Details

Time bar (total: 3.9s)

analyze121.0ms (3.1%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
12.5%9.4%65.5%0.1%0%25%0%6
18.8%14%60.8%0.1%0%25%0%7
20%14%56.2%0.1%4.7%25%0%8
27.7%14%36.7%0.1%11.7%37.4%0%9
32.8%14.8%30.4%0.1%17.2%37.4%0%10
35.4%15.5%28.3%0.1%18.6%37.4%0%11
47.3%16.4%18.3%0.1%21.4%43.7%0%12
Compiler

Compiled 13 to 9 computations (30.8% saved)

sample2.5s (63.6%)

Results
1.6s8256×body256valid
452.0ms2527×body256invalid
421.0ms3068×body256infinite
Bogosity

preprocess64.0ms (1.6%)

Algorithm
2×egg-herbie
Rules
1636×unswap-sqr
1082×associate-*r*
924×associate-/r/
808×times-frac
788×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024108
15792
214092
328692
456792
5128892
6558592
033
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(exp.f64 (-.f64 (+.f64 y (*.f64 x (log.f64 x))) z))
(exp.f64 (-.f64 (+.f64 z (*.f64 y (log.f64 y))) x))
(exp.f64 (-.f64 (+.f64 x (*.f64 z (log.f64 z))) y))
Outputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(exp.f64 (+.f64 x (-.f64 (*.f64 y (log.f64 y)) z)))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(exp.f64 (-.f64 (+.f64 y (*.f64 x (log.f64 x))) z))
(exp.f64 (+.f64 y (-.f64 (*.f64 x (log.f64 x)) z)))
(exp.f64 (-.f64 (fma.f64 x (log.f64 x) y) z))
(*.f64 (pow.f64 x x) (exp.f64 (-.f64 y z)))
(exp.f64 (-.f64 (+.f64 z (*.f64 y (log.f64 y))) x))
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) z) x))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) z) x))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(exp.f64 (-.f64 (+.f64 x (*.f64 z (log.f64 z))) y))
(exp.f64 (+.f64 x (-.f64 (*.f64 z (log.f64 z)) y)))
(exp.f64 (-.f64 (fma.f64 z (log.f64 z) x) y))
(*.f64 (pow.f64 z z) (exp.f64 (-.f64 x y)))
(/.f64 (pow.f64 z z) (exp.f64 (-.f64 y x)))
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify93.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
1060×associate-*r/
920×associate-/l/
850×associate-/r/
716×unswap-sqr
614×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01127
12023
24523
38823
416623
532723
6105923
7251323
8559623
9672523
Stop Event
1×node limit
Counts
1 → 4
Calls
Call 1
Inputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
Outputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(exp.f64 (+.f64 x (-.f64 (*.f64 y (log.f64 y)) z)))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))

eval1.0ms (0%)

Compiler

Compiled 37 to 18 computations (51.4% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New224
Fresh011
Picked000
Done000
Total235
Accurracy
100.0%
Counts
5 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶77.0%
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
▶99.9%
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
Compiler

Compiled 23 to 15 computations (34.8% saved)

localize12.0ms (0.3%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(+.f64 x (*.f64 y (log.f64 y)))
✓99.9%
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
✓99.5%
(*.f64 y (log.f64 y))
Compiler

Compiled 35 to 8 computations (77.1% saved)

series58.0ms (1.5%)

Counts
3 → 68
Calls

18 calls:

TimeVariablePointExpression
26.0ms
y
@0
(*.f64 y (log.f64 y))
17.0ms
y
@-inf
(*.f64 y (log.f64 y))
7.0ms
y
@inf
(*.f64 y (log.f64 y))
2.0ms
x
@0
(+.f64 x (*.f64 y (log.f64 y)))
0.0ms
x
@0
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))

