tanhf (example 3.4)

Time bar (total: 4.9s)

analyze152.0ms (3.1%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
25%25%75%0%0%0%0%3
37.5%37.5%62.5%0%0%0%0%4
43.8%43.7%56.2%0%0%0%0%5
46.9%46.9%53.1%0%0%0%0%6
48.4%48.4%51.5%0%0%0%0%7
49.2%49.2%50.8%0%0%0%0%8
49.6%49.6%50.4%0%0%0%0%9
49.8%49.8%50.2%0%0%0%0%10
49.9%49.9%50.1%0%0%0%0%11
50%49.9%50%0%0%0%0%12
Compiler

Compiled 9 to 7 computations (22.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
ival-sin: 35.0ms (50.4% of total)
ival-cos: 14.0ms (20.2% of total)
ival-sub: 12.0ms (17.3% of total)
ival-div: 6.0ms (8.6% of total)
const: 2.0ms (2.9% of total)
backward-pass: 1.0ms (1.4% of total)

sample2.0s (39.9%)

Results
818.0ms1988×2valid
451.0ms4196×0valid
366.0ms2070×1valid
1.0ms2×3valid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-cos: 827.0ms (63.6% of total)
ival-sin: 176.0ms (13.5% of total)
ival-div: 104.0ms (8% of total)
ival-sub: 95.0ms (7.3% of total)
backward-pass: 82.0ms (6.3% of total)
const: 16.0ms (1.2% of total)
Bogosity

preprocess57.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
199×fma-define
83×fma-neg
47×times-frac
47×div-sub
37×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01760
14660
28556
319156
447056
581556
698156
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (neg.f64 x))) (sin.f64 (neg.f64 x)))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (neg.f64 x))) (sin.f64 (neg.f64 x))))
Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (neg.f64 x))) (sin.f64 (neg.f64 x)))
(tan.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64)))
(neg.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))))
(tan.f64 (*.f64 x #s(literal -1/2 binary64)))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (neg.f64 x))) (sin.f64 (neg.f64 x))))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
Symmetry

(negabs x)

explain140.0ms (2.9%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
781(3.3290818238833905e-162)0-(-.f64 #s(literal 1 binary64) (cos.f64 x))
550-4(4.379475356530316e-158)(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
00-0-x
00-0-(sin.f64 x)
00-0-#s(literal 1 binary64)
00-0-(cos.f64 x)
Results
46.0ms108×2valid
33.0ms136×1valid
32.0ms268×0valid
Compiler

Compiled 46 to 20 computations (56.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 83.0ms
ival-cos: 45.0ms (54.1% of total)
ival-sub: 15.0ms (18% of total)
ival-sin: 11.0ms (13.2% of total)
ival-div: 6.0ms (7.2% of total)
backward-pass: 6.0ms (7.2% of total)
const: 1.0ms (1.2% of total)

eval0.0ms (0%)

Compiler

Compiled 9 to 7 computations (22.2% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶54.0%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
▶100.0%
(tan.f64 (/.f64 x #s(literal 2 binary64)))
Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify146.0ms (3%)

Algorithm
1×egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sin.f64 x)
✓cost-diff0
(cos.f64 x)
✓cost-diff0
(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓cost-diff6528
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
✓cost-diff0
(/.f64 x #s(literal 2 binary64))
✓cost-diff0
(tan.f64 (/.f64 x #s(literal 2 binary64)))
Rules
166×fma-define
123×fma-neg
39×div-sub
32×times-frac
31×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01478
12478
23078
34378
46678
59378
613478
721878
839278
967778
1084078
1184778
1285578
1386178
1486778
1587878
1688578
1788678
Stop Event
1×saturated
Calls
Call 1
Inputs
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(sin.f64 x)
Outputs
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(sin.f64 x)

localize92.0ms (1.9%)

Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(cos.f64 x)
✓accuracy100.0%
(sin.f64 x)
✓accuracy80.4%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
✓accuracy74.0%
(-.f64 #s(literal 1 binary64) (cos.f64 x))
✓accuracy100.0%
(/.f64 x #s(literal 2 binary64))
✓accuracy100.0%
(tan.f64 (/.f64 x #s(literal 2 binary64)))
Results
34.0ms134×0valid
27.0ms54×2valid
15.0ms68×1valid
Compiler

Compiled 28 to 10 computations (64.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-cos: 21.0ms (40.9% of total)
ival-sin: 10.0ms (19.5% of total)
ival-div: 6.0ms (11.7% of total)
ival-tan: 6.0ms (11.7% of total)
backward-pass: 4.0ms (7.8% of total)
ival-sub: 3.0ms (5.8% of total)
const: 1.0ms (1.9% of total)

series10.0ms (0.2%)

Counts
6 → 40
Calls
Call 1
Inputs
#<alt (tan.f64 (/.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 x #s(literal 2 binary64))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))>
#<alt (-.f64 #s(literal 1 binary64) (cos.f64 x))>
#<alt (cos.f64 x)>
#<alt (sin.f64 x)>
Outputs
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/240 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (*.f64 #s(literal 17/40320 binary64) (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/240 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (*.f64 #s(literal 17/40320 binary64) (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))>
Calls

