qlog (example 3.10)

Time bar (total: 7.0s)

analyze318.0ms (4.6%)

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)

sample4.7s (67%)

Results
2.8s4132×body1024valid
1.1s2069×body512valid
419.0ms397×body2048valid
262.0ms1658×body256valid
Bogosity

preprocess556.0ms (8%)

Algorithm
egg-herbie
Rules
4580×fma-def
3900×associate-+r+
3404×associate-+l+
504×distribute-lft-out
358×associate-*r*
Problems
251×(log.f64 (-.f64 1 x))
(log.f64 (+.f64 1 x))
No Errors
Iterations

Useful iterations: 1 (0.0ms)

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

Compiled 37 to 28 computations (24.3% saved)

eval1.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

prune1.0ms (0%)

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)

localize24.0ms (0.3%)

Localize:

Found 1 expressions with local error:

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

Compiled 16 to 6 computations (62.5% saved)

series5.0ms (0.1%)

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))

rewrite50.0ms (0.7%)

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 (0.8%)

Algorithm
egg-herbie
Rules
1214×associate-/r*
1044×fma-def
900×times-frac
606×associate-/l*
568×associate--r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01892510
16042216
218182008
Stop Event
node limit
Counts
42 → 73
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
(-.f64 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x)))) (/.f64 2 (*.f64 x (log.f64 (/.f64 1 x))))) (/.f64 (log.f64 -1) (*.f64 x (pow.f64 (log.f64 (/.f64 1 x)) 2))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 x (log.f64 (/.f64 1 x))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x))))))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x))))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 (pow.f64 x 2) (pow.f64 (log.f64 (/.f64 1 x)) 2)))) (/.f64 (log.f64 -1) (*.f64 x (pow.f64 (log.f64 (/.f64 1 x)) 2))))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x)))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 x 3) (log.f64 (/.f64 1 x))))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x))))) (*.f64 2 (/.f64 1 (*.f64 x (log.f64 (/.f64 1 x)))))))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.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))) (log.f64 (/.f64 1 x)))) (*.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (pow.f64 (log.f64 (/.f64 1 x)) 2))))) (*.f64 (pow.f64 x 3) (log.f64 (/.f64 1 x))))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x))))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 (pow.f64 x 2) (pow.f64 (log.f64 (/.f64 1 x)) 2)))) (+.f64 (*.f64 1/3 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (*.f64 (pow.f64 x 3) (pow.f64 (log.f64 (/.f64 1 x)) 2)))) (+.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 (pow.f64 x 3) (log.f64 (/.f64 1 x))))) (/.f64 (log.f64 -1) (*.f64 x (pow.f64 (log.f64 (/.f64 1 x)) 2)))))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) x)))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (*.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))))) (pow.f64 x 2))) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) x))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (*.f64 1/2 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (*.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (*.f64 1/3 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (*.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 3)))))))) (pow.f64 x 3))) (*.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) x)))))
(-.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 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
(+.f64 (fma.f64 -1 x (*.f64 -1/2 (*.f64 x x))) -1)
(fma.f64 -1 x (fma.f64 -1/2 (*.f64 x x) -1))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(-.f64 (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -5/12 (pow.f64 x 3)))) 1)
(+.f64 (fma.f64 -1 x (fma.f64 -1/2 (*.f64 x x) (*.f64 -5/12 (pow.f64 x 3)))) -1)
(+.f64 -1 (-.f64 (fma.f64 -5/12 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2))) x))
(-.f64 (fma.f64 -5/12 (pow.f64 x 3) (fma.f64 x (*.f64 x -1/2) -1)) x)
(*.f64 -1 (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x))))
(neg.f64 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))))
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(fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 2))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (+.f64 (/.f64 1/2 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (*.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 2))))) (*.f64 x x)) (*.f64 -1 (+.f64 (/.f64 (-.f64 (/.f64 1/3 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (fma.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 2))) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 2)) (fma.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 2))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (fma.f64 1/3 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 2)) (+.f64 (/.f64 1/2 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 2)) (*.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 3)))))))) (pow.f64 x 3)) (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 2))) x)))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.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)))) (-.f64 (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))) (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 (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 (/.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 (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 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(-.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 (/.f64 1/3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (+.f64 (/.f64 1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (*.f64 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (+.f64 (/.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 1/3)))) (*.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 (/.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) -1/2))) (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

eval55.0ms (0.8%)

