expq2 (section 3.11)

Time bar (total: 3.0s)

analyze75.0ms (2.5%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
50%50%50%0%0%0%0%3
50%50%50%0%0%0%0%4
50%50%50%0%0%0%0%5
53.1%53.1%46.9%0%0%0%0%6
54.7%54.7%45.3%0%0%0%0%7
55.5%55.4%44.5%0%0%0%0%8
55.9%55.8%44.1%0%0%0%0%9
56.1%56%43.9%0%0%0%0%10
56.2%56.1%43.8%0%0%0%0%11
56.2%56.2%43.8%0%0%0%0%12
Compiler

Compiled 9 to 6 computations (33.3% saved)

sample1.3s (43.3%)

Results
573.0ms2694×body1024valid
290.0ms3915×body256valid
173.0ms1340×body512valid
136.0ms2696×body256unsamplable
69.0ms307×body2048valid
Bogosity

preprocess88.0ms (3%)

Algorithm
1×egg-herbie
Rules
1174×associate-/r*
1100×distribute-lft-in
1078×fma-def
1070×associate-/l*
1036×distribute-rgt-in
Problems
164×(-.f64 (exp.f64 x) 1)
90×No Errors
2×(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
01471
12571
23371
34471
47964
522362
6117662
7495460
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))
Outputs
(/.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 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 (exp.f64 (neg.f64 x)) (expm1.f64 (neg.f64 x)))
(/.f64 1 (fma.f64 (exp.f64 x) -1 1))
(/.f64 1 (-.f64 1 (exp.f64 x)))
(/.f64 1 (neg.f64 (expm1.f64 x)))
Compiler

Compiled 25 to 14 computations (44% saved)

eval0.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.2%
(/.f64 (exp.f64 x) (expm1.f64 x))
▶99.2%
(/.f64 (exp.f64 x) (expm1.f64 x))
Compiler

Compiled 12 to 8 computations (33.3% saved)

localize22.0ms (0.8%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓99.2%
(/.f64 (exp.f64 x) (expm1.f64 x))
Compiler

Compiled 12 to 5 computations (58.3% saved)

series2.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/.f64 (exp.f64 x) (expm1.f64 x))
1.0ms
x
@-inf
(/.f64 (exp.f64 x) (expm1.f64 x))
0.0ms
x
@0
(/.f64 (exp.f64 x) (expm1.f64 x))

rewrite106.0ms (3.6%)

Algorithm
1×batch-egg-rewrite
Rules
604×unpow-prod-down
430×log-prod
420×cbrt-prod
392×log1p-expm1-u
391×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
18521
2106421
Stop Event
1×node limit
Counts
1 → 62
Calls
Call 1
Inputs
(/.f64 (exp.f64 x) (expm1.f64 x))
Outputs
(+.f64 0 (/.f64 (exp.f64 x) (expm1.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))
(-.f64 (+.f64 1 (/.f64 (exp.f64 x) (expm1.f64 x))) 1)
(*.f64 (exp.f64 x) (/.f64 1 (expm1.f64 x)))
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1)
(*.f64 1 (/.f64 (exp.f64 x) (expm1.f64 x)))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2)) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (*.f64 (cbrt.f64 (exp.f64 x)) (/.f64 1 (expm1.f64 x))))
(*.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1/2) (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1/2))
(*.f64 (sqrt.f64 (exp.f64 x)) (*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 (expm1.f64 x))))
(*.f64 (neg.f64 (exp.f64 x)) (/.f64 1 (neg.f64 (expm1.f64 x))))
(*.f64 (/.f64 1 (expm1.f64 x)) (exp.f64 x))
(*.f64 (/.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 (neg.f64 x)) -1))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (/.f64 (exp.f64 x) (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 (cbrt.f64 (exp.f64 x)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 x)) (expm1.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (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 (exp.f64 x) (expm1.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2) (exp.f64 x)) 1/3) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 5/2) 1/3) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (exp.f64 (neg.f64 x)))) 2) -1) (cbrt.f64 (/.f64 (exp.f64 x) (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 (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 (cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 2) (pow.f64 (exp.f64 x) 2))) -1) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(*.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)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) -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))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2) (exp.f64 x))) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 5/2)) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1/2)))
(pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2) 1/2)
(pow.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3) 1/3)
(pow.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1/2) 2)
(pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1)
(pow.f64 (E.f64) (-.f64 x (log.f64 (expm1.f64 x))))
(pow.f64 (/.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 1) -1)
(pow.f64 (exp.f64 (cbrt.f64 (pow.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))))
(sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2))
(log.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3))
(cbrt.f64 (/.f64 (pow.f64 (neg.f64 (exp.f64 x)) 3) (pow.f64 (neg.f64 (expm1.f64 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
(exp.f64 (*.f64 (*.f64 1/3 (-.f64 x (log.f64 (expm1.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (-.f64 x (log.f64 (expm1.f64 x)))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 x (log.f64 (expm1.f64 x)))) 2))
(exp.f64 (*.f64 (-.f64 (log.f64 (expm1.f64 x)) x) -1))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))

simplify68.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
862×times-frac
646×div-sub
548×associate-/l*
522×fma-def
520×exp-prod
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02132324
15212228
214102182
355701916
Stop Event
1×node limit
Counts
74 → 103
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 (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 (exp.f64 x) (expm1.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))
(-.f64 (+.f64 1 (/.f64 (exp.f64 x) (expm1.f64 x))) 1)
(*.f64 (exp.f64 x) (/.f64 1 (expm1.f64 x)))
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1)
(*.f64 1 (/.f64 (exp.f64 x) (expm1.f64 x)))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2)) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (*.f64 (cbrt.f64 (exp.f64 x)) (/.f64 1 (expm1.f64 x))))
(*.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1/2) (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1/2))
(*.f64 (sqrt.f64 (exp.f64 x)) (*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 (expm1.f64 x))))
(*.f64 (neg.f64 (exp.f64 x)) (/.f64 1 (neg.f64 (expm1.f64 x))))
(*.f64 (/.f64 1 (expm1.f64 x)) (exp.f64 x))
(*.f64 (/.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 (neg.f64 x)) -1))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (/.f64 (exp.f64 x) (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 (cbrt.f64 (exp.f64 x)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 x)) (expm1.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (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 (exp.f64 x) (expm1.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2) (exp.f64 x)) 1/3) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 5/2) 1/3) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (exp.f64 (neg.f64 x)))) 2) -1) (cbrt.f64 (/.f64 (exp.f64 x) (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 (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 (cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 2) (pow.f64 (exp.f64 x) 2))) -1) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(*.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)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) -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))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2) (exp.f64 x))) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 5/2)) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1/2)))
(pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2) 1/2)
(pow.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3) 1/3)
(pow.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1/2) 2)
(pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1)
(pow.f64 (E.f64) (-.f64 x (log.f64 (expm1.f64 x))))
(pow.f64 (/.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 1) -1)
(pow.f64 (exp.f64 (cbrt.f64 (pow.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))))
(sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2))
(log.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3))
(cbrt.f64 (/.f64 (pow.f64 (neg.f64 (exp.f64 x)) 3) (pow.f64 (neg.f64 (expm1.f64 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
(exp.f64 (*.f64 (*.f64 1/3 (-.f64 x (log.f64 (expm1.f64 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (-.f64 x (log.f64 (expm1.f64 x)))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 x (log.f64 (expm1.f64 x)))) 2))
(exp.f64 (*.f64 (-.f64 (log.f64 (expm1.f64 x)) x) -1))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
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 (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 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 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 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 0 (/.f64 (exp.f64 x) (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (expm1.f64 (neg.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(-.f64 (+.f64 1 (/.f64 (exp.f64 x) (expm1.f64 x))) 1)
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (exp.f64 x) (/.f64 1 (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1)
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 1 (/.f64 (exp.f64 x) (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2)))
(*.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 (neg.f64 x)))) (cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2)) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2)))
(*.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 (neg.f64 x)))) (cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -2)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (*.f64 (cbrt.f64 (exp.f64 x)) (/.f64 1 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1/2) (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1/2))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.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 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (neg.f64 (exp.f64 x)) (/.f64 1 (neg.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (/.f64 1 (expm1.f64 x)) (exp.f64 x))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (/.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 (neg.f64 x)) -1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.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) (/.f64 (sqrt.f64 (expm1.f64 x)) (exp.f64 x)))
(*.f64 (/.f64 (pow.f64 (expm1.f64 x) -1/2) (sqrt.f64 (expm1.f64 x))) (exp.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 x)) (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (sqrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 (exp.f64 x)) (sqrt.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.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 -1 (expm1.f64 (neg.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 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (pow.f64 1 1/3) (/.f64 (exp.f64 x) (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 3))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3/2)) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3/2)))
(pow.f64 (pow.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -3/2) 1/6) 4)
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2) (exp.f64 x)) 1/3) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 (*.f64 (exp.f64 x) (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2))) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(/.f64 (cbrt.f64 (*.f64 (exp.f64 x) (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2))) (cbrt.f64 (expm1.f64 x)))
(/.f64 (cbrt.f64 (*.f64 (exp.f64 x) (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -2))) (cbrt.f64 (expm1.f64 x)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 4) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 8)) (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 (neg.f64 x)))) 8)) (cbrt.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 (neg.f64 x))))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 5/2) 1/3) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 5/2)) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (expm1.f64 (neg.f64 x))) 5/2)) (cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (exp.f64 (neg.f64 x)))) 2) -1) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (exp.f64 (neg.f64 x)))) 2)))
(/.f64 (*.f64 1 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 1 (exp.f64 (neg.f64 x)))) 2))
(/.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (exp.f64 (neg.f64 x)))) 2))
(/.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 (neg.f64 x)))) (pow.f64 (cbrt.f64 (neg.f64 (expm1.f64 (neg.f64 x)))) 2))
(*.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 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.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 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)) 1) (pow.f64 (exp.f64 x) -1/2))
(/.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 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 2) (pow.f64 (exp.f64 x) 2))) -1) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (/.f64 1 (cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 2) (pow.f64 (exp.f64 x) 2)))))
(/.f64 (*.f64 1 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) (cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 2) (pow.f64 (exp.f64 x) 2))))
(/.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 2) (exp.f64 (*.f64 2 x)))))
(/.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 (neg.f64 x)))) (cbrt.f64 (/.f64 1 (pow.f64 (neg.f64 (expm1.f64 (neg.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 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.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 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 (exp.f64 x))) -1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.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))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3/2)) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3/2)))
(pow.f64 (pow.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -3/2) 1/6) 4)
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2) (exp.f64 x))) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 (*.f64 (exp.f64 x) (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2))) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(/.f64 (cbrt.f64 (*.f64 (exp.f64 x) (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2))) (cbrt.f64 (expm1.f64 x)))
(/.f64 (cbrt.f64 (*.f64 (exp.f64 x) (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -2))) (cbrt.f64 (expm1.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 4) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 8)) (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 (neg.f64 x)))) 8)) (cbrt.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 (neg.f64 x))))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 5/2)) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (expm1.f64 (neg.f64 x))) 5/2)) (cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -1/2)))
(pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1)
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 3)
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(pow.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2) 1/2)
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(pow.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3) 1/3)
(cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3))
(cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -3))
(pow.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1/2) 2)
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1)
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(pow.f64 (E.f64) (-.f64 x (log.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(pow.f64 (/.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 1) -1)
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.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)))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(neg.f64 (/.f64 (exp.f64 x) (neg.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(log.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3))
(cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -3))
(cbrt.f64 (/.f64 (pow.f64 (neg.f64 (exp.f64 x)) 3) (pow.f64 (neg.f64 (expm1.f64 x)) 3)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(exp.f64 (*.f64 (*.f64 1/3 (-.f64 x (log.f64 (expm1.f64 x)))) 3))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(exp.f64 (*.f64 (*.f64 3 (-.f64 x (log.f64 (expm1.f64 x)))) 1/3))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 x (log.f64 (expm1.f64 x)))) 2))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(exp.f64 (*.f64 (-.f64 (log.f64 (expm1.f64 x)) x) -1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))

eval27.0ms (0.9%)

