qlog (example 3.10)

Details

Time bar (total: 7.7s)

analyze317.0ms (4.1%)

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)

sample5.4s (70.5%)

Results
3.8s4158×body1024valid
883.0ms2048×body512valid
429.0ms403×body2048valid
365.0ms1647×body256valid
Bogosity

preprocess16.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01021
11619
22119
32819
43619
54619
66019
77619
88019
011
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
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))
Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify13.0ms (0.2%)

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))

eval2.0ms (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)

localize25.0ms (0.3%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
100.0%
(log1p.f64 x)
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
2 → 24
Calls

6 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))
0.0ms
x
@-inf
(log1p.f64 x)
0.0ms
x
@inf
(log1p.f64 x)

rewrite55.0ms (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
0824
116420
2215620
Stop Event
node limit
Counts
2 → 45
Calls
Call 1
Inputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.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))))
(-.f64 (+.f64 1 (log1p.f64 x)) 1)
(*.f64 (log1p.f64 x) 1)
(*.f64 1 (log1p.f64 x))
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(pow.f64 (log1p.f64 x) 1)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(log.f64 (+.f64 x 1))
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(exp.f64 (log.f64 (log1p.f64 x)))

simplify66.0ms (0.9%)

Algorithm
egg-herbie
Rules
1432×fma-def
892×associate-*r*
740×associate-+l+
652×associate-+r+
592×associate--r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02353091
16992753
223502515
Stop Event
node limit
Counts
69 → 129
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))))))
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) x)))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.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))))
(-.f64 (+.f64 1 (log1p.f64 x)) 1)
(*.f64 (log1p.f64 x) 1)
(*.f64 1 (log1p.f64 x))
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)))
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(pow.f64 (log1p.f64 x) 1)
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3)
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2)
(sqrt.f64 (pow.f64 (log1p.f64 x) 2))
(log.f64 (+.f64 x 1))
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(exp.f64 (log.f64 (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)
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) (fma.f64 -5/12 (pow.f64 x 3) (neg.f64 x))))
(fma.f64 x (*.f64 x -1/2) (fma.f64 -5/12 (pow.f64 x 3) (-.f64 -1 x)))
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x))))
(neg.f64 (/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (neg.f64 (log.f64 x))))
(/.f64 (neg.f64 (+.f64 (log.f64 x) (log.f64 -1))) (neg.f64 (log.f64 x)))
(/.f64 (-.f64 (neg.f64 (log.f64 -1)) (log.f64 x)) (neg.f64 (log.f64 x)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))) (/.f64 2 (*.f64 (log.f64 (/.f64 1 x)) x))) (/.f64 (log.f64 -1) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x)))
(-.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (neg.f64 (log.f64 x))) (/.f64 2 (*.f64 x (neg.f64 (log.f64 x))))) (/.f64 (log.f64 -1) (*.f64 x (pow.f64 (neg.f64 (log.f64 x)) 2))))
(-.f64 (-.f64 (/.f64 (/.f64 2 x) (neg.f64 (log.f64 x))) (/.f64 (+.f64 (log.f64 x) (log.f64 -1)) (neg.f64 (log.f64 x)))) (/.f64 (/.f64 (log.f64 -1) (*.f64 (log.f64 x) (log.f64 x))) x))
(-.f64 (-.f64 (/.f64 2 (*.f64 (neg.f64 x) (log.f64 x))) (/.f64 (/.f64 (log.f64 -1) (*.f64 (log.f64 x) (log.f64 x))) x)) (/.f64 (+.f64 (log.f64 x) (log.f64 -1)) (neg.f64 (log.f64 x))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 (log.f64 (/.f64 1 x)) x))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (log.f64 (/.f64 1 x)))))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (+.f64 (/.f64 (log.f64 -1) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) x)) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) (*.f64 (pow.f64 (log.f64 (/.f64 1 x)) 2) (pow.f64 x 2)))))))
(-.f64 (+.f64 (/.f64 2 (*.f64 x (neg.f64 (log.f64 x)))) (+.f64 (neg.f64 (/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (neg.f64 (log.f64 x)))) (/.f64 1/2 (*.f64 (*.f64 x x) (neg.f64 (log.f64 x)))))) (+.f64 (fma.f64 -1 (/.f64 (-.f64 (/.f64 2 (neg.f64 (log.f64 x))) (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 2))) (*.f64 (*.f64 x x) (neg.f64 (log.f64 x)))) (/.f64 (log.f64 -1) (*.f64 x (pow.f64 (neg.f64 (log.f64 x)) 2)))) (*.f64 -1/2 (/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (*.f64 (*.f64 x x) (pow.f64 (neg.f64 (log.f64 x)) 2))))))
(+.f64 (/.f64 (/.f64 2 x) (neg.f64 (log.f64 x))) (-.f64 (-.f64 (/.f64 1/2 (*.f64 (*.f64 x x) (neg.f64 (log.f64 x)))) (/.f64 (+.f64 (log.f64 x) (log.f64 -1)) (neg.f64 (log.f64 x)))) (-.f64 (fma.f64 -1/2 (/.f64 (+.f64 (log.f64 x) (log.f64 -1)) (*.f64 (*.f64 x x) (*.f64 (log.f64 x) (log.f64 x)))) (/.f64 (/.f64 (log.f64 -1) (*.f64 (log.f64 x) (log.f64 x))) x)) (/.f64 (-.f64 (/.f64 2 (neg.f64 (log.f64 x))) (/.f64 (log.f64 -1) (*.f64 (log.f64 x) (log.f64 x)))) (*.f64 (*.f64 x x) (neg.f64 (log.f64 x)))))))
