Details

Time bar (total: 4.1s)

analyze428.0ms (10.3%)

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%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 (28.5%)

Results
1.1s8256×body128valid
58.0ms402×body128invalid

preprocess49.0ms (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)

simplify42.0ms (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)

series53.0ms (1.3%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
30.0ms
y
@0
(fma.f64 y (-.f64 (log.f64 z) z) y)
6.0ms
y
@-inf
(fma.f64 y (-.f64 (log.f64 z) z) y)
6.0ms
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))

rewrite58.0ms (1.4%)

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
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((#(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 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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 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simplify45.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
512×fma-def_binary64
270×sub-neg_binary64
267×distribute-rgt-in_binary64
259×unsub-neg_binary64
236×associate--l+_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
054837
1164735
2391735
3979735
42715735
Stop Event
1×node limit
Counts
222 → 177
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 (*.f64 -1 (-.f64 (log.f64 z) z)) 1)))
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (-.f64 (log.f64 z) z)) 1)))
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (-.f64 (log.f64 z) z)) 1)))
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (-.f64 (log.f64 z) z)) 1)))
(+.f64 (*.f64 y (log.f64 z)) y)
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 -1 (*.f64 y z)) y))
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 -1 (*.f64 y z)) y))
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 -1 (*.f64 y z)) y))
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z)))) (+.f64 y (*.f64 -1 (*.f64 y z))))
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z)))) (+.f64 y (*.f64 -1 (*.f64 y z))))
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z)))) (+.f64 y (*.f64 -1 (*.f64 y z))))
(*.f64 -1 (*.f64 y z))
(+.f64 y (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(+.f64 y (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(+.f64 y (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(log.f64 z)
(+.f64 (*.f64 -1 z) (log.f64 z))
(+.f64 (*.f64 -1 z) (log.f64 z))
(+.f64 (*.f64 -1 z) (log.f64 z))
(*.f64 -1 z)
(+.f64 (*.f64 -1 z) (*.f64 -1 (log.f64 (/.f64 1 z))))
(+.f64 (*.f64 -1 z) (*.f64 -1 (log.f64 (/.f64 1 z))))
(+.f64 (*.f64 -1 z) (*.f64 -1 (log.f64 (/.f64 1 z))))
(*.f64 -1 z)
(+.f64 (*.f64 -1 z) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))
(+.f64 (*.f64 -1 z) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))
(+.f64 (*.f64 -1 z) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z))))
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z))))
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z))))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z))))
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z))))
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z))))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z))))
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z))))
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z))))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (-.f64 (log.f64 z) z)) 1)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (-.f64 (log.f64 z) z)) 1))))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (-.f64 (log.f64 z) z)) 1))))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (-.f64 (log.f64 z) z)) 1))))
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) y))
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) y)))
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) y)))
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) y)))
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z)))) (+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 -1 (*.f64 y z)))))
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z)))) (+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 -1 (*.f64 y z)))))
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z)))) (+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 -1 (*.f64 y z)))))
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 1/2 x) (+.f64 y (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))))
(+.f64 (*.f64 1/2 x) (+.f64 y (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))))
(+.f64 (*.f64 1/2 x) (+.f64 y (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))))
Outputs
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (-.f64 (log.f64 z) z)) 1)))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (-.f64 (log.f64 z) z)) 1)))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (-.f64 (log.f64 z) z)) 1)))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (-.f64 (log.f64 z) z)) 1)))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(+.f64 (*.f64 y (log.f64 z)) y)
(fma.f64 y (log.f64 z) y)
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 -1 (*.f64 y z)) y))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 -1 (*.f64 y z)) y))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 -1 (*.f64 y z)) y))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z)))) (+.f64 y (*.f64 -1 (*.f64 y z))))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z)))) (+.f64 y (*.f64 -1 (*.f64 y z))))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z)))) (+.f64 y (*.f64 -1 (*.f64 y z))))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 y (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(+.f64 y (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(+.f64 y (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(log.f64 z)
(+.f64 (*.f64 -1 z) (log.f64 z))
(-.f64 (log.f64 z) z)
(+.f64 (*.f64 -1 z) (log.f64 z))
(-.f64 (log.f64 z) z)
(+.f64 (*.f64 -1 z) (log.f64 z))
(-.f64 (log.f64 z) z)
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (*.f64 -1 z) (*.f64 -1 (log.f64 (/.f64 1 z))))
(-.f64 (log.f64 z) z)
(+.f64 (*.f64 -1 z) (*.f64 -1 (log.f64 (/.f64 1 z))))
(-.f64 (log.f64 z) z)
(+.f64 (*.f64 -1 z) (*.f64 -1 (log.f64 (/.f64 1 z))))
(-.f64 (log.f64 z) z)
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (*.f64 -1 z) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))
(-.f64 (log.f64 z) z)
(+.f64 (*.f64 -1 z) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))
(-.f64 (log.f64 z) z)
(+.f64 (*.f64 -1 z) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))
(-.f64 (log.f64 z) z)
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z))))
(+.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 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z))))
(+.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 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z))))
(+.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 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z))))
(+.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 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z))))
(+.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 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z))))
(+.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 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z))))
(+.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 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z))))
(+.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 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z))))
(+.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 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(+.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 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(+.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 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(+.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))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(+.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 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(+.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 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(+.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 (*.f64 -1 (-.f64 (log.f64 z) z)) 1)))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (-.f64 (log.f64 z) z)) 1))))
(+.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 1/2 x) (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (-.f64 (log.f64 z) z)) 1))))
(+.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 1/2 x) (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (-.f64 (log.f64 z) z)) 1))))
(+.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 (log.f64 z)) (+.f64 (*.f64 1/2 x) y))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x y))
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y 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 (log.f64 z)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y 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 (log.f64 z)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y 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 y z))
(*.f64 y (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z)))) (+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 -1 (*.f64 y z)))))
(+.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 -1 (*.f64 y (log.f64 (/.f64 1 z)))) (+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 -1 (*.f64 y z)))))
(+.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 -1 (*.f64 y (log.f64 (/.f64 1 z)))) (+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 -1 (*.f64 y z)))))
(+.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 y z))
(*.f64 y (neg.f64 z))
(+.f64 (*.f64 1/2 x) (+.f64 y (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))))
(+.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 1/2 x) (+.f64 y (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))))
(+.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 1/2 x) (+.f64 y (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))))
(+.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))