18 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(/ (- 1 (cos x)) (sin x))
1.0ms
x
@inf
(tan (/ x 2))
1.0ms
x
@inf
(/ (- 1 (cos x)) (sin x))
1.0ms
x
@0
(tan (/ x 2))
1.0ms
x
@inf
(/ x 2)

rewrite323.0ms (6.6%)

Algorithm
1×batch-egg-rewrite
Rules
832×log1p-expm1-u
832×expm1-log1p-u
394×log-prod
232×prod-diff
147×log-div
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01468
116668
2217268
Stop Event
1×node limit
Counts
6 → 343
Calls
Call 1
Inputs
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(sin.f64 x)
Outputs
(+.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(+.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x)))) (/.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(+.f64 #s(literal 0 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x))) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (cos.f64 x)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x))) (cos.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (cos.f64 x))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (neg.f64 (*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (sin.f64 x)) (sqrt.f64 (cos.f64 x))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (sin.f64 x))) (sqrt.f64 (cos.f64 x)) (*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (sin.f64 x)) (sqrt.f64 (cos.f64 x)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (neg.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x))))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (neg.f64 (*.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64))) (*.f64 (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (neg.f64 (*.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (sin.f64 x)))))) (fma.f64 (neg.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (sin.f64 x))) (*.f64 (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (sin.f64 x))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64))) (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (neg.f64 (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (sqrt.f64 (sin.f64 x)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (sqrt.f64 (sin.f64 x))) (*.f64 (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (sqrt.f64 (sin.f64 x))))))
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(*.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
(*.f64 (sqrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 #s(literal 1 binary64) (sin.f64 x))))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (sin.f64 x))) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (cbrt.f64 (sin.f64 x))))
(pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (cos.f64 (/.f64 x #s(literal -2 binary64))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(neg.f64 (tan.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64))))
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x)))
(neg.f64 (tan.f64 (/.f64 x #s(literal -2 binary64))))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x))) (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x))) (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(+.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))
(+.f64 (log.f64 (exp.f64 #s(literal 1 binary64))) (neg.f64 (cos.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (cbrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (neg.f64 (cos.f64 x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))
(pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (cos.f64 x) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(exp.f64 (log1p.f64 (neg.f64 (cos.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (cos.f64 x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 (neg.f64 (cos.f64 x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log1p.f64 (neg.f64 (cos.f64 x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (neg.f64 (cos.f64 x)))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (cos.f64 x))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (cos.f64 x)) (neg.f64 (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (cos.f64 x))) (cbrt.f64 (neg.f64 (cos.f64 x)))) (cbrt.f64 (neg.f64 (cos.f64 x))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (cos.f64 x))) (sqrt.f64 (neg.f64 (cos.f64 x))) #s(literal 1 binary64))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 x)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) #s(literal 1 binary64))
(+.f64 #s(literal 0 binary64) (cos.f64 x))
(+.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 x))) (cos.f64 #s(literal 1 binary64))) (*.f64 (sin.f64 (exp.f64 (log1p.f64 x))) (sin.f64 #s(literal 1 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) (cbrt.f64 (exp.f64 (cos.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 (cos.f64 x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 x)))
(*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)))
(pow.f64 (cos.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 x))))
(cbrt.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (cos.f64 x)))
(log1p.f64 (expm1.f64 (cos.f64 x)))
(exp.f64 (log.f64 (cos.f64 x)))
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (cos.f64 x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 x))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (sin.f64 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) (cbrt.f64 (exp.f64 (sin.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) #s(literal 1 binary64))
(-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 x))) (cos.f64 #s(literal 1 binary64))) (*.f64 (cos.f64 (exp.f64 (log1p.f64 x))) (sin.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (sin.f64 x))
(*.f64 (sin.f64 x) #s(literal 1 binary64))
(*.f64 (sin.f64 x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 x)))
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))
(pow.f64 (sin.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (sin.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 x))))
(cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sin.f64 x)))
(log1p.f64 (expm1.f64 (sin.f64 x)))
(exp.f64 (log.f64 (sin.f64 x)))
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (sin.f64 x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 x))) #s(literal 2 binary64)))

simplify338.0ms (6.9%)