(+.f64 (-.f64 (/.f64 2 (*.f64 (neg.f64 x) (log.f64 x))) (/.f64 (+.f64 (log.f64 x) (log.f64 -1)) (neg.f64 (log.f64 x)))) (+.f64 (-.f64 (/.f64 1/2 (*.f64 x (*.f64 (neg.f64 x) (log.f64 x)))) (fma.f64 -1/2 (/.f64 (+.f64 (log.f64 x) (log.f64 -1)) (*.f64 (*.f64 (*.f64 x x) (log.f64 x)) (log.f64 x))) (/.f64 (/.f64 (log.f64 -1) (*.f64 (log.f64 x) (log.f64 x))) x))) (/.f64 (-.f64 (/.f64 2 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 3))) (*.f64 x 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 (*.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 (/.f64 2 (*.f64 x (neg.f64 (log.f64 x)))) (-.f64 (+.f64 (/.f64 1/2 (*.f64 (*.f64 x x) (neg.f64 (log.f64 x)))) (+.f64 (neg.f64 (/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (neg.f64 (log.f64 x)))) (/.f64 1/3 (*.f64 (pow.f64 x 3) (neg.f64 (log.f64 x)))))) (fma.f64 1/2 (/.f64 (-.f64 (/.f64 2 (neg.f64 (log.f64 x))) (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 2))) (*.f64 (pow.f64 x 3) (neg.f64 (log.f64 x)))) (fma.f64 1/3 (/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (*.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (log.f64 x)) 2))) (fma.f64 -1/2 (/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (*.f64 (*.f64 x x) (pow.f64 (neg.f64 (log.f64 x)) 2))) (fma.f64 -1 (/.f64 (-.f64 (/.f64 1/2 (neg.f64 (log.f64 x))) (fma.f64 -1/2 (/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) (pow.f64 (neg.f64 (log.f64 x)) 2)) (neg.f64 (/.f64 (-.f64 (/.f64 2 (neg.f64 (log.f64 x))) (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 2))) (neg.f64 (log.f64 x)))))) (*.f64 (pow.f64 x 3) (neg.f64 (log.f64 x)))) (fma.f64 -1 (/.f64 (-.f64 (/.f64 2 (neg.f64 (log.f64 x))) (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 2))) (*.f64 (*.f64 x x) (neg.f64 (log.f64 x)))) (/.f64 (log.f64 -1) (*.f64 x (pow.f64 (neg.f64 (log.f64 x)) 2))))))))))
(+.f64 (/.f64 (/.f64 2 x) (neg.f64 (log.f64 x))) (+.f64 (-.f64 (/.f64 1/3 (neg.f64 (*.f64 (log.f64 x) (pow.f64 x 3)))) (/.f64 (+.f64 (log.f64 x) (log.f64 -1)) (neg.f64 (log.f64 x)))) (-.f64 (/.f64 1/2 (*.f64 (*.f64 x x) (neg.f64 (log.f64 x)))) (fma.f64 1/2 (/.f64 (-.f64 (/.f64 2 (neg.f64 (log.f64 x))) (/.f64 (log.f64 -1) (*.f64 (log.f64 x) (log.f64 x)))) (neg.f64 (*.f64 (log.f64 x) (pow.f64 x 3)))) (fma.f64 1/3 (/.f64 (+.f64 (log.f64 x) (log.f64 -1)) (*.f64 (pow.f64 x 3) (*.f64 (log.f64 x) (log.f64 x)))) (fma.f64 -1/2 (/.f64 (+.f64 (log.f64 x) (log.f64 -1)) (*.f64 (*.f64 x x) (*.f64 (log.f64 x) (log.f64 x)))) (-.f64 (-.f64 (/.f64 (/.f64 (log.f64 -1) (*.f64 (log.f64 x) (log.f64 x))) x) (/.f64 (-.f64 (/.f64 2 (neg.f64 (log.f64 x))) (/.f64 (log.f64 -1) (*.f64 (log.f64 x) (log.f64 x)))) (*.f64 (*.f64 x x) (neg.f64 (log.f64 x))))) (/.f64 (-.f64 (/.f64 1/2 (neg.f64 (log.f64 x))) (-.f64 (/.f64 (*.f64 -1/2 (+.f64 (log.f64 x) (log.f64 -1))) (*.f64 (log.f64 x) (log.f64 x))) (/.f64 (-.f64 (/.f64 2 (neg.f64 (log.f64 x))) (/.f64 (log.f64 -1) (*.f64 (log.f64 x) (log.f64 x)))) (neg.f64 (log.f64 x))))) (neg.f64 (*.f64 (log.f64 x) (pow.f64 x 3)))))))))))
(+.f64 (-.f64 (-.f64 (+.f64 (-.f64 (/.f64 2 (*.f64 (neg.f64 x) (log.f64 x))) (/.f64 (+.f64 (log.f64 x) (log.f64 -1)) (neg.f64 (log.f64 x)))) (+.f64 (/.f64 1/2 (*.f64 x (*.f64 (neg.f64 x) (log.f64 x)))) (/.f64 1/3 (*.f64 (pow.f64 x 3) (neg.f64 (log.f64 x)))))) (fma.f64 1/2 (/.f64 (-.f64 (/.f64 2 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 3))) (pow.f64 x 3)) (*.f64 (/.f64 (+.f64 (log.f64 x) (log.f64 -1)) (*.f64 (log.f64 x) (log.f64 x))) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 -1/2 (*.f64 x x)))))) (-.f64 (/.f64 (/.f64 (log.f64 -1) (*.f64 (log.f64 x) (log.f64 x))) x) (/.f64 (-.f64 (/.f64 2 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 3))) (*.f64 x x)))) (/.f64 (+.f64 (/.f64 1/2 (neg.f64 (log.f64 x))) (+.f64 (-.f64 (/.f64 2 (*.f64 (log.f64 x) (log.f64 x))) (/.f64 (log.f64 -1) (pow.f64 (neg.f64 (log.f64 x)) 3))) (*.f64 1/2 (/.f64 (+.f64 (log.f64 x) (log.f64 -1)) (*.f64 (log.f64 x) (log.f64 x)))))) (*.f64 (pow.f64 x 3) (neg.f64 (log.f64 x)))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(/.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(/.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(+.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 -1 (+.f64 (/.f64 (log.f64 (/.f64 -1 x)) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.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)))
(-.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 -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))))
(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)) (*.f64 -1 (+.f64 (/.f64 (log.f64 (/.f64 -1 x)) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.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))))
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(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)
(cbrt.f64 (pow.f64 (log1p.f64 x) 3))
(+.f64 1 (-.f64 (log1p.f64 x) 1))
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(+.f64 1 (-.f64 (log1p.f64 x) 1))
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)
(exp.f64 (log.f64 (log1p.f64 x)))
(+.f64 1 (-.f64 (log1p.f64 x) 1))
(+.f64 (log1p.f64 x) 0)
(log1p.f64 x)

eval78.0ms (1%)

