sqrt(1-x^2) - sqrt(1+x^2)

Time bar (total: 6.8s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50%50%0%0%0%0
100%50%0%50%0%0%0%1
Compiler

Compiled 21 to 13 computations (38.1% saved)

sample2.8s (41.7%)

Memory
126.1MiB live, 1 376.4MiB allocated
Samples
1.6s5 750×2valid
530.0ms2 364×1valid
10.0ms142×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.7s
ival-sqrt: 512.0ms (29.6% of total)
adjust: 391.0ms (22.6% of total)
ival-sub: 324.0ms (18.7% of total)
ival-pow2: 247.0ms (14.3% of total)
ival-add: 114.0ms (6.6% of total)
ival-<=: 108.0ms (6.2% of total)
ival-and: 15.0ms (0.9% of total)
exact: 12.0ms (0.7% of total)
ival-assert: 8.0ms (0.5% of total)
Bogosity

explain350.0ms (5.2%)

Memory
86.6MiB live, 235.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1322(-4.066071463469805e-162)0-(-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
00-0-(pow.f64 x #s(literal 2 binary64))
00-0-#s(literal 1 binary64)
00-0-(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
00-0-(+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
00-0-(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
00-0-(sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
00-0-#s(literal 2 binary64)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))cancellation1340
Confusion
Predicted +Predicted -
+1320
-2122
Precision
0.9850746268656716
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+13200
-20122
Precision?
0.9850746268656716
Recall?
1.0
Freqs
test
numberfreq
0122
1134
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
130.0ms156×1valid
127.0ms344×2valid
1.0ms12×0valid
Compiler

Compiled 99 to 31 computations (68.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 177.0ms
ival-pow2: 73.0ms (41.2% of total)
ival-sqrt: 65.0ms (36.7% of total)
adjust: 17.0ms (9.6% of total)
ival-sub: 13.0ms (7.3% of total)
ival-add: 7.0ms (4% of total)
ival-true: 1.0ms (0.6% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)

preprocess713.0ms (10.5%)

Memory
-11.6MiB live, 237.5MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01131
12427
26126
312826
420126
529926
645626
773926
8114226
9172226
10403426
11552126
12624726
13669726
14671926
15673926
16712126
17770726
18770726
0913
01513
12313
23413
34713
46813
510413
617813
736413
874613
9133113
10224813
11311813
12385413
13417913
14446413
15461913
16469313
17492813
18571113
19592413
20759613
0807712
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
Outputs
(-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
Compiler

Compiled 13 to 9 computations (30.8% saved)

eval0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶53.1%
(-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify304.0ms (4.5%)

Memory
58.1MiB live, 58.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
cost-diff0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
cost-diff0
(-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
cost-diff1
(+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0941
01541
12341
23441
34741
46841
510441
617841
736441
874641
9133141
10224841
11311841
12385441
13417941
14446441
15461941
16469341
17492841
18571141
19592441
20759641
0807738
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
Outputs
(-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(pow.f64 x #s(literal 2 binary64))
(*.f64 x x)
x
#s(literal 2 binary64)
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x x #s(literal 1 binary64))

localize115.0ms (1.7%)

Memory
-51.4MiB live, 29.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
accuracy0.00390625
(+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
accuracy0.00390625
(sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
accuracy30.044687754005995
(-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
Samples
91.0ms172×2valid
11.0ms78×1valid
0.0ms6×0valid
Compiler

Compiled 43 to 11 computations (74.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 88.0ms
adjust: 60.0ms (68.3% of total)
ival-sqrt: 11.0ms (12.5% of total)
ival-sub: 8.0ms (9.1% of total)
ival-pow2: 5.0ms (5.7% of total)
ival-add: 3.0ms (3.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
2.3MiB live, 2.3MiB allocated
Counts
4 → 29
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
Outputs
1
(+ 1 (pow x 2))
(* -1 (pow x 2))
(* (pow x 2) (- (* -1/8 (pow x 4)) 1))
(* (pow x 2) (- (* (pow x 4) (- (* -7/128 (pow x 4)) 1/8)) 1))
(* (pow x 2) (- (* (pow x 4) (- (* (pow x 4) (- (* -33/1024 (pow x 4)) 7/128)) 1/8)) 1))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(+ 1 (* -1 (pow x 2)))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* x (- (sqrt -1) 1))
(* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* x (- (+ (sqrt -1) (+ (/ 1/8 (pow x 4)) (/ 1/2 (* (pow x 2) (sqrt -1))))) (+ 1 (+ (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (pow x 2)))))))
(* x (- (+ (sqrt -1) (+ (/ 1/16 (* (pow x 6) (pow (sqrt -1) 5))) (+ (/ 1/8 (pow x 4)) (/ 1/2 (* (pow x 2) (sqrt -1)))))) (+ 1 (+ (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))))))
(* x (sqrt -1))
(* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))
(* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))
(* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* -1 (* x (- (sqrt -1) 1)))
(* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/8 (pow x 4)) (/ 1/2 (* (pow x 2) (sqrt -1))))) (+ 1 (+ (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (pow x 2))))))))
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/16 (* (pow x 6) (pow (sqrt -1) 5))) (+ (/ 1/8 (pow x 4)) (/ 1/2 (* (pow x 2) (sqrt -1)))))) (+ 1 (+ (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6)))))))))
(* -1 (* x (sqrt -1)))
(* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
(* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@inf
((+ 1 (pow x 2)) (- (sqrt (- 1 (pow x 2))) (sqrt (+ 1 (pow x 2)))) (sqrt (- 1 (pow x 2))) (- 1 (pow x 2)))
1.0ms
x
@0
((+ 1 (pow x 2)) (- (sqrt (- 1 (pow x 2))) (sqrt (+ 1 (pow x 2)))) (sqrt (- 1 (pow x 2))) (- 1 (pow x 2)))
1.0ms
x
@-inf
((+ 1 (pow x 2)) (- (sqrt (- 1 (pow x 2))) (sqrt (+ 1 (pow x 2)))) (sqrt (- 1 (pow x 2))) (- 1 (pow x 2)))

simplify131.0ms (1.9%)

Memory
38.1MiB live, 38.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0110520
1282518
2864490
33377473
08369447
Stop Event
1×iter limit
1×node limit
Counts
29 → 29
Calls
Call 1
Inputs
1
(+ 1 (pow x 2))
(* -1 (pow x 2))
(* (pow x 2) (- (* -1/8 (pow x 4)) 1))
(* (pow x 2) (- (* (pow x 4) (- (* -7/128 (pow x 4)) 1/8)) 1))
(* (pow x 2) (- (* (pow x 4) (- (* (pow x 4) (- (* -33/1024 (pow x 4)) 7/128)) 1/8)) 1))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(+ 1 (* -1 (pow x 2)))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* x (- (sqrt -1) 1))
(* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* x (- (+ (sqrt -1) (+ (/ 1/8 (pow x 4)) (/ 1/2 (* (pow x 2) (sqrt -1))))) (+ 1 (+ (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (pow x 2)))))))
(* x (- (+ (sqrt -1) (+ (/ 1/16 (* (pow x 6) (pow (sqrt -1) 5))) (+ (/ 1/8 (pow x 4)) (/ 1/2 (* (pow x 2) (sqrt -1)))))) (+ 1 (+ (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))))))
(* x (sqrt -1))
(* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))
(* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))
(* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* -1 (* x (- (sqrt -1) 1)))
(* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/8 (pow x 4)) (/ 1/2 (* (pow x 2) (sqrt -1))))) (+ 1 (+ (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (pow x 2))))))))
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/16 (* (pow x 6) (pow (sqrt -1) 5))) (+ (/ 1/8 (pow x 4)) (/ 1/2 (* (pow x 2) (sqrt -1)))))) (+ 1 (+ (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6)))))))))
(* -1 (* x (sqrt -1)))
(* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
(* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (* -1/8 (pow x 4)) 1))
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64) #s(literal -1 binary64)) x) x)
(* (pow x 2) (- (* (pow x 4) (- (* -7/128 (pow x 4)) 1/8)) 1))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -7/128 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) x) x)
(* (pow x 2) (- (* (pow x 4) (- (* (pow x 4) (- (* -33/1024 (pow x 4)) 7/128)) 1/8)) 1))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -33/1024 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -7/128 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) x) x)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* x (- (sqrt -1) 1))
(*.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) x (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) x))
(* x (- (+ (sqrt -1) (+ (/ 1/8 (pow x 4)) (/ 1/2 (* (pow x 2) (sqrt -1))))) (+ 1 (+ (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (pow x 2)))))))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64)))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) x)))
(* x (- (+ (sqrt -1) (+ (/ 1/16 (* (pow x 6) (pow (sqrt -1) 5))) (+ (/ 1/8 (pow x 4)) (/ 1/2 (* (pow x 2) (sqrt -1)))))) (+ 1 (+ (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))))))
(*.f64 (-.f64 (+.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64)))) x)
(* x (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) x)
(* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) x (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)))
(* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))
(fma.f64 (/.f64 x (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) x (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))))
(* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(fma.f64 (/.f64 x (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) (sqrt.f64 #s(literal -1 binary64))) x (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* -1 (* x (- (sqrt -1) 1)))
(-.f64 x (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))
(* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
(-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) x) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) x (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))))
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/8 (pow x 4)) (/ 1/2 (* (pow x 2) (sqrt -1))))) (+ 1 (+ (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (pow x 2))))))))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64)))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) x))))
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/16 (* (pow x 6) (pow (sqrt -1) 5))) (+ (/ 1/8 (pow x 4)) (/ 1/2 (* (pow x 2) (sqrt -1)))))) (+ 1 (+ (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6)))))))))
(*.f64 (-.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))) (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64)))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64)))))) x)
(* -1 (* x (sqrt -1)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
(fma.f64 (neg.f64 x) (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)))
(* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))
(-.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x)) (*.f64 x (-.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64))))))
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
(fma.f64 (/.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (neg.f64 x) (+.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) x))))

rewrite384.0ms (5.7%)

