qlog (example 3.10)

Time bar (total: 9.3s)

analyze456.0ms (4.9%)

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

Compiled 17 to 13 computations (23.5% saved)

sample4.8s (51.5%)

Results
3.3s4125×body1024valid
863.0ms2108×body512valid
351.0ms369×body2048valid
254.0ms1654×body256valid
Bogosity

preprocess325.0ms (3.5%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
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
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
egg-herbie
Rules
16×sub-neg
12×fma-def
10×+-commutative
associate-+l-
associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01021
11619
22119
32819
43619
54619
66019
77619
88019
Stop Event
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)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New213
Fresh101
Picked000
Done000
Total314
Accurracy
100.0%
Counts
4 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
Compiler

Compiled 14 to 10 computations (28.6% saved)

localize301.0ms (3.2%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
Compiler

Compiled 16 to 6 computations (62.5% saved)

series4.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
2.0ms
x
@inf
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
0.0ms
x
@0
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

rewrite52.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1218×pow1
1116×add-exp-log
1116×log1p-expm1-u
1116×expm1-log1p-u
1088×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0819
116415
2215615
Stop Event
node limit
Counts
1 → 30
Calls
Call 1
Inputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
Outputs
(-.f64 (+.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x))) 1)
(*.f64 (log1p.f64 x) (/.f64 1 (log1p.f64 x)))
(*.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(*.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x)))
(*.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 (pow.f64 (cbrt.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 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (sqrt.f64 (log1p.f64 x))) (/.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.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 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (/.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)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.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))
(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))))

simplify53.0ms (0.6%)

Algorithm
egg-herbie
Rules
1172×associate-/r*
1032×fma-def
852×times-frac
590×associate-/l*
574×associate--r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01882430
15862216
217722030
Stop Event
node limit
Counts
42 → 73
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 (*.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)))))))
(-.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 (*.f64 1/3 (/.f64 1 (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x))))))) (+.f64 (*.f64 1/2 (/.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 3)))) (+.f64 (*.f64 1/3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 3)))) (+.f64 (*.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 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.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))) (log.f64 (/.f64 1 x)))))) (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3)))) (+.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 (log.f64 -1) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x))))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) x)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (*.f64 1/2 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) x))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (*.f64 1/2 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) x)) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (*.f64 1/3 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))))) (pow.f64 x 3))))))
(-.f64 (+.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x))) 1)
(*.f64 (log1p.f64 x) (/.f64 1 (log1p.f64 x)))
(*.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1)
(*.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x)))
(*.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 (pow.f64 (cbrt.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 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (sqrt.f64 (log1p.f64 x))) (/.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.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 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (/.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)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.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))
(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
-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)
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1 x -1))
(fma.f64 x (*.f64 x -1/2) (-.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 -5/12 (pow.f64 x 3)))) -1)
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(fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (-.f64 (/.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2))) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)) (/.f64 1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))) (*.f64 x x)) (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (fma.f64 -1 (/.f64 (-.f64 (/.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2))) x) (neg.f64 (/.f64 (-.f64 (/.f64 1/3 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 3)) (fma.f64 -1 (/.f64 (-.f64 (/.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2))) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)) (fma.f64 1/3 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)) (+.f64 (/.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)) (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2))) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))))))) (pow.f64 x 3))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (-.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) x)) (/.f64 (-.f64 (/.f64 1/3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)) (-.f64 (fma.f64 1/3 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (fma.f64 -1/2 (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) (/.f64 1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)))) (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)) (/.f64 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))) (pow.f64 x 3))) (/.f64 (-.f64 (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)))) (*.f64 x x)))
(-.f64 (-.f64 (/.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (-.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) x)) (+.f64 (/.f64 (-.f64 (/.f64 1/3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)) (+.f64 (fma.f64 1/3 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) (*.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) (+.f64 -1/2 (/.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))))) (pow.f64 x 3)) (/.f64 (+.f64 (-.f64 (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) (*.f64 x x))))
(-.f64 (+.f64 1 (/.f64 (log1p.f64 x) (log1p.f64 x))) 1)
1
(*.f64 (log1p.f64 x) (/.f64 1 (log1p.f64 x)))
1
(*.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) 1)
1
(*.f64 1 (/.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))
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 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (*.f64 (cbrt.f64 (log1p.f64 x)) (/.f64 1 (log1p.f64 x))))
1
(*.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 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (sqrt.f64 (log1p.f64 x))) (/.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))))
1
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))))
1
(*.f64 (/.f64 1 (sqrt.f64 (log1p.f64 x))) (/.f64 (log1p.f64 x) (sqrt.f64 (log1p.f64 x))))
1
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 x)) (log1p.f64 x)))
1
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (cbrt.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
1
(*.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)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 (log1p.f64 x))))
1
(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
(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

eval54.0ms (0.6%)

Compiler

Compiled 3252 to 2322 computations (28.6% saved)

prune12.0ms (0.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New68573
Fresh000
Picked011
Done000
Total68674
Accurracy
100.0%
Counts
74 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
100.0%
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
99.5%
(-.f64 -1 x)
99.9%
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
98.9%
-1
99.9%
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
100.0%
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
99.5%
(-.f64 -1 x)
99.9%
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
98.9%
-1
Compiler

Compiled 100 to 76 computations (24% saved)

localize123.0ms (1.3%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
100.0%
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
100.0%
(*.f64 -1/2 (pow.f64 x 2))
99.8%
(*.f64 -5/12 (pow.f64 x 3))
Compiler

Compiled 115 to 79 computations (31.3% saved)

series3.0ms (0%)

Counts
3 → 12
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(*.f64 -5/12 (pow.f64 x 3))
1.0ms
x
@0
(*.f64 -5/12 (pow.f64 x 3))
0.0ms
x
@-inf
(*.f64 -5/12 (pow.f64 x 3))
0.0ms
x
@inf
(*.f64 -1/2 (pow.f64 x 2))
0.0ms
x
@0
(*.f64 -1/2 (pow.f64 x 2))

