sqrt(x+1) - sqrt(x-1)
Time bar (total: 4.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 50% | 0% | 0% | 50% | 0% | 2 |
| 50% | 25% | 25% | 0% | 0% | 50% | 0% | 3 |
| 66.7% | 25% | 12.5% | 0% | 0% | 62.5% | 0% | 4 |
| 80% | 25% | 6.2% | 0% | 0% | 68.7% | 0% | 5 |
| 88.9% | 25% | 3.1% | 0% | 0% | 71.8% | 0% | 6 |
| 94.1% | 25% | 1.6% | 0% | 0% | 73.4% | 0% | 7 |
| 97% | 25% | 0.8% | 0% | 0% | 74.2% | 0% | 8 |
| 98.5% | 25% | 0.4% | 0% | 0% | 74.6% | 0% | 9 |
| 99.2% | 25% | 0.2% | 0% | 0% | 74.8% | 0% | 10 |
| 99.6% | 25% | 0.1% | 0% | 0% | 74.9% | 0% | 11 |
| 99.8% | 25% | 0% | 0% | 0% | 74.9% | 0% | 12 |
Compiled 17 to 13 computations (23.5% saved)
| 1.2s | 7 985× | 1 | valid |
| 15.0ms | 271× | 0 | valid |
| 1.0ms | 13× | 0 | invalid |
ival-sqrt: 367.0ms (37.9% of total)adjust: 213.0ms (22% of total)ival-sub: 160.0ms (16.5% of total)ival-add: 146.0ms (15.1% of total)ival-<=: 50.0ms (5.2% of total)exact: 15.0ms (1.5% of total)ival-and: 14.0ms (1.4% of total)ival-assert: 4.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 256 | 0 | - | 1 | (72.49015648507138) | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
| 0 | 0 | - | 0 | - | (+.f64 x #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (sqrt.f64 (-.f64 x #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | (-.f64 x #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) | cancellation | 255 | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 255 | 1 |
| - | 0 | 0 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 255 | 1 | 0 |
| - | 0 | 0 | 0 |
| number | freq |
|---|---|
| 0 | 1 |
| 1 | 255 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 63.0ms | 502× | 1 | valid |
| 1.0ms | 10× | 0 | valid |
Compiled 63 to 25 computations (60.3% saved)
ival-sqrt: 15.0ms (35.3% of total)adjust: 11.0ms (25.9% of total)ival-sub: 10.0ms (23.5% of total)ival-add: 5.0ms (11.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 23 |
| 1 | 21 | 21 |
| 2 | 49 | 18 |
| 3 | 90 | 18 |
| 4 | 142 | 18 |
| 5 | 201 | 18 |
| 6 | 227 | 18 |
| 7 | 237 | 18 |
| 0 | 7 | 9 |
| 0 | 12 | 9 |
| 1 | 20 | 9 |
| 2 | 24 | 9 |
| 3 | 30 | 9 |
| 4 | 38 | 9 |
| 5 | 53 | 9 |
| 6 | 85 | 9 |
| 7 | 111 | 9 |
| 8 | 160 | 9 |
| 9 | 176 | 9 |
| 10 | 184 | 9 |
| 0 | 184 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
| Outputs |
|---|
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
Compiled 9 to 7 computations (22.2% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 5.8% | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
Compiled 9 to 7 computations (22.2% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 (-.f64 x #s(literal 1 binary64))) | |
| cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (sqrt.f64 (+.f64 x #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 25 |
| 0 | 12 | 25 |
| 1 | 20 | 25 |
| 2 | 24 | 25 |
| 3 | 30 | 25 |
| 4 | 38 | 25 |
| 5 | 53 | 25 |
| 6 | 85 | 25 |
| 7 | 111 | 25 |
| 8 | 160 | 25 |
| 9 | 176 | 25 |
| 10 | 184 | 25 |
| 0 | 184 | 25 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(sqrt.f64 (-.f64 x #s(literal 1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) x)) |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) x) |
x |
#s(literal 1 binary64) |
(sqrt.f64 (-.f64 x #s(literal 1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (+.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.0 | (sqrt.f64 (+.f64 x #s(literal 1 binary64))) | |
| accuracy | 0.00390625 | (sqrt.f64 (-.f64 x #s(literal 1 binary64))) | |
| accuracy | 60.21999488901135 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
| 30.0ms | 251× | 1 | valid |
| 0.0ms | 5× | 0 | valid |
Compiled 27 to 9 computations (66.7% saved)
ival-sqrt: 7.0ms (34.2% of total)adjust: 6.0ms (29.3% of total)ival-sub: 4.0ms (19.6% of total)ival-add: 3.0ms (14.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(sqrt.f64 (-.f64 x #s(literal 1 binary64))) |
| Outputs |
|---|
(- 1 (sqrt -1)) |
(- (+ 1 (* x (- 1/2 (* 1/2 (/ 1 (sqrt -1)))))) (sqrt -1)) |
(- (+ 1 (* x (- (+ 1/2 (* x (- (* 1/8 (/ 1 (pow (sqrt -1) 3))) 1/8))) (* 1/2 (/ 1 (sqrt -1)))))) (sqrt -1)) |
(- (+ 1 (* x (- (+ 1/2 (* x (- (+ (* 1/8 (/ 1 (pow (sqrt -1) 3))) (* x (- 1/16 (* 1/16 (/ 1 (pow (sqrt -1) 5)))))) 1/8))) (* 1/2 (/ 1 (sqrt -1)))))) (sqrt -1)) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(+ 1 x) |
(sqrt -1) |
(+ (sqrt -1) (* 1/2 (/ x (sqrt -1)))) |
(+ (sqrt -1) (* x (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))) |
(+ (sqrt -1) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1)))))) |
(/ (- (* 1/2 (sqrt x)) (* -1/2 (sqrt x))) x) |
(/ (- (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))) (+ (* -1/2 (sqrt x)) (* -1/16 (sqrt (/ 1 (pow x 3)))))) x) |
(/ (- (+ (* 7/256 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/16 (sqrt (/ 1 (pow x 3)))) (* -7/256 (sqrt (/ 1 (pow x 7))))))) x) |
(/ (- (+ (* 33/2048 (sqrt (/ 1 (pow x 11)))) (+ (* 7/256 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) (+ (* -1/2 (sqrt x)) (+ (* -1/16 (sqrt (/ 1 (pow x 3)))) (+ (* -7/256 (sqrt (/ 1 (pow x 7)))) (* -33/2048 (sqrt (/ 1 (pow x 11)))))))) x) |
(sqrt x) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 (pow x 5))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* -1/16 (sqrt (/ 1 (pow x 7)))))))) |
(* -1 (/ (- (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) x)) |
(* -1 (/ (- (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2))))) x)) |
(* -1 (/ (- (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))))) x)) |
(* -1 (/ (- (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2))))))) x)) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | ((- (sqrt (+ x 1)) (sqrt (- x 1))) (sqrt (+ x 1)) (+ x 1) (sqrt (- x 1))) |
| 3.0ms | x | @ | inf | ((- (sqrt (+ x 1)) (sqrt (- x 1))) (sqrt (+ x 1)) (+ x 1) (sqrt (- x 1))) |
| 1.0ms | x | @ | 0 | ((- (sqrt (+ x 1)) (sqrt (- x 1))) (sqrt (+ x 1)) (+ x 1) (sqrt (- x 1))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 216 | 853 |
| 1 | 648 | 717 |
| 2 | 2239 | 678 |
| 0 | 8297 | 621 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 1 (sqrt -1)) |
(- (+ 1 (* x (- 1/2 (* 1/2 (/ 1 (sqrt -1)))))) (sqrt -1)) |
(- (+ 1 (* x (- (+ 1/2 (* x (- (* 1/8 (/ 1 (pow (sqrt -1) 3))) 1/8))) (* 1/2 (/ 1 (sqrt -1)))))) (sqrt -1)) |
(- (+ 1 (* x (- (+ 1/2 (* x (- (+ (* 1/8 (/ 1 (pow (sqrt -1) 3))) (* x (- 1/16 (* 1/16 (/ 1 (pow (sqrt -1) 5)))))) 1/8))) (* 1/2 (/ 1 (sqrt -1)))))) (sqrt -1)) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(+ 1 x) |
(sqrt -1) |
(+ (sqrt -1) (* 1/2 (/ x (sqrt -1)))) |
(+ (sqrt -1) (* x (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))) |
(+ (sqrt -1) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1)))))) |
(/ (- (* 1/2 (sqrt x)) (* -1/2 (sqrt x))) x) |
(/ (- (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))) (+ (* -1/2 (sqrt x)) (* -1/16 (sqrt (/ 1 (pow x 3)))))) x) |
(/ (- (+ (* 7/256 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/16 (sqrt (/ 1 (pow x 3)))) (* -7/256 (sqrt (/ 1 (pow x 7))))))) x) |
(/ (- (+ (* 33/2048 (sqrt (/ 1 (pow x 11)))) (+ (* 7/256 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) (+ (* -1/2 (sqrt x)) (+ (* -1/16 (sqrt (/ 1 (pow x 3)))) (+ (* -7/256 (sqrt (/ 1 (pow x 7)))) (* -33/2048 (sqrt (/ 1 (pow x 11)))))))) x) |
(sqrt x) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 (pow x 5))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* -1/16 (sqrt (/ 1 (pow x 7)))))))) |
(* -1 (/ (- (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) x)) |
(* -1 (/ (- (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2))))) x)) |
(* -1 (/ (- (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))))) x)) |
(* -1 (/ (- (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2))))))) x)) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
| Outputs |
|---|
(- 1 (sqrt -1)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) |
(- (+ 1 (* x (- 1/2 (* 1/2 (/ 1 (sqrt -1)))))) (sqrt -1)) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) x (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) |
(- (+ 1 (* x (- (+ 1/2 (* x (- (* 1/8 (/ 1 (pow (sqrt -1) 3))) 1/8))) (* 1/2 (/ 1 (sqrt -1)))))) (sqrt -1)) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))))) x (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) |
(- (+ 1 (* x (- (+ 1/2 (* x (- (+ (* 1/8 (/ 1 (pow (sqrt -1) 3))) (* x (- 1/16 (* 1/16 (/ 1 (pow (sqrt -1) 5)))))) 1/8))) (* 1/2 (/ 1 (sqrt -1)))))) (sqrt -1)) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) x (-.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64))) x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))))) x (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 x)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(sqrt -1) |
(sqrt.f64 #s(literal -1 binary64)) |
(+ (sqrt -1) (* 1/2 (/ x (sqrt -1)))) |
(fma.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) |
(+ (sqrt -1) (* x (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))) |
(fma.f64 (fma.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) x (sqrt.f64 #s(literal -1 binary64))) |
(+ (sqrt -1) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1)))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64)))) x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) x (sqrt.f64 #s(literal -1 binary64))) |
(/ (- (* 1/2 (sqrt x)) (* -1/2 (sqrt x))) x) |
(/.f64 (sqrt.f64 x) x) |
(/ (- (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))) (+ (* -1/2 (sqrt x)) (* -1/16 (sqrt (/ 1 (pow x 3)))))) x) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (sqrt.f64 x))) x) |
(/ (- (+ (* 7/256 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) (+ (* -1/2 (sqrt x)) (+ (* -1/16 (sqrt (/ 1 (pow x 3)))) (* -7/256 (sqrt (/ 1 (pow x 7))))))) x) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 7/256 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 7/256 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (sqrt.f64 x))))) x) |
(/ (- (+ (* 33/2048 (sqrt (/ 1 (pow x 11)))) (+ (* 7/256 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) (+ (* -1/2 (sqrt x)) (+ (* -1/16 (sqrt (/ 1 (pow x 3)))) (+ (* -7/256 (sqrt (/ 1 (pow x 7)))) (* -33/2048 (sqrt (/ 1 (pow x 11)))))))) x) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 7/256 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64)))) #s(literal 33/2048 binary64) (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (sqrt.f64 x)) (fma.f64 #s(literal -33/2048 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64)))) (fma.f64 #s(literal -7/256 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (*.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))))) x) |
(sqrt x) |