Memory
-172.1MiB live, 54.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0929
01529
16129
241529
3608429
0837727
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 417
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
Outputs
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x))))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (-.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1 binary64)) (pow.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))
(*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) (pow.f64 x #s(literal 6 binary64))))
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (pow.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 6 binary64)))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (*.f64 (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (*.f64 (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))))
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(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) x #s(literal 1 binary64))
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 x)) (sqrt.f64 x) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x))))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 (pow.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(fma.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(fma.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(fma.f64 (*.f64 x x) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 x (neg.f64 x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)))
(-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (pow.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(fabs.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (*.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))))
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x))))
(+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(+.f64 (pow.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))))
(+.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (*.f64 (neg.f64 x) x))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 (*.f64 (neg.f64 x) x))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) #s(literal 1 binary64)))
(exp.f64 (log1p.f64 (*.f64 (neg.f64 x) x)))

eval63.0ms (0.9%)

Memory
-55.0MiB live, 41.8MiB allocated
Compiler

Compiled 13 872 to 1 667 computations (88% saved)

prune13.0ms (0.2%)

Memory
18.7MiB live, 18.7MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New4368444
Fresh000
Picked101
Done000
Total4378445
Accuracy
100.0%
Counts
445 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶53.1%
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (neg.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))))
53.1%
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 x x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
▶53.1%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
53.1%
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
53.1%
(-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
▶53.1%
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))))
▶99.5%
#s(approx (- (sqrt (- 1 (pow x 2))) (sqrt (+ 1 (pow x 2)))) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64) #s(literal -1 binary64)) x) x))
▶99.2%
#s(approx (- (sqrt (- 1 (pow x 2))) (sqrt (+ 1 (pow x 2)))) (*.f64 (neg.f64 x) x))
Compiler

Compiled 396 to 190 computations (52% saved)

simplify119.0ms (1.8%)

Memory
20.1MiB live, 20.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 x x))
cost-diff0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
cost-diff26
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (neg.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))))
cost-diff1
(fma.f64 x x (fma.f64 x x #s(literal 1 binary64)))
cost-diff1
(neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 x x #s(literal 1 binary64)))))
cost-diff2
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))))
cost-diff3
(-.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))))
cost-diff0
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
cost-diff0
(-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
cost-diff4
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
cost-diff0
(neg.f64 x)
cost-diff0
(*.f64 (neg.f64 x) x)
cost-diff0
#s(approx (- (sqrt (- 1 (pow x 2))) (sqrt (+ 1 (pow x 2)))) (*.f64 (neg.f64 x) x))
cost-diff0
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64) #s(literal -1 binary64))
cost-diff0
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64) #s(literal -1 binary64)) x) x)
cost-diff0
#s(approx (- (sqrt (- 1 (pow x 2))) (sqrt (+ 1 (pow x 2)))) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64) #s(literal -1 binary64)) x) x))
cost-diff1
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64) #s(literal -1 binary64)) x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039399
066375
1120367
2239350
3666346
42285346
55393346
67109346
77997346
08057345
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (- (sqrt (- 1 (pow x 2))) (sqrt (+ 1 (pow x 2)))) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64) #s(literal -1 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64) #s(literal -1 binary64)) x) x)
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64) #s(literal -1 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64) #s(literal -1 binary64))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal -1/8 binary64)
#s(literal -1 binary64)
#s(approx (- (sqrt (- 1 (pow x 2))) (sqrt (+ 1 (pow x 2)))) (*.f64 (neg.f64 x) x))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
x
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
x
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))))
#s(literal 1 binary64)
(fma.f64 x x (fma.f64 x x #s(literal 1 binary64)))
x
(fma.f64 x x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
(neg.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (neg.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
x
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
(neg.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
Outputs
#s(approx (- (sqrt (- 1 (pow x 2))) (sqrt (+ 1 (pow x 2)))) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64) #s(literal -1 binary64)) x) x))
#s(approx (- (sqrt (- 1 (pow x 2))) (sqrt (+ 1 (pow x 2)))) (*.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/8 binary64) (neg.f64 x)) x))
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64) #s(literal -1 binary64)) x) x)
(*.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/8 binary64) (neg.f64 x)) x)
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64) #s(literal -1 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/8 binary64) (neg.f64 x))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal -1/8 binary64)
#s(literal -1 binary64)
#s(approx (- (sqrt (- 1 (pow x 2))) (sqrt (+ 1 (pow x 2)))) (*.f64 (neg.f64 x) x))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
x
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(-.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
(-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(*.f64 x x)
x
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
(neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))))
(*.f64 #s(literal -2 binary64) (*.f64 x x))
#s(literal 1 binary64)
(fma.f64 x x (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 1 binary64))
x
(fma.f64 x x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
(/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
(neg.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(neg.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(*.f64 x x)
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (neg.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 x x)
x
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
(neg.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
(/.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))

localize293.0ms (4.3%)

Memory
-9.4MiB live, 136.3MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
accuracy0.00390625
(-.f64 #s(literal 1 binary64) (*.f64 x x))
accuracy0.00390625
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
accuracy30.03262730305038
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (neg.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))))
accuracy0.00390625
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
accuracy0.01171875
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))))
accuracy0.015625
(fma.f64 x x (fma.f64 x x #s(literal 1 binary64)))
accuracy30.055192146545885
(-.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))))
accuracy0.00390625
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
accuracy0.125
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
accuracy0.5256513411605517
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
accuracy30.044687754005995
(-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
accuracy0.0
(*.f64 (neg.f64 x) x)
accuracy0.0
(neg.f64 x)
accuracy0.4917415010138808
#s(approx (- (sqrt (- 1 (pow x 2))) (sqrt (+ 1 (pow x 2)))) (*.f64 (neg.f64 x) x))
accuracy0.0
(pow.f64 x #s(literal 4 binary64))
accuracy0.00390625
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64) #s(literal -1 binary64)) x) x)
accuracy0.0078125
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64) #s(literal -1 binary64)) x)
accuracy0.3120948679949077
#s(approx (- (sqrt (- 1 (pow x 2))) (sqrt (+ 1 (pow x 2)))) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64) #s(literal -1 binary64)) x) x))
Samples
127.0ms142×2valid
46.0ms78×1valid
40.0ms30×3valid
2.0ms6×0valid
Compiler

Compiled 419 to 40 computations (90.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 163.0ms
adjust: 33.0ms (20.2% of total)
ival-div: 20.0ms (12.3% of total)
ival-hypot: 20.0ms (12.3% of total)
ival-sub: 18.0ms (11% of total)
ival-sqrt: 18.0ms (11% of total)
ival-add: 17.0ms (10.4% of total)
ival-mult: 17.0ms (10.4% of total)
ival-neg: 9.0ms (5.5% of total)
ival-pow2: 6.0ms (3.7% of total)
ival-pow: 4.0ms (2.5% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series21.0ms (0.3%)

