expq2 (section 3.11)

Time bar (total: 3.1s)

analyze158.0ms (5.1%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%75.2%24.8%0%0%0%0
0%0%75.2%24.8%0%0%0%1
0%0%75.2%24.8%0%0%0%2
25%18.8%56.4%24.8%0%0%0%3
25%18.8%56.4%24.8%0%0%0%4
31.3%23.5%51.7%24.8%0%0%0%5
37.5%28.2%47%24.8%0%0%0%6
39.1%29.4%45.8%24.8%0%0%0%7
40.6%30.5%44.6%24.8%0%0%0%8
41.4%31.1%44.1%24.8%0%0%0%9
41.6%31.3%43.9%24.8%0%0%0%10
41.8%31.4%43.8%24.8%0%0%0%11
41.8%31.4%43.8%24.8%0%0%0%12
Compiler

Compiled 11 to 7 computations (36.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
Operation ival-exp, time spent: 22.0ms, 37.0% of total-time
Operation ival-sub, time spent: 16.0ms, 27.0% of total-time
Operation ival->, time spent: 12.0ms, 20.0% of total-time
Operation ival-div, time spent: 7.0ms, 12.0% of total-time
Operation const, time spent: 3.0ms, 5.0% of total-time

sample1.5s (49.3%)

Results
774.0ms4244×1valid
276.0ms3101×0valid
362.0ms909×2valid
0.0ms1×1valid
0.0ms1×1infinite
Precisions
Click to see histograms. Total time spent on operations: 788.0ms
Operation ival-exp, time spent: 441.0ms, 56.0% of total-time
Operation ival-sub, time spent: 98.0ms, 12.0% of total-time
Operation ival-div, time spent: 84.0ms, 11.0% of total-time
Operation ival->, time spent: 73.0ms, 9.0% of total-time
Operation backward-pass, time spent: 71.0ms, 9.0% of total-time
Operation const, time spent: 22.0ms, 3.0% of total-time
Bogosity

preprocess206.0ms (6.6%)

Algorithm
1×egg-herbie
Rules
1268×fma-neg
1090×associate-*r/
888×associate-/r*
722×distribute-lft-neg-in
682×associate-*l/
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1540-0-(-.f64 (exp.f64 x) 1)
00-0-x
00-0-(exp.f64 x)
00-0-(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
00-0-1
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
015104
135102
256102
398102
419076
554568
6227668
7632364
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) 1))
(neg.f64 (/.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) 1)))
Outputs
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 (exp.f64 (neg.f64 x)) (expm1.f64 (neg.f64 x)))
(/.f64 1 (-.f64 0 (expm1.f64 x)))
(/.f64 1 (neg.f64 (expm1.f64 x)))
(/.f64 -1 (expm1.f64 x))
(neg.f64 (/.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) 1)))
(/.f64 (exp.f64 (neg.f64 x)) (neg.f64 (expm1.f64 (neg.f64 x))))
(/.f64 (/.f64 -1 (exp.f64 x)) (expm1.f64 (neg.f64 x)))
(/.f64 -1 (*.f64 (exp.f64 x) (expm1.f64 (neg.f64 x))))
(/.f64 1 (expm1.f64 x))
Compiler

Compiled 42 to 23 computations (45.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
Operation ival-exp, time spent: 22.0ms, 54.0% of total-time
Operation ival-sub, time spent: 12.0ms, 29.0% of total-time
Operation ival-div, time spent: 5.0ms, 12.0% of total-time
Operation const, time spent: 2.0ms, 5.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 11 to 8 computations (27.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (exp.f64 x) (expm1.f64 x))
▶100.0%
(/.f64 -1 (expm1.f64 (neg.f64 x)))
Compiler

Compiled 12 to 9 computations (25% saved)

localize95.0ms (3.1%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
✓100.0%
(/.f64 (exp.f64 x) (expm1.f64 x))
✓100.0%
(/.f64 -1 (expm1.f64 (neg.f64 x)))
Compiler

Compiled 24 to 10 computations (58.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 73.0ms
Operation composed, time spent: 29.0ms, 40.0% of total-time
Operation ival-exp, time spent: 27.0ms, 37.0% of total-time
Operation ival-sub, time spent: 7.0ms, 10.0% of total-time
Operation ival-div, time spent: 6.0ms, 8.0% of total-time
Operation ival-neg, time spent: 2.0ms, 3.0% of total-time
Operation const, time spent: 1.0ms, 1.0% of total-time

series6.0ms (0.2%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/.f64 (exp.f64 x) (expm1.f64 x))
1.0ms
x
@inf
(/.f64 -1 (expm1.f64 (neg.f64 x)))
1.0ms
x
@-inf
(/.f64 -1 (expm1.f64 (neg.f64 x)))
1.0ms
x
@-inf
(/.f64 (exp.f64 x) (expm1.f64 x))
1.0ms
x
@0
(/.f64 -1 (expm1.f64 (neg.f64 x)))

rewrite195.0ms (6.3%)