Compiler

Compiled 1310 to 616 computations (53% saved)

prune18.0ms (0.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New985103
Fresh000
Picked011
Done000
Total986104
Accuracy
100.0%
Counts
104 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.2%
(/.f64 (exp.f64 x) (expm1.f64 x))
▶65.0%
(/.f64 1 x)
▶100.0%
(/.f64 -1 (expm1.f64 (neg.f64 x)))
▶65.0%
(+.f64 (/.f64 1 x) 1/2)
▶65.1%
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
▶29.8%
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
✓99.2%
(/.f64 (exp.f64 x) (expm1.f64 x))
▶65.0%
(/.f64 1 x)
▶100.0%
(/.f64 -1 (expm1.f64 (neg.f64 x)))
▶65.0%
(+.f64 (/.f64 1 x) 1/2)
▶65.1%
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
▶29.8%
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
Compiler

Compiled 144 to 112 computations (22.2% saved)

localize83.0ms (2.8%)

Localize:

Found 6 expressions with local error:

NewAccuracyProgram
✓99.6%
(-.f64 x (log.f64 (expm1.f64 x)))
✓99.2%
(log.f64 (expm1.f64 x))
✓97.3%
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
✓100.0%
(+.f64 (*.f64 1/12 x) (/.f64 1 x))
✓99.8%
(*.f64 1/12 x)
✓100.0%
(/.f64 -1 (expm1.f64 (neg.f64 x)))
Compiler

Compiled 73 to 41 computations (43.8% saved)

series48.0ms (1.6%)

Counts
6 → 47
Calls

18 calls:

TimeVariablePointExpression
26.0ms
x
@inf
(log.f64 (expm1.f64 x))
17.0ms
x
@-inf
(log.f64 (expm1.f64 x))
1.0ms
x
@0
(+.f64 (*.f64 1/12 x) (/.f64 1 x))
1.0ms
x
@inf
(/.f64 -1 (expm1.f64 (neg.f64 x)))
0.0ms
x
@0
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))

rewrite108.0ms (3.6%)

Algorithm
1×batch-egg-rewrite
Rules
1068×log1p-expm1-u
1066×expm1-log1p-u
962×fma-def
364×expm1-udef
364×log1p-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019103
125399
2352499
Stop Event
1×node limit
Counts
6 → 285
Calls
Call 1
Inputs
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 1/12 x)
(+.f64 (*.f64 1/12 x) (/.f64 1 x))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
(log.f64 (expm1.f64 x))
(-.f64 x (log.f64 (expm1.f64 x)))
Outputs
(-.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 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 (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)
(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))))
(exp.f64 (log.f64 (/.f64 -1 (expm1.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 -1 (expm1.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 -1 (expm1.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/12))) 1)
(pow.f64 (*.f64 x 1/12) 1)
(pow.f64 (cbrt.f64 (*.f64 x 1/12)) 3)
(pow.f64 (pow.f64 (*.f64 x 1/12) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x 1/12)) 2)
(sqrt.f64 (pow.f64 (*.f64 x 1/12) 2))
(log.f64 (exp.f64 (*.f64 x 1/12)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/12))))
(cbrt.f64 (pow.f64 (*.f64 x 1/12) 3))
(expm1.f64 (log1p.f64 (*.f64 x 1/12)))
(exp.f64 (log.f64 (*.f64 x 1/12)))
(exp.f64 (*.f64 (log.f64 (*.f64 x 1/12)) 1))
(log1p.f64 (expm1.f64 (*.f64 x 1/12)))
(-.f64 (*.f64 x 1/12) (/.f64 -1 x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/12 (/.f64 -1 x)))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 x 1/12) 2) (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 x 1/12 (/.f64 -1 x)))
(*.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))) (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))) 2) (cbrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))))
(*.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 2) (/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x))))
(*.f64 (sqrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))) (sqrt.f64 (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 x 1/12) x))))
(*.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 1)
(*.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 x 1/12) x)) (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3))))
(/.f64 1 (/.f64 (fma.f64 x 1/12 (/.f64 -1 x)) (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 2)))
(/.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 -1 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 x 1/12) x)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (-.f64 (pow.f64 (*.f64 x 1/12) 2) (/.f64 (*.f64 x 1/12) 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 x 1/12) x))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 2)) (neg.f64 (fma.f64 x 1/12 (/.f64 -1 x))))
(/.f64 (-.f64 (pow.f64 (*.f64 x 1/12) 3) (pow.f64 x -3)) (fma.f64 (pow.f64 x 2) 1/144 (+.f64 (pow.f64 x -2) (/.f64 (*.f64 x 1/12) x))))
(/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (*.f64 x 1/12) 2)) (-.f64 (/.f64 -1 x) (*.f64 x 1/12)))
(pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))) 3)
(pow.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))) 2)
(pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 1)
(sqrt.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 2))
(log.f64 (exp.f64 (fma.f64 x 1/12 (/.f64 -1 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/12 (/.f64 -1 x)))))
(log.f64 (/.f64 (exp.f64 (*.f64 x 1/12)) (exp.f64 (/.f64 -1 x))))
(cbrt.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 1/12 (/.f64 -1 x))))
(exp.f64 (log.f64 (fma.f64 x 1/12 (/.f64 -1 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/12 (/.f64 -1 x))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x 1/12 (/.f64 -1 x))))
(fma.f64 -1 (/.f64 -1 x) (*.f64 x 1/12))
(fma.f64 x 1/12 (/.f64 -1 x))
(fma.f64 x 1/12 (neg.f64 (/.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 1/12 x (/.f64 -1 x))
(fma.f64 1/12 x (neg.f64 (/.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 (*.f64 x 1/12) 1 (/.f64 -1 x))
(fma.f64 (*.f64 x 1/12) 1 (neg.f64 (/.f64 -1 x)))
(fma.f64 (*.f64 x 1/12) 1 (*.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 (*.f64 x 1/12) 1 (*.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 1 (*.f64 x 1/12) (/.f64 -1 x))
(fma.f64 1 (*.f64 x 1/12) (neg.f64 (/.f64 -1 x)))
(fma.f64 1 (*.f64 x 1/12) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 1 (*.f64 x 1/12) (*.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 1 (/.f64 -1 x) (*.f64 x 1/12))
(fma.f64 1 (fma.f64 x 1/12 (/.f64 -1 x)) (fma.f64 (neg.f64 (/.f64 -1 x)) 1 (/.f64 -1 x)))
(fma.f64 1 (fma.f64 x 1/12 (/.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 x 1/12 (/.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 x 1/12))
(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) (neg.f64 (/.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 (cbrt.f64 (*.f64 x 1/12)) (pow.f64 (cbrt.f64 (*.f64 x 1/12)) 2) (/.f64 -1 x))
(fma.f64 (cbrt.f64 (*.f64 x 1/12)) (pow.f64 (cbrt.f64 (*.f64 x 1/12)) 2) (neg.f64 (/.f64 -1 x)))
(fma.f64 (cbrt.f64 (*.f64 x 1/12)) (pow.f64 (cbrt.f64 (*.f64 x 1/12)) 2) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 (cbrt.f64 (*.f64 x 1/12)) (pow.f64 (cbrt.f64 (*.f64 x 1/12)) 2) (*.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/12)) 2) (cbrt.f64 (*.f64 x 1/12)) (/.f64 -1 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/12)) 2) (cbrt.f64 (*.f64 x 1/12)) (neg.f64 (/.f64 -1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/12)) 2) (cbrt.f64 (*.f64 x 1/12)) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/12)) 2) (cbrt.f64 (*.f64 x 1/12)) (*.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))) (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))) 2) (fma.f64 (neg.f64 (/.f64 -1 x)) 1 (/.f64 -1 x)))
(fma.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))) (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.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 x 1/12 (/.f64 -1 x))) (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.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 x 1/12 (/.f64 -1 x))) 2) (cbrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))) (fma.f64 (neg.f64 (/.f64 -1 x)) 1 (/.f64 -1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))) 2) (cbrt.f64 (fma.f64 x 1/12 (/.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 x 1/12 (/.f64 -1 x))) 2) (cbrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 -1 x)))
(fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) (*.f64 x 1/12))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (*.f64 x 1/12))
(fma.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 2) (/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x))) (fma.f64 (neg.f64 (/.f64 -1 x)) 1 (/.f64 -1 x)))
(fma.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 2) (/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 -1 x)))
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(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) 2) (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (expm1.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2) (log.f64 (expm1.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) 2) (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (sqrt.f64 (log.f64 (expm1.f64 x))) (log.f64 (expm1.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2) (neg.f64 (cbrt.f64 (log.f64 (expm1.f64 x)))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (log.f64 (expm1.f64 x))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 (log.f64 (expm1.f64 x))) 1))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (neg.f64 (log.f64 (expm1.f64 x))))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (*.f64 (neg.f64 (log.f64 (expm1.f64 x))) 1))
(fma.f64 (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) (fma.f64 (neg.f64 (log.f64 (expm1.f64 x))) 1 (log.f64 (expm1.f64 x))))
(fma.f64 (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (expm1.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2) (log.f64 (expm1.f64 x))))
(fma.f64 (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (sqrt.f64 (log.f64 (expm1.f64 x))) (log.f64 (expm1.f64 x))))
(fma.f64 (sqrt.f64 (log.f64 (expm1.f64 x))) (neg.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) x)
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 (expm1.f64 x)) 3)) (/.f64 1 (fma.f64 (log.f64 (expm1.f64 x)) (+.f64 x (log.f64 (expm1.f64 x))) (pow.f64 x 2))) (fma.f64 (neg.f64 (log.f64 (expm1.f64 x))) 1 (log.f64 (expm1.f64 x))))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 (expm1.f64 x)) 3)) (/.f64 1 (fma.f64 (log.f64 (expm1.f64 x)) (+.f64 x (log.f64 (expm1.f64 x))) (pow.f64 x 2))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (expm1.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2) (log.f64 (expm1.f64 x))))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 (expm1.f64 x)) 3)) (/.f64 1 (fma.f64 (log.f64 (expm1.f64 x)) (+.f64 x (log.f64 (expm1.f64 x))) (pow.f64 x 2))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (sqrt.f64 (log.f64 (expm1.f64 x))) (log.f64 (expm1.f64 x))))
(fma.f64 (-.f64 (pow.f64 x 2) (pow.f64 (log.f64 (expm1.f64 x)) 2)) (/.f64 1 (+.f64 x (log.f64 (expm1.f64 x)))) (fma.f64 (neg.f64 (log.f64 (expm1.f64 x))) 1 (log.f64 (expm1.f64 x))))
(fma.f64 (-.f64 (pow.f64 x 2) (pow.f64 (log.f64 (expm1.f64 x)) 2)) (/.f64 1 (+.f64 x (log.f64 (expm1.f64 x)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (expm1.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2) (log.f64 (expm1.f64 x))))
(fma.f64 (-.f64 (pow.f64 x 2) (pow.f64 (log.f64 (expm1.f64 x)) 2)) (/.f64 1 (+.f64 x (log.f64 (expm1.f64 x)))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (sqrt.f64 (log.f64 (expm1.f64 x))) (log.f64 (expm1.f64 x))))
(fma.f64 (neg.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (sqrt.f64 (log.f64 (expm1.f64 x))) x)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (log.f64 (expm1.f64 x)))) (cbrt.f64 (neg.f64 (log.f64 (expm1.f64 x))))) (cbrt.f64 (neg.f64 (log.f64 (expm1.f64 x)))) x)
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 (expm1.f64 x)))) (sqrt.f64 (neg.f64 (log.f64 (expm1.f64 x)))) x)
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 (expm1.f64 x)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 (expm1.f64 x)))) (fma.f64 (neg.f64 (log.f64 (expm1.f64 x))) 1 (log.f64 (expm1.f64 x))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 (expm1.f64 x)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 (expm1.f64 x)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (expm1.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2) (log.f64 (expm1.f64 x))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 (expm1.f64 x)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 (expm1.f64 x)))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (sqrt.f64 (log.f64 (expm1.f64 x))) (log.f64 (expm1.f64 x))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (log.f64 (expm1.f64 x))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (neg.f64 (log.f64 (expm1.f64 x))) 1))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (log.f64 (expm1.f64 x))))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 (log.f64 (expm1.f64 x))) 1))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2)) (cbrt.f64 (log.f64 (expm1.f64 x))) x)
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (log.f64 (expm1.f64 x))))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (neg.f64 (log.f64 (expm1.f64 x))) 1))
(fma.f64 (*.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (log.f64 (expm1.f64 x))))
(fma.f64 (*.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 (log.f64 (expm1.f64 x))) 1))

simplify133.0ms (4.5%)