Memory
8.6MiB live, 8.6MiB allocated
Counts
20 → 76
Calls
Call 1
Inputs
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64) #s(literal -1 binary64)) x)
#s(approx (- (sqrt (- 1 (pow x 2))) (sqrt (+ 1 (pow x 2)))) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64) #s(literal -1 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64) #s(literal -1 binary64)) x) x)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64) #s(literal -1 binary64))
#s(approx (- (sqrt (- 1 (pow x 2))) (sqrt (+ 1 (pow x 2)))) (*.f64 (neg.f64 x) x))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 x x #s(literal 1 binary64)))))
(fma.f64 x x (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (neg.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
(pow.f64 x #s(literal 4 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
Outputs
(* -1 x)
(* x (- (* -1/8 (pow x 4)) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (* -1/8 (pow x 4)) 1))
(* (pow x 2) (- (* (pow x 4) (- (* -7/128 (pow x 4)) 1/8)) 1))
(* (pow x 2) (- (* (pow x 4) (- (* (pow x 4) (- (* -33/1024 (pow x 4)) 7/128)) 1/8)) 1))
-1
(- (* -1/8 (pow x 4)) 1)
(/ -1 (pow x 2))
(/ (- (* 1/8 (pow x 4)) 1) (pow x 2))
(/ (- (* (pow x 4) (+ 1/8 (* 5/128 (pow x 4)))) 1) (pow x 2))
(/ (- (* (pow x 4) (+ 1/8 (* (pow x 4) (+ 5/128 (* 21/1024 (pow x 4)))))) 1) (pow x 2))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(* -2 (pow x 2))
(* 2 (pow x 2))
(+ 1 (* 2 (pow x 2)))
(+ 1 (* -1 (pow x 2)))
(pow x 2)
(pow x 4)
1/2
(+ 1/2 (* -1/4 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* -1/16 (pow x 4)) 1/4)))
(+ 1/2 (* (pow x 2) (- (* (pow x 4) (- (* -1/32 (pow x 4)) 1/16)) 1/4)))
(* -1/8 (pow x 5))
(* -1 (* (pow x 5) (+ 1/8 (/ 1 (pow x 4)))))
(* x (- (sqrt -1) 1))
(* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* x (- (+ (sqrt -1) (+ (/ 1/8 (pow x 4)) (/ 1/2 (* (pow x 2) (sqrt -1))))) (+ 1 (+ (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (pow x 2)))))))
(* x (- (+ (sqrt -1) (+ (/ 1/16 (* (pow x 6) (pow (sqrt -1) 5))) (+ (/ 1/8 (pow x 4)) (/ 1/2 (* (pow x 2) (sqrt -1)))))) (+ 1 (+ (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))))))
(* -1/8 (pow x 6))
(* -1 (* (pow x 6) (+ 1/8 (/ 1 (pow x 4)))))
(* -1/8 (pow x 4))
(* -1 (* (pow x 4) (+ 1/8 (/ 1 (pow x 4)))))
(/ 1 (* x (- (sqrt -1) 1)))
(/ (- (+ (/ 1/2 (* (pow x 2) (pow (- (sqrt -1) 1) 2))) (/ 1 (- (sqrt -1) 1))) (/ 1/2 (* (pow x 2) (* (sqrt -1) (pow (- (sqrt -1) 1) 2))))) x)
(/ (- (+ (/ 1/2 (* (pow x 2) (pow (- (sqrt -1) 1) 2))) (+ (* 1/8 (/ 1 (* (pow x 4) (* (pow (sqrt -1) 3) (pow (- (sqrt -1) 1) 2))))) (/ 1 (- (sqrt -1) 1)))) (+ (/ 1/2 (* (pow x 2) (* (sqrt -1) (pow (- (sqrt -1) 1) 2)))) (+ (* 1/8 (/ 1 (* (pow x 4) (pow (- (sqrt -1) 1) 2)))) (/ (* (- (* 1/2 (/ 1 (sqrt -1))) 1/2) (- (* 1/2 (/ 1 (pow (- (sqrt -1) 1) 2))) (* 1/2 (/ 1 (* (sqrt -1) (pow (- (sqrt -1) 1) 2)))))) (* (pow x 4) (- (sqrt -1) 1)))))) x)
(/ (- (+ (/ 1/16 (* (pow x 6) (pow (- (sqrt -1) 1) 2))) (+ (/ 1/2 (* (pow x 2) (pow (- (sqrt -1) 1) 2))) (+ (* 1/8 (/ 1 (* (pow x 4) (* (pow (sqrt -1) 3) (pow (- (sqrt -1) 1) 2))))) (/ 1 (- (sqrt -1) 1))))) (+ (/ 1/16 (* (pow x 6) (* (pow (sqrt -1) 5) (pow (- (sqrt -1) 1) 2)))) (+ (/ 1/2 (* (pow x 2) (* (sqrt -1) (pow (- (sqrt -1) 1) 2)))) (+ (* 1/8 (/ 1 (* (pow x 4) (pow (- (sqrt -1) 1) 2)))) (+ (/ (* (- 1/8 (* 1/8 (/ 1 (pow (sqrt -1) 3)))) (- (* 1/2 (/ 1 (pow (- (sqrt -1) 1) 2))) (* 1/2 (/ 1 (* (sqrt -1) (pow (- (sqrt -1) 1) 2)))))) (* (pow x 6) (- (sqrt -1) 1))) (+ (/ (* (- (* 1/8 (/ 1 (* (pow (sqrt -1) 3) (pow (- (sqrt -1) 1) 2)))) (+ (* 1/8 (/ 1 (pow (- (sqrt -1) 1) 2))) (/ (* (- (* 1/2 (/ 1 (sqrt -1))) 1/2) (- (* 1/2 (/ 1 (pow (- (sqrt -1) 1) 2))) (* 1/2 (/ 1 (* (sqrt -1) (pow (- (sqrt -1) 1) 2)))))) (- (sqrt -1) 1)))) (- (* 1/2 (/ 1 (sqrt -1))) 1/2)) (* (pow x 6) (- (sqrt -1) 1))) (/ (* (- (* 1/2 (/ 1 (sqrt -1))) 1/2) (- (* 1/2 (/ 1 (pow (- (sqrt -1) 1) 2))) (* 1/2 (/ 1 (* (sqrt -1) (pow (- (sqrt -1) 1) 2)))))) (* (pow x 4) (- (sqrt -1) 1))))))))) x)
(* x (sqrt -1))
(* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))
(* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))
(* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(* -2 (/ x (+ 1 (sqrt -1))))
(* x (- (* 2 (/ (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) (* (pow x 2) (pow (+ 1 (sqrt -1)) 2)))) (* 2 (/ 1 (+ 1 (sqrt -1))))))
(* x (- (* -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)))) (pow x 4))) (+ (* -2 (/ (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) (* (pow x 2) (pow (+ 1 (sqrt -1)) 2)))) (* 2 (/ 1 (+ 1 (sqrt -1)))))))
(* x (- (* -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))) (* -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)))))) (pow x 6))) (+ (* -2 (/ (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) (* (pow x 2) (pow (+ 1 (sqrt -1)) 2)))) (+ (* 2 (/ (+ 1/8 (* 1/8 (/ 1 (pow (sqrt -1) 3)))) (* (pow x 4) (pow (+ 1 (sqrt -1)) 2)))) (+ (* 2 (/ (pow (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) 2) (* (pow x 4) (pow (+ 1 (sqrt -1)) 3)))) (* 2 (/ 1 (+ 1 (sqrt -1)))))))))
(* (pow x 2) (+ 2 (/ 1 (pow x 2))))
(* x (- (* 2 (/ (+ (* 1/2 (/ 1 (* (sqrt -1) (pow (+ 1 (sqrt -1)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (sqrt -1)) 2)))) (pow x 2))) (* 2 (/ 1 (+ 1 (sqrt -1))))))
(* x (- (* 2 (/ (+ (* -1 (/ (* (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) (+ (* 1/2 (/ 1 (* (sqrt -1) (pow (+ 1 (sqrt -1)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (sqrt -1)) 2))))) (+ 1 (sqrt -1)))) (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (pow (sqrt -1) 3)))) (pow (+ 1 (sqrt -1)) 2)))) (pow x 4))) (+ (* -2 (/ (+ (* 1/2 (/ 1 (* (sqrt -1) (pow (+ 1 (sqrt -1)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (sqrt -1)) 2)))) (pow x 2))) (* 2 (/ 1 (+ 1 (sqrt -1)))))))
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(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(/ (sqrt -1) (+ 1 (sqrt -1)))
(+ (* -1 (/ (* (sqrt -1) (+ (* 1/2 (/ 1 (* (sqrt -1) (pow (+ 1 (sqrt -1)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (sqrt -1)) 2))))) (pow x 2))) (+ (/ 1/2 (* (pow x 2) (* (sqrt -1) (+ 1 (sqrt -1))))) (/ (sqrt -1) (+ 1 (sqrt -1)))))
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(* -1 (* x (- (sqrt -1) 1)))
(* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/8 (pow x 4)) (/ 1/2 (* (pow x 2) (sqrt -1))))) (+ 1 (+ (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (pow x 2))))))))
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/16 (* (pow x 6) (pow (sqrt -1) 5))) (+ (/ 1/8 (pow x 4)) (/ 1/2 (* (pow x 2) (sqrt -1)))))) (+ 1 (+ (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6)))))))))
(/ -1 (* x (- (sqrt -1) 1)))
(* -1 (/ (- (+ (/ 1/2 (* (pow x 2) (pow (- (sqrt -1) 1) 2))) (/ 1 (- (sqrt -1) 1))) (/ 1/2 (* (pow x 2) (* (sqrt -1) (pow (- (sqrt -1) 1) 2))))) x))
(* -1 (/ (- (+ (/ 1/2 (* (pow x 2) (pow (- (sqrt -1) 1) 2))) (+ (* 1/8 (/ 1 (* (pow x 4) (* (pow (sqrt -1) 3) (pow (- (sqrt -1) 1) 2))))) (/ 1 (- (sqrt -1) 1)))) (+ (/ 1/2 (* (pow x 2) (* (sqrt -1) (pow (- (sqrt -1) 1) 2)))) (+ (* 1/8 (/ 1 (* (pow x 4) (pow (- (sqrt -1) 1) 2)))) (/ (* (- (* 1/2 (/ 1 (sqrt -1))) 1/2) (- (* 1/2 (/ 1 (pow (- (sqrt -1) 1) 2))) (* 1/2 (/ 1 (* (sqrt -1) (pow (- (sqrt -1) 1) 2)))))) (* (pow x 4) (- (sqrt -1) 1)))))) x))
(* -1 (/ (- (+ (/ 1/16 (* (pow x 6) (pow (- (sqrt -1) 1) 2))) (+ (/ 1/2 (* (pow x 2) (pow (- (sqrt -1) 1) 2))) (+ (* 1/8 (/ 1 (* (pow x 4) (* (pow (sqrt -1) 3) (pow (- (sqrt -1) 1) 2))))) (/ 1 (- (sqrt -1) 1))))) (+ (/ 1/16 (* (pow x 6) (* (pow (sqrt -1) 5) (pow (- (sqrt -1) 1) 2)))) (+ (/ 1/2 (* (pow x 2) (* (sqrt -1) (pow (- (sqrt -1) 1) 2)))) (+ (* 1/8 (/ 1 (* (pow x 4) (pow (- (sqrt -1) 1) 2)))) (+ (/ (* (- 1/8 (* 1/8 (/ 1 (pow (sqrt -1) 3)))) (- (* 1/2 (/ 1 (pow (- (sqrt -1) 1) 2))) (* 1/2 (/ 1 (* (sqrt -1) (pow (- (sqrt -1) 1) 2)))))) (* (pow x 6) (- (sqrt -1) 1))) (+ (/ (* (- (* 1/8 (/ 1 (* (pow (sqrt -1) 3) (pow (- (sqrt -1) 1) 2)))) (+ (* 1/8 (/ 1 (pow (- (sqrt -1) 1) 2))) (/ (* (- (* 1/2 (/ 1 (sqrt -1))) 1/2) (- (* 1/2 (/ 1 (pow (- (sqrt -1) 1) 2))) (* 1/2 (/ 1 (* (sqrt -1) (pow (- (sqrt -1) 1) 2)))))) (- (sqrt -1) 1)))) (- (* 1/2 (/ 1 (sqrt -1))) 1/2)) (* (pow x 6) (- (sqrt -1) 1))) (/ (* (- (* 1/2 (/ 1 (sqrt -1))) 1/2) (- (* 1/2 (/ 1 (pow (- (sqrt -1) 1) 2))) (* 1/2 (/ 1 (* (sqrt -1) (pow (- (sqrt -1) 1) 2)))))) (* (pow x 4) (- (sqrt -1) 1))))))))) x))
(* -1 (* x (sqrt -1)))
(* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
(* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
(* 2 (/ x (+ 1 (sqrt -1))))
(* -1 (* x (- (* 2 (/ (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) (* (pow x 2) (pow (+ 1 (sqrt -1)) 2)))) (* 2 (/ 1 (+ 1 (sqrt -1)))))))
(* -1 (* x (- (* -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)))) (pow x 4))) (+ (* -2 (/ (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) (* (pow x 2) (pow (+ 1 (sqrt -1)) 2)))) (* 2 (/ 1 (+ 1 (sqrt -1))))))))
(* -1 (* x (- (* -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))) (* -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)))))) (pow x 6))) (+ (* -2 (/ (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) (* (pow x 2) (pow (+ 1 (sqrt -1)) 2)))) (+ (* 2 (/ (+ 1/8 (* 1/8 (/ 1 (pow (sqrt -1) 3)))) (* (pow x 4) (pow (+ 1 (sqrt -1)) 2)))) (+ (* 2 (/ (pow (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) 2) (* (pow x 4) (pow (+ 1 (sqrt -1)) 3)))) (* 2 (/ 1 (+ 1 (sqrt -1))))))))))
(* -1 (* x (- (* 2 (/ (+ (* 1/2 (/ 1 (* (sqrt -1) (pow (+ 1 (sqrt -1)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (sqrt -1)) 2)))) (pow x 2))) (* 2 (/ 1 (+ 1 (sqrt -1)))))))
(* -1 (* x (- (* 2 (/ (+ (* -1 (/ (* (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) (+ (* 1/2 (/ 1 (* (sqrt -1) (pow (+ 1 (sqrt -1)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (sqrt -1)) 2))))) (+ 1 (sqrt -1)))) (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (pow (sqrt -1) 3)))) (pow (+ 1 (sqrt -1)) 2)))) (pow x 4))) (+ (* -2 (/ (+ (* 1/2 (/ 1 (* (sqrt -1) (pow (+ 1 (sqrt -1)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (sqrt -1)) 2)))) (pow x 2))) (* 2 (/ 1 (+ 1 (sqrt -1))))))))
(* -1 (* x (- (* 2 (/ (+ (* -1 (/ (* (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) (+ (* -1 (/ (* (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) (+ (* 1/2 (/ 1 (* (sqrt -1) (pow (+ 1 (sqrt -1)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (sqrt -1)) 2))))) (+ 1 (sqrt -1)))) (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (pow (sqrt -1) 3)))) (pow (+ 1 (sqrt -1)) 2))))) (+ 1 (sqrt -1)))) (+ (* 1/16 (/ 1 (* (pow (sqrt -1) 5) (pow (+ 1 (sqrt -1)) 2)))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt -1)) 2))) (/ (* (+ 1/8 (* 1/8 (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (/ 1 (* (sqrt -1) (pow (+ 1 (sqrt -1)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (sqrt -1)) 2))))) (+ 1 (sqrt -1)))))) (pow x 6))) (+ (* -2 (/ (+ (* -1 (/ (* (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) (+ (* 1/2 (/ 1 (* (sqrt -1) (pow (+ 1 (sqrt -1)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (sqrt -1)) 2))))) (+ 1 (sqrt -1)))) (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (pow (sqrt -1) 3)))) (pow (+ 1 (sqrt -1)) 2)))) (pow x 4))) (+ (* -2 (/ (+ (* 1/2 (/ 1 (* (sqrt -1) (pow (+ 1 (sqrt -1)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (sqrt -1)) 2)))) (pow x 2))) (* 2 (/ 1 (+ 1 (sqrt -1)))))))))
Calls