Algorithm
1×batch-egg-rewrite
Rules
1040×unpow-prod-down
588×log-prod
526×log1p-expm1-u
524×expm1-log1p-u
468×pow1
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01339
115135
2201234
Stop Event
1×node limit
Counts
2 → 121
Calls
Call 1
Inputs
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
Outputs
(+.f64 0 (/.f64 -1 (expm1.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (expm1.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (expm1.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (expm1.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (expm1.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (expm1.f64 x)))) 1)
(*.f64 -1 (/.f64 1 (expm1.f64 x)))
(*.f64 (/.f64 -1 (expm1.f64 x)) 1)
(*.f64 (/.f64 -1 (expm1.f64 x)) (log.f64 (exp.f64 1)))
(*.f64 1 (/.f64 -1 (expm1.f64 x)))
(*.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x))) (cbrt.f64 (pow.f64 (expm1.f64 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -2)) (cbrt.f64 (/.f64 -1 (expm1.f64 x))))
(*.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -1/2) (pow.f64 (neg.f64 (expm1.f64 x)) -1/2))
(*.f64 (/.f64 1 (expm1.f64 x)) -1)
(*.f64 (/.f64 1 (expm1.f64 x)) (log.f64 (exp.f64 -1)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (pow.f64 (neg.f64 (cbrt.f64 (expm1.f64 x))) -1))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) -1) -1))
(*.f64 (pow.f64 (expm1.f64 x) -1/2) (pow.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) -1))
(*.f64 (pow.f64 (expm1.f64 x) -1/2) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) -1) -1))
(*.f64 (pow.f64 1 1/3) (/.f64 -1 (expm1.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 -1) 3) (/.f64 1 (expm1.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x)))) 2) 3) (cbrt.f64 (/.f64 -1 (expm1.f64 x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (expm1.f64 x) -2) -1) 1/3) (cbrt.f64 (/.f64 1 (expm1.f64 x))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (expm1.f64 x) -2) (cbrt.f64 (pow.f64 (expm1.f64 x) -2))) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 -1 (expm1.f64 x)) 5/2) 1/3) (cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -1/2)))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (/.f64 1 (expm1.f64 x)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) -1) (pow.f64 (expm1.f64 x) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (neg.f64 (expm1.f64 x))) 2) -1) (cbrt.f64 (/.f64 -1 (expm1.f64 x))))
(*.f64 (pow.f64 (neg.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) -1) (pow.f64 (cbrt.f64 (expm1.f64 x)) -1))
(pow.f64 (/.f64 -1 (expm1.f64 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x))) 3)
(pow.f64 (pow.f64 (expm1.f64 x) -2) 1/2)
(pow.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -3) 1/3)
(pow.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -1/2) 2)
(pow.f64 (neg.f64 (expm1.f64 x)) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 -1 (expm1.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 (expm1.f64 x)))) 2)) (cbrt.f64 (log.f64 (/.f64 -1 (expm1.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -1 (expm1.f64 x))))) (sqrt.f64 (log.f64 (/.f64 -1 (expm1.f64 x)))))
(neg.f64 (/.f64 1 (expm1.f64 x)))
(sqrt.f64 (pow.f64 (expm1.f64 x) -2))
(log.f64 (exp.f64 (/.f64 -1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -3))
(expm1.f64 (log1p.f64 (/.f64 -1 (expm1.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 -1 (expm1.f64 x))))
(exp.f64 (log.f64 (/.f64 -1 (expm1.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 -1 (expm1.f64 x))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -3)) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -1/2)) 2))
(exp.f64 (*.f64 (log.f64 (neg.f64 (expm1.f64 x))) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 -1 (expm1.f64 x))) 1) 1))
(+.f64 0 (/.f64 1 (-.f64 1 (exp.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (exp.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (exp.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (exp.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (exp.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 1 (exp.f64 x))))) 1)
(*.f64 (exp.f64 x) (/.f64 1 (expm1.f64 x)))
(*.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) 1)
(*.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) (log.f64 (exp.f64 1)))
(*.f64 1 (/.f64 1 (-.f64 1 (exp.f64 x))))
(*.f64 (cbrt.f64 (exp.f64 (*.f64 2 x))) (/.f64 (cbrt.f64 (exp.f64 x)) (expm1.f64 x)))
(*.f64 (cbrt.f64 (exp.f64 (*.f64 2 x))) (*.f64 (cbrt.f64 (exp.f64 x)) (/.f64 1 (expm1.f64 x))))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 x)))) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -2)) (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 x)))))
(*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)))
(*.f64 (sqrt.f64 (exp.f64 x)) (*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 (expm1.f64 x))))
(*.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -1/2) (pow.f64 (-.f64 1 (exp.f64 x)) -1/2))
(*.f64 (neg.f64 (exp.f64 x)) (/.f64 -1 (expm1.f64 x)))
(*.f64 (/.f64 1 (expm1.f64 x)) (exp.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (exp.f64 x)) -1))
(*.f64 (pow.f64 (expm1.f64 x) -1/2) (/.f64 (exp.f64 x) (sqrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (expm1.f64 x) -1/2) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (exp.f64 x)) -1))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 (*.f64 2 x))) 1) (/.f64 (cbrt.f64 (exp.f64 x)) (expm1.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 (*.f64 2 x))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 (*.f64 2 x))) (sqrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 (exp.f64 x)) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) 1) (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (sqrt.f64 (exp.f64 x)) (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (-.f64 1 (exp.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 x))))) 2) 3) (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 x)))))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 x))))) 3) (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 x))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -2) (exp.f64 x)) 1/3) (cbrt.f64 (/.f64 1 (expm1.f64 x))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -2) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -2))) 1/3) (cbrt.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 x))))))
(*.f64 (pow.f64 (pow.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) 5/2) 1/3) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (exp.f64 x))) 2) -1) (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) -2) -1) (pow.f64 (/.f64 (expm1.f64 x) (cbrt.f64 (exp.f64 x))) -1))
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) -1/2) -1) (pow.f64 (/.f64 (expm1.f64 x) (sqrt.f64 (exp.f64 x))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (exp.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (exp.f64 (*.f64 2 x)))) -1) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (exp.f64 x))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 (exp.f64 x))) -1) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 (exp.f64 x))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (exp.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 (exp.f64 (*.f64 2 x)))) -1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 (exp.f64 x))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (exp.f64 x))) -1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (exp.f64 x))) -1))
(pow.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -2) 1/2)
(pow.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -3) 1/3)
(pow.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -1/2) 2)
(pow.f64 (-.f64 1 (exp.f64 x)) -1)
(pow.f64 (exp.f64 1) (-.f64 x (log.f64 (expm1.f64 x))))
(pow.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (expm1.f64 x) 3)) 1/3)
(pow.f64 (/.f64 (-.f64 1 (exp.f64 x)) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) 2)) (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x))))) (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(neg.f64 (/.f64 (exp.f64 x) (neg.f64 (expm1.f64 x))))
(neg.f64 (/.f64 (neg.f64 (exp.f64 x)) (expm1.f64 x)))
(sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 1 (exp.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -3))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (expm1.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1 (exp.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 1 (exp.f64 x)))))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
(exp.f64 (*.f64 (-.f64 x (log.f64 (expm1.f64 x))) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (-.f64 1 (exp.f64 x))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -3)) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -1/2)) 2))
(exp.f64 (*.f64 (log.f64 (-.f64 1 (exp.f64 x))) -1))
(exp.f64 (*.f64 (*.f64 (-.f64 x (log.f64 (expm1.f64 x))) 1) 1))
(exp.f64 (+.f64 (+.f64 (log.f64 -1) x) (*.f64 (log.f64 (/.f64 -1 (expm1.f64 x))) 1)))
(exp.f64 (-.f64 x (*.f64 (log.f64 (expm1.f64 x)) 1)))

simplify119.0ms (3.8%)

