qlog (example 3.10)

Time bar (total: 9.4s)

analyze322.0ms (3.4%)

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)

sample5.3s (56.1%)

Results
3.4s4199×body1024valid
1.2s1943×body512valid
349.0ms397×body2048valid
289.0ms1717×body256valid
Bogosity

preprocess315.0ms (3.4%)

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)

localize311.0ms (3.3%)

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)))
✓8.8%
(log.f64 (-.f64 1 x))
✓8.8%
(log.f64 (+.f64 1 x))
Compiler

Compiled 41 to 24 computations (41.5% saved)

series6.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
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))
0.0ms
x
@0
(log.f64 (+.f64 1 x))

rewrite69.0ms (0.7%)

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))))

simplify417.0ms (4.4%)

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

eval110.0ms (1.2%)

Compiler

Compiled 5011 to 3581 computations (28.5% saved)

prune27.0ms (0.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1745179
Fresh000
Picked022
Done000
Total1747181
Accurracy
100.0%
Counts
181 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.3%
(fma.f64 -1/2 (*.f64 x x) (-.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)))
▶98.6%
(-.f64 -1 x)
▶99.3%
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
▶99.5%
(+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (+.f64 (*.f64 x -5/12) -1/2)))
97.5%
-1
▶99.3%
(fma.f64 -1/2 (*.f64 x x) (-.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)))
▶98.6%
(-.f64 -1 x)
▶99.3%
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
▶99.5%
(+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (+.f64 (*.f64 x -5/12) -1/2)))
97.5%
-1
Compiler

Compiled 112 to 82 computations (26.8% saved)

localize587.0ms (6.2%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
✓100.0%
(+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (+.f64 (*.f64 x -5/12) -1/2)))
✓100.0%
(*.f64 (*.f64 x x) (+.f64 (*.f64 x -5/12) -1/2))
✓99.4%
(*.f64 x -5/12)
Compiler

Compiled 88 to 47 computations (46.6% saved)

series3.0ms (0%)

Counts
4 → 48
Calls

12 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)

rewrite98.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
1440×log-prod
1426×fma-def
560×expm1-udef
560×fma-neg
554×log1p-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01482
132178
2447178
Stop Event
1×node limit
Counts
4 → 186
Calls
Call 1
Inputs
(*.f64 x -5/12)
(*.f64 (*.f64 x x) (+.f64 (*.f64 x -5/12) -1/2))
(+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (+.f64 (*.f64 x -5/12) -1/2)))
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
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))
(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 (*.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 (*.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 (*.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)) (fma.f64 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 -5/12 (pow.f64 x 3)) (-.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 x (*.f64 x -1/2))) (*.f64 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 x (*.f64 x -1/2))))))
(/.f64 (-.f64 (*.f64 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 -5/12 (pow.f64 x 3))) (*.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 x (*.f64 x -1/2)))) (-.f64 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 x (*.f64 x -1/2))))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 -125/1728 (pow.f64 x 3) -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 -125/1728 (pow.f64 x 3) -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 (*.f64 x 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 (*.f64 (pow.f64 (fma.f64 x -5/12 -1/2) 2) (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x -5/12 -1/2)) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)))))
(log.f64 (*.f64 (exp.f64 (*.f64 x (*.f64 x -1/2))) (exp.f64 (*.f64 -5/12 (pow.f64 x 3)))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))))
(exp.f64 (fma.f64 2 (log.f64 x) (log.f64 (fma.f64 x -5/12 -1/2))))
(exp.f64 (*.f64 (fma.f64 2 (log.f64 x) (log.f64 (fma.f64 x -5/12 -1/2))) 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 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 (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 (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 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) (*.f64 -5/12 (pow.f64 x 3)))
(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 -5/12 (pow.f64 x 3)) 1 (*.f64 (*.f64 x (*.f64 x -1/2)) 1))
(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 (*.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 (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 (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 (*.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 (*.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) (pow.f64 (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 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (*.f64 -5/12 (pow.f64 x 3)))
(-.f64 -1 (-.f64 x (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x))) 1)
(-.f64 (/.f64 (pow.f64 (-.f64 -1 x) 2) (-.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)))) (/.f64 (*.f64 (pow.f64 (fma.f64 x -5/12 -1/2) 2) (pow.f64 x 4)) (-.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)))))
(-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x)
(*.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x) 1)
(*.f64 1 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x))
(*.f64 (cbrt.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x)) 2) (cbrt.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x)))
(*.f64 (sqrt.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x)) (sqrt.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x)))
(*.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)) 3)) (/.f64 1 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)) (-.f64 (*.f64 (*.f64 x 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) (*.f64 (pow.f64 (fma.f64 x -5/12 -1/2) 2) (pow.f64 x 4))) (/.f64 1 (-.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)) (-.f64 (*.f64 (*.f64 x 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 (*.f64 x x) (fma.f64 x -5/12 -1/2)) 3))))
(/.f64 1 (/.f64 (-.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))) (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (pow.f64 (fma.f64 x -5/12 -1/2) 2) (pow.f64 x 4)))))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)) 3)) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)) (-.f64 (*.f64 (*.f64 x 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 (*.f64 x 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 (*.f64 x x) (fma.f64 x -5/12 -1/2)) (-.f64 -1 x)))))
(/.f64 (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (pow.f64 (fma.f64 x -5/12 -1/2) 2) (pow.f64 x 4))) (-.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)) 3))) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)) (-.f64 (*.f64 (*.f64 x 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) (*.f64 (pow.f64 (fma.f64 x -5/12 -1/2) 2) (pow.f64 x 4)))) (neg.f64 (-.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)))))
(/.f64 (-.f64 -1 (pow.f64 (-.f64 x (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))) 3)) (+.f64 1 (fma.f64 (-.f64 x (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))) (-.f64 x (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))) (*.f64 -1 (-.f64 x (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 x -5/12 -1/2) 2) (pow.f64 x 4)) (pow.f64 (-.f64 -1 x) 2)) (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)) (-.f64 -1 x)))
(/.f64 (-.f64 1 (*.f64 (-.f64 x (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))) (-.f64 x (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))))) (+.f64 -1 (-.f64 x (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)))))
(pow.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x) 1)
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x)) 3)
(pow.f64 (pow.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x)) 2)
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x) 2))
(log.f64 (exp.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -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 (*.f64 x x) (fma.f64 x -5/12 -1/2)))) (exp.f64 (-.f64 -1 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x 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 (*.f64 x 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 (*.f64 x x) (fma.f64 x -5/12 -1/2))))))
(log.f64 (*.f64 (exp.f64 (*.f64 -5/12 (pow.f64 x 3))) (exp.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))))
(log.f64 (*.f64 (exp.f64 (*.f64 -5/12 (pow.f64 x 3))) (+.f64 1 (expm1.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x) 3))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x)))
(exp.f64 (log.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x)) 1))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x)))
(fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) (-.f64 -1 x))
(fma.f64 x (*.f64 x (*.f64 x -5/12)) (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))
(fma.f64 x (*.f64 -5/12 (*.f64 x x)) (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))
(fma.f64 -5/12 (pow.f64 x 3) (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))
(fma.f64 (*.f64 x -5/12) (*.f64 x x) (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))
(fma.f64 (*.f64 x x) (*.f64 x -5/12) (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))
(fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) (-.f64 -1 x))
(fma.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x) (-.f64 -1 x))
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)) 1 (-.f64 -1 x))
(fma.f64 (-.f64 -1 x) 1 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)))
(fma.f64 1 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)) (-.f64 -1 x))
(fma.f64 1 (-.f64 -1 x) (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)))
(fma.f64 1 (*.f64 -5/12 (pow.f64 x 3)) (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))
(fma.f64 (cbrt.f64 (-.f64 -1 x)) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (cbrt.f64 (-.f64 -1 x)) (*.f64 (*.f64 x 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 (pow.f64 (cbrt.f64 (*.f64 x -5/12)) 2) (*.f64 (cbrt.f64 (*.f64 x -5/12)) (*.f64 x x)) (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))) 2) (-.f64 -1 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))) 2) (cbrt.f64 (*.f64 (*.f64 x 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) (*.f64 x -5/12)) (-.f64 (fma.f64 x (*.f64 x -1/2) -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 (*.f64 x 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 (sqrt.f64 (*.f64 x -5/12)) (*.f64 (sqrt.f64 (*.f64 x -5/12)) (*.f64 x x)) (-.f64 (fma.f64 x (*.f64 x -1/2) -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 (pow.f64 x 3) -5/12 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))
(fma.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x -1) 1)) (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)))
(fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 x -1)) (*.f64 (*.f64 x 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 -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 (fma.f64 x (*.f64 x -1/2) -1) x))
(fma.f64 (sqrt.f64 (*.f64 -5/12 (pow.f64 x 3))) (sqrt.f64 (*.f64 -5/12 (pow.f64 x 3))) (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 x -5/12)) x) (*.f64 (sqrt.f64 (*.f64 x -5/12)) x) (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 x -5/12))) (*.f64 x (sqrt.f64 (*.f64 x -5/12))) (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))
(fma.f64 (*.f64 (*.f64 x -5/12) x) x (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))
(fma.f64 (*.f64 (*.f64 x -5/12) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))
(fma.f64 (*.f64 (*.f64 x x) -5/12) x (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))
(fma.f64 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (*.f64 x -5/12)) 2)) (cbrt.f64 (*.f64 x -5/12)) (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))
(fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 (*.f64 x -5/12))) (sqrt.f64 (*.f64 x -5/12)) (-.f64 (fma.f64 x (*.f64 x -1/2) -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))
(+.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))
(+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x))
(+.f64 0 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))
(+.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) 1) (-.f64 -1 x))
(+.f64 (fma.f64 x (*.f64 x -1/2) -1) (neg.f64 x))
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(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))) 1)
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(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3) (pow.f64 (-.f64 -1 x) 3)) (fma.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 x (*.f64 x -1/2)) (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x)))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 x (*.f64 x -1/2))) (pow.f64 (-.f64 -1 x) 2)) (-.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x)))
(pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 1)
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 3)
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(pow.f64 (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 2)
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(log.f64 (exp.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))
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(log.f64 (*.f64 (exp.f64 (-.f64 -1 x)) (exp.f64 (*.f64 x (*.f64 x -1/2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 -1 x))) (exp.f64 (*.f64 x (*.f64 x -1/2)))))
(log.f64 (*.f64 (exp.f64 (*.f64 x (*.f64 x -1/2))) (+.f64 1 (expm1.f64 (-.f64 -1 x)))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 3))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))
(exp.f64 (log.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 1))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))

