Hyperbolic arc-(co)tangent

Time bar (total: 9.1s)

analyze5.0ms (0.1%)

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
0%0%50%0%0%50%0%3
50%25%25%0%0%50%0%4
75%37.5%12.5%0%0%50%0%5
87.5%43.7%6.2%0%0%50%0%6
93.8%46.9%3.1%0%0%50%0%7
96.9%48.4%1.6%0%0%50%0%8
98.4%49.2%0.8%0%0%50%0%9
99.2%49.6%0.4%0%0%50%0%10
99.6%49.8%0.2%0%0%50%0%11
99.8%49.9%0.1%0%0%50%0%12
Compiler

Compiled 14 to 12 computations (14.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
Operation ival-div, time spent: 1.0ms, 40.0% of total-time
Operation ival-log, time spent: 1.0ms, 40.0% of total-time
Operation ival-sub, time spent: 0.0ms, 0.0% of total-time
Operation ival-add, time spent: 0.0ms, 0.0% of total-time
Operation ival-mult, time spent: 0.0ms, 0.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

sample4.7s (51.2%)

Results
2.5s4105×1024valid
999.0ms2106×512valid
637.0ms1785×256valid
178.0ms259×2048valid
1.0ms6×256invalid
0.0ms1×256valid
Precisions
Click to see histograms. Total time spent on operations: 3.3s
Operation ival-log, time spent: 2.0s, 60.0% of total-time
Operation ival-div, time spent: 640.0ms, 20.0% of total-time
Operation ival-mult, time spent: 243.0ms, 7.0% of total-time
Operation ival-sub, time spent: 213.0ms, 6.0% of total-time
Operation ival-add, time spent: 152.0ms, 5.0% of total-time
Operation const, time spent: 62.0ms, 2.0% of total-time
Bogosity

preprocess997.0ms (10.9%)

Algorithm
1×egg-herbie
Rules
1682×fma-neg
1238×distribute-lft-in
1230×fma-define
754×unsub-neg
668×sub-neg
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2541(0.002919418284387555)0-(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
00-0-x
00-0-(+.f64 1 x)
00-0-(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
00-0-(/.f64 (+.f64 1 x) (-.f64 1 x))
00-0-(/.f64 1 2)
00-0-(-.f64 1 x)
00-0-2
00-0-1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022144
151124
285124
3166124
4374124
5723124
61593124
72425124
84055124
94965124
105290124
115755124
125971124
136018124
146386124
156644124
166818124
177274124
187540124
197604124
207662124
217678124
227678124
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x)))))
(neg.f64 (*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x))))))
Outputs
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x)))))
(*.f64 1/2 (log.f64 (/.f64 (-.f64 1 x) (-.f64 1 (neg.f64 x)))))
(*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(*.f64 -1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(neg.f64 (*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x))))))
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
Symmetry

(negabs x)

Compiler

Compiled 95 to 75 computations (21.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 428.0ms
Operation ival-log, time spent: 189.0ms, 44.0% of total-time
Operation ival-sub, time spent: 96.0ms, 22.0% of total-time
Operation ival-div, time spent: 85.0ms, 20.0% of total-time
Operation ival-add, time spent: 37.0ms, 9.0% of total-time
Operation const, time spent: 12.0ms, 3.0% of total-time
Operation ival-mult, time spent: 10.0ms, 2.0% of total-time

eval1.0ms (0%)

Compiler

Compiled 19 to 15 computations (21.1% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
▶9.0%
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
Compiler

Compiled 20 to 16 computations (20% saved)

localize530.0ms (5.8%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
✓100.0%
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
✓100.0%
(/.f64 (+.f64 1 x) (-.f64 1 x))
✓9.0%
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
Compiler

Compiled 59 to 34 computations (42.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 576.0ms
Operation ival-log, time spent: 320.0ms, 56.0% of total-time
Operation composed, time spent: 175.0ms, 30.0% of total-time
Operation ival-add, time spent: 23.0ms, 4.0% of total-time
Operation ival-sub, time spent: 21.0ms, 4.0% of total-time
Operation ival-div, time spent: 16.0ms, 3.0% of total-time
Operation ival-mult, time spent: 10.0ms, 2.0% of total-time
Operation const, time spent: 6.0ms, 1.0% of total-time
Operation ival-neg, time spent: 3.0ms, 1.0% of total-time

series12.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
2.0ms
x
@0
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
2.0ms
x
@0
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
1.0ms
x
@inf
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
1.0ms
x
@-inf
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))

rewrite236.0ms (2.6%)