rewrite88.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
1172×distribute-lft-in
1158×associate-*r/
1046×associate-*l/
428×associate-+l+
264×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01155
123347
2323047
Stop Event
1×node limit
Counts
3 → 138
Calls
Call 1
Inputs
(*.f64 y (log.f64 y))
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(+.f64 x (*.f64 y (log.f64 y)))
Outputs
(((+.f64 (*.f64 y 0) (*.f64 y (log.f64 y))) (2)) ((+.f64 (*.f64 y (log.f64 (sqrt.f64 y))) (*.f64 y (log.f64 (sqrt.f64 y)))) (2)) ((+.f64 (*.f64 y (log.f64 (cbrt.f64 (*.f64 y y)))) (*.f64 y (log.f64 (cbrt.f64 y)))) (2)) ((-.f64 (exp.f64 (log1p.f64 (*.f64 y (log.f64 y)))) 1) (2)) ((pow.f64 (*.f64 y (log.f64 y)) 1) (2)) ((pow.f64 (sqrt.f64 (*.f64 y (log.f64 y))) 2) (2)) ((pow.f64 (cbrt.f64 (*.f64 y (log.f64 y))) 3) (2)) ((pow.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) 1/3) (2)) ((sqrt.f64 (pow.f64 (*.f64 y (log.f64 y)) 2)) (2)) ((log.f64 (pow.f64 y y)) (2)) ((log.f64 (+.f64 1 (-.f64 (pow.f64 y y) 1))) (2)) ((cbrt.f64 (pow.f64 (*.f64 y (log.f64 y)) 3)) (2)) ((expm1.f64 (log1p.f64 (*.f64 y (log.f64 y)))) (2)) ((exp.f64 (log.f64 (*.f64 y (log.f64 y)))) (2)) ((exp.f64 (*.f64 (log.f64 (*.f64 y (log.f64 y))) 1)) (2)) ((log1p.f64 (-.f64 (pow.f64 y y) 1)) (2)))
(((-.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)))) 1) (2)) ((*.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) 1) (2)) ((*.f64 1 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))) (2)) ((*.f64 (sqrt.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))) (sqrt.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)))) (2)) ((*.f64 (cbrt.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))) 2)) (2)) ((*.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))) 2) (cbrt.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)))) (2)) ((*.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (exp.f64 (neg.f64 z))) (2)) ((*.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (/.f64 1 (exp.f64 z))) (2)) ((*.f64 (exp.f64 x) (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z))) (2)) ((*.f64 (/.f64 1 (exp.f64 z)) (*.f64 (pow.f64 y y) (exp.f64 x))) (2)) ((/.f64 1 (/.f64 (/.f64 (exp.f64 z) (pow.f64 y y)) (exp.f64 x))) (2)) ((/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (exp.f64 z)) (2)) ((/.f64 (pow.f64 y y) (/.f64 (exp.f64 z) (exp.f64 x))) (2)) ((/.f64 (exp.f64 x) (/.f64 (exp.f64 z) (pow.f64 y y))) (2)) ((/.f64 (sqrt.f64 (*.f64 (pow.f64 y y) (exp.f64 x))) (/.f64 (exp.f64 z) (sqrt.f64 (*.f64 (pow.f64 y y) (exp.f64 x))))) (2)) ((/.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 y y) (exp.f64 x))) (cbrt.f64 (*.f64 (pow.f64 y y) (exp.f64 x)))) (/.f64 (exp.f64 z) (cbrt.f64 (*.f64 (pow.f64 y y) (exp.f64 x))))) (2)) ((/.f64 (neg.f64 (*.f64 (pow.f64 y y) (exp.f64 x))) (neg.f64 (exp.f64 z))) (2)) ((/.f64 (*.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 1) (exp.f64 z)) (2)) ((/.f64 (*.f64 1 (neg.f64 (*.f64 (pow.f64 y y) (exp.f64 x)))) (neg.f64 (exp.f64 z))) (2)) ((/.f64 (*.f64 (sqrt.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))) (sqrt.f64 (*.f64 (pow.f64 y y) (exp.f64 x)))) (sqrt.f64 (exp.f64 z))) (2)) ((/.f64 (*.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))) 2) (cbrt.f64 (*.f64 (pow.f64 y y) (exp.f64 x)))) (cbrt.f64 (exp.f64 z))) (2)) ((/.f64 (*.f64 (neg.f64 (*.f64 (pow.f64 y y) (exp.f64 x))) 1) (neg.f64 (exp.f64 z))) (2)) ((/.f64 (*.f64 (sqrt.f64 (*.f64 (pow.f64 y y) (exp.f64 x))) (sqrt.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)))) (sqrt.f64 (exp.f64 z))) (2)) ((/.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 y y) (exp.f64 x))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))) 2)) (cbrt.f64 (exp.f64 z))) (2)) ((/.f64 (/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 1) (exp.f64 z)) (2)) ((/.f64 (/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (sqrt.f64 (exp.f64 z))) (sqrt.f64 (exp.f64 z))) (2)) ((/.f64 (/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (*.f64 (cbrt.f64 (exp.f64 z)) (cbrt.f64 (exp.f64 z)))) (cbrt.f64 (exp.f64 z))) (2)) ((pow.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) 1) (2)) ((pow.f64 (sqrt.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))) 2) (2)) ((pow.f64 (cbrt.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))) 3) (2)) ((pow.f64 (pow.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) 3) 1/3) (2)) ((pow.f64 (exp.f64 1) (-.f64 (fma.f64 y (log.f64 y) x) z)) (2)) ((pow.f64 (exp.f64 (sqrt.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))) (sqrt.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))) (2)) ((pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) 2)) (cbrt.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))) (2)) ((sqrt.f64 (pow.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) 2)) (2)) ((log.f64 (exp.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))))) (2)) ((cbrt.f64 (pow.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) 3)) (2)) ((expm1.f64 (log1p.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)))) (2)) ((log1p.f64 (expm1.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)))) (2)))
(((-.f64 (exp.f64 (log1p.f64 (*.f64 y (log.f64 y)))) (-.f64 1 x)) (2)) ((-.f64 (exp.f64 (log1p.f64 (fma.f64 y (log.f64 y) x))) 1) (2)) ((-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 y (log.f64 y)))) (2)) ((-.f64 (/.f64 x (/.f64 (-.f64 x (*.f64 y (log.f64 y))) x)) (/.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (-.f64 x (*.f64 y (log.f64 y))))) (2)) ((-.f64 (+.f64 (*.f64 y (log.f64 y)) (exp.f64 (log1p.f64 x))) 1) (2)) ((-.f64 (+.f64 x (exp.f64 (log1p.f64 (*.f64 y (log.f64 y))))) 1) (2)) ((*.f64 (fma.f64 y (log.f64 y) x) 1) (2)) ((*.f64 1 (fma.f64 y (log.f64 y) x)) (2)) ((*.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 (fma.f64 y (log.f64 y) x))) (2)) ((*.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) 2)) (2)) ((*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) 2) (cbrt.f64 (fma.f64 y (log.f64 y) x))) (2)) ((*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2)) (/.f64 1 (-.f64 x (*.f64 y (log.f64 y))))) (2)) ((*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (log.f64 y)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x))))) (2)) ((*.f64 (/.f64 1 (-.f64 x (*.f64 y (log.f64 y)))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2))) (2)) ((*.f64 (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x)))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (log.f64 y)) 3))) (2)) ((*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2))) (fma.f64 y (log.f64 y) x)) (2)) ((*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2)) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (log.f64 y)) 3))) (+.f64 (*.f64 x x) (*.f64 (*.f64 y (log.f64 y)) (fma.f64 y (log.f64 y) x)))) (2)) ((*.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (log.f64 y)) 3)) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x)) (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x))))) (-.f64 (*.f64 x x) (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x)))) (2)) ((*.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (log.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x)) 3))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x)) (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x)))))) (2)) ((/.f64 (fma.f64 y (log.f64 y) x) (/.f64 (-.f64 x (*.f64 y (log.f64 y))) (-.f64 x (*.f64 y (log.f64 y))))) (2)) ((/.f64 1 (/.f64 1 (fma.f64 y (log.f64 y) x))) (2)) ((/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2)) (-.f64 x (*.f64 y (log.f64 y)))) (2)) ((/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (log.f64 y)) 3)) (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x)))) (2)) ((/.f64 (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x))) (/.f64 (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x))) (fma.f64 y (log.f64 y) x))) (2)) ((/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2))) (/.f64 (-.f64 x (*.f64 y (log.f64 y))) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2))))) (2)) ((/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (log.f64 y)) 3))) (/.f64 (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x))) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (log.f64 y)) 3))))) (2)) ((/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2)))) (/.f64 (-.f64 x (*.f64 y (log.f64 y))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2))))) (2)) ((/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (log.f64 y)) 3))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (log.f64 y)) 3)))) (/.f64 (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (log.f64 y)) 3))))) (2)) ((/.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 (*.f64 y (log.f64 y)) 3))) (*.f64 (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (log.f64 y)) 3)))) (2)) ((/.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.f64 x x)) (-.f64 (*.f64 y (log.f64 y)) x)) (2)) ((/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (pow.f64 (*.f64 y (log.f64 y)) 2))) (*.f64 (-.f64 x (*.f64 y (log.f64 y))) (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.f64 x x)))) (2)) ((/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) 3)) (*.f64 (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (-.f64 (*.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 (*.f64 y (log.f64 y)) 3)) (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (log.f64 y)) 3)))))) (2)) ((/.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) 3)) (*.f64 (-.f64 x (*.f64 y (log.f64 y))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (*.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (pow.f64 (*.f64 y (log.f64 y)) 2)) (*.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2)))))) (2)) ((/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2))) (neg.f64 (-.f64 x (*.f64 y (log.f64 y))))) (2)) ((/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (log.f64 y)) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x))))) (2)) ((/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (log.f64 y)) 3)) 1) (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x)))) (2)) ((/.f64 (*.f64 1 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.f64 x x))) (-.f64 (*.f64 y (log.f64 y)) x)) (2)) ((/.f64 (*.f64 1 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 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(-.f64 (*.f64 y (log.f64 y)) x))))) (2)) ((/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2)) 1) (-.f64 x (*.f64 y (log.f64 y)))) (2)) ((/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.f64 x x)) 1) (-.f64 (*.f64 y (log.f64 y)) x)) (2)) ((/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2))) 1) (neg.f64 (-.f64 x (*.f64 y (log.f64 y))))) (2)) ((/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (log.f64 y)) 3))) 1) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x))))) (2)) ((/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2))) (sqrt.f64 (fma.f64 y (log.f64 y) x))) (sqrt.f64 (-.f64 x (*.f64 y (log.f64 y))))) (2)) ((/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (log.f64 y)) 3))) (sqrt.f64 (fma.f64 y (log.f64 y) x))) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x))))) (2)) ((/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2))) (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) 2)) (cbrt.f64 (-.f64 x (*.f64 y (log.f64 y))))) (2)) ((/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (log.f64 y)) 3))) (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) 2)) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x))))) (2)) ((/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (pow.f64 (*.f64 y (log.f64 y)) 2))) (/.f64 1 (-.f64 x (*.f64 y (log.f64 y))))) (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.f64 x x))) (2)) ((/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) 3)) (/.f64 1 (-.f64 x (*.f64 y (log.f64 y))))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (*.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (pow.f64 (*.f64 y (log.f64 y)) 2)) (*.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2))))) (2)) ((/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 (*.f64 y (log.f64 y)) 3))) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x))))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (log.f64 y)) 3))) (2)) ((/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x))))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (-.f64 (*.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 (*.f64 y (log.f64 y)) 3)) (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (log.f64 y)) 3))))) (2)) ((/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2)) 1) (-.f64 x (*.f64 y (log.f64 y)))) (2)) ((/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2)) (sqrt.f64 (-.f64 x (*.f64 y (log.f64 y))))) (sqrt.f64 (-.f64 x (*.f64 y (log.f64 y))))) (2)) ((/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2)) (*.f64 (cbrt.f64 (-.f64 x (*.f64 y (log.f64 y)))) (cbrt.f64 (-.f64 x (*.f64 y (log.f64 y)))))) 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2) (cbrt.f64 (*.f64 y (log.f64 y))) x) (2)) ((fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y (log.f64 y))) (2)))