(sqrt.f64 x) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3)))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* -1/8 (sqrt (/ 1 (pow x 5))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* -1/16 (sqrt (/ 1 (pow x 7)))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal -1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x) |
(* -1 (/ (- (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) x)) |
(/.f64 (neg.f64 (sqrt.f64 x)) x) |
(* -1 (/ (- (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2))))) x)) |
(/.f64 (neg.f64 (sqrt.f64 x)) x) |
(* -1 (/ (- (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))))) x)) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (sqrt.f64 x))) (neg.f64 x)) |
(* -1 (/ (- (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2))))))) x)) |
(/.f64 (-.f64 (fma.f64 (/.f64 #s(literal -5/128 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))))) (neg.f64 x)) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal -1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 20 |
| 0 | 12 | 20 |
| 1 | 52 | 20 |
| 2 | 365 | 20 |
| 3 | 5539 | 20 |
| 0 | 8169 | 20 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(sqrt.f64 (-.f64 x #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))) (-.f64 (-.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) (+.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)))) (fma.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))) (-.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x) (-.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x)) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) |
(*.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x) (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (+.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64))) (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64)) (-.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x)) |
(*.f64 (pow.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (pow.f64 (neg.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (pow.f64 (neg.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) |
(*.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (pow.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x) (pow.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) (/.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (+.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))))) |
(*.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) (*.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (pow.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) (pow.f64 (-.f64 (-.f64 (+.f64 (-.f64 x #s(literal -1 binary64)) x) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64))) (pow.f64 (+.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) |
(pow.f64 (/.f64 (-.f64 (-.f64 (+.f64 (-.f64 x #s(literal -1 binary64)) x) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64))) (-.f64 (+.f64 (-.f64 x #s(literal -1 binary64)) x) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) |
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(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) |
(fma.f64 (/.f64 (*.f64 x x) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 x (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 x (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 x (pow.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 x (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (/.f64 x (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x (-.f64 x #s(literal 1 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x)) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)) (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) x)) |
(fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 x x) (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 x x))) |
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 x (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(fma.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64)) |
(fma.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64)) |
(sqrt.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) |
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 x #s(literal -1 binary64)) |
(fabs.f64 (-.f64 x #s(literal -1 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log1p.f64 x)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64))) |
(exp.f64 (log1p.f64 x)) |
(+.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 x (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) x)) |
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 x x)) (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)))) |
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 x x))) |
(+.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(+.f64 #s(literal 1 binary64) x) |
(+.f64 x #s(literal 1 binary64)) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (hypot.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) x) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (sqrt.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) |
(*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (/.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
(pow.f64 (/.f64 (hypot.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) x) (sqrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (sqrt.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/8 binary64)) |
(pow.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64))) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (hypot.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) x))) |
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x)))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (hypot.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) x)) |
(/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) x) (sqrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(sqrt.f64 (-.f64 x #s(literal 1 binary64))) |
(fabs.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) |
Compiled 8 910 to 1 278 computations (85.7% saved)
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 361 | 5 | 366 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 361 | 6 | 367 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 7.6% | (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) |
| ▶ | 6.3% | (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))) (+.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))) |
| ✓ | 5.8% | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
| ▶ | 1.6% | (-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
| ▶ | 98.9% | #s(approx (- (sqrt (+ x 1)) (sqrt (- x 1))) (/.f64 (sqrt.f64 x) x)) |
| ▶ | 0.0% | #s(approx (- (sqrt (+ x 1)) (sqrt (- x 1))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) |
Compiled 287 to 121 computations (57.8% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 1 | (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) | |
| cost-diff | 14 | (+.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) | |
| cost-diff | 28 | (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))) (+.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))) | |
| cost-diff | 29 | (-.f64 (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))) | |
| cost-diff | 0 | (-.f64 x #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) | |
| cost-diff | 2 | (-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) | |
| cost-diff | 4 | (-.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x) | |
| cost-diff | 0 | (-.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (sqrt.f64 (-.f64 x #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) | |
| cost-diff | 0 | (sqrt.f64 #s(literal -1 binary64)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) | |
| cost-diff | 0 | #s(approx (- (sqrt (+ x 1)) (sqrt (- x 1))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (/.f64 (sqrt.f64 x) x) | |
| cost-diff | 0 | #s(approx (- (sqrt (+ x 1)) (sqrt (- x 1))) (/.f64 (sqrt.f64 x) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 395 |
| 0 | 51 | 321 |
| 1 | 100 | 309 |
| 2 | 215 | 309 |
| 3 | 652 | 293 |
| 4 | 2685 | 265 |
| 0 | 8085 | 264 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (sqrt (+ x 1)) (sqrt (- x 1))) (/.f64 (sqrt.f64 x) x)) |
(/.f64 (sqrt.f64 x) x) |
(sqrt.f64 x) |
x |
#s(approx (- (sqrt (+ x 1)) (sqrt (- x 1))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(sqrt.f64 #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(sqrt.f64 (-.f64 x #s(literal 1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
x |
(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) |
(-.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x) |
(-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
(+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) |
(sqrt.f64 (-.f64 x #s(literal 1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(sqrt.f64 (-.f64 x #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))) (+.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))) |
(-.f64 (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))) |
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) |
(/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) |
(-.f64 x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
(+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) |
(sqrt.f64 (-.f64 x #s(literal 1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(sqrt.f64 (-.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) |
(/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) |
(+.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) |
| Outputs |
|---|
#s(approx (- (sqrt (+ x 1)) (sqrt (- x 1))) (/.f64 (sqrt.f64 x) x)) |
(/.f64 (sqrt.f64 x) x) |
(sqrt.f64 x) |
x |
#s(approx (- (sqrt (+ x 1)) (sqrt (- x 1))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(sqrt.f64 #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(sqrt.f64 (-.f64 x #s(literal 1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
x |
(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) |
(/.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) |
(-.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x) |
#s(literal 2 binary64) |
(-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) |
(-.f64 x #s(literal -2 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
(+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) |
(+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
(sqrt.f64 (-.f64 x #s(literal 1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(sqrt.f64 (-.f64 x #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))) (+.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))) |
(/.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) |