prune437.0ms (10.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1707177
Fresh000
Picked101
Done000
Total1717178
Error
0.0b
Counts
178 → 7
Alt Table
StatusErrorProgram
0.8b
(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)))
0.1b
(fma.f64 x 1/2 (+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 -1 (*.f64 y z)) y)))
▶0.1b
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))
0.7b
(fma.f64 x 1/2 (fma.f64 y (pow.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) 3) y))
21.3b
(fma.f64 x 1/2 (/.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))))
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))
11.4b
(fma.f64 x 1/2 (fma.f64 y (/.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 z z)) (+.f64 z (log.f64 z))) y))
Compiler

Compiled 3288 to 1367 computations (58.4% saved)

localize8.0ms (0.2%)

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))

series7.0ms (0.2%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
3.0ms
z
@0
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))
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
@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))

rewrite42.0ms (1%)

Algorithm
1×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
1×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 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))))))) (#(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))))))))

simplify45.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
697×unsub-neg_binary64
532×fma-def_binary64
236×sub-neg_binary64
212×distribute-rgt-in_binary64
196×associate--l+_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
046503
1127443
2342443
3936443
42528443
54728443
Stop Event
1×node limit
Counts
66 → 46
Calls
Call 1
Inputs
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (-.f64 (log.f64 z) z)) 1)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (-.f64 (log.f64 z) z)) 1))))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (-.f64 (log.f64 z) z)) 1))))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (-.f64 (log.f64 z) z)) 1))))
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) y))
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) y)))
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) y)))
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) y)))
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z)))) (+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 -1 (*.f64 y z)))))
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z)))) (+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 -1 (*.f64 y z)))))
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z)))) (+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 -1 (*.f64 y z)))))
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 1/2 x) (+.f64 y (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))))
(+.f64 (*.f64 1/2 x) (+.f64 y (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))))
(+.f64 (*.f64 1/2 x) (+.f64 y (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))))
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z))))
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z))))
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z))))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z))))
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z))))
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z))))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z))))
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z))))
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z))))
Outputs
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (-.f64 (log.f64 z) z)) 1)))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (-.f64 (log.f64 z) z)) 1))))
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (-.f64 (log.f64 z) z)) 1))))
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y (-.f64 (*.f64 -1 (-.f64 (log.f64 z) z)) 1))))
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) y))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x y))
(fma.f64 1/2 x (fma.f64 y (log.f64 z) y))
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) y)))
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) y)))
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) y)))
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z)))) (+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 -1 (*.f64 y z)))))
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z)))) (+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 -1 (*.f64 y z)))))
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z)))) (+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 -1 (*.f64 y z)))))
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(+.f64 (*.f64 1/2 x) (+.f64 y (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))))
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(+.f64 (*.f64 1/2 x) (+.f64 y (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))))
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(+.f64 (*.f64 1/2 x) (+.f64 y (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))))
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z))))
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z))))
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z))))
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z))))
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z))))
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z))))
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z))))
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z))))
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 y (-.f64 (log.f64 z) z))))
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))

prune316.0ms (7.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1413144
Fresh336
Picked101
Done000
Total1456151
Error
0.0b
Counts
151 → 6
Alt Table
StatusErrorProgram
0.3b
(fma.f64 y (fma.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) (cbrt.f64 (log.f64 z)) (neg.f64 z)) (fma.f64 1/2 x y))
▶0.1b
(fma.f64 x 1/2 (+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 -1 (*.f64 y z)) y)))
0.8b
(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)))
11.4b
(fma.f64 y (/.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 z z)) (+.f64 z (log.f64 z))) (fma.f64 1/2 x y))
0.7b
(fma.f64 y (pow.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) 3) (fma.f64 1/2 x y))
21.3b
(fma.f64 x 1/2 (/.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))))
Compiler

Compiled 2714 to 1184 computations (56.4% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 x 1/2 (+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 -1 (*.f64 y z)) y)))
✓0.0b
(+.f64 (*.f64 -1 (*.f64 y z)) y)
✓0.1b
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 -1 (*.f64 y z)) y))
✓0.3b
(*.f64 y (log.f64 z))

series42.0ms (1%)

