Details

Time bar (total: 3.2s)

analyze365.0ms (11.4%)

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
0%99.9%0.1%6
6.2%49.9%43.8%7
9.4%46.8%43.8%8
14%39%47%9
18.7%30%51.2%10
21.8%26.7%51.4%11
25.9%21.8%52.2%12
29.4%16.6%54.1%13
31.4%14.3%54.2%14
Compiler

Compiled 16 to 12 computations (25% saved)

sample1.2s (36.5%)

Results
1.1s8256×body128valid
43.0ms373×body128invalid
Compiler

Compiled 32 to 24 computations (25% saved)

preprocess76.0ms (2.4%)

Algorithm
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
saturated
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)

simplify40.0ms (1.3%)

Algorithm
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
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)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series54.0ms (1.7%)

Counts
3 → 69
Calls

18 calls:

TimeVariablePointExpression
30.0ms
y
@0
(fma.f64 y (-.f64 (log.f64 z) z) y)
10.0ms
y
@-inf
(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)
2.0ms
x
@0
(fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))

rewrite61.0ms (1.9%)

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

simplify52.0ms (1.6%)

Algorithm
egg-herbie
Rules
535×sub-neg_binary64
489×fma-def_binary64
365×unsub-neg_binary64
256×associate--l-_binary64
206×distribute-neg-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
051926
1152819
2386717
31065717
43043717
54451717
Stop Event
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)))
(-.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)))
(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))
Outputs
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(-.f64 y (*.f64 y (-.f64 z (log.f64 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)))
(-.f64 y (*.f64 y (-.f64 z (log.f64 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)))
(-.f64 y (*.f64 y (-.f64 z (log.f64 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)))
(-.f64 y (*.f64 y (-.f64 z (log.f64 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)))
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prune143.0ms (4.5%)

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
30.3b
(fma.f64 x 1/2 (cbrt.f64 (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) 3)))
0.1b
(-.f64 (+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x))) (*.f64 y z))
0.1b
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))
0.2b
(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))
18.2b
(fma.f64 x 1/2 (fma.f64 y (cbrt.f64 (pow.f64 (-.f64 (log.f64 z) z) 3)) y))
Compiler

Compiled 3104 to 1268 computations (59.1% saved)

localize11.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series4.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

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

rewrite41.0ms (1.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0914
118914
2241614
Stop Event
node limit
Counts
1 → 30
Calls
Call 1
Inputs
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (-.f64 (log.f64 z) z)) (fma.f64 1/2 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y (-.f64 (log.f64 z) z)) 1) (fma.f64 1/2 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y (-.f64 (log.f64 z) z) (*.f64 1/2 x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)))) (cbrt.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))) (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))) 2) (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))) (sqrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y (-.f64 (log.f64 z) z)) 3) (pow.f64 (fma.f64 1/2 x y) 3)) (fma.f64 (*.f64 y (-.f64 (log.f64 z) z)) (*.f64 y (-.f64 (log.f64 z) z)) (-.f64 (pow.f64 (fma.f64 1/2 x y) 2) (*.f64 (*.f64 y (-.f64 (log.f64 z) z)) (fma.f64 1/2 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 y (-.f64 (log.f64 z) z)) (*.f64 y (-.f64 (log.f64 z) z))) (pow.f64 (fma.f64 1/2 x y) 2)) (-.f64 (*.f64 y (-.f64 (log.f64 z) z)) (fma.f64 1/2 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 1/2 x y)) (exp.f64 (*.f64 y (-.f64 (log.f64 z) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x 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 (fma.f64 1/2 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))))))))

simplify33.0ms (1%)