3 calls:

TimeVariablePointExpression
11.0ms
x
@inf
((* (+ (* (pow x 4) -1/8) -1) x) (- (sqrt (- 1 (pow x 2))) (sqrt (+ 1 (pow x 2)))) (* (* (+ (* (pow x 4) -1/8) -1) x) x) (+ (* (pow x 4) -1/8) -1) (- (sqrt (- 1 (pow x 2))) (sqrt (+ 1 (pow x 2)))) (* (neg x) x) (neg x) (/ 1 (/ 1 (- (sqrt (- 1 (* x x))) (sqrt (+ (* x x) 1))))) (/ 1 (- (sqrt (- 1 (* x x))) (sqrt (+ (* x x) 1)))) (- (sqrt (- 1 (* x x))) (sqrt (+ (* x x) 1))) (sqrt (- 1 (* x x))) (- 1 (+ (* x x) (+ (* x x) 1))) (* (neg (- 1 (+ (* x x) (+ (* x x) 1)))) (/ 1 (neg (+ (sqrt (+ (* x x) 1)) (sqrt (- 1 (* x x))))))) (neg (- 1 (+ (* x x) (+ (* x x) 1)))) (+ (* x x) (+ (* x x) 1)) (+ (* (sqrt (- 1 (* x x))) (/ (sqrt (- 1 (* x x))) (+ (sqrt (+ (* x x) 1)) (sqrt (- 1 (* x x)))))) (neg (/ (+ (* x x) 1) (+ (sqrt (+ (* x x) 1)) (sqrt (- 1 (* x x))))))) (- 1 (* x x)) (* x x) (pow x 4) (/ (sqrt (- 1 (* x x))) (+ (sqrt (+ (* x x) 1)) (sqrt (- 1 (* x x))))))
4.0ms
x
@-inf
((* (+ (* (pow x 4) -1/8) -1) x) (- (sqrt (- 1 (pow x 2))) (sqrt (+ 1 (pow x 2)))) (* (* (+ (* (pow x 4) -1/8) -1) x) x) (+ (* (pow x 4) -1/8) -1) (- (sqrt (- 1 (pow x 2))) (sqrt (+ 1 (pow x 2)))) (* (neg x) x) (neg x) (/ 1 (/ 1 (- (sqrt (- 1 (* x x))) (sqrt (+ (* x x) 1))))) (/ 1 (- (sqrt (- 1 (* x x))) (sqrt (+ (* x x) 1)))) (- (sqrt (- 1 (* x x))) (sqrt (+ (* x x) 1))) (sqrt (- 1 (* x x))) (- 1 (+ (* x x) (+ (* x x) 1))) (* (neg (- 1 (+ (* x x) (+ (* x x) 1)))) (/ 1 (neg (+ (sqrt (+ (* x x) 1)) (sqrt (- 1 (* x x))))))) (neg (- 1 (+ (* x x) (+ (* x x) 1)))) (+ (* x x) (+ (* x x) 1)) (+ (* (sqrt (- 1 (* x x))) (/ (sqrt (- 1 (* x x))) (+ (sqrt (+ (* x x) 1)) (sqrt (- 1 (* x x)))))) (neg (/ (+ (* x x) 1) (+ (sqrt (+ (* x x) 1)) (sqrt (- 1 (* x x))))))) (- 1 (* x x)) (* x x) (pow x 4) (/ (sqrt (- 1 (* x x))) (+ (sqrt (+ (* x x) 1)) (sqrt (- 1 (* x x))))))
3.0ms
x
@0
((* (+ (* (pow x 4) -1/8) -1) x) (- (sqrt (- 1 (pow x 2))) (sqrt (+ 1 (pow x 2)))) (* (* (+ (* (pow x 4) -1/8) -1) x) x) (+ (* (pow x 4) -1/8) -1) (- (sqrt (- 1 (pow x 2))) (sqrt (+ 1 (pow x 2)))) (* (neg x) x) (neg x) (/ 1 (/ 1 (- (sqrt (- 1 (* x x))) (sqrt (+ (* x x) 1))))) (/ 1 (- (sqrt (- 1 (* x x))) (sqrt (+ (* x x) 1)))) (- (sqrt (- 1 (* x x))) (sqrt (+ (* x x) 1))) (sqrt (- 1 (* x x))) (- 1 (+ (* x x) (+ (* x x) 1))) (* (neg (- 1 (+ (* x x) (+ (* x x) 1)))) (/ 1 (neg (+ (sqrt (+ (* x x) 1)) (sqrt (- 1 (* x x))))))) (neg (- 1 (+ (* x x) (+ (* x x) 1)))) (+ (* x x) (+ (* x x) 1)) (+ (* (sqrt (- 1 (* x x))) (/ (sqrt (- 1 (* x x))) (+ (sqrt (+ (* x x) 1)) (sqrt (- 1 (* x x)))))) (neg (/ (+ (* x x) 1) (+ (sqrt (+ (* x x) 1)) (sqrt (- 1 (* x x))))))) (- 1 (* x x)) (* x x) (pow x 4) (/ (sqrt (- 1 (* x x))) (+ (sqrt (+ (* x x) 1)) (sqrt (- 1 (* x x))))))

simplify261.0ms (3.9%)