Algorithm
1×egg-herbie
Rules
442×distribute-lft-neg-in
358×fma-neg
286×div-sub
236×times-frac
233×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
068520249
1156614418
251357576
Stop Event
1×node limit
Counts
383 → 340
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/240 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (*.f64 #s(literal 17/40320 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
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(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
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#s(literal 1 binary64)
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x
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(fma.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (cos.f64 x))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (cos.f64 x)) (neg.f64 (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (cos.f64 x))) (cbrt.f64 (neg.f64 (cos.f64 x)))) (cbrt.f64 (neg.f64 (cos.f64 x))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (neg.f64 (cos.f64 x))) (sqrt.f64 (neg.f64 (cos.f64 x))) #s(literal 1 binary64))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 x)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) #s(literal 1 binary64))
(+.f64 #s(literal 0 binary64) (cos.f64 x))
(+.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 x))) (cos.f64 #s(literal 1 binary64))) (*.f64 (sin.f64 (exp.f64 (log1p.f64 x))) (sin.f64 #s(literal 1 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) (cbrt.f64 (exp.f64 (cos.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 (cos.f64 x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 x)))
(*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)))
(pow.f64 (cos.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 x))))
(cbrt.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (cos.f64 x)))
(log1p.f64 (expm1.f64 (cos.f64 x)))
(exp.f64 (log.f64 (cos.f64 x)))
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (cos.f64 x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 x))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (sin.f64 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) (cbrt.f64 (exp.f64 (sin.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) #s(literal 1 binary64))
(-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 x))) (cos.f64 #s(literal 1 binary64))) (*.f64 (cos.f64 (exp.f64 (log1p.f64 x))) (sin.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (sin.f64 x))
(*.f64 (sin.f64 x) #s(literal 1 binary64))
(*.f64 (sin.f64 x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 x)))
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))
(pow.f64 (sin.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (sin.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 x))))
(cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sin.f64 x)))
(log1p.f64 (expm1.f64 (sin.f64 x)))
(exp.f64 (log.f64 (sin.f64 x)))
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (sin.f64 x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 x))) #s(literal 2 binary64)))
Outputs
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/240 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/240 binary64))))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (*.f64 #s(literal 17/40320 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 17/40320 binary64))))))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/240 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/240 binary64))))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (*.f64 #s(literal 17/40320 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 17/40320 binary64))))))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/24 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 #s(literal -1/40320 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64))) #s(literal -1/24 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/40320 binary64) #s(literal 1/720 binary64)) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/720 binary64))) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64))))
(+.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64)))))
(+.f64 x (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)))))
(+.f64 x (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(+.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x)))) (/.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(+.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 (/.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (sin.f64 x))) (/.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(+.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))))
(+.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 (cos.f64 x) (sin.f64 x))))
(+.f64 #s(literal 0 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(+.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x))) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (cos.f64 x)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x))) (cos.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (cos.f64 x))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (neg.f64 (/.f64 (cos.f64 x) (sin.f64 x)))) (fma.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (cos.f64 x) (/.f64 (cos.f64 x) (sin.f64 x))))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) (sin.f64 x))) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
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(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(fma.f64 (sqrt.f64 (neg.f64 (cos.f64 x))) (sqrt.f64 (neg.f64 (cos.f64 x))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(+.f64 #s(literal 0 binary64) (cos.f64 x))
(cos.f64 x)
(+.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 x))) (cos.f64 #s(literal 1 binary64))) (*.f64 (sin.f64 (exp.f64 (log1p.f64 x))) (sin.f64 #s(literal 1 binary64))))
(fma.f64 (cos.f64 (exp.f64 (log1p.f64 x))) (cos.f64 #s(literal 1 binary64)) (*.f64 (sin.f64 (exp.f64 (log1p.f64 x))) (sin.f64 #s(literal 1 binary64))))
(fma.f64 (cos.f64 (+.f64 x #s(literal 1 binary64))) (cos.f64 #s(literal 1 binary64)) (*.f64 (sin.f64 (+.f64 x #s(literal 1 binary64))) (sin.f64 #s(literal 1 binary64))))
(fma.f64 (sin.f64 (+.f64 x #s(literal 1 binary64))) (sin.f64 #s(literal 1 binary64)) (*.f64 (cos.f64 (+.f64 x #s(literal 1 binary64))) (cos.f64 #s(literal 1 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) (cbrt.f64 (exp.f64 (cos.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(cos.f64 x)
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(*.f64 (cos.f64 x) #s(literal 1 binary64))
(cos.f64 x)
(*.f64 (cos.f64 x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(cos.f64 x)
(*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)))
(cos.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 x)))
(cos.f64 x)
(*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)))
(cos.f64 x)
(pow.f64 (cos.f64 x) #s(literal 1 binary64))
(cos.f64 x)
(pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 3 binary64))
(cos.f64 x)
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(cos.f64 x)
(pow.f64 (sqrt.f64 (cos.f64 x)) #s(literal 2 binary64))
(cos.f64 x)
(sqrt.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(cos.f64 x)
(log.f64 (exp.f64 (cos.f64 x)))
(cos.f64 x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 x))))
(cos.f64 x)
(cbrt.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)))
(cos.f64 x)
(expm1.f64 (log1p.f64 (cos.f64 x)))
(cos.f64 x)
(log1p.f64 (expm1.f64 (cos.f64 x)))
(cos.f64 x)
(exp.f64 (log.f64 (cos.f64 x)))
(cos.f64 x)
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1 binary64)))
(cos.f64 x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 x))) #s(literal 3 binary64)))
(cos.f64 x)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (cos.f64 x))) #s(literal 1/3 binary64)))
(cos.f64 x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 x))) #s(literal 2 binary64)))
(cos.f64 x)
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64))
(cos.f64 x)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x)))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64))
(cos.f64 x)
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -1 binary64))
(cos.f64 x)
(+.f64 #s(literal 0 binary64) (sin.f64 x))
(sin.f64 x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) (cbrt.f64 (exp.f64 (sin.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sin.f64 x)))
(-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 x))) (cos.f64 #s(literal 1 binary64))) (*.f64 (cos.f64 (exp.f64 (log1p.f64 x))) (sin.f64 #s(literal 1 binary64))))
(-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 x))) (cos.f64 #s(literal 1 binary64))) (*.f64 (sin.f64 #s(literal 1 binary64)) (cos.f64 (exp.f64 (log1p.f64 x)))))
(-.f64 (*.f64 (sin.f64 (+.f64 x #s(literal 1 binary64))) (cos.f64 #s(literal 1 binary64))) (*.f64 (sin.f64 #s(literal 1 binary64)) (cos.f64 (+.f64 x #s(literal 1 binary64)))))
(*.f64 #s(literal 1 binary64) (sin.f64 x))
(sin.f64 x)
(*.f64 (sin.f64 x) #s(literal 1 binary64))
(sin.f64 x)
(*.f64 (sin.f64 x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(sin.f64 x)
(*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)))
(sin.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 x)))
(sin.f64 x)
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))
(sin.f64 x)
(pow.f64 (sin.f64 x) #s(literal 1 binary64))
(sin.f64 x)
(pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 3 binary64))
(sin.f64 x)
(pow.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sin.f64 x)
(pow.f64 (sqrt.f64 (sin.f64 x)) #s(literal 2 binary64))
(sin.f64 x)
(sqrt.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(sin.f64 x)
(log.f64 (exp.f64 (sin.f64 x)))
(sin.f64 x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 x))))
(sin.f64 x)
(cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))
(sin.f64 x)
(expm1.f64 (log1p.f64 (sin.f64 x)))
(log1p.f64 (expm1.f64 (sin.f64 x)))
(sin.f64 x)
(exp.f64 (log.f64 (sin.f64 x)))
(sin.f64 x)
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64)))
(sin.f64 x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 x))) #s(literal 3 binary64)))
(sin.f64 x)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (sin.f64 x))) #s(literal 1/3 binary64)))
(sin.f64 x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 x))) #s(literal 2 binary64)))
(sin.f64 x)

