Details

Time bar (total: 4.2s)

analyze135.0ms (3.2%)

Algorithm
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)

sample2.1s (51.2%)

Results
1.4s8256×body256valid
396.0ms3035×body256infinite
296.0ms2356×body256invalid
Bogosity

preprocess64.0ms (1.5%)

Algorithm
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
saturated
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)

simplify74.0ms (1.8%)

Algorithm
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
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)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New224
Fresh011
Picked000
Done000
Total235
Error
0b
Counts
5 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
13.8b
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
0.0b
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
Compiler

Compiled 23 to 15 computations (34.8% saved)

localize11.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 x (*.f64 y (log.f64 y)))
0.0b
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
0.3b
(*.f64 y (log.f64 y))
Compiler

Compiled 35 to 8 computations (77.1% saved)

series57.0ms (1.4%)

Counts
3 → 68
Calls

18 calls:

TimeVariablePointExpression
26.0ms
y
@0
(*.f64 y (log.f64 y))
14.0ms
y
@-inf
(*.f64 y (log.f64 y))
8.0ms
y
@inf
(*.f64 y (log.f64 y))
4.0ms
x
@0
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
2.0ms
x
@0
(+.f64 x (*.f64 y (log.f64 y)))

rewrite86.0ms (2%)

Algorithm
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
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
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y 0) (*.f64 y (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (log.f64 (sqrt.f64 y))) (*.f64 y (log.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (log.f64 (cbrt.f64 (*.f64 y y)))) (*.f64 y (log.f64 (cbrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (log.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (log.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (log.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (log.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (log.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 y y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (log.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (log.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 y y) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (exp.f64 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (-.f64 (fma.f64 y (log.f64 y) x) z))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (-.f64 (fma.f64 y (log.f64 y) x) z)) 3))))) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (log.f64 y)))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y (log.f64 y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 y (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 y (log.f64 y)) (exp.f64 (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (exp.f64 (log1p.f64 (*.f64 y (log.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y (log.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y (log.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 (fma.f64 y (log.f64 y) x)))))) (#(struct:change 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simplify154.0ms (3.7%)

Algorithm
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
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)))
(+.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))))
(+.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))))))
(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)))
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) (+.f64 (*.f64 -1 x) z)))
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) (+.f64 (*.f64 -1 x) z)))
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) (+.f64 (*.f64 -1 x) z)))
(exp.f64 (-.f64 x z))
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(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.f64 x x)) 1) (-.f64 (*.f64 y (log.f64 y)) x))
(/.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)))))
(/.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)))))
(/.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)))))
(/.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)))))
(/.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)))))
(/.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 (*.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 (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 (*.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 (+.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 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2)) 1) (-.f64 x (*.f64 y (log.f64 y))))
(/.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)))))
(/.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)))))
(/.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 (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 (+.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 (+.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))
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(/.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 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 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.f64 x x)) 1) (-.f64 (*.f64 y (log.f64 y)) x))
(fma.f64 y (log.f64 y) x)
(/.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)))))
(fma.f64 y (log.f64 y) x)
(/.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)))))
(/.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 (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)))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y (log.f64 y)) 2))) (/.f64 (sqrt.f64 (-.f64 x (*.f64 y (log.f64 y)))) (sqrt.f64 (fma.f64 y (log.f64 y) x))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 (-.f64 x (*.f64 y (log.f64 y))))) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.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)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (log.f64 y)) 3))) (/.f64 (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (fma.f64 y (log.f64 y) (neg.f64 x))))) (sqrt.f64 (fma.f64 y (log.f64 y) x))))
(*.f64 (/.f64 (hypot.f64 (pow.f64 x 3/2) (pow.f64 (*.f64 y (log.f64 y)) 3/2)) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 y (log.f64 y)) (fma.f64 y (log.f64 y) (neg.f64 x)))))) (sqrt.f64 (fma.f64 y (log.f64 y) x)))
(/.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)))))
(/.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 error

Found 1 expressions with local error:

NewErrorProgram
0.5b
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
Compiler

Compiled 24 to 7 computations (70.8% saved)

series24.0ms (0.6%)

Counts
1 → 20
Calls

9 calls:

TimeVariablePointExpression
14.0ms
x
@inf
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
8.0ms
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
y
@inf
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))

rewrite61.0ms (1.5%)

Algorithm
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
node limit
Counts
1 → 26
Calls
Call 1
Inputs
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 y y) (/.f64 (exp.f64 z) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 x) (/.f64 (exp.f64 z) (pow.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (exp.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 y y) (neg.f64 (exp.f64 x))) (neg.f64 (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (pow.f64 y y) (exp.f64 x))) (exp.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (exp.f64 x)) (pow.f64 y y)) (neg.f64 (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 1) (exp.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) 1) (exp.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 y y) (exp.f64 x)) (sqrt.f64 (exp.f64 z))) (sqrt.f64 (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 y y)) (exp.f64 (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 x z)) 3) (pow.f64 (pow.f64 y y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (-.f64 x z) (*.f64 y (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))))))))

simplify94.0ms (2.2%)

Algorithm
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
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)))

eval71.0ms (1.7%)

Compiler

Compiled 7174 to 2258 computations (68.5% saved)

prune92.0ms (2.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New3192321
Fresh000
Picked101
Done101
Total3212323
Error
0b
Counts
323 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
28.7b
(/.f64 (pow.f64 y y) (exp.f64 z))
1.1b
(exp.f64 (-.f64 x z))
Compiler

