qlog (example 3.10)

Time bar (total: 7.8s)

analyze422.0ms (5.4%)

Algorithm
1×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)

sample4.8s (61.8%)

Results
3.2s4119×body1024valid
723.0ms2025×body512valid
564.0ms442×body2048valid
272.0ms1670×body256valid
Bogosity

preprocess335.0ms (4.3%)

Algorithm
1×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
01648
12838
24338
37438
411338
515738
618538
721038
824138
933838
1040438
1147838
1252338
1353138
1453338
1575538
16101638
17114938
18131338
19131938
20131938
21214338
22239838
23264638
24277938
25279438
26279438
27454838
28454838
29454838
30454838
31454838
32775138
33780038
34798238
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.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 (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 11 to 9 computations (18.2% saved)

simplify5.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
16×sub-neg
12×fma-def
10×+-commutative
8×associate-+l-
6×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01021
11619
22119
32819
43619
54619
66019
77619
88019
Stop Event
1×saturated
Counts
1 → 3
Calls
Call 1
Inputs
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
Outputs
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log.f64 (-.f64 1 x)) (log1p.f64 x))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

eval1.0ms (0%)

Compiler

Compiled 23 to 16 computations (30.4% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New123
Fresh011
Picked000
Done000
Total134
Accurracy
100.0%
Counts
4 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶4.1%
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
▶100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶4.1%
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
Compiler

Compiled 34 to 26 computations (23.5% saved)

localize295.0ms (3.8%)

Local Accuracy

Found 4 expressions with local accuracy:

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)))
✓7.8%
(log.f64 (-.f64 1 x))
✓7.7%
(log.f64 (+.f64 1 x))
Compiler

Compiled 41 to 24 computations (41.5% saved)

series11.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
4.0ms
x
@0
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 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)))
1.0ms
x
@-inf
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
0.0ms
x
@inf
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

rewrite187.0ms (2.4%)

Algorithm
1×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
01448
129040
2310640
Stop Event
1×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 (hypot.f64 1 (sqrt.f64 x))) (log.f64 (hypot.f64 1 (sqrt.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (log.f64 (cbrt.f64 (+.f64 1 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 (hypot.f64 1 (sqrt.f64 x))) (log.f64 (hypot.f64 1 (sqrt.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (log.f64 (cbrt.f64 (+.f64 1 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))))

simplify281.0ms (3.6%)