(-.f64 (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))) |
(*.f64 (/.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) |
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))) |
(/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) |
(/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) |
(-.f64 x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
(+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) |
(+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
(sqrt.f64 (-.f64 x #s(literal 1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(sqrt.f64 (-.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) |
(/.f64 (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))) |
(/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) |
(/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) |
(+.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) | |
| accuracy | 0.0 | (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) | |
| accuracy | 0.0 | (sqrt.f64 (-.f64 x #s(literal 1 binary64))) | |
| accuracy | 0.0 | (sqrt.f64 (-.f64 x #s(literal -1 binary64))) | |
| accuracy | 0.0 | (-.f64 x #s(literal -1 binary64)) | |
| accuracy | 0.0 | (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) | |
| accuracy | 0.0 | (sqrt.f64 (-.f64 x #s(literal 1 binary64))) | |
| accuracy | 0.0 | (sqrt.f64 (-.f64 x #s(literal -1 binary64))) | |
| accuracy | 0.0 | (-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) | |
| accuracy | 0.0 | (-.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.0 | (sqrt.f64 (-.f64 x #s(literal 1 binary64))) | |
| accuracy | 0.0 | #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) | |
| accuracy | 0.0 | (sqrt.f64 #s(literal -1 binary64)) | |
| accuracy | 0.0 | #s(approx (- (sqrt (+ x 1)) (sqrt (- x 1))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) | |
| accuracy | 0.0 | (/.f64 (sqrt.f64 x) x) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.0 | #s(approx (- (sqrt (+ x 1)) (sqrt (- x 1))) (/.f64 (sqrt.f64 x) x)) |
| 46.0ms | 256× | 0 | invalid |
Compiled 383 to 27 computations (93% saved)
ival-sub: 8.0ms (27.3% of total)ival-sqrt: 8.0ms (27.3% of total)ival-div: 7.0ms (23.9% of total)ival-add: 4.0ms (13.7% of total)ival-mult: 3.0ms (10.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (- (sqrt (+ x 1)) (sqrt (- x 1))) (/.f64 (sqrt.f64 x) x)) |
(/.f64 (sqrt.f64 x) x) |
(sqrt.f64 x) |
#s(approx (- (sqrt (+ x 1)) (sqrt (- x 1))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) |
(sqrt.f64 #s(literal -1 binary64)) |
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) |
(sqrt.f64 (-.f64 x #s(literal 1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
(-.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x) |
(-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) |
(-.f64 x #s(literal -1 binary64)) |
(-.f64 (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))) (+.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))) |
(+.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) |
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) |
(sqrt.f64 (-.f64 x #s(literal -1 binary64))) |
(+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) |
| Outputs |
|---|
(- 1 (sqrt -1)) |
(- (+ 1 (* x (- 1/2 (* 1/2 (/ 1 (sqrt -1)))))) (sqrt -1)) |
(- (+ 1 (* x (- (+ 1/2 (* x (- (* 1/8 (/ 1 (pow (sqrt -1) 3))) 1/8))) (* 1/2 (/ 1 (sqrt -1)))))) (sqrt -1)) |
(- (+ 1 (* x (- (+ 1/2 (* x (- (+ (* 1/8 (/ 1 (pow (sqrt -1) 3))) (* x (- 1/16 (* 1/16 (/ 1 (pow (sqrt -1) 5)))))) 1/8))) (* 1/2 (/ 1 (sqrt -1)))))) (sqrt -1)) |
(sqrt (/ 1 x)) |
(sqrt x) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(sqrt -1) |
(+ (sqrt -1) (* 1/2 (/ x (sqrt -1)))) |
(+ (sqrt -1) (* x (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))) |
(+ (sqrt -1) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1)))))) |
-1 |
(- x 1) |
2 |
(+ 2 x) |
(/ 2 (+ 1 (sqrt -1))) |
(+ (* -2 (/ (* x (+ 1/2 (* 1/2 (/ 1 (sqrt -1))))) (pow (+ 1 (sqrt -1)) 2))) (* 2 (/ 1 (+ 1 (sqrt -1))))) |
(+ (* x (- (* -1 (* x (+ (* -2 (/ (+ 1/8 (* 1/8 (/ 1 (pow (sqrt -1) 3)))) (pow (+ 1 (sqrt -1)) 2))) (* -2 (/ (pow (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) 2) (pow (+ 1 (sqrt -1)) 3)))))) (* 2 (/ (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) (pow (+ 1 (sqrt -1)) 2))))) (* 2 (/ 1 (+ 1 (sqrt -1))))) |
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) (+ (* -2 (/ (+ 1/8 (* 1/8 (/ 1 (pow (sqrt -1) 3)))) (pow (+ 1 (sqrt -1)) 2))) (* -2 (/ (pow (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) 2) (pow (+ 1 (sqrt -1)) 3))))) (+ 1 (sqrt -1)))) (+ (* 2 (/ (* (+ 1/8 (* 1/8 (/ 1 (pow (sqrt -1) 3)))) (+ 1/2 (* 1/2 (/ 1 (sqrt -1))))) (pow (+ 1 (sqrt -1)) 3))) (* 2 (/ (+ 1/16 (* 1/16 (/ 1 (pow (sqrt -1) 5)))) (pow (+ 1 (sqrt -1)) 2))))))) (+ (* -2 (/ (+ 1/8 (* 1/8 (/ 1 (pow (sqrt -1) 3)))) (pow (+ 1 (sqrt -1)) 2))) (* -2 (/ (pow (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) 2) (pow (+ 1 (sqrt -1)) 3)))))) (* 2 (/ (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) (pow (+ 1 (sqrt -1)) 2))))) (* 2 (/ 1 (+ 1 (sqrt -1))))) |
(+ 1 x) |
(* 4 (/ x (pow (+ 1 (sqrt -1)) 2))) |
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(/ (+ (sqrt x) (+ (* 1/2 (/ (+ (* -1/2 (sqrt (pow x 3))) (+ (* 1/2 (sqrt (pow x 3))) (* 2 (* (sqrt (/ 1 x)) (- (* -1/2 (* (sqrt (pow x 3)) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))))) (* 1/2 (* (sqrt (pow x 3)) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x)))))))))) (pow x 2))) (+ (* 1/2 (/ (+ (* -1/4 (sqrt (pow x 5))) (+ (* 2 (* (sqrt (/ 1 x)) (- (+ (* -1/8 (* (pow x 2) (- (pow (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) 2) x))) (* 1/2 (* (pow x 2) (pow (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) 2)))) (+ (* -1/2 (* (pow x 2) (pow (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) 2))) (* 1/8 (* (pow x 2) (- (pow (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) 2) x))))))) (* (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) (- (* -1/2 (* (sqrt (pow x 3)) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))))) (* 1/2 (* (sqrt (pow x 3)) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))))))))) (pow x 4))) (* 1/2 (/ (+ (* -1/4 (* (sqrt (pow x 3)) (- (* -1/2 (* (sqrt (pow x 3)) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))))) (* 1/2 (* (sqrt (pow x 3)) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x)))))))) (+ (* -1/16 (sqrt (pow x 7))) (+ (* 1/16 (sqrt (pow x 7))) (+ (* 2 (* (sqrt (/ 1 x)) (- (+ (* -1 (* (sqrt x) (* (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) (+ (* -1/8 (* (pow x 2) (- (pow (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) 2) x))) (* 1/2 (* (pow x 2) (pow (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) 2))))))) (+ (* -1/8 (* (pow x 2) (+ (* -1/2 (* (sqrt (pow x 3)) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))))) (* 4 (* (sqrt (/ 1 x)) (+ (* -1/16 (sqrt (pow x 5))) (* 1/16 (sqrt (pow x 5))))))))) (* 1/8 (* (sqrt (pow x 5)) (* (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) (- (pow (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) 2) x)))))) (+ (* -1 (* (sqrt x) (* (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) (+ (* -1/2 (* (pow x 2) (pow (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) 2))) (* 1/8 (* (pow x 2) (- (pow (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) 2) x))))))) (+ (* -1/8 (* (sqrt (pow x 5)) (* (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) (- (pow (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) 2) x)))) (* 1/8 (* (pow x 2) (+ (* -1/2 (* (sqrt (pow x 3)) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))))) (* 4 (* (sqrt (/ 1 x)) (+ (* -1/16 (sqrt (pow x 5))) (* 1/16 (sqrt (pow x 5)))))))))))))) (* (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) (- (+ (* -1/8 (* (pow x 2) (- (pow (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) 2) x))) (* 1/2 (* (pow x 2) (pow (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) 2)))) (+ (* -1/2 (* (pow x 2) (pow (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) 2))) (* 1/8 (* (pow x 2) (- (pow (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) 2) x)))))))))) (pow x 6)))))) x) |
(+ (sqrt x) (* -1/2 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) x))) |
(+ (sqrt x) (+ (* -2 (/ (+ (* -1/8 (* (sqrt (pow x 3)) (pow (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) 2))) (* -1/16 (sqrt (pow x 5)))) (pow x 4))) (* -1/2 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) x)))) |
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(* 1/4 x) |
(- (* 1/4 x) 1/2) |
(- (+ (* 1/4 x) (* 1/4 (/ 1 x))) (+ 1/2 (* 1/4 (* (sqrt (/ 1 x)) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))))))) |
(- (+ (* 1/4 x) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))))) (* 1/4 (/ 1 x)))) (+ 1/2 (* 1/4 (* (sqrt (/ 1 x)) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))))))) |
(* 2 (sqrt x)) |
(* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))) |
(* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))) |
(* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (+ (* -1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))))) |
(+ 1/2 (* 1/4 x)) |
(- (+ 1/2 (+ (* 1/4 x) (* 1/4 (/ 1 x)))) (* 1/4 (* (sqrt (/ 1 x)) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x)))))) |
(- (+ 1/2 (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))))) (+ (* 1/4 x) (* 1/4 (/ 1 x))))) (* 1/4 (* (sqrt (/ 1 x)) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x)))))) |
(* -1 (/ (- (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) x)) |
(* -1 (/ (- (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2))))) x)) |
(* -1 (/ (- (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))))) x)) |
(* -1 (/ (- (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2))))))) x)) |
(* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (sqrt (/ 1 x))) |
(* -1 (/ (+ (sqrt x) (* 1/2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) (* x (pow (sqrt -1) 2))))) x)) |
(* -1 (/ (- (+ (sqrt x) (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (pow x 3)) (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) 2) (pow (sqrt -1) 2))))) (pow x 4)))) (* -1/2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) (* x (pow (sqrt -1) 2))))) x)) |