Compiled 16 to 11 computations (31.3% saved)

localize4.0ms (0.1%)

Compiler

Compiled 12 to 5 computations (58.3% saved)

localize48.0ms (1.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (pow.f64 y y) (exp.f64 z))
Compiler

Compiled 16 to 6 computations (62.5% saved)

series2.0ms (0.1%)

Counts
1 → 8
Calls

6 calls:

TimeVariablePointExpression
0.0ms
y
@0
(/.f64 (pow.f64 y y) (exp.f64 z))
0.0ms
z
@0
(/.f64 (pow.f64 y y) (exp.f64 z))
0.0ms
y
@inf
(/.f64 (pow.f64 y y) (exp.f64 z))
0.0ms
z
@inf
(/.f64 (pow.f64 y y) (exp.f64 z))
0.0ms
z
@-inf
(/.f64 (pow.f64 y y) (exp.f64 z))

rewrite54.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
1678×add-sqr-sqrt
1662×*-un-lft-identity
1544×add-cube-cbrt
1524×add-cbrt-cube
168×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
116417
2212617
Stop Event
node limit
Counts
1 → 32
Calls
Call 1
Inputs
(/.f64 (pow.f64 y y) (exp.f64 z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 y y) (exp.f64 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y y) (exp.f64 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 y y) (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 y y)) (*.f64 (sqrt.f64 (pow.f64 y y)) (exp.f64 (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 2) (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2) (*.f64 (cbrt.f64 (pow.f64 y y)) (exp.f64 (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 y y)) (/.f64 1 (neg.f64 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (exp.f64 z))) (/.f64 (pow.f64 y y) (sqrt.f64 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (/.f64 (pow.f64 y y) (cbrt.f64 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (pow.f64 y y)) 1) (/.f64 (sqrt.f64 (pow.f64 y y)) (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (pow.f64 y y)) (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (/.f64 (sqrt.f64 (pow.f64 y y)) (cbrt.f64 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2) 1) (/.f64 (cbrt.f64 (pow.f64 y y)) (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2) (sqrt.f64 (exp.f64 z))) (/.f64 (cbrt.f64 (pow.f64 y y)) (sqrt.f64 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2) (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 z) (pow.f64 y y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 y y) (neg.f64 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 y y) (exp.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 y (log.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (*.f64 y (log.f64 y)) z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))))))

simplify61.0ms (1.5%)

