expq2 (section 3.11)

Time bar (total: 3.4s)

analyze155.0ms (4.6%)

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
37.5%28.2%47%24.8%0%0%0%4
37.5%28.2%47%24.8%0%0%0%5
40.6%30.5%44.6%24.8%0%0%0%6
42.2%31.7%43.5%24.8%0%0%0%7
42.2%31.7%43.5%24.8%0%0%0%8
43%32.3%42.9%24.8%0%0%0%9
43%32.3%42.9%24.8%0%0%0%10
43.1%32.4%42.8%24.8%0%0%0%11
43.1%32.4%42.8%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: 19.0ms, 32.0% of total-time
Operation ival-sub, time spent: 14.0ms, 23.0% of total-time
Operation ival->, time spent: 14.0ms, 23.0% of total-time
Operation ival-div, time spent: 9.0ms, 15.0% of total-time
Operation const, time spent: 4.0ms, 7.0% of total-time

sample1.8s (53.4%)

Results
625.0ms3861×256valid
758.0ms2811×1024valid
248.0ms1422×512valid
55.0ms161×2048valid
0.0ms1×1024valid
Precisions
Click to see histograms. Total time spent on operations: 948.0ms
Operation ival-exp, time spent: 376.0ms, 40.0% of total-time
Operation ival-sub, time spent: 350.0ms, 37.0% of total-time
Operation ival-div, time spent: 103.0ms, 11.0% of total-time
Operation ival->, time spent: 93.0ms, 10.0% of total-time
Operation const, time spent: 27.0ms, 3.0% of total-time
Bogosity

preprocess220.0ms (6.5%)

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
1670-0-(-.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: 46.0ms
Operation ival-exp, time spent: 24.0ms, 52.0% of total-time
Operation ival-sub, time spent: 11.0ms, 24.0% of total-time
Operation ival-div, time spent: 8.0ms, 17.0% of total-time
Operation const, time spent: 3.0ms, 6.0% 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 -1 (expm1.f64 (neg.f64 x)))
Compiler

Compiled 6 to 5 computations (16.7% saved)

localize59.0ms (1.7%)

Localize:

Found 2 expressions with local error:

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

Compiled 14 to 7 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
Operation composed, time spent: 17.0ms, 44.0% of total-time
Operation ival-exp, time spent: 11.0ms, 28.0% of total-time
Operation ival-neg, time spent: 4.0ms, 10.0% of total-time
Operation ival-div, time spent: 3.0ms, 8.0% of total-time
Operation ival-sub, time spent: 3.0ms, 8.0% of total-time
Operation const, time spent: 1.0ms, 3.0% of total-time

series5.0ms (0.2%)

Counts
2 → 24
Calls

6 calls:

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

rewrite177.0ms (5.3%)

Algorithm
1×batch-egg-rewrite
Rules
988×frac-times
552×unpow-prod-down
330×log-prod
328×cbrt-prod
302×log1p-expm1-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01024
19116
2109416
Stop Event
1×node limit
Counts
2 → 158
Calls
Call 1
Inputs
(expm1.f64 (neg.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
Outputs
(+.f64 (exp.f64 x) -1)
(+.f64 0 (expm1.f64 x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (expm1.f64 x)) 2))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))))
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) (log.f64 (E.f64)))
(-.f64 0 (expm1.f64 x))
(-.f64 (/.f64 (exp.f64 x) -1) -1)
(*.f64 (expm1.f64 x) -1)
(*.f64 (expm1.f64 x) 1)
(*.f64 (expm1.f64 x) (log.f64 (E.f64)))
(*.f64 (expm1.f64 x) (log.f64 (exp.f64 -1)))
(*.f64 -1 (expm1.f64 x))
(*.f64 1 (expm1.f64 x))
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (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) (/.f64 (cbrt.f64 (expm1.f64 x)) -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 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (neg.f64 (sqrt.f64 (expm1.f64 x))))
(*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 (sqrt.f64 (expm1.f64 x)) -1))
(*.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) -1))
(*.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) -1) -1))
(*.f64 (pow.f64 (expm1.f64 x) 1/4) (sqrt.f64 (pow.f64 (expm1.f64 x) 3/2)))
(*.f64 (sqrt.f64 -1) (expm1.f64 x))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (expm1.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x)))
(*.f64 (pow.f64 1 1/3) (expm1.f64 x))
(*.f64 (pow.f64 (cbrt.f64 -1) 3) (expm1.f64 x))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (expm1.f64 x))
(*.f64 (pow.f64 (*.f64 (pow.f64 (expm1.f64 x) 2) -1) 1/3) (cbrt.f64 (expm1.f64 x)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) -1) (sqrt.f64 (expm1.f64 x)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) -1) (cbrt.f64 (expm1.f64 x)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (expm1.f64 x) (cbrt.f64 (expm1.f64 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) 5/2) 1/3) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (exp.f64 (log.f64 -1)) (expm1.f64 x))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (expm1.f64 x) 2) -1)) (cbrt.f64 (expm1.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (expm1.f64 x) (cbrt.f64 (expm1.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 5/2)) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (expm1.f64 x) 3/2)) (pow.f64 (expm1.f64 x) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 5)) (pow.f64 (expm1.f64 x) 1/6))
(/.f64 (expm1.f64 x) -1)
(/.f64 (expm1.f64 x) 1)
(/.f64 -1 (expm1.f64 x))
(/.f64 1 (expm1.f64 x))
(/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)))
(/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(/.f64 (sqrt.f64 -1) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 x 3)) 1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (*.f64 (exp.f64 x) 1))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 1) (+.f64 (exp.f64 x) 1))
(/.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (expm1.f64 x)))
(/.f64 (/.f64 -1 (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 -1) 3) (expm1.f64 x))
(/.f64 (exp.f64 (log.f64 -1)) (expm1.f64 x))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (expm1.f64 x) 2) -1)) (cbrt.f64 (expm1.f64 x)))
(/.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -1)) (expm1.f64 x))
(/.f64 (*.f64 1 (sqrt.f64 -1)) (expm1.f64 x))
(/.f64 (*.f64 (sqrt.f64 -1) 1) (expm1.f64 x))
(pow.f64 (expm1.f64 x) -1)
(pow.f64 (expm1.f64 x) 1)
(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)
(pow.f64 (cbrt.f64 (expm1.f64 x)) -3)
(pow.f64 (pow.f64 (expm1.f64 x) 2) 1/2)
(pow.f64 (pow.f64 (expm1.f64 x) 2) -1/2)
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3)
(pow.f64 (pow.f64 (expm1.f64 x) 3) -1/3)
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2)
(pow.f64 (sqrt.f64 (expm1.f64 x)) -2)
(pow.f64 (E.f64) (log.f64 (expm1.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2)) (cbrt.f64 (log.f64 (expm1.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (sqrt.f64 (log.f64 (expm1.f64 x))))
(neg.f64 (expm1.f64 x))
(sqrt.f64 (pow.f64 (expm1.f64 x) 2))
(fabs.f64 (expm1.f64 x))
(log.f64 (exp.f64 (expm1.f64 x)))
(cbrt.f64 (pow.f64 (expm1.f64 x) 3))
(log1p.f64 (expm1.f64 (expm1.f64 x)))
(exp.f64 (log.f64 (expm1.f64 x)))
(exp.f64 (*.f64 (log.f64 (expm1.f64 x)) -1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 x) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) 2))
(fma.f64 1 (exp.f64 x) -1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) -1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -1)
(+.f64 (exp.f64 x) -1)
(+.f64 0 (expm1.f64 x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (expm1.f64 x)) 2))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))))
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) (log.f64 (E.f64)))
(-.f64 0 (expm1.f64 x))
(-.f64 (/.f64 (exp.f64 x) -1) -1)
(*.f64 (expm1.f64 x) -1)
(*.f64 (expm1.f64 x) 1)
(*.f64 (expm1.f64 x) (log.f64 (E.f64)))
(*.f64 (expm1.f64 x) (log.f64 (exp.f64 -1)))
(*.f64 -1 (expm1.f64 x))
(*.f64 1 (expm1.f64 x))
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (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) (/.f64 (cbrt.f64 (expm1.f64 x)) -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 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (neg.f64 (sqrt.f64 (expm1.f64 x))))
(*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 (sqrt.f64 (expm1.f64 x)) -1))
(*.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) -1))
(*.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) -1) -1))
(*.f64 (pow.f64 (expm1.f64 x) 1/4) (sqrt.f64 (pow.f64 (expm1.f64 x) 3/2)))
(*.f64 (sqrt.f64 -1) (expm1.f64 x))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (expm1.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x)))
(*.f64 (pow.f64 1 1/3) (expm1.f64 x))
(*.f64 (pow.f64 (cbrt.f64 -1) 3) (expm1.f64 x))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (expm1.f64 x))
(*.f64 (pow.f64 (*.f64 (pow.f64 (expm1.f64 x) 2) -1) 1/3) (cbrt.f64 (expm1.f64 x)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) -1) (sqrt.f64 (expm1.f64 x)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) -1) (cbrt.f64 (expm1.f64 x)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (expm1.f64 x) (cbrt.f64 (expm1.f64 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) 5/2) 1/3) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (exp.f64 (log.f64 -1)) (expm1.f64 x))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (expm1.f64 x) 2) -1)) (cbrt.f64 (expm1.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (expm1.f64 x) (cbrt.f64 (expm1.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 5/2)) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (expm1.f64 x) 3/2)) (pow.f64 (expm1.f64 x) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 5)) (pow.f64 (expm1.f64 x) 1/6))
(pow.f64 (expm1.f64 x) -1)
(pow.f64 (expm1.f64 x) 1)
(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)
(pow.f64 (cbrt.f64 (expm1.f64 x)) -3)
(pow.f64 (pow.f64 (expm1.f64 x) 2) 1/2)
(pow.f64 (pow.f64 (expm1.f64 x) 2) -1/2)
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3)
(pow.f64 (pow.f64 (expm1.f64 x) 3) -1/3)
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2)
(pow.f64 (sqrt.f64 (expm1.f64 x)) -2)
(pow.f64 (E.f64) (log.f64 (expm1.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2)) (cbrt.f64 (log.f64 (expm1.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (sqrt.f64 (log.f64 (expm1.f64 x))))
(neg.f64 (expm1.f64 x))
(sqrt.f64 (pow.f64 (expm1.f64 x) 2))
(fabs.f64 (expm1.f64 x))
(log.f64 (exp.f64 (expm1.f64 x)))
(cbrt.f64 (pow.f64 (expm1.f64 x) 3))
(expm1.f64 x)
(log1p.f64 (expm1.f64 (expm1.f64 x)))
(exp.f64 (log.f64 (expm1.f64 x)))
(exp.f64 (*.f64 (log.f64 (expm1.f64 x)) -1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 x) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) 2))
(fma.f64 1 (exp.f64 x) -1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) -1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -1)

