qlog (example 3.10)

Time bar (total: 11.2s)

analyze526.0ms (4.7%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50%50%0%0%0%0
0%0%50%50%0%0%0%1
0%0%50%50%0%0%0%2
0%0%50%50%0%0%0%3
0%0%50%50%0%0%0%4
6.3%3.1%46.8%50%0%0%0%5
9.4%4.7%45.3%50%0%0%0%6
10.9%5.5%44.5%50%0%0%0%7
11.7%5.9%44.1%50%0%0%0%8
12.1%6%43.9%50%0%0%0%9
12.3%6.1%43.8%50%0%0%0%10
12.4%6.2%43.8%50%0%0%0%11
12.5%6.2%43.7%50%0%0%0%12
Compiler

Compiled 17 to 13 computations (23.5% saved)

sample6.1s (54.2%)

Results
4.0s4120×body1024valid
1.0s2067×body512valid
672.0ms407×body2048valid
398.0ms1662×body256valid
Bogosity

preprocess478.0ms (4.2%)

Algorithm
egg-herbie
Rules
4580×fma-def
3900×associate-+r+
3404×associate-+l+
504×distribute-lft-out
358×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01667
12857
24357
37457
411357
515757
618557
721057
824157
933857
1040457
1147857
1252357
1353157
1453357
1575557
16101657
17114957
18131357
19131957
20131957
21214357
22239857
23264657
24277957
25279457
26279457
27454857
28454857
29454857
30454857
31454857
32775157
33780057
34798257
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log.f64 (-.f64 1 (neg.f64 x))) (log.f64 (+.f64 1 (neg.f64 x))))
Outputs
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(/.f64 (log.f64 (-.f64 1 (neg.f64 x))) (log.f64 (+.f64 1 (neg.f64 x))))
(/.f64 (log.f64 (-.f64 1 (neg.f64 x))) (log1p.f64 (neg.f64 x)))
(/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
Compiler

Compiled 10 to 8 computations (20% saved)

eval0.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
5.6%
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
5.6%
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
Compiler

Compiled 34 to 26 computations (23.5% saved)

localize272.0ms (2.4%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
100.0%
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
8.9%
(log.f64 (+.f64 1 x))
8.9%
(log.f64 (-.f64 1 x))
Compiler

Compiled 41 to 24 computations (41.5% saved)

series9.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
2.0ms
x
@-inf
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
1.0ms
x
@inf
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
0.0ms
x
@inf
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
0.0ms
x
@inf
(log.f64 (-.f64 1 x))

rewrite64.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1646×pow1
1520×add-exp-log
1520×log1p-expm1-u
1520×expm1-log1p-u
1488×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01456
129040
2310640
Stop Event
node limit
Counts
4 → 102
Calls
Call 1
Inputs
(log.f64 (-.f64 1 x))
(log.f64 (+.f64 1 x))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
Outputs
(+.f64 0 (log1p.f64 x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2))) (log.f64 (cbrt.f64 (+.f64 1 x))))
(+.f64 (log.f64 (hypot.f64 1 (sqrt.f64 x))) (log.f64 (hypot.f64 1 (sqrt.f64 x))))
(-.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (log.f64 (+.f64 1 (fma.f64 x x x))))
(-.f64 (log.f64 (+.f64 1 (*.f64 x x))) (log1p.f64 x))
(-.f64 (+.f64 1 (log1p.f64 x)) 1)
(*.f64 1 (log1p.f64 x))
(*.f64 (log1p.f64 x) 1)
(*.f64 (cbrt.f64 (log1p.f64 x)) (cbrt.f64 (pow.f64 (log1p.f64 x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (cbrt.f64 (log1p.f64 x)))
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(pow.f64 (log1p.f64 x) 1)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(exp.f64 (log.f64 (log1p.f64 x)))
(log1p.f64 x)
(+.f64 0 (log1p.f64 x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2))) (log.f64 (cbrt.f64 (+.f64 1 x))))
(+.f64 (log.f64 (hypot.f64 1 (sqrt.f64 x))) (log.f64 (hypot.f64 1 (sqrt.f64 x))))
(-.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (log.f64 (+.f64 1 (fma.f64 x x x))))
(-.f64 (log.f64 (+.f64 1 (*.f64 x x))) (log1p.f64 x))
(-.f64 (+.f64 1 (log1p.f64 x)) 1)
(*.f64 1 (log1p.f64 x))
(*.f64 (log1p.f64 x) 1)
(*.f64 (cbrt.f64 (log1p.f64 x)) (cbrt.f64 (pow.f64 (log1p.f64 x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (cbrt.f64 (log1p.f64 x)))
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(pow.f64 (log1p.f64 x) 1)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(exp.f64 (log.f64 (log1p.f64 x)))
(log1p.f64 x)
(-.f64 (+.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x))) 1)
(*.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 (log1p.f64 x) (/.f64 1 (log1p.f64 x)))
(*.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (*.f64 (cbrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x))))
(*.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (sqrt.f64 (log1p.f64 x)) (*.f64 (sqrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x))))
(*.f64 (neg.f64 (log1p.f64 x)) (/.f64 1 (neg.f64 (log1p.f64 x))))
(*.f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log1p.f64 x) 2))) (/.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) (/.f64 (log1p.f64 x) (sqrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) 1) (/.f64 (cbrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) 1) (/.f64 (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (pow.f64 (log1p.f64 x) 2))) (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (cbrt.f64 (pow.f64 (log1p.f64 x) 2))) (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (sqrt.f64 (log1p.f64 x))) (/.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))))
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1)
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2)
(neg.f64 (/.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(exp.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(-.f64 (+.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x))) 1)
(*.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 (log1p.f64 x) (/.f64 1 (log1p.f64 x)))
(*.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (*.f64 (cbrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x))))
(*.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (sqrt.f64 (log1p.f64 x)) (*.f64 (sqrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x))))
(*.f64 (neg.f64 (log1p.f64 x)) (/.f64 1 (neg.f64 (log1p.f64 x))))
(*.f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log1p.f64 x) 2))) (/.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) (/.f64 (log1p.f64 x) (sqrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) 1) (/.f64 (cbrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) 1) (/.f64 (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (pow.f64 (log1p.f64 x) 2))) (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (cbrt.f64 (pow.f64 (log1p.f64 x) 2))) (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (sqrt.f64 (log1p.f64 x))) (/.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))))
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1)
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2)
(neg.f64 (/.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(exp.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))

simplify174.0ms (1.5%)