Algorithm
1×egg-herbie
Rules
938×associate-*r*
856×associate-+l+
740×associate-+r+
704×associate--r+
498×associate-+l-
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02736618
18006024
227125724
Stop Event
1×node limit
Counts
150 → 179
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) x)))
(*.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 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(*.f64 -1 x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 -1 x)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (*.f64 -1/4 (pow.f64 x 4)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.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 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))) (/.f64 2 (*.f64 (log.f64 (/.f64 1 x)) x))) (/.f64 (log.f64 -1) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 (log.f64 (/.f64 1 x)) x))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (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 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (+.f64 (/.f64 (log.f64 -1) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x)) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2)))))))
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(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
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) x))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) x)))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/4 (pow.f64 x 4) x)))
(*.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 (/.f64 1/2 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 x) (/.f64 1/3 (pow.f64 x 3))) (+.f64 (log.f64 x) (/.f64 -1/2 (*.f64 x x))))
(+.f64 (+.f64 (log.f64 x) (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x))) (/.f64 1/3 (pow.f64 x 3)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))
(-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x)))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1 x) (log.f64 -1)))
(-.f64 (+.f64 (/.f64 1 x) (log.f64 -1)) (log.f64 (/.f64 -1 x)))
(-.f64 (log.f64 -1) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1 x) (log.f64 -1))) (/.f64 1/2 (*.f64 x x)))
(+.f64 (-.f64 (+.f64 (/.f64 1 x) (log.f64 -1)) (log.f64 (/.f64 -1 x))) (/.f64 -1/2 (*.f64 x x)))
(+.f64 (-.f64 (log.f64 -1) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1 x))) (/.f64 -1/2 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))) (/.f64 1/2 (*.f64 x x)))
(+.f64 (-.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (log.f64 -1))) (log.f64 (/.f64 -1 x))) (/.f64 -1/2 (*.f64 x x)))
(+.f64 (-.f64 (log.f64 -1) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1 x))) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 (/.f64 1/2 x) x)))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(fma.f64 -1/2 (*.f64 x x) (neg.f64 x))
(-.f64 (*.f64 x (*.f64 x -1/2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 -1 x)))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)))
(fma.f64 -1/2 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x 3) -1/3) x))
(-.f64 (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x -1/3))) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (*.f64 -1/4 (pow.f64 x 4)))))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -1 x (*.f64 -1/4 (pow.f64 x 4)))))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 (pow.f64 x 3) -1/3 (-.f64 (*.f64 -1/4 (pow.f64 x 4)) x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1))
(fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1))
(+.f64 (log.f64 x) (log.f64 -1))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (/.f64 1 x))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (/.f64 1 x))
(+.f64 (log.f64 x) (+.f64 (log.f64 -1) (/.f64 -1 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (+.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 (log.f64 x) (-.f64 (log.f64 -1) (+.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))))
(-.f64 (+.f64 (log.f64 x) (log.f64 -1)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/3 (pow.f64 x 3)))))