Algorithm
1×batch-egg-rewrite
Rules
1236×prod-diff
672×log1p-expm1-u
672×expm1-log1p-u
624×log-prod
532×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01575
121867
2294967
Stop Event
1×node limit
Counts
3 → 286
Calls
Call 1
Inputs
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
Outputs
(+.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x)))
(+.f64 (log1p.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(+.f64 (log1p.f64 x) (log.f64 (*.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 0)
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(+.f64 0 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x))
(+.f64 (log.f64 (pow.f64 (+.f64 1 x) 2)) (log.f64 (*.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 -1 (+.f64 x -1)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (log.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (+.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (log.f64 (*.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 1 x))) (log.f64 (cbrt.f64 (/.f64 -1 (+.f64 x -1)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 1 x))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (sqrt.f64 (/.f64 -1 (+.f64 x -1)))))
(+.f64 (log.f64 (+.f64 x -1)) (log.f64 (/.f64 1 (+.f64 x -1))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 (+.f64 1 x)))) (log.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))
(+.f64 (log.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (log.f64 (/.f64 (+.f64 1 x) (cbrt.f64 (+.f64 1 x)))))
(+.f64 (log.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x)))) (log.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x)))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1)) (log.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (+.f64 1 x))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) 1)) (log.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 1 x))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (log.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x)))))
(+.f64 (log.f64 (/.f64 (+.f64 1 x) (+.f64 1 (pow.f64 x 2)))) (log1p.f64 x))
(+.f64 (log.f64 (/.f64 (+.f64 1 x) (+.f64 1 (pow.f64 x 3)))) (log1p.f64 (fma.f64 x x x)))
(+.f64 (log.f64 (*.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) (+.f64 1 x))) (neg.f64 (log1p.f64 x)))
(-.f64 (log1p.f64 x) (log1p.f64 x))
(-.f64 (log1p.f64 x) (log.f64 (*.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) (+.f64 1 x))))
(-.f64 (log1p.f64 x) (log.f64 (*.f64 (+.f64 1 x) (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(-.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(-.f64 0 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(-.f64 0 (log.f64 (/.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 1)))
(-.f64 (log.f64 (pow.f64 (+.f64 1 x) 2)) (log.f64 (pow.f64 (+.f64 1 x) 2)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))) 1)
(-.f64 (log.f64 (cbrt.f64 (+.f64 1 x))) (log.f64 (cbrt.f64 (+.f64 1 x))))
(-.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (sqrt.f64 (+.f64 1 x))))
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(-.f64 (log1p.f64 (pow.f64 x 2)) (log.f64 (pow.f64 (+.f64 1 x) 2)))
(-.f64 (log.f64 (+.f64 x -1)) (log.f64 (+.f64 x -1)))
(-.f64 (log.f64 (+.f64 x -1)) (log.f64 (*.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) (+.f64 x -1))))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (*.f64 (+.f64 1 x) (fma.f64 x (+.f64 1 x) 1))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 3) (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2))) (/.f64 (pow.f64 (log1p.f64 x) 3) (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) (log.f64 (pow.f64 (+.f64 1 x) 2))) (/.f64 (pow.f64 (log1p.f64 x) 2) (log.f64 (pow.f64 (+.f64 1 x) 2))))
(-.f64 (log.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 1 x))))
(-.f64 (log.f64 (*.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) (+.f64 1 x))) (log1p.f64 x))
(-.f64 (log.f64 (cbrt.f64 (+.f64 x -1))) (log.f64 (cbrt.f64 (+.f64 x -1))))
(-.f64 (log.f64 (sqrt.f64 (+.f64 x -1))) (log.f64 (sqrt.f64 (+.f64 x -1))))
(-.f64 (log.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) 1)) (log.f64 (*.f64 (fma.f64 x (+.f64 1 x) 1) (+.f64 1 x))))
(-.f64 (log.f64 (*.f64 (+.f64 1 (pow.f64 x 2)) 1)) (log.f64 (pow.f64 (+.f64 1 x) 2)))
(-.f64 (log.f64 (neg.f64 (+.f64 x -1))) (log.f64 (neg.f64 (+.f64 x -1))))
(-.f64 (log.f64 (/.f64 (+.f64 1 x) 1)) (log1p.f64 x))
(-.f64 (log.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 -1 (+.f64 x -1)))) (log1p.f64 (fma.f64 x x x)))
(-.f64 (log.f64 (/.f64 (+.f64 1 x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (log.f64 (cbrt.f64 (+.f64 1 x))))
(-.f64 (log.f64 (*.f64 (+.f64 1 x) (/.f64 (+.f64 1 x) (+.f64 1 x)))) (log1p.f64 x))
(-.f64 (log.f64 (*.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) (+.f64 x -1))) (log.f64 (+.f64 x -1)))
(-.f64 (log.f64 (*.f64 (+.f64 x -1) (+.f64 x -1))) (log.f64 (*.f64 (+.f64 x -1) (+.f64 x -1))))
(-.f64 (log.f64 (*.f64 (+.f64 1 x) (+.f64 x -1))) (log.f64 (*.f64 (+.f64 1 x) (+.f64 x -1))))
(-.f64 (log.f64 (*.f64 (+.f64 x -1) 1)) (log.f64 (*.f64 (+.f64 x -1) (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(-.f64 (log.f64 (*.f64 (+.f64 x -1) (/.f64 (+.f64 1 x) (+.f64 1 x)))) (log.f64 (+.f64 x -1)))
(-.f64 (log.f64 (*.f64 (+.f64 x -1) (+.f64 1 x))) (log.f64 (*.f64 (+.f64 x -1) (+.f64 1 x))))
(*.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (log.f64 (pow.f64 (+.f64 1 x) 2))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))))
(/.f64 1 (/.f64 (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2)) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))))
(/.f64 1 (/.f64 (log.f64 (pow.f64 (+.f64 1 x) 2)) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (log.f64 (pow.f64 (+.f64 1 x) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))) (neg.f64 (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))) (neg.f64 (log.f64 (pow.f64 (+.f64 1 x) 2))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (neg.f64 (log1p.f64 x)) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (-.f64 (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x))) (*.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))) (-.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))
(pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2)
(neg.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 1))
(fma.f64 1 (log1p.f64 x) (neg.f64 (log1p.f64 x)))
(fma.f64 1 (log1p.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x)) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(fma.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(fma.f64 1 (neg.f64 (log1p.f64 x)) (log1p.f64 x))
(fma.f64 (log1p.f64 x) 1 (neg.f64 (log1p.f64 x)))
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(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))) (-.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))
(pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2)
(neg.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2))
(log.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))))
(log.f64 (*.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))) (/.f64 (+.f64 1 x) (+.f64 1 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))) (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 1))
(fma.f64 1 (log1p.f64 x) (neg.f64 (log1p.f64 x)))
(fma.f64 1 (log1p.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x)) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(fma.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(fma.f64 1 (neg.f64 (log1p.f64 x)) (log1p.f64 x))
(fma.f64 (log1p.f64 x) 1 (neg.f64 (log1p.f64 x)))
(fma.f64 (log1p.f64 x) 1 (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(fma.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1 (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1 (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(fma.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (neg.f64 (log1p.f64 x)))
(fma.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (neg.f64 (cbrt.f64 (log1p.f64 x))) (log1p.f64 x))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (neg.f64 (sqrt.f64 (log1p.f64 x))) (log1p.f64 x))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2))) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(fma.f64 -1 (log1p.f64 x) (log1p.f64 x))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (log.f64 (pow.f64 (+.f64 1 x) 2))) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (log.f64 (pow.f64 (+.f64 1 x) 2))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (log.f64 (pow.f64 (+.f64 1 x) 2))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)) (log1p.f64 x))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (log1p.f64 x))) (cbrt.f64 (neg.f64 (log1p.f64 x)))) (cbrt.f64 (neg.f64 (log1p.f64 x))) (log1p.f64 x))
(fma.f64 (sqrt.f64 (neg.f64 (log1p.f64 x))) (sqrt.f64 (neg.f64 (log1p.f64 x))) (log1p.f64 x))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (log1p.f64 x)) (log1p.f64 x))