Algorithm
egg-herbie
Rules
854×associate-+l+
756×associate-+r+
690×associate--r+
472×associate-+l-
416×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02756804
18136072
227605726
Stop Event
node limit
Counts
150 → 183
Calls
Call 1
Inputs
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3))))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 -1/4 (pow.f64 x 4)))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (/.f64 1 x))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))))
(*.f64 -1 (log.f64 (/.f64 -1 x)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 x))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))))
x
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) (*.f64 1/3 (pow.f64 x 3)))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 x)))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
(-.f64 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x)))) (/.f64 2 (*.f64 x (log.f64 (/.f64 1 x))))) (/.f64 (log.f64 -1) (*.f64 x (pow.f64 (log.f64 (/.f64 1 x)) 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 x (log.f64 (/.f64 1 x))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x))))))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x))))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 (pow.f64 x 2) (pow.f64 (log.f64 (/.f64 1 x)) 2)))) (/.f64 (log.f64 -1) (*.f64 x (pow.f64 (log.f64 (/.f64 1 x)) 2))))))
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(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1)
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2)
(neg.f64 (/.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(exp.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(-.f64 (+.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x))) 1)
(*.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 (log1p.f64 x) (/.f64 1 (log1p.f64 x)))
(*.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (*.f64 (cbrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x))))
(*.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (sqrt.f64 (log1p.f64 x)) (*.f64 (sqrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x))))
(*.f64 (neg.f64 (log1p.f64 x)) (/.f64 1 (neg.f64 (log1p.f64 x))))
(*.f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log1p.f64 x) 2))) (/.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) (/.f64 (log1p.f64 x) (sqrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) 1) (/.f64 (cbrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) 1) (/.f64 (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (pow.f64 (log1p.f64 x) 2))) (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (cbrt.f64 (pow.f64 (log1p.f64 x) 2))) (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (sqrt.f64 (log1p.f64 x))) (/.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))))
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1)
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2)
(neg.f64 (/.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(exp.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
Outputs
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1 x (*.f64 -1/2 (*.f64 x x)))
(-.f64 (*.f64 -1/2 (*.f64 x x)) x)
(fma.f64 x (*.f64 x -1/2) (neg.f64 x))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/3 (pow.f64 x 3))))
(fma.f64 -1 x (fma.f64 -1/2 (*.f64 x x) (*.f64 -1/3 (pow.f64 x 3))))
(-.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 -1/3 (pow.f64 x 3))) x)
(-.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 -1/3 x) -1/2)) x)
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 -1/4 (pow.f64 x 4)))))
(fma.f64 -1 x (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -1/4 (pow.f64 x 4)))))
(-.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 -1/4 (pow.f64 x 4)))) x)
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 -1) (log.f64 x))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (/.f64 1 x))
(+.f64 (log.f64 -1) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (/.f64 1 x)))
(-.f64 (+.f64 (log.f64 -1) (log.f64 x)) (/.f64 1 x))
(-.f64 (log.f64 x) (-.f64 (/.f64 1 x) (log.f64 -1)))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(+.f64 (log.f64 -1) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))))
(+.f64 (log.f64 x) (-.f64 (log.f64 -1) (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))))
(-.f64 (-.f64 (log.f64 x) (-.f64 (/.f64 1 x) (log.f64 -1))) (/.f64 1/2 (*.f64 x x)))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 x)))) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) (/.f64 1/3 (pow.f64 x 3))))
(+.f64 (log.f64 x) (-.f64 (log.f64 -1) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) (/.f64 1/3 (pow.f64 x 3)))))
(+.f64 (-.f64 (-.f64 (log.f64 x) (-.f64 (/.f64 1 x) (log.f64 -1))) (/.f64 1/2 (*.f64 x x))) (/.f64 -1/3 (pow.f64 x 3)))
(*.f64 -1 (log.f64 (/.f64 -1 x)))
(neg.f64 (log.f64 (/.f64 -1 x)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 x))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 1 x))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 -1 x))
(-.f64 (/.f64 -1 x) (log.f64 (/.f64 -1 x)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))
(+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 -1/2 (*.f64 x x))) (/.f64 -1 x))
(+.f64 (-.f64 (/.f64 -1 x) (log.f64 (/.f64 -1 x))) (/.f64 -1/2 (*.f64 x x)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) (/.f64 1/3 (pow.f64 x 3))))
(-.f64 (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 -1/2 (*.f64 x x))) (/.f64 -1 x)) (/.f64 1/3 (pow.f64 x 3)))
(+.f64 (+.f64 (/.f64 -1/2 (*.f64 x x)) (/.f64 -1/3 (pow.f64 x 3))) (-.f64 (/.f64 -1 x) (log.f64 (/.f64 -1 x))))
x
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 x (*.f64 -1/2 (*.f64 x x)))
(fma.f64 -1/2 (*.f64 x x) x)
(+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 x (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 3) 1/3)))
(+.f64 x (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x 1/3))))
(+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) (*.f64 1/3 (pow.f64 x 3)))))
(+.f64 x (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/4 (pow.f64 x 4) (*.f64 (pow.f64 x 3) 1/3))))
(+.f64 x (fma.f64 -1/2 (*.f64 x x) (fma.f64 (pow.f64 x 3) 1/3 (*.f64 -1/4 (pow.f64 x 4)))))
(+.f64 (fma.f64 -1/2 (*.f64 x x) x) (fma.f64 (pow.f64 x 3) 1/3 (*.f64 -1/4 (pow.f64 x 4))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x))
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (log.f64 x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x)) (/.f64 1/2 (*.f64 x x)))
(-.f64 (+.f64 (/.f64 1 x) (log.f64 x)) (/.f64 1/2 (*.f64 x x)))
(+.f64 (log.f64 x) (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))) (/.f64 1/2 (*.f64 x x)))
(+.f64 (+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (log.f64 x))) (/.f64 -1/2 (*.f64 x x)))
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (log.f64 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 -1/2 (*.f64 x x))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 x)))
(+.f64 (log.f64 -1) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 1 x)))
(+.f64 (log.f64 -1) (-.f64 (/.f64 1 x) (log.f64 (/.f64 -1 x))))
(+.f64 (/.f64 1 x) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 1 x))) (/.f64 1/2 (*.f64 x x)))
(+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x))))
(+.f64 (log.f64 -1) (-.f64 (/.f64 1 x) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 1/2 (*.f64 x x)))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -1) (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))) (/.f64 1/2 (*.f64 x x))))
(+.f64 (log.f64 -1) (+.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (log.f64 (/.f64 -1 x))) (/.f64 -1/2 (*.f64 x x))))
(+.f64 (-.f64 (/.f64 1/3 (pow.f64 x 3)) (log.f64 (/.f64 -1 x))) (+.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) (log.f64 -1)))
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(-.f64 -1 x)
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
(+.f64 (fma.f64 -1 x (*.f64 -1/2 (*.f64 x x))) -1)
(fma.f64 -1 x (fma.f64 -1/2 (*.f64 x x) -1))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(-.f64 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(+.f64 (fma.f64 -1 x (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 3) -5/12))) -1)
(+.f64 -1 (-.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 (pow.f64 x 3) -5/12)) x))
(+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -5/12))))
(*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x))))
(neg.f64 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))))
(/.f64 (neg.f64 (+.f64 (log.f64 -1) (log.f64 x))) (neg.f64 (log.f64 x)))
(/.f64 (-.f64 (neg.f64 (log.f64 -1)) (log.f64 x)) (neg.f64 (log.f64 x)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x)))) (/.f64 2 (*.f64 x (log.f64 (/.f64 1 x))))) (/.f64 (log.f64 -1) (*.f64 x (pow.f64 (log.f64 (/.f64 1 x)) 2))))
(-.f64 (fma.f64 -1 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))) (/.f64 (/.f64 2 x) (neg.f64 (log.f64 x)))) (/.f64 (log.f64 -1) (*.f64 x (pow.f64 (neg.f64 (log.f64 x)) 2))))
(-.f64 (-.f64 (/.f64 (/.f64 2 x) (neg.f64 (log.f64 x))) (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (neg.f64 (log.f64 x)))) (/.f64 (log.f64 -1) (*.f64 x (*.f64 (log.f64 x) (log.f64 x)))))
(-.f64 (/.f64 (-.f64 (/.f64 2 (neg.f64 (log.f64 x))) (/.f64 (log.f64 -1) (*.f64 (log.f64 x) (log.f64 x)))) x) (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) (neg.f64 (log.f64 x))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 x (log.f64 (/.f64 1 x))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x))))))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x))))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 (pow.f64 x 2) (pow.f64 (log.f64 (/.f64 1 x)) 2)))) (/.f64 (log.f64 -1) (*.f64 x (pow.f64 (log.f64 (/.f64 1 x)) 2))))))
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))) (/.f64 (/.f64 2 x) (neg.f64 (log.f64 x)))) (/.f64 1/2 (*.f64 (*.f64 x x) (neg.f64 (log.f64 x))))) (fma.f64 -1 (/.f64 (-.f64 (/.f64 2 (neg.f64 (log.f64 x))) (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 2))) (*.f64 (*.f64 x x) (neg.f64 (log.f64 x)))) (fma.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 x)))) (*.f64 (*.f64 x x) (pow.f64 (neg.f64 (log.f64 x)) 2))) (/.f64 (log.f64 -1) (*.f64 x (pow.f64 (neg.f64 (log.f64 x)) 2))))))
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(/.f64 (*.f64 1 (/.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x)))) (cbrt.f64 (pow.f64 (log1p.f64 x) 2)))
(/.f64 (/.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (pow.f64 (log1p.f64 x) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (cbrt.f64 (pow.f64 (log1p.f64 x) 2))) (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
1
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (sqrt.f64 (log1p.f64 x))) (/.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (*.f64 (cbrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (/.f64 (cbrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1)
1
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1)
1
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 3)
1
(pow.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3)
1
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2)
1
(neg.f64 (/.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))
1
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 2))
1
(log.f64 (exp.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
1
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3))
1
(cbrt.f64 (/.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)))
1
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
1
(exp.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
1
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
1
(-.f64 (+.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x))) 1)
1
(*.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x)))
1
(*.f64 (log1p.f64 x) (/.f64 1 (log1p.f64 x)))
1
(*.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1)
1
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2))
1
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2) (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
1
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (*.f64 (cbrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (/.f64 (cbrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(*.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
1
(*.f64 (sqrt.f64 (log1p.f64 x)) (*.f64 (sqrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x))))
1
(*.f64 (neg.f64 (log1p.f64 x)) (/.f64 1 (neg.f64 (log1p.f64 x))))
1
(*.f64 (/.f64 1 (log1p.f64 x)) (log1p.f64 x))
1
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log1p.f64 x) 2))) (/.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))))
(/.f64 (*.f64 1 (/.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x)))) (cbrt.f64 (pow.f64 (log1p.f64 x) 2)))
(/.f64 (/.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (pow.f64 (log1p.f64 x) 2)))
(*.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) (/.f64 (log1p.f64 x) (sqrt.f64 (log1p.f64 x))))
1
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) 1) (/.f64 (cbrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (*.f64 (cbrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (/.f64 (cbrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) 1) (/.f64 (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)))
1
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (pow.f64 (log1p.f64 x) 2))) (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x))))
(/.f64 (*.f64 1 (/.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x)))) (cbrt.f64 (pow.f64 (log1p.f64 x) 2)))
(/.f64 (/.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))) (cbrt.f64 (pow.f64 (log1p.f64 x) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (cbrt.f64 (pow.f64 (log1p.f64 x) 2))) (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
1
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (sqrt.f64 (log1p.f64 x))) (/.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (*.f64 (cbrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (/.f64 (cbrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1)
1
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) -1)
1
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 3)
1
(pow.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3) 1/3)
1
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) 2)
1
(neg.f64 (/.f64 (log1p.f64 x) (neg.f64 (log1p.f64 x))))
1
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 2))
1
(log.f64 (exp.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
1
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 3))
1
(cbrt.f64 (/.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)))
1
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
1
(exp.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
1
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
1

eval163.0ms (1.4%)

Compiler

Compiled 5110 to 3636 computations (28.8% saved)

prune26.0ms (0.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1803183
Fresh000
Picked022
Done000
Total1805185
Accuracy
100.0%
Counts
185 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
5.6%
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
99.2%
(-.f64 -1 x)
99.7%
(+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -5/12))))
97.6%
-1
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
5.6%
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
99.2%
(-.f64 -1 x)
99.7%
(+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -5/12))))
97.6%
-1
Compiler

Compiled 74 to 56 computations (24.3% saved)

localize50.0ms (0.4%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -5/12))))
100.0%
(*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -5/12)))
99.5%
(*.f64 x -5/12)
Compiler

Compiled 47 to 30 computations (36.2% saved)

series4.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -5/12)))
1.0ms
x
@0
(*.f64 x -5/12)
1.0ms
x
@inf
(*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -5/12)))
0.0ms
x
@0
(*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -5/12)))
0.0ms
x
@inf
(*.f64 x -5/12)

