Details

Time bar (total: 3.7s)

analyze250.0ms (6.8%)

Algorithm
1×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%74.9%25.1%4
0%74.9%25.1%5
0%62.4%37.6%6
12.5%43.7%43.8%7
12.5%43.7%43.8%8
25%28.1%47%9
28.1%20.3%51.6%10
28.1%20.3%51.6%11
34.3%13.3%52.4%12
35.9%9.8%54.4%13
35.9%9.8%54.4%14
Compiler

Compiled 16 to 12 computations (25% saved)

sample1.1s (30.4%)

Results
1.1s8256×body128valid
46.0ms377×body128invalid
Compiler

Compiled 32 to 24 computations (25% saved)

preprocess44.0ms (1.2%)

Algorithm
2×egg-herbie
Rules
811×fma-def_binary64
443×unsub-neg_binary64
369×distribute-rgt-in_binary64
336×fma-neg_binary64
248×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02664
18264
220964
349164
4116156
5253456
6429956
033
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(+.f64 (*.f64 x 1/2) (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
(+.f64 (*.f64 y 1/2) (*.f64 x (+.f64 (-.f64 1 z) (log.f64 z))))
(+.f64 (*.f64 z 1/2) (*.f64 y (+.f64 (-.f64 1 x) (log.f64 x))))
(+.f64 (*.f64 x 1/2) (*.f64 z (+.f64 (-.f64 1 y) (log.f64 y))))
Outputs
(+.f64 (*.f64 x 1/2) (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
(fma.f64 x 1/2 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
(fma.f64 y (+.f64 (-.f64 1 z) (log.f64 z)) (*.f64 x 1/2))
(+.f64 (fma.f64 x 1/2 y) (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))
(+.f64 (*.f64 y 1/2) (*.f64 x (+.f64 (-.f64 1 z) (log.f64 z))))
(fma.f64 y 1/2 (*.f64 x (+.f64 (-.f64 1 z) (log.f64 z))))
(fma.f64 x (+.f64 (-.f64 1 z) (log.f64 z)) (*.f64 1/2 y))
(fma.f64 1/2 y (fma.f64 x (-.f64 (log.f64 z) z) x))
(+.f64 (*.f64 z 1/2) (*.f64 y (+.f64 (-.f64 1 x) (log.f64 x))))
(fma.f64 z 1/2 (*.f64 y (+.f64 (-.f64 1 x) (log.f64 x))))
(fma.f64 1/2 z (*.f64 y (+.f64 (-.f64 1 x) (log.f64 x))))
(fma.f64 y (+.f64 (-.f64 1 x) (log.f64 x)) (*.f64 1/2 z))
(+.f64 (fma.f64 1/2 z y) (*.f64 y (-.f64 (log.f64 x) x)))
(fma.f64 1/2 z (fma.f64 y (-.f64 (log.f64 x) x) y))
(+.f64 (*.f64 x 1/2) (*.f64 z (+.f64 (-.f64 1 y) (log.f64 y))))
(fma.f64 x 1/2 (*.f64 z (+.f64 (-.f64 1 y) (log.f64 y))))
(+.f64 (fma.f64 x 1/2 z) (*.f64 z (-.f64 (log.f64 y) y)))
(fma.f64 x 1/2 (fma.f64 z (-.f64 (log.f64 y) y) z))
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify41.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
982×fma-def_binary64
790×fma-neg_binary64
274×sub-neg_binary64
221×associate--r+_binary64
216×distribute-rgt-in_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01216
12916
26516
314316
433614
571814
6124014
7188114
8283314
9332314
10442514
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(+.f64 (*.f64 x 1/2) (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
Outputs
(+.f64 (*.f64 x 1/2) (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
(fma.f64 x 1/2 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
(fma.f64 y (+.f64 (-.f64 1 z) (log.f64 z)) (*.f64 x 1/2))
(fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.1b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶0.1b
(fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))
Compiler

Compiled 51 to 31 computations (39.2% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))
✓0.0b
(-.f64 (log.f64 z) z)
✓0.2b
(fma.f64 y (-.f64 (log.f64 z) z) y)

series57.0ms (1.6%)

Counts
3 → 69
Calls

18 calls:

TimeVariablePointExpression
32.0ms
y
@0
(fma.f64 y (-.f64 (log.f64 z) z) y)
7.0ms
y
@-inf
(fma.f64 y (-.f64 (log.f64 z) z) y)
5.0ms
x
@0
(fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))
3.0ms
z
@0
(fma.f64 y (-.f64 (log.f64 z) z) y)
2.0ms
z
@-inf
(fma.f64 y (-.f64 (log.f64 z) z) y)

rewrite62.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
472×prod-diff_binary64
425×log-prod_binary64
221×fma-def_binary64
175×expm1-udef_binary64
175×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0930
118930
2241530
Stop Event
1×node limit
Counts
3 → 150
Calls
Call 1
Inputs
(fma.f64 y (-.f64 (log.f64 z) z) y)
(-.f64 (log.f64 z) z)
(fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 y (-.f64 (log.f64 z) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (-.f64 (log.f64 z) z)) y)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 y (-.f64 (log.f64 z) z) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y (-.f64 (log.f64 z) z)) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) z) y))) (cbrt.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) z) y))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y (-.f64 (log.f64 z) z) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y (-.f64 (log.f64 z) z) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)) (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)) 2) (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)) (sqrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y (-.f64 (log.f64 z) z)) 3) (pow.f64 y 3)) (fma.f64 (*.f64 y (-.f64 (log.f64 z) z)) (*.f64 y (-.f64 (log.f64 z) z)) (-.f64 (*.f64 y y) (*.f64 (*.f64 y (-.f64 (log.f64 z) z)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 y (-.f64 (log.f64 z) z)) (*.f64 y (-.f64 (log.f64 z) z)) (neg.f64 (*.f64 y y))) (fma.f64 y (-.f64 (log.f64 z) z) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (-.f64 (log.f64 z) z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 y) (exp.f64 (*.f64 y (-.f64 (log.f64 z) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 y)) (exp.f64 (*.f64 y (-.f64 (log.f64 z) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 y (-.f64 (log.f64 z) z))) (+.f64 1 (expm1.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 z) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 z) (*.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 z) z) (fma.f64 (neg.f64 z) 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 z) z) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 z) z) (+.f64 (neg.f64 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 z) z) (fma.f64 -1 z z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 z) z) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 z) (log.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (log.f64 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (/.f64 z (exp.f64 z))) (cbrt.f64 (/.f64 z (exp.f64 z))))) (log.f64 (cbrt.f64 (/.f64 z (exp.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 z (exp.f64 z)))) (log.f64 (sqrt.f64 (/.f64 z (exp.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log.f64 z) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log.f64 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) (pow.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) 2) (cbrt.f64 (-.f64 (log.f64 z) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log.f64 z) z)) (sqrt.f64 (-.f64 (log.f64 z) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 z 3)) (/.f64 1 (fma.f64 z (+.f64 z (log.f64 z)) (pow.f64 (log.f64 z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 z z)) (/.f64 1 (+.f64 z (log.f64 z))))))) (#(struct:change #<rule 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(-.f64 z 1)) (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 z (+.f64 1 (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (-.f64 z 1)) (+.f64 1 (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (-.f64 z 1)) (exp.f64 (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 z (/.f64 1 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (-.f64 z 1)) (/.f64 1 (exp.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (neg.f64 z)) z))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (/.f64 1 (exp.f64 z)) z))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (neg.f64 z)) (+.f64 1 (-.f64 z 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (/.f64 1 (exp.f64 z)) (+.f64 1 (-.f64 z 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log.f64 z) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log.f64 z) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (log.f64 z) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 z) 1 (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 z) 1 (*.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (log.f64 z) z) 1 (fma.f64 (neg.f64 z) 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (log.f64 z) z) 1 (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (log.f64 z) z) 1 (+.f64 (neg.f64 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 z) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 z) (*.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (log.f64 z) z) (fma.f64 (neg.f64 z) 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (log.f64 z) z) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (log.f64 z) z) (+.f64 (neg.f64 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 z) (log.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) (pow.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) 2) (fma.f64 (neg.f64 z) 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) (pow.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) 2) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) (pow.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) 2) (+.f64 (neg.f64 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) 2) (cbrt.f64 (-.f64 (log.f64 z) z)) (fma.f64 (neg.f64 z) 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) 2) (cbrt.f64 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z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (log.f64 z) z)) (sqrt.f64 (-.f64 (log.f64 z) z)) (fma.f64 (neg.f64 (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (log.f64 z) z)) (sqrt.f64 (-.f64 (log.f64 z) z)) (+.f64 (neg.f64 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)) (log.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 z)) (sqrt.f64 (log.f64 z)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 z)) (sqrt.f64 (log.f64 z)) (*.f64 (neg.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 z 3)) (/.f64 1 (fma.f64 z (+.f64 z (log.f64 z)) (pow.f64 (log.f64 z) 2))) (fma.f64 (neg.f64 z) 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 z 3)) (/.f64 1 (fma.f64 z (+.f64 z (log.f64 z)) (pow.f64 (log.f64 z) 2))) (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 (log.f64 z) 3) (pow.f64 z 3)) (/.f64 1 (fma.f64 z (+.f64 z (log.f64 z)) (pow.f64 (log.f64 z) 2))) (+.f64 (neg.f64 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 z z)) (/.f64 1 (+.f64 z (log.f64 z))) (fma.f64 (neg.f64 z) 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 z z)) (/.f64 1 (+.f64 z (log.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 (pow.f64 (log.f64 z) 2) (*.f64 z z)) (/.f64 1 (+.f64 z (log.f64 z))) (+.f64 (neg.f64 z) z))))) (#(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)) (log.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)) (log.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z) (log.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 z (log.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (log.f64 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (log.f64 z)) (sqrt.f64 z)) (fma.f64 (neg.f64 z) 1 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (log.f64 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (log.f64 z)) (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 (log.f64 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (log.f64 z)) (sqrt.f64 z)) (+.f64 (neg.f64 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (log.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log.f64 z) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (log.f64 z) z)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/2) (fma.f64 y (-.f64 (log.f64 z) z) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 1/2) 1) (fma.f64 y (-.f64 (log.f64 z) z) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 1/2 (*.f64 y (-.f64 (log.f64 z) z))) y)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y)))) (cbrt.f64 (exp.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))) 2) (cbrt.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))) (sqrt.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) 3)) (fma.f64 (*.f64 x 1/2) (*.f64 x 1/2) (-.f64 (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) 2) (*.f64 (*.f64 x 1/2) (fma.f64 y (-.f64 (log.f64 z) z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) 2)) (-.f64 (*.f64 x 1/2) (fma.f64 y (-.f64 (log.f64 z) z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)) (exp.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 y (-.f64 (log.f64 z) z) y))) (exp.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 x 1/2)) (+.f64 1 (expm1.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))))))))