(+.f64 (+.f64 (log.f64 x) (log.f64 -1)) (-.f64 (/.f64 -1 x) (+.f64 (/.f64 (/.f64 1/2 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 x)) (/.f64 1/2 (*.f64 x x)))
(-.f64 (-.f64 (/.f64 -1 x) (/.f64 (/.f64 1/2 x) 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 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))))
(-.f64 (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 -1 x)) (/.f64 1/2 (*.f64 x x))) (/.f64 1/3 (pow.f64 x 3)))
(-.f64 (-.f64 (/.f64 -1 x) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 1/3 (pow.f64 x 3))))
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(fma.f64 x -1 -1)
(-.f64 -1 x)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 -1/2 (*.f64 x x) (fma.f64 x -1 -1))
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x (*.f64 (pow.f64 x 3) -5/12))) -1)
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x 3) -5/12) x)))
(+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (+.f64 (*.f64 x -5/12) -1/2)))
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x))))
(neg.f64 (/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (neg.f64 (log.f64 x))))
(neg.f64 (/.f64 (+.f64 (log.f64 x) (log.f64 -1)) (neg.f64 (log.f64 x))))
(/.f64 (neg.f64 (+.f64 (log.f64 x) (log.f64 -1))) (neg.f64 (log.f64 x)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))) (/.f64 2 (*.f64 (log.f64 (/.f64 1 x)) x))) (/.f64 (log.f64 -1) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x)))
(-.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (neg.f64 (log.f64 x))) (/.f64 2 (*.f64 x (neg.f64 (log.f64 x))))) (/.f64 (log.f64 -1) (*.f64 x (pow.f64 (neg.f64 (log.f64 x)) 2))))
(-.f64 (-.f64 (/.f64 2 (*.f64 x (neg.f64 (log.f64 x)))) (/.f64 (+.f64 (log.f64 x) (log.f64 -1)) (neg.f64 (log.f64 x)))) (/.f64 (log.f64 -1) (*.f64 x (*.f64 (log.f64 x) (log.f64 x)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 (log.f64 (/.f64 1 x)) x))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (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 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (+.f64 (/.f64 (log.f64 -1) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x)) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2)))))))
(-.f64 (+.f64 (/.f64 2 (*.f64 x (neg.f64 (log.f64 x)))) (+.f64 (neg.f64 (/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (neg.f64 (log.f64 x)))) (/.f64 1/2 (*.f64 (*.f64 x x) (neg.f64 (log.f64 x)))))) (+.f64 (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)))) (/.f64 (log.f64 -1) (*.f64 x (pow.f64 (neg.f64 (log.f64 x)) 2)))) (*.f64 -1/2 (/.f64 (/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (pow.f64 (neg.f64 (log.f64 x)) 2)) (*.f64 x x)))))
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(*.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 (cbrt.f64 (pow.f64 (log1p.f64 x) 2))) (/.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))))
(/.f64 (/.f64 (log1p.f64 x) (cbrt.f64 (pow.f64 (log1p.f64 x) 2))) (cbrt.f64 (log1p.f64 x)))
(/.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 (log1p.f64 x)) (/.f64 (log1p.f64 x) (cbrt.f64 (pow.f64 (log1p.f64 x) 2))))
(*.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 (log1p.f64 x)) (/.f64 (log1p.f64 x) (cbrt.f64 (pow.f64 (log1p.f64 x) 2))))
(*.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 (log1p.f64 x) (cbrt.f64 (pow.f64 (log1p.f64 x) 2))) (cbrt.f64 (log1p.f64 x)))
(/.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 (log1p.f64 x)) (/.f64 (log1p.f64 x) (cbrt.f64 (pow.f64 (log1p.f64 x) 2))))
(*.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 (cbrt.f64 (pow.f64 (log1p.f64 x) 2))) (/.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))))
(/.f64 (/.f64 (log1p.f64 x) (cbrt.f64 (pow.f64 (log1p.f64 x) 2))) (cbrt.f64 (log1p.f64 x)))
(/.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 (log1p.f64 x)) (/.f64 (log1p.f64 x) (cbrt.f64 (pow.f64 (log1p.f64 x) 2))))
(*.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