rewrite103.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1368×fma-def
1266×log-prod
580×pow-exp
488×expm1-udef
482×log1p-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01269
128157
2403857
Stop Event
node limit
Counts
3 → 159
Calls
Call 1
Inputs
(*.f64 x -5/12)
(*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -5/12)))
(+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -5/12))))
Outputs
(+.f64 0 (*.f64 x -5/12))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -5/12)) (cbrt.f64 (pow.f64 (exp.f64 x) -5/12)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -5/12))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) -5/12))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) -5/12))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -5/12))) 1)
(pow.f64 (*.f64 x -5/12) 1)
(pow.f64 (cbrt.f64 (*.f64 x -5/12)) 3)
(pow.f64 (*.f64 -125/1728 (pow.f64 x 3)) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x -5/12)) 2)
(sqrt.f64 (*.f64 (*.f64 x x) 25/144))
(log.f64 (pow.f64 (exp.f64 x) -5/12))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -5/12))))
(cbrt.f64 (*.f64 -125/1728 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x -5/12)))
(exp.f64 (log.f64 (*.f64 x -5/12)))
(exp.f64 (*.f64 (log.f64 (*.f64 x -5/12)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x -5/12)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x -5/12))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x -5/12))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x -5/12)) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x -5/12))) 2))
(log1p.f64 (expm1.f64 (*.f64 x -5/12)))
(+.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 -5/12 (pow.f64 x 3)))
(+.f64 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 x (*.f64 x -1/2)))
(+.f64 0 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))
(+.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) 1) (*.f64 (*.f64 -5/12 (pow.f64 x 3)) 1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x -5/12 -1/2)) (*.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x -5/12 -1/2)) (*.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x -5/12 -1/2)) (*.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x -5/12 -1/2)) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x -5/12 -1/2)) (*.f64 x x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3) (pow.f64 (*.f64 -5/12 (pow.f64 x 3)) 3)) (fma.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 x (*.f64 x -1/2)) (-.f64 (*.f64 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 -5/12 (pow.f64 x 3))) (*.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 -5/12 (pow.f64 x 3))))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 x (*.f64 x -1/2))) (*.f64 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 -5/12 (pow.f64 x 3)))) (-.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 -5/12 (pow.f64 x 3))))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 -125/1728 (pow.f64 x 3) -1/8)) (fma.f64 (*.f64 x -5/12) (fma.f64 x -5/12 1/2) 1/4))
(/.f64 (*.f64 (*.f64 x x) (-.f64 1/4 (*.f64 (*.f64 x x) 25/144))) (+.f64 -1/2 (*.f64 5/12 x)))
(/.f64 (*.f64 (fma.f64 -125/1728 (pow.f64 x 3) -1/8) (*.f64 x x)) (fma.f64 (*.f64 x -5/12) (fma.f64 x -5/12 1/2) 1/4))
(/.f64 (*.f64 (-.f64 1/4 (*.f64 (*.f64 x x) 25/144)) (*.f64 x x)) (+.f64 -1/2 (*.f64 5/12 x)))
(pow.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) 1)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) 3) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x -5/12 -1/2)) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))))
(log.f64 (*.f64 (exp.f64 (*.f64 -5/12 (pow.f64 x 3))) (exp.f64 (*.f64 x (*.f64 x -1/2)))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) 3))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2)))) 2))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))))
(fma.f64 x (*.f64 x (*.f64 x -5/12)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 x (*.f64 x -1/2) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 x (*.f64 -5/12 (*.f64 x x)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 x -5/12) (*.f64 x x) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 x x) (*.f64 x -5/12) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 x x) -1/2 (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -1/2 (*.f64 x x) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 1 (*.f64 x (*.f64 x -1/2)) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 1 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 25/144)) (*.f64 (cbrt.f64 (*.f64 x -5/12)) (*.f64 x x)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x -5/12)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (sqrt.f64 (*.f64 x -5/12)) (*.f64 (sqrt.f64 (*.f64 x -5/12)) (*.f64 x x)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (pow.f64 x 3) -5/12 (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 x (*.f64 x -1/2)) 1 (*.f64 (*.f64 -5/12 (pow.f64 x 3)) 1))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 -5/12 (pow.f64 x 3))) (cbrt.f64 (*.f64 -5/12 (pow.f64 x 3)))) (cbrt.f64 (*.f64 -5/12 (pow.f64 x 3))) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (cbrt.f64 (*.f64 x (*.f64 x -1/2)))) (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 (sqrt.f64 (*.f64 -5/12 (pow.f64 x 3))) (sqrt.f64 (*.f64 -5/12 (pow.f64 x 3))) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 x -1/2))) (sqrt.f64 (*.f64 x (*.f64 x -1/2))) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 x -5/12)) x) (*.f64 (sqrt.f64 (*.f64 x -5/12)) x) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 x -5/12))) (*.f64 x (sqrt.f64 (*.f64 x -5/12))) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 (*.f64 x -5/12) x) x (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 -1/2 x) x (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 (*.f64 -1/2 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 (*.f64 (*.f64 x -5/12) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 (*.f64 x x) -5/12) x (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 (*.f64 x x) (cbrt.f64 (*.f64 (*.f64 x x) 25/144))) (cbrt.f64 (*.f64 x -5/12)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 (*.f64 x -5/12))) (sqrt.f64 (*.f64 x -5/12)) (*.f64 x (*.f64 x -1/2)))
(-.f64 -1 (-.f64 x (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) (-.f64 -1 x)))) 1)
(-.f64 (/.f64 (pow.f64 (-.f64 -1 x) 2) (-.f64 -1 (+.f64 x (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))))) (/.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) 2) (-.f64 -1 (+.f64 x (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))))))
(-.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) -1) x)
(*.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) (-.f64 -1 x)) 1)
(*.f64 1 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) (-.f64 -1 x)))
(*.f64 (cbrt.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) (-.f64 -1 x))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) (-.f64 -1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) (-.f64 -1 x))) 2) (cbrt.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) (-.f64 -1 x))))
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) (-.f64 -1 x))) (sqrt.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) (-.f64 -1 x))))
(*.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) 3)) (/.f64 1 (fma.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) (-.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) (-.f64 -1 x)) (pow.f64 (-.f64 -1 x) 2))))
(*.f64 (-.f64 (pow.f64 (-.f64 -1 x) 2) (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) 2)) (/.f64 1 (-.f64 -1 (+.f64 x (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) (-.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) (-.f64 -1 x)) (pow.f64 (-.f64 -1 x) 2)) (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) 3))))
(/.f64 1 (/.f64 (-.f64 -1 (+.f64 x (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))) (-.f64 (pow.f64 (-.f64 -1 x) 2) (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) 2))))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) 3)) (fma.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) (-.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) (-.f64 -1 x)) (pow.f64 (-.f64 -1 x) 2)))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) 3)) (fma.f64 (pow.f64 (fma.f64 x -5/12 -1/2) 2) (pow.f64 x 4) (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) (-.f64 -1 x)))))
(/.f64 (-.f64 (pow.f64 (-.f64 -1 x) 2) (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) 2)) (-.f64 -1 (+.f64 x (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) 3))) (neg.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) (-.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) (-.f64 -1 x)) (pow.f64 (-.f64 -1 x) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 -1 x) 2) (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) 2))) (neg.f64 (-.f64 -1 (+.f64 x (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))))))
(/.f64 (-.f64 -1 (pow.f64 (-.f64 x (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))) 3)) (+.f64 1 (fma.f64 (-.f64 x (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))) (-.f64 x (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))) (*.f64 -1 (-.f64 x (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) 2) (pow.f64 (-.f64 -1 x) 2)) (-.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) (-.f64 -1 x)))
(/.f64 (-.f64 1 (*.f64 (-.f64 x (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))) (-.f64 x (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))))) (+.f64 -1 (-.f64 x (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))))
(pow.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) (-.f64 -1 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) (-.f64 -1 x))) 3)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) (-.f64 -1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) (-.f64 -1 x))) 2)
(pow.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) (-.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) (-.f64 -1 x)) (pow.f64 (-.f64 -1 x) 2)) (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) 3))) -1)
(pow.f64 (/.f64 (-.f64 -1 (+.f64 x (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))) (-.f64 (pow.f64 (-.f64 -1 x) 2) (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) 2))) -1)
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) (-.f64 -1 x)) 2))
(log.f64 (exp.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) (-.f64 -1 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) (-.f64 -1 x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (fma.f64 x -5/12 -1/2)) (*.f64 x x)) (+.f64 1 (expm1.f64 (-.f64 -1 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))) (exp.f64 (-.f64 -1 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))) (+.f64 1 (expm1.f64 (-.f64 -1 x)))))
(log.f64 (*.f64 (exp.f64 (-.f64 -1 x)) (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 -1 x))) (pow.f64 (exp.f64 (fma.f64 x -5/12 -1/2)) (*.f64 x x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 -1 x))) (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))))))
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) (-.f64 -1 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) (-.f64 -1 x))))
(exp.f64 (log.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) (-.f64 -1 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) (-.f64 -1 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) (-.f64 -1 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) (-.f64 -1 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) (-.f64 -1 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) (-.f64 -1 x)))) 2))
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) (-.f64 -1 x))))
(fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) (-.f64 -1 x))
(fma.f64 x (*.f64 x -1/2) (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(fma.f64 (*.f64 x x) -1/2 (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) (-.f64 -1 x))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(fma.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x) (-.f64 -1 x))
(fma.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) 1 (-.f64 -1 x))
(fma.f64 (-.f64 -1 x) 1 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))
(fma.f64 1 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) (-.f64 -1 x))
(fma.f64 1 (-.f64 -1 x) (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))
(fma.f64 1 (*.f64 x (*.f64 x -1/2)) (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(fma.f64 (cbrt.f64 (-.f64 -1 x)) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (cbrt.f64 (-.f64 -1 x)) (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x -5/12 -1/2)) 2) (*.f64 (cbrt.f64 (fma.f64 x -5/12 -1/2)) (*.f64 x x)) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))) 2) (-.f64 -1 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))) 2) (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 x -5/12 -1/2)) (-.f64 -1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x (fma.f64 x -5/12 -1/2))) (-.f64 -1 x))
(fma.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (-.f64 -1 x)) (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))
(fma.f64 (sqrt.f64 (fma.f64 x -5/12 -1/2)) (*.f64 (sqrt.f64 (fma.f64 x -5/12 -1/2)) (*.f64 x x)) (-.f64 -1 x))
(fma.f64 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) (-.f64 -1 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x (fma.f64 x -5/12 -1/2))) (-.f64 -1 x))
(fma.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x -1) 1)) (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))
(fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 x -1)) (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))
(fma.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) x (-.f64 -1 x))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (cbrt.f64 (*.f64 x (*.f64 x -1/2)))) (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 x -1/2))) (sqrt.f64 (*.f64 x (*.f64 x -1/2))) (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(fma.f64 (*.f64 -1/2 x) x (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(fma.f64 (*.f64 -1/2 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(fma.f64 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 x -5/12 -1/2)) 2)) (cbrt.f64 (fma.f64 x -5/12 -1/2)) (-.f64 -1 x))
(fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x -5/12 -1/2))) (sqrt.f64 (fma.f64 x -5/12 -1/2)) (-.f64 -1 x))
(fma.f64 (*.f64 (fma.f64 x -5/12 -1/2) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (-.f64 -1 x))

simplify123.0ms (1.1%)