eval76.0ms (1.5%)

Compiler

Compiled 5771 to 1105 computations (80.9% saved)

prune114.0ms (2.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New3382340
Fresh000
Picked112
Done000
Total3393342
Accuracy
100.0%
Counts
342 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
▶49.5%
(*.f64 #s(literal 1/2 binary64) x)
✓100.0%
(tan.f64 (/.f64 x #s(literal 2 binary64)))
Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify8.0ms (0.2%)

Algorithm
1×egg-herbie
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x #s(literal 1/2 binary64))
✓cost-diff0
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
✓cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
Rules
3×1-exp
3×*-commutative
2×associate-/r/
2×associate-/r*
1×remove-double-div
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01379
12079
22379
32579
42679
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
Outputs
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
x
#s(literal 1/2 binary64)

localize38.0ms (0.8%)

Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 x #s(literal 1/2 binary64))
✓accuracy100.0%
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) x)
Results
27.0ms256×0valid
Compiler

Compiled 31 to 9 computations (71% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-tan: 6.0ms (40.9% of total)
ival-mult: 5.0ms (34.1% of total)
ival-div: 4.0ms (27.2% of total)
const: 1.0ms (6.8% of total)
backward-pass: 0.0ms (0% of total)

series6.0ms (0.1%)

Counts
5 → 48
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))>
#<alt (tan.f64 (*.f64 x #s(literal 1/2 binary64)))>
#<alt (*.f64 x #s(literal 1/2 binary64))>
Outputs
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/240 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (*.f64 #s(literal 17/40320 binary64) (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 #s(literal 2 binary64) x)>
#<alt (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))) x)>
#<alt (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/360 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))) x)>
#<alt (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/15120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/360 binary64))) #s(literal 1/6 binary64)))) x)>
#<alt (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/240 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (*.f64 #s(literal 17/40320 binary64) (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
Calls

15 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/ 1 (tan (* x 1/2)))
1.0ms
x
@-inf
(/ 1 (tan (* x 1/2)))
0.0ms
x
@0
(/ 1 (tan (* x 1/2)))
0.0ms
x
@-inf
(/ 1 (/ 1 (tan (* x 1/2))))
0.0ms
x
@0
(/ 1 (/ 1 (tan (* x 1/2))))