simplify146.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
1188×fma-define
670×log-prod
560×associate-/r*
544×distribute-rgt-in
520×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04373185
111653010
224382908
377072908
Stop Event
1×node limit
Counts
322 → 292
Calls
Call 1
Inputs
(*.f64 2 x)
(+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x))
(+.f64 (*.f64 2/5 (pow.f64 x 5)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
(+.f64 (*.f64 2/7 (pow.f64 x 7)) (+.f64 (*.f64 2/5 (pow.f64 x 5)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))))
1
(+.f64 1 (*.f64 2 x))
(+.f64 1 (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 2 x) (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 (pow.f64 x 3)))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(*.f64 2 x)
(+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x))
(+.f64 (*.f64 2/5 (pow.f64 x 5)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
(+.f64 (*.f64 2/7 (pow.f64 x 7)) (+.f64 (*.f64 2/5 (pow.f64 x 5)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x))))
(*.f64 -1 (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 -1)) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 -1)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(+.f64 (*.f64 -1 (log.f64 -1)) (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))))
(+.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x)))
(+.f64 (log1p.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(+.f64 (log1p.f64 x) (log.f64 (*.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 0)
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(+.f64 0 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x))
(+.f64 (log.f64 (pow.f64 (+.f64 1 x) 2)) (log.f64 (*.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 -1 (+.f64 x -1)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (log.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (+.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (log.f64 (*.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 1 x))) (log.f64 (cbrt.f64 (/.f64 -1 (+.f64 x -1)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 1 x))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (sqrt.f64 (/.f64 -1 (+.f64 x -1)))))
(+.f64 (log.f64 (+.f64 x -1)) (log.f64 (/.f64 1 (+.f64 x -1))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 (+.f64 1 x)))) (log.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))
(+.f64 (log.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (log.f64 (/.f64 (+.f64 1 x) (cbrt.f64 (+.f64 1 x)))))
(+.f64 (log.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x)))) (log.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x)))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1)) (log.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (+.f64 1 x))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) 1)) (log.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 1 x))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (log.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x)))))
(+.f64 (log.f64 (/.f64 (+.f64 1 x) (+.f64 1 (pow.f64 x 2)))) (log1p.f64 x))
(+.f64 (log.f64 (/.f64 (+.f64 1 x) (+.f64 1 (pow.f64 x 3)))) (log1p.f64 (fma.f64 x x x)))
(+.f64 (log.f64 (*.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) (+.f64 1 x))) (neg.f64 (log1p.f64 x)))
(-.f64 (log1p.f64 x) (log1p.f64 x))
(-.f64 (log1p.f64 x) (log.f64 (*.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) (+.f64 1 x))))
(-.f64 (log1p.f64 x) (log.f64 (*.f64 (+.f64 1 x) (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(-.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(-.f64 0 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(-.f64 0 (log.f64 (/.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) 1)))
(-.f64 (log.f64 (pow.f64 (+.f64 1 x) 2)) (log.f64 (pow.f64 (+.f64 1 x) 2)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))) 1)
(-.f64 (log.f64 (cbrt.f64 (+.f64 1 x))) (log.f64 (cbrt.f64 (+.f64 1 x))))
(-.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (sqrt.f64 (+.f64 1 x))))
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(-.f64 (log1p.f64 (pow.f64 x 2)) (log.f64 (pow.f64 (+.f64 1 x) 2)))
(-.f64 (log.f64 (+.f64 x -1)) (log.f64 (+.f64 x -1)))
(-.f64 (log.f64 (+.f64 x -1)) (log.f64 (*.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) (+.f64 x -1))))
(-.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (*.f64 (+.f64 1 x) (fma.f64 x (+.f64 1 x) 1))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 3) (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2))) (/.f64 (pow.f64 (log1p.f64 x) 3) (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) (log.f64 (pow.f64 (+.f64 1 x) 2))) (/.f64 (pow.f64 (log1p.f64 x) 2) (log.f64 (pow.f64 (+.f64 1 x) 2))))
(-.f64 (log.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 1 x))))
(-.f64 (log.f64 (*.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) (+.f64 1 x))) (log1p.f64 x))
(-.f64 (log.f64 (cbrt.f64 (+.f64 x -1))) (log.f64 (cbrt.f64 (+.f64 x -1))))
(-.f64 (log.f64 (sqrt.f64 (+.f64 x -1))) (log.f64 (sqrt.f64 (+.f64 x -1))))
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(+.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x)))
(+.f64 (log1p.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(+.f64 (log1p.f64 x) (log.f64 (*.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 0)
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(+.f64 0 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x))
(+.f64 (log.f64 (pow.f64 (+.f64 1 x) 2)) (log.f64 (*.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 -1 (+.f64 x -1)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (log.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (+.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (log.f64 (*.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 1 x))) (log.f64 (cbrt.f64 (/.f64 -1 (+.f64 x -1)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 1 x))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (sqrt.f64 (/.f64 -1 (+.f64 x -1)))))
(+.f64 (log.f64 (+.f64 x -1)) (log.f64 (/.f64 1 (+.f64 x -1))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 (+.f64 1 x)))) (log.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))
(+.f64 (log.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (log.f64 (/.f64 (+.f64 1 x) (cbrt.f64 (+.f64 1 x)))))
(+.f64 (log.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x)))) (log.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x)))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1)) (log.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (+.f64 1 x))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) 1)) (log.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 1 x))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (log.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x)))))
(+.f64 (log.f64 (/.f64 (+.f64 1 x) (+.f64 1 (pow.f64 x 2)))) (log1p.f64 x))
(+.f64 (log.f64 (/.f64 (+.f64 1 x) (+.f64 1 (pow.f64 x 3)))) (log1p.f64 (fma.f64 x x x)))
(+.f64 (log.f64 (*.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) (+.f64 1 x))) (neg.f64 (log1p.f64 x)))
(*.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (log.f64 (pow.f64 (+.f64 1 x) 2))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))))
(/.f64 1 (/.f64 (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2)) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))))
(/.f64 1 (/.f64 (log.f64 (pow.f64 (+.f64 1 x) 2)) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (log.f64 (pow.f64 (+.f64 1 x) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))) (neg.f64 (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))) (neg.f64 (log.f64 (pow.f64 (+.f64 1 x) 2))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (neg.f64 (log1p.f64 x)) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (-.f64 (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x))) (*.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))) (-.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))
(pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2)
(neg.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2))
(log.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))))
(log.f64 (*.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))) (/.f64 (+.f64 1 x) (+.f64 1 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))) (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 1))
(fma.f64 1 (log1p.f64 x) (neg.f64 (log1p.f64 x)))
(fma.f64 1 (log1p.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x)) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(fma.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(fma.f64 1 (neg.f64 (log1p.f64 x)) (log1p.f64 x))
(fma.f64 (log1p.f64 x) 1 (neg.f64 (log1p.f64 x)))
(fma.f64 (log1p.f64 x) 1 (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1 (-.f64 (log1p.f64 x) (log1p.f64 x)))
(fma.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1 (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1 (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(fma.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (neg.f64 (log1p.f64 x)))
(fma.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (neg.f64 (cbrt.f64 (log1p.f64 x))) (log1p.f64 x))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (*.f64 (neg.f64 (log1p.f64 x)) 1))
(fma.f64 (sqrt.f64 (log1p.f64 x)) (neg.f64 (sqrt.f64 (log1p.f64 x))) (log1p.f64 x))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2))) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(fma.f64 -1 (log1p.f64 x) (log1p.f64 x))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (log.f64 (pow.f64 (+.f64 1 x) 2))) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (log.f64 (pow.f64 (+.f64 1 x) 2))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (log.f64 (pow.f64 (+.f64 1 x) 2))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)) (log1p.f64 x))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (log1p.f64 x))) (cbrt.f64 (neg.f64 (log1p.f64 x)))) (cbrt.f64 (neg.f64 (log1p.f64 x))) (log1p.f64 x))
(fma.f64 (sqrt.f64 (neg.f64 (log1p.f64 x))) (sqrt.f64 (neg.f64 (log1p.f64 x))) (log1p.f64 x))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (log1p.f64 x)) (log1p.f64 x))
Outputs
(*.f64 2 x)
(+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))
(+.f64 (*.f64 2/5 (pow.f64 x 5)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)))
(fma.f64 2/3 (pow.f64 x 3) (fma.f64 2/5 (pow.f64 x 5) (*.f64 2 x)))
(+.f64 (*.f64 2/7 (pow.f64 x 7)) (+.f64 (*.f64 2/5 (pow.f64 x 5)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x))))
(fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/7 (pow.f64 x 7) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (log.f64 -1) (/.f64 2 x))
(+.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (+.f64 (log.f64 -1) (/.f64 2 x)) (/.f64 2/3 (pow.f64 x 3)))
(+.f64 (log.f64 -1) (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))))