rewrite76.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1298×log-prod
754×pow-prod-down
646×pow-prod-up
644×prod-diff
570×pow-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01647
134147
2373747
Stop Event
node limit
Counts
3 → 85
Calls
Call 1
Inputs
(*.f64 -5/12 (pow.f64 x 3))
(*.f64 -1/2 (pow.f64 x 2))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
Outputs
(+.f64 0 (*.f64 -5/12 (pow.f64 x 3)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -5/12) (pow.f64 x 3))) (cbrt.f64 (pow.f64 (exp.f64 -5/12) (pow.f64 x 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -5/12) (pow.f64 x 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -5/12) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -5/12) (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -5/12 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 -5/12 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 -5/12)) 3)
(pow.f64 (*.f64 25/144 (pow.f64 x 6)) 1/2)
(pow.f64 (pow.f64 (*.f64 -5/12 (pow.f64 x 3)) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 -5/12) (pow.f64 x 3/2)) 2)
(sqrt.f64 (*.f64 25/144 (pow.f64 x 6)))
(log.f64 (pow.f64 (exp.f64 -5/12) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -5/12 (pow.f64 x 3)))))
(cbrt.f64 (pow.f64 (*.f64 -5/12 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 -5/12 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 -5/12 (pow.f64 x 3))))
(exp.f64 (*.f64 (log.f64 (*.f64 -5/12 (pow.f64 x 3))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -5/12 (pow.f64 x 3))) 1) 1))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 -5/12))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 -5/12 (pow.f64 x 3)))) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 -5/12) (pow.f64 x 3/2))) 2))
(log1p.f64 (expm1.f64 (*.f64 -5/12 (pow.f64 x 3))))
(+.f64 0 (*.f64 x (*.f64 x -1/2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -1/2)))) 1)
(pow.f64 (*.f64 x (*.f64 x -1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) 3)
(pow.f64 (*.f64 1/4 (pow.f64 x 4)) 1/2)
(pow.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2)
(pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x -1/2))) 3)
(pow.f64 (*.f64 (cbrt.f64 (*.f64 x -1/2)) (cbrt.f64 x)) 3)
(pow.f64 (*.f64 (pow.f64 (*.f64 x -1/2) 3) (pow.f64 x 3)) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (*.f64 x -1/2)) (sqrt.f64 x)) 2)
(sqrt.f64 (*.f64 1/4 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2)))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -1/2))))
(exp.f64 (fma.f64 2 (log.f64 x) (log.f64 -1/2)))
(exp.f64 (*.f64 (fma.f64 2 (log.f64 x) (log.f64 -1/2)) 1))
(exp.f64 (*.f64 (*.f64 (fma.f64 2 (log.f64 x) (log.f64 -1/2)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2)))) 3))
(exp.f64 (*.f64 (*.f64 3 (fma.f64 2 (log.f64 x) (log.f64 -1/2))) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 -1/2))) 2))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -1/2))))
(+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x))
(+.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))
(+.f64 0 (-.f64 (fma.f64 x (*.f64 x -1/2) -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 1/4 (pow.f64 x 4) (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x)))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 (-.f64 -1 x) 2)) (fma.f64 x (*.f64 x -1/2) (neg.f64 (-.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) 2) 1/2)
(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 (pow.f64 (exp.f64 -1/2) (*.f64 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 (-.f64 -1 x)) (pow.f64 (exp.f64 -1/2) (*.f64 x 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 (exp.f64 -1/2) (*.f64 x x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 -1 x))) (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2))))))
(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))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))) 2))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))

simplify80.0ms (0.9%)

