Details

Time bar (total: 7.3s)

analyze129.0ms (1.8%)

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
Compiler

Compiled 16 to 12 computations (25% saved)

sample1.1s (15.1%)

Results
995.0ms8256×body256valid
91.0ms794×body256invalid

preprocess140.0ms (1.9%)

Algorithm
egg-herbie
Rules
866×unsub-neg_binary64
811×fma-def_binary64
534×sub-neg_binary64
499×associate-+r+_binary64
369×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02664
18264
220964
349164
4116156
5253456
6429956
7561356
8645656
9655156
10659056
11662556
12681156
13709656
14732756
15744456
16744456
17791956
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 18 to 14 computations (22.2% saved)

simplify163.0ms (2.2%)

Algorithm
egg-herbie
Rules
982×fma-def_binary64
790×fma-neg_binary64
746×unsub-neg_binary64
520×distribute-rgt-in_binary64
384×associate-+l+_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01216
12916
26516
314316
433614
571814
6124014
7188114
8283314
9332314
10442514
11515314
12543814
13615314
14668614
15690914
16705614
17716614
18719214
19732114
20735314
21739514
22743514
23743514
24743514
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))

eval1.0ms (0%)

Compiler

Compiled 25 to 15 computations (40% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.1b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
0.1b
(+.f64 (*.f64 x 1/2) (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
0.1b
(fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))
Compiler

Compiled 28 to 19 computations (32.1% saved)

localize11.0ms (0.2%)

Local error

Found 6 expressions with local error:

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

Compiled 30 to 9 computations (70% saved)

series44.0ms (0.6%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
28.0ms
y
@0
(fma.f64 y (-.f64 (log.f64 z) z) y)
5.0ms
y
@-inf
(fma.f64 y (-.f64 (log.f64 z) z) y)
2.0ms
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))

rewrite63.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
515×unpow-prod-down_binary64
472×prod-diff_binary64
425×log-prod_binary64
282×pow-prod-down_binary64
254×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0930
118930
2241530
Stop Event
node limit
Counts
3 → 186
Calls
Call 1
Inputs
(fma.f64 y (-.f64 (log.f64 z) z) y)
(-.f64 (log.f64 z) z)
(fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 y (-.f64 (log.f64 z) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (-.f64 (log.f64 z) z)) y)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 y (-.f64 (log.f64 z) z) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y (-.f64 (log.f64 z) z)) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) z) y))) 2)) (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 (pow.f64 1 1/3) (fma.f64 y (-.f64 (log.f64 z) z) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) y))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) y))) 2) 3) (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) y))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y (-.f64 (log.f64 z) z)) 3) (pow.f64 y 3)) (+.f64 (pow.f64 (*.f64 y (-.f64 (log.f64 z) z)) 2) (-.f64 (*.f64 y y) (*.f64 (*.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)) 2) (*.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) 2) 1/2)))) (#(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 log1p.f64 (expm1.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 exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 y (-.f64 (log.f64 z) z) y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 y (-.f64 (log.f64 z) z) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.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 (pow.f64 (cbrt.f64 (/.f64 z (exp.f64 z))) 2)) (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) 3) (pow.f64 z 3)) (pow.f64 (/.f64 1 (fma.f64 z (+.f64 z (log.f64 z)) (pow.f64 (log.f64 z) 2))) 1))))) (#(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 egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 z z)) (pow.f64 (/.f64 1 (+.f64 z (log.f64 z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (log.f64 z)) (sqrt.f64 z)) (-.f64 (sqrt.f64 (log.f64 z)) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (-.f64 (log.f64 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (sqrt.f64 (log.f64 z)) (sqrt.f64 z)) 1) (pow.f64 (-.f64 (sqrt.f64 (log.f64 z)) (sqrt.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (log.f64 z) z) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (log.f64 z) z) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 (log.f64 z) z) (cbrt.f64 (-.f64 (log.f64 z) z))) 2) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 (log.f64 z) 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(fma.f64 y (-.f64 (log.f64 z) z) y)) 3))))) (#(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 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 exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.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 exp.f64 (*.f64 (log.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 exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 1/2 (fma.f64 y (-.f64 (log.f64 z) z) y))))))))

simplify111.0ms (1.5%)

Algorithm
egg-herbie
Rules
711×unsub-neg_binary64
548×sub-neg_binary64
512×fma-def_binary64
456×distribute-lft-out--_binary64
368×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
054837
1164735
2391735
3979735
42715735
55099735
66288735
76893735
87254735
97481735
107567735
Stop Event
node limit
Counts
258 → 213
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))

localize20.0ms (0.3%)

Local error

Found 6 expressions with local error:

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

Compiled 42 to 24 computations (42.9% saved)

series7.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

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

rewrite76.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
670×fma-def_binary64
639×log-prod_binary64
358×pow2_binary64
313×fma-neg_binary64
245×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01237
126837
2389837
Stop Event
node limit
Counts
3 → 188
Calls
Call 1
Inputs
(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
(+.f64 (-.f64 1 z) (log.f64 z))
(+.f64 (*.f64 x 1/2) (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
Outputs
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z)) 3)) (+.f64 (pow.f64 (*.f64 y (-.f64 1 z)) 2) (-.f64 (pow.f64 (*.f64 y (log.f64 z)) 2) (*.f64 (*.f64 y (-.f64 1 z)) (*.f64 y (log.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y (-.f64 1 z)) 2) (pow.f64 (*.f64 y (log.f64 z)) 2)) (-.f64 (*.f64 y (-.f64 1 z)) (*.f64 y (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (-.f64 1 z) 3) (pow.f64 (log.f64 z) 3)) y) (fma.f64 (log.f64 z) (-.f64 (log.f64 z) (-.f64 1 z)) (pow.f64 (-.f64 1 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (-.f64 1 z) 2) (pow.f64 (log.f64 z) 2)) y) (-.f64 1 (+.f64 z (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 (pow.f64 (-.f64 1 z) 3) (pow.f64 (log.f64 z) 3))) (fma.f64 (log.f64 z) (-.f64 (log.f64 z) (-.f64 1 z)) (pow.f64 (-.f64 1 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 (pow.f64 (-.f64 1 z) 2) (pow.f64 (log.f64 z) 2))) (-.f64 1 (+.f64 z (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (*.f64 z (exp.f64 (-.f64 1 z))) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 y (log.f64 z))) (exp.f64 (*.f64 y (-.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 3))))) (#(struct:change 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(log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))) 2) (*.f64 (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))) y) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) (sqrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 z)) (*.f64 (sqrt.f64 (-.f64 1 z)) y) (fma.f64 y (log.f64 z) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (-.f64 1 z)) (fma.f64 y (log.f64 z) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (+.f64 (-.f64 1 z) (log.f64 z))) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 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y) (fma.f64 y (log.f64 z) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1 z) (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 y (log.f64 z) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (cbrt.f64 (pow.f64 (-.f64 1 z) 2))) (cbrt.f64 (-.f64 1 z)) (fma.f64 y (log.f64 z) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 (-.f64 1 z))) (sqrt.f64 (-.f64 1 z)) (fma.f64 y (log.f64 z) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))) 2)) (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 (+.f64 (-.f64 1 z) (log.f64 z)))) (sqrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))))))

simplify81.0ms (1.1%)

Algorithm
egg-herbie
Rules
771×unsub-neg_binary64
680×sub-neg_binary64
617×fma-def_binary64
462×fma-neg_binary64
352×distribute-neg-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
040871
1115871
2295867
3871765
42396765
55117765
66911765
77730765
Stop Event
node limit
Counts
260 → 212
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 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 (+.f64 1 (log.f64 z)) y)
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (log.f64 z)) y))
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))) (*.f64 -1 (*.f64 y z)))
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))) (*.f64 -1 (*.f64 y z)))
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))) (*.f64 -1 (*.f64 y z)))
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(+.f64 1 (log.f64 z))
(+.f64 (*.f64 -1 z) (+.f64 1 (log.f64 z)))
(+.f64 (*.f64 -1 z) (+.f64 1 (log.f64 z)))
(+.f64 (*.f64 -1 z) (+.f64 1 (log.f64 z)))
(*.f64 -1 z)
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) 1))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) 1))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) 1))
(*.f64 -1 z)
(+.f64 (*.f64 -1 z) (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))
(+.f64 (*.f64 -1 z) (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))
(+.f64 (*.f64 -1 z) (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 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 1/2 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 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 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 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 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (log.f64 z)) y)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (log.f64 z)) y)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (log.f64 z)) y)))
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))) (*.f64 -1 (*.f64 y z))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))) (*.f64 -1 (*.f64 y z))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))) (*.f64 -1 (*.f64 y z))))
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))))
Outputs
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(+.f64 y (*.f64 (-.f64 (log.f64 z) z) y))
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(+.f64 y (*.f64 (-.f64 (log.f64 z) z) y))
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(+.f64 y (*.f64 (-.f64 (log.f64 z) z) y))
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(+.f64 y (*.f64 (-.f64 (log.f64 z) z) y))
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(+.f64 y (*.f64 (-.f64 (log.f64 z) z) y))
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(+.f64 y (*.f64 (-.f64 (log.f64 z) z) y))
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(+.f64 y (*.f64 (-.f64 (log.f64 z) z) y))
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(+.f64 y (*.f64 (-.f64 (log.f64 z) z) y))
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(+.f64 y (*.f64 (-.f64 (log.f64 z) z) y))
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(+.f64 y (*.f64 (-.f64 (log.f64 z) z) y))
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(+.f64 y (*.f64 (-.f64 (log.f64 z) z) y))
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(+.f64 y (*.f64 (-.f64 (log.f64 z) z) y))
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(*.f64 y (+.f64 1 (log.f64 z)))
(fma.f64 y (log.f64 z) y)
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (log.f64 z)) y))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(+.f64 y (*.f64 (-.f64 (log.f64 z) z) y))
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (log.f64 z)) y))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(+.f64 y (*.f64 (-.f64 (log.f64 z) z) y))
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (log.f64 z)) y))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(+.f64 y (*.f64 (-.f64 (log.f64 z) z) y))
(+.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 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))) (*.f64 -1 (*.f64 y z)))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(+.f64 y (*.f64 (-.f64 (log.f64 z) z) y))
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))) (*.f64 -1 (*.f64 y z)))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(+.f64 y (*.f64 (-.f64 (log.f64 z) z) y))
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))) (*.f64 -1 (*.f64 y z)))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(+.f64 y (*.f64 (-.f64 (log.f64 z) z) y))
(+.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 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(+.f64 y (*.f64 (-.f64 (log.f64 z) z) y))
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(+.f64 y (*.f64 (-.f64 (log.f64 z) z) y))
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(+.f64 y (*.f64 (-.f64 (log.f64 z) z) y))
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(+.f64 1 (log.f64 z))
(+.f64 (*.f64 -1 z) (+.f64 1 (log.f64 z)))
(-.f64 (+.f64 1 (log.f64 z)) z)
(+.f64 (log.f64 z) (-.f64 1 z))
(+.f64 (*.f64 -1 z) (+.f64 1 (log.f64 z)))
(-.f64 (+.f64 1 (log.f64 z)) z)
(+.f64 (log.f64 z) (-.f64 1 z))
(+.f64 (*.f64 -1 z) (+.f64 1 (log.f64 z)))
(-.f64 (+.f64 1 (log.f64 z)) z)
(+.f64 (log.f64 z) (-.f64 1 z))
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) 1))
(-.f64 (+.f64 1 (log.f64 z)) z)
(+.f64 (log.f64 z) (-.f64 1 z))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) 1))
(-.f64 (+.f64 1 (log.f64 z)) z)
(+.f64 (log.f64 z) (-.f64 1 z))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) 1))
(-.f64 (+.f64 1 (log.f64 z)) z)
(+.f64 (log.f64 z) (-.f64 1 z))
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (*.f64 -1 z) (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))
(-.f64 (+.f64 1 (log.f64 z)) z)
(+.f64 (log.f64 z) (-.f64 1 z))
(+.f64 (*.f64 -1 z) (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))
(-.f64 (+.f64 1 (log.f64 z)) z)
(+.f64 (log.f64 z) (-.f64 1 z))
(+.f64 (*.f64 -1 z) (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))
(-.f64 (+.f64 1 (log.f64 z)) z)
(+.f64 (log.f64 z) (-.f64 1 z))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(+.f64 y (*.f64 (-.f64 (log.f64 z) z) y))
(+.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 (log.f64 z)) z)))
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(fma.f64 y (-.f64 (+.f64 1 (log.f64 z)) z) (*.f64 1/2 x))
(+.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))
(+.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 y (-.f64 (+.f64 1 (log.f64 z)) z) (*.f64 1/2 x))
(+.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))
(+.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 y (-.f64 (+.f64 1 (log.f64 z)) z) (*.f64 1/2 x))
(+.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))
(*.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 y (-.f64 (+.f64 1 (log.f64 z)) z) (*.f64 1/2 x))
(+.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))
(+.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 y (-.f64 (+.f64 1 (log.f64 z)) z) (*.f64 1/2 x))
(+.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))
(+.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 y (-.f64 (+.f64 1 (log.f64 z)) z) (*.f64 1/2 x))
(+.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))
(*.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 y (-.f64 (+.f64 1 (log.f64 z)) z) (*.f64 1/2 x))
(+.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))
(+.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 y (-.f64 (+.f64 1 (log.f64 z)) z) (*.f64 1/2 x))
(+.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))
(+.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 y (-.f64 (+.f64 1 (log.f64 z)) z) (*.f64 1/2 x))
(+.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))
(*.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 y (-.f64 (+.f64 1 (log.f64 z)) z) (*.f64 1/2 x))
(+.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))
(+.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 y (-.f64 (+.f64 1 (log.f64 z)) z) (*.f64 1/2 x))
(+.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))
(+.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 y (-.f64 (+.f64 1 (log.f64 z)) z) (*.f64 1/2 x))
(+.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))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(+.f64 y (*.f64 (-.f64 (log.f64 z) z) y))
(+.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 (log.f64 z)) z)))
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(fma.f64 y (-.f64 (+.f64 1 (log.f64 z)) z) (*.f64 1/2 x))
(+.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))
(+.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 y (-.f64 (+.f64 1 (log.f64 z)) z) (*.f64 1/2 x))
(+.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))
(+.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 y (-.f64 (+.f64 1 (log.f64 z)) z) (*.f64 1/2 x))
(+.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))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(+.f64 y (*.f64 (-.f64 (log.f64 z) z) y))
(+.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 (log.f64 z)) z)))
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(fma.f64 y (-.f64 (+.f64 1 (log.f64 z)) z) (*.f64 1/2 x))
(+.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))
(+.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 y (-.f64 (+.f64 1 (log.f64 z)) z) (*.f64 1/2 x))
(+.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))
(+.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 y (-.f64 (+.f64 1 (log.f64 z)) z) (*.f64 1/2 x))
(+.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))
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(fma.f64 1/2 x (*.f64 y (+.f64 1 (log.f64 z))))
(fma.f64 y (+.f64 1 (log.f64 z)) (*.f64 1/2 x))
(fma.f64 1/2 x (fma.f64 y (log.f64 z) y))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x y))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (log.f64 z)) y)))
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(fma.f64 y (-.f64 (+.f64 1 (log.f64 z)) z) (*.f64 1/2 x))
(+.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))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (log.f64 z)) y)))
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(fma.f64 y (-.f64 (+.f64 1 (log.f64 z)) z) (*.f64 1/2 x))
(+.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))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (log.f64 z)) y)))
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(fma.f64 y (-.f64 (+.f64 1 (log.f64 z)) z) (*.f64 1/2 x))
(+.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))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))) (*.f64 -1 (*.f64 y z))))
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(fma.f64 y (-.f64 (+.f64 1 (log.f64 z)) z) (*.f64 1/2 x))
(+.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))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))) (*.f64 -1 (*.f64 y z))))
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(fma.f64 y (-.f64 (+.f64 1 (log.f64 z)) z) (*.f64 1/2 x))
(+.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))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))) (*.f64 -1 (*.f64 y z))))
(fma.f64 1/2 x (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(fma.f64 y (-.f64 (+.f64 1 (log.f64 z)) z) (*.f64 1/2 x))
(+.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))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 1 (+.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 y (-.f64 (+.f64 1 (log.f64 z)) z) (*.f64 1/2 x))
(+.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))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 1 (+.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 y (-.f64 (+.f64 1 (log.f64 z)) z) (*.f64 1/2 x))
(+.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))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 1 (+.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 y (-.f64 (+.f64 1 (log.f64 z)) z) (*.f64 1/2 x))
(+.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))

eval118.0ms (1.6%)

Compiler

Compiled 7734 to 3955 computations (48.9% saved)

prune72.0ms (1%)

Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New41114425
Fresh000
Picked011
Done101
Total41215427
Error
0b
Counts
427 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
18.2b
(+.f64 (*.f64 x 1/2) (*.f64 y (cbrt.f64 (pow.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 3))))
32.4b
(+.f64 (*.f64 x 1/2) (pow.f64 (sqrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) 2))
0.7b
(+.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) 3))
14.6b
(+.f64 (*.f64 x 1/2) (*.f64 y (neg.f64 z)))
31.9b
(fma.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x 1/2))
0.1b
(fma.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y (*.f64 x 1/2))
15.9b
(+.f64 (*.f64 x 1/2) (/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 1 z) 2) (pow.f64 (log.f64 z) 2)) y) (-.f64 1 (+.f64 z (log.f64 z)))))
32.7b
(*.f64 1/2 x)
19.4b
(+.f64 (*.f64 x 1/2) (*.f64 (+.f64 1 (log.f64 z)) y))
18.2b
(fma.f64 x 1/2 (fma.f64 y (cbrt.f64 (pow.f64 (-.f64 (log.f64 z) z) 3)) y))
0.1b
(+.f64 (*.f64 x 1/2) (+.f64 (*.f64 y (log.f64 z)) (*.f64 y (-.f64 1 z))))
30.5b
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
32.4b
(/.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 2)) (-.f64 (*.f64 x 1/2) (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))))
0.1b
(+.f64 (*.f64 x 1/2) (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
0.2b
(+.f64 (*.f64 x 1/2) (fma.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) (*.f64 (cbrt.f64 (log.f64 z)) y) (*.f64 y (-.f64 1 z))))
Compiler

Compiled 497 to 359 computations (27.8% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 33 to 19 computations (42.4% saved)

series3.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite43.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
990×prod-diff_binary64
512×log-prod_binary64
332×fma-def_binary64
305×pow2_binary64
209×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01116
123216
2301416
Stop Event
node limit
Counts
1 → 30
Calls
Call 1
Inputs
(fma.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y (*.f64 x 1/2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/2) (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y) 1) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y (*.f64 x 1/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y (*.f64 x 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y (*.f64 x 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y (*.f64 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y (*.f64 x 1/2))) (cbrt.f64 (pow.f64 (fma.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y (*.f64 x 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y (*.f64 x 1/2)) 2)) (cbrt.f64 (fma.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y (*.f64 x 1/2))) (sqrt.f64 (fma.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y) 3) (pow.f64 (*.f64 x 1/2) 3)) (+.f64 (pow.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y) 2) (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y) (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y) 2) (*.f64 (*.f64 x x) 1/4)) (-.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y (*.f64 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y (*.f64 x 1/2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y (*.f64 x 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y (*.f64 x 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y (*.f64 x 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y (*.f64 x 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (sqrt.f64 (exp.f64 x)) (exp.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/2))) (exp.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y)) (+.f64 1 (expm1.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y (*.f64 x 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y (*.f64 x 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y (*.f64 x 1/2))))))))

simplify153.0ms (2.1%)

