Details

Time bar (total: 2.5s)

analyze356.0ms (14.1%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
9.4%65.5%25.1%6
14%60.8%25.1%7
14%56.2%29.8%8
14%36.7%49.3%9
14.8%30.4%54.8%10
15.5%28.3%56.2%11
16.4%18.3%65.2%12
17.2%15.2%67.6%13
17.7%14.2%68.1%14
Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.7s (65.9%)

Results
1.1s8256×body128valid
498.0ms4362×body128invalid
Compiler

Compiled 26 to 18 computations (30.8% saved)

preprocess42.0ms (1.7%)

Algorithm
egg-herbie
Rules
574×times-frac_binary64
403×associate-*l*_binary64
372×associate-*r*_binary64
304×fma-neg_binary64
216×exp-sum_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02256
15548
213348
329948
454048
5122248
6492548
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)))
(exp.f64 (-.f64 (+.f64 y (*.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)))
(/.f64 (pow.f64 x x) (exp.f64 (-.f64 z y)))
(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))
(exp.f64 (fma.f64 y (log.f64 y) (-.f64 z x)))
(*.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 x z)))
(exp.f64 (-.f64 (+.f64 x (*.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 12 to 8 computations (33.3% saved)

simplify22.0ms (0.9%)

Algorithm
egg-herbie
Rules
508×unswap-sqr_binary64
477×associate-/l/_binary64
420×associate-/r/_binary64
262×times-frac_binary64
256×associate-*l/_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0914
11812
24112
38912
415712
531312
696912
7257012
Stop Event
node limit
Counts
1 → 2
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)))
(/.f64 (pow.f64 y y) (exp.f64 (-.f64 z x)))

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
0b
Counts
3 → 1
Alt Table
StatusErrorProgram
0b
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
Compiler

Compiled 44 to 28 computations (36.4% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

series79.0ms (3.1%)

Counts
3 → 68
Calls

18 calls:

TimeVariablePointExpression
31.0ms
y
@0
(*.f64 y (log.f64 y))
23.0ms
y
@-inf
(*.f64 y (log.f64 y))
12.0ms
y
@inf
(*.f64 y (log.f64 y))
5.0ms
z
@0
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
4.0ms
x
@0
(+.f64 x (*.f64 y (log.f64 y)))

rewrite68.0ms (2.7%)