simplify120.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
1190×associate-/r/
736×+-commutative
724×associate-+r+
686×associate-*r*
652×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04177750
111557466
254797330
Stop Event
1×node limit
Counts
206 → 241
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) z))
(+.f64 (*.f64 (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)) x) (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)))
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(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z))
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z))
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z))
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z))
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) (+.f64 (*.f64 -1 x) z)))
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(exp.f64 (-.f64 (*.f64 y (log.f64 y)) (+.f64 (*.f64 -1 x) z)))
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(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z))
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z))
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z))
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(*.f64 y (log.f64 y))
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(+.f64 (*.f64 y (log.f64 y)) x)
(+.f64 (*.f64 y (log.f64 y)) x)
x
(+.f64 (*.f64 y (log.f64 y)) x)
(+.f64 (*.f64 y (log.f64 y)) x)
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x
(+.f64 (*.f64 y (log.f64 y)) x)
(+.f64 (*.f64 y (log.f64 y)) x)
(+.f64 (*.f64 y (log.f64 y)) x)
x
(+.f64 (*.f64 y (log.f64 y)) x)
(+.f64 (*.f64 y (log.f64 y)) x)
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(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))
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(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
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(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) x)
(+.f64 (*.f64 y 0) (*.f64 y (log.f64 y)))
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(+.f64 (*.f64 y (log.f64 (cbrt.f64 (*.f64 y y)))) (*.f64 y (log.f64 (cbrt.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (log.f64 y)))) 1)
(pow.f64 (*.f64 y (log.f64 y)) 1)
(pow.f64 (sqrt.f64 (*.f64 y (log.f64 y))) 2)
(pow.f64 (cbrt.f64 (*.f64 y (log.f64 y))) 3)
(pow.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 y (log.f64 y)) 2))
(log.f64 (pow.f64 y y))
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(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (log.f64 y)) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x)))))) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x)))))
(pow.f64 (fma.f64 y (log.f64 y) x) 1)
(pow.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) 2)
(pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) 3)
(pow.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 2))
(log.f64 (*.f64 (pow.f64 y y) (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (log.f64 y) x))))
(cbrt.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 y (log.f64 y) x)))
(exp.f64 (log.f64 (fma.f64 y (log.f64 y) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (log.f64 y) x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 y (log.f64 y) x)))
(fma.f64 y (log.f64 y) x)
(fma.f64 (log.f64 y) y x)
(fma.f64 1 (*.f64 y (log.f64 y)) x)
(fma.f64 1 x (*.f64 y (log.f64 y)))
(fma.f64 (sqrt.f64 (*.f64 y (log.f64 y))) (sqrt.f64 (*.f64 y (log.f64 y))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (log.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (log.f64 y))) 2) (cbrt.f64 (*.f64 y (log.f64 y))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y (log.f64 y)))
Outputs
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (neg.f64 (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (neg.f64 (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (neg.f64 (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (neg.f64 (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(*.f64 y (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))
(*.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(*.f64 y (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))
(*.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(*.f64 y (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))
(*.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(*.f64 y (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))
(*.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) z))
(/.f64 (pow.f64 y y) (exp.f64 z))
(+.f64 (*.f64 (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)) x) (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)))
(fma.f64 (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)) x (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)))
(*.f64 (+.f64 x 1) (/.f64 (pow.f64 y y) (exp.f64 z)))
(*.f64 (+.f64 1 x) (/.f64 (pow.f64 y y) (exp.f64 z)))
(+.f64 (*.f64 1/2 (*.f64 (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)) (pow.f64 x 2))) (+.f64 (*.f64 (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)) x) (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z))))
(fma.f64 1/2 (*.f64 (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)) (*.f64 x x)) (fma.f64 (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)) x (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z))))
(fma.f64 1/2 (/.f64 (*.f64 (pow.f64 y y) (*.f64 x x)) (exp.f64 z)) (*.f64 (+.f64 x 1) (/.f64 (pow.f64 y y) (exp.f64 z))))
(fma.f64 1/2 (/.f64 (*.f64 (pow.f64 y y) (*.f64 x x)) (exp.f64 z)) (*.f64 (+.f64 1 x) (/.f64 (pow.f64 y y) (exp.f64 z))))
(+.f64 (*.f64 1/2 (*.f64 (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)) (pow.f64 x 2))) (+.f64 (*.f64 (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)) x) (+.f64 (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)) (*.f64 1/6 (*.f64 (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)) (pow.f64 x 3))))))
(fma.f64 1/2 (*.f64 (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)) (*.f64 x x)) (+.f64 (fma.f64 (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)) x (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z))) (*.f64 1/6 (*.f64 (exp.f64 (-.f64 (*.f64 y (log.f64 y)) z)) (pow.f64 x 3)))))
(+.f64 (fma.f64 1/2 (/.f64 (*.f64 (pow.f64 y y) (*.f64 x x)) (exp.f64 z)) (*.f64 (+.f64 x 1) (/.f64 (pow.f64 y y) (exp.f64 z)))) (*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (*.f64 (pow.f64 x 3) 1/6)))
(+.f64 (fma.f64 1/2 (/.f64 (*.f64 (pow.f64 y y) (*.f64 x x)) (exp.f64 z)) (*.f64 (+.f64 1 x) (/.f64 (pow.f64 y y) (exp.f64 z)))) (*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (*.f64 (pow.f64 x 3) 1/6)))
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) (+.f64 (*.f64 -1 x) z)))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) (+.f64 (*.f64 -1 x) z)))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) (+.f64 (*.f64 -1 x) z)))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) (+.f64 (*.f64 -1 x) z)))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(exp.f64 (-.f64 x z))
(+.f64 (*.f64 y (*.f64 (exp.f64 (-.f64 x z)) (log.f64 y))) (exp.f64 (-.f64 x z)))
(fma.f64 y (*.f64 (log.f64 y) (exp.f64 (-.f64 x z))) (exp.f64 (-.f64 x z)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 (log.f64 y) 2)))) (+.f64 (*.f64 y (*.f64 (exp.f64 (-.f64 x z)) (log.f64 y))) (exp.f64 (-.f64 x z))))
(fma.f64 1/2 (*.f64 (*.f64 (*.f64 y y) (exp.f64 (-.f64 x z))) (pow.f64 (log.f64 y) 2)) (fma.f64 y (*.f64 (log.f64 y) (exp.f64 (-.f64 x z))) (exp.f64 (-.f64 x z))))
(fma.f64 1/2 (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 (*.f64 y (log.f64 y)) 2)) (fma.f64 y (*.f64 (log.f64 y) (exp.f64 (-.f64 x z))) (exp.f64 (-.f64 x z))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 (log.f64 y) 2)))) (+.f64 (*.f64 y (*.f64 (exp.f64 (-.f64 x z)) (log.f64 y))) (+.f64 (exp.f64 (-.f64 x z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 (log.f64 y) 3)))))))
(fma.f64 1/2 (*.f64 (*.f64 (*.f64 y y) (exp.f64 (-.f64 x z))) (pow.f64 (log.f64 y) 2)) (+.f64 (fma.f64 y (*.f64 (log.f64 y) (exp.f64 (-.f64 x z))) (exp.f64 (-.f64 x z))) (*.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 (log.f64 y) 3)))))
(fma.f64 1/2 (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 (*.f64 y (log.f64 y)) 2)) (fma.f64 y (*.f64 (log.f64 y) (exp.f64 (-.f64 x z))) (fma.f64 1/6 (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 (*.f64 y (log.f64 y)) 3)) (exp.f64 (-.f64 x z)))))
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(exp.f64 (+.f64 (*.f64 y (log.f64 y)) x))
(exp.f64 (fma.f64 y (log.f64 y) x))
(*.f64 (pow.f64 y y) (exp.f64 x))
(+.f64 (exp.f64 (+.f64 (*.f64 y (log.f64 y)) x)) (*.f64 -1 (*.f64 (exp.f64 (+.f64 (*.f64 y (log.f64 y)) x)) z)))
(+.f64 (exp.f64 (fma.f64 y (log.f64 y) x)) (neg.f64 (*.f64 z (exp.f64 (fma.f64 y (log.f64 y) x)))))
(-.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (*.f64 (pow.f64 y y) (*.f64 (exp.f64 x) z)))
(+.f64 (exp.f64 (+.f64 (*.f64 y (log.f64 y)) x)) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (+.f64 (*.f64 y (log.f64 y)) x)) z)) (*.f64 1/2 (*.f64 (exp.f64 (+.f64 (*.f64 y (log.f64 y)) x)) (pow.f64 z 2)))))
(+.f64 (exp.f64 (fma.f64 y (log.f64 y) x)) (fma.f64 -1 (*.f64 z (exp.f64 (fma.f64 y (log.f64 y) x))) (*.f64 1/2 (*.f64 (exp.f64 (fma.f64 y (log.f64 y) x)) (*.f64 z z)))))
(fma.f64 (pow.f64 y y) (exp.f64 x) (-.f64 (*.f64 1/2 (*.f64 (pow.f64 y y) (*.f64 (exp.f64 x) (*.f64 z z)))) (*.f64 (pow.f64 y y) (*.f64 (exp.f64 x) z))))
(+.f64 (*.f64 -1/6 (*.f64 (exp.f64 (+.f64 (*.f64 y (log.f64 y)) x)) (pow.f64 z 3))) (+.f64 (exp.f64 (+.f64 (*.f64 y (log.f64 y)) x)) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (+.f64 (*.f64 y (log.f64 y)) x)) z)) (*.f64 1/2 (*.f64 (exp.f64 (+.f64 (*.f64 y (log.f64 y)) x)) (pow.f64 z 2))))))
(fma.f64 -1/6 (*.f64 (exp.f64 (fma.f64 y (log.f64 y) x)) (pow.f64 z 3)) (+.f64 (exp.f64 (fma.f64 y (log.f64 y) x)) (fma.f64 -1 (*.f64 z (exp.f64 (fma.f64 y (log.f64 y) x))) (*.f64 1/2 (*.f64 (exp.f64 (fma.f64 y (log.f64 y) x)) (*.f64 z z))))))
(fma.f64 -1/6 (*.f64 (pow.f64 y y) (*.f64 (exp.f64 x) (pow.f64 z 3))) (fma.f64 (pow.f64 y y) (exp.f64 x) (-.f64 (*.f64 1/2 (*.f64 (pow.f64 y y) (*.f64 (exp.f64 x) (*.f64 z z)))) (*.f64 (pow.f64 y y) (*.f64 (exp.f64 x) z)))))
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(exp.f64 (-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(exp.f64 (+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x)))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(exp.f64 (+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x)))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(exp.f64 (+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x)))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(exp.f64 (+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x)))
(exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))
(*.f64 (exp.f64 (-.f64 x z)) (pow.f64 y y))
(*.f64 y (log.f64 y))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (neg.f64 (neg.f64 (log.f64 y))))
(+.f64 (*.f64 y (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
(+.f64 (*.f64 y (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
(+.f64 (*.f64 y (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
x
(+.f64 (*.f64 y (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
(+.f64 (*.f64 y (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
(+.f64 (*.f64 y (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
x
(+.f64 (*.f64 y (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
(+.f64 (*.f64 y (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
(+.f64 (*.f64 y (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
x
(+.f64 (*.f64 y (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
(+.f64 (*.f64 y (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
(+.f64 (*.f64 y (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (neg.f64 (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) x)
(fma.f64 y (log.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) x)
(fma.f64 y (log.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) x)
(fma.f64 y (log.f64 y) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(*.f64 y (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))
(*.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) x)
(fma.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) y x)
(fma.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) x)
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) x)
(fma.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) y x)
(fma.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) x)
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) x)
(fma.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) y x)
(fma.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) x)
(+.f64 (*.f64 y 0) (*.f64 y (log.f64 y)))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (neg.f64 (neg.f64 (log.f64 y))))
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(/.f64 (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) 2) (/.f64 (cbrt.f64 (-.f64 x (*.f64 y (log.f64 y)))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) 2) (cbrt.f64 (-.f64 x (*.f64 y (log.f64 y))))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (log.f64 y)) 3))) (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) 2)) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x)))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) 2) (/.f64 (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (fma.f64 y (log.f64 y) (neg.f64 x))))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (log.f64 y)) 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) 2) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (fma.f64 y (log.f64 y) (neg.f64 x)))))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (log.f64 y)) 3))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (pow.f64 (*.f64 y (log.f64 y)) 2))) (/.f64 1 (-.f64 x (*.f64 y (log.f64 y))))) (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 x (pow.f64 x 3)) (pow.f64 (*.f64 y (log.f64 y)) 4)) (*.f64 (-.f64 x (*.f64 y (log.f64 y))) (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.f64 x x))))
(*.f64 (/.f64 (fma.f64 x x (pow.f64 (*.f64 y (log.f64 y)) 2)) (fma.f64 x x (pow.f64 (*.f64 y (log.f64 y)) 2))) (fma.f64 y (log.f64 y) x))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) 3)) (/.f64 1 (-.f64 x (*.f64 y (log.f64 y))))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (*.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (pow.f64 (*.f64 y (log.f64 y)) 2)) (*.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) 3)) (-.f64 x (*.f64 y (log.f64 y)))) (+.f64 (*.f64 x (pow.f64 x 3)) (*.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.f64 x x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 y (log.f64 y)) 6)) (-.f64 x (*.f64 y (log.f64 y)))) (fma.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (fma.f64 x x (pow.f64 (*.f64 y (log.f64 y)) 2)) (pow.f64 x 4)))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 (*.f64 y (log.f64 y)) 3))) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x))))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (log.f64 y)) 3)))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 y (log.f64 y)) 6)) (*.f64 (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (fma.f64 y (log.f64 y) (neg.f64 x)))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (log.f64 y)) 3))))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x))))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (-.f64 (*.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 (*.f64 y (log.f64 y)) 3)) (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (log.f64 y)) 3)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) 3)) (*.f64 (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (fma.f64 y (log.f64 y) (neg.f64 x)))) (-.f64 (+.f64 (pow.f64 x 6) (pow.f64 (*.f64 y (log.f64 y)) 6)) (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (log.f64 y)) 3)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) 3)) (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (fma.f64 y (log.f64 y) (neg.f64 x))))) (fma.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 x 3)) (pow.f64 x 6)))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2)) 1) (-.f64 x (*.f64 y (log.f64 y))))
(fma.f64 y (log.f64 y) x)
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2)) (sqrt.f64 (-.f64 x (*.f64 y (log.f64 y))))) (sqrt.f64 (-.f64 x (*.f64 y (log.f64 y)))))
(fma.f64 y (log.f64 y) x)
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2)) (*.f64 (cbrt.f64 (-.f64 x (*.f64 y (log.f64 y)))) (cbrt.f64 (-.f64 x (*.f64 y (log.f64 y)))))) (cbrt.f64 (-.f64 x (*.f64 y (log.f64 y)))))
(fma.f64 y (log.f64 y) x)
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2)) (+.f64 (sqrt.f64 (*.f64 y (log.f64 y))) (sqrt.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y (log.f64 y)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2)) (*.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y (log.f64 y)))) (+.f64 (sqrt.f64 (*.f64 y (log.f64 y))) (sqrt.f64 x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2)) (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y (log.f64 y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y (log.f64 y))))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (log.f64 y)) 3)) 1) (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (log.f64 y)) 3)) (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (fma.f64 y (log.f64 y) (neg.f64 x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (log.f64 y)) 3)) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x))))) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (log.f64 y)) 3)) (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (fma.f64 y (log.f64 y) (neg.f64 x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (log.f64 y)) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x)))) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x)))))) (cbrt.f64 (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (-.f64 (*.f64 y (log.f64 y)) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (log.f64 y)) 3)) (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (fma.f64 y (log.f64 y) (neg.f64 x)))))
(pow.f64 (fma.f64 y (log.f64 y) x) 1)
(fma.f64 y (log.f64 y) x)
(pow.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) 2)
(fma.f64 y (log.f64 y) x)
(pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) 3)
(fma.f64 y (log.f64 y) x)
(pow.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 3) 1/3)
(fma.f64 y (log.f64 y) x)
(sqrt.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 2))
(fabs.f64 (fma.f64 y (log.f64 y) x))
(log.f64 (*.f64 (pow.f64 y y) (exp.f64 x)))
(fma.f64 y (log.f64 y) x)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (log.f64 y) x))))
(fma.f64 y (log.f64 y) x)
(cbrt.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 3))
(fma.f64 y (log.f64 y) x)
(expm1.f64 (log1p.f64 (fma.f64 y (log.f64 y) x)))
(fma.f64 y (log.f64 y) x)
(exp.f64 (log.f64 (fma.f64 y (log.f64 y) x)))
(fma.f64 y (log.f64 y) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 y (log.f64 y) x)) 1))
(fma.f64 y (log.f64 y) x)
(log1p.f64 (expm1.f64 (fma.f64 y (log.f64 y) x)))
(fma.f64 y (log.f64 y) x)
(fma.f64 y (log.f64 y) x)
(fma.f64 (log.f64 y) y x)
(fma.f64 y (log.f64 y) x)
(fma.f64 1 (*.f64 y (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
(fma.f64 1 x (*.f64 y (log.f64 y)))
(fma.f64 y (log.f64 y) x)
(fma.f64 (sqrt.f64 (*.f64 y (log.f64 y))) (sqrt.f64 (*.f64 y (log.f64 y))) x)
(fma.f64 y (log.f64 y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (log.f64 y)))
(fma.f64 y (log.f64 y) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (log.f64 y))) 2) (cbrt.f64 (*.f64 y (log.f64 y))) x)
(fma.f64 y (log.f64 y) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y (log.f64 y)))
(fma.f64 y (log.f64 y) x)