Algorithm
egg-herbie
Rules
697×unsub-neg_binary64
616×sub-neg_binary64
551×fma-def_binary64
533×distribute-rgt-in_binary64
401×fma-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
035613
196505
2241503
3747443
42053443
54349443
65997443
76885443
87242443
97366443
107393443
117399443
127405443
137405443
147405443
157432443
167432443
Stop Event
node limit
Counts
66 → 42
Calls
Call 1
Inputs
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (log.f64 z)) y)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (log.f64 z)) y)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (log.f64 z)) y)))
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))) (*.f64 -1 (*.f64 y z))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))) (*.f64 -1 (*.f64 y z))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))) (*.f64 -1 (*.f64 y z))))
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 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 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 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 1/2 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 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)))
Outputs
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(fma.f64 1/2 x (*.f64 (+.f64 1 (log.f64 z)) y))
(fma.f64 1/2 x (+.f64 y (*.f64 (log.f64 z) y)))
(fma.f64 1/2 x (fma.f64 (log.f64 z) y y))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (log.f64 z)) y)))
(fma.f64 1/2 x (fma.f64 -1 (*.f64 z y) (*.f64 (+.f64 1 (log.f64 z)) y)))
(fma.f64 1/2 x (*.f64 y (+.f64 (log.f64 z) (-.f64 1 z))))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (log.f64 z)) y)))
(fma.f64 1/2 x (fma.f64 -1 (*.f64 z y) (*.f64 (+.f64 1 (log.f64 z)) y)))
(fma.f64 1/2 x (*.f64 y (+.f64 (log.f64 z) (-.f64 1 z))))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (log.f64 z)) y)))
(fma.f64 1/2 x (fma.f64 -1 (*.f64 z y) (*.f64 (+.f64 1 (log.f64 z)) y)))
(fma.f64 1/2 x (*.f64 y (+.f64 (log.f64 z) (-.f64 1 z))))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 z y))
(*.f64 z (neg.f64 y))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))) (*.f64 -1 (*.f64 y z))))
(fma.f64 1/2 x (fma.f64 -1 (*.f64 z y) (*.f64 (+.f64 1 (log.f64 z)) y)))
(fma.f64 1/2 x (*.f64 y (+.f64 (log.f64 z) (-.f64 1 z))))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))) (*.f64 -1 (*.f64 y z))))
(fma.f64 1/2 x (fma.f64 -1 (*.f64 z y) (*.f64 (+.f64 1 (log.f64 z)) y)))
(fma.f64 1/2 x (*.f64 y (+.f64 (log.f64 z) (-.f64 1 z))))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))) (*.f64 -1 (*.f64 y z))))
(fma.f64 1/2 x (fma.f64 -1 (*.f64 z y) (*.f64 (+.f64 1 (log.f64 z)) y)))
(fma.f64 1/2 x (*.f64 y (+.f64 (log.f64 z) (-.f64 1 z))))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 z y))
(*.f64 z (neg.f64 y))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))))
(fma.f64 1/2 x (fma.f64 -1 (*.f64 z y) (*.f64 (+.f64 1 (log.f64 z)) y)))
(fma.f64 1/2 x (*.f64 y (+.f64 (log.f64 z) (-.f64 1 z))))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))))
(fma.f64 1/2 x (fma.f64 -1 (*.f64 z y) (*.f64 (+.f64 1 (log.f64 z)) y)))
(fma.f64 1/2 x (*.f64 y (+.f64 (log.f64 z) (-.f64 1 z))))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))))
(fma.f64 1/2 x (fma.f64 -1 (*.f64 z y) (*.f64 (+.f64 1 (log.f64 z)) y)))
(fma.f64 1/2 x (*.f64 y (+.f64 (log.f64 z) (-.f64 1 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 (+.f64 1 (log.f64 z)) z)))
(fma.f64 1/2 x (fma.f64 -1 (*.f64 z y) (*.f64 (+.f64 1 (log.f64 z)) y)))
(fma.f64 1/2 x (*.f64 y (+.f64 (log.f64 z) (-.f64 1 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 (fma.f64 -1 (*.f64 z y) (*.f64 (+.f64 1 (log.f64 z)) y)))
(fma.f64 1/2 x (*.f64 y (+.f64 (log.f64 z) (-.f64 1 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 (fma.f64 -1 (*.f64 z y) (*.f64 (+.f64 1 (log.f64 z)) y)))
(fma.f64 1/2 x (*.f64 y (+.f64 (log.f64 z) (-.f64 1 z))))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(fma.f64 1/2 x (fma.f64 -1 (*.f64 z y) (*.f64 (+.f64 1 (log.f64 z)) y)))
(fma.f64 1/2 x (*.f64 y (+.f64 (log.f64 z) (-.f64 1 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 (fma.f64 -1 (*.f64 z y) (*.f64 (+.f64 1 (log.f64 z)) y)))
(fma.f64 1/2 x (*.f64 y (+.f64 (log.f64 z) (-.f64 1 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 (fma.f64 -1 (*.f64 z y) (*.f64 (+.f64 1 (log.f64 z)) y)))
(fma.f64 1/2 x (*.f64 y (+.f64 (log.f64 z) (-.f64 1 z))))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(fma.f64 1/2 x (fma.f64 -1 (*.f64 z y) (*.f64 (+.f64 1 (log.f64 z)) y)))
(fma.f64 1/2 x (*.f64 y (+.f64 (log.f64 z) (-.f64 1 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 (fma.f64 -1 (*.f64 z y) (*.f64 (+.f64 1 (log.f64 z)) y)))
(fma.f64 1/2 x (*.f64 y (+.f64 (log.f64 z) (-.f64 1 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 (fma.f64 -1 (*.f64 z y) (*.f64 (+.f64 1 (log.f64 z)) y)))
(fma.f64 1/2 x (*.f64 y (+.f64 (log.f64 z) (-.f64 1 z))))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(fma.f64 1/2 x (fma.f64 -1 (*.f64 z y) (*.f64 (+.f64 1 (log.f64 z)) y)))
(fma.f64 1/2 x (*.f64 y (+.f64 (log.f64 z) (-.f64 1 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 (fma.f64 -1 (*.f64 z y) (*.f64 (+.f64 1 (log.f64 z)) y)))
(fma.f64 1/2 x (*.f64 y (+.f64 (log.f64 z) (-.f64 1 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 (fma.f64 -1 (*.f64 z y) (*.f64 (+.f64 1 (log.f64 z)) y)))
(fma.f64 1/2 x (*.f64 y (+.f64 (log.f64 z) (-.f64 1 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 (+.f64 1 (log.f64 z)) z)))
(fma.f64 1/2 x (fma.f64 -1 (*.f64 z y) (*.f64 (+.f64 1 (log.f64 z)) y)))
(fma.f64 1/2 x (*.f64 y (+.f64 (log.f64 z) (-.f64 1 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 (fma.f64 -1 (*.f64 z y) (*.f64 (+.f64 1 (log.f64 z)) y)))
(fma.f64 1/2 x (*.f64 y (+.f64 (log.f64 z) (-.f64 1 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 (fma.f64 -1 (*.f64 z y) (*.f64 (+.f64 1 (log.f64 z)) y)))
(fma.f64 1/2 x (*.f64 y (+.f64 (log.f64 z) (-.f64 1 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 (+.f64 1 (log.f64 z)) z)))
(fma.f64 1/2 x (fma.f64 -1 (*.f64 z y) (*.f64 (+.f64 1 (log.f64 z)) y)))
(fma.f64 1/2 x (*.f64 y (+.f64 (log.f64 z) (-.f64 1 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 (fma.f64 -1 (*.f64 z y) (*.f64 (+.f64 1 (log.f64 z)) y)))
(fma.f64 1/2 x (*.f64 y (+.f64 (log.f64 z) (-.f64 1 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 (fma.f64 -1 (*.f64 z y) (*.f64 (+.f64 1 (log.f64 z)) y)))
(fma.f64 1/2 x (*.f64 y (+.f64 (log.f64 z) (-.f64 1 z))))
(fma.f64 1/2 x (fma.f64 y (-.f64 (log.f64 z) z) y))

localize3.0ms (0%)

Compiler

Compiled 8 to 6 computations (25% saved)

localize14.0ms (0.2%)

Local error

Found 6 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (+.f64 1 (log.f64 z)) y)
0.0b
(+.f64 (*.f64 x 1/2) (*.f64 (+.f64 1 (log.f64 z)) y))
0.0b
(+.f64 1 (log.f64 z))
0.0b
(+.f64 1 (log.f64 z))
0.0b
(+.f64 (*.f64 x 1/2) (*.f64 (+.f64 1 (log.f64 z)) y))
0.3b
(*.f64 (+.f64 1 (log.f64 z)) y)
Compiler

Compiled 33 to 19 computations (42.4% saved)

series26.0ms (0.4%)

Counts
3 → 52
Calls

18 calls:

TimeVariablePointExpression
10.0ms
z
@-inf
(*.f64 (+.f64 1 (log.f64 z)) y)
7.0ms
z
@0
(*.f64 (+.f64 1 (log.f64 z)) y)
5.0ms
z
@inf
(*.f64 (+.f64 1 (log.f64 z)) y)
0.0ms
y
@inf
(*.f64 (+.f64 1 (log.f64 z)) y)
0.0ms
y
@0
(*.f64 (+.f64 1 (log.f64 z)) y)

rewrite57.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
518×log-prod_binary64
421×fma-def_binary64
397×exp-prod_binary64
351×pow-prod-down_binary64
292×pow2_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01128
122928
2296924
Stop Event
node limit
Counts
3 → 160
Calls
Call 1
Inputs
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 (*.f64 x 1/2) (*.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 1 (log.f64 z))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/2 (fma.f64 (log.f64 z) y y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 (*.f64 x 1/2) (fma.f64 (log.f64 z) y y))) (/.f64 (pow.f64 (fma.f64 (log.f64 z) y y) 2) (-.f64 (*.f64 x 1/2) (fma.f64 (log.f64 z) y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 1/2 (fma.f64 (log.f64 z) y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 1/2 (fma.f64 (log.f64 z) y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 1/2 (fma.f64 (log.f64 z) y y))) (cbrt.f64 (pow.f64 (fma.f64 x 1/2 (fma.f64 (log.f64 z) y y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1/2 (fma.f64 (log.f64 z) y y)) 2)) (cbrt.f64 (fma.f64 x 1/2 (fma.f64 (log.f64 z) y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 1/2 (fma.f64 (log.f64 z) y y))) (sqrt.f64 (fma.f64 x 1/2 (fma.f64 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(#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (*.f64 z (E.f64)) y) (+.f64 1 (expm1.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 (log.f64 z) y y))) (+.f64 1 (expm1.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/2))) (pow.f64 (*.f64 z (E.f64)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (sqrt.f64 (exp.f64 x)) (+.f64 1 (expm1.f64 (fma.f64 (log.f64 z) y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/2))) (+.f64 1 (expm1.f64 (fma.f64 (log.f64 z) y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 1/2 (fma.f64 (log.f64 z) y y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 1/2 (fma.f64 (log.f64 z) y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 1/2 (fma.f64 (log.f64 z) y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x 1/2 (fma.f64 (log.f64 z) y y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x 1/2 (fma.f64 (log.f64 z) y y)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x 1/2 (fma.f64 (log.f64 z) y y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x 1/2 (fma.f64 (log.f64 z) y y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x 1/2 (fma.f64 (log.f64 z) y y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 1/2 (fma.f64 (log.f64 z) y y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (log.f64 z) y y) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 1/2) (fma.f64 (log.f64 z) y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (log.f64 z)) y (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (+.f64 1 (log.f64 z)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (log.f64 z) y y) 1 (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (fma.f64 (log.f64 z) y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 x (fma.f64 (log.f64 z) y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 1/2) 1 (fma.f64 (log.f64 z) y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) 1/2) (fma.f64 (log.f64 z) y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (log.f64 z)) 2)) (*.f64 (cbrt.f64 (+.f64 1 (log.f64 z))) y) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (+.f64 1 (log.f64 z))) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (fma.f64 (log.f64 z) y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)) (fma.f64 (log.f64 z) y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 (log.f64 z) y y)) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 z) y y)) 2) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 z) y y)) 2) (cbrt.f64 (fma.f64 (log.f64 z) y y)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) (fma.f64 (log.f64 z) y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (sqrt.f64 (log.f64 z))) (*.f64 (hypot.f64 1 (sqrt.f64 (log.f64 z))) y) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (+.f64 1 (log.f64 z))) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (fma.f64 (log.f64 z) y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (log.f64 z) y y)) (sqrt.f64 (fma.f64 (log.f64 z) y y)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (fma.f64 (log.f64 z) y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 (log.f64 z) y y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 1 (log.f64 z)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 1 (log.f64 z)) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (cbrt.f64 (pow.f64 (+.f64 1 (log.f64 z)) 2))) (cbrt.f64 (+.f64 1 (log.f64 z))) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (hypot.f64 1 (sqrt.f64 (log.f64 z)))) (hypot.f64 1 (sqrt.f64 (log.f64 z))) (*.f64 x 1/2))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1 (log.f64 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (log.f64 z))) (/.f64 (pow.f64 (log.f64 z) 2) (-.f64 1 (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (log.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (log.f64 z))) (cbrt.f64 (pow.f64 (+.f64 1 (log.f64 z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 (log.f64 z)) 2)) (cbrt.f64 (+.f64 1 (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (sqrt.f64 (log.f64 z))) (hypot.f64 1 (sqrt.f64 (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (log.f64 z) 3)) (/.f64 1 (fma.f64 (log.f64 z) (-.f64 (log.f64 z) 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (log.f64 z) 2)) (/.f64 1 (-.f64 1 (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (log.f64 z) (-.f64 (log.f64 z) 1) 1) (+.f64 1 (pow.f64 (log.f64 z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (log.f64 z)) (-.f64 1 (pow.f64 (log.f64 z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (log.f64 z) 3)) (fma.f64 (log.f64 z) (-.f64 (log.f64 z) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (log.f64 z) 3)) (+.f64 (pow.f64 (log.f64 z) 2) (-.f64 1 (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (log.f64 z) 2)) (-.f64 1 (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (log.f64 z) 3))) (neg.f64 (fma.f64 (log.f64 z) (-.f64 (log.f64 z) 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (log.f64 z) 2))) (neg.f64 (-.f64 1 (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 z) 2) 1) (-.f64 (log.f64 z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (log.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log1p.f64 (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (log.f64 z)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (log.f64 z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (log.f64 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (sqrt.f64 (log.f64 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (log.f64 z) (-.f64 (log.f64 z) 1) 1) (+.f64 1 (pow.f64 (log.f64 z) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (log.f64 z)) (-.f64 1 (pow.f64 (log.f64 z) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (log.f64 z))) 2)) (cbrt.f64 (log1p.f64 (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (log.f64 z)))) (sqrt.f64 (log1p.f64 (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (log.f64 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 z (E.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (fma.f64 z (E.f64) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (log.f64 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (fma.f64 z (E.f64) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (log.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log1p.f64 (log.f64 z))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (log.f64 z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (log.f64 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 (log.f64 z)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 z) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (log.f64 z)) (pow.f64 (cbrt.f64 (log.f64 z)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 z)) 2) (cbrt.f64 (log.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 z)) (sqrt.f64 (log.f64 z)) 1)))))

simplify148.0ms (2%)

Algorithm
egg-herbie
Rules
1009×distribute-rgt-in_binary64
883×unsub-neg_binary64
796×distribute-lft-in_binary64
477×fma-neg_binary64
433×distribute-neg-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
026625
162549
2147467
3402467
4851467
51850467
64223467
75431467
86209467
96678467
106845467
116871467
126877467
136877467
146877467
156909467
166909467
Stop Event
node limit
Counts
212 → 171
Calls
Call 1
Inputs
(*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z)))))
(*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z)))))
(*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z)))))
(*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z)))))
(*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))
(*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))
(*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))
(*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))) (*.f64 1/2 x))
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))) (*.f64 1/2 x))
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))) (*.f64 1/2 x))
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))) (*.f64 1/2 x))
(+.f64 (*.f64 1/2 x) (*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(+.f64 (*.f64 1/2 x) (*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(+.f64 (*.f64 1/2 x) (*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(+.f64 (*.f64 1/2 x) (*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))
(+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))
(+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))
(+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))
(+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))
(+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))
(+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))
(+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))
Outputs
(*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z)))))
(*.f64 y (+.f64 1 (neg.f64 (neg.f64 (log.f64 z)))))
(+.f64 y (*.f64 y (log.f64 z)))
(fma.f64 y (log.f64 z) y)
(*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z)))))
(*.f64 y (+.f64 1 (neg.f64 (neg.f64 (log.f64 z)))))
(+.f64 y (*.f64 y (log.f64 z)))
(fma.f64 y (log.f64 z) y)
(*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z)))))
(*.f64 y (+.f64 1 (neg.f64 (neg.f64 (log.f64 z)))))
(+.f64 y (*.f64 y (log.f64 z)))
(fma.f64 y (log.f64 z) y)
(*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z)))))
(*.f64 y (+.f64 1 (neg.f64 (neg.f64 (log.f64 z)))))
(+.f64 y (*.f64 y (log.f64 z)))
(fma.f64 y (log.f64 z) y)
(*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))
(*.f64 y (+.f64 1 (neg.f64 (neg.f64 (log.f64 z)))))
(+.f64 y (*.f64 y (log.f64 z)))
(fma.f64 y (log.f64 z) y)
(*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))
(*.f64 y (+.f64 1 (neg.f64 (neg.f64 (log.f64 z)))))
(+.f64 y (*.f64 y (log.f64 z)))
(fma.f64 y (log.f64 z) y)
(*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))
(*.f64 y (+.f64 1 (neg.f64 (neg.f64 (log.f64 z)))))
(+.f64 y (*.f64 y (log.f64 z)))
(fma.f64 y (log.f64 z) y)
(*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))
(*.f64 y (+.f64 1 (neg.f64 (neg.f64 (log.f64 z)))))
(+.f64 y (*.f64 y (log.f64 z)))
(fma.f64 y (log.f64 z) y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(*.f64 y (+.f64 1 (neg.f64 (neg.f64 (log.f64 z)))))
(+.f64 y (*.f64 y (log.f64 z)))
(fma.f64 y (log.f64 z) y)
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(fma.f64 1/2 x (*.f64 y (+.f64 1 (log.f64 z))))
(fma.f64 y (+.f64 1 (log.f64 z)) (*.f64 1/2 x))
(fma.f64 1/2 x (fma.f64 y (log.f64 z) y))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x y))
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(fma.f64 1/2 x (*.f64 y (+.f64 1 (log.f64 z))))
(fma.f64 y (+.f64 1 (log.f64 z)) (*.f64 1/2 x))
(fma.f64 1/2 x (fma.f64 y (log.f64 z) y))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x y))
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(fma.f64 1/2 x (*.f64 y (+.f64 1 (log.f64 z))))
(fma.f64 y (+.f64 1 (log.f64 z)) (*.f64 1/2 x))
(fma.f64 1/2 x (fma.f64 y (log.f64 z) y))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x y))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(fma.f64 1/2 x (*.f64 y (+.f64 1 (log.f64 z))))
(fma.f64 y (+.f64 1 (log.f64 z)) (*.f64 1/2 x))
(fma.f64 1/2 x (fma.f64 y (log.f64 z) y))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x y))
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(fma.f64 1/2 x (*.f64 y (+.f64 1 (log.f64 z))))
(fma.f64 y (+.f64 1 (log.f64 z)) (*.f64 1/2 x))
(fma.f64 1/2 x (fma.f64 y (log.f64 z) y))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x y))
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(fma.f64 1/2 x (*.f64 y (+.f64 1 (log.f64 z))))
(fma.f64 y (+.f64 1 (log.f64 z)) (*.f64 1/2 x))
(fma.f64 1/2 x (fma.f64 y (log.f64 z) y))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x y))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(fma.f64 1/2 x (*.f64 y (+.f64 1 (log.f64 z))))
(fma.f64 y (+.f64 1 (log.f64 z)) (*.f64 1/2 x))
(fma.f64 1/2 x (fma.f64 y (log.f64 z) y))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x y))
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(fma.f64 1/2 x (*.f64 y (+.f64 1 (log.f64 z))))
(fma.f64 y (+.f64 1 (log.f64 z)) (*.f64 1/2 x))
(fma.f64 1/2 x (fma.f64 y (log.f64 z) y))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x y))
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(fma.f64 1/2 x (*.f64 y (+.f64 1 (log.f64 z))))
(fma.f64 y (+.f64 1 (log.f64 z)) (*.f64 1/2 x))
(fma.f64 1/2 x (fma.f64 y (log.f64 z) y))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x y))
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(fma.f64 1/2 x (*.f64 y (+.f64 1 (log.f64 z))))
(fma.f64 y (+.f64 1 (log.f64 z)) (*.f64 1/2 x))
(fma.f64 1/2 x (fma.f64 y (log.f64 z) y))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x y))
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(fma.f64 1/2 x (*.f64 y (+.f64 1 (log.f64 z))))
(fma.f64 y (+.f64 1 (log.f64 z)) (*.f64 1/2 x))
(fma.f64 1/2 x (fma.f64 y (log.f64 z) y))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x y))
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(fma.f64 1/2 x (*.f64 y (+.f64 1 (log.f64 z))))
(fma.f64 y (+.f64 1 (log.f64 z)) (*.f64 1/2 x))
(fma.f64 1/2 x (fma.f64 y (log.f64 z) y))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x y))
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(fma.f64 1/2 x (*.f64 y (+.f64 1 (log.f64 z))))
(fma.f64 y (+.f64 1 (log.f64 z)) (*.f64 1/2 x))
(fma.f64 1/2 x (fma.f64 y (log.f64 z) y))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x y))
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))) (*.f64 1/2 x))
(fma.f64 1/2 x (*.f64 y (+.f64 1 (log.f64 z))))
(fma.f64 y (+.f64 1 (log.f64 z)) (*.f64 1/2 x))
(fma.f64 1/2 x (fma.f64 y (log.f64 z) y))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x y))
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))) (*.f64 1/2 x))
(fma.f64 1/2 x (*.f64 y (+.f64 1 (log.f64 z))))
(fma.f64 y (+.f64 1 (log.f64 z)) (*.f64 1/2 x))
(fma.f64 1/2 x (fma.f64 y (log.f64 z) y))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x y))
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))) (*.f64 1/2 x))
(fma.f64 1/2 x (*.f64 y (+.f64 1 (log.f64 z))))
(fma.f64 y (+.f64 1 (log.f64 z)) (*.f64 1/2 x))
(fma.f64 1/2 x (fma.f64 y (log.f64 z) y))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x y))
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))) (*.f64 1/2 x))
(fma.f64 1/2 x (*.f64 y (+.f64 1 (log.f64 z))))
(fma.f64 y (+.f64 1 (log.f64 z)) (*.f64 1/2 x))
(fma.f64 1/2 x (fma.f64 y (log.f64 z) y))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x y))
(+.f64 (*.f64 1/2 x) (*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(fma.f64 1/2 x (*.f64 y (+.f64 1 (log.f64 z))))
(fma.f64 y (+.f64 1 (log.f64 z)) (*.f64 1/2 x))
(fma.f64 1/2 x (fma.f64 y (log.f64 z) y))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x y))
(+.f64 (*.f64 1/2 x) (*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(fma.f64 1/2 x (*.f64 y (+.f64 1 (log.f64 z))))
(fma.f64 y (+.f64 1 (log.f64 z)) (*.f64 1/2 x))
(fma.f64 1/2 x (fma.f64 y (log.f64 z) y))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x y))
(+.f64 (*.f64 1/2 x) (*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(fma.f64 1/2 x (*.f64 y (+.f64 1 (log.f64 z))))
(fma.f64 y (+.f64 1 (log.f64 z)) (*.f64 1/2 x))
(fma.f64 1/2 x (fma.f64 y (log.f64 z) y))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x y))
(+.f64 (*.f64 1/2 x) (*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(fma.f64 1/2 x (*.f64 y (+.f64 1 (log.f64 z))))
(fma.f64 y (+.f64 1 (log.f64 z)) (*.f64 1/2 x))
(fma.f64 1/2 x (fma.f64 y (log.f64 z) y))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x y))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(fma.f64 1/2 x (*.f64 y (+.f64 1 (log.f64 z))))
(fma.f64 y (+.f64 1 (log.f64 z)) (*.f64 1/2 x))
(fma.f64 1/2 x (fma.f64 y (log.f64 z) y))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x y))
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(fma.f64 1/2 x (*.f64 y (+.f64 1 (log.f64 z))))
(fma.f64 y (+.f64 1 (log.f64 z)) (*.f64 1/2 x))
(fma.f64 1/2 x (fma.f64 y (log.f64 z) y))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x y))
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(fma.f64 1/2 x (*.f64 y (+.f64 1 (log.f64 z))))
(fma.f64 y (+.f64 1 (log.f64 z)) (*.f64 1/2 x))
(fma.f64 1/2 x (fma.f64 y (log.f64 z) y))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x y))
(*.f64 (+.f64 1 (log.f64 z)) y)
(*.f64 y (+.f64 1 (neg.f64 (neg.f64 (log.f64 z)))))
(+.f64 y (*.f64 y (log.f64 z)))
(fma.f64 y (log.f64 z) y)
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(fma.f64 1/2 x (*.f64 y (+.f64 1 (log.f64 z))))
(fma.f64 y (+.f64 1 (log.f64 z)) (*.f64 1/2 x))
(fma.f64 1/2 x (fma.f64 y (log.f64 z) y))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x y))
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(fma.f64 1/2 x (*.f64 y (+.f64 1 (log.f64 z))))
(fma.f64 y (+.f64 1 (log.f64 z)) (*.f64 1/2 x))
(fma.f64 1/2 x (fma.f64 y (log.f64 z) y))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x y))
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(fma.f64 1/2 x (*.f64 y (+.f64 1 (log.f64 z))))
(fma.f64 y (+.f64 1 (log.f64 z)) (*.f64 1/2 x))
(fma.f64 1/2 x (fma.f64 y (log.f64 z) y))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x y))
(*.f64 (+.f64 1 (log.f64 z)) y)
(*.f64 y (+.f64 1 (neg.f64 (neg.f64 (log.f64 z)))))
(+.f64 y (*.f64 y (log.f64 z)))
(fma.f64 y (log.f64 z) y)
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(fma.f64 1/2 x (*.f64 y (+.f64 1 (log.f64 z))))
(fma.f64 y (+.f64 1 (log.f64 z)) (*.f64 1/2 x))
(fma.f64 1/2 x (fma.f64 y (log.f64 z) y))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x y))
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(fma.f64 1/2 x (*.f64 y (+.f64 1 (log.f64 z))))
(fma.f64 y (+.f64 1 (log.f64 z)) (*.f64 1/2 x))
(fma.f64 1/2 x (fma.f64 y (log.f64 z) y))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x y))
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(fma.f64 1/2 x (*.f64 y (+.f64 1 (log.f64 z))))
(fma.f64 y (+.f64 1 (log.f64 z)) (*.f64 1/2 x))
(fma.f64 1/2 x (fma.f64 y (log.f64 z) y))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x y))
(+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))
(+.f64 1 (neg.f64 (neg.f64 (log.f64 z))))
(+.f64 1 (log.f64 z))
(+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))
(+.f64 1 (neg.f64 (neg.f64 (log.f64 z))))
(+.f64 1 (log.f64 z))
(+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))
(+.f64 1 (neg.f64 (neg.f64 (log.f64 z))))
(+.f64 1 (log.f64 z))
(+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))
(+.f64 1 (neg.f64 (neg.f64 (log.f64 z))))
(+.f64 1 (log.f64 z))
(+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))
(+.f64 1 (neg.f64 (neg.f64 (log.f64 z))))
(+.f64 1 (log.f64 z))
(+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))
(+.f64 1 (neg.f64 (neg.f64 (log.f64 z))))
(+.f64 1 (log.f64 z))
(+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))
(+.f64 1 (neg.f64 (neg.f64 (log.f64 z))))
(+.f64 1 (log.f64 z))
(+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))
(+.f64 1 (neg.f64 (neg.f64 (log.f64 z))))
(+.f64 1 (log.f64 z))

localize26.0ms (0.4%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.2b
(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
0.1b
(sqrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
0.0b
(+.f64 (-.f64 1 z) (log.f64 z))
0.0b
(+.f64 (*.f64 x 1/2) (pow.f64 (sqrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) 2))
0.0b
(+.f64 (-.f64 1 z) (log.f64 z))
0.1b
(sqrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
0.2b
(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
0.3b
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) 2)
Compiler