eval103.0ms (1.3%)

Compiler

Compiled 5011 to 3581 computations (28.5% saved)

prune28.0ms (0.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1763179
Fresh000
Picked112
Done000
Total1774181
Accurracy
100.0%
Counts
181 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶99.7%
(-.f64 -1 x)
▶99.9%
(+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (+.f64 (*.f64 x -5/12) -1/2)))
98.5%
-1
✓100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶99.7%
(-.f64 -1 x)
▶99.9%
(+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (+.f64 (*.f64 x -5/12) -1/2)))
98.5%
-1
Compiler

Compiled 54 to 40 computations (25.9% saved)

localize65.0ms (0.8%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiled 47 to 30 computations (36.2% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite73.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
916×log-prod
778×prod-exp
682×exp-prod
662×prod-diff
638×pow-prod-down
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0928
120228
2259928
Stop Event
1×node limit
Counts
2 → 97
Calls
Call 1
Inputs
(*.f64 x -5/12)
(*.f64 (*.f64 x x) (+.f64 (*.f64 x -5/12) -1/2))
Outputs
(+.f64 0 (*.f64 x -5/12))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -5/12) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -5/12) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -5/12) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -5/12) x))))
(-.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 (*.f64 x x) 25/144) 1/2)
(pow.f64 (*.f64 (pow.f64 x 3) -125/1728) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x -5/12)) 2)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 x -5/12)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x -5/12))) 2)) (cbrt.f64 (log.f64 (*.f64 x -5/12))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x -5/12)))) (sqrt.f64 (log.f64 (*.f64 x -5/12))))
(sqrt.f64 (*.f64 (*.f64 x x) 25/144))
(log.f64 (pow.f64 (exp.f64 -5/12) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -5/12))))
(cbrt.f64 (*.f64 (pow.f64 x 3) -125/1728))
(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 -5/12 (pow.f64 x 3)) (*.f64 x (*.f64 x -1/2)))
(+.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 -5/12 (pow.f64 x 3)))
(+.f64 0 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)))
(+.f64 (*.f64 (*.f64 -5/12 (pow.f64 x 3)) 1) (*.f64 (*.f64 x (*.f64 x -1/2)) 1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) (fma.f64 x -5/12 -1/2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) (fma.f64 x -5/12 -1/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) (fma.f64 x -5/12 -1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) (fma.f64 x -5/12 -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 -5/12 (pow.f64 x 3)) 3) (pow.f64 (*.f64 x (*.f64 x -1/2)) 3)) (+.f64 (pow.f64 (*.f64 -5/12 (pow.f64 x 3)) 2) (-.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (*.f64 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 x (*.f64 x -1/2))))))
(/.f64 (-.f64 (pow.f64 (*.f64 -5/12 (pow.f64 x 3)) 2) (pow.f64 (*.f64 x (*.f64 x -1/2)) 2)) (-.f64 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 x (*.f64 x -1/2))))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (pow.f64 x 3) -125/1728 -1/8)) (-.f64 (fma.f64 (*.f64 x x) 25/144 1/4) (*.f64 x 5/24)))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) 25/144 -1/4)) (fma.f64 x -5/12 1/2))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 3) -125/1728 -1/8) (*.f64 x x)) (-.f64 (fma.f64 (*.f64 x x) 25/144 1/4) (*.f64 x 5/24)))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) 25/144 -1/4) (*.f64 x x)) (fma.f64 x -5/12 1/2))
(pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) 4) 1/2)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) 6) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) 2)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)))) 2)) (cbrt.f64 (log.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))))) (sqrt.f64 (log.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)))))
(sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) 4))
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) (fma.f64 x -5/12 -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)))))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) 6))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))))
(exp.f64 (log.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2)))) 2))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (*.f64 x (fma.f64 x -5/12 -1/2)))))
(exp.f64 (+.f64 (*.f64 2 (log.f64 x)) (*.f64 (log.f64 (fma.f64 x -5/12 -1/2)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 2) (log.f64 (fma.f64 x -5/12 -1/2))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 2) (*.f64 (log.f64 (fma.f64 x -5/12 -1/2)) 1)))
(exp.f64 (+.f64 (*.f64 (*.f64 2 (log.f64 x)) 1) (log.f64 (fma.f64 x -5/12 -1/2))))
(exp.f64 (+.f64 (*.f64 (*.f64 2 (log.f64 x)) 1) (*.f64 (log.f64 (fma.f64 x -5/12 -1/2)) 1)))
(exp.f64 (+.f64 (log.f64 (fma.f64 x -5/12 -1/2)) (*.f64 (log.f64 x) 2)))
(exp.f64 (+.f64 (log.f64 (fma.f64 x -5/12 -1/2)) (*.f64 (*.f64 2 (log.f64 x)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x -5/12 -1/2)) 1) (*.f64 2 (log.f64 x))))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x -5/12 -1/2)) 1) (*.f64 (log.f64 x) 2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x -5/12 -1/2)) 1) (*.f64 (*.f64 2 (log.f64 x)) 1)))
(exp.f64 (+.f64 (log.f64 (*.f64 x (fma.f64 x -5/12 -1/2))) (*.f64 (log.f64 x) 1)))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x 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 -5/12 (pow.f64 x 3)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 1 (*.f64 x (*.f64 x -1/2)) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -5/12)) 2) (*.f64 (cbrt.f64 (*.f64 x -5/12)) (*.f64 x x)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x -5/12)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3) -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 (*.f64 -5/12 (pow.f64 x 3)) 1 (*.f64 (*.f64 x (*.f64 x -1/2)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -5/12 (pow.f64 x 3))) 2) (cbrt.f64 (*.f64 -5/12 (pow.f64 x 3))) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) 2) (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (*.f64 -5/12 (pow.f64 x 3)))
(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 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 (*.f64 x -5/12) (*.f64 (cbrt.f64 x) x)) (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 (pow.f64 (*.f64 x (cbrt.f64 (*.f64 x -5/12))) 2) (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)))
(fma.f64 (*.f64 -1/2 (*.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) (*.f64 -5/12 (pow.f64 x 3)))