Algorithm
egg-herbie
Rules
1208×unswap-sqr
798×cancel-sign-sub-inv
744×times-frac
586×fma-neg
510×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03887273
19715953
232285901
Stop Event
node limit
Counts
195 → 226
Calls
Call 1
Inputs
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
(-.f64 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(+.f64 0 (*.f64 x -5/12))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -5/12)) (cbrt.f64 (pow.f64 (exp.f64 x) -5/12)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -5/12))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) -5/12))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) -5/12))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -5/12))) 1)
(pow.f64 (*.f64 x -5/12) 1)
(pow.f64 (cbrt.f64 (*.f64 x -5/12)) 3)
(pow.f64 (*.f64 -125/1728 (pow.f64 x 3)) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x -5/12)) 2)
(sqrt.f64 (*.f64 (*.f64 x x) 25/144))
(log.f64 (pow.f64 (exp.f64 x) -5/12))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -5/12))))
(cbrt.f64 (*.f64 -125/1728 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x -5/12)))
(exp.f64 (log.f64 (*.f64 x -5/12)))
(exp.f64 (*.f64 (log.f64 (*.f64 x -5/12)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x -5/12)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x -5/12))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x -5/12))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x -5/12)) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x -5/12))) 2))
(log1p.f64 (expm1.f64 (*.f64 x -5/12)))
(+.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 -5/12 (pow.f64 x 3)))
(+.f64 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 x (*.f64 x -1/2)))
(+.f64 0 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))
(+.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) 1) (*.f64 (*.f64 -5/12 (pow.f64 x 3)) 1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x -5/12 -1/2)) (*.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x -5/12 -1/2)) (*.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x -5/12 -1/2)) (*.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x -5/12 -1/2)) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x -5/12 -1/2)) (*.f64 x x)))))
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(fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 x -1)) (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))
(fma.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) x (-.f64 -1 x))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (cbrt.f64 (*.f64 x (*.f64 x -1/2)))) (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 x -1/2))) (sqrt.f64 (*.f64 x (*.f64 x -1/2))) (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(fma.f64 (*.f64 -1/2 x) x (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(fma.f64 (*.f64 -1/2 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(fma.f64 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 x -5/12 -1/2)) 2)) (cbrt.f64 (fma.f64 x -5/12 -1/2)) (-.f64 -1 x))
(fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x -5/12 -1/2))) (sqrt.f64 (fma.f64 x -5/12 -1/2)) (-.f64 -1 x))
(fma.f64 (*.f64 (fma.f64 x -5/12 -1/2) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (-.f64 -1 x))
Outputs
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -5/12 x)
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(*.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(*.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(*.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2))
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(*.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(*.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(*.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2))
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(*.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(*.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(*.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2))
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(-.f64 -1 x)
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1)
(fma.f64 x -1 (fma.f64 -1/2 (*.f64 x x) -1))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(-.f64 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(+.f64 (fma.f64 -1 x (fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))) -1)
(fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) (-.f64 -1 x))
(-.f64 (fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) -1) x)
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(*.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3))))
(fma.f64 -1 x (fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2))))
(-.f64 (*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2))) x)
(-.f64 (*.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2)) x)
(-.f64 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(+.f64 (fma.f64 -1 x (fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))) -1)
(fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) (-.f64 -1 x))
(-.f64 (fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) -1) x)
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(*.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2))
(+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3))))
(fma.f64 -1 x (fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2))))
(-.f64 (*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2))) x)
(-.f64 (*.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2)) x)
(-.f64 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(+.f64 (fma.f64 -1 x (fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))) -1)
(fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) (-.f64 -1 x))
(-.f64 (fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) -1) x)
(+.f64 0 (*.f64 x -5/12))
(*.f64 -5/12 x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -5/12)) (cbrt.f64 (pow.f64 (exp.f64 x) -5/12)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -5/12))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -5/12)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -5/12))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) -5/12))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) -5/12))))
(*.f64 -5/12 x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -5/12))) 1)
(*.f64 -5/12 x)
(pow.f64 (*.f64 x -5/12) 1)
(*.f64 -5/12 x)
(pow.f64 (cbrt.f64 (*.f64 x -5/12)) 3)
(*.f64 -5/12 x)
(pow.f64 (*.f64 -125/1728 (pow.f64 x 3)) 1/3)
(*.f64 -5/12 x)
(pow.f64 (sqrt.f64 (*.f64 x -5/12)) 2)
(*.f64 -5/12 x)
(sqrt.f64 (*.f64 (*.f64 x x) 25/144))
(sqrt.f64 (*.f64 x (*.f64 x 25/144)))
(log.f64 (pow.f64 (exp.f64 x) -5/12))
(*.f64 -5/12 x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -5/12))))
(*.f64 -5/12 x)
(cbrt.f64 (*.f64 -125/1728 (pow.f64 x 3)))
(*.f64 -5/12 x)
(expm1.f64 (log1p.f64 (*.f64 x -5/12)))
(*.f64 -5/12 x)
(exp.f64 (log.f64 (*.f64 x -5/12)))
(*.f64 -5/12 x)
(exp.f64 (*.f64 (log.f64 (*.f64 x -5/12)) 1))
(*.f64 -5/12 x)
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x -5/12)) 1) 1))
(*.f64 -5/12 x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x -5/12))) 3))
(*.f64 -5/12 x)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x -5/12))) 1/3))
(*.f64 -5/12 x)
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x -5/12)) 3) 1/3))
(*.f64 -5/12 x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x -5/12))) 2))
(*.f64 -5/12 x)
(log1p.f64 (expm1.f64 (*.f64 x -5/12)))
(*.f64 -5/12 x)
(+.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(*.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2))
(+.f64 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(*.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2))
(+.f64 0 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(*.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2))
(+.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) 1) (*.f64 (*.f64 -5/12 (pow.f64 x 3)) 1))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(*.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x -5/12 -1/2)) (*.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x -5/12 -1/2)) (*.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x -5/12 -1/2)) (*.f64 x x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 -5/12 x -1/2)) (*.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 -5/12 x -1/2)) (*.f64 x x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 -5/12 x -1/2))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 -5/12 x -1/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x -5/12 -1/2)) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x -5/12 -1/2)) (*.f64 x x)))))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(*.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))) 1)
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(*.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3) (pow.f64 (*.f64 -5/12 (pow.f64 x 3)) 3)) (fma.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 x (*.f64 x -1/2)) (-.f64 (*.f64 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 -5/12 (pow.f64 x 3))) (*.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 -5/12 (pow.f64 x 3))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3) (*.f64 -125/1728 (pow.f64 (pow.f64 x 3) 3))) (fma.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 x (*.f64 x -1/2)) (*.f64 (*.f64 -5/12 (pow.f64 x 3)) (-.f64 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 x (*.f64 x -1/2))))))
(/.f64 (fma.f64 -125/1728 (pow.f64 (pow.f64 x 3) 3) (*.f64 -1/8 (pow.f64 (*.f64 x x) 3))) (+.f64 (-.f64 (*.f64 25/144 (pow.f64 x 6)) (*.f64 (pow.f64 x 3) (*.f64 (*.f64 x x) 5/24))) (*.f64 1/4 (pow.f64 x 4))))
(/.f64 (fma.f64 -125/1728 (pow.f64 (pow.f64 x 3) 3) (*.f64 -1/8 (pow.f64 x 6))) (+.f64 (*.f64 (pow.f64 x 3) (fma.f64 (pow.f64 x 3) 25/144 (*.f64 (*.f64 x x) -5/24))) (*.f64 1/4 (pow.f64 x 4))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 x (*.f64 x -1/2))) (*.f64 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 -5/12 (pow.f64 x 3)))) (-.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 -5/12 (pow.f64 x 3))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x -1/2) (*.f64 x -1/2))) (*.f64 25/144 (*.f64 (pow.f64 x 3) (pow.f64 x 3)))) (+.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 5/12 (pow.f64 x 3))))
(/.f64 (+.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 -25/144 (pow.f64 x 6))) (fma.f64 x (*.f64 x -1/2) (*.f64 (pow.f64 x 3) 5/12)))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2)) 1)
(/.f64 (*.f64 (*.f64 x x) (fma.f64 -125/1728 (pow.f64 x 3) -1/8)) (fma.f64 (*.f64 x -5/12) (fma.f64 x -5/12 1/2) 1/4))
(/.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 -5/12 x) (fma.f64 x -5/12 1/2) 1/4) (fma.f64 -125/1728 (pow.f64 x 3) -1/8)))
(*.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 -5/12 x) (fma.f64 -5/12 x 1/2) 1/4)) (fma.f64 (pow.f64 x 3) -125/1728 -1/8))
(/.f64 (*.f64 (*.f64 x x) (-.f64 1/4 (*.f64 (*.f64 x x) 25/144))) (+.f64 -1/2 (*.f64 5/12 x)))
(/.f64 (*.f64 x x) (/.f64 (+.f64 -1/2 (*.f64 x 5/12)) (-.f64 1/4 (*.f64 x (*.f64 x 25/144)))))
(*.f64 (/.f64 (*.f64 x x) (fma.f64 x 5/12 -1/2)) (+.f64 1/4 (*.f64 (*.f64 x x) -25/144)))
(*.f64 (/.f64 (*.f64 x x) (fma.f64 x 5/12 -1/2)) (+.f64 1/4 (*.f64 x (*.f64 x -25/144))))
(/.f64 (*.f64 (fma.f64 -125/1728 (pow.f64 x 3) -1/8) (*.f64 x x)) (fma.f64 (*.f64 x -5/12) (fma.f64 x -5/12 1/2) 1/4))
(/.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 -5/12 x) (fma.f64 x -5/12 1/2) 1/4) (fma.f64 -125/1728 (pow.f64 x 3) -1/8)))
(*.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 -5/12 x) (fma.f64 -5/12 x 1/2) 1/4)) (fma.f64 (pow.f64 x 3) -125/1728 -1/8))
(/.f64 (*.f64 (-.f64 1/4 (*.f64 (*.f64 x x) 25/144)) (*.f64 x x)) (+.f64 -1/2 (*.f64 5/12 x)))
(/.f64 (*.f64 x x) (/.f64 (+.f64 -1/2 (*.f64 x 5/12)) (-.f64 1/4 (*.f64 x (*.f64 x 25/144)))))
(*.f64 (/.f64 (*.f64 x x) (fma.f64 x 5/12 -1/2)) (+.f64 1/4 (*.f64 (*.f64 x x) -25/144)))
(*.f64 (/.f64 (*.f64 x x) (fma.f64 x 5/12 -1/2)) (+.f64 1/4 (*.f64 x (*.f64 x -25/144))))
(pow.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) 1)
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(*.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))) 3)
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(*.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2))
(pow.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) 3) 1/3)
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(*.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2))
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) 2)
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(*.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) 2))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(*.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x -5/12 -1/2)) (*.f64 x x)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(*.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2))
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(-.f64 (fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) -1) x)
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(fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) (-.f64 -1 x))
(-.f64 (fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) -1) x)
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))) (exp.f64 (-.f64 -1 x))))
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(-.f64 (fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) -1) x)
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(+.f64 (fma.f64 -1 x (fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))) -1)
(fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) (-.f64 -1 x))
(-.f64 (fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) -1) x)
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 x -1/2))) (sqrt.f64 (*.f64 x (*.f64 x -1/2))) (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(+.f64 (fma.f64 -1 x (fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))) -1)
(fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) (-.f64 -1 x))
(-.f64 (fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) -1) x)
(fma.f64 (*.f64 -1/2 x) x (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(+.f64 (fma.f64 -1 x (fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))) -1)
(fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) (-.f64 -1 x))
(-.f64 (fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) -1) x)
(fma.f64 (*.f64 -1/2 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 -1/2 (pow.f64 (cbrt.f64 x) 2)) (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(fma.f64 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 x -5/12 -1/2)) 2)) (cbrt.f64 (fma.f64 x -5/12 -1/2)) (-.f64 -1 x))
(+.f64 (fma.f64 -1 x (fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))) -1)
(fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) (-.f64 -1 x))
(-.f64 (fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) -1) x)
(fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x -5/12 -1/2))) (sqrt.f64 (fma.f64 x -5/12 -1/2)) (-.f64 -1 x))
(+.f64 (fma.f64 -1 x (fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))) -1)
(fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) (-.f64 -1 x))
(-.f64 (fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) -1) x)
(fma.f64 (*.f64 (fma.f64 x -5/12 -1/2) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (fma.f64 x -5/12 -1/2) (pow.f64 (cbrt.f64 x) 2)) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (fma.f64 -5/12 x -1/2) (pow.f64 (cbrt.f64 x) 2)) (-.f64 -1 x))

eval104.0ms (0.9%)

Compiler

Compiled 4644 to 3243 computations (30.2% saved)

prune40.0ms (0.4%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New2242226
Fresh011
Picked022
Done022
Total2247231
Accuracy
100.0%
Counts
231 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
5.6%
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
99.7%
(-.f64 -1 (-.f64 x (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))))
99.2%
(-.f64 -1 x)
99.7%
(+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -5/12))))
99.5%
(+.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))
97.6%
-1
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
5.6%
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
99.7%
(-.f64 -1 (-.f64 x (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))))
99.2%
(-.f64 -1 x)
99.7%
(+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -5/12))))
99.5%
(+.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))
97.6%
-1
Compiler

Compiled 120 to 88 computations (26.7% saved)

localize137.0ms (1.2%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))
100.0%
(*.f64 x (fma.f64 x -5/12 -1/2))
Compiler

Compiled 69 to 46 computations (33.3% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(*.f64 x (fma.f64 x -5/12 -1/2))
0.0ms
x
@0
(*.f64 x (fma.f64 x -5/12 -1/2))
0.0ms
x
@inf
(*.f64 x (fma.f64 x -5/12 -1/2))
0.0ms
x
@inf
(*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))
0.0ms
x
@-inf
(*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))

rewrite83.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1666×pow1
1538×add-exp-log
1538×log1p-expm1-u
1538×expm1-log1p-u
1506×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0936
118236
2207436
Stop Event
node limit
Counts
2 → 30
Calls
Call 1
Inputs
(*.f64 x (fma.f64 x -5/12 -1/2))
(*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))
Outputs
(+.f64 (*.f64 x (*.f64 x -5/12)) (*.f64 x -1/2))
(+.f64 (*.f64 (*.f64 x -5/12) x) (*.f64 -1/2 x))
(-.f64 (+.f64 1 (*.f64 x (fma.f64 x -5/12 -1/2))) 1)
(pow.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -5/12 -1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -5/12 -1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x -5/12 -1/2)))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x -5/12 -1/2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x -5/12 -1/2) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -5/12 -1/2))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x -5/12 -1/2))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x -5/12 -1/2))))
(+.f64 (*.f64 (*.f64 x x) (*.f64 x -5/12)) (*.f64 (*.f64 x x) -1/2))
(+.f64 (*.f64 (*.f64 x -5/12) (*.f64 x x)) (*.f64 -1/2 (*.f64 x x)))
(-.f64 (+.f64 1 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))) 1)
(pow.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) 1)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) 3) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) 2))
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) (fma.f64 x -5/12 -1/2)))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))))

simplify79.0ms (0.7%)

