pow(4,x)
Time bar (total: 940.0ms)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 0 |
| 100% | 0% | 0% | 100% | 0% | 0% | 0% | 1 |
Compiled 11 to 8 computations (27.3% saved)
| 282.0ms | 8 256× | 0 | valid |
ival-pow: 81.0ms (55.4% of total)ival-<=: 42.0ms (28.7% of total)ival-and: 11.0ms (7.5% of total)exact: 10.0ms (6.8% of total)ival-assert: 3.0ms (2.1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | #s(literal 4 binary64) |
| 0 | 0 | - | 0 | - | (pow.f64 #s(literal 4 binary64) x) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 15.0ms | 512× | 0 | valid |
Compiled 18 to 13 computations (27.8% saved)
ival-pow: 5.0ms (90.9% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 12× | sub-neg |
| 8× | +-commutative |
| 4× | *-commutative |
| 4× | associate--r+ |
| 4× | --rgt-identity |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 9 |
| 1 | 11 | 9 |
| 2 | 15 | 9 |
| 3 | 18 | 9 |
| 4 | 22 | 9 |
| 5 | 29 | 9 |
| 6 | 36 | 9 |
| 0 | 3 | 3 |
| 0 | 4 | 3 |
| 0 | 4 | 3 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(pow.f64 #s(literal 4 binary64) x) |
| Outputs |
|---|
(pow.f64 #s(literal 4 binary64) x) |
Compiled 4 to 3 computations (25% saved)
Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (pow.f64 #s(literal 4 binary64) x) |
Compiled 4 to 3 computations (25% saved)
| 1× | egg-herbie |
Found 1 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 #s(literal 4 binary64) x) |
| 2× | lift-pow.f64 |
| 2× | lower-pow.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 3 | 5 |
| 0 | 4 | 5 |
| 0 | 4 | 5 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(pow.f64 #s(literal 4 binary64) x) |
#s(literal 4 binary64) |
x |
| Outputs |
|---|
(pow.f64 #s(literal 4 binary64) x) |
#s(literal 4 binary64) |
x |
Found 1 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (pow.f64 #s(literal 4 binary64) x) |
| 9.0ms | 256× | 0 | valid |
Compiled 7 to 5 computations (28.6% saved)
ival-pow: 2.0ms (70% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (pow.f64 #s(literal 4 binary64) x)> |
| Outputs |
|---|
#<alt 1> |
#<alt (+ 1 (* x (log 4)))> |
#<alt (+ 1 (* x (+ (log 4) (* 1/2 (* x (pow (log 4) 2))))))> |
#<alt (+ 1 (* x (+ (log 4) (* x (+ (* 1/6 (* x (pow (log 4) 3))) (* 1/2 (pow (log 4) 2)))))))> |
#<alt (pow 4 x)> |
#<alt (pow 4 x)> |
#<alt (pow 4 x)> |
#<alt (pow 4 x)> |
#<alt (pow 4 x)> |
#<alt (pow 4 x)> |
#<alt (pow 4 x)> |
#<alt (pow 4 x)> |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (pow 4 x) |
| 0.0ms | x | @ | -inf | (pow 4 x) |
| 0.0ms | x | @ | inf | (pow 4 x) |
| 1× | egg-herbie |
| 1 908× | lower-fma.f64 |
| 1 908× | lower-fma.f32 |
| 1 014× | lower-*.f64 |
| 1 014× | lower-*.f32 |
| 928× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 70 |
| 1 | 66 | 70 |
| 2 | 164 | 68 |
| 3 | 336 | 68 |
| 4 | 701 | 68 |
| 5 | 1101 | 68 |
| 6 | 1152 | 68 |
| 7 | 1163 | 68 |
| 8 | 1168 | 68 |
| 9 | 1169 | 68 |
| 10 | 1169 | 68 |
| 11 | 1407 | 68 |
| 12 | 1416 | 68 |
| 13 | 1429 | 68 |
| 14 | 1429 | 68 |
| 0 | 1429 | 62 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
1 |
(+ 1 (* x (log 4))) |