Counts
4 → 86
Calls

27 calls:

TimeVariablePointExpression
11.0ms
z
@0
(*.f64 y (log.f64 z))
10.0ms
z
@-inf
(*.f64 y (log.f64 z))
6.0ms
z
@inf
(*.f64 y (log.f64 z))
5.0ms
y
@0
(+.f64 (*.f64 -1 (*.f64 y z)) y)
1.0ms
y
@0
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 -1 (*.f64 y z)) y))

rewrite71.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
685×fma-def_binary64
362×fma-neg_binary64
234×expm1-udef_binary64
234×log1p-udef_binary64
143×add-sqr-sqrt_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01346
127943
2386437
Stop Event
1×node limit
Counts
4 → 202
Calls
Call 1
Inputs
(*.f64 y (log.f64 z))
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 -1 (*.f64 y z)) y))
(+.f64 (*.f64 -1 (*.f64 y z)) y)
(fma.f64 x 1/2 (+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 -1 (*.f64 y z)) y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (log.f64 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (log.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (log.f64 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (log.f64 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (log.f64 z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (log.f64 z)) 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 y (log.f64 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (log.f64 z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 z y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (log.f64 z))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y (log.f64 z) (fma.f64 y z y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 y (log.f64 z)) 2) (-.f64 (*.f64 y (log.f64 z)) (fma.f64 y z y))) (/.f64 (pow.f64 (fma.f64 y z y) 2) (-.f64 (*.f64 y (log.f64 z)) (fma.f64 y z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y (log.f64 z) (fma.f64 y z y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y (log.f64 z) (fma.f64 y z y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y (log.f64 z) (fma.f64 y z y))) (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 z) (fma.f64 y z y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 z) (fma.f64 y z y))) 2) (cbrt.f64 (fma.f64 y (log.f64 z) (fma.f64 y z y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y (log.f64 z) (fma.f64 y z y))) (sqrt.f64 (fma.f64 y (log.f64 z) (fma.f64 y z y))))))) 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#<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 z)) (*.f64 (sqrt.f64 (log.f64 z)) y) (fma.f64 y z y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 y 3)) (/.f64 1 (fma.f64 y (fma.f64 y z y) (pow.f64 (*.f64 y z) 2))) (*.f64 y (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (*.f64 y z) 2) (*.f64 y y)) (/.f64 1 (-.f64 (*.f64 y z) y)) (*.f64 y (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 y) z (+.f64 y (*.f64 y (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 y z (*.f64 y (log.f64 z))) 1 y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 y z (*.f64 y (log.f64 z)))) (cbrt.f64 (fma.f64 y z (*.f64 y (log.f64 z))))) (cbrt.f64 (fma.f64 y z (*.f64 y (log.f64 z)))) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 y z (*.f64 y (log.f64 z)))) (sqrt.f64 (fma.f64 y z (*.f64 y (log.f64 z)))) y)))) (#(struct:change 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simplify67.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
664×fma-def_binary64
614×unsub-neg_binary64
233×sub-neg_binary64
217×distribute-rgt-in_binary64
211×associate--l+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0531050
1158957
2411925
31078829
42782829
54927829
Stop Event
1×node limit
Counts
288 → 229
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z))))
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z))))
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z))))
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z))))
(*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))
(*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))
(*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))
(*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))
(*.f64 y (+.f64 (*.f64 -1 z) (+.f64 1 (log.f64 z))))
(*.f64 y (+.f64 (*.f64 -1 z) (+.f64 1 (log.f64 z))))
(*.f64 y (+.f64 (*.f64 -1 z) (+.f64 1 (log.f64 z))))
(*.f64 y (+.f64 (*.f64 -1 z) (+.f64 1 (log.f64 z))))
(*.f64 y (+.f64 (*.f64 -1 z) (+.f64 1 (log.f64 z))))
(*.f64 y (+.f64 (*.f64 -1 z) (+.f64 1 (log.f64 z))))
(*.f64 y (+.f64 (*.f64 -1 z) (+.f64 1 (log.f64 z))))
(*.f64 y (+.f64 (*.f64 -1 z) (+.f64 1 (log.f64 z))))
(*.f64 -1 (*.f64 y (-.f64 (+.f64 z (*.f64 -1 (log.f64 z))) 1)))
(*.f64 -1 (*.f64 y (-.f64 (+.f64 z (*.f64 -1 (log.f64 z))) 1)))
(*.f64 -1 (*.f64 y (-.f64 (+.f64 z (*.f64 -1 (log.f64 z))) 1)))
(*.f64 -1 (*.f64 y (-.f64 (+.f64 z (*.f64 -1 (log.f64 z))) 1)))
(+.f64 (*.f64 y (log.f64 z)) y)
(*.f64 -1 (*.f64 y z))
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(*.f64 -1 (*.f64 y z))
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(*.f64 (+.f64 (*.f64 -1 z) 1) y)
(*.f64 (+.f64 (*.f64 -1 z) 1) y)
(*.f64 (+.f64 (*.f64 -1 z) 1) y)
(*.f64 (+.f64 (*.f64 -1 z) 1) y)
(*.f64 (+.f64 (*.f64 -1 z) 1) y)
(*.f64 (+.f64 (*.f64 -1 z) 1) y)
(*.f64 (+.f64 (*.f64 -1 z) 1) y)
(*.f64 (+.f64 (*.f64 -1 z) 1) y)
(*.f64 -1 (*.f64 (-.f64 z 1) y))
(*.f64 -1 (*.f64 (-.f64 z 1) y))
(*.f64 -1 (*.f64 (-.f64 z 1) y))
(*.f64 -1 (*.f64 (-.f64 z 1) y))
y
(*.f64 -1 (*.f64 y z))
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(+.f64 y (*.f64 -1 (*.f64 y z)))
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(*.f64 -1 (*.f64 y z))
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(+.f64 y (*.f64 -1 (*.f64 y z)))
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 -1 (*.f64 y z)) y))
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(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 -1 (*.f64 y z)))))
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 -1 (*.f64 y z)))))
(*.f64 1/2 x)
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(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 -1 (*.f64 y z)))))
(*.f64 1/2 x)
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(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 -1 (*.f64 y z)))))
(*.f64 1/2 x)
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(*.f64 y (+.f64 (*.f64 -1 z) (+.f64 1 (log.f64 z))))