Compiled 66 to 40 computations (39.4% saved)

series27.0ms (0.4%)

Counts
2 → 8
Calls

12 calls:

TimeVariablePointExpression
13.0ms
z
@0
(sqrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
3.0ms
z
@-inf
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) 2)
3.0ms
z
@inf
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) 2)
2.0ms
y
@0
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) 2)
1.0ms
y
@-inf
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) 2)

rewrite58.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
488×log-prod_binary64
382×pow-prod-down_binary64
366×fma-def_binary64
358×exp-prod_binary64
274×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01126
124326
2303226
Stop Event
node limit
Counts
2 → 114
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) 2)
(sqrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (-.f64 1 z)) (*.f64 y (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (log.f64 z)) (*.f64 y (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y (-.f64 1 z)) 1) (*.f64 (*.f64 y (log.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 z (exp.f64 (-.f64 1 z))) y)) 2)) (log.f64 (cbrt.f64 (pow.f64 (*.f64 z (exp.f64 (-.f64 1 z))) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (*.f64 z (exp.f64 (-.f64 1 z))) y))) (log.f64 (sqrt.f64 (pow.f64 (*.f64 z (exp.f64 (-.f64 1 z))) y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) (sqrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) (cbrt.f64 (pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 2)) (cbrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) (+.f64 (-.f64 1 z) (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))) 2) (*.f64 (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (+.f64 (-.f64 1 z) (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (pow.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 1/4) (pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))) (*.f64 (sqrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 3/4) (pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (pow.f64 (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))) 2)) (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (sqrt.f64 (+.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) (pow.f64 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(*.f64 (log.f64 (sqrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (+.f64 (log.f64 y) (log1p.f64 (fma.f64 -1 z (log.f64 z))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (+.f64 (log.f64 y) (log1p.f64 (fma.f64 -1 z (log.f64 z))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (+.f64 (log.f64 y) (log1p.f64 (fma.f64 -1 z (log.f64 z)))) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (+.f64 (log.f64 y) (log1p.f64 (fma.f64 -1 z (log.f64 z)))) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (*.f64 y (log.f64 z))) (sqrt.f64 (*.f64 y (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (*.f64 y (-.f64 1 z))) (sqrt.f64 (*.f64 y (log.f64 z))))))))

simplify41.0ms (0.6%)

Algorithm
egg-herbie
Rules
878×fma-def_binary64
625×associate-*l*_binary64
565×distribute-rgt-out_binary64
519×associate-*r*_binary64
508×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
053221
1141218
2401199
31474193
46224193
Stop Event
node limit
Counts
122 → 128
Calls
Call 1
Inputs
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 y (+.f64 1 (log.f64 z)))) (*.f64 -1/4 (/.f64 y (+.f64 1 (log.f64 z))))) (pow.f64 z 2)) (*.f64 (+.f64 1 (log.f64 z)) y)))
(+.f64 (*.f64 (+.f64 (*.f64 -1/8 (/.f64 y (pow.f64 (+.f64 1 (log.f64 z)) 2))) (*.f64 1/8 (/.f64 y (pow.f64 (+.f64 1 (log.f64 z)) 2)))) (pow.f64 z 3)) (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 y (+.f64 1 (log.f64 z)))) (*.f64 -1/4 (/.f64 y (+.f64 1 (log.f64 z))))) (pow.f64 z 2)) (*.f64 (+.f64 1 (log.f64 z)) y))))
(sqrt.f64 (*.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 y (+.f64 1 (log.f64 z)))) z)) (sqrt.f64 (*.f64 (+.f64 1 (log.f64 z)) y)))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 y (pow.f64 (+.f64 1 (log.f64 z)) 3))) (pow.f64 z 2))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 y (+.f64 1 (log.f64 z)))) z)) (sqrt.f64 (*.f64 (+.f64 1 (log.f64 z)) y))))
(+.f64 (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 y (pow.f64 (+.f64 1 (log.f64 z)) 5))) (pow.f64 z 3))) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 y (pow.f64 (+.f64 1 (log.f64 z)) 3))) (pow.f64 z 2))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 y (+.f64 1 (log.f64 z)))) z)) (sqrt.f64 (*.f64 (+.f64 1 (log.f64 z)) y)))))
Outputs
(*.f64 (+.f64 1 (log.f64 z)) y)
(fma.f64 (log.f64 z) y y)
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (log.f64 z)) y))
(fma.f64 -1 (*.f64 z y) (*.f64 (+.f64 1 (log.f64 z)) y))
(-.f64 (*.f64 (+.f64 1 (log.f64 z)) y) (*.f64 z y))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 y (+.f64 1 (log.f64 z)))) (*.f64 -1/4 (/.f64 y (+.f64 1 (log.f64 z))))) (pow.f64 z 2)) (*.f64 (+.f64 1 (log.f64 z)) y)))
(fma.f64 -1 (*.f64 z y) (*.f64 (+.f64 1 (log.f64 z)) y))
(-.f64 (*.f64 (+.f64 1 (log.f64 z)) y) (*.f64 z y))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(+.f64 (*.f64 (+.f64 (*.f64 -1/8 (/.f64 y (pow.f64 (+.f64 1 (log.f64 z)) 2))) (*.f64 1/8 (/.f64 y (pow.f64 (+.f64 1 (log.f64 z)) 2)))) (pow.f64 z 3)) (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 y (+.f64 1 (log.f64 z)))) (*.f64 -1/4 (/.f64 y (+.f64 1 (log.f64 z))))) (pow.f64 z 2)) (*.f64 (+.f64 1 (log.f64 z)) y))))
(fma.f64 -1 (*.f64 z y) (*.f64 (+.f64 1 (log.f64 z)) y))
(-.f64 (*.f64 (+.f64 1 (log.f64 z)) y) (*.f64 z y))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(sqrt.f64 (*.f64 (+.f64 1 (log.f64 z)) y))
(sqrt.f64 (fma.f64 (log.f64 z) y y))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 y (+.f64 1 (log.f64 z)))) z)) (sqrt.f64 (*.f64 (+.f64 1 (log.f64 z)) y)))
(fma.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 y (+.f64 1 (log.f64 z))))) (sqrt.f64 (*.f64 (+.f64 1 (log.f64 z)) y)))
(fma.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 y (+.f64 1 (log.f64 z))))) (sqrt.f64 (fma.f64 (log.f64 z) y y)))
(+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 y (pow.f64 (+.f64 1 (log.f64 z)) 3))) (pow.f64 z 2))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 y (+.f64 1 (log.f64 z)))) z)) (sqrt.f64 (*.f64 (+.f64 1 (log.f64 z)) y))))
(fma.f64 -1/8 (*.f64 (*.f64 z z) (sqrt.f64 (/.f64 y (pow.f64 (+.f64 1 (log.f64 z)) 3)))) (fma.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 y (+.f64 1 (log.f64 z))))) (sqrt.f64 (*.f64 (+.f64 1 (log.f64 z)) y))))
(fma.f64 z (*.f64 -1/2 (sqrt.f64 (/.f64 y (+.f64 1 (log.f64 z))))) (fma.f64 (*.f64 z z) (*.f64 -1/8 (sqrt.f64 (/.f64 y (pow.f64 (+.f64 1 (log.f64 z)) 3)))) (sqrt.f64 (fma.f64 (log.f64 z) y y))))
(fma.f64 z (fma.f64 z (*.f64 -1/8 (sqrt.f64 (/.f64 y (pow.f64 (+.f64 1 (log.f64 z)) 3)))) (*.f64 -1/2 (sqrt.f64 (/.f64 y (+.f64 1 (log.f64 z)))))) (sqrt.f64 (fma.f64 (log.f64 z) y y)))
(fma.f64 z (fma.f64 (sqrt.f64 (/.f64 y (pow.f64 (+.f64 1 (log.f64 z)) 3))) (*.f64 z -1/8) (*.f64 -1/2 (sqrt.f64 (/.f64 y (+.f64 1 (log.f64 z)))))) (sqrt.f64 (fma.f64 (log.f64 z) y y)))
(+.f64 (*.f64 -1/16 (*.f64 (sqrt.f64 (/.f64 y (pow.f64 (+.f64 1 (log.f64 z)) 5))) (pow.f64 z 3))) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 y (pow.f64 (+.f64 1 (log.f64 z)) 3))) (pow.f64 z 2))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 y (+.f64 1 (log.f64 z)))) z)) (sqrt.f64 (*.f64 (+.f64 1 (log.f64 z)) y)))))
(fma.f64 -1/16 (*.f64 (pow.f64 z 3) (sqrt.f64 (/.f64 y (pow.f64 (+.f64 1 (log.f64 z)) 5)))) (fma.f64 -1/8 (*.f64 (*.f64 z z) (sqrt.f64 (/.f64 y (pow.f64 (+.f64 1 (log.f64 z)) 3)))) (fma.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 y (+.f64 1 (log.f64 z))))) (sqrt.f64 (*.f64 (+.f64 1 (log.f64 z)) y)))))
(fma.f64 (*.f64 z z) (*.f64 -1/8 (sqrt.f64 (/.f64 y (pow.f64 (+.f64 1 (log.f64 z)) 3)))) (fma.f64 (pow.f64 z 3) (*.f64 -1/16 (sqrt.f64 (/.f64 y (pow.f64 (+.f64 1 (log.f64 z)) 5)))) (fma.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 y (+.f64 1 (log.f64 z))))) (sqrt.f64 (fma.f64 (log.f64 z) y y)))))
(fma.f64 (*.f64 z z) (fma.f64 z (*.f64 -1/16 (sqrt.f64 (/.f64 y (pow.f64 (+.f64 1 (log.f64 z)) 5)))) (*.f64 -1/8 (sqrt.f64 (/.f64 y (pow.f64 (+.f64 1 (log.f64 z)) 3))))) (fma.f64 -1/2 (*.f64 z (sqrt.f64 (/.f64 y (+.f64 1 (log.f64 z))))) (sqrt.f64 (fma.f64 (log.f64 z) y y))))
(fma.f64 z (fma.f64 (sqrt.f64 (/.f64 y (pow.f64 (+.f64 1 (log.f64 z)) 3))) (*.f64 z -1/8) (*.f64 -1/2 (sqrt.f64 (/.f64 y (+.f64 1 (log.f64 z)))))) (fma.f64 (pow.f64 z 3) (*.f64 -1/16 (sqrt.f64 (/.f64 y (pow.f64 (+.f64 1 (log.f64 z)) 5)))) (sqrt.f64 (fma.f64 (log.f64 z) y y))))

localize19.0ms (0.3%)

Local error

Found 6 expressions with local error:

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

Compiled 48 to 25 computations (47.9% saved)

series13.0ms (0.2%)

Counts
2 → 37
Calls

15 calls:

TimeVariablePointExpression
4.0ms
y
@0
(fma.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x 1/2))
1.0ms
y
@-inf
(*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) (sqrt.f64 y))
1.0ms
y
@-inf
(fma.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x 1/2))
1.0ms
y
@inf
(fma.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x 1/2))
1.0ms
y
@0
(*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) (sqrt.f64 y))

rewrite55.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
616×log-prod_binary64
432×pow-prod-down_binary64
354×fma-def_binary64
349×pow2_binary64
241×pow1/3_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01337
127132
2347930
Stop Event
node limit
Counts
2 → 59
Calls
Call 1
Inputs
(*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) (sqrt.f64 y))
(fma.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x 1/2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1 z) (sqrt.f64 y)) (*.f64 (log.f64 z) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 z) (sqrt.f64 y)) (*.f64 (-.f64 1 z) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 y) (-.f64 1 z)) (*.f64 (sqrt.f64 y) (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 y) (log.f64 z)) (*.f64 (sqrt.f64 y) (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 z (exp.f64 (-.f64 1 z))) (sqrt.f64 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (*.f64 z (exp.f64 (-.f64 1 z))) (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (*.f64 z (exp.f64 (-.f64 1 z))) (sqrt.f64 y)))) (log.f64 (sqrt.f64 (pow.f64 (*.f64 z (exp.f64 (-.f64 1 z))) (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) (sqrt.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (-.f64 1 z) 3) (pow.f64 (log.f64 z) 3)) (sqrt.f64 y)) (fma.f64 (log.f64 z) (-.f64 (log.f64 z) (-.f64 1 z)) (pow.f64 (-.f64 1 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (-.f64 1 z) 2) (pow.f64 (log.f64 z) 2)) (sqrt.f64 y)) (-.f64 1 (+.f64 z (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 y) (+.f64 (pow.f64 (-.f64 1 z) 3) (pow.f64 (log.f64 z) 3))) (fma.f64 (log.f64 z) (-.f64 (log.f64 z) (-.f64 1 z)) (pow.f64 (-.f64 1 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 y) (-.f64 (pow.f64 (-.f64 1 z) 2) (pow.f64 (log.f64 z) 2))) (-.f64 1 (+.f64 z (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) (sqrt.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (pow.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) (sqrt.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) (sqrt.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) (sqrt.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 y (pow.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (*.f64 z (exp.f64 (-.f64 1 z))) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) (sqrt.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 1/2 (log.f64 y) (log1p.f64 (fma.f64 -1 z (log.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 1/2 (log.f64 y) (log1p.f64 (fma.f64 -1 z (log.f64 z)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 z) (sqrt.f64 y) (*.f64 (log.f64 z) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 z) (sqrt.f64 y) (*.f64 (-.f64 1 z) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (-.f64 1 z) (*.f64 (sqrt.f64 y) (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (log.f64 z) (*.f64 (sqrt.f64 y) (-.f64 1 z)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/2) (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y) 1) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y (*.f64 x 1/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y (*.f64 x 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y (*.f64 x 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y (*.f64 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y (*.f64 x 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y (*.f64 x 1/2))) 2) (cbrt.f64 (fma.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y (*.f64 x 1/2))) (sqrt.f64 (fma.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y) 3) (pow.f64 (*.f64 x 1/2) 3)) (+.f64 (pow.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y) 2) (-.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y) (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y) 2) (*.f64 1/4 (*.f64 x x))) (-.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y (*.f64 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y (*.f64 x 1/2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y (*.f64 x 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y (*.f64 x 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y (*.f64 x 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y (*.f64 x 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (sqrt.f64 (exp.f64 x)) (exp.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/2))) (exp.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y)) (+.f64 1 (expm1.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y (*.f64 x 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y (*.f64 x 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (+.f64 (-.f64 1 z) (log.f64 z)) y (*.f64 x 1/2))))))))

simplify50.0ms (0.7%)