Memory
-29.2MiB live, 62.3MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03663340
111233208
242553052
084172989
Stop Event
1×iter limit
1×node limit
Counts
76 → 76
Calls
Call 1
Inputs
(* -1 x)
(* x (- (* -1/8 (pow x 4)) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (* -1/8 (pow x 4)) 1))
(* (pow x 2) (- (* (pow x 4) (- (* -7/128 (pow x 4)) 1/8)) 1))
(* (pow x 2) (- (* (pow x 4) (- (* (pow x 4) (- (* -33/1024 (pow x 4)) 7/128)) 1/8)) 1))
-1
(- (* -1/8 (pow x 4)) 1)
(/ -1 (pow x 2))
(/ (- (* 1/8 (pow x 4)) 1) (pow x 2))
(/ (- (* (pow x 4) (+ 1/8 (* 5/128 (pow x 4)))) 1) (pow x 2))
(/ (- (* (pow x 4) (+ 1/8 (* (pow x 4) (+ 5/128 (* 21/1024 (pow x 4)))))) 1) (pow x 2))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(* -2 (pow x 2))
(* 2 (pow x 2))
(+ 1 (* 2 (pow x 2)))
(+ 1 (* -1 (pow x 2)))
(pow x 2)
(pow x 4)
1/2
(+ 1/2 (* -1/4 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* -1/16 (pow x 4)) 1/4)))
(+ 1/2 (* (pow x 2) (- (* (pow x 4) (- (* -1/32 (pow x 4)) 1/16)) 1/4)))
(* -1/8 (pow x 5))
(* -1 (* (pow x 5) (+ 1/8 (/ 1 (pow x 4)))))
(* x (- (sqrt -1) 1))
(* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* x (- (+ (sqrt -1) (+ (/ 1/8 (pow x 4)) (/ 1/2 (* (pow x 2) (sqrt -1))))) (+ 1 (+ (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (pow x 2)))))))
(* x (- (+ (sqrt -1) (+ (/ 1/16 (* (pow x 6) (pow (sqrt -1) 5))) (+ (/ 1/8 (pow x 4)) (/ 1/2 (* (pow x 2) (sqrt -1)))))) (+ 1 (+ (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))))))
(* -1/8 (pow x 6))
(* -1 (* (pow x 6) (+ 1/8 (/ 1 (pow x 4)))))
(* -1/8 (pow x 4))
(* -1 (* (pow x 4) (+ 1/8 (/ 1 (pow x 4)))))
(/ 1 (* x (- (sqrt -1) 1)))
(/ (- (+ (/ 1/2 (* (pow x 2) (pow (- (sqrt -1) 1) 2))) (/ 1 (- (sqrt -1) 1))) (/ 1/2 (* (pow x 2) (* (sqrt -1) (pow (- (sqrt -1) 1) 2))))) x)
(/ (- (+ (/ 1/2 (* (pow x 2) (pow (- (sqrt -1) 1) 2))) (+ (* 1/8 (/ 1 (* (pow x 4) (* (pow (sqrt -1) 3) (pow (- (sqrt -1) 1) 2))))) (/ 1 (- (sqrt -1) 1)))) (+ (/ 1/2 (* (pow x 2) (* (sqrt -1) (pow (- (sqrt -1) 1) 2)))) (+ (* 1/8 (/ 1 (* (pow x 4) (pow (- (sqrt -1) 1) 2)))) (/ (* (- (* 1/2 (/ 1 (sqrt -1))) 1/2) (- (* 1/2 (/ 1 (pow (- (sqrt -1) 1) 2))) (* 1/2 (/ 1 (* (sqrt -1) (pow (- (sqrt -1) 1) 2)))))) (* (pow x 4) (- (sqrt -1) 1)))))) x)
(/ (- (+ (/ 1/16 (* (pow x 6) (pow (- (sqrt -1) 1) 2))) (+ (/ 1/2 (* (pow x 2) (pow (- (sqrt -1) 1) 2))) (+ (* 1/8 (/ 1 (* (pow x 4) (* (pow (sqrt -1) 3) (pow (- (sqrt -1) 1) 2))))) (/ 1 (- (sqrt -1) 1))))) (+ (/ 1/16 (* (pow x 6) (* (pow (sqrt -1) 5) (pow (- (sqrt -1) 1) 2)))) (+ (/ 1/2 (* (pow x 2) (* (sqrt -1) (pow (- (sqrt -1) 1) 2)))) (+ (* 1/8 (/ 1 (* (pow x 4) (pow (- (sqrt -1) 1) 2)))) (+ (/ (* (- 1/8 (* 1/8 (/ 1 (pow (sqrt -1) 3)))) (- (* 1/2 (/ 1 (pow (- (sqrt -1) 1) 2))) (* 1/2 (/ 1 (* (sqrt -1) (pow (- (sqrt -1) 1) 2)))))) (* (pow x 6) (- (sqrt -1) 1))) (+ (/ (* (- (* 1/8 (/ 1 (* (pow (sqrt -1) 3) (pow (- (sqrt -1) 1) 2)))) (+ (* 1/8 (/ 1 (pow (- (sqrt -1) 1) 2))) (/ (* (- (* 1/2 (/ 1 (sqrt -1))) 1/2) (- (* 1/2 (/ 1 (pow (- (sqrt -1) 1) 2))) (* 1/2 (/ 1 (* (sqrt -1) (pow (- (sqrt -1) 1) 2)))))) (- (sqrt -1) 1)))) (- (* 1/2 (/ 1 (sqrt -1))) 1/2)) (* (pow x 6) (- (sqrt -1) 1))) (/ (* (- (* 1/2 (/ 1 (sqrt -1))) 1/2) (- (* 1/2 (/ 1 (pow (- (sqrt -1) 1) 2))) (* 1/2 (/ 1 (* (sqrt -1) (pow (- (sqrt -1) 1) 2)))))) (* (pow x 4) (- (sqrt -1) 1))))))))) x)
(* x (sqrt -1))
(* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))
(* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))
(* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(* -2 (/ x (+ 1 (sqrt -1))))
(* x (- (* 2 (/ (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) (* (pow x 2) (pow (+ 1 (sqrt -1)) 2)))) (* 2 (/ 1 (+ 1 (sqrt -1))))))
(* x (- (* -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)))) (pow x 4))) (+ (* -2 (/ (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) (* (pow x 2) (pow (+ 1 (sqrt -1)) 2)))) (* 2 (/ 1 (+ 1 (sqrt -1)))))))
(* x (- (* -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))) (* -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)))))) (pow x 6))) (+ (* -2 (/ (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) (* (pow x 2) (pow (+ 1 (sqrt -1)) 2)))) (+ (* 2 (/ (+ 1/8 (* 1/8 (/ 1 (pow (sqrt -1) 3)))) (* (pow x 4) (pow (+ 1 (sqrt -1)) 2)))) (+ (* 2 (/ (pow (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) 2) (* (pow x 4) (pow (+ 1 (sqrt -1)) 3)))) (* 2 (/ 1 (+ 1 (sqrt -1)))))))))
(* (pow x 2) (+ 2 (/ 1 (pow x 2))))
(* x (- (* 2 (/ (+ (* 1/2 (/ 1 (* (sqrt -1) (pow (+ 1 (sqrt -1)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (sqrt -1)) 2)))) (pow x 2))) (* 2 (/ 1 (+ 1 (sqrt -1))))))
(* x (- (* 2 (/ (+ (* -1 (/ (* (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) (+ (* 1/2 (/ 1 (* (sqrt -1) (pow (+ 1 (sqrt -1)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (sqrt -1)) 2))))) (+ 1 (sqrt -1)))) (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (pow (sqrt -1) 3)))) (pow (+ 1 (sqrt -1)) 2)))) (pow x 4))) (+ (* -2 (/ (+ (* 1/2 (/ 1 (* (sqrt -1) (pow (+ 1 (sqrt -1)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (sqrt -1)) 2)))) (pow x 2))) (* 2 (/ 1 (+ 1 (sqrt -1)))))))
(* x (- (* 2 (/ (+ (* -1 (/ (* (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) (+ (* -1 (/ (* (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) (+ (* 1/2 (/ 1 (* (sqrt -1) (pow (+ 1 (sqrt -1)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (sqrt -1)) 2))))) (+ 1 (sqrt -1)))) (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (pow (sqrt -1) 3)))) (pow (+ 1 (sqrt -1)) 2))))) (+ 1 (sqrt -1)))) (+ (* 1/16 (/ 1 (* (pow (sqrt -1) 5) (pow (+ 1 (sqrt -1)) 2)))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt -1)) 2))) (/ (* (+ 1/8 (* 1/8 (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (/ 1 (* (sqrt -1) (pow (+ 1 (sqrt -1)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (sqrt -1)) 2))))) (+ 1 (sqrt -1)))))) (pow x 6))) (+ (* -2 (/ (+ (* -1 (/ (* (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) (+ (* 1/2 (/ 1 (* (sqrt -1) (pow (+ 1 (sqrt -1)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (sqrt -1)) 2))))) (+ 1 (sqrt -1)))) (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (pow (sqrt -1) 3)))) (pow (+ 1 (sqrt -1)) 2)))) (pow x 4))) (+ (* -2 (/ (+ (* 1/2 (/ 1 (* (sqrt -1) (pow (+ 1 (sqrt -1)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (sqrt -1)) 2)))) (pow x 2))) (* 2 (/ 1 (+ 1 (sqrt -1))))))))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(/ (sqrt -1) (+ 1 (sqrt -1)))
(+ (* -1 (/ (* (sqrt -1) (+ (* 1/2 (/ 1 (* (sqrt -1) (pow (+ 1 (sqrt -1)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (sqrt -1)) 2))))) (pow x 2))) (+ (/ 1/2 (* (pow x 2) (* (sqrt -1) (+ 1 (sqrt -1))))) (/ (sqrt -1) (+ 1 (sqrt -1)))))
(- (+ (* -1 (/ (* (sqrt -1) (+ (* -1 (/ (* (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) (+ (* 1/2 (/ 1 (* (sqrt -1) (pow (+ 1 (sqrt -1)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (sqrt -1)) 2))))) (+ 1 (sqrt -1)))) (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (pow (sqrt -1) 3)))) (pow (+ 1 (sqrt -1)) 2))))) (pow x 4))) (+ (* -1 (/ (* (sqrt -1) (+ (* 1/2 (/ 1 (* (sqrt -1) (pow (+ 1 (sqrt -1)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (sqrt -1)) 2))))) (pow x 2))) (+ (* -1/2 (/ (+ (* 1/2 (/ 1 (* (sqrt -1) (pow (+ 1 (sqrt -1)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (sqrt -1)) 2)))) (* (pow x 4) (sqrt -1)))) (+ (/ 1/2 (* (pow x 2) (* (sqrt -1) (+ 1 (sqrt -1))))) (/ (sqrt -1) (+ 1 (sqrt -1))))))) (* 1/8 (/ 1 (* (pow x 4) (* (pow (sqrt -1) 3) (+ 1 (sqrt -1)))))))
(- (+ (* -1 (/ (* (sqrt -1) (+ (* -1 (/ (* (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) (+ (* -1 (/ (* (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) (+ (* 1/2 (/ 1 (* (sqrt -1) (pow (+ 1 (sqrt -1)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (sqrt -1)) 2))))) (+ 1 (sqrt -1)))) (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (pow (sqrt -1) 3)))) (pow (+ 1 (sqrt -1)) 2))))) (+ 1 (sqrt -1)))) (+ (* 1/16 (/ 1 (* (pow (sqrt -1) 5) (pow (+ 1 (sqrt -1)) 2)))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt -1)) 2))) (/ (* (+ 1/8 (* 1/8 (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (/ 1 (* (sqrt -1) (pow (+ 1 (sqrt -1)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (sqrt -1)) 2))))) (+ 1 (sqrt -1))))))) (pow x 6))) (+ (* -1 (/ (* (sqrt -1) (+ (* -1 (/ (* (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) (+ (* 1/2 (/ 1 (* (sqrt -1) (pow (+ 1 (sqrt -1)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (sqrt -1)) 2))))) (+ 1 (sqrt -1)))) (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (pow (sqrt -1) 3)))) (pow (+ 1 (sqrt -1)) 2))))) (pow x 4))) (+ (* -1 (/ (* (sqrt -1) (+ (* 1/2 (/ 1 (* (sqrt -1) (pow (+ 1 (sqrt -1)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (sqrt -1)) 2))))) (pow x 2))) (+ (* -1/2 (/ (+ (* -1 (/ (* (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) (+ (* 1/2 (/ 1 (* (sqrt -1) (pow (+ 1 (sqrt -1)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (sqrt -1)) 2))))) (+ 1 (sqrt -1)))) (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (pow (sqrt -1) 3)))) (pow (+ 1 (sqrt -1)) 2)))) (* (pow x 6) (sqrt -1)))) (+ (* -1/2 (/ (+ (* 1/2 (/ 1 (* (sqrt -1) (pow (+ 1 (sqrt -1)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (sqrt -1)) 2)))) (* (pow x 4) (sqrt -1)))) (+ (* 1/8 (/ (+ (* 1/2 (/ 1 (* (sqrt -1) (pow (+ 1 (sqrt -1)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (sqrt -1)) 2)))) (* (pow x 6) (pow (sqrt -1) 3)))) (+ (/ 1/16 (* (pow x 6) (* (pow (sqrt -1) 5) (+ 1 (sqrt -1))))) (+ (/ 1/2 (* (pow x 2) (* (sqrt -1) (+ 1 (sqrt -1))))) (/ (sqrt -1) (+ 1 (sqrt -1))))))))))) (* 1/8 (/ 1 (* (pow x 4) (* (pow (sqrt -1) 3) (+ 1 (sqrt -1)))))))
(* -1 (* x (- (sqrt -1) 1)))
(* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/8 (pow x 4)) (/ 1/2 (* (pow x 2) (sqrt -1))))) (+ 1 (+ (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (pow x 2))))))))
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/16 (* (pow x 6) (pow (sqrt -1) 5))) (+ (/ 1/8 (pow x 4)) (/ 1/2 (* (pow x 2) (sqrt -1)))))) (+ 1 (+ (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6)))))))))
(/ -1 (* x (- (sqrt -1) 1)))
(* -1 (/ (- (+ (/ 1/2 (* (pow x 2) (pow (- (sqrt -1) 1) 2))) (/ 1 (- (sqrt -1) 1))) (/ 1/2 (* (pow x 2) (* (sqrt -1) (pow (- (sqrt -1) 1) 2))))) x))
(* -1 (/ (- (+ (/ 1/2 (* (pow x 2) (pow (- (sqrt -1) 1) 2))) (+ (* 1/8 (/ 1 (* (pow x 4) (* (pow (sqrt -1) 3) (pow (- (sqrt -1) 1) 2))))) (/ 1 (- (sqrt -1) 1)))) (+ (/ 1/2 (* (pow x 2) (* (sqrt -1) (pow (- (sqrt -1) 1) 2)))) (+ (* 1/8 (/ 1 (* (pow x 4) (pow (- (sqrt -1) 1) 2)))) (/ (* (- (* 1/2 (/ 1 (sqrt -1))) 1/2) (- (* 1/2 (/ 1 (pow (- (sqrt -1) 1) 2))) (* 1/2 (/ 1 (* (sqrt -1) (pow (- (sqrt -1) 1) 2)))))) (* (pow x 4) (- (sqrt -1) 1)))))) x))