Algorithm
egg-herbie
Rules
856×fma-neg_binary64
448×fma-def_binary64
324×associate-+l-_binary64
275×associate--l+_binary64
251×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
037586
1108530
2301503
3830443
42325443
Stop Event
node limit
Counts
66 → 43
Calls
Call 1
Inputs
(*.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 1 (log.f64 z)) 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 y (-.f64 z (+.f64 1 (log.f64 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 (*.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)))
(-.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))
Outputs
(*.f64 1/2 x)
(-.f64 (+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x))) (*.f64 y z))
(-.f64 (fma.f64 (log.f64 z) y (+.f64 (*.f64 1/2 x) y)) (*.f64 z y))
(-.f64 (fma.f64 (log.f64 z) y (fma.f64 1/2 x y)) (*.f64 z y))
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))
(-.f64 (+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x))) (*.f64 y z))
(-.f64 (fma.f64 (log.f64 z) y (+.f64 (*.f64 1/2 x) y)) (*.f64 z y))
(-.f64 (fma.f64 (log.f64 z) y (fma.f64 1/2 x y)) (*.f64 z y))
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))
(-.f64 (+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x))) (*.f64 y z))
(-.f64 (fma.f64 (log.f64 z) y (+.f64 (*.f64 1/2 x) y)) (*.f64 z y))
(-.f64 (fma.f64 (log.f64 z) y (fma.f64 1/2 x y)) (*.f64 z y))
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x 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)))
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(-.f64 (+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x))) (*.f64 y z))
(-.f64 (fma.f64 (log.f64 z) y (+.f64 (*.f64 1/2 x) y)) (*.f64 z y))
(-.f64 (fma.f64 (log.f64 z) y (fma.f64 1/2 x y)) (*.f64 z y))
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))
(-.f64 (+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x))) (*.f64 y z))
(-.f64 (fma.f64 (log.f64 z) y (+.f64 (*.f64 1/2 x) y)) (*.f64 z y))
(-.f64 (fma.f64 (log.f64 z) y (fma.f64 1/2 x y)) (*.f64 z y))
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))
(-.f64 (+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x))) (*.f64 y z))
(-.f64 (fma.f64 (log.f64 z) y (+.f64 (*.f64 1/2 x) y)) (*.f64 z y))
(-.f64 (fma.f64 (log.f64 z) y (fma.f64 1/2 x y)) (*.f64 z y))
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x 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)))
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(-.f64 (+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x))) (*.f64 y z))
(-.f64 (fma.f64 (log.f64 z) y (+.f64 (*.f64 1/2 x) y)) (*.f64 z y))
(-.f64 (fma.f64 (log.f64 z) y (fma.f64 1/2 x y)) (*.f64 z y))
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))
(-.f64 (+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x))) (*.f64 y z))
(-.f64 (fma.f64 (log.f64 z) y (+.f64 (*.f64 1/2 x) y)) (*.f64 z y))
(-.f64 (fma.f64 (log.f64 z) y (fma.f64 1/2 x y)) (*.f64 z y))
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))
(-.f64 (+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x))) (*.f64 y z))
(-.f64 (fma.f64 (log.f64 z) y (+.f64 (*.f64 1/2 x) y)) (*.f64 z y))
(-.f64 (fma.f64 (log.f64 z) y (fma.f64 1/2 x y)) (*.f64 z y))
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))
(+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x)))
(fma.f64 (log.f64 z) y (+.f64 (*.f64 1/2 x) y))
(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 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x))) (*.f64 y z))
(-.f64 (fma.f64 (log.f64 z) y (+.f64 (*.f64 1/2 x) y)) (*.f64 z y))
(-.f64 (fma.f64 (log.f64 z) y (fma.f64 1/2 x y)) (*.f64 z y))
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))
(-.f64 (+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x))) (*.f64 y z))
(-.f64 (fma.f64 (log.f64 z) y (+.f64 (*.f64 1/2 x) y)) (*.f64 z y))
(-.f64 (fma.f64 (log.f64 z) y (fma.f64 1/2 x y)) (*.f64 z y))
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))
(-.f64 (+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x))) (*.f64 y z))
(-.f64 (fma.f64 (log.f64 z) y (+.f64 (*.f64 1/2 x) y)) (*.f64 z y))
(-.f64 (fma.f64 (log.f64 z) y (fma.f64 1/2 x y)) (*.f64 z y))