Algorithm
1×egg-herbie
Rules
1018×times-frac
958×fma-neg
700×fma-define
678×unswap-sqr
676×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03504001
18473887
222673807
374903807
Stop Event
1×node limit
Counts
145 → 187
Calls
Call 1
Inputs
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 1/2 (+.f64 (*.f64 -1/720 (pow.f64 x 3)) (+.f64 (*.f64 1/12 x) (/.f64 1 x))))
(/.f64 -1 (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 -1 (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 -1 (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 -1 (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 -1 (-.f64 (exp.f64 (*.f64 -1 x)) 1))
(/.f64 -1 (-.f64 (exp.f64 (*.f64 -1 x)) 1))
(/.f64 -1 (-.f64 (exp.f64 (*.f64 -1 x)) 1))
(/.f64 -1 (-.f64 (exp.f64 (*.f64 -1 x)) 1))
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 1/2 (+.f64 (*.f64 -1/720 (pow.f64 x 3)) (+.f64 (*.f64 1/12 x) (/.f64 1 x))))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(+.f64 0 (/.f64 -1 (expm1.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (expm1.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (expm1.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (expm1.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (expm1.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (expm1.f64 x)))) 1)
(*.f64 -1 (/.f64 1 (expm1.f64 x)))
(*.f64 (/.f64 -1 (expm1.f64 x)) 1)
(*.f64 (/.f64 -1 (expm1.f64 x)) (log.f64 (exp.f64 1)))
(*.f64 1 (/.f64 -1 (expm1.f64 x)))
(*.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x))) (cbrt.f64 (pow.f64 (expm1.f64 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -2)) (cbrt.f64 (/.f64 -1 (expm1.f64 x))))
(*.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -1/2) (pow.f64 (neg.f64 (expm1.f64 x)) -1/2))
(*.f64 (/.f64 1 (expm1.f64 x)) -1)
(*.f64 (/.f64 1 (expm1.f64 x)) (log.f64 (exp.f64 -1)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (pow.f64 (neg.f64 (cbrt.f64 (expm1.f64 x))) -1))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) -1) -1))
(*.f64 (pow.f64 (expm1.f64 x) -1/2) (pow.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) -1))
(*.f64 (pow.f64 (expm1.f64 x) -1/2) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) -1) -1))
(*.f64 (pow.f64 1 1/3) (/.f64 -1 (expm1.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 -1) 3) (/.f64 1 (expm1.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x)))) 2) 3) (cbrt.f64 (/.f64 -1 (expm1.f64 x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (expm1.f64 x) -2) -1) 1/3) (cbrt.f64 (/.f64 1 (expm1.f64 x))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (expm1.f64 x) -2) (cbrt.f64 (pow.f64 (expm1.f64 x) -2))) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 -1 (expm1.f64 x)) 5/2) 1/3) (cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -1/2)))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (/.f64 1 (expm1.f64 x)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) -1) (pow.f64 (expm1.f64 x) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (neg.f64 (expm1.f64 x))) 2) -1) (cbrt.f64 (/.f64 -1 (expm1.f64 x))))
(*.f64 (pow.f64 (neg.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) -1) (pow.f64 (cbrt.f64 (expm1.f64 x)) -1))
(pow.f64 (/.f64 -1 (expm1.f64 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x))) 3)
(pow.f64 (pow.f64 (expm1.f64 x) -2) 1/2)
(pow.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -3) 1/3)
(pow.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -1/2) 2)
(pow.f64 (neg.f64 (expm1.f64 x)) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 -1 (expm1.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 (expm1.f64 x)))) 2)) (cbrt.f64 (log.f64 (/.f64 -1 (expm1.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -1 (expm1.f64 x))))) (sqrt.f64 (log.f64 (/.f64 -1 (expm1.f64 x)))))
(neg.f64 (/.f64 1 (expm1.f64 x)))
(sqrt.f64 (pow.f64 (expm1.f64 x) -2))
(log.f64 (exp.f64 (/.f64 -1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -3))
(expm1.f64 (log1p.f64 (/.f64 -1 (expm1.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 -1 (expm1.f64 x))))
(exp.f64 (log.f64 (/.f64 -1 (expm1.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 -1 (expm1.f64 x))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -3)) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -1/2)) 2))
(exp.f64 (*.f64 (log.f64 (neg.f64 (expm1.f64 x))) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 -1 (expm1.f64 x))) 1) 1))
(+.f64 0 (/.f64 1 (-.f64 1 (exp.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (exp.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (exp.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (exp.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (exp.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 1 (exp.f64 x))))) 1)
(*.f64 (exp.f64 x) (/.f64 1 (expm1.f64 x)))
(*.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) 1)
(*.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) (log.f64 (exp.f64 1)))
(*.f64 1 (/.f64 1 (-.f64 1 (exp.f64 x))))
(*.f64 (cbrt.f64 (exp.f64 (*.f64 2 x))) (/.f64 (cbrt.f64 (exp.f64 x)) (expm1.f64 x)))
(*.f64 (cbrt.f64 (exp.f64 (*.f64 2 x))) (*.f64 (cbrt.f64 (exp.f64 x)) (/.f64 1 (expm1.f64 x))))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 x)))) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -2)) (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 x)))))
(*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)))
(*.f64 (sqrt.f64 (exp.f64 x)) (*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 (expm1.f64 x))))
(*.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -1/2) (pow.f64 (-.f64 1 (exp.f64 x)) -1/2))
(*.f64 (neg.f64 (exp.f64 x)) (/.f64 -1 (expm1.f64 x)))
(*.f64 (/.f64 1 (expm1.f64 x)) (exp.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (exp.f64 x)) -1))
(*.f64 (pow.f64 (expm1.f64 x) -1/2) (/.f64 (exp.f64 x) (sqrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (expm1.f64 x) -1/2) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (exp.f64 x)) -1))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 (*.f64 2 x))) 1) (/.f64 (cbrt.f64 (exp.f64 x)) (expm1.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 (*.f64 2 x))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 (*.f64 2 x))) (sqrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 (exp.f64 x)) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) 1) (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (sqrt.f64 (exp.f64 x)) (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (-.f64 1 (exp.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 x))))) 2) 3) (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 x)))))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 x))))) 3) (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 x))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -2) (exp.f64 x)) 1/3) (cbrt.f64 (/.f64 1 (expm1.f64 x))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -2) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -2))) 1/3) (cbrt.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 x))))))
(*.f64 (pow.f64 (pow.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) 5/2) 1/3) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (exp.f64 x))) 2) -1) (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) -2) -1) (pow.f64 (/.f64 (expm1.f64 x) (cbrt.f64 (exp.f64 x))) -1))
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) -1/2) -1) (pow.f64 (/.f64 (expm1.f64 x) (sqrt.f64 (exp.f64 x))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (exp.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (exp.f64 (*.f64 2 x)))) -1) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (exp.f64 x))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 (exp.f64 x))) -1) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 (exp.f64 x))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (exp.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 (exp.f64 (*.f64 2 x)))) -1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 (exp.f64 x))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (exp.f64 x))) -1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (exp.f64 x))) -1))