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(+.f64 (*.f64 1/2 x) (*.f64 y (+.f64 (*.f64 -1 z) (+.f64 1 (log.f64 z)))))
(*.f64 -1 (*.f64 y (-.f64 (+.f64 z (*.f64 -1 (log.f64 z))) 1)))
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(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y (-.f64 (+.f64 z (*.f64 -1 (log.f64 z))) 1))))
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) y))
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) y)))
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) y)))
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) y)))
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z)))) (+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 -1 (*.f64 y z)))))
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z)))) (+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 -1 (*.f64 y z)))))
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z)))) (+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 -1 (*.f64 y z)))))
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 1/2 x) (+.f64 y (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))))
(+.f64 (*.f64 1/2 x) (+.f64 y (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))))
(+.f64 (*.f64 1/2 x) (+.f64 y (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))))
Outputs
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z))))
(neg.f64 (*.f64 y (neg.f64 (log.f64 z))))
(*.f64 (neg.f64 (log.f64 z)) (neg.f64 y))
(*.f64 y (log.f64 z))
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z))))
(neg.f64 (*.f64 y (neg.f64 (log.f64 z))))
(*.f64 (neg.f64 (log.f64 z)) (neg.f64 y))
(*.f64 y (log.f64 z))
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z))))
(neg.f64 (*.f64 y (neg.f64 (log.f64 z))))
(*.f64 (neg.f64 (log.f64 z)) (neg.f64 y))
(*.f64 y (log.f64 z))
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z))))
(neg.f64 (*.f64 y (neg.f64 (log.f64 z))))
(*.f64 (neg.f64 (log.f64 z)) (neg.f64 y))
(*.f64 y (log.f64 z))
(*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))
(neg.f64 (*.f64 y (neg.f64 (log.f64 z))))
(*.f64 (neg.f64 (log.f64 z)) (neg.f64 y))
(*.f64 y (log.f64 z))
(*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))
(neg.f64 (*.f64 y (neg.f64 (log.f64 z))))
(*.f64 (neg.f64 (log.f64 z)) (neg.f64 y))
(*.f64 y (log.f64 z))
(*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))
(neg.f64 (*.f64 y (neg.f64 (log.f64 z))))
(*.f64 (neg.f64 (log.f64 z)) (neg.f64 y))
(*.f64 y (log.f64 z))
(*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))
(neg.f64 (*.f64 y (neg.f64 (log.f64 z))))
(*.f64 (neg.f64 (log.f64 z)) (neg.f64 y))
(*.f64 y (log.f64 z))
(*.f64 y (+.f64 (*.f64 -1 z) (+.f64 1 (log.f64 z))))
(*.f64 y (+.f64 (fma.f64 -1 z 1) (log.f64 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 y (+.f64 (*.f64 -1 z) (+.f64 1 (log.f64 z))))
(*.f64 y (+.f64 (fma.f64 -1 z 1) (log.f64 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 y (+.f64 (*.f64 -1 z) (+.f64 1 (log.f64 z))))
(*.f64 y (+.f64 (fma.f64 -1 z 1) (log.f64 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 y (+.f64 (*.f64 -1 z) (+.f64 1 (log.f64 z))))
(*.f64 y (+.f64 (fma.f64 -1 z 1) (log.f64 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 y (+.f64 (*.f64 -1 z) (+.f64 1 (log.f64 z))))
(*.f64 y (+.f64 (fma.f64 -1 z 1) (log.f64 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 y (+.f64 (*.f64 -1 z) (+.f64 1 (log.f64 z))))
(*.f64 y (+.f64 (fma.f64 -1 z 1) (log.f64 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 y (+.f64 (*.f64 -1 z) (+.f64 1 (log.f64 z))))
(*.f64 y (+.f64 (fma.f64 -1 z 1) (log.f64 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 y (+.f64 (*.f64 -1 z) (+.f64 1 (log.f64 z))))
(*.f64 y (+.f64 (fma.f64 -1 z 1) (log.f64 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 -1 (*.f64 y (-.f64 (+.f64 z (*.f64 -1 (log.f64 z))) 1)))
(*.f64 y (+.f64 (fma.f64 -1 z 1) (log.f64 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 -1 (*.f64 y (-.f64 (+.f64 z (*.f64 -1 (log.f64 z))) 1)))
(*.f64 y (+.f64 (fma.f64 -1 z 1) (log.f64 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 -1 (*.f64 y (-.f64 (+.f64 z (*.f64 -1 (log.f64 z))) 1)))
(*.f64 y (+.f64 (fma.f64 -1 z 1) (log.f64 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 -1 (*.f64 y (-.f64 (+.f64 z (*.f64 -1 (log.f64 z))) 1)))
(*.f64 y (+.f64 (fma.f64 -1 z 1) (log.f64 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 y (log.f64 z)) y)
(fma.f64 y (log.f64 z) y)
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z)))) (+.f64 y (*.f64 -1 (*.f64 y z))))
(*.f64 y (+.f64 (fma.f64 -1 z 1) (log.f64 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 -1 (*.f64 y (log.f64 (/.f64 1 z)))) (+.f64 y (*.f64 -1 (*.f64 y z))))
(*.f64 y (+.f64 (fma.f64 -1 z 1) (log.f64 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)
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(*.f64 y (+.f64 (fma.f64 -1 z 1) (log.f64 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 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 y (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(*.f64 y (+.f64 (fma.f64 -1 z 1) (log.f64 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)
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(*.f64 y (+.f64 (fma.f64 -1 z 1) (log.f64 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 y (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(*.f64 y (+.f64 (fma.f64 -1 z 1) (log.f64 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 -1 z) 1) y)
(*.f64 y (fma.f64 -1 z 1))
(*.f64 y (-.f64 1 z))
(-.f64 y (*.f64 y z))
(fma.f64 y (neg.f64 z) y)
(*.f64 (+.f64 (*.f64 -1 z) 1) y)
(*.f64 y (fma.f64 -1 z 1))
(*.f64 y (-.f64 1 z))
(-.f64 y (*.f64 y z))
(fma.f64 y (neg.f64 z) y)
(*.f64 (+.f64 (*.f64 -1 z) 1) y)
(*.f64 y (fma.f64 -1 z 1))
(*.f64 y (-.f64 1 z))
(-.f64 y (*.f64 y z))
(fma.f64 y (neg.f64 z) y)
(*.f64 (+.f64 (*.f64 -1 z) 1) y)
(*.f64 y (fma.f64 -1 z 1))
(*.f64 y (-.f64 1 z))
(-.f64 y (*.f64 y z))
(fma.f64 y (neg.f64 z) y)
(*.f64 (+.f64 (*.f64 -1 z) 1) y)
(*.f64 y (fma.f64 -1 z 1))
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(-.f64 y (*.f64 y z))
(fma.f64 y (neg.f64 z) y)
(*.f64 (+.f64 (*.f64 -1 z) 1) y)