Compiler

Compiled 3247 to 2312 computations (28.8% saved)

prune11.0ms (0.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New70373
Fresh000
Picked011
Done000
Total70474
Accuracy
100.0%
Counts
74 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
99.7%
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
99.4%
(-.f64 -1 x)
98.5%
-1
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
99.7%
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
99.4%
(-.f64 -1 x)
98.5%
-1
Compiler

Compiled 44 to 32 computations (27.3% saved)

localize34.0ms (0.5%)

Localize:

Found 1 expressions with local error:

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

Compiled 27 to 18 computations (33.3% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite58.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1916×pow1
1772×add-exp-log
1772×log1p-expm1-u
1772×expm1-log1p-u
1736×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
119021
2234521
Stop Event
node limit
Counts
1 → 37
Calls
Call 1
Inputs
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
Outputs
(+.f64 (fma.f64 x (*.f64 x -1/2) -1) (neg.f64 x))
(+.f64 (fma.f64 x (*.f64 x -1/2) -1) (*.f64 (neg.f64 x) 1))
(+.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 -1 (neg.f64 x)))
(+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x))
(+.f64 (neg.f64 x) (fma.f64 x (*.f64 x -1/2) -1))
(*.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 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x (+.f64 x (fma.f64 x (*.f64 x -1/2) -1))))))
(*.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x)) (/.f64 1 (+.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 (/.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x (+.f64 x (fma.f64 x (*.f64 x -1/2) -1)))) (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 x (fma.f64 x (*.f64 x -1/2) -1)) (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x (+.f64 x (fma.f64 x (*.f64 x -1/2) -1)))))
(/.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 (neg.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x (+.f64 x (fma.f64 x (*.f64 x -1/2) -1))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x))) (neg.f64 (+.f64 x (fma.f64 x (*.f64 x -1/2) -1))))
(/.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 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (fma.f64 x (*.f64 x -1/2) -1) (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (fma.f64 x (*.f64 x -1/2) -1) (neg.f64 x)))
(pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 1)
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 3)
(pow.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 2)
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 2))
(log.f64 (exp.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))
(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)))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))
(fma.f64 1 (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)) (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)) (neg.f64 x))

simplify64.0ms (0.9%)