Algorithm
1×egg-herbie
Rules
944×fma-neg
762×log-prod
452×sqr-pow
438×exp-prod
394×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
055010085
112379518
242049026
Stop Event
1×node limit
Counts
332 → 383
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 1/12 x)
(*.f64 1/12 x)
(exp.f64 (neg.f64 (log.f64 x)))
(+.f64 (exp.f64 (neg.f64 (log.f64 x))) (*.f64 1/2 (*.f64 x (exp.f64 (neg.f64 (log.f64 x))))))
(+.f64 (exp.f64 (neg.f64 (log.f64 x))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 x 2) (exp.f64 (neg.f64 (log.f64 x))))) (*.f64 1/2 (*.f64 x (exp.f64 (neg.f64 (log.f64 x)))))))
(+.f64 (exp.f64 (neg.f64 (log.f64 x))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 x 4) (exp.f64 (neg.f64 (log.f64 x))))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 x 2) (exp.f64 (neg.f64 (log.f64 x))))) (*.f64 1/2 (*.f64 x (exp.f64 (neg.f64 (log.f64 x))))))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (*.f64 -1 x))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (*.f64 -1 x))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (*.f64 -1 x))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (*.f64 -1 x))))
(log.f64 x)
(+.f64 (log.f64 x) (*.f64 1/2 x))
(+.f64 (log.f64 x) (+.f64 (*.f64 1/24 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (log.f64 x) (+.f64 (*.f64 -1/2880 (pow.f64 x 4)) (+.f64 (*.f64 1/24 (pow.f64 x 2)) (*.f64 1/2 x))))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (-.f64 (exp.f64 x) 1))
(*.f64 -1 (log.f64 x))
(+.f64 (*.f64 -1 (log.f64 x)) (*.f64 1/2 x))
(+.f64 (*.f64 -1 (log.f64 x)) (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (*.f64 -1 (log.f64 x)) (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 1/2880 (pow.f64 x 4)) (*.f64 1/2 x))))
x
(+.f64 x (*.f64 -1 (log.f64 (-.f64 (exp.f64 x) 1))))
(+.f64 x (*.f64 -1 (log.f64 (-.f64 (exp.f64 x) 1))))
(+.f64 x (*.f64 -1 (log.f64 (-.f64 (exp.f64 x) 1))))
x
(+.f64 x (*.f64 -1 (log.f64 (-.f64 (exp.f64 x) 1))))
(+.f64 x (*.f64 -1 (log.f64 (-.f64 (exp.f64 x) 1))))
(+.f64 x (*.f64 -1 (log.f64 (-.f64 (exp.f64 x) 1))))
(-.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 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 (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)
(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))))
(exp.f64 (log.f64 (/.f64 -1 (expm1.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 -1 (expm1.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 -1 (expm1.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/12))) 1)
(pow.f64 (*.f64 x 1/12) 1)
(pow.f64 (cbrt.f64 (*.f64 x 1/12)) 3)
(pow.f64 (pow.f64 (*.f64 x 1/12) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x 1/12)) 2)
(sqrt.f64 (pow.f64 (*.f64 x 1/12) 2))
(log.f64 (exp.f64 (*.f64 x 1/12)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/12))))
(cbrt.f64 (pow.f64 (*.f64 x 1/12) 3))
(expm1.f64 (log1p.f64 (*.f64 x 1/12)))
(exp.f64 (log.f64 (*.f64 x 1/12)))
(exp.f64 (*.f64 (log.f64 (*.f64 x 1/12)) 1))
(log1p.f64 (expm1.f64 (*.f64 x 1/12)))
(-.f64 (*.f64 x 1/12) (/.f64 -1 x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/12 (/.f64 -1 x)))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 x 1/12) 2) (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 x 1/12 (/.f64 -1 x)))
(*.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))) (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))) 2) (cbrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))))
(*.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 2) (/.f64 1 (fma.f64 x 1/12 (/.f64 -1 x))))
(*.f64 (sqrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))) (sqrt.f64 (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 x 1/12) x))))
(*.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 1)
(*.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 x 1/12) x)) (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3))))
(/.f64 1 (/.f64 (fma.f64 x 1/12 (/.f64 -1 x)) (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 2)))
(/.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 -1 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 x 1/12) x)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (-.f64 (pow.f64 (*.f64 x 1/12) 2) (/.f64 (*.f64 x 1/12) 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 x 1/12) x))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 2)) (neg.f64 (fma.f64 x 1/12 (/.f64 -1 x))))
(/.f64 (-.f64 (pow.f64 (*.f64 x 1/12) 3) (pow.f64 x -3)) (fma.f64 (pow.f64 x 2) 1/144 (+.f64 (pow.f64 x -2) (/.f64 (*.f64 x 1/12) x))))
(/.f64 (-.f64 (pow.f64 x -2) (pow.f64 (*.f64 x 1/12) 2)) (-.f64 (/.f64 -1 x) (*.f64 x 1/12)))
(pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))) 3)
(pow.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 1/12 (/.f64 -1 x))) 2)
(pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 1)
(sqrt.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 2))
(log.f64 (exp.f64 (fma.f64 x 1/12 (/.f64 -1 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/12 (/.f64 -1 x)))))
(log.f64 (/.f64 (exp.f64 (*.f64 x 1/12)) (exp.f64 (/.f64 -1 x))))
(cbrt.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 -1 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 1/12 (/.f64 -1 x))))
(exp.f64 (log.f64 (fma.f64 x 1/12 (/.f64 -1 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/12 (/.f64 -1 x))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x 1/12 (/.f64 -1 x))))
(fma.f64 -1 (/.f64 -1 x) (*.f64 x 1/12))
(fma.f64 x 1/12 (/.f64 -1 x))
(fma.f64 x 1/12 (neg.f64 (/.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 1/12 x (/.f64 -1 x))
(fma.f64 1/12 x (neg.f64 (/.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 (*.f64 x 1/12) 1 (/.f64 -1 x))
(fma.f64 (*.f64 x 1/12) 1 (neg.f64 (/.f64 -1 x)))
(fma.f64 (*.f64 x 1/12) 1 (*.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 (*.f64 x 1/12) 1 (*.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 1 (*.f64 x 1/12) (/.f64 -1 x))
(fma.f64 1 (*.f64 x 1/12) (neg.f64 (/.f64 -1 x)))
(fma.f64 1 (*.f64 x 1/12) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x))))
(fma.f64 1 (*.f64 x 1/12) (*.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)))
(fma.f64 1 (/.f64 -1 x) (*.f64 x 1/12))
(fma.f64 1 (fma.f64 x 1/12 (/.f64 -1 x)) (fma.f64 (neg.f64 (/.f64 -1 x)) 1 (/.f64 -1 x)))
(fma.f64 1 (fma.f64 x 1/12 (/.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 x 1/12 (/.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 x 1/12))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/12) (/.f64 -1 x))
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(fma.f64 1 (-.f64 x (log.f64 (expm1.f64 x))) (fma.f64 (neg.f64 (log.f64 (expm1.f64 x))) 1 (log.f64 (expm1.f64 x))))
(fma.f64 1 (-.f64 x (log.f64 (expm1.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (expm1.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2) (log.f64 (expm1.f64 x))))
(fma.f64 1 (-.f64 x (log.f64 (expm1.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (sqrt.f64 (log.f64 (expm1.f64 x))) (log.f64 (expm1.f64 x))))
(fma.f64 1 (neg.f64 (log.f64 (expm1.f64 x))) x)
(fma.f64 (-.f64 x (log.f64 (expm1.f64 x))) 1 (fma.f64 (neg.f64 (log.f64 (expm1.f64 x))) 1 (log.f64 (expm1.f64 x))))
(fma.f64 (-.f64 x (log.f64 (expm1.f64 x))) 1 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (expm1.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2) (log.f64 (expm1.f64 x))))
(fma.f64 (-.f64 x (log.f64 (expm1.f64 x))) 1 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (sqrt.f64 (log.f64 (expm1.f64 x))) (log.f64 (expm1.f64 x))))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (log.f64 (expm1.f64 x))))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (neg.f64 (log.f64 (expm1.f64 x))) 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (log.f64 (expm1.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (neg.f64 (log.f64 (expm1.f64 x))) 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (neg.f64 (log.f64 (expm1.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (*.f64 (neg.f64 (log.f64 (expm1.f64 x))) 1))
(fma.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) 2) (fma.f64 (neg.f64 (log.f64 (expm1.f64 x))) 1 (log.f64 (expm1.f64 x))))
(fma.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) 2) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (expm1.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2) (log.f64 (expm1.f64 x))))
(fma.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) 2) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (sqrt.f64 (log.f64 (expm1.f64 x))) (log.f64 (expm1.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) 2) (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) (fma.f64 (neg.f64 (log.f64 (expm1.f64 x))) 1 (log.f64 (expm1.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) 2) (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (expm1.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2) (log.f64 (expm1.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) 2) (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (sqrt.f64 (log.f64 (expm1.f64 x))) (log.f64 (expm1.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2) (neg.f64 (cbrt.f64 (log.f64 (expm1.f64 x)))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (log.f64 (expm1.f64 x))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 (log.f64 (expm1.f64 x))) 1))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (neg.f64 (log.f64 (expm1.f64 x))))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (*.f64 (neg.f64 (log.f64 (expm1.f64 x))) 1))
(fma.f64 (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) (fma.f64 (neg.f64 (log.f64 (expm1.f64 x))) 1 (log.f64 (expm1.f64 x))))
(fma.f64 (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (expm1.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2) (log.f64 (expm1.f64 x))))
(fma.f64 (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (sqrt.f64 (log.f64 (expm1.f64 x))) (log.f64 (expm1.f64 x))))
(fma.f64 (sqrt.f64 (log.f64 (expm1.f64 x))) (neg.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) x)
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 (expm1.f64 x)) 3)) (/.f64 1 (fma.f64 (log.f64 (expm1.f64 x)) (+.f64 x (log.f64 (expm1.f64 x))) (pow.f64 x 2))) (fma.f64 (neg.f64 (log.f64 (expm1.f64 x))) 1 (log.f64 (expm1.f64 x))))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 (expm1.f64 x)) 3)) (/.f64 1 (fma.f64 (log.f64 (expm1.f64 x)) (+.f64 x (log.f64 (expm1.f64 x))) (pow.f64 x 2))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (expm1.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2) (log.f64 (expm1.f64 x))))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 (expm1.f64 x)) 3)) (/.f64 1 (fma.f64 (log.f64 (expm1.f64 x)) (+.f64 x (log.f64 (expm1.f64 x))) (pow.f64 x 2))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (sqrt.f64 (log.f64 (expm1.f64 x))) (log.f64 (expm1.f64 x))))
(fma.f64 (-.f64 (pow.f64 x 2) (pow.f64 (log.f64 (expm1.f64 x)) 2)) (/.f64 1 (+.f64 x (log.f64 (expm1.f64 x)))) (fma.f64 (neg.f64 (log.f64 (expm1.f64 x))) 1 (log.f64 (expm1.f64 x))))
(fma.f64 (-.f64 (pow.f64 x 2) (pow.f64 (log.f64 (expm1.f64 x)) 2)) (/.f64 1 (+.f64 x (log.f64 (expm1.f64 x)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (expm1.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2) (log.f64 (expm1.f64 x))))