(* -1 (/ (- (+ (/ 1/16 (* (pow x 6) (pow (- (sqrt -1) 1) 2))) (+ (/ 1/2 (* (pow x 2) (pow (- (sqrt -1) 1) 2))) (+ (* 1/8 (/ 1 (* (pow x 4) (* (pow (sqrt -1) 3) (pow (- (sqrt -1) 1) 2))))) (/ 1 (- (sqrt -1) 1))))) (+ (/ 1/16 (* (pow x 6) (* (pow (sqrt -1) 5) (pow (- (sqrt -1) 1) 2)))) (+ (/ 1/2 (* (pow x 2) (* (sqrt -1) (pow (- (sqrt -1) 1) 2)))) (+ (* 1/8 (/ 1 (* (pow x 4) (pow (- (sqrt -1) 1) 2)))) (+ (/ (* (- 1/8 (* 1/8 (/ 1 (pow (sqrt -1) 3)))) (- (* 1/2 (/ 1 (pow (- (sqrt -1) 1) 2))) (* 1/2 (/ 1 (* (sqrt -1) (pow (- (sqrt -1) 1) 2)))))) (* (pow x 6) (- (sqrt -1) 1))) (+ (/ (* (- (* 1/8 (/ 1 (* (pow (sqrt -1) 3) (pow (- (sqrt -1) 1) 2)))) (+ (* 1/8 (/ 1 (pow (- (sqrt -1) 1) 2))) (/ (* (- (* 1/2 (/ 1 (sqrt -1))) 1/2) (- (* 1/2 (/ 1 (pow (- (sqrt -1) 1) 2))) (* 1/2 (/ 1 (* (sqrt -1) (pow (- (sqrt -1) 1) 2)))))) (- (sqrt -1) 1)))) (- (* 1/2 (/ 1 (sqrt -1))) 1/2)) (* (pow x 6) (- (sqrt -1) 1))) (/ (* (- (* 1/2 (/ 1 (sqrt -1))) 1/2) (- (* 1/2 (/ 1 (pow (- (sqrt -1) 1) 2))) (* 1/2 (/ 1 (* (sqrt -1) (pow (- (sqrt -1) 1) 2)))))) (* (pow x 4) (- (sqrt -1) 1))))))))) x))
(* -1 (* x (sqrt -1)))
(* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
(* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
(* 2 (/ x (+ 1 (sqrt -1))))
(* -1 (* x (- (* 2 (/ (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) (* (pow x 2) (pow (+ 1 (sqrt -1)) 2)))) (* 2 (/ 1 (+ 1 (sqrt -1)))))))
(* -1 (* x (- (* -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)))) (pow x 4))) (+ (* -2 (/ (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) (* (pow x 2) (pow (+ 1 (sqrt -1)) 2)))) (* 2 (/ 1 (+ 1 (sqrt -1))))))))
(* -1 (* x (- (* -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))) (* -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)))))) (pow x 6))) (+ (* -2 (/ (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) (* (pow x 2) (pow (+ 1 (sqrt -1)) 2)))) (+ (* 2 (/ (+ 1/8 (* 1/8 (/ 1 (pow (sqrt -1) 3)))) (* (pow x 4) (pow (+ 1 (sqrt -1)) 2)))) (+ (* 2 (/ (pow (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) 2) (* (pow x 4) (pow (+ 1 (sqrt -1)) 3)))) (* 2 (/ 1 (+ 1 (sqrt -1))))))))))
(* -1 (* x (- (* 2 (/ (+ (* 1/2 (/ 1 (* (sqrt -1) (pow (+ 1 (sqrt -1)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (sqrt -1)) 2)))) (pow x 2))) (* 2 (/ 1 (+ 1 (sqrt -1)))))))
(* -1 (* x (- (* 2 (/ (+ (* -1 (/ (* (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) (+ (* 1/2 (/ 1 (* (sqrt -1) (pow (+ 1 (sqrt -1)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (sqrt -1)) 2))))) (+ 1 (sqrt -1)))) (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (pow (sqrt -1) 3)))) (pow (+ 1 (sqrt -1)) 2)))) (pow x 4))) (+ (* -2 (/ (+ (* 1/2 (/ 1 (* (sqrt -1) (pow (+ 1 (sqrt -1)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (sqrt -1)) 2)))) (pow x 2))) (* 2 (/ 1 (+ 1 (sqrt -1))))))))
(* -1 (* x (- (* 2 (/ (+ (* -1 (/ (* (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) (+ (* -1 (/ (* (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) (+ (* 1/2 (/ 1 (* (sqrt -1) (pow (+ 1 (sqrt -1)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (sqrt -1)) 2))))) (+ 1 (sqrt -1)))) (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (pow (sqrt -1) 3)))) (pow (+ 1 (sqrt -1)) 2))))) (+ 1 (sqrt -1)))) (+ (* 1/16 (/ 1 (* (pow (sqrt -1) 5) (pow (+ 1 (sqrt -1)) 2)))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt -1)) 2))) (/ (* (+ 1/8 (* 1/8 (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (/ 1 (* (sqrt -1) (pow (+ 1 (sqrt -1)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (sqrt -1)) 2))))) (+ 1 (sqrt -1)))))) (pow x 6))) (+ (* -2 (/ (+ (* -1 (/ (* (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) (+ (* 1/2 (/ 1 (* (sqrt -1) (pow (+ 1 (sqrt -1)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (sqrt -1)) 2))))) (+ 1 (sqrt -1)))) (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (pow (sqrt -1) 3)))) (pow (+ 1 (sqrt -1)) 2)))) (pow x 4))) (+ (* -2 (/ (+ (* 1/2 (/ 1 (* (sqrt -1) (pow (+ 1 (sqrt -1)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (sqrt -1)) 2)))) (pow x 2))) (* 2 (/ 1 (+ 1 (sqrt -1)))))))))
Outputs
(* -1 x)
(neg.f64 x)
(* x (- (* -1/8 (pow x 4)) 1))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64) #s(literal -1 binary64)) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (* -1/8 (pow x 4)) 1))
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64) #s(literal -1 binary64)) x) x)
(* (pow x 2) (- (* (pow x 4) (- (* -7/128 (pow x 4)) 1/8)) 1))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -7/128 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) x) x)
(* (pow x 2) (- (* (pow x 4) (- (* (pow x 4) (- (* -33/1024 (pow x 4)) 7/128)) 1/8)) 1))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -33/1024 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -7/128 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) x) x)
-1
#s(literal -1 binary64)
(- (* -1/8 (pow x 4)) 1)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64) #s(literal -1 binary64))
(/ -1 (pow x 2))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
(/ (- (* 1/8 (pow x 4)) 1) (pow x 2))
(/.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) x) x)
(/ (- (* (pow x 4) (+ 1/8 (* 5/128 (pow x 4)))) 1) (pow x 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) x) x)
(/ (- (* (pow x 4) (+ 1/8 (* (pow x 4) (+ 5/128 (* 21/1024 (pow x 4)))))) 1) (pow x 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 21/1024 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 5/128 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) x) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
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(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* -2 (pow x 2))
(*.f64 #s(literal -2 binary64) (*.f64 x x))
(* 2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(+ 1 (* 2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 1 binary64))
(+ 1 (* -1 (pow x 2)))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (pow x 2)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* -1/16 (pow x 4)) 1/4)))
(fma.f64 (fma.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 4) (- (* -1/32 (pow x 4)) 1/16)) 1/4)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/32 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/16 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(* -1/8 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/8 binary64))
(* -1 (* (pow x 5) (+ 1/8 (/ 1 (pow x 4)))))
(*.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* x (- (sqrt -1) 1))
(*.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) x)
(* x (- (+ (sqrt -1) (+ (/ 1/8 (pow x 4)) (/ 1/2 (* (pow x 2) (sqrt -1))))) (+ 1 (+ (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (pow x 2)))))))
(*.f64 (-.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x x))) (-.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64)))) x)
(* x (- (+ (sqrt -1) (+ (/ 1/16 (* (pow x 6) (pow (sqrt -1) 5))) (+ (/ 1/8 (pow x 4)) (/ 1/2 (* (pow x 2) (sqrt -1)))))) (+ 1 (+ (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))))))
(*.f64 (-.f64 (+.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x x))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) x)
(* -1/8 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64))
(* -1 (* (pow x 6) (+ 1/8 (/ 1 (pow x 4)))))
(*.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/8 binary64))) (pow.f64 x #s(literal 6 binary64)))
(* -1/8 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64))
(* -1 (* (pow x 4) (+ 1/8 (/ 1 (pow x 4)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64) #s(literal -1 binary64))
(/ 1 (* x (- (sqrt -1) 1)))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) x))
(/ (- (+ (/ 1/2 (* (pow x 2) (pow (- (sqrt -1) 1) 2))) (/ 1 (- (sqrt -1) 1))) (/ 1/2 (* (pow x 2) (* (sqrt -1) (pow (- (sqrt -1) 1) 2))))) x)
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(* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))
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(* 2 (/ x (+ 1 (sqrt -1))))
(*.f64 (/.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))
(* -1 (* x (- (* 2 (/ (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) (* (pow x 2) (pow (+ 1 (sqrt -1)) 2)))) (* 2 (/ 1 (+ 1 (sqrt -1)))))))
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(* -1 (* x (- (* -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))) (* -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)))))) (pow x 6))) (+ (* -2 (/ (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) (* (pow x 2) (pow (+ 1 (sqrt -1)) 2)))) (+ (* 2 (/ (+ 1/8 (* 1/8 (/ 1 (pow (sqrt -1) 3)))) (* (pow x 4) (pow (+ 1 (sqrt -1)) 2)))) (+ (* 2 (/ (pow (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) 2) (* (pow x 4) (pow (+ 1 (sqrt -1)) 3)))) (* 2 (/ 1 (+ 1 (sqrt -1))))))))))
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(* -1 (* x (- (* 2 (/ (+ (* 1/2 (/ 1 (* (sqrt -1) (pow (+ 1 (sqrt -1)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (sqrt -1)) 2)))) (pow x 2))) (* 2 (/ 1 (+ 1 (sqrt -1)))))))
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(* -1 (* x (- (* 2 (/ (+ (* -1 (/ (* (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) (+ (* 1/2 (/ 1 (* (sqrt -1) (pow (+ 1 (sqrt -1)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (sqrt -1)) 2))))) (+ 1 (sqrt -1)))) (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (pow (sqrt -1) 3)))) (pow (+ 1 (sqrt -1)) 2)))) (pow x 4))) (+ (* -2 (/ (+ (* 1/2 (/ 1 (* (sqrt -1) (pow (+ 1 (sqrt -1)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (sqrt -1)) 2)))) (pow x 2))) (* 2 (/ 1 (+ 1 (sqrt -1))))))))
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(* -1 (* x (- (* 2 (/ (+ (* -1 (/ (* (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) (+ (* -1 (/ (* (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) (+ (* 1/2 (/ 1 (* (sqrt -1) (pow (+ 1 (sqrt -1)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (sqrt -1)) 2))))) (+ 1 (sqrt -1)))) (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (pow (sqrt -1) 3)))) (pow (+ 1 (sqrt -1)) 2))))) (+ 1 (sqrt -1)))) (+ (* 1/16 (/ 1 (* (pow (sqrt -1) 5) (pow (+ 1 (sqrt -1)) 2)))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt -1)) 2))) (/ (* (+ 1/8 (* 1/8 (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (/ 1 (* (sqrt -1) (pow (+ 1 (sqrt -1)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (sqrt -1)) 2))))) (+ 1 (sqrt -1)))))) (pow x 6))) (+ (* -2 (/ (+ (* -1 (/ (* (+ 1/2 (* 1/2 (/ 1 (sqrt -1)))) (+ (* 1/2 (/ 1 (* (sqrt -1) (pow (+ 1 (sqrt -1)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (sqrt -1)) 2))))) (+ 1 (sqrt -1)))) (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (pow (sqrt -1) 3)))) (pow (+ 1 (sqrt -1)) 2)))) (pow x 4))) (+ (* -2 (/ (+ (* 1/2 (/ 1 (* (sqrt -1) (pow (+ 1 (sqrt -1)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (sqrt -1)) 2)))) (pow x 2))) (* 2 (/ 1 (+ 1 (sqrt -1)))))))))
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rewrite244.0ms (3.6%)