simplify93.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
976×fma-define
802×fma-neg
570×unswap-sqr
494×log-prod
470×sqr-pow
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02282217
14712217
213082217
354932217
Stop Event
1×node limit
Counts
182 → 106
Calls
Call 1
Inputs
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 (exp.f64 (neg.f64 x)) 1)
(-.f64 (exp.f64 (neg.f64 x)) 1)
(-.f64 (exp.f64 (neg.f64 x)) 1)
(-.f64 (exp.f64 (neg.f64 x)) 1)
(-.f64 (exp.f64 (*.f64 -1 x)) 1)
(-.f64 (exp.f64 (*.f64 -1 x)) 1)
(-.f64 (exp.f64 (*.f64 -1 x)) 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 -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 (exp.f64 x) -1)
(+.f64 0 (expm1.f64 x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (expm1.f64 x)) 2))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))))
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) (log.f64 (E.f64)))
(-.f64 0 (expm1.f64 x))
(-.f64 (/.f64 (exp.f64 x) -1) -1)
(*.f64 (expm1.f64 x) -1)
(*.f64 (expm1.f64 x) 1)
(*.f64 (expm1.f64 x) (log.f64 (E.f64)))
(*.f64 (expm1.f64 x) (log.f64 (exp.f64 -1)))
(*.f64 -1 (expm1.f64 x))
(*.f64 1 (expm1.f64 x))
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (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) (/.f64 (cbrt.f64 (expm1.f64 x)) -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 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (neg.f64 (sqrt.f64 (expm1.f64 x))))
(*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 (sqrt.f64 (expm1.f64 x)) -1))
(*.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) -1))
(*.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) -1) -1))
(*.f64 (pow.f64 (expm1.f64 x) 1/4) (sqrt.f64 (pow.f64 (expm1.f64 x) 3/2)))
(*.f64 (sqrt.f64 -1) (expm1.f64 x))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (expm1.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x)))
(*.f64 (pow.f64 1 1/3) (expm1.f64 x))
(*.f64 (pow.f64 (cbrt.f64 -1) 3) (expm1.f64 x))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (expm1.f64 x))
(*.f64 (pow.f64 (*.f64 (pow.f64 (expm1.f64 x) 2) -1) 1/3) (cbrt.f64 (expm1.f64 x)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) -1) (sqrt.f64 (expm1.f64 x)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) -1) (cbrt.f64 (expm1.f64 x)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (expm1.f64 x) (cbrt.f64 (expm1.f64 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) 5/2) 1/3) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (exp.f64 (log.f64 -1)) (expm1.f64 x))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (expm1.f64 x) 2) -1)) (cbrt.f64 (expm1.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (expm1.f64 x) (cbrt.f64 (expm1.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 5/2)) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (expm1.f64 x) 3/2)) (pow.f64 (expm1.f64 x) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 5)) (pow.f64 (expm1.f64 x) 1/6))
(/.f64 (expm1.f64 x) -1)
(/.f64 (expm1.f64 x) 1)
(/.f64 -1 (expm1.f64 x))
(/.f64 1 (expm1.f64 x))
(/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)))
(/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(/.f64 (sqrt.f64 -1) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 x 3)) 1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (*.f64 (exp.f64 x) 1))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 1) (+.f64 (exp.f64 x) 1))
(/.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (expm1.f64 x)))
(/.f64 (/.f64 -1 (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 -1) 3) (expm1.f64 x))
(/.f64 (exp.f64 (log.f64 -1)) (expm1.f64 x))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (expm1.f64 x) 2) -1)) (cbrt.f64 (expm1.f64 x)))
(/.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -1)) (expm1.f64 x))
(/.f64 (*.f64 1 (sqrt.f64 -1)) (expm1.f64 x))
(/.f64 (*.f64 (sqrt.f64 -1) 1) (expm1.f64 x))
(pow.f64 (expm1.f64 x) -1)
(pow.f64 (expm1.f64 x) 1)
(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)
(pow.f64 (cbrt.f64 (expm1.f64 x)) -3)
(pow.f64 (pow.f64 (expm1.f64 x) 2) 1/2)
(pow.f64 (pow.f64 (expm1.f64 x) 2) -1/2)
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3)
(pow.f64 (pow.f64 (expm1.f64 x) 3) -1/3)
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2)
(pow.f64 (sqrt.f64 (expm1.f64 x)) -2)
(pow.f64 (E.f64) (log.f64 (expm1.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2)) (cbrt.f64 (log.f64 (expm1.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (sqrt.f64 (log.f64 (expm1.f64 x))))
(neg.f64 (expm1.f64 x))
(sqrt.f64 (pow.f64 (expm1.f64 x) 2))
(fabs.f64 (expm1.f64 x))
(log.f64 (exp.f64 (expm1.f64 x)))
(cbrt.f64 (pow.f64 (expm1.f64 x) 3))
(log1p.f64 (expm1.f64 (expm1.f64 x)))
(exp.f64 (log.f64 (expm1.f64 x)))
(exp.f64 (*.f64 (log.f64 (expm1.f64 x)) -1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 x) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) 2))
(fma.f64 1 (exp.f64 x) -1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) -1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -1)
(+.f64 (exp.f64 x) -1)
(+.f64 0 (expm1.f64 x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (expm1.f64 x)) 2))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))))
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) (log.f64 (E.f64)))
(-.f64 0 (expm1.f64 x))
(-.f64 (/.f64 (exp.f64 x) -1) -1)
(*.f64 (expm1.f64 x) -1)
(*.f64 (expm1.f64 x) 1)
(*.f64 (expm1.f64 x) (log.f64 (E.f64)))
(*.f64 (expm1.f64 x) (log.f64 (exp.f64 -1)))
(*.f64 -1 (expm1.f64 x))
(*.f64 1 (expm1.f64 x))
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (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) (/.f64 (cbrt.f64 (expm1.f64 x)) -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 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (neg.f64 (sqrt.f64 (expm1.f64 x))))
(*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 (sqrt.f64 (expm1.f64 x)) -1))
(*.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) -1))
(*.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) -1) -1))
(*.f64 (pow.f64 (expm1.f64 x) 1/4) (sqrt.f64 (pow.f64 (expm1.f64 x) 3/2)))
(*.f64 (sqrt.f64 -1) (expm1.f64 x))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (expm1.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x)))
(*.f64 (pow.f64 1 1/3) (expm1.f64 x))
(*.f64 (pow.f64 (cbrt.f64 -1) 3) (expm1.f64 x))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (expm1.f64 x))
(*.f64 (pow.f64 (*.f64 (pow.f64 (expm1.f64 x) 2) -1) 1/3) (cbrt.f64 (expm1.f64 x)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) -1) (sqrt.f64 (expm1.f64 x)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) -1) (cbrt.f64 (expm1.f64 x)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (expm1.f64 x) (cbrt.f64 (expm1.f64 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) 5/2) 1/3) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (exp.f64 (log.f64 -1)) (expm1.f64 x))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (expm1.f64 x) 2) -1)) (cbrt.f64 (expm1.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (expm1.f64 x) (cbrt.f64 (expm1.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 5/2)) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (expm1.f64 x) 3/2)) (pow.f64 (expm1.f64 x) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 5)) (pow.f64 (expm1.f64 x) 1/6))
(pow.f64 (expm1.f64 x) -1)
(pow.f64 (expm1.f64 x) 1)
(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)
(pow.f64 (cbrt.f64 (expm1.f64 x)) -3)
(pow.f64 (pow.f64 (expm1.f64 x) 2) 1/2)
(pow.f64 (pow.f64 (expm1.f64 x) 2) -1/2)
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3)
(pow.f64 (pow.f64 (expm1.f64 x) 3) -1/3)
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2)
(pow.f64 (sqrt.f64 (expm1.f64 x)) -2)
(pow.f64 (E.f64) (log.f64 (expm1.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2)) (cbrt.f64 (log.f64 (expm1.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (sqrt.f64 (log.f64 (expm1.f64 x))))
(neg.f64 (expm1.f64 x))
(sqrt.f64 (pow.f64 (expm1.f64 x) 2))
(fabs.f64 (expm1.f64 x))
(log.f64 (exp.f64 (expm1.f64 x)))
(cbrt.f64 (pow.f64 (expm1.f64 x) 3))
(expm1.f64 x)
(log1p.f64 (expm1.f64 (expm1.f64 x)))
(exp.f64 (log.f64 (expm1.f64 x)))
(exp.f64 (*.f64 (log.f64 (expm1.f64 x)) -1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 x) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) 2))
(fma.f64 1 (exp.f64 x) -1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) -1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -1)
Outputs
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (*.f64 1/2 (pow.f64 x 2)))
(neg.f64 x)
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))))
(neg.f64 x)
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))))
(neg.f64 x)
(-.f64 (exp.f64 (neg.f64 x)) 1)
(expm1.f64 (neg.f64 x))
(-.f64 (exp.f64 (neg.f64 x)) 1)
(expm1.f64 (neg.f64 x))
(-.f64 (exp.f64 (neg.f64 x)) 1)
(expm1.f64 (neg.f64 x))
(-.f64 (exp.f64 (neg.f64 x)) 1)
(expm1.f64 (neg.f64 x))
(-.f64 (exp.f64 (*.f64 -1 x)) 1)
(expm1.f64 (neg.f64 x))
(-.f64 (exp.f64 (*.f64 -1 x)) 1)
(expm1.f64 (neg.f64 x))
(-.f64 (exp.f64 (*.f64 -1 x)) 1)
(expm1.f64 (neg.f64 x))
(-.f64 (exp.f64 (*.f64 -1 x)) 1)
(expm1.f64 (neg.f64 x))
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.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 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 (pow.f64 x 3) -1/720 (fma.f64 x 1/12 (/.f64 1 x))))
(/.f64 -1 (-.f64 (exp.f64 (neg.f64 x)) 1))
(expm1.f64 (neg.f64 x))
(/.f64 -1 (-.f64 (exp.f64 (neg.f64 x)) 1))
(expm1.f64 (neg.f64 x))
(/.f64 -1 (-.f64 (exp.f64 (neg.f64 x)) 1))
(expm1.f64 (neg.f64 x))
(/.f64 -1 (-.f64 (exp.f64 (neg.f64 x)) 1))
(expm1.f64 (neg.f64 x))
(/.f64 -1 (-.f64 (exp.f64 (*.f64 -1 x)) 1))
(expm1.f64 (neg.f64 x))
(/.f64 -1 (-.f64 (exp.f64 (*.f64 -1 x)) 1))
(expm1.f64 (neg.f64 x))
(/.f64 -1 (-.f64 (exp.f64 (*.f64 -1 x)) 1))
(expm1.f64 (neg.f64 x))
(/.f64 -1 (-.f64 (exp.f64 (*.f64 -1 x)) 1))
(expm1.f64 (neg.f64 x))
(+.f64 (exp.f64 x) -1)
(expm1.f64 (neg.f64 x))
(+.f64 0 (expm1.f64 x))
(expm1.f64 (neg.f64 x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (expm1.f64 x)) 2))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 x)))))
(expm1.f64 (neg.f64 x))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))))
(expm1.f64 (neg.f64 x))
(-.f64 (exp.f64 x) 1)
(expm1.f64 (neg.f64 x))
(-.f64 (exp.f64 x) (log.f64 (E.f64)))
(expm1.f64 (neg.f64 x))
(-.f64 0 (expm1.f64 x))
(expm1.f64 (neg.f64 x))
(-.f64 (/.f64 (exp.f64 x) -1) -1)
(expm1.f64 (neg.f64 x))
(*.f64 (expm1.f64 x) -1)
(expm1.f64 (neg.f64 x))
(*.f64 (expm1.f64 x) 1)
(expm1.f64 (neg.f64 x))
(*.f64 (expm1.f64 x) (log.f64 (E.f64)))
(expm1.f64 (neg.f64 x))
(*.f64 (expm1.f64 x) (log.f64 (exp.f64 -1)))
(expm1.f64 (neg.f64 x))
(*.f64 -1 (expm1.f64 x))
(expm1.f64 (neg.f64 x))
(*.f64 1 (expm1.f64 x))
(expm1.f64 (neg.f64 x))
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(expm1.f64 (neg.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)))
(expm1.f64 (neg.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (neg.f64 (cbrt.f64 (expm1.f64 x))))
(expm1.f64 (neg.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (/.f64 (cbrt.f64 (expm1.f64 x)) -1))
(expm1.f64 (neg.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (neg.f64 (cbrt.f64 (expm1.f64 x))) -1))