(* -1 (/ (- (+ (sqrt x) (* -1 (/ (+ (* -1/2 (* (sqrt x) (* (+ (* -1/2 (/ (* x (+ (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (pow x 3)) (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) 2) (pow (sqrt -1) 2))))) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2))))))) (+ (* -1/2 (/ (* x (+ (* 1/16 (* (sqrt (pow x 5)) (/ 1 (pow (sqrt -1) 4)))) (* 1/16 (* (sqrt (pow x 5)) (pow (sqrt -1) 2))))) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (pow x 3)) (/ (* (+ (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2))))) (pow (sqrt -1) 2)))))) (pow x 6)))) (+ (* -1/2 (/ (+ (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))) (* (pow x 3) (pow (sqrt -1) 2)))) (+ (* -1/2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) (* x (pow (sqrt -1) 2)))) (* -1/4 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) 2) (pow (sqrt -1) 2))))))) x)) |
(/ -1 (pow (sqrt -1) 2)) |
(* -1 (/ (- (* 1/2 (* (sqrt (/ 1 x)) (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 x)) (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))))) x)) |
(* -1 (/ (- (+ (* -1/2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) 2) (* (pow x 2) (pow (sqrt -1) 4)))) (+ (* 1/8 (/ (+ (* 4 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))))) (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) 2)) (* (pow x 2) (pow (sqrt -1) 4)))) (* 1/2 (* (sqrt (/ 1 x)) (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))))) (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (/ 1 x)) (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (+ (* -1/8 (/ (+ (* 4 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))))) (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) 2)) (* (pow x 2) (pow (sqrt -1) 4)))) (* 1/2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) 2) (* (pow x 2) (pow (sqrt -1) 4)))))))) x)) |
(* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (pow x 11))) (* (+ (* -1/2 (/ (* (pow x 2) (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) 2)) (pow (sqrt -1) 4))) (* 1/8 (/ (* (pow x 2) (+ (* 4 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))))) (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) 2))) (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2))))))) (+ (* -1/2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) 2) (* (pow x 2) (pow (sqrt -1) 4)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 7))) (/ (* (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) (+ (* 4 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))))) (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) 2))) (pow (sqrt -1) 4)))) (+ (* 1/8 (/ (+ (* 2 (* (+ (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))))) (* 4 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (* 1/16 (* (sqrt (pow x 5)) (/ 1 (pow (sqrt -1) 4)))) (* 1/16 (* (sqrt (pow x 5)) (pow (sqrt -1) 2)))))))) (* (pow x 4) (pow (sqrt -1) 4)))) (+ (* 1/8 (/ (+ (* 4 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))))) (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) 2)) (* (pow x 2) (pow (sqrt -1) 4)))) (* 1/2 (* (sqrt (/ 1 x)) (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))))))) (+ (* -1 (* (sqrt (/ 1 (pow x 11))) (* (+ (* -1/8 (/ (* (pow x 2) (+ (* 4 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))))) (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) 2))) (pow (sqrt -1) 4))) (* 1/2 (/ (* (pow x 2) (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) 2)) (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2))))))) (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (/ 1 x)) (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (+ (* -1/8 (/ (+ (* 2 (* (+ (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))))) (* 4 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (* 1/16 (* (sqrt (pow x 5)) (/ 1 (pow (sqrt -1) 4)))) (* 1/16 (* (sqrt (pow x 5)) (pow (sqrt -1) 2)))))))) (* (pow x 4) (pow (sqrt -1) 4)))) (+ (* -1/8 (/ (+ (* 4 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))))) (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) 2)) (* (pow x 2) (pow (sqrt -1) 4)))) (+ (* 1/8 (* (sqrt (/ 1 (pow x 7))) (/ (* (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) (+ (* 4 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))))) (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) 2))) (pow (sqrt -1) 4)))) (* 1/2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) 2) (* (pow x 2) (pow (sqrt -1) 4))))))))))) x)) |
(/ -1 (* (pow (sqrt -1) 2) (- (* -1/2 (sqrt x)) (* 1/2 (sqrt x))))) |
(* -1 (/ (- (+ (* -1/2 (* (sqrt x) (/ 1 (* (pow (sqrt -1) 2) (pow (- (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) 2))))) (* 1/2 (* (sqrt x) (/ 1 (* (pow (sqrt -1) 2) (pow (- (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) 2)))))) (* -1 (/ x (* (pow (sqrt -1) 2) (- (* -1/2 (sqrt x)) (* 1/2 (sqrt x))))))) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (* (sqrt (pow x 3)) (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) (* (pow (sqrt -1) 2) (- (* -1/2 (sqrt x)) (* 1/2 (sqrt x))))))) (+ (* -1 (/ (* x (pow (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) 2)) (* (pow (sqrt -1) 2) (pow (- (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) 3)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) (* (pow (sqrt -1) 2) (- (* -1/2 (sqrt x)) (* 1/2 (sqrt x))))))) (* -1/2 (/ (* (pow x 2) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2))))) (* (pow (sqrt -1) 4) (pow (- (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) 2))))))) x)) (/ (* x (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x)))) (* (pow (sqrt -1) 2) (pow (- (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) 2)))) x)) (* -1 (/ x (* (pow (sqrt -1) 2) (- (* -1/2 (sqrt x)) (* 1/2 (sqrt x))))))) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (* (sqrt (pow x 3)) (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) (* (pow (sqrt -1) 2) (- (* -1/2 (sqrt x)) (* 1/2 (sqrt x))))))) (+ (* 1/2 (/ (* x (* (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))))) (* (pow (sqrt -1) 4) (pow (- (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) 3)))) (/ (* (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) (- (* 1/2 (* (sqrt (pow x 3)) (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) (* (pow (sqrt -1) 2) (- (* -1/2 (sqrt x)) (* 1/2 (sqrt x))))))) (+ (* -1 (/ (* x (pow (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) 2)) (* (pow (sqrt -1) 2) (pow (- (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) 3)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) (* (pow (sqrt -1) 2) (- (* -1/2 (sqrt x)) (* 1/2 (sqrt x))))))) (* -1/2 (/ (* (pow x 2) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2))))) (* (pow (sqrt -1) 4) (pow (- (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) 2)))))))) (* x (- (* -1/2 (sqrt x)) (* 1/2 (sqrt x))))))) (+ (* -1 (/ (* x (pow (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) 2)) (* (pow (sqrt -1) 2) (pow (- (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) 3)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) (* (pow (sqrt -1) 2) (- (* -1/2 (sqrt x)) (* 1/2 (sqrt x))))))) (* -1/2 (/ (* (pow x 2) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2))))) (* (pow (sqrt -1) 4) (pow (- (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) 2))))))) x)) (/ (* x (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x)))) (* (pow (sqrt -1) 2) (pow (- (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) 2)))) x)) (* -1 (/ x (* (pow (sqrt -1) 2) (- (* -1/2 (sqrt x)) (* 1/2 (sqrt x))))))) x)) |
(- (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) |
(- (+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) x)) (* -1/2 (sqrt x))) (* 1/2 (sqrt x))) |
(- (+ (* -1 (/ (+ (* -1/2 (sqrt x)) (+ (* 1/2 (sqrt x)) (* 1/2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) x)) (* -1/2 (sqrt x))) (* 1/2 (sqrt x))) |
(- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* x (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2))))) (pow (sqrt -1) 2))) (+ (* -1/2 (/ (+ (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))) (* x (pow (sqrt -1) 2)))) (* -1/4 (* (sqrt (/ 1 x)) (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) 2) (pow (sqrt -1) 2)))))) x)) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x)))) x)) (* -1/2 (sqrt x))) (* 1/2 (sqrt x))) |
(* -1/4 (/ x (pow (sqrt -1) 2))) |
(+ (* -1/4 (/ x (pow (sqrt -1) 2))) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (+ (* -1 (/ (- (* -1/4 (/ x (pow (sqrt -1) 2))) (* 1/4 (* (sqrt (pow x 3)) (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) x)) (* -1/2 (/ x (pow (sqrt -1) 2)))) x)) (* -1/4 (/ x (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (* 1/2 (* (sqrt x) (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* 1/4 (* (sqrt (pow x 3)) (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) x)) (* -1/2 (/ x (pow (sqrt -1) 2)))) x)) (* -1/4 (/ x (pow (sqrt -1) 2)))) |
(* -2 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))))) |
(- (* -1/4 (/ x (pow (sqrt -1) 2))) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (- (* -1 (/ (- (* -1/4 (/ x (pow (sqrt -1) 2))) (* 1/4 (* (sqrt (pow x 3)) (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) x)) (* -1/2 (/ x (pow (sqrt -1) 2)))) x)) (* -1/4 (/ x (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt x) (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/4 (/ x (pow (sqrt -1) 2)))) (* 1/4 (* (sqrt (pow x 3)) (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) x)) (* -1/2 (/ x (pow (sqrt -1) 2)))) x)) (* -1/4 (/ x (pow (sqrt -1) 2)))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 21.0ms | x | @ | -inf | ((- (sqrt (+ x 1)) (sqrt (- x 1))) (/ (sqrt x) x) (sqrt x) (- (sqrt (+ x 1)) (sqrt (- x 1))) (- 1 (sqrt -1)) (sqrt -1) (- (sqrt (+ x 1)) (sqrt (- x 1))) (sqrt (+ x 1)) (sqrt (- x 1)) (- x 1) (- (- (- x -1) -1) x) (- (- x -1) -1) (/ (- (- (- x -1) -1) x) (+ (sqrt (- x 1)) (sqrt (- x -1)))) (- x -1) (- (* (/ (- x -1) (+ (sqrt (- x 1)) (sqrt (- x -1)))) (/ (- x -1) (+ (sqrt (- x 1)) (sqrt (- x -1))))) (* (/ (- x 1) (+ (sqrt (- x 1)) (sqrt (- x -1)))) (/ (- x 1) (+ (sqrt (- x 1)) (sqrt (- x -1)))))) (/ (- (* (/ (- x -1) (+ (sqrt (- x 1)) (sqrt (- x -1)))) (/ (- x -1) (+ (sqrt (- x 1)) (sqrt (- x -1))))) (* (/ (- x 1) (+ (sqrt (- x 1)) (sqrt (- x -1)))) (/ (- x 1) (+ (sqrt (- x 1)) (sqrt (- x -1)))))) (+ (/ (- x -1) (+ (sqrt (- x 1)) (sqrt (- x -1)))) (/ (- x 1) (+ (sqrt (- x 1)) (sqrt (- x -1)))))) (+ (/ (- x -1) (+ (sqrt (- x 1)) (sqrt (- x -1)))) (/ (- x 1) (+ (sqrt (- x 1)) (sqrt (- x -1))))) (* (/ (- x 1) (+ (sqrt (- x 1)) (sqrt (- x -1)))) (/ (- x 1) (+ (sqrt (- x 1)) (sqrt (- x -1))))) (sqrt (- x -1)) (+ (sqrt (- x 1)) (sqrt (- x -1))) (* (/ (- x -1) (+ (sqrt (- x 1)) (sqrt (- x -1)))) (/ (- x -1) (+ (sqrt (- x 1)) (sqrt (- x -1)))))) |