localize9.0ms (0.2%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
✓99.2%
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
Compiler

Compiled 24 to 7 computations (70.8% saved)

series18.0ms (0.5%)

Counts
1 → 20
Calls

9 calls:

TimeVariablePointExpression
9.0ms
x
@inf
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
6.0ms
z
@inf
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
0.0ms
x
@0
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
0.0ms
z
@0
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
0.0ms
x
@-inf
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))

rewrite63.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
974×*-commutative
910×unswap-sqr
582×swap-sqr
572×associate-*r/
434×sqr-pow
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01023
121023
2274423
Stop Event
1×node limit
Counts
1 → 26
Calls
Call 1
Inputs
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
Outputs
(((-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))))) 1) (2)) ((/.f64 (pow.f64 y y) (/.f64 (exp.f64 z) (exp.f64 x))) (2)) ((/.f64 (exp.f64 x) (/.f64 (exp.f64 z) (pow.f64 y y))) (2)) ((/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (exp.f64 z)) (2)) ((/.f64 (*.f64 (pow.f64 y y) (neg.f64 (exp.f64 x))) (neg.f64 (exp.f64 z))) (2)) ((/.f64 (*.f64 1 (*.f64 (pow.f64 y y) (exp.f64 x))) (exp.f64 z)) (2)) ((/.f64 (*.f64 (*.f64 (pow.f64 y y) (sqrt.f64 (exp.f64 (-.f64 x z)))) (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 z))) (2)) ((/.f64 (*.f64 (*.f64 (pow.f64 y y) (cbrt.f64 (exp.f64 (*.f64 (-.f64 x z) 2)))) (cbrt.f64 (exp.f64 x))) (cbrt.f64 (exp.f64 z))) (2)) ((/.f64 (*.f64 (neg.f64 (exp.f64 x)) (pow.f64 y y)) (neg.f64 (exp.f64 z))) (2)) ((/.f64 (*.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 1) (exp.f64 z)) (2)) ((/.f64 (*.f64 (sqrt.f64 (exp.f64 x)) (*.f64 (pow.f64 y y) (sqrt.f64 (exp.f64 (-.f64 x z))))) (sqrt.f64 (exp.f64 z))) (2)) ((/.f64 (/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 1) (exp.f64 z)) (2)) ((/.f64 (/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (sqrt.f64 (exp.f64 z))) (sqrt.f64 (exp.f64 z))) (2)) ((/.f64 (/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (*.f64 (cbrt.f64 (exp.f64 z)) (cbrt.f64 (exp.f64 z)))) (cbrt.f64 (exp.f64 z))) (2)) ((pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) 1) (2)) ((pow.f64 (sqrt.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))) 2) (2)) ((pow.f64 (cbrt.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))) 3) (2)) ((pow.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) 3) 1/3) (2)) ((sqrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) 2)) (2)) ((log.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 (-.f64 x z)))) (2)) ((log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))))) (2)) ((cbrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) 3)) (2)) ((cbrt.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 x z)) 3) (pow.f64 (pow.f64 y y) 3))) (2)) ((expm1.f64 (log1p.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))))) (2)) ((exp.f64 (+.f64 (-.f64 x z) (*.f64 y (log.f64 y)))) (2)) ((log1p.f64 (expm1.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))))) (2)))