(pow.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -2) 1/2)
(pow.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -3) 1/3)
(pow.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -1/2) 2)
(pow.f64 (-.f64 1 (exp.f64 x)) -1)
(pow.f64 (exp.f64 1) (-.f64 x (log.f64 (expm1.f64 x))))
(pow.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (expm1.f64 x) 3)) 1/3)
(pow.f64 (/.f64 (-.f64 1 (exp.f64 x)) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) 2)) (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x))))) (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(neg.f64 (/.f64 (exp.f64 x) (neg.f64 (expm1.f64 x))))
(neg.f64 (/.f64 (neg.f64 (exp.f64 x)) (expm1.f64 x)))
(sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 1 (exp.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -3))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (expm1.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1 (exp.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 1 (exp.f64 x)))))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
(exp.f64 (*.f64 (-.f64 x (log.f64 (expm1.f64 x))) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (-.f64 1 (exp.f64 x))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -3)) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -1/2)) 2))
(exp.f64 (*.f64 (log.f64 (-.f64 1 (exp.f64 x))) -1))
(exp.f64 (*.f64 (*.f64 (-.f64 x (log.f64 (expm1.f64 x))) 1) 1))
(exp.f64 (+.f64 (+.f64 (log.f64 -1) x) (*.f64 (log.f64 (/.f64 -1 (expm1.f64 x))) 1)))
(exp.f64 (-.f64 x (*.f64 (log.f64 (expm1.f64 x)) 1)))
Outputs
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 (/.f64 1 x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 1/2 (fma.f64 1/12 x (/.f64 1 x)))
(+.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x)))
(+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2))
(+.f64 1/2 (+.f64 (*.f64 -1/720 (pow.f64 x 3)) (+.f64 (*.f64 1/12 x) (/.f64 1 x))))
(+.f64 1/2 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 1/12 x (/.f64 1 x))))
(+.f64 1/2 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))))
(+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 -1/720 (pow.f64 x 3) 1/2))
(/.f64 -1 (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 -1 (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 -1 (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 -1 (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 -1 (-.f64 (exp.f64 (*.f64 -1 x)) 1))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 -1 (-.f64 (exp.f64 (*.f64 -1 x)) 1))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 -1 (-.f64 (exp.f64 (*.f64 -1 x)) 1))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 -1 (-.f64 (exp.f64 (*.f64 -1 x)) 1))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 (/.f64 1 x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 1/2 (fma.f64 1/12 x (/.f64 1 x)))
(+.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x)))
(+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2))
(+.f64 1/2 (+.f64 (*.f64 -1/720 (pow.f64 x 3)) (+.f64 (*.f64 1/12 x) (/.f64 1 x))))
(+.f64 1/2 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 1/12 x (/.f64 1 x))))
(+.f64 1/2 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))))
(+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 -1/720 (pow.f64 x 3) 1/2))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(+.f64 0 (/.f64 -1 (expm1.f64 x)))
(/.f64 -1 (expm1.f64 x))
(/.f64 1 (expm1.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (expm1.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (expm1.f64 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (expm1.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (expm1.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (expm1.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (expm1.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (expm1.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (expm1.f64 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (expm1.f64 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (expm1.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (expm1.f64 x)))) 1)
(/.f64 -1 (expm1.f64 x))
(/.f64 1 (expm1.f64 x))
(*.f64 -1 (/.f64 1 (expm1.f64 x)))
(/.f64 -1 (expm1.f64 x))
(/.f64 1 (expm1.f64 x))
(*.f64 (/.f64 -1 (expm1.f64 x)) 1)
(/.f64 -1 (expm1.f64 x))
(/.f64 1 (expm1.f64 x))
(*.f64 (/.f64 -1 (expm1.f64 x)) (log.f64 (exp.f64 1)))
(/.f64 -1 (expm1.f64 x))
(/.f64 1 (expm1.f64 x))
(*.f64 1 (/.f64 -1 (expm1.f64 x)))
(/.f64 -1 (expm1.f64 x))
(/.f64 1 (expm1.f64 x))
(*.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x))) (cbrt.f64 (pow.f64 (expm1.f64 x) -2)))
(/.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -2)) (cbrt.f64 (neg.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -2)) (cbrt.f64 (/.f64 -1 (expm1.f64 x))))
(*.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x))) (cbrt.f64 (pow.f64 (expm1.f64 x) -2)))
(/.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -2)) (cbrt.f64 (neg.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -1/2) (pow.f64 (neg.f64 (expm1.f64 x)) -1/2))
(/.f64 -1 (expm1.f64 x))
(/.f64 1 (expm1.f64 x))
(*.f64 (/.f64 1 (expm1.f64 x)) -1)
(/.f64 -1 (expm1.f64 x))
(/.f64 1 (expm1.f64 x))
(*.f64 (/.f64 1 (expm1.f64 x)) (log.f64 (exp.f64 -1)))
(/.f64 -1 (expm1.f64 x))
(/.f64 1 (expm1.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (pow.f64 (neg.f64 (cbrt.f64 (expm1.f64 x))) -1))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (/.f64 1 (neg.f64 (cbrt.f64 (expm1.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (/.f64 -1 (cbrt.f64 (expm1.f64 x))))
(/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (neg.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) -1) -1))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (/.f64 1 (neg.f64 (cbrt.f64 (expm1.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (/.f64 -1 (cbrt.f64 (expm1.f64 x))))
(/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (neg.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (expm1.f64 x) -1/2) (pow.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) -1))
(*.f64 (pow.f64 (expm1.f64 x) -1/2) (/.f64 1 (neg.f64 (sqrt.f64 (expm1.f64 x)))))
(*.f64 (pow.f64 (expm1.f64 x) -1/2) (/.f64 -1 (sqrt.f64 (expm1.f64 x))))
(/.f64 (pow.f64 (expm1.f64 x) -1/2) (neg.f64 (sqrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (expm1.f64 x) -1/2) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) -1) -1))
(*.f64 (pow.f64 (expm1.f64 x) -1/2) (/.f64 1 (neg.f64 (sqrt.f64 (expm1.f64 x)))))
(*.f64 (pow.f64 (expm1.f64 x) -1/2) (/.f64 -1 (sqrt.f64 (expm1.f64 x))))
(/.f64 (pow.f64 (expm1.f64 x) -1/2) (neg.f64 (sqrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 1 1/3) (/.f64 -1 (expm1.f64 x)))
(/.f64 -1 (expm1.f64 x))
(/.f64 1 (expm1.f64 x))
(*.f64 (pow.f64 (cbrt.f64 -1) 3) (/.f64 1 (expm1.f64 x)))
(/.f64 -1 (expm1.f64 x))
(/.f64 1 (expm1.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x)))) 2) 3) (cbrt.f64 (/.f64 -1 (expm1.f64 x))))
(/.f64 -1 (expm1.f64 x))
(/.f64 1 (expm1.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x)))) 3))
(/.f64 -1 (expm1.f64 x))
(/.f64 1 (expm1.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -3))))
(*.f64 (cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -3/2)) (cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -3/2)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (expm1.f64 x) -2) -1) 1/3) (cbrt.f64 (/.f64 1 (expm1.f64 x))))
(*.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x))) (cbrt.f64 (pow.f64 (expm1.f64 x) -2)))
(/.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -2)) (cbrt.f64 (neg.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (expm1.f64 x) -2) (cbrt.f64 (pow.f64 (expm1.f64 x) -2))) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x)))) (cbrt.f64 (*.f64 (pow.f64 (expm1.f64 x) -2) (cbrt.f64 (pow.f64 (expm1.f64 x) -2)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (expm1.f64 x) -2) (cbrt.f64 (pow.f64 (expm1.f64 x) -2)))) (cbrt.f64 (cbrt.f64 (/.f64 1 (expm1.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 -1 (expm1.f64 x)) 5/2) 1/3) (cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (expm1.f64 x)) 5/2)) (cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -1/2)) (cbrt.f64 (pow.f64 (/.f64 -1 (expm1.f64 x)) 5/2)))