(expm1.f64 (neg.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) -1) -1))
(expm1.f64 (neg.f64 x))
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(expm1.f64 (neg.f64 x))
(*.f64 (sqrt.f64 (expm1.f64 x)) (neg.f64 (sqrt.f64 (expm1.f64 x))))
(expm1.f64 (neg.f64 x))
(*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 (sqrt.f64 (expm1.f64 x)) -1))
(expm1.f64 (neg.f64 x))
(*.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) -1))
(expm1.f64 (neg.f64 x))
(*.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) -1) -1))
(expm1.f64 (neg.f64 x))
(*.f64 (pow.f64 (expm1.f64 x) 1/4) (sqrt.f64 (pow.f64 (expm1.f64 x) 3/2)))
(expm1.f64 (neg.f64 x))
(*.f64 (sqrt.f64 -1) (expm1.f64 x))
(expm1.f64 (neg.f64 x))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (expm1.f64 x)))
(expm1.f64 (neg.f64 x))
(*.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x)))
(expm1.f64 (neg.f64 x))
(*.f64 (pow.f64 1 1/3) (expm1.f64 x))
(expm1.f64 (neg.f64 x))
(*.f64 (pow.f64 (cbrt.f64 -1) 3) (expm1.f64 x))
(expm1.f64 (neg.f64 x))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (expm1.f64 x))
(expm1.f64 (neg.f64 x))
(*.f64 (pow.f64 (*.f64 (pow.f64 (expm1.f64 x) 2) -1) 1/3) (cbrt.f64 (expm1.f64 x)))
(expm1.f64 (neg.f64 x))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) -1) (sqrt.f64 (expm1.f64 x)))
(expm1.f64 (neg.f64 x))
(*.f64 (pow.f64 (neg.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) -1) (cbrt.f64 (expm1.f64 x)))
(expm1.f64 (neg.f64 x))
(*.f64 (pow.f64 (pow.f64 (*.f64 (expm1.f64 x) (cbrt.f64 (expm1.f64 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(expm1.f64 (neg.f64 x))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) 5/2) 1/3) (pow.f64 (expm1.f64 x) 1/6))
(expm1.f64 (neg.f64 x))
(*.f64 (exp.f64 (log.f64 -1)) (expm1.f64 x))
(expm1.f64 (neg.f64 x))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (expm1.f64 x) 2) -1)) (cbrt.f64 (expm1.f64 x)))
(expm1.f64 (neg.f64 x))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (expm1.f64 x) (cbrt.f64 (expm1.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(expm1.f64 (neg.f64 x))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 5/2)) (pow.f64 (expm1.f64 x) 1/6))
(expm1.f64 (neg.f64 x))
(*.f64 (sqrt.f64 (pow.f64 (expm1.f64 x) 3/2)) (pow.f64 (expm1.f64 x) 1/4))
(expm1.f64 (neg.f64 x))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 5)) (pow.f64 (expm1.f64 x) 1/6))
(expm1.f64 (neg.f64 x))
(/.f64 (expm1.f64 x) -1)
(expm1.f64 (neg.f64 x))
(/.f64 (expm1.f64 x) 1)
(expm1.f64 (neg.f64 x))
(/.f64 -1 (expm1.f64 x))
(expm1.f64 (neg.f64 x))
(/.f64 1 (expm1.f64 x))
(expm1.f64 (neg.f64 x))
(/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)))
(expm1.f64 (neg.f64 x))
(/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(expm1.f64 (neg.f64 x))
(/.f64 (sqrt.f64 -1) (expm1.f64 x))
(expm1.f64 (neg.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 x 3)) 1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (*.f64 (exp.f64 x) 1))))
(expm1.f64 (neg.f64 x))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 1) (+.f64 (exp.f64 x) 1))
(expm1.f64 (neg.f64 x))
(/.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (expm1.f64 x)))
(expm1.f64 (neg.f64 x))
(/.f64 (/.f64 -1 (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x)))
(expm1.f64 (neg.f64 x))
(/.f64 (pow.f64 (cbrt.f64 -1) 3) (expm1.f64 x))
(expm1.f64 (neg.f64 x))
(/.f64 (exp.f64 (log.f64 -1)) (expm1.f64 x))
(expm1.f64 (neg.f64 x))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (expm1.f64 x) 2) -1)) (cbrt.f64 (expm1.f64 x)))
(expm1.f64 (neg.f64 x))
(/.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -1)) (expm1.f64 x))
(expm1.f64 (neg.f64 x))
(/.f64 (*.f64 1 (sqrt.f64 -1)) (expm1.f64 x))
(expm1.f64 (neg.f64 x))
(/.f64 (*.f64 (sqrt.f64 -1) 1) (expm1.f64 x))
(expm1.f64 (neg.f64 x))
(pow.f64 (expm1.f64 x) -1)
(expm1.f64 (neg.f64 x))
(pow.f64 (expm1.f64 x) 1)
(expm1.f64 (neg.f64 x))
(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)
(expm1.f64 (neg.f64 x))
(pow.f64 (cbrt.f64 (expm1.f64 x)) -3)
(expm1.f64 (neg.f64 x))
(pow.f64 (pow.f64 (expm1.f64 x) 2) 1/2)
(expm1.f64 (neg.f64 x))
(pow.f64 (pow.f64 (expm1.f64 x) 2) -1/2)
(expm1.f64 (neg.f64 x))
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3)
(expm1.f64 (neg.f64 x))
(pow.f64 (pow.f64 (expm1.f64 x) 3) -1/3)
(expm1.f64 (neg.f64 x))
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2)
(expm1.f64 (neg.f64 x))
(pow.f64 (sqrt.f64 (expm1.f64 x)) -2)
(expm1.f64 (neg.f64 x))
(pow.f64 (E.f64) (log.f64 (expm1.f64 x)))
(expm1.f64 (neg.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2)) (cbrt.f64 (log.f64 (expm1.f64 x))))
(expm1.f64 (neg.f64 x))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (sqrt.f64 (log.f64 (expm1.f64 x))))
(expm1.f64 (neg.f64 x))
(neg.f64 (expm1.f64 x))
(expm1.f64 (neg.f64 x))
(sqrt.f64 (pow.f64 (expm1.f64 x) 2))
(expm1.f64 (neg.f64 x))
(fabs.f64 (expm1.f64 x))
(expm1.f64 (neg.f64 x))
(log.f64 (exp.f64 (expm1.f64 x)))
(expm1.f64 (neg.f64 x))
(cbrt.f64 (pow.f64 (expm1.f64 x) 3))
(expm1.f64 (neg.f64 x))
(log1p.f64 (expm1.f64 (expm1.f64 x)))
(expm1.f64 (neg.f64 x))
(exp.f64 (log.f64 (expm1.f64 x)))
(expm1.f64 (neg.f64 x))
(exp.f64 (*.f64 (log.f64 (expm1.f64 x)) -1))
(expm1.f64 (neg.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 3))
(expm1.f64 (neg.f64 x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 x) 3)) 1/3))
(expm1.f64 (neg.f64 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) 2))
(expm1.f64 (neg.f64 x))
(fma.f64 1 (exp.f64 x) -1)
(expm1.f64 (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) -1)
(expm1.f64 (neg.f64 x))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -1)
(expm1.f64 (neg.f64 x))
(+.f64 (exp.f64 x) -1)
(expm1.f64 (neg.f64 x))
(+.f64 0 (expm1.f64 x))
(expm1.f64 (neg.f64 x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (expm1.f64 x)) 2))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 x)))))
(expm1.f64 (neg.f64 x))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 x)))))
(expm1.f64 (neg.f64 x))
(-.f64 (exp.f64 x) 1)
(expm1.f64 (neg.f64 x))
(-.f64 (exp.f64 x) (log.f64 (E.f64)))
(expm1.f64 (neg.f64 x))
(-.f64 0 (expm1.f64 x))
(expm1.f64 (neg.f64 x))
(-.f64 (/.f64 (exp.f64 x) -1) -1)
(expm1.f64 (neg.f64 x))
(*.f64 (expm1.f64 x) -1)
(expm1.f64 (neg.f64 x))
(*.f64 (expm1.f64 x) 1)
(expm1.f64 (neg.f64 x))
(*.f64 (expm1.f64 x) (log.f64 (E.f64)))
(expm1.f64 (neg.f64 x))
(*.f64 (expm1.f64 x) (log.f64 (exp.f64 -1)))
(expm1.f64 (neg.f64 x))
(*.f64 -1 (expm1.f64 x))
(expm1.f64 (neg.f64 x))
(*.f64 1 (expm1.f64 x))
(expm1.f64 (neg.f64 x))
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(expm1.f64 (neg.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)))
(expm1.f64 (neg.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (neg.f64 (cbrt.f64 (expm1.f64 x))))
(expm1.f64 (neg.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (/.f64 (cbrt.f64 (expm1.f64 x)) -1))
(expm1.f64 (neg.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (neg.f64 (cbrt.f64 (expm1.f64 x))) -1))
(expm1.f64 (neg.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) -1) -1))
(expm1.f64 (neg.f64 x))
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(expm1.f64 (neg.f64 x))
(*.f64 (sqrt.f64 (expm1.f64 x)) (neg.f64 (sqrt.f64 (expm1.f64 x))))
(expm1.f64 (neg.f64 x))
(*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 (sqrt.f64 (expm1.f64 x)) -1))
(expm1.f64 (neg.f64 x))
(*.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) -1))
(expm1.f64 (neg.f64 x))
(*.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) -1) -1))
(expm1.f64 (neg.f64 x))
(*.f64 (pow.f64 (expm1.f64 x) 1/4) (sqrt.f64 (pow.f64 (expm1.f64 x) 3/2)))
(expm1.f64 (neg.f64 x))
(*.f64 (sqrt.f64 -1) (expm1.f64 x))
(expm1.f64 (neg.f64 x))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (expm1.f64 x)))
(expm1.f64 (neg.f64 x))
(*.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x)))
(expm1.f64 (neg.f64 x))
(*.f64 (pow.f64 1 1/3) (expm1.f64 x))
(expm1.f64 (neg.f64 x))
(*.f64 (pow.f64 (cbrt.f64 -1) 3) (expm1.f64 x))
(expm1.f64 (neg.f64 x))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (expm1.f64 x))
(expm1.f64 (neg.f64 x))
(*.f64 (pow.f64 (*.f64 (pow.f64 (expm1.f64 x) 2) -1) 1/3) (cbrt.f64 (expm1.f64 x)))
(expm1.f64 (neg.f64 x))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) -1) (sqrt.f64 (expm1.f64 x)))
(expm1.f64 (neg.f64 x))
(*.f64 (pow.f64 (neg.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) -1) (cbrt.f64 (expm1.f64 x)))
(expm1.f64 (neg.f64 x))
(*.f64 (pow.f64 (pow.f64 (*.f64 (expm1.f64 x) (cbrt.f64 (expm1.f64 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(expm1.f64 (neg.f64 x))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) 5/2) 1/3) (pow.f64 (expm1.f64 x) 1/6))
(expm1.f64 (neg.f64 x))
(*.f64 (exp.f64 (log.f64 -1)) (expm1.f64 x))
(expm1.f64 (neg.f64 x))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (expm1.f64 x) 2) -1)) (cbrt.f64 (expm1.f64 x)))
(expm1.f64 (neg.f64 x))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (expm1.f64 x) (cbrt.f64 (expm1.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(expm1.f64 (neg.f64 x))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 5/2)) (pow.f64 (expm1.f64 x) 1/6))
(expm1.f64 (neg.f64 x))
(*.f64 (sqrt.f64 (pow.f64 (expm1.f64 x) 3/2)) (pow.f64 (expm1.f64 x) 1/4))
(expm1.f64 (neg.f64 x))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 5)) (pow.f64 (expm1.f64 x) 1/6))
(expm1.f64 (neg.f64 x))
(pow.f64 (expm1.f64 x) -1)
(expm1.f64 (neg.f64 x))
(pow.f64 (expm1.f64 x) 1)
(expm1.f64 (neg.f64 x))
(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)
(expm1.f64 (neg.f64 x))
(pow.f64 (cbrt.f64 (expm1.f64 x)) -3)
(expm1.f64 (neg.f64 x))
(pow.f64 (pow.f64 (expm1.f64 x) 2) 1/2)
(expm1.f64 (neg.f64 x))
(pow.f64 (pow.f64 (expm1.f64 x) 2) -1/2)
(expm1.f64 (neg.f64 x))
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3)
(expm1.f64 (neg.f64 x))
(pow.f64 (pow.f64 (expm1.f64 x) 3) -1/3)
(expm1.f64 (neg.f64 x))
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2)
(expm1.f64 (neg.f64 x))
(pow.f64 (sqrt.f64 (expm1.f64 x)) -2)
(expm1.f64 (neg.f64 x))
(pow.f64 (E.f64) (log.f64 (expm1.f64 x)))
(expm1.f64 (neg.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2)) (cbrt.f64 (log.f64 (expm1.f64 x))))
(expm1.f64 (neg.f64 x))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (sqrt.f64 (log.f64 (expm1.f64 x))))
(expm1.f64 (neg.f64 x))
(neg.f64 (expm1.f64 x))
(expm1.f64 (neg.f64 x))
(sqrt.f64 (pow.f64 (expm1.f64 x) 2))
(expm1.f64 (neg.f64 x))
(fabs.f64 (expm1.f64 x))
(expm1.f64 (neg.f64 x))
(log.f64 (exp.f64 (expm1.f64 x)))
(expm1.f64 (neg.f64 x))
(cbrt.f64 (pow.f64 (expm1.f64 x) 3))
(expm1.f64 (neg.f64 x))
(expm1.f64 x)
(expm1.f64 (neg.f64 x))
(log1p.f64 (expm1.f64 (expm1.f64 x)))
(expm1.f64 (neg.f64 x))
(exp.f64 (log.f64 (expm1.f64 x)))
(expm1.f64 (neg.f64 x))
(exp.f64 (*.f64 (log.f64 (expm1.f64 x)) -1))
(expm1.f64 (neg.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 3))
(expm1.f64 (neg.f64 x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 x) 3)) 1/3))
(expm1.f64 (neg.f64 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) 2))
(expm1.f64 (neg.f64 x))
(fma.f64 1 (exp.f64 x) -1)
(expm1.f64 (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) -1)
(expm1.f64 (neg.f64 x))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -1)
(expm1.f64 (neg.f64 x))