Algorithm
egg-herbie
Rules
1692×log-prod
836×unswap-sqr
796×fma-neg
672×distribute-rgt-out
492×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087936
1202936
2736936
33738936
45796936
Stop Event
node limit
Counts
54 → 43
Calls
Call 1
Inputs
(*.f64 -1/2 x)
(+.f64 (*.f64 -1/2 x) (*.f64 -5/12 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 x) (*.f64 -5/12 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 x) (*.f64 -5/12 (pow.f64 x 2)))
(*.f64 -5/12 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 x) (*.f64 -5/12 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 x) (*.f64 -5/12 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 x) (*.f64 -5/12 (pow.f64 x 2)))
(*.f64 -5/12 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 x) (*.f64 -5/12 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 x) (*.f64 -5/12 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 x) (*.f64 -5/12 (pow.f64 x 2)))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(+.f64 (*.f64 x (*.f64 x -5/12)) (*.f64 x -1/2))
(+.f64 (*.f64 (*.f64 x -5/12) x) (*.f64 -1/2 x))
(-.f64 (+.f64 1 (*.f64 x (fma.f64 x -5/12 -1/2))) 1)
(pow.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -5/12 -1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -5/12 -1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x -5/12 -1/2)))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x -5/12 -1/2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x -5/12 -1/2) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -5/12 -1/2))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x -5/12 -1/2))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x -5/12 -1/2))))
(+.f64 (*.f64 (*.f64 x x) (*.f64 x -5/12)) (*.f64 (*.f64 x x) -1/2))
(+.f64 (*.f64 (*.f64 x -5/12) (*.f64 x x)) (*.f64 -1/2 (*.f64 x x)))
(-.f64 (+.f64 1 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))) 1)
(pow.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) 1)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) 3) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) 2))
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) (fma.f64 x -5/12 -1/2)))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))))
Outputs
(*.f64 -1/2 x)
(+.f64 (*.f64 -1/2 x) (*.f64 -5/12 (pow.f64 x 2)))
(*.f64 x (fma.f64 x -5/12 -1/2))
(+.f64 (*.f64 -1/2 x) (*.f64 -5/12 (pow.f64 x 2)))
(*.f64 x (fma.f64 x -5/12 -1/2))
(+.f64 (*.f64 -1/2 x) (*.f64 -5/12 (pow.f64 x 2)))
(*.f64 x (fma.f64 x -5/12 -1/2))
(*.f64 -5/12 (pow.f64 x 2))
(*.f64 x (*.f64 x -5/12))
(*.f64 -5/12 (*.f64 x x))
(+.f64 (*.f64 -1/2 x) (*.f64 -5/12 (pow.f64 x 2)))
(*.f64 x (fma.f64 x -5/12 -1/2))
(+.f64 (*.f64 -1/2 x) (*.f64 -5/12 (pow.f64 x 2)))
(*.f64 x (fma.f64 x -5/12 -1/2))
(+.f64 (*.f64 -1/2 x) (*.f64 -5/12 (pow.f64 x 2)))
(*.f64 x (fma.f64 x -5/12 -1/2))
(*.f64 -5/12 (pow.f64 x 2))
(*.f64 x (*.f64 x -5/12))
(*.f64 -5/12 (*.f64 x x))
(+.f64 (*.f64 -1/2 x) (*.f64 -5/12 (pow.f64 x 2)))
(*.f64 x (fma.f64 x -5/12 -1/2))
(+.f64 (*.f64 -1/2 x) (*.f64 -5/12 (pow.f64 x 2)))
(*.f64 x (fma.f64 x -5/12 -1/2))
(+.f64 (*.f64 -1/2 x) (*.f64 -5/12 (pow.f64 x 2)))
(*.f64 x (fma.f64 x -5/12 -1/2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))
(*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))
(*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))
(*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))
(*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))
(*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))
(*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x))
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))
(*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))
(*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))
(*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))
(*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))
(*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))
(*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x))
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))
(*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))
(*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))
(*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))
(*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))
(*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))
(*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x))
(+.f64 (*.f64 x (*.f64 x -5/12)) (*.f64 x -1/2))
(*.f64 x (fma.f64 x -5/12 -1/2))
(+.f64 (*.f64 (*.f64 x -5/12) x) (*.f64 -1/2 x))
(*.f64 x (fma.f64 x -5/12 -1/2))
(-.f64 (+.f64 1 (*.f64 x (fma.f64 x -5/12 -1/2))) 1)
(*.f64 x (fma.f64 x -5/12 -1/2))
(pow.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) 1)
(*.f64 x (fma.f64 x -5/12 -1/2))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -5/12 -1/2))) 3)
(*.f64 x (fma.f64 x -5/12 -1/2))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) 3) 1/3)
(*.f64 x (fma.f64 x -5/12 -1/2))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -5/12 -1/2))) 2)
(*.f64 x (fma.f64 x -5/12 -1/2))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) 2))
(*.f64 x (fma.f64 x -5/12 -1/2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x -5/12 -1/2)))
(*.f64 x (fma.f64 x -5/12 -1/2))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) 3))
(*.f64 x (fma.f64 x -5/12 -1/2))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x -5/12 -1/2) 3)))
(*.f64 x (fma.f64 x -5/12 -1/2))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x -5/12 -1/2) 3) (pow.f64 x 3)))
(*.f64 x (fma.f64 x -5/12 -1/2))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -5/12 -1/2))))
(*.f64 x (fma.f64 x -5/12 -1/2))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x -5/12 -1/2))))
(*.f64 x (fma.f64 x -5/12 -1/2))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x -5/12 -1/2))))
(*.f64 x (fma.f64 x -5/12 -1/2))
(+.f64 (*.f64 (*.f64 x x) (*.f64 x -5/12)) (*.f64 (*.f64 x x) -1/2))
(*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))
(*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))
(*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x))
(+.f64 (*.f64 (*.f64 x -5/12) (*.f64 x x)) (*.f64 -1/2 (*.f64 x x)))
(*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))
(*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))
(*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x))
(-.f64 (+.f64 1 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))) 1)
(*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))
(*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))
(*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x))
(pow.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) 1)
(*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))
(*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))
(*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))) 3)
(*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))
(*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))
(*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x))
(pow.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) 3) 1/3)
(*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))
(*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))
(*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) 2)
(*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))
(*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))
(*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) 2))
(*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))
(*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))
(*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x))
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) (fma.f64 x -5/12 -1/2)))
(*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))
(*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))
(*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) 3))
(*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))
(*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))
(*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) 3)))
(*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))
(*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))
(*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) 3) (pow.f64 x 3)))
(*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))
(*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))
(*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))))
(*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))
(*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))
(*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x))
(exp.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))))
(*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))
(*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))
(*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))))
(*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))
(*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))
(*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x))

eval13.0ms (0.1%)

Compiler

Compiled 602 to 425 computations (29.4% saved)

prune14.0ms (0.1%)

Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New41243
Fresh011
Picked112
Done044
Total42850
Accuracy
100.0%
Counts
50 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
5.6%
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
99.7%
(-.f64 -1 (-.f64 x (-.f64 (+.f64 1 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))) 1)))
99.7%
(-.f64 -1 (-.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x -5/12) x) (*.f64 -1/2 x)))))
99.2%
(-.f64 -1 x)
99.7%
(+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -5/12))))
99.5%
(+.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))
97.6%
-1
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
5.6%
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
99.7%
(-.f64 -1 (-.f64 x (-.f64 (+.f64 1 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))) 1)))
99.7%
(-.f64 -1 (-.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x -5/12) x) (*.f64 -1/2 x)))))
99.2%
(-.f64 -1 x)
99.7%
(+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -5/12))))
99.5%
(+.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))
97.6%
-1
Compiler

Compiled 160 to 118 computations (26.3% saved)

localize919.0ms (8.2%)

Localize:

Found 7 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))
100.0%
(*.f64 x (fma.f64 x -5/12 -1/2))
50.2%
(-.f64 (+.f64 1 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))) 1)
100.0%
(+.f64 (*.f64 (*.f64 x -5/12) x) (*.f64 -1/2 x))
100.0%
(*.f64 x (+.f64 (*.f64 (*.f64 x -5/12) x) (*.f64 -1/2 x)))
99.8%
(*.f64 (*.f64 x -5/12) x)
99.5%
(*.f64 x -5/12)
Compiler

Compiled 140 to 97 computations (30.7% saved)

series9.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
3.0ms
x
@0
(*.f64 x (+.f64 (*.f64 (*.f64 x -5/12) x) (*.f64 -1/2 x)))
1.0ms
x
@inf
(*.f64 x (+.f64 (*.f64 (*.f64 x -5/12) x) (*.f64 -1/2 x)))
1.0ms
x
@-inf
(*.f64 x (+.f64 (*.f64 (*.f64 x -5/12) x) (*.f64 -1/2 x)))
1.0ms
x
@0
(*.f64 (*.f64 x -5/12) x)
1.0ms
x
@inf
(*.f64 (*.f64 x -5/12) x)

rewrite290.0ms (2.6%)

Algorithm
batch-egg-rewrite
Rules
1542×log-prod
812×fma-neg
544×expm1-udef
540×log1p-udef
426×log-pow
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01770
137870
2478670
Stop Event
node limit
Counts
4 → 205
Calls
Call 1
Inputs
(*.f64 (*.f64 x -5/12) x)
(*.f64 x (+.f64 (*.f64 (*.f64 x -5/12) x) (*.f64 -1/2 x)))
(+.f64 (*.f64 (*.f64 x -5/12) x) (*.f64 -1/2 x))
(-.f64 (+.f64 1 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))) 1)
Outputs
(+.f64 0 (*.f64 -5/12 (*.f64 x x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) -5/12) x)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) -5/12) x)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) -5/12) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) -5/12) x))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) -5/12) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -5/12 (*.f64 x x)))) 1)
(pow.f64 (*.f64 -5/12 (*.f64 x x)) 1)
(pow.f64 (cbrt.f64 (*.f64 -5/12 (*.f64 x x))) 3)
(pow.f64 (pow.f64 (*.f64 -5/12 (*.f64 x x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 -5/12 (*.f64 x x))) 2)
(sqrt.f64 (pow.f64 (*.f64 -5/12 (*.f64 x x)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) -5/12) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -5/12 (*.f64 x x)))))
(cbrt.f64 (pow.f64 (*.f64 -5/12 (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (*.f64 -5/12 (*.f64 x x))))
(exp.f64 (log.f64 (*.f64 -5/12 (*.f64 x x))))
(exp.f64 (*.f64 (log.f64 (*.f64 -5/12 (*.f64 x x))) 1))
(log1p.f64 (expm1.f64 (*.f64 -5/12 (*.f64 x x))))
(+.f64 1 (fma.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x) -1))
(+.f64 1 (*.f64 (fma.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x) -1) 1))
(+.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)) 0)
(+.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1) -1)
(+.f64 0 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)))
(+.f64 -1 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1))
(+.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 x (*.f64 -5/12 (*.f64 x x))))
(+.f64 (*.f64 x (*.f64 -5/12 (*.f64 x x))) (*.f64 x (*.f64 x -1/2)))
(+.f64 (fma.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x) -1) 1)
(+.f64 (*.f64 (*.f64 x (*.f64 -5/12 (*.f64 x x))) 1) (*.f64 (*.f64 x (*.f64 x -1/2)) 1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (fma.f64 x -5/12 -1/2)) x)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (fma.f64 x -5/12 -1/2)) x)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (fma.f64 x -5/12 -1/2)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (fma.f64 x -5/12 -1/2)) x))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (fma.f64 x -5/12 -1/2)) x))))
(-.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1) 1)
(-.f64 (/.f64 (pow.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1) 3) (+.f64 (pow.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1) 2) (+.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)) 2))) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1) 2) (+.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)) 2))))
(-.f64 (/.f64 (pow.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1) 2) (+.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)) 2)) (/.f64 1 (+.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)) 2)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1) 2) (+.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)) 2)) (+.f64 (pow.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)) 2) (+.f64 (pow.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1) 2) -1)))
(/.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1) 2) (+.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)) 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1) 2) (-.f64 1 (*.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1) -1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1) 2) -1) (+.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)) 2))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1) 2) (+.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1) 2) -1)) (neg.f64 (+.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)) 2)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x) -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x) -1) (fma.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x) -1)) (fma.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x) -1))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 -5/12 (*.f64 x x))) 3) (pow.f64 (*.f64 x (*.f64 x -1/2)) 3)) (+.f64 (*.f64 (*.f64 x (*.f64 -5/12 (*.f64 x x))) (*.f64 x (*.f64 -5/12 (*.f64 x x)))) (-.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 x (*.f64 x -1/2))) (*.f64 (*.f64 x (*.f64 -5/12 (*.f64 x x))) (*.f64 x (*.f64 x -1/2))))))
(/.f64 (-.f64 1 (*.f64 (fma.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x) -1) (fma.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x) -1))) (-.f64 1 (fma.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x) -1)))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 -5/12 (*.f64 x x))) (*.f64 x (*.f64 -5/12 (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 x (*.f64 x -1/2)))) (-.f64 (*.f64 x (*.f64 -5/12 (*.f64 x x))) (*.f64 x (*.f64 x -1/2))))
(/.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 -5/12 (*.f64 x x)) 3) (*.f64 (pow.f64 x 3) -1/8))) (+.f64 (pow.f64 (*.f64 -5/12 (*.f64 x x)) 2) (*.f64 (*.f64 x -1/2) (-.f64 (*.f64 x -1/2) (*.f64 -5/12 (*.f64 x x))))))
(/.f64 (*.f64 x (*.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) (*.f64 x (fma.f64 x -5/12 1/2)))) (*.f64 x (fma.f64 x -5/12 1/2)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 -5/12 (*.f64 x x)) 3) (*.f64 (pow.f64 x 3) -1/8)) x) (+.f64 (pow.f64 (*.f64 -5/12 (*.f64 x x)) 2) (*.f64 (*.f64 x -1/2) (-.f64 (*.f64 x -1/2) (*.f64 -5/12 (*.f64 x x))))))
(/.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) (*.f64 x (fma.f64 x -5/12 1/2))) x) (*.f64 x (fma.f64 x -5/12 1/2)))
(pow.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)) 1)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x))) 3)
(pow.f64 (pow.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)) 3) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) (fma.f64 x -5/12 -1/2)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)))))
(log.f64 (*.f64 (exp.f64 (*.f64 x (*.f64 x -1/2))) (exp.f64 (*.f64 x (*.f64 -5/12 (*.f64 x x))))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x))))
(expm1.f64 (*.f64 (log1p.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x))) 1))
(hypot.f64 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) (sqrt.f64 (*.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)) (fma.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x) -1))))
(exp.f64 (log.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x))) 1))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x))))
(fma.f64 x (*.f64 -5/12 (*.f64 x x)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 -5/12 (*.f64 x x)) x (*.f64 x (*.f64 x -1/2)))
(fma.f64 1 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1) -1)
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1) 1 -1)
(fma.f64 (cbrt.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1)) 2) (cbrt.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1)) 2) (*.f64 (cbrt.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1)) 1) -1)
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(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x))) 1))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x))))
(fma.f64 x (*.f64 -5/12 (*.f64 x x)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 -5/12 (*.f64 x x)) x (*.f64 x (*.f64 x -1/2)))
(fma.f64 1 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1) -1)
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1) 1 -1)
(fma.f64 (cbrt.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1)) 2) (cbrt.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1)) 2) (*.f64 (cbrt.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1)) 1) -1)
(fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2)))) (hypot.f64 1 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2)))) -1)
(fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2)))) (*.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2)))) 1) -1)
(fma.f64 (+.f64 1 (pow.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)) 3)) (/.f64 1 (+.f64 1 (*.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)) (fma.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x) -1)))) -1)
(fma.f64 (-.f64 1 (pow.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)) 2)) (/.f64 1 (-.f64 1 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)))) -1)