(fma.f64 (-.f64 (pow.f64 x 2) (pow.f64 (log.f64 (expm1.f64 x)) 2)) (/.f64 1 (+.f64 x (log.f64 (expm1.f64 x)))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (sqrt.f64 (log.f64 (expm1.f64 x))) (log.f64 (expm1.f64 x))))
(fma.f64 (neg.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (sqrt.f64 (log.f64 (expm1.f64 x))) x)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (log.f64 (expm1.f64 x)))) (cbrt.f64 (neg.f64 (log.f64 (expm1.f64 x))))) (cbrt.f64 (neg.f64 (log.f64 (expm1.f64 x)))) x)
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 (expm1.f64 x)))) (sqrt.f64 (neg.f64 (log.f64 (expm1.f64 x)))) x)
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 (expm1.f64 x)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 (expm1.f64 x)))) (fma.f64 (neg.f64 (log.f64 (expm1.f64 x))) 1 (log.f64 (expm1.f64 x))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 (expm1.f64 x)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 (expm1.f64 x)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (expm1.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2) (log.f64 (expm1.f64 x))))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 (expm1.f64 x)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 (expm1.f64 x)))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (sqrt.f64 (log.f64 (expm1.f64 x))) (log.f64 (expm1.f64 x))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (log.f64 (expm1.f64 x))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (neg.f64 (log.f64 (expm1.f64 x))) 1))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (log.f64 (expm1.f64 x))))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 (log.f64 (expm1.f64 x))) 1))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2)) (cbrt.f64 (log.f64 (expm1.f64 x))) x)
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (log.f64 (expm1.f64 x))))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (neg.f64 (log.f64 (expm1.f64 x))) 1))
(fma.f64 (*.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (log.f64 (expm1.f64 x))))
(fma.f64 (*.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 (log.f64 (expm1.f64 x))) 1))
Outputs
(/.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 x 1/12 (/.f64 1 x)))
(+.f64 (fma.f64 x 1/12 1/2) (/.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 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 1/2)) (/.f64 1 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 (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 1/12 x)
(*.f64 x 1/12)
(*.f64 1/12 x)
(*.f64 x 1/12)
(exp.f64 (neg.f64 (log.f64 x)))
(/.f64 1 x)
(+.f64 (exp.f64 (neg.f64 (log.f64 x))) (*.f64 1/2 (*.f64 x (exp.f64 (neg.f64 (log.f64 x))))))
(+.f64 1/2 (/.f64 1 x))
(+.f64 (exp.f64 (neg.f64 (log.f64 x))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 x 2) (exp.f64 (neg.f64 (log.f64 x))))) (*.f64 1/2 (*.f64 x (exp.f64 (neg.f64 (log.f64 x)))))))
(+.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x)))
(+.f64 (fma.f64 x 1/12 1/2) (/.f64 1 x))
(+.f64 (exp.f64 (neg.f64 (log.f64 x))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 x 4) (exp.f64 (neg.f64 (log.f64 x))))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 x 2) (exp.f64 (neg.f64 (log.f64 x))))) (*.f64 1/2 (*.f64 x (exp.f64 (neg.f64 (log.f64 x))))))))
(+.f64 1/2 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))))
(+.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 1/2)) (/.f64 1 x))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (*.f64 -1 x))))
(exp.f64 (neg.f64 (+.f64 (neg.f64 x) (log.f64 (expm1.f64 x)))))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
(*.f64 (expm1.f64 x) (exp.f64 x))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (*.f64 -1 x))))
(exp.f64 (neg.f64 (+.f64 (neg.f64 x) (log.f64 (expm1.f64 x)))))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
(*.f64 (expm1.f64 x) (exp.f64 x))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (*.f64 -1 x))))
(exp.f64 (neg.f64 (+.f64 (neg.f64 x) (log.f64 (expm1.f64 x)))))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
(*.f64 (expm1.f64 x) (exp.f64 x))
(exp.f64 (neg.f64 (+.f64 (log.f64 (expm1.f64 x)) (*.f64 -1 x))))
(exp.f64 (neg.f64 (+.f64 (neg.f64 x) (log.f64 (expm1.f64 x)))))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
(*.f64 (expm1.f64 x) (exp.f64 x))
(log.f64 x)
(+.f64 (log.f64 x) (*.f64 1/2 x))
(+.f64 (log.f64 x) (*.f64 x 1/2))
(fma.f64 x 1/2 (log.f64 x))
(+.f64 (log.f64 x) (+.f64 (*.f64 1/24 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (log.f64 x) (fma.f64 1/24 (pow.f64 x 2) (*.f64 x 1/2)))
(+.f64 (log.f64 x) (fma.f64 x 1/2 (*.f64 (pow.f64 x 2) 1/24)))
(+.f64 (log.f64 x) (fma.f64 (pow.f64 x 2) 1/24 (*.f64 x 1/2)))
(+.f64 (log.f64 x) (+.f64 (*.f64 -1/2880 (pow.f64 x 4)) (+.f64 (*.f64 1/24 (pow.f64 x 2)) (*.f64 1/2 x))))
(+.f64 (log.f64 x) (fma.f64 -1/2880 (pow.f64 x 4) (fma.f64 1/24 (pow.f64 x 2) (*.f64 x 1/2))))
(+.f64 (log.f64 x) (fma.f64 (pow.f64 x 4) -1/2880 (fma.f64 x 1/2 (*.f64 (pow.f64 x 2) 1/24))))
(+.f64 (log.f64 x) (fma.f64 (pow.f64 x 4) -1/2880 (fma.f64 (pow.f64 x 2) 1/24 (*.f64 x 1/2))))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (expm1.f64 x))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (expm1.f64 x))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (expm1.f64 x))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (expm1.f64 x))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (expm1.f64 x))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (expm1.f64 x))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (expm1.f64 x))
(log.f64 (-.f64 (exp.f64 x) 1))
(log.f64 (expm1.f64 x))
(*.f64 -1 (log.f64 x))
(neg.f64 (log.f64 x))
(+.f64 (*.f64 -1 (log.f64 x)) (*.f64 1/2 x))
(fma.f64 -1 (log.f64 x) (*.f64 x 1/2))
(-.f64 (*.f64 x 1/2) (log.f64 x))
(+.f64 (*.f64 -1 (log.f64 x)) (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (*.f64 1/2 x)))
(fma.f64 -1 (log.f64 x) (fma.f64 -1/24 (pow.f64 x 2) (*.f64 x 1/2)))
(-.f64 (fma.f64 x 1/2 (*.f64 (pow.f64 x 2) -1/24)) (log.f64 x))
(+.f64 (*.f64 -1 (log.f64 x)) (+.f64 (*.f64 -1/24 (pow.f64 x 2)) (+.f64 (*.f64 1/2880 (pow.f64 x 4)) (*.f64 1/2 x))))
(fma.f64 -1 (log.f64 x) (fma.f64 -1/24 (pow.f64 x 2) (fma.f64 1/2880 (pow.f64 x 4) (*.f64 x 1/2))))
(-.f64 (fma.f64 (pow.f64 x 2) -1/24 (fma.f64 (pow.f64 x 4) 1/2880 (*.f64 x 1/2))) (log.f64 x))
x
(+.f64 x (*.f64 -1 (log.f64 (-.f64 (exp.f64 x) 1))))
(-.f64 x (log.f64 (expm1.f64 x)))
(+.f64 x (log.f64 (expm1.f64 x)))
(+.f64 x (*.f64 -1 (log.f64 (-.f64 (exp.f64 x) 1))))
(-.f64 x (log.f64 (expm1.f64 x)))
(+.f64 x (log.f64 (expm1.f64 x)))
(+.f64 x (*.f64 -1 (log.f64 (-.f64 (exp.f64 x) 1))))
(-.f64 x (log.f64 (expm1.f64 x)))
(+.f64 x (log.f64 (expm1.f64 x)))
x
(+.f64 x (*.f64 -1 (log.f64 (-.f64 (exp.f64 x) 1))))
(-.f64 x (log.f64 (expm1.f64 x)))
(+.f64 x (log.f64 (expm1.f64 x)))
(+.f64 x (*.f64 -1 (log.f64 (-.f64 (exp.f64 x) 1))))
(-.f64 x (log.f64 (expm1.f64 x)))
(+.f64 x (log.f64 (expm1.f64 x)))
(+.f64 x (*.f64 -1 (log.f64 (-.f64 (exp.f64 x) 1))))
(-.f64 x (log.f64 (expm1.f64 x)))
(+.f64 x (log.f64 (expm1.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (expm1.f64 x)))) 1)
(/.f64 -1 (expm1.f64 x))
(neg.f64 (expm1.f64 x))
(*.f64 -1 (/.f64 1 (expm1.f64 x)))
(/.f64 -1 (expm1.f64 x))
(neg.f64 (expm1.f64 x))
(*.f64 (/.f64 -1 (expm1.f64 x)) 1)
(/.f64 -1 (expm1.f64 x))
(neg.f64 (expm1.f64 x))
(*.f64 1 (/.f64 -1 (expm1.f64 x)))
(/.f64 -1 (expm1.f64 x))
(neg.f64 (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))
(neg.f64 (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))
(neg.f64 (expm1.f64 x))
(*.f64 (sqrt.f64 (/.f64 -1 (expm1.f64 x))) (sqrt.f64 (/.f64 -1 (expm1.f64 x))))
(/.f64 -1 (expm1.f64 x))
(neg.f64 (expm1.f64 x))
(*.f64 (/.f64 1 (expm1.f64 x)) -1)
(/.f64 -1 (expm1.f64 x))
(neg.f64 (expm1.f64 x))
(pow.f64 (/.f64 -1 (expm1.f64 x)) 1)
(/.f64 -1 (expm1.f64 x))
(neg.f64 (expm1.f64 x))
(pow.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x))) 3)
(/.f64 -1 (expm1.f64 x))
(neg.f64 (expm1.f64 x))
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(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (log.f64 (expm1.f64 x)))) (cbrt.f64 (neg.f64 (log.f64 (expm1.f64 x))))) (cbrt.f64 (neg.f64 (log.f64 (expm1.f64 x)))) x)
(-.f64 x (log.f64 (expm1.f64 x)))
(+.f64 x (log.f64 (expm1.f64 x)))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 (expm1.f64 x)))) (sqrt.f64 (neg.f64 (log.f64 (expm1.f64 x)))) x)
(-.f64 x (log.f64 (expm1.f64 x)))
(+.f64 x (log.f64 (expm1.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 (expm1.f64 x)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 (expm1.f64 x)))) (fma.f64 (neg.f64 (log.f64 (expm1.f64 x))) 1 (log.f64 (expm1.f64 x))))
(-.f64 x (log.f64 (expm1.f64 x)))
(+.f64 x (log.f64 (expm1.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 (expm1.f64 x)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 (expm1.f64 x)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (expm1.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2) (log.f64 (expm1.f64 x))))
(-.f64 x (log.f64 (expm1.f64 x)))
(+.f64 x (log.f64 (expm1.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 (expm1.f64 x)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 (expm1.f64 x)))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (expm1.f64 x)))) (sqrt.f64 (log.f64 (expm1.f64 x))) (log.f64 (expm1.f64 x))))
(-.f64 x (log.f64 (expm1.f64 x)))
(+.f64 x (log.f64 (expm1.f64 x)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (log.f64 (expm1.f64 x))))
(neg.f64 (+.f64 x (log.f64 (expm1.f64 x))))
(-.f64 (neg.f64 x) (log.f64 (expm1.f64 x)))
(-.f64 (log.f64 (expm1.f64 x)) x)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (neg.f64 (log.f64 (expm1.f64 x))) 1))
(neg.f64 (+.f64 x (log.f64 (expm1.f64 x))))
(-.f64 (neg.f64 x) (log.f64 (expm1.f64 x)))
(-.f64 (log.f64 (expm1.f64 x)) x)
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (log.f64 (expm1.f64 x))))
(neg.f64 (+.f64 x (log.f64 (expm1.f64 x))))
(-.f64 (neg.f64 x) (log.f64 (expm1.f64 x)))
(-.f64 (log.f64 (expm1.f64 x)) x)
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 (log.f64 (expm1.f64 x))) 1))
(neg.f64 (+.f64 x (log.f64 (expm1.f64 x))))
(-.f64 (neg.f64 x) (log.f64 (expm1.f64 x)))
(-.f64 (log.f64 (expm1.f64 x)) x)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2)) (cbrt.f64 (log.f64 (expm1.f64 x))) x)
(-.f64 x (log.f64 (expm1.f64 x)))
(+.f64 x (log.f64 (expm1.f64 x)))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (log.f64 (expm1.f64 x))))
(neg.f64 (+.f64 x (log.f64 (expm1.f64 x))))
(-.f64 (neg.f64 x) (log.f64 (expm1.f64 x)))
(-.f64 (log.f64 (expm1.f64 x)) x)
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (neg.f64 (log.f64 (expm1.f64 x))) 1))
(neg.f64 (+.f64 x (log.f64 (expm1.f64 x))))
(-.f64 (neg.f64 x) (log.f64 (expm1.f64 x)))
(-.f64 (log.f64 (expm1.f64 x)) x)
(fma.f64 (*.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (log.f64 (expm1.f64 x))))
(neg.f64 (+.f64 x (log.f64 (expm1.f64 x))))
(-.f64 (neg.f64 x) (log.f64 (expm1.f64 x)))
(-.f64 (log.f64 (expm1.f64 x)) x)
(fma.f64 (*.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 (log.f64 (expm1.f64 x))) 1))
(neg.f64 (+.f64 x (log.f64 (expm1.f64 x))))
(-.f64 (neg.f64 x) (log.f64 (expm1.f64 x)))
(-.f64 (log.f64 (expm1.f64 x)) x)