simplify172.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
1498×unswap-sqr
816×times-frac
622×fma-neg
442×fma-def
440×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04238418
110516846
237856764
Stop Event
1×node limit
Counts
234 → 265
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 -1/2 (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 -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 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.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 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
-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 -1 x)) 1)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 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))
(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 (*.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 (*.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 (*.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)) (fma.f64 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 -5/12 (pow.f64 x 3)) (-.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 x (*.f64 x -1/2))) (*.f64 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 x (*.f64 x -1/2))))))
(/.f64 (-.f64 (*.f64 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 -5/12 (pow.f64 x 3))) (*.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 x (*.f64 x -1/2)))) (-.f64 (*.f64 -5/12 (pow.f64 x 3)) (*.f64 x (*.f64 x -1/2))))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 -125/1728 (pow.f64 x 3) -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 -125/1728 (pow.f64 x 3) -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 (*.f64 x 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 (*.f64 (pow.f64 (fma.f64 x -5/12 -1/2) 2) (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x -5/12 -1/2)) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)))))
(log.f64 (*.f64 (exp.f64 (*.f64 x (*.f64 x -1/2))) (exp.f64 (*.f64 -5/12 (pow.f64 x 3)))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))))
(exp.f64 (fma.f64 2 (log.f64 x) (log.f64 (fma.f64 x -5/12 -1/2))))
(exp.f64 (*.f64 (fma.f64 2 (log.f64 x) (log.f64 (fma.f64 x -5/12 -1/2))) 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 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 (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 (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 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) (*.f64 -5/12 (pow.f64 x 3)))
(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 -5/12 (pow.f64 x 3)) 1 (*.f64 (*.f64 x (*.f64 x -1/2)) 1))
(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 (*.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 (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 (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 (*.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 (*.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) (pow.f64 (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 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (*.f64 -5/12 (pow.f64 x 3)))
(-.f64 -1 (-.f64 x (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x))) 1)
(-.f64 (/.f64 (pow.f64 (-.f64 -1 x) 2) (-.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)))) (/.f64 (*.f64 (pow.f64 (fma.f64 x -5/12 -1/2) 2) (pow.f64 x 4)) (-.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)))))
(-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x)
(*.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x) 1)
(*.f64 1 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x))
(*.f64 (cbrt.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x)) 2) (cbrt.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x)))
(*.f64 (sqrt.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x)) (sqrt.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x)))
(*.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)) 3)) (/.f64 1 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)) (-.f64 (*.f64 (*.f64 x 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) (*.f64 (pow.f64 (fma.f64 x -5/12 -1/2) 2) (pow.f64 x 4))) (/.f64 1 (-.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)) (-.f64 (*.f64 (*.f64 x 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 (*.f64 x x) (fma.f64 x -5/12 -1/2)) 3))))
(/.f64 1 (/.f64 (-.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))) (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (pow.f64 (fma.f64 x -5/12 -1/2) 2) (pow.f64 x 4)))))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)) 3)) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)) (-.f64 (*.f64 (*.f64 x 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 (*.f64 x 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 (*.f64 x x) (fma.f64 x -5/12 -1/2)) (-.f64 -1 x)))))
(/.f64 (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (pow.f64 (fma.f64 x -5/12 -1/2) 2) (pow.f64 x 4))) (-.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)) 3))) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)) (-.f64 (*.f64 (*.f64 x 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) (*.f64 (pow.f64 (fma.f64 x -5/12 -1/2) 2) (pow.f64 x 4)))) (neg.f64 (-.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)))))
(/.f64 (-.f64 -1 (pow.f64 (-.f64 x (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))) 3)) (+.f64 1 (fma.f64 (-.f64 x (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))) (-.f64 x (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))) (*.f64 -1 (-.f64 x (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 x -5/12 -1/2) 2) (pow.f64 x 4)) (pow.f64 (-.f64 -1 x) 2)) (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)) (-.f64 -1 x)))
(/.f64 (-.f64 1 (*.f64 (-.f64 x (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))) (-.f64 x (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))))) (+.f64 -1 (-.f64 x (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)))))
(pow.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x) 1)
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x)) 3)
(pow.f64 (pow.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x)) 2)
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x) 2))
(log.f64 (exp.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -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 (*.f64 x x) (fma.f64 x -5/12 -1/2)))) (exp.f64 (-.f64 -1 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x 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 (*.f64 x 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 (*.f64 x x) (fma.f64 x -5/12 -1/2))))))
(log.f64 (*.f64 (exp.f64 (*.f64 -5/12 (pow.f64 x 3))) (exp.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))))
(log.f64 (*.f64 (exp.f64 (*.f64 -5/12 (pow.f64 x 3))) (+.f64 1 (expm1.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x) 3))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x)))
(exp.f64 (log.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x)) 1))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) -1) x)))
(fma.f64 x (*.f64 x (fma.f64 x -5/12 -1/2)) (-.f64 -1 x))
(fma.f64 x (*.f64 x (*.f64 x -5/12)) (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))
(fma.f64 x (*.f64 -5/12 (*.f64 x x)) (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))
(fma.f64 -5/12 (pow.f64 x 3) (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))
(fma.f64 (*.f64 x -5/12) (*.f64 x x) (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))
(fma.f64 (*.f64 x x) (*.f64 x -5/12) (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))
(fma.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2) (-.f64 -1 x))
(fma.f64 (fma.f64 x -5/12 -1/2) (*.f64 x x) (-.f64 -1 x))
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)) 1 (-.f64 -1 x))
(fma.f64 (-.f64 -1 x) 1 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)))
(fma.f64 1 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)) (-.f64 -1 x))
(fma.f64 1 (-.f64 -1 x) (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)))
(fma.f64 1 (*.f64 -5/12 (pow.f64 x 3)) (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))
(fma.f64 (cbrt.f64 (-.f64 -1 x)) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (cbrt.f64 (-.f64 -1 x)) (*.f64 (*.f64 x 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 (pow.f64 (cbrt.f64 (*.f64 x -5/12)) 2) (*.f64 (cbrt.f64 (*.f64 x -5/12)) (*.f64 x x)) (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))) 2) (-.f64 -1 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2))) 2) (cbrt.f64 (*.f64 (*.f64 x 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) (*.f64 x -5/12)) (-.f64 (fma.f64 x (*.f64 x -1/2) -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 (*.f64 x 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 (sqrt.f64 (*.f64 x -5/12)) (*.f64 (sqrt.f64 (*.f64 x -5/12)) (*.f64 x x)) (-.f64 (fma.f64 x (*.f64 x -1/2) -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 (pow.f64 x 3) -5/12 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))