(+.f64 (log.f64 -1) (+.f64 (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))) (/.f64 2/5 (pow.f64 x 5))))
(+.f64 (+.f64 (+.f64 (log.f64 -1) (/.f64 2 x)) (/.f64 2/3 (pow.f64 x 3))) (/.f64 2/5 (pow.f64 x 5)))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (log.f64 -1) (/.f64 2 x))
(+.f64 (log.f64 -1) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))))
(+.f64 (+.f64 (log.f64 -1) (/.f64 2 x)) (/.f64 2/3 (pow.f64 x 3)))
(+.f64 (log.f64 -1) (+.f64 (*.f64 2/5 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))))
(+.f64 (log.f64 -1) (+.f64 (+.f64 (/.f64 2 x) (/.f64 2/3 (pow.f64 x 3))) (/.f64 2/5 (pow.f64 x 5))))
(+.f64 (+.f64 (+.f64 (log.f64 -1) (/.f64 2 x)) (/.f64 2/3 (pow.f64 x 3))) (/.f64 2/5 (pow.f64 x 5)))
(+.f64 (log.f64 -1) (+.f64 (/.f64 2/3 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 2/5 (pow.f64 x 5)))))
1
(+.f64 1 (*.f64 2 x))
(+.f64 (*.f64 2 x) 1)
(fma.f64 2 x 1)
(+.f64 1 (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 2))))
(+.f64 1 (*.f64 2 (+.f64 x (pow.f64 x 2))))
(fma.f64 2 (fma.f64 x x x) 1)
(+.f64 1 (+.f64 (*.f64 2 x) (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 (pow.f64 x 3)))))
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(+.f64 (log1p.f64 x) (log.f64 (*.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 (+.f64 1 x) (+.f64 1 x)))))
(+.f64 (log1p.f64 x) (log.f64 (/.f64 -1 (+.f64 x -1))))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (-.f64 (log1p.f64 x) (log1p.f64 x)))
0
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 0)
0
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
0
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
0
(+.f64 0 (-.f64 (log1p.f64 x) (log1p.f64 x)))
0
(+.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 x))
0
(+.f64 (log.f64 (pow.f64 (+.f64 1 x) 2)) (log.f64 (*.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 -1 (+.f64 x -1)))))
(+.f64 (*.f64 2 (log1p.f64 x)) (log.f64 (*.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 -1 (+.f64 x -1)))))
(fma.f64 2 (log1p.f64 x) (*.f64 2 (log.f64 (/.f64 -1 (+.f64 x -1)))))
(*.f64 2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (log.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (+.f64 1 x))))
0
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (log.f64 (*.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1)))))
(+.f64 (log1p.f64 x) (log.f64 (/.f64 -1 (+.f64 x -1))))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(+.f64 (log.f64 (cbrt.f64 (+.f64 1 x))) (log.f64 (cbrt.f64 (/.f64 -1 (+.f64 x -1)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x 1))) (log.f64 (cbrt.f64 (/.f64 -1 (+.f64 x -1)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 1 x))))
0
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 -1 (+.f64 x -1)))))
(+.f64 (log1p.f64 x) (log.f64 (/.f64 -1 (+.f64 x -1))))
(-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (sqrt.f64 (/.f64 -1 (+.f64 x -1)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 (/.f64 -1 (+.f64 x -1)))))
(+.f64 (log.f64 (+.f64 x -1)) (log.f64 (/.f64 1 (+.f64 x -1))))
0
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 (+.f64 1 x)))) (log.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))
0
(+.f64 (log.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (log.f64 (/.f64 (+.f64 1 x) (cbrt.f64 (+.f64 1 x)))))
0
(+.f64 (log.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x)))) (log.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (+.f64 1 x)))))
0
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1)) (log.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (+.f64 1 x))))
0
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (-.f64 (log1p.f64 x) (log1p.f64 x)))
0
(+.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) 1)) (log.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (+.f64 1 x))))
0
(+.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (log.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x)))))
0
(+.f64 (log.f64 (/.f64 (+.f64 1 x) (+.f64 1 (pow.f64 x 2)))) (log1p.f64 x))
(+.f64 (log1p.f64 x) (-.f64 (log1p.f64 x) (log1p.f64 (pow.f64 x 2))))
(-.f64 (*.f64 2 (log1p.f64 x)) (log1p.f64 (pow.f64 x 2)))
(+.f64 (log.f64 (/.f64 (+.f64 1 x) (+.f64 1 (pow.f64 x 3)))) (log1p.f64 (fma.f64 x x x)))
(+.f64 (-.f64 (log1p.f64 x) (log1p.f64 (pow.f64 x 3))) (log1p.f64 (fma.f64 x x x)))
(-.f64 (log1p.f64 x) (-.f64 (log1p.f64 (pow.f64 x 3)) (log1p.f64 (fma.f64 x x x))))
(+.f64 (log1p.f64 x) (-.f64 (log1p.f64 (fma.f64 x x x)) (log1p.f64 (pow.f64 x 3))))
(+.f64 (log.f64 (*.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) (+.f64 1 x))) (neg.f64 (log1p.f64 x)))
0
(*.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x)))
0
(*.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1)
0
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2))
0
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
0
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
0
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2))))
0
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (log.f64 (pow.f64 (+.f64 1 x) 2))))
0
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))))
0
(/.f64 1 (/.f64 (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2)) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))))
0
(/.f64 1 (/.f64 (log.f64 (pow.f64 (+.f64 1 x) 2)) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))))
0
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2)))
0
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (log.f64 (pow.f64 (+.f64 1 x) 2)))
0
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3))) (neg.f64 (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2))))
0
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2))) (neg.f64 (log.f64 (pow.f64 (+.f64 1 x) 2))))
0
(/.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (neg.f64 (log1p.f64 x)) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (-.f64 (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x))) (*.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))))
0
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))) (-.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))
0
(pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1)
0
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 3)
0
(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3)
0
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2)
0
(neg.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))
0
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 2))
(sqrt.f64 0)
(log.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)))
0
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))))
0
(log.f64 (*.f64 (/.f64 (+.f64 1 x) (+.f64 1 x)) (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))))
0
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))) (/.f64 (+.f64 1 x) (+.f64 1 x))))
0
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)))) (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))))
0
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))))
0
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 3))
0
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
0
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
0
(exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
0
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 1))
0
(fma.f64 1 (log1p.f64 x) (neg.f64 (log1p.f64 x)))
0
(fma.f64 1 (log1p.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))
0
(fma.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x)) (-.f64 (log1p.f64 x) (log1p.f64 x)))
0
(fma.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
0
(fma.f64 1 (-.f64 (log1p.f64 x) (log1p.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
0
(fma.f64 1 (neg.f64 (log1p.f64 x)) (log1p.f64 x))
0
(fma.f64 (log1p.f64 x) 1 (neg.f64 (log1p.f64 x)))
0
(fma.f64 (log1p.f64 x) 1 (*.f64 (neg.f64 (log1p.f64 x)) 1))
0
(fma.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1 (-.f64 (log1p.f64 x) (log1p.f64 x)))
0
(fma.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1 (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
0
(fma.f64 (-.f64 (log1p.f64 x) (log1p.f64 x)) 1 (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
0
(fma.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (neg.f64 (log1p.f64 x)))
0
(fma.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (*.f64 (neg.f64 (log1p.f64 x)) 1))
0
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
0
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (*.f64 (neg.f64 (log1p.f64 x)) 1))
0
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (neg.f64 (cbrt.f64 (log1p.f64 x))) (log1p.f64 x))
0
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (-.f64 (log1p.f64 x) (log1p.f64 x)))
0
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
0
(fma.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
0
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (-.f64 (log1p.f64 x) (log1p.f64 x)))
0
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
0
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
0
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)))
0
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (*.f64 (neg.f64 (log1p.f64 x)) 1))
0
(fma.f64 (sqrt.f64 (log1p.f64 x)) (neg.f64 (sqrt.f64 (log1p.f64 x))) (log1p.f64 x))
0
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (-.f64 (log1p.f64 x) (log1p.f64 x)))
0
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
0
(fma.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
0
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2))) (-.f64 (log1p.f64 x) (log1p.f64 x)))
0
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
0
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (/.f64 1 (fma.f64 (log1p.f64 x) (log.f64 (pow.f64 (+.f64 1 x) 2)) (pow.f64 (log1p.f64 x) 2))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
0
(fma.f64 -1 (log1p.f64 x) (log1p.f64 x))
0
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (log.f64 (pow.f64 (+.f64 1 x) 2))) (-.f64 (log1p.f64 x) (log1p.f64 x)))
0
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (log.f64 (pow.f64 (+.f64 1 x) 2))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
0
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (log.f64 (pow.f64 (+.f64 1 x) 2))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
0
(fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)) (log1p.f64 x))
0
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (log1p.f64 x))) (cbrt.f64 (neg.f64 (log1p.f64 x)))) (cbrt.f64 (neg.f64 (log1p.f64 x))) (log1p.f64 x))
0
(fma.f64 (sqrt.f64 (neg.f64 (log1p.f64 x))) (sqrt.f64 (neg.f64 (log1p.f64 x))) (log1p.f64 x))
0
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (log1p.f64 x) (log1p.f64 x)))
0
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (fma.f64 (neg.f64 (log1p.f64 x)) 1 (log1p.f64 x)))
0
(fma.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (log1p.f64 x)))
0
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (log1p.f64 x)) (log1p.f64 x))
0