Algorithm
batch-egg-rewrite
Rules
505×fma-def_binary64
456×log-prod_binary64
249×fma-neg_binary64
170×expm1-udef_binary64
170×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0827
117823
2267523
Stop Event
node limit
Counts
3 → 206
Calls
Call 1
Inputs
(*.f64 y (log.f64 y))
(+.f64 x (*.f64 y (log.f64 y)))
(-.f64 (+.f64 x (*.f64 y (log.f64 y))) z)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (pow.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 y y)) (cbrt.f64 (pow.f64 y y)))) (log.f64 (cbrt.f64 (pow.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 y y))) (log.f64 (sqrt.f64 (pow.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 y y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (pow.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (pow.f64 y y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (pow.f64 y y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (pow.f64 y y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (pow.f64 y 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 (log.f64 (pow.f64 y y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (pow.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 y y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 y y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (pow.f64 y y))))))))
((#(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 (/.f64 (*.f64 x x) (-.f64 x (log.f64 (pow.f64 y y)))) (/.f64 (pow.f64 (log.f64 (pow.f64 y y)) 2) (-.f64 x (log.f64 (pow.f64 y y)))))))) (#(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 (cbrt.f64 (fma.f64 y (log.f64 y) x)) (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) 2) (cbrt.f64 (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 #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (log.f64 (pow.f64 y y)) 3)) (/.f64 1 (fma.f64 (log.f64 (pow.f64 y y)) (-.f64 (log.f64 (pow.f64 y y)) x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 (pow.f64 y y)) 2)) (/.f64 1 (-.f64 x (log.f64 (pow.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (log.f64 (pow.f64 y y)) (-.f64 (log.f64 (pow.f64 y y)) x) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (log.f64 (pow.f64 y y)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (log.f64 (pow.f64 y y))) (-.f64 (*.f64 x x) (pow.f64 (log.f64 (pow.f64 y y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (log.f64 (pow.f64 y y)) 3)) (fma.f64 (log.f64 (pow.f64 y y)) (-.f64 (log.f64 (pow.f64 y y)) x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (log.f64 (pow.f64 y y)) 3)) (+.f64 (pow.f64 (log.f64 (pow.f64 y y)) 2) (-.f64 (*.f64 x x) (*.f64 (log.f64 (pow.f64 y y)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 (pow.f64 y y)) 2)) (-.f64 x (log.f64 (pow.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (log.f64 (pow.f64 y y)) 3))) (neg.f64 (fma.f64 (log.f64 (pow.f64 y y)) (-.f64 (log.f64 (pow.f64 y y)) x) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 (pow.f64 y y)) 2))) (neg.f64 (-.f64 x (log.f64 (pow.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 y y)) 2) (*.f64 x x)) (-.f64 (log.f64 (pow.f64 y y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y (log.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (pow.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (log.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (-.f64 (pow.f64 y y) 1)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 y y) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (-.f64 (pow.f64 y y) 1)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (+.f64 1 (-.f64 (pow.f64 y y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (-.f64 (pow.f64 y y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y (log.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 y (log.f64 y) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y (log.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y (log.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (log.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 y) y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 (pow.f64 y y)) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (log.f64 (pow.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 (pow.f64 y y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (log.f64 (pow.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (log.f64 (pow.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (log.f64 (pow.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (log.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (*.f64 (cbrt.f64 (log.f64 y)) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (log.f64 (pow.f64 y y))) (pow.f64 (cbrt.f64 (log.f64 (pow.f64 y y))) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 y y))) 2) (cbrt.f64 (log.f64 (pow.f64 y y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (log.f64 (pow.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (log.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 (pow.f64 y y))) (sqrt.f64 (log.f64 (pow.f64 y y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log.f64 y) (sqrt.f64 y)) (sqrt.f64 y) x)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 y y)) (-.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (-.f64 (log.f64 (pow.f64 y y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (-.f64 (log.f64 (pow.f64 y y)) z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y (log.f64 y) x) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y (log.f64 y) x) (*.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y (log.f64 y) (-.f64 x z)) (fma.f64 (neg.f64 z) 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y (log.f64 y) (-.f64 x z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y (log.f64 y) (-.f64 x z)) (+.f64 (neg.f64 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 z) (fma.f64 y (log.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 (pow.f64 y y)) z) x)))) 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(fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (fma.f64 y (log.f64 y) x) 2) (*.f64 z z)) (/.f64 1 (+.f64 x (fma.f64 y (log.f64 y) z))) (+.f64 (neg.f64 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 (pow.f64 y y)) 2)) (/.f64 1 (-.f64 x (log.f64 (pow.f64 y y)))) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 (pow.f64 y y)) 2)) (/.f64 1 (-.f64 x (log.f64 (pow.f64 y y)))) (*.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z))) (cbrt.f64 (neg.f64 z)) (fma.f64 y (log.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z)) (cbrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z))) (cbrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)) (fma.f64 y (log.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z)) (sqrt.f64 (-.f64 (log.f64 (pow.f64 y y)) z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) (fma.f64 y (log.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 z (fma.f64 y (log.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 z)) (fma.f64 (neg.f64 z) 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (fma.f64 y (log.f64 y) x)) (sqrt.f64 z)) (+.f64 (neg.f64 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (log.f64 (pow.f64 y y))) (sqrt.f64 z)) (-.f64 (sqrt.f64 (log.f64 (pow.f64 y y))) (sqrt.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (fma.f64 y (log.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)) (-.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) (-.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (-.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log.f64 y) (sqrt.f64 y)) (sqrt.f64 y) (-.f64 x z))))))

simplify96.0ms (3.8%)