(fma.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x -1) 1)) (*.f64 (*.f64 x x) (fma.f64 x -5/12 -1/2)))
(fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 x -1)) (*.f64 (*.f64 x 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 -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 (fma.f64 x (*.f64 x -1/2) -1) x))
(fma.f64 (sqrt.f64 (*.f64 -5/12 (pow.f64 x 3))) (sqrt.f64 (*.f64 -5/12 (pow.f64 x 3))) (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 x -5/12)) x) (*.f64 (sqrt.f64 (*.f64 x -5/12)) x) (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 x -5/12))) (*.f64 x (sqrt.f64 (*.f64 x -5/12))) (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))
(fma.f64 (*.f64 (*.f64 x -5/12) x) x (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))
(fma.f64 (*.f64 (*.f64 x -5/12) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))
(fma.f64 (*.f64 (*.f64 x x) -5/12) x (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))
(fma.f64 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 (*.f64 x -5/12)) 2)) (cbrt.f64 (*.f64 x -5/12)) (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))
(fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 (*.f64 x -5/12))) (sqrt.f64 (*.f64 x -5/12)) (-.f64 (fma.f64 x (*.f64 x -1/2) -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))
(+.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))
(+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x))
(+.f64 0 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))
(+.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) 1) (-.f64 -1 x))
(+.f64 (fma.f64 x (*.f64 x -1/2) -1) (neg.f64 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))) (cbrt.f64 (exp.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))) 1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(*.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 1)
(*.f64 1 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))
(*.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 2) (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))
(*.f64 (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3) (pow.f64 (-.f64 -1 x) 3)) (fma.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 x (*.f64 x -1/2)) (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x)))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 x (*.f64 x -1/2))) (pow.f64 (-.f64 -1 x) 2)) (-.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x)))
(pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 1)
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 3)
(pow.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 2)
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 2))
(log.f64 (exp.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))))
(log.f64 (*.f64 (exp.f64 (-.f64 -1 x)) (exp.f64 (*.f64 x (*.f64 x -1/2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 -1 x))) (exp.f64 (*.f64 x (*.f64 x -1/2)))))
(log.f64 (*.f64 (exp.f64 (*.f64 x (*.f64 x -1/2))) (+.f64 1 (expm1.f64 (-.f64 -1 x)))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 3))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))
(exp.f64 (log.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 1))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -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 -1/2 (*.f64 x x))
(*.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 -1/2 (*.f64 x x)))
(*.f64 (*.f64 x x) (fma.f64 -5/12 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 -1/2 (*.f64 x x)))
(*.f64 (*.f64 x x) (fma.f64 -5/12 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 -1/2 (*.f64 x x)))
(*.f64 (*.f64 x x) (fma.f64 -5/12 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 -1/2 (*.f64 x x)))
(*.f64 (*.f64 x x) (fma.f64 -5/12 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 -1/2 (*.f64 x x)))
(*.f64 (*.f64 x x) (fma.f64 -5/12 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 -1/2 (*.f64 x x)))
(*.f64 (*.f64 x x) (fma.f64 -5/12 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 -1/2 (*.f64 x x)))
(*.f64 (*.f64 x x) (fma.f64 -5/12 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 -1/2 (*.f64 x x)))
(*.f64 (*.f64 x x) (fma.f64 -5/12 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 -1/2 (*.f64 x x)))
(*.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2))
(*.f64 x (*.f64 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 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -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 -5/12 (pow.f64 x 3)))) -1)
(fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) (-.f64 -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 -1/2 (*.f64 x x)))
(*.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3))))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x (*.f64 -5/12 (pow.f64 x 3))))
(+.f64 (neg.f64 x) (*.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2)))
(-.f64 (*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2))) 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 -5/12 (pow.f64 x 3)))) -1)
(fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) (-.f64 -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 -1/2 (*.f64 x x)))
(*.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2))
(*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3))))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x (*.f64 -5/12 (pow.f64 x 3))))
(+.f64 (neg.f64 x) (*.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2)))
(-.f64 (*.f64 x (*.f64 x (fma.f64 -5/12 x -1/2))) 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 -5/12 (pow.f64 x 3)))) -1)
(fma.f64 (*.f64 x x) (fma.f64 -5/12 x -1/2) (-.f64 -1 x))
(fma.f64 x (*.f64 x (fma.f64 -5/12 x -1/2)) (-.f64 -1 x))
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -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)
(-.f64 (fma.f64 x (*.f64 x -1/2) -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)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 x -1/2))
(+.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 x (+.f64 -1 (*.f64 x -1/2)))
(-.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)
(-.f64 (fma.f64 x (*.f64 x -1/2) -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)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 x -1/2))
(+.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 x (+.f64 -1 (*.f64 x -1/2)))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
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(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3) (pow.f64 (-.f64 -1 x) 3)) (fma.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 x (*.f64 x -1/2)) (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3) (pow.f64 (-.f64 -1 x) 3)) (fma.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 -1/2 (*.f64 x x)) (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (*.f64 -1/2 (*.f64 x x)) (-.f64 -1 x)))))
(/.f64 (+.f64 (*.f64 -1/8 (pow.f64 x 6)) (pow.f64 (-.f64 -1 x) 3)) (+.f64 (*.f64 1/4 (pow.f64 x 4)) (*.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2))))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 x (*.f64 x -1/2))) (pow.f64 (-.f64 -1 x) 2)) (-.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x)))
(/.f64 (-.f64 (*.f64 x (*.f64 (*.f64 x -1/2) (*.f64 -1/2 (*.f64 x x)))) (pow.f64 (-.f64 -1 x) 2)) (+.f64 (-.f64 (*.f64 -1/2 (*.f64 x x)) -1) x))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 (-.f64 -1 x) 2)) (+.f64 x (fma.f64 x (*.f64 x -1/2) 1)))
(pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 3)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(pow.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 3) 1/3)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 2)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 2))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(log.f64 (exp.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(log.f64 (*.f64 (exp.f64 (-.f64 -1 x)) (exp.f64 (*.f64 x (*.f64 x -1/2)))))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 -1 x))) (exp.f64 (*.f64 x (*.f64 x -1/2)))))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(log.f64 (*.f64 (exp.f64 (*.f64 x (*.f64 x -1/2))) (+.f64 1 (expm1.f64 (-.f64 -1 x)))))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 3))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(exp.f64 (log.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 1))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)