(*.f64 (cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -1/2)) (cbrt.f64 (pow.f64 (/.f64 1 (expm1.f64 x)) 5/2)))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (/.f64 1 (expm1.f64 x)))
(/.f64 -1 (expm1.f64 x))
(/.f64 1 (expm1.f64 x))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) -1) (pow.f64 (expm1.f64 x) -1/2))
(*.f64 (pow.f64 (expm1.f64 x) -1/2) (/.f64 1 (neg.f64 (sqrt.f64 (expm1.f64 x)))))
(*.f64 (pow.f64 (expm1.f64 x) -1/2) (/.f64 -1 (sqrt.f64 (expm1.f64 x))))
(/.f64 (pow.f64 (expm1.f64 x) -1/2) (neg.f64 (sqrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (neg.f64 (expm1.f64 x))) 2) -1) (cbrt.f64 (/.f64 -1 (expm1.f64 x))))
(/.f64 -1 (expm1.f64 x))
(/.f64 1 (expm1.f64 x))
(*.f64 (pow.f64 (neg.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) -1) (pow.f64 (cbrt.f64 (expm1.f64 x)) -1))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (/.f64 1 (neg.f64 (cbrt.f64 (expm1.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (/.f64 -1 (cbrt.f64 (expm1.f64 x))))
(/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (neg.f64 (cbrt.f64 (expm1.f64 x))))
(pow.f64 (/.f64 -1 (expm1.f64 x)) 1)
(/.f64 -1 (expm1.f64 x))
(/.f64 1 (expm1.f64 x))
(pow.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x))) 3)
(/.f64 -1 (expm1.f64 x))
(/.f64 1 (expm1.f64 x))
(pow.f64 (pow.f64 (expm1.f64 x) -2) 1/2)
(/.f64 -1 (expm1.f64 x))
(/.f64 1 (expm1.f64 x))
(pow.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -3) 1/3)
(/.f64 -1 (expm1.f64 x))
(/.f64 1 (expm1.f64 x))
(pow.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -1/2) 2)
(/.f64 -1 (expm1.f64 x))
(/.f64 1 (expm1.f64 x))
(pow.f64 (neg.f64 (expm1.f64 x)) -1)
(/.f64 -1 (expm1.f64 x))
(/.f64 1 (expm1.f64 x))
(pow.f64 (exp.f64 1) (log.f64 (/.f64 -1 (expm1.f64 x))))
(/.f64 -1 (expm1.f64 x))
(/.f64 1 (expm1.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 (expm1.f64 x)))) 2)) (cbrt.f64 (log.f64 (/.f64 -1 (expm1.f64 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (expm1.f64 x)))) 2)) (cbrt.f64 (neg.f64 (log.f64 (expm1.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -1 (expm1.f64 x))))) (sqrt.f64 (log.f64 (/.f64 -1 (expm1.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (expm1.f64 x))))) (sqrt.f64 (neg.f64 (log.f64 (expm1.f64 x)))))
(neg.f64 (/.f64 1 (expm1.f64 x)))
(/.f64 -1 (expm1.f64 x))
(/.f64 1 (expm1.f64 x))
(sqrt.f64 (pow.f64 (expm1.f64 x) -2))
(/.f64 -1 (expm1.f64 x))
(/.f64 1 (expm1.f64 x))
(log.f64 (exp.f64 (/.f64 -1 (expm1.f64 x))))
(/.f64 -1 (expm1.f64 x))
(/.f64 1 (expm1.f64 x))
(cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -3))
(/.f64 -1 (expm1.f64 x))
(/.f64 1 (expm1.f64 x))
(expm1.f64 (log1p.f64 (/.f64 -1 (expm1.f64 x))))
(/.f64 -1 (expm1.f64 x))
(/.f64 1 (expm1.f64 x))
(log1p.f64 (expm1.f64 (/.f64 -1 (expm1.f64 x))))
(/.f64 -1 (expm1.f64 x))
(/.f64 1 (expm1.f64 x))
(exp.f64 (log.f64 (/.f64 -1 (expm1.f64 x))))
(/.f64 -1 (expm1.f64 x))
(/.f64 1 (expm1.f64 x))
(exp.f64 (*.f64 (log.f64 (/.f64 -1 (expm1.f64 x))) 1))
(/.f64 -1 (expm1.f64 x))
(/.f64 1 (expm1.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x)))) 3))
(/.f64 -1 (expm1.f64 x))
(/.f64 1 (expm1.f64 x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -3)) 1/3))
(/.f64 -1 (expm1.f64 x))
(/.f64 1 (expm1.f64 x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -1/2)) 2))
(/.f64 -1 (expm1.f64 x))
(/.f64 1 (expm1.f64 x))
(exp.f64 (*.f64 (log.f64 (neg.f64 (expm1.f64 x))) -1))
(/.f64 -1 (expm1.f64 x))
(/.f64 1 (expm1.f64 x))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 -1 (expm1.f64 x))) 1) 1))
(/.f64 -1 (expm1.f64 x))
(/.f64 1 (expm1.f64 x))
(+.f64 0 (/.f64 1 (-.f64 1 (exp.f64 x))))
(/.f64 -1 (expm1.f64 x))
(/.f64 1 (expm1.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (exp.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (exp.f64 x)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (expm1.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (expm1.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (expm1.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (expm1.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (exp.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (exp.f64 x)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (expm1.f64 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (expm1.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 1 (exp.f64 x))))) 1)
(/.f64 -1 (expm1.f64 x))
(/.f64 1 (expm1.f64 x))
(*.f64 (exp.f64 x) (/.f64 1 (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) 1)
(/.f64 -1 (expm1.f64 x))
(/.f64 1 (expm1.f64 x))
(*.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) (log.f64 (exp.f64 1)))
(/.f64 -1 (expm1.f64 x))
(/.f64 1 (expm1.f64 x))
(*.f64 1 (/.f64 1 (-.f64 1 (exp.f64 x))))
(/.f64 -1 (expm1.f64 x))
(/.f64 1 (expm1.f64 x))
(*.f64 (cbrt.f64 (exp.f64 (*.f64 2 x))) (/.f64 (cbrt.f64 (exp.f64 x)) (expm1.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 2) x)) (/.f64 (cbrt.f64 (exp.f64 x)) (expm1.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (/.f64 (cbrt.f64 (exp.f64 x)) (expm1.f64 x)))
(*.f64 (cbrt.f64 (exp.f64 (*.f64 2 x))) (*.f64 (cbrt.f64 (exp.f64 x)) (/.f64 1 (expm1.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 2) x)) (/.f64 (cbrt.f64 (exp.f64 x)) (expm1.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (/.f64 (cbrt.f64 (exp.f64 x)) (expm1.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 x)))) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -2)))
(*.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x))) (cbrt.f64 (pow.f64 (expm1.f64 x) -2)))
(/.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -2)) (cbrt.f64 (neg.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -2)) (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 x)))))
(*.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x))) (cbrt.f64 (pow.f64 (expm1.f64 x) -2)))
(/.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -2)) (cbrt.f64 (neg.f64 (expm1.f64 x))))
(*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (sqrt.f64 (exp.f64 x)) (*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -1/2) (pow.f64 (-.f64 1 (exp.f64 x)) -1/2))
(/.f64 -1 (expm1.f64 x))
(/.f64 1 (expm1.f64 x))
(*.f64 (neg.f64 (exp.f64 x)) (/.f64 -1 (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (/.f64 1 (expm1.f64 x)) (exp.f64 x))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))))
(*.f64 (exp.f64 x) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (exp.f64 x)) -1))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))))
(*.f64 (exp.f64 x) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (expm1.f64 x) -1/2) (/.f64 (exp.f64 x) (sqrt.f64 (expm1.f64 x))))
(/.f64 (*.f64 (pow.f64 (expm1.f64 x) -1/2) (exp.f64 x)) (sqrt.f64 (expm1.f64 x)))
(*.f64 (exp.f64 x) (/.f64 (pow.f64 (expm1.f64 x) -1/2) (sqrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (expm1.f64 x) -1/2) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (exp.f64 x)) -1))
(/.f64 (*.f64 (pow.f64 (expm1.f64 x) -1/2) (exp.f64 x)) (sqrt.f64 (expm1.f64 x)))
(*.f64 (pow.f64 (expm1.f64 x) -1/2) (/.f64 (exp.f64 x) (sqrt.f64 (expm1.f64 x))))
(*.f64 (exp.f64 x) (/.f64 (pow.f64 (expm1.f64 x) -1/2) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 (*.f64 2 x))) 1) (/.f64 (cbrt.f64 (exp.f64 x)) (expm1.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 2) x)) (/.f64 (cbrt.f64 (exp.f64 x)) (expm1.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (/.f64 (cbrt.f64 (exp.f64 x)) (expm1.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 (*.f64 2 x))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 x)))))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 x)))) (/.f64 (cbrt.f64 (pow.f64 (exp.f64 2) x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (cbrt.f64 (neg.f64 (expm1.f64 x)))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 (*.f64 2 x))) (sqrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 (exp.f64 x)) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (exp.f64 2) x)) (sqrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 (exp.f64 x)) (sqrt.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (/.f64 (/.f64 (cbrt.f64 (exp.f64 x)) (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (cbrt.f64 (exp.f64 x))) (*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) 1) (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (sqrt.f64 (exp.f64 x)) (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))))