simplify76.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
1146×distribute-lft-in
934×fma-def
810×*-commutative
742×associate-*r/
706×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01441858
14001634
215901514
362751514
Stop Event
1×node limit
Counts
46 → 80
Calls
Call 1
Inputs
(exp.f64 (-.f64 x z))
(+.f64 (*.f64 y (*.f64 (exp.f64 (-.f64 x z)) (log.f64 y))) (exp.f64 (-.f64 x z)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 (log.f64 y) 2)))) (+.f64 (*.f64 y (*.f64 (exp.f64 (-.f64 x z)) (log.f64 y))) (exp.f64 (-.f64 x z))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 (log.f64 y) 2)))) (+.f64 (*.f64 y (*.f64 (exp.f64 (-.f64 x z)) (log.f64 y))) (+.f64 (exp.f64 (-.f64 x z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 (log.f64 y) 3)))))))
(*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y))
(+.f64 (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)) (*.f64 (exp.f64 (neg.f64 z)) (*.f64 (pow.f64 y y) x)))
(+.f64 (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 z)) (*.f64 (pow.f64 y y) (pow.f64 x 2)))) (+.f64 (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)) (*.f64 (exp.f64 (neg.f64 z)) (*.f64 (pow.f64 y y) x))))
(+.f64 (*.f64 1/6 (*.f64 (exp.f64 (neg.f64 z)) (*.f64 (pow.f64 y y) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 z)) (*.f64 (pow.f64 y y) (pow.f64 x 2)))) (+.f64 (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)) (*.f64 (exp.f64 (neg.f64 z)) (*.f64 (pow.f64 y y) x)))))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 x) z))))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 x) z))))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 x) z))))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 x) z))))
(*.f64 (pow.f64 y y) (exp.f64 x))
(+.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (*.f64 -1 (*.f64 (pow.f64 y y) (*.f64 (exp.f64 x) z))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 y y) (*.f64 (exp.f64 x) (pow.f64 z 2)))) (+.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (*.f64 -1 (*.f64 (pow.f64 y y) (*.f64 (exp.f64 x) z)))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y y) (*.f64 (exp.f64 x) (pow.f64 z 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y y) (*.f64 (exp.f64 x) (pow.f64 z 2)))) (+.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (*.f64 -1 (*.f64 (pow.f64 y y) (*.f64 (exp.f64 x) z))))))
(*.f64 (exp.f64 (+.f64 (*.f64 -1 z) x)) (pow.f64 y y))
(*.f64 (exp.f64 (+.f64 (*.f64 -1 z) x)) (pow.f64 y y))
(*.f64 (exp.f64 (+.f64 (*.f64 -1 z) x)) (pow.f64 y y))
(*.f64 (exp.f64 (+.f64 (*.f64 -1 z) x)) (pow.f64 y y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))))) 1)
(/.f64 (pow.f64 y y) (/.f64 (exp.f64 z) (exp.f64 x)))
(/.f64 (exp.f64 x) (/.f64 (exp.f64 z) (pow.f64 y y)))
(/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (exp.f64 z))
(/.f64 (*.f64 (pow.f64 y y) (neg.f64 (exp.f64 x))) (neg.f64 (exp.f64 z)))
(/.f64 (*.f64 1 (*.f64 (pow.f64 y y) (exp.f64 x))) (exp.f64 z))
(/.f64 (*.f64 (*.f64 (pow.f64 y y) (sqrt.f64 (exp.f64 (-.f64 x z)))) (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 z)))
(/.f64 (*.f64 (*.f64 (pow.f64 y y) (cbrt.f64 (exp.f64 (*.f64 (-.f64 x z) 2)))) (cbrt.f64 (exp.f64 x))) (cbrt.f64 (exp.f64 z)))
(/.f64 (*.f64 (neg.f64 (exp.f64 x)) (pow.f64 y y)) (neg.f64 (exp.f64 z)))
(/.f64 (*.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 1) (exp.f64 z))
(/.f64 (*.f64 (sqrt.f64 (exp.f64 x)) (*.f64 (pow.f64 y y) (sqrt.f64 (exp.f64 (-.f64 x z))))) (sqrt.f64 (exp.f64 z)))
(/.f64 (/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 1) (exp.f64 z))
(/.f64 (/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (sqrt.f64 (exp.f64 z))) (sqrt.f64 (exp.f64 z)))
(/.f64 (/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (*.f64 (cbrt.f64 (exp.f64 z)) (cbrt.f64 (exp.f64 z)))) (cbrt.f64 (exp.f64 z)))
(pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) 1)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) 2))
(log.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 (-.f64 x z))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) 3))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 x z)) 3) (pow.f64 (pow.f64 y y) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))))
(exp.f64 (+.f64 (-.f64 x z) (*.f64 y (log.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))))
Outputs
(exp.f64 (-.f64 x z))
(+.f64 (*.f64 y (*.f64 (exp.f64 (-.f64 x z)) (log.f64 y))) (exp.f64 (-.f64 x z)))
(fma.f64 y (*.f64 (exp.f64 (-.f64 x z)) (log.f64 y)) (exp.f64 (-.f64 x z)))
(*.f64 (+.f64 (*.f64 y (log.f64 y)) 1) (exp.f64 (-.f64 x z)))
(*.f64 (+.f64 1 (*.f64 y (log.f64 y))) (exp.f64 (-.f64 x z)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 (log.f64 y) 2)))) (+.f64 (*.f64 y (*.f64 (exp.f64 (-.f64 x z)) (log.f64 y))) (exp.f64 (-.f64 x z))))
(fma.f64 1/2 (*.f64 (*.f64 (*.f64 y y) (exp.f64 (-.f64 x z))) (pow.f64 (log.f64 y) 2)) (fma.f64 y (*.f64 (exp.f64 (-.f64 x z)) (log.f64 y)) (exp.f64 (-.f64 x z))))
(fma.f64 1/2 (*.f64 (exp.f64 (-.f64 x z)) (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 y y))) (fma.f64 y (*.f64 (exp.f64 (-.f64 x z)) (log.f64 y)) (exp.f64 (-.f64 x z))))
(+.f64 (exp.f64 (-.f64 x z)) (*.f64 (exp.f64 (-.f64 x z)) (+.f64 (*.f64 y (log.f64 y)) (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 y (*.f64 y 1/2))))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 (log.f64 y) 2)))) (+.f64 (*.f64 y (*.f64 (exp.f64 (-.f64 x z)) (log.f64 y))) (+.f64 (exp.f64 (-.f64 x z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 (log.f64 y) 3)))))))
(fma.f64 1/2 (*.f64 (*.f64 (*.f64 y y) (exp.f64 (-.f64 x z))) (pow.f64 (log.f64 y) 2)) (+.f64 (fma.f64 y (*.f64 (exp.f64 (-.f64 x z)) (log.f64 y)) (exp.f64 (-.f64 x z))) (*.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 (exp.f64 (-.f64 x z)) (pow.f64 (log.f64 y) 3)))))
(fma.f64 1/2 (*.f64 (exp.f64 (-.f64 x z)) (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 y y))) (fma.f64 y (*.f64 (exp.f64 (-.f64 x z)) (log.f64 y)) (fma.f64 1/6 (*.f64 (exp.f64 (-.f64 x z)) (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 y 3))) (exp.f64 (-.f64 x z)))))
(+.f64 (*.f64 (+.f64 (*.f64 y (log.f64 y)) 1) (exp.f64 (-.f64 x z))) (*.f64 (exp.f64 (-.f64 x z)) (+.f64 (*.f64 (pow.f64 (log.f64 y) 3) (*.f64 1/6 (pow.f64 y 3))) (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 y (*.f64 y 1/2))))))
(+.f64 (*.f64 (+.f64 1 (*.f64 y (log.f64 y))) (exp.f64 (-.f64 x z))) (*.f64 (exp.f64 (-.f64 x z)) (+.f64 (*.f64 (pow.f64 (log.f64 y) 3) (*.f64 1/6 (pow.f64 y 3))) (*.f64 (pow.f64 (log.f64 y) 2) (*.f64 y (*.f64 y 1/2))))))
(*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y))
(/.f64 (pow.f64 y y) (exp.f64 z))
(+.f64 (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)) (*.f64 (exp.f64 (neg.f64 z)) (*.f64 (pow.f64 y y) x)))
(*.f64 (exp.f64 (neg.f64 z)) (+.f64 (pow.f64 y y) (*.f64 x (pow.f64 y y))))
(*.f64 (exp.f64 (neg.f64 z)) (*.f64 (+.f64 x 1) (pow.f64 y y)))
(/.f64 (*.f64 (pow.f64 y y) (+.f64 x 1)) (exp.f64 z))
(+.f64 (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 z)) (*.f64 (pow.f64 y y) (pow.f64 x 2)))) (+.f64 (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)) (*.f64 (exp.f64 (neg.f64 z)) (*.f64 (pow.f64 y y) x))))
(fma.f64 1/2 (*.f64 (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)) (*.f64 x x)) (*.f64 (exp.f64 (neg.f64 z)) (+.f64 (pow.f64 y y) (*.f64 x (pow.f64 y y)))))
(fma.f64 1/2 (*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (*.f64 x x)) (*.f64 (exp.f64 (neg.f64 z)) (*.f64 (+.f64 x 1) (pow.f64 y y))))
(*.f64 (exp.f64 (neg.f64 z)) (+.f64 (*.f64 (pow.f64 y y) (+.f64 x 1)) (*.f64 1/2 (*.f64 x (*.f64 x (pow.f64 y y))))))