eval120.0ms (1.3%)

Compiler

Compiled 5207 to 3537 computations (32.1% saved)

prune37.0ms (0.4%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New2632265
Fresh011
Picked224
Done022
Total2657272
Accurracy
100.0%
Counts
272 → 7
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)))
▶99.3%
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
✓98.6%
(-.f64 -1 x)
✓99.5%
(+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (+.f64 (*.f64 x -5/12) -1/2)))
▶99.3%
(+.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))
97.5%
-1
✓100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓4.1%
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
▶99.3%
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
✓98.6%
(-.f64 -1 x)
✓99.5%
(+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (+.f64 (*.f64 x -5/12) -1/2)))
▶99.3%
(+.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))
97.5%
-1
Compiler

Compiled 112 to 82 computations (26.8% saved)

localize50.0ms (0.5%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiled 45 to 30 computations (33.3% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite102.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
1386×fma-def
1186×log-prod
554×pow-exp
534×pow-prod-up
470×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01250
127142
2383642
Stop Event
1×node limit
Counts
2 → 301
Calls
Call 1
Inputs
(+.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
Outputs
(-.f64 -1 (*.f64 x (-.f64 1 (*.f64 x -1/2))))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))) 1)
(-.f64 (/.f64 (pow.f64 (-.f64 -1 x) 2) (-.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))) (/.f64 (*.f64 (pow.f64 x 4) 1/4) (-.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))))
(-.f64 (/.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (fma.f64 x (fma.f64 x (*.f64 x -1/2) (+.f64 -1 x)) (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2))) (/.f64 (pow.f64 x 3) (fma.f64 x (fma.f64 x (*.f64 x -1/2) (+.f64 -1 x)) (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2))))
(-.f64 (/.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (fma.f64 x (*.f64 x -1/2) (+.f64 -1 x))) (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/2) (+.f64 -1 x))))
(*.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)) 1)
(*.f64 1 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))
(*.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) 2) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))))
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) (sqrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))))
(*.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) -1/8 (pow.f64 (-.f64 -1 x) 3)) (/.f64 1 (fma.f64 (*.f64 x (*.f64 x -1/2)) (fma.f64 x (*.f64 x -1/2) (neg.f64 (-.f64 -1 x))) (pow.f64 (-.f64 -1 x) 2))))
(*.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (fma.f64 x (*.f64 x -1/2) (+.f64 -1 x)) (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2))))
(*.f64 (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (pow.f64 x 4) 1/4)) (/.f64 1 (-.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))))
(*.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x)) (/.f64 1 (fma.f64 x (*.f64 x -1/2) (+.f64 -1 x))))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (sqrt.f64 x)))
(/.f64 1 (/.f64 (fma.f64 (*.f64 x (*.f64 x -1/2)) (fma.f64 x (*.f64 x -1/2) (neg.f64 (-.f64 -1 x))) (pow.f64 (-.f64 -1 x) 2)) (fma.f64 (pow.f64 (*.f64 x x) 3) -1/8 (pow.f64 (-.f64 -1 x) 3))))
(/.f64 1 (/.f64 (-.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2))) (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (pow.f64 x 4) 1/4))))
(/.f64 1 (/.f64 (fma.f64 x (fma.f64 x (*.f64 x -1/2) (+.f64 -1 x)) (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2)) (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 -1 x)) (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x))))
(/.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) -1/8 (pow.f64 (-.f64 -1 x) 3)) (fma.f64 (*.f64 x (*.f64 x -1/2)) (fma.f64 x (*.f64 x -1/2) (neg.f64 (-.f64 -1 x))) (pow.f64 (-.f64 -1 x) 2)))
(/.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) -1/8 (pow.f64 (-.f64 -1 x) 3)) (fma.f64 (pow.f64 x 4) 1/4 (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (*.f64 (-.f64 -1 x) x) (*.f64 x -1/2)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 x (*.f64 x -1/2) (+.f64 -1 x)) (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2)))
(/.f64 (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (pow.f64 x 4) 1/4)) (-.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x)) (fma.f64 x (*.f64 x -1/2) (+.f64 -1 x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) -1/8 (pow.f64 (-.f64 -1 x) 3))) (neg.f64 (fma.f64 (*.f64 x (*.f64 x -1/2)) (fma.f64 x (*.f64 x -1/2) (neg.f64 (-.f64 -1 x))) (pow.f64 (-.f64 -1 x) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (pow.f64 x 4) 1/4))) (neg.f64 (-.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x (fma.f64 x (*.f64 x -1/2) (+.f64 -1 x)) (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x))) (neg.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 -1 x))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (-.f64 (pow.f64 (neg.f64 x) 2) (*.f64 (fma.f64 x (*.f64 x -1/2) -1) (neg.f64 x)))))
(/.f64 (-.f64 -1 (pow.f64 (*.f64 x (-.f64 1 (*.f64 x -1/2))) 3)) (+.f64 1 (+.f64 (pow.f64 (*.f64 x (-.f64 1 (*.f64 x -1/2))) 2) (*.f64 -1 (*.f64 x (-.f64 1 (*.f64 x -1/2)))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (pow.f64 (neg.f64 x) 2)) (-.f64 (fma.f64 x (*.f64 x -1/2) -1) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 (-.f64 -1 x) 2)) (fma.f64 x (*.f64 x -1/2) (neg.f64 (-.f64 -1 x))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 x (-.f64 1 (*.f64 x -1/2))) 2)) (+.f64 -1 (*.f64 x (-.f64 1 (*.f64 x -1/2)))))
(pow.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) 3)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) 2)
(pow.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x -1/2)) (fma.f64 x (*.f64 x -1/2) (neg.f64 (-.f64 -1 x))) (pow.f64 (-.f64 -1 x) 2)) (fma.f64 (pow.f64 (*.f64 x x) 3) -1/8 (pow.f64 (-.f64 -1 x) 3))) -1)
(pow.f64 (/.f64 (-.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2))) (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (pow.f64 x 4) 1/4))) -1)
(pow.f64 (/.f64 (fma.f64 x (fma.f64 x (*.f64 x -1/2) (+.f64 -1 x)) (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2)) (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3))) -1)
(pow.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 -1 x)) (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x))) -1)
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)) 2))
(log.f64 (exp.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))))
(log.f64 (*.f64 (exp.f64 (-.f64 -1 x)) (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 -1 x))) (pow.f64 (pow.f64 (exp.f64 -1/2) x) x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 -1 x))) (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2))))))
(log.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 -1/2) x) x) (+.f64 1 (expm1.f64 (-.f64 -1 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2)))) (exp.f64 (-.f64 -1 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2)))) (+.f64 1 (expm1.f64 (-.f64 -1 x)))))
(log.f64 (*.f64 (exp.f64 (fma.f64 x (*.f64 x -1/2) -1)) (/.f64 1 (exp.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x -1/2) -1))) (exp.f64 (neg.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x -1/2) -1))) (/.f64 1 (exp.f64 x))))
(log.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (fma.f64 x (*.f64 x -1/2) -1))))
(log.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x -1/2) -1)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (fma.f64 x (*.f64 x -1/2) -1))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 x)) (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x -1/2) -1)))))
(log.f64 (/.f64 (exp.f64 (fma.f64 x (*.f64 x -1/2) -1)) (+.f64 1 (expm1.f64 x))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x -1/2) -1))) (exp.f64 x)))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x -1/2) -1))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))))
(exp.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))) 2))
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))))
(fma.f64 -1 x (fma.f64 x (*.f64 x -1/2) -1))
(fma.f64 x -1 (fma.f64 x (*.f64 x -1/2) -1))
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(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (pow.f64 (neg.f64 x) 2)) (-.f64 (fma.f64 x (*.f64 x -1/2) -1) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 (-.f64 -1 x) 2)) (fma.f64 x (*.f64 x -1/2) (neg.f64 (-.f64 -1 x))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 x (-.f64 1 (*.f64 x -1/2))) 2)) (+.f64 -1 (*.f64 x (-.f64 1 (*.f64 x -1/2)))))