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(-.f64 y (*.f64 y z))
(fma.f64 y (neg.f64 z) y)
(*.f64 (+.f64 (*.f64 -1 z) 1) y)
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(-.f64 y (*.f64 y z))
(fma.f64 y (neg.f64 z) y)
(*.f64 (+.f64 (*.f64 -1 z) 1) y)
(*.f64 y (fma.f64 -1 z 1))
(*.f64 y (-.f64 1 z))
(-.f64 y (*.f64 y z))
(fma.f64 y (neg.f64 z) y)
(*.f64 -1 (*.f64 (-.f64 z 1) y))
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(-.f64 y (*.f64 y z))
(fma.f64 y (neg.f64 z) y)
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(-.f64 y (*.f64 y z))
(fma.f64 y (neg.f64 z) y)
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(-.f64 y (*.f64 y z))
(fma.f64 y (neg.f64 z) y)
(*.f64 -1 (*.f64 (-.f64 z 1) y))
(*.f64 y (fma.f64 -1 z 1))
(*.f64 y (-.f64 1 z))
(-.f64 y (*.f64 y z))
(fma.f64 y (neg.f64 z) y)
y
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
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(-.f64 y (*.f64 y z))
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(-.f64 y (*.f64 y z))
(fma.f64 y (neg.f64 z) y)
(*.f64 -1 (*.f64 y z))
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(*.f64 y (neg.f64 z))
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(fma.f64 y (-.f64 (log.f64 z) z) y)
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(fma.f64 y (log.f64 z) (fma.f64 1/2 x (fma.f64 -1 (*.f64 y z) y)))
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(*.f64 1/2 x)
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(*.f64 1/2 x)
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 -1 (*.f64 y z)))))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x (fma.f64 -1 (*.f64 y z) y)))
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(*.f64 1/2 x)
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(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))
(+.f64 (*.f64 1/2 x) (*.f64 y (+.f64 (*.f64 -1 z) (+.f64 1 (log.f64 z)))))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x (fma.f64 -1 (*.f64 y z) y)))
(fma.f64 y (+.f64 (log.f64 z) (-.f64 1 z)) (*.f64 1/2 x))
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))
(*.f64 y (+.f64 (*.f64 -1 z) (+.f64 1 (log.f64 z))))
(*.f64 y (+.f64 (fma.f64 -1 z 1) (log.f64 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 1/2 x) (*.f64 y (+.f64 (*.f64 -1 z) (+.f64 1 (log.f64 z)))))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x (fma.f64 -1 (*.f64 y z) y)))
(fma.f64 y (+.f64 (log.f64 z) (-.f64 1 z)) (*.f64 1/2 x))
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))
(+.f64 (*.f64 1/2 x) (*.f64 y (+.f64 (*.f64 -1 z) (+.f64 1 (log.f64 z)))))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x (fma.f64 -1 (*.f64 y z) y)))
(fma.f64 y (+.f64 (log.f64 z) (-.f64 1 z)) (*.f64 1/2 x))
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))
(+.f64 (*.f64 1/2 x) (*.f64 y (+.f64 (*.f64 -1 z) (+.f64 1 (log.f64 z)))))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x (fma.f64 -1 (*.f64 y z) y)))
(fma.f64 y (+.f64 (log.f64 z) (-.f64 1 z)) (*.f64 1/2 x))
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))
(*.f64 -1 (*.f64 y (-.f64 (+.f64 z (*.f64 -1 (log.f64 z))) 1)))
(*.f64 y (+.f64 (fma.f64 -1 z 1) (log.f64 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 1/2 x) (*.f64 -1 (*.f64 y (-.f64 (+.f64 z (*.f64 -1 (log.f64 z))) 1))))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x (fma.f64 -1 (*.f64 y z) y)))
(fma.f64 y (+.f64 (log.f64 z) (-.f64 1 z)) (*.f64 1/2 x))
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y (-.f64 (+.f64 z (*.f64 -1 (log.f64 z))) 1))))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x (fma.f64 -1 (*.f64 y z) y)))
(fma.f64 y (+.f64 (log.f64 z) (-.f64 1 z)) (*.f64 1/2 x))
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y (-.f64 (+.f64 z (*.f64 -1 (log.f64 z))) 1))))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x (fma.f64 -1 (*.f64 y z) y)))
(fma.f64 y (+.f64 (log.f64 z) (-.f64 1 z)) (*.f64 1/2 x))
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) y))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x y))
(fma.f64 1/2 x (fma.f64 y (log.f64 z) y))
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) y)))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x (fma.f64 -1 (*.f64 y z) y)))
(fma.f64 y (+.f64 (log.f64 z) (-.f64 1 z)) (*.f64 1/2 x))
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) y)))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x (fma.f64 -1 (*.f64 y z) y)))
(fma.f64 y (+.f64 (log.f64 z) (-.f64 1 z)) (*.f64 1/2 x))
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) y)))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x (fma.f64 -1 (*.f64 y z) y)))
(fma.f64 y (+.f64 (log.f64 z) (-.f64 1 z)) (*.f64 1/2 x))
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z)))) (+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 -1 (*.f64 y z)))))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x (fma.f64 -1 (*.f64 y z) y)))
(fma.f64 y (+.f64 (log.f64 z) (-.f64 1 z)) (*.f64 1/2 x))
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z)))) (+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 -1 (*.f64 y z)))))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x (fma.f64 -1 (*.f64 y z) y)))
(fma.f64 y (+.f64 (log.f64 z) (-.f64 1 z)) (*.f64 1/2 x))
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z)))) (+.f64 (*.f64 1/2 x) (+.f64 y (*.f64 -1 (*.f64 y z)))))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x (fma.f64 -1 (*.f64 y z) y)))
(fma.f64 y (+.f64 (log.f64 z) (-.f64 1 z)) (*.f64 1/2 x))
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (*.f64 1/2 x) (+.f64 y (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x (fma.f64 -1 (*.f64 y z) y)))
(fma.f64 y (+.f64 (log.f64 z) (-.f64 1 z)) (*.f64 1/2 x))
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))
(+.f64 (*.f64 1/2 x) (+.f64 y (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x (fma.f64 -1 (*.f64 y z) y)))
(fma.f64 y (+.f64 (log.f64 z) (-.f64 1 z)) (*.f64 1/2 x))
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))
(+.f64 (*.f64 1/2 x) (+.f64 y (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x (fma.f64 -1 (*.f64 y z) y)))
(fma.f64 y (+.f64 (log.f64 z) (-.f64 1 z)) (*.f64 1/2 x))
(+.f64 (fma.f64 1/2 x y) (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))