(*.f64 (exp.f64 x) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (-.f64 1 (exp.f64 x))))
(/.f64 -1 (expm1.f64 x))
(/.f64 1 (expm1.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 x))))) 2) 3) (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 x)))))
(/.f64 -1 (expm1.f64 x))
(/.f64 1 (expm1.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 x))))) 3) (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 x))))) 3))
(/.f64 -1 (expm1.f64 x))
(/.f64 1 (expm1.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -3))))
(*.f64 (cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -3/2)) (cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -3/2)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -2) (exp.f64 x)) 1/3) (cbrt.f64 (/.f64 1 (expm1.f64 x))))
(*.f64 (cbrt.f64 (/.f64 1 (expm1.f64 x))) (cbrt.f64 (*.f64 (exp.f64 x) (pow.f64 (-.f64 1 (exp.f64 x)) -2))))
(*.f64 (cbrt.f64 (/.f64 1 (expm1.f64 x))) (cbrt.f64 (*.f64 (exp.f64 x) (pow.f64 (neg.f64 (expm1.f64 x)) -2))))
(*.f64 (cbrt.f64 (/.f64 1 (expm1.f64 x))) (cbrt.f64 (*.f64 (exp.f64 x) (pow.f64 (expm1.f64 x) -2))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -2) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -2))) 1/3) (cbrt.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 x))))))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x)))) (cbrt.f64 (*.f64 (pow.f64 (expm1.f64 x) -2) (cbrt.f64 (pow.f64 (expm1.f64 x) -2)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (expm1.f64 x) -2) (cbrt.f64 (pow.f64 (expm1.f64 x) -2)))) (cbrt.f64 (cbrt.f64 (/.f64 1 (expm1.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) 5/2) 1/3) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (expm1.f64 x)) 5/2)) (cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -1/2)) (cbrt.f64 (pow.f64 (/.f64 -1 (expm1.f64 x)) 5/2)))
(*.f64 (cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -1/2)) (cbrt.f64 (pow.f64 (/.f64 1 (expm1.f64 x)) 5/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (exp.f64 x))) 2) -1) (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 x)))))
(/.f64 -1 (expm1.f64 x))
(/.f64 1 (expm1.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) -2) -1) (pow.f64 (/.f64 (expm1.f64 x) (cbrt.f64 (exp.f64 x))) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 x)) -2)) (/.f64 1 (/.f64 (expm1.f64 x) (cbrt.f64 (exp.f64 x)))))
(/.f64 (*.f64 (/.f64 (cbrt.f64 (exp.f64 x)) (expm1.f64 x)) 1) (pow.f64 (cbrt.f64 (exp.f64 x)) -2))
(/.f64 (/.f64 (cbrt.f64 (exp.f64 x)) (expm1.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) -2))
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) -1/2) -1) (pow.f64 (/.f64 (expm1.f64 x) (sqrt.f64 (exp.f64 x))) -1))
(*.f64 (/.f64 1 (pow.f64 (exp.f64 x) -1/2)) (/.f64 1 (/.f64 (expm1.f64 x) (sqrt.f64 (exp.f64 x)))))
(*.f64 (/.f64 1 (pow.f64 (exp.f64 x) -1/2)) (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)))
(/.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)) (pow.f64 (exp.f64 x) -1/2))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (exp.f64 x)) -1))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))))
(*.f64 (exp.f64 x) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (exp.f64 (*.f64 2 x)))) -1) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (exp.f64 x))) -1))
(*.f64 (/.f64 1 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (pow.f64 (exp.f64 2) x)))) (/.f64 1 (/.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (exp.f64 x)))))
(/.f64 (*.f64 (*.f64 (/.f64 1 (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (exp.f64 x))) 1) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (pow.f64 (exp.f64 x) 2))))
(*.f64 (/.f64 (/.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (expm1.f64 x))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (pow.f64 (exp.f64 x) 2)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 (exp.f64 x))) -1) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 (exp.f64 x))) -1))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))))
(*.f64 (exp.f64 x) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (exp.f64 x)) -1))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 (expm1.f64 x)) (exp.f64 x))) (/.f64 1 (sqrt.f64 (expm1.f64 x))))
(/.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (/.f64 (sqrt.f64 (expm1.f64 x)) (exp.f64 x)))
(/.f64 (/.f64 (exp.f64 x) (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 (exp.f64 (*.f64 2 x)))) -1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 (exp.f64 x))) -1))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (exp.f64 2) x)) (sqrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 (exp.f64 x)) (sqrt.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (/.f64 (/.f64 (cbrt.f64 (exp.f64 x)) (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (cbrt.f64 (exp.f64 x))) (*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (exp.f64 x))) -1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (exp.f64 x))) -1))
(pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (exp.f64 x))) -2)
(pow.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) 1)
(/.f64 -1 (expm1.f64 x))
(/.f64 1 (expm1.f64 x))
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 x)))) 3)
(/.f64 -1 (expm1.f64 x))
(/.f64 1 (expm1.f64 x))
(pow.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -2) 1/2)
(/.f64 -1 (expm1.f64 x))
(/.f64 1 (expm1.f64 x))
(pow.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -3) 1/3)
(/.f64 -1 (expm1.f64 x))
(/.f64 1 (expm1.f64 x))
(pow.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -1/2) 2)
(/.f64 -1 (expm1.f64 x))
(/.f64 1 (expm1.f64 x))
(pow.f64 (-.f64 1 (exp.f64 x)) -1)
(/.f64 -1 (expm1.f64 x))
(/.f64 1 (expm1.f64 x))
(pow.f64 (exp.f64 1) (-.f64 x (log.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(pow.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (expm1.f64 x) 3)) 1/3)
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (expm1.f64 x) 3)))
(pow.f64 (/.f64 (-.f64 1 (exp.f64 x)) 1) -1)
(/.f64 -1 (expm1.f64 x))
(/.f64 1 (expm1.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) 2)) (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x))))) (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(neg.f64 (/.f64 (exp.f64 x) (neg.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(neg.f64 (/.f64 (neg.f64 (exp.f64 x)) (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -2))
(/.f64 -1 (expm1.f64 x))
(/.f64 1 (expm1.f64 x))
(log.f64 (exp.f64 (/.f64 1 (-.f64 1 (exp.f64 x)))))
(/.f64 -1 (expm1.f64 x))
(/.f64 1 (expm1.f64 x))
(cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -3))
(/.f64 -1 (expm1.f64 x))
(/.f64 1 (expm1.f64 x))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (expm1.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1 (exp.f64 x)))))
(/.f64 -1 (expm1.f64 x))
(/.f64 1 (expm1.f64 x))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 1 (exp.f64 x)))))
(/.f64 -1 (expm1.f64 x))
(/.f64 1 (expm1.f64 x))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 (*.f64 (-.f64 x (log.f64 (expm1.f64 x))) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (-.f64 1 (exp.f64 x))))) 3))
(/.f64 -1 (expm1.f64 x))
(/.f64 1 (expm1.f64 x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -3)) 1/3))
(/.f64 -1 (expm1.f64 x))
(/.f64 1 (expm1.f64 x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -1/2)) 2))
(/.f64 -1 (expm1.f64 x))
(/.f64 1 (expm1.f64 x))
(exp.f64 (*.f64 (log.f64 (-.f64 1 (exp.f64 x))) -1))
(/.f64 -1 (expm1.f64 x))
(/.f64 1 (expm1.f64 x))
(exp.f64 (*.f64 (*.f64 (-.f64 x (log.f64 (expm1.f64 x))) 1) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 (+.f64 (+.f64 (log.f64 -1) x) (*.f64 (log.f64 (/.f64 -1 (expm1.f64 x))) 1)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 (-.f64 x (*.f64 (log.f64 (expm1.f64 x)) 1)))
(/.f64 (exp.f64 x) (expm1.f64 x))