Algorithm
egg-herbie
Rules
837×fma-def_binary64
605×sub-neg_binary64
558×fma-neg_binary64
474×unsub-neg_binary64
303×associate--r+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
044616
1129535
2351488
31091450
42952450
56046450
Stop Event
node limit
Counts
96 → 79
Calls
Call 1
Inputs
(*.f64 (+.f64 1 (log.f64 z)) (sqrt.f64 y))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 y) z)) (*.f64 (+.f64 1 (log.f64 z)) (sqrt.f64 y)))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 y) z)) (*.f64 (+.f64 1 (log.f64 z)) (sqrt.f64 y)))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 y) z)) (*.f64 (+.f64 1 (log.f64 z)) (sqrt.f64 y)))
(*.f64 -1 (*.f64 (sqrt.f64 y) z))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 y) z)) (*.f64 (sqrt.f64 y) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 y) z)) (*.f64 (sqrt.f64 y) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 y) z)) (*.f64 (sqrt.f64 y) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))))
(*.f64 -1 (*.f64 (sqrt.f64 y) z))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 y) z)) (*.f64 (sqrt.f64 y) (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 y) z)) (*.f64 (sqrt.f64 y) (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 y) z)) (*.f64 (sqrt.f64 y) (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (log.f64 z)) y)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (log.f64 z)) y)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (log.f64 z)) y)))
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))) (*.f64 -1 (*.f64 y z))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))) (*.f64 -1 (*.f64 y z))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))) (*.f64 -1 (*.f64 y z))))
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))))
(*.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 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (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 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)))
Outputs
(*.f64 (+.f64 1 (log.f64 z)) (sqrt.f64 y))
(fma.f64 (log.f64 z) (sqrt.f64 y) (sqrt.f64 y))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 y) z)) (*.f64 (+.f64 1 (log.f64 z)) (sqrt.f64 y)))
(fma.f64 -1 (*.f64 z (sqrt.f64 y)) (*.f64 (+.f64 1 (log.f64 z)) (sqrt.f64 y)))
(-.f64 (*.f64 (+.f64 1 (log.f64 z)) (sqrt.f64 y)) (*.f64 z (sqrt.f64 y)))
(*.f64 (sqrt.f64 y) (+.f64 1 (-.f64 (log.f64 z) z)))
(fma.f64 (sqrt.f64 y) (-.f64 (log.f64 z) z) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (+.f64 (log.f64 z) (-.f64 1 z)))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 y) z)) (*.f64 (+.f64 1 (log.f64 z)) (sqrt.f64 y)))
(fma.f64 -1 (*.f64 z (sqrt.f64 y)) (*.f64 (+.f64 1 (log.f64 z)) (sqrt.f64 y)))
(-.f64 (*.f64 (+.f64 1 (log.f64 z)) (sqrt.f64 y)) (*.f64 z (sqrt.f64 y)))
(*.f64 (sqrt.f64 y) (+.f64 1 (-.f64 (log.f64 z) z)))
(fma.f64 (sqrt.f64 y) (-.f64 (log.f64 z) z) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (+.f64 (log.f64 z) (-.f64 1 z)))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 y) z)) (*.f64 (+.f64 1 (log.f64 z)) (sqrt.f64 y)))
(fma.f64 -1 (*.f64 z (sqrt.f64 y)) (*.f64 (+.f64 1 (log.f64 z)) (sqrt.f64 y)))
(-.f64 (*.f64 (+.f64 1 (log.f64 z)) (sqrt.f64 y)) (*.f64 z (sqrt.f64 y)))
(*.f64 (sqrt.f64 y) (+.f64 1 (-.f64 (log.f64 z) z)))
(fma.f64 (sqrt.f64 y) (-.f64 (log.f64 z) z) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (+.f64 (log.f64 z) (-.f64 1 z)))
(*.f64 -1 (*.f64 (sqrt.f64 y) z))
(neg.f64 (*.f64 z (sqrt.f64 y)))
(*.f64 z (neg.f64 (sqrt.f64 y)))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 y) z)) (*.f64 (sqrt.f64 y) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))))
(fma.f64 -1 (*.f64 z (sqrt.f64 y)) (*.f64 (+.f64 1 (log.f64 z)) (sqrt.f64 y)))
(-.f64 (*.f64 (+.f64 1 (log.f64 z)) (sqrt.f64 y)) (*.f64 z (sqrt.f64 y)))
(*.f64 (sqrt.f64 y) (+.f64 1 (-.f64 (log.f64 z) z)))
(fma.f64 (sqrt.f64 y) (-.f64 (log.f64 z) z) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (+.f64 (log.f64 z) (-.f64 1 z)))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 y) z)) (*.f64 (sqrt.f64 y) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))))
(fma.f64 -1 (*.f64 z (sqrt.f64 y)) (*.f64 (+.f64 1 (log.f64 z)) (sqrt.f64 y)))
(-.f64 (*.f64 (+.f64 1 (log.f64 z)) (sqrt.f64 y)) (*.f64 z (sqrt.f64 y)))
(*.f64 (sqrt.f64 y) (+.f64 1 (-.f64 (log.f64 z) z)))
(fma.f64 (sqrt.f64 y) (-.f64 (log.f64 z) z) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (+.f64 (log.f64 z) (-.f64 1 z)))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 y) z)) (*.f64 (sqrt.f64 y) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))))
(fma.f64 -1 (*.f64 z (sqrt.f64 y)) (*.f64 (+.f64 1 (log.f64 z)) (sqrt.f64 y)))
(-.f64 (*.f64 (+.f64 1 (log.f64 z)) (sqrt.f64 y)) (*.f64 z (sqrt.f64 y)))
(*.f64 (sqrt.f64 y) (+.f64 1 (-.f64 (log.f64 z) z)))
(fma.f64 (sqrt.f64 y) (-.f64 (log.f64 z) z) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (+.f64 (log.f64 z) (-.f64 1 z)))
(*.f64 -1 (*.f64 (sqrt.f64 y) z))
(neg.f64 (*.f64 z (sqrt.f64 y)))
(*.f64 z (neg.f64 (sqrt.f64 y)))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 y) z)) (*.f64 (sqrt.f64 y) (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(fma.f64 -1 (*.f64 z (sqrt.f64 y)) (*.f64 (+.f64 1 (log.f64 z)) (sqrt.f64 y)))
(-.f64 (*.f64 (+.f64 1 (log.f64 z)) (sqrt.f64 y)) (*.f64 z (sqrt.f64 y)))
(*.f64 (sqrt.f64 y) (+.f64 1 (-.f64 (log.f64 z) z)))
(fma.f64 (sqrt.f64 y) (-.f64 (log.f64 z) z) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (+.f64 (log.f64 z) (-.f64 1 z)))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 y) z)) (*.f64 (sqrt.f64 y) (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(fma.f64 -1 (*.f64 z (sqrt.f64 y)) (*.f64 (+.f64 1 (log.f64 z)) (sqrt.f64 y)))
(-.f64 (*.f64 (+.f64 1 (log.f64 z)) (sqrt.f64 y)) (*.f64 z (sqrt.f64 y)))
(*.f64 (sqrt.f64 y) (+.f64 1 (-.f64 (log.f64 z) z)))
(fma.f64 (sqrt.f64 y) (-.f64 (log.f64 z) z) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (+.f64 (log.f64 z) (-.f64 1 z)))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 y) z)) (*.f64 (sqrt.f64 y) (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(fma.f64 -1 (*.f64 z (sqrt.f64 y)) (*.f64 (+.f64 1 (log.f64 z)) (sqrt.f64 y)))
(-.f64 (*.f64 (+.f64 1 (log.f64 z)) (sqrt.f64 y)) (*.f64 z (sqrt.f64 y)))
(*.f64 (sqrt.f64 y) (+.f64 1 (-.f64 (log.f64 z) z)))
(fma.f64 (sqrt.f64 y) (-.f64 (log.f64 z) z) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (+.f64 (log.f64 z) (-.f64 1 z)))
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(fma.f64 1/2 x (*.f64 (+.f64 1 (log.f64 z)) y))
(fma.f64 (+.f64 1 (log.f64 z)) y (*.f64 1/2 x))
(fma.f64 1/2 x (fma.f64 (log.f64 z) y y))
(fma.f64 (log.f64 z) y (fma.f64 1/2 x y))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (log.f64 z)) y)))
(fma.f64 1/2 x (fma.f64 -1 (*.f64 z y) (*.f64 (+.f64 1 (log.f64 z)) y)))
(fma.f64 y (-.f64 (+.f64 1 (log.f64 z)) z) (*.f64 1/2 x))
(+.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))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (log.f64 z)) y)))
(fma.f64 1/2 x (fma.f64 -1 (*.f64 z y) (*.f64 (+.f64 1 (log.f64 z)) y)))
(fma.f64 y (-.f64 (+.f64 1 (log.f64 z)) z) (*.f64 1/2 x))
(+.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))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (log.f64 z)) y)))
(fma.f64 1/2 x (fma.f64 -1 (*.f64 z y) (*.f64 (+.f64 1 (log.f64 z)) y)))
(fma.f64 y (-.f64 (+.f64 1 (log.f64 z)) z) (*.f64 1/2 x))
(+.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))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 z y))
(*.f64 y (neg.f64 z))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))) (*.f64 -1 (*.f64 y z))))
(fma.f64 1/2 x (fma.f64 -1 (*.f64 z y) (*.f64 (+.f64 1 (log.f64 z)) y)))
(fma.f64 y (-.f64 (+.f64 1 (log.f64 z)) z) (*.f64 1/2 x))
(+.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))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))) (*.f64 -1 (*.f64 y z))))
(fma.f64 1/2 x (fma.f64 -1 (*.f64 z y) (*.f64 (+.f64 1 (log.f64 z)) y)))
(fma.f64 y (-.f64 (+.f64 1 (log.f64 z)) z) (*.f64 1/2 x))
(+.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))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))) (*.f64 -1 (*.f64 y z))))
(fma.f64 1/2 x (fma.f64 -1 (*.f64 z y) (*.f64 (+.f64 1 (log.f64 z)) y)))
(fma.f64 y (-.f64 (+.f64 1 (log.f64 z)) z) (*.f64 1/2 x))
(+.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))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 z y))
(*.f64 y (neg.f64 z))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))))
(fma.f64 1/2 x (fma.f64 -1 (*.f64 z y) (*.f64 (+.f64 1 (log.f64 z)) y)))
(fma.f64 y (-.f64 (+.f64 1 (log.f64 z)) z) (*.f64 1/2 x))
(+.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))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))))
(fma.f64 1/2 x (fma.f64 -1 (*.f64 z y) (*.f64 (+.f64 1 (log.f64 z)) y)))
(fma.f64 y (-.f64 (+.f64 1 (log.f64 z)) z) (*.f64 1/2 x))
(+.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))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))))
(fma.f64 1/2 x (fma.f64 -1 (*.f64 z y) (*.f64 (+.f64 1 (log.f64 z)) y)))
(fma.f64 y (-.f64 (+.f64 1 (log.f64 z)) z) (*.f64 1/2 x))
(+.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))
(*.f64 1/2 x)
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) 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 (log.f64 z)) z)))
(fma.f64 1/2 x (fma.f64 -1 (*.f64 z y) (*.f64 (+.f64 1 (log.f64 z)) y)))
(fma.f64 y (-.f64 (+.f64 1 (log.f64 z)) z) (*.f64 1/2 x))
(+.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))
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(fma.f64 1/2 x (fma.f64 -1 (*.f64 z y) (*.f64 (+.f64 1 (log.f64 z)) y)))
(fma.f64 y (-.f64 (+.f64 1 (log.f64 z)) z) (*.f64 1/2 x))
(+.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))
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(fma.f64 1/2 x (fma.f64 -1 (*.f64 z y) (*.f64 (+.f64 1 (log.f64 z)) y)))
(fma.f64 y (-.f64 (+.f64 1 (log.f64 z)) z) (*.f64 1/2 x))
(+.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))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(fma.f64 1/2 x (fma.f64 -1 (*.f64 z y) (*.f64 (+.f64 1 (log.f64 z)) y)))
(fma.f64 y (-.f64 (+.f64 1 (log.f64 z)) z) (*.f64 1/2 x))
(+.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))
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(fma.f64 1/2 x (fma.f64 -1 (*.f64 z y) (*.f64 (+.f64 1 (log.f64 z)) y)))
(fma.f64 y (-.f64 (+.f64 1 (log.f64 z)) z) (*.f64 1/2 x))
(+.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))
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(fma.f64 1/2 x (fma.f64 -1 (*.f64 z y) (*.f64 (+.f64 1 (log.f64 z)) y)))
(fma.f64 y (-.f64 (+.f64 1 (log.f64 z)) z) (*.f64 1/2 x))
(+.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))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(fma.f64 1/2 x (fma.f64 -1 (*.f64 z y) (*.f64 (+.f64 1 (log.f64 z)) y)))
(fma.f64 y (-.f64 (+.f64 1 (log.f64 z)) z) (*.f64 1/2 x))
(+.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))
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(fma.f64 1/2 x (fma.f64 -1 (*.f64 z y) (*.f64 (+.f64 1 (log.f64 z)) y)))
(fma.f64 y (-.f64 (+.f64 1 (log.f64 z)) z) (*.f64 1/2 x))
(+.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))
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(fma.f64 1/2 x (fma.f64 -1 (*.f64 z y) (*.f64 (+.f64 1 (log.f64 z)) y)))
(fma.f64 y (-.f64 (+.f64 1 (log.f64 z)) z) (*.f64 1/2 x))
(+.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))

eval207.0ms (2.9%)

Compiler

Compiled 12339 to 7356 computations (40.4% saved)

prune102.0ms (1.4%)

Pruning

18 alts after pruning (15 fresh and 3 done)

PrunedKeptTotal
New65610666
Fresh459
Picked101
Done235
Total66318681
Error
0b
Counts
681 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
14.5b
(fma.f64 (neg.f64 z) y (*.f64 x 1/2))
0.1b
(+.f64 (*.f64 x 1/2) (+.f64 (*.f64 y (log.f64 z)) (*.f64 y (-.f64 1 z))))
30.5b
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
31.9b
(+.f64 (*.f64 x 1/2) (*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (+.f64 (-.f64 1 z) (log.f64 z)))))
0.7b
(+.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) 3))
14.6b
(+.f64 (*.f64 x 1/2) (*.f64 y (neg.f64 z)))
19.6b
(+.f64 (*.f64 x 1/2) (/.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 z) 2))) (-.f64 1 (log.f64 z))))
14.1b
(+.f64 (*.f64 x 1/2) (*.f64 (cbrt.f64 (*.f64 y y)) (*.f64 (cbrt.f64 y) (+.f64 (-.f64 1 z) (log.f64 z)))))
32.4b
(/.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 2)) (-.f64 (*.f64 x 1/2) (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))))
44.7b
(*.f64 y (neg.f64 z))
32.7b
(*.f64 1/2 x)
19.4b
(+.f64 (*.f64 x 1/2) (*.f64 (+.f64 1 (log.f64 z)) y))
49.2b
(*.f64 (+.f64 1 (log.f64 z)) y)
19.4b
(+.f64 (*.f64 x 1/2) (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (log.f64 z)) 3)) y))
0.1b
(+.f64 (*.f64 x 1/2) (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
30.4b
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
43.5b
(+.f64 (*.f64 x 1/2) (pow.f64 (sqrt.f64 (*.f64 y (+.f64 1 (log.f64 z)))) 2))
0.2b
(+.f64 (*.f64 x 1/2) (fma.f64 (cbrt.f64 (pow.f64 (log.f64 z) 2)) (*.f64 (cbrt.f64 (log.f64 z)) y) (*.f64 y (-.f64 1 z))))
Compiler

Compiled 516 to 376 computations (27.1% saved)

localize18.0ms (0.3%)

Local error

Found 8 expressions with local error:

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

Compiled 49 to 25 computations (49% saved)

series10.0ms (0.1%)

Counts
4 → 80
Calls

27 calls:

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

rewrite76.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
789×fma-def_binary64
698×log-prod_binary64
381×fma-neg_binary64
255×expm1-udef_binary64
254×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01341
128541
2399641
Stop Event
node limit
Counts
4 → 221
Calls
Call 1
Inputs
(*.f64 y (log.f64 z))
(+.f64 (*.f64 y (log.f64 z)) (*.f64 y (-.f64 1 z)))
(+.f64 (*.f64 x 1/2) (+.f64 (*.f64 y (log.f64 z)) (*.f64 y (-.f64 1 z))))
(*.f64 y (-.f64 1 z))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 (neg.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 1 z))) (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 1 z))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (-.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (-.f64 1 z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (-.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (-.f64 1 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 z 3)) y) (+.f64 1 (fma.f64 z z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 z z)) y) (+.f64 z 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 1 (pow.f64 z 3))) (+.f64 1 (fma.f64 z z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 1 (*.f64 z z))) (+.f64 z 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (-.f64 1 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (-.f64 1 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (-.f64 1 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (-.f64 1 z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (-.f64 1 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (-.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (-.f64 1 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (-.f64 1 z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 1 (*.f64 (neg.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 1 (*.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (*.f64 (neg.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (*.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2) (*.f64 (neg.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2) (*.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 (neg.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 (neg.f64 z) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y (neg.f64 z)))))))

simplify111.0ms (1.5%)

Algorithm
egg-herbie
Rules
915×unsub-neg_binary64
738×fma-def_binary64
447×sub-neg_binary64
413×distribute-neg-in_binary64
324×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
051966
1159930
2431898
31214796
43127796
55194796
66530796
77317796
87726796
97927796
107992796
Stop Event
node limit
Counts
301 → 249
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 (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 1 z)) (*.f64 -1 (log.f64 z)))))
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (-.f64 1 z)) (*.f64 -1 (log.f64 z)))))
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (-.f64 1 z)) (*.f64 -1 (log.f64 z)))))
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (-.f64 1 z)) (*.f64 -1 (log.f64 z)))))
(+.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)))))))
(+.f64 (*.f64 y (log.f64 z)) (*.f64 y (-.f64 1 z)))
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 1 z))))
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 1 z))))
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 1 z))))
(*.f64 1/2 x)
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 1 z))))
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 1 z))))
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 1 z))))
(*.f64 1/2 x)
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 1 z))))
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 1 z))))
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 1 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 1 z)) (*.f64 -1 (log.f64 z)))))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (-.f64 1 z)) (*.f64 -1 (log.f64 z))))))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (-.f64 1 z)) (*.f64 -1 (log.f64 z))))))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (-.f64 1 z)) (*.f64 -1 (log.f64 z))))))
(+.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))))))))
y
(+.f64 (*.f64 -1 (*.f64 y z)) y)
(+.f64 (*.f64 -1 (*.f64 y z)) y)
(+.f64 (*.f64 -1 (*.f64 y z)) y)
(*.f64 -1 (*.f64 y z))
(+.f64 y (*.f64 -1 (*.f64 y z)))
(+.f64 y (*.f64 -1 (*.f64 y z)))
(+.f64 y (*.f64 -1 (*.f64 y z)))
(*.f64 -1 (*.f64 y z))
(+.f64 y (*.f64 -1 (*.f64 y z)))
(+.f64 y (*.f64 -1 (*.f64 y z)))
(+.f64 y (*.f64 -1 (*.f64 y 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 (log.f64 z)) z))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (-.f64 (log.f64 z) (+.f64 -1 z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (-.f64 (log.f64 z) (+.f64 -1 z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (-.f64 (log.f64 z) (+.f64 -1 z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (-.f64 (log.f64 z) (+.f64 -1 z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (-.f64 (log.f64 z) (+.f64 -1 z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (-.f64 (log.f64 z) (+.f64 -1 z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (-.f64 (log.f64 z) (+.f64 -1 z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (-.f64 (log.f64 z) (+.f64 -1 z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (-.f64 1 z)) (*.f64 -1 (log.f64 z)))))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (-.f64 (log.f64 z) (+.f64 -1 z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (-.f64 1 z)) (*.f64 -1 (log.f64 z)))))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (-.f64 (log.f64 z) (+.f64 -1 z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (-.f64 1 z)) (*.f64 -1 (log.f64 z)))))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (-.f64 (log.f64 z) (+.f64 -1 z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (-.f64 1 z)) (*.f64 -1 (log.f64 z)))))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (-.f64 (log.f64 z) (+.f64 -1 z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(+.f64 (*.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))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (-.f64 (log.f64 z) (+.f64 -1 z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 -1 (*.f64 y z)) y))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (-.f64 (log.f64 z) (+.f64 -1 z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 -1 (*.f64 y z)) y))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (-.f64 (log.f64 z) (+.f64 -1 z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 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))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (-.f64 (log.f64 z) (+.f64 -1 z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z)))) (+.f64 y (*.f64 -1 (*.f64 y z))))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (-.f64 (log.f64 z) (+.f64 -1 z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(+.f64 (*.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))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (-.f64 (log.f64 z) (+.f64 -1 z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 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))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (-.f64 (log.f64 z) (+.f64 -1 z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(+.f64 y (+.f64 (*.f64 -1 (*.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))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (-.f64 (log.f64 z) (+.f64 -1 z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(+.f64 y (+.f64 (*.f64 -1 (*.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))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (-.f64 (log.f64 z) (+.f64 -1 z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(+.f64 (*.f64 y (log.f64 z)) (*.f64 y (-.f64 1 z)))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (-.f64 (log.f64 z) (+.f64 -1 z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 1 z))))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x (*.f64 y (-.f64 1 z))))
(fma.f64 y (+.f64 1 (-.f64 (log.f64 z) 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 y (-.f64 1 z))))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x (*.f64 y (-.f64 1 z))))
(fma.f64 y (+.f64 1 (-.f64 (log.f64 z) 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 y (-.f64 1 z))))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x (*.f64 y (-.f64 1 z))))
(fma.f64 y (+.f64 1 (-.f64 (log.f64 z) 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 1/2 x)
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 1 z))))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x (*.f64 y (-.f64 1 z))))
(fma.f64 y (+.f64 1 (-.f64 (log.f64 z) 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 y (-.f64 1 z))))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x (*.f64 y (-.f64 1 z))))
(fma.f64 y (+.f64 1 (-.f64 (log.f64 z) 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 y (-.f64 1 z))))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x (*.f64 y (-.f64 1 z))))
(fma.f64 y (+.f64 1 (-.f64 (log.f64 z) 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 1/2 x)
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 1 z))))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x (*.f64 y (-.f64 1 z))))
(fma.f64 y (+.f64 1 (-.f64 (log.f64 z) 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 y (-.f64 1 z))))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x (*.f64 y (-.f64 1 z))))
(fma.f64 y (+.f64 1 (-.f64 (log.f64 z) 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 y (-.f64 1 z))))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x (*.f64 y (-.f64 1 z))))
(fma.f64 y (+.f64 1 (-.f64 (log.f64 z) 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 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x (*.f64 y (-.f64 1 z))))
(fma.f64 y (+.f64 1 (-.f64 (log.f64 z) 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 (log.f64 z)) z)))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x (*.f64 y (-.f64 1 z))))
(fma.f64 y (+.f64 1 (-.f64 (log.f64 z) 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 (log.f64 z)) z)))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x (*.f64 y (-.f64 1 z))))
(fma.f64 y (+.f64 1 (-.f64 (log.f64 z) 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 (log.f64 z)) z))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (-.f64 (log.f64 z) (+.f64 -1 z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(+.f64 (*.f64 1/2 x) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x (*.f64 y (-.f64 1 z))))
(fma.f64 y (+.f64 1 (-.f64 (log.f64 z) 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 (log.f64 z)) z)))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x (*.f64 y (-.f64 1 z))))
(fma.f64 y (+.f64 1 (-.f64 (log.f64 z) 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 (log.f64 z)) z)))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x (*.f64 y (-.f64 1 z))))
(fma.f64 y (+.f64 1 (-.f64 (log.f64 z) 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 -1 (-.f64 1 z)) (*.f64 -1 (log.f64 z)))))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (-.f64 (log.f64 z) (+.f64 -1 z)))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (-.f64 1 z)) (*.f64 -1 (log.f64 z))))))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x (*.f64 y (-.f64 1 z))))
(fma.f64 y (+.f64 1 (-.f64 (log.f64 z) 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 -1 (-.f64 1 z)) (*.f64 -1 (log.f64 z))))))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x (*.f64 y (-.f64 1 z))))
(fma.f64 y (+.f64 1 (-.f64 (log.f64 z) 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 -1 (-.f64 1 z)) (*.f64 -1 (log.f64 z))))))
(fma.f64 y (log.f64 z) (fma.f64 1/2 x (*.f64 y (-.f64 1 z))))
(fma.f64 y (+.f64 1 (-.f64 (log.f64 z) 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))
(+.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 (*.f64 y (-.f64 1 z))))
(fma.f64 y (+.f64 1 (-.f64 (log.f64 z) 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 (*.f64 y (-.f64 1 z))))
(fma.f64 y (+.f64 1 (-.f64 (log.f64 z) 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 (*.f64 y (-.f64 1 z))))
(fma.f64 y (+.f64 1 (-.f64 (log.f64 z) 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 z (neg.f64 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 (*.f64 y (-.f64 1 z))))
(fma.f64 y (+.f64 1 (-.f64 (log.f64 z) 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 (*.f64 y (-.f64 1 z))))
(fma.f64 y (+.f64 1 (-.f64 (log.f64 z) 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 (*.f64 y (-.f64 1 z))))
(fma.f64 y (+.f64 1 (-.f64 (log.f64 z) 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 z (neg.f64 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 (*.f64 y (-.f64 1 z))))
(fma.f64 y (+.f64 1 (-.f64 (log.f64 z) 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 (*.f64 y (-.f64 1 z))))
(fma.f64 y (+.f64 1 (-.f64 (log.f64 z) 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 (*.f64 y (-.f64 1 z))))
(fma.f64 y (+.f64 1 (-.f64 (log.f64 z) 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))
y
(+.f64 (*.f64 -1 (*.f64 y z)) y)
(fma.f64 -1 (*.f64 y z) y)
(-.f64 y (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) y)
(fma.f64 -1 (*.f64 y z) y)
(-.f64 y (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) y)
(fma.f64 -1 (*.f64 y z) y)
(-.f64 y (*.f64 y z))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(+.f64 y (*.f64 -1 (*.f64 y z)))
(fma.f64 -1 (*.f64 y z) y)
(-.f64 y (*.f64 y z))
(+.f64 y (*.f64 -1 (*.f64 y z)))
(fma.f64 -1 (*.f64 y z) y)
(-.f64 y (*.f64 y z))
(+.f64 y (*.f64 -1 (*.f64 y z)))
(fma.f64 -1 (*.f64 y z) y)
(-.f64 y (*.f64 y z))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(+.f64 y (*.f64 -1 (*.f64 y z)))
(fma.f64 -1 (*.f64 y z) y)
(-.f64 y (*.f64 y z))
(+.f64 y (*.f64 -1 (*.f64 y z)))
(fma.f64 -1 (*.f64 y z) y)
(-.f64 y (*.f64 y z))
(+.f64 y (*.f64 -1 (*.f64 y z)))
(fma.f64 -1 (*.f64 y z) y)
(-.f64 y (*.f64 y z))

localize5.0ms (0.1%)

Compiler

Compiled 11 to 5 computations (54.5% saved)

localize8.0ms (0.1%)

Compiler

Compiled 19 to 10 computations (47.4% saved)

localize22.0ms (0.3%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.2b
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 1 (log.f64 z)))) 2)
0.1b
(sqrt.f64 (*.f64 y (+.f64 1 (log.f64 z))))
0.0b
(+.f64 (*.f64 x 1/2) (pow.f64 (sqrt.f64 (*.f64 y (+.f64 1 (log.f64 z)))) 2))
0.0b
(+.f64 1 (log.f64 z))
0.0b
(+.f64 (*.f64 x 1/2) (pow.f64 (sqrt.f64 (*.f64 y (+.f64 1 (log.f64 z)))) 2))
0.1b
(sqrt.f64 (*.f64 y (+.f64 1 (log.f64 z))))
0.2b
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 1 (log.f64 z)))) 2)
0.3b
(*.f64 y (+.f64 1 (log.f64 z)))
Compiler

Compiled 53 to 33 computations (37.7% saved)

series12.0ms (0.2%)

Counts
4 → 73
Calls

27 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 1 (log.f64 z)))) 2)
1.0ms
y
@0
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 1 (log.f64 z)))) 2)
1.0ms
y
@inf
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 1 (log.f64 z)))) 2)
1.0ms
z
@-inf
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 1 (log.f64 z)))) 2)
1.0ms
z
@inf
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 1 (log.f64 z)))) 2)

rewrite70.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
593×log-prod_binary64
513×fma-def_binary64
428×pow-prod-down_binary64
330×pow2_binary64
230×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01442
130142
2355134
Stop Event
node limit
Counts
4 → 237
Calls
Call 1
Inputs
(*.f64 y (+.f64 1 (log.f64 z)))
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 1 (log.f64 z)))) 2)
(sqrt.f64 (*.f64 y (+.f64 1 (log.f64 z))))
(+.f64 (*.f64 x 1/2) (pow.f64 (sqrt.f64 (*.f64 y (+.f64 1 (log.f64 z)))) 2))
Outputs
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(cbrt.f64 (*.f64 y y))) (cbrt.f64 y) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 1 (log.f64 z)) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (fma.f64 y (log.f64 z) y)) (cbrt.f64 (fma.f64 y (log.f64 z) y))) (pow.f64 (fma.f64 y (log.f64 z) y) 1/6) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (fma.f64 y (log.f64 z) y) y) 1/2) (hypot.f64 1 (sqrt.f64 (log.f64 z))) (*.f64 x 1/2))))))

simplify152.0ms (2.1%)