(+.f64 (*.f64 1/6 (*.f64 (exp.f64 (neg.f64 z)) (*.f64 (pow.f64 y y) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (*.f64 (exp.f64 (neg.f64 z)) (*.f64 (pow.f64 y y) (pow.f64 x 2)))) (+.f64 (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)) (*.f64 (exp.f64 (neg.f64 z)) (*.f64 (pow.f64 y y) x)))))
(fma.f64 1/6 (*.f64 (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)) (pow.f64 x 3)) (fma.f64 1/2 (*.f64 (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y)) (*.f64 x x)) (*.f64 (exp.f64 (neg.f64 z)) (+.f64 (pow.f64 y y) (*.f64 x (pow.f64 y y))))))
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (pow.f64 x 3)) (fma.f64 1/2 (*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (*.f64 x x)) (*.f64 (exp.f64 (neg.f64 z)) (*.f64 (+.f64 x 1) (pow.f64 y y)))))
(+.f64 (/.f64 (*.f64 (pow.f64 y y) (+.f64 x 1)) (exp.f64 z)) (*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (+.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 1/6 (pow.f64 x 3)))))
(+.f64 (/.f64 (*.f64 (pow.f64 y y) (+.f64 x 1)) (exp.f64 z)) (*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (*.f64 x x)))))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 x) z))))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 x) z))))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 x) z))))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 x) z))))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(*.f64 (pow.f64 y y) (exp.f64 x))
(+.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (*.f64 -1 (*.f64 (pow.f64 y y) (*.f64 (exp.f64 x) z))))
(fma.f64 (pow.f64 y y) (exp.f64 x) (neg.f64 (*.f64 (pow.f64 y y) (*.f64 z (exp.f64 x)))))
(-.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (*.f64 z (*.f64 (pow.f64 y y) (exp.f64 x))))
(*.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (-.f64 1 z))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 y y) (*.f64 (exp.f64 x) (pow.f64 z 2)))) (+.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (*.f64 -1 (*.f64 (pow.f64 y y) (*.f64 (exp.f64 x) z)))))
(fma.f64 1/2 (*.f64 (pow.f64 y y) (*.f64 (exp.f64 x) (*.f64 z z))) (fma.f64 (pow.f64 y y) (exp.f64 x) (neg.f64 (*.f64 (pow.f64 y y) (*.f64 z (exp.f64 x))))))
(-.f64 (fma.f64 1/2 (*.f64 (exp.f64 x) (*.f64 (*.f64 z z) (pow.f64 y y))) (*.f64 (pow.f64 y y) (exp.f64 x))) (*.f64 z (*.f64 (pow.f64 y y) (exp.f64 x))))
(fma.f64 (pow.f64 y y) (exp.f64 x) (*.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (+.f64 (*.f64 1/2 (*.f64 z z)) (neg.f64 z))))
(fma.f64 (pow.f64 y y) (exp.f64 x) (*.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (+.f64 (neg.f64 z) (*.f64 1/2 (*.f64 z z)))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y y) (*.f64 (exp.f64 x) (pow.f64 z 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y y) (*.f64 (exp.f64 x) (pow.f64 z 2)))) (+.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (*.f64 -1 (*.f64 (pow.f64 y y) (*.f64 (exp.f64 x) z))))))
(fma.f64 -1/6 (*.f64 (pow.f64 y y) (*.f64 (exp.f64 x) (pow.f64 z 3))) (fma.f64 1/2 (*.f64 (pow.f64 y y) (*.f64 (exp.f64 x) (*.f64 z z))) (fma.f64 (pow.f64 y y) (exp.f64 x) (neg.f64 (*.f64 (pow.f64 y y) (*.f64 z (exp.f64 x)))))))
(fma.f64 -1/6 (*.f64 (exp.f64 x) (*.f64 (pow.f64 z 3) (pow.f64 y y))) (-.f64 (fma.f64 1/2 (*.f64 (exp.f64 x) (*.f64 (*.f64 z z) (pow.f64 y y))) (*.f64 (pow.f64 y y) (exp.f64 x))) (*.f64 z (*.f64 (pow.f64 y y) (exp.f64 x)))))
(+.f64 (*.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (-.f64 1 z)) (*.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (+.f64 (*.f64 1/2 (*.f64 z z)) (*.f64 -1/6 (pow.f64 z 3)))))
(+.f64 (*.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (-.f64 1 z)) (*.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (+.f64 (*.f64 -1/6 (pow.f64 z 3)) (*.f64 1/2 (*.f64 z z)))))
(*.f64 (exp.f64 (+.f64 (*.f64 -1 z) x)) (pow.f64 y y))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(*.f64 (exp.f64 (+.f64 (*.f64 -1 z) x)) (pow.f64 y y))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(*.f64 (exp.f64 (+.f64 (*.f64 -1 z) x)) (pow.f64 y y))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(*.f64 (exp.f64 (+.f64 (*.f64 -1 z) x)) (pow.f64 y y))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))))) 1)
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(/.f64 (pow.f64 y y) (/.f64 (exp.f64 z) (exp.f64 x)))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(/.f64 (exp.f64 x) (/.f64 (exp.f64 z) (pow.f64 y y)))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (exp.f64 z))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(/.f64 (*.f64 (pow.f64 y y) (neg.f64 (exp.f64 x))) (neg.f64 (exp.f64 z)))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(/.f64 (*.f64 1 (*.f64 (pow.f64 y y) (exp.f64 x))) (exp.f64 z))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(/.f64 (*.f64 (*.f64 (pow.f64 y y) (sqrt.f64 (exp.f64 (-.f64 x z)))) (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 z)))
(/.f64 (*.f64 (pow.f64 y y) (sqrt.f64 (exp.f64 (-.f64 x z)))) (/.f64 (sqrt.f64 (exp.f64 z)) (sqrt.f64 (exp.f64 x))))
(/.f64 (pow.f64 y y) (/.f64 (/.f64 (sqrt.f64 (exp.f64 z)) (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 (-.f64 x z)))))
(*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 (pow.f64 y y) (/.f64 (sqrt.f64 (exp.f64 z)) (sqrt.f64 (exp.f64 (-.f64 x z))))))
(/.f64 (*.f64 (*.f64 (pow.f64 y y) (cbrt.f64 (exp.f64 (*.f64 (-.f64 x z) 2)))) (cbrt.f64 (exp.f64 x))) (cbrt.f64 (exp.f64 z)))
(/.f64 (*.f64 (pow.f64 y y) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 x z)) 2))) (/.f64 (cbrt.f64 (exp.f64 z)) (cbrt.f64 (exp.f64 x))))
(*.f64 (/.f64 (*.f64 (pow.f64 y y) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 x z)) 2))) (cbrt.f64 (exp.f64 z))) (cbrt.f64 (exp.f64 x)))
(*.f64 (/.f64 (pow.f64 y y) (cbrt.f64 (exp.f64 z))) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (-.f64 x z))) (cbrt.f64 (exp.f64 x))))
(/.f64 (*.f64 (neg.f64 (exp.f64 x)) (pow.f64 y y)) (neg.f64 (exp.f64 z)))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(/.f64 (*.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 1) (exp.f64 z))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(/.f64 (*.f64 (sqrt.f64 (exp.f64 x)) (*.f64 (pow.f64 y y) (sqrt.f64 (exp.f64 (-.f64 x z))))) (sqrt.f64 (exp.f64 z)))
(/.f64 (*.f64 (pow.f64 y y) (sqrt.f64 (exp.f64 (-.f64 x z)))) (/.f64 (sqrt.f64 (exp.f64 z)) (sqrt.f64 (exp.f64 x))))
(/.f64 (pow.f64 y y) (/.f64 (/.f64 (sqrt.f64 (exp.f64 z)) (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 (-.f64 x z)))))
(*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 (pow.f64 y y) (/.f64 (sqrt.f64 (exp.f64 z)) (sqrt.f64 (exp.f64 (-.f64 x z))))))
(/.f64 (/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 1) (exp.f64 z))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(/.f64 (/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (sqrt.f64 (exp.f64 z))) (sqrt.f64 (exp.f64 z)))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(/.f64 (/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (*.f64 (cbrt.f64 (exp.f64 z)) (cbrt.f64 (exp.f64 z)))) (cbrt.f64 (exp.f64 z)))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) 1)
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))) 2)
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))) 3)
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(pow.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) 3) 1/3)
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) 2))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 (-.f64 x z))))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))))))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) 3))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 x z)) 3) (pow.f64 (pow.f64 y y) 3)))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(exp.f64 (+.f64 (-.f64 x z) (*.f64 y (log.f64 y))))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 (fma.f64 -1 x z))))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))