eval105.0ms (3.6%)

Compiler

Compiled 5864 to 3449 computations (41.2% saved)

prune62.0ms (2.1%)

Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New3812383
Fresh000
Picked055
Done011
Total3818389
Accuracy
100.0%
Counts
389 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.2%
(/.f64 (exp.f64 x) (expm1.f64 x))
✓65.0%
(/.f64 1 x)
✓100.0%
(/.f64 -1 (expm1.f64 (neg.f64 x)))
✓65.0%
(+.f64 (/.f64 1 x) 1/2)
✓65.1%
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
▶3.2%
(+.f64 1/2 (*.f64 x 1/12))
✓29.8%
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
▶35.8%
(exp.f64 x)
✓99.2%
(/.f64 (exp.f64 x) (expm1.f64 x))
✓65.0%
(/.f64 1 x)
✓100.0%
(/.f64 -1 (expm1.f64 (neg.f64 x)))
✓65.0%
(+.f64 (/.f64 1 x) 1/2)
✓65.1%
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
▶3.2%
(+.f64 1/2 (*.f64 x 1/12))
✓29.8%
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
▶35.8%
(exp.f64 x)
Compiler

Compiled 96 to 74 computations (22.9% saved)

localize26.0ms (0.9%)

Localize:

Found 2 expressions with local error:

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

Compiled 16 to 11 computations (31.3% saved)

series0.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(+.f64 1/2 (*.f64 x 1/12))
0.0ms
x
@0
(*.f64 x 1/12)
0.0ms
x
@inf
(+.f64 1/2 (*.f64 x 1/12))
0.0ms
x
@0
(+.f64 1/2 (*.f64 x 1/12))
0.0ms
x
@inf
(*.f64 x 1/12)

rewrite54.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
566×unpow-prod-down
388×log1p-expm1-u
388×expm1-log1p-u
370×cbrt-prod
368×log-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0926
18122
2103122
Stop Event
1×node limit
Counts
2 → 81
Calls
Call 1
Inputs
(*.f64 x 1/12)
(+.f64 1/2 (*.f64 x 1/12))
Outputs
(+.f64 (*.f64 1/24 x) (*.f64 1/24 x))
(+.f64 0 (*.f64 x 1/12))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/6))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/12))))
(-.f64 (+.f64 1 (*.f64 x 1/12)) 1)
(pow.f64 (*.f64 x 1/12) 1)
(pow.f64 (cbrt.f64 (*.f64 x 1/12)) 3)
(pow.f64 (pow.f64 (*.f64 x 1/12) 2) 1/2)
(pow.f64 (*.f64 (pow.f64 x 3) 1/1728) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x 1/12)) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 x 1/12)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x 1/12))) 2)) (cbrt.f64 (log.f64 (*.f64 x 1/12))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x 1/12)))) (sqrt.f64 (log.f64 (*.f64 x 1/12))))
(sqrt.f64 (pow.f64 (*.f64 x 1/12) 2))
(log.f64 (pow.f64 (exp.f64 x) 1/12))
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/1728))
(expm1.f64 (log1p.f64 (*.f64 x 1/12)))
(exp.f64 (log.f64 (*.f64 x 1/12)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x 1/12))) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x 1/12)) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x 1/12))) 2))
(log1p.f64 (expm1.f64 (*.f64 x 1/12)))
(-.f64 (+.f64 1 (fma.f64 x 1/12 1/2)) 1)
(-.f64 (/.f64 1/4 (+.f64 1/2 (*.f64 -1/12 x))) (/.f64 (pow.f64 (*.f64 x 1/12) 2) (+.f64 1/2 (*.f64 -1/12 x))))
(*.f64 (fma.f64 x 1/12 1/2) 1)
(*.f64 (fma.f64 x 1/12 1/2) (log.f64 (E.f64)))
(*.f64 1 (fma.f64 x 1/12 1/2))
(*.f64 (cbrt.f64 (fma.f64 x 1/12 1/2)) (pow.f64 (cbrt.f64 (fma.f64 x 1/12 1/2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/12 1/2)) 2) (cbrt.f64 (fma.f64 x 1/12 1/2)))
(*.f64 (sqrt.f64 (fma.f64 x 1/12 1/2)) (sqrt.f64 (fma.f64 x 1/12 1/2)))
(*.f64 (fma.f64 (pow.f64 x 3) 1/1728 1/8) (/.f64 1 (fma.f64 (*.f64 x 1/12) (fma.f64 x 1/12 -1/2) 1/4)))
(*.f64 (-.f64 1/4 (pow.f64 (*.f64 x 1/12) 2)) (/.f64 1 (+.f64 1/2 (*.f64 -1/12 x))))
(*.f64 (pow.f64 1 1/3) (fma.f64 x 1/12 1/2))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x 1/12 1/2))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x 1/12 1/2))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x 1/12 1/2) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x 1/12 1/2) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 x 1/12 1/2) (cbrt.f64 (fma.f64 x 1/12 1/2))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 x 1/12 1/2))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x 1/12 1/2) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 x 1/12 1/2))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x 1/12 1/2) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x 1/12 1/2) 3))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 x 1/12 1/2) (cbrt.f64 (fma.f64 x 1/12 1/2))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 x 1/12 1/2))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1/12 1/2) 5/2)) (cbrt.f64 (sqrt.f64 (fma.f64 x 1/12 1/2))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 x 1/12) (fma.f64 x 1/12 -1/2) 1/4) (fma.f64 (pow.f64 x 3) 1/1728 1/8)))
(/.f64 1 (/.f64 (+.f64 1/2 (*.f64 -1/12 x)) (-.f64 1/4 (pow.f64 (*.f64 x 1/12) 2))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 1/8) (fma.f64 (*.f64 x 1/12) (fma.f64 x 1/12 -1/2) 1/4))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 1/8) (fma.f64 (pow.f64 x 2) 1/144 (-.f64 1/4 (*.f64 1/24 x))))
(/.f64 (-.f64 1/4 (pow.f64 (*.f64 x 1/12) 2)) (+.f64 1/2 (*.f64 -1/12 x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 1/1728 1/8)) (neg.f64 (fma.f64 (*.f64 x 1/12) (fma.f64 x 1/12 -1/2) 1/4)))
(/.f64 (neg.f64 (-.f64 1/4 (pow.f64 (*.f64 x 1/12) 2))) (neg.f64 (+.f64 1/2 (*.f64 -1/12 x))))
(/.f64 (fma.f64 (pow.f64 x 2) 1/144 -1/4) (fma.f64 x 1/12 -1/2))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (fma.f64 (pow.f64 x 3) 1/1728 1/8))) (cbrt.f64 (fma.f64 (*.f64 x 1/12) (fma.f64 x 1/12 -1/2) 1/4)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (-.f64 1/4 (pow.f64 (*.f64 x 1/12) 2)))) (cbrt.f64 (+.f64 1/2 (*.f64 -1/12 x))))
(pow.f64 (fma.f64 x 1/12 1/2) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 1/12 1/2)) 3)
(pow.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x 1/12 1/2) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 1/12 1/2)) 2)
(pow.f64 (E.f64) (log.f64 (fma.f64 x 1/12 1/2)))
(pow.f64 (/.f64 (fma.f64 (*.f64 x 1/12) (fma.f64 x 1/12 -1/2) 1/4) (fma.f64 (pow.f64 x 3) 1/1728 1/8)) -1)
(pow.f64 (/.f64 (+.f64 1/2 (*.f64 -1/12 x)) (-.f64 1/4 (pow.f64 (*.f64 x 1/12) 2))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 1/12 1/2))) 2)) (cbrt.f64 (log.f64 (fma.f64 x 1/12 1/2))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 1/12 1/2)))) (sqrt.f64 (log.f64 (fma.f64 x 1/12 1/2))))
(sqrt.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2))
(log.f64 (exp.f64 (fma.f64 x 1/12 1/2)))
(cbrt.f64 (pow.f64 (fma.f64 x 1/12 1/2) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 1/1728 1/8) 3) (pow.f64 (fma.f64 (*.f64 x 1/12) (fma.f64 x 1/12 -1/2) 1/4) 3)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1/4 (pow.f64 (*.f64 x 1/12) 2)) 3) (pow.f64 (+.f64 1/2 (*.f64 -1/12 x)) 3)))
(expm1.f64 (log1p.f64 (fma.f64 x 1/12 1/2)))
(exp.f64 (log.f64 (fma.f64 x 1/12 1/2)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x 1/12 1/2))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x 1/12 1/2))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x 1/12 1/2))) 2))
(log1p.f64 (expm1.f64 (fma.f64 x 1/12 1/2)))
(fma.f64 x 1/12 1/2)
(fma.f64 1/12 x 1/2)
(fma.f64 (*.f64 x 1/12) 1 1/2)
(fma.f64 1 (*.f64 x 1/12) 1/2)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/12) 1/2)
(fma.f64 (cbrt.f64 (*.f64 x 1/12)) (pow.f64 (cbrt.f64 (*.f64 x 1/12)) 2) 1/2)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/12)) 2) (cbrt.f64 (*.f64 x 1/12)) 1/2)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/12) 1/2)
(fma.f64 (sqrt.f64 (*.f64 x 1/12)) (sqrt.f64 (*.f64 x 1/12)) 1/2)
(fma.f64 (*.f64 1/12 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 1/2)
(fma.f64 (*.f64 1/12 (sqrt.f64 x)) (sqrt.f64 x) 1/2)