Algorithm
egg-herbie
Rules
1270×fma-neg
1140×fma-def
566×unsub-neg
520×distribute-rgt-in
506×distribute-lft-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01091777
12871495
210441355
351981175
Stop Event
node limit
Counts
49 → 55
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
(+.f64 (fma.f64 x (*.f64 x -1/2) -1) (neg.f64 x))
(+.f64 (fma.f64 x (*.f64 x -1/2) -1) (*.f64 (neg.f64 x) 1))
(+.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 -1 (neg.f64 x)))
(+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x))
(+.f64 (neg.f64 x) (fma.f64 x (*.f64 x -1/2) -1))
(*.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 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x (+.f64 x (fma.f64 x (*.f64 x -1/2) -1))))))
(*.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x)) (/.f64 1 (+.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 (/.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x (+.f64 x (fma.f64 x (*.f64 x -1/2) -1)))) (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 x (fma.f64 x (*.f64 x -1/2) -1)) (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x (+.f64 x (fma.f64 x (*.f64 x -1/2) -1)))))
(/.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 (neg.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x (+.f64 x (fma.f64 x (*.f64 x -1/2) -1))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x))) (neg.f64 (+.f64 x (fma.f64 x (*.f64 x -1/2) -1))))
(/.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 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (fma.f64 x (*.f64 x -1/2) -1) (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (fma.f64 x (*.f64 x -1/2) -1) (neg.f64 x)))
(pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 1)
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 3)
(pow.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 2)
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 2))
(log.f64 (exp.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))
(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)))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))
(fma.f64 1 (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)) (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)) (neg.f64 x))
Outputs
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 -1 x)
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -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 x) (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1 x (*.f64 x (*.f64 x -1/2)))
(fma.f64 x (*.f64 x -1/2) (neg.f64 x))
(*.f64 x (fma.f64 x -1/2 -1))
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -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 x) (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1 x (*.f64 x (*.f64 x -1/2)))
(fma.f64 x (*.f64 x -1/2) (neg.f64 x))
(*.f64 x (fma.f64 x -1/2 -1))
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(+.f64 (fma.f64 x (*.f64 x -1/2) -1) (neg.f64 x))
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(+.f64 (fma.f64 x (*.f64 x -1/2) -1) (*.f64 (neg.f64 x) 1))
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(+.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(+.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(+.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(+.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 -1 (neg.f64 x)))
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x))
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(+.f64 (neg.f64 x) (fma.f64 x (*.f64 x -1/2) -1))
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -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 x (*.f64 x (*.f64 x -1/2))) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -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 x (*.f64 x (*.f64 x -1/2))) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -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 x (*.f64 x (*.f64 x -1/2))) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -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 x (*.f64 x (*.f64 x -1/2))) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -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 x (*.f64 x (*.f64 x -1/2))) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(*.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x (+.f64 x (fma.f64 x (*.f64 x -1/2) -1))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x (+.f64 x (fma.f64 x (*.f64 x -1/2) -1)))))
(/.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) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (fma.f64 x (*.f64 x -1/2) -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)) (/.f64 1 (+.f64 x (fma.f64 x (*.f64 x -1/2) -1))))
(/.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 (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 (fma.f64 x (fma.f64 x -1/2 -1) -1) 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 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x (+.f64 x (fma.f64 x (*.f64 x -1/2) -1)))) (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3))))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x (+.f64 x (fma.f64 x (*.f64 x -1/2) -1)))))
(/.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) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (fma.f64 x (*.f64 x -1/2) -1) (fma.f64 x (*.f64 x -1/2) (+.f64 -1 x)))))
(/.f64 1 (/.f64 (+.f64 x (fma.f64 x (*.f64 x -1/2) -1)) (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x))))
(*.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (fma.f64 x (*.f64 x -1/2) -1))))
(/.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 (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 (fma.f64 x (fma.f64 x -1/2 -1) -1) 1)
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x (+.f64 x (fma.f64 x (*.f64 x -1/2) -1)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x (+.f64 x (fma.f64 x (*.f64 x -1/2) -1)))))
(/.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) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (fma.f64 x (*.f64 x -1/2) -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)) (+.f64 x (fma.f64 x (*.f64 x -1/2) -1)))
(*.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (fma.f64 x (*.f64 x -1/2) -1))))
(/.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 (fma.f64 x (fma.f64 x -1/2 -1) -1) 1)
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x (+.f64 x (fma.f64 x (*.f64 x -1/2) -1))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x (+.f64 x (fma.f64 x (*.f64 x -1/2) -1)))))
(/.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) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (fma.f64 x (*.f64 x -1/2) -1) (fma.f64 x (*.f64 x -1/2) (+.f64 -1 x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x))) (neg.f64 (+.f64 x (fma.f64 x (*.f64 x -1/2) -1))))
(*.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (fma.f64 x (*.f64 x -1/2) -1))))
(/.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 (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 (fma.f64 x (fma.f64 x -1/2 -1) -1) 1)
(/.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 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (fma.f64 x (*.f64 x -1/2) -1) (neg.f64 x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x (+.f64 x (fma.f64 x (*.f64 x -1/2) -1)))))
(/.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) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (fma.f64 x (*.f64 x -1/2) -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 (neg.f64 x) (neg.f64 x))) (-.f64 (fma.f64 x (*.f64 x -1/2) -1) (neg.f64 x)))
(*.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (fma.f64 x (*.f64 x -1/2) -1))))
(/.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 (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 (fma.f64 x (fma.f64 x -1/2 -1) -1) 1)
(pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 1)
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -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 x (*.f64 x (*.f64 x -1/2))) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -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 x (*.f64 x (*.f64 x -1/2))) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -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 x (*.f64 x (*.f64 x -1/2))) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -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 x (*.f64 x (*.f64 x -1/2))) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -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 x (*.f64 x (*.f64 x -1/2))) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -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 x (*.f64 x (*.f64 x -1/2))) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -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 x (*.f64 x (*.f64 x -1/2))) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -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 x (*.f64 x (*.f64 x -1/2))) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -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 x (*.f64 x (*.f64 x -1/2))) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 1 (fma.f64 x (*.f64 x -1/2) -1) (neg.f64 x))
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -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))
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(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))
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)

eval35.0ms (0.5%)

Compiler

Compiled 848 to 576 computations (32.1% saved)

prune9.0ms (0.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New54155
Fresh011
Picked022
Done011
Total54559
Accuracy
100.0%
Counts
59 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
99.7%
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
99.4%
(-.f64 -1 x)
99.7%
(+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x))
98.5%
-1
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
99.7%
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
99.4%
(-.f64 -1 x)
99.7%
(+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x))
98.5%
-1
Compiler

Compiled 64 to 46 computations (28.1% saved)

localize31.0ms (0.4%)