(+ 1 (* x (+ (log 4) (* 1/2 (* x (pow (log 4) 2)))))) |
(+ 1 (* x (+ (log 4) (* x (+ (* 1/6 (* x (pow (log 4) 3))) (* 1/2 (pow (log 4) 2))))))) |
(pow 4 x) |
(pow 4 x) |
(pow 4 x) |
(pow 4 x) |
(pow 4 x) |
(pow 4 x) |
(pow 4 x) |
(pow 4 x) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* x (log 4))) |
(fma.f64 x (log.f64 #s(literal 4 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ (log 4) (* 1/2 (* x (pow (log 4) 2)))))) |
(fma.f64 (log.f64 #s(literal 4 binary64)) (fma.f64 x (*.f64 (*.f64 x (log.f64 #s(literal 4 binary64))) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) |
(+ 1 (* x (+ (log 4) (* x (+ (* 1/6 (* x (pow (log 4) 3))) (* 1/2 (pow (log 4) 2))))))) |
(fma.f64 (log.f64 #s(literal 4 binary64)) (fma.f64 (fma.f64 (*.f64 x (log.f64 #s(literal 4 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (log.f64 #s(literal 4 binary64)))) x) #s(literal 1 binary64)) |
(pow 4 x) |
(pow.f64 #s(literal 4 binary64) x) |
(pow 4 x) |
(pow.f64 #s(literal 4 binary64) x) |
(pow 4 x) |
(pow.f64 #s(literal 4 binary64) x) |
(pow 4 x) |
(pow.f64 #s(literal 4 binary64) x) |
(pow 4 x) |
(pow.f64 #s(literal 4 binary64) x) |
(pow 4 x) |
(pow.f64 #s(literal 4 binary64) x) |
(pow 4 x) |
(pow.f64 #s(literal 4 binary64) x) |
(pow 4 x) |
(pow.f64 #s(literal 4 binary64) x) |
| 426× | lower-fma.f64 |
| 426× | lower-fma.f32 |
| 292× | lower-/.f64 |
| 292× | lower-/.f32 |
| 272× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 3 | 3 |
| 0 | 4 | 3 |
| 1 | 11 | 3 |
| 2 | 37 | 3 |
| 3 | 195 | 3 |
| 0 | 2060 | 3 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(pow.f64 #s(literal 4 binary64) x) |
| Outputs |
|---|
(exp.f64 (*.f64 x (log.f64 #s(literal 4 binary64)))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) (log.f64 #s(literal 4 binary64)))) |
(sqrt.f64 (pow.f64 #s(literal 4 binary64) x)) |
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 16 binary64) (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) (pow.f64 #s(literal 4 binary64) (neg.f64 x))) |
(pow.f64 #s(literal 4 binary64) x) |
(pow.f64 #s(literal 16 binary64) x) |
(pow.f64 (exp.f64 x) (log.f64 #s(literal 4 binary64))) |
(pow.f64 (exp.f64 x) (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/2 binary64))) |
(pow.f64 (pow.f64 #s(literal 4 binary64) x) #s(literal 4 binary64)) |
(pow.f64 (pow.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 #s(literal 4 binary64) x) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 #s(literal 4 binary64) x) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 #s(literal 4 binary64) x) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/2 binary64)) x) |
(pow.f64 (pow.f64 #s(literal 16 binary64) (neg.f64 x)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/2 binary64)) x) |
(pow.f64 (pow.f64 #s(literal 4 binary64) (neg.f64 x)) #s(literal -1/2 binary64)) |
(pow.f64 #s(literal 64 binary64) x) |
(pow.f64 #s(literal 256 binary64) x) |
(pow.f64 (exp.f64 (log.f64 #s(literal 16 binary64))) x) |
(*.f64 (pow.f64 #s(literal 4 binary64) x) (pow.f64 #s(literal 4 binary64) x)) |