simplify119.0ms (1.1%)

Algorithm
egg-herbie
Rules
958×distribute-lft-neg-in
760×log-prod
730×fma-neg
714×associate-*l*
654×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03599263
19437835
241567633
Stop Event
node limit
Counts
253 → 210
Calls
Call 1
Inputs
(*.f64 -5/12 (pow.f64 x 2))
(*.f64 -5/12 (pow.f64 x 2))
(*.f64 -5/12 (pow.f64 x 2))
(*.f64 -5/12 (pow.f64 x 2))
(*.f64 -5/12 (pow.f64 x 2))
(*.f64 -5/12 (pow.f64 x 2))
(*.f64 -5/12 (pow.f64 x 2))
(*.f64 -5/12 (pow.f64 x 2))
(*.f64 -5/12 (pow.f64 x 2))
(*.f64 -5/12 (pow.f64 x 2))
(*.f64 -5/12 (pow.f64 x 2))
(*.f64 -5/12 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(*.f64 -1/2 x)
(+.f64 (*.f64 -1/2 x) (*.f64 -5/12 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 x) (*.f64 -5/12 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 x) (*.f64 -5/12 (pow.f64 x 2)))
(*.f64 -5/12 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 x) (*.f64 -5/12 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 x) (*.f64 -5/12 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 x) (*.f64 -5/12 (pow.f64 x 2)))
(*.f64 -5/12 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 x) (*.f64 -5/12 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 x) (*.f64 -5/12 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 x) (*.f64 -5/12 (pow.f64 x 2)))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))
(+.f64 0 (*.f64 -5/12 (*.f64 x x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) -5/12) x)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) -5/12) x)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) -5/12) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) -5/12) x))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) -5/12) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -5/12 (*.f64 x x)))) 1)
(pow.f64 (*.f64 -5/12 (*.f64 x x)) 1)
(pow.f64 (cbrt.f64 (*.f64 -5/12 (*.f64 x x))) 3)
(pow.f64 (pow.f64 (*.f64 -5/12 (*.f64 x x)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 -5/12 (*.f64 x x))) 2)
(sqrt.f64 (pow.f64 (*.f64 -5/12 (*.f64 x x)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) -5/12) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -5/12 (*.f64 x x)))))
(cbrt.f64 (pow.f64 (*.f64 -5/12 (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (*.f64 -5/12 (*.f64 x x))))
(exp.f64 (log.f64 (*.f64 -5/12 (*.f64 x x))))
(exp.f64 (*.f64 (log.f64 (*.f64 -5/12 (*.f64 x x))) 1))
(log1p.f64 (expm1.f64 (*.f64 -5/12 (*.f64 x x))))
(+.f64 1 (fma.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x) -1))
(+.f64 1 (*.f64 (fma.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x) -1) 1))
(+.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)) 0)
(+.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1) -1)
(+.f64 0 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)))
(+.f64 -1 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1))
(+.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 x (*.f64 -5/12 (*.f64 x x))))
(+.f64 (*.f64 x (*.f64 -5/12 (*.f64 x x))) (*.f64 x (*.f64 x -1/2)))
(+.f64 (fma.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x) -1) 1)
(+.f64 (*.f64 (*.f64 x (*.f64 -5/12 (*.f64 x x))) 1) (*.f64 (*.f64 x (*.f64 x -1/2)) 1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (fma.f64 x -5/12 -1/2)) x)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (fma.f64 x -5/12 -1/2)) x)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (fma.f64 x -5/12 -1/2)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (fma.f64 x -5/12 -1/2)) x))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (fma.f64 x -5/12 -1/2)) x))))
(-.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1) 1)
(-.f64 (/.f64 (pow.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1) 3) (+.f64 (pow.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1) 2) (+.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)) 2))) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1) 2) (+.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)) 2))))
(-.f64 (/.f64 (pow.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1) 2) (+.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)) 2)) (/.f64 1 (+.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)) 2)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1) 2) (+.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)) 2)) (+.f64 (pow.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)) 2) (+.f64 (pow.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1) 2) -1)))
(/.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1) 2) (+.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)) 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1) 2) (-.f64 1 (*.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1) -1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1) 2) -1) (+.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)) 2))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1) 2) (+.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1) 2) -1)) (neg.f64 (+.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)) 2)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x) -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x) -1) (fma.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x) -1)) (fma.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x) -1))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 -5/12 (*.f64 x x))) 3) (pow.f64 (*.f64 x (*.f64 x -1/2)) 3)) (+.f64 (*.f64 (*.f64 x (*.f64 -5/12 (*.f64 x x))) (*.f64 x (*.f64 -5/12 (*.f64 x x)))) (-.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 x (*.f64 x -1/2))) (*.f64 (*.f64 x (*.f64 -5/12 (*.f64 x x))) (*.f64 x (*.f64 x -1/2))))))
(/.f64 (-.f64 1 (*.f64 (fma.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x) -1) (fma.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x) -1))) (-.f64 1 (fma.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x) -1)))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 -5/12 (*.f64 x x))) (*.f64 x (*.f64 -5/12 (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 x (*.f64 x -1/2)))) (-.f64 (*.f64 x (*.f64 -5/12 (*.f64 x x))) (*.f64 x (*.f64 x -1/2))))
(/.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 -5/12 (*.f64 x x)) 3) (*.f64 (pow.f64 x 3) -1/8))) (+.f64 (pow.f64 (*.f64 -5/12 (*.f64 x x)) 2) (*.f64 (*.f64 x -1/2) (-.f64 (*.f64 x -1/2) (*.f64 -5/12 (*.f64 x x))))))
(/.f64 (*.f64 x (*.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) (*.f64 x (fma.f64 x -5/12 1/2)))) (*.f64 x (fma.f64 x -5/12 1/2)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 -5/12 (*.f64 x x)) 3) (*.f64 (pow.f64 x 3) -1/8)) x) (+.f64 (pow.f64 (*.f64 -5/12 (*.f64 x x)) 2) (*.f64 (*.f64 x -1/2) (-.f64 (*.f64 x -1/2) (*.f64 -5/12 (*.f64 x x))))))
(/.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) (*.f64 x (fma.f64 x -5/12 1/2))) x) (*.f64 x (fma.f64 x -5/12 1/2)))
(pow.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)) 1)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x))) 3)
(pow.f64 (pow.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)) 3) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) (fma.f64 x -5/12 -1/2)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)))))
(log.f64 (*.f64 (exp.f64 (*.f64 x (*.f64 x -1/2))) (exp.f64 (*.f64 x (*.f64 -5/12 (*.f64 x x))))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x))))
(expm1.f64 (*.f64 (log1p.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x))) 1))
(hypot.f64 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) (sqrt.f64 (*.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)) (fma.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x) -1))))
(exp.f64 (log.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x))) 1))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x))))
(fma.f64 x (*.f64 -5/12 (*.f64 x x)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 -5/12 (*.f64 x x)) x (*.f64 x (*.f64 x -1/2)))
(fma.f64 1 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1) -1)
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1) 1 -1)
(fma.f64 (cbrt.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1)) 2) (cbrt.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1)) 2) (*.f64 (cbrt.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1)) 1) -1)
(fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2)))) (hypot.f64 1 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2)))) -1)
(fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2)))) (*.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2)))) 1) -1)
(fma.f64 (+.f64 1 (pow.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)) 3)) (/.f64 1 (+.f64 1 (*.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)) (fma.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x) -1)))) -1)
(fma.f64 (-.f64 1 (pow.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)) 2)) (/.f64 1 (-.f64 1 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)))) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x -5/12 -1/2)))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 -5/12 (*.f64 x x)) 2) (*.f64 x (fma.f64 x -5/12 1/2))) (/.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 x (fma.f64 x -5/12 1/2))))
(*.f64 x (fma.f64 x -5/12 -1/2))
(*.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) 1)
(*.f64 1 (*.f64 x (fma.f64 x -5/12 -1/2)))
(*.f64 (fma.f64 x -5/12 -1/2) x)
(*.f64 (cbrt.f64 (*.f64 x (fma.f64 x -5/12 -1/2))) (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -5/12 -1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -5/12 -1/2))) 2) (cbrt.f64 (*.f64 x (fma.f64 x -5/12 -1/2))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (fma.f64 x -5/12 -1/2)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -5/12 -1/2)) 2) (*.f64 (cbrt.f64 (fma.f64 x -5/12 -1/2)) x))
(*.f64 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) (sqrt.f64 (fma.f64 x -5/12 -1/2)))
(*.f64 (sqrt.f64 (*.f64 x (fma.f64 x -5/12 -1/2))) (sqrt.f64 (*.f64 x (fma.f64 x -5/12 -1/2))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 x -5/12 -1/2)))
(*.f64 (sqrt.f64 (fma.f64 x -5/12 -1/2)) (*.f64 (sqrt.f64 (fma.f64 x -5/12 -1/2)) x))
(*.f64 (+.f64 (pow.f64 (*.f64 -5/12 (*.f64 x x)) 3) (*.f64 (pow.f64 x 3) -1/8)) (/.f64 1 (+.f64 (pow.f64 (*.f64 -5/12 (*.f64 x x)) 2) (*.f64 (*.f64 x -1/2) (-.f64 (*.f64 x -1/2) (*.f64 -5/12 (*.f64 x x)))))))
(*.f64 (*.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) (*.f64 x (fma.f64 x -5/12 1/2))) (/.f64 1 (*.f64 x (fma.f64 x -5/12 1/2))))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (fma.f64 x -5/12 -1/2)) 2)) (cbrt.f64 (fma.f64 x -5/12 -1/2)))
(*.f64 (*.f64 (fma.f64 x -5/12 -1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (fma.f64 x -5/12 -1/2) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 -5/12 (*.f64 x x)) 2) (*.f64 (*.f64 x -1/2) (-.f64 (*.f64 x -1/2) (*.f64 -5/12 (*.f64 x x))))) (+.f64 (pow.f64 (*.f64 -5/12 (*.f64 x x)) 3) (*.f64 (pow.f64 x 3) -1/8))))
(/.f64 1 (/.f64 (*.f64 x (fma.f64 x -5/12 1/2)) (*.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) (*.f64 x (fma.f64 x -5/12 1/2)))))
(/.f64 (+.f64 (pow.f64 (*.f64 -5/12 (*.f64 x x)) 3) (*.f64 (pow.f64 x 3) -1/8)) (+.f64 (pow.f64 (*.f64 -5/12 (*.f64 x x)) 2) (*.f64 (*.f64 x -1/2) (-.f64 (*.f64 x -1/2) (*.f64 -5/12 (*.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 -5/12 (*.f64 x x)) 3) (*.f64 (pow.f64 x 3) -1/8)) (+.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 (pow.f64 (*.f64 -5/12 (*.f64 x x)) 2) (*.f64 x (*.f64 (*.f64 x -5/12) (*.f64 x -1/2))))))
(/.f64 (*.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) (*.f64 x (fma.f64 x -5/12 1/2))) (*.f64 x (fma.f64 x -5/12 1/2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 -5/12 (*.f64 x x)) 3) (*.f64 (pow.f64 x 3) -1/8))) (neg.f64 (+.f64 (pow.f64 (*.f64 -5/12 (*.f64 x x)) 2) (*.f64 (*.f64 x -1/2) (-.f64 (*.f64 x -1/2) (*.f64 -5/12 (*.f64 x x)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) (*.f64 x (fma.f64 x -5/12 1/2)))) (neg.f64 (*.f64 x (fma.f64 x -5/12 1/2))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (*.f64 -5/12 (*.f64 x x)) 2)) (-.f64 (*.f64 x -1/2) (*.f64 -5/12 (*.f64 x x))))
(pow.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -5/12 -1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -5/12 -1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x -5/12 -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x -5/12 -1/2)))))
(log.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 x) -5/12) x) (+.f64 1 (expm1.f64 (*.f64 x -1/2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -5/12 (*.f64 x x)))) (pow.f64 (exp.f64 x) -1/2)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -5/12 (*.f64 x x)))) (+.f64 1 (expm1.f64 (*.f64 x -1/2)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) -1/2) (+.f64 1 (expm1.f64 (*.f64 -5/12 (*.f64 x x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x -1/2))) (pow.f64 (pow.f64 (exp.f64 x) -5/12) x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x -1/2))) (+.f64 1 (expm1.f64 (*.f64 -5/12 (*.f64 x x))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x -5/12 -1/2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x -5/12 -1/2) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -5/12 -1/2))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x -5/12 -1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x -5/12 -1/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x -5/12 -1/2))))
(fma.f64 x (*.f64 x -5/12) (*.f64 x -1/2))
(fma.f64 x -1/2 (*.f64 -5/12 (*.f64 x x)))
(fma.f64 (*.f64 x -5/12) x (*.f64 x -1/2))
(fma.f64 -1/2 x (*.f64 -5/12 (*.f64 x x)))
(fma.f64 1 (*.f64 -5/12 (*.f64 x x)) (*.f64 x -1/2))
(fma.f64 1 (*.f64 x -1/2) (*.f64 -5/12 (*.f64 x x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -5/12 (*.f64 x x))) 2) (cbrt.f64 (*.f64 -5/12 (*.f64 x x))) (*.f64 x -1/2))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/4)) (cbrt.f64 (*.f64 x -1/2)) (*.f64 -5/12 (*.f64 x x)))
(fma.f64 (sqrt.f64 (*.f64 -5/12 (*.f64 x x))) (sqrt.f64 (*.f64 -5/12 (*.f64 x x))) (*.f64 x -1/2))
(fma.f64 (sqrt.f64 (*.f64 x -1/2)) (sqrt.f64 (*.f64 x -1/2)) (*.f64 -5/12 (*.f64 x x)))
(+.f64 1 (fma.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x) -1))
(+.f64 1 (*.f64 (fma.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x) -1) 1))
(+.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)) 0)
(+.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1) -1)
(+.f64 0 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)))
(+.f64 -1 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1))
(+.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 x (*.f64 -5/12 (*.f64 x x))))
(+.f64 (*.f64 x (*.f64 -5/12 (*.f64 x x))) (*.f64 x (*.f64 x -1/2)))
(+.f64 (fma.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x) -1) 1)