Memory
24.5MiB live, 105.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039246
066194
1273193
22025193
08762190
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 1 591
Calls
Call 1
Inputs
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64) #s(literal -1 binary64)) x)
#s(approx (- (sqrt (- 1 (pow x 2))) (sqrt (+ 1 (pow x 2)))) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64) #s(literal -1 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64) #s(literal -1 binary64)) x) x)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64) #s(literal -1 binary64))
#s(approx (- (sqrt (- 1 (pow x 2))) (sqrt (+ 1 (pow x 2)))) (*.f64 (neg.f64 x) x))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 x x #s(literal 1 binary64)))))
(fma.f64 x x (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (neg.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
(pow.f64 x #s(literal 4 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
Outputs
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64) #s(literal -1 binary64)) x)
(*.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64)) x) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64)) x) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64)) x) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64)) x) (neg.f64 x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64))) (*.f64 x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64))) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64))) (neg.f64 x)))))
(/.f64 (+.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64)) x) #s(literal 3 binary64))) (fma.f64 (neg.f64 x) (neg.f64 x) (-.f64 (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64)) x) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64)) x)) (*.f64 (neg.f64 x) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64)) x)))))
(/.f64 (+.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64))) #s(literal 3 binary64))) (fma.f64 (neg.f64 x) (neg.f64 x) (-.f64 (*.f64 (*.f64 x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64))) (*.f64 x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64)))) (*.f64 (neg.f64 x) (*.f64 x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal -1 binary64)) x)) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal -1/512 binary64) #s(literal -1 binary64)) x)) (neg.f64 (-.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal -1/512 binary64) #s(literal -1 binary64)))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal -1 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal -1/512 binary64) #s(literal -1 binary64)) x) (-.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64))))
(/.f64 (*.f64 x (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)))
(/.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal -1/512 binary64) #s(literal -1 binary64))) (-.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64))))
(fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64)) x (neg.f64 x))
(fma.f64 #s(literal -1 binary64) x (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64)) x))
(fma.f64 #s(literal -1 binary64) x (*.f64 x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64))))
(fma.f64 x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64)) (neg.f64 x))
(fma.f64 x #s(literal -1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64)) x))
(fma.f64 x #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64))))
(+.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64)) x) (neg.f64 x))
(+.f64 (*.f64 x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64))) (neg.f64 x))
(+.f64 (neg.f64 x) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64)) x))
(+.f64 (neg.f64 x) (*.f64 x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64))))
#s(approx (- (sqrt (- 1 (pow x 2))) (sqrt (+ 1 (pow x 2)))) (*.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64) #s(literal -1 binary64))))
(*.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64) #s(literal -1 binary64)) x) x)
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64) #s(literal -1 binary64)) (*.f64 x x))
(*.f64 x (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64) #s(literal -1 binary64)) x))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal -1 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal -1/512 binary64) #s(literal -1 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal -1 binary64)) (*.f64 x x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal -1/512 binary64) #s(literal -1 binary64)) (*.f64 x x)) (-.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64))))
(*.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal -1/512 binary64) #s(literal -1 binary64)) (pow.f64 (-.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64))) (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal -1/512 binary64) #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 8 binary64))))) (neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal -1/512 binary64) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 8 binary64)))) (-.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal -1/512 binary64) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 8 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal -1/512 binary64) #s(literal -1 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)))))
(/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal -1/512 binary64) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 8 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal -1/512 binary64) #s(literal -1 binary64)) (-.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64))) (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal -1/512 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64))) (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal -1/512 binary64) #s(literal -1 binary64)))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -1 binary64))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64)))) (/.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 8 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64)))))
(-.f64 (/.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 8 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64)))
#s(approx (- (sqrt (- 1 (pow x 2))) (sqrt (+ 1 (pow x 2)))) (*.f64 (neg.f64 x) x))
(*.f64 (neg.f64 x) x)
(*.f64 #s(literal -1 binary64) (*.f64 x x))
(*.f64 x (neg.f64 x))
(neg.f64 (*.f64 x x))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 #s(literal 0 binary64) (neg.f64 x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) x)) (neg.f64 (+.f64 #s(literal 0 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))
(/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x))
(neg.f64 x)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 0 binary64) x)))
(-.f64 #s(literal 0 binary64) x)
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 1 binary64))) (+.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (+.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
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(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))))
(pow.f64 (/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64))) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64))) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))))
(/.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))))
(/.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) #s(literal -1 binary64)))