simplify76.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
1136×fma-neg
1122×fma-def
1060×distribute-lft-in
1054×distribute-rgt-in
542×unswap-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02152373
14662285
214202225
377532225
Stop Event
1×node limit
Counts
105 → 118
Calls
Call 1
Inputs
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
1/2
(+.f64 1/2 (*.f64 1/12 x))
(+.f64 1/2 (*.f64 1/12 x))
(+.f64 1/2 (*.f64 1/12 x))
(*.f64 1/12 x)
(+.f64 1/2 (*.f64 1/12 x))
(+.f64 1/2 (*.f64 1/12 x))
(+.f64 1/2 (*.f64 1/12 x))
(*.f64 1/12 x)
(+.f64 1/2 (*.f64 1/12 x))
(+.f64 1/2 (*.f64 1/12 x))
(+.f64 1/2 (*.f64 1/12 x))
(+.f64 (*.f64 1/24 x) (*.f64 1/24 x))
(+.f64 0 (*.f64 x 1/12))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/6))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/12))))
(-.f64 (+.f64 1 (*.f64 x 1/12)) 1)
(pow.f64 (*.f64 x 1/12) 1)
(pow.f64 (cbrt.f64 (*.f64 x 1/12)) 3)
(pow.f64 (pow.f64 (*.f64 x 1/12) 2) 1/2)
(pow.f64 (*.f64 (pow.f64 x 3) 1/1728) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x 1/12)) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 x 1/12)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x 1/12))) 2)) (cbrt.f64 (log.f64 (*.f64 x 1/12))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x 1/12)))) (sqrt.f64 (log.f64 (*.f64 x 1/12))))
(sqrt.f64 (pow.f64 (*.f64 x 1/12) 2))
(log.f64 (pow.f64 (exp.f64 x) 1/12))
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/1728))
(expm1.f64 (log1p.f64 (*.f64 x 1/12)))
(exp.f64 (log.f64 (*.f64 x 1/12)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x 1/12))) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x 1/12)) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x 1/12))) 2))
(log1p.f64 (expm1.f64 (*.f64 x 1/12)))
(-.f64 (+.f64 1 (fma.f64 x 1/12 1/2)) 1)
(-.f64 (/.f64 1/4 (+.f64 1/2 (*.f64 -1/12 x))) (/.f64 (pow.f64 (*.f64 x 1/12) 2) (+.f64 1/2 (*.f64 -1/12 x))))
(*.f64 (fma.f64 x 1/12 1/2) 1)
(*.f64 (fma.f64 x 1/12 1/2) (log.f64 (E.f64)))
(*.f64 1 (fma.f64 x 1/12 1/2))
(*.f64 (cbrt.f64 (fma.f64 x 1/12 1/2)) (pow.f64 (cbrt.f64 (fma.f64 x 1/12 1/2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/12 1/2)) 2) (cbrt.f64 (fma.f64 x 1/12 1/2)))
(*.f64 (sqrt.f64 (fma.f64 x 1/12 1/2)) (sqrt.f64 (fma.f64 x 1/12 1/2)))
(*.f64 (fma.f64 (pow.f64 x 3) 1/1728 1/8) (/.f64 1 (fma.f64 (*.f64 x 1/12) (fma.f64 x 1/12 -1/2) 1/4)))
(*.f64 (-.f64 1/4 (pow.f64 (*.f64 x 1/12) 2)) (/.f64 1 (+.f64 1/2 (*.f64 -1/12 x))))
(*.f64 (pow.f64 1 1/3) (fma.f64 x 1/12 1/2))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x 1/12 1/2))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x 1/12 1/2))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x 1/12 1/2) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x 1/12 1/2) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 x 1/12 1/2) (cbrt.f64 (fma.f64 x 1/12 1/2))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 x 1/12 1/2))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x 1/12 1/2) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 x 1/12 1/2))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x 1/12 1/2) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x 1/12 1/2) 3))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 x 1/12 1/2) (cbrt.f64 (fma.f64 x 1/12 1/2))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 x 1/12 1/2))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1/12 1/2) 5/2)) (cbrt.f64 (sqrt.f64 (fma.f64 x 1/12 1/2))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 x 1/12) (fma.f64 x 1/12 -1/2) 1/4) (fma.f64 (pow.f64 x 3) 1/1728 1/8)))
(/.f64 1 (/.f64 (+.f64 1/2 (*.f64 -1/12 x)) (-.f64 1/4 (pow.f64 (*.f64 x 1/12) 2))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 1/8) (fma.f64 (*.f64 x 1/12) (fma.f64 x 1/12 -1/2) 1/4))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 1/8) (fma.f64 (pow.f64 x 2) 1/144 (-.f64 1/4 (*.f64 1/24 x))))
(/.f64 (-.f64 1/4 (pow.f64 (*.f64 x 1/12) 2)) (+.f64 1/2 (*.f64 -1/12 x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 1/1728 1/8)) (neg.f64 (fma.f64 (*.f64 x 1/12) (fma.f64 x 1/12 -1/2) 1/4)))
(/.f64 (neg.f64 (-.f64 1/4 (pow.f64 (*.f64 x 1/12) 2))) (neg.f64 (+.f64 1/2 (*.f64 -1/12 x))))
(/.f64 (fma.f64 (pow.f64 x 2) 1/144 -1/4) (fma.f64 x 1/12 -1/2))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (fma.f64 (pow.f64 x 3) 1/1728 1/8))) (cbrt.f64 (fma.f64 (*.f64 x 1/12) (fma.f64 x 1/12 -1/2) 1/4)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (-.f64 1/4 (pow.f64 (*.f64 x 1/12) 2)))) (cbrt.f64 (+.f64 1/2 (*.f64 -1/12 x))))
(pow.f64 (fma.f64 x 1/12 1/2) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 1/12 1/2)) 3)
(pow.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x 1/12 1/2) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 1/12 1/2)) 2)
(pow.f64 (E.f64) (log.f64 (fma.f64 x 1/12 1/2)))
(pow.f64 (/.f64 (fma.f64 (*.f64 x 1/12) (fma.f64 x 1/12 -1/2) 1/4) (fma.f64 (pow.f64 x 3) 1/1728 1/8)) -1)
(pow.f64 (/.f64 (+.f64 1/2 (*.f64 -1/12 x)) (-.f64 1/4 (pow.f64 (*.f64 x 1/12) 2))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 1/12 1/2))) 2)) (cbrt.f64 (log.f64 (fma.f64 x 1/12 1/2))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 1/12 1/2)))) (sqrt.f64 (log.f64 (fma.f64 x 1/12 1/2))))
(sqrt.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2))
(log.f64 (exp.f64 (fma.f64 x 1/12 1/2)))
(cbrt.f64 (pow.f64 (fma.f64 x 1/12 1/2) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 1/1728 1/8) 3) (pow.f64 (fma.f64 (*.f64 x 1/12) (fma.f64 x 1/12 -1/2) 1/4) 3)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1/4 (pow.f64 (*.f64 x 1/12) 2)) 3) (pow.f64 (+.f64 1/2 (*.f64 -1/12 x)) 3)))
(expm1.f64 (log1p.f64 (fma.f64 x 1/12 1/2)))
(exp.f64 (log.f64 (fma.f64 x 1/12 1/2)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x 1/12 1/2))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x 1/12 1/2))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x 1/12 1/2))) 2))
(log1p.f64 (expm1.f64 (fma.f64 x 1/12 1/2)))
(fma.f64 x 1/12 1/2)
(fma.f64 1/12 x 1/2)
(fma.f64 (*.f64 x 1/12) 1 1/2)
(fma.f64 1 (*.f64 x 1/12) 1/2)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/12) 1/2)
(fma.f64 (cbrt.f64 (*.f64 x 1/12)) (pow.f64 (cbrt.f64 (*.f64 x 1/12)) 2) 1/2)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/12)) 2) (cbrt.f64 (*.f64 x 1/12)) 1/2)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/12) 1/2)
(fma.f64 (sqrt.f64 (*.f64 x 1/12)) (sqrt.f64 (*.f64 x 1/12)) 1/2)
(fma.f64 (*.f64 1/12 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 1/2)
(fma.f64 (*.f64 1/12 (sqrt.f64 x)) (sqrt.f64 x) 1/2)
Outputs
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
1/2
(+.f64 1/2 (*.f64 1/12 x))
(fma.f64 1/12 x 1/2)
(+.f64 1/2 (*.f64 1/12 x))
(fma.f64 1/12 x 1/2)
(+.f64 1/2 (*.f64 1/12 x))
(fma.f64 1/12 x 1/2)
(*.f64 1/12 x)
(+.f64 1/2 (*.f64 1/12 x))
(fma.f64 1/12 x 1/2)
(+.f64 1/2 (*.f64 1/12 x))
(fma.f64 1/12 x 1/2)
(+.f64 1/2 (*.f64 1/12 x))
(fma.f64 1/12 x 1/2)
(*.f64 1/12 x)
(+.f64 1/2 (*.f64 1/12 x))
(fma.f64 1/12 x 1/2)
(+.f64 1/2 (*.f64 1/12 x))
(fma.f64 1/12 x 1/2)
(+.f64 1/2 (*.f64 1/12 x))
(fma.f64 1/12 x 1/2)
(+.f64 (*.f64 1/24 x) (*.f64 1/24 x))
(*.f64 1/12 x)
(+.f64 0 (*.f64 x 1/12))
(*.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 (+.f64 1 (*.f64 x 1/12)) 1)
(*.f64 1/12 x)
(pow.f64 (*.f64 x 1/12) 1)
(*.f64 1/12 x)
(pow.f64 (cbrt.f64 (*.f64 x 1/12)) 3)
(*.f64 1/12 x)
(pow.f64 (pow.f64 (*.f64 x 1/12) 2) 1/2)
(*.f64 1/12 x)
(pow.f64 (*.f64 (pow.f64 x 3) 1/1728) 1/3)
(*.f64 1/12 x)
(pow.f64 (sqrt.f64 (*.f64 x 1/12)) 2)
(*.f64 1/12 x)
(pow.f64 (E.f64) (log.f64 (*.f64 x 1/12)))
(*.f64 1/12 x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x 1/12))) 2)) (cbrt.f64 (log.f64 (*.f64 x 1/12))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.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 x 1/12)))) (sqrt.f64 (log.f64 (*.f64 x 1/12))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 1/12 x)))) (sqrt.f64 (log.f64 (*.f64 1/12 x))))
(sqrt.f64 (pow.f64 (*.f64 x 1/12) 2))
(*.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))
(*.f64 1/12 x)
(expm1.f64 (log1p.f64 (*.f64 x 1/12)))
(*.f64 1/12 x)
(exp.f64 (log.f64 (*.f64 x 1/12)))
(*.f64 1/12 x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x 1/12))) 3))
(*.f64 1/12 x)
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x 1/12)) 3) 1/3))
(*.f64 1/12 x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x 1/12))) 2))
(*.f64 1/12 x)
(log1p.f64 (expm1.f64 (*.f64 x 1/12)))
(*.f64 1/12 x)
(-.f64 (+.f64 1 (fma.f64 x 1/12 1/2)) 1)
(fma.f64 1/12 x 1/2)
(-.f64 (/.f64 1/4 (+.f64 1/2 (*.f64 -1/12 x))) (/.f64 (pow.f64 (*.f64 x 1/12) 2) (+.f64 1/2 (*.f64 -1/12 x))))
(/.f64 (-.f64 1/4 (pow.f64 (*.f64 1/12 x) 2)) (+.f64 1/2 (*.f64 x -1/12)))
(/.f64 (-.f64 1/4 (*.f64 (pow.f64 x 2) 1/144)) (fma.f64 x -1/12 1/2))
(/.f64 (fma.f64 (pow.f64 x 2) 1/144 -1/4) (fma.f64 1/12 x -1/2))
(*.f64 (fma.f64 x 1/12 1/2) 1)
(fma.f64 1/12 x 1/2)
(*.f64 (fma.f64 x 1/12 1/2) (log.f64 (E.f64)))
(fma.f64 1/12 x 1/2)
(*.f64 1 (fma.f64 x 1/12 1/2))
(fma.f64 1/12 x 1/2)
(*.f64 (cbrt.f64 (fma.f64 x 1/12 1/2)) (pow.f64 (cbrt.f64 (fma.f64 x 1/12 1/2)) 2))
(fma.f64 1/12 x 1/2)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/12 1/2)) 2) (cbrt.f64 (fma.f64 x 1/12 1/2)))
(fma.f64 1/12 x 1/2)
(*.f64 (sqrt.f64 (fma.f64 x 1/12 1/2)) (sqrt.f64 (fma.f64 x 1/12 1/2)))
(fma.f64 1/12 x 1/2)
(*.f64 (fma.f64 (pow.f64 x 3) 1/1728 1/8) (/.f64 1 (fma.f64 (*.f64 x 1/12) (fma.f64 x 1/12 -1/2) 1/4)))
(*.f64 (fma.f64 (pow.f64 x 3) 1/1728 1/8) (/.f64 1 (fma.f64 (*.f64 1/12 x) (fma.f64 x 1/12 -1/2) 1/4)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 1/8) (fma.f64 (*.f64 1/12 x) (fma.f64 1/12 x -1/2) 1/4))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 1/8) (fma.f64 1/12 (*.f64 x (fma.f64 1/12 x -1/2)) 1/4))
(*.f64 (-.f64 1/4 (pow.f64 (*.f64 x 1/12) 2)) (/.f64 1 (+.f64 1/2 (*.f64 -1/12 x))))
(/.f64 (-.f64 1/4 (pow.f64 (*.f64 1/12 x) 2)) (+.f64 1/2 (*.f64 x -1/12)))
(/.f64 (-.f64 1/4 (*.f64 (pow.f64 x 2) 1/144)) (fma.f64 x -1/12 1/2))
(/.f64 (fma.f64 (pow.f64 x 2) 1/144 -1/4) (fma.f64 1/12 x -1/2))
(*.f64 (pow.f64 1 1/3) (fma.f64 x 1/12 1/2))
(fma.f64 1/12 x 1/2)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x 1/12 1/2))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x 1/12 1/2))) 3))
(fma.f64 1/12 x 1/2)
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x 1/12 1/2) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x 1/12 1/2) 3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 1/12 x 1/2) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 1/12 x 1/2) 3))))