(pow.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) 3)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) 2)
(pow.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x -1/2)) (fma.f64 x (*.f64 x -1/2) (neg.f64 (-.f64 -1 x))) (pow.f64 (-.f64 -1 x) 2)) (fma.f64 (pow.f64 (*.f64 x x) 3) -1/8 (pow.f64 (-.f64 -1 x) 3))) -1)
(pow.f64 (/.f64 (-.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2))) (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (pow.f64 x 4) 1/4))) -1)
(pow.f64 (/.f64 (fma.f64 x (fma.f64 x (*.f64 x -1/2) (+.f64 -1 x)) (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2)) (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3))) -1)
(pow.f64 (/.f64 (fma.f64 x (*.f64 x -1/2) (+.f64 -1 x)) (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x))) -1)
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)) 2))
(log.f64 (exp.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))))
(log.f64 (*.f64 (exp.f64 (-.f64 -1 x)) (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 -1 x))) (pow.f64 (pow.f64 (exp.f64 -1/2) x) x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 -1 x))) (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2))))))
(log.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 -1/2) x) x) (+.f64 1 (expm1.f64 (-.f64 -1 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2)))) (exp.f64 (-.f64 -1 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2)))) (+.f64 1 (expm1.f64 (-.f64 -1 x)))))
(log.f64 (*.f64 (exp.f64 (fma.f64 x (*.f64 x -1/2) -1)) (/.f64 1 (exp.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x -1/2) -1))) (exp.f64 (neg.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x -1/2) -1))) (/.f64 1 (exp.f64 x))))
(log.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (fma.f64 x (*.f64 x -1/2) -1))))
(log.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x -1/2) -1)))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (fma.f64 x (*.f64 x -1/2) -1))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 x)) (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x -1/2) -1)))))
(log.f64 (/.f64 (exp.f64 (fma.f64 x (*.f64 x -1/2) -1)) (+.f64 1 (expm1.f64 x))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x -1/2) -1))) (exp.f64 x)))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x -1/2) -1))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))))
(exp.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))) 2))
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))))
(fma.f64 -1 x (fma.f64 x (*.f64 x -1/2) -1))
(fma.f64 x -1 (fma.f64 x (*.f64 x -1/2) -1))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 (-.f64 -1 x) 1 (*.f64 x (*.f64 x -1/2)))
(fma.f64 -1/2 (*.f64 x x) (-.f64 -1 x))
(fma.f64 (*.f64 x -1/2) x (-.f64 -1 x))
(fma.f64 (*.f64 x (*.f64 x -1/2)) 1 (-.f64 -1 x))
(fma.f64 (fma.f64 x (*.f64 x -1/2) -1) 1 (neg.f64 x))
(fma.f64 (fma.f64 x (*.f64 x -1/2) -1) 1 (*.f64 (neg.f64 x) 1))
(fma.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)) 1 (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)) 1 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)) 1 (+.f64 (neg.f64 x) x))
(fma.f64 1 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))
(fma.f64 1 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x))
(fma.f64 1 (fma.f64 x (*.f64 x -1/2) -1) (neg.f64 x))
(fma.f64 1 (fma.f64 x (*.f64 x -1/2) -1) (*.f64 (neg.f64 x) 1))
(fma.f64 1 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 1 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 1 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)) (+.f64 (neg.f64 x) x))
(fma.f64 1 (neg.f64 x) (fma.f64 x (*.f64 x -1/2) -1))
(fma.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) 2) (neg.f64 x))
(fma.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) 2) (*.f64 (neg.f64 x) 1))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) 2) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) 2) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (*.f64 (neg.f64 x) 1))
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (-.f64 -1 x)) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (cbrt.f64 (-.f64 -1 x)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) 2) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) 2) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) 2) (+.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) 2) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) 2) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) 2) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) (+.f64 (neg.f64 x) x))
(fma.f64 (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (*.f64 (cbrt.f64 (*.f64 x -1/2)) x) (-.f64 -1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (fma.f64 x (*.f64 x -1/2) -1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x -1/2)) (-.f64 -1 x))
(fma.f64 (*.f64 x x) -1/2 (-.f64 -1 x))
(fma.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (neg.f64 x))
(fma.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (*.f64 (neg.f64 x) 1))
(fma.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 x (sqrt.f64 -1/2)) (-.f64 -1 x))
(fma.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (-.f64 -1 x)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) (sqrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) (sqrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) (sqrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) (+.f64 (neg.f64 x) x))
(fma.f64 (sqrt.f64 (*.f64 x -1/2)) (*.f64 (sqrt.f64 (*.f64 x -1/2)) x) (-.f64 -1 x))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (fma.f64 x (*.f64 x -1/2) -1))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x -1/2)) (-.f64 -1 x))
(fma.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) -1/8 (pow.f64 (-.f64 -1 x) 3)) (/.f64 1 (fma.f64 (*.f64 x (*.f64 x -1/2)) (fma.f64 x (*.f64 x -1/2) (neg.f64 (-.f64 -1 x))) (pow.f64 (-.f64 -1 x) 2))) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) -1/8 (pow.f64 (-.f64 -1 x) 3)) (/.f64 1 (fma.f64 (*.f64 x (*.f64 x -1/2)) (fma.f64 x (*.f64 x -1/2) (neg.f64 (-.f64 -1 x))) (pow.f64 (-.f64 -1 x) 2))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) -1/8 (pow.f64 (-.f64 -1 x) 3)) (/.f64 1 (fma.f64 (*.f64 x (*.f64 x -1/2)) (fma.f64 x (*.f64 x -1/2) (neg.f64 (-.f64 -1 x))) (pow.f64 (-.f64 -1 x) 2))) (+.f64 (neg.f64 x) x))
(fma.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 -1 x) 1)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (fma.f64 x (*.f64 x -1/2) (+.f64 -1 x)) (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2))) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (fma.f64 x (*.f64 x -1/2) (+.f64 -1 x)) (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (fma.f64 x (*.f64 x -1/2) (+.f64 -1 x)) (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2))) (+.f64 (neg.f64 x) x))
(fma.f64 (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (pow.f64 x 4) 1/4)) (/.f64 1 (-.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (pow.f64 x 4) 1/4)) (/.f64 1 (-.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (pow.f64 x 4) 1/4)) (/.f64 1 (-.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))) (+.f64 (neg.f64 x) x))
(fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 -1 x)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x)) (/.f64 1 (fma.f64 x (*.f64 x -1/2) (+.f64 -1 x))) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x)) (/.f64 1 (fma.f64 x (*.f64 x -1/2) (+.f64 -1 x))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x)) (/.f64 1 (fma.f64 x (*.f64 x -1/2) (+.f64 -1 x))) (+.f64 (neg.f64 x) x))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x)) (fma.f64 x (*.f64 x -1/2) -1))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (fma.f64 x (*.f64 x -1/2) -1))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 x (*.f64 x -1/2) -1))
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (sqrt.f64 x)) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (sqrt.f64 x)) (+.f64 (neg.f64 x) x))
(fma.f64 (fma.f64 x (sqrt.f64 -1/2) 1) (fma.f64 x (sqrt.f64 -1/2) -1) (neg.f64 x))
(fma.f64 (fma.f64 x (sqrt.f64 -1/2) 1) (fma.f64 x (sqrt.f64 -1/2) -1) (*.f64 (neg.f64 x) 1))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 x (*.f64 x -1/2) -1))
(fma.f64 (*.f64 x (cbrt.f64 (*.f64 1/4 (*.f64 x x)))) (cbrt.f64 (*.f64 x -1/2)) (-.f64 -1 x))
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 x -1/2))) (sqrt.f64 (*.f64 x -1/2)) (-.f64 -1 x))
(fma.f64 (*.f64 (*.f64 x -1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (-.f64 -1 x))
(fma.f64 (*.f64 (*.f64 x -1/2) (sqrt.f64 x)) (sqrt.f64 x) (-.f64 -1 x))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 x (*.f64 x -1/2) -1))
(fma.f64 (*.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 x (*.f64 x -1/2) -1))