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 z y))
(*.f64 z (neg.f64 y))
(-.f64 (+.f64 y (*.f64 1/2 x)) (+.f64 (*.f64 (log.f64 (/.f64 1 z)) y) (*.f64 y z)))
(-.f64 (fma.f64 (log.f64 z) y (+.f64 (*.f64 1/2 x) y)) (*.f64 z y))
(-.f64 (fma.f64 (log.f64 z) y (fma.f64 1/2 x y)) (*.f64 z y))
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))
(-.f64 (+.f64 y (*.f64 1/2 x)) (+.f64 (*.f64 (log.f64 (/.f64 1 z)) y) (*.f64 y z)))
(-.f64 (fma.f64 (log.f64 z) y (+.f64 (*.f64 1/2 x) y)) (*.f64 z y))
(-.f64 (fma.f64 (log.f64 z) y (fma.f64 1/2 x y)) (*.f64 z y))
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))
(-.f64 (+.f64 y (*.f64 1/2 x)) (+.f64 (*.f64 (log.f64 (/.f64 1 z)) y) (*.f64 y z)))
(-.f64 (fma.f64 (log.f64 z) y (+.f64 (*.f64 1/2 x) y)) (*.f64 z y))
(-.f64 (fma.f64 (log.f64 z) y (fma.f64 1/2 x y)) (*.f64 z y))
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 z y))
(*.f64 z (neg.f64 y))
(-.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 (fma.f64 (log.f64 z) y (+.f64 (*.f64 1/2 x) y)) (*.f64 z y))
(-.f64 (fma.f64 (log.f64 z) y (fma.f64 1/2 x y)) (*.f64 z y))
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))
(-.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 (fma.f64 (log.f64 z) y (+.f64 (*.f64 1/2 x) y)) (*.f64 z y))
(-.f64 (fma.f64 (log.f64 z) y (fma.f64 1/2 x y)) (*.f64 z y))
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))
(-.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 (fma.f64 (log.f64 z) y (+.f64 (*.f64 1/2 x) y)) (*.f64 z y))
(-.f64 (fma.f64 (log.f64 z) y (fma.f64 1/2 x y)) (*.f64 z y))
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x 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)))
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(-.f64 (+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x))) (*.f64 y z))
(-.f64 (fma.f64 (log.f64 z) y (+.f64 (*.f64 1/2 x) y)) (*.f64 z y))
(-.f64 (fma.f64 (log.f64 z) y (fma.f64 1/2 x y)) (*.f64 z y))
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))
(-.f64 (+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x))) (*.f64 y z))
(-.f64 (fma.f64 (log.f64 z) y (+.f64 (*.f64 1/2 x) y)) (*.f64 z y))
(-.f64 (fma.f64 (log.f64 z) y (fma.f64 1/2 x y)) (*.f64 z y))
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))
(-.f64 (+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x))) (*.f64 y z))
(-.f64 (fma.f64 (log.f64 z) y (+.f64 (*.f64 1/2 x) y)) (*.f64 z y))
(-.f64 (fma.f64 (log.f64 z) y (fma.f64 1/2 x y)) (*.f64 z y))
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))
(*.f64 1/2 x)
(-.f64 (+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x))) (*.f64 y z))
(-.f64 (fma.f64 (log.f64 z) y (+.f64 (*.f64 1/2 x) y)) (*.f64 z y))
(-.f64 (fma.f64 (log.f64 z) y (fma.f64 1/2 x y)) (*.f64 z y))
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))
(-.f64 (+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x))) (*.f64 y z))
(-.f64 (fma.f64 (log.f64 z) y (+.f64 (*.f64 1/2 x) y)) (*.f64 z y))
(-.f64 (fma.f64 (log.f64 z) y (fma.f64 1/2 x y)) (*.f64 z y))
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))
(-.f64 (+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x))) (*.f64 y z))
(-.f64 (fma.f64 (log.f64 z) y (+.f64 (*.f64 1/2 x) y)) (*.f64 z y))
(-.f64 (fma.f64 (log.f64 z) y (fma.f64 1/2 x y)) (*.f64 z y))
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))
(*.f64 1/2 x)
(-.f64 (+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x))) (*.f64 y z))
(-.f64 (fma.f64 (log.f64 z) y (+.f64 (*.f64 1/2 x) y)) (*.f64 z y))
(-.f64 (fma.f64 (log.f64 z) y (fma.f64 1/2 x y)) (*.f64 z y))
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))
(-.f64 (+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x))) (*.f64 y z))
(-.f64 (fma.f64 (log.f64 z) y (+.f64 (*.f64 1/2 x) y)) (*.f64 z y))
(-.f64 (fma.f64 (log.f64 z) y (fma.f64 1/2 x y)) (*.f64 z y))
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))
(-.f64 (+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x))) (*.f64 y z))
(-.f64 (fma.f64 (log.f64 z) y (+.f64 (*.f64 1/2 x) y)) (*.f64 z y))
(-.f64 (fma.f64 (log.f64 z) y (fma.f64 1/2 x y)) (*.f64 z y))
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))