simplify98.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
1146×fma-def
658×fma-neg
520×*-commutative
502×sqr-pow
378×prod-exp
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02613037
16222551
215782513
352932513
Stop Event
1×node limit
Counts
121 → 133
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)))
(+.f64 0 (*.f64 x -5/12))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -5/12) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -5/12) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -5/12) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -5/12) x))))
(-.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 (*.f64 x x) 25/144) 1/2)
(pow.f64 (*.f64 (pow.f64 x 3) -125/1728) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x -5/12)) 2)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 x -5/12)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x -5/12))) 2)) (cbrt.f64 (log.f64 (*.f64 x -5/12))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x -5/12)))) (sqrt.f64 (log.f64 (*.f64 x -5/12))))
(sqrt.f64 (*.f64 (*.f64 x x) 25/144))
(log.f64 (pow.f64 (exp.f64 -5/12) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -5/12))))
(cbrt.f64 (*.f64 (pow.f64 x 3) -125/1728))
(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 -5/12 (pow.f64 x 3)) (*.f64 x (*.f64 x -1/2)))
(+.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 -5/12 (pow.f64 x 3)))
(+.f64 0 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)))
(+.f64 (*.f64 (*.f64 -5/12 (pow.f64 x 3)) 1) (*.f64 (*.f64 x (*.f64 x -1/2)) 1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) (fma.f64 x -5/12 -1/2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) (fma.f64 x -5/12 -1/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) (fma.f64 x -5/12 -1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) (fma.f64 x -5/12 -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 -5/12 (pow.f64 x 3)) 3) (pow.f64 (*.f64 x (*.f64 x -1/2)) 3)) (+.f64 (pow.f64 (*.f64 -5/12 (pow.f64 x 3)) 2) (-.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (*.f64 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 x (*.f64 x -1/2))))))
(/.f64 (-.f64 (pow.f64 (*.f64 -5/12 (pow.f64 x 3)) 2) (pow.f64 (*.f64 x (*.f64 x -1/2)) 2)) (-.f64 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 x (*.f64 x -1/2))))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (pow.f64 x 3) -125/1728 -1/8)) (-.f64 (fma.f64 (*.f64 x x) 25/144 1/4) (*.f64 x 5/24)))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) 25/144 -1/4)) (fma.f64 x -5/12 1/2))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 3) -125/1728 -1/8) (*.f64 x x)) (-.f64 (fma.f64 (*.f64 x x) 25/144 1/4) (*.f64 x 5/24)))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) 25/144 -1/4) (*.f64 x x)) (fma.f64 x -5/12 1/2))
(pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) 4) 1/2)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) 6) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) 2)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)))) 2)) (cbrt.f64 (log.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))))) (sqrt.f64 (log.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)))))
(sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) 4))
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) (fma.f64 x -5/12 -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)))))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) 6))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))))
(exp.f64 (log.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2))) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 (fma.f64 x -5/12 -1/2)))) 2))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (*.f64 x (fma.f64 x -5/12 -1/2)))))
(exp.f64 (+.f64 (*.f64 2 (log.f64 x)) (*.f64 (log.f64 (fma.f64 x -5/12 -1/2)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 2) (log.f64 (fma.f64 x -5/12 -1/2))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 2) (*.f64 (log.f64 (fma.f64 x -5/12 -1/2)) 1)))
(exp.f64 (+.f64 (*.f64 (*.f64 2 (log.f64 x)) 1) (log.f64 (fma.f64 x -5/12 -1/2))))
(exp.f64 (+.f64 (*.f64 (*.f64 2 (log.f64 x)) 1) (*.f64 (log.f64 (fma.f64 x -5/12 -1/2)) 1)))
(exp.f64 (+.f64 (log.f64 (fma.f64 x -5/12 -1/2)) (*.f64 (log.f64 x) 2)))
(exp.f64 (+.f64 (log.f64 (fma.f64 x -5/12 -1/2)) (*.f64 (*.f64 2 (log.f64 x)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x -5/12 -1/2)) 1) (*.f64 2 (log.f64 x))))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x -5/12 -1/2)) 1) (*.f64 (log.f64 x) 2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x -5/12 -1/2)) 1) (*.f64 (*.f64 2 (log.f64 x)) 1)))
(exp.f64 (+.f64 (log.f64 (*.f64 x (fma.f64 x -5/12 -1/2))) (*.f64 (log.f64 x) 1)))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x 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 -5/12 (pow.f64 x 3)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 1 (*.f64 x (*.f64 x -1/2)) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -5/12)) 2) (*.f64 (cbrt.f64 (*.f64 x -5/12)) (*.f64 x x)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x -5/12)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3) -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 (*.f64 -5/12 (pow.f64 x 3)) 1 (*.f64 (*.f64 x (*.f64 x -1/2)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -5/12 (pow.f64 x 3))) 2) (cbrt.f64 (*.f64 -5/12 (pow.f64 x 3))) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) 2) (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (*.f64 -5/12 (pow.f64 x 3)))