simplify132.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
1098×distribute-lft-in
1054×distribute-rgt-in
686×associate-+l+
594×associate-+r+
490×unswap-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035612547
187111347
2251611157
Stop Event
1×node limit
Counts
325 → 191
Calls
Call 1
Inputs
-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 -1 x)) 1)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
-1
(-.f64 (*.f64 -1 x) 1)
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(fma.f64 1 (fma.f64 x (*.f64 x -1/2) -1) (*.f64 (neg.f64 x) 1))
(fma.f64 1 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 1 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 1 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)) (+.f64 (neg.f64 x) x))
(fma.f64 1 (neg.f64 x) (fma.f64 x (*.f64 x -1/2) -1))
(fma.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) 2) (neg.f64 x))
(fma.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) 2) (*.f64 (neg.f64 x) 1))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) 2) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) 2) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (*.f64 (neg.f64 x) 1))
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (-.f64 -1 x)) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (cbrt.f64 (-.f64 -1 x)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) 2) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) 2) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) 2) (+.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) 2) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) 2) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) 2) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) (+.f64 (neg.f64 x) x))
(fma.f64 (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (*.f64 (cbrt.f64 (*.f64 x -1/2)) x) (-.f64 -1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (fma.f64 x (*.f64 x -1/2) -1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x -1/2)) (-.f64 -1 x))
(fma.f64 (*.f64 x x) -1/2 (-.f64 -1 x))
(fma.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (neg.f64 x))
(fma.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (*.f64 (neg.f64 x) 1))
(fma.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 x (sqrt.f64 -1/2)) (-.f64 -1 x))
(fma.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (-.f64 -1 x)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) (sqrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) (sqrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) (sqrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) (+.f64 (neg.f64 x) x))
(fma.f64 (sqrt.f64 (*.f64 x -1/2)) (*.f64 (sqrt.f64 (*.f64 x -1/2)) x) (-.f64 -1 x))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (fma.f64 x (*.f64 x -1/2) -1))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x -1/2)) (-.f64 -1 x))
(fma.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) -1/8 (pow.f64 (-.f64 -1 x) 3)) (/.f64 1 (fma.f64 (*.f64 x (*.f64 x -1/2)) (fma.f64 x (*.f64 x -1/2) (neg.f64 (-.f64 -1 x))) (pow.f64 (-.f64 -1 x) 2))) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) -1/8 (pow.f64 (-.f64 -1 x) 3)) (/.f64 1 (fma.f64 (*.f64 x (*.f64 x -1/2)) (fma.f64 x (*.f64 x -1/2) (neg.f64 (-.f64 -1 x))) (pow.f64 (-.f64 -1 x) 2))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) -1/8 (pow.f64 (-.f64 -1 x) 3)) (/.f64 1 (fma.f64 (*.f64 x (*.f64 x -1/2)) (fma.f64 x (*.f64 x -1/2) (neg.f64 (-.f64 -1 x))) (pow.f64 (-.f64 -1 x) 2))) (+.f64 (neg.f64 x) x))
(fma.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 -1 x) 1)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (fma.f64 x (*.f64 x -1/2) (+.f64 -1 x)) (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2))) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (fma.f64 x (*.f64 x -1/2) (+.f64 -1 x)) (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (fma.f64 x (*.f64 x -1/2) (+.f64 -1 x)) (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2))) (+.f64 (neg.f64 x) x))
(fma.f64 (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (pow.f64 x 4) 1/4)) (/.f64 1 (-.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (pow.f64 x 4) 1/4)) (/.f64 1 (-.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (pow.f64 x 4) 1/4)) (/.f64 1 (-.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))) (+.f64 (neg.f64 x) x))
(fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 -1 x)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x)) (/.f64 1 (fma.f64 x (*.f64 x -1/2) (+.f64 -1 x))) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x)) (/.f64 1 (fma.f64 x (*.f64 x -1/2) (+.f64 -1 x))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x)) (/.f64 1 (fma.f64 x (*.f64 x -1/2) (+.f64 -1 x))) (+.f64 (neg.f64 x) x))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x)) (fma.f64 x (*.f64 x -1/2) -1))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (fma.f64 x (*.f64 x -1/2) -1))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 x (*.f64 x -1/2) -1))
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (sqrt.f64 x)) (fma.f64 (neg.f64 x) 1 x))
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) -1)) (sqrt.f64 x)) (+.f64 (neg.f64 x) x))
(fma.f64 (fma.f64 x (sqrt.f64 -1/2) 1) (fma.f64 x (sqrt.f64 -1/2) -1) (neg.f64 x))
(fma.f64 (fma.f64 x (sqrt.f64 -1/2) 1) (fma.f64 x (sqrt.f64 -1/2) -1) (*.f64 (neg.f64 x) 1))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 x (*.f64 x -1/2) -1))
(fma.f64 (*.f64 x (cbrt.f64 (*.f64 1/4 (*.f64 x x)))) (cbrt.f64 (*.f64 x -1/2)) (-.f64 -1 x))
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 x -1/2))) (sqrt.f64 (*.f64 x -1/2)) (-.f64 -1 x))
(fma.f64 (*.f64 (*.f64 x -1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (-.f64 -1 x))
(fma.f64 (*.f64 (*.f64 x -1/2) (sqrt.f64 x)) (sqrt.f64 x) (-.f64 -1 x))
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 x (*.f64 x -1/2) -1))
(fma.f64 (*.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 x (*.f64 x -1/2) -1))
Outputs
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(-.f64 -1 x)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/2))
(+.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 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/2))
(+.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 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(-.f64 -1 x)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/2))
(+.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 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/2))
(+.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 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(-.f64 -1 (*.f64 x (-.f64 1 (*.f64 x -1/2))))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))) 1)
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(-.f64 (/.f64 (pow.f64 (-.f64 -1 x) 2) (-.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))) (/.f64 (*.f64 (pow.f64 x 4) 1/4) (-.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))))
(/.f64 (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (pow.f64 x 4) 1/4)) (-.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2))))
(/.f64 (+.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (pow.f64 x 4) -1/4)) (+.f64 (-.f64 -1 x) (*.f64 x (*.f64 x 1/2))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 (-.f64 -1 x) 2)) (fma.f64 x (*.f64 x -1/2) (+.f64 x 1)))
(-.f64 (/.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (fma.f64 x (fma.f64 x (*.f64 x -1/2) (+.f64 -1 x)) (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2))) (/.f64 (pow.f64 x 3) (fma.f64 x (fma.f64 x (*.f64 x -1/2) (+.f64 -1 x)) (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 x (*.f64 x -1/2) (+.f64 -1 x)) (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (fma.f64 x (*.f64 x -1/2) -1)) (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2)))
(-.f64 (/.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (fma.f64 x (*.f64 x -1/2) (+.f64 -1 x))) (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/2) (+.f64 -1 x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x)) (fma.f64 x (*.f64 x -1/2) (+.f64 -1 x)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x)) (+.f64 x (fma.f64 x (*.f64 x -1/2) -1)))
(*.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)) 1)
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(*.f64 1 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(*.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) 2))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) 2) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
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(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)