prune96.0ms (3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1391140
Fresh134
Picked011
Done000
Total1405145
Error
0.0b
Counts
145 → 5
Alt Table
StatusErrorProgram
0.1b
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))
30.3b
(fma.f64 x 1/2 (cbrt.f64 (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) 3)))
0.2b
(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))
0.1b
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
18.2b
(fma.f64 x 1/2 (fma.f64 y (cbrt.f64 (pow.f64 (-.f64 (log.f64 z) z) 3)) y))
Compiler

Compiled 2526 to 1090 computations (56.8% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (log.f64 z) z)
0.1b
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
0.2b
(*.f64 y (-.f64 (log.f64 z) z))

series9.0ms (0.3%)

Counts
2 → 48
Calls

15 calls:

TimeVariablePointExpression
2.0ms
y
@0
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
1.0ms
y
@inf
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
1.0ms
z
@inf
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
1.0ms
x
@0
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
1.0ms
y
@inf
(*.f64 y (-.f64 (log.f64 z) z))

rewrite51.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
522×log-prod_binary64
425×fma-def_binary64
204×fma-neg_binary64
203×expm1-udef_binary64
203×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01025
121823
2302123
Stop Event
node limit
Counts
2 → 86
Calls
Call 1
Inputs
(*.f64 y (-.f64 (log.f64 z) z))
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (-.f64 (log.f64 z) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 z) y) (*.f64 (neg.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (log.f64 z)) (*.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 z (exp.f64 z)) y)) (cbrt.f64 (pow.f64 (/.f64 z (exp.f64 z)) y)))) (log.f64 (cbrt.f64 (pow.f64 (/.f64 z (exp.f64 z)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (/.f64 z (exp.f64 z)) y))) (log.f64 (sqrt.f64 (pow.f64 (/.f64 z (exp.f64 z)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (-.f64 (log.f64 z) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 z 3)) y) (fma.f64 z (+.f64 z (log.f64 z)) (pow.f64 (log.f64 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 z z)) y) (+.f64 z (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 z 3))) (fma.f64 z (+.f64 z (log.f64 z)) (pow.f64 (log.f64 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 z z))) (+.f64 z (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (-.f64 (log.f64 z) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (-.f64 (log.f64 z) z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (-.f64 (log.f64 z) z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (-.f64 (log.f64 z) z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (-.f64 (log.f64 z) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (/.f64 z (exp.f64 z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (-.f64 (log.f64 z) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (-.f64 (log.f64 z) z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (-.f64 (log.f64 z) z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (log.f64 z) (*.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 z) y (*.f64 (neg.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (-.f64 (log.f64 z) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (-.f64 (log.f64 z) z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (-.f64 (log.f64 z) z))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (fma.f64 1/2 x y) 2) (-.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))) (/.f64 (pow.f64 (*.f64 y (-.f64 (log.f64 z) z)) 2) (-.