(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 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 (*.f64 x -5/12) (*.f64 (cbrt.f64 x) x)) (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 (pow.f64 (*.f64 x (cbrt.f64 (*.f64 x -5/12))) 2) (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)))
(fma.f64 (*.f64 -1/2 (*.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) (*.f64 -5/12 (pow.f64 x 3)))
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 -1/2 (*.f64 x x))
(+.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 -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 -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 -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 -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 -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 -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 -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 -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 0 (*.f64 x -5/12))
(*.f64 -5/12 x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -5/12) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -5/12) x))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -5/12) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -5/12) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -5/12) x))))
(*.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 (*.f64 x x) 25/144) 1/2)
(sqrt.f64 (*.f64 x (*.f64 x 25/144)))
(sqrt.f64 (*.f64 (*.f64 x x) 25/144))
(pow.f64 (*.f64 (pow.f64 x 3) -125/1728) 1/3)
(*.f64 -5/12 x)
(pow.f64 (sqrt.f64 (*.f64 x -5/12)) 2)
(*.f64 -5/12 x)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 x -5/12)))
(*.f64 -5/12 x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x -5/12))) 2)) (cbrt.f64 (log.f64 (*.f64 x -5/12))))
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(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)))
(fma.f64 -1/2 (*.f64 x x) (*.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)))
(fma.f64 1 (*.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)))
(fma.f64 1 (*.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)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -5/12)) 2) (*.f64 (cbrt.f64 (*.f64 x -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)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(fma.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x -5/12)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 x (cbrt.f64 x)) (*.f64 (*.f64 -5/12 x) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 x (cbrt.f64 x)) (*.f64 -5/12 (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (*.f64 -1/2 (*.f64 x x)))
(*.f64 x (+.f64 (*.f64 x -1/2) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 -5/12 x) (cbrt.f64 x)))))
(*.f64 x (+.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 -5/12 x) (cbrt.f64 x))) (*.f64 x -1/2)))
(fma.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 (*.f64 x (cbrt.f64 x)) (*.f64 -1/2 (pow.f64 (cbrt.f64 x) 2)) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x (*.f64 -1/2 (cbrt.f64 x)))))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 x -1/2) (cbrt.f64 x))))
(fma.f64 (pow.f64 x 3) -5/12 (*.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)))
(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 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(fma.f64 (*.f64 -5/12 (pow.f64 x 3)) 1 (*.f64 (*.f64 x (*.f64 x -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)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 -5/12 (pow.f64 x 3))) 2) (cbrt.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)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) 2) (cbrt.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)))
(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 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x (fma.f64 -5/12 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 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(fma.f64 (*.f64 (*.f64 x -5/12) x) x (*.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)))
(fma.f64 (*.f64 -1/2 x) x (*.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)))
(fma.f64 (*.f64 (*.f64 x -5/12) (*.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 x (cbrt.f64 x)) (*.f64 (*.f64 -5/12 x) (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 x (cbrt.f64 x)) (*.f64 -5/12 (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (*.f64 -1/2 (*.f64 x x)))
(*.f64 x (+.f64 (*.f64 x -1/2) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 -5/12 x) (cbrt.f64 x)))))
(*.f64 x (+.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 -5/12 x) (cbrt.f64 x))) (*.f64 x -1/2)))
(fma.f64 (*.f64 (*.f64 x x) -5/12) x (*.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)))
(fma.f64 (pow.f64 (*.f64 x (cbrt.f64 (*.f64 x -5/12))) 2) (cbrt.f64 (*.f64 x -5/12)) (*.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)))
(fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 (*.f64 x -5/12))) (sqrt.f64 (*.f64 x -5/12)) (*.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)))
(fma.f64 (*.f64 -1/2 (*.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 (*.f64 x (cbrt.f64 x)) (*.f64 -1/2 (pow.f64 (cbrt.f64 x) 2)) (*.f64 -5/12 (pow.f64 x 3)))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 x (*.f64 -1/2 (cbrt.f64 x)))))
(fma.f64 -5/12 (pow.f64 x 3) (*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 x -1/2) (cbrt.f64 x))))