prune774.0ms (18.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New2254229
Fresh235
Picked011
Done000
Total2278235
Error
0b
Counts
235 → 8
Alt Table
StatusErrorProgram
17.9b
(fma.f64 x 1/2 (fma.f64 (*.f64 (log.f64 z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (fma.f64 y z y)))
▶0.3b
(fma.f64 y (fma.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) (cbrt.f64 (log.f64 z)) (neg.f64 z)) (fma.f64 1/2 x y))
18.0b
(fma.f64 x 1/2 (fma.f64 (cbrt.f64 (*.f64 y (log.f64 z))) (pow.f64 (cbrt.f64 (*.f64 y (log.f64 z))) 2) (fma.f64 y z y)))
✓0.1b
(fma.f64 x 1/2 (+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 -1 (*.f64 y z)) y)))
0.8b
(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)))
11.4b
(fma.f64 y (/.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 z z)) (+.f64 z (log.f64 z))) (fma.f64 1/2 x y))
17.9b
(fma.f64 x 1/2 (fma.f64 (pow.f64 (cbrt.f64 (log.f64 z)) 2) (*.f64 (cbrt.f64 (log.f64 z)) y) (fma.f64 y z y)))
42.9b
(fma.f64 x 1/2 (+.f64 (*.f64 y (log.f64 z)) (exp.f64 (log.f64 (fma.f64 y z y)))))
Compiler