simplify52.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
533×sub-neg_binary64
489×fma-def_binary64
365×unsub-neg_binary64
261×associate--l-_binary64
203×distribute-neg-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
051926
1152819
2384717
31063717
43037717
54447717
Stop Event
1×node limit
Counts
219 → 175
Calls
Call 1
Inputs
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 -1 (*.f64 y (-.f64 z (+.f64 1 (log.f64 z)))))
(*.f64 -1 (*.f64 y (-.f64 z (+.f64 1 (log.f64 z)))))
(*.f64 -1 (*.f64 y (-.f64 z (+.f64 1 (log.f64 z)))))
(*.f64 -1 (*.f64 y (-.f64 z (+.f64 1 (log.f64 z)))))
(+.f64 (*.f64 (log.f64 z) y) y)
(-.f64 (+.f64 (*.f64 (log.f64 z) y) y) (*.f64 y z))
(-.f64 (+.f64 (*.f64 (log.f64 z) y) y) (*.f64 y z))
(-.f64 (+.f64 (*.f64 (log.f64 z) y) y) (*.f64 y z))
(*.f64 -1 (*.f64 y z))
(-.f64 y (+.f64 (*.f64 (log.f64 (/.f64 1 z)) y) (*.f64 y z)))
(-.f64 y (+.f64 (*.f64 (log.f64 (/.f64 1 z)) y) (*.f64 y z)))
(-.f64 y (+.f64 (*.f64 (log.f64 (/.f64 1 z)) y) (*.f64 y z)))
(*.f64 -1 (*.f64 y z))
(-.f64 (+.f64 y (*.f64 y (log.f64 -1))) (+.f64 (*.f64 y (log.f64 (/.f64 -1 z))) (*.f64 y z)))
(-.f64 (+.f64 y (*.f64 y (log.f64 -1))) (+.f64 (*.f64 y (log.f64 (/.f64 -1 z))) (*.f64 y z)))
(-.f64 (+.f64 y (*.f64 y (log.f64 -1))) (+.f64 (*.f64 y (log.f64 (/.f64 -1 z))) (*.f64 y z)))
(log.f64 z)
(*.f64 -1 z)
(neg.f64 (+.f64 (log.f64 (/.f64 1 z)) z))
(neg.f64 (+.f64 (log.f64 (/.f64 1 z)) z))
(neg.f64 (+.f64 (log.f64 (/.f64 1 z)) z))
(*.f64 -1 z)
(-.f64 (log.f64 -1) (+.f64 (log.f64 (/.f64 -1 z)) z))
(-.f64 (log.f64 -1) (+.f64 (log.f64 (/.f64 -1 z)) z))
(-.f64 (log.f64 -1) (+.f64 (log.f64 (/.f64 -1 z)) z))
(-.f64 (+.f64 (*.f64 (log.f64 z) y) y) (*.f64 y z))
(-.f64 (+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x))) (*.f64 y z))
(-.f64 (+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x))) (*.f64 y z))
(-.f64 (+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x))) (*.f64 y z))
(*.f64 1/2 x)
(-.f64 (+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x))) (*.f64 y z))
(-.f64 (+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x))) (*.f64 y z))
(-.f64 (+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x))) (*.f64 y z))
(*.f64 1/2 x)
(-.f64 (+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x))) (*.f64 y z))
(-.f64 (+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x))) (*.f64 y z))
(-.f64 (+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x))) (*.f64 y z))
(*.f64 1/2 x)
(-.f64 (+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x))) (*.f64 y z))
(-.f64 (+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x))) (*.f64 y z))
(-.f64 (+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x))) (*.f64 y z))
(*.f64 y (-.f64 (+.f64 (log.f64 z) 1) z))
(-.f64 (+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x))) (*.f64 y z))
(-.f64 (+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x))) (*.f64 y z))
(-.f64 (+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x))) (*.f64 y z))
(*.f64 -1 (*.f64 (-.f64 z (+.f64 (log.f64 z) 1)) y))
(-.f64 (+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x))) (*.f64 y z))
(-.f64 (+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x))) (*.f64 y z))
(-.f64 (+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x))) (*.f64 y z))
(+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x)))
(-.f64 (+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x))) (*.f64 y z))
(-.f64 (+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x))) (*.f64 y z))
(-.f64 (+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x))) (*.f64 y z))
(*.f64 -1 (*.f64 y z))
(-.f64 (+.f64 y (*.f64 1/2 x)) (+.f64 (*.f64 (log.f64 (/.f64 1 z)) y) (*.f64 y z)))
(-.f64 (+.f64 y (*.f64 1/2 x)) (+.f64 (*.f64 (log.f64 (/.f64 1 z)) y) (*.f64 y z)))
(-.f64 (+.f64 y (*.f64 1/2 x)) (+.f64 (*.f64 (log.f64 (/.f64 1 z)) y) (*.f64 y z)))
(*.f64 -1 (*.f64 y z))
(-.f64 (+.f64 y (+.f64 (*.f64 y (log.f64 -1)) (*.f64 1/2 x))) (+.f64 (*.f64 y (log.f64 (/.f64 -1 z))) (*.f64 y z)))
(-.f64 (+.f64 y (+.f64 (*.f64 y (log.f64 -1)) (*.f64 1/2 x))) (+.f64 (*.f64 y (log.f64 (/.f64 -1 z))) (*.f64 y z)))
(-.f64 (+.f64 y (+.f64 (*.f64 y (log.f64 -1)) (*.f64 1/2 x))) (+.f64 (*.f64 y (log.f64 (/.f64 -1 z))) (*.f64 y z)))
Outputs
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
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prune148.0ms (4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1705175
Fresh000
Picked101
Done000
Total1715176
Error
0.0b
Counts
176 → 5
Alt Table
StatusErrorProgram
31.4b
(fma.f64 x 1/2 (pow.f64 (sqrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)) 2))
▶0.1b
(-.f64 (+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x))) (*.f64 y z))
0.7b
(fma.f64 x 1/2 (*.f64 (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)) (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)) 2)))
26.9b
(fma.f64 x 1/2 (fma.f64 y (+.f64 (log.f64 (*.f64 (cbrt.f64 (/.f64 z (exp.f64 z))) (cbrt.f64 (/.f64 z (exp.f64 z))))) (log.f64 (cbrt.f64 (/.f64 z (exp.f64 z))))) y))
0.3b
(fma.f64 x 1/2 (fma.f64 y (fma.f64 (cbrt.f64 (log.f64 z)) (cbrt.f64 (pow.f64 (log.f64 z) 2)) (neg.f64 z)) y))
Compiler

Compiled 3152 to 1280 computations (59.4% saved)

localize11.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x)))
✓0.3b
(*.f64 (log.f64 z) y)

series33.0ms (0.9%)

Counts
2 → 22
Calls

15 calls:

TimeVariablePointExpression
10.0ms
z
@-inf
(*.f64 (log.f64 z) y)
8.0ms
z
@0
(*.f64 (log.f64 z) y)
5.0ms
z
@inf
(*.f64 (log.f64 z) y)
4.0ms
y
@0
(*.f64 (log.f64 z) y)
1.0ms
y
@inf
(*.f64 (log.f64 z) y)

rewrite51.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
551×fma-def_binary64
292×fma-neg_binary64
201×expm1-udef_binary64
201×log1p-udef_binary64
165×log-pow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01019
121917
2308117
Stop Event
1×node limit
Counts
2 → 101
Calls
Call 1
Inputs
(*.f64 (log.f64 z) y)
(+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 z) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 z) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (log.f64 z) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (log.f64 z) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log.f64 z) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (log.f64 z) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 z y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (log.f64 z) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (log.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 z) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (log.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 z y) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (log.f64 z) y (fma.f64 1/2 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 (log.f64 z) y) 2) (-.f64 (*.f64 (log.f64 z) y) (fma.f64 1/2 x y))) (/.f64 (pow.f64 (fma.f64 1/2 x y) 2) (-.f64 (*.f64 (log.f64 z) y) (fma.f64 1/2 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (log.f64 z) y (fma.f64 1/2 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (log.f64 z) y (fma.f64 1/2 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (log.f64 z) y (fma.f64 1/2 x y))) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 z) y (fma.f64 1/2 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 z) y (fma.f64 1/2 x y))) 2) (cbrt.f64 (fma.f64 (log.f64 z) y (fma.f64 1/2 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (log.f64 z) y (fma.f64 1/2 x y))) (sqrt.f64 (fma.f64 (log.f64 z) y (fma.f64 1/2 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 (log.f64 z) y) 3) (pow.f64 (fma.f64 1/2 x y) 3)) (/.f64 1 (fma.f64 (fma.f64 1/2 x y) (-.f64 (fma.f64 1/2 x y) (*.f64 (log.f64 z) y)) (pow.f64 (*.f64 (log.f64 z) y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 (log.f64 z) y) 2) (pow.f64 (fma.f64 1/2 x y) 2)) (/.f64 1 (-.f64 (*.f64 (log.f64 z) y) (fma.f64 1/2 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (fma.f64 1/2 x y) (-.f64 (fma.f64 1/2 x y) (*.f64 (log.f64 z) y)) (pow.f64 (*.f64 (log.f64 z) y) 2)) (+.f64 (pow.f64 (*.f64 (log.f64 z) y) 3) (pow.f64 (fma.f64 1/2 x y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 (log.f64 z) y) (fma.f64 1/2 x y)) (-.f64 (pow.f64 (*.f64 (log.f64 z) y) 2) (pow.f64 (fma.f64 1/2 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (log.f64 z) y) 3) (pow.f64 (fma.f64 1/2 x y) 3)) (fma.f64 (fma.f64 1/2 x y) (-.f64 (fma.f64 1/2 x y) (*.f64 (log.f64 z) y)) (pow.f64 (*.f64 (log.f64 z) y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (log.f64 z) y) 3) (pow.f64 (fma.f64 1/2 x y) 3)) (+.f64 (pow.f64 (fma.f64 1/2 x y) 2) (-.f64 (pow.f64 (*.f64 (log.f64 z) y) 2) (*.f64 (log.f64 z) (*.f64 y (fma.f64 1/2 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (log.f64 z) y) 2) (pow.f64 (fma.f64 1/2 x y) 2)) (-.f64 (*.f64 (log.f64 z) y) (fma.f64 1/2 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (log.f64 z) y) 3) (pow.f64 (fma.f64 1/2 x y) 3))) (neg.f64 (fma.f64 (fma.f64 1/2 x y) (-.f64 (fma.f64 1/2 x y) (*.f64 (log.f64 z) y)) (pow.f64 (*.f64 (log.f64 z) y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (log.f64 z) y) 2) (pow.f64 (fma.f64 1/2 x y) 2))) (neg.f64 (-.f64 (*.f64 (log.f64 z) y) (fma.f64 1/2 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 (log.f64 z) y y) 3) (*.f64 1/8 (pow.f64 x 3))) (fma.f64 (fma.f64 (log.f64 z) y y) (fma.f64 (log.f64 z) y y) (-.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (fma.f64 (log.f64 z) y y) (*.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 1/2 x y) 2) (pow.f64 (*.f64 (log.f64 z) y) 2)) (-.f64 (fma.f64 1/2 x y) (*.f64 (log.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (fma.f64 (log.f64 z) y y) (fma.f64 (log.f64 z) y y)) (*.f64 1/4 (*.f64 x x))) (-.f64 (fma.f64 (log.f64 z) y y) (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (log.f64 z) y (fma.f64 1/2 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (log.f64 z) y (fma.f64 1/2 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (log.f64 z) y (fma.f64 1/2 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (log.f64 z) y (fma.f64 1/2 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (log.f64 z) y (fma.f64 1/2 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 z y) (exp.f64 (fma.f64 1/2 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (log.f64 z) y (fma.f64 1/2 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (-.f64 (pow.f64 z y) 1)) (exp.f64 (fma.f64 1/2 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 z y) (+.f64 1 (expm1.f64 (fma.f64 1/2 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (-.f64 (pow.f64 z y) 1)) (+.f64 1 (expm1.f64 (fma.f64 1/2 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 1/2) x) (exp.f64 (fma.f64 (log.f64 z) y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 x))) (exp.f64 (fma.f64 (log.f64 z) y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 1/2) x) (*.f64 (pow.f64 z y) (exp.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 x))) (*.f64 (pow.f64 z y) (exp.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x y))) (pow.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 1/2 x y)) (+.f64 1 (-.f64 (pow.f64 z y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x y))) (+.f64 1 (-.f64 (pow.f64 z y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (*.f64 (pow.f64 z y) (exp.f64 y)) (pow.f64 (exp.f64 1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 (log.f64 z) y y)) (+.f64 1 (expm1.f64 (*.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (*.f64 (pow.f64 z y) (exp.f64 y)) (+.f64 1 (expm1.f64 (*.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (log.f64 z) y (fma.f64 1/2 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (log.f64 z) y (fma.f64 1/2 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (log.f64 z) y (fma.f64 1/2 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 z) y (fma.f64 1/2 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (log.f64 z) (fma.f64 1/2 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 1 (fma.f64 1/2 x (*.f64 (log.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (+.f64 (log.f64 z) 1) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log.f64 z) y) 1 (fma.f64 1/2 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 x (fma.f64 (log.f64 z) y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (fma.f64 (log.f64 z) y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 x) 1 (fma.f64 (log.f64 z) y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/2 x y) 1 (*.f64 (log.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (fma.f64 1/2 x (*.f64 (log.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (log.f64 z) y) (fma.f64 1/2 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/2 x) (fma.f64 (log.f64 z) y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 1/2 x y) (*.f64 (log.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (log.f64 z) y y) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/2 x)) (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (fma.f64 (log.f64 z) y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/2 x)) (fma.f64 (log.f64 z) y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (log.f64 z) y)) (pow.f64 (cbrt.f64 (*.f64 (log.f64 z) y)) 2) (fma.f64 1/2 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 z) y)) 2) (cbrt.f64 (*.f64 (log.f64 z) y)) (fma.f64 1/2 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 1/2 x y)) (pow.f64 (cbrt.f64 (fma.f64 1/2 x y)) 2) (*.f64 (log.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x y)) 2) (cbrt.f64 (fma.f64 1/2 x y)) (*.f64 (log.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 z)) 2) (*.f64 (cbrt.f64 (log.f64 z)) y) (fma.f64 1/2 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2) (fma.f64 (log.f64 z) y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2) (fma.f64 1/2 x (*.f64 (log.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (fma.f64 1/2 x (*.f64 (log.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (log.f64 z)) (fma.f64 1/2 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (fma.f64 (log.f64 z) y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (log.f64 z) y)) (sqrt.f64 (*.f64 (log.f64 z) y)) (fma.f64 1/2 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 1/2 x y)) (sqrt.f64 (fma.f64 1/2 x y)) (*.f64 (log.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 z)) (*.f64 (sqrt.f64 (log.f64 z)) y) (fma.f64 1/2 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) (fma.f64 (log.f64 z) y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (fma.f64 1/2 x (*.f64 (log.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (log.f64 z)) (fma.f64 1/2 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 1 (fma.f64 (*.f64 1/2 x) (-.f64 (*.f64 1/2 x) y) (*.f64 y y))) (*.f64 (log.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 y y) (*.f64 1/4 (*.f64 x x))) (/.f64 1 (+.f64 y (*.f64 -1/2 x))) (*.f64 (log.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (log.f64 z) y y) 1 (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 (log.f64 z) y y)) (cbrt.f64 (fma.f64 (log.f64 z) y y))) (cbrt.f64 (fma.f64 (log.f64 z) y y)) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (log.f64 z) y y)) (sqrt.f64 (fma.f64 (log.f64 z) y y)) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (log.f64 z) 1) y (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 (log.f64 z) y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 (log.f64 z) y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log.f64 z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (fma.f64 1/2 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log.f64 z) (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 1/2 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (log.f64 z)) 2)) (cbrt.f64 (log.f64 z)) (fma.f64 1/2 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 (log.f64 z))) (sqrt.f64 (log.f64 z)) (fma.f64 1/2 x y))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (log.f64 z) y (fma.f64 1/2 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (log.f64 z) y (fma.f64 1/2 x y))))))))