Algorithm
egg-herbie
Rules
591×distribute-rgt-in_binary64
460×fma-neg_binary64
391×unsub-neg_binary64
323×distribute-neg-in_binary64
318×sub-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
028557
166557
2129505
3337505
4772505
51597505
63533505
74164505
84408505
94483505
104510505
114515505
124699505
Stop Event
node limit
Counts
274 → 223
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)
(*.f64 y (log.f64 y))
(+.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)
(+.f64 (*.f64 y (log.f64 y)) x)
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)
(+.f64 (*.f64 y (log.f64 y)) x)
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) x)
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) x)
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) x)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) x)
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) x)
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) x)
(-.f64 (*.f64 y (log.f64 y)) z)
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z)
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z)
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z)
x
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z)
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z)
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z)
x
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z)
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z)
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z)
(-.f64 x z)
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z)
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z)
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z)
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) x) z)
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) x) z)
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) x) z)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) x) z)
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) x) z)
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) x) z)
(+.f64 (*.f64 y (log.f64 y)) x)
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x))
(*.f64 -1 z)
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x))
(*.f64 -1 z)
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x))
Outputs
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 (neg.f64 (log.f64 y)) (neg.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 (neg.f64 (log.f64 y)) (neg.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 (neg.f64 (log.f64 y)) (neg.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 (neg.f64 (log.f64 y)) (neg.f64 y))
(*.f64 y (log.f64 y))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 (neg.f64 (log.f64 y)) (neg.f64 y))
(*.f64 y (log.f64 y))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 (neg.f64 (log.f64 y)) (neg.f64 y))
(*.f64 y (log.f64 y))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 (neg.f64 (log.f64 y)) (neg.f64 y))
(*.f64 y (log.f64 y))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 (neg.f64 (log.f64 y)) (neg.f64 y))
(*.f64 y (log.f64 y))
(*.f64 y (log.f64 y))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 (neg.f64 (log.f64 y)) (neg.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 (neg.f64 (log.f64 y)) (neg.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)
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 (neg.f64 (log.f64 y)) (neg.f64 y))
(*.f64 y (log.f64 y))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) x)
(fma.f64 y (log.f64 y) x)
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) x)
(fma.f64 y (log.f64 y) x)
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) x)
(fma.f64 y (log.f64 y) x)
(-.f64 (*.f64 y (log.f64 y)) z)
(fma.f64 y (log.f64 y) (neg.f64 z))
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z)
(-.f64 (fma.f64 y (log.f64 y) x) z)
(fma.f64 y (log.f64 y) (-.f64 x z))
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z)
(-.f64 (fma.f64 y (log.f64 y) x) z)
(fma.f64 y (log.f64 y) (-.f64 x z))
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z)
(-.f64 (fma.f64 y (log.f64 y) x) z)
(fma.f64 y (log.f64 y) (-.f64 x z))
x
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z)
(-.f64 (fma.f64 y (log.f64 y) x) z)