(*.f64 (cbrt.f64 (fabs.f64 (pow.f64 (fma.f64 1/12 x 1/2) 3/2))) (cbrt.f64 (fabs.f64 (pow.f64 (fma.f64 1/12 x 1/2) 3/2))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/12 x 1/2) 3/2)) (cbrt.f64 (pow.f64 (fma.f64 1/12 x 1/2) 3/2)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 x 1/12 1/2) (cbrt.f64 (fma.f64 x 1/12 1/2))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 x 1/12 1/2))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 1/12 x 1/2) (cbrt.f64 (fma.f64 1/12 x 1/2))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 1/12 x 1/2))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/12 x 1/2)) 4) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 1/12 x 1/2))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/12 x 1/2)) 8)) (cbrt.f64 (cbrt.f64 (fma.f64 1/12 x 1/2))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x 1/12 1/2) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 x 1/12 1/2))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/12 x 1/2) 5/2)) (cbrt.f64 (sqrt.f64 (fma.f64 1/12 x 1/2))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x 1/12 1/2) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x 1/12 1/2) 3))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 1/12 x 1/2) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 1/12 x 1/2) 3))))
(*.f64 (cbrt.f64 (fabs.f64 (pow.f64 (fma.f64 1/12 x 1/2) 3/2))) (cbrt.f64 (fabs.f64 (pow.f64 (fma.f64 1/12 x 1/2) 3/2))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/12 x 1/2) 3/2)) (cbrt.f64 (pow.f64 (fma.f64 1/12 x 1/2) 3/2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 x 1/12 1/2) (cbrt.f64 (fma.f64 x 1/12 1/2))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 x 1/12 1/2))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 1/12 x 1/2) (cbrt.f64 (fma.f64 1/12 x 1/2))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 1/12 x 1/2))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/12 x 1/2)) 4) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 1/12 x 1/2))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/12 x 1/2)) 8)) (cbrt.f64 (cbrt.f64 (fma.f64 1/12 x 1/2))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1/12 1/2) 5/2)) (cbrt.f64 (sqrt.f64 (fma.f64 x 1/12 1/2))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/12 x 1/2) 5/2)) (cbrt.f64 (sqrt.f64 (fma.f64 1/12 x 1/2))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 x 1/12) (fma.f64 x 1/12 -1/2) 1/4) (fma.f64 (pow.f64 x 3) 1/1728 1/8)))
(*.f64 (fma.f64 (pow.f64 x 3) 1/1728 1/8) (/.f64 1 (fma.f64 (*.f64 1/12 x) (fma.f64 x 1/12 -1/2) 1/4)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 1/8) (fma.f64 (*.f64 1/12 x) (fma.f64 1/12 x -1/2) 1/4))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 1/8) (fma.f64 1/12 (*.f64 x (fma.f64 1/12 x -1/2)) 1/4))
(/.f64 1 (/.f64 (+.f64 1/2 (*.f64 -1/12 x)) (-.f64 1/4 (pow.f64 (*.f64 x 1/12) 2))))
(/.f64 (-.f64 1/4 (pow.f64 (*.f64 1/12 x) 2)) (+.f64 1/2 (*.f64 x -1/12)))
(/.f64 (-.f64 1/4 (*.f64 (pow.f64 x 2) 1/144)) (fma.f64 x -1/12 1/2))
(/.f64 (fma.f64 (pow.f64 x 2) 1/144 -1/4) (fma.f64 1/12 x -1/2))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 1/8) (fma.f64 (*.f64 x 1/12) (fma.f64 x 1/12 -1/2) 1/4))
(*.f64 (fma.f64 (pow.f64 x 3) 1/1728 1/8) (/.f64 1 (fma.f64 (*.f64 1/12 x) (fma.f64 x 1/12 -1/2) 1/4)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 1/8) (fma.f64 (*.f64 1/12 x) (fma.f64 1/12 x -1/2) 1/4))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 1/8) (fma.f64 1/12 (*.f64 x (fma.f64 1/12 x -1/2)) 1/4))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 1/8) (fma.f64 (pow.f64 x 2) 1/144 (-.f64 1/4 (*.f64 1/24 x))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 1/8) (fma.f64 (pow.f64 x 2) 1/144 (+.f64 1/4 (*.f64 -1/24 x))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 1/8) (fma.f64 (pow.f64 x 2) 1/144 (+.f64 1/4 (*.f64 x -1/24))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 1/8) (fma.f64 (pow.f64 x 2) 1/144 (fma.f64 x -1/24 1/4)))
(/.f64 (-.f64 1/4 (pow.f64 (*.f64 x 1/12) 2)) (+.f64 1/2 (*.f64 -1/12 x)))
(/.f64 (-.f64 1/4 (pow.f64 (*.f64 1/12 x) 2)) (+.f64 1/2 (*.f64 x -1/12)))
(/.f64 (-.f64 1/4 (*.f64 (pow.f64 x 2) 1/144)) (fma.f64 x -1/12 1/2))
(/.f64 (fma.f64 (pow.f64 x 2) 1/144 -1/4) (fma.f64 1/12 x -1/2))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 1/1728 1/8)) (neg.f64 (fma.f64 (*.f64 x 1/12) (fma.f64 x 1/12 -1/2) 1/4)))
(*.f64 (fma.f64 (pow.f64 x 3) 1/1728 1/8) (/.f64 1 (fma.f64 (*.f64 1/12 x) (fma.f64 x 1/12 -1/2) 1/4)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 1/8) (fma.f64 (*.f64 1/12 x) (fma.f64 1/12 x -1/2) 1/4))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 1/8) (fma.f64 1/12 (*.f64 x (fma.f64 1/12 x -1/2)) 1/4))
(/.f64 (neg.f64 (-.f64 1/4 (pow.f64 (*.f64 x 1/12) 2))) (neg.f64 (+.f64 1/2 (*.f64 -1/12 x))))
(/.f64 (-.f64 1/4 (pow.f64 (*.f64 1/12 x) 2)) (+.f64 1/2 (*.f64 x -1/12)))
(/.f64 (-.f64 1/4 (*.f64 (pow.f64 x 2) 1/144)) (fma.f64 x -1/12 1/2))
(/.f64 (fma.f64 (pow.f64 x 2) 1/144 -1/4) (fma.f64 1/12 x -1/2))
(/.f64 (fma.f64 (pow.f64 x 2) 1/144 -1/4) (fma.f64 x 1/12 -1/2))
(/.f64 (-.f64 1/4 (pow.f64 (*.f64 1/12 x) 2)) (+.f64 1/2 (*.f64 x -1/12)))
(/.f64 (-.f64 1/4 (*.f64 (pow.f64 x 2) 1/144)) (fma.f64 x -1/12 1/2))
(/.f64 (fma.f64 (pow.f64 x 2) 1/144 -1/4) (fma.f64 1/12 x -1/2))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (fma.f64 (pow.f64 x 3) 1/1728 1/8))) (cbrt.f64 (fma.f64 (*.f64 x 1/12) (fma.f64 x 1/12 -1/2) 1/4)))
(/.f64 (cbrt.f64 (*.f64 (fma.f64 (pow.f64 x 3) 1/1728 1/8) (pow.f64 (fma.f64 1/12 x 1/2) 2))) (cbrt.f64 (fma.f64 (*.f64 1/12 x) (fma.f64 x 1/12 -1/2) 1/4)))
(/.f64 (cbrt.f64 (*.f64 (fma.f64 (pow.f64 x 3) 1/1728 1/8) (pow.f64 (fma.f64 1/12 x 1/2) 2))) (cbrt.f64 (fma.f64 (*.f64 1/12 x) (fma.f64 1/12 x -1/2) 1/4)))
(/.f64 (cbrt.f64 (*.f64 (fma.f64 (pow.f64 x 3) 1/1728 1/8) (pow.f64 (fma.f64 1/12 x 1/2) 2))) (cbrt.f64 (fma.f64 1/12 (*.f64 x (fma.f64 1/12 x -1/2)) 1/4)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) (-.f64 1/4 (pow.f64 (*.f64 x 1/12) 2)))) (cbrt.f64 (+.f64 1/2 (*.f64 -1/12 x))))
(/.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (pow.f64 (*.f64 1/12 x) 2)) (pow.f64 (fma.f64 1/12 x 1/2) 2))) (cbrt.f64 (+.f64 1/2 (*.f64 x -1/12))))
(/.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 (pow.f64 x 2) 1/144)) (pow.f64 (fma.f64 1/12 x 1/2) 2))) (cbrt.f64 (fma.f64 x -1/12 1/2)))
(/.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (pow.f64 (*.f64 1/12 x) 2)) (pow.f64 (fma.f64 1/12 x 1/2) 2))) (cbrt.f64 (fma.f64 x -1/12 1/2)))
(pow.f64 (fma.f64 x 1/12 1/2) 1)
(fma.f64 1/12 x 1/2)
(pow.f64 (cbrt.f64 (fma.f64 x 1/12 1/2)) 3)
(fma.f64 1/12 x 1/2)
(pow.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2) 1/2)
(fma.f64 1/12 x 1/2)
(pow.f64 (pow.f64 (fma.f64 x 1/12 1/2) 3) 1/3)
(fma.f64 1/12 x 1/2)
(pow.f64 (sqrt.f64 (fma.f64 x 1/12 1/2)) 2)
(fma.f64 1/12 x 1/2)
(pow.f64 (E.f64) (log.f64 (fma.f64 x 1/12 1/2)))
(fma.f64 1/12 x 1/2)
(pow.f64 (/.f64 (fma.f64 (*.f64 x 1/12) (fma.f64 x 1/12 -1/2) 1/4) (fma.f64 (pow.f64 x 3) 1/1728 1/8)) -1)
(*.f64 (fma.f64 (pow.f64 x 3) 1/1728 1/8) (/.f64 1 (fma.f64 (*.f64 1/12 x) (fma.f64 x 1/12 -1/2) 1/4)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 1/8) (fma.f64 (*.f64 1/12 x) (fma.f64 1/12 x -1/2) 1/4))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 1/8) (fma.f64 1/12 (*.f64 x (fma.f64 1/12 x -1/2)) 1/4))
(pow.f64 (/.f64 (+.f64 1/2 (*.f64 -1/12 x)) (-.f64 1/4 (pow.f64 (*.f64 x 1/12) 2))) -1)
(/.f64 (-.f64 1/4 (pow.f64 (*.f64 1/12 x) 2)) (+.f64 1/2 (*.f64 x -1/12)))
(/.f64 (-.f64 1/4 (*.f64 (pow.f64 x 2) 1/144)) (fma.f64 x -1/12 1/2))
(/.f64 (fma.f64 (pow.f64 x 2) 1/144 -1/4) (fma.f64 1/12 x -1/2))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 1/12 1/2))) 2)) (cbrt.f64 (log.f64 (fma.f64 x 1/12 1/2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/12 x 1/2))) 2)) (cbrt.f64 (log.f64 (fma.f64 1/12 x 1/2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 1/12 x -1/2))) 2)) (cbrt.f64 (log1p.f64 (fma.f64 1/12 x -1/2))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 1/12 1/2)))) (sqrt.f64 (log.f64 (fma.f64 x 1/12 1/2))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 1/12 x 1/2)))) (sqrt.f64 (log.f64 (fma.f64 1/12 x 1/2))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (fma.f64 1/12 x -1/2)))) (sqrt.f64 (log1p.f64 (fma.f64 1/12 x -1/2))))
(sqrt.f64 (pow.f64 (fma.f64 x 1/12 1/2) 2))
(fma.f64 1/12 x 1/2)
(log.f64 (exp.f64 (fma.f64 x 1/12 1/2)))
(fma.f64 1/12 x 1/2)
(cbrt.f64 (pow.f64 (fma.f64 x 1/12 1/2) 3))
(fma.f64 1/12 x 1/2)
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 1/1728 1/8) 3) (pow.f64 (fma.f64 (*.f64 x 1/12) (fma.f64 x 1/12 -1/2) 1/4) 3)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 1/1728 1/8) 3) (pow.f64 (fma.f64 (*.f64 1/12 x) (fma.f64 x 1/12 -1/2) 1/4) 3)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 1/1728 1/8) 3) (pow.f64 (fma.f64 (*.f64 1/12 x) (fma.f64 1/12 x -1/2) 1/4) 3)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 1/1728 1/8) 3) (pow.f64 (fma.f64 1/12 (*.f64 x (fma.f64 1/12 x -1/2)) 1/4) 3)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1/4 (pow.f64 (*.f64 x 1/12) 2)) 3) (pow.f64 (+.f64 1/2 (*.f64 -1/12 x)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1/4 (pow.f64 (*.f64 1/12 x) 2)) 3) (pow.f64 (+.f64 1/2 (*.f64 x -1/12)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1/4 (*.f64 (pow.f64 x 2) 1/144)) 3) (pow.f64 (fma.f64 x -1/12 1/2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1/4 (pow.f64 (*.f64 1/12 x) 2)) 3) (pow.f64 (fma.f64 x -1/12 1/2) 3)))
(expm1.f64 (log1p.f64 (fma.f64 x 1/12 1/2)))
(fma.f64 1/12 x 1/2)
(exp.f64 (log.f64 (fma.f64 x 1/12 1/2)))
(fma.f64 1/12 x 1/2)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x 1/12 1/2))) 3))
(fma.f64 1/12 x 1/2)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x 1/12 1/2))) 1/3))
(fma.f64 1/12 x 1/2)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x 1/12 1/2))) 2))
(fma.f64 1/12 x 1/2)
(log1p.f64 (expm1.f64 (fma.f64 x 1/12 1/2)))
(fma.f64 1/12 x 1/2)
(fma.f64 x 1/12 1/2)
(fma.f64 1/12 x 1/2)
(fma.f64 1/12 x 1/2)
(fma.f64 (*.f64 x 1/12) 1 1/2)
(fma.f64 1/12 x 1/2)
(fma.f64 1 (*.f64 x 1/12) 1/2)
(fma.f64 1/12 x 1/2)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/12) 1/2)
(fma.f64 1/12 x 1/2)
(fma.f64 (cbrt.f64 (*.f64 x 1/12)) (pow.f64 (cbrt.f64 (*.f64 x 1/12)) 2) 1/2)
(fma.f64 1/12 x 1/2)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/12)) 2) (cbrt.f64 (*.f64 x 1/12)) 1/2)
(fma.f64 1/12 x 1/2)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/12) 1/2)
(fma.f64 1/12 x 1/2)
(fma.f64 (sqrt.f64 (*.f64 x 1/12)) (sqrt.f64 (*.f64 x 1/12)) 1/2)
(fma.f64 1/12 x 1/2)
(fma.f64 (*.f64 1/12 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 1/2)
(fma.f64 1/12 x 1/2)
(fma.f64 (*.f64 1/12 (sqrt.f64 x)) (sqrt.f64 x) 1/2)
(fma.f64 1/12 x 1/2)