| 20.0ms | x | @ | inf | ((- (sqrt (+ x 1)) (sqrt (- x 1))) (/ (sqrt x) x) (sqrt x) (- (sqrt (+ x 1)) (sqrt (- x 1))) (- 1 (sqrt -1)) (sqrt -1) (- (sqrt (+ x 1)) (sqrt (- x 1))) (sqrt (+ x 1)) (sqrt (- x 1)) (- x 1) (- (- (- x -1) -1) x) (- (- x -1) -1) (/ (- (- (- x -1) -1) x) (+ (sqrt (- x 1)) (sqrt (- x -1)))) (- x -1) (- (* (/ (- x -1) (+ (sqrt (- x 1)) (sqrt (- x -1)))) (/ (- x -1) (+ (sqrt (- x 1)) (sqrt (- x -1))))) (* (/ (- x 1) (+ (sqrt (- x 1)) (sqrt (- x -1)))) (/ (- x 1) (+ (sqrt (- x 1)) (sqrt (- x -1)))))) (/ (- (* (/ (- x -1) (+ (sqrt (- x 1)) (sqrt (- x -1)))) (/ (- x -1) (+ (sqrt (- x 1)) (sqrt (- x -1))))) (* (/ (- x 1) (+ (sqrt (- x 1)) (sqrt (- x -1)))) (/ (- x 1) (+ (sqrt (- x 1)) (sqrt (- x -1)))))) (+ (/ (- x -1) (+ (sqrt (- x 1)) (sqrt (- x -1)))) (/ (- x 1) (+ (sqrt (- x 1)) (sqrt (- x -1)))))) (+ (/ (- x -1) (+ (sqrt (- x 1)) (sqrt (- x -1)))) (/ (- x 1) (+ (sqrt (- x 1)) (sqrt (- x -1))))) (* (/ (- x 1) (+ (sqrt (- x 1)) (sqrt (- x -1)))) (/ (- x 1) (+ (sqrt (- x 1)) (sqrt (- x -1))))) (sqrt (- x -1)) (+ (sqrt (- x 1)) (sqrt (- x -1))) (* (/ (- x -1) (+ (sqrt (- x 1)) (sqrt (- x -1)))) (/ (- x -1) (+ (sqrt (- x 1)) (sqrt (- x -1)))))) |
| 16.0ms | x | @ | 0 | ((- (sqrt (+ x 1)) (sqrt (- x 1))) (/ (sqrt x) x) (sqrt x) (- (sqrt (+ x 1)) (sqrt (- x 1))) (- 1 (sqrt -1)) (sqrt -1) (- (sqrt (+ x 1)) (sqrt (- x 1))) (sqrt (+ x 1)) (sqrt (- x 1)) (- x 1) (- (- (- x -1) -1) x) (- (- x -1) -1) (/ (- (- (- x -1) -1) x) (+ (sqrt (- x 1)) (sqrt (- x -1)))) (- x -1) (- (* (/ (- x -1) (+ (sqrt (- x 1)) (sqrt (- x -1)))) (/ (- x -1) (+ (sqrt (- x 1)) (sqrt (- x -1))))) (* (/ (- x 1) (+ (sqrt (- x 1)) (sqrt (- x -1)))) (/ (- x 1) (+ (sqrt (- x 1)) (sqrt (- x -1)))))) (/ (- (* (/ (- x -1) (+ (sqrt (- x 1)) (sqrt (- x -1)))) (/ (- x -1) (+ (sqrt (- x 1)) (sqrt (- x -1))))) (* (/ (- x 1) (+ (sqrt (- x 1)) (sqrt (- x -1)))) (/ (- x 1) (+ (sqrt (- x 1)) (sqrt (- x -1)))))) (+ (/ (- x -1) (+ (sqrt (- x 1)) (sqrt (- x -1)))) (/ (- x 1) (+ (sqrt (- x 1)) (sqrt (- x -1)))))) (+ (/ (- x -1) (+ (sqrt (- x 1)) (sqrt (- x -1)))) (/ (- x 1) (+ (sqrt (- x 1)) (sqrt (- x -1))))) (* (/ (- x 1) (+ (sqrt (- x 1)) (sqrt (- x -1)))) (/ (- x 1) (+ (sqrt (- x 1)) (sqrt (- x -1))))) (sqrt (- x -1)) (+ (sqrt (- x 1)) (sqrt (- x -1))) (* (/ (- x -1) (+ (sqrt (- x 1)) (sqrt (- x -1)))) (/ (- x -1) (+ (sqrt (- x 1)) (sqrt (- x -1)))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 975 | 10700 |
| 1 | 3401 | 8308 |
| 0 | 9500 | 7932 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 1 (sqrt -1)) |
(- (+ 1 (* x (- 1/2 (* 1/2 (/ 1 (sqrt -1)))))) (sqrt -1)) |
(- (+ 1 (* x (- (+ 1/2 (* x (- (* 1/8 (/ 1 (pow (sqrt -1) 3))) 1/8))) (* 1/2 (/ 1 (sqrt -1)))))) (sqrt -1)) |
(- (+ 1 (* x (- (+ 1/2 (* x (- (+ (* 1/8 (/ 1 (pow (sqrt -1) 3))) (* x (- 1/16 (* 1/16 (/ 1 (pow (sqrt -1) 5)))))) 1/8))) (* 1/2 (/ 1 (sqrt -1)))))) (sqrt -1)) |
(sqrt (/ 1 x)) |
(sqrt x) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(sqrt -1) |
(+ (sqrt -1) (* 1/2 (/ x (sqrt -1)))) |
(+ (sqrt -1) (* x (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))) |
(+ (sqrt -1) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1)))))) |
-1 |
(- x 1) |
2 |
(+ 2 x) |
(/ 2 (+ 1 (sqrt -1))) |
(+ (* -2 (/ (* x (+ 1/2 (* 1/2 (/ 1 (sqrt -1))))) (pow (+ 1 (sqrt -1)) 2))) (* 2 (/ 1 (+ 1 (sqrt -1))))) |
(+ (* x (- (* -1 (* x (+ (* -2 (/ (+ 1/8 (* 1/8 (/ 1 (pow (sqrt -1) 3)))) (pow (+ 1 (sqrt -1)) 2))) (* -2 (/ (pow (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) 2) (pow (+ 1 (sqrt -1)) 3)))))) (* 2 (/ (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) (pow (+ 1 (sqrt -1)) 2))))) (* 2 (/ 1 (+ 1 (sqrt -1))))) |
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) (+ (* -2 (/ (+ 1/8 (* 1/8 (/ 1 (pow (sqrt -1) 3)))) (pow (+ 1 (sqrt -1)) 2))) (* -2 (/ (pow (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) 2) (pow (+ 1 (sqrt -1)) 3))))) (+ 1 (sqrt -1)))) (+ (* 2 (/ (* (+ 1/8 (* 1/8 (/ 1 (pow (sqrt -1) 3)))) (+ 1/2 (* 1/2 (/ 1 (sqrt -1))))) (pow (+ 1 (sqrt -1)) 3))) (* 2 (/ (+ 1/16 (* 1/16 (/ 1 (pow (sqrt -1) 5)))) (pow (+ 1 (sqrt -1)) 2))))))) (+ (* -2 (/ (+ 1/8 (* 1/8 (/ 1 (pow (sqrt -1) 3)))) (pow (+ 1 (sqrt -1)) 2))) (* -2 (/ (pow (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) 2) (pow (+ 1 (sqrt -1)) 3)))))) (* 2 (/ (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) (pow (+ 1 (sqrt -1)) 2))))) (* 2 (/ 1 (+ 1 (sqrt -1))))) |
(+ 1 x) |
(* 4 (/ x (pow (+ 1 (sqrt -1)) 2))) |
(* x (+ (* x (- (* -2 (/ (* (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) (+ (* 2 (/ (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) (pow (+ 1 (sqrt -1)) 3))) (* 2 (/ 1 (pow (+ 1 (sqrt -1)) 2))))) (+ 1 (sqrt -1)))) (* 2 (/ (* (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) (- (* 2 (/ 1 (pow (+ 1 (sqrt -1)) 2))) (* 2 (/ (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) (pow (+ 1 (sqrt -1)) 3))))) (+ 1 (sqrt -1)))))) (* 4 (/ 1 (pow (+ 1 (sqrt -1)) 2))))) |
(* x (+ (* x (- (+ (* -2 (/ (* (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) (+ (* 2 (/ (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) (pow (+ 1 (sqrt -1)) 3))) (* 2 (/ 1 (pow (+ 1 (sqrt -1)) 2))))) (+ 1 (sqrt -1)))) (* x (- (+ (* -1 (/ (* (+ (* -2 (* (+ 1/8 (* 1/8 (/ 1 (pow (sqrt -1) 3)))) (+ 1 (sqrt -1)))) (pow (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) 2)) (+ (* 2 (/ (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) (pow (+ 1 (sqrt -1)) 3))) (* 2 (/ 1 (pow (+ 1 (sqrt -1)) 2))))) (pow (+ 1 (sqrt -1)) 2))) (* 2 (/ (* (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) (- (/ 1 (pow (+ 1 (sqrt -1)) 2)) (+ (* -2 (/ (* (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) (+ (* 2 (/ (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) (pow (+ 1 (sqrt -1)) 3))) (* 2 (/ 1 (pow (+ 1 (sqrt -1)) 2))))) (+ 1 (sqrt -1)))) (+ (* -2 (/ (+ 1/8 (* 1/8 (/ 1 (pow (sqrt -1) 3)))) (pow (+ 1 (sqrt -1)) 3))) (/ (pow (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) 2) (pow (+ 1 (sqrt -1)) 4)))))) (+ 1 (sqrt -1))))) (+ (* 2 (/ (* (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) (- (/ 1 (pow (+ 1 (sqrt -1)) 2)) (+ (* -2 (/ (+ 1/8 (* 1/8 (/ 1 (pow (sqrt -1) 3)))) (pow (+ 1 (sqrt -1)) 3))) (+ (* 2 (/ (* (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) (- (* 2 (/ 1 (pow (+ 1 (sqrt -1)) 2))) (* 2 (/ (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) (pow (+ 1 (sqrt -1)) 3))))) (+ 1 (sqrt -1)))) (/ (pow (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) 2) (pow (+ 1 (sqrt -1)) 4)))))) (+ 1 (sqrt -1)))) (/ (* (+ (* -2 (* (+ 1/8 (* 1/8 (/ 1 (pow (sqrt -1) 3)))) (+ 1 (sqrt -1)))) (pow (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) 2)) (- (* 2 (/ 1 (pow (+ 1 (sqrt -1)) 2))) (* 2 (/ (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) (pow (+ 1 (sqrt -1)) 3))))) (pow (+ 1 (sqrt -1)) 2)))))) (* 2 (/ (* (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) (- (* 2 (/ 1 (pow (+ 1 (sqrt -1)) 2))) (* 2 (/ (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) (pow (+ 1 (sqrt -1)) 3))))) (+ 1 (sqrt -1)))))) (* 4 (/ 1 (pow (+ 1 (sqrt -1)) 2))))) |
(* x (+ (* x (- (+ (* -2 (/ (* (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) (+ (* 2 (/ (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) (pow (+ 1 (sqrt -1)) 3))) (* 2 (/ 1 (pow (+ 1 (sqrt -1)) 2))))) (+ 1 (sqrt -1)))) (* x (- (+ (* -1 (/ (* (+ (* -2 (* (+ 1/8 (* 1/8 (/ 1 (pow (sqrt -1) 3)))) (+ 1 (sqrt -1)))) (pow (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) 2)) (+ (* 2 (/ (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) (pow (+ 1 (sqrt -1)) 3))) (* 2 (/ 1 (pow (+ 1 (sqrt -1)) 2))))) (pow (+ 1 (sqrt -1)) 2))) (+ (* 2 (/ (* (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) (- (/ 1 (pow (+ 1 (sqrt -1)) 2)) (+ (* -2 (/ (* (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) (+ (* 2 (/ (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) (pow (+ 1 (sqrt -1)) 3))) (* 2 (/ 1 (pow (+ 1 (sqrt -1)) 2))))) (+ 1 (sqrt -1)))) (+ (* -2 (/ (+ 1/8 (* 1/8 (/ 1 (pow (sqrt -1) 3)))) (pow (+ 1 (sqrt -1)) 3))) (/ (pow (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) 2) (pow (+ 1 (sqrt -1)) 4)))))) (+ 1 (sqrt -1)))) (* x (- (+ (* -2 (/ (* (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) (+ (* -2 (/ (* (+ 1/8 (* 1/8 (/ 1 (pow (sqrt -1) 3)))) (+ 1/2 (* 1/2 (/ 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(/ (- (+ x (* -1/2 (* (sqrt (/ 1 x)) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x)))))) (* 1/2 (* (sqrt (/ 1 x)) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x)))))) x) |
(/ (- (+ x (+ (* -1/2 (* (sqrt (/ 1 x)) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))))) (+ (* -1/8 (/ (- (pow (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) 2) x) (pow x 2))) (* 1/2 (/ (pow (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) 2) (pow x 2)))))) (+ (* -1/2 (/ (pow (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) 2) (pow x 2))) (+ (* 1/8 (/ (- (pow (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) 2) x) (pow x 2))) (* 1/2 (* (sqrt (/ 1 x)) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x)))))))) x) |
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(/ (+ (sqrt x) (* 1/2 (/ (+ (* -1/2 (sqrt (pow x 3))) (+ (* 1/2 (sqrt (pow x 3))) (* 2 (* (sqrt (/ 1 x)) (- (* -1/2 (* (sqrt (pow x 3)) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))))) (* 1/2 (* (sqrt (pow x 3)) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x)))))))))) (pow x 2)))) x) |
(/ (+ (sqrt x) (+ (* 1/2 (/ (+ (* -1/2 (sqrt (pow x 3))) (+ (* 1/2 (sqrt (pow x 3))) (* 2 (* (sqrt (/ 1 x)) (- (* -1/2 (* (sqrt (pow x 3)) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))))) (* 1/2 (* (sqrt (pow x 3)) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x)))))))))) (pow x 2))) (* 1/2 (/ (+ (* -1/4 (sqrt (pow x 5))) (+ (* 2 (* (sqrt (/ 1 x)) (- (+ (* -1/8 (* (pow x 2) (- (pow (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) 2) x))) (* 1/2 (* (pow x 2) (pow (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) 2)))) (+ (* -1/2 (* (pow x 2) (pow (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) 2))) (* 1/8 (* (pow x 2) (- (pow (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) 2) x))))))) (* (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) (- (* -1/2 (* (sqrt (pow x 3)) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))))) (* 1/2 (* (sqrt (pow x 3)) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))))))))) (pow x 4))))) x) |