Compiler

Compiled 4094 to 2785 computations (32% saved)

prune24.0ms (0.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1245129
Fresh000
Picked011
Done000
Total1246130
Accurracy
100.0%
Counts
130 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.0%
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
98.2%
(/.f64 (log1p.f64 (neg.f64 x)) x)
98.8%
(-.f64 -1 x)
99.0%
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
98.1%
-1
99.0%
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
98.2%
(/.f64 (log1p.f64 (neg.f64 x)) x)
98.8%
(-.f64 -1 x)
99.0%
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
98.1%
-1
Compiler

Compiled 76 to 54 computations (28.9% saved)

localize94.0ms (1.2%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
100.0%
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) x)
Compiler

Compiled 59 to 28 computations (52.5% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/.f64 (log1p.f64 (neg.f64 x)) x)
0.0ms
x
@-inf
(/.f64 (log1p.f64 (neg.f64 x)) x)
0.0ms
x
@inf
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
0.0ms
x
@-inf
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
0.0ms
x
@0
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))

rewrite71.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1134×log-prod
660×pow-prod-down
642×prod-diff
552×pow-prod-up
504×pow-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01336
127332
2338732
Stop Event
node limit
Counts
2 → 80
Calls
Call 1
Inputs
(/.f64 (log1p.f64 (neg.f64 x)) x)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
Outputs
(+.f64 0 (/.f64 (log1p.f64 x) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) x))) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 x) x))) 1)
(*.f64 (log1p.f64 x) (/.f64 -1 x))
(*.f64 (/.f64 (log1p.f64 x) x) 1)
(*.f64 1 (/.f64 (log1p.f64 x) x))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (*.f64 (cbrt.f64 (log1p.f64 x)) (/.f64 -1 x)))
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) x)) 2) (cbrt.f64 (/.f64 (log1p.f64 x) x)))
(*.f64 (sqrt.f64 (log1p.f64 x)) (*.f64 (sqrt.f64 (log1p.f64 x)) (/.f64 -1 x)))
(*.f64 (sqrt.f64 (/.f64 (log1p.f64 x) x)) (sqrt.f64 (/.f64 (log1p.f64 x) x)))
(*.f64 (neg.f64 (log1p.f64 x)) (/.f64 -1 x))
(*.f64 (/.f64 -1 x) (log1p.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (log1p.f64 x) (cbrt.f64 x)))
(*.f64 (pow.f64 x -1/2) (/.f64 (log1p.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) 1) (/.f64 (cbrt.f64 (log1p.f64 x)) x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (log1p.f64 x) x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) 1) (/.f64 (sqrt.f64 (log1p.f64 x)) x))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 x)))
(pow.f64 (/.f64 (log1p.f64 x) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) x)) 3)
(pow.f64 (pow.f64 (/.f64 (log1p.f64 x) x) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (log1p.f64 x) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 x) x)) 2)
(pow.f64 (/.f64 x (log1p.f64 x)) -1)
(pow.f64 (/.f64 (/.f64 x (log1p.f64 x)) 1) -1)
(neg.f64 (/.f64 (log1p.f64 x) x))
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 x) x) 2))
(log.f64 (exp.f64 (/.f64 (log1p.f64 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 x) x))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 x) x)))))
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 x) x)))
(exp.f64 (log.f64 (/.f64 (log1p.f64 x) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) x)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (log1p.f64 x) x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (log1p.f64 x) x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (log1p.f64 x) x))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 x (log1p.f64 x))) -1))
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 x) x)))
(+.f64 (+.f64 x -1) (*.f64 x (*.f64 x -1/2)))
(+.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 x -1))
(+.f64 0 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1)))
(+.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) 1) (+.f64 x -1))
(+.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1)))) (cbrt.f64 (exp.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1)))) 1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(*.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1)) 1)
(*.f64 1 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1)))
(*.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1))) 2) (cbrt.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1))) (sqrt.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3) (pow.f64 (+.f64 x -1) 3)) (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (-.f64 (pow.f64 (+.f64 x -1) 2) (*.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 x -1)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (pow.f64 (+.f64 x -1) 2)) (-.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 x -1)))
(pow.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1)) 1)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1))) 3)
(pow.f64 (pow.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1)) 2))
(log.f64 (exp.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1)))))
(log.f64 (*.f64 (exp.f64 (+.f64 x -1)) (exp.f64 (*.f64 x (*.f64 x -1/2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x -1))) (exp.f64 (*.f64 x (*.f64 x -1/2)))))
(log.f64 (*.f64 (exp.f64 (*.f64 x (*.f64 x -1/2))) (+.f64 1 (expm1.f64 (+.f64 x -1)))))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1))))
(exp.f64 (log.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1)))) 2))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1))))

simplify98.0ms (1.3%)