(*.f64 (pow.f64 (exp.f64 x) (/.f64 (log.f64 #s(literal 4 binary64)) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) (/.f64 (log.f64 #s(literal 4 binary64)) #s(literal 2 binary64)))) |
Compiled 206 to 59 computations (71.4% saved)
2 alts after pruning (1 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 35 | 1 | 36 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 35 | 2 | 37 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (pow.f64 #s(literal 4 binary64) x) |
| ▶ | 3.1% | #s(approx (pow 4 x) #s(literal 1 binary64)) |
Compiled 7 to 5 computations (28.6% saved)
| 1× | egg-herbie |
Found 1 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (pow 4 x) #s(literal 1 binary64)) |
| 2× | lower-pow.f64 |
| 2× | 1-exp |
| 2× | lower-pow.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 6 |
| 0 | 5 | 6 |
| 1 | 7 | 6 |
| 0 | 7 | 6 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
#s(approx (pow 4 x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (pow 4 x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
Found 1 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 61.99859042974503 | #s(approx (pow 4 x) #s(literal 1 binary64)) |
| 7.0ms | 256× | 0 | valid |
Compiled 6 to 6 computations (0% saved)
ival-pow: 2.0ms (73.1% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt #s(approx (pow 4 x) #s(literal 1 binary64))> |
| Outputs |
|---|
#<alt 1> |
#<alt (+ 1 (* x (log 4)))> |
#<alt (+ 1 (* x (+ (log 4) (* 1/2 (* x (pow (log 4) 2))))))> |
#<alt (+ 1 (* x (+ (log 4) (* x (+ (* 1/6 (* x (pow (log 4) 3))) (* 1/2 (pow (log 4) 2)))))))> |
#<alt (pow 4 x)> |
#<alt (pow 4 x)> |
#<alt (pow 4 x)> |
#<alt (pow 4 x)> |
#<alt (pow 4 x)> |
#<alt (pow 4 x)> |
#<alt (pow 4 x)> |
#<alt (pow 4 x)> |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (pow 4 x) |
| 0.0ms | x | @ | inf | (pow 4 x) |
| 0.0ms | x | @ | -inf | (pow 4 x) |
| 1× | egg-herbie |
| 1 908× | lower-fma.f64 |
| 1 908× | lower-fma.f32 |
| 1 014× | lower-*.f64 |
| 1 014× | lower-*.f32 |
| 928× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 70 |
| 1 | 66 | 70 |
| 2 | 164 | 68 |
| 3 | 336 | 68 |
| 4 | 701 | 68 |
| 5 | 1101 | 68 |
| 6 | 1152 | 68 |
| 7 | 1163 | 68 |
| 8 | 1168 | 68 |
| 9 | 1169 | 68 |
| 10 | 1169 | 68 |
| 11 | 1407 | 68 |
| 12 | 1416 | 68 |
| 13 | 1429 | 68 |
| 14 | 1429 | 68 |
| 0 | 1429 | 62 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
1 |
(+ 1 (* x (log 4))) |
(+ 1 (* x (+ (log 4) (* 1/2 (* x (pow (log 4) 2)))))) |
(+ 1 (* x (+ (log 4) (* x (+ (* 1/6 (* x (pow (log 4) 3))) (* 1/2 (pow (log 4) 2))))))) |
(pow 4 x) |
(pow 4 x) |
(pow 4 x) |
(pow 4 x) |
(pow 4 x) |
(pow 4 x) |
(pow 4 x) |
(pow 4 x) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* x (log 4))) |
(fma.f64 x (log.f64 #s(literal 4 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ (log 4) (* 1/2 (* x (pow (log 4) 2)))))) |
(fma.f64 (log.f64 #s(literal 4 binary64)) (fma.f64 x (*.f64 (*.f64 x (log.f64 #s(literal 4 binary64))) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) |
(+ 1 (* x (+ (log 4) (* x (+ (* 1/6 (* x (pow (log 4) 3))) (* 1/2 (pow (log 4) 2))))))) |