eval135.0ms (1.5%)

Compiler

Compiled 4665 to 3182 computations (31.8% saved)

prune54.0ms (0.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New2884292
Fresh000
Picked022
Done000
Total2886294
Accuracy
100.0%
Counts
294 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
▶99.6%
(*.f64 1/2 (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
▶99.9%
(*.f64 1/2 (+.f64 (*.f64 2/5 (pow.f64 x 5)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x))))
▶98.9%
(*.f64 1/2 (*.f64 2 x))
✓9.0%
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
▶5.3%
(*.f64 1/2 0)
Compiler

Compiled 60 to 50 computations (16.7% saved)

localize199.0ms (2.2%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
✓99.9%
(*.f64 2/3 (pow.f64 x 3))
✓100.0%
(+.f64 (*.f64 2/5 (pow.f64 x 5)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
✓99.9%
(*.f64 2/5 (pow.f64 x 5))
✓99.9%
(*.f64 2/3 (pow.f64 x 3))
Compiler

Compiled 121 to 96 computations (20.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 89.0ms
Operation ival-mult, time spent: 42.0ms, 47.0% of total-time
Operation ival-pow, time spent: 31.0ms, 35.0% of total-time
Operation ival-add, time spent: 10.0ms, 11.0% of total-time
Operation const, time spent: 7.0ms, 8.0% of total-time

series10.0ms (0.1%)

Counts
4 → 6
Calls

12 calls:

TimeVariablePointExpression
2.0ms
x
@0
(*.f64 2/5 (pow.f64 x 5))
1.0ms
x
@0
(*.f64 2/3 (pow.f64 x 3))
1.0ms
x
@-inf
(*.f64 2/5 (pow.f64 x 5))
1.0ms
x
@inf
(+.f64 (*.f64 2/5 (pow.f64 x 5)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
1.0ms
x
@inf
(*.f64 2/3 (pow.f64 x 3))

rewrite120.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
1234×fma-define
1029×log1p-expm1-u
1029×expm1-log1p-u
618×fma-neg
328×expm1-undefine
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01792
120692
2285392
Stop Event
1×node limit
Counts
4 → 116
Calls
Call 1
Inputs
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/5 (pow.f64 x 5))
(+.f64 (*.f64 2/5 (pow.f64 x 5)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
(*.f64 2/3 (pow.f64 x 3))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))
(log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2/3 (pow.f64 x 3)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27))
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))))
(exp.f64 (*.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2/5 (pow.f64 x 5)))) 1)
(pow.f64 (*.f64 2/5 (pow.f64 x 5)) 1)
(pow.f64 (cbrt.f64 (*.f64 2/5 (pow.f64 x 5))) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 8/125) 1/3)
(pow.f64 (*.f64 (pow.f64 x 5/2) (sqrt.f64 2/5)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 10) 4/25))
(log.f64 (pow.f64 (exp.f64 2/5) (pow.f64 x 5)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2/5 (pow.f64 x 5)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 8/125))
(expm1.f64 (log1p.f64 (*.f64 2/5 (pow.f64 x 5))))
(log1p.f64 (expm1.f64 (*.f64 2/5 (pow.f64 x 5))))
(exp.f64 (fma.f64 5 (log.f64 x) (log.f64 2/5)))
(exp.f64 (*.f64 (fma.f64 5 (log.f64 x) (log.f64 2/5)) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 2/3 (pow.f64 x 3) (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5)))))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 10) 4/25) (-.f64 (*.f64 2/5 (pow.f64 x 5)) (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)))) (/.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) 2) (-.f64 (*.f64 2/5 (pow.f64 x 5)) (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)))))
(*.f64 (fma.f64 2/3 (pow.f64 x 3) (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5)))) 1)
(*.f64 1 (fma.f64 2/3 (pow.f64 x 3) (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5)))))
(*.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5))))) (pow.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5))))) 2) (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5))))))
(*.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5))))) (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5))))))
(*.f64 (fma.f64 (pow.f64 (pow.f64 x 5) 3) 8/125 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) 3)) (/.f64 1 (fma.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) (-.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) (*.f64 2/5 (pow.f64 x 5))) (*.f64 (pow.f64 x 10) 4/25))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 10) 4/25) (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) 2)) (/.f64 1 (-.f64 (*.f64 2/5 (pow.f64 x 5)) (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)))))
(/.f64 1 (/.f64 (fma.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) (-.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) (*.f64 2/5 (pow.f64 x 5))) (*.f64 (pow.f64 x 10) 4/25)) (fma.f64 (pow.f64 (pow.f64 x 5) 3) 8/125 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) 3))))
(/.f64 1 (/.f64 (-.f64 (*.f64 2/5 (pow.f64 x 5)) (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))) (-.f64 (*.f64 (pow.f64 x 10) 4/25) (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) 2))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 5) 3) 8/125 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) 3)) (fma.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) (-.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) (*.f64 2/5 (pow.f64 x 5))) (*.f64 (pow.f64 x 10) 4/25)))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 5) 3) 8/125 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) 3)) (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) 2) (-.f64 (*.f64 (pow.f64 x 10) 4/25) (*.f64 (*.f64 2/5 (pow.f64 x 5)) (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 10) 4/25) (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) 2)) (-.f64 (*.f64 2/5 (pow.f64 x 5)) (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 x 5) 3) 8/125 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) 3))) (neg.f64 (fma.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) (-.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) (*.f64 2/5 (pow.f64 x 5))) (*.f64 (pow.f64 x 10) 4/25))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 10) 4/25) (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) 2))) (neg.f64 (-.f64 (*.f64 2/5 (pow.f64 x 5)) (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3))) 3) (*.f64 (pow.f64 x 3) 8)) (fma.f64 (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3))) (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3))) (-.f64 (*.f64 (pow.f64 x 2) 4) (*.f64 (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3))) (*.f64 x 2)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) 2) (*.f64 (pow.f64 x 10) 4/25)) (-.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) (*.f64 2/5 (pow.f64 x 5))))
(/.f64 (-.f64 (*.f64 (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3))) (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3)))) (*.f64 (pow.f64 x 2) 4)) (-.f64 (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3))) (*.f64 x 2)))
(pow.f64 (fma.f64 2/3 (pow.f64 x 3) (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5)))) 1)
(pow.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5))))) 3)
(pow.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5)))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5))))) 2)
(sqrt.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5)))) 2))
(log.f64 (exp.f64 (fma.f64 2/3 (pow.f64 x 3) (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2/3 (pow.f64 x 3) (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5)))))))
(cbrt.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5)))) 3))
(expm1.f64 (log1p.f64 (fma.f64 2/3 (pow.f64 x 3) (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5))))))
(log1p.f64 (expm1.f64 (fma.f64 2/3 (pow.f64 x 3) (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5))))))
(exp.f64 (log.f64 (fma.f64 2/3 (pow.f64 x 3) (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 2/3 (pow.f64 x 3) (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5))))) 1))
(fma.f64 2/3 (pow.f64 x 3) (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 x 2 (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3))))
(fma.f64 x (*.f64 (pow.f64 x 2) 2/3) (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 (pow.f64 x 3) 2/3 (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 (*.f64 2/3 (pow.f64 x 3)) 1 (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)))
(fma.f64 (pow.f64 x 5) 2/5 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)))
(fma.f64 (*.f64 2/5 (pow.f64 x 5)) 1 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)))
(fma.f64 2 x (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3))))
(fma.f64 (*.f64 x 2) 1 (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3))))
(fma.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) 1 (*.f64 2/5 (pow.f64 x 5)))
(fma.f64 (pow.f64 x 2) (*.f64 x 2/3) (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 1 (*.f64 2/3 (pow.f64 x 3)) (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 1 (*.f64 2/5 (pow.f64 x 5)) (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)))
(fma.f64 1 (*.f64 x 2) (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3))))
(fma.f64 1 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) (*.f64 2/5 (pow.f64 x 5)))
(fma.f64 1 (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3))) (*.f64 x 2))
(fma.f64 (cbrt.f64 (pow.f64 x 10)) (*.f64 (cbrt.f64 (pow.f64 x 5)) 2/5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)))
(fma.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))) (pow.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))) 2) (*.f64 2/5 (pow.f64 x 5)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))) 2) (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))) (*.f64 2/5 (pow.f64 x 5)))
(fma.f64 (*.f64 x (cbrt.f64 2/3)) (pow.f64 (*.f64 x (cbrt.f64 2/3)) 2) (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 2) (*.f64 x (cbrt.f64 2/3)) (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 (cbrt.f64 (*.f64 2/5 (pow.f64 x 5))) (cbrt.f64 (*.f64 (pow.f64 x 10) 4/25)) (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 10) 4/25)) (cbrt.f64 (*.f64 2/5 (pow.f64 x 5))) (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)))
(fma.f64 (cbrt.f64 (*.f64 x 2)) (cbrt.f64 (*.f64 (pow.f64 x 2) 4)) (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3))))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 4)) (cbrt.f64 (*.f64 x 2)) (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3))))
(fma.f64 (cbrt.f64 (pow.f64 x 2)) (*.f64 (cbrt.f64 x) 2) (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3))))
(fma.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))) (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))) (*.f64 2/5 (pow.f64 x 5)))
(fma.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 (*.f64 (pow.f64 x 5/2) (sqrt.f64 2/5)) (*.f64 (pow.f64 x 5/2) (sqrt.f64 2/5)) (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)))
(fma.f64 (sqrt.f64 (*.f64 x 2)) (sqrt.f64 (*.f64 x 2)) (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3))))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 2) (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3))))
(fma.f64 (fma.f64 (pow.f64 x 3) 8 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)) (/.f64 1 (fma.f64 (*.f64 x 2) (-.f64 (*.f64 x 2) (*.f64 2/3 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 4/9))) (*.f64 2/5 (pow.f64 x 5)))
(fma.f64 (-.f64 (*.f64 (pow.f64 x 6) 4/9) (*.f64 (pow.f64 x 2) 4)) (/.f64 1 (fma.f64 2/3 (pow.f64 x 3) (*.f64 -2 x))) (*.f64 2/5 (pow.f64 x 5)))
(fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) 2/3) (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 (pow.f64 x 5/2) (*.f64 (pow.f64 x 5/2) 2/5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)))
(fma.f64 (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3))) 1 (*.f64 x 2))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3)))) (cbrt.f64 (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3))))) (cbrt.f64 (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3)))) (*.f64 x 2))
(fma.f64 (sqrt.f64 (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3)))) (*.f64 x 2))
(fma.f64 (*.f64 2/5 (cbrt.f64 (pow.f64 x 10))) (cbrt.f64 (pow.f64 x 5)) (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)))
(fma.f64 (*.f64 2/5 (pow.f64 x 5/2)) (pow.f64 x 5/2) (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)))
(fma.f64 (*.f64 2 (cbrt.f64 (pow.f64 x 2))) (cbrt.f64 x) (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3))))
(fma.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3))))
(fma.f64 (*.f64 2/3 x) (pow.f64 x 2) (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 (*.f64 2/3 (pow.f64 x 2)) x (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 (*.f64 2/3 (pow.f64 x 3/2)) (pow.f64 x 3/2) (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))
(log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2/3 (pow.f64 x 3)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27))
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))))
(exp.f64 (*.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))) 1))