Algorithm
egg-herbie
Rules
1670×fma-def
1400×fma-neg
798×unswap-sqr
396×*-commutative
392×associate-/l*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02462490
15922342
219612076
375322072
Stop Event
node limit
Counts
104 → 161
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 -1/2 x) 1)
(-.f64 (+.f64 (*.f64 -1/2 x) (*.f64 -1/3 (pow.f64 x 2))) 1)
(-.f64 (+.f64 (*.f64 -1/4 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (*.f64 -1/3 (pow.f64 x 2)))) 1)
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) x)
(-.f64 (+.f64 (/.f64 (log.f64 -1) x) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) x))) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 (log.f64 -1) x) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) x))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/2 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 (log.f64 -1) x) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) x))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/2 (/.f64 1 (pow.f64 x 3))))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) x))
(-.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) x)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) x)) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/2 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) x)) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/2 (/.f64 1 (pow.f64 x 3))))))
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -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 (log1p.f64 x) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) x))) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 x) x))) 1)
(*.f64 (log1p.f64 x) (/.f64 -1 x))
(*.f64 (/.f64 (log1p.f64 x) x) 1)
(*.f64 1 (/.f64 (log1p.f64 x) x))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (*.f64 (cbrt.f64 (log1p.f64 x)) (/.f64 -1 x)))
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) x)) 2) (cbrt.f64 (/.f64 (log1p.f64 x) x)))
(*.f64 (sqrt.f64 (log1p.f64 x)) (*.f64 (sqrt.f64 (log1p.f64 x)) (/.f64 -1 x)))
(*.f64 (sqrt.f64 (/.f64 (log1p.f64 x) x)) (sqrt.f64 (/.f64 (log1p.f64 x) x)))
(*.f64 (neg.f64 (log1p.f64 x)) (/.f64 -1 x))
(*.f64 (/.f64 -1 x) (log1p.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (log1p.f64 x) (cbrt.f64 x)))
(*.f64 (pow.f64 x -1/2) (/.f64 (log1p.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) 1) (/.f64 (cbrt.f64 (log1p.f64 x)) x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (log1p.f64 x) x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) 1) (/.f64 (sqrt.f64 (log1p.f64 x)) x))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 x)))
(pow.f64 (/.f64 (log1p.f64 x) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) x)) 3)
(pow.f64 (pow.f64 (/.f64 (log1p.f64 x) x) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (log1p.f64 x) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 x) x)) 2)
(pow.f64 (/.f64 x (log1p.f64 x)) -1)
(pow.f64 (/.f64 (/.f64 x (log1p.f64 x)) 1) -1)
(neg.f64 (/.f64 (log1p.f64 x) x))
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 x) x) 2))
(log.f64 (exp.f64 (/.f64 (log1p.f64 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 x) x))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 x) x)))))
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 x) x)))
(exp.f64 (log.f64 (/.f64 (log1p.f64 x) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) x)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (log1p.f64 x) x))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (log1p.f64 x) x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (log1p.f64 x) x))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 x (log1p.f64 x))) -1))
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 x) x)))
(+.f64 (+.f64 x -1) (*.f64 x (*.f64 x -1/2)))
(+.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 x -1))
(+.f64 0 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1)))
(+.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) 1) (+.f64 x -1))
(+.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1)))) (cbrt.f64 (exp.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1)))) 1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(*.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1)) 1)
(*.f64 1 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1)))
(*.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1))) 2) (cbrt.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1))) (sqrt.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3) (pow.f64 (+.f64 x -1) 3)) (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (-.f64 (pow.f64 (+.f64 x -1) 2) (*.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 x -1)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (pow.f64 (+.f64 x -1) 2)) (-.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 x -1)))
(pow.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1)) 1)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1))) 3)
(pow.f64 (pow.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1)) 2))
(log.f64 (exp.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1)))))
(log.f64 (*.f64 (exp.f64 (+.f64 x -1)) (exp.f64 (*.f64 x (*.f64 x -1/2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x -1))) (exp.f64 (*.f64 x (*.f64 x -1/2)))))
(log.f64 (*.f64 (exp.f64 (*.f64 x (*.f64 x -1/2))) (+.f64 1 (expm1.f64 (+.f64 x -1)))))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1))))
(exp.f64 (log.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1)))) 2))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1))))
Outputs
-1
(-.f64 (*.f64 -1/2 x) 1)
(fma.f64 -1/2 x -1)
(-.f64 (+.f64 (*.f64 -1/2 x) (*.f64 -1/3 (pow.f64 x 2))) 1)
(+.f64 (fma.f64 -1/2 x (*.f64 -1/3 (*.f64 x x))) -1)
(fma.f64 -1/2 x (fma.f64 -1/3 (*.f64 x x) -1))
(fma.f64 x (+.f64 (*.f64 x -1/3) -1/2) -1)
(-.f64 (+.f64 (*.f64 -1/4 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (*.f64 -1/3 (pow.f64 x 2)))) 1)
(+.f64 (fma.f64 -1/4 (pow.f64 x 3) (fma.f64 -1/2 x (*.f64 -1/3 (*.f64 x x)))) -1)
(fma.f64 -1/4 (pow.f64 x 3) (fma.f64 -1/2 x (fma.f64 -1/3 (*.f64 x x) -1)))
(fma.f64 -1/4 (pow.f64 x 3) (fma.f64 x (+.f64 (*.f64 x -1/3) -1/2) -1))
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 -1)) x)
(/.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 -1)) x)
(/.f64 (+.f64 (log.f64 -1) (log.f64 x)) x)
(-.f64 (+.f64 (/.f64 (log.f64 -1) x) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) x))) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 (log.f64 -1) x) (-.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 (log.f64 x) x) (-.f64 (/.f64 (log.f64 -1) x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) x) (/.f64 -1 (*.f64 x x)))
(-.f64 (+.f64 (/.f64 (log.f64 -1) x) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) x))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/2 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 (log.f64 -1) x) (/.f64 (neg.f64 (neg.f64 (log.f64 x))) x)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1/2 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 (log.f64 x) x) (-.f64 (/.f64 (log.f64 -1) x) (/.f64 1 (*.f64 x x)))) (/.f64 1/2 (pow.f64 x 3)))
(+.f64 (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) x) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1/2 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 (log.f64 -1) x) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) x))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/2 (/.f64 1 (pow.f64 x 3))))))
(-.f64 (+.f64 (/.f64 (log.f64 -1) x) (/.f64 (neg.f64 (neg.f64 (log.f64 x))) x)) (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1/2 (pow.f64 x 3))) (/.f64 1/3 (pow.f64 x 4))))
(+.f64 (/.f64 (log.f64 -1) x) (-.f64 (/.f64 (log.f64 x) x) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1/2 (pow.f64 x 3)) (/.f64 1/3 (pow.f64 x 4))))))