eval70.0ms (0.7%)

Compiler

Compiled 3533 to 2399 computations (32.1% saved)

prune26.0ms (0.3%)

Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New1901191
Fresh011
Picked112
Done044
Total1917198
Accurracy
100.0%
Counts
198 → 7
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)))
▶99.3%
(-.f64 -1 (*.f64 x (-.f64 1 (*.f64 x -1/2))))
✓98.6%
(-.f64 -1 x)
✓99.5%
(+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (+.f64 (*.f64 x -5/12) -1/2)))
✓99.3%
(+.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))
97.5%
-1
✓100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓4.1%
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
▶99.3%
(-.f64 -1 (*.f64 x (-.f64 1 (*.f64 x -1/2))))
✓98.6%
(-.f64 -1 x)
✓99.5%
(+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (+.f64 (*.f64 x -5/12) -1/2)))
✓99.3%
(+.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))
97.5%
-1
Compiler

Compiled 114 to 86 computations (24.6% saved)

localize54.0ms (0.6%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(*.f64 x (-.f64 1 (*.f64 x -1/2)))
Compiler

Compiled 30 to 23 computations (23.3% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite56.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1624×pow1
1506×add-exp-log
1506×log1p-expm1-u
1506×expm1-log1p-u
1476×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
116719
2204019
Stop Event
1×node limit
Counts
1 → 19
Calls
Call 1
Inputs
(*.f64 x (-.f64 1 (*.f64 x -1/2)))
Outputs
(+.f64 x (*.f64 x (*.f64 x 1/2)))
(+.f64 x (*.f64 (*.f64 x 1/2) x))
(-.f64 (+.f64 1 (+.f64 x (*.f64 x (*.f64 x 1/2)))) 1)
(/.f64 (*.f64 x (-.f64 1 (*.f64 -1/8 (pow.f64 x 3)))) (+.f64 1 (*.f64 (*.f64 x -1/2) (+.f64 1 (*.f64 x -1/2)))))
(/.f64 (*.f64 x (-.f64 1 (*.f64 1/4 (*.f64 x x)))) (+.f64 1 (*.f64 x -1/2)))
(/.f64 (*.f64 (-.f64 1 (*.f64 -1/8 (pow.f64 x 3))) x) (+.f64 1 (*.f64 (*.f64 x -1/2) (+.f64 1 (*.f64 x -1/2)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 1/4 (*.f64 x x))) x) (+.f64 1 (*.f64 x -1/2)))
(pow.f64 (+.f64 x (*.f64 x (*.f64 x 1/2))) 1)
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 x (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 x 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (*.f64 x (*.f64 x 1/2)))) 2)
(sqrt.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 x 1/2))) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 1 (*.f64 x 1/2))))
(cbrt.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 x 1/2))) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (*.f64 x 1/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 x 1/2)) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (+.f64 x (*.f64 x (*.f64 x 1/2)))))
(exp.f64 (+.f64 (log.f64 x) (log1p.f64 (*.f64 x 1/2))))
(log1p.f64 (expm1.f64 (+.f64 x (*.f64 x (*.f64 x 1/2)))))