eval176.0ms (2.6%)

Memory
-15.3MiB live, 131.4MiB allocated
Compiler

Compiled 62 362 to 4 663 computations (92.5% saved)

prune27.0ms (0.4%)

Memory
52.1MiB live, 52.1MiB allocated
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1 39831 401
Fresh213
Picked415
Done000
Total1 40451 409
Accuracy
100.0%
Counts
1 409 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.1%
(-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
100.0%
(*.f64 #s(approx (neg (- 1 (+ (* x x) (+ (* x x) 1)))) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))))
99.5%
#s(approx (- (sqrt (- 1 (pow x 2))) (sqrt (+ 1 (pow x 2)))) (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64)) x (neg.f64 x)) x))
99.5%
#s(approx (- (sqrt (- 1 (pow x 2))) (sqrt (+ 1 (pow x 2)))) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/8 binary64) #s(literal -1 binary64)) x) x))
✓99.2%
#s(approx (- (sqrt (- 1 (pow x 2))) (sqrt (+ 1 (pow x 2)))) (*.f64 (neg.f64 x) x))
Compiler

Compiled 415 to 141 computations (66% saved)

regimes8.0ms (0.1%)

Memory
6.7MiB live, 6.7MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (- (sqrt (- 1 (pow x 2))) (sqrt (+ 1 (pow x 2)))) (*.f64 (neg.f64 x) x))
#s(approx (- (sqrt (- 1 (pow x 2))) (sqrt (+ 1 (pow x 2)))) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/8 binary64) #s(literal -1 binary64)) x) x))
(-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 x x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(*.f64 #s(approx (neg (- 1 (+ (* x x) (+ (* x x) 1)))) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
#s(approx (- (sqrt (- 1 (pow x 2))) (sqrt (+ 1 (pow x 2)))) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64) #s(literal -1 binary64)) x) x))
#s(approx (- (sqrt (- 1 (pow x 2))) (sqrt (+ 1 (pow x 2)))) (*.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64)) x (neg.f64 x)) x))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (neg.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
Outputs
(*.f64 #s(approx (neg (- 1 (+ (* x x) (+ (* x x) 1)))) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))))
Calls

3 calls:

3.0ms
x
3.0ms
(pow.f64 x #s(literal 2 binary64))
2.0ms
(-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
100.0%1(pow.f64 x #s(literal 2 binary64))
Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes5.0ms (0.1%)

Memory
4.8MiB live, 4.8MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (- (sqrt (- 1 (pow x 2))) (sqrt (+ 1 (pow x 2)))) (*.f64 (neg.f64 x) x))
#s(approx (- (sqrt (- 1 (pow x 2))) (sqrt (+ 1 (pow x 2)))) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/8 binary64) #s(literal -1 binary64)) x) x))
(-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 x x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
Outputs
#s(approx (- (sqrt (- 1 (pow x 2))) (sqrt (+ 1 (pow x 2)))) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/8 binary64) #s(literal -1 binary64)) x) x))
Calls

3 calls:

2.0ms
x
1.0ms
(pow.f64 x #s(literal 2 binary64))
1.0ms
(-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
99.5%1x
99.5%1(-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
99.5%1(pow.f64 x #s(literal 2 binary64))
Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes3.0ms (0%)

Memory
3.6MiB live, 3.6MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (sqrt (- 1 (pow x 2))) (sqrt (+ 1 (pow x 2)))) (*.f64 (neg.f64 x) x))
Outputs
#s(approx (- (sqrt (- 1 (pow x 2))) (sqrt (+ 1 (pow x 2)))) (*.f64 (neg.f64 x) x))
Calls

3 calls:

1.0ms
x
1.0ms
(pow.f64 x #s(literal 2 binary64))
1.0ms
(-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
99.2%1x
99.2%1(-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
99.2%1(pow.f64 x #s(literal 2 binary64))
Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify106.0ms (1.6%)

Memory
-78.3MiB live, 16.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03580
17078
214376
332972
483272
5200572
6306372
7411572
8602572
9776872
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 #s(approx (neg (- 1 (+ (* x x) (+ (* x x) 1)))) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))))
#s(approx (- (sqrt (- 1 (pow x 2))) (sqrt (+ 1 (pow x 2)))) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/8 binary64) #s(literal -1 binary64)) x) x))
#s(approx (- (sqrt (- 1 (pow x 2))) (sqrt (+ 1 (pow x 2)))) (*.f64 (neg.f64 x) x))
Outputs
(*.f64 #s(approx (neg (- 1 (+ (* x x) (+ (* x x) 1)))) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(*.f64 #s(approx (neg (- 1 (+ (* x x) (+ (* x x) 1)))) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
#s(approx (- (sqrt (- 1 (pow x 2))) (sqrt (+ 1 (pow x 2)))) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/8 binary64) #s(literal -1 binary64)) x) x))
#s(approx (- (sqrt (- 1 (pow x 2))) (sqrt (+ 1 (pow x 2)))) (*.f64 (neg.f64 x) x))

soundness585.0ms (8.6%)

Memory
15.1MiB live, 15.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0110520
1282518
2864490
33377473
08369447
0929
01529
16129
241529
3608429
0837727
039246
066194
1273193
22025193
08762190
03663340
111233208
242553052
084172989
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 151 to 86 computations (43% saved)

preprocess21.0ms (0.3%)

Memory
14.3MiB live, 14.3MiB allocated
Compiler

Compiled 184 to 90 computations (51.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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