Localize:

Found 1 expressions with local error:

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

Compiled 25 to 17 computations (32% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite66.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
940×log-prod
852×fma-def
700×prod-exp
630×pow-prod-down
432×pow-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
120521
2276121
Stop Event
node limit
Counts
1 → 76
Calls
Call 1
Inputs
(+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x))
Outputs
(-.f64 -1 (-.f64 x (*.f64 x (*.f64 x -1/2))))
(-.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 (/.f64 (*.f64 (pow.f64 x 4) 1/4) (+.f64 (fma.f64 x (*.f64 x -1/2) 1) x)) (/.f64 (pow.f64 (-.f64 -1 x) 2) (+.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 (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 (+.f64 (fma.f64 x (*.f64 x -1/2) 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 (+.f64 (fma.f64 x (*.f64 x -1/2) 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 (*.f64 x -1/2)) (-.f64 -1 x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 (-.f64 -1 x) 2)) (+.f64 (fma.f64 x (*.f64 x -1/2) 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 (+.f64 (fma.f64 x (*.f64 x -1/2) 1) x)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (fma.f64 x x (*.f64 (fma.f64 x (*.f64 x -1/2) -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 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x)) (+.f64 (fma.f64 x (*.f64 x -1/2) -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)
(pow.f64 (/.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))) -1)
(pow.f64 (/.f64 (+.f64 (fma.f64 x (*.f64 x -1/2) 1) x) (-.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 (-.f64 -1 x) 2))) -1)
(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 (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 (-.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 (exp.f64 (fma.f64 x (*.f64 x -1/2) -1)) (exp.f64 (neg.f64 x))))
(log.f64 (/.f64 (exp.f64 (fma.f64 x (*.f64 x -1/2) -1)) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 3))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))
(exp.f64 (log.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 1))
(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 (*.f64 3 (log.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))) 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)))
(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 (-.f64 -1 x) 1 (*.f64 x (*.f64 x -1/2)))
(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 (fma.f64 x (*.f64 x -1/2) -1) (neg.f64 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 (pow.f64 (cbrt.f64 (*.f64 x -1/2)) 2) (*.f64 (cbrt.f64 (*.f64 x -1/2)) x) (-.f64 -1 x))
(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 (*.f64 x x) -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 (*.f64 x -1/2)) (*.f64 (sqrt.f64 (*.f64 x -1/2)) x) (-.f64 -1 x))
(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 (-.f64 -1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x -1) 1)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 x -1)) (*.f64 x (*.f64 x -1/2)))
(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 (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 (fma.f64 x (sqrt.f64 -1/2) 1) (fma.f64 x (sqrt.f64 -1/2) -1) (neg.f64 x))
(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))

simplify77.0ms (1.1%)