Algorithm
egg-herbie
Rules
1278×associate--r+
1076×associate-+l-
1024×associate-+r-
808×fma-def
612×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01281136
13631086
213891038
359951038
Stop Event
node limit
Counts
40 → 66
Calls
Call 1
Inputs
(/.f64 1 (exp.f64 z))
(+.f64 (/.f64 1 (exp.f64 z)) (/.f64 (*.f64 y (log.f64 y)) (exp.f64 z)))
(+.f64 (/.f64 1 (exp.f64 z)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 (log.f64 y) 2)) (exp.f64 z))) (/.f64 (*.f64 y (log.f64 y)) (exp.f64 z))))
(+.f64 (/.f64 1 (exp.f64 z)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 (log.f64 y) 3)) (exp.f64 z))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 (log.f64 y) 2)) (exp.f64 z))) (/.f64 (*.f64 y (log.f64 y)) (exp.f64 z)))))
(pow.f64 y y)
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y y) z)) (pow.f64 y y))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y y) z)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (pow.f64 y y)) (*.f64 1/2 (pow.f64 y y))) (pow.f64 z 2))) (pow.f64 y y)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y y) z)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (pow.f64 y y)) (*.f64 1/2 (pow.f64 y y)))) (+.f64 (*.f64 -1/2 (pow.f64 y y)) (*.f64 1/6 (pow.f64 y y)))) (pow.f64 z 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (pow.f64 y y)) (*.f64 1/2 (pow.f64 y y))) (pow.f64 z 2))) (pow.f64 y y))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 y y) (exp.f64 z)))) 1)
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 z)))
(*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 1)
(*.f64 1 (/.f64 (pow.f64 y y) (exp.f64 z)))
(*.f64 (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(*.f64 (sqrt.f64 (pow.f64 y y)) (*.f64 (sqrt.f64 (pow.f64 y y)) (exp.f64 (neg.f64 z))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 2) (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2) (*.f64 (cbrt.f64 (pow.f64 y y)) (exp.f64 (neg.f64 z))))
(*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y))
(*.f64 (neg.f64 (pow.f64 y y)) (/.f64 1 (neg.f64 (exp.f64 z))))
(*.f64 (/.f64 1 (sqrt.f64 (exp.f64 z))) (/.f64 (pow.f64 y y) (sqrt.f64 (exp.f64 z))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (/.f64 (pow.f64 y y) (cbrt.f64 (exp.f64 z))))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 y y)) 1) (/.f64 (sqrt.f64 (pow.f64 y y)) (exp.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 y y)) (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (/.f64 (sqrt.f64 (pow.f64 y y)) (cbrt.f64 (exp.f64 z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2) 1) (/.f64 (cbrt.f64 (pow.f64 y y)) (exp.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2) (sqrt.f64 (exp.f64 z))) (/.f64 (cbrt.f64 (pow.f64 y y)) (sqrt.f64 (exp.f64 z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2) (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 1)
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 2)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 3) 1/3)
(pow.f64 (/.f64 (exp.f64 z) (pow.f64 y y)) -1)
(neg.f64 (/.f64 (pow.f64 y y) (neg.f64 (exp.f64 z))))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 2))
(log.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 y y) (exp.f64 z)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 3))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) z))
(exp.f64 (*.f64 (-.f64 (*.f64 y (log.f64 y)) z) 1))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
Outputs
(/.f64 1 (exp.f64 z))
(exp.f64 (neg.f64 z))
(+.f64 (/.f64 1 (exp.f64 z)) (/.f64 (*.f64 y (log.f64 y)) (exp.f64 z)))
(+.f64 (/.f64 y (/.f64 (exp.f64 z) (log.f64 y))) (exp.f64 (neg.f64 z)))
(+.f64 (*.f64 (/.f64 y (exp.f64 z)) (log.f64 y)) (exp.f64 (neg.f64 z)))
(fma.f64 (/.f64 y (exp.f64 z)) (log.f64 y) (exp.f64 (neg.f64 z)))
(+.f64 (/.f64 1 (exp.f64 z)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 (log.f64 y) 2)) (exp.f64 z))) (/.f64 (*.f64 y (log.f64 y)) (exp.f64 z))))
(+.f64 (fma.f64 1/2 (/.f64 (*.f64 y y) (/.f64 (exp.f64 z) (pow.f64 (log.f64 y) 2))) (/.f64 y (/.f64 (exp.f64 z) (log.f64 y)))) (exp.f64 (neg.f64 z)))
(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 y) 2) (/.f64 (exp.f64 z) (*.f64 y y))) (*.f64 (/.f64 y (exp.f64 z)) (log.f64 y))) (exp.f64 (neg.f64 z)))
(fma.f64 1/2 (*.f64 (pow.f64 (log.f64 y) 2) (/.f64 y (/.f64 (exp.f64 z) y))) (fma.f64 (/.f64 y (exp.f64 z)) (log.f64 y) (exp.f64 (neg.f64 z))))
(+.f64 (/.f64 1 (exp.f64 z)) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 (log.f64 y) 3)) (exp.f64 z))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 (log.f64 y) 2)) (exp.f64 z))) (/.f64 (*.f64 y (log.f64 y)) (exp.f64 z)))))
(+.f64 (fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 (exp.f64 z) (pow.f64 (log.f64 y) 3))) (fma.f64 1/2 (/.f64 (*.f64 y y) (/.f64 (exp.f64 z) (pow.f64 (log.f64 y) 2))) (/.f64 y (/.f64 (exp.f64 z) (log.f64 y))))) (exp.f64 (neg.f64 z)))
(+.f64 (fma.f64 1/6 (*.f64 (/.f64 (pow.f64 y 3) (exp.f64 z)) (pow.f64 (log.f64 y) 3)) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 y) 2) (/.f64 (exp.f64 z) (*.f64 y y))) (*.f64 (/.f64 y (exp.f64 z)) (log.f64 y)))) (exp.f64 (neg.f64 z)))
(fma.f64 1/6 (*.f64 (pow.f64 (log.f64 y) 3) (/.f64 (pow.f64 y 3) (exp.f64 z))) (fma.f64 1/2 (*.f64 (pow.f64 (log.f64 y) 2) (/.f64 y (/.f64 (exp.f64 z) y))) (fma.f64 (/.f64 y (exp.f64 z)) (log.f64 y) (exp.f64 (neg.f64 z)))))
(pow.f64 y y)
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y y) z)) (pow.f64 y y))
(fma.f64 -1 (*.f64 z (pow.f64 y y)) (pow.f64 y y))
(-.f64 (pow.f64 y y) (*.f64 z (pow.f64 y y)))
(*.f64 (pow.f64 y y) (-.f64 1 z))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y y) z)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (pow.f64 y y)) (*.f64 1/2 (pow.f64 y y))) (pow.f64 z 2))) (pow.f64 y y)))