simplify132.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
566×exp-prod
546×unswap-sqr
532×log-prod
516×*-commutative
502×sub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02565866
16145816
217335724
363395724
Stop Event
1×node limit
Counts
122 → 140
Calls
Call 1
Inputs
(*.f64 2 x)
(+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x))
(*.f64 2/5 (pow.f64 x 5))
(+.f64 (*.f64 2/5 (pow.f64 x 5)) (*.f64 2/3 (pow.f64 x 3)))
(*.f64 2/5 (pow.f64 x 5))
(+.f64 (*.f64 2/5 (pow.f64 x 5)) (*.f64 2/3 (pow.f64 x 3)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))
(log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2/3 (pow.f64 x 3)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27))
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))))
(exp.f64 (*.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2/5 (pow.f64 x 5)))) 1)
(pow.f64 (*.f64 2/5 (pow.f64 x 5)) 1)
(pow.f64 (cbrt.f64 (*.f64 2/5 (pow.f64 x 5))) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 8/125) 1/3)
(pow.f64 (*.f64 (pow.f64 x 5/2) (sqrt.f64 2/5)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 10) 4/25))
(log.f64 (pow.f64 (exp.f64 2/5) (pow.f64 x 5)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2/5 (pow.f64 x 5)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 8/125))
(expm1.f64 (log1p.f64 (*.f64 2/5 (pow.f64 x 5))))
(log1p.f64 (expm1.f64 (*.f64 2/5 (pow.f64 x 5))))
(exp.f64 (fma.f64 5 (log.f64 x) (log.f64 2/5)))
(exp.f64 (*.f64 (fma.f64 5 (log.f64 x) (log.f64 2/5)) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 2/3 (pow.f64 x 3) (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5)))))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 10) 4/25) (-.f64 (*.f64 2/5 (pow.f64 x 5)) (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)))) (/.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) 2) (-.f64 (*.f64 2/5 (pow.f64 x 5)) (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)))))
(*.f64 (fma.f64 2/3 (pow.f64 x 3) (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5)))) 1)
(*.f64 1 (fma.f64 2/3 (pow.f64 x 3) (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5)))))
(*.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5))))) (pow.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5))))) 2) (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5))))))
(*.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5))))) (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5))))))
(*.f64 (fma.f64 (pow.f64 (pow.f64 x 5) 3) 8/125 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) 3)) (/.f64 1 (fma.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) (-.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) (*.f64 2/5 (pow.f64 x 5))) (*.f64 (pow.f64 x 10) 4/25))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 10) 4/25) (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) 2)) (/.f64 1 (-.f64 (*.f64 2/5 (pow.f64 x 5)) (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)))))
(/.f64 1 (/.f64 (fma.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) (-.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) (*.f64 2/5 (pow.f64 x 5))) (*.f64 (pow.f64 x 10) 4/25)) (fma.f64 (pow.f64 (pow.f64 x 5) 3) 8/125 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) 3))))
(/.f64 1 (/.f64 (-.f64 (*.f64 2/5 (pow.f64 x 5)) (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))) (-.f64 (*.f64 (pow.f64 x 10) 4/25) (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) 2))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 5) 3) 8/125 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) 3)) (fma.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) (-.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) (*.f64 2/5 (pow.f64 x 5))) (*.f64 (pow.f64 x 10) 4/25)))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 5) 3) 8/125 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) 3)) (+.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) 2) (-.f64 (*.f64 (pow.f64 x 10) 4/25) (*.f64 (*.f64 2/5 (pow.f64 x 5)) (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 10) 4/25) (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) 2)) (-.f64 (*.f64 2/5 (pow.f64 x 5)) (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 x 5) 3) 8/125 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) 3))) (neg.f64 (fma.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) (-.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) (*.f64 2/5 (pow.f64 x 5))) (*.f64 (pow.f64 x 10) 4/25))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 10) 4/25) (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) 2))) (neg.f64 (-.f64 (*.f64 2/5 (pow.f64 x 5)) (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3))) 3) (*.f64 (pow.f64 x 3) 8)) (fma.f64 (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3))) (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3))) (-.f64 (*.f64 (pow.f64 x 2) 4) (*.f64 (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3))) (*.f64 x 2)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) 2) (*.f64 (pow.f64 x 10) 4/25)) (-.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) (*.f64 2/5 (pow.f64 x 5))))
(/.f64 (-.f64 (*.f64 (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3))) (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3)))) (*.f64 (pow.f64 x 2) 4)) (-.f64 (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3))) (*.f64 x 2)))
(pow.f64 (fma.f64 2/3 (pow.f64 x 3) (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5)))) 1)
(pow.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5))))) 3)
(pow.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5)))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5))))) 2)
(sqrt.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5)))) 2))
(log.f64 (exp.f64 (fma.f64 2/3 (pow.f64 x 3) (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2/3 (pow.f64 x 3) (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5)))))))
(cbrt.f64 (pow.f64 (fma.f64 2/3 (pow.f64 x 3) (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5)))) 3))
(expm1.f64 (log1p.f64 (fma.f64 2/3 (pow.f64 x 3) (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5))))))
(log1p.f64 (expm1.f64 (fma.f64 2/3 (pow.f64 x 3) (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5))))))
(exp.f64 (log.f64 (fma.f64 2/3 (pow.f64 x 3) (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 2/3 (pow.f64 x 3) (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5))))) 1))
(fma.f64 2/3 (pow.f64 x 3) (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 x 2 (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3))))
(fma.f64 x (*.f64 (pow.f64 x 2) 2/3) (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 (pow.f64 x 3) 2/3 (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 (*.f64 2/3 (pow.f64 x 3)) 1 (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)))
(fma.f64 (pow.f64 x 5) 2/5 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)))
(fma.f64 (*.f64 2/5 (pow.f64 x 5)) 1 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)))
(fma.f64 2 x (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3))))
(fma.f64 (*.f64 x 2) 1 (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3))))
(fma.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) 1 (*.f64 2/5 (pow.f64 x 5)))
(fma.f64 (pow.f64 x 2) (*.f64 x 2/3) (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 1 (*.f64 2/3 (pow.f64 x 3)) (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 1 (*.f64 2/5 (pow.f64 x 5)) (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)))
(fma.f64 1 (*.f64 x 2) (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3))))
(fma.f64 1 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)) (*.f64 2/5 (pow.f64 x 5)))
(fma.f64 1 (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3))) (*.f64 x 2))
(fma.f64 (cbrt.f64 (pow.f64 x 10)) (*.f64 (cbrt.f64 (pow.f64 x 5)) 2/5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)))
(fma.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))) (pow.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))) 2) (*.f64 2/5 (pow.f64 x 5)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))) 2) (cbrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))) (*.f64 2/5 (pow.f64 x 5)))