Algorithm
egg-herbie
Rules
1342×fma-neg
1086×fma-def
838×div-sub
556×distribute-lft-in
534×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02103056
15352634
214522298
354062298
Stop Event
node limit
Counts
88 → 107
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
(-.f64 -1 (-.f64 x (*.f64 x (*.f64 x -1/2))))
(-.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 (/.f64 (*.f64 (pow.f64 x 4) 1/4) (+.f64 (fma.f64 x (*.f64 x -1/2) 1) x)) (/.f64 (pow.f64 (-.f64 -1 x) 2) (+.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 (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 (+.f64 (fma.f64 x (*.f64 x -1/2) 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 (+.f64 (fma.f64 x (*.f64 x -1/2) 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 (*.f64 x -1/2)) (-.f64 -1 x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 (-.f64 -1 x) 2)) (+.f64 (fma.f64 x (*.f64 x -1/2) 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 (+.f64 (fma.f64 x (*.f64 x -1/2) 1) x)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) -1) 2) (fma.f64 x x (*.f64 (fma.f64 x (*.f64 x -1/2) -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 (fma.f64 x (*.f64 x -1/2) -1) 2) (*.f64 x x)) (+.f64 (fma.f64 x (*.f64 x -1/2) -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)
(pow.f64 (/.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))) -1)
(pow.f64 (/.f64 (+.f64 (fma.f64 x (*.f64 x -1/2) 1) x) (-.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 (-.f64 -1 x) 2))) -1)
(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 (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 (-.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 (exp.f64 (fma.f64 x (*.f64 x -1/2) -1)) (exp.f64 (neg.f64 x))))
(log.f64 (/.f64 (exp.f64 (fma.f64 x (*.f64 x -1/2) -1)) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 3))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))
(exp.f64 (log.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)) 1))
(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 (*.f64 3 (log.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x))) 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)))
(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 (-.f64 -1 x) 1 (*.f64 x (*.f64 x -1/2)))
(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 (fma.f64 x (*.f64 x -1/2) -1) (neg.f64 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 (pow.f64 (cbrt.f64 (*.f64 x -1/2)) 2) (*.f64 (cbrt.f64 (*.f64 x -1/2)) x) (-.f64 -1 x))
(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 (*.f64 x x) -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 (*.f64 x -1/2)) (*.f64 (sqrt.f64 (*.f64 x -1/2)) x) (-.f64 -1 x))
(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 (-.f64 -1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x -1) 1)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 x -1)) (*.f64 x (*.f64 x -1/2)))
(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 (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 (fma.f64 x (sqrt.f64 -1/2) 1) (fma.f64 x (sqrt.f64 -1/2) -1) (neg.f64 x))
(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))
Outputs
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(-.f64 -1 x)
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -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 x) (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1 x (*.f64 x (*.f64 x -1/2)))
(-.f64 (*.f64 x (*.f64 x -1/2)) x)
(*.f64 x (fma.f64 x -1/2 -1))
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -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 x) (*.f64 -1/2 (pow.f64 x 2)))
(fma.f64 -1 x (*.f64 x (*.f64 x -1/2)))
(-.f64 (*.f64 x (*.f64 x -1/2)) x)
(*.f64 x (fma.f64 x -1/2 -1))
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (+.f64 (*.f64 -1 x) (*.f64 -1/2 (pow.f64 x 2))) 1)
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 -1 (-.f64 x (*.f64 x (*.f64 x -1/2))))
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -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 x (*.f64 x (*.f64 x -1/2))) -1)
(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 x (*.f64 x (*.f64 x -1/2))) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/4) (+.f64 (fma.f64 x (*.f64 x -1/2) 1) x)) (/.f64 (pow.f64 (-.f64 -1 x) 2) (+.f64 (fma.f64 x (*.f64 x -1/2) 1) x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 (-.f64 -1 x) 2)) (+.f64 x (fma.f64 x (*.f64 x -1/2) 1)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 (-.f64 -1 x) 2)) (fma.f64 (fma.f64 x -1/2 1) x 1))
(/.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 (fma.f64 x (*.f64 x -1/2) -1) x) 1)
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -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 x (*.f64 x (*.f64 x -1/2))) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -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 x (*.f64 x (*.f64 x -1/2))) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -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 x (*.f64 x (*.f64 x -1/2))) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -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 x (*.f64 x (*.f64 x -1/2))) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(*.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 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 (fma.f64 x (*.f64 x -1/2) 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 (pow.f64 x 4) 1/4 (*.f64 (-.f64 -1 x) (-.f64 -1 (*.f64 x (fma.f64 x -1/2 1))))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 (-.f64 -1 x) 2)) (/.f64 1 (+.f64 (fma.f64 x (*.f64 x -1/2) 1) x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 (-.f64 -1 x) 2)) (+.f64 x (fma.f64 x (*.f64 x -1/2) 1)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 (-.f64 -1 x) 2)) (fma.f64 (fma.f64 x -1/2 1) x 1))
(/.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))))
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(fma.f64 (*.f64 x -1/2) x (-.f64 -1 x))
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (*.f64 x (*.f64 x -1/2)) 1 (-.f64 -1 x))
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (-.f64 -1 x) 1 (*.f64 x (*.f64 x -1/2)))
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 1 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x))
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 1 (-.f64 -1 x) (*.f64 x (*.f64 x -1/2)))
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 1 (fma.f64 x (*.f64 x -1/2) -1) (neg.f64 x))
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (cbrt.f64 (-.f64 -1 x)) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (*.f64 x (*.f64 x -1/2)))
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (cbrt.f64 (-.f64 -1 x)) (*.f64 x (*.f64 x -1/2)))
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -1/2)) 2) (*.f64 (cbrt.f64 (*.f64 x -1/2)) x) (-.f64 -1 x))
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (-.f64 -1 x))
(-.f64 (fma.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) -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 x (*.f64 x -1/2))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) (-.f64 -1 x))
(-.f64 (fma.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/4)) -1) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x -1/2)) (-.f64 -1 x))
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (*.f64 x x) -1/2 (-.f64 -1 x))
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (-.f64 -1 x)) (*.f64 x (*.f64 x -1/2)))
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (sqrt.f64 (*.f64 x -1/2)) (*.f64 (sqrt.f64 (*.f64 x -1/2)) x) (-.f64 -1 x))
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 x (sqrt.f64 -1/2)) (-.f64 -1 x))
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x -1/2)) (-.f64 -1 x))
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x -1) 1)) (*.f64 x (*.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)))
(fma.f64 x (*.f64 x -1/2) (/.f64 (-.f64 -1 (pow.f64 x 3)) (fma.f64 x (+.f64 -1 x) 1)))
(fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 x -1)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 -1 x)) (*.f64 x (*.f64 x -1/2)))
(fma.f64 x (*.f64 x -1/2) (/.f64 (-.f64 1 (*.f64 x x)) (+.f64 -1 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)) (neg.f64 x))
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(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))
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (fma.f64 x (sqrt.f64 -1/2) 1) (fma.f64 x (sqrt.f64 -1/2) -1) (neg.f64 x))
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 x -1/2)) 2)) (cbrt.f64 (*.f64 x -1/2)) (-.f64 -1 x))
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 x -1/2))) (sqrt.f64 (*.f64 x -1/2)) (-.f64 -1 x))
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (*.f64 (*.f64 x -1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (-.f64 -1 x))
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (*.f64 (*.f64 x -1/2) (sqrt.f64 x)) (sqrt.f64 x) (-.f64 -1 x))
(+.f64 (fma.f64 -1 x (*.f64 x (*.f64 x -1/2))) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)