Compiled 4375 to 1598 computations (63.5% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

series13.0ms (0.3%)

Counts
4 → 44
Calls

12 calls:

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

rewrite47.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
629×pow1_binary64
582×add-log-exp_binary64
581×log1p-expm1-u_binary64
581×expm1-log1p-u_binary64
84×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0937
117925
2197325
Stop Event
1×node limit
Counts
4 → 87
Calls
Call 1
Inputs
(pow.f64 (log.f64 z) 2)
(cbrt.f64 (pow.f64 (log.f64 z) 2))
(cbrt.f64 (log.f64 z))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) (cbrt.f64 (log.f64 z)) (neg.f64 z))
Outputs
((#(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 log1p.f64 (expm1.f64 (pow.f64 (log.f64 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.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 (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 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 expm1.f64 (log1p.f64 (pow.f64 (cbrt.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 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 expm1.f64 (log1p.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 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))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 z (log.f64 z))))))))

simplify39.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
613×fma-neg_binary64
509×fma-def_binary64
355×unsub-neg_binary64
260×distribute-rgt-in_binary64
195×distribute-lft-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
030341
181316
2149316
3402310
41451310
54218310
Stop Event
1×node limit
Counts
131 → 104
Calls
Call 1
Inputs
(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) (*.f64 -1 (log.f64 (/.f64 -1 z)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.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) (*.f64 -1 (log.f64 (/.f64 -1 z)))) 2) 1/3)
(pow.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))) 2) 1/3)
(pow.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))) 2) 1/3)
(pow.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))) 2) 1/3)
(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 (cbrt.f64 -1) (pow.f64 (log.f64 (/.f64 1 z)) 1/3))
(*.f64 (cbrt.f64 -1) (pow.f64 (log.f64 (/.f64 1 z)) 1/3))
(*.f64 (cbrt.f64 -1) (pow.f64 (log.f64 (/.f64 1 z)) 1/3))
(*.f64 (cbrt.f64 -1) (pow.f64 (log.f64 (/.f64 1 z)) 1/3))
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))) 1/3)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))) 1/3)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))) 1/3)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))) 1/3)
(log.f64 z)
(+.f64 (*.f64 -1 z) (log.f64 z))
(+.f64 (*.f64 -1 z) (log.f64 z))
(+.f64 (*.f64 -1 z) (log.f64 z))
(*.f64 -1 z)
(+.f64 (*.f64 -1 z) (*.f64 (cbrt.f64 -1) (log.f64 (/.f64 1 z))))
(+.f64 (*.f64 -1 z) (*.f64 (cbrt.f64 -1) (log.f64 (/.f64 1 z))))
(+.f64 (*.f64 -1 z) (*.f64 (cbrt.f64 -1) (log.f64 (/.f64 1 z))))
(*.f64 -1 z)
(+.f64 (*.f64 -1 z) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))
(+.f64 (*.f64 -1 z) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))
(+.f64 (*.f64 -1 z) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))
Outputs
(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) (*.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) (*.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) (*.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) (*.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) (*.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) (*.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) (*.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) (*.f64 -1 (log.f64 (/.f64 -1 z)))) 2) 1/3)
(cbrt.f64 (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 (cbrt.f64 -1) (pow.f64 (log.f64 (/.f64 1 z)) 1/3))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (neg.f64 (log.f64 z))))
(*.f64 (cbrt.f64 -1) (pow.f64 (log.f64 (/.f64 1 z)) 1/3))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (neg.f64 (log.f64 z))))
(*.f64 (cbrt.f64 -1) (pow.f64 (log.f64 (/.f64 1 z)) 1/3))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (neg.f64 (log.f64 z))))
(*.f64 (cbrt.f64 -1) (pow.f64 (log.f64 (/.f64 1 z)) 1/3))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (neg.f64 (log.f64 z))))
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))) 1/3)
(cbrt.f64 (log.f64 z))
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))) 1/3)
(cbrt.f64 (log.f64 z))
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))) 1/3)
(cbrt.f64 (log.f64 z))
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))) 1/3)
(cbrt.f64 (log.f64 z))
(log.f64 z)
(+.f64 (*.f64 -1 z) (log.f64 z))
(fma.f64 -1 z (log.f64 z))
(-.f64 (log.f64 z) z)
(+.f64 (*.f64 -1 z) (log.f64 z))
(fma.f64 -1 z (log.f64 z))
(-.f64 (log.f64 z) z)
(+.f64 (*.f64 -1 z) (log.f64 z))
(fma.f64 -1 z (log.f64 z))
(-.f64 (log.f64 z) z)
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (*.f64 -1 z) (*.f64 (cbrt.f64 -1) (log.f64 (/.f64 1 z))))
(fma.f64 -1 z (*.f64 (neg.f64 (log.f64 z)) (cbrt.f64 -1)))
(-.f64 (neg.f64 (*.f64 (cbrt.f64 -1) (log.f64 z))) 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 -1 z) (*.f64 (cbrt.f64 -1) (log.f64 (/.f64 1 z))))
(fma.f64 -1 z (*.f64 (neg.f64 (log.f64 z)) (cbrt.f64 -1)))
(-.f64 (neg.f64 (*.f64 (cbrt.f64 -1) (log.f64 z))) 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 -1 z) (*.f64 (cbrt.f64 -1) (log.f64 (/.f64 1 z))))
(fma.f64 -1 z (*.f64 (neg.f64 (log.f64 z)) (cbrt.f64 -1)))
(-.f64 (neg.f64 (*.f64 (cbrt.f64 -1) (log.f64 z))) 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 (*.f64 -1 z) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))
(fma.f64 -1 z (log.f64 z))
(-.f64 (log.f64 z) z)
(+.f64 (*.f64 -1 z) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))
(fma.f64 -1 z (log.f64 z))
(-.f64 (log.f64 z) z)
(+.f64 (*.f64 -1 z) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))
(fma.f64 -1 z (log.f64 z))
(-.f64 (log.f64 z) z)