(+.f64 (/.f64 (+.f64 (log.f64 -1) (log.f64 x)) x) (+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -1/2 (pow.f64 x 3)) (/.f64 -1/3 (pow.f64 x 4)))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) x))
(neg.f64 (/.f64 (log.f64 (/.f64 -1 x)) x))
(/.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)
(-.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) x)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (neg.f64 (/.f64 (log.f64 (/.f64 -1 x)) x)) (/.f64 1 (*.f64 x x)))
(fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) x) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 (log.f64 (/.f64 -1 x)) x))
(-.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) x)) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/2 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (neg.f64 (/.f64 (log.f64 (/.f64 -1 x)) x)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1/2 (pow.f64 x 3))))
(-.f64 (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) x) (/.f64 -1 (*.f64 x x))) (/.f64 1/2 (pow.f64 x 3)))
(+.f64 (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 (log.f64 (/.f64 -1 x)) x)) (/.f64 -1/2 (pow.f64 x 3)))
(-.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) x)) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 1/2 (/.f64 1 (pow.f64 x 3))))))
(-.f64 (neg.f64 (/.f64 (log.f64 (/.f64 -1 x)) x)) (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1/2 (pow.f64 x 3))) (/.f64 1/3 (pow.f64 x 4))))
(-.f64 (-.f64 (fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) x) (/.f64 -1 (*.f64 x x))) (/.f64 1/2 (pow.f64 x 3))) (/.f64 1/3 (pow.f64 x 4)))
(+.f64 (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 (log.f64 (/.f64 -1 x)) x)) (-.f64 (/.f64 -1/2 (pow.f64 x 3)) (/.f64 1/3 (pow.f64 x 4))))
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(-.f64 -1 x)
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 -1/2 x -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)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 -1/2 x -1) -1)
(*.f64 -1/2 (pow.f64 x 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))
(*.f64 x (fma.f64 -1/2 x -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)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 -1/2 x -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)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 -1/2 x -1) -1)
(*.f64 -1/2 (pow.f64 x 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))
(*.f64 x (fma.f64 -1/2 x -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)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 -1/2 x -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)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 -1/2 x -1) -1)
(+.f64 0 (/.f64 (log1p.f64 x) x))
(/.f64 (log1p.f64 x) x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) x))) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) x)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) x)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 x) x))) 1)
(/.f64 (log1p.f64 x) x)
(*.f64 (log1p.f64 x) (/.f64 -1 x))
(/.f64 (neg.f64 (log1p.f64 x)) x)
(*.f64 (/.f64 (log1p.f64 x) x) 1)
(/.f64 (log1p.f64 x) x)
(*.f64 1 (/.f64 (log1p.f64 x) x))
(/.f64 (log1p.f64 x) x)
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (*.f64 (cbrt.f64 (log1p.f64 x)) (/.f64 -1 x)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (*.f64 (/.f64 -1 x) (cbrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 -1 x) (*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (cbrt.f64 (log1p.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (/.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) x))
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) x)) 2))
(/.f64 (log1p.f64 x) x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) x)) 2) (cbrt.f64 (/.f64 (log1p.f64 x) x)))
(/.f64 (log1p.f64 x) x)
(*.f64 (sqrt.f64 (log1p.f64 x)) (*.f64 (sqrt.f64 (log1p.f64 x)) (/.f64 -1 x)))
(/.f64 (neg.f64 (log1p.f64 x)) x)
(*.f64 (sqrt.f64 (/.f64 (log1p.f64 x) x)) (sqrt.f64 (/.f64 (log1p.f64 x) x)))
(/.f64 (log1p.f64 x) x)
(*.f64 (neg.f64 (log1p.f64 x)) (/.f64 -1 x))
(/.f64 (log1p.f64 x) x)
(*.f64 (/.f64 -1 x) (log1p.f64 x))
(/.f64 (neg.f64 (log1p.f64 x)) x)
(*.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (log1p.f64 x) (cbrt.f64 x)))
(/.f64 (*.f64 (log1p.f64 x) (pow.f64 (cbrt.f64 x) -2)) (cbrt.f64 x))
(/.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (cbrt.f64 x) (log1p.f64 x)))
(*.f64 (pow.f64 x -1/2) (/.f64 (log1p.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) 1) (/.f64 (cbrt.f64 (log1p.f64 x)) x))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (/.f64 (cbrt.f64 (log1p.f64 x)) x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (log1p.f64 x) x)))
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 x) x)) (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (/.f64 (log1p.f64 x) x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) 2)) (/.f64 (cbrt.f64 (log1p.f64 x)) x))
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) 1) (/.f64 (sqrt.f64 (log1p.f64 x)) x))
(/.f64 (log1p.f64 x) x)
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (log1p.f64 x) (cbrt.f64 x)))
(/.f64 (*.f64 (log1p.f64 x) (pow.f64 (cbrt.f64 x) -2)) (cbrt.f64 x))
(/.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (cbrt.f64 x) (log1p.f64 x)))
(pow.f64 (/.f64 (log1p.f64 x) x) 1)
(/.f64 (log1p.f64 x) x)
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) x)) 3)
(/.f64 (log1p.f64 x) x)
(pow.f64 (pow.f64 (/.f64 (log1p.f64 x) x) 2) 1/2)
(/.f64 (log1p.f64 x) x)
(pow.f64 (pow.f64 (/.f64 (log1p.f64 x) x) 3) 1/3)
(/.f64 (log1p.f64 x) x)
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 x) x)) 2)
(/.f64 (log1p.f64 x) x)
(pow.f64 (/.f64 x (log1p.f64 x)) -1)
(/.f64 (log1p.f64 x) x)
(pow.f64 (/.f64 (/.f64 x (log1p.f64 x)) 1) -1)
(/.f64 (log1p.f64 x) x)
(neg.f64 (/.f64 (log1p.f64 x) x))
(/.f64 (neg.f64 (log1p.f64 x)) x)
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 x) x) 2))
(/.f64 (log1p.f64 x) x)
(log.f64 (exp.f64 (/.f64 (log1p.f64 x) x)))
(/.f64 (log1p.f64 x) x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 x) x))))
(/.f64 (log1p.f64 x) x)
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 x) x)))))
(/.f64 (neg.f64 (log1p.f64 x)) x)
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) x) 3))
(/.f64 (log1p.f64 x) x)
(cbrt.f64 (/.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 x 3)))
(/.f64 (log1p.f64 x) x)
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 x) x)))
(/.f64 (log1p.f64 x) x)
(exp.f64 (log.f64 (/.f64 (log1p.f64 x) x)))
(/.f64 (log1p.f64 x) x)
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) x)) 1))
(/.f64 (log1p.f64 x) x)
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) x)) 1) 1))
(/.f64 (log1p.f64 x) x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (log1p.f64 x) x))) 3))
(/.f64 (log1p.f64 x) x)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (log1p.f64 x) x))) 1/3))
(/.f64 (log1p.f64 x) x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (log1p.f64 x) x))) 2))
(/.f64 (log1p.f64 x) x)
(exp.f64 (*.f64 (log.f64 (/.f64 x (log1p.f64 x))) -1))
(/.f64 (log1p.f64 x) x)
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 x) x)))
(/.f64 (log1p.f64 x) x)
(+.f64 (+.f64 x -1) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (*.f64 x x) -1/2 (+.f64 -1 x))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) x))
(fma.f64 (fma.f64 -1/2 x 1) x -1)
(+.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 x -1))
(fma.f64 (*.f64 x x) -1/2 (+.f64 -1 x))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) x))
(fma.f64 (fma.f64 -1/2 x 1) x -1)
(+.f64 0 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1)))
(fma.f64 (*.f64 x x) -1/2 (+.f64 -1 x))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) x))
(fma.f64 (fma.f64 -1/2 x 1) x -1)
(+.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) 1) (+.f64 x -1))