eval38.0ms (1.3%)

Compiler

Compiled 1519 to 1286 computations (15.3% saved)

prune19.0ms (0.6%)

Pruning

9 alts after pruning (1 fresh and 8 done)

PrunedKeptTotal
New1171118
Fresh000
Picked022
Done066
Total1179126
Accuracy
100.0%
Counts
126 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.2%
(/.f64 (exp.f64 x) (expm1.f64 x))
✓65.0%
(/.f64 1 x)
✓100.0%
(/.f64 -1 (expm1.f64 (neg.f64 x)))
✓65.0%
(+.f64 (/.f64 1 x) 1/2)
✓65.1%
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
✓3.2%
(+.f64 1/2 (*.f64 x 1/12))
✓29.8%
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
✓35.8%
(exp.f64 x)
3.5%
1/2
✓99.2%
(/.f64 (exp.f64 x) (expm1.f64 x))
✓65.0%
(/.f64 1 x)
✓100.0%
(/.f64 -1 (expm1.f64 (neg.f64 x)))
✓65.0%
(+.f64 (/.f64 1 x) 1/2)
✓65.1%
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
✓3.2%
(+.f64 1/2 (*.f64 x 1/12))
✓29.8%
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
✓35.8%
(exp.f64 x)
3.5%
1/2
Compiler

Compiled 100 to 78 computations (22% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune5.0ms (0.2%)

Pruning

9 alts after pruning (1 fresh and 8 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done088
Total099
Accuracy
100.0%
Counts
9 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.2%
(/.f64 (exp.f64 x) (expm1.f64 x))
✓65.0%
(/.f64 1 x)
✓100.0%
(/.f64 -1 (expm1.f64 (neg.f64 x)))
✓65.0%
(+.f64 (/.f64 1 x) 1/2)
✓65.1%
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
✓3.2%
(+.f64 1/2 (*.f64 x 1/12))
✓29.8%
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
✓35.8%
(exp.f64 x)
3.5%
1/2
Compiler

Compiled 99 to 71 computations (28.3% saved)

regimes13.0ms (0.5%)

Counts
10 → 1
Calls
Call 1
Inputs
1/2
(/.f64 1 x)
(+.f64 1/2 (*.f64 x 1/12))
(+.f64 (/.f64 1 x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(exp.f64 x)
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
Outputs
(/.f64 -1 (expm1.f64 (neg.f64 x)))
Calls

3 calls:

7.0ms
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 62 to 40 computations (35.5% saved)

regimes13.0ms (0.5%)

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

2 calls:

9.0ms
x
3.0ms
(exp.f64 x)
Results
AccuracySegmentsBranch
98.0%2x
98.0%2(exp.f64 x)
Compiler

Compiled 31 to 23 computations (25.8% saved)

regimes11.0ms (0.4%)

Counts
5 → 1
Calls
Call 1
Inputs
1/2
(/.f64 1 x)
(+.f64 1/2 (*.f64 x 1/12))
(+.f64 (/.f64 1 x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
Outputs
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
Calls

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
65.1%1x
Compiler

Compiled 26 to 20 computations (23.1% saved)

regimes5.0ms (0.2%)

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

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
65.0%1x
Compiler

Compiled 17 to 13 computations (23.5% 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:

3.0ms
x
Results
AccuracySegmentsBranch
3.5%1x
Compiler

Compiled 4 to 3 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
6.156589020980523e-7
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify4.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
6×+-commutative
4×*-commutative
2×sub-neg
2×1-exp
2×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024115
130115
232115
333115
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(if (<=.f64 (exp.f64 x) 0) (exp.f64 x) (+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x))))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(/.f64 1 x)
1/2
Outputs
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(if (<=.f64 (exp.f64 x) 0) (exp.f64 x) (+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x))))
(if (<=.f64 (exp.f64 x) 0) (exp.f64 x) (+.f64 1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x))))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x)))
(/.f64 1 x)
1/2
Compiler

Compiled 39 to 30 computations (23.1% saved)

soundness404.0ms (13.6%)

Rules
1174×associate-/r*
1100×distribute-lft-in
1078×fma-def
1070×associate-/l*
1036×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01471
12571
23371
34471
47964
522362
6117662
7495460
02132324
15212228
214102182
355701916
055010085
112379518
242049026
0921
18521
2106421
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 192 to 103 computations (46.4% saved)

end0.0ms (0%)

preprocess63.0ms (2.1%)

Compiler

Compiled 102 to 76 computations (25.5% saved)

Profiling

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