(fma.f64 -1 (*.f64 z (pow.f64 y y)) (fma.f64 -1 (*.f64 (*.f64 (pow.f64 y y) -1/2) (*.f64 z z)) (pow.f64 y y)))
(-.f64 (fma.f64 (*.f64 1/2 (pow.f64 y y)) (*.f64 z z) (pow.f64 y y)) (*.f64 z (pow.f64 y y)))
(-.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) (+.f64 z (*.f64 (*.f64 z z) -1/2))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y y) z)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (pow.f64 y y)) (*.f64 1/2 (pow.f64 y y)))) (+.f64 (*.f64 -1/2 (pow.f64 y y)) (*.f64 1/6 (pow.f64 y y)))) (pow.f64 z 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (pow.f64 y y)) (*.f64 1/2 (pow.f64 y y))) (pow.f64 z 2))) (pow.f64 y y))))
(fma.f64 -1 (*.f64 z (pow.f64 y y)) (fma.f64 -1 (*.f64 (fma.f64 -1 (*.f64 (pow.f64 y y) -1/2) (*.f64 (pow.f64 y y) -1/3)) (pow.f64 z 3)) (fma.f64 -1 (*.f64 (*.f64 (pow.f64 y y) -1/2) (*.f64 z z)) (pow.f64 y y))))
(-.f64 (-.f64 (fma.f64 (*.f64 1/2 (pow.f64 y y)) (*.f64 z z) (pow.f64 y y)) (*.f64 (fma.f64 (pow.f64 y y) -1/3 (*.f64 1/2 (pow.f64 y y))) (pow.f64 z 3))) (*.f64 z (pow.f64 y y)))
(-.f64 (-.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) (+.f64 z (*.f64 (*.f64 z z) -1/2)))) (*.f64 (*.f64 1/6 (pow.f64 y y)) (pow.f64 z 3)))
(-.f64 (*.f64 (pow.f64 y y) (-.f64 1 z)) (*.f64 (*.f64 z z) (+.f64 (*.f64 (pow.f64 y y) -1/2) (*.f64 z (*.f64 1/6 (pow.f64 y y))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 y y) (exp.f64 z)))) 1)
(/.f64 (pow.f64 y y) (exp.f64 z))
(*.f64 (pow.f64 y y) (exp.f64 (neg.f64 z)))
(/.f64 (pow.f64 y y) (exp.f64 z))
(*.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 1)
(/.f64 (pow.f64 y y) (exp.f64 z))
(*.f64 1 (/.f64 (pow.f64 y y) (exp.f64 z)))
(/.f64 (pow.f64 y y) (exp.f64 z))
(*.f64 (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(/.f64 (pow.f64 y y) (exp.f64 z))
(*.f64 (sqrt.f64 (pow.f64 y y)) (*.f64 (sqrt.f64 (pow.f64 y y)) (exp.f64 (neg.f64 z))))
(/.f64 (pow.f64 y y) (exp.f64 z))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 2))
(/.f64 (pow.f64 y y) (exp.f64 z))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 2) (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(/.f64 (pow.f64 y y) (exp.f64 z))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2) (*.f64 (cbrt.f64 (pow.f64 y y)) (exp.f64 (neg.f64 z))))
(/.f64 (pow.f64 y y) (exp.f64 z))
(*.f64 (exp.f64 (neg.f64 z)) (pow.f64 y y))
(/.f64 (pow.f64 y y) (exp.f64 z))
(*.f64 (neg.f64 (pow.f64 y y)) (/.f64 1 (neg.f64 (exp.f64 z))))
(/.f64 (pow.f64 y y) (exp.f64 z))
(*.f64 (/.f64 1 (sqrt.f64 (exp.f64 z))) (/.f64 (pow.f64 y y) (sqrt.f64 (exp.f64 z))))
(/.f64 (/.f64 (pow.f64 y y) (sqrt.f64 (exp.f64 z))) (sqrt.f64 (exp.f64 z)))
(/.f64 (pow.f64 y y) (*.f64 (sqrt.f64 (exp.f64 z)) (sqrt.f64 (exp.f64 z))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (/.f64 (pow.f64 y y) (cbrt.f64 (exp.f64 z))))
(/.f64 (/.f64 (pow.f64 y y) (cbrt.f64 (exp.f64 z))) (pow.f64 (cbrt.f64 (exp.f64 z)) 2))
(/.f64 (pow.f64 y y) (*.f64 (pow.f64 (cbrt.f64 (exp.f64 z)) 2) (cbrt.f64 (exp.f64 z))))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 y y)) 1) (/.f64 (sqrt.f64 (pow.f64 y y)) (exp.f64 z)))
(/.f64 (pow.f64 y y) (exp.f64 z))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 y y)) (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (/.f64 (sqrt.f64 (pow.f64 y y)) (cbrt.f64 (exp.f64 z))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (/.f64 (pow.f64 y y) (cbrt.f64 (exp.f64 z))))
(/.f64 (/.f64 (pow.f64 y y) (cbrt.f64 (exp.f64 z))) (pow.f64 (cbrt.f64 (exp.f64 z)) 2))
(/.f64 (pow.f64 y y) (*.f64 (pow.f64 (cbrt.f64 (exp.f64 z)) 2) (cbrt.f64 (exp.f64 z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2) 1) (/.f64 (cbrt.f64 (pow.f64 y y)) (exp.f64 z)))
(/.f64 (pow.f64 y y) (exp.f64 z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2) (sqrt.f64 (exp.f64 z))) (/.f64 (cbrt.f64 (pow.f64 y y)) (sqrt.f64 (exp.f64 z))))
(*.f64 (/.f64 1 (sqrt.f64 (exp.f64 z))) (/.f64 (pow.f64 y y) (sqrt.f64 (exp.f64 z))))
(/.f64 (/.f64 (pow.f64 y y) (sqrt.f64 (exp.f64 z))) (sqrt.f64 (exp.f64 z)))
(/.f64 (pow.f64 y y) (*.f64 (sqrt.f64 (exp.f64 z)) (sqrt.f64 (exp.f64 z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2) (pow.f64 (cbrt.f64 (exp.f64 z)) 2)) (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 y y)) 2) (pow.f64 (cbrt.f64 (exp.f64 z)) 2)))
(pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 1)
(/.f64 (pow.f64 y y) (exp.f64 z))
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 2)
(/.f64 (pow.f64 y y) (exp.f64 z))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 y y) (exp.f64 z))) 3)
(/.f64 (pow.f64 y y) (exp.f64 z))
(pow.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 3) 1/3)
(/.f64 (pow.f64 y y) (exp.f64 z))
(pow.f64 (/.f64 (exp.f64 z) (pow.f64 y y)) -1)
(/.f64 (pow.f64 y y) (exp.f64 z))
(neg.f64 (/.f64 (pow.f64 y y) (neg.f64 (exp.f64 z))))
(/.f64 (pow.f64 y y) (exp.f64 z))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 2))
(/.f64 (pow.f64 y y) (exp.f64 z))
(log.f64 (exp.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(/.f64 (pow.f64 y y) (exp.f64 z))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 y y) (exp.f64 z)))))
(/.f64 (pow.f64 y y) (exp.f64 z))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 y y) (exp.f64 z)) 3))
(/.f64 (pow.f64 y y) (exp.f64 z))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(/.f64 (pow.f64 y y) (exp.f64 z))
(exp.f64 (-.f64 (*.f64 y (log.f64 y)) z))
(/.f64 (pow.f64 y y) (exp.f64 z))
(exp.f64 (*.f64 (-.f64 (*.f64 y (log.f64 y)) z) 1))
(/.f64 (pow.f64 y y) (exp.f64 z))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 y y) (exp.f64 z))))
(/.f64 (pow.f64 y y) (exp.f64 z))