Algorithm
egg-herbie
Rules
1009×distribute-rgt-in_binary64
886×unsub-neg_binary64
796×distribute-lft-in_binary64
477×fma-neg_binary64
437×distribute-neg-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
029750
165750
2150610
3405610
4855610
51852610
64216610
75428610
86208610
96677610
106844610
116870610
126876610
136876610
146876610
156908610
166908610
Stop Event
node limit
Counts
310 → 197
Calls
Call 1
Inputs
(*.f64 (+.f64 1 (log.f64 z)) y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z)))))
(*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z)))))
(*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z)))))
(*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z)))))
(*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))
(*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))
(*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))
(*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))
(*.f64 (+.f64 1 (log.f64 z)) y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z)))))
(*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z)))))
(*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z)))))
(*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z)))))
(*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))
(*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))
(*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))
(*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))
(sqrt.f64 (*.f64 (+.f64 1 (log.f64 z)) y))
(sqrt.f64 (*.f64 (+.f64 1 (log.f64 z)) y))
(sqrt.f64 (*.f64 (+.f64 1 (log.f64 z)) y))
(sqrt.f64 (*.f64 (+.f64 1 (log.f64 z)) y))
(sqrt.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))))
(sqrt.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))))
(sqrt.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))))
(sqrt.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))))
(sqrt.f64 (*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(sqrt.f64 (*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(sqrt.f64 (*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(sqrt.f64 (*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))) (*.f64 1/2 x))
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))) (*.f64 1/2 x))
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))) (*.f64 1/2 x))
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))) (*.f64 1/2 x))
(+.f64 (*.f64 1/2 x) (*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(+.f64 (*.f64 1/2 x) (*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(+.f64 (*.f64 1/2 x) (*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(+.f64 (*.f64 1/2 x) (*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
Outputs
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 y (*.f64 (log.f64 z) y))
(fma.f64 (log.f64 z) y y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 y (*.f64 (log.f64 z) y))
(fma.f64 (log.f64 z) y y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 y (*.f64 (log.f64 z) y))
(fma.f64 (log.f64 z) y y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 y (*.f64 (log.f64 z) y))
(fma.f64 (log.f64 z) y y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 y (*.f64 (log.f64 z) y))
(fma.f64 (log.f64 z) y y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 y (*.f64 (log.f64 z) y))
(fma.f64 (log.f64 z) y y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 y (*.f64 (log.f64 z) y))
(fma.f64 (log.f64 z) y y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 y (*.f64 (log.f64 z) y))
(fma.f64 (log.f64 z) y y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 y (*.f64 (log.f64 z) y))
(fma.f64 (log.f64 z) y y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 y (*.f64 (log.f64 z) y))
(fma.f64 (log.f64 z) y y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 y (*.f64 (log.f64 z) y))
(fma.f64 (log.f64 z) y y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 y (*.f64 (log.f64 z) y))
(fma.f64 (log.f64 z) y y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 y (*.f64 (log.f64 z) y))
(fma.f64 (log.f64 z) y y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 y (*.f64 (log.f64 z) y))
(fma.f64 (log.f64 z) y y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 y (*.f64 (log.f64 z) y))
(fma.f64 (log.f64 z) y y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 y (*.f64 (log.f64 z) y))
(fma.f64 (log.f64 z) y y)
(*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z)))))
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 y (*.f64 (log.f64 z) y))
(fma.f64 (log.f64 z) y y)
(*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z)))))
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 y (*.f64 (log.f64 z) y))
(fma.f64 (log.f64 z) y y)
(*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z)))))
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 y (*.f64 (log.f64 z) y))
(fma.f64 (log.f64 z) y y)
(*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z)))))
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 y (*.f64 (log.f64 z) y))
(fma.f64 (log.f64 z) y y)
(*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 y (*.f64 (log.f64 z) y))
(fma.f64 (log.f64 z) y y)
(*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 y (*.f64 (log.f64 z) y))
(fma.f64 (log.f64 z) y y)
(*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 y (*.f64 (log.f64 z) y))
(fma.f64 (log.f64 z) y y)
(*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 y (*.f64 (log.f64 z) y))
(fma.f64 (log.f64 z) y y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 y (*.f64 (log.f64 z) y))
(fma.f64 (log.f64 z) y y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 y (*.f64 (log.f64 z) y))
(fma.f64 (log.f64 z) y y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 y (*.f64 (log.f64 z) y))
(fma.f64 (log.f64 z) y y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 y (*.f64 (log.f64 z) y))
(fma.f64 (log.f64 z) y y)
(*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z)))))
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 y (*.f64 (log.f64 z) y))
(fma.f64 (log.f64 z) y y)
(*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z)))))
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 y (*.f64 (log.f64 z) y))
(fma.f64 (log.f64 z) y y)
(*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z)))))
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 y (*.f64 (log.f64 z) y))
(fma.f64 (log.f64 z) y y)
(*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z)))))
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 y (*.f64 (log.f64 z) y))
(fma.f64 (log.f64 z) y y)
(*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 y (*.f64 (log.f64 z) y))
(fma.f64 (log.f64 z) y y)
(*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 y (*.f64 (log.f64 z) y))
(fma.f64 (log.f64 z) y y)
(*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 y (*.f64 (log.f64 z) y))
(fma.f64 (log.f64 z) y y)
(*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 y (*.f64 (log.f64 z) y))
(fma.f64 (log.f64 z) y y)
(sqrt.f64 (*.f64 (+.f64 1 (log.f64 z)) y))
(sqrt.f64 (+.f64 y (*.f64 (log.f64 z) y)))
(sqrt.f64 (fma.f64 (log.f64 z) y y))
(sqrt.f64 (*.f64 (+.f64 1 (log.f64 z)) y))
(sqrt.f64 (+.f64 y (*.f64 (log.f64 z) y)))
(sqrt.f64 (fma.f64 (log.f64 z) y y))
(sqrt.f64 (*.f64 (+.f64 1 (log.f64 z)) y))
(sqrt.f64 (+.f64 y (*.f64 (log.f64 z) y)))
(sqrt.f64 (fma.f64 (log.f64 z) y y))
(sqrt.f64 (*.f64 (+.f64 1 (log.f64 z)) y))
(sqrt.f64 (+.f64 y (*.f64 (log.f64 z) y)))
(sqrt.f64 (fma.f64 (log.f64 z) y y))
(sqrt.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))))
(sqrt.f64 (*.f64 (+.f64 1 (log.f64 z)) y))
(sqrt.f64 (+.f64 y (*.f64 (log.f64 z) y)))
(sqrt.f64 (fma.f64 (log.f64 z) y y))
(sqrt.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))))
(sqrt.f64 (*.f64 (+.f64 1 (log.f64 z)) y))
(sqrt.f64 (+.f64 y (*.f64 (log.f64 z) y)))
(sqrt.f64 (fma.f64 (log.f64 z) y y))
(sqrt.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))))
(sqrt.f64 (*.f64 (+.f64 1 (log.f64 z)) y))
(sqrt.f64 (+.f64 y (*.f64 (log.f64 z) y)))
(sqrt.f64 (fma.f64 (log.f64 z) y y))
(sqrt.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))))
(sqrt.f64 (*.f64 (+.f64 1 (log.f64 z)) y))
(sqrt.f64 (+.f64 y (*.f64 (log.f64 z) y)))
(sqrt.f64 (fma.f64 (log.f64 z) y y))
(sqrt.f64 (*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(sqrt.f64 (*.f64 (+.f64 1 (log.f64 z)) y))
(sqrt.f64 (+.f64 y (*.f64 (log.f64 z) y)))
(sqrt.f64 (fma.f64 (log.f64 z) y y))
(sqrt.f64 (*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(sqrt.f64 (*.f64 (+.f64 1 (log.f64 z)) y))
(sqrt.f64 (+.f64 y (*.f64 (log.f64 z) y)))
(sqrt.f64 (fma.f64 (log.f64 z) y y))
(sqrt.f64 (*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(sqrt.f64 (*.f64 (+.f64 1 (log.f64 z)) y))
(sqrt.f64 (+.f64 y (*.f64 (log.f64 z) y)))
(sqrt.f64 (fma.f64 (log.f64 z) y y))
(sqrt.f64 (*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(sqrt.f64 (*.f64 (+.f64 1 (log.f64 z)) y))
(sqrt.f64 (+.f64 y (*.f64 (log.f64 z) y)))
(sqrt.f64 (fma.f64 (log.f64 z) y y))
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 y (*.f64 (log.f64 z) y))
(fma.f64 (log.f64 z) y y)
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(fma.f64 1/2 x (*.f64 (+.f64 1 (log.f64 z)) y))
(fma.f64 (+.f64 1 (log.f64 z)) y (*.f64 1/2 x))
(fma.f64 1/2 x (fma.f64 (log.f64 z) y y))
(fma.f64 (log.f64 z) y (fma.f64 1/2 x y))
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(fma.f64 1/2 x (*.f64 (+.f64 1 (log.f64 z)) y))
(fma.f64 (+.f64 1 (log.f64 z)) y (*.f64 1/2 x))
(fma.f64 1/2 x (fma.f64 (log.f64 z) y y))
(fma.f64 (log.f64 z) y (fma.f64 1/2 x y))
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(fma.f64 1/2 x (*.f64 (+.f64 1 (log.f64 z)) y))
(fma.f64 (+.f64 1 (log.f64 z)) y (*.f64 1/2 x))
(fma.f64 1/2 x (fma.f64 (log.f64 z) y y))
(fma.f64 (log.f64 z) y (fma.f64 1/2 x y))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(fma.f64 1/2 x (*.f64 (+.f64 1 (log.f64 z)) y))
(fma.f64 (+.f64 1 (log.f64 z)) y (*.f64 1/2 x))
(fma.f64 1/2 x (fma.f64 (log.f64 z) y y))
(fma.f64 (log.f64 z) y (fma.f64 1/2 x y))
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(fma.f64 1/2 x (*.f64 (+.f64 1 (log.f64 z)) y))
(fma.f64 (+.f64 1 (log.f64 z)) y (*.f64 1/2 x))
(fma.f64 1/2 x (fma.f64 (log.f64 z) y y))
(fma.f64 (log.f64 z) y (fma.f64 1/2 x y))
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(fma.f64 1/2 x (*.f64 (+.f64 1 (log.f64 z)) y))
(fma.f64 (+.f64 1 (log.f64 z)) y (*.f64 1/2 x))
(fma.f64 1/2 x (fma.f64 (log.f64 z) y y))
(fma.f64 (log.f64 z) y (fma.f64 1/2 x y))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(fma.f64 1/2 x (*.f64 (+.f64 1 (log.f64 z)) y))
(fma.f64 (+.f64 1 (log.f64 z)) y (*.f64 1/2 x))
(fma.f64 1/2 x (fma.f64 (log.f64 z) y y))
(fma.f64 (log.f64 z) y (fma.f64 1/2 x y))
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(fma.f64 1/2 x (*.f64 (+.f64 1 (log.f64 z)) y))
(fma.f64 (+.f64 1 (log.f64 z)) y (*.f64 1/2 x))
(fma.f64 1/2 x (fma.f64 (log.f64 z) y y))
(fma.f64 (log.f64 z) y (fma.f64 1/2 x y))
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(fma.f64 1/2 x (*.f64 (+.f64 1 (log.f64 z)) y))
(fma.f64 (+.f64 1 (log.f64 z)) y (*.f64 1/2 x))
(fma.f64 1/2 x (fma.f64 (log.f64 z) y y))
(fma.f64 (log.f64 z) y (fma.f64 1/2 x y))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(fma.f64 1/2 x (*.f64 (+.f64 1 (log.f64 z)) y))
(fma.f64 (+.f64 1 (log.f64 z)) y (*.f64 1/2 x))
(fma.f64 1/2 x (fma.f64 (log.f64 z) y y))
(fma.f64 (log.f64 z) y (fma.f64 1/2 x y))
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(fma.f64 1/2 x (*.f64 (+.f64 1 (log.f64 z)) y))
(fma.f64 (+.f64 1 (log.f64 z)) y (*.f64 1/2 x))
(fma.f64 1/2 x (fma.f64 (log.f64 z) y y))
(fma.f64 (log.f64 z) y (fma.f64 1/2 x y))
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(fma.f64 1/2 x (*.f64 (+.f64 1 (log.f64 z)) y))
(fma.f64 (+.f64 1 (log.f64 z)) y (*.f64 1/2 x))
(fma.f64 1/2 x (fma.f64 (log.f64 z) y y))
(fma.f64 (log.f64 z) y (fma.f64 1/2 x y))
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(fma.f64 1/2 x (*.f64 (+.f64 1 (log.f64 z)) y))
(fma.f64 (+.f64 1 (log.f64 z)) y (*.f64 1/2 x))
(fma.f64 1/2 x (fma.f64 (log.f64 z) y y))
(fma.f64 (log.f64 z) y (fma.f64 1/2 x y))
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))) (*.f64 1/2 x))
(fma.f64 1/2 x (*.f64 (+.f64 1 (log.f64 z)) y))
(fma.f64 (+.f64 1 (log.f64 z)) y (*.f64 1/2 x))
(fma.f64 1/2 x (fma.f64 (log.f64 z) y y))
(fma.f64 (log.f64 z) y (fma.f64 1/2 x y))
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))) (*.f64 1/2 x))
(fma.f64 1/2 x (*.f64 (+.f64 1 (log.f64 z)) y))
(fma.f64 (+.f64 1 (log.f64 z)) y (*.f64 1/2 x))
(fma.f64 1/2 x (fma.f64 (log.f64 z) y y))
(fma.f64 (log.f64 z) y (fma.f64 1/2 x y))
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))) (*.f64 1/2 x))
(fma.f64 1/2 x (*.f64 (+.f64 1 (log.f64 z)) y))
(fma.f64 (+.f64 1 (log.f64 z)) y (*.f64 1/2 x))
(fma.f64 1/2 x (fma.f64 (log.f64 z) y y))
(fma.f64 (log.f64 z) y (fma.f64 1/2 x y))
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))) (*.f64 1/2 x))
(fma.f64 1/2 x (*.f64 (+.f64 1 (log.f64 z)) y))
(fma.f64 (+.f64 1 (log.f64 z)) y (*.f64 1/2 x))
(fma.f64 1/2 x (fma.f64 (log.f64 z) y y))
(fma.f64 (log.f64 z) y (fma.f64 1/2 x y))
(+.f64 (*.f64 1/2 x) (*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(fma.f64 1/2 x (*.f64 (+.f64 1 (log.f64 z)) y))
(fma.f64 (+.f64 1 (log.f64 z)) y (*.f64 1/2 x))
(fma.f64 1/2 x (fma.f64 (log.f64 z) y y))
(fma.f64 (log.f64 z) y (fma.f64 1/2 x y))
(+.f64 (*.f64 1/2 x) (*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(fma.f64 1/2 x (*.f64 (+.f64 1 (log.f64 z)) y))
(fma.f64 (+.f64 1 (log.f64 z)) y (*.f64 1/2 x))
(fma.f64 1/2 x (fma.f64 (log.f64 z) y y))
(fma.f64 (log.f64 z) y (fma.f64 1/2 x y))
(+.f64 (*.f64 1/2 x) (*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(fma.f64 1/2 x (*.f64 (+.f64 1 (log.f64 z)) y))
(fma.f64 (+.f64 1 (log.f64 z)) y (*.f64 1/2 x))
(fma.f64 1/2 x (fma.f64 (log.f64 z) y y))
(fma.f64 (log.f64 z) y (fma.f64 1/2 x y))
(+.f64 (*.f64 1/2 x) (*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(fma.f64 1/2 x (*.f64 (+.f64 1 (log.f64 z)) y))
(fma.f64 (+.f64 1 (log.f64 z)) y (*.f64 1/2 x))
(fma.f64 1/2 x (fma.f64 (log.f64 z) y y))
(fma.f64 (log.f64 z) y (fma.f64 1/2 x y))

localize23.0ms (0.3%)

Local error

Found 8 expressions with local error:

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

Compiled 61 to 31 computations (49.2% saved)

series7.0ms (0.1%)

Counts
3 → 72
Calls

21 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (+.f64 (-.f64 1 z) (log.f64 z))))
0.0ms
y
@-inf
(*.f64 (sqrt.f64 y) (+.f64 (-.f64 1 z) (log.f64 z)))
0.0ms
y
@0
(*.f64 (sqrt.f64 y) (+.f64 (-.f64 1 z) (log.f64 z)))
0.0ms
y
@inf
(*.f64 (sqrt.f64 y) (+.f64 (-.f64 1 z) (log.f64 z)))
0.0ms
y
@0
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (+.f64 (-.f64 1 z) (log.f64 z))))

rewrite70.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
754×log-prod_binary64
690×fma-def_binary64
317×fma-neg_binary64
269×expm1-udef_binary64
268×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01442
130842
2438642
Stop Event
node limit
Counts
3 → 155
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (+.f64 (-.f64 1 z) (log.f64 z))))
(*.f64 (sqrt.f64 y) (+.f64 (-.f64 1 z) (log.f64 z)))
(+.f64 (*.f64 x 1/2) (*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (+.f64 (-.f64 1 z) (log.f64 z)))))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 y) (+.f64 (-.f64 1 z) (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 y) (-.f64 1 z)) (*.f64 (sqrt.f64 y) (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 y) (log.f64 z)) (*.f64 (sqrt.f64 y) (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 y) (-.f64 1 z)) 1) (*.f64 (*.f64 (sqrt.f64 y) (log.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 z (exp.f64 (-.f64 1 z))) (sqrt.f64 y))) (cbrt.f64 (pow.f64 (*.f64 z (exp.f64 (-.f64 1 z))) (sqrt.f64 y))))) (log.f64 (cbrt.f64 (pow.f64 (*.f64 z (exp.f64 (-.f64 1 z))) (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (*.f64 z (exp.f64 (-.f64 1 z))) (sqrt.f64 y)))) (log.f64 (sqrt.f64 (pow.f64 (*.f64 z (exp.f64 (-.f64 1 z))) (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 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(-.f64 1 z) (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)) (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) 2) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) 2) (cbrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 y) (+.f64 (-.f64 1 z) (log.f64 z)))) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 y) (+.f64 (-.f64 1 z) (log.f64 z)))) (sqrt.f64 y)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y 1/4) (*.f64 (pow.f64 y 1/4) (*.f64 (sqrt.f64 y) (+.f64 (-.f64 1 z) (log.f64 z)))) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) (sqrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (cbrt.f64 (pow.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 2))) (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 (+.f64 (-.f64 1 z) (log.f64 z)))) (sqrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 y (pow.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 2)))) (cbrt.f64 (*.f64 (sqrt.f64 y) (+.f64 (-.f64 1 z) (log.f64 z)))) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 (sqrt.f64 y) (+.f64 (-.f64 1 z) (log.f64 z))))) (sqrt.f64 (*.f64 (sqrt.f64 y) (+.f64 (-.f64 1 z) (log.f64 z)))) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (sqrt.f64 y) (+.f64 (-.f64 1 z) (log.f64 z))) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (sqrt.f64 y) (+.f64 (-.f64 1 z) (log.f64 z))) (pow.f64 y 1/4)) (pow.f64 y 1/4) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))))))

simplify72.0ms (1%)

Algorithm
egg-herbie
Rules
875×unsub-neg_binary64
517×distribute-neg-in_binary64
375×associate-+l-_binary64
252×distribute-rgt-in_binary64
241×neg-sub0_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
050985
1148976
2433927
31512927
43795927
56920927
Stop Event
node limit
Counts
227 → 181
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 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))))
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (log.f64 z)) y))
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))) (*.f64 -1 (*.f64 y z)))
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))) (*.f64 -1 (*.f64 y z)))
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))) (*.f64 -1 (*.f64 y z)))
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(*.f64 (+.f64 1 (log.f64 z)) (sqrt.f64 y))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 y) z)) (*.f64 (+.f64 1 (log.f64 z)) (sqrt.f64 y)))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 y) z)) (*.f64 (+.f64 1 (log.f64 z)) (sqrt.f64 y)))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 y) z)) (*.f64 (+.f64 1 (log.f64 z)) (sqrt.f64 y)))
(*.f64 -1 (*.f64 (sqrt.f64 y) z))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 y) z)) (*.f64 (sqrt.f64 y) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 y) z)) (*.f64 (sqrt.f64 y) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 y) z)) (*.f64 (sqrt.f64 y) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))))
(*.f64 -1 (*.f64 (sqrt.f64 y) z))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 y) z)) (*.f64 (sqrt.f64 y) (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 y) z)) (*.f64 (sqrt.f64 y) (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 y) z)) (*.f64 (sqrt.f64 y) (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 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 1/2 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 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 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 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))))
(+.f64 (*.f64 1/2 x) (*.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (log.f64 z)) y)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (log.f64 z)) y)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (log.f64 z)) y)))
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))) (*.f64 -1 (*.f64 y z))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))) (*.f64 -1 (*.f64 y z))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))) (*.f64 -1 (*.f64 y z))))
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))))
Outputs
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(+.f64 y (*.f64 (-.f64 (log.f64 z) z) y))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(+.f64 y (*.f64 (-.f64 (log.f64 z) z) y))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(+.f64 y (*.f64 (-.f64 (log.f64 z) z) y))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(+.f64 y (*.f64 (-.f64 (log.f64 z) z) y))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(+.f64 y (*.f64 (-.f64 (log.f64 z) z) y))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(+.f64 y (*.f64 (-.f64 (log.f64 z) z) y))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(+.f64 y (*.f64 (-.f64 (log.f64 z) z) y))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(+.f64 y (*.f64 (-.f64 (log.f64 z) z) y))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(+.f64 y (*.f64 (-.f64 (log.f64 z) z) y))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(+.f64 y (*.f64 (-.f64 (log.f64 z) z) y))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(+.f64 y (*.f64 (-.f64 (log.f64 z) z) y))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 -1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(+.f64 y (*.f64 (-.f64 (log.f64 z) z) y))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 (+.f64 1 (log.f64 z)) y)
(*.f64 y (+.f64 1 (log.f64 z)))
(fma.f64 y (log.f64 z) y)
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (log.f64 z)) y))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(+.f64 y (*.f64 (-.f64 (log.f64 z) z) y))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (log.f64 z)) y))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(+.f64 y (*.f64 (-.f64 (log.f64 z) z) y))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 (+.f64 1 (log.f64 z)) y))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(+.f64 y (*.f64 (-.f64 (log.f64 z) z) y))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))) (*.f64 -1 (*.f64 y z)))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(+.f64 y (*.f64 (-.f64 (log.f64 z) z) y))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))) (*.f64 -1 (*.f64 y z)))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(+.f64 y (*.f64 (-.f64 (log.f64 z) z) y))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z))))) (*.f64 -1 (*.f64 y z)))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(+.f64 y (*.f64 (-.f64 (log.f64 z) z) y))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
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(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 1 (+.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 y (+.f64 1 (-.f64 (log.f64 z) z)) (*.f64 1/2 x))
(fma.f64 y (+.f64 (log.f64 z) (-.f64 1 z)) (*.f64 1/2 x))
(+.f64 (*.f64 y (-.f64 (log.f64 z) z)) (fma.f64 1/2 x y))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 1 (+.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 y (+.f64 1 (-.f64 (log.f64 z) z)) (*.f64 1/2 x))
(fma.f64 y (+.f64 (log.f64 z) (-.f64 1 z)) (*.f64 1/2 x))
(+.f64 (*.f64 y (-.f64 (log.f64 z) z)) (fma.f64 1/2 x y))

eval260.0ms (3.6%)