eval23.0ms (0.7%)

Compiler

Compiled 998 to 633 computations (36.6% saved)

prune24.0ms (0.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1024106
Fresh000
Picked011
Done000
Total1025107
Accuracy
100.0%
Counts
107 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶66.7%
(/.f64 1 x)
▶37.7%
(/.f64 -1 (-.f64 (exp.f64 (neg.f64 x)) 1))
✓100.0%
(/.f64 -1 (expm1.f64 (neg.f64 x)))
▶66.2%
(+.f64 1/2 (/.f64 1 x))
▶66.3%
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
Compiler

Compiled 34 to 28 computations (17.6% saved)

localize185.0ms (5.5%)

Localize:

Found 5 expressions with local error:

NewAccuracyProgram
✓100.0%
(/.f64 -1 (-.f64 (exp.f64 (neg.f64 x)) 1))
✓39.3%
(-.f64 (exp.f64 (neg.f64 x)) 1)
✓100.0%
(+.f64 1/2 (/.f64 1 x))
✓100.0%
(+.f64 (*.f64 1/12 x) (/.f64 1 x))
✓99.5%
(*.f64 1/12 x)
Compiler

Compiled 64 to 42 computations (34.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 82.0ms
Operation ival-div, time spent: 30.0ms, 37.0% of total-time
Operation ival-exp, time spent: 14.0ms, 17.0% of total-time
Operation ival-mult, time spent: 12.0ms, 15.0% of total-time
Operation ival-add, time spent: 10.0ms, 12.0% of total-time
Operation const, time spent: 6.0ms, 7.0% of total-time
Operation ival-sub, time spent: 6.0ms, 7.0% of total-time
Operation ival-neg, time spent: 4.0ms, 5.0% of total-time

series10.0ms (0.3%)

Counts
5 → 22
Calls

15 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)
1.0ms
x
@0
(+.f64 (*.f64 1/12 x) (/.f64 1 x))
1.0ms
x
@-inf
(+.f64 (*.f64 1/12 x) (/.f64 1 x))

rewrite125.0ms (3.7%)