eval13.0ms (0.3%)

Compiler

Compiled 1044 to 367 computations (64.8% saved)

prune11.0ms (0.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New63366
Fresh000
Picked101
Done011
Total64468
Error
0b
Counts
68 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
43.1b
(pow.f64 y y)
43.1b
(*.f64 (pow.f64 y y) (-.f64 1 z))
1.1b
(exp.f64 (-.f64 x z))
20.8b
(exp.f64 (neg.f64 z))
Compiler

Compiled 29 to 21 computations (27.6% saved)

localize57.0ms (1.4%)

Compiler

Compiled 9 to 5 computations (44.4% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (pow.f64 y y) (-.f64 1 z))
Compiler

Compiled 19 to 10 computations (47.4% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
y
@0
(*.f64 (pow.f64 y y) (-.f64 1 z))
0.0ms
y
@inf
(*.f64 (pow.f64 y y) (-.f64 1 z))
0.0ms
z
@inf
(*.f64 (pow.f64 y y) (-.f64 1 z))
0.0ms
y
@-inf
(*.f64 (pow.f64 y y) (-.f64 1 z))
0.0ms
z
@0
(*.f64 (pow.f64 y y) (-.f64 1 z))

rewrite55.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
1706×add-sqr-sqrt
1686×*-un-lft-identity
1572×add-cube-cbrt
1554×add-cbrt-cube
166×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
116719
2211419
Stop Event
node limit
Counts
1 → 19
Calls
Call 1
Inputs
(*.f64 (pow.f64 y y) (-.f64 1 z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 y y) (*.f64 (neg.f64 z) (pow.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 y y) (-.f64 1 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 y y) (-.f64 1 (*.f64 z z))) (+.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 y y) (-.f64 1 (pow.f64 z 3))) (+.f64 1 (fma.f64 z z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 z z)) (pow.f64 y y)) (+.f64 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 z 3)) (pow.f64 y y)) (+.f64 1 (fma.f64 z z z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y y) (-.f64 1 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (pow.f64 y y) (-.f64 1 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 y y) (-.f64 1 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 y y) (-.f64 1 z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (-.f64 1 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1 z)) (pow.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 y y) (-.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (-.f64 1 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 y y) (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 y y) (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 y y) (-.f64 1 z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 y y) (-.f64 1 z))))))))

simplify57.0ms (1.4%)