Algorithm
egg-herbie
Rules
1914×fma-def
1436×fma-neg
1210×unswap-sqr
918×log-prod
578×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02292153
15311903
218791621
370731621
Stop Event
node limit
Counts
97 → 114
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)
(+.f64 0 (*.f64 -5/12 (pow.f64 x 3)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -5/12) (pow.f64 x 3))) (cbrt.f64 (pow.f64 (exp.f64 -5/12) (pow.f64 x 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -5/12) (pow.f64 x 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -5/12) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -5/12) (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -5/12 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 -5/12 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 -5/12)) 3)
(pow.f64 (*.f64 25/144 (pow.f64 x 6)) 1/2)
(pow.f64 (pow.f64 (*.f64 -5/12 (pow.f64 x 3)) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 -5/12) (pow.f64 x 3/2)) 2)
(sqrt.f64 (*.f64 25/144 (pow.f64 x 6)))
(log.f64 (pow.f64 (exp.f64 -5/12) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -5/12 (pow.f64 x 3)))))
(cbrt.f64 (pow.f64 (*.f64 -5/12 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 -5/12 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 -5/12 (pow.f64 x 3))))
(exp.f64 (*.f64 (log.f64 (*.f64 -5/12 (pow.f64 x 3))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -5/12 (pow.f64 x 3))) 1) 1))
(exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 -5/12))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 -5/12 (pow.f64 x 3)))) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 -5/12) (pow.f64 x 3/2))) 2))
(log1p.f64 (expm1.f64 (*.f64 -5/12 (pow.f64 x 3))))
(+.f64 0 (*.f64 x (*.f64 x -1/2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -1/2)))) 1)
(pow.f64 (*.f64 x (*.f64 x -1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) 3)
(pow.f64 (*.f64 1/4 (pow.f64 x 4)) 1/2)
(pow.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2)
(pow.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x -1/2))) 3)
(pow.f64 (*.f64 (cbrt.f64 (*.f64 x -1/2)) (cbrt.f64 x)) 3)
(pow.f64 (*.f64 (pow.f64 (*.f64 x -1/2) 3) (pow.f64 x 3)) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (*.f64 x -1/2)) (sqrt.f64 x)) 2)
(sqrt.f64 (*.f64 1/4 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2)))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -1/2))))
(exp.f64 (fma.f64 2 (log.f64 x) (log.f64 -1/2)))
(exp.f64 (*.f64 (fma.f64 2 (log.f64 x) (log.f64 -1/2)) 1))
(exp.f64 (*.f64 (*.f64 (fma.f64 2 (log.f64 x) (log.f64 -1/2)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2)))) 3))
(exp.f64 (*.f64 (*.f64 3 (fma.f64 2 (log.f64 x) (log.f64 -1/2))) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 -1/2))) 2))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -1/2))))
(+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x))
(+.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))
(+.f64 0 (-.f64 (fma.f64 x (*.f64 x -1/2) -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 1/4 (pow.f64 x 4) (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x)))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 (-.f64 -1 x) 2)) (fma.f64 x (*.f64 x -1/2) (neg.f64 (-.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) 2) 1/2)
(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 (pow.f64 (exp.f64 -1/2) (*.f64 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 (-.f64 -1 x)) (pow.f64 (exp.f64 -1/2) (*.f64 x 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 (exp.f64 -1/2) (*.f64 x x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 -1 x))) (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2))))))
(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))
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))) 2))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))
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 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.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 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(*.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))
(fma.f64 x (*.f64 x -1/2) (neg.f64 x))
(*.f64 x (fma.f64 x -1/2 -1))
(-.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 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.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 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(*.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))
(fma.f64 x (*.f64 x -1/2) (neg.f64 x))
(*.f64 x (fma.f64 x -1/2 -1))
(-.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 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.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 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(+.f64 0 (*.f64 -5/12 (pow.f64 x 3)))
(*.f64 -5/12 (pow.f64 x 3))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -5/12) (pow.f64 x 3))) (cbrt.f64 (pow.f64 (exp.f64 -5/12) (pow.f64 x 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -5/12) (pow.f64 x 3)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -5/12) (pow.f64 x 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -5/12) (pow.f64 x 3)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -5/12) (pow.f64 x 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -5/12) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -5/12) (pow.f64 x 3)))))
(*.f64 -5/12 (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -5/12 (pow.f64 x 3)))) 1)
(*.f64 -5/12 (pow.f64 x 3))
(pow.f64 (*.f64 -5/12 (pow.f64 x 3)) 1)
(*.f64 -5/12 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 -5/12)) 3)
(*.f64 -5/12 (pow.f64 x 3))
(pow.f64 (*.f64 25/144 (pow.f64 x 6)) 1/2)
(sqrt.f64 (*.f64 25/144 (pow.f64 x 6)))
(pow.f64 (pow.f64 (*.f64 -5/12 (pow.f64 x 3)) 3) 1/3)
(*.f64 -5/12 (pow.f64 x 3))
(pow.f64 (*.f64 (sqrt.f64 -5/12) (pow.f64 x 3/2)) 2)
(*.f64 -5/12 (pow.f64 x 3))
(sqrt.f64 (*.f64 25/144 (pow.f64 x 6)))
(log.f64 (pow.f64 (exp.f64 -5/12) (pow.f64 x 3)))
(*.f64 -5/12 (pow.f64 x 3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -5/12 (pow.f64 x 3)))))
(*.f64 -5/12 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 -5/12 (pow.f64 x 3)) 3))
(*.f64 -5/12 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 -5/12 (pow.f64 x 3))))
(*.f64 -5/12 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 -5/12 (pow.f64 x 3))))
(*.f64 -5/12 (pow.f64 x 3))
(exp.f64 (*.f64 (log.f64 (*.f64 -5/12 (pow.f64 x 3))) 1))
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(*.f64 -5/12 (pow.f64 x 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 -5/12 (pow.f64 x 3)))) 1/3))
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(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 -5/12) (pow.f64 x 3/2))) 2))
(*.f64 -5/12 (pow.f64 x 3))
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(*.f64 x (*.f64 x -1/2))
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(*.f64 x (*.f64 x -1/2))
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(*.f64 x (*.f64 x -1/2))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -1/2))))
(*.f64 x (*.f64 x -1/2))
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(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
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(+.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))
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(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
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(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
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(+.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 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))) (cbrt.f64 (exp.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1)))))
(+.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 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1)))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(*.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(*.f64 1 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(*.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 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(*.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 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(*.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 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3) (pow.f64 (-.f64 -1 x) 3)) (fma.f64 1/4 (pow.f64 x 4) (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3) (pow.f64 (-.f64 -1 x) 3)) (fma.f64 1/4 (pow.f64 x 4) (-.f64 (pow.f64 (-.f64 -1 x) 2) (*.f64 x (*.f64 (*.f64 x -1/2) (-.f64 -1 x))))))
(/.f64 (+.f64 (*.f64 (pow.f64 x 6) -1/8) (pow.f64 (-.f64 -1 x) 3)) (fma.f64 1/4 (pow.f64 x 4) (*.f64 (-.f64 -1 x) (+.f64 (-.f64 -1 x) (*.f64 (*.f64 x x) 1/2)))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)) (fma.f64 (-.f64 -1 x) (+.f64 (-.f64 -1 x) (*.f64 x (*.f64 x 1/2))) (*.f64 1/4 (pow.f64 x 4))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 (-.f64 -1 x) 2)) (fma.f64 x (*.f64 x -1/2) (neg.f64 (-.f64 -1 x))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 (-.f64 -1 x) 2)) (fma.f64 x (*.f64 x -1/2) (+.f64 1 x)))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 x 4)) (pow.f64 (-.f64 -1 x) 2)) (fma.f64 x (*.f64 x -1/2) (+.f64 x 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)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(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)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(pow.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 2) 1/2)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(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)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(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)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(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)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(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)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(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)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(log.f64 (*.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)) (+.f64 1 (expm1.f64 (-.f64 -1 x)))))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2)))) (exp.f64 (-.f64 -1 x))))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(log.f64 (*.f64 (+.f64 1 (expm1.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)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(log.f64 (*.f64 (exp.f64 (-.f64 -1 x)) (pow.f64 (exp.f64 -1/2) (*.f64 x x))))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(log.f64 (*.f64 (exp.f64 (-.f64 -1 x)) (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2))))))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 -1 x))) (pow.f64 (exp.f64 -1/2) (*.f64 x x))))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 -1 x))) (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2))))))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(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)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(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)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(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)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(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)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 1) 1))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(exp.f64 (*.f64 (log.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)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(exp.f64 (*.f64 (log.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)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(exp.f64 (*.f64 (log.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)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(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)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(fma.f64 x (fma.f64 x -1/2 -1) -1)

eval195.0ms (2.1%)

Compiler

Compiled 1966 to 1539 computations (21.7% saved)

prune253.0ms (2.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1113114
Fresh011
Picked224
Done011
Total1137120
Accurracy
100.0%
Counts
120 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
99.9%
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
100.0%
(-.f64 (+.f64 (+.f64 0 (*.f64 x (*.f64 x -1/2))) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
99.5%
(-.f64 -1 x)
99.9%
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
99.9%
(+.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))
98.9%
-1
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
99.9%
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
100.0%
(-.f64 (+.f64 (+.f64 0 (*.f64 x (*.f64 x -1/2))) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
99.5%
(-.f64 -1 x)
99.9%
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
99.9%
(+.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))
98.9%
-1
Compiler

Compiled 124 to 92 computations (25.8% saved)

localize137.0ms (1.5%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
100.0%
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
99.8%
(*.f64 -5/12 (pow.f64 x 3))
100.0%
(+.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))
Compiler

Compiled 123 to 89 computations (27.6% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite116.0ms (1.3%)

Algorithm
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
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))
(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))
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(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))

simplify138.0ms (1.5%)