Compiler

Compiled 13126 to 7203 computations (45.1% saved)

prune204.0ms (2.8%)

Pruning

18 alts after pruning (12 fresh and 6 done)

PrunedKeptTotal
New6807687
Fresh5510
Picked101
Done167
Total68718705
Error
0b
Counts
705 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
30.5b
(+.f64 (*.f64 y (log.f64 z)) (*.f64 y (-.f64 1 z)))
0.7b
(+.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) 3))
32.7b
(*.f64 1/2 x)
19.4b
(+.f64 (*.f64 x 1/2) (*.f64 (+.f64 1 (log.f64 z)) y))
49.2b
(*.f64 (+.f64 1 (log.f64 z)) y)
14.6b
(+.f64 (*.f64 x 1/2) (*.f64 z (neg.f64 y)))
19.9b
(+.f64 (*.f64 x 1/2) (+.f64 (*.f64 y (log.f64 z)) (expm1.f64 (log1p.f64 (*.f64 y (-.f64 1 z))))))
19.4b
(+.f64 (*.f64 x 1/2) (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (log.f64 z)) 3)) y))
0.1b
(+.f64 (*.f64 x 1/2) (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
14.5b
(fma.f64 (neg.f64 z) y (*.f64 x 1/2))
30.4b
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
30.5b
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
43.5b
(+.f64 (*.f64 x 1/2) (pow.f64 (sqrt.f64 (*.f64 y (+.f64 1 (log.f64 z)))) 2))
19.6b
(+.f64 (*.f64 x 1/2) (/.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 z) 2))) (-.f64 1 (log.f64 z))))
44.7b
(*.f64 y (neg.f64 z))
40.9b
(+.f64 (*.f64 x 1/2) (*.f64 (*.f64 (+.f64 1 (log.f64 z)) (sqrt.f64 y)) (sqrt.f64 y)))
27.1b
(+.f64 (*.f64 x 1/2) (*.f64 (*.f64 (+.f64 1 (log.f64 z)) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y)))
32.4b
(/.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 2)) (-.f64 (*.f64 x 1/2) (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))))
Compiler

Compiled 459 to 337 computations (26.6% saved)

localize31.0ms (0.4%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.6b
(cbrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
0.2b
(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
0.0b
(+.f64 (-.f64 1 z) (log.f64 z))
0.0b
(+.f64 (*.f64 x 1/2) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) 3))
0.0b
(+.f64 (-.f64 1 z) (log.f64 z))
0.2b
(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
0.6b
(cbrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
0.8b
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) 3)
Compiler

Compiled 66 to 40 computations (39.4% saved)

series12.0ms (0.2%)

Counts
2 → 8
Calls

12 calls:

TimeVariablePointExpression
3.0ms
z
@0
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) 3)
2.0ms
z
@-inf
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) 3)
2.0ms
y
@-inf
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) 3)
1.0ms
y
@0
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) 3)
1.0ms
z
@inf
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) 3)

rewrite53.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
503×log-prod_binary64
393×pow-prod-down_binary64
365×fma-def_binary64
280×pow2_binary64
200×pow-to-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01126
124526
2309226
Stop Event
node limit
Counts
2 → 111
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) 3)
(cbrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
Outputs
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z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (log.f64 z))) 2) (cbrt.f64 (*.f64 y (log.f64 z))) (*.f64 y (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y (-.f64 1 z))) (sqrt.f64 (*.f64 y (-.f64 1 z))) (*.f64 y (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y (log.f64 z))) (sqrt.f64 (*.f64 y (log.f64 z))) (*.f64 y (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (cbrt.f64 (pow.f64 (-.f64 1 z) 2))) (cbrt.f64 (-.f64 1 z)) (*.f64 y (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 (-.f64 1 z))) (sqrt.f64 (-.f64 1 z)) (*.f64 y (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1 z) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y) (*.f64 y (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1 z) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log.f64 z) (cbrt.f64 (*.f64 y y))) (cbrt.f64 y) (*.f64 y (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log.f64 z) (sqrt.f64 y)) (sqrt.f64 y) (*.f64 y (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 (log.f64 z)) 2)) (cbrt.f64 (log.f64 z)) (*.f64 y (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 (log.f64 z))) (sqrt.f64 (log.f64 z)) (*.f64 y (-.f64 1 z)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 y) (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))) 2) (cbrt.f64 (cbrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (-.f64 1 z) (log.f64 z))) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 1/6) (pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log.f64 y) (log1p.f64 (fma.f64 -1 z (log.f64 z)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/6 (+.f64 (log.f64 y) (log1p.f64 (fma.f64 -1 z (log.f64 z))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (+.f64 (log.f64 y) (log1p.f64 (fma.f64 -1 z (log.f64 z)))) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (+.f64 (log.f64 y) (log1p.f64 (fma.f64 -1 z (log.f64 z)))) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))))))))

simplify50.0ms (0.7%)

Algorithm
egg-herbie
Rules
658×associate-*l*_binary64
634×associate-*r*_binary64
565×fma-def_binary64
346×distribute-rgt-out_binary64
316×unswap-sqr_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0115961
1384936
21247846
36451837
Stop Event
node limit
Counts
119 → 127
Calls
Call 1
Inputs
(*.f64 (*.f64 (+.f64 1 (log.f64 z)) y) (pow.f64 1 1/3))
(+.f64 (*.f64 (+.f64 (*.f64 -2/3 (pow.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 z)) 4) (*.f64 1 (pow.f64 y 13))) 1/9)) (*.f64 -1/3 (pow.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 z)) 4) (*.f64 1 (pow.f64 y 13))) 1/9))) z) (*.f64 (*.f64 (+.f64 1 (log.f64 z)) y) (pow.f64 1 1/3)))
(+.f64 (*.f64 (+.f64 (*.f64 -2/3 (pow.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 z)) 4) (*.f64 1 (pow.f64 y 13))) 1/9)) (*.f64 -1/3 (pow.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 z)) 4) (*.f64 1 (pow.f64 y 13))) 1/9))) z) (+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (+.f64 1 (log.f64 z)) (*.f64 1 y)) 1/3) (+.f64 (*.f64 -2/9 (pow.f64 (/.f64 (*.f64 1 (pow.f64 y 14)) (pow.f64 (+.f64 1 (log.f64 z)) 4)) 1/9)) (*.f64 1/9 (pow.f64 (/.f64 (*.f64 1 (pow.f64 y 14)) (pow.f64 (+.f64 1 (log.f64 z)) 4)) 1/9)))) (+.f64 (*.f64 -1/9 (pow.f64 (/.f64 (*.f64 1 (pow.f64 y 17)) (+.f64 1 (log.f64 z))) 1/9)) (*.f64 2/9 (pow.f64 (/.f64 (*.f64 1 (pow.f64 y 17)) (+.f64 1 (log.f64 z))) 1/9)))) (pow.f64 z 2)) (*.f64 (*.f64 (+.f64 1 (log.f64 z)) y) (pow.f64 1 1/3))))
(+.f64 (*.f64 (+.f64 (*.f64 2/27 (*.f64 (pow.f64 (/.f64 (pow.f64 y 7) (pow.f64 (+.f64 1 (log.f64 z)) 2)) 1/3) (pow.f64 (pow.f64 1 4) 1/9))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -1/27 (pow.f64 (/.f64 (*.f64 1 (pow.f64 y 7)) (pow.f64 (+.f64 1 (log.f64 z)) 2)) 1/3)) (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 y 7) (pow.f64 (+.f64 1 (log.f64 z)) 2)) 1/3) (pow.f64 (pow.f64 1 4) 1/9)))))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 y 7)) (pow.f64 (+.f64 1 (log.f64 z)) 2)) 1/9) (+.f64 (*.f64 -2/9 (pow.f64 (/.f64 (*.f64 1 (pow.f64 y 14)) (pow.f64 (+.f64 1 (log.f64 z)) 4)) 1/9)) (*.f64 1/9 (pow.f64 (/.f64 (*.f64 1 (pow.f64 y 14)) (pow.f64 (+.f64 1 (log.f64 z)) 4)) 1/9))))) (*.f64 (pow.f64 (*.f64 (+.f64 1 (log.f64 z)) (*.f64 1 y)) 1/3) (+.f64 (*.f64 2/27 (*.f64 (/.f64 (pow.f64 y 2) (+.f64 1 (log.f64 z))) (pow.f64 1 1/9))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (+.f64 1 (log.f64 z)) y)) 1/3) (+.f64 (*.f64 -1/27 (pow.f64 (/.f64 (*.f64 1 (pow.f64 y 7)) (pow.f64 (+.f64 1 (log.f64 z)) 2)) 1/3)) (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 y 7) (pow.f64 (+.f64 1 (log.f64 z)) 2)) 1/3) (pow.f64 (pow.f64 1 4) 1/9))))))))))) (pow.f64 z 3)) (+.f64 (*.f64 (+.f64 (*.f64 -2/3 (pow.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 z)) 4) (*.f64 1 (pow.f64 y 13))) 1/9)) (*.f64 -1/3 (pow.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 z)) 4) (*.f64 1 (pow.f64 y 13))) 1/9))) z) (+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (+.f64 1 (log.f64 z)) (*.f64 1 y)) 1/3) (+.f64 (*.f64 -2/9 (pow.f64 (/.f64 (*.f64 1 (pow.f64 y 14)) (pow.f64 (+.f64 1 (log.f64 z)) 4)) 1/9)) (*.f64 1/9 (pow.f64 (/.f64 (*.f64 1 (pow.f64 y 14)) (pow.f64 (+.f64 1 (log.f64 z)) 4)) 1/9)))) (+.f64 (*.f64 -1/9 (pow.f64 (/.f64 (*.f64 1 (pow.f64 y 17)) (+.f64 1 (log.f64 z))) 1/9)) (*.f64 2/9 (pow.f64 (/.f64 (*.f64 1 (pow.f64 y 17)) (+.f64 1 (log.f64 z))) 1/9)))) (pow.f64 z 2)) (*.f64 (*.f64 (+.f64 1 (log.f64 z)) y) (pow.f64 1 1/3)))))
(pow.f64 (*.f64 (+.f64 1 (log.f64 z)) y) 1/3)
(+.f64 (pow.f64 (*.f64 (+.f64 1 (log.f64 z)) y) 1/3) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 y 7)) (pow.f64 (+.f64 1 (log.f64 z)) 2)) 1/9) z)))
(+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 y 11)) (pow.f64 (+.f64 1 (log.f64 z)) 7)) 1/9) (pow.f64 z 2))) (+.f64 (pow.f64 (*.f64 (+.f64 1 (log.f64 z)) y) 1/3) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 y 7)) (pow.f64 (+.f64 1 (log.f64 z)) 2)) 1/9) z))))
(+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 y 11)) (pow.f64 (+.f64 1 (log.f64 z)) 7)) 1/9) (pow.f64 z 2))) (+.f64 (pow.f64 (*.f64 (+.f64 1 (log.f64 z)) y) 1/3) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (log.f64 z)) 2) (pow.f64 y 2))) 1/3) (*.f64 (+.f64 (*.f64 -1/27 (pow.f64 (/.f64 (*.f64 1 (pow.f64 y 7)) (pow.f64 (+.f64 1 (log.f64 z)) 2)) 1/3)) (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 y 7) (pow.f64 (+.f64 1 (log.f64 z)) 2)) 1/3) (pow.f64 (pow.f64 1 4) 1/9)))) (pow.f64 z 3)))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 y 7)) (pow.f64 (+.f64 1 (log.f64 z)) 2)) 1/9) z)))))
Outputs
(*.f64 (*.f64 (+.f64 1 (log.f64 z)) y) (pow.f64 1 1/3))
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 y (*.f64 (log.f64 z) y))
(fma.f64 (log.f64 z) y y)
(+.f64 (*.f64 (+.f64 (*.f64 -2/3 (pow.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 z)) 4) (*.f64 1 (pow.f64 y 13))) 1/9)) (*.f64 -1/3 (pow.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 z)) 4) (*.f64 1 (pow.f64 y 13))) 1/9))) z) (*.f64 (*.f64 (+.f64 1 (log.f64 z)) y) (pow.f64 1 1/3)))
(fma.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 z)) 4) (pow.f64 y 13)) 1/18) (pow.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 z)) 4) (pow.f64 y 13)) 1/18)) -1) z (*.f64 (+.f64 1 (log.f64 z)) y))
(fma.f64 (+.f64 1 (log.f64 z)) y (*.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 z)) 4) (pow.f64 y 13)) 1/18) (pow.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 z)) 4) (pow.f64 y 13)) 1/18)) (*.f64 -1 z)))
(fma.f64 z (neg.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 z)) 4) (pow.f64 y 13)) 1/18) (pow.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 z)) 4) (pow.f64 y 13)) 1/18))) (fma.f64 (log.f64 z) y y))
(fma.f64 z (*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 z)) 4) (pow.f64 y 13)) 1/18) (neg.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 z)) 4) (pow.f64 y 13)) 1/18))) (fma.f64 (log.f64 z) y y))
(+.f64 (*.f64 (+.f64 (*.f64 -2/3 (pow.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 z)) 4) (*.f64 1 (pow.f64 y 13))) 1/9)) (*.f64 -1/3 (pow.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 z)) 4) (*.f64 1 (pow.f64 y 13))) 1/9))) z) (+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (+.f64 1 (log.f64 z)) (*.f64 1 y)) 1/3) (+.f64 (*.f64 -2/9 (pow.f64 (/.f64 (*.f64 1 (pow.f64 y 14)) (pow.f64 (+.f64 1 (log.f64 z)) 4)) 1/9)) (*.f64 1/9 (pow.f64 (/.f64 (*.f64 1 (pow.f64 y 14)) (pow.f64 (+.f64 1 (log.f64 z)) 4)) 1/9)))) (+.f64 (*.f64 -1/9 (pow.f64 (/.f64 (*.f64 1 (pow.f64 y 17)) (+.f64 1 (log.f64 z))) 1/9)) (*.f64 2/9 (pow.f64 (/.f64 (*.f64 1 (pow.f64 y 17)) (+.f64 1 (log.f64 z))) 1/9)))) (pow.f64 z 2)) (*.f64 (*.f64 (+.f64 1 (log.f64 z)) y) (pow.f64 1 1/3))))
(fma.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 z)) 4) (pow.f64 y 13)) 1/18) (pow.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 z)) 4) (pow.f64 y 13)) 1/18)) -1) z (fma.f64 (fma.f64 (cbrt.f64 (*.f64 (+.f64 1 (log.f64 z)) y)) (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 y 14) (pow.f64 (+.f64 1 (log.f64 z)) 4)) 1/18) (pow.f64 (/.f64 (pow.f64 y 14) (pow.f64 (+.f64 1 (log.f64 z)) 4)) 1/18)) -1/9) (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 y 17) (+.f64 1 (log.f64 z))) 1/18) (pow.f64 (/.f64 (pow.f64 y 17) (+.f64 1 (log.f64 z))) 1/18)) 1/9)) (*.f64 z z) (*.f64 (+.f64 1 (log.f64 z)) y)))
(fma.f64 z (*.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 z)) 4) (pow.f64 y 13)) 1/18) (pow.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 z)) 4) (pow.f64 y 13)) 1/18)) -1) (fma.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 y 17) (+.f64 1 (log.f64 z))) 1/18) (pow.f64 (/.f64 (pow.f64 y 17) (+.f64 1 (log.f64 z))) 1/18)) 1/9 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 y 14) (pow.f64 (+.f64 1 (log.f64 z)) 4)) 1/18) (pow.f64 (/.f64 (pow.f64 y 14) (pow.f64 (+.f64 1 (log.f64 z)) 4)) 1/18)) (*.f64 -1/9 (cbrt.f64 (+.f64 y (*.f64 (log.f64 z) y)))))) (*.f64 z z) (+.f64 y (*.f64 (log.f64 z) y))))
(fma.f64 (fma.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 y 17) (+.f64 1 (log.f64 z))) 1/18) (pow.f64 (/.f64 (pow.f64 y 17) (+.f64 1 (log.f64 z))) 1/18)) (*.f64 (cbrt.f64 (fma.f64 (log.f64 z) y y)) (*.f64 (pow.f64 (/.f64 (pow.f64 y 14) (pow.f64 (+.f64 1 (log.f64 z)) 4)) 1/18) (*.f64 -1/9 (pow.f64 (/.f64 (pow.f64 y 14) (pow.f64 (+.f64 1 (log.f64 z)) 4)) 1/18))))) (*.f64 z z) (fma.f64 z (neg.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 z)) 4) (pow.f64 y 13)) 1/18) (pow.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 z)) 4) (pow.f64 y 13)) 1/18))) (fma.f64 (log.f64 z) y y)))
(+.f64 (fma.f64 (log.f64 z) y y) (*.f64 z (-.f64 (*.f64 z (fma.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 y 17) (+.f64 1 (log.f64 z))) 1/18) (pow.f64 (/.f64 (pow.f64 y 17) (+.f64 1 (log.f64 z))) 1/18)) (*.f64 (cbrt.f64 (fma.f64 (log.f64 z) y y)) (*.f64 (pow.f64 (/.f64 (pow.f64 y 14) (pow.f64 (+.f64 1 (log.f64 z)) 4)) 1/18) (*.f64 -1/9 (pow.f64 (/.f64 (pow.f64 y 14) (pow.f64 (+.f64 1 (log.f64 z)) 4)) 1/18)))))) (*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 z)) 4) (pow.f64 y 13)) 1/18) (pow.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 z)) 4) (pow.f64 y 13)) 1/18)))))
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(fma.f64 -1/9 (*.f64 (*.f64 z z) (*.f64 (pow.f64 (/.f64 (pow.f64 y 11) (pow.f64 (+.f64 1 (log.f64 z)) 7)) 1/18) (pow.f64 (/.f64 (pow.f64 y 11) (pow.f64 (+.f64 1 (log.f64 z)) 7)) 1/18))) (fma.f64 -1/3 (fma.f64 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 1 (log.f64 z)) 2)) (*.f64 y y))) (*.f64 (fma.f64 2/9 (cbrt.f64 (/.f64 (pow.f64 y 7) (pow.f64 (+.f64 1 (log.f64 z)) 2))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 y 7) (pow.f64 (+.f64 1 (log.f64 z)) 2))) -1/27)) (pow.f64 z 3)) (*.f64 (pow.f64 (/.f64 (pow.f64 y 7) (pow.f64 (+.f64 1 (log.f64 z)) 2)) 1/18) (*.f64 (pow.f64 (/.f64 (pow.f64 y 7) (pow.f64 (+.f64 1 (log.f64 z)) 2)) 1/18) z))) (cbrt.f64 (+.f64 y (*.f64 (log.f64 z) y)))))
(fma.f64 -1/3 (fma.f64 z (*.f64 (pow.f64 (/.f64 (pow.f64 y 7) (pow.f64 (+.f64 1 (log.f64 z)) 2)) 1/18) (pow.f64 (/.f64 (pow.f64 y 7) (pow.f64 (+.f64 1 (log.f64 z)) 2)) 1/18)) (*.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 y 7) (pow.f64 (+.f64 1 (log.f64 z)) 2))) 5/27) (*.f64 (pow.f64 z 3) (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (log.f64 z)) 2) (*.f64 y y))))))) (fma.f64 -1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 y 11) (pow.f64 (+.f64 1 (log.f64 z)) 7)) 1/18) (*.f64 (*.f64 z z) (pow.f64 (/.f64 (pow.f64 y 11) (pow.f64 (+.f64 1 (log.f64 z)) 7)) 1/18))) (cbrt.f64 (fma.f64 (log.f64 z) y y))))
(fma.f64 -1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 y 11) (pow.f64 (+.f64 1 (log.f64 z)) 7)) 1/18) (*.f64 (*.f64 z z) (pow.f64 (/.f64 (pow.f64 y 11) (pow.f64 (+.f64 1 (log.f64 z)) 7)) 1/18))) (fma.f64 z (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 y 7) (pow.f64 (+.f64 1 (log.f64 z)) 2)) 1/18) (pow.f64 (/.f64 (pow.f64 y 7) (pow.f64 (+.f64 1 (log.f64 z)) 2)) 1/18))) (fma.f64 (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (log.f64 z)) 2) (*.f64 y y)))) (*.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 y 7) (pow.f64 (+.f64 1 (log.f64 z)) 2))) -5/81) (pow.f64 z 3)) (cbrt.f64 (fma.f64 (log.f64 z) y y)))))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 x 1/2) (*.f64 z (neg.f64 y)))
0.0b
(+.f64 (*.f64 x 1/2) (*.f64 z (neg.f64 y)))
Compiler

Compiled 24 to 11 computations (54.2% saved)

series5.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
z
@inf
(+.f64 (*.f64 x 1/2) (*.f64 z (neg.f64 y)))
0.0ms
x
@0
(+.f64 (*.f64 x 1/2) (*.f64 z (neg.f64 y)))
0.0ms
y
@0
(+.f64 (*.f64 x 1/2) (*.f64 z (neg.f64 y)))
0.0ms
z
@0
(+.f64 (*.f64 x 1/2) (*.f64 z (neg.f64 y)))
0.0ms
y
@inf
(+.f64 (*.f64 x 1/2) (*.f64 z (neg.f64 y)))

rewrite134.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
881×pow1_binary64
816×add-log-exp_binary64
815×log1p-expm1-u_binary64
815×expm1-log1p-u_binary64
799×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0910
11958
226738
Stop Event
node limit
Counts
1 → 40
Calls
Call 1
Inputs
(+.f64 (*.f64 x 1/2) (*.f64 z (neg.f64 y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 1/2) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 z y (*.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 x x) 1/4) (fma.f64 z y (*.f64 x 1/2))) (/.f64 (pow.f64 (*.f64 z y) 2) (fma.f64 z y (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 z y (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 z y (*.f64 x 1/2)) 2) (/.f64 1 (fma.f64 z y (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 z y (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (fma.f64 z y (*.f64 x 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 z y (*.f64 x 1/2))) 2) (cbrt.f64 (fma.f64 z y (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 z y (*.f64 x 1/2))) (sqrt.f64 (fma.f64 z y (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (*.f64 z y) 3)) (/.f64 1 (-.f64 (pow.f64 (fma.f64 z y (*.f64 x 1/2)) 2) (*.f64 (*.f64 (*.f64 x 1/2) y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z y (*.f64 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 z y))) (-.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (pow.f64 (fma.f64 z y (*.f64 x 1/2)) 2) (*.f64 (*.f64 (*.f64 x 1/2) y) z)) (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (*.f64 z y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 z y (*.f64 x 1/2)) (pow.f64 (fma.f64 z y (*.f64 x 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (fma.f64 z y (*.f64 x 1/2)) 2) (fma.f64 z y (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (*.f64 z y) 3)) (-.f64 (pow.f64 (fma.f64 z y (*.f64 x 1/2)) 2) (*.f64 (*.f64 (*.f64 x 1/2) y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (*.f64 z y) 3)) (+.f64 (pow.f64 (*.f64 z y) 2) (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (*.f64 (*.f64 x 1/2) y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (*.f64 z y) 3))) (neg.f64 (-.f64 (pow.f64 (fma.f64 z y (*.f64 x 1/2)) 2) (*.f64 (*.f64 (*.f64 x 1/2) y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (fma.f64 z y (*.f64 x 1/2)) 2)) (neg.f64 (fma.f64 z y (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (*.f64 z y) 3)) (-.f64 (pow.f64 (fma.f64 z y (*.f64 x 1/2)) 2) (*.f64 (*.f64 (*.f64 x 1/2) y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 z y) 2) (*.f64 (*.f64 x x) 1/4)) (-.f64 (*.f64 z y) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z y (*.f64 x 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 z y (*.f64 x 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 z y (*.f64 x 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 z y (*.f64 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 z y (*.f64 x 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 z y (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 z y (*.f64 x 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 z y (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 z y (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 z y (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 x (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z y (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y z (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 1/2) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 z y) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 z y)) 2) (cbrt.f64 (*.f64 z y)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 z y)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (*.f64 z y))))))

simplify51.0ms (0.7%)