(+.f64 (*.f64 (*.f64 x (*.f64 -5/12 (*.f64 x x))) 1) (*.f64 (*.f64 x (*.f64 x -1/2)) 1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (fma.f64 x -5/12 -1/2)) x)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (fma.f64 x -5/12 -1/2)) x)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (fma.f64 x -5/12 -1/2)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (fma.f64 x -5/12 -1/2)) x))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (fma.f64 x -5/12 -1/2)) x))))
(*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))
(*.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) x)
(*.f64 1 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)))
(*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x))
(*.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)) 1)
(*.f64 (cbrt.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x))) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x))) 2) (cbrt.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -5/12 -1/2))) 2) (*.f64 (cbrt.f64 (*.f64 x (fma.f64 x -5/12 -1/2))) x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x (fma.f64 x -5/12 -1/2))))
(*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))
(*.f64 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))))
(*.f64 (sqrt.f64 (*.f64 x (fma.f64 x -5/12 -1/2))) (*.f64 (sqrt.f64 (*.f64 x (fma.f64 x -5/12 -1/2))) x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x (fma.f64 x -5/12 -1/2))))
(*.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1) 2) (+.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)) 2))))
(*.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1) 2) -1) (/.f64 1 (+.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)) 2)))
(*.f64 (+.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2)))) 1) (-.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2)))) 1))
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -5/12 -1/2))) 2)) (cbrt.f64 (*.f64 x (fma.f64 x -5/12 -1/2))))
(*.f64 (*.f64 x (sqrt.f64 (*.f64 x (fma.f64 x -5/12 -1/2)))) (sqrt.f64 (*.f64 x (fma.f64 x -5/12 -1/2))))
(*.f64 (*.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 (*.f64 x x) 1) (fma.f64 x -5/12 -1/2))
(*.f64 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (fma.f64 x -5/12 -1/2)) 2)) (cbrt.f64 (fma.f64 x -5/12 -1/2)))
(*.f64 (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x -5/12 -1/2))) (sqrt.f64 (fma.f64 x -5/12 -1/2)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1) 2) (+.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)) 2)) (+.f64 (pow.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)) 2) (+.f64 (pow.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1) 2) -1)))
(/.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1) 2) (+.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)) 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1) 2) (-.f64 1 (*.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1) -1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1) 2) -1) (+.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)) 2))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1) 2) (+.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1) 2) -1)) (neg.f64 (+.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)) 2)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x) -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x) -1) (fma.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x) -1)) (fma.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x) -1))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 -5/12 (*.f64 x x))) 3) (pow.f64 (*.f64 x (*.f64 x -1/2)) 3)) (+.f64 (*.f64 (*.f64 x (*.f64 -5/12 (*.f64 x x))) (*.f64 x (*.f64 -5/12 (*.f64 x x)))) (-.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 x (*.f64 x -1/2))) (*.f64 (*.f64 x (*.f64 -5/12 (*.f64 x x))) (*.f64 x (*.f64 x -1/2))))))
(/.f64 (-.f64 1 (*.f64 (fma.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x) -1) (fma.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x) -1))) (-.f64 1 (fma.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x) -1)))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 -5/12 (*.f64 x x))) (*.f64 x (*.f64 -5/12 (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 x (*.f64 x -1/2)))) (-.f64 (*.f64 x (*.f64 -5/12 (*.f64 x x))) (*.f64 x (*.f64 x -1/2))))
(/.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 -5/12 (*.f64 x x)) 3) (*.f64 (pow.f64 x 3) -1/8))) (+.f64 (pow.f64 (*.f64 -5/12 (*.f64 x x)) 2) (*.f64 (*.f64 x -1/2) (-.f64 (*.f64 x -1/2) (*.f64 -5/12 (*.f64 x x))))))
(/.f64 (*.f64 x (*.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) (*.f64 x (fma.f64 x -5/12 1/2)))) (*.f64 x (fma.f64 x -5/12 1/2)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 -5/12 (*.f64 x x)) 3) (*.f64 (pow.f64 x 3) -1/8)) x) (+.f64 (pow.f64 (*.f64 -5/12 (*.f64 x x)) 2) (*.f64 (*.f64 x -1/2) (-.f64 (*.f64 x -1/2) (*.f64 -5/12 (*.f64 x x))))))
(/.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) (*.f64 x (fma.f64 x -5/12 1/2))) x) (*.f64 x (fma.f64 x -5/12 1/2)))
(pow.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)) 1)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x))) 3)
(pow.f64 (pow.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)) 3) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) (fma.f64 x -5/12 -1/2)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)))))
(log.f64 (*.f64 (exp.f64 (*.f64 x (*.f64 x -1/2))) (exp.f64 (*.f64 x (*.f64 -5/12 (*.f64 x x))))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x))))
(expm1.f64 (*.f64 (log1p.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x))) 1))
(hypot.f64 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) (sqrt.f64 (*.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)) (fma.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x) -1))))
(exp.f64 (log.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x))) 1))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x))))
(fma.f64 x (*.f64 -5/12 (*.f64 x x)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 -5/12 (*.f64 x x)) x (*.f64 x (*.f64 x -1/2)))
(fma.f64 1 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1) -1)
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1) 1 -1)
(fma.f64 (cbrt.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1)) 2) (cbrt.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1)) 2) (*.f64 (cbrt.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1)) 1) -1)
(fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2)))) (hypot.f64 1 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2)))) -1)
(fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2)))) (*.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2)))) 1) -1)
(fma.f64 (+.f64 1 (pow.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)) 3)) (/.f64 1 (+.f64 1 (*.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)) (fma.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x) -1)))) -1)
(fma.f64 (-.f64 1 (pow.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)) 2)) (/.f64 1 (-.f64 1 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)))) -1)
Outputs
(*.f64 -5/12 (pow.f64 x 2))
(*.f64 -5/12 (*.f64 x x))
(*.f64 -5/12 (pow.f64 x 2))
(*.f64 -5/12 (*.f64 x x))
(*.f64 -5/12 (pow.f64 x 2))
(*.f64 -5/12 (*.f64 x x))
(*.f64 -5/12 (pow.f64 x 2))
(*.f64 -5/12 (*.f64 x x))
(*.f64 -5/12 (pow.f64 x 2))
(*.f64 -5/12 (*.f64 x x))
(*.f64 -5/12 (pow.f64 x 2))
(*.f64 -5/12 (*.f64 x x))
(*.f64 -5/12 (pow.f64 x 2))
(*.f64 -5/12 (*.f64 x x))
(*.f64 -5/12 (pow.f64 x 2))
(*.f64 -5/12 (*.f64 x x))
(*.f64 -5/12 (pow.f64 x 2))
(*.f64 -5/12 (*.f64 x x))
(*.f64 -5/12 (pow.f64 x 2))
(*.f64 -5/12 (*.f64 x x))
(*.f64 -5/12 (pow.f64 x 2))
(*.f64 -5/12 (*.f64 x x))
(*.f64 -5/12 (pow.f64 x 2))
(*.f64 -5/12 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
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(fma.f64 -1/2 (*.f64 x x) (*.f64 -5/12 (pow.f64 x 3)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 -5/12 (*.f64 x x)) 3) (*.f64 (pow.f64 x 3) -1/8)) x) (+.f64 (pow.f64 (*.f64 -5/12 (*.f64 x x)) 2) (*.f64 (*.f64 x -1/2) (-.f64 (*.f64 x -1/2) (*.f64 -5/12 (*.f64 x x))))))
(/.f64 x (/.f64 (+.f64 (pow.f64 (*.f64 -5/12 (*.f64 x x)) 2) (*.f64 x (*.f64 -1/2 (+.f64 (*.f64 x -1/2) (*.f64 5/12 (*.f64 x x)))))) (+.f64 (*.f64 -125/1728 (pow.f64 (*.f64 x x) 3)) (*.f64 (pow.f64 x 3) -1/8))))
(*.f64 (/.f64 (fma.f64 (pow.f64 x 3) -1/8 (*.f64 -125/1728 (pow.f64 (*.f64 x x) 3))) (fma.f64 x (*.f64 -1/2 (*.f64 x (-.f64 -1/2 (*.f64 -5/12 x)))) (pow.f64 (*.f64 -5/12 (*.f64 x x)) 2))) x)
(*.f64 (/.f64 (fma.f64 (pow.f64 x 3) -1/8 (*.f64 -125/1728 (pow.f64 x 6))) (fma.f64 x (*.f64 -1/2 (*.f64 x (+.f64 -1/2 (*.f64 5/12 x)))) (*.f64 (pow.f64 x 4) 25/144))) x)
(/.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) (*.f64 x (fma.f64 x -5/12 1/2))) x) (*.f64 x (fma.f64 x -5/12 1/2)))
(fma.f64 -1/2 (*.f64 x x) (*.f64 -5/12 (pow.f64 x 3)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(pow.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)) 1)
(fma.f64 -1/2 (*.f64 x x) (*.f64 -5/12 (pow.f64 x 3)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x))) 3)
(fma.f64 -1/2 (*.f64 x x) (*.f64 -5/12 (pow.f64 x 3)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(pow.f64 (pow.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)) 3) 1/3)
(fma.f64 -1/2 (*.f64 x x) (*.f64 -5/12 (pow.f64 x 3)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) 2)
(fma.f64 -1/2 (*.f64 x x) (*.f64 -5/12 (pow.f64 x 3)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)) 2))
(fma.f64 -1/2 (*.f64 x x) (*.f64 -5/12 (pow.f64 x 3)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) (fma.f64 x -5/12 -1/2)) x))
(fma.f64 -1/2 (*.f64 x x) (*.f64 -5/12 (pow.f64 x 3)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)))))
(fma.f64 -1/2 (*.f64 x x) (*.f64 -5/12 (pow.f64 x 3)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(log.f64 (*.f64 (exp.f64 (*.f64 x (*.f64 x -1/2))) (exp.f64 (*.f64 x (*.f64 -5/12 (*.f64 x x))))))
(fma.f64 -1/2 (*.f64 x x) (*.f64 -5/12 (pow.f64 x 3)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)) 3))
(fma.f64 -1/2 (*.f64 x x) (*.f64 -5/12 (pow.f64 x 3)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x))))
(fma.f64 -1/2 (*.f64 x x) (*.f64 -5/12 (pow.f64 x 3)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(expm1.f64 (*.f64 (log1p.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x))) 1))
(fma.f64 -1/2 (*.f64 x x) (*.f64 -5/12 (pow.f64 x 3)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(hypot.f64 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) (sqrt.f64 (*.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)) (fma.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x) -1))))
(hypot.f64 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) (sqrt.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 (*.f64 x x) (fma.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x) -1)))))
(hypot.f64 (*.f64 x (sqrt.f64 (fma.f64 -5/12 x -1/2))) (sqrt.f64 (*.f64 x (*.f64 (*.f64 x (fma.f64 -5/12 x -1/2)) (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) -1)))))
(exp.f64 (log.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x))))
(fma.f64 -1/2 (*.f64 x x) (*.f64 -5/12 (pow.f64 x 3)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x))) 1))
(fma.f64 -1/2 (*.f64 x x) (*.f64 -5/12 (pow.f64 x 3)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x))))
(fma.f64 -1/2 (*.f64 x x) (*.f64 -5/12 (pow.f64 x 3)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(fma.f64 x (*.f64 -5/12 (*.f64 x x)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 -1/2 (*.f64 x x) (*.f64 -5/12 (pow.f64 x 3)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(fma.f64 (*.f64 -5/12 (*.f64 x x)) x (*.f64 x (*.f64 x -1/2)))
(fma.f64 -1/2 (*.f64 x x) (*.f64 -5/12 (pow.f64 x 3)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(fma.f64 1 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1) -1)
(fma.f64 -1/2 (*.f64 x x) (*.f64 -5/12 (pow.f64 x 3)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(fma.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1) 1 -1)
(fma.f64 -1/2 (*.f64 x x) (*.f64 -5/12 (pow.f64 x 3)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(fma.f64 (cbrt.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1)) 2) -1)
(fma.f64 -1/2 (*.f64 x x) (*.f64 -5/12 (pow.f64 x 3)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1)) 2) (cbrt.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1)) -1)
(fma.f64 -1/2 (*.f64 x x) (*.f64 -5/12 (pow.f64 x 3)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1)) 2) (*.f64 (cbrt.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) 1)) 1) -1)
(fma.f64 -1/2 (*.f64 x x) (*.f64 -5/12 (pow.f64 x 3)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2)))) (hypot.f64 1 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2)))) -1)
(fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 (fma.f64 -5/12 x -1/2)))) (hypot.f64 1 (*.f64 x (sqrt.f64 (fma.f64 -5/12 x -1/2)))) -1)
(fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2)))) (*.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2)))) 1) -1)
(fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2)))) (hypot.f64 1 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2)))) -1)
(fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 (fma.f64 -5/12 x -1/2)))) (hypot.f64 1 (*.f64 x (sqrt.f64 (fma.f64 -5/12 x -1/2)))) -1)
(fma.f64 (+.f64 1 (pow.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)) 3)) (/.f64 1 (+.f64 1 (*.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)) (fma.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x) -1)))) -1)
(fma.f64 (+.f64 1 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) 3)) (/.f64 1 (+.f64 1 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 (*.f64 x x) (fma.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x) -1))))) -1)
(fma.f64 (+.f64 1 (pow.f64 (*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2))) 3)) (/.f64 1 (fma.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) -1) (*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2))) 1)) -1)
(+.f64 -1 (/.f64 (fma.f64 (pow.f64 (fma.f64 -5/12 x -1/2) 3) (pow.f64 x 6) 1) (fma.f64 (fma.f64 -5/12 x -1/2) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) -1)) 1)))
(fma.f64 (-.f64 1 (pow.f64 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)) 2)) (/.f64 1 (-.f64 1 (*.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x)))) -1)
(fma.f64 (-.f64 1 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))) 2)) (/.f64 1 (-.f64 1 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2))))) -1)
(fma.f64 (-.f64 1 (pow.f64 (*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2))) 2)) (/.f64 1 (-.f64 1 (*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2))))) -1)
(+.f64 -1 (/.f64 (-.f64 1 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 -5/12 x -1/2))) 4)) (neg.f64 (fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) -1))))