Algorithm
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
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)
(-.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 -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)))
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(/.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)))))
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(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)
(*.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 -1 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 x (*.f64 x -1/2) -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 (fma.f64 (pow.f64 (*.f64 x x) 3) -1/8 (pow.f64 (-.f64 -1 x) 3)) 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 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)) (fma.f64 (*.f64 x (*.f64 x -1/2)) (fma.f64 x (*.f64 x -1/2) (+.f64 1 x)) (pow.f64 (-.f64 -1 x) 2)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)) (fma.f64 (pow.f64 x 4) 1/4 (*.f64 (-.f64 -1 x) (+.f64 -1 (*.f64 x (+.f64 -1 (*.f64 x 1/2)))))))
(*.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 (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 (-.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 (-.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) 2) (*.f64 x x)) (/.f64 1 (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 (+.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 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) 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 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) -1/8 (pow.f64 (-.f64 -1 x) 3)) 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 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)) (fma.f64 (*.f64 x (*.f64 x -1/2)) (fma.f64 x (*.f64 x -1/2) (+.f64 1 x)) (pow.f64 (-.f64 -1 x) 2)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)) (fma.f64 (pow.f64 x 4) 1/4 (*.f64 (-.f64 -1 x) (+.f64 -1 (*.f64 x (+.f64 -1 (*.f64 x 1/2)))))))
(/.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 (-.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 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))))
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(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))
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) -1/8 (pow.f64 (-.f64 -1 x) 3)) 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 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)) (fma.f64 (*.f64 x (*.f64 x -1/2)) (fma.f64 x (*.f64 x -1/2) (+.f64 1 x)) (pow.f64 (-.f64 -1 x) 2)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)) (fma.f64 (pow.f64 x 4) 1/4 (*.f64 (-.f64 -1 x) (+.f64 -1 (*.f64 x (+.f64 -1 (*.f64 x 1/2)))))))
(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))
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) -1/8 (pow.f64 (-.f64 -1 x) 3)) 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 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)) (fma.f64 (*.f64 x (*.f64 x -1/2)) (fma.f64 x (*.f64 x -1/2) (+.f64 1 x)) (pow.f64 (-.f64 -1 x) 2)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)) (fma.f64 (pow.f64 x 4) 1/4 (*.f64 (-.f64 -1 x) (+.f64 -1 (*.f64 x (+.f64 -1 (*.f64 x 1/2)))))))
(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))
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) -1/8 (pow.f64 (-.f64 -1 x) 3)) 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 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)) (fma.f64 (*.f64 x (*.f64 x -1/2)) (fma.f64 x (*.f64 x -1/2) (+.f64 1 x)) (pow.f64 (-.f64 -1 x) 2)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)) (fma.f64 (pow.f64 x 4) 1/4 (*.f64 (-.f64 -1 x) (+.f64 -1 (*.f64 x (+.f64 -1 (*.f64 x 1/2)))))))
(fma.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 -1 x) 1)) (*.f64 x (*.f64 x -1/2)))
(+.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 (-.f64 -1 (pow.f64 x 3)) (fma.f64 x (+.f64 -1 x) 1)))
(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))
(/.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)))
(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))
(/.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)))
(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))
(/.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)))
(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))
(/.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)))
(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))
(/.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)))
(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))
(/.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)))
(fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 -1 x)) (*.f64 x (*.f64 x -1/2)))
(+.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 (-.f64 1 (*.f64 x x)) (+.f64 -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 x) 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)))
(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))
(/.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)))
(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))
(/.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)))
(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))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (fma.f64 x (*.f64 x -1/2) -1))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 x (*.f64 x -1/2) -1))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 x (*.f64 x -1/2) -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 x) 1 x))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 x (*.f64 x -1/2) -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))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 x (*.f64 x -1/2) -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)) (+.f64 (neg.f64 x) x))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) 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 (fma.f64 x (sqrt.f64 -1/2) 1) (fma.f64 x (sqrt.f64 -1/2) -1) (neg.f64 x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 x (*.f64 x -1/2) -1))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 (*.f64 x (cbrt.f64 (*.f64 1/4 (*.f64 x x)))) (cbrt.f64 (*.f64 x -1/2)) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (*.f64 x (cbrt.f64 (*.f64 x -1/2))) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/4))) (*.f64 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))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 (*.f64 (*.f64 x -1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (-.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)
(fma.f64 (*.f64 (*.f64 x -1/2) (sqrt.f64 x)) (sqrt.f64 x) (-.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)
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 x (*.f64 x -1/2) -1))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 (*.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 x (*.f64 x -1/2) -1))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)

eval101.0ms (1.1%)

Compiler

Compiled 4098 to 2864 computations (30.1% saved)

prune27.0ms (0.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New2132215
Fresh011
Picked213
Done123
Total2166222
Accurracy
100.0%
Counts
222 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
100.0%
(-.f64 (+.f64 (+.f64 0 (*.f64 x (*.f64 x -1/2))) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
99.9%
(-.f64 -1 (*.f64 x (-.f64 1 (*.f64 x -1/2))))
99.5%
(-.f64 -1 x)
99.9%
(+.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 (-.f64 1 (*.f64 x x)) (+.f64 -1 x)))
98.9%
-1
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
100.0%
(-.f64 (+.f64 (+.f64 0 (*.f64 x (*.f64 x -1/2))) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
99.9%
(-.f64 -1 (*.f64 x (-.f64 1 (*.f64 x -1/2))))
99.5%
(-.f64 -1 x)
99.9%
(+.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 (-.f64 1 (*.f64 x x)) (+.f64 -1 x)))
98.9%
-1
Compiler

Compiled 118 to 90 computations (23.7% saved)

localize71.0ms (0.8%)

Local Accuracy

Found 3 expressions with local accuracy:

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

Compiled 77 to 50 computations (35.1% saved)

series3.0ms (0%)

Counts
3 → 36
Calls

9 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)))
0.0ms
x
@inf
(/.f64 (-.f64 1 (*.f64 x x)) (+.f64 -1 x))
0.0ms
x
@0
(+.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 (-.f64 1 (*.f64 x x)) (+.f64 -1 x)))