prune242.0ms (5.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1022104
Fresh156
Picked011
Done011
Total1039112
Error
0b
Counts
112 → 9
Alt Table
StatusErrorProgram
17.9b
(fma.f64 x 1/2 (fma.f64 (*.f64 (log.f64 z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (fma.f64 y z y)))
✓0.3b
(fma.f64 y (fma.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) (cbrt.f64 (log.f64 z)) (neg.f64 z)) (fma.f64 1/2 x y))
18.0b
(fma.f64 x 1/2 (fma.f64 (cbrt.f64 (*.f64 y (log.f64 z))) (pow.f64 (cbrt.f64 (*.f64 y (log.f64 z))) 2) (fma.f64 y z y)))
✓0.1b
(fma.f64 x 1/2 (+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 -1 (*.f64 y z)) y)))
0.1b
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))
42.9b
(fma.f64 x 1/2 (+.f64 (*.f64 y (log.f64 z)) (exp.f64 (log.f64 (fma.f64 y z y)))))
0.8b
(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)))
0.3b
(fma.f64 y (fma.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 z) 4)) 1/3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 z))) 2)) (cbrt.f64 (log.f64 z)) (neg.f64 z)) (fma.f64 1/2 x y))
17.9b
(fma.f64 x 1/2 (fma.f64 (pow.f64 (cbrt.f64 (log.f64 z)) 2) (*.f64 (cbrt.f64 (log.f64 z)) y) (fma.f64 y z y)))
Compiler

Compiled 2157 to 1020 computations (52.7% saved)

regimes84.0ms (2%)

Accuracy

Total -49.9b remaining (-54189.9%)

Threshold costs -49.9b (-54189.9%)

Counts
18 → 1
Calls
Call 1
Inputs
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))
(fma.f64 y (fma.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 z) 4)) 1/3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 z))) 2)) (cbrt.f64 (log.f64 z)) (neg.f64 z)) (fma.f64 1/2 x y))
(fma.f64 x 1/2 (fma.f64 (*.f64 (log.f64 z) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (fma.f64 y z y)))
(fma.f64 x 1/2 (fma.f64 (cbrt.f64 (*.f64 y (log.f64 z))) (pow.f64 (cbrt.f64 (*.f64 y (log.f64 z))) 2) (fma.f64 y z y)))
(fma.f64 x 1/2 (fma.f64 (pow.f64 (cbrt.f64 (log.f64 z)) 2) (*.f64 (cbrt.f64 (log.f64 z)) y) (fma.f64 y z y)))
(fma.f64 x 1/2 (+.f64 (*.f64 y (log.f64 z)) (exp.f64 (log.f64 (fma.f64 y z y)))))
(fma.f64 y (fma.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) (cbrt.f64 (log.f64 z)) (neg.f64 z)) (fma.f64 1/2 x y))
(fma.f64 y (/.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 z z)) (+.f64 z (log.f64 z))) (fma.f64 1/2 x y))
(fma.f64 y (pow.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) 3) (fma.f64 1/2 x y))
(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)))
(fma.f64 x 1/2 (+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 -1 (*.f64 y z)) y)))
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))
(fma.f64 x 1/2 (fma.f64 y (pow.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) 3) y))
(fma.f64 x 1/2 (/.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))))
(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))
(fma.f64 x 1/2 (fma.f64 y (/.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 z z)) (+.f64 z (log.f64 z))) y))
(fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))
(+.f64 (*.f64 x 1/2) (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
Outputs
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))
Results
10.0ms0.1bx
12.0ms0.1by
12.0ms0.1bz
9.0ms0.1b(+.f64 (*.f64 x 1/2) (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
11.0ms0.1b(*.f64 x 1/2)
9.0ms0.1b(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
12.0ms0.1b(+.f64 (-.f64 1 z) (log.f64 z))
Compiler

Compiled 357 to 165 computations (53.8% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0914
11114
21614
31814
41914
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))
Outputs
(fma.f64 y (-.f64 (log.f64 z) z) (fma.f64 1/2 x y))

end18.0ms (0.4%)

Stop Event
1×fuel
Compiler

Compiled 26 to 16 computations (38.5% saved)

Profiling

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