eval49.0ms (1.6%)

Compiler

Compiled 2164 to 1269 computations (41.4% saved)

prune28.0ms (0.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1843187
Fresh000
Picked112
Done000
Total1854189
Accuracy
100.0%
Counts
189 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶61.7%
(/.f64 1 x)
✓100.0%
(/.f64 -1 (expm1.f64 (neg.f64 x)))
▶61.5%
(+.f64 (/.f64 1 x) 1/2)
▶61.3%
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
Compiler

Compiled 26 to 21 computations (19.2% saved)

localize80.0ms (2.6%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓99.6%
(*.f64 1/12 x)
Compiler

Compiled 44 to 32 computations (27.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
Operation ival-div, time spent: 19.0ms, 61.0% of total-time
Operation ival-add, time spent: 5.0ms, 16.0% of total-time
Operation ival-mult, time spent: 5.0ms, 16.0% of total-time
Operation const, time spent: 2.0ms, 6.0% of total-time

series2.0ms (0.1%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(*.f64 1/12 x)
1.0ms
x
@0
(*.f64 1/12 x)
1.0ms
x
@inf
(*.f64 1/12 x)

rewrite363.0ms (11.7%)

Algorithm
1×batch-egg-rewrite
Rules
1027×log1p-expm1-u
626×associate-*r*
574×associate-*l*
484×expm1-log1p-u
352×unpow-prod-down
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
14610
248910
3580010
Stop Event
1×node limit
Counts
1 → 25
Calls
Call 1
Inputs
(*.f64 1/12 x)
Outputs
(+.f64 (+.f64 (*.f64 1/12 x) 1) -1)
(+.f64 0 (*.f64 1/12 x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/6))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/12))))
(+.f64 (log.f64 (pow.f64 (exp.f64 x) 1/24)) (log.f64 (pow.f64 (exp.f64 x) 1/24)))
(-.f64 (+.f64 (*.f64 1/12 x) 1) 1)
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 1/12 x) 1) 3) 1) (+.f64 (*.f64 (+.f64 (*.f64 1/12 x) 1) (+.f64 (*.f64 1/12 x) 1)) (+.f64 1 (+.f64 (*.f64 1/12 x) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 1/12 x) 1) (+.f64 (*.f64 1/12 x) 1)) 1) (+.f64 (+.f64 (*.f64 1/12 x) 1) 1))
(pow.f64 (*.f64 1/12 x) 1)
(pow.f64 (cbrt.f64 (*.f64 1/12 x)) 3)
(pow.f64 (*.f64 (pow.f64 x 2) 1/144) 1/2)
(pow.f64 (*.f64 (pow.f64 x 3) 1/1728) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/12 x)) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 1/12 x)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 1/12 x)) 2))) (cbrt.f64 (log.f64 (*.f64 1/12 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 1/12 x)))) (sqrt.f64 (log.f64 (*.f64 1/12 x))))
(sqrt.f64 (*.f64 (pow.f64 x 2) 1/144))
(fabs.f64 (*.f64 1/12 x))
(log.f64 (pow.f64 (exp.f64 x) 1/12))
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/1728))
(expm1.f64 (log1p.f64 (*.f64 1/12 x)))
(log1p.f64 (expm1.f64 (*.f64 1/12 x)))
(exp.f64 (log.f64 (*.f64 1/12 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/12 x))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 3) 1/1728)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 1/12 x))) 2))