Algorithm
egg-herbie
Rules
1226×associate-*r*
1112×associate-*l*
664×log-prod
520×+-commutative
416×fma-def
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0871047
12251043
27811027
344071009
Stop Event
node limit
Counts
43 → 45
Calls
Call 1
Inputs
(-.f64 1 z)
(-.f64 (+.f64 (*.f64 y (*.f64 (-.f64 1 z) (log.f64 y))) 1) z)
(-.f64 (+.f64 (*.f64 y (*.f64 (-.f64 1 z) (log.f64 y))) (+.f64 1 (*.f64 1/2 (*.f64 (pow.f64 y 2) (*.f64 (-.f64 1 z) (pow.f64 (log.f64 y) 2)))))) z)
(-.f64 (+.f64 (*.f64 y (*.f64 (-.f64 1 z) (log.f64 y))) (+.f64 1 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (*.f64 (-.f64 1 z) (pow.f64 (log.f64 y) 3)))) (*.f64 1/2 (*.f64 (pow.f64 y 2) (*.f64 (-.f64 1 z) (pow.f64 (log.f64 y) 2))))))) z)
(*.f64 (-.f64 1 z) (pow.f64 y y))
(*.f64 (-.f64 1 z) (pow.f64 y y))
(*.f64 (-.f64 1 z) (pow.f64 y y))
(*.f64 (-.f64 1 z) (pow.f64 y y))
(*.f64 (-.f64 1 z) (pow.f64 y y))
(*.f64 (-.f64 1 z) (pow.f64 y y))
(*.f64 (-.f64 1 z) (pow.f64 y y))
(*.f64 (-.f64 1 z) (pow.f64 y y))
(pow.f64 y y)
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y y) z)) (pow.f64 y y))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y y) z)) (pow.f64 y y))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y y) z)) (pow.f64 y y))
(*.f64 -1 (*.f64 (pow.f64 y y) z))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y y) z)) (pow.f64 y y))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y y) z)) (pow.f64 y y))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y y) z)) (pow.f64 y y))
(*.f64 -1 (*.f64 (pow.f64 y y) z))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y y) z)) (pow.f64 y y))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y y) z)) (pow.f64 y y))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y y) z)) (pow.f64 y y))
(+.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) (neg.f64 z)))
(+.f64 (pow.f64 y y) (*.f64 (neg.f64 z) (pow.f64 y y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 y y) (-.f64 1 z)))) 1)
(/.f64 (*.f64 (pow.f64 y y) (-.f64 1 (*.f64 z z))) (+.f64 1 z))
(/.f64 (*.f64 (pow.f64 y y) (-.f64 1 (pow.f64 z 3))) (+.f64 1 (fma.f64 z z z)))
(/.f64 (*.f64 (-.f64 1 (*.f64 z z)) (pow.f64 y y)) (+.f64 1 z))
(/.f64 (*.f64 (-.f64 1 (pow.f64 z 3)) (pow.f64 y y)) (+.f64 1 (fma.f64 z z z)))
(pow.f64 (*.f64 (pow.f64 y y) (-.f64 1 z)) 1)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 y y) (-.f64 1 z))) 2)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 y y) (-.f64 1 z))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 y y) (-.f64 1 z)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (-.f64 1 z)) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 1 z)) (pow.f64 y y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 y y) (-.f64 1 z)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (-.f64 1 z)) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 y y) (-.f64 1 z))))
(exp.f64 (log.f64 (*.f64 (pow.f64 y y) (-.f64 1 z))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 y y) (-.f64 1 z))) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 y y) (-.f64 1 z))))
Outputs
(-.f64 1 z)
(-.f64 (+.f64 (*.f64 y (*.f64 (-.f64 1 z) (log.f64 y))) 1) z)
(-.f64 (fma.f64 y (*.f64 (-.f64 1 z) (log.f64 y)) 1) z)
(*.f64 (+.f64 (log.f64 (pow.f64 y y)) 1) (-.f64 1 z))
(*.f64 (+.f64 1 (log.f64 (pow.f64 y y))) (-.f64 1 z))
(-.f64 (+.f64 (*.f64 y (*.f64 (-.f64 1 z) (log.f64 y))) (+.f64 1 (*.f64 1/2 (*.f64 (pow.f64 y 2) (*.f64 (-.f64 1 z) (pow.f64 (log.f64 y) 2)))))) z)
(-.f64 (+.f64 (fma.f64 y (*.f64 (-.f64 1 z) (log.f64 y)) 1) (*.f64 (*.f64 1/2 (*.f64 y y)) (*.f64 (-.f64 1 z) (pow.f64 (log.f64 y) 2)))) z)
(-.f64 (fma.f64 y (*.f64 (-.f64 1 z) (log.f64 y)) (fma.f64 1/2 (*.f64 y (*.f64 y (*.f64 (-.f64 1 z) (pow.f64 (log.f64 y) 2)))) 1)) z)
(+.f64 (-.f64 1 z) (*.f64 (-.f64 1 z) (+.f64 (*.f64 (*.f64 y y) (*.f64 1/2 (pow.f64 (log.f64 y) 2))) (log.f64 (pow.f64 y y)))))
(+.f64 1 (-.f64 (*.f64 (*.f64 (-.f64 1 z) (log.f64 y)) (+.f64 (*.f64 (log.f64 y) (*.f64 y (*.f64 y 1/2))) y)) z))
(-.f64 (+.f64 (*.f64 y (*.f64 (-.f64 1 z) (log.f64 y))) (+.f64 1 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (*.f64 (-.f64 1 z) (pow.f64 (log.f64 y) 3)))) (*.f64 1/2 (*.f64 (pow.f64 y 2) (*.f64 (-.f64 1 z) (pow.f64 (log.f64 y) 2))))))) z)
(-.f64 (+.f64 (fma.f64 y (*.f64 (-.f64 1 z) (log.f64 y)) 1) (fma.f64 1/6 (*.f64 (pow.f64 y 3) (*.f64 (-.f64 1 z) (pow.f64 (log.f64 y) 3))) (*.f64 (*.f64 1/2 (*.f64 y y)) (*.f64 (-.f64 1 z) (pow.f64 (log.f64 y) 2))))) z)
(+.f64 (fma.f64 y (*.f64 (-.f64 1 z) (log.f64 y)) 1) (-.f64 (fma.f64 1/2 (*.f64 y (*.f64 y (*.f64 (-.f64 1 z) (pow.f64 (log.f64 y) 2)))) (*.f64 1/6 (*.f64 (-.f64 1 z) (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 y 3))))) z))