simplify45.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
538×fma-def_binary64
462×unsub-neg_binary64
326×distribute-neg-in_binary64
234×sub-neg_binary64
199×+-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
029249
175185
2147169
3397169
4992169
52663169
63822169
74921169
Stop Event
1×node limit
Counts
123 → 110
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 z)) y))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 z)) y))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 z)) y))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 z)) y))
(*.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))))
(*.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))))
(*.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))))
(*.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))))
(-.f64 (+.f64 y (*.f64 1/2 x)) (*.f64 (log.f64 (/.f64 1 z)) y))
(-.f64 (+.f64 y (*.f64 1/2 x)) (*.f64 (log.f64 (/.f64 1 z)) y))
(-.f64 (+.f64 y (*.f64 1/2 x)) (*.f64 (log.f64 (/.f64 1 z)) y))
(-.f64 (+.f64 y (*.f64 1/2 x)) (*.f64 (log.f64 (/.f64 1 z)) y))
(-.f64 (+.f64 y (+.f64 (*.f64 y (log.f64 -1)) (*.f64 1/2 x))) (*.f64 (log.f64 (/.f64 -1 z)) y))
(-.f64 (+.f64 y (+.f64 (*.f64 y (log.f64 -1)) (*.f64 1/2 x))) (*.f64 (log.f64 (/.f64 -1 z)) y))
(-.f64 (+.f64 y (+.f64 (*.f64 y (log.f64 -1)) (*.f64 1/2 x))) (*.f64 (log.f64 (/.f64 -1 z)) y))
(-.f64 (+.f64 y (+.f64 (*.f64 y (log.f64 -1)) (*.f64 1/2 x))) (*.f64 (log.f64 (/.f64 -1 z)) y))
(*.f64 1/2 x)
(*.f64 y (+.f64 1 (log.f64 z)))
(*.f64 y (+.f64 1 (log.f64 z)))
(+.f64 (*.f64 (log.f64 z) y) y)
(*.f64 1/2 x)
(*.f64 1/2 x)
Outputs
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 z)) y))
(neg.f64 (*.f64 (neg.f64 (log.f64 z)) y))
(*.f64 y (log.f64 z))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 z)) y))
(neg.f64 (*.f64 (neg.f64 (log.f64 z)) y))
(*.f64 y (log.f64 z))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 z)) y))
(neg.f64 (*.f64 (neg.f64 (log.f64 z)) y))
(*.f64 y (log.f64 z))
(*.f64 -1 (*.f64 (log.f64 (/.f64 1 z)) y))
(neg.f64 (*.f64 (neg.f64 (log.f64 z)) y))
(*.f64 y (log.f64 z))
(*.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))))
(neg.f64 (*.f64 (neg.f64 (log.f64 z)) y))
(*.f64 y (log.f64 z))
(*.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))))
(neg.f64 (*.f64 (neg.f64 (log.f64 z)) y))
(*.f64 y (log.f64 z))
(*.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))))
(neg.f64 (*.f64 (neg.f64 (log.f64 z)) y))
(*.f64 y (log.f64 z))
(*.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))))
(neg.f64 (*.f64 (neg.f64 (log.f64 z)) y))
(*.f64 y (log.f64 z))
(-.f64 (+.f64 y (*.f64 1/2 x)) (*.f64 (log.f64 (/.f64 1 z)) y))
(+.f64 y (-.f64 (*.f64 1/2 x) (*.f64 (neg.f64 (log.f64 z)) y)))
(+.f64 (*.f64 1/2 x) (fma.f64 y (log.f64 z) y))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x y))
(-.f64 (+.f64 y (*.f64 1/2 x)) (*.f64 (log.f64 (/.f64 1 z)) y))
(+.f64 y (-.f64 (*.f64 1/2 x) (*.f64 (neg.f64 (log.f64 z)) y)))
(+.f64 (*.f64 1/2 x) (fma.f64 y (log.f64 z) y))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x y))
(-.f64 (+.f64 y (*.f64 1/2 x)) (*.f64 (log.f64 (/.f64 1 z)) y))
(+.f64 y (-.f64 (*.f64 1/2 x) (*.f64 (neg.f64 (log.f64 z)) y)))
(+.f64 (*.f64 1/2 x) (fma.f64 y (log.f64 z) y))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x y))
(-.f64 (+.f64 y (*.f64 1/2 x)) (*.f64 (log.f64 (/.f64 1 z)) y))
(+.f64 y (-.f64 (*.f64 1/2 x) (*.f64 (neg.f64 (log.f64 z)) y)))
(+.f64 (*.f64 1/2 x) (fma.f64 y (log.f64 z) y))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x y))
(-.f64 (+.f64 y (+.f64 (*.f64 y (log.f64 -1)) (*.f64 1/2 x))) (*.f64 (log.f64 (/.f64 -1 z)) y))
(+.f64 y (-.f64 (*.f64 1/2 x) (*.f64 (neg.f64 (log.f64 z)) y)))
(+.f64 (*.f64 1/2 x) (fma.f64 y (log.f64 z) y))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x y))
(-.f64 (+.f64 y (+.f64 (*.f64 y (log.f64 -1)) (*.f64 1/2 x))) (*.f64 (log.f64 (/.f64 -1 z)) y))
(+.f64 y (-.f64 (*.f64 1/2 x) (*.f64 (neg.f64 (log.f64 z)) y)))
(+.f64 (*.f64 1/2 x) (fma.f64 y (log.f64 z) y))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x y))
(-.f64 (+.f64 y (+.f64 (*.f64 y (log.f64 -1)) (*.f64 1/2 x))) (*.f64 (log.f64 (/.f64 -1 z)) y))
(+.f64 y (-.f64 (*.f64 1/2 x) (*.f64 (neg.f64 (log.f64 z)) y)))
(+.f64 (*.f64 1/2 x) (fma.f64 y (log.f64 z) y))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x y))
(-.f64 (+.f64 y (+.f64 (*.f64 y (log.f64 -1)) (*.f64 1/2 x))) (*.f64 (log.f64 (/.f64 -1 z)) y))
(+.f64 y (-.f64 (*.f64 1/2 x) (*.f64 (neg.f64 (log.f64 z)) y)))
(+.f64 (*.f64 1/2 x) (fma.f64 y (log.f64 z) y))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x y))
(*.f64 1/2 x)
(*.f64 y (+.f64 1 (log.f64 z)))
(fma.f64 (log.f64 z) y y)
(fma.f64 y (log.f64 z) y)
(*.f64 y (+.f64 1 (log.f64 z)))
(fma.f64 (log.f64 z) y y)
(fma.f64 y (log.f64 z) y)
(+.f64 (*.f64 (log.f64 z) y) y)
(fma.f64 (log.f64 z) y y)
(fma.f64 y (log.f64 z) y)
(*.f64 1/2 x)
(*.f64 1/2 x)

prune171.0ms (4.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1028110
Fresh314
Picked101
Done000
Total1069115
Error
0.0b
Counts
115 → 9
Alt Table
StatusErrorProgram
0.4b
(-.f64 (fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (log.f64 z)) (fma.f64 1/2 x y)) (*.f64 y z))
1.0b
(-.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 z) y (fma.f64 1/2 x y))) 3) (*.f64 y z))
32.8b
(-.f64 (fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (log.f64 z)) (fma.f64 1/2 x y)) (*.f64 y z))
0.3b
(fma.f64 x 1/2 (fma.f64 y (fma.f64 (cbrt.f64 (log.f64 z)) (cbrt.f64 (pow.f64 (log.f64 z) 2)) (neg.f64 z)) y))
0.4b
(-.f64 (fma.f64 (cbrt.f64 (*.f64 (log.f64 z) y)) (pow.f64 (cbrt.f64 (*.f64 (log.f64 z) y)) 2) (fma.f64 1/2 x y)) (*.f64 y z))
19.4b
(-.f64 (+.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 z) y) 3)) (+.f64 y (*.f64 1/2 x))) (*.f64 y z))
0.4b
(-.f64 (fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (log.f64 z)) 2)) (cbrt.f64 (log.f64 z)) (fma.f64 1/2 x y)) (*.f64 y z))
32.6b
(-.f64 (+.f64 (pow.f64 (sqrt.f64 (*.f64 (log.f64 z) y)) 2) (+.f64 y (*.f64 1/2 x))) (*.f64 y z))
▶0.1b
(-.f64 (fma.f64 y (+.f64 (log.f64 z) 1) (*.f64 1/2 x)) (*.f64 y z))
Compiler