(fma.f64 (*.f64 x (cbrt.f64 2/3)) (pow.f64 (*.f64 x (cbrt.f64 2/3)) 2) (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 (pow.f64 (*.f64 x (cbrt.f64 2/3)) 2) (*.f64 x (cbrt.f64 2/3)) (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 (cbrt.f64 (*.f64 2/5 (pow.f64 x 5))) (cbrt.f64 (*.f64 (pow.f64 x 10) 4/25)) (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 10) 4/25)) (cbrt.f64 (*.f64 2/5 (pow.f64 x 5))) (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)))
(fma.f64 (cbrt.f64 (*.f64 x 2)) (cbrt.f64 (*.f64 (pow.f64 x 2) 4)) (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3))))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) 4)) (cbrt.f64 (*.f64 x 2)) (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3))))
(fma.f64 (cbrt.f64 (pow.f64 x 2)) (*.f64 (cbrt.f64 x) 2) (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3))))
(fma.f64 (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))) (sqrt.f64 (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2))) (*.f64 2/5 (pow.f64 x 5)))
(fma.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 (*.f64 (pow.f64 x 5/2) (sqrt.f64 2/5)) (*.f64 (pow.f64 x 5/2) (sqrt.f64 2/5)) (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)))
(fma.f64 (sqrt.f64 (*.f64 x 2)) (sqrt.f64 (*.f64 x 2)) (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3))))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 2) (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3))))
(fma.f64 (fma.f64 (pow.f64 x 3) 8 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27)) (/.f64 1 (fma.f64 (*.f64 x 2) (-.f64 (*.f64 x 2) (*.f64 2/3 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 4/9))) (*.f64 2/5 (pow.f64 x 5)))
(fma.f64 (-.f64 (*.f64 (pow.f64 x 6) 4/9) (*.f64 (pow.f64 x 2) 4)) (/.f64 1 (fma.f64 2/3 (pow.f64 x 3) (*.f64 -2 x))) (*.f64 2/5 (pow.f64 x 5)))
(fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) 2/3) (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 (pow.f64 x 5/2) (*.f64 (pow.f64 x 5/2) 2/5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)))
(fma.f64 (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3))) 1 (*.f64 x 2))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3)))) (cbrt.f64 (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3))))) (cbrt.f64 (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3)))) (*.f64 x 2))
(fma.f64 (sqrt.f64 (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3)))) (*.f64 x 2))
(fma.f64 (*.f64 2/5 (cbrt.f64 (pow.f64 x 10))) (cbrt.f64 (pow.f64 x 5)) (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)))
(fma.f64 (*.f64 2/5 (pow.f64 x 5/2)) (pow.f64 x 5/2) (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)))
(fma.f64 (*.f64 2 (cbrt.f64 (pow.f64 x 2))) (cbrt.f64 x) (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3))))
(fma.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3))))
(fma.f64 (*.f64 2/3 x) (pow.f64 x 2) (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 (*.f64 2/3 (pow.f64 x 2)) x (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 (*.f64 2/3 (pow.f64 x 3/2)) (pow.f64 x 3/2) (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))
(log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2/3 (pow.f64 x 3)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27))
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))))
(exp.f64 (*.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))) 1))
Outputs
(*.f64 2 x)
(+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x))
(*.f64 2/5 (pow.f64 x 5))
(+.f64 (*.f64 2/5 (pow.f64 x 5)) (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))
(*.f64 2/5 (pow.f64 x 5))
(+.f64 (*.f64 2/5 (pow.f64 x 5)) (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3)))
(fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3)))) 1)
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27))
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) 2)
(*.f64 2/3 (pow.f64 x 3))
(sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))
(log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))
(*.f64 2/3 (pow.f64 x 3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2/3 (pow.f64 x 3)))))
(*.f64 2/3 (pow.f64 x 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27))
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))
(*.f64 2/3 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))))
(*.f64 2/3 (pow.f64 x 3))
(exp.f64 (*.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))) 1))
(*.f64 2/3 (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2/5 (pow.f64 x 5)))) 1)
(expm1.f64 (log1p.f64 (*.f64 2/5 (pow.f64 x 5))))
(+.f64 (*.f64 2/5 (pow.f64 x 5)) 0)
(pow.f64 (*.f64 2/5 (pow.f64 x 5)) 1)
(*.f64 2/5 (pow.f64 x 5))
(pow.f64 (cbrt.f64 (*.f64 2/5 (pow.f64 x 5))) 3)
(*.f64 2/5 (pow.f64 x 5))
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 8/125) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 5) 3) 8/125))
(pow.f64 (*.f64 (pow.f64 x 5/2) (sqrt.f64 2/5)) 2)
(*.f64 2/5 (pow.f64 x 5))
(sqrt.f64 (*.f64 (pow.f64 x 10) 4/25))
(log.f64 (pow.f64 (exp.f64 2/5) (pow.f64 x 5)))
(*.f64 2/5 (pow.f64 x 5))
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(fma.f64 2/3 (pow.f64 x 3) (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3)))) (cbrt.f64 (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3))))) (cbrt.f64 (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3)))) (*.f64 x 2))
(fma.f64 2/3 (pow.f64 x 3) (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)))
(fma.f64 (sqrt.f64 (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3)))) (*.f64 x 2))
(fma.f64 2/3 (pow.f64 x 3) (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)))
(fma.f64 (*.f64 2/5 (cbrt.f64 (pow.f64 x 10))) (cbrt.f64 (pow.f64 x 5)) (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)))
(fma.f64 (cbrt.f64 (pow.f64 x 10)) (*.f64 2/5 (cbrt.f64 (pow.f64 x 5))) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)))
(fma.f64 (*.f64 2/5 (pow.f64 x 5/2)) (pow.f64 x 5/2) (fma.f64 2/3 (pow.f64 x 3) (*.f64 x 2)))
(fma.f64 2/3 (pow.f64 x 3) (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)))
(fma.f64 (*.f64 2 (cbrt.f64 (pow.f64 x 2))) (cbrt.f64 x) (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3))))
(fma.f64 (cbrt.f64 (pow.f64 x 2)) (*.f64 2 (cbrt.f64 x)) (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3))))
(fma.f64 (cbrt.f64 (pow.f64 x 2)) (*.f64 2 (cbrt.f64 x)) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 2/5 (pow.f64 x 5) (*.f64 2/3 (pow.f64 x 3))))
(fma.f64 2/3 (pow.f64 x 3) (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)))
(fma.f64 (*.f64 2/3 x) (pow.f64 x 2) (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 2/3 (pow.f64 x 3) (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)))
(fma.f64 (*.f64 2/3 (pow.f64 x 2)) x (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 2/3 (pow.f64 x 3) (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)))
(fma.f64 (*.f64 2/3 (pow.f64 x 3/2)) (pow.f64 x 3/2) (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 2/3 (pow.f64 x 3) (fma.f64 x 2 (*.f64 2/5 (pow.f64 x 5))))
(fma.f64 2/5 (pow.f64 x 5) (fma.f64 2/3 (pow.f64 x 3) (*.f64 2 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3)))) 1)
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(pow.f64 (*.f64 2/3 (pow.f64 x 3)) 1)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 2/3)) 3)
(*.f64 2/3 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27))
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 2/3)) 2)
(*.f64 2/3 (pow.f64 x 3))
(sqrt.f64 (*.f64 (pow.f64 x 6) 4/9))
(log.f64 (pow.f64 (exp.f64 2/3) (pow.f64 x 3)))
(*.f64 2/3 (pow.f64 x 3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2/3 (pow.f64 x 3)))))
(*.f64 2/3 (pow.f64 x 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) 8/27))
(expm1.f64 (log1p.f64 (*.f64 2/3 (pow.f64 x 3))))
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(log1p.f64 (expm1.f64 (*.f64 2/3 (pow.f64 x 3))))
(*.f64 2/3 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))))
(*.f64 2/3 (pow.f64 x 3))
(exp.f64 (*.f64 (log.f64 (*.f64 2/3 (pow.f64 x 3))) 1))
(*.f64 2/3 (pow.f64 x 3))