rewrite98.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
1682×log-prod
1324×fma-def
654×fma-neg
596×expm1-udef
588×log1p-udef
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01583
134647
2498743
Stop Event
node limit
Counts
3 → 161
Calls
Call 1
Inputs
(+.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 (-.f64 1 (*.f64 x x)) (+.f64 -1 x)))
(/.f64 (-.f64 1 (*.f64 x x)) (+.f64 -1 x))
(*.f64 x (-.f64 1 (*.f64 x -1/2)))
Outputs
(-.f64 (/.f64 1 (+.f64 x -1)) (-.f64 (/.f64 x (/.f64 (+.f64 x -1) x)) (*.f64 x (*.f64 x -1/2))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/4) (fma.f64 x (*.f64 x -1/2) (neg.f64 (-.f64 -1 x)))) (/.f64 (pow.f64 (-.f64 -1 x) 2) (fma.f64 x (*.f64 x -1/2) (neg.f64 (-.f64 -1 x)))))
(-.f64 (fma.f64 x (*.f64 x -1/2) (/.f64 1 (+.f64 x -1))) (/.f64 x (/.f64 (+.f64 x -1) x)))
(*.f64 1 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))
(*.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)) 1)
(*.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 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)) (/.f64 1 (fma.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2))) (*.f64 (pow.f64 x 4) 1/4))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 (-.f64 -1 x) 2)) (/.f64 1 (fma.f64 x (*.f64 x -1/2) (neg.f64 (-.f64 -1 x)))))
(/.f64 1 (/.f64 (fma.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2))) (*.f64 (pow.f64 x 4) 1/4)) (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3))))
(/.f64 1 (/.f64 (fma.f64 x (*.f64 x -1/2) (neg.f64 (-.f64 -1 x))) (-.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 (-.f64 -1 x) 2))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)) (fma.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2))) (*.f64 (pow.f64 x 4) 1/4)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)) (+.f64 (pow.f64 (-.f64 -1 x) 2) (-.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 (*.f64 x -1/2) (*.f64 x (-.f64 -1 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 (neg.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3))) (neg.f64 (fma.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2))) (*.f64 (pow.f64 x 4) 1/4))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 (-.f64 -1 x) 2))) (neg.f64 (fma.f64 x (*.f64 x -1/2) (neg.f64 (-.f64 -1 x)))))
(/.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))))
(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)
(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 (pow.f64 (exp.f64 x) (*.f64 x -1/2)) (+.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 (-.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 (exp.f64 x) (*.f64 x -1/2))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 -1 x))) (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2))))))
(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))
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(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 1 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x))
(fma.f64 1 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))
(fma.f64 1 (/.f64 1 (+.f64 x -1)) (neg.f64 (-.f64 (/.f64 x (/.f64 (+.f64 x -1) x)) (*.f64 x (*.f64 x -1/2)))))
(fma.f64 (*.f64 x x) -1/2 (-.f64 -1 x))
(fma.f64 (fma.f64 x (neg.f64 x) 1) (/.f64 1 (+.f64 x -1)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (-.f64 -1 x) 1 (*.f64 x (*.f64 x -1/2)))
(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 (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 2) (*.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) (/.f64 1 (+.f64 x -1))) (*.f64 x (*.f64 x -1/2)))
(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 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x -1/2)) (-.f64 -1 x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) (-.f64 -1 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -1/2)) 2) (*.f64 (cbrt.f64 (*.f64 x -1/2)) x) (-.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 (neg.f64 x) 1)) (*.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) (/.f64 1 (+.f64 x -1))) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 x (sqrt.f64 -1/2)) (-.f64 -1 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x -1/2)) (-.f64 -1 x))
(fma.f64 (sqrt.f64 (*.f64 x -1/2)) (*.f64 (sqrt.f64 (*.f64 x -1/2)) x) (-.f64 -1 x))
(fma.f64 (neg.f64 (fma.f64 x (neg.f64 x) 1)) (/.f64 1 (fma.f64 x -1 1)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (/.f64 1 (+.f64 x -1)) (fma.f64 x (neg.f64 x) 1) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 x -1))) (cbrt.f64 (/.f64 1 (+.f64 x -1)))) (cbrt.f64 (/.f64 1 (+.f64 x -1))) (neg.f64 (-.f64 (/.f64 x (/.f64 (+.f64 x -1) x)) (*.f64 x (*.f64 x -1/2)))))
(fma.f64 (sqrt.f64 (/.f64 1 (+.f64 x -1))) (sqrt.f64 (/.f64 1 (+.f64 x -1))) (neg.f64 (-.f64 (/.f64 x (/.f64 (+.f64 x -1) x)) (*.f64 x (*.f64 x -1/2)))))
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (/.f64 (fma.f64 x (neg.f64 x) 1) (cbrt.f64 (+.f64 x -1))) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (/.f64 1 (sqrt.f64 (+.f64 x -1))) (/.f64 (fma.f64 x (neg.f64 x) 1) (sqrt.f64 (+.f64 x -1))) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) (+.f64 x -1)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 2) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (cbrt.f64 (-.f64 -1 x)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 2) (sqrt.f64 (+.f64 x -1))) (/.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) (sqrt.f64 (+.f64 x -1))) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1) (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) (+.f64 x -1)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) (cbrt.f64 (+.f64 x -1))) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (/.f64 1 (fma.f64 x (neg.f64 x) 1)) (-.f64 -1 x) (neg.f64 (-.f64 (/.f64 x (/.f64 (+.f64 x -1) x)) (*.f64 x (*.f64 x -1/2)))))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 x -1/2)) 2)) (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 (fma.f64 x (neg.f64 x) 1) (fma.f64 x (neg.f64 x) 1)) (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (/.f64 (fma.f64 x (neg.f64 x) 1) (+.f64 -1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)) (neg.f64 (-.f64 (/.f64 x (/.f64 (+.f64 x -1) x)) (*.f64 x (*.f64 x -1/2)))))
(+.f64 -1 (neg.f64 x))
(+.f64 0 (-.f64 -1 x))
(+.f64 (/.f64 1 (+.f64 x -1)) (neg.f64 (/.f64 x (/.f64 (+.f64 x -1) x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 -1 x))) (cbrt.f64 (exp.f64 (-.f64 -1 x))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 -1 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 -1 x)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 -1 x)))))
(-.f64 -1 x)
(-.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (/.f64 (+.f64 x -1) x)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 -1 x))) 1)
(*.f64 1 (-.f64 -1 x))
(*.f64 (fma.f64 x (neg.f64 x) 1) (/.f64 1 (+.f64 x -1)))
(*.f64 (-.f64 -1 x) 1)
(*.f64 (cbrt.f64 (-.f64 -1 x)) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (cbrt.f64 (-.f64 -1 x)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 2) (*.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) (/.f64 1 (+.f64 x -1))))
(*.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (-.f64 -1 x)))
(*.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) (*.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) (/.f64 1 (+.f64 x -1))))
(*.f64 (neg.f64 (fma.f64 x (neg.f64 x) 1)) (/.f64 1 (fma.f64 x -1 1)))
(*.f64 (/.f64 1 (+.f64 x -1)) (fma.f64 x (neg.f64 x) 1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (/.f64 (fma.f64 x (neg.f64 x) 1) (cbrt.f64 (+.f64 x -1))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x -1))) (/.f64 (fma.f64 x (neg.f64 x) 1) (sqrt.f64 (+.f64 x -1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) (+.f64 x -1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 2) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (cbrt.f64 (-.f64 -1 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) 2) (sqrt.f64 (+.f64 x -1))) (/.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) (sqrt.f64 (+.f64 x -1))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1) (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) (+.f64 x -1)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (/.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) (cbrt.f64 (+.f64 x -1))))
(*.f64 (/.f64 (fma.f64 x (neg.f64 x) 1) (fma.f64 x (neg.f64 x) 1)) (-.f64 -1 x))
(*.f64 (/.f64 (fma.f64 x (neg.f64 x) 1) (+.f64 -1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(pow.f64 (-.f64 -1 x) 1)
(pow.f64 (cbrt.f64 (-.f64 -1 x)) 3)
(pow.f64 (pow.f64 (-.f64 -1 x) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 -1 x)) 2)
(pow.f64 (/.f64 1 (-.f64 -1 x)) -1)
(neg.f64 (/.f64 (fma.f64 x (neg.f64 x) 1) (fma.f64 x -1 1)))
(sqrt.f64 (pow.f64 (-.f64 -1 x) 2))
(log.f64 (exp.f64 (-.f64 -1 x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 -1 x))))
(cbrt.f64 (pow.f64 (-.f64 -1 x) 3))
(expm1.f64 (log1p.f64 (-.f64 -1 x)))
(exp.f64 (log.f64 (-.f64 -1 x)))
(exp.f64 (*.f64 (log.f64 (-.f64 -1 x)) 1))
(log1p.f64 (expm1.f64 (-.f64 -1 x)))
(fma.f64 1 (/.f64 1 (+.f64 x -1)) (neg.f64 (/.f64 x (/.f64 (+.f64 x -1) x))))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 x -1))) (cbrt.f64 (/.f64 1 (+.f64 x -1)))) (cbrt.f64 (/.f64 1 (+.f64 x -1))) (neg.f64 (/.f64 x (/.f64 (+.f64 x -1) x))))
(fma.f64 (sqrt.f64 (/.f64 1 (+.f64 x -1))) (sqrt.f64 (/.f64 1 (+.f64 x -1))) (neg.f64 (/.f64 x (/.f64 (+.f64 x -1) x))))
(fma.f64 (/.f64 1 (fma.f64 x (neg.f64 x) 1)) (-.f64 -1 x) (neg.f64 (/.f64 x (/.f64 (+.f64 x -1) x))))
(fma.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)) (neg.f64 (/.f64 x (/.f64 (+.f64 x -1) x))))
(+.f64 x (*.f64 x (*.f64 x 1/2)))
(+.f64 x (*.f64 (*.f64 x 1/2) x))
(+.f64 0 (*.f64 x (fma.f64 x 1/2 1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/2 1))) (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/2 1))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/2 1)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/2 1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/2 1)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/2 1)))) 1)
(/.f64 (*.f64 x (-.f64 1 (*.f64 -1/8 (pow.f64 x 3)))) (fma.f64 (*.f64 x -1/2) (fma.f64 x -1/2 1) 1))
(/.f64 (*.f64 x (-.f64 1 (*.f64 (*.f64 x x) 1/4))) (fma.f64 x -1/2 1))
(/.f64 (*.f64 (-.f64 1 (*.f64 -1/8 (pow.f64 x 3))) x) (fma.f64 (*.f64 x -1/2) (fma.f64 x -1/2 1) 1))
(/.f64 (*.f64 (-.f64 1 (*.f64 (*.f64 x x) 1/4)) x) (fma.f64 x -1/2 1))
(pow.f64 (*.f64 x (fma.f64 x 1/2 1)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/2 1))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 1/2 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/2 1))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/2 1)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/2 1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 1/2 1)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/2 1)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 1/2 1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x 1/2 1) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/2 1))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x 1/2 1))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x 1/2 1))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 1/2 1))))
(fma.f64 x 1 (*.f64 x (*.f64 x 1/2)))
(fma.f64 x 1 (*.f64 (*.f64 x 1/2) x))
(fma.f64 1 x (*.f64 x (*.f64 x 1/2)))
(fma.f64 1 x (*.f64 (*.f64 x 1/2) x))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 x (*.f64 x 1/2)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 x 1/2) x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x (*.f64 x 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (*.f64 x 1/2) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (*.f64 x 1/2)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 x 1/2) x))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (*.f64 x 1/2)))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (*.f64 x 1/2) x))