Compiled 2437 to 1128 computations (53.7% saved)

localize11.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (log.f64 z) 1)
✓0.1b
(fma.f64 y (+.f64 (log.f64 z) 1) (*.f64 1/2 x))

series5.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite49.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
860×log1p-expm1-u_binary64
860×expm1-log1p-u_binary64
100×add-sqr-sqrt_binary64
96×*-un-lft-identity_binary64
96×pow1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01019
120019
2234619
Stop Event
1×node limit
Counts
2 → 55
Calls
Call 1
Inputs
(fma.f64 y (+.f64 (log.f64 z) 1) (*.f64 1/2 x))
(+.f64 (log.f64 z) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 x) (+.f64 y (*.f64 (log.f64 z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 y (*.f64 (log.f64 z) y)) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 y (*.f64 (log.f64 z) y)) 1) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y (+.f64 (log.f64 z) 1) (*.f64 1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y (+.f64 (log.f64 z) 1) (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y (+.f64 (log.f64 z) 1) (*.f64 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y (+.f64 (log.f64 z) 1) (*.f64 1/2 x))) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 (log.f64 z) 1) (*.f64 1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 (log.f64 z) 1) (*.f64 1/2 x))) 2) (cbrt.f64 (fma.f64 y (+.f64 (log.f64 z) 1) (*.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y (+.f64 (log.f64 z) 1) (*.f64 1/2 x))) (sqrt.f64 (fma.f64 y (+.f64 (log.f64 z) 1) (*.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 y (*.f64 (log.f64 z) y)) 3) (pow.f64 (*.f64 1/2 x) 3)) (+.f64 (*.f64 (+.f64 y (*.f64 (log.f64 z) y)) (+.f64 y (*.f64 (log.f64 z) y))) (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (+.f64 y (*.f64 (log.f64 z) y)) (*.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 y (*.f64 (log.f64 z) y)) (+.f64 y (*.f64 (log.f64 z) y))) (*.f64 (*.f64 x x) 1/4)) (-.f64 (+.f64 y (*.f64 (log.f64 z) y)) (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y (+.f64 (log.f64 z) 1) (*.f64 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (+.f64 (log.f64 z) 1) (*.f64 1/2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y (+.f64 (log.f64 z) 1) (*.f64 1/2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y (+.f64 (log.f64 z) 1) (*.f64 1/2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y (+.f64 (log.f64 z) 1) (*.f64 1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y (+.f64 (log.f64 z) 1) (*.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (+.f64 (log.f64 z) 1) (*.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y (+.f64 (log.f64 z) 1) (*.f64 1/2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y (+.f64 (log.f64 z) 1) (*.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 y (+.f64 (log.f64 z) 1) (*.f64 1/2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y (+.f64 (log.f64 z) 1) (*.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y (+.f64 (log.f64 z) 1) (*.f64 1/2 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (log.f64 z) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (log.f64 z) 2) (+.f64 (log.f64 z) -1)) (/.f64 1 (+.f64 (log.f64 z) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (log.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (log.f64 z) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (log.f64 z) 1)) (pow.f64 (cbrt.f64 (+.f64 (log.f64 z) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 z) 1)) 2) (cbrt.f64 (+.f64 (log.f64 z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (log.f64 z) 1)) (sqrt.f64 (+.f64 (log.f64 z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (log.f64 z) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 z) 2) (-.f64 1 (log.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (log.f64 z) 2) -1) (/.f64 1 (+.f64 (log.f64 z) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 z) 2) (-.f64 1 (log.f64 z))) (+.f64 1 (pow.f64 (log.f64 z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (log.f64 z) -1) (+.f64 (pow.f64 (log.f64 z) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (log.f64 z) 3)) (+.f64 (pow.f64 (log.f64 z) 2) (-.f64 1 (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (log.f64 z) 3)) (+.f64 1 (-.f64 (pow.f64 (log.f64 z) 2) (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 z) 2) -1) (+.f64 (log.f64 z) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (log.f64 z) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 z) 2) (-.f64 1 (log.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 z) 2) -1)) (neg.f64 (+.f64 (log.f64 z) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (log.f64 z) 2)) (-.f64 1 (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (log.f64 z) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (log.f64 z) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (log.f64 z) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (log.f64 z) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (log.f64 z) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 z (E.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (*.f64 z (E.f64)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (log.f64 z) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (log.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) (cbrt.f64 (log.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 z)) (sqrt.f64 (log.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (log.f64 z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (*.f64 z (E.f64)) 1))))))