(fma.f64 (log.f64 #s(literal 4 binary64)) (fma.f64 (fma.f64 (*.f64 x (log.f64 #s(literal 4 binary64))) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x (*.f64 x (log.f64 #s(literal 4 binary64)))) x) #s(literal 1 binary64)) |
(pow 4 x) |
(pow.f64 #s(literal 4 binary64) x) |
(pow 4 x) |
(pow.f64 #s(literal 4 binary64) x) |
(pow 4 x) |
(pow.f64 #s(literal 4 binary64) x) |
(pow 4 x) |
(pow.f64 #s(literal 4 binary64) x) |
(pow 4 x) |
(pow.f64 #s(literal 4 binary64) x) |
(pow 4 x) |
(pow.f64 #s(literal 4 binary64) x) |
(pow 4 x) |
(pow.f64 #s(literal 4 binary64) x) |
(pow 4 x) |
(pow.f64 #s(literal 4 binary64) x) |
| 426× | lower-fma.f64 |
| 426× | lower-fma.f32 |
| 292× | lower-/.f64 |
| 292× | lower-/.f32 |
| 272× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 5 |
| 0 | 5 | 5 |
| 1 | 14 | 5 |
| 2 | 39 | 5 |
| 3 | 195 | 5 |
| 0 | 2059 | 5 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | saturated |
| Inputs |
|---|
#s(approx (pow 4 x) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (pow 4 x) #s(literal 1 binary64)) |
Compiled 77 to 16 computations (79.2% saved)
2 alts after pruning (0 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 13 | 0 | 13 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 1 | 1 |
| Total | 13 | 2 | 15 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (pow.f64 #s(literal 4 binary64) x) |
| ✓ | 3.1% | #s(approx (pow 4 x) #s(literal 1 binary64)) |
Compiled 13 to 9 computations (30.8% saved)
| Inputs |
|---|
#s(approx (pow 4 x) #s(literal 1 binary64)) |
(pow.f64 #s(literal 4 binary64) x) |
| Outputs |
|---|
(pow.f64 #s(literal 4 binary64) x) |
2 calls:
| 1.0ms | (pow.f64 #s(literal 4 binary64) x) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (pow.f64 #s(literal 4 binary64) x) |
Compiled 6 to 4 computations (33.3% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (pow 4 x) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (pow 4 x) #s(literal 1 binary64)) |
2 calls:
| 1.0ms | (pow.f64 #s(literal 4 binary64) x) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 3.1% | 1 | x |
| 3.1% | 1 | (pow.f64 #s(literal 4 binary64) x) |
Compiled 6 to 4 computations (33.3% saved)
| 1× | egg-herbie |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 8 |
| 1 | 9 | 8 |
| 1× | saturated |
| Inputs |
|---|
(pow.f64 #s(literal 4 binary64) x) |
#s(approx (pow 4 x) #s(literal 1 binary64)) |
| Outputs |
|---|
(pow.f64 #s(literal 4 binary64) x) |
#s(approx (pow 4 x) #s(literal 1 binary64)) |
| 1 908× | lower-fma.f64 |
| 1 908× | lower-fma.f32 |
| 1 014× | lower-*.f64 |
| 1 014× | lower-*.f32 |
| 928× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 70 |
| 1 | 66 | 70 |
| 2 | 164 | 68 |
| 3 | 336 | 68 |
| 4 | 701 | 68 |
| 5 | 1101 | 68 |
| 6 | 1152 | 68 |
| 7 | 1163 | 68 |
| 8 | 1168 | 68 |
| 9 | 1169 | 68 |
| 10 | 1169 | 68 |
| 11 | 1407 | 68 |
| 12 | 1416 | 68 |
| 13 | 1429 | 68 |
| 14 | 1429 | 68 |
| 0 | 1429 | 62 |
| 1× | done |
| 1× | iter limit |
| 1× | saturated |
Compiled 8 to 6 computations (25% saved)
Compiled 20 to 14 computations (30% saved)
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