(/ (+ (sqrt x) (+ (* 1/2 (/ (+ (* -1/2 (sqrt (pow x 3))) (+ (* 1/2 (sqrt (pow x 3))) (* 2 (* (sqrt (/ 1 x)) (- (* -1/2 (* (sqrt (pow x 3)) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))))) (* 1/2 (* (sqrt (pow x 3)) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x)))))))))) (pow x 2))) (+ (* 1/2 (/ (+ (* -1/4 (sqrt (pow x 5))) (+ (* 2 (* (sqrt (/ 1 x)) (- (+ (* -1/8 (* (pow x 2) (- (pow (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) 2) x))) (* 1/2 (* (pow x 2) (pow (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) 2)))) (+ (* -1/2 (* (pow x 2) (pow (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) 2))) (* 1/8 (* (pow x 2) (- (pow (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) 2) x))))))) (* (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) (- (* -1/2 (* (sqrt (pow x 3)) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))))) (* 1/2 (* (sqrt (pow x 3)) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))))))))) (pow x 4))) (* 1/2 (/ (+ (* -1/4 (* (sqrt (pow x 3)) (- (* -1/2 (* (sqrt (pow x 3)) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))))) (* 1/2 (* (sqrt (pow x 3)) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x)))))))) (+ (* -1/16 (sqrt (pow x 7))) (+ (* 1/16 (sqrt (pow x 7))) (+ (* 2 (* (sqrt (/ 1 x)) (- (+ (* -1 (* (sqrt x) (* (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) (+ (* -1/8 (* (pow x 2) (- (pow (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) 2) x))) (* 1/2 (* (pow x 2) (pow (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) 2))))))) (+ (* -1/8 (* (pow x 2) (+ (* -1/2 (* (sqrt (pow x 3)) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))))) (* 4 (* (sqrt (/ 1 x)) (+ (* -1/16 (sqrt (pow x 5))) (* 1/16 (sqrt (pow x 5))))))))) (* 1/8 (* (sqrt (pow x 5)) (* (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) (- (pow (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) 2) x)))))) (+ (* -1 (* (sqrt x) (* (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) (+ (* -1/2 (* (pow x 2) (pow (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) 2))) (* 1/8 (* (pow x 2) (- (pow (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) 2) x))))))) (+ (* -1/8 (* (sqrt (pow x 5)) (* (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) (- (pow (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) 2) x)))) (* 1/8 (* (pow x 2) (+ (* -1/2 (* (sqrt (pow x 3)) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))))) (* 4 (* (sqrt (/ 1 x)) (+ (* -1/16 (sqrt (pow x 5))) (* 1/16 (sqrt (pow x 5)))))))))))))) (* (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) (- (+ (* -1/8 (* (pow x 2) (- (pow (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) 2) x))) (* 1/2 (* (pow x 2) (pow (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) 2)))) (+ (* -1/2 (* (pow x 2) (pow (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) 2))) (* 1/8 (* (pow x 2) (- (pow (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) 2) x)))))))))) (pow x 6)))))) x) |
(+ (sqrt x) (* -1/2 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) x))) |
(+ (sqrt x) (+ (* -2 (/ (+ (* -1/8 (* (sqrt (pow x 3)) (pow (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) 2))) (* -1/16 (sqrt (pow x 5)))) (pow x 4))) (* -1/2 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) x)))) |
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(* 1/4 x) |
(- (* 1/4 x) 1/2) |
(- (+ (* 1/4 x) (* 1/4 (/ 1 x))) (+ 1/2 (* 1/4 (* (sqrt (/ 1 x)) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))))))) |
(- (+ (* 1/4 x) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))))) (* 1/4 (/ 1 x)))) (+ 1/2 (* 1/4 (* (sqrt (/ 1 x)) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))))))) |
(* 2 (sqrt x)) |
(* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))) |
(* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))) |
(* x (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/4 (sqrt (/ 1 (pow x 5)))) (+ (* -1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))))) |
(+ 1/2 (* 1/4 x)) |
(- (+ 1/2 (+ (* 1/4 x) (* 1/4 (/ 1 x)))) (* 1/4 (* (sqrt (/ 1 x)) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x)))))) |
(- (+ 1/2 (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))))) (+ (* 1/4 x) (* 1/4 (/ 1 x))))) (* 1/4 (* (sqrt (/ 1 x)) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x)))))) |
(* -1 (/ (- (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) x)) |
(* -1 (/ (- (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2))))) x)) |
(* -1 (/ (- (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))))) x)) |
(* -1 (/ (- (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) (+ (* -1/8 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2))))))) x)) |
(* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (sqrt (/ 1 x))) |
(* -1 (/ (+ (sqrt x) (* 1/2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) (* x (pow (sqrt -1) 2))))) x)) |
(* -1 (/ (- (+ (sqrt x) (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (pow x 3)) (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) 2) (pow (sqrt -1) 2))))) (pow x 4)))) (* -1/2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) (* x (pow (sqrt -1) 2))))) x)) |
(* -1 (/ (- (+ (sqrt x) (* -1 (/ (+ (* -1/2 (* (sqrt x) (* (+ (* -1/2 (/ (* x (+ (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (pow x 3)) (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) 2) (pow (sqrt -1) 2))))) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2))))))) (+ (* -1/2 (/ (* x (+ (* 1/16 (* (sqrt (pow x 5)) (/ 1 (pow (sqrt -1) 4)))) (* 1/16 (* (sqrt (pow x 5)) (pow (sqrt -1) 2))))) (pow (sqrt -1) 2))) (* -1/4 (* (sqrt (pow x 3)) (/ (* (+ (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2))))) (pow (sqrt -1) 2)))))) (pow x 6)))) (+ (* -1/2 (/ (+ (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))) (* (pow x 3) (pow (sqrt -1) 2)))) (+ (* -1/2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) (* x (pow (sqrt -1) 2)))) (* -1/4 (* (sqrt (/ 1 (pow x 5))) (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) 2) (pow (sqrt -1) 2))))))) x)) |
(/ -1 (pow (sqrt -1) 2)) |
(* -1 (/ (- (* 1/2 (* (sqrt (/ 1 x)) (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (+ (* -1 (/ x (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 x)) (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))))) x)) |
(* -1 (/ (- (+ (* -1/2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) 2) (* (pow x 2) (pow (sqrt -1) 4)))) (+ (* 1/8 (/ (+ (* 4 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))))) (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) 2)) (* (pow x 2) (pow (sqrt -1) 4)))) (* 1/2 (* (sqrt (/ 1 x)) (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))))) (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (/ 1 x)) (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (+ (* -1/8 (/ (+ (* 4 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))))) (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) 2)) (* (pow x 2) (pow (sqrt -1) 4)))) (* 1/2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) 2) (* (pow x 2) (pow (sqrt -1) 4)))))))) x)) |
(* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (pow x 11))) (* (+ (* -1/2 (/ (* (pow x 2) (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) 2)) (pow (sqrt -1) 4))) (* 1/8 (/ (* (pow x 2) (+ (* 4 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))))) (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) 2))) (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2))))))) (+ (* -1/2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) 2) (* (pow x 2) (pow (sqrt -1) 4)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 7))) (/ (* (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) (+ (* 4 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))))) (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) 2))) (pow (sqrt -1) 4)))) (+ (* 1/8 (/ (+ (* 2 (* (+ (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))))) (* 4 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (* 1/16 (* (sqrt (pow x 5)) (/ 1 (pow (sqrt -1) 4)))) (* 1/16 (* (sqrt (pow x 5)) (pow (sqrt -1) 2)))))))) (* (pow x 4) (pow (sqrt -1) 4)))) (+ (* 1/8 (/ (+ (* 4 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))))) (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) 2)) (* (pow x 2) (pow (sqrt -1) 4)))) (* 1/2 (* (sqrt (/ 1 x)) (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))))))) (+ (* -1 (* (sqrt (/ 1 (pow x 11))) (* (+ (* -1/8 (/ (* (pow x 2) (+ (* 4 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))))) (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) 2))) (pow (sqrt -1) 4))) (* 1/2 (/ (* (pow x 2) (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) 2)) (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2))))))) (+ (* -1 (/ x (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (/ 1 x)) (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (+ (* -1/8 (/ (+ (* 2 (* (+ (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))))) (* 4 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (* 1/16 (* (sqrt (pow x 5)) (/ 1 (pow (sqrt -1) 4)))) (* 1/16 (* (sqrt (pow x 5)) (pow (sqrt -1) 2)))))))) (* (pow x 4) (pow (sqrt -1) 4)))) (+ (* -1/8 (/ (+ (* 4 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))))) (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) 2)) (* (pow x 2) (pow (sqrt -1) 4)))) (+ (* 1/8 (* (sqrt (/ 1 (pow x 7))) (/ (* (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) (+ (* 4 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (+ (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))))) (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) 2))) (pow (sqrt -1) 4)))) (* 1/2 (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) 2) (* (pow x 2) (pow (sqrt -1) 4))))))))))) x)) |
(/ -1 (* (pow (sqrt -1) 2) (- (* -1/2 (sqrt x)) (* 1/2 (sqrt x))))) |