simplify54.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
570×fma-def_binary64
566×unsub-neg_binary64
314×distribute-neg-in_binary64
270×sub-neg_binary64
218×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031495
178435
2159435
3409435
41036435
52866435
63953435
74669435
Stop Event
1×node limit
Counts
103 → 67
Calls
Call 1
Inputs
(*.f64 1/2 x)
(+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x)))
(+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x)))
(+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x)))
(*.f64 y (+.f64 (log.f64 z) 1))
(+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x)))
(+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x)))
(+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x)))
(*.f64 y (+.f64 (log.f64 z) 1))
(+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x)))
(+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x)))
(+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x)))
(+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x)))
(+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x)))
(+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x)))
(+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x)))
(-.f64 (+.f64 y (*.f64 1/2 x)) (*.f64 (log.f64 (/.f64 1 z)) y))
(-.f64 (+.f64 y (*.f64 1/2 x)) (*.f64 (log.f64 (/.f64 1 z)) y))
(-.f64 (+.f64 y (*.f64 1/2 x)) (*.f64 (log.f64 (/.f64 1 z)) y))
(-.f64 (+.f64 y (*.f64 1/2 x)) (*.f64 (log.f64 (/.f64 1 z)) y))
(-.f64 (+.f64 y (+.f64 (*.f64 y (log.f64 -1)) (*.f64 1/2 x))) (*.f64 (log.f64 (/.f64 -1 z)) y))
(-.f64 (+.f64 y (+.f64 (*.f64 y (log.f64 -1)) (*.f64 1/2 x))) (*.f64 (log.f64 (/.f64 -1 z)) y))
(-.f64 (+.f64 y (+.f64 (*.f64 y (log.f64 -1)) (*.f64 1/2 x))) (*.f64 (log.f64 (/.f64 -1 z)) y))
(-.f64 (+.f64 y (+.f64 (*.f64 y (log.f64 -1)) (*.f64 1/2 x))) (*.f64 (log.f64 (/.f64 -1 z)) y))
(+.f64 (*.f64 (log.f64 z) y) y)
(+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x)))
(+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x)))
(+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x)))
(*.f64 1/2 x)
(+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x)))
(+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x)))
(+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x)))
(*.f64 1/2 x)
(+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x)))
(+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x)))
(+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x)))
(+.f64 1 (log.f64 z))
(+.f64 1 (log.f64 z))
(+.f64 1 (log.f64 z))
(+.f64 1 (log.f64 z))
(-.f64 1 (log.f64 (/.f64 1 z)))
(-.f64 1 (log.f64 (/.f64 1 z)))
(-.f64 1 (log.f64 (/.f64 1 z)))
(-.f64 1 (log.f64 (/.f64 1 z)))
(-.f64 (+.f64 1 (log.f64 -1)) (log.f64 (/.f64 -1 z)))
(-.f64 (+.f64 1 (log.f64 -1)) (log.f64 (/.f64 -1 z)))
(-.f64 (+.f64 1 (log.f64 -1)) (log.f64 (/.f64 -1 z)))
(-.f64 (+.f64 1 (log.f64 -1)) (log.f64 (/.f64 -1 z)))
Outputs
(*.f64 1/2 x)
(+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x)))
(+.f64 (fma.f64 (log.f64 z) y y) (*.f64 1/2 x))
(fma.f64 (log.f64 z) y (fma.f64 1/2 x y))
(fma.f64 1/2 x (fma.f64 (log.f64 z) y y))
(+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x)))
(+.f64 (fma.f64 (log.f64 z) y y) (*.f64 1/2 x))
(fma.f64 (log.f64 z) y (fma.f64 1/2 x y))
(fma.f64 1/2 x (fma.f64 (log.f64 z) y y))
(+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x)))
(+.f64 (fma.f64 (log.f64 z) y y) (*.f64 1/2 x))
(fma.f64 (log.f64 z) y (fma.f64 1/2 x y))
(fma.f64 1/2 x (fma.f64 (log.f64 z) y y))
(*.f64 y (+.f64 (log.f64 z) 1))
(fma.f64 (log.f64 z) y y)
(+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x)))
(+.f64 (fma.f64 (log.f64 z) y y) (*.f64 1/2 x))
(fma.f64 (log.f64 z) y (fma.f64 1/2 x y))
(fma.f64 1/2 x (fma.f64 (log.f64 z) y y))
(+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x)))
(+.f64 (fma.f64 (log.f64 z) y y) (*.f64 1/2 x))
(fma.f64 (log.f64 z) y (fma.f64 1/2 x y))
(fma.f64 1/2 x (fma.f64 (log.f64 z) y y))
(+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x)))
(+.f64 (fma.f64 (log.f64 z) y y) (*.f64 1/2 x))
(fma.f64 (log.f64 z) y (fma.f64 1/2 x y))
(fma.f64 1/2 x (fma.f64 (log.f64 z) y y))
(*.f64 y (+.f64 (log.f64 z) 1))
(fma.f64 (log.f64 z) y y)
(+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x)))
(+.f64 (fma.f64 (log.f64 z) y y) (*.f64 1/2 x))
(fma.f64 (log.f64 z) y (fma.f64 1/2 x y))
(fma.f64 1/2 x (fma.f64 (log.f64 z) y y))
(+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x)))
(+.f64 (fma.f64 (log.f64 z) y y) (*.f64 1/2 x))
(fma.f64 (log.f64 z) y (fma.f64 1/2 x y))
(fma.f64 1/2 x (fma.f64 (log.f64 z) y y))
(+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x)))
(+.f64 (fma.f64 (log.f64 z) y y) (*.f64 1/2 x))
(fma.f64 (log.f64 z) y (fma.f64 1/2 x y))
(fma.f64 1/2 x (fma.f64 (log.f64 z) y y))
(+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x)))
(+.f64 (fma.f64 (log.f64 z) y y) (*.f64 1/2 x))
(fma.f64 (log.f64 z) y (fma.f64 1/2 x y))
(fma.f64 1/2 x (fma.f64 (log.f64 z) y y))
(+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x)))
(+.f64 (fma.f64 (log.f64 z) y y) (*.f64 1/2 x))
(fma.f64 (log.f64 z) y (fma.f64 1/2 x y))
(fma.f64 1/2 x (fma.f64 (log.f64 z) y y))
(+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x)))
(+.f64 (fma.f64 (log.f64 z) y y) (*.f64 1/2 x))
(fma.f64 (log.f64 z) y (fma.f64 1/2 x y))
(fma.f64 1/2 x (fma.f64 (log.f64 z) y y))
(+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x)))
(+.f64 (fma.f64 (log.f64 z) y y) (*.f64 1/2 x))
(fma.f64 (log.f64 z) y (fma.f64 1/2 x y))
(fma.f64 1/2 x (fma.f64 (log.f64 z) y y))
(-.f64 (+.f64 y (*.f64 1/2 x)) (*.f64 (log.f64 (/.f64 1 z)) y))
(+.f64 (fma.f64 (log.f64 z) y y) (*.f64 1/2 x))
(fma.f64 (log.f64 z) y (fma.f64 1/2 x y))
(fma.f64 1/2 x (fma.f64 (log.f64 z) y y))
(-.f64 (+.f64 y (*.f64 1/2 x)) (*.f64 (log.f64 (/.f64 1 z)) y))
(+.f64 (fma.f64 (log.f64 z) y y) (*.f64 1/2 x))
(fma.f64 (log.f64 z) y (fma.f64 1/2 x y))
(fma.f64 1/2 x (fma.f64 (log.f64 z) y y))
(-.f64 (+.f64 y (*.f64 1/2 x)) (*.f64 (log.f64 (/.f64 1 z)) y))
(+.f64 (fma.f64 (log.f64 z) y y) (*.f64 1/2 x))
(fma.f64 (log.f64 z) y (fma.f64 1/2 x y))
(fma.f64 1/2 x (fma.f64 (log.f64 z) y y))
(-.f64 (+.f64 y (*.f64 1/2 x)) (*.f64 (log.f64 (/.f64 1 z)) y))
(+.f64 (fma.f64 (log.f64 z) y y) (*.f64 1/2 x))
(fma.f64 (log.f64 z) y (fma.f64 1/2 x y))
(fma.f64 1/2 x (fma.f64 (log.f64 z) y y))
(-.f64 (+.f64 y (+.f64 (*.f64 y (log.f64 -1)) (*.f64 1/2 x))) (*.f64 (log.f64 (/.f64 -1 z)) y))
(+.f64 (fma.f64 (log.f64 z) y y) (*.f64 1/2 x))
(fma.f64 (log.f64 z) y (fma.f64 1/2 x y))
(fma.f64 1/2 x (fma.f64 (log.f64 z) y y))
(-.f64 (+.f64 y (+.f64 (*.f64 y (log.f64 -1)) (*.f64 1/2 x))) (*.f64 (log.f64 (/.f64 -1 z)) y))
(+.f64 (fma.f64 (log.f64 z) y y) (*.f64 1/2 x))
(fma.f64 (log.f64 z) y (fma.f64 1/2 x y))
(fma.f64 1/2 x (fma.f64 (log.f64 z) y y))
(-.f64 (+.f64 y (+.f64 (*.f64 y (log.f64 -1)) (*.f64 1/2 x))) (*.f64 (log.f64 (/.f64 -1 z)) y))
(+.f64 (fma.f64 (log.f64 z) y y) (*.f64 1/2 x))
(fma.f64 (log.f64 z) y (fma.f64 1/2 x y))
(fma.f64 1/2 x (fma.f64 (log.f64 z) y y))
(-.f64 (+.f64 y (+.f64 (*.f64 y (log.f64 -1)) (*.f64 1/2 x))) (*.f64 (log.f64 (/.f64 -1 z)) y))
(+.f64 (fma.f64 (log.f64 z) y y) (*.f64 1/2 x))
(fma.f64 (log.f64 z) y (fma.f64 1/2 x y))
(fma.f64 1/2 x (fma.f64 (log.f64 z) y y))
(+.f64 (*.f64 (log.f64 z) y) y)
(fma.f64 (log.f64 z) y y)
(+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x)))
(+.f64 (fma.f64 (log.f64 z) y y) (*.f64 1/2 x))
(fma.f64 (log.f64 z) y (fma.f64 1/2 x y))
(fma.f64 1/2 x (fma.f64 (log.f64 z) y y))
(+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x)))
(+.f64 (fma.f64 (log.f64 z) y y) (*.f64 1/2 x))
(fma.f64 (log.f64 z) y (fma.f64 1/2 x y))
(fma.f64 1/2 x (fma.f64 (log.f64 z) y y))
(+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x)))
(+.f64 (fma.f64 (log.f64 z) y y) (*.f64 1/2 x))
(fma.f64 (log.f64 z) y (fma.f64 1/2 x y))
(fma.f64 1/2 x (fma.f64 (log.f64 z) y y))
(*.f64 1/2 x)
(+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x)))
(+.f64 (fma.f64 (log.f64 z) y y) (*.f64 1/2 x))
(fma.f64 (log.f64 z) y (fma.f64 1/2 x y))
(fma.f64 1/2 x (fma.f64 (log.f64 z) y y))
(+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x)))
(+.f64 (fma.f64 (log.f64 z) y y) (*.f64 1/2 x))
(fma.f64 (log.f64 z) y (fma.f64 1/2 x y))
(fma.f64 1/2 x (fma.f64 (log.f64 z) y y))
(+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x)))
(+.f64 (fma.f64 (log.f64 z) y y) (*.f64 1/2 x))
(fma.f64 (log.f64 z) y (fma.f64 1/2 x y))
(fma.f64 1/2 x (fma.f64 (log.f64 z) y y))
(*.f64 1/2 x)
(+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x)))
(+.f64 (fma.f64 (log.f64 z) y y) (*.f64 1/2 x))
(fma.f64 (log.f64 z) y (fma.f64 1/2 x y))
(fma.f64 1/2 x (fma.f64 (log.f64 z) y y))
(+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x)))
(+.f64 (fma.f64 (log.f64 z) y y) (*.f64 1/2 x))
(fma.f64 (log.f64 z) y (fma.f64 1/2 x y))
(fma.f64 1/2 x (fma.f64 (log.f64 z) y y))
(+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x)))
(+.f64 (fma.f64 (log.f64 z) y y) (*.f64 1/2 x))
(fma.f64 (log.f64 z) y (fma.f64 1/2 x y))
(fma.f64 1/2 x (fma.f64 (log.f64 z) y y))
(+.f64 1 (log.f64 z))
(+.f64 (log.f64 z) 1)
(+.f64 1 (log.f64 z))
(+.f64 (log.f64 z) 1)
(+.f64 1 (log.f64 z))
(+.f64 (log.f64 z) 1)
(+.f64 1 (log.f64 z))
(+.f64 (log.f64 z) 1)
(-.f64 1 (log.f64 (/.f64 1 z)))
(+.f64 (log.f64 z) 1)
(-.f64 1 (log.f64 (/.f64 1 z)))
(+.f64 (log.f64 z) 1)
(-.f64 1 (log.f64 (/.f64 1 z)))
(+.f64 (log.f64 z) 1)
(-.f64 1 (log.f64 (/.f64 1 z)))
(+.f64 (log.f64 z) 1)
(-.f64 (+.f64 1 (log.f64 -1)) (log.f64 (/.f64 -1 z)))
(+.f64 (log.f64 z) 1)
(-.f64 (+.f64 1 (log.f64 -1)) (log.f64 (/.f64 -1 z)))
(+.f64 (log.f64 z) 1)
(-.f64 (+.f64 1 (log.f64 -1)) (log.f64 (/.f64 -1 z)))
(+.f64 (log.f64 z) 1)
(-.f64 (+.f64 1 (log.f64 -1)) (log.f64 (/.f64 -1 z)))
(+.f64 (log.f64 z) 1)

prune142.0ms (3.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New67067
Fresh088
Picked011
Done000
Total67976
Error
0.0b
Counts
76 → 9
Alt Table
StatusErrorProgram
0.4b
(-.f64 (fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (log.f64 z)) (fma.f64 1/2 x y)) (*.f64 y z))
1.0b
(-.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 z) y (fma.f64 1/2 x y))) 3) (*.f64 y z))
32.8b
(-.f64 (fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (log.f64 z)) (fma.f64 1/2 x y)) (*.f64 y z))
▶0.3b
(fma.f64 x 1/2 (fma.f64 y (fma.f64 (cbrt.f64 (log.f64 z)) (cbrt.f64 (pow.f64 (log.f64 z) 2)) (neg.f64 z)) y))
0.4b
(-.f64 (fma.f64 (cbrt.f64 (*.f64 (log.f64 z) y)) (pow.f64 (cbrt.f64 (*.f64 (log.f64 z) y)) 2) (fma.f64 1/2 x y)) (*.f64 y z))
19.4b
(-.f64 (+.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 z) y) 3)) (+.f64 y (*.f64 1/2 x))) (*.f64 y z))
0.4b
(-.f64 (fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (log.f64 z)) 2)) (cbrt.f64 (log.f64 z)) (fma.f64 1/2 x y)) (*.f64 y z))
32.6b
(-.f64 (+.f64 (pow.f64 (sqrt.f64 (*.f64 (log.f64 z) y)) 2) (+.f64 y (*.f64 1/2 x))) (*.f64 y z))
✓0.1b
(-.f64 (fma.f64 y (+.f64 (log.f64 z) 1) (*.f64 1/2 x)) (*.f64 y z))
Compiler