simplify55.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1884×fma-def
1766×times-frac
660×associate-*r*
624×associate-*l*
428×fma-neg
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
067605
1168577
2507553
32741525
45501525
Stop Event
1×node limit
Counts
31 → 34
Calls
Call 1
Inputs
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 x (*.f64 x (*.f64 x 1/2)))
(+.f64 x (*.f64 (*.f64 x 1/2) x))
(-.f64 (+.f64 1 (+.f64 x (*.f64 x (*.f64 x 1/2)))) 1)
(/.f64 (*.f64 x (-.f64 1 (*.f64 -1/8 (pow.f64 x 3)))) (+.f64 1 (*.f64 (*.f64 x -1/2) (+.f64 1 (*.f64 x -1/2)))))
(/.f64 (*.f64 x (-.f64 1 (*.f64 1/4 (*.f64 x x)))) (+.f64 1 (*.f64 x -1/2)))
(/.f64 (*.f64 (-.f64 1 (*.f64 -1/8 (pow.f64 x 3))) x) (+.f64 1 (*.f64 (*.f64 x -1/2) (+.f64 1 (*.f64 x -1/2)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 1/4 (*.f64 x x))) x) (+.f64 1 (*.f64 x -1/2)))
(pow.f64 (+.f64 x (*.f64 x (*.f64 x 1/2))) 1)
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 x (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 x 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (*.f64 x (*.f64 x 1/2)))) 2)
(sqrt.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 x 1/2))) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 1 (*.f64 x 1/2))))
(cbrt.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 x 1/2))) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (*.f64 x 1/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 x 1/2)) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (+.f64 x (*.f64 x (*.f64 x 1/2)))))
(exp.f64 (+.f64 (log.f64 x) (log1p.f64 (*.f64 x 1/2))))
(log1p.f64 (expm1.f64 (+.f64 x (*.f64 x (*.f64 x 1/2)))))
Outputs
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(fma.f64 1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x 1/2 1))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(fma.f64 1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x 1/2 1))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(fma.f64 1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x 1/2 1))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(fma.f64 1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x 1/2 1))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(fma.f64 1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x 1/2 1))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(fma.f64 1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x 1/2 1))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(fma.f64 1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x 1/2 1))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(fma.f64 1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x 1/2 1))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(fma.f64 1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x 1/2 1))
(+.f64 x (*.f64 x (*.f64 x 1/2)))
(fma.f64 1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x 1/2 1))
(+.f64 x (*.f64 (*.f64 x 1/2) x))
(fma.f64 1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x 1/2 1))
(-.f64 (+.f64 1 (+.f64 x (*.f64 x (*.f64 x 1/2)))) 1)
(fma.f64 1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x 1/2 1))
(/.f64 (*.f64 x (-.f64 1 (*.f64 -1/8 (pow.f64 x 3)))) (+.f64 1 (*.f64 (*.f64 x -1/2) (+.f64 1 (*.f64 x -1/2)))))
(/.f64 x (/.f64 (+.f64 1 (*.f64 (*.f64 x -1/2) (+.f64 1 (*.f64 x -1/2)))) (-.f64 1 (*.f64 -1/8 (pow.f64 x 3)))))
(*.f64 (/.f64 x (fma.f64 (*.f64 x -1/2) (fma.f64 x -1/2 1) 1)) (+.f64 1 (*.f64 (pow.f64 x 3) 1/8)))
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 3) 1/8 1) (fma.f64 x (+.f64 -1/2 (*.f64 x 1/4)) 1)))
(/.f64 (fma.f64 1/8 (pow.f64 x 4) x) (fma.f64 x (fma.f64 x 1/4 -1/2) 1))
(/.f64 (*.f64 x (-.f64 1 (*.f64 1/4 (*.f64 x x)))) (+.f64 1 (*.f64 x -1/2)))
(/.f64 x (/.f64 (+.f64 1 (*.f64 x -1/2)) (-.f64 1 (*.f64 (*.f64 x x) 1/4))))
(*.f64 (/.f64 x (fma.f64 x -1/2 1)) (-.f64 1 (*.f64 x (*.f64 x 1/4))))
(/.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/4)) (fma.f64 x -1/2 1))
(/.f64 (fma.f64 (pow.f64 x 3) -1/4 x) (fma.f64 x -1/2 1))
(/.f64 (*.f64 (-.f64 1 (*.f64 -1/8 (pow.f64 x 3))) x) (+.f64 1 (*.f64 (*.f64 x -1/2) (+.f64 1 (*.f64 x -1/2)))))
(/.f64 x (/.f64 (+.f64 1 (*.f64 (*.f64 x -1/2) (+.f64 1 (*.f64 x -1/2)))) (-.f64 1 (*.f64 -1/8 (pow.f64 x 3)))))
(*.f64 (/.f64 x (fma.f64 (*.f64 x -1/2) (fma.f64 x -1/2 1) 1)) (+.f64 1 (*.f64 (pow.f64 x 3) 1/8)))
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 3) 1/8 1) (fma.f64 x (+.f64 -1/2 (*.f64 x 1/4)) 1)))
(/.f64 (fma.f64 1/8 (pow.f64 x 4) x) (fma.f64 x (fma.f64 x 1/4 -1/2) 1))
(/.f64 (*.f64 (-.f64 1 (*.f64 1/4 (*.f64 x x))) x) (+.f64 1 (*.f64 x -1/2)))
(/.f64 x (/.f64 (+.f64 1 (*.f64 x -1/2)) (-.f64 1 (*.f64 (*.f64 x x) 1/4))))
(*.f64 (/.f64 x (fma.f64 x -1/2 1)) (-.f64 1 (*.f64 x (*.f64 x 1/4))))
(/.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/4)) (fma.f64 x -1/2 1))
(/.f64 (fma.f64 (pow.f64 x 3) -1/4 x) (fma.f64 x -1/2 1))
(pow.f64 (+.f64 x (*.f64 x (*.f64 x 1/2))) 1)
(fma.f64 1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x 1/2 1))
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 x (*.f64 x 1/2)))) 3)
(fma.f64 1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x 1/2 1))
(pow.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 x 1/2))) 3) 1/3)
(fma.f64 1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x 1/2 1))
(pow.f64 (sqrt.f64 (+.f64 x (*.f64 x (*.f64 x 1/2)))) 2)
(fma.f64 1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x 1/2 1))
(sqrt.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 x 1/2))) 2))
(fma.f64 1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x 1/2 1))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 1 (*.f64 x 1/2))))
(fma.f64 1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x 1/2 1))
(cbrt.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 x 1/2))) 3))
(fma.f64 1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x 1/2 1))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (*.f64 x 1/2)) 3)))
(fma.f64 1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x 1/2 1))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 x 1/2)) 3) (pow.f64 x 3)))
(fma.f64 1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x 1/2 1))
(expm1.f64 (log1p.f64 (+.f64 x (*.f64 x (*.f64 x 1/2)))))
(fma.f64 1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x 1/2 1))
(exp.f64 (+.f64 (log.f64 x) (log1p.f64 (*.f64 x 1/2))))
(*.f64 x (exp.f64 (log1p.f64 (*.f64 x 1/2))))
(log1p.f64 (expm1.f64 (+.f64 x (*.f64 x (*.f64 x 1/2)))))
(fma.f64 1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x 1/2 1))

eval10.0ms (0.1%)

Compiler

Compiled 445 to 342 computations (23.1% saved)

prune16.0ms (0.2%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New34034
Fresh011
Picked011
Done055
Total34741
Accurracy
100.0%
Counts
41 → 7
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)))
✓99.3%
(-.f64 -1 (*.f64 x (-.f64 1 (*.f64 x -1/2))))
✓98.6%
(-.f64 -1 x)
✓99.5%
(+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) (+.f64 (*.f64 x -5/12) -1/2)))
✓99.3%
(+.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))
97.5%
-1
Compiler

Compiled 133 to 93 computations (30.1% saved)

regimes157.0ms (1.7%)

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

152.0ms
x
3.0ms
(/.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 88 to 59 computations (33% saved)

regimes7.0ms (0.1%)

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

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
99.5%1x
Compiler

Compiled 63 to 41 computations (34.9% saved)

regimes5.0ms (0%)

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

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
99.3%1x
Compiler

Compiled 25 to 18 computations (28% saved)

regimes244.0ms (2.6%)

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:

243.0ms
x
Results
AccuracySegmentsBranch
99.3%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
98.6%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:

2.0ms
x
Results
AccuracySegmentsBranch
97.5%1x
Compiler

Compiled 4 to 3 computations (25% saved)

simplify20.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
122×distribute-lft-neg-in
100×unsub-neg
80×neg-mul-1
66×neg-sub0
50×distribute-rgt-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024114
145114
264114
377114
4106114
5151114
6204114
7265114
8325114
9374114
10402114
11421114
12426114
13427114
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 -1 (*.f64 x (-.f64 1 (*.f64 x -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 -1 (*.f64 x (-.f64 1 (*.f64 x -1/2))))
(+.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))
(-.f64 -1 x)
-1
Compiler

Compiled 47 to 35 computations (25.5% saved)

soundness445.0ms (4.7%)

Rules
1498×unswap-sqr
1386×fma-def
1186×log-prod
938×associate-*r*
938×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01021
11619
22119
32819
43619
54619
66019
77619
88019
02736618
18006024
227125724
02736618
18006024
227125724
04238418
110516846
237856764
01250
127142
2383642
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
1×saturated
Compiler

Compiled 411 to 313 computations (23.8% saved)

end0.0ms (0%)

preprocess65.0ms (0.7%)

Compiler

Compiled 138 to 102 computations (26.1% saved)

Profiling

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