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))) (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))) 2) (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))) (sqrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 1/2 x y) 3) (pow.f64 (*.f64 y (-.f64 (log.f64 z) z)) 3)) (/.f64 1 (fma.f64 (*.f64 y (-.f64 (log.f64 z) z)) (fma.f64 y (-.f64 (log.f64 z) z) (neg.f64 (fma.f64 1/2 x y))) (pow.f64 (fma.f64 1/2 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 1/2 x y) 2) (pow.f64 (*.f64 y (-.f64 (log.f64 z) z)) 2)) (/.f64 1 (-.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 y (-.f64 (log.f64 z) z)) (fma.f64 y (-.f64 (log.f64 z) z) (neg.f64 (fma.f64 1/2 x y))) (pow.f64 (fma.f64 1/2 x y) 2)) (+.f64 (pow.f64 (fma.f64 1/2 x y) 3) (pow.f64 (*.f64 y (-.f64 (log.f64 z) z)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z))) (-.f64 (pow.f64 (fma.f64 1/2 x y) 2) (pow.f64 (*.f64 y (-.f64 (log.f64 z) z)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/2 x y) 3) (pow.f64 (*.f64 y (-.f64 (log.f64 z) z)) 3)) (fma.f64 (*.f64 y (-.f64 (log.f64 z) z)) (fma.f64 y (-.f64 (log.f64 z) z) (neg.f64 (fma.f64 1/2 x y))) (pow.f64 (fma.f64 1/2 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/2 x y) 3) (pow.f64 (*.f64 y (-.f64 (log.f64 z) z)) 3)) (+.f64 (pow.f64 (*.f64 y (-.f64 (log.f64 z) z)) 2) (-.f64 (pow.f64 (fma.f64 1/2 x y) 2) (*.f64 (*.f64 (fma.f64 1/2 x y) y) (-.f64 (log.f64 z) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 1/2 x y) 2) (pow.f64 (*.f64 y (-.f64 (log.f64 z) z)) 2)) (-.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/2 x y) 3) (pow.f64 (*.f64 y (-.f64 (log.f64 z) z)) 3))) (neg.f64 (fma.f64 (*.f64 y (-.f64 (log.f64 z) z)) (fma.f64 y (-.f64 (log.f64 z) z) (neg.f64 (fma.f64 1/2 x y))) (pow.f64 (fma.f64 1/2 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 1/2 x y) 2) (pow.f64 (*.f64 y (-.f64 (log.f64 z) z)) 2))) (neg.f64 (-.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y (-.f64 (log.f64 z) z)) 2) (pow.f64 (fma.f64 1/2 x y) 2)) (fma.f64 y (-.f64 (log.f64 z) z) (neg.f64 (fma.f64 1/2 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 y (-.f64 (log.f64 z) z)))) (exp.f64 (fma.f64 1/2 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (/.f64 z (exp.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 (expm1.f64 (*.f64 y (-.f64 (log.f64 z) z)))) (+.f64 1 (expm1.f64 (fma.f64 1/2 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x y))) (pow.f64 (/.f64 z (exp.f64 z)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 1/2 x y)) (+.f64 1 (expm1.f64 (*.f64 y (-.f64 (log.f64 z) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x y))) (+.f64 1 (expm1.f64 (*.f64 y (-.f64 (log.f64 z) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (log.f64 z) z) y (fma.f64 1/2 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (-.f64 (log.f64 z) z)) 1 (fma.f64 1/2 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 x (+.f64 y (*.f64 y (-.f64 (log.f64 z) z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (+.f64 y (*.f64 y (-.f64 (log.f64 z) z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/2 x y) 1 (*.f64 y (-.f64 (log.f64 z) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y (-.f64 (log.f64 z) z)) (fma.f64 1/2 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) 2) (*.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) y) (fma.f64 1/2 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (-.f64 (log.f64 z) z)) (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 y (-.f64 (log.f64 z) z)))))) (#(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 y (-.f64 (log.f64 z) z)))))) (#(struct:change #<rule egg-rr> 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y)) (sqrt.f64 y) (fma.f64 1/2 x y))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))))))))

simplify44.0ms (1.4%)