Compiled 1555 to 852 computations (45.2% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(fma.f64 y (fma.f64 (cbrt.f64 (log.f64 z)) (cbrt.f64 (pow.f64 (log.f64 z) 2)) (neg.f64 z)) y)
✓0.5b
(cbrt.f64 (pow.f64 (log.f64 z) 2))
✓0.5b
(pow.f64 (log.f64 z) 2)
✓0.5b
(cbrt.f64 (log.f64 z))

series21.0ms (0.6%)

Counts
4 → 56
Calls

15 calls:

TimeVariablePointExpression
5.0ms
y
@0
(fma.f64 y (fma.f64 (cbrt.f64 (log.f64 z)) (cbrt.f64 (pow.f64 (log.f64 z) 2)) (neg.f64 z)) y)
2.0ms
z
@inf
(cbrt.f64 (log.f64 z))
2.0ms
z
@0
(cbrt.f64 (log.f64 z))
2.0ms
z
@-inf
(cbrt.f64 (pow.f64 (log.f64 z) 2))
2.0ms
z
@-inf
(cbrt.f64 (log.f64 z))

rewrite66.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
776×log1p-expm1-u_binary64
776×expm1-log1p-u_binary64
105×add-sqr-sqrt_binary64
101×pow1_binary64
100×*-un-lft-identity_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01141
121929
2249629
Stop Event
1×node limit
Counts
4 → 92
Calls
Call 1
Inputs
(cbrt.f64 (log.f64 z))
(pow.f64 (log.f64 z) 2)
(cbrt.f64 (pow.f64 (log.f64 z) 2))
(fma.f64 y (fma.f64 (cbrt.f64 (log.f64 z)) (cbrt.f64 (pow.f64 (log.f64 z) 2)) (neg.f64 z)) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log.f64 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 z))) 2) (cbrt.f64 (cbrt.f64 (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (log.f64 z))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 z) 1/6) (pow.f64 (log.f64 z) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 z) 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 z))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (log.f64 z)) 1/3) (pow.f64 (sqrt.f64 (log.f64 z)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 z) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 z) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (log.f64 z)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 z) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 z)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 z))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 z) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 z) (log.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 z) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 z)) 2) (cbrt.f64 (pow.f64 (log.f64 z) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (log.f64 z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 z) 4)) (pow.f64 (cbrt.f64 (log.f64 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 z)) (*.f64 (sqrt.f64 (log.f64 z)) (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 z) (sqrt.f64 (log.f64 z))) (sqrt.f64 (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 z) (pow.f64 (cbrt.f64 (log.f64 z)) 2)) (cbrt.f64 (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 z) 4)) 1) (pow.f64 (cbrt.f64 (log.f64 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 z) 4)) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 z) 4)))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 z) 4)) (cbrt.f64 (log.f64 z))) (cbrt.f64 (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 z) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 z (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (log.f64 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (log.f64 z) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log.f64 z)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 z)) (cbrt.f64 (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 z)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (log.f64 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 z))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 z) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 z))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 z))) (cbrt.f64 (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 z) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 z)) (pow.f64 (log.f64 z) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 z) 1/6) (*.f64 (pow.f64 (log.f64 z) 1/6) (cbrt.f64 (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 (log.f64 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 z) 4)) 1/3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (log.f64 z)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 z))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 z) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 z) 2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (log.f64 z)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 z))) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 z) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (log.f64 z)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (cbrt.f64 (log.f64 z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 z))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (log.f64 z)) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log.f64 z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (log.f64 z)) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 y (+.f64 z (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (+.f64 z (log.f64 z))) y)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y (+.f64 z (log.f64 z))) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y (+.f64 z (log.f64 z)) y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y (+.f64 z (log.f64 z)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y (+.f64 z (log.f64 z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y (+.f64 z (log.f64 z)) y)) (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 z (log.f64 z)) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 z (log.f64 z)) y)) 2) (cbrt.f64 (fma.f64 y (+.f64 z (log.f64 z)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y (+.f64 z (log.f64 z)) y)) (sqrt.f64 (fma.f64 y (+.f64 z (log.f64 z)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y (+.f64 z (log.f64 z))) 3) (pow.f64 y 3)) (+.f64 (*.f64 (*.f64 y (+.f64 z (log.f64 z))) (*.f64 y (+.f64 z (log.f64 z)))) (-.f64 (*.f64 y y) (*.f64 (*.f64 y (+.f64 z (log.f64 z))) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 y (+.f64 z (log.f64 z))) (*.f64 y (+.f64 z (log.f64 z)))) (*.f64 y y)) (-.f64 (*.f64 y (+.f64 z (log.f64 z))) y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y (+.f64 z (log.f64 z)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (+.f64 z (log.f64 z)) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y (+.f64 z (log.f64 z)) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y (+.f64 z (log.f64 z)) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y (+.f64 z (log.f64 z)) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y (+.f64 z (log.f64 z)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (+.f64 z (log.f64 z)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y (+.f64 z (log.f64 z)) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y (+.f64 z (log.f64 z)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 y (+.f64 z (log.f64 z)) y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y (+.f64 z (log.f64 z)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y (+.f64 z (log.f64 z)) y)))))))