simplify84.0ms (0.9%)

Algorithm
egg-herbie
Rules
1068×unswap-sqr
820×times-frac
712×cancel-sign-sub-inv
650×associate-+r+
438×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03575431
18285161
229165043
Stop Event
node limit
Counts
197 → 246
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)
(-.f64 (*.f64 -1 x) 1)
(-.f64 (*.f64 -1 x) 1)
(*.f64 -1 x)
(-.f64 (*.f64 -1 x) 1)
(-.f64 (*.f64 -1 x) 1)
(-.f64 (*.f64 -1 x) 1)
(*.f64 -1 x)
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(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 1/2 1))))
(fma.f64 x 1 (*.f64 x (*.f64 x 1/2)))
(fma.f64 x 1 (*.f64 (*.f64 x 1/2) x))
(fma.f64 1 x (*.f64 x (*.f64 x 1/2)))
(fma.f64 1 x (*.f64 (*.f64 x 1/2) x))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 x (*.f64 x 1/2)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 x 1/2) x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x (*.f64 x 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (*.f64 x 1/2) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (*.f64 x 1/2)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 x 1/2) x))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 x (*.f64 x 1/2)))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (*.f64 x 1/2) x))
Outputs
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 -1 x)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(-.f64 -1 (fma.f64 1/2 (*.f64 x x) x))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(-.f64 -1 (fma.f64 1/2 (*.f64 x x) x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/2))
(*.f64 -1/2 (*.f64 x x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(fma.f64 -1/2 (*.f64 x x) (neg.f64 x))
(fma.f64 x (*.f64 x -1/2) (neg.f64 x))
(-.f64 (*.f64 -1/2 (*.f64 x x)) x)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(-.f64 -1 (fma.f64 1/2 (*.f64 x x) x))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(-.f64 -1 (fma.f64 1/2 (*.f64 x x) x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 x (*.f64 x -1/2))
(*.f64 -1/2 (*.f64 x x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(fma.f64 -1/2 (*.f64 x x) (neg.f64 x))
(fma.f64 x (*.f64 x -1/2) (neg.f64 x))
(-.f64 (*.f64 -1/2 (*.f64 x x)) x)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(-.f64 -1 (fma.f64 1/2 (*.f64 x x) x))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(-.f64 -1 (fma.f64 1/2 (*.f64 x x) x))
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 -1 x)
(-.f64 (*.f64 -1 x) 1)
(-.f64 -1 x)
(-.f64 (*.f64 -1 x) 1)
(-.f64 -1 x)
(*.f64 -1 x)
(neg.f64 x)
(-.f64 (*.f64 -1 x) 1)
(-.f64 -1 x)
(-.f64 (*.f64 -1 x) 1)
(-.f64 -1 x)
(-.f64 (*.f64 -1 x) 1)
(-.f64 -1 x)
(*.f64 -1 x)
(neg.f64 x)
(-.f64 (*.f64 -1 x) 1)
(-.f64 -1 x)
(-.f64 (*.f64 -1 x) 1)
(-.f64 -1 x)
(-.f64 (*.f64 -1 x) 1)
(-.f64 -1 x)
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(*.f64 x (fma.f64 x 1/2 1))
(fma.f64 1/2 (*.f64 x x) x)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(*.f64 x (fma.f64 x 1/2 1))
(fma.f64 1/2 (*.f64 x x) x)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(*.f64 x (fma.f64 x 1/2 1))
(fma.f64 1/2 (*.f64 x x) x)
(*.f64 1/2 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/2))
(*.f64 1/2 (*.f64 x x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(*.f64 x (fma.f64 x 1/2 1))
(fma.f64 1/2 (*.f64 x x) x)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(*.f64 x (fma.f64 x 1/2 1))
(fma.f64 1/2 (*.f64 x x) x)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(*.f64 x (fma.f64 x 1/2 1))
(fma.f64 1/2 (*.f64 x x) x)
(*.f64 1/2 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/2))
(*.f64 1/2 (*.f64 x x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(*.f64 x (fma.f64 x 1/2 1))
(fma.f64 1/2 (*.f64 x x) x)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(*.f64 x (fma.f64 x 1/2 1))
(fma.f64 1/2 (*.f64 x x) x)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(*.f64 x (fma.f64 x 1/2 1))
(fma.f64 1/2 (*.f64 x x) x)
(-.f64 (/.f64 1 (+.f64 x -1)) (-.f64 (/.f64 x (/.f64 (+.f64 x -1) x)) (*.f64 x (*.f64 x -1/2))))
(+.f64 (-.f64 (/.f64 1 (+.f64 -1 x)) (*.f64 (/.f64 x (+.f64 -1 x)) x)) (*.f64 x (*.f64 x -1/2)))
(-.f64 (/.f64 1 (+.f64 -1 x)) (*.f64 x (-.f64 (/.f64 x (+.f64 -1 x)) (*.f64 x -1/2))))
(-.f64 (/.f64 1 (+.f64 -1 x)) (*.f64 x (+.f64 (/.f64 x (+.f64 -1 x)) (*.f64 x 1/2))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))) 1)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(-.f64 -1 (fma.f64 1/2 (*.f64 x x) x))
(-.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/4) (fma.f64 x (*.f64 x -1/2) (neg.f64 (-.f64 -1 x)))) (/.f64 (pow.f64 (-.f64 -1 x) 2) (fma.f64 x (*.f64 x -1/2) (neg.f64 (-.f64 -1 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 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 (-.f64 -1 x) 2)) (fma.f64 x (*.f64 x -1/2) (+.f64 1 x)))
(/.f64 (fma.f64 (pow.f64 x 4) -1/4 (pow.f64 (-.f64 -1 x) 2)) (-.f64 -1 (*.f64 x (fma.f64 x -1/2 1))))
(-.f64 (fma.f64 x (*.f64 x -1/2) (/.f64 1 (+.f64 x -1))) (/.f64 x (/.f64 (+.f64 x -1) x)))
(+.f64 (-.f64 (/.f64 1 (+.f64 -1 x)) (*.f64 (/.f64 x (+.f64 -1 x)) x)) (*.f64 x (*.f64 x -1/2)))
(-.f64 (/.f64 1 (+.f64 -1 x)) (*.f64 x (-.f64 (/.f64 x (+.f64 -1 x)) (*.f64 x -1/2))))
(-.f64 (/.f64 1 (+.f64 -1 x)) (*.f64 x (+.f64 (/.f64 x (+.f64 -1 x)) (*.f64 x 1/2))))
(*.f64 1 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(-.f64 -1 (fma.f64 1/2 (*.f64 x x) x))
(*.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)) 1)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(-.f64 -1 (fma.f64 1/2 (*.f64 x x) 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))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(-.f64 -1 (fma.f64 1/2 (*.f64 x x) 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))))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(-.f64 -1 (fma.f64 1/2 (*.f64 x x) 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))))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(-.f64 -1 (fma.f64 1/2 (*.f64 x x) x))
(*.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)) (/.f64 1 (fma.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2))) (*.f64 (pow.f64 x 4) 1/4))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)) (fma.f64 (-.f64 -1 x) (-.f64 -1 (*.f64 (fma.f64 x -1/2 1) x)) (*.f64 (pow.f64 x 4) 1/4)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)) (fma.f64 (-.f64 -1 x) (-.f64 -1 (*.f64 x (fma.f64 x -1/2 1))) (*.f64 (pow.f64 x 4) 1/4)))
(*.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 (-.f64 -1 x) 2)) (/.f64 1 (fma.f64 x (*.f64 x -1/2) (neg.f64 (-.f64 -1 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 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 (-.f64 -1 x) 2)) (fma.f64 x (*.f64 x -1/2) (+.f64 1 x)))