(fma.f64 (*.f64 x x) -1/2 (+.f64 -1 x))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) x))
(fma.f64 (fma.f64 -1/2 x 1) x -1)
(+.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 (*.f64 x x) -1/2 (+.f64 -1 x))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) x))
(fma.f64 (fma.f64 -1/2 x 1) x -1)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1)))) (cbrt.f64 (exp.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 -1 x)))) (cbrt.f64 (exp.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 -1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 -1 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (+.f64 -1 (fma.f64 -1/2 (*.f64 x x) x)))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 -1 (fma.f64 -1/2 (*.f64 x x) x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (fma.f64 -1/2 x 1) x -1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 -1 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (+.f64 -1 (fma.f64 -1/2 (*.f64 x x) x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (fma.f64 -1/2 x 1) x -1)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1)))) 1)
(fma.f64 (*.f64 x x) -1/2 (+.f64 -1 x))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) x))
(fma.f64 (fma.f64 -1/2 x 1) x -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(-.f64 (fma.f64 -1/2 (*.f64 x x) -1) x)
(fma.f64 x (fma.f64 -1/2 x -1) -1)
(*.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1)) 1)
(fma.f64 (*.f64 x x) -1/2 (+.f64 -1 x))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) x))
(fma.f64 (fma.f64 -1/2 x 1) x -1)
(*.f64 1 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1)))
(fma.f64 (*.f64 x x) -1/2 (+.f64 -1 x))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) x))
(fma.f64 (fma.f64 -1/2 x 1) x -1)
(*.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1))) 2))
(fma.f64 (*.f64 x x) -1/2 (+.f64 -1 x))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) x))
(fma.f64 (fma.f64 -1/2 x 1) x -1)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1))) 2) (cbrt.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1))))
(fma.f64 (*.f64 x x) -1/2 (+.f64 -1 x))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) x))
(fma.f64 (fma.f64 -1/2 x 1) x -1)
(*.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1))) (sqrt.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1))))
(fma.f64 (*.f64 x x) -1/2 (+.f64 -1 x))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) x))
(fma.f64 (fma.f64 -1/2 x 1) x -1)
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3) (pow.f64 (+.f64 x -1) 3)) (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (-.f64 (pow.f64 (+.f64 x -1) 2) (*.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 x -1)))))
(/.f64 (+.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3) (pow.f64 (+.f64 -1 x) 3)) (+.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 2) (-.f64 (pow.f64 (+.f64 -1 x) 2) (*.f64 (+.f64 -1 x) (*.f64 -1/2 (*.f64 x x))))))
(/.f64 (+.f64 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3)) (pow.f64 (+.f64 -1 x) 3)) (+.f64 (*.f64 (pow.f64 x 4) 1/4) (*.f64 (+.f64 -1 x) (+.f64 (+.f64 -1 x) (*.f64 (*.f64 x x) 1/2)))))
(/.f64 (fma.f64 -1/8 (pow.f64 (*.f64 x x) 3) (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 (-.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (pow.f64 (+.f64 x -1) 2)) (-.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 x -1)))
(/.f64 (-.f64 (pow.f64 (*.f64 -1/2 (*.f64 x x)) 2) (pow.f64 (+.f64 -1 x) 2)) (-.f64 (*.f64 -1/2 (*.f64 x x)) (+.f64 -1 x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/4) (pow.f64 (+.f64 -1 x) 2)) (+.f64 (*.f64 x (fma.f64 -1/2 x -1)) 1))
(/.f64 (fma.f64 (pow.f64 x 4) 1/4 (neg.f64 (pow.f64 (+.f64 -1 x) 2))) (fma.f64 x (fma.f64 -1/2 x -1) 1))
(pow.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1)) 1)
(fma.f64 (*.f64 x x) -1/2 (+.f64 -1 x))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) x))
(fma.f64 (fma.f64 -1/2 x 1) x -1)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1))) 3)
(fma.f64 (*.f64 x x) -1/2 (+.f64 -1 x))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) x))
(fma.f64 (fma.f64 -1/2 x 1) x -1)
(pow.f64 (pow.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1)) 2) 1/2)
(fma.f64 (*.f64 x x) -1/2 (+.f64 -1 x))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) x))
(fma.f64 (fma.f64 -1/2 x 1) x -1)
(pow.f64 (pow.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1)) 3) 1/3)
(fma.f64 (*.f64 x x) -1/2 (+.f64 -1 x))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) x))
(fma.f64 (fma.f64 -1/2 x 1) x -1)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1))) 2)
(fma.f64 (*.f64 x x) -1/2 (+.f64 -1 x))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) x))
(fma.f64 (fma.f64 -1/2 x 1) x -1)
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1)) 2))
(fma.f64 (*.f64 x x) -1/2 (+.f64 -1 x))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) x))
(fma.f64 (fma.f64 -1/2 x 1) x -1)
(log.f64 (exp.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1))))
(fma.f64 (*.f64 x x) -1/2 (+.f64 -1 x))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) x))
(fma.f64 (fma.f64 -1/2 x 1) x -1)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1)))))
(fma.f64 (*.f64 x x) -1/2 (+.f64 -1 x))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) x))
(fma.f64 (fma.f64 -1/2 x 1) x -1)
(log.f64 (*.f64 (exp.f64 (+.f64 x -1)) (exp.f64 (*.f64 x (*.f64 x -1/2)))))
(fma.f64 (*.f64 x x) -1/2 (+.f64 -1 x))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) x))
(fma.f64 (fma.f64 -1/2 x 1) x -1)
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x -1))) (exp.f64 (*.f64 x (*.f64 x -1/2)))))
(fma.f64 (*.f64 x x) -1/2 (+.f64 -1 x))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) x))
(fma.f64 (fma.f64 -1/2 x 1) x -1)
(log.f64 (*.f64 (exp.f64 (*.f64 x (*.f64 x -1/2))) (+.f64 1 (expm1.f64 (+.f64 x -1)))))
(fma.f64 (*.f64 x x) -1/2 (+.f64 -1 x))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) x))
(fma.f64 (fma.f64 -1/2 x 1) x -1)
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1)) 3))
(fma.f64 (*.f64 x x) -1/2 (+.f64 -1 x))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) x))
(fma.f64 (fma.f64 -1/2 x 1) x -1)
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1))))
(fma.f64 (*.f64 x x) -1/2 (+.f64 -1 x))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) x))
(fma.f64 (fma.f64 -1/2 x 1) x -1)
(exp.f64 (log.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1))))
(fma.f64 (*.f64 x x) -1/2 (+.f64 -1 x))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) x))
(fma.f64 (fma.f64 -1/2 x 1) x -1)
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1))) 1))
(fma.f64 (*.f64 x x) -1/2 (+.f64 -1 x))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) x))
(fma.f64 (fma.f64 -1/2 x 1) x -1)
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1))) 1) 1))
(fma.f64 (*.f64 x x) -1/2 (+.f64 -1 x))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) x))
(fma.f64 (fma.f64 -1/2 x 1) x -1)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1)))) 3))
(fma.f64 (*.f64 x x) -1/2 (+.f64 -1 x))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) x))
(fma.f64 (fma.f64 -1/2 x 1) x -1)
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1)) 3)) 1/3))
(fma.f64 (*.f64 x x) -1/2 (+.f64 -1 x))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) x))
(fma.f64 (fma.f64 -1/2 x 1) x -1)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1)))) 2))
(fma.f64 (*.f64 x x) -1/2 (+.f64 -1 x))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) x))
(fma.f64 (fma.f64 -1/2 x 1) x -1)
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 x x) -1/2 (+.f64 x -1))))
(fma.f64 (*.f64 x x) -1/2 (+.f64 -1 x))
(+.f64 -1 (fma.f64 -1/2 (*.f64 x x) x))
(fma.f64 (fma.f64 -1/2 x 1) x -1)