Algorithm
egg-herbie
Rules
550×fma-neg_binary64
516×fma-def_binary64
397×associate-+l-_binary64
276×sub-neg_binary64
220×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
040715
1121602
2335602
3909542
42400542
54955542
Stop Event
node limit
Counts
134 → 103
Calls
Call 1
Inputs
(*.f64 (log.f64 z) y)
(-.f64 (*.f64 (log.f64 z) y) (*.f64 y z))
(-.f64 (*.f64 (log.f64 z) y) (*.f64 y z))
(-.f64 (*.f64 (log.f64 z) y) (*.f64 y z))
(*.f64 -1 (*.f64 y z))
(neg.f64 (+.f64 (*.f64 (log.f64 (/.f64 1 z)) y) (*.f64 y z)))
(neg.f64 (+.f64 (*.f64 (log.f64 (/.f64 1 z)) y) (*.f64 y z)))
(neg.f64 (+.f64 (*.f64 (log.f64 (/.f64 1 z)) y) (*.f64 y z)))
(*.f64 -1 (*.f64 y z))
(-.f64 (*.f64 y (log.f64 -1)) (+.f64 (*.f64 y (log.f64 (/.f64 -1 z))) (*.f64 y z)))
(-.f64 (*.f64 y (log.f64 -1)) (+.f64 (*.f64 y (log.f64 (/.f64 -1 z))) (*.f64 y z)))
(-.f64 (*.f64 y (log.f64 -1)) (+.f64 (*.f64 y (log.f64 (/.f64 -1 z))) (*.f64 y 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 (log.f64 z) y)
(-.f64 (*.f64 (log.f64 z) y) (*.f64 y z))
(-.f64 (*.f64 (log.f64 z) y) (*.f64 z y))
(*.f64 y (-.f64 (log.f64 z) z))
(-.f64 (*.f64 (log.f64 z) y) (*.f64 y z))
(-.f64 (*.f64 (log.f64 z) y) (*.f64 z y))
(*.f64 y (-.f64 (log.f64 z) z))
(-.f64 (*.f64 (log.f64 z) y) (*.f64 y z))
(-.f64 (*.f64 (log.f64 z) y) (*.f64 z y))
(*.f64 y (-.f64 (log.f64 z) z))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 z y))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(neg.f64 (+.f64 (*.f64 (log.f64 (/.f64 1 z)) y) (*.f64 y z)))
(-.f64 (*.f64 (log.f64 z) y) (*.f64 z y))
(*.f64 y (-.f64 (log.f64 z) z))
(neg.f64 (+.f64 (*.f64 (log.f64 (/.f64 1 z)) y) (*.f64 y z)))
(-.f64 (*.f64 (log.f64 z) y) (*.f64 z y))
(*.f64 y (-.f64 (log.f64 z) z))
(neg.f64 (+.f64 (*.f64 (log.f64 (/.f64 1 z)) y) (*.f64 y z)))
(-.f64 (*.f64 (log.f64 z) y) (*.f64 z y))
(*.f64 y (-.f64 (log.f64 z) z))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 z y))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(-.f64 (*.f64 y (log.f64 -1)) (+.f64 (*.f64 y (log.f64 (/.f64 -1 z))) (*.f64 y z)))
(-.f64 (*.f64 (log.f64 z) y) (*.f64 z y))
(*.f64 y (-.f64 (log.f64 z) z))
(-.f64 (*.f64 y (log.f64 -1)) (+.f64 (*.f64 y (log.f64 (/.f64 -1 z))) (*.f64 y z)))
(-.f64 (*.f64 (log.f64 z) y) (*.f64 z y))
(*.f64 y (-.f64 (log.f64 z) z))
(-.f64 (*.f64 y (log.f64 -1)) (+.f64 (*.f64 y (log.f64 (/.f64 -1 z))) (*.f64 y z)))
(-.f64 (*.f64 (log.f64 z) y) (*.f64 z y))
(*.f64 y (-.f64 (log.f64 z) z))
(-.f64 (+.f64 (*.f64 (log.f64 z) y) y) (*.f64 y z))
(-.f64 (fma.f64 (log.f64 z) y y) (*.f64 z y))
(+.f64 y (*.f64 y (-.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) (+.f64 y (*.f64 1/2 x))) (*.f64 y z))
(-.f64 (+.f64 (fma.f64 (log.f64 z) y y) (*.f64 1/2 x)) (*.f64 z y))
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))
(-.f64 (+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x))) (*.f64 y z))
(-.f64 (+.f64 (fma.f64 (log.f64 z) y y) (*.f64 1/2 x)) (*.f64 z y))
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))
(-.f64 (+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x))) (*.f64 y z))
(-.f64 (+.f64 (fma.f64 (log.f64 z) y y) (*.f64 1/2 x)) (*.f64 z y))
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))
(*.f64 1/2 x)
(-.f64 (+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x))) (*.f64 y z))
(-.f64 (+.f64 (fma.f64 (log.f64 z) y y) (*.f64 1/2 x)) (*.f64 z y))
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))
(-.f64 (+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x))) (*.f64 y z))
(-.f64 (+.f64 (fma.f64 (log.f64 z) y y) (*.f64 1/2 x)) (*.f64 z y))
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))
(-.f64 (+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x))) (*.f64 y z))
(-.f64 (+.f64 (fma.f64 (log.f64 z) y y) (*.f64 1/2 x)) (*.f64 z y))
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))
(*.f64 1/2 x)
(-.f64 (+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x))) (*.f64 y z))
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(*.f64 y (-.f64 (+.f64 (log.f64 z) 1) z))
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(fma.f64 y (-.f64 (log.f64 z) z) y)
(-.f64 (+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x))) (*.f64 y z))
(-.f64 (+.f64 (fma.f64 (log.f64 z) y y) (*.f64 1/2 x)) (*.f64 z y))
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(-.f64 (+.f64 (*.f64 (log.f64 z) y) (+.f64 y (*.f64 1/2 x))) (*.f64 y z))
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(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))
(*.f64 -1 (*.f64 y z))
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(*.f64 z (neg.f64 y))
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(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))
(-.f64 (+.f64 y (+.f64 (*.f64 y (log.f64 -1)) (*.f64 1/2 x))) (+.f64 (*.f64 y (log.f64 (/.f64 -1 z))) (*.f64 y z)))
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(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))