rewrite95.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
435×unpow-prod-down
415×log1p-expm1-u
415×expm1-log1p-u
400×add-exp-log
379×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01368
114668
2128268
Stop Event
1×node limit
Counts
5 → 203
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 x)))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 x)))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 x))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 1/2 binary64) x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)))) (sqrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
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(*.f64 (pow.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 (cbrt.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (sqrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal -1 binary64))) (cbrt.f64 (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -3 binary64))
(pow.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -3 binary64)) #s(literal -1/3 binary64))
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (E.f64) (log.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(pow.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))) (sqrt.f64 (log.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(neg.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/2 binary64)) (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -3/2 binary64))))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(exp.f64 (log.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 x)))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 x)))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 x))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 1/2 binary64) x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)))) (sqrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (sqrt.f64 (exp.f64 x)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) x)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))

simplify144.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
796×times-frac
741×fma-neg
447×associate-*r*
447×fma-define
369×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034212884908516
159712884908390
2144612884908366
3694112884908366
Stop Event
1×node limit
Counts
251 → 169
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/240 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (*.f64 #s(literal 17/40320 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 2 binary64) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/360 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/15120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/360 binary64))) #s(literal 1/6 binary64)))) x)
(/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/240 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (*.f64 #s(literal 17/40320 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 x)))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 x)))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 x))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 1/2 binary64) x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)))) (sqrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (sqrt.f64 (exp.f64 x)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) x)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))))
(-.f64 (+.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (log.f64 (E.f64)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 #s(literal -1 binary64) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (sqrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (sqrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (sqrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (pow.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
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(pow.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -3 binary64)) #s(literal -1/3 binary64))
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (E.f64) (log.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(pow.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))) (sqrt.f64 (log.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(neg.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/2 binary64)) (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -3/2 binary64))))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(exp.f64 (log.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 x)))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 x)))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 x))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 1/2 binary64) x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)))) (sqrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (sqrt.f64 (exp.f64 x)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) x)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))
Outputs
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/240 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/240 binary64))))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/240 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) x (fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/240 binary64) (pow.f64 x #s(literal 5 binary64)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (*.f64 #s(literal 17/40320 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 17/40320 binary64))))))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/240 binary64) (fma.f64 #s(literal 17/40320 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 2 binary64) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64))) x)
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal 2 binary64)) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/360 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/360 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64)))) x)
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/360 binary64) #s(literal -1/6 binary64)) #s(literal 2 binary64)) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/15120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/360 binary64))) #s(literal 1/6 binary64)))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/15120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/360 binary64)) #s(literal -1/6 binary64)))) x)
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/15120 binary64) #s(literal -1/360 binary64)) #s(literal -1/6 binary64)) #s(literal 2 binary64)) x)
(/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/240 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/240 binary64))))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/240 binary64) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/240 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) x (fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/240 binary64) (pow.f64 x #s(literal 5 binary64)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (*.f64 #s(literal 17/40320 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/240 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 17/40320 binary64))))))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 17/40320 binary64) #s(literal 1/240 binary64)) #s(literal 1/24 binary64)) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/240 binary64) (fma.f64 #s(literal 17/40320 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 x)))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 x)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 x)))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 x))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)))) (sqrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (sqrt.f64 (exp.f64 x)))
(*.f64 #s(literal 1/2 binary64) x)
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) x)
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) x)
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(+.f64 #s(literal 0 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))))
(-.f64 (+.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (log.f64 (E.f64)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal -1 binary64) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
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(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)))) (sqrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (sqrt.f64 (exp.f64 x)))
(*.f64 #s(literal 1/2 binary64) x)
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) x)
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) x)
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)

eval22.0ms (0.4%)

Compiler

Compiled 2055 to 511 computations (75.1% saved)

prune30.0ms (0.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1681169
Fresh000
Picked022
Done011
Total1684172
Accuracy
100.0%
Counts
172 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶49.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
✓99.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
✓49.5%
(*.f64 #s(literal 1/2 binary64) x)
✓100.0%
(tan.f64 (/.f64 x #s(literal 2 binary64)))
Compiler

Compiled 24 to 19 computations (20.8% saved)

simplify12.0ms (0.2%)

Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 2 binary64) x)
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
Rules
3×1-exp
1×*-commutative
1×associate-/r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0926
11826
21926
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x

localize20.0ms (0.4%)

Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 #s(literal 2 binary64) x)
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
Results
14.0ms256×0valid
Compiler

Compiled 13 to 6 computations (53.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 6.0ms (91.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series2.0ms (0%)

Counts
2 → 12
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))>
#<alt (/.f64 #s(literal 2 binary64) x)>
Outputs
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/ 2 x)
0.0ms
x
@inf
(/ 2 x)
0.0ms
x
@-inf
(/ 2 x)
0.0ms
x
@0
(/ 1 (/ 2 x))
0.0ms
x
@inf
(/ 1 (/ 2 x))

rewrite135.0ms (2.8%)