(/.f64 (fma.f64 (pow.f64 x 4) -1/4 (pow.f64 (-.f64 -1 x) 2)) (-.f64 -1 (*.f64 x (fma.f64 x -1/2 1))))
(/.f64 1 (/.f64 (fma.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2))) (*.f64 (pow.f64 x 4) 1/4)) (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3))))
(*.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)) (/.f64 1 (fma.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2))) (*.f64 (pow.f64 x 4) 1/4))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)) (fma.f64 (-.f64 -1 x) (-.f64 -1 (*.f64 (fma.f64 x -1/2 1) x)) (*.f64 (pow.f64 x 4) 1/4)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)) (fma.f64 (-.f64 -1 x) (-.f64 -1 (*.f64 x (fma.f64 x -1/2 1))) (*.f64 (pow.f64 x 4) 1/4)))
(/.f64 1 (/.f64 (fma.f64 x (*.f64 x -1/2) (neg.f64 (-.f64 -1 x))) (-.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 (-.f64 -1 x) 2))))
(/.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 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 (-.f64 -1 x) 2)) (fma.f64 x (*.f64 x -1/2) (+.f64 1 x)))
(/.f64 (fma.f64 (pow.f64 x 4) -1/4 (pow.f64 (-.f64 -1 x) 2)) (-.f64 -1 (*.f64 x (fma.f64 x -1/2 1))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)) (fma.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2))) (*.f64 (pow.f64 x 4) 1/4)))
(*.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)) (/.f64 1 (fma.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2))) (*.f64 (pow.f64 x 4) 1/4))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)) (fma.f64 (-.f64 -1 x) (-.f64 -1 (*.f64 (fma.f64 x -1/2 1) x)) (*.f64 (pow.f64 x 4) 1/4)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)) (fma.f64 (-.f64 -1 x) (-.f64 -1 (*.f64 x (fma.f64 x -1/2 1))) (*.f64 (pow.f64 x 4) 1/4)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)) (+.f64 (pow.f64 (-.f64 -1 x) 2) (-.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 (*.f64 x -1/2) (*.f64 x (-.f64 -1 x))))))
(*.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)) (/.f64 1 (fma.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2))) (*.f64 (pow.f64 x 4) 1/4))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)) (fma.f64 (-.f64 -1 x) (-.f64 -1 (*.f64 (fma.f64 x -1/2 1) x)) (*.f64 (pow.f64 x 4) 1/4)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)) (fma.f64 (-.f64 -1 x) (-.f64 -1 (*.f64 x (fma.f64 x -1/2 1))) (*.f64 (pow.f64 x 4) 1/4)))
(/.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 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 (-.f64 -1 x) 2)) (fma.f64 x (*.f64 x -1/2) (+.f64 1 x)))
(/.f64 (fma.f64 (pow.f64 x 4) -1/4 (pow.f64 (-.f64 -1 x) 2)) (-.f64 -1 (*.f64 x (fma.f64 x -1/2 1))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3))) (neg.f64 (fma.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2))) (*.f64 (pow.f64 x 4) 1/4))))
(*.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)) (/.f64 1 (fma.f64 (-.f64 -1 x) (-.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2))) (*.f64 (pow.f64 x 4) 1/4))))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)) (fma.f64 (-.f64 -1 x) (-.f64 -1 (*.f64 (fma.f64 x -1/2 1) x)) (*.f64 (pow.f64 x 4) 1/4)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/8 (pow.f64 (-.f64 -1 x) 3)) (fma.f64 (-.f64 -1 x) (-.f64 -1 (*.f64 x (fma.f64 x -1/2 1))) (*.f64 (pow.f64 x 4) 1/4)))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 (-.f64 -1 x) 2))) (neg.f64 (fma.f64 x (*.f64 x -1/2) (neg.f64 (-.f64 -1 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 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 (-.f64 -1 x) 2)) (fma.f64 x (*.f64 x -1/2) (+.f64 1 x)))
(/.f64 (fma.f64 (pow.f64 x 4) -1/4 (pow.f64 (-.f64 -1 x) 2)) (-.f64 -1 (*.f64 x (fma.f64 x -1/2 1))))
(/.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) (neg.f64 (-.f64 -1 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 (-.f64 -1 x) 2)) (fma.f64 x (*.f64 x -1/2) (+.f64 1 x)))
(/.f64 (fma.f64 (pow.f64 x 4) -1/4 (pow.f64 (-.f64 -1 x) 2)) (-.f64 -1 (*.f64 x (fma.f64 x -1/2 1))))
(pow.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)) 1)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(-.f64 -1 (fma.f64 1/2 (*.f64 x x) x))
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) 3)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(-.f64 -1 (fma.f64 1/2 (*.f64 x x) x))
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)) 3) 1/3)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(-.f64 -1 (fma.f64 1/2 (*.f64 x x) x))
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))) 2)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(-.f64 -1 (fma.f64 1/2 (*.f64 x x) x))
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)) 2))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(-.f64 -1 (fma.f64 1/2 (*.f64 x x) x))
(log.f64 (exp.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(-.f64 -1 (fma.f64 1/2 (*.f64 x x) x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x -1/2) (-.f64 -1 x)))))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(-.f64 -1 (fma.f64 1/2 (*.f64 x x) x))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) (*.f64 x -1/2)) (+.f64 1 (expm1.f64 (-.f64 -1 x)))))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(-.f64 -1 (fma.f64 1/2 (*.f64 x x) x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2)))) (exp.f64 (-.f64 -1 x))))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(-.f64 -1 (fma.f64 1/2 (*.f64 x x) x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2)))) (+.f64 1 (expm1.f64 (-.f64 -1 x)))))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(-.f64 -1 (fma.f64 1/2 (*.f64 x x) x))
(log.f64 (*.f64 (exp.f64 (-.f64 -1 x)) (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2))))))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(-.f64 -1 (fma.f64 1/2 (*.f64 x x) x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 -1 x))) (pow.f64 (exp.f64 x) (*.f64 x -1/2))))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(-.f64 -1 (fma.f64 1/2 (*.f64 x x) x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 -1 x))) (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2))))))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(-.f64 -1 (fma.f64 1/2 (*.f64 x x) x))
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(*.f64 x (fma.f64 x 1/2 1))
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(*.f64 x (fma.f64 x 1/2 1))
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(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (*.f64 x 1/2) x))
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eval531.0ms (5.7%)