eval43.0ms (0.6%)

Compiler

Compiled 2087 to 1270 computations (39.1% saved)

prune180.0ms (2.3%)

Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New1592161
Fresh011
Picked044
Done011
Total1598167
Accurracy
100.0%
Counts
167 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.0%
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
98.2%
(/.f64 (log1p.f64 (neg.f64 x)) x)
99.0%
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
98.2%
(-.f64 (*.f64 -1/2 x) 1)
98.8%
(-.f64 -1 x)
99.0%
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
98.1%
-1
99.0%
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
98.2%
(/.f64 (log1p.f64 (neg.f64 x)) x)
99.0%
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
98.2%
(-.f64 (*.f64 -1/2 x) 1)
98.8%
(-.f64 -1 x)
99.0%
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
98.1%
-1
Compiler

Compiled 106 to 76 computations (28.3% saved)

localize271.0ms (3.5%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiled 33 to 23 computations (30.3% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite62.0ms (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))

simplify120.0ms (1.6%)

Algorithm
egg-herbie
Rules
1216×fma-neg
1166×fma-def
626×distribute-rgt-in
616×distribute-lft-in
588×unsub-neg
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01091575
12901495
210851355
355871175
Stop Event
node limit
Counts
49 → 56
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 (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 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(-.f64 (fma.f64 x (*.f64 x -1/2) -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)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(-.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 -1/2 (*.f64 x x))
(*.f64 x (*.f64 x -1/2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(fma.f64 -1/2 (*.f64 x x) (neg.f64 x))
(*.f64 x (+.f64 (*.f64 x -1/2) -1))
(*.f64 x (fma.f64 x -1/2 -1))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(-.f64 (fma.f64 x (*.f64 x -1/2) -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)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(-.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 -1/2 (*.f64 x x))
(*.f64 x (*.f64 x -1/2))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(fma.f64 -1/2 (*.f64 x x) (neg.f64 x))
(*.f64 x (+.f64 (*.f64 x -1/2) -1))
(*.f64 x (fma.f64 x -1/2 -1))
(-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(-.f64 (fma.f64 x (*.f64 x -1/2) -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)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(-.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))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(-.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))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(-.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))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(-.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))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(-.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))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(-.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)))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(-.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))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(-.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))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(-.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)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(-.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))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(-.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))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(-.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)))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(-.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)))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(-.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) (+.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 x (*.f64 (fma.f64 x (*.f64 x -1/2) -1) (fma.f64 x (+.f64 1 (*.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 (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)))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(-.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) (+.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 x (*.f64 (fma.f64 x (*.f64 x -1/2) -1) (fma.f64 x (+.f64 1 (*.f64 x -1/2)) -1))))
(/.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 (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) (+.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 x (*.f64 (fma.f64 x (*.f64 x -1/2) -1) (fma.f64 x (+.f64 1 (*.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)) (/.f64 1 (+.f64 x (fma.f64 x (*.f64 x -1/2) -1))))
(/.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) (+.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 x (*.f64 (fma.f64 x (*.f64 x -1/2) -1) (fma.f64 x (+.f64 1 (*.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) 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 (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) (+.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 x (*.f64 (fma.f64 x (*.f64 x -1/2) -1) (fma.f64 x (+.f64 1 (*.f64 x -1/2)) -1))))
(/.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 (fma.f64 x (fma.f64 x -1/2 -1) -1) 1)
(pow.f64 (-.f64 (fma.f64 x (*.f64 x -1/2) -1) x) 1)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(-.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)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(-.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)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(-.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)
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(-.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))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(-.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)))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(-.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))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(-.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)))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(-.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)))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(-.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)))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(-.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))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(-.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))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(-.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))
(fma.f64 x (*.f64 x -1/2) (-.f64 -1 x))
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)

eval18.0ms (0.2%)

Compiler

Compiled 860 to 584 computations (32.1% saved)

prune10.0ms (0.1%)

Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New55156
Fresh011
Picked022
Done235
Total57764
Accurracy
100.0%
Counts
64 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
99.0%
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
98.2%
(-.f64 (*.f64 -1/2 x) 1)
98.8%
(-.f64 -1 x)
99.0%
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
99.0%
(+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x))
98.1%
-1
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
99.0%
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
98.2%
(-.f64 (*.f64 -1/2 x) 1)
98.8%
(-.f64 -1 x)
99.0%
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
99.0%
(+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x))
98.1%
-1
Compiler

Compiled 96 to 70 computations (27.1% saved)

localize31.0ms (0.4%)

Local Accuracy

Found 1 expressions with local accuracy:

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))

rewrite77.0ms (1%)

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%)

Algorithm
egg-herbie
Rules
1148×fma-neg
1098×fma-def
804×div-sub
556×distribute-lft-in
534×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02102926
15342634
214512298
353772298
Stop Event
node limit
Counts
88 → 105
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 -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 -1/2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(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)
(-.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 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(fma.f64 -1/2 (*.f64 x x) (neg.f64 x))
(-.f64 (*.f64 x (*.f64 x -1/2)) x)
(*.f64 x (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)
(-.f64 (fma.f64 x (*.f64 x -1/2) -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)
(-.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 -1/2 (pow.f64 x 2)) (*.f64 -1 x))
(fma.f64 -1/2 (*.f64 x x) (neg.f64 x))
(-.f64 (*.f64 x (*.f64 x -1/2)) x)
(*.f64 x (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)
(-.f64 (fma.f64 x (*.f64 x -1/2) -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)
(-.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 -1/2 (*.f64 x x) (neg.f64 x)) -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 -1/2 (*.f64 x x) (neg.f64 x)) -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 -1/2 (*.f64 x x) (neg.f64 x)) -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 -1/2 (*.f64 x x) (neg.f64 x)) -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 -1/2 (*.f64 x x) (neg.f64 x)) -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 -1/2 (*.f64 x x) (neg.f64 x)) -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 -1/2 (*.f64 x x) (neg.f64 x)) -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 -1/2 (*.f64 x x) (neg.f64 x)) -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))))
(*.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))))
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(fma.f64 (-.f64 -1 x) 1 (*.f64 x (*.f64 x -1/2)))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(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 -1/2 (*.f64 x x) (neg.f64 x)) -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 -1/2 (*.f64 x x) (neg.f64 x)) -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 -1/2 (*.f64 x x) (neg.f64 x)) -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 -1/2 (*.f64 x x) (neg.f64 x)) -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 -1/2 (*.f64 x x) (neg.f64 x)) -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 -1/2 (*.f64 x x) (neg.f64 x)) -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 -1/2 (*.f64 x x) (neg.f64 x)) -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 -1/2 (*.f64 x x) (neg.f64 x)) -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 -1/2 (*.f64 x x) (neg.f64 x)) -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 -1/2 (*.f64 x x) (neg.f64 x)) -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 -1/2 (*.f64 x x) (neg.f64 x)) -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 -1/2 (*.f64 x x) (neg.f64 x)) -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 -1/2 (*.f64 x x) (neg.f64 x)) -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 -1/2 (*.f64 x x) (neg.f64 x)) -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 -1/2 (*.f64 x x) (neg.f64 x)) -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 -1/2 (*.f64 x x) (neg.f64 x)) -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 -1/2 (*.f64 x x) (neg.f64 x)) -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 -1/2 (*.f64 x x) (neg.f64 x)) -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 -1/2 (*.f64 x x) (neg.f64 x)) -1)
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
(fma.f64 x (fma.f64 x -1/2 -1) -1)

eval34.0ms (0.4%)

Compiler

Compiled 1625 to 1173 computations (27.8% saved)

prune21.0ms (0.3%)

Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New1041105
Fresh011
Picked011
Done145
Total1057112
Accurracy
100.0%
Counts
112 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
99.0%
(-.f64 (fma.f64 x (*.f64 x -1/2) -1) x)
98.2%
(-.f64 (*.f64 -1/2 x) 1)
99.0%
(-.f64 -1 (-.f64 x (*.f64 x (*.f64 x -1/2))))
98.8%
(-.f64 -1 x)
99.0%
(+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x))
98.1%
-1
Compiler

Compiled 121 to 82 computations (32.2% saved)

regimes50.0ms (0.7%)

Counts
11 → 1
Calls
Call 1
Inputs
-1
(-.f64 -1 x)
(-.f64 (*.f64 -1/2 x) 1)
(+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x))
(-.f64 -1 (-.f64 x (*.f64 x (*.f64 x -1/2))))
(/.f64 (log1p.f64 (neg.f64 x)) 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 (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:

45.0ms
x
3.0ms
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
Compiler

Compiled 85 to 56 computations (34.1% saved)

regimes7.0ms (0.1%)

Counts
9 → 1
Calls
Call 1
Inputs
-1
(-.f64 -1 x)
(-.f64 (*.f64 -1/2 x) 1)
(+.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x))
(-.f64 -1 (-.f64 x (*.f64 x (*.f64 x -1/2))))
(/.f64 (log1p.f64 (neg.f64 x)) 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 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
99.0%1x
Compiler

Compiled 60 to 39 computations (35% saved)

regimes4.0ms (0.1%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
98.8%1x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
98.1%1x
Compiler

Compiled 4 to 3 computations (25% saved)

simplify5.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01452
12152
22452
32552
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 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 (*.f64 x (*.f64 x -1/2)) (-.f64 -1 x))
(-.f64 -1 x)
-1
Compiler

Compiled 23 to 17 computations (26.1% saved)

soundness343.0ms (4.4%)

Rules
1916×pow1
1772×add-exp-log
1772×log1p-expm1-u
1772×expm1-log1p-u
1736×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01021
11619
22119
32819
43619
54619
66019
77619
88019
02353091
16992753
223502515
02353091
16992753
223502515
01336
127332
2338732
0921
119021
2234521
Stop Event
node limit
node limit
node limit
node limit
saturated
Compiler

Compiled 239 to 171 computations (28.5% saved)

end48.0ms (0.6%)

Compiler

Compiled 94 to 70 computations (25.5% saved)

Profiling

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