(* -1 (/ (- (+ (* -1/2 (* (sqrt x) (/ 1 (* (pow (sqrt -1) 2) (pow (- (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) 2))))) (* 1/2 (* (sqrt x) (/ 1 (* (pow (sqrt -1) 2) (pow (- (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) 2)))))) (* -1 (/ x (* (pow (sqrt -1) 2) (- (* -1/2 (sqrt x)) (* 1/2 (sqrt x))))))) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (* (sqrt (pow x 3)) (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) (* (pow (sqrt -1) 2) (- (* -1/2 (sqrt x)) (* 1/2 (sqrt x))))))) (+ (* -1 (/ (* x (pow (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) 2)) (* (pow (sqrt -1) 2) (pow (- (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) 3)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) (* (pow (sqrt -1) 2) (- (* -1/2 (sqrt x)) (* 1/2 (sqrt x))))))) (* -1/2 (/ (* (pow x 2) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2))))) (* (pow (sqrt -1) 4) (pow (- (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) 2))))))) x)) (/ (* x (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x)))) (* (pow (sqrt -1) 2) (pow (- (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) 2)))) x)) (* -1 (/ x (* (pow (sqrt -1) 2) (- (* -1/2 (sqrt x)) (* 1/2 (sqrt x))))))) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (* (sqrt (pow x 3)) (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) (* (pow (sqrt -1) 2) (- (* -1/2 (sqrt x)) (* 1/2 (sqrt x))))))) (+ (* 1/2 (/ (* x (* (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))))) (* (pow (sqrt -1) 4) (pow (- (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) 3)))) (/ (* (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) (- (* 1/2 (* (sqrt (pow x 3)) (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) (* (pow (sqrt -1) 2) (- (* -1/2 (sqrt x)) (* 1/2 (sqrt x))))))) (+ (* -1 (/ (* x (pow (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) 2)) (* (pow (sqrt -1) 2) (pow (- (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) 3)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) (* (pow (sqrt -1) 2) (- (* -1/2 (sqrt x)) (* 1/2 (sqrt x))))))) (* -1/2 (/ (* (pow x 2) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2))))) (* (pow (sqrt -1) 4) (pow (- (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) 2)))))))) (* x (- (* -1/2 (sqrt x)) (* 1/2 (sqrt x))))))) (+ (* -1 (/ (* x (pow (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) 2)) (* (pow (sqrt -1) 2) (pow (- (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) 3)))) (+ (* -1/2 (* (sqrt (pow x 3)) (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) (* (pow (sqrt -1) 2) (- (* -1/2 (sqrt x)) (* 1/2 (sqrt x))))))) (* -1/2 (/ (* (pow x 2) (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2))))) (* (pow (sqrt -1) 4) (pow (- (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) 2))))))) x)) (/ (* x (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x)))) (* (pow (sqrt -1) 2) (pow (- (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) 2)))) x)) (* -1 (/ x (* (pow (sqrt -1) 2) (- (* -1/2 (sqrt x)) (* 1/2 (sqrt x))))))) x)) |
(- (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) |
(- (+ (* -1 (/ (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x))) x)) (* -1/2 (sqrt x))) (* 1/2 (sqrt x))) |
(- (+ (* -1 (/ (+ (* -1/2 (sqrt x)) (+ (* 1/2 (sqrt x)) (* 1/2 (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) x)) (* -1/2 (sqrt x))) (* 1/2 (sqrt x))) |
(- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* x (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2))))) (pow (sqrt -1) 2))) (+ (* -1/2 (/ (+ (* -1/8 (* (sqrt (pow x 3)) (/ 1 (pow (sqrt -1) 2)))) (* -1/8 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))) (* x (pow (sqrt -1) 2)))) (* -1/4 (* (sqrt (/ 1 x)) (/ (pow (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) 2) (pow (sqrt -1) 2)))))) x)) (+ (* -1/2 (sqrt x)) (* 1/2 (sqrt x)))) x)) (* -1/2 (sqrt x))) (* 1/2 (sqrt x))) |
(* -1/4 (/ x (pow (sqrt -1) 2))) |
(+ (* -1/4 (/ x (pow (sqrt -1) 2))) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (+ (* -1 (/ (- (* -1/4 (/ x (pow (sqrt -1) 2))) (* 1/4 (* (sqrt (pow x 3)) (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) x)) (* -1/2 (/ x (pow (sqrt -1) 2)))) x)) (* -1/4 (/ x (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1/4 (/ x (pow (sqrt -1) 2))) (* 1/2 (* (sqrt x) (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* 1/4 (* (sqrt (pow x 3)) (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) x)) (* -1/2 (/ x (pow (sqrt -1) 2)))) x)) (* -1/4 (/ x (pow (sqrt -1) 2)))) |
(* -2 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))))) |
(- (* -1/4 (/ x (pow (sqrt -1) 2))) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (- (* -1 (/ (- (* -1/4 (/ x (pow (sqrt -1) 2))) (* 1/4 (* (sqrt (pow x 3)) (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) x)) (* -1/2 (/ x (pow (sqrt -1) 2)))) x)) (* -1/4 (/ x (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt x) (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/4 (/ x (pow (sqrt -1) 2)))) (* 1/4 (* (sqrt (pow x 3)) (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) x)) (* -1/2 (/ x (pow (sqrt -1) 2)))) x)) (* -1/4 (/ x (pow (sqrt -1) 2)))) |
| Outputs |
|---|
(- 1 (sqrt -1)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) |
(- (+ 1 (* x (- 1/2 (* 1/2 (/ 1 (sqrt -1)))))) (sqrt -1)) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) x (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) |
(- (+ 1 (* x (- (+ 1/2 (* x (- (* 1/8 (/ 1 (pow (sqrt -1) 3))) 1/8))) (* 1/2 (/ 1 (sqrt -1)))))) (sqrt -1)) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))))) x (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) |
(- (+ 1 (* x (- (+ 1/2 (* x (- (+ (* 1/8 (/ 1 (pow (sqrt -1) 3))) (* x (- 1/16 (* 1/16 (/ 1 (pow (sqrt -1) 5)))))) 1/8))) (* 1/2 (/ 1 (sqrt -1)))))) (sqrt -1)) |
(fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) x (/.f64 #s(literal 1/8 binary64) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) #s(literal 1/8 binary64)) x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))))) x (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(sqrt x) |
(sqrt.f64 x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 x)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(sqrt -1) |
(sqrt.f64 #s(literal -1 binary64)) |
(+ (sqrt -1) (* 1/2 (/ x (sqrt -1)))) |
(fma.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) |
(+ (sqrt -1) (* x (+ (* -1/8 (/ x (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))) |
(fma.f64 (fma.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) x (sqrt.f64 #s(literal -1 binary64))) |
(+ (sqrt -1) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1)))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) x (sqrt.f64 #s(literal -1 binary64))) |
-1 |
#s(literal -1 binary64) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
2 |
#s(literal 2 binary64) |
(+ 2 x) |
(+.f64 #s(literal 2 binary64) x) |
(/ 2 (+ 1 (sqrt -1))) |
(/.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64))) |
(+ (* -2 (/ (* x (+ 1/2 (* 1/2 (/ 1 (sqrt -1))))) (pow (+ 1 (sqrt -1)) 2))) (* 2 (/ 1 (+ 1 (sqrt -1))))) |
(fma.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) x) (pow.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(+ (* x (- (* -1 (* x (+ (* -2 (/ (+ 1/8 (* 1/8 (/ 1 (pow (sqrt -1) 3)))) (pow (+ 1 (sqrt -1)) 2))) (* -2 (/ (pow (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) 2) (pow (+ 1 (sqrt -1)) 3)))))) (* 2 (/ (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) (pow (+ 1 (sqrt -1)) 2))))) (* 2 (/ 1 (+ 1 (sqrt -1))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/8 binary64)) (pow.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))))) x (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64))) x (/.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) (+ (* -2 (/ (+ 1/8 (* 1/8 (/ 1 (pow (sqrt -1) 3)))) (pow (+ 1 (sqrt -1)) 2))) (* -2 (/ (pow (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) 2) (pow (+ 1 (sqrt -1)) 3))))) (+ 1 (sqrt -1)))) (+ (* 2 (/ (* (+ 1/8 (* 1/8 (/ 1 (pow (sqrt -1) 3)))) (+ 1/2 (* 1/2 (/ 1 (sqrt -1))))) (pow (+ 1 (sqrt -1)) 3))) (* 2 (/ (+ 1/16 (* 1/16 (/ 1 (pow (sqrt -1) 5)))) (pow (+ 1 (sqrt -1)) 2))))))) (+ (* -2 (/ (+ 1/8 (* 1/8 (/ 1 (pow (sqrt -1) 3)))) (pow (+ 1 (sqrt -1)) 2))) (* -2 (/ (pow (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) 2) (pow (+ 1 (sqrt -1)) 3)))))) (* 2 (/ (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) (pow (+ 1 (sqrt -1)) 2))))) (* 2 (/ 1 (+ 1 (sqrt -1))))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (fma.f64 #s(literal 2 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/8 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) (pow.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/8 binary64)) (pow.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/8 binary64)) (pow.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)))))) x (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64))) x (/.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(* 4 (/ x (pow (+ 1 (sqrt -1)) 2))) |
(*.f64 (/.f64 x (pow.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64)) |
(* x (+ (* x (- (* -2 (/ (* (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) (+ (* 2 (/ (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) (pow (+ 1 (sqrt -1)) 3))) (* 2 (/ 1 (pow (+ 1 (sqrt -1)) 2))))) (+ 1 (sqrt -1)))) (* 2 (/ (* (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) (- (* 2 (/ 1 (pow (+ 1 (sqrt -1)) 2))) (* 2 (/ (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) (pow (+ 1 (sqrt -1)) 3))))) (+ 1 (sqrt -1)))))) (* 4 (/ 1 (pow (+ 1 (sqrt -1)) 2))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) (pow.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64))))) x (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) x) |
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(*.f64 #s(literal 2 binary64) (sqrt.f64 x)) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64)) #s(literal -2 binary64) (fma.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow (sqrt -1) 2))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))))))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64)) #s(literal -2 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))))) |
(- (* -1/4 (/ x (pow (sqrt -1) 2))) (* 1/2 (/ 1 (pow (sqrt -1) 2)))) |
(fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) |
(+ (* -1 (/ (- (* -1 (/ (- (* -1/4 (/ x (pow (sqrt -1) 2))) (* 1/4 (* (sqrt (pow x 3)) (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) x)) (* -1/2 (/ x (pow (sqrt -1) 2)))) x)) (* -1/4 (/ x (pow (sqrt -1) 2)))) |
(fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/4 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/4 binary64) (*.f64 #s(literal 0 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) x) #s(literal -1 binary64) (*.f64 (/.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (neg.f64 x))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt x) (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* -1/4 (/ x (pow (sqrt -1) 2)))) (* 1/4 (* (sqrt (pow x 3)) (/ (+ (* 1/2 (sqrt x)) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) x)) (* -1/2 (/ x (pow (sqrt -1) 2)))) x)) (* -1/4 (/ x (pow (sqrt -1) 2)))) |
(fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/4 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1/4 binary64) (*.f64 #s(literal 0 binary64) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) x) #s(literal -1 binary64) (*.f64 (/.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (neg.f64 x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 328 |
| 0 | 51 | 250 |
| 0 | 257 | 250 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (sqrt (+ x 1)) (sqrt (- x 1))) (/.f64 (sqrt.f64 x) x)) |
(/.f64 (sqrt.f64 x) x) |
(sqrt.f64 x) |