eval40.0ms (0.6%)

Compiler

Compiled 1677 to 1213 computations (27.7% saved)

prune15.0ms (0.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1061107
Fresh011
Picked101
Done033
Total1075112
Accuracy
100.0%
Counts
112 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
99.7%
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
99.7%
(-.f64 -1 (-.f64 x (*.f64 x (*.f64 x -1/2))))
99.4%
(-.f64 -1 x)
98.5%
-1
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
99.7%
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
99.7%
(-.f64 -1 (-.f64 x (*.f64 x (*.f64 x -1/2))))
99.4%
(-.f64 -1 x)
98.5%
-1
Compiler

Compiled 64 to 46 computations (28.1% saved)

localize33.0ms (0.5%)

Compiler

Compiled 29 to 19 computations (34.5% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune3.0ms (0%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done033
Total055
Accuracy
100.0%
Counts
5 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
99.7%
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
99.7%
(-.f64 -1 (-.f64 x (*.f64 x (*.f64 x -1/2))))
99.4%
(-.f64 -1 x)
98.5%
-1
Compiler

Compiled 78 to 55 computations (29.5% saved)

regimes9.0ms (0.1%)

Counts
7 → 1
Calls
Call 1
Inputs
-1
(-.f64 -1 x)
(+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x))
(-.f64 -1 (-.f64 x (*.f64 x (*.f64 x -1/2))))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
Outputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
Calls

2 calls:

5.0ms
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 58 to 41 computations (29.3% saved)

regimes6.0ms (0.1%)

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

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
99.7%1x
Compiler

Compiled 33 to 22 computations (33.3% saved)

regimes5.0ms (0.1%)

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

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
99.7%1x
Compiler

Compiled 25 to 17 computations (32% saved)

regimes4.0ms (0.1%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.4%1x
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes4.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
98.5%1x
Compiler

Compiled 4 to 3 computations (25% saved)

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative
sub-neg
*-commutative
neg-mul-1
neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01773
12573
22973
33073
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x))
(-.f64 -1 x)
-1
Outputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x))
(-.f64 -1 x)
-1
Compiler

Compiled 32 to 23 computations (28.1% saved)

soundness670.0ms (9.6%)

Rules
4580×fma-def
3900×associate-+r+
3404×associate-+l+
1916×pow1
1772×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01667
12857
24357
37457
411357
515757
618557
721057
824157
933857
1040457
1147857
1252357
1353157
1453357
1575557
16101657
17114957
18131357
19131957
20131957
21214357
22239857
23264657
24277957
25279457
26279457
27454857
28454857
29454857
30454857
31454857
32775157
33780057
34798257
01892510
16042216
218182008
01892510
16042216
218182008
0921
119021
2234521
Stop Event
node limit
node limit
node limit
node limit
Compiler

Compiled 187 to 137 computations (26.7% saved)

end0.0ms (0%)

preprocess56.0ms (0.8%)

Compiler

Compiled 110 to 80 computations (27.3% saved)

Profiling

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