simplify53.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
766×fma-neg
568×unswap-sqr
552×distribute-lft-out
516×associate--l+
502×associate-+l-
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
083425
1209421
2584414
32801410
Stop Event
1×node limit
Counts
25 → 32
Calls
Call 1
Inputs
(+.f64 (+.f64 (*.f64 1/12 x) 1) -1)
(+.f64 0 (*.f64 1/12 x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/6))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/12))))
(+.f64 (log.f64 (pow.f64 (exp.f64 x) 1/24)) (log.f64 (pow.f64 (exp.f64 x) 1/24)))
(-.f64 (+.f64 (*.f64 1/12 x) 1) 1)
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 1/12 x) 1) 3) 1) (+.f64 (*.f64 (+.f64 (*.f64 1/12 x) 1) (+.f64 (*.f64 1/12 x) 1)) (+.f64 1 (+.f64 (*.f64 1/12 x) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 1/12 x) 1) (+.f64 (*.f64 1/12 x) 1)) 1) (+.f64 (+.f64 (*.f64 1/12 x) 1) 1))
(pow.f64 (*.f64 1/12 x) 1)
(pow.f64 (cbrt.f64 (*.f64 1/12 x)) 3)
(pow.f64 (*.f64 (pow.f64 x 2) 1/144) 1/2)
(pow.f64 (*.f64 (pow.f64 x 3) 1/1728) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/12 x)) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 1/12 x)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 1/12 x)) 2))) (cbrt.f64 (log.f64 (*.f64 1/12 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 1/12 x)))) (sqrt.f64 (log.f64 (*.f64 1/12 x))))
(sqrt.f64 (*.f64 (pow.f64 x 2) 1/144))
(fabs.f64 (*.f64 1/12 x))
(log.f64 (pow.f64 (exp.f64 x) 1/12))
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/1728))
(expm1.f64 (log1p.f64 (*.f64 1/12 x)))
(log1p.f64 (expm1.f64 (*.f64 1/12 x)))
(exp.f64 (log.f64 (*.f64 1/12 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/12 x))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 3) 1/1728)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 1/12 x))) 2))
Outputs
(+.f64 (+.f64 (*.f64 1/12 x) 1) -1)
(*.f64 1/12 x)
(+.f64 0 (*.f64 1/12 x))
(*.f64 1/12 x)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/6))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/12))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/6))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/12) x))))
(+.f64 (log.f64 (pow.f64 (exp.f64 x) 1/24)) (log.f64 (pow.f64 (exp.f64 x) 1/24)))
(*.f64 1/12 x)
(-.f64 (+.f64 (*.f64 1/12 x) 1) 1)
(*.f64 1/12 x)
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 1/12 x) 1) 3) 1) (+.f64 (*.f64 (+.f64 (*.f64 1/12 x) 1) (+.f64 (*.f64 1/12 x) 1)) (+.f64 1 (+.f64 (*.f64 1/12 x) 1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/12 x 1) 3) -1) (fma.f64 (fma.f64 1/12 x 1) (fma.f64 1/12 x 1) (+.f64 (*.f64 1/12 x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/12 x 1) 3)) (fma.f64 (fma.f64 1/12 x 1) (fma.f64 1/12 x 1) (fma.f64 1/12 x 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/12 x 1) 3)) (+.f64 1 (*.f64 (fma.f64 1/12 x 1) (fma.f64 1/12 x 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/12 x 1) 3)) (fma.f64 (fma.f64 1/12 x 1) (fma.f64 1/12 x 2) 1))
(/.f64 (-.f64 (*.f64 (+.f64 (*.f64 1/12 x) 1) (+.f64 (*.f64 1/12 x) 1)) 1) (+.f64 (+.f64 (*.f64 1/12 x) 1) 1))
(*.f64 1/12 x)
(pow.f64 (*.f64 1/12 x) 1)
(*.f64 1/12 x)
(pow.f64 (cbrt.f64 (*.f64 1/12 x)) 3)
(*.f64 1/12 x)
(pow.f64 (*.f64 (pow.f64 x 2) 1/144) 1/2)
(*.f64 1/12 x)
(pow.f64 (*.f64 (pow.f64 x 3) 1/1728) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/1728))
(cbrt.f64 (*.f64 1/1728 (pow.f64 x 3)))
(pow.f64 (sqrt.f64 (*.f64 1/12 x)) 2)
(*.f64 1/12 x)
(pow.f64 (E.f64) (log.f64 (*.f64 1/12 x)))
(*.f64 1/12 x)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 1/12 x)) 2))) (cbrt.f64 (log.f64 (*.f64 1/12 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 1/12 x)))) (sqrt.f64 (log.f64 (*.f64 1/12 x))))
(*.f64 1/12 x)
(sqrt.f64 (*.f64 (pow.f64 x 2) 1/144))
(*.f64 1/12 x)
(fabs.f64 (*.f64 1/12 x))
(*.f64 1/12 x)
(log.f64 (pow.f64 (exp.f64 x) 1/12))
(*.f64 1/12 x)
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/1728))
(cbrt.f64 (*.f64 1/1728 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 1/12 x)))
(*.f64 1/12 x)
(log1p.f64 (expm1.f64 (*.f64 1/12 x)))
(*.f64 1/12 x)
(exp.f64 (log.f64 (*.f64 1/12 x)))
(*.f64 1/12 x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/12 x))) 3))
(*.f64 1/12 x)
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 3) 1/1728)) 1/3))
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/1728))
(cbrt.f64 (*.f64 1/1728 (pow.f64 x 3)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 1/12 x))) 2))
(*.f64 1/12 x)

eval11.0ms (0.4%)

Compiler

Compiled 516 to 427 computations (17.2% saved)

prune10.0ms (0.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New32032
Fresh000
Picked033
Done011
Total32436
Accuracy
100.0%
Counts
36 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓61.7%
(/.f64 1 x)
✓100.0%
(/.f64 -1 (expm1.f64 (neg.f64 x)))
✓61.5%
(+.f64 (/.f64 1 x) 1/2)
✓61.3%
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
Compiler

Compiled 61 to 45 computations (26.2% saved)

regimes9.0ms (0.3%)

Counts
6 → 1
Calls
Call 1
Inputs
(/.f64 1 x)
(+.f64 (/.f64 1 x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
Outputs
(/.f64 -1 (expm1.f64 (neg.f64 x)))
Calls

3 calls:

5.0ms
x
2.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
2.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
100.0%1(exp.f64 x)
Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.8b remaining (-3.1%)

Threshold costs -0.8b (-3.1%)

Counts
3 → 1
Calls
Call 1
Inputs
(/.f64 1 x)
(+.f64 (/.f64 1 x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
Outputs
(/.f64 1 x)
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
61.7%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify6.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
3×1-exp
2×sub-neg
2×*-commutative
2×neg-sub0
2×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01228
11928
22128
32228
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 1 x)
Outputs
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 1 x)
Compiler

Compiled 10 to 8 computations (20% saved)

soundness142.0ms (4.6%)

Rules
1268×fma-neg
1090×associate-*r/
888×associate-/r*
722×distribute-lft-neg-in
682×associate-*l/
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
015104
135102
256102
398102
419076
554568
6227668
7632364
Stop Event
1×node limit
Compiler

Compiled 205 to 95 computations (53.7% saved)

end0.0ms (0%)

preprocess37.0ms (1.2%)

Compiler

Compiled 48 to 36 computations (25% saved)

Profiling

Loading profile data...