prune150.0ms (4.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1982200
Fresh213
Picked011
Done011
Total2005205
Error
0b
Counts
205 → 5
Alt Table
StatusErrorProgram
0.7b
(fma.f64 (*.f64 (-.f64 (log.f64 z) z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (fma.f64 1/2 x y))
0.2b
(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))
15.9b
(+.f64 (fma.f64 1/2 x y) (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 z z)) y) (+.f64 z (log.f64 z))))
0.1b
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))
0.1b
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
Compiler

Compiled 3748 to 1626 computations (56.6% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

series38.0ms (1.2%)

Counts
4 → 44
Calls

12 calls:

TimeVariablePointExpression
12.0ms
z
@0
(cbrt.f64 (pow.f64 (log.f64 z) 2))
11.0ms
z
@-inf
(cbrt.f64 (pow.f64 (log.f64 z) 2))
7.0ms
z
@inf
(cbrt.f64 (pow.f64 (log.f64 z) 2))
2.0ms
z
@inf
(cbrt.f64 (log.f64 z))
1.0ms
z
@-inf
(cbrt.f64 (log.f64 z))

rewrite45.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
632×pow1_binary64
585×add-log-exp_binary64
584×log1p-expm1-u_binary64
584×expm1-log1p-u_binary64
84×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0937
117925
2199625
Stop Event
node limit
Counts
4 → 87
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (log.f64 z) 2))
(pow.f64 (log.f64 z) 2)
(cbrt.f64 (log.f64 z))
(fma.f64 (cbrt.f64 (log.f64 z)) (cbrt.f64 (pow.f64 (log.f64 z) 2)) (neg.f64 z))
Outputs
((#(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 (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 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 (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 (cbrt.f64 (log.f64 z)) 2)))) (#(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 expm1.f64 (log1p.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 log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (log.f64 z)) 2)))))))
((#(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 expm1.f64 (log1p.f64 (pow.f64 (log.f64 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (log.f64 z))))))) (#(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 (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 (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 (log.f64 z)) 1)))) (#(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 expm1.f64 (log1p.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 log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 z))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 z (log.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 z) z)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 z) z)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 z (log.f64 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 z) 0) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 z (log.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 z (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 z (log.f64 z))) (pow.f64 (cbrt.f64 (+.f64 z (log.f64 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 z (log.f64 z))) 2) (cbrt.f64 (+.f64 z (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 z (log.f64 z))) (sqrt.f64 (+.f64 z (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 z) 3) (pow.f64 z 3)) (+.f64 (pow.f64 (log.f64 z) 2) (-.f64 (*.f64 z z) (*.f64 (log.f64 z) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 z z)) (+.f64 z (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 z (log.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 z (log.f64 z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 z (log.f64 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 z (log.f64 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 z (log.f64 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 z (exp.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 z (log.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 z (log.f64 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 z (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 z (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 z (log.f64 z))))))))

simplify39.0ms (1.2%)