(+.f64 (*.f64 (+.f64 (log.f64 (pow.f64 y y)) 1) (-.f64 1 z)) (*.f64 (-.f64 1 z) (+.f64 (*.f64 (*.f64 y y) (*.f64 1/2 (pow.f64 (log.f64 y) 2))) (*.f64 (pow.f64 (log.f64 y) 3) (*.f64 1/6 (pow.f64 y 3))))))
(+.f64 (-.f64 1 z) (*.f64 (-.f64 1 z) (+.f64 (log.f64 (pow.f64 y y)) (*.f64 (pow.f64 (log.f64 y) 2) (+.f64 (*.f64 (*.f64 1/6 (pow.f64 y 3)) (log.f64 y)) (*.f64 y (*.f64 y 1/2)))))))
(*.f64 (-.f64 1 z) (pow.f64 y y))
(*.f64 (-.f64 1 z) (pow.f64 y y))
(*.f64 (-.f64 1 z) (pow.f64 y y))
(*.f64 (-.f64 1 z) (pow.f64 y y))
(*.f64 (-.f64 1 z) (pow.f64 y y))
(*.f64 (-.f64 1 z) (pow.f64 y y))
(*.f64 (-.f64 1 z) (pow.f64 y y))
(*.f64 (-.f64 1 z) (pow.f64 y y))
(pow.f64 y y)
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y y) z)) (pow.f64 y y))
(*.f64 (-.f64 1 z) (pow.f64 y y))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y y) z)) (pow.f64 y y))
(*.f64 (-.f64 1 z) (pow.f64 y y))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y y) z)) (pow.f64 y y))
(*.f64 (-.f64 1 z) (pow.f64 y y))
(*.f64 -1 (*.f64 (pow.f64 y y) z))
(*.f64 (pow.f64 y y) (neg.f64 z))
(*.f64 z (neg.f64 (pow.f64 y y)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y y) z)) (pow.f64 y y))
(*.f64 (-.f64 1 z) (pow.f64 y y))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y y) z)) (pow.f64 y y))
(*.f64 (-.f64 1 z) (pow.f64 y y))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y y) z)) (pow.f64 y y))
(*.f64 (-.f64 1 z) (pow.f64 y y))
(*.f64 -1 (*.f64 (pow.f64 y y) z))
(*.f64 (pow.f64 y y) (neg.f64 z))
(*.f64 z (neg.f64 (pow.f64 y y)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y y) z)) (pow.f64 y y))
(*.f64 (-.f64 1 z) (pow.f64 y y))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y y) z)) (pow.f64 y y))
(*.f64 (-.f64 1 z) (pow.f64 y y))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y y) z)) (pow.f64 y y))
(*.f64 (-.f64 1 z) (pow.f64 y y))
(+.f64 (pow.f64 y y) (*.f64 (pow.f64 y y) (neg.f64 z)))
(*.f64 (-.f64 1 z) (pow.f64 y y))
(+.f64 (pow.f64 y y) (*.f64 (neg.f64 z) (pow.f64 y y)))
(*.f64 (-.f64 1 z) (pow.f64 y y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 y y) (-.f64 1 z)))) 1)
(*.f64 (-.f64 1 z) (pow.f64 y y))
(/.f64 (*.f64 (pow.f64 y y) (-.f64 1 (*.f64 z z))) (+.f64 1 z))
(/.f64 (-.f64 1 (*.f64 z z)) (/.f64 (+.f64 1 z) (pow.f64 y y)))
(*.f64 (/.f64 (pow.f64 y y) (+.f64 1 z)) (-.f64 1 (*.f64 z z)))
(*.f64 (pow.f64 y y) (/.f64 (-.f64 1 (*.f64 z z)) (+.f64 1 z)))
(/.f64 (*.f64 (pow.f64 y y) (-.f64 1 (pow.f64 z 3))) (+.f64 1 (fma.f64 z z z)))
(/.f64 (-.f64 1 (pow.f64 z 3)) (/.f64 (+.f64 1 (fma.f64 z z z)) (pow.f64 y y)))
(*.f64 (pow.f64 y y) (/.f64 (-.f64 1 (pow.f64 z 3)) (+.f64 1 (fma.f64 z z z))))
(/.f64 (*.f64 (-.f64 1 (*.f64 z z)) (pow.f64 y y)) (+.f64 1 z))
(/.f64 (-.f64 1 (*.f64 z z)) (/.f64 (+.f64 1 z) (pow.f64 y y)))
(*.f64 (/.f64 (pow.f64 y y) (+.f64 1 z)) (-.f64 1 (*.f64 z z)))
(*.f64 (pow.f64 y y) (/.f64 (-.f64 1 (*.f64 z z)) (+.f64 1 z)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 z 3)) (pow.f64 y y)) (+.f64 1 (fma.f64 z z z)))
(/.f64 (*.f64 (pow.f64 y y) (-.f64 1 (pow.f64 z 3))) (+.f64 1 (fma.f64 z z z)))
(/.f64 (-.f64 1 (pow.f64 z 3)) (/.f64 (+.f64 1 (fma.f64 z z z)) (pow.f64 y y)))
(*.f64 (pow.f64 y y) (/.f64 (-.f64 1 (pow.f64 z 3)) (+.f64 1 (fma.f64 z z z))))
(pow.f64 (*.f64 (pow.f64 y y) (-.f64 1 z)) 1)
(*.f64 (-.f64 1 z) (pow.f64 y y))
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 y y) (-.f64 1 z))) 2)
(*.f64 (-.f64 1 z) (pow.f64 y y))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 y y) (-.f64 1 z))) 3)
(*.f64 (-.f64 1 z) (pow.f64 y y))
(pow.f64 (pow.f64 (*.f64 (pow.f64 y y) (-.f64 1 z)) 3) 1/3)
(*.f64 (-.f64 1 z) (pow.f64 y y))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (-.f64 1 z)) 2))
(*.f64 (-.f64 1 z) (pow.f64 y y))
(log.f64 (pow.f64 (exp.f64 (-.f64 1 z)) (pow.f64 y y)))
(*.f64 (-.f64 1 z) (pow.f64 y y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 y y) (-.f64 1 z)))))
(*.f64 (-.f64 1 z) (pow.f64 y y))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 y y) (-.f64 1 z)) 3))
(*.f64 (-.f64 1 z) (pow.f64 y y))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 y y) (-.f64 1 z))))
(*.f64 (-.f64 1 z) (pow.f64 y y))
(exp.f64 (log.f64 (*.f64 (pow.f64 y y) (-.f64 1 z))))
(*.f64 (-.f64 1 z) (pow.f64 y y))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 y y) (-.f64 1 z))) 1))
(*.f64 (-.f64 1 z) (pow.f64 y y))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 y y) (-.f64 1 z))))
(*.f64 (-.f64 1 z) (pow.f64 y y))