(fma.f64 y (log.f64 y) (-.f64 x z))
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z)
(-.f64 (fma.f64 y (log.f64 y) x) z)
(fma.f64 y (log.f64 y) (-.f64 x z))
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z)
(-.f64 (fma.f64 y (log.f64 y) x) z)
(fma.f64 y (log.f64 y) (-.f64 x z))
x
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z)
(-.f64 (fma.f64 y (log.f64 y) x) z)
(fma.f64 y (log.f64 y) (-.f64 x z))
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z)
(-.f64 (fma.f64 y (log.f64 y) x) z)
(fma.f64 y (log.f64 y) (-.f64 x z))
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z)
(-.f64 (fma.f64 y (log.f64 y) x) z)
(fma.f64 y (log.f64 y) (-.f64 x z))
(-.f64 x z)
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z)
(-.f64 (fma.f64 y (log.f64 y) x) z)
(fma.f64 y (log.f64 y) (-.f64 x z))
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z)
(-.f64 (fma.f64 y (log.f64 y) x) z)
(fma.f64 y (log.f64 y) (-.f64 x z))
(-.f64 (+.f64 (*.f64 y (log.f64 y)) x) z)
(-.f64 (fma.f64 y (log.f64 y) x) z)
(fma.f64 y (log.f64 y) (-.f64 x z))
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 (neg.f64 (log.f64 y)) (neg.f64 y))
(*.f64 y (log.f64 y))
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) x) z)
(-.f64 (fma.f64 y (log.f64 y) x) z)
(fma.f64 y (log.f64 y) (-.f64 x z))
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) x) z)
(-.f64 (fma.f64 y (log.f64 y) x) z)
(fma.f64 y (log.f64 y) (-.f64 x z))
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))) x) z)
(-.f64 (fma.f64 y (log.f64 y) x) z)
(fma.f64 y (log.f64 y) (-.f64 x z))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 (neg.f64 (log.f64 y)) (neg.f64 y))
(*.f64 y (log.f64 y))
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) x) z)
(-.f64 (fma.f64 y (log.f64 y) x) z)
(fma.f64 y (log.f64 y) (-.f64 x z))
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) x) z)
(-.f64 (fma.f64 y (log.f64 y) x) z)
(fma.f64 y (log.f64 y) (-.f64 x z))
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) x) z)
(-.f64 (fma.f64 y (log.f64 y) x) z)
(fma.f64 y (log.f64 y) (-.f64 x z))
(+.f64 (*.f64 y (log.f64 y)) x)
(fma.f64 y (log.f64 y) x)
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x))
(-.f64 (fma.f64 y (log.f64 y) x) z)
(fma.f64 y (log.f64 y) (-.f64 x z))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x))
(-.f64 (fma.f64 y (log.f64 y) x) z)
(fma.f64 y (log.f64 y) (-.f64 x z))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x))
(-.f64 (fma.f64 y (log.f64 y) x) z)
(fma.f64 y (log.f64 y) (-.f64 x z))
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x))
(-.f64 (fma.f64 y (log.f64 y) x) z)
(fma.f64 y (log.f64 y) (-.f64 x z))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x))
(-.f64 (fma.f64 y (log.f64 y) x) z)
(fma.f64 y (log.f64 y) (-.f64 x z))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x))
(-.f64 (fma.f64 y (log.f64 y) x) z)
(fma.f64 y (log.f64 y) (-.f64 x z))
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x))
(-.f64 (fma.f64 y (log.f64 y) x) z)
(fma.f64 y (log.f64 y) (-.f64 x z))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x))
(-.f64 (fma.f64 y (log.f64 y) x) z)
(fma.f64 y (log.f64 y) (-.f64 x z))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 y (log.f64 y)) x))
(-.f64 (fma.f64 y (log.f64 y) x) z)
(fma.f64 y (log.f64 y) (-.f64 x z))

prune97.0ms (3.8%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New2230223
Fresh000
Picked011
Done000
Total2231224
Error
0b
Counts
224 → 1
Alt Table
StatusErrorProgram
0b
(exp.f64 (-.f64 (+.f64 x (*.f64 y (log.f64 y))) z))
Compiler

Compiled 3528 to 1186 computations (66.4% saved)

regimes55.0ms (2.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts
11 → 1
Compiler

Compiled 144 to 79 computations (45.1% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
sub-neg_binary64
*-commutative_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0812
11012
21512
31712
41812
Stop Event
saturated
Calls
Call 1
Inputs
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z)))
Outputs
(exp.f64 (fma.f64 (log.f64 y) y (-.f64 x z)))

end33.0ms (1.3%)

Stop Event
done
Compiler

Compiled 34 to 22 computations (35.3% saved)

Profiling

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