#s(approx (- (sqrt (+ x 1)) (sqrt (- x 1))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) |
(sqrt.f64 #s(literal -1 binary64)) |
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) |
(sqrt.f64 (-.f64 x #s(literal 1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
(-.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x) |
(-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) |
(-.f64 x #s(literal -1 binary64)) |
(-.f64 (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))) (+.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))) |
(+.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) |
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) |
(sqrt.f64 (-.f64 x #s(literal -1 binary64))) |
(+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) |
| Outputs |
|---|
#s(approx (- (sqrt (+ x 1)) (sqrt (- x 1))) (/.f64 (sqrt.f64 x) x)) |
(*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 x)) |
(/.f64 (sqrt.f64 x) x) |
(/.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 x))) |
(pow.f64 x #s(literal 1/2 binary64)) |
(sqrt.f64 x) |
#s(approx (- (sqrt (+ x 1)) (sqrt (- x 1))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) |
(pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) |
(sqrt.f64 #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64))) (*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) (+.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (*.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))) |
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
(+.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) |
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) |
(pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(sqrt.f64 (-.f64 x #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64))))) |
(-.f64 x #s(literal 1 binary64)) |
(+.f64 x #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) (-.f64 x #s(literal -2 binary64))) (*.f64 x x)) (+.f64 (-.f64 x #s(literal -2 binary64)) x)) |
(/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 x #s(literal -2 binary64)) (-.f64 x #s(literal -2 binary64)) (fma.f64 x x (*.f64 (-.f64 x #s(literal -2 binary64)) x)))) |
(-.f64 (-.f64 x #s(literal -2 binary64)) x) |
(-.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) x)) |
(+.f64 (-.f64 x #s(literal -2 binary64)) (neg.f64 x)) |
(/.f64 (-.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (+.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))) |
(-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) |
(-.f64 x #s(literal -2 binary64)) |
(+.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 (-.f64 (-.f64 x #s(literal -2 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (-.f64 x #s(literal -2 binary64)) x)) (neg.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (-.f64 x #s(literal -2 binary64)) x) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (-.f64 (-.f64 x #s(literal -2 binary64)) x))) |
(-.f64 (/.f64 (-.f64 x #s(literal -2 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) (/.f64 x (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64))))) |
(-.f64 x #s(literal -1 binary64)) |
(+.f64 #s(literal 1 binary64) x) |
(+.f64 x #s(literal 1 binary64)) |
(*.f64 (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))) (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64))) (*.f64 (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)))) (+.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) (*.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)))))) |
(fma.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) (*.f64 (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))) |
(fma.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) (neg.f64 (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)))) |
(-.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64))) |
(+.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) (*.f64 (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))) |
(+.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) (neg.f64 (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)))) |
(*.f64 (-.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64))) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))) (-.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))) (/.f64 (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))))) |
(/.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (*.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)))) (*.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64))) (-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))) |
(+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))) |
(+.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))) |
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))) |
(pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) |
(/.f64 (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) (-.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) |
(/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))) |
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(sqrt.f64 (-.f64 x #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (-.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) |
(/.f64 (+.f64 (pow.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (-.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))) |
(+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
(+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))) |
(pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) |
(/.f64 (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) (-.f64 x #s(literal -1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) |
(/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))) |
Compiled 46 484 to 1 973 computations (95.8% saved)
7 alts after pruning (3 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 525 | 3 | 528 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 527 | 7 | 534 |
| Status | Accuracy | Program |
|---|---|---|
| 99.6% | (/.f64 #s(approx (- (- (- x -1) -1) x) #s(literal 2 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) | |
| ✓ | 5.8% | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
| ✓ | 1.6% | (-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
| ✓ | 98.9% | #s(approx (- (sqrt (+ x 1)) (sqrt (- x 1))) (/.f64 (sqrt.f64 x) x)) |
| 98.7% | #s(approx (- (sqrt (+ x 1)) (sqrt (- x 1))) (/.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 x)))) | |
| ✓ | 0.0% | #s(approx (- (sqrt (+ x 1)) (sqrt (- x 1))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) |
| 99.1% | #s(approx (- (sqrt (+ x 1)) (sqrt (- x 1))) #s(approx (/ (sqrt x) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
Compiled 304 to 130 computations (57.2% saved)
| Inputs |
|---|
#s(approx (- (sqrt (+ x 1)) (sqrt (- x 1))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) |
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt (- x 1))) #s(approx (/ (sqrt x) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt (- x 1))) (/.f64 (sqrt.f64 x) x)) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt (- x 1))) (/.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 x)))) |
(/.f64 #s(approx (- (- (- x -1) -1) x) #s(literal 2 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) |
(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))) (+.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))) |
| Outputs |
|---|
(/.f64 #s(approx (- (- (- x -1) -1) x) #s(literal 2 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) |
2 calls:
| 2.0ms | x |
| 2.0ms | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | x |
| 99.6% | 1 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
#s(approx (- (sqrt (+ x 1)) (sqrt (- x 1))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) |
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt (- x 1))) #s(approx (/ (sqrt x) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt (- x 1))) (/.f64 (sqrt.f64 x) x)) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt (- x 1))) (/.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 x)))) |
| Outputs |
|---|
#s(approx (- (sqrt (+ x 1)) (sqrt (- x 1))) #s(approx (/ (sqrt x) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
2 calls:
| 2.0ms | x |
| 2.0ms | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 1 | x |
| 99.1% | 1 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
#s(approx (- (sqrt (+ x 1)) (sqrt (- x 1))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) |
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
| Outputs |
|---|
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
2 calls:
| 1.0ms | x |
| 1.0ms | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 1.6% | 1 | x |
| 1.6% | 1 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
Compiled 10 to 8 computations (20% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (- (sqrt (+ x 1)) (sqrt (- x 1))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) |
| Outputs |
|---|
#s(approx (- (sqrt (+ x 1)) (sqrt (- x 1))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) |
2 calls:
| 1.0ms | x |
| 1.0ms | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 0.0% | 1 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
| 0.0% | 1 | x |
Compiled 10 to 8 computations (20% saved)
| 1× | egg-herbie |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 63 |
| 1 | 55 | 63 |
| 2 | 106 | 63 |
| 3 | 223 | 62 |
| 4 | 459 | 57 |
| 5 | 886 | 57 |
| 6 | 2023 | 57 |
| 7 | 4356 | 57 |
| 8 | 7983 | 57 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 #s(approx (- (- (- x -1) -1) x) #s(literal 2 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) |
#s(approx (- (sqrt (+ x 1)) (sqrt (- x 1))) #s(approx (/ (sqrt x) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt (- x 1))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) |
| Outputs |
|---|
(/.f64 #s(approx (- (- (- x -1) -1) x) #s(literal 2 binary64)) (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) |
#s(approx (- (sqrt (+ x 1)) (sqrt (- x 1))) #s(approx (/ (sqrt x) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt (- x 1))) #s(approx (/ (sqrt x) x) (sqrt.f64 (pow.f64 x #s(literal -1 binary64))))) |
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt (- x 1))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 975 | 10700 |
| 1 | 3401 | 8308 |
| 0 | 9500 | 7932 |
| 0 | 7 | 20 |
| 0 | 12 | 20 |
| 1 | 52 | 20 |
| 2 | 365 | 20 |
| 3 | 5539 | 20 |
| 0 | 8169 | 20 |
| 0 | 216 | 853 |
| 1 | 648 | 717 |
| 2 | 2239 | 678 |
| 0 | 8297 | 621 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 97 to 63 computations (35.1% saved)
Compiled 144 to 78 computations (45.8% saved)
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