Algorithm
1×batch-egg-rewrite
Rules
349×unpow-prod-down
332×log1p-expm1-u
332×expm1-log1p-u
320×add-exp-log
305×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0920
18720
2102320
Stop Event
1×node limit
Counts
2 → 128
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 x)))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 x)))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 x))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 x (log.f64 (exp.f64 #s(literal 1/2 binary64))))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 (E.f64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)))
(*.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (pow.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1/2 binary64) (neg.f64 x))
(*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -3/2 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) x)
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) x)
(*.f64 (exp.f64 (log.f64 #s(literal 1/2 binary64))) x)
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -5/2 binary64))) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) (cbrt.f64 x))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4 binary64))) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -3/2 binary64))) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 5 binary64))) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 x))
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 x #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (sqrt.f64 (exp.f64 x)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 2 binary64) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 2 binary64) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 2 binary64) x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) x) (log.f64 (E.f64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x)) (cbrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x)) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal -1 binary64)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 2 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 (exp.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) x))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 2 binary64) x)))
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 #s(literal 2 binary64) x))
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (cbrt.f64 (/.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x))))
(*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (cbrt.f64 (/.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 5/2 binary64))) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64))) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 4 binary64))) (cbrt.f64 (/.f64 #s(literal 2 binary64) x)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 5 binary64))) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1/6 binary64)))
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -3 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal -1/3 binary64))
(pow.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -2 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(pow.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (/.f64 #s(literal 2 binary64) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)))) (sqrt.f64 (log.f64 (/.f64 #s(literal 2 binary64) x))))
(neg.f64 (/.f64 #s(literal -2 binary64) x))
(sqrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 2 binary64) x)))
(cbrt.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) x)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 2 binary64) x)))
(exp.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 #s(literal 2 binary64) x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)))

simplify93.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
475×fma-neg
351×times-frac
326×fma-define
323×distribute-lft-neg-in
282×exp-prod
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03138589937339
15098589937288
211688589937228
343928589937202
Stop Event
1×node limit
Counts
140 → 176
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 x)))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 x)))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 x))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 x (log.f64 (exp.f64 #s(literal 1/2 binary64))))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 (E.f64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)))
(*.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (pow.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1/2 binary64) (neg.f64 x))
(*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -3/2 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) x)
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) x)
(*.f64 (exp.f64 (log.f64 #s(literal 1/2 binary64))) x)
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -5/2 binary64))) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) (cbrt.f64 x))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4 binary64))) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -3/2 binary64))) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 5 binary64))) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 x))
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 x #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (sqrt.f64 (exp.f64 x)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 2 binary64) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 2 binary64) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 2 binary64) x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) x) (log.f64 (E.f64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x)) (cbrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x)) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal -1 binary64)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 2 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 (exp.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) x))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal -1 binary64)) (cbrt.f64 (/.f64 #s(literal 2 binary64) x)))
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 #s(literal 2 binary64) x))
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (cbrt.f64 (/.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x))))
(*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (cbrt.f64 (/.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 5/2 binary64))) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64))) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 4 binary64))) (cbrt.f64 (/.f64 #s(literal 2 binary64) x)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 5 binary64))) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1/6 binary64)))
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -3 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal -1/3 binary64))
(pow.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -2 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(pow.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (/.f64 #s(literal 2 binary64) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)))) (sqrt.f64 (log.f64 (/.f64 #s(literal 2 binary64) x))))
(neg.f64 (/.f64 #s(literal -2 binary64) x))
(sqrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 2 binary64) x)))
(cbrt.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) x)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 2 binary64) x)))
(exp.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 #s(literal 2 binary64) x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)))
Outputs
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 x)))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 x)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 x)))))
(*.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 x)))) #s(literal 2 binary64))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 x))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x (log.f64 (exp.f64 #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 (E.f64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4 binary64))))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))
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(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (cbrt.f64 (/.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x))))
(*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 5/2 binary64))) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 2 binary64) x)
(*.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 2 binary64) x)
(*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(/.f64 (cbrt.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 x))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (cbrt.f64 (/.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 5/2 binary64))) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64))) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 4 binary64))) (cbrt.f64 (/.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 2 binary64) x)
(*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 4 binary64) x)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 5 binary64))) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1/6 binary64)) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 5 binary64))))
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) x)
(pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 2 binary64) x)
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -3 binary64))
(/.f64 #s(literal 2 binary64) x)
(pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))
(/.f64 #s(literal 2 binary64) x)
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal -1/3 binary64))
(pow.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
(fabs.f64 (/.f64 #s(literal -2 binary64) x))
(pow.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64))
(/.f64 #s(literal 2 binary64) x)
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -2 binary64))
(/.f64 #s(literal 2 binary64) x)
(pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) x)
(pow.f64 (E.f64) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 2 binary64) x)
(pow.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 2 binary64) x)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (/.f64 #s(literal 2 binary64) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)))) (sqrt.f64 (log.f64 (/.f64 #s(literal 2 binary64) x))))
(neg.f64 (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
(sqrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
(fabs.f64 (/.f64 #s(literal -2 binary64) x))
(log.f64 (exp.f64 (/.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 2 binary64) x)
(cbrt.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 2 binary64) x)
(expm1.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 2 binary64) x)
(log1p.f64 (expm1.f64 (/.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 2 binary64) x)
(exp.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 2 binary64) x)
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(/.f64 #s(literal 2 binary64) x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)))
(/.f64 #s(literal 2 binary64) x)
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 #s(literal 2 binary64) x))) #s(literal 1/3 binary64)))
(/.f64 #s(literal 2 binary64) x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) x)

eval120.0ms (2.4%)