eval89.0ms (1%)

Compiler

Compiled 3657 to 3005 computations (17.8% saved)

prune23.0ms (0.3%)

Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New1550155
Fresh000
Picked044
Done022
Total1556161
Accuracy
100.0%
Counts
161 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
✓99.6%
(*.f64 1/2 (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
✓99.9%
(*.f64 1/2 (+.f64 (*.f64 2/5 (pow.f64 x 5)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x))))
✓98.9%
(*.f64 1/2 (*.f64 2 x))
✓9.0%
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
✓5.3%
(*.f64 1/2 0)
Compiler

Compiled 127 to 105 computations (17.3% saved)

regimes12.0ms (0.1%)

Counts
7 → 1
Calls
Call 1
Inputs
(*.f64 1/2 0)
(*.f64 1/2 (*.f64 2 x))
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 1/2 (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(*.f64 1/2 (+.f64 (*.f64 2/5 (pow.f64 x 5)) (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x))))
Outputs
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
Calls

4 calls:

4.0ms
x
3.0ms
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
2.0ms
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
2.0ms
(/.f64 (+.f64 1 x) (-.f64 1 x))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
100.0%1(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
100.0%1(/.f64 (+.f64 1 x) (-.f64 1 x))
Compiler

Compiled 32 to 25 computations (21.9% saved)

regimes12.0ms (0.1%)

Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 1/2 0)
(*.f64 1/2 (*.f64 2 x))
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 1/2 (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
Outputs
(*.f64 1/2 (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
Calls

4 calls:

4.0ms
x
2.0ms
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
2.0ms
(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
2.0ms
(/.f64 (+.f64 1 x) (-.f64 1 x))
Results
AccuracySegmentsBranch
99.6%1x
99.6%1(*.f64 (/.f64 1 2) (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
99.6%1(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
99.6%1(/.f64 (+.f64 1 x) (-.f64 1 x))
Compiler

Compiled 32 to 25 computations (21.9% saved)

regimes8.0ms (0.1%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 1/2 0)
(*.f64 1/2 (*.f64 2 x))
(*.f64 1/2 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
Outputs
(*.f64 1/2 (*.f64 2 x))
Calls

3 calls:

3.0ms
x
2.0ms
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
2.0ms
(/.f64 (+.f64 1 x) (-.f64 1 x))
Results
AccuracySegmentsBranch
98.9%1x
98.9%1(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
98.9%1(/.f64 (+.f64 1 x) (-.f64 1 x))
Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes4.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 1/2 0)
Outputs
(*.f64 1/2 0)
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
5.3%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify6.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
14×*-commutative
8×+-commutative
6×sub-neg
4×neg-sub0
4×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02385
13485
23985
34285
44385
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(*.f64 1/2 (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
(*.f64 1/2 (*.f64 2 x))
(*.f64 1/2 0)
Outputs
(*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(*.f64 1/2 (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 2 x)))
(*.f64 1/2 (+.f64 (*.f64 2/3 (pow.f64 x 3)) (*.f64 x 2)))
(*.f64 1/2 (*.f64 2 x))
(*.f64 1/2 (*.f64 x 2))
(*.f64 1/2 0)
0
Compiler

Compiled 29 to 24 computations (17.2% saved)

soundness1.7s (18.3%)

Rules
1682×fma-neg
1682×fma-neg
1238×distribute-lft-in
1238×distribute-lft-in
1236×prod-diff
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022144
151124
285124
3166124
4374124
5723124
61593124
72425124
84055124
94965124
105290124
115755124
125971124
136018124
146386124
156644124
166818124
177274124
187540124
197604124
207662124
217678124
227678124
022144
151124
285124
3166124
4374124
5723124
61593124
72425124
84055124
94965124
105290124
115755124
125971124
136018124
146386124
156644124
166818124
177274124
187540124
197604124
207662124
217678124
227678124
01575
121867
2294967
04373185
111653010
224382908
377072908
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 235 to 160 computations (31.9% saved)

end0.0ms (0%)

preprocess47.0ms (0.5%)

Remove

(negabs x)

Compiler

Compiled 168 to 134 computations (20.2% saved)

Profiling

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