localize3.0ms (0.1%)

Compiler

Compiled 7 to 4 computations (42.9% saved)

eval30.0ms (0.7%)

Compiler

Compiled 679 to 382 computations (43.7% saved)

prune11.0ms (0.3%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New44145
Fresh000
Picked011
Done033
Total44549
Error
0b
Counts
49 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
43.1b
(pow.f64 y y)
43.8b
(-.f64 1 z)
43.1b
(*.f64 (pow.f64 y y) (-.f64 1 z))
1.1b
(exp.f64 (-.f64 x z))
20.8b
(exp.f64 (neg.f64 z))
Compiler

Compiled 35 to 26 computations (25.7% saved)

localize3.0ms (0.1%)

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

Compiler

Compiled 3 to 3 computations (0% saved)

prune2.0ms (0%)

Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done044
Total055
Error
0b
Counts
5 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
43.1b
(pow.f64 y y)
43.8b
(-.f64 1 z)
43.1b
(*.f64 (pow.f64 y y) (-.f64 1 z))
1.1b
(exp.f64 (-.f64 x z))
20.8b
(exp.f64 (neg.f64 z))
Compiler

Compiled 35 to 26 computations (25.7% saved)

regimes35.0ms (0.8%)

Counts
8 → 1
Calls
Call 1
Inputs
(-.f64 1 z)
(exp.f64 (neg.f64 z))
(pow.f64 y y)
(exp.f64 (-.f64 x z))
(*.f64 (pow.f64 y y) (-.f64 1 z))
(/.f64 (pow.f64 y y) (exp.f64 z))
(*.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:

6.0ms
(*.f64 y (log.f64 y))
6.0ms
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
5.0ms
x
5.0ms
(+.f64 x (*.f64 y (log.f64 y)))
5.0ms
z
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1z
0.0b1(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
0.0b1(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
0.0b1(+.f64 x (*.f64 y (log.f64 y)))
0.0b1(*.f64 y (log.f64 y))
Compiler

Compiled 97 to 56 computations (42.3% saved)

regimes20.0ms (0.5%)

Counts
7 → 2
Calls
Call 1
Inputs
(-.f64 1 z)
(exp.f64 (neg.f64 z))
(pow.f64 y y)
(exp.f64 (-.f64 x z))
(*.f64 (pow.f64 y y) (-.f64 1 z))
(/.f64 (pow.f64 y y) (exp.f64 z))
(*.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:

9.0ms
y
5.0ms
z
5.0ms
x
Results
ErrorSegmentsBranch
1.1b1x
0b2y
1.1b1z
Compiler

Compiled 49 to 25 computations (49% saved)

bsearch17.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
17.0ms
3.9923615749485695
396.5765592393157
Results
13.0ms112×body256valid
3.0ms21×body256infinite
Compiler

Compiled 158 to 111 computations (29.7% saved)

regimes16.0ms (0.4%)

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

3 calls:

6.0ms
y
4.0ms
z
4.0ms
x
Results
ErrorSegmentsBranch
1.1b1x
1.1b1y
1.1b1z
Compiler

Compiled 41 to 24 computations (41.5% saved)

regimes13.0ms (0.3%)

Accuracy

Total -23.5b remaining (-113%)

Threshold costs -23.5b (-113%)

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

3 calls:

6.0ms
z
3.0ms
x
3.0ms
y
Results
ErrorSegmentsBranch
20.8b1x
20.8b1y
20.8b1z
Compiler

Compiled 24 to 17 computations (29.2% saved)

simplify8.0ms (0.2%)

Algorithm
egg-herbie
Rules
10×+-commutative
sub-neg
*-commutative
1-exp
neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02597
13697
24197
34297
Stop Event
done
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)))
(exp.f64 (-.f64 x z))
(exp.f64 (neg.f64 z))
(-.f64 1 z)
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)))
(exp.f64 (-.f64 x z))
(exp.f64 (neg.f64 z))
(-.f64 1 z)
Compiler

Compiled 50 to 33 computations (34% saved)

soundness294.0ms (7%)

Algorithm
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
node limit
Compiler

Compiled 58 to 22 computations (62.1% saved)

end284.0ms (6.8%)

Compiler

Compiled 38 to 19 computations (50% saved)

Profiling

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