Algorithm
1×batch-egg-rewrite
Rules
1043×log1p-expm1-u
1043×expm1-log1p-u
694×fma-define
432×fma-neg
342×log1p-undefine
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01877
123869
2334269
Stop Event
1×node limit
Counts
5 → 212
Calls
Call 1
Inputs
(*.f64 1/12 x)
(+.f64 (*.f64 1/12 x) (/.f64 1 x))
(+.f64 1/2 (/.f64 1 x))
(-.f64 (exp.f64 (neg.f64 x)) 1)
(/.f64 -1 (-.f64 (exp.f64 (neg.f64 x)) 1))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/12 x))) 1)
(pow.f64 (*.f64 1/12 x) 1)
(pow.f64 (cbrt.f64 (*.f64 1/12 x)) 3)
(pow.f64 (*.f64 (pow.f64 x 3) 1/1728) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/12 x)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 2) 1/144))
(log.f64 (pow.f64 (exp.f64 1/12) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/12 x))))
(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 (*.f64 1/12 x)) 1))
(-.f64 (*.f64 1/12 x) (/.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/12 x (/.f64 1 x)))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 2) 1/144) (fma.f64 1/12 x (/.f64 1 x))) (/.f64 (pow.f64 x -2) (fma.f64 1/12 x (/.f64 1 x))))
(*.f64 1 (fma.f64 1/12 x (/.f64 1 x)))
(*.f64 (fma.f64 1/12 x (/.f64 1 x)) 1)
(*.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))))
(*.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 1 (fma.f64 1/12 x (/.f64 1 x))))
(*.f64 (sqrt.f64 (fma.f64 1/12 x (/.f64 1 x))) (sqrt.f64 (fma.f64 1/12 x (/.f64 1 x))))
(*.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 (*.f64 1/12 x) x))))
(*.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 1/12) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 (*.f64 1/12 x)) (pow.f64 x -1/2)))
(/.f64 1 (/.f64 (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 (*.f64 1/12 x) x)) (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3))))
(/.f64 1 (/.f64 (fma.f64 1/12 x (/.f64 1 x)) (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2))))
(/.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (fma.f64 1/12 x (/.f64 1 x)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 (*.f64 1/12 x) x)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (-.f64 (*.f64 (pow.f64 x 2) 1/144) (/.f64 (*.f64 1/12 x) x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3))) (neg.f64 (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 (*.f64 1/12 x) x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2))) (neg.f64 (fma.f64 1/12 x (/.f64 1 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3)) (fma.f64 (pow.f64 x 2) 1/144 (+.f64 (pow.f64 x -2) (/.f64 (*.f64 1/12 x) x))))
(/.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x 2) 1/144)) (-.f64 (/.f64 1 x) (*.f64 1/12 x)))
(pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 3)
(pow.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 2)
(sqrt.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)))
(log.f64 (exp.f64 (fma.f64 1/12 x (/.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/12 x (/.f64 1 x)))))
(log.f64 (/.f64 (pow.f64 (exp.f64 1/12) x) (exp.f64 (/.f64 1 x))))
(cbrt.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/12 x (/.f64 1 x))))
(hypot.f64 (*.f64 1/12 x) (/.f64 1 x))
(log1p.f64 (expm1.f64 (fma.f64 1/12 x (/.f64 1 x))))
(exp.f64 (log.f64 (fma.f64 1/12 x (/.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/12 x (/.f64 1 x))) 1))
(fma.f64 1/12 x (/.f64 1 x))
(fma.f64 1/12 x (*.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 1/12 x (*.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 x 1/12 (/.f64 1 x))
(fma.f64 x 1/12 (*.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 x 1/12 (*.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 (*.f64 1/12 x) 1 (/.f64 1 x))
(fma.f64 (*.f64 1/12 x) 1 (*.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 (*.f64 1/12 x) 1 (*.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 1 (*.f64 1/12 x) (/.f64 1 x))
(fma.f64 1 (*.f64 1/12 x) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 1 (*.f64 1/12 x) (*.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 1 (/.f64 1 x) (*.f64 1/12 x))
(fma.f64 1 (fma.f64 1/12 x (/.f64 1 x)) (+.f64 (/.f64 1 x) (/.f64 1 x)))
(fma.f64 1 (fma.f64 1/12 x (/.f64 1 x)) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))
(fma.f64 1 (fma.f64 1/12 x (/.f64 1 x)) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x)))
(fma.f64 (/.f64 1 x) 1 (*.f64 1/12 x))
(fma.f64 (fma.f64 1/12 x (/.f64 1 x)) 1 (+.f64 (/.f64 1 x) (/.f64 1 x)))
(fma.f64 (fma.f64 1/12 x (/.f64 1 x)) 1 (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))
(fma.f64 (fma.f64 1/12 x (/.f64 1 x)) 1 (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x)))
(fma.f64 -1 (/.f64 1 x) (*.f64 1/12 x))
(fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (*.f64 1/12 x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (*.f64 1/12 x))
(fma.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 2) (+.f64 (/.f64 1 x) (/.f64 1 x)))
(fma.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 2) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))
(fma.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 2) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) (+.f64 (/.f64 1 x) (/.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x)))
(fma.f64 (cbrt.f64 (*.f64 1/12 x)) (pow.f64 (cbrt.f64 (*.f64 1/12 x)) 2) (/.f64 1 x))
(fma.f64 (cbrt.f64 (*.f64 1/12 x)) (pow.f64 (cbrt.f64 (*.f64 1/12 x)) 2) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 (cbrt.f64 (*.f64 1/12 x)) (pow.f64 (cbrt.f64 (*.f64 1/12 x)) 2) (*.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/12 x)) 2) (cbrt.f64 (*.f64 1/12 x)) (/.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/12 x)) 2) (cbrt.f64 (*.f64 1/12 x)) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/12 x)) 2) (cbrt.f64 (*.f64 1/12 x)) (*.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/12) (/.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/12) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/12) (*.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 1 (fma.f64 1/12 x (/.f64 1 x))) (+.f64 (/.f64 1 x) (/.f64 1 x)))
(fma.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 1 (fma.f64 1/12 x (/.f64 1 x))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))
(fma.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 1 (fma.f64 1/12 x (/.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x)))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 1/12 x))
(fma.f64 (sqrt.f64 (fma.f64 1/12 x (/.f64 1 x))) (sqrt.f64 (fma.f64 1/12 x (/.f64 1 x))) (+.f64 (/.f64 1 x) (/.f64 1 x)))
(fma.f64 (sqrt.f64 (fma.f64 1/12 x (/.f64 1 x))) (sqrt.f64 (fma.f64 1/12 x (/.f64 1 x))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))
(fma.f64 (sqrt.f64 (fma.f64 1/12 x (/.f64 1 x))) (sqrt.f64 (fma.f64 1/12 x (/.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x)))
(fma.f64 (sqrt.f64 (*.f64 1/12 x)) (sqrt.f64 (*.f64 1/12 x)) (/.f64 1 x))
(fma.f64 (sqrt.f64 (*.f64 1/12 x)) (sqrt.f64 (*.f64 1/12 x)) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 (sqrt.f64 (*.f64 1/12 x)) (sqrt.f64 (*.f64 1/12 x)) (*.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/12) (/.f64 1 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/12) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/12) (*.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 (*.f64 1/12 x) x))) (+.f64 (/.f64 1 x) (/.f64 1 x)))
(fma.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 (*.f64 1/12 x) x))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))
(fma.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 (*.f64 1/12 x) x))) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x)))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1) (pow.f64 (cbrt.f64 x) -1) (*.f64 1/12 x))
(fma.f64 (pow.f64 (sqrt.f64 x) -1) (pow.f64 (sqrt.f64 x) -1) (*.f64 1/12 x))
(fma.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 1/12) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 (*.f64 1/12 x)) (pow.f64 x -1/2)) (+.f64 (/.f64 1 x) (/.f64 1 x)))
(fma.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 1/12) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 (*.f64 1/12 x)) (pow.f64 x -1/2)) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))
(fma.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 1/12) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 (*.f64 1/12 x)) (pow.f64 x -1/2)) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x)))
(fma.f64 (*.f64 1/12 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 1 x))
(fma.f64 (*.f64 1/12 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 (*.f64 1/12 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 (*.f64 1/12 (sqrt.f64 x)) (sqrt.f64 x) (/.f64 1 x))
(fma.f64 (*.f64 1/12 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 (*.f64 1/12 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(-.f64 1/2 (/.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 x) 1/2))) 1)
(-.f64 (/.f64 1/4 (+.f64 (/.f64 1 x) 1/2)) (/.f64 (pow.f64 x -2) (+.f64 (/.f64 1 x) 1/2)))
(*.f64 1 (+.f64 (/.f64 1 x) 1/2))
(*.f64 (+.f64 (/.f64 1 x) 1/2) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 1 x) 1/2)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) 1/2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) 1/2)) 2) (cbrt.f64 (+.f64 (/.f64 1 x) 1/2)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 x) 1/2)) (sqrt.f64 (+.f64 (/.f64 1 x) 1/2)))
(*.f64 (+.f64 (pow.f64 x -3) 1/8) (/.f64 1 (+.f64 1/4 (-.f64 (pow.f64 x -2) (/.f64 1/2 x)))))
(*.f64 (+.f64 1/4 (pow.f64 x -2)) (/.f64 1 (+.f64 (/.f64 1 x) 1/2)))
(/.f64 1 (/.f64 (+.f64 1/4 (-.f64 (pow.f64 x -2) (/.f64 1/2 x))) (+.f64 (pow.f64 x -3) 1/8)))
(/.f64 1 (/.f64 (+.f64 (/.f64 1 x) 1/2) (+.f64 1/4 (pow.f64 x -2))))
(/.f64 (+.f64 (pow.f64 x -3) 1/8) (+.f64 1/4 (-.f64 (pow.f64 x -2) (/.f64 1/2 x))))
(/.f64 (+.f64 (pow.f64 x -3) 1/8) (+.f64 (pow.f64 x -2) (-.f64 1/4 (/.f64 1/2 x))))
(/.f64 (+.f64 1/4 (pow.f64 x -2)) (+.f64 (/.f64 1 x) 1/2))
(/.f64 (neg.f64 (+.f64 (pow.f64 x -3) 1/8)) (neg.f64 (+.f64 1/4 (-.f64 (pow.f64 x -2) (/.f64 1/2 x)))))
(/.f64 (neg.f64 (+.f64 1/4 (pow.f64 x -2))) (neg.f64 (+.f64 (/.f64 1 x) 1/2)))
(/.f64 (-.f64 1/8 (pow.f64 x -3)) (+.f64 1/4 (+.f64 (pow.f64 x -2) (/.f64 1/2 x))))
(/.f64 (-.f64 (pow.f64 x -2) 1/4) (-.f64 (/.f64 1 x) 1/2))
(pow.f64 (+.f64 (/.f64 1 x) 1/2) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) 1/2)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 1 x) 1/2) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 x) 1/2)) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) 1/2) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 1 x) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 x) 1/2))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) 1/2) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 1 x) 1/2)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 x) 1/2)))
(exp.f64 (log.f64 (+.f64 (/.f64 1 x) 1/2)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 x) 1/2)) 1))
(fma.f64 1 (/.f64 1 x) 1/2)
(fma.f64 (/.f64 1 x) 1 1/2)
(fma.f64 -1 (/.f64 1 x) 1/2)
(fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) 1/2)
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) 1/2)
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) 1/2)
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1) (pow.f64 (cbrt.f64 x) -1) 1/2)
(fma.f64 (pow.f64 (sqrt.f64 x) -1) (pow.f64 (sqrt.f64 x) -1) 1/2)
(+.f64 (exp.f64 x) -1)
(+.f64 -1 (exp.f64 x))
(*.f64 1 (expm1.f64 x))
(*.f64 (expm1.f64 x) 1)
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x)))))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (/.f64 1 (+.f64 1 (exp.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (exp.f64 x)) 1) (-.f64 (sqrt.f64 (exp.f64 x)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x))) (+.f64 (pow.f64 (exp.f64 x) 3) -1)))
(/.f64 1 (/.f64 (+.f64 1 (exp.f64 x)) (+.f64 (pow.f64 (exp.f64 x) 2) -1)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (*.f64 (exp.f64 x) -1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 1 (exp.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1)) (neg.f64 (+.f64 1 (exp.f64 x))))
(pow.f64 (expm1.f64 x) 1)
(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2)
(sqrt.f64 (pow.f64 (expm1.f64 x) 2))
(log.f64 (exp.f64 (expm1.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (expm1.f64 x) 3))
(expm1.f64 x)
(log1p.f64 (expm1.f64 (expm1.f64 x)))
(exp.f64 (log.f64 (expm1.f64 x)))
(exp.f64 (*.f64 (log.f64 (expm1.f64 x)) 1))
(fma.f64 1 (exp.f64 x) -1)
(fma.f64 (exp.f64 x) 1 -1)
(fma.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (*.f64 (cbrt.f64 (exp.f64 x)) 1) -1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (*.f64 (sqrt.f64 (exp.f64 x)) 1) -1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (expm1.f64 x)))) 1)
(*.f64 1 (/.f64 -1 (expm1.f64 x)))
(*.f64 -1 (/.f64 1 (expm1.f64 x)))
(*.f64 (/.f64 -1 (expm1.f64 x)) 1)
(*.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x))) (pow.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x))) 2) (cbrt.f64 (/.f64 -1 (expm1.f64 x))))
(*.f64 (sqrt.f64 (/.f64 -1 (expm1.f64 x))) (sqrt.f64 (/.f64 -1 (expm1.f64 x))))
(*.f64 (/.f64 1 (expm1.f64 x)) -1)
(*.f64 (/.f64 -1 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x))))
(*.f64 (/.f64 -1 (+.f64 (pow.f64 (exp.f64 x) 2) -1)) (+.f64 1 (exp.f64 x)))
(pow.f64 (/.f64 -1 (expm1.f64 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 -1 (expm1.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 -1 (expm1.f64 x))) 2)
(pow.f64 (neg.f64 (expm1.f64 x)) -1)
(pow.f64 (*.f64 (expm1.f64 x) -1) -1)
(neg.f64 (/.f64 1 (expm1.f64 x)))
(sqrt.f64 (/.f64 1 (pow.f64 (expm1.f64 x) 2)))
(log.f64 (exp.f64 (/.f64 -1 (expm1.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (expm1.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 -1 (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))