eval139.0ms (1.2%)

Compiler

Compiled 6429 to 4507 computations (29.9% saved)

prune50.0ms (0.4%)

Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New2761277
Fresh011
Picked112
Done055
Total2778285
Accuracy
100.0%
Counts
285 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
5.6%
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
99.7%
(-.f64 -1 (-.f64 x (-.f64 (+.f64 1 (*.f64 x (+.f64 (*.f64 (*.f64 x -5/12) x) (*.f64 -1/2 x)))) 1)))
99.7%
(-.f64 -1 (-.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x -5/12) x) (*.f64 -1/2 x)))))
99.2%
(-.f64 -1 x)
99.7%
(+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -5/12))))
99.5%
(+.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))
97.6%
-1
Compiler

Compiled 187 to 135 computations (27.8% saved)

regimes16.0ms (0.1%)

Counts
10 → 1
Calls
Call 1
Inputs
-1
(-.f64 -1 x)
(+.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))
(+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -5/12))))
(-.f64 -1 (-.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x -5/12) x) (*.f64 -1/2 x)))))
(-.f64 -1 (-.f64 x (-.f64 (+.f64 1 (*.f64 x (+.f64 (*.f64 (*.f64 x -5/12) x) (*.f64 -1/2 x)))) 1)))
(-.f64 -1 (-.f64 x (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))))
(-.f64 -1 (-.f64 x (-.f64 (+.f64 1 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))) 1)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
Outputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
Calls

2 calls:

6.0ms
x
6.0ms
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
Compiler

Compiled 116 to 83 computations (28.4% saved)

regimes8.0ms (0.1%)

Counts
8 → 1
Calls
Call 1
Inputs
-1
(-.f64 -1 x)
(+.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))
(+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -5/12))))
(-.f64 -1 (-.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x -5/12) x) (*.f64 -1/2 x)))))
(-.f64 -1 (-.f64 x (-.f64 (+.f64 1 (*.f64 x (+.f64 (*.f64 (*.f64 x -5/12) x) (*.f64 -1/2 x)))) 1)))
(-.f64 -1 (-.f64 x (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))))
(-.f64 -1 (-.f64 x (-.f64 (+.f64 1 (*.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)))) 1)))
Outputs
(-.f64 -1 (-.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x -5/12) x) (*.f64 -1/2 x)))))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
99.7%1x
Compiler

Compiled 91 to 64 computations (29.7% saved)

regimes6.0ms (0.1%)

Counts
4 → 1
Calls
Call 1
Inputs
-1
(-.f64 -1 x)
(+.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))
(+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -5/12))))
Outputs
(+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -5/12))))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
99.7%1x
Compiler

Compiled 29 to 20 computations (31% saved)

regimes4.0ms (0%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.5%1x
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes4.0ms (0%)

Counts
2 → 1
Calls
Call 1
Inputs
-1
(-.f64 -1 x)
Outputs
(-.f64 -1 x)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.2%1x
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
-1
Outputs
-1
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
97.6%1x
Compiler

Compiled 4 to 3 computations (25% saved)

simplify26.0ms (0.2%)

Algorithm
egg-herbie
Rules
150×distribute-lft-neg-in
104×unsub-neg
78×neg-mul-1
70×neg-sub0
64×cancel-sign-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026132
146132
262132
388132
4139132
5219132
6302132
7371132
8419132
9449132
10463132
11468132
12469132
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(-.f64 -1 (-.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x -5/12) x) (*.f64 -1/2 x)))))
(+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -5/12))))
(+.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))
(-.f64 -1 x)
-1
Outputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(-.f64 -1 (-.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x -5/12) x) (*.f64 -1/2 x)))))
(-.f64 -1 (-.f64 x (*.f64 x (+.f64 (*.f64 x (*.f64 x -5/12)) (*.f64 x -1/2)))))
(+.f64 -1 (-.f64 (*.f64 x (+.f64 (*.f64 x (*.f64 x -5/12)) (*.f64 x -1/2))) x))
(+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -5/12))))
(+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (+.f64 (*.f64 x -5/12) -1/2)))
(+.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))
(-.f64 -1 x)
-1
Compiler

Compiled 53 to 38 computations (28.3% saved)

soundness1.0s (9.1%)

Rules
4580×fma-def
3900×associate-+r+
3404×associate-+l+
1666×pow1
1538×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01667
12857
24357
37457
411357
515757
618557
721057
824157
933857
1040457
1147857
1252357
1353157
1453357
1575557
16101657
17114957
18131357
19131957
20131957
21214357
22239857
23264657
24277957
25279457
26279457
27454857
28454857
29454857
30454857
31454857
32775157
33780057
34798257
02756804
18136072
227605726
02756804
18136072
227605726
03887273
19715953
232285901
01269
128157
2403857
0936
118236
2207436
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 431 to 320 computations (25.8% saved)

end0.0ms (0%)

preprocess67.0ms (0.6%)

Compiler

Compiled 150 to 108 computations (28% saved)

Profiling

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