Algorithm
egg-herbie
Rules
619×fma-neg_binary64
570×fma-def_binary64
257×distribute-rgt-in_binary64
192×distribute-lft-in_binary64
154×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
030332
179316
2144316
3420310
41467310
54383310
Stop Event
node limit
Counts
131 → 103
Calls
Call 1
Inputs
(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)
(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 (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)
(log.f64 z)
(-.f64 (log.f64 z) z)
(-.f64 (log.f64 z) z)
(-.f64 (log.f64 z) z)
(*.f64 -1 z)
(-.f64 (*.f64 (log.f64 (/.f64 1 z)) (cbrt.f64 -1)) z)
(-.f64 (*.f64 (log.f64 (/.f64 1 z)) (cbrt.f64 -1)) z)
(-.f64 (*.f64 (log.f64 (/.f64 1 z)) (cbrt.f64 -1)) 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))
Outputs
(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))
(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 (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))
(log.f64 z)
(-.f64 (log.f64 z) z)
(-.f64 (log.f64 z) z)
(-.f64 (log.f64 z) z)
(*.f64 -1 z)
(neg.f64 z)
(-.f64 (*.f64 (log.f64 (/.f64 1 z)) (cbrt.f64 -1)) z)
(fma.f64 (neg.f64 (log.f64 z)) (cbrt.f64 -1) (neg.f64 z))
(-.f64 (*.f64 (neg.f64 (log.f64 z)) (cbrt.f64 -1)) z)
(-.f64 (neg.f64 z) (*.f64 (log.f64 z) (cbrt.f64 -1)))
(neg.f64 (fma.f64 (log.f64 z) (cbrt.f64 -1) z))
(-.f64 (*.f64 (log.f64 (/.f64 1 z)) (cbrt.f64 -1)) z)
(fma.f64 (neg.f64 (log.f64 z)) (cbrt.f64 -1) (neg.f64 z))
(-.f64 (*.f64 (neg.f64 (log.f64 z)) (cbrt.f64 -1)) z)
(-.f64 (neg.f64 z) (*.f64 (log.f64 z) (cbrt.f64 -1)))
(neg.f64 (fma.f64 (log.f64 z) (cbrt.f64 -1) z))
(-.f64 (*.f64 (log.f64 (/.f64 1 z)) (cbrt.f64 -1)) z)
(fma.f64 (neg.f64 (log.f64 z)) (cbrt.f64 -1) (neg.f64 z))
(-.f64 (*.f64 (neg.f64 (log.f64 z)) (cbrt.f64 -1)) z)
(-.f64 (neg.f64 z) (*.f64 (log.f64 z) (cbrt.f64 -1)))
(neg.f64 (fma.f64 (log.f64 z) (cbrt.f64 -1) z))
(*.f64 -1 z)
(neg.f64 z)
(-.f64 (log.f64 -1) (+.f64 (log.f64 (/.f64 -1 z)) z))
(-.f64 (log.f64 z) z)
(-.f64 (log.f64 -1) (+.f64 (log.f64 (/.f64 -1 z)) z))
(-.f64 (log.f64 z) z)
(-.f64 (log.f64 -1) (+.f64 (log.f64 (/.f64 -1 z)) z))
(-.f64 (log.f64 z) z)

prune86.0ms (2.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1030103
Fresh022
Picked011
Done022
Total1035108
Error
0b
Counts
108 → 5
Alt Table
StatusErrorProgram
0.7b
(fma.f64 (*.f64 (-.f64 (log.f64 z) z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (fma.f64 1/2 x y))
0.2b
(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))
15.9b
(+.f64 (fma.f64 1/2 x y) (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 z z)) y) (+.f64 z (log.f64 z))))
0.1b
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))
0.1b
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
Compiler

Compiled 2036 to 947 computations (53.5% saved)

regimes463.0ms (14.5%)

Accuracy

Total 0.1b remaining (64.2%)

Threshold costs 0.1b (64.2%)

Counts
90 → 1
Compiler

Compiled 1181 to 506 computations (57.2% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
sub-neg_binary64
*-commutative_binary64
+-rgt-identity_binary64
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01114
11514
21914
32114
42214
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 x 1/2 (fma.f64 y (-.f64 (+.f64 (log.f64 z) 0) z) y))
Outputs
(fma.f64 x 1/2 (fma.f64 y (-.f64 (+.f64 (log.f64 z) 0) z) y))
(fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))

end97.0ms (3%)

Stop Event
fuel
Compiler

Compiled 115 to 72 computations (37.4% saved)

Profiling

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