Compiler

Compiled 1734 to 505 computations (70.9% saved)

prune74.0ms (1.5%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1751176
Fresh000
Picked011
Done033
Total1755180
Accuracy
100.0%
Counts
180 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓49.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
✓99.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
▶48.9%
(/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
✓49.5%
(*.f64 #s(literal 1/2 binary64) x)
✓100.0%
(tan.f64 (/.f64 x #s(literal 2 binary64)))
Compiler

Compiled 34 to 26 computations (23.5% saved)

simplify115.0ms (2.3%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff-128
(/.f64 #s(literal 2 binary64) x)
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
✓cost-diff256
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
✓cost-diff384
(/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
Rules
3098×associate-+r-
1680×sub-neg
1195×+-commutative
206×associate-+l-
117×associate-+r+
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01194
12376
22958
33552
47752
517652
642752
780952
895552
9101052
10101052
11210552
12255752
13274152
14274152
15274152
16670452
17698552
18698552
19799052
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
#s(literal 1 binary64)
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
Outputs
(/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1 binary64)
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 0 binary64))
(/.f64 #s(literal 2 binary64) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 0 binary64))
#s(literal 2 binary64)
x

localize42.0ms (0.9%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 #s(literal 2 binary64) x)
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
✓accuracy52.8%
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
Results
19.0ms132×1valid
8.0ms124×0valid
Compiler

Compiled 29 to 8 computations (72.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-div: 6.0ms (47.7% of total)
ival-add: 2.0ms (15.9% of total)
ival-sub: 2.0ms (15.9% of total)
backward-pass: 2.0ms (15.9% of total)
const: 1.0ms (8% of total)

series3.0ms (0.1%)

Counts
3 → 36
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))>
Outputs
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 #s(literal 2 binary64) x)>
#<alt (/.f64 #s(literal 2 binary64) x)>
#<alt (/.f64 #s(literal 2 binary64) x)>
#<alt (/.f64 #s(literal 2 binary64) x)>
#<alt (/.f64 #s(literal 2 binary64) x)>
#<alt (/.f64 #s(literal 2 binary64) x)>
#<alt (/.f64 #s(literal 2 binary64) x)>
#<alt (/.f64 #s(literal 2 binary64) x)>
#<alt (/.f64 #s(literal 2 binary64) x)>
#<alt (/.f64 #s(literal 2 binary64) x)>
#<alt (/.f64 #s(literal 2 binary64) x)>
#<alt (/.f64 #s(literal 2 binary64) x)>
#<alt (/.f64 #s(literal 2 binary64) x)>
#<alt (/.f64 (+.f64 #s(literal 2 binary64) x) x)>
#<alt (/.f64 (+.f64 #s(literal 2 binary64) x) x)>
#<alt (/.f64 (+.f64 #s(literal 2 binary64) x) x)>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))>
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(- (+ 1 (/ 2 x)) 1)
0.0ms
x
@0
(+ 1 (/ 2 x))
0.0ms
x
@0
(/ 1 (- (+ 1 (/ 2 x)) 1))
0.0ms
x
@inf
(+ 1 (/ 2 x))
0.0ms
x
@-inf
(+ 1 (/ 2 x))

rewrite105.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
644×log1p-expm1-u
644×expm1-log1p-u
571×unpow-prod-down
320×prod-diff
288×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01166
114736
2217036
Stop Event
1×node limit
Counts
3 → 265
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) x))))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (pow.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 (/.f64 (sqrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 (/.f64 #s(literal 2 binary64) x))))) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 (/.f64 #s(literal 2 binary64) x))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 #s(literal 2 binary64) x)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))))
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(fma.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) #s(literal 1 binary64))
(fma.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 (/.f64 #s(literal 2 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (cbrt.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) (cbrt.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (sqrt.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64))