Compiler

Compiled 4183 to 2918 computations (30.2% saved)

prune30.0ms (0.3%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New2460246
Fresh011
Picked022
Done033
Total2466252
Accurracy
100.0%
Counts
252 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
100.0%
(-.f64 (+.f64 (+.f64 0 (*.f64 x (*.f64 x -1/2))) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
99.9%
(-.f64 -1 (*.f64 x (-.f64 1 (*.f64 x -1/2))))
99.5%
(-.f64 -1 x)
99.9%
(+.f64 (*.f64 x (*.f64 x -1/2)) (/.f64 (-.f64 1 (*.f64 x x)) (+.f64 -1 x)))
98.9%
-1
Compiler

Compiled 173 to 126 computations (27.2% saved)

regimes74.0ms (0.8%)

Counts
12 → 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 x (*.f64 x -1/2)) (/.f64 (-.f64 1 (*.f64 x x)) (+.f64 -1 x)))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(-.f64 (+.f64 (+.f64 0 (*.f64 x (*.f64 x -1/2))) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
Outputs
(-.f64 (+.f64 (+.f64 0 (*.f64 x (*.f64 x -1/2))) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
Calls

2 calls:

68.0ms
x
2.0ms
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
Compiler

Compiled 126 to 90 computations (28.6% 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 x (*.f64 x -1/2)) (/.f64 (-.f64 1 (*.f64 x x)) (+.f64 -1 x)))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
Outputs
(-.f64 -1 (*.f64 x (-.f64 1 (*.f64 x -1/2))))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
99.9%1x
Compiler

Compiled 65 to 43 computations (33.8% saved)

regimes4.0ms (0%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.9%1x
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes4.0ms (0%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.5%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
98.9%1x
Compiler

Compiled 4 to 3 computations (25% saved)

simplify11.0ms (0.1%)

Algorithm
egg-herbie
Rules
72×distribute-lft-neg-in
50×unsub-neg
42×neg-mul-1
40×distribute-neg-in
34×cancel-sign-sub-inv
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023105
148101
270101
387101
4113101
5152101
6199101
7232101
8254101
9264101
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(-.f64 (+.f64 (+.f64 0 (*.f64 x (*.f64 x -1/2))) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(-.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 (+.f64 (+.f64 0 (*.f64 x (*.f64 x -1/2))) (+.f64 (*.f64 -1 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(-.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 (neg.f64 x) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(-.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 (*.f64 -5/12 (pow.f64 x 3)) x)) 1)
(+.f64 -1 (+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 (*.f64 -5/12 (pow.f64 x 3)) x)))
(-.f64 -1 (*.f64 x (-.f64 1 (*.f64 x -1/2))))
(+.f64 -1 (*.f64 x (+.f64 (*.f64 x -1/2) -1)))
(+.f64 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))
(+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x))
(-.f64 -1 x)
-1
Compiler

Compiled 42 to 32 computations (23.8% saved)

soundness999.0ms (10.8%)

Rules
1386×fma-def
1298×log-prod
1298×log-prod
1186×log-prod
1172×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01021
11619
22119
32819
43619
54619
66019
77619
88019
01647
134147
2373747
01882430
15862216
217722030
01882430
15862216
217722030
01647
134147
2373747
01250
127142
2383642
Stop Event
node limit
node limit
node limit
node limit
node limit
saturated
Compiler

Compiled 485 to 371 computations (23.5% saved)

end0.0ms (0%)

preprocess73.0ms (0.8%)

Compiler

Compiled 130 to 98 computations (24.6% saved)

Profiling

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