simplify119.0ms (3.5%)

Algorithm
1×egg-herbie
Rules
674×distribute-rgt-in
620×distribute-lft-in
564×log-prod
480×cancel-sign-sub-inv
474×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04227641
19876793
233626656
Stop Event
1×node limit
Counts
234 → 323
Calls
Call 1
Inputs
(/.f64 1 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(/.f64 1 x)
1/2
1/2
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 (exp.f64 (*.f64 -1 x)) 1)
(-.f64 (exp.f64 (*.f64 -1 x)) 1)
(-.f64 (exp.f64 (*.f64 -1 x)) 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 -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 (exp.f64 (log1p.f64 (*.f64 1/12 x))) 1)
(pow.f64 (*.f64 1/12 x) 1)
(pow.f64 (cbrt.f64 (*.f64 1/12 x)) 3)
(pow.f64 (*.f64 (pow.f64 x 3) 1/1728) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/12 x)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 2) 1/144))
(log.f64 (pow.f64 (exp.f64 1/12) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/12 x))))
(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 (*.f64 1/12 x)) 1))
(-.f64 (*.f64 1/12 x) (/.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/12 x (/.f64 1 x)))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 2) 1/144) (fma.f64 1/12 x (/.f64 1 x))) (/.f64 (pow.f64 x -2) (fma.f64 1/12 x (/.f64 1 x))))
(*.f64 1 (fma.f64 1/12 x (/.f64 1 x)))
(*.f64 (fma.f64 1/12 x (/.f64 1 x)) 1)
(*.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))))
(*.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 1 (fma.f64 1/12 x (/.f64 1 x))))
(*.f64 (sqrt.f64 (fma.f64 1/12 x (/.f64 1 x))) (sqrt.f64 (fma.f64 1/12 x (/.f64 1 x))))
(*.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 (*.f64 1/12 x) x))))
(*.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 1/12) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 (*.f64 1/12 x)) (pow.f64 x -1/2)))
(/.f64 1 (/.f64 (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 (*.f64 1/12 x) x)) (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3))))
(/.f64 1 (/.f64 (fma.f64 1/12 x (/.f64 1 x)) (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2))))
(/.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (fma.f64 1/12 x (/.f64 1 x)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 (*.f64 1/12 x) x)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (-.f64 (*.f64 (pow.f64 x 2) 1/144) (/.f64 (*.f64 1/12 x) x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3))) (neg.f64 (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 (*.f64 1/12 x) x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2))) (neg.f64 (fma.f64 1/12 x (/.f64 1 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/1728) (pow.f64 x -3)) (fma.f64 (pow.f64 x 2) 1/144 (+.f64 (pow.f64 x -2) (/.f64 (*.f64 1/12 x) x))))
(/.f64 (-.f64 (pow.f64 x -2) (*.f64 (pow.f64 x 2) 1/144)) (-.f64 (/.f64 1 x) (*.f64 1/12 x)))
(pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 3)
(pow.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 2)
(sqrt.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)))
(log.f64 (exp.f64 (fma.f64 1/12 x (/.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/12 x (/.f64 1 x)))))
(log.f64 (/.f64 (pow.f64 (exp.f64 1/12) x) (exp.f64 (/.f64 1 x))))
(cbrt.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/12 x (/.f64 1 x))))
(hypot.f64 (*.f64 1/12 x) (/.f64 1 x))
(log1p.f64 (expm1.f64 (fma.f64 1/12 x (/.f64 1 x))))
(exp.f64 (log.f64 (fma.f64 1/12 x (/.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/12 x (/.f64 1 x))) 1))
(fma.f64 1/12 x (/.f64 1 x))
(fma.f64 1/12 x (*.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 1/12 x (*.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 x 1/12 (/.f64 1 x))
(fma.f64 x 1/12 (*.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 x 1/12 (*.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 (*.f64 1/12 x) 1 (/.f64 1 x))
(fma.f64 (*.f64 1/12 x) 1 (*.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 (*.f64 1/12 x) 1 (*.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 1 (*.f64 1/12 x) (/.f64 1 x))
(fma.f64 1 (*.f64 1/12 x) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 1 (*.f64 1/12 x) (*.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 1 (/.f64 1 x) (*.f64 1/12 x))
(fma.f64 1 (fma.f64 1/12 x (/.f64 1 x)) (+.f64 (/.f64 1 x) (/.f64 1 x)))
(fma.f64 1 (fma.f64 1/12 x (/.f64 1 x)) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))
(fma.f64 1 (fma.f64 1/12 x (/.f64 1 x)) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x)))
(fma.f64 (/.f64 1 x) 1 (*.f64 1/12 x))
(fma.f64 (fma.f64 1/12 x (/.f64 1 x)) 1 (+.f64 (/.f64 1 x) (/.f64 1 x)))
(fma.f64 (fma.f64 1/12 x (/.f64 1 x)) 1 (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))
(fma.f64 (fma.f64 1/12 x (/.f64 1 x)) 1 (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x)))
(fma.f64 -1 (/.f64 1 x) (*.f64 1/12 x))
(fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (*.f64 1/12 x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (*.f64 1/12 x))
(fma.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 2) (+.f64 (/.f64 1 x) (/.f64 1 x)))
(fma.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 2) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))
(fma.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 2) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) (+.f64 (/.f64 1 x) (/.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x)))
(fma.f64 (cbrt.f64 (*.f64 1/12 x)) (pow.f64 (cbrt.f64 (*.f64 1/12 x)) 2) (/.f64 1 x))
(fma.f64 (cbrt.f64 (*.f64 1/12 x)) (pow.f64 (cbrt.f64 (*.f64 1/12 x)) 2) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 (cbrt.f64 (*.f64 1/12 x)) (pow.f64 (cbrt.f64 (*.f64 1/12 x)) 2) (*.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/12 x)) 2) (cbrt.f64 (*.f64 1/12 x)) (/.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/12 x)) 2) (cbrt.f64 (*.f64 1/12 x)) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/12 x)) 2) (cbrt.f64 (*.f64 1/12 x)) (*.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/12) (/.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/12) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/12) (*.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 1 (fma.f64 1/12 x (/.f64 1 x))) (+.f64 (/.f64 1 x) (/.f64 1 x)))
(fma.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 1 (fma.f64 1/12 x (/.f64 1 x))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))
(fma.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 1 (fma.f64 1/12 x (/.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x)))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 1/12 x))
(fma.f64 (sqrt.f64 (fma.f64 1/12 x (/.f64 1 x))) (sqrt.f64 (fma.f64 1/12 x (/.f64 1 x))) (+.f64 (/.f64 1 x) (/.f64 1 x)))
(fma.f64 (sqrt.f64 (fma.f64 1/12 x (/.f64 1 x))) (sqrt.f64 (fma.f64 1/12 x (/.f64 1 x))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))
(fma.f64 (sqrt.f64 (fma.f64 1/12 x (/.f64 1 x))) (sqrt.f64 (fma.f64 1/12 x (/.f64 1 x))) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x)))
(fma.f64 (sqrt.f64 (*.f64 1/12 x)) (sqrt.f64 (*.f64 1/12 x)) (/.f64 1 x))
(fma.f64 (sqrt.f64 (*.f64 1/12 x)) (sqrt.f64 (*.f64 1/12 x)) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 (sqrt.f64 (*.f64 1/12 x)) (sqrt.f64 (*.f64 1/12 x)) (*.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/12) (/.f64 1 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/12) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/12) (*.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 (*.f64 1/12 x) x))) (+.f64 (/.f64 1 x) (/.f64 1 x)))
(fma.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 (*.f64 1/12 x) x))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))
(fma.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 (*.f64 1/12 x) x))) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x)))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1) (pow.f64 (cbrt.f64 x) -1) (*.f64 1/12 x))
(fma.f64 (pow.f64 (sqrt.f64 x) -1) (pow.f64 (sqrt.f64 x) -1) (*.f64 1/12 x))
(fma.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 1/12) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 (*.f64 1/12 x)) (pow.f64 x -1/2)) (+.f64 (/.f64 1 x) (/.f64 1 x)))
(fma.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 1/12) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 (*.f64 1/12 x)) (pow.f64 x -1/2)) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))
(fma.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 1/12) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 (*.f64 1/12 x)) (pow.f64 x -1/2)) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x)))
(fma.f64 (*.f64 1/12 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 1 x))
(fma.f64 (*.f64 1/12 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 (*.f64 1/12 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 (*.f64 1/12 (sqrt.f64 x)) (sqrt.f64 x) (/.f64 1 x))
(fma.f64 (*.f64 1/12 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 (*.f64 1/12 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(-.f64 1/2 (/.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 x) 1/2))) 1)
(-.f64 (/.f64 1/4 (+.f64 (/.f64 1 x) 1/2)) (/.f64 (pow.f64 x -2) (+.f64 (/.f64 1 x) 1/2)))
(*.f64 1 (+.f64 (/.f64 1 x) 1/2))
(*.f64 (+.f64 (/.f64 1 x) 1/2) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 1 x) 1/2)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) 1/2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) 1/2)) 2) (cbrt.f64 (+.f64 (/.f64 1 x) 1/2)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 x) 1/2)) (sqrt.f64 (+.f64 (/.f64 1 x) 1/2)))
(*.f64 (+.f64 (pow.f64 x -3) 1/8) (/.f64 1 (+.f64 1/4 (-.f64 (pow.f64 x -2) (/.f64 1/2 x)))))
(*.f64 (+.f64 1/4 (pow.f64 x -2)) (/.f64 1 (+.f64 (/.f64 1 x) 1/2)))
(/.f64 1 (/.f64 (+.f64 1/4 (-.f64 (pow.f64 x -2) (/.f64 1/2 x))) (+.f64 (pow.f64 x -3) 1/8)))
(/.f64 1 (/.f64 (+.f64 (/.f64 1 x) 1/2) (+.f64 1/4 (pow.f64 x -2))))
(/.f64 (+.f64 (pow.f64 x -3) 1/8) (+.f64 1/4 (-.f64 (pow.f64 x -2) (/.f64 1/2 x))))
(/.f64 (+.f64 (pow.f64 x -3) 1/8) (+.f64 (pow.f64 x -2) (-.f64 1/4 (/.f64 1/2 x))))
(/.f64 (+.f64 1/4 (pow.f64 x -2)) (+.f64 (/.f64 1 x) 1/2))
(/.f64 (neg.f64 (+.f64 (pow.f64 x -3) 1/8)) (neg.f64 (+.f64 1/4 (-.f64 (pow.f64 x -2) (/.f64 1/2 x)))))
(/.f64 (neg.f64 (+.f64 1/4 (pow.f64 x -2))) (neg.f64 (+.f64 (/.f64 1 x) 1/2)))
(/.f64 (-.f64 1/8 (pow.f64 x -3)) (+.f64 1/4 (+.f64 (pow.f64 x -2) (/.f64 1/2 x))))
(/.f64 (-.f64 (pow.f64 x -2) 1/4) (-.f64 (/.f64 1 x) 1/2))
(pow.f64 (+.f64 (/.f64 1 x) 1/2) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) 1/2)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 1 x) 1/2) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1 x) 1/2)) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1 x) 1/2) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 1 x) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 x) 1/2))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 x) 1/2) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 1 x) 1/2)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1 x) 1/2)))
(exp.f64 (log.f64 (+.f64 (/.f64 1 x) 1/2)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 x) 1/2)) 1))
(fma.f64 1 (/.f64 1 x) 1/2)
(fma.f64 (/.f64 1 x) 1 1/2)
(fma.f64 -1 (/.f64 1 x) 1/2)
(fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) 1/2)
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) 1/2)
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) 1/2)
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1) (pow.f64 (cbrt.f64 x) -1) 1/2)
(fma.f64 (pow.f64 (sqrt.f64 x) -1) (pow.f64 (sqrt.f64 x) -1) 1/2)
(+.f64 (exp.f64 x) -1)
(+.f64 -1 (exp.f64 x))
(*.f64 1 (expm1.f64 x))
(*.f64 (expm1.f64 x) 1)
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x)))))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (/.f64 1 (+.f64 1 (exp.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (exp.f64 x)) 1) (-.f64 (sqrt.f64 (exp.f64 x)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x))) (+.f64 (pow.f64 (exp.f64 x) 3) -1)))
(/.f64 1 (/.f64 (+.f64 1 (exp.f64 x)) (+.f64 (pow.f64 (exp.f64 x) 2) -1)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (*.f64 (exp.f64 x) -1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 1 (exp.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1)) (neg.f64 (+.f64 1 (exp.f64 x))))
(pow.f64 (expm1.f64 x) 1)
(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2)
(sqrt.f64 (pow.f64 (expm1.f64 x) 2))
(log.f64 (exp.f64 (expm1.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (expm1.f64 x) 3))
(expm1.f64 x)
(log1p.f64 (expm1.f64 (expm1.f64 x)))
(exp.f64 (log.f64 (expm1.f64 x)))
(exp.f64 (*.f64 (log.f64 (expm1.f64 x)) 1))
(fma.f64 1 (exp.f64 x) -1)
(fma.f64 (exp.f64 x) 1 -1)