Algorithm
egg-herbie
Rules
160×fma-def_binary64
75×fma-neg_binary64
33×cancel-sign-sub-inv_binary64
20×distribute-rgt-neg-in_binary64
18×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010316
118316
236316
349316
470316
5113316
6194316
7271316
8343316
9465316
10523316
11529316
Stop Event
saturated
Counts
76 → 45
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y z)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y z)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y z)))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y z)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y z)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y z)))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y z)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y z)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y z)))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y z)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y z)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y z)))
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y z)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y z)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y z)))
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y z)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y z)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y z)))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y z)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y z)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y z)))
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y z)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y z)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y z)))
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y z)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y z)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y z)))
Outputs
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y z)))
(fma.f64 1/2 x (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 1/2 x) (*.f64 y z))
(fma.f64 y (neg.f64 z) (*.f64 1/2 x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y z)))
(fma.f64 1/2 x (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 1/2 x) (*.f64 y z))
(fma.f64 y (neg.f64 z) (*.f64 1/2 x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y z)))
(fma.f64 1/2 x (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 1/2 x) (*.f64 y z))
(fma.f64 y (neg.f64 z) (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y z)))
(fma.f64 1/2 x (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 1/2 x) (*.f64 y z))
(fma.f64 y (neg.f64 z) (*.f64 1/2 x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y z)))
(fma.f64 1/2 x (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 1/2 x) (*.f64 y z))
(fma.f64 y (neg.f64 z) (*.f64 1/2 x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y z)))
(fma.f64 1/2 x (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 1/2 x) (*.f64 y z))
(fma.f64 y (neg.f64 z) (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y z)))
(fma.f64 1/2 x (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 1/2 x) (*.f64 y z))
(fma.f64 y (neg.f64 z) (*.f64 1/2 x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y z)))
(fma.f64 1/2 x (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 1/2 x) (*.f64 y z))
(fma.f64 y (neg.f64 z) (*.f64 1/2 x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y z)))
(fma.f64 1/2 x (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 1/2 x) (*.f64 y z))
(fma.f64 y (neg.f64 z) (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y z)))
(fma.f64 1/2 x (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 1/2 x) (*.f64 y z))
(fma.f64 y (neg.f64 z) (*.f64 1/2 x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y z)))
(fma.f64 1/2 x (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 1/2 x) (*.f64 y z))
(fma.f64 y (neg.f64 z) (*.f64 1/2 x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y z)))
(fma.f64 1/2 x (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 1/2 x) (*.f64 y z))
(fma.f64 y (neg.f64 z) (*.f64 1/2 x))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y z)))
(fma.f64 1/2 x (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 1/2 x) (*.f64 y z))
(fma.f64 y (neg.f64 z) (*.f64 1/2 x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y z)))
(fma.f64 1/2 x (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 1/2 x) (*.f64 y z))
(fma.f64 y (neg.f64 z) (*.f64 1/2 x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y z)))
(fma.f64 1/2 x (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 1/2 x) (*.f64 y z))
(fma.f64 y (neg.f64 z) (*.f64 1/2 x))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y z)))
(fma.f64 1/2 x (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 1/2 x) (*.f64 y z))
(fma.f64 y (neg.f64 z) (*.f64 1/2 x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y z)))
(fma.f64 1/2 x (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 1/2 x) (*.f64 y z))
(fma.f64 y (neg.f64 z) (*.f64 1/2 x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y z)))
(fma.f64 1/2 x (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 1/2 x) (*.f64 y z))
(fma.f64 y (neg.f64 z) (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y z)))
(fma.f64 1/2 x (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 1/2 x) (*.f64 y z))
(fma.f64 y (neg.f64 z) (*.f64 1/2 x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y z)))
(fma.f64 1/2 x (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 1/2 x) (*.f64 y z))
(fma.f64 y (neg.f64 z) (*.f64 1/2 x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y z)))
(fma.f64 1/2 x (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 1/2 x) (*.f64 y z))
(fma.f64 y (neg.f64 z) (*.f64 1/2 x))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y z)))
(fma.f64 1/2 x (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 1/2 x) (*.f64 y z))
(fma.f64 y (neg.f64 z) (*.f64 1/2 x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y z)))
(fma.f64 1/2 x (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 1/2 x) (*.f64 y z))
(fma.f64 y (neg.f64 z) (*.f64 1/2 x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y z)))
(fma.f64 1/2 x (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 1/2 x) (*.f64 y z))
(fma.f64 y (neg.f64 z) (*.f64 1/2 x))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y z)))
(fma.f64 1/2 x (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 1/2 x) (*.f64 y z))
(fma.f64 y (neg.f64 z) (*.f64 1/2 x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y z)))
(fma.f64 1/2 x (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 1/2 x) (*.f64 y z))
(fma.f64 y (neg.f64 z) (*.f64 1/2 x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y z)))
(fma.f64 1/2 x (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 1/2 x) (*.f64 y z))
(fma.f64 y (neg.f64 z) (*.f64 1/2 x))

localize9.0ms (0.1%)

Local error

Found 6 expressions with local error:

NewErrorProgram
0.2b
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
0.2b
(*.f64 y (-.f64 (log.f64 z) z))
0.0b
(-.f64 (log.f64 z) z)
0.0b
(-.f64 (log.f64 z) z)
0.2b
(*.f64 y (-.f64 (log.f64 z) z))
0.2b
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
Compiler

Compiled 25 to 7 computations (72% saved)

series4.0ms (0.1%)

Counts
2 → 36
Calls

12 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
0.0ms
z
@-inf
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
0.0ms
y
@0
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
0.0ms
z
@inf
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
0.0ms
y
@inf
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))

rewrite97.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
955×pow1_binary64
889×add-log-exp_binary64
889×log1p-expm1-u_binary64
889×expm1-log1p-u_binary64
86×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0721
115719
2236119
Stop Event
node limit
Counts
2 → 57
Calls
Call 1
Inputs
(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
(*.f64 y (-.f64 (log.f64 z) z))
Outputs
((#(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 (/.f64 (*.f64 y y) (-.f64 y (*.f64 y (-.f64 (log.f64 z) z)))) (/.f64 (pow.f64 (*.f64 y (-.f64 (log.f64 z) z)) 2) (-.f64 y (*.f64 y (-.f64 (log.f64 z) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (+.f64 (-.f64 (log.f64 z) z) 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 y 3) (pow.f64 (*.f64 y (-.f64 (log.f64 z) z)) 3)) (/.f64 1 (fma.f64 y y (*.f64 (*.f64 y (-.f64 (log.f64 z) z)) (-.f64 (*.f64 y (-.f64 (log.f64 z) z)) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y (-.f64 (log.f64 z) z)) 2)) (/.f64 1 (-.f64 y (*.f64 y (-.f64 (log.f64 z) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (-.f64 (log.f64 z) z) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 y y (*.f64 (*.f64 y (-.f64 (log.f64 z) z)) (-.f64 (*.f64 y (-.f64 (log.f64 z) z)) y))) (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 y (-.f64 (log.f64 z) z)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 y (*.f64 y (-.f64 (log.f64 z) z))) (-.f64 (*.f64 y y) (pow.f64 (*.f64 y (-.f64 (log.f64 z) z)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 y (-.f64 (log.f64 z) z)) 3)) (fma.f64 y y (*.f64 (*.f64 y (-.f64 (log.f64 z) z)) (-.f64 (*.f64 y (-.f64 (log.f64 z) z)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 y (-.f64 (log.f64 z) z)) 3)) (+.f64 (pow.f64 (*.f64 y (-.f64 (log.f64 z) z)) 2) (-.f64 (*.f64 y y) (*.f64 y (*.f64 y (-.f64 (log.f64 z) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y (-.f64 (log.f64 z) z)) 2)) (-.f64 y (*.f64 y (-.f64 (log.f64 z) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 y (-.f64 (log.f64 z) z)) 3))) (neg.f64 (fma.f64 y y (*.f64 (*.f64 y (-.f64 (log.f64 z) z)) (-.f64 (*.f64 y (-.f64 (log.f64 z) z)) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y (-.f64 (log.f64 z) z)) 2))) (neg.f64 (-.f64 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) (*.f64 y y)) (-.f64 (*.f64 y (-.f64 (log.f64 z) z)) 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 cbrt.f64 (pow.f64 (fma.f64 y (-.f64 (log.f64 z) z) y) 3))))) (#(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 exp.f64 (log.f64 (fma.f64 y (-.f64 (log.f64 z) z) y)))))) (#(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 fma.f64 y (-.f64 (log.f64 z) z) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (log.f64 z) z) y y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (*.f64 y (-.f64 (log.f64 z) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y (-.f64 (log.f64 z) z)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 (log.f64 z) z))) 2) (cbrt.f64 (*.f64 y (-.f64 (log.f64 z) z))) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 y (-.f64 (log.f64 z) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y (-.f64 (log.f64 z) z))) (sqrt.f64 (*.f64 y (-.f64 (log.f64 z) z))) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.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 (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) (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 z (+.f64 z (log.f64 z)))))))) (#(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))) (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 z (+.f64 z (log.f64 z)))))))) (#(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 log1p.f64 (expm1.f64 (*.f64 y (-.f64 (log.f64 z) z))))))) (#(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 expm1.f64 (log1p.f64 (*.f64 y (-.f64 (log.f64 z) z))))))))

simplify120.0ms (1.6%)

Algorithm
egg-herbie
Rules
896×unsub-neg_binary64
616×fma-neg_binary64
517×distribute-rgt-out_binary64
502×distribute-rgt-out--_binary64
388×distribute-neg-out_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
036397
1100397
2262370
3702328
41745328
54530328
65380328
75883328
86079328
96177328
106200328
117498328
127714328
137928328
147929328
157929328
Stop Event
node limit
Counts
93 → 71
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)))))))
(*.f64 y (log.f64 z))
(+.f64 (*.f64 y (log.f64 z)) (*.f64 -1 (*.f64 y z)))
(+.f64 (*.f64 y (log.f64 z)) (*.f64 -1 (*.f64 y z)))
(+.f64 (*.f64 y (log.f64 z)) (*.f64 -1 (*.f64 y z)))
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z)))) (*.f64 -1 (*.f64 y z)))
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z)))) (*.f64 -1 (*.f64 y z)))
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z)))) (*.f64 -1 (*.f64 y z)))
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))
(+.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))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) 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 1 (-.f64 (log.f64 z) 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 1 (-.f64 (log.f64 z) 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 1 (-.f64 (log.f64 z) 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 1 (-.f64 (log.f64 z) 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 1 (-.f64 (log.f64 z) 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 1 (-.f64 (log.f64 z) 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 1 (-.f64 (log.f64 z) z)))
(-.f64 y (*.f64 y (-.f64 z (log.f64 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 1 (-.f64 (log.f64 z) z)))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(-.f64 y (*.f64 y (-.f64 z (log.f64 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 1 (-.f64 (log.f64 z) z)))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(-.f64 y (*.f64 y (-.f64 z (log.f64 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 1 (-.f64 (log.f64 z) z)))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(-.f64 y (*.f64 y (-.f64 z (log.f64 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 1 (-.f64 (log.f64 z) z)))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(-.f64 y (*.f64 y (-.f64 z (log.f64 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 1 (-.f64 (log.f64 z) z)))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(-.f64 y (*.f64 y (-.f64 z (log.f64 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 1 (-.f64 (log.f64 z) z)))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(-.f64 y (*.f64 y (-.f64 z (log.f64 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 1 (-.f64 (log.f64 z) z)))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(-.f64 y (*.f64 y (-.f64 z (log.f64 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 z (neg.f64 y))
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z)))) (+.f64 y (*.f64 -1 (*.f64 y z))))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(-.f64 y (*.f64 y (-.f64 z (log.f64 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 1 (-.f64 (log.f64 z) z)))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(-.f64 y (*.f64 y (-.f64 z (log.f64 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 1 (-.f64 (log.f64 z) z)))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(-.f64 y (*.f64 y (-.f64 z (log.f64 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 z (neg.f64 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 1 (-.f64 (log.f64 z) z)))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(-.f64 y (*.f64 y (-.f64 z (log.f64 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 1 (-.f64 (log.f64 z) z)))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(-.f64 y (*.f64 y (-.f64 z (log.f64 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 1 (-.f64 (log.f64 z) z)))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(-.f64 y (*.f64 y (-.f64 z (log.f64 z))))
(fma.f64 y (-.f64 (log.f64 z) z) y)
(*.f64 y (log.f64 z))
(+.f64 (*.f64 y (log.f64 z)) (*.f64 -1 (*.f64 y z)))
(fma.f64 y (log.f64 z) (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 y (log.f64 z)) (*.f64 y z))
(*.f64 y (-.f64 (log.f64 z) z))
(+.f64 (*.f64 y (log.f64 z)) (*.f64 -1 (*.f64 y z)))
(fma.f64 y (log.f64 z) (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 y (log.f64 z)) (*.f64 y z))
(*.f64 y (-.f64 (log.f64 z) z))
(+.f64 (*.f64 y (log.f64 z)) (*.f64 -1 (*.f64 y z)))
(fma.f64 y (log.f64 z) (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 y (log.f64 z)) (*.f64 y z))
(*.f64 y (-.f64 (log.f64 z) z))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z)))) (*.f64 -1 (*.f64 y z)))
(fma.f64 y (log.f64 z) (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 y (log.f64 z)) (*.f64 y z))
(*.f64 y (-.f64 (log.f64 z) z))
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z)))) (*.f64 -1 (*.f64 y z)))
(fma.f64 y (log.f64 z) (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 y (log.f64 z)) (*.f64 y z))
(*.f64 y (-.f64 (log.f64 z) z))
(+.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z)))) (*.f64 -1 (*.f64 y z)))
(fma.f64 y (log.f64 z) (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 y (log.f64 z)) (*.f64 y z))
(*.f64 y (-.f64 (log.f64 z) z))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.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) (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 y (log.f64 z)) (*.f64 y z))
(*.f64 y (-.f64 (log.f64 z) z))
(+.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) (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 y (log.f64 z)) (*.f64 y z))
(*.f64 y (-.f64 (log.f64 z) z))
(+.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) (neg.f64 (*.f64 y z)))
(-.f64 (*.f64 y (log.f64 z)) (*.f64 y z))
(*.f64 y (-.f64 (log.f64 z) z))

localize13.0ms (0.2%)

Local error

Found 6 expressions with local error:

NewErrorProgram
0.3b
(*.f64 y (log.f64 z))
0.1b
(+.f64 (*.f64 y (log.f64 z)) (*.f64 y (-.f64 1 z)))
0.0b
(*.f64 y (-.f64 1 z))
0.0b
(*.f64 y (-.f64 1 z))
0.1b
(+.f64 (*.f64 y (log.f64 z)) (*.f64 y (-.f64 1 z)))
0.3b
(*.f64 y (log.f64 z))
Compiler

Compiled 30 to 15 computations (50% saved)

rewrite0.0ms (0%)

Counts
0 → 0

simplify7.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
saturated
Counts
0 → 0
Calls
Call 1
Inputs
Outputs

localize18.0ms (0.2%)

Local error

Found 6 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (*.f64 (+.f64 1 (log.f64 z)) (sqrt.f64 y)) (sqrt.f64 y))
0.2b
(*.f64 (+.f64 1 (log.f64 z)) (sqrt.f64 y))
0.0b
(+.f64 1 (log.f64 z))
0.0b
(+.f64 1 (log.f64 z))
0.2b
(*.f64 (+.f64 1 (log.f64 z)) (sqrt.f64 y))
0.2b
(*.f64 (*.f64 (+.f64 1 (log.f64 z)) (sqrt.f64 y)) (sqrt.f64 y))
Compiler

Compiled 50 to 25 computations (50% saved)

series5.0ms (0.1%)

Counts
2 → 32
Calls

12 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
(*.f64 (*.f64 (+.f64 1 (log.f64 z)) (sqrt.f64 y)) (sqrt.f64 y))
1.0ms
y
@-inf
(*.f64 (+.f64 1 (log.f64 z)) (sqrt.f64 y))
1.0ms
y
@0
(*.f64 (+.f64 1 (log.f64 z)) (sqrt.f64 y))
0.0ms
z
@0
(*.f64 (+.f64 1 (log.f64 z)) (sqrt.f64 y))
0.0ms
y
@inf
(*.f64 (+.f64 1 (log.f64 z)) (sqrt.f64 y))

rewrite125.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
853×pow1_binary64
788×add-log-exp_binary64
788×log1p-expm1-u_binary64
788×expm1-log1p-u_binary64
771×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0920
117920
2218920
Stop Event
node limit
Counts
2 → 37
Calls
Call 1
Inputs
(*.f64 (*.f64 (+.f64 1 (log.f64 z)) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (+.f64 1 (log.f64 z)) (sqrt.f64 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (+.f64 1 (log.f64 z)) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (log.f64 z) 3)) y) (+.f64 1 (-.f64 (pow.f64 (log.f64 z) 2) (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (log.f64 z) 2)) y) (-.f64 1 (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 1 (log.f64 z)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 1 (log.f64 z)) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 1 (log.f64 z)) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 1 (log.f64 z)) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 1 (log.f64 z)) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (*.f64 z (E.f64)) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 1 (log.f64 z)) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 z)) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3/2) (pow.f64 (*.f64 (+.f64 1 (log.f64 z)) (sqrt.f64 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (+.f64 1 (log.f64 z)) (sqrt.f64 y)) 3) (pow.f64 y 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 (*.f64 z (E.f64)) y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 (log.f64 z)) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 1 (log.f64 z)) y)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 y) (*.f64 (log.f64 z) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 z) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 y) (log.f64 z)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (+.f64 1 (log.f64 z)) (sqrt.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (log.f64 z) 3)) (sqrt.f64 y)) (+.f64 1 (-.f64 (pow.f64 (log.f64 z) 2) (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (log.f64 z) 2)) (sqrt.f64 y)) (-.f64 1 (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 y) (+.f64 1 (pow.f64 (log.f64 z) 3))) (+.f64 1 (-.f64 (pow.f64 (log.f64 z) 2) (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 y) (-.f64 1 (pow.f64 (log.f64 z) 2))) (-.f64 1 (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 1 (log.f64 z)) (sqrt.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 1 (log.f64 z)) (sqrt.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 1 (log.f64 z)) (sqrt.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 1 (log.f64 z)) (sqrt.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 y (pow.f64 (+.f64 1 (log.f64 z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (*.f64 z (E.f64)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 1 (log.f64 z)) (sqrt.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 z)) 3) (pow.f64 y 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3/2) (pow.f64 (+.f64 1 (log.f64 z)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 (*.f64 z (E.f64)) (sqrt.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 (log.f64 z)) (log.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 1 (log.f64 z)) (sqrt.f64 y))))))))

simplify42.0ms (0.6%)

Algorithm
egg-herbie
Rules
677×unsub-neg_binary64
482×distribute-rgt-in_binary64
415×fma-neg_binary64
409×distribute-lft-in_binary64
391×distribute-neg-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
029336
182304
2243256
3686256
42183256
56148256
Stop Event
node limit
Counts
69 → 45
Calls
Call 1
Inputs
(*.f64 (+.f64 1 (log.f64 z)) y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z)))))
(*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z)))))
(*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z)))))
(*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z)))))
(*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))
(*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))
(*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))
(*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))
(*.f64 (+.f64 1 (log.f64 z)) y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(*.f64 -1 (*.f64 (+.f64 1 (log.f64 z)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)))
(*.f64 -1 (*.f64 (+.f64 1 (log.f64 z)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)))
(*.f64 -1 (*.f64 (+.f64 1 (log.f64 z)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)))
(*.f64 -1 (*.f64 (+.f64 1 (log.f64 z)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)))
(*.f64 (sqrt.f64 y) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z)))))
(*.f64 (sqrt.f64 y) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z)))))
(*.f64 (sqrt.f64 y) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z)))))
(*.f64 (sqrt.f64 y) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z)))))
(*.f64 (sqrt.f64 y) (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))
(*.f64 (sqrt.f64 y) (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))
(*.f64 (sqrt.f64 y) (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))
(*.f64 (sqrt.f64 y) (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))
Outputs
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 y (*.f64 (log.f64 z) y))
(fma.f64 (log.f64 z) y y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 y (*.f64 (log.f64 z) y))
(fma.f64 (log.f64 z) y y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 y (*.f64 (log.f64 z) y))
(fma.f64 (log.f64 z) y y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 y (*.f64 (log.f64 z) y))
(fma.f64 (log.f64 z) y y)
(*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z)))))
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 y (*.f64 (log.f64 z) y))
(fma.f64 (log.f64 z) y y)
(*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z)))))
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 y (*.f64 (log.f64 z) y))
(fma.f64 (log.f64 z) y y)
(*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z)))))
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 y (*.f64 (log.f64 z) y))
(fma.f64 (log.f64 z) y y)
(*.f64 y (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z)))))
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 y (*.f64 (log.f64 z) y))
(fma.f64 (log.f64 z) y y)
(*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 y (*.f64 (log.f64 z) y))
(fma.f64 (log.f64 z) y y)
(*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 y (*.f64 (log.f64 z) y))
(fma.f64 (log.f64 z) y y)
(*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 y (*.f64 (log.f64 z) y))
(fma.f64 (log.f64 z) y y)
(*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 y (*.f64 (log.f64 z) y))
(fma.f64 (log.f64 z) y y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 y (*.f64 (log.f64 z) y))
(fma.f64 (log.f64 z) y y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 y (*.f64 (log.f64 z) y))
(fma.f64 (log.f64 z) y y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 y (*.f64 (log.f64 z) y))
(fma.f64 (log.f64 z) y y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 y (*.f64 (log.f64 z) y))
(fma.f64 (log.f64 z) y y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 y (*.f64 (log.f64 z) y))
(fma.f64 (log.f64 z) y y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 y (*.f64 (log.f64 z) y))
(fma.f64 (log.f64 z) y y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 y (*.f64 (log.f64 z) y))
(fma.f64 (log.f64 z) y y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 y (*.f64 (log.f64 z) y))
(fma.f64 (log.f64 z) y y)
(*.f64 -1 (*.f64 (+.f64 1 (log.f64 z)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)))
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 y (*.f64 (log.f64 z) y))
(fma.f64 (log.f64 z) y y)
(*.f64 -1 (*.f64 (+.f64 1 (log.f64 z)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)))
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 y (*.f64 (log.f64 z) y))
(fma.f64 (log.f64 z) y y)
(*.f64 -1 (*.f64 (+.f64 1 (log.f64 z)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)))
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 y (*.f64 (log.f64 z) y))
(fma.f64 (log.f64 z) y y)
(*.f64 -1 (*.f64 (+.f64 1 (log.f64 z)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) y)))
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 y (*.f64 (log.f64 z) y))
(fma.f64 (log.f64 z) y y)
(*.f64 (sqrt.f64 y) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z)))))
(*.f64 (+.f64 1 (neg.f64 (neg.f64 (log.f64 z)))) (sqrt.f64 y))
(*.f64 (+.f64 1 (log.f64 z)) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z)))))
(*.f64 (+.f64 1 (neg.f64 (neg.f64 (log.f64 z)))) (sqrt.f64 y))
(*.f64 (+.f64 1 (log.f64 z)) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z)))))
(*.f64 (+.f64 1 (neg.f64 (neg.f64 (log.f64 z)))) (sqrt.f64 y))
(*.f64 (+.f64 1 (log.f64 z)) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (+.f64 1 (*.f64 -1 (log.f64 (/.f64 1 z)))))
(*.f64 (+.f64 1 (neg.f64 (neg.f64 (log.f64 z)))) (sqrt.f64 y))
(*.f64 (+.f64 1 (log.f64 z)) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))
(*.f64 (+.f64 1 (neg.f64 (neg.f64 (log.f64 z)))) (sqrt.f64 y))
(*.f64 (+.f64 1 (log.f64 z)) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))
(*.f64 (+.f64 1 (neg.f64 (neg.f64 (log.f64 z)))) (sqrt.f64 y))
(*.f64 (+.f64 1 (log.f64 z)) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))
(*.f64 (+.f64 1 (neg.f64 (neg.f64 (log.f64 z)))) (sqrt.f64 y))
(*.f64 (+.f64 1 (log.f64 z)) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))
(*.f64 (+.f64 1 (neg.f64 (neg.f64 (log.f64 z)))) (sqrt.f64 y))
(*.f64 (+.f64 1 (log.f64 z)) (sqrt.f64 y))

eval382.0ms (5.2%)