eval72.0ms (1.8%)

Compiler

Compiled 7174 to 2258 computations (68.5% saved)

prune82.0ms (2.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New3192321
Fresh000
Picked101
Done101
Total3212323
Accurracy
100.0%
Counts
323 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶64.6%
(*.f64 (pow.f64 y y) (exp.f64 x))
▶98.0%
(exp.f64 (-.f64 x z))
Compiler

Compiled 16 to 11 computations (31.3% saved)

localize5.0ms (0.1%)

Compiler

Compiled 12 to 5 computations (58.3% saved)

localize7.0ms (0.2%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
✓99.6%
(*.f64 (pow.f64 y y) (exp.f64 x))
Compiler

Compiled 16 to 6 computations (62.5% saved)

series3.0ms (0.1%)

Counts
1 → 8
Calls

6 calls:

TimeVariablePointExpression
2.0ms
y
@0
(*.f64 (pow.f64 y y) (exp.f64 x))
0.0ms
y
@inf
(*.f64 (pow.f64 y y) (exp.f64 x))
0.0ms
x
@-inf
(*.f64 (pow.f64 y y) (exp.f64 x))
0.0ms
x
@inf
(*.f64 (pow.f64 y y) (exp.f64 x))
0.0ms
y
@-inf
(*.f64 (pow.f64 y y) (exp.f64 x))

rewrite52.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
1490×add-sqr-sqrt
1476×*-un-lft-identity
1364×add-cube-cbrt
1344×add-cbrt-cube
1328×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
115817
2190017
Stop Event
1×node limit
Counts
1 → 12
Calls
Call 1
Inputs
(*.f64 (pow.f64 y y) (exp.f64 x))
Outputs
(((-.f64 (+.f64 1 (*.f64 (pow.f64 y y) (exp.f64 x))) 1) (2)) ((pow.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 1) (2)) ((pow.f64 (sqrt.f64 (*.f64 (pow.f64 y y) (exp.f64 x))) 2) (2)) ((pow.f64 (cbrt.f64 (*.f64 (pow.f64 y y) (exp.f64 x))) 3) (2)) ((pow.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 3) 1/3) (2)) ((sqrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 2)) (2)) ((log.f64 (pow.f64 (exp.f64 (exp.f64 x)) (pow.f64 y y))) (2)) ((cbrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 3)) (2)) ((expm1.f64 (log1p.f64 (*.f64 (pow.f64 y y) (exp.f64 x)))) (2)) ((exp.f64 (+.f64 x (*.f64 y (log.f64 y)))) (2)) ((exp.f64 (*.f64 (+.f64 x (*.f64 y (log.f64 y))) 1)) (2)) ((log1p.f64 (expm1.f64 (*.f64 (pow.f64 y y) (exp.f64 x)))) (2)))

simplify71.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
1126×associate-*r*
996×associate-*l*
840×count-2
760×distribute-lft-in
756×distribute-rgt-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
065714
1187632
2667532
33075506
46266506
Stop Event
1×node limit
Counts
20 → 45
Calls
Call 1
Inputs
(exp.f64 x)
(+.f64 (*.f64 y (*.f64 (exp.f64 x) (log.f64 y))) (exp.f64 x))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (*.f64 (exp.f64 x) (pow.f64 (log.f64 y) 2)))) (+.f64 (*.f64 y (*.f64 (exp.f64 x) (log.f64 y))) (exp.f64 x)))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (*.f64 (exp.f64 x) (pow.f64 (log.f64 y) 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (*.f64 (exp.f64 x) (pow.f64 (log.f64 y) 2)))) (+.f64 (*.f64 y (*.f64 (exp.f64 x) (log.f64 y))) (exp.f64 x))))
(pow.f64 y y)
(+.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) x))
(+.f64 (pow.f64 y y) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y y) (pow.f64 x 2))) (*.f64 (pow.f64 y y) x)))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y y) (pow.f64 x 3))) (+.f64 (pow.f64 y y) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y y) (pow.f64 x 2))) (*.f64 (pow.f64 y y) x))))
(-.f64 (+.f64 1 (*.f64 (pow.f64 y y) (exp.f64 x))) 1)
(pow.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 1)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 y y) (exp.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 y y) (exp.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 (exp.f64 x)) (pow.f64 y y)))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 y y) (exp.f64 x))))
(exp.f64 (+.f64 x (*.f64 y (log.f64 y))))
(exp.f64 (*.f64 (+.f64 x (*.f64 y (log.f64 y))) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 y y) (exp.f64 x))))
Outputs
(exp.f64 x)
(+.f64 (*.f64 y (*.f64 (exp.f64 x) (log.f64 y))) (exp.f64 x))
(fma.f64 y (*.f64 (exp.f64 x) (log.f64 y)) (exp.f64 x))
(fma.f64 (exp.f64 x) (*.f64 y (log.f64 y)) (exp.f64 x))
(*.f64 (+.f64 1 (*.f64 y (log.f64 y))) (exp.f64 x))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (*.f64 (exp.f64 x) (pow.f64 (log.f64 y) 2)))) (+.f64 (*.f64 y (*.f64 (exp.f64 x) (log.f64 y))) (exp.f64 x)))
(fma.f64 1/2 (*.f64 (*.f64 y y) (*.f64 (exp.f64 x) (pow.f64 (log.f64 y) 2))) (fma.f64 y (*.f64 (exp.f64 x) (log.f64 y)) (exp.f64 x)))
(fma.f64 1/2 (*.f64 y (*.f64 y (*.f64 (exp.f64 x) (pow.f64 (log.f64 y) 2)))) (fma.f64 y (*.f64 (exp.f64 x) (log.f64 y)) (exp.f64 x)))
(+.f64 (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (*.f64 (*.f64 y y) (pow.f64 (log.f64 y) 2))))))
(+.f64 (exp.f64 x) (*.f64 (*.f64 (exp.f64 x) (log.f64 y)) (+.f64 y (*.f64 (*.f64 y (*.f64 y 1/2)) (log.f64 y)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (*.f64 (exp.f64 x) (pow.f64 (log.f64 y) 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (*.f64 (exp.f64 x) (pow.f64 (log.f64 y) 2)))) (+.f64 (*.f64 y (*.f64 (exp.f64 x) (log.f64 y))) (exp.f64 x))))
(fma.f64 1/6 (*.f64 (pow.f64 y 3) (*.f64 (exp.f64 x) (pow.f64 (log.f64 y) 3))) (fma.f64 1/2 (*.f64 (*.f64 y y) (*.f64 (exp.f64 x) (pow.f64 (log.f64 y) 2))) (fma.f64 y (*.f64 (exp.f64 x) (log.f64 y)) (exp.f64 x))))
(fma.f64 1/6 (*.f64 (pow.f64 y 3) (*.f64 (exp.f64 x) (pow.f64 (log.f64 y) 3))) (fma.f64 1/2 (*.f64 y (*.f64 y (*.f64 (exp.f64 x) (pow.f64 (log.f64 y) 2)))) (fma.f64 y (*.f64 (exp.f64 x) (log.f64 y)) (exp.f64 x))))
(+.f64 (fma.f64 (exp.f64 x) (*.f64 y (log.f64 y)) (exp.f64 x)) (*.f64 (exp.f64 x) (+.f64 (*.f64 1/2 (*.f64 (*.f64 y y) (pow.f64 (log.f64 y) 2))) (*.f64 1/6 (*.f64 (pow.f64 y 3) (pow.f64 (log.f64 y) 3))))))
(+.f64 (exp.f64 x) (*.f64 (exp.f64 x) (+.f64 (*.f64 (pow.f64 (log.f64 y) 3) (*.f64 1/6 (pow.f64 y 3))) (*.f64 (log.f64 y) (+.f64 y (*.f64 (*.f64 y (*.f64 y 1/2)) (log.f64 y)))))))
(pow.f64 y y)
(+.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) x))
(+.f64 (pow.f64 y y) (*.f64 x (pow.f64 y y)))
(*.f64 (+.f64 x 1) (pow.f64 y y))
(*.f64 (pow.f64 y y) (+.f64 x 1))
(+.f64 (pow.f64 y y) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y y) (pow.f64 x 2))) (*.f64 (pow.f64 y y) x)))
(+.f64 (pow.f64 y y) (fma.f64 1/2 (*.f64 (pow.f64 y y) (*.f64 x x)) (*.f64 x (pow.f64 y y))))
(+.f64 (*.f64 (+.f64 x 1) (pow.f64 y y)) (*.f64 1/2 (*.f64 x (*.f64 x (pow.f64 y y)))))
(*.f64 (pow.f64 y y) (+.f64 (+.f64 x 1) (*.f64 x (*.f64 x 1/2))))
(*.f64 (pow.f64 y y) (+.f64 x (+.f64 1 (*.f64 x (*.f64 x 1/2)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 y y) (pow.f64 x 3))) (+.f64 (pow.f64 y y) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y y) (pow.f64 x 2))) (*.f64 (pow.f64 y y) x))))
(fma.f64 1/6 (*.f64 (pow.f64 y y) (pow.f64 x 3)) (+.f64 (pow.f64 y y) (fma.f64 1/2 (*.f64 (pow.f64 y y) (*.f64 x x)) (*.f64 x (pow.f64 y y)))))
(fma.f64 1/6 (*.f64 (pow.f64 y y) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 x 1) (pow.f64 y y)) (*.f64 1/2 (*.f64 x (*.f64 x (pow.f64 y y))))))
(fma.f64 (pow.f64 y y) (*.f64 1/6 (pow.f64 x 3)) (*.f64 (pow.f64 y y) (+.f64 (+.f64 x 1) (*.f64 x (*.f64 x 1/2)))))
(*.f64 (pow.f64 y y) (+.f64 (+.f64 x (+.f64 1 (*.f64 x (*.f64 x 1/2)))) (*.f64 1/6 (pow.f64 x 3))))
(-.f64 (+.f64 1 (*.f64 (pow.f64 y y) (exp.f64 x))) 1)
(+.f64 (+.f64 1 (*.f64 (exp.f64 x) (pow.f64 y y))) -1)
(+.f64 (*.f64 (exp.f64 x) (pow.f64 y y)) 0)
(*.f64 (exp.f64 x) (pow.f64 y y))
(pow.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 1)
(+.f64 (+.f64 1 (*.f64 (exp.f64 x) (pow.f64 y y))) -1)
(+.f64 (*.f64 (exp.f64 x) (pow.f64 y y)) 0)
(*.f64 (exp.f64 x) (pow.f64 y y))
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 y y) (exp.f64 x))) 2)
(+.f64 (+.f64 1 (*.f64 (exp.f64 x) (pow.f64 y y))) -1)
(+.f64 (*.f64 (exp.f64 x) (pow.f64 y y)) 0)
(*.f64 (exp.f64 x) (pow.f64 y y))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 y y) (exp.f64 x))) 3)
(+.f64 (+.f64 1 (*.f64 (exp.f64 x) (pow.f64 y y))) -1)
(+.f64 (*.f64 (exp.f64 x) (pow.f64 y y)) 0)
(*.f64 (exp.f64 x) (pow.f64 y y))
(pow.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 3) 1/3)
(+.f64 (+.f64 1 (*.f64 (exp.f64 x) (pow.f64 y y))) -1)
(+.f64 (*.f64 (exp.f64 x) (pow.f64 y y)) 0)
(*.f64 (exp.f64 x) (pow.f64 y y))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 2))
(+.f64 (+.f64 1 (*.f64 (exp.f64 x) (pow.f64 y y))) -1)
(+.f64 (*.f64 (exp.f64 x) (pow.f64 y y)) 0)
(*.f64 (exp.f64 x) (pow.f64 y y))
(log.f64 (pow.f64 (exp.f64 (exp.f64 x)) (pow.f64 y y)))
(+.f64 (+.f64 1 (*.f64 (exp.f64 x) (pow.f64 y y))) -1)
(+.f64 (*.f64 (exp.f64 x) (pow.f64 y y)) 0)
(*.f64 (exp.f64 x) (pow.f64 y y))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 3))
(+.f64 (+.f64 1 (*.f64 (exp.f64 x) (pow.f64 y y))) -1)
(+.f64 (*.f64 (exp.f64 x) (pow.f64 y y)) 0)
(*.f64 (exp.f64 x) (pow.f64 y y))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 y y) (exp.f64 x))))
(+.f64 (+.f64 1 (*.f64 (exp.f64 x) (pow.f64 y y))) -1)
(+.f64 (*.f64 (exp.f64 x) (pow.f64 y y)) 0)
(*.f64 (exp.f64 x) (pow.f64 y y))
(exp.f64 (+.f64 x (*.f64 y (log.f64 y))))
(+.f64 (+.f64 1 (*.f64 (exp.f64 x) (pow.f64 y y))) -1)
(+.f64 (*.f64 (exp.f64 x) (pow.f64 y y)) 0)
(*.f64 (exp.f64 x) (pow.f64 y y))
(exp.f64 (*.f64 (+.f64 x (*.f64 y (log.f64 y))) 1))
(+.f64 (+.f64 1 (*.f64 (exp.f64 x) (pow.f64 y y))) -1)
(+.f64 (*.f64 (exp.f64 x) (pow.f64 y y)) 0)
(*.f64 (exp.f64 x) (pow.f64 y y))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 y y) (exp.f64 x))))
(+.f64 (+.f64 1 (*.f64 (exp.f64 x) (pow.f64 y y))) -1)
(+.f64 (*.f64 (exp.f64 x) (pow.f64 y y)) 0)
(*.f64 (exp.f64 x) (pow.f64 y y))