(fma.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (*.f64 (cbrt.f64 (exp.f64 x)) 1) -1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (*.f64 (sqrt.f64 (exp.f64 x)) 1) -1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (expm1.f64 x)))) 1)
(*.f64 1 (/.f64 -1 (expm1.f64 x)))
(*.f64 -1 (/.f64 1 (expm1.f64 x)))
(*.f64 (/.f64 -1 (expm1.f64 x)) 1)
(*.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x))) (pow.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x))) 2) (cbrt.f64 (/.f64 -1 (expm1.f64 x))))
(*.f64 (sqrt.f64 (/.f64 -1 (expm1.f64 x))) (sqrt.f64 (/.f64 -1 (expm1.f64 x))))
(*.f64 (/.f64 1 (expm1.f64 x)) -1)
(*.f64 (/.f64 -1 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x))))
(*.f64 (/.f64 -1 (+.f64 (pow.f64 (exp.f64 x) 2) -1)) (+.f64 1 (exp.f64 x)))
(pow.f64 (/.f64 -1 (expm1.f64 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 -1 (expm1.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 -1 (expm1.f64 x))) 2)
(pow.f64 (neg.f64 (expm1.f64 x)) -1)
(pow.f64 (*.f64 (expm1.f64 x) -1) -1)
(neg.f64 (/.f64 1 (expm1.f64 x)))
(sqrt.f64 (/.f64 1 (pow.f64 (expm1.f64 x) 2)))
(log.f64 (exp.f64 (/.f64 -1 (expm1.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (expm1.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 -1 (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))
Outputs
(/.f64 1 x)
(*.f64 1/12 x)
(*.f64 x 1/12)
(*.f64 1/12 x)
(*.f64 x 1/12)
(/.f64 1 x)
1/2
1/2
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1 x (*.f64 1/2 (pow.f64 x 2)))
(-.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2))))
(fma.f64 -1 x (fma.f64 -1/6 (pow.f64 x 3) (*.f64 1/2 (pow.f64 x 2))))
(-.f64 (fma.f64 1/2 (pow.f64 x 2) (*.f64 -1/6 (pow.f64 x 3))) x)
(-.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (*.f64 x -1/6))) x)
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))))
(fma.f64 -1 x (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/24 (pow.f64 x 4) (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (pow.f64 x 2) (*.f64 1/24 (pow.f64 x 4)))) x)
(-.f64 (exp.f64 (*.f64 -1 x)) 1)
(expm1.f64 (neg.f64 x))
(-.f64 (exp.f64 (*.f64 -1 x)) 1)
(expm1.f64 (neg.f64 x))
(-.f64 (exp.f64 (*.f64 -1 x)) 1)
(expm1.f64 (neg.f64 x))
(-.f64 (exp.f64 (*.f64 -1 x)) 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 x 1/12 (/.f64 1 x)))
(+.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 x 1/12 (/.f64 1 x))))
(+.f64 1/2 (fma.f64 (pow.f64 x 3) -1/720 (fma.f64 x 1/12 (/.f64 1 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 (exp.f64 (log1p.f64 (*.f64 1/12 x))) 1)
(expm1.f64 (log1p.f64 (*.f64 x 1/12)))
(pow.f64 (*.f64 1/12 x) 1)
(*.f64 x 1/12)
(pow.f64 (cbrt.f64 (*.f64 1/12 x)) 3)
(*.f64 x 1/12)
(pow.f64 (*.f64 (pow.f64 x 3) 1/1728) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/1728))
(pow.f64 (sqrt.f64 (*.f64 1/12 x)) 2)
(*.f64 x 1/12)
(sqrt.f64 (*.f64 (pow.f64 x 2) 1/144))
(fabs.f64 (*.f64 x 1/12))
(log.f64 (pow.f64 (exp.f64 1/12) x))
(*.f64 x 1/12)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/12 x))))
(*.f64 x 1/12)
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/1728))
(expm1.f64 (log1p.f64 (*.f64 1/12 x)))
(expm1.f64 (log1p.f64 (*.f64 x 1/12)))
(log1p.f64 (expm1.f64 (*.f64 1/12 x)))
(*.f64 x 1/12)
(exp.f64 (log.f64 (*.f64 1/12 x)))
(*.f64 x 1/12)
(exp.f64 (*.f64 (log.f64 (*.f64 1/12 x)) 1))
(*.f64 x 1/12)
(-.f64 (*.f64 1/12 x) (/.f64 1 x))
(-.f64 (*.f64 x 1/12) (/.f64 1 x))
(fma.f64 x 1/12 (/.f64 -1 x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/12 x (/.f64 1 x)))) 1)
(expm1.f64 (log1p.f64 (fma.f64 x 1/12 (/.f64 1 x))))
(-.f64 (/.f64 (*.f64 (pow.f64 x 2) 1/144) (fma.f64 1/12 x (/.f64 1 x))) (/.f64 (pow.f64 x -2) (fma.f64 1/12 x (/.f64 1 x))))
(-.f64 (*.f64 (pow.f64 x 2) (/.f64 1/144 (fma.f64 x 1/12 (/.f64 1 x)))) (/.f64 (pow.f64 x -2) (fma.f64 x 1/12 (/.f64 1 x))))
(fma.f64 (pow.f64 x 2) (/.f64 1/144 (fma.f64 x 1/12 (/.f64 1 x))) (/.f64 (pow.f64 x -2) (fma.f64 x -1/12 (/.f64 -1 x))))
(*.f64 1 (fma.f64 1/12 x (/.f64 1 x)))
(fma.f64 x 1/12 (/.f64 1 x))
(*.f64 (fma.f64 1/12 x (/.f64 1 x)) 1)
(fma.f64 x 1/12 (/.f64 1 x))
(*.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 2))
(fma.f64 x 1/12 (/.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))))
(fma.f64 x 1/12 (/.f64 1 x))
(*.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 1 (fma.f64 1/12 x (/.f64 1 x))))
(*.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 1 (fma.f64 x 1/12 (/.f64 1 x))))
(/.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (fma.f64 x 1/12 (/.f64 1 x)))
(*.f64 (sqrt.f64 (fma.f64 1/12 x (/.f64 1 x))) (sqrt.f64 (fma.f64 1/12 x (/.f64 1 x))))
(fma.f64 x 1/12 (/.f64 1 x))
(*.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 (*.f64 1/12 x) x))))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) 1) (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (*.f64 1/12 (/.f64 x x))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x 2) 1/144 -1/12)))
(*.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 1/12) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 (*.f64 1/12 x)) (pow.f64 x -1/2)))
(*.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 1/12) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 (*.f64 x 1/12)) (pow.f64 x -1/2)))
(/.f64 1 (/.f64 (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 (*.f64 1/12 x) x)) (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3))))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) 1) (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (*.f64 1/12 (/.f64 x x))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x 2) 1/144 -1/12)))
(/.f64 1 (/.f64 (fma.f64 1/12 x (/.f64 1 x)) (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2))))
(*.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 1 (fma.f64 x 1/12 (/.f64 1 x))))
(/.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (fma.f64 x 1/12 (/.f64 1 x)))
(/.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (fma.f64 1/12 x (/.f64 1 x)))
(*.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 1 (fma.f64 x 1/12 (/.f64 1 x))))
(/.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (fma.f64 x 1/12 (/.f64 1 x)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 (*.f64 1/12 x) x)))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) 1) (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (*.f64 1/12 (/.f64 x x))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x 2) 1/144 -1/12)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (-.f64 (*.f64 (pow.f64 x 2) 1/144) (/.f64 (*.f64 1/12 x) x))))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) 1) (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (*.f64 1/12 (/.f64 x x))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x 2) 1/144 -1/12)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3))) (neg.f64 (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) (/.f64 (*.f64 1/12 x) x))))
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(expm1.f64 x)
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(+.f64 -1 (exp.f64 x))
(expm1.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)))
(+.f64 -1 (exp.f64 x))
(expm1.f64 x)
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(+.f64 -1 (exp.f64 x))
(expm1.f64 x)
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x)))))
(*.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x)))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (/.f64 1 (+.f64 1 (exp.f64 x))))
(*.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 2)) (/.f64 1 (+.f64 1 (exp.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (exp.f64 x)))
(*.f64 (+.f64 (sqrt.f64 (exp.f64 x)) 1) (-.f64 (sqrt.f64 (exp.f64 x)) 1))
(+.f64 -1 (exp.f64 x))
(expm1.f64 x)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x))) (+.f64 (pow.f64 (exp.f64 x) 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x)))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(/.f64 1 (/.f64 (+.f64 1 (exp.f64 x)) (+.f64 (pow.f64 (exp.f64 x) 2) -1)))
(*.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 2)) (/.f64 1 (+.f64 1 (exp.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (exp.f64 x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x))))
(*.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x)))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (*.f64 (exp.f64 x) -1))))
(*.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x)))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 1 (exp.f64 x)))
(*.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 2)) (/.f64 1 (+.f64 1 (exp.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (exp.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x)))))
(*.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x)))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1)) (neg.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 2)) (/.f64 1 (+.f64 1 (exp.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (exp.f64 x)))
(pow.f64 (expm1.f64 x) 1)
(+.f64 -1 (exp.f64 x))
(expm1.f64 x)
(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)
(+.f64 -1 (exp.f64 x))
(expm1.f64 x)
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3)
(+.f64 -1 (exp.f64 x))
(expm1.f64 x)
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2)
(+.f64 -1 (exp.f64 x))
(expm1.f64 x)
(sqrt.f64 (pow.f64 (expm1.f64 x) 2))
(+.f64 -1 (exp.f64 x))
(expm1.f64 x)
(log.f64 (exp.f64 (expm1.f64 x)))
(+.f64 -1 (exp.f64 x))
(expm1.f64 x)
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 x))))
(+.f64 -1 (exp.f64 x))
(expm1.f64 x)
(cbrt.f64 (pow.f64 (expm1.f64 x) 3))
(+.f64 -1 (exp.f64 x))
(expm1.f64 x)
(expm1.f64 x)
(+.f64 -1 (exp.f64 x))
(log1p.f64 (expm1.f64 (expm1.f64 x)))
(+.f64 -1 (exp.f64 x))
(expm1.f64 x)
(exp.f64 (log.f64 (expm1.f64 x)))
(+.f64 -1 (exp.f64 x))
(expm1.f64 x)
(exp.f64 (*.f64 (log.f64 (expm1.f64 x)) 1))
(+.f64 -1 (exp.f64 x))
(expm1.f64 x)
(fma.f64 1 (exp.f64 x) -1)
(+.f64 -1 (exp.f64 x))
(expm1.f64 x)
(fma.f64 (exp.f64 x) 1 -1)
(+.f64 -1 (exp.f64 x))
(expm1.f64 x)
(fma.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2) -1)
(+.f64 -1 (exp.f64 x))
(expm1.f64 x)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) -1)
(+.f64 -1 (exp.f64 x))
(expm1.f64 x)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (*.f64 (cbrt.f64 (exp.f64 x)) 1) -1)
(+.f64 -1 (exp.f64 x))
(expm1.f64 x)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -1)
(+.f64 -1 (exp.f64 x))
(expm1.f64 x)
(fma.f64 (sqrt.f64 (exp.f64 x)) (*.f64 (sqrt.f64 (exp.f64 x)) 1) -1)
(+.f64 -1 (exp.f64 x))
(expm1.f64 x)
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (expm1.f64 x)))) 1)
(expm1.f64 (log1p.f64 (/.f64 -1 (expm1.f64 x))))
(*.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 (/.f64 -1 (expm1.f64 x)) 1)
(/.f64 -1 (expm1.f64 x))
(*.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x))) (pow.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x))) 2))
(/.f64 -1 (expm1.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x))) 2) (cbrt.f64 (/.f64 -1 (expm1.f64 x))))
(/.f64 -1 (expm1.f64 x))
(*.f64 (sqrt.f64 (/.f64 -1 (expm1.f64 x))) (sqrt.f64 (/.f64 -1 (expm1.f64 x))))
(/.f64 -1 (expm1.f64 x))
(*.f64 (/.f64 1 (expm1.f64 x)) -1)
(/.f64 -1 (expm1.f64 x))
(*.f64 (/.f64 -1 (+.f64 (pow.f64 (exp.f64 x) 3) -1)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x)))) (+.f64 -1 (pow.f64 (exp.f64 x) 3)))
(/.f64 (-.f64 (-.f64 -1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)) (+.f64 -1 (pow.f64 (exp.f64 x) 3)))
(/.f64 (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))) (-.f64 1 (pow.f64 (exp.f64 x) 3)))
(*.f64 (/.f64 -1 (+.f64 (pow.f64 (exp.f64 x) 2) -1)) (+.f64 1 (exp.f64 x)))
(/.f64 (+.f64 -1 (neg.f64 (exp.f64 x))) (+.f64 -1 (pow.f64 (exp.f64 x) 2)))
(/.f64 (-.f64 -1 (exp.f64 x)) (+.f64 -1 (pow.f64 (exp.f64 x) 2)))
(pow.f64 (/.f64 -1 (expm1.f64 x)) 1)
(/.f64 -1 (expm1.f64 x))
(pow.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x))) 3)
(/.f64 -1 (expm1.f64 x))
(pow.f64 (pow.f64 (/.f64 -1 (expm1.f64 x)) 3) 1/3)
(/.f64 -1 (expm1.f64 x))
(pow.f64 (sqrt.f64 (/.f64 -1 (expm1.f64 x))) 2)
(/.f64 -1 (expm1.f64 x))
(pow.f64 (neg.f64 (expm1.f64 x)) -1)
(/.f64 -1 (expm1.f64 x))
(pow.f64 (*.f64 (expm1.f64 x) -1) -1)
(/.f64 -1 (expm1.f64 x))
(neg.f64 (/.f64 1 (expm1.f64 x)))
(/.f64 -1 (expm1.f64 x))
(sqrt.f64 (/.f64 1 (pow.f64 (expm1.f64 x) 2)))
(log.f64 (exp.f64 (/.f64 -1 (expm1.f64 x))))
(/.f64 -1 (expm1.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (expm1.f64 x)))))
(/.f64 -1 (expm1.f64 x))
(cbrt.f64 (pow.f64 (/.f64 -1 (expm1.f64 x)) 3))
(/.f64 -1 (expm1.f64 x))
(expm1.f64 (log1p.f64 (/.f64 -1 (expm1.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 -1 (expm1.f64 x))))
(/.f64 -1 (expm1.f64 x))
(exp.f64 (log.f64 (/.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))