Compiler

Compiled 13324 to 7492 computations (43.8% saved)

prune205.0ms (2.8%)

Pruning

18 alts after pruning (12 fresh and 6 done)

PrunedKeptTotal
New69910709
Fresh527
Picked101
Done4610
Total70918727
Error
0b
Counts
727 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
46.8b
(+.f64 y (pow.f64 (sqrt.f64 (*.f64 y (-.f64 (log.f64 z) z))) 2))
30.5b
(+.f64 (*.f64 y (log.f64 z)) (*.f64 y (-.f64 1 z)))
32.7b
(*.f64 1/2 x)
19.4b
(+.f64 (*.f64 x 1/2) (*.f64 (+.f64 1 (log.f64 z)) y))
30.4b
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
49.2b
(*.f64 (+.f64 1 (log.f64 z)) y)
31.1b
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))) 3)
14.6b
(-.f64 (*.f64 x 1/2) (*.f64 z y))
31.0b
(+.f64 y (*.f64 y (pow.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) 3)))
41.3b
(+.f64 y (/.f64 (*.f64 y (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 z z))) (+.f64 z (log.f64 z))))
14.5b
(fma.f64 (neg.f64 z) y (*.f64 x 1/2))
45.5b
(+.f64 y (*.f64 y (neg.f64 z)))
49.2b
(+.f64 (*.f64 y (log.f64 z)) y)
44.7b
(*.f64 y (neg.f64 z))
31.1b
(+.f64 y (pow.f64 (cbrt.f64 (*.f64 y (-.f64 (log.f64 z) z))) 3))
47.6b
(+.f64 (*.f64 y (log.f64 z)) (exp.f64 (log.f64 (*.f64 y (-.f64 1 z)))))
32.4b
(/.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 2)) (-.f64 (*.f64 x 1/2) (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))))
0.1b
(+.f64 (*.f64 x 1/2) (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
Compiler

Compiled 235 to 167 computations (28.9% saved)

regimes78.0ms (1.1%)

Counts
18 → 1
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 y (neg.f64 z))
(+.f64 y (*.f64 y (neg.f64 z)))
(-.f64 (*.f64 x 1/2) (*.f64 z y))
(+.f64 (*.f64 y (log.f64 z)) y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(fma.f64 (neg.f64 z) y (*.f64 x 1/2))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(+.f64 (*.f64 x 1/2) (*.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (*.f64 y (log.f64 z)) (*.f64 y (-.f64 1 z)))
(+.f64 (*.f64 x 1/2) (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
(+.f64 y (pow.f64 (cbrt.f64 (*.f64 y (-.f64 (log.f64 z) z))) 3))
(+.f64 y (*.f64 y (pow.f64 (cbrt.f64 (-.f64 (log.f64 z) z)) 3)))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))) 3)
(+.f64 y (pow.f64 (sqrt.f64 (*.f64 y (-.f64 (log.f64 z) z))) 2))
(+.f64 (*.f64 y (log.f64 z)) (exp.f64 (log.f64 (*.f64 y (-.f64 1 z)))))
(+.f64 y (/.f64 (*.f64 y (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 z z))) (+.f64 z (log.f64 z))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 2)) (-.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))))
Calls

7 calls:

20.0ms
y
9.0ms
(+.f64 (-.f64 1 z) (log.f64 z))
9.0ms
(+.f64 (*.f64 x 1/2) (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
9.0ms
(*.f64 x 1/2)
8.0ms
(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
Results
ErrorSegmentsBranch
0.1b1x
0.1b1y
0.1b1z
0.1b1(+.f64 (*.f64 x 1/2) (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
0.1b1(*.f64 x 1/2)
0.1b1(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
0.1b1(+.f64 (-.f64 1 z) (log.f64 z))
Compiler

Compiled 237 to 136 computations (42.6% saved)

regimes133.0ms (1.8%)

Counts
10 → 2
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 y (neg.f64 z))
(+.f64 y (*.f64 y (neg.f64 z)))
(-.f64 (*.f64 x 1/2) (*.f64 z y))
(+.f64 (*.f64 y (log.f64 z)) y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(fma.f64 (neg.f64 z) y (*.f64 x 1/2))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(+.f64 (*.f64 x 1/2) (*.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (*.f64 y (log.f64 z)) (*.f64 y (-.f64 1 z)))
Outputs
(+.f64 (*.f64 x 1/2) (*.f64 (+.f64 1 (log.f64 z)) y))
(fma.f64 (neg.f64 z) y (*.f64 x 1/2))
Calls

4 calls:

75.0ms
z
24.0ms
(*.f64 x 1/2)
16.0ms
x
15.0ms
y
Results
ErrorSegmentsBranch
7.4b3x
5.9b3y
1.5b2z
7.4b3(*.f64 x 1/2)
Compiler

Compiled 88 to 49 computations (44.3% saved)

bsearch25.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
25.0ms
0.006783654364408818
0.46189992205940944
Compiler

Compiled 21 to 16 computations (23.8% saved)

regimes181.0ms (2.5%)

Counts
8 → 3
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 y (neg.f64 z))
(+.f64 y (*.f64 y (neg.f64 z)))
(-.f64 (*.f64 x 1/2) (*.f64 z y))
(+.f64 (*.f64 y (log.f64 z)) y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(fma.f64 (neg.f64 z) y (*.f64 x 1/2))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
Outputs
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(fma.f64 (neg.f64 z) y (*.f64 x 1/2))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
Calls

4 calls:

128.0ms
z
22.0ms
x
15.0ms
y
13.0ms
(*.f64 x 1/2)
Results
ErrorSegmentsBranch
7.4b3x
5.9b3y
11.1b5z
7.4b3(*.f64 x 1/2)
Compiler

Compiled 68 to 39 computations (42.6% saved)

bsearch44.0ms (0.6%)

Algorithm
binary-search
Steps
TimeLeftRight
17.0ms
2.0196525884911972e+86
1.0015785717273745e+96
27.0ms
-4.0907415127532943e+83
-1.2711517268798815e+73
Compiler

Compiled 67 to 50 computations (25.4% saved)

regimes191.0ms (2.6%)

Counts
7 → 3
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 y (neg.f64 z))
(+.f64 y (*.f64 y (neg.f64 z)))
(-.f64 (*.f64 x 1/2) (*.f64 z y))
(+.f64 (*.f64 y (log.f64 z)) y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(fma.f64 (neg.f64 z) y (*.f64 x 1/2))
Outputs
(*.f64 (+.f64 1 (log.f64 z)) y)
(fma.f64 (neg.f64 z) y (*.f64 x 1/2))
(*.f64 (+.f64 1 (log.f64 z)) y)
Calls

4 calls:

102.0ms
(*.f64 x 1/2)
45.0ms
x
29.0ms
z
12.0ms
y
Results
ErrorSegmentsBranch
12.9b3x
10.5b3y
11.1b5z
12.9b3(*.f64 x 1/2)
Compiler

Compiled 60 to 35 computations (41.7% saved)

bsearch95.0ms (1.3%)

Algorithm
binary-search
Steps
TimeLeftRight
55.0ms
3.7950086356838176e+142
2.5983836865073495e+143
39.0ms
-2.4210163250148867e+235
-4.786524100399737e+233
Compiler

Compiled 294 to 224 computations (23.8% saved)

regimes111.0ms (1.5%)

Counts
6 → 3
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 y (neg.f64 z))
(+.f64 y (*.f64 y (neg.f64 z)))
(-.f64 (*.f64 x 1/2) (*.f64 z y))
(+.f64 (*.f64 y (log.f64 z)) y)
(*.f64 (+.f64 1 (log.f64 z)) y)
Outputs
(*.f64 (+.f64 1 (log.f64 z)) y)
(-.f64 (*.f64 x 1/2) (*.f64 z y))
(*.f64 (+.f64 1 (log.f64 z)) y)
Calls

4 calls:

59.0ms
x
22.0ms
z
14.0ms
y
14.0ms
(*.f64 x 1/2)
Results
ErrorSegmentsBranch
12.9b3x
10.6b3y
11.1b5z
12.9b3(*.f64 x 1/2)
Compiler

Compiled 53 to 32 computations (39.6% saved)

bsearch171.0ms (2.4%)

Algorithm
binary-search
Steps
TimeLeftRight
60.0ms
3.7950086356838176e+142
2.5983836865073495e+143
111.0ms
-2.4210163250148867e+235
-4.786524100399737e+233
Compiler

Compiled 294 to 224 computations (23.8% saved)

regimes95.0ms (1.3%)

Counts
5 → 3
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 y (neg.f64 z))
(+.f64 y (*.f64 y (neg.f64 z)))
(-.f64 (*.f64 x 1/2) (*.f64 z y))
(+.f64 (*.f64 y (log.f64 z)) y)
Outputs
(+.f64 (*.f64 y (log.f64 z)) y)
(-.f64 (*.f64 x 1/2) (*.f64 z y))
(+.f64 (*.f64 y (log.f64 z)) y)
Calls

4 calls:

53.0ms
z
15.0ms
y
13.0ms
(*.f64 x 1/2)
12.0ms
x
Results
ErrorSegmentsBranch
12.9b3x
10.6b3y
11.1b5z
12.9b3(*.f64 x 1/2)
Compiler

Compiled 47 to 29 computations (38.3% saved)

bsearch110.0ms (1.5%)

Algorithm
binary-search
Steps
TimeLeftRight
57.0ms
3.7950086356838176e+142
2.5983836865073495e+143
52.0ms
-2.4210163250148867e+235
-4.786524100399737e+233
Compiler

Compiled 294 to 211 computations (28.2% saved)

regimes25.0ms (0.3%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 y (neg.f64 z))
(+.f64 y (*.f64 y (neg.f64 z)))
(-.f64 (*.f64 x 1/2) (*.f64 z y))
Outputs
(-.f64 (*.f64 x 1/2) (*.f64 z y))
Calls

4 calls:

13.0ms
y
4.0ms
(*.f64 x 1/2)
4.0ms
x
4.0ms
z
Results
ErrorSegmentsBranch
14.6b1x
14.6b1y
14.6b1z
14.6b1(*.f64 x 1/2)
Compiler

Compiled 41 to 26 computations (36.6% saved)

regimes81.0ms (1.1%)

Accuracy

Total -39.6b remaining (-171.9%)

Threshold costs -39.6b (-171.9%)

Counts
3 → 5
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 y (neg.f64 z))
(+.f64 y (*.f64 y (neg.f64 z)))
Outputs
(*.f64 1/2 x)
(*.f64 y (neg.f64 z))
(*.f64 1/2 x)
(*.f64 y (neg.f64 z))
(*.f64 1/2 x)
Calls

3 calls:

47.0ms
y
17.0ms
z
16.0ms
x
Results
ErrorSegmentsBranch
23.0b5x
25.2b8y
24.1b4z
Compiler

Compiled 28 to 17 computations (39.3% saved)

bsearch131.0ms (1.8%)

Algorithm
binary-search
Steps
TimeLeftRight
26.0ms
7.264271112857022e+71
9.97902585004713e+71
46.0ms
2.888912824369937e-7
0.014566157855061648
27.0ms
1.2220893004562692e-57
2.019541031558679e-51
31.0ms
-1.3670290754380618e-55
-1.032352067461658e-55
Compiler

Compiled 21 to 16 computations (23.8% saved)

simplify11.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
057277
183277
294277
399277
4102277
5103277
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 x 1/2) (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
(if (<=.f64 z 7821020996547019/1152921504606846976) (+.f64 (*.f64 x 1/2) (*.f64 (+.f64 1 (log.f64 z)) y)) (fma.f64 (neg.f64 z) y (*.f64 x 1/2)))
(if (<=.f64 y -100000000000000000026609864708367276537402401181200809098131977453489758916313088) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)) (if (<=.f64 y 999999999999999966484112715463900049825186092620125502979674597309179755437379230686511104) (fma.f64 (neg.f64 z) y (*.f64 x 1/2)) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))))
(if (<=.f64 y -480000000000000005045588237442054684208587833628212837423818842454169739115359949786029935866077511315648713511583102471212096504067600194518220105214645015789050287541683457022316369570924120947719736037298531228898516445826893479936) (*.f64 (+.f64 1 (log.f64 z)) y) (if (<=.f64 y 37999999999999998952793050950044055440456528031884194145246850945847992905853326637935142821380648976933142535112783561151954493218936657543168) (fma.f64 (neg.f64 z) y (*.f64 x 1/2)) (*.f64 (+.f64 1 (log.f64 z)) y)))
(if (<=.f64 y -480000000000000005045588237442054684208587833628212837423818842454169739115359949786029935866077511315648713511583102471212096504067600194518220105214645015789050287541683457022316369570924120947719736037298531228898516445826893479936) (*.f64 (+.f64 1 (log.f64 z)) y) (if (<=.f64 y 37999999999999998952793050950044055440456528031884194145246850945847992905853326637935142821380648976933142535112783561151954493218936657543168) (-.f64 (*.f64 x 1/2) (*.f64 z y)) (*.f64 (+.f64 1 (log.f64 z)) y)))
(if (<=.f64 y -480000000000000005045588237442054684208587833628212837423818842454169739115359949786029935866077511315648713511583102471212096504067600194518220105214645015789050287541683457022316369570924120947719736037298531228898516445826893479936) (+.f64 (*.f64 y (log.f64 z)) y) (if (<=.f64 y 37999999999999998952793050950044055440456528031884194145246850945847992905853326637935142821380648976933142535112783561151954493218936657543168) (-.f64 (*.f64 x 1/2) (*.f64 z y)) (+.f64 (*.f64 y (log.f64 z)) y)))
(-.f64 (*.f64 x 1/2) (*.f64 z y))
(if (<=.f64 x -1886977585472225/13803492693581127574869511724554050904902217944340773110325048447598592) (*.f64 1/2 x) (if (<=.f64 x 8636979573632913/7067388259113537318333190002971674063309935587502475832486424805170479104) (*.f64 y (neg.f64 z)) (if (<=.f64 x 5457002037494749/18889465931478580854784) (*.f64 1/2 x) (if (<=.f64 x 726427111285702217412550053326193662006700612067276540638771485561847808) (*.f64 y (neg.f64 z)) (*.f64 1/2 x)))))
(*.f64 1/2 x)
Outputs
(+.f64 (*.f64 x 1/2) (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
(if (<=.f64 z 7821020996547019/1152921504606846976) (+.f64 (*.f64 x 1/2) (*.f64 (+.f64 1 (log.f64 z)) y)) (fma.f64 (neg.f64 z) y (*.f64 x 1/2)))
(if (<=.f64 z 7821020996547019/1152921504606846976) (+.f64 (*.f64 x 1/2) (*.f64 y (+.f64 1 (log.f64 z)))) (fma.f64 (neg.f64 z) y (*.f64 x 1/2)))
(if (<=.f64 y -100000000000000000026609864708367276537402401181200809098131977453489758916313088) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)) (if (<=.f64 y 999999999999999966484112715463900049825186092620125502979674597309179755437379230686511104) (fma.f64 (neg.f64 z) y (*.f64 x 1/2)) (*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))))
(if (<=.f64 y -480000000000000005045588237442054684208587833628212837423818842454169739115359949786029935866077511315648713511583102471212096504067600194518220105214645015789050287541683457022316369570924120947719736037298531228898516445826893479936) (*.f64 (+.f64 1 (log.f64 z)) y) (if (<=.f64 y 37999999999999998952793050950044055440456528031884194145246850945847992905853326637935142821380648976933142535112783561151954493218936657543168) (fma.f64 (neg.f64 z) y (*.f64 x 1/2)) (*.f64 (+.f64 1 (log.f64 z)) y)))
(if (<=.f64 y -480000000000000005045588237442054684208587833628212837423818842454169739115359949786029935866077511315648713511583102471212096504067600194518220105214645015789050287541683457022316369570924120947719736037298531228898516445826893479936) (*.f64 y (+.f64 1 (log.f64 z))) (if (<=.f64 y 37999999999999998952793050950044055440456528031884194145246850945847992905853326637935142821380648976933142535112783561151954493218936657543168) (fma.f64 (neg.f64 z) y (*.f64 x 1/2)) (*.f64 y (+.f64 1 (log.f64 z)))))
(if (<=.f64 y -480000000000000005045588237442054684208587833628212837423818842454169739115359949786029935866077511315648713511583102471212096504067600194518220105214645015789050287541683457022316369570924120947719736037298531228898516445826893479936) (*.f64 (+.f64 1 (log.f64 z)) y) (if (<=.f64 y 37999999999999998952793050950044055440456528031884194145246850945847992905853326637935142821380648976933142535112783561151954493218936657543168) (-.f64 (*.f64 x 1/2) (*.f64 z y)) (*.f64 (+.f64 1 (log.f64 z)) y)))
(if (<=.f64 y -480000000000000005045588237442054684208587833628212837423818842454169739115359949786029935866077511315648713511583102471212096504067600194518220105214645015789050287541683457022316369570924120947719736037298531228898516445826893479936) (*.f64 y (+.f64 1 (log.f64 z))) (if (<=.f64 y 37999999999999998952793050950044055440456528031884194145246850945847992905853326637935142821380648976933142535112783561151954493218936657543168) (-.f64 (*.f64 x 1/2) (*.f64 y z)) (*.f64 y (+.f64 1 (log.f64 z)))))
(if (<=.f64 y -480000000000000005045588237442054684208587833628212837423818842454169739115359949786029935866077511315648713511583102471212096504067600194518220105214645015789050287541683457022316369570924120947719736037298531228898516445826893479936) (+.f64 (*.f64 y (log.f64 z)) y) (if (<=.f64 y 37999999999999998952793050950044055440456528031884194145246850945847992905853326637935142821380648976933142535112783561151954493218936657543168) (-.f64 (*.f64 x 1/2) (*.f64 z y)) (+.f64 (*.f64 y (log.f64 z)) y)))
(if (<=.f64 y -480000000000000005045588237442054684208587833628212837423818842454169739115359949786029935866077511315648713511583102471212096504067600194518220105214645015789050287541683457022316369570924120947719736037298531228898516445826893479936) (+.f64 y (*.f64 y (log.f64 z))) (if (<=.f64 y 37999999999999998952793050950044055440456528031884194145246850945847992905853326637935142821380648976933142535112783561151954493218936657543168) (-.f64 (*.f64 x 1/2) (*.f64 y z)) (+.f64 y (*.f64 y (log.f64 z)))))
(-.f64 (*.f64 x 1/2) (*.f64 z y))
(-.f64 (*.f64 x 1/2) (*.f64 y z))
(if (<=.f64 x -1886977585472225/13803492693581127574869511724554050904902217944340773110325048447598592) (*.f64 1/2 x) (if (<=.f64 x 8636979573632913/7067388259113537318333190002971674063309935587502475832486424805170479104) (*.f64 y (neg.f64 z)) (if (<=.f64 x 5457002037494749/18889465931478580854784) (*.f64 1/2 x) (if (<=.f64 x 726427111285702217412550053326193662006700612067276540638771485561847808) (*.f64 y (neg.f64 z)) (*.f64 1/2 x)))))
(if (<=.f64 x -1886977585472225/13803492693581127574869511724554050904902217944340773110325048447598592) (*.f64 x 1/2) (if (<=.f64 x 8636979573632913/7067388259113537318333190002971674063309935587502475832486424805170479104) (neg.f64 (*.f64 y z)) (if (<=.f64 x 5457002037494749/18889465931478580854784) (*.f64 x 1/2) (if (<=.f64 x 726427111285702217412550053326193662006700612067276540638771485561847808) (neg.f64 (*.f64 y z)) (*.f64 x 1/2)))))
(if (<=.f64 x -1886977585472225/13803492693581127574869511724554050904902217944340773110325048447598592) (*.f64 x 1/2) (if (<=.f64 x 8636979573632913/7067388259113537318333190002971674063309935587502475832486424805170479104) (*.f64 z (neg.f64 y)) (if (<=.f64 x 5457002037494749/18889465931478580854784) (*.f64 x 1/2) (if (<=.f64 x 726427111285702217412550053326193662006700612067276540638771485561847808) (*.f64 z (neg.f64 y)) (*.f64 x 1/2)))))
(*.f64 1/2 x)
(*.f64 x 1/2)

end108.0ms (1.5%)

Stop Event
fuel
Compiler

Compiled 406 to 249 computations (38.7% saved)

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