eval10.0ms (0.3%)

Compiler

Compiled 688 to 272 computations (60.5% saved)

prune7.0ms (0.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New43245
Fresh000
Picked011
Done011
Total43447
Accurracy
100.0%
Counts
47 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶32.5%
(pow.f64 y y)
✓64.6%
(*.f64 (pow.f64 y y) (exp.f64 x))
✓98.0%
(exp.f64 (-.f64 x z))
▶78.4%
(exp.f64 x)
Compiler

Compiled 27 to 19 computations (29.6% saved)

localize3.0ms (0.1%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize3.0ms (0.1%)

Compiler

Compiled 7 to 4 computations (42.9% saved)

eval0.0ms (0%)

Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done033
Total044
Accurracy
100.0%
Counts
4 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓32.5%
(pow.f64 y y)
✓64.6%
(*.f64 (pow.f64 y y) (exp.f64 x))
✓98.0%
(exp.f64 (-.f64 x z))
✓78.4%
(exp.f64 x)
Compiler

Compiled 27 to 19 computations (29.6% saved)

regimes38.0ms (1%)

Counts
6 → 1
Calls
Call 1
Inputs
(exp.f64 x)
(pow.f64 y y)
(exp.f64 (-.f64 x z))
(*.f64 (pow.f64 y y) (exp.f64 x))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
Outputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
Calls

7 calls:

9.0ms
z
7.0ms
(*.f64 y (log.f64 y))
4.0ms
(+.f64 x (*.f64 y (log.f64 y)))
4.0ms
x
4.0ms
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1z
99.9%1(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
99.9%1(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
99.9%1(+.f64 x (*.f64 y (log.f64 y)))
99.9%1(*.f64 y (log.f64 y))
Compiler

Compiled 86 to 49 computations (43% saved)

regimes18.0ms (0.5%)

Counts
5 → 2
Calls
Call 1
Inputs
(exp.f64 x)
(pow.f64 y y)
(exp.f64 (-.f64 x z))
(*.f64 (pow.f64 y y) (exp.f64 x))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
Outputs
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
(exp.f64 (-.f64 x z))
Calls

3 calls:

8.0ms
y
4.0ms
z
4.0ms
x
Results
AccuracySegmentsBranch
98.0%1x
100.0%2y
98.0%1z
Compiler

Compiled 38 to 18 computations (52.6% saved)

bsearch17.0ms (0.4%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
17.0ms
51.27595275492657
289.3538876495263
Results
11.0ms96×body256valid
4.0ms29×body256infinite
Compiler

Compiled 138 to 97 computations (29.7% saved)

regimes27.0ms (0.7%)

Counts
4 → 3
Calls
Call 1
Inputs
(exp.f64 x)
(pow.f64 y y)
(exp.f64 (-.f64 x z))
(*.f64 (pow.f64 y y) (exp.f64 x))
Outputs
(exp.f64 (-.f64 x z))
(pow.f64 y y)
(exp.f64 (-.f64 x z))
Calls

3 calls:

18.0ms
y
5.0ms
x
4.0ms
z
Results
AccuracySegmentsBranch
98.0%1x
99.8%3y
98.0%1z
Compiler

Compiled 30 to 17 computations (43.3% saved)

bsearch28.0ms (0.7%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
12.0ms
51.27595275492657
289.3538876495263
15.0ms
5.0781284119672244e-8
1.3740476297071344e-6
Results
25.0ms208×body256valid
Compiler

Compiled 213 to 156 computations (26.8% saved)

regimes22.0ms (0.6%)

Accuracy

Total -31.9b remaining (-254.2%)

Threshold costs -31.9b (-254.2%)

Counts
2 → 3
Calls
Call 1
Inputs
(exp.f64 x)
(pow.f64 y y)
Outputs
(exp.f64 x)
(pow.f64 y y)
(exp.f64 x)
Calls

3 calls:

9.0ms
x
8.0ms
y
4.0ms
z
Results
AccuracySegmentsBranch
80.2%3x
80.4%3y
78.4%1z
Compiler

Compiled 20 to 14 computations (30% saved)

bsearch46.0ms (1.2%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
27.0ms
51.27595275492657
289.3538876495263
19.0ms
6.538526053190844e-14
1.4451424227903292e-11
Results
42.0ms208×body256valid
Compiler

Compiled 187 to 143 computations (23.5% saved)

simplify9.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
8×+-commutative
6×sub-neg
6×*-commutative
4×if-if-or-not
2×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034153
148153
254153
356153
457153
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(if (<=.f64 y 145) (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) (exp.f64 (-.f64 x z)))
(if (<=.f64 y 6375194751874021/4722366482869645213696) (exp.f64 (-.f64 x z)) (if (<=.f64 y 52) (pow.f64 y y) (exp.f64 (-.f64 x z))))
(if (<=.f64 y 1098671784865775/77371252455336267181195264) (exp.f64 x) (if (<=.f64 y 53) (pow.f64 y y) (exp.f64 x)))
(exp.f64 x)
Outputs
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
(if (<=.f64 y 145) (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) (exp.f64 (-.f64 x z)))
(if (<=.f64 y 6375194751874021/4722366482869645213696) (exp.f64 (-.f64 x z)) (if (<=.f64 y 52) (pow.f64 y y) (exp.f64 (-.f64 x z))))
(if (or (<=.f64 y 6375194751874021/4722366482869645213696) (not (<=.f64 y 52))) (exp.f64 (-.f64 x z)) (pow.f64 y y))
(if (<=.f64 y 1098671784865775/77371252455336267181195264) (exp.f64 x) (if (<=.f64 y 53) (pow.f64 y y) (exp.f64 x)))
(exp.f64 x)
Compiler

Compiled 73 to 46 computations (37% saved)

soundness147.0ms (3.8%)

Algorithm
1×egg-herbie
Rules
1060×associate-*r/
920×associate-/l/
850×associate-/r/
716×unswap-sqr
614×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01127
12023
24523
38823
416623
532723
6105923
7251323
8559623
9672523
Stop Event
1×node limit
Compiler

Compiled 58 to 22 computations (62.1% saved)

end32.0ms (0.8%)

Compiler

Compiled 61 to 29 computations (52.5% saved)

Profiling

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