eval57.0ms (0.7%)

Compiler

Compiled 2551 to 1774 computations (30.5% saved)

prune29.0ms (0.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1321133
Fresh011
Picked022
Done011
Total1325137
Accurracy
100.0%
Counts
137 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓99.7%
(-.f64 -1 x)
✓99.9%
(+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (+.f64 (*.f64 x -5/12) -1/2)))
▶99.8%
(+.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))
98.5%
-1
✓100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓99.7%
(-.f64 -1 x)
✓99.9%
(+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (+.f64 (*.f64 x -5/12) -1/2)))
▶99.8%
(+.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))
98.5%
-1
Compiler

Compiled 74 to 54 computations (27% saved)

localize39.0ms (0.5%)

Compiler

Compiled 25 to 17 computations (32% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune4.0ms (0%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done033
Total055
Accurracy
100.0%
Counts
5 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓99.7%
(-.f64 -1 x)
✓99.9%
(+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (+.f64 (*.f64 x -5/12) -1/2)))
✓99.8%
(+.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))
98.5%
-1
✓100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓99.7%
(-.f64 -1 x)
✓99.9%
(+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (+.f64 (*.f64 x -5/12) -1/2)))
✓99.8%
(+.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))
98.5%
-1
Compiler

Compiled 74 to 54 computations (27% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune3.0ms (0%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done044
Total055
Accurracy
100.0%
Counts
5 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓99.7%
(-.f64 -1 x)
✓99.9%
(+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (+.f64 (*.f64 x -5/12) -1/2)))
✓99.8%
(+.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))
98.5%
-1
Compiler

Compiled 79 to 57 computations (27.8% saved)

regimes8.0ms (0.1%)

Counts
6 → 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 (*.f64 x -5/12) -1/2)))
(/.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:

4.0ms
x
2.0ms
(/.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 54 to 39 computations (27.8% 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 (*.f64 x -5/12) -1/2)))
Outputs
(+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (+.f64 (*.f64 x -5/12) -1/2)))
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
99.9%1x
Compiler

Compiled 29 to 20 computations (31% saved)

regimes4.0ms (0.1%)

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
99.8%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
99.7%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
98.5%1x
Compiler

Compiled 4 to 3 computations (25% saved)

simplify286.0ms (3.7%)

Algorithm
1×egg-herbie
Rules
10×+-commutative
10×*-commutative
4×sub-neg
2×neg-mul-1
2×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02089
13189
23489
33589
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(+.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
Outputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(+.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 37 to 27 computations (27% saved)

soundness547.0ms (7%)

Rules
1146×fma-def
938×associate-*r*
938×associate-*r*
856×associate-+l+
856×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01021
11619
22119
32819
43619
54619
66019
77619
88019
02736618
18006024
227125724
02736618
18006024
227125724
02613037
16222551
215782513
352932513
Stop Event
1×node limit
1×node limit
1×node limit
1×saturated
Compiler

Compiled 361 to 277 computations (23.3% saved)

end0.0ms (0%)

preprocess72.0ms (0.9%)

Compiler

Compiled 120 to 88 computations (26.7% saved)

Profiling

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