simplify135.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
917×times-frac
482×fma-neg
322×unswap-sqr
300×exp-prod
290×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05748589942162
111178589941964
234078589941905
Stop Event
1×node limit
Counts
301 → 346
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 2 binary64) x)
(/.f64 #s(literal 2 binary64) x)
(/.f64 #s(literal 2 binary64) x)
(/.f64 #s(literal 2 binary64) x)
(/.f64 #s(literal 2 binary64) x)
(/.f64 #s(literal 2 binary64) x)
(/.f64 #s(literal 2 binary64) x)
(/.f64 #s(literal 2 binary64) x)
(/.f64 #s(literal 2 binary64) x)
(/.f64 #s(literal 2 binary64) x)
(/.f64 #s(literal 2 binary64) x)
(/.f64 #s(literal 2 binary64) x)
(/.f64 #s(literal 2 binary64) x)
(/.f64 (+.f64 #s(literal 2 binary64) x) x)
(/.f64 (+.f64 #s(literal 2 binary64) x) x)
(/.f64 (+.f64 #s(literal 2 binary64) x) x)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) x))))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (pow.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 (/.f64 (sqrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 (/.f64 #s(literal 2 binary64) x))))) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 (/.f64 #s(literal 2 binary64) x))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 #s(literal 2 binary64) x)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 (/.f64 #s(literal 2 binary64) x))))) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64)))) (cbrt.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal -3 binary64))) #s(literal -1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -2 binary64))
(pow.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 1/2 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) (log.f64 (exp.f64 #s(literal -1 binary64))))
(+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 0 binary64))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) x))
(+.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))
(+.f64 (log.f64 (exp.f64 #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 2 binary64) x))) (cbrt.f64 (exp.f64 (/.f64 #s(literal 2 binary64) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 2 binary64) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 2 binary64) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 2 binary64) x)))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x)) (cbrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x)) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal -1 binary64)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x)) (pow.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 2 binary64) x)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (pow.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1 binary64)))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 (exp.f64 #s(literal 2 binary64))))
(*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 (/.f64 #s(literal 2 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))))
(*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 (/.f64 #s(literal 2 binary64) x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 #s(literal 2 binary64) x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (pow.f64 (/.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 (/.f64 (sqrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 #s(literal 2 binary64) x))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)))
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(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))) (cbrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))))
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))))
(/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))))
(exp.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) x)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log1p.f64 (/.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x)) (cbrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) #s(literal 1 binary64))
(fma.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 (/.f64 #s(literal 2 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (cbrt.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) (cbrt.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (sqrt.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64))
Outputs
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 2 binary64) x)
(/.f64 #s(literal 2 binary64) x)
(/.f64 #s(literal 2 binary64) x)
(/.f64 #s(literal 2 binary64) x)
(/.f64 #s(literal 2 binary64) x)
(/.f64 #s(literal 2 binary64) x)
(/.f64 #s(literal 2 binary64) x)
(/.f64 #s(literal 2 binary64) x)
(/.f64 #s(literal 2 binary64) x)
(/.f64 #s(literal 2 binary64) x)
(/.f64 #s(literal 2 binary64) x)
(/.f64 #s(literal 2 binary64) x)
(/.f64 #s(literal 2 binary64) x)
(/.f64 (+.f64 #s(literal 2 binary64) x) x)
(/.f64 (+.f64 x #s(literal 2 binary64)) x)
(/.f64 (+.f64 #s(literal 2 binary64) x) x)
(/.f64 (+.f64 x #s(literal 2 binary64)) x)
(/.f64 (+.f64 #s(literal 2 binary64) x) x)
(/.f64 (+.f64 x #s(literal 2 binary64)) x)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64))) (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (exp.f64 x))))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) x))))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))) (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (/.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 2 binary64) x))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (/.f64 #s(literal 2 binary64) x)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 (sqrt.f64 (*.f64 x #s(literal 1/2 binary64))) (pow.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) x))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 (sqrt.f64 x) (pow.f64 (/.f64 (sqrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (expm1.f64 (*.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))))
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(fma.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x)) (cbrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x)) (cbrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) x)) (cbrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(fma.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 (/.f64 #s(literal 2 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 (/.f64 #s(literal 2 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 (/.f64 #s(literal 2 binary64) x)))) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x))))
(fma.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (cbrt.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) (cbrt.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (sqrt.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))

eval77.0ms (1.6%)

Compiler

Compiled 6458 to 1477 computations (77.1% saved)

prune59.0ms (1.2%)

Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New4304434
Fresh000
Picked101
Done044
Total4318439
Accuracy
100.0%
Counts
439 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
29.1%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)))) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))
✓49.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
✓99.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
48.9%
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 1 binary64)))
48.9%
(/.f64 #s(literal 1 binary64) (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
48.9%
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)))
✓49.5%
(*.f64 #s(literal 1/2 binary64) x)
✓100.0%
(tan.f64 (/.f64 x #s(literal 2 binary64)))
Compiler

Compiled 165 to 96 computations (41.8% saved)

regimes7.0ms (0.2%)

Counts
10 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)))) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
Outputs
(tan.f64 (/.f64 x #s(literal 2 binary64)))
Calls

2 calls:

3.0ms
x
3.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes3.0ms (0.1%)

Accuracy

Total -13.1b remaining (-40.4%)

Threshold costs -13.1b (-40.4%)

Counts
7 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)))) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))))
Outputs
(*.f64 #s(literal 1/2 binary64) x)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
49.5%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify2.0ms (0%)

Algorithm
1×egg-herbie
Rules
1×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01124
11224
Stop Event
1×saturated
Calls
Call 1
Inputs
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
Outputs
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))

soundness118.0ms (2.4%)

Rules
199×fma-define
83×fma-neg
47×times-frac
47×div-sub
37×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01760
14660
28556
319156
447056
581556
698156
Stop Event
1×fuel
1×saturated
Compiler

Compiled 20 to 15 computations (25% saved)

preprocess33.0ms (0.7%)

Remove

(negabs x)

Compiler

Compiled 72 to 56 computations (22.2% saved)

end0.0ms (0%)

Profiling

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