simplify47.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
817×fma-neg_binary64
349×fma-def_binary64
215×associate-*l*_binary64
212×associate-*r*_binary64
176×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
045543
1136527
2320488
3939482
43105482
Stop Event
1×node limit
Counts
148 → 113
Calls
Call 1
Inputs
(pow.f64 (log.f64 z) 1/3)
(pow.f64 (log.f64 z) 1/3)
(pow.f64 (log.f64 z) 1/3)
(pow.f64 (log.f64 z) 1/3)
(*.f64 (pow.f64 (log.f64 (/.f64 1 z)) 1/3) (cbrt.f64 -1))
(*.f64 (pow.f64 (log.f64 (/.f64 1 z)) 1/3) (cbrt.f64 -1))
(*.f64 (pow.f64 (log.f64 (/.f64 1 z)) 1/3) (cbrt.f64 -1))
(*.f64 (pow.f64 (log.f64 (/.f64 1 z)) 1/3) (cbrt.f64 -1))
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 1/3)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 1/3)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 1/3)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 1/3)
(pow.f64 (log.f64 (/.f64 1 z)) 2)
(pow.f64 (log.f64 (/.f64 1 z)) 2)
(pow.f64 (log.f64 (/.f64 1 z)) 2)
(pow.f64 (log.f64 (/.f64 1 z)) 2)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 2)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 2)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 2)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 2)
(pow.f64 (pow.f64 (log.f64 z) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 z) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 z) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 z) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (/.f64 1 z)) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (/.f64 1 z)) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (/.f64 1 z)) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 (/.f64 1 z)) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 2) 1/3)
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 -1 (*.f64 y (-.f64 z (+.f64 1 (log.f64 z)))))
(*.f64 -1 (*.f64 y (-.f64 z (+.f64 1 (log.f64 z)))))
(*.f64 -1 (*.f64 y (-.f64 z (+.f64 1 (log.f64 z)))))
(*.f64 -1 (*.f64 y (-.f64 z (+.f64 1 (log.f64 z)))))
(+.f64 (*.f64 (log.f64 z) y) y)
(-.f64 (+.f64 (*.f64 (log.f64 z) y) y) (*.f64 y z))
(-.f64 (+.f64 (*.f64 (log.f64 z) y) y) (*.f64 y z))
(-.f64 (+.f64 (*.f64 (log.f64 z) y) y) (*.f64 y z))
(*.f64 -1 (*.f64 y z))
(-.f64 (+.f64 (*.f64 (log.f64 (/.f64 1 z)) (*.f64 y (cbrt.f64 -1))) y) (*.f64 y z))
(-.f64 (+.f64 (*.f64 (log.f64 (/.f64 1 z)) (*.f64 y (cbrt.f64 -1))) y) (*.f64 y z))
(-.f64 (+.f64 (*.f64 (log.f64 (/.f64 1 z)) (*.f64 y (cbrt.f64 -1))) y) (*.f64 y z))
(*.f64 -1 (*.f64 y z))
(-.f64 (+.f64 y (*.f64 y (log.f64 -1))) (+.f64 (*.f64 y (log.f64 (/.f64 -1 z))) (*.f64 y z)))
(-.f64 (+.f64 y (*.f64 y (log.f64 -1))) (+.f64 (*.f64 y (log.f64 (/.f64 -1 z))) (*.f64 y z)))
(-.f64 (+.f64 y (*.f64 y (log.f64 -1))) (+.f64 (*.f64 y (log.f64 (/.f64 -1 z))) (*.f64 y z)))
Outputs
(pow.f64 (log.f64 z) 1/3)
(cbrt.f64 (log.f64 z))
(pow.f64 (log.f64 z) 1/3)
(cbrt.f64 (log.f64 z))
(pow.f64 (log.f64 z) 1/3)
(cbrt.f64 (log.f64 z))
(pow.f64 (log.f64 z) 1/3)
(cbrt.f64 (log.f64 z))
(*.f64 (pow.f64 (log.f64 (/.f64 1 z)) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (neg.f64 (log.f64 z))) (cbrt.f64 -1))
(*.f64 (pow.f64 (log.f64 (/.f64 1 z)) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (neg.f64 (log.f64 z))) (cbrt.f64 -1))
(*.f64 (pow.f64 (log.f64 (/.f64 1 z)) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (neg.f64 (log.f64 z))) (cbrt.f64 -1))
(*.f64 (pow.f64 (log.f64 (/.f64 1 z)) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (neg.f64 (log.f64 z))) (cbrt.f64 -1))
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 1/3)
(cbrt.f64 (log.f64 z))
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 1/3)
(cbrt.f64 (log.f64 z))
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 1/3)
(cbrt.f64 (log.f64 z))
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 1/3)
(cbrt.f64 (log.f64 z))
(pow.f64 (log.f64 (/.f64 1 z)) 2)
(pow.f64 (neg.f64 (log.f64 z)) 2)
(pow.f64 (log.f64 z) 2)
(pow.f64 (log.f64 (/.f64 1 z)) 2)
(pow.f64 (neg.f64 (log.f64 z)) 2)
(pow.f64 (log.f64 z) 2)
(pow.f64 (log.f64 (/.f64 1 z)) 2)
(pow.f64 (neg.f64 (log.f64 z)) 2)
(pow.f64 (log.f64 z) 2)
(pow.f64 (log.f64 (/.f64 1 z)) 2)
(pow.f64 (neg.f64 (log.f64 z)) 2)
(pow.f64 (log.f64 z) 2)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 2)
(pow.f64 (neg.f64 (log.f64 z)) 2)
(pow.f64 (log.f64 z) 2)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 2)
(pow.f64 (neg.f64 (log.f64 z)) 2)
(pow.f64 (log.f64 z) 2)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 2)
(pow.f64 (neg.f64 (log.f64 z)) 2)
(pow.f64 (log.f64 z) 2)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 2)
(pow.f64 (neg.f64 (log.f64 z)) 2)
(pow.f64 (log.f64 z) 2)
(pow.f64 (pow.f64 (log.f64 z) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 z) 2))
(pow.f64 (pow.f64 (log.f64 z) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 z) 2))
(pow.f64 (pow.f64 (log.f64 z) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 z) 2))
(pow.f64 (pow.f64 (log.f64 z) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 z) 2))
(pow.f64 (pow.f64 (log.f64 (/.f64 1 z)) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 z) 2))
(pow.f64 (pow.f64 (log.f64 (/.f64 1 z)) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 z) 2))
(pow.f64 (pow.f64 (log.f64 (/.f64 1 z)) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 z) 2))
(pow.f64 (pow.f64 (log.f64 (/.f64 1 z)) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 z) 2))
(pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 z) 2))
(pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 z) 2))
(pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 z) 2))
(pow.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 z) 2))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(*.f64 -1 (*.f64 y (-.f64 z (+.f64 1 (log.f64 z)))))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(*.f64 -1 (*.f64 y (-.f64 z (+.f64 1 (log.f64 z)))))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(*.f64 -1 (*.f64 y (-.f64 z (+.f64 1 (log.f64 z)))))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(*.f64 -1 (*.f64 y (-.f64 z (+.f64 1 (log.f64 z)))))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(+.f64 (*.f64 (log.f64 z) y) y)
(fma.f64 (log.f64 z) y y)
(-.f64 (+.f64 (*.f64 (log.f64 z) y) y) (*.f64 y z))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(-.f64 (+.f64 (*.f64 (log.f64 z) y) y) (*.f64 y z))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(-.f64 (+.f64 (*.f64 (log.f64 z) y) y) (*.f64 y z))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 z y))
(*.f64 z (neg.f64 y))
(-.f64 (+.f64 (*.f64 (log.f64 (/.f64 1 z)) (*.f64 y (cbrt.f64 -1))) y) (*.f64 y z))
(-.f64 (fma.f64 (neg.f64 (log.f64 z)) (*.f64 (cbrt.f64 -1) y) y) (*.f64 z y))
(+.f64 y (*.f64 y (-.f64 (*.f64 (neg.f64 (log.f64 z)) (cbrt.f64 -1)) z)))
(*.f64 y (-.f64 (fma.f64 (neg.f64 (log.f64 z)) (cbrt.f64 -1) 1) z))
(-.f64 (+.f64 (*.f64 (log.f64 (/.f64 1 z)) (*.f64 y (cbrt.f64 -1))) y) (*.f64 y z))
(-.f64 (fma.f64 (neg.f64 (log.f64 z)) (*.f64 (cbrt.f64 -1) y) y) (*.f64 z y))
(+.f64 y (*.f64 y (-.f64 (*.f64 (neg.f64 (log.f64 z)) (cbrt.f64 -1)) z)))
(*.f64 y (-.f64 (fma.f64 (neg.f64 (log.f64 z)) (cbrt.f64 -1) 1) z))
(-.f64 (+.f64 (*.f64 (log.f64 (/.f64 1 z)) (*.f64 y (cbrt.f64 -1))) y) (*.f64 y z))
(-.f64 (fma.f64 (neg.f64 (log.f64 z)) (*.f64 (cbrt.f64 -1) y) y) (*.f64 z y))
(+.f64 y (*.f64 y (-.f64 (*.f64 (neg.f64 (log.f64 z)) (cbrt.f64 -1)) z)))
(*.f64 y (-.f64 (fma.f64 (neg.f64 (log.f64 z)) (cbrt.f64 -1) 1) z))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 z y))
(*.f64 z (neg.f64 y))
(-.f64 (+.f64 y (*.f64 y (log.f64 -1))) (+.f64 (*.f64 y (log.f64 (/.f64 -1 z))) (*.f64 y z)))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(-.f64 (+.f64 y (*.f64 y (log.f64 -1))) (+.f64 (*.f64 y (log.f64 (/.f64 -1 z))) (*.f64 y z)))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(-.f64 (+.f64 y (*.f64 y (log.f64 -1))) (+.f64 (*.f64 y (log.f64 (/.f64 -1 z))) (*.f64 y z)))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)

prune141.0ms (3.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1121113
Fresh167
Picked011
Done011
Total1139122
Error
0.0b
Counts
122 → 9
Alt Table
StatusErrorProgram
32.8b
(-.f64 (fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (log.f64 z)) (fma.f64 1/2 x y)) (*.f64 y z))
✓0.3b
(fma.f64 x 1/2 (fma.f64 y (fma.f64 (cbrt.f64 (log.f64 z)) (cbrt.f64 (pow.f64 (log.f64 z) 2)) (neg.f64 z)) y))
17.9b
(fma.f64 x 1/2 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 z (log.f64 z)) y)) 3))
0.4b
(-.f64 (fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (log.f64 z)) (fma.f64 1/2 x y)) (*.f64 y z))
0.4b
(-.f64 (fma.f64 (cbrt.f64 (*.f64 (log.f64 z) y)) (pow.f64 (cbrt.f64 (*.f64 (log.f64 z) y)) 2) (fma.f64 1/2 x y)) (*.f64 y z))
19.4b
(-.f64 (+.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 z) y) 3)) (+.f64 y (*.f64 1/2 x))) (*.f64 y z))
0.4b
(-.f64 (fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (log.f64 z)) 2)) (cbrt.f64 (log.f64 z)) (fma.f64 1/2 x y)) (*.f64 y z))
32.6b
(-.f64 (+.f64 (pow.f64 (sqrt.f64 (*.f64 (log.f64 z) y)) 2) (+.f64 y (*.f64 1/2 x))) (*.f64 y z))
✓0.1b
(-.f64 (fma.f64 y (+.f64 (log.f64 z) 1) (*.f64 1/2 x)) (*.f64 y z))
Compiler

Compiled 2332 to 1062 computations (54.5% saved)

regimes877.0ms (24%)

Accuracy

Total 0.1b remaining (72.1%)

Threshold costs 0.1b (72.1%)

Counts
148 → 1
Compiler

Compiled 2151 to 874 computations (59.4% saved)

simplify3.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01219
12219
23319
33919
44319
54419
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (fma.f64 y (+.f64 (log.f64 z) 1) (*.f64 1/2 x)) (*.f64 y z))
Outputs
(-.f64 (fma.f64 y (+.f64 (log.f64 z) 1) (*.f64 1/2 x)) (*.f64 y z))

end134.0ms (3.7%)

Stop Event
1×fuel
Compiler

Compiled 210 to 135 computations (35.7% saved)

Profiling

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