eval127.0ms (3.8%)

Compiler

Compiled 4795 to 3601 computations (24.9% saved)

prune47.0ms (1.4%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New3221323
Fresh000
Picked044
Done011
Total3226328
Accuracy
100.0%
Counts
328 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓66.7%
(/.f64 1 x)
✓37.7%
(/.f64 -1 (-.f64 (exp.f64 (neg.f64 x)) 1))
✓100.0%
(/.f64 -1 (expm1.f64 (neg.f64 x)))
✓66.2%
(+.f64 1/2 (/.f64 1 x))
✓66.3%
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
▶3.1%
1/2
Compiler

Compiled 36 to 30 computations (16.7% saved)

localize13.0ms (0.4%)

Compiler

Compiled 3 to 3 computations (0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
Operation const, time spent: 0.0ms, 0.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune4.0ms (0.1%)

Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done055
Total066
Accuracy
100.0%
Counts
6 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓66.7%
(/.f64 1 x)
✓37.7%
(/.f64 -1 (-.f64 (exp.f64 (neg.f64 x)) 1))
✓100.0%
(/.f64 -1 (expm1.f64 (neg.f64 x)))
✓66.2%
(+.f64 1/2 (/.f64 1 x))
✓66.3%
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
✓3.1%
1/2
Compiler

Compiled 74 to 58 computations (21.6% saved)

regimes9.0ms (0.3%)

Counts
7 → 1
Calls
Call 1
Inputs
1/2
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 -1 (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.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)

regimes5.0ms (0.1%)

Counts
4 → 1
Calls
Call 1
Inputs
1/2
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
Outputs
(/.f64 1 x)
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
66.7%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
1/2
Outputs
1/2
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
3.1%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify3.0ms (0.1%)

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
01329
12029
22229
32329
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 1 x)
1/2
Outputs
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 1 x)
1/2
Compiler

Compiled 12 to 10 computations (16.7% saved)

soundness121.0ms (3.6%)

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%)

preprocess40.0ms (1.2%)

Compiler

Compiled 50 to 38 computations (24% saved)

Profiling

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