Details

Time bar (total: 13.7s)

analyze333.0ms (2.4%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%74.9%25.1%6
6.2%68.6%25.1%7
9.4%65.5%25.1%8
14%35.9%50.1%9
21.1%28.9%50.1%10
24.6%25.4%50.1%11
28.7%21.3%50.1%12
Compiler

Compiled 16 to 11 computations (31.3% saved)

sample1.4s (10.2%)

Results
1.4s8256×body256valid
5.0ms29×body256invalid

preprocess108.0ms (0.8%)

Algorithm
egg-herbie
Rules
777×sub-neg_binary64
518×neg-sub0_binary64
375×+-commutative_binary64
365×fma-def_binary64
351×distribute-neg-out_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02672
17572
224264
3106964
4318664
5493664
6645464
7748764
8774864
9796064
033
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
(-.f64 (+.f64 (-.f64 y (*.f64 (+.f64 x 1/2) (log.f64 x))) x) z)
(-.f64 (+.f64 (-.f64 z (*.f64 (+.f64 y 1/2) (log.f64 y))) y) x)
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 z 1/2) (log.f64 z))) z) y)
Outputs
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) (-.f64 y z))
(+.f64 (-.f64 x z) (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(+.f64 x (-.f64 y (fma.f64 (-.f64 y -1/2) (log.f64 y) z)))
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x) (-.f64 y z))
(-.f64 (+.f64 (-.f64 y (*.f64 (+.f64 x 1/2) (log.f64 x))) x) z)
(+.f64 (-.f64 y (*.f64 (+.f64 x 1/2) (log.f64 x))) (-.f64 x z))
(+.f64 x (-.f64 (-.f64 y (*.f64 (+.f64 x 1/2) (log.f64 x))) z))
(+.f64 x (-.f64 (fma.f64 (log.f64 x) (-.f64 -1/2 x) y) z))
(+.f64 x (fma.f64 (log.f64 x) (-.f64 -1/2 x) (-.f64 y z)))
(-.f64 (+.f64 (-.f64 z (*.f64 (+.f64 y 1/2) (log.f64 y))) y) x)
(+.f64 (-.f64 z (*.f64 (+.f64 y 1/2) (log.f64 y))) (-.f64 y x))
(+.f64 y (-.f64 (-.f64 z (*.f64 (+.f64 y 1/2) (log.f64 y))) x))
(+.f64 y (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) z) x))
(-.f64 z (fma.f64 (-.f64 y -1/2) (log.f64 y) (-.f64 x y)))
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 z 1/2) (log.f64 z))) z) y)
(+.f64 (-.f64 x (*.f64 (+.f64 1/2 z) (log.f64 z))) (-.f64 z y))
(+.f64 x (fma.f64 (log.f64 z) (-.f64 -1/2 z) (-.f64 z y)))
Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify132.0ms (1%)

Algorithm
egg-herbie
Rules
782×fma-neg_binary64
608×unsub-neg_binary64
579×distribute-rgt-in_binary64
435×sub-neg_binary64
406×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01118
12518
27716
331316
498316
5289716
6451516
7500916
8517416
9520116
10521816
11552816
12639616
13799416
Stop Event
node limit
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
Outputs
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
(-.f64 (-.f64 x (-.f64 (*.f64 (+.f64 y 1/2) (log.f64 y)) y)) z)
(+.f64 y (-.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) z))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 y z)))
(+.f64 x (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z)))
(+.f64 x (-.f64 y (fma.f64 (-.f64 y -1/2) (log.f64 y) z)))

eval1.0ms (0%)

Compiler

Compiled 26 to 15 computations (42.3% 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 x (-.f64 y (fma.f64 (-.f64 y -1/2) (log.f64 y) z)))
0.1b
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
Compiler

Compiled 29 to 19 computations (34.5% saved)

localize18.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 39 to 19 computations (51.3% saved)

series18.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
5.0ms
y
@-inf
(-.f64 y (fma.f64 (-.f64 y -1/2) (log.f64 y) z))
5.0ms
y
@0
(-.f64 y (fma.f64 (-.f64 y -1/2) (log.f64 y) z))
3.0ms
z
@0
(-.f64 y (fma.f64 (-.f64 y -1/2) (log.f64 y) z))
2.0ms
y
@inf
(-.f64 y (fma.f64 (-.f64 y -1/2) (log.f64 y) z))
0.0ms
z
@-inf
(-.f64 y (fma.f64 (-.f64 y -1/2) (log.f64 y) z))

rewrite83.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
497×prod-diff_binary64
493×unpow-prod-down_binary64
398×log-prod_binary64
272×pow-prod-down_binary64
260×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0823
118023
2242923
Stop Event
node limit
Counts
2 → 142
Calls
Call 1
Inputs
(-.f64 y (fma.f64 (-.f64 y -1/2) (log.f64 y) z))
(fma.f64 (-.f64 y -1/2) (log.f64 y) z)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 z (*.f64 (+.f64 y 1/2) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 y 1/2) (log.f64 y)) z)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (+.f64 y 1/2) (log.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (+.f64 y 1/2) (log.f64 y)) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (+.f64 y 1/2) (log.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z)) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z)) 2) (cbrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z)) (sqrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (fma.f64 (+.f64 y 1/2) (log.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z))) 2) 3) (cbrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z) (cbrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y 1/2) (log.f64 y)) 3) (pow.f64 z 3)) (+.f64 (pow.f64 (*.f64 (+.f64 y 1/2) (log.f64 y)) 2) (-.f64 (*.f64 z z) (*.f64 (*.f64 (+.f64 y 1/2) (log.f64 y)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (+.f64 y 1/2) (log.f64 y)) 2) (*.f64 z z)) (-.f64 (*.f64 (+.f64 y 1/2) (log.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 z) (exp.f64 (*.f64 (+.f64 y 1/2) (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 z)) (exp.f64 (*.f64 (+.f64 y 1/2) (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (+.f64 y 1/2) (log.f64 y))) (+.f64 1 (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z))) 1/3))))))

simplify94.0ms (0.7%)

Algorithm
egg-herbie
Rules
845×fma-neg_binary64
753×fma-def_binary64
419×sub-neg_binary64
374×distribute-rgt-in_binary64
344×associate--l-_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
052649
1169579
2442487
31256487
43636487
56640487
67962487
Stop Event
node limit
Counts
190 → 169
Calls
Call 1
Inputs
(*.f64 -1 (+.f64 (*.f64 1/2 (log.f64 y)) z))
(+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) (*.f64 -1 (+.f64 (*.f64 1/2 (log.f64 y)) z)))
(+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) (*.f64 -1 (+.f64 (*.f64 1/2 (log.f64 y)) z)))
(+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) (*.f64 -1 (+.f64 (*.f64 1/2 (log.f64 y)) z)))
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 -1 (+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) z)))
(+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 -1 (+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) z)))
(+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 -1 (+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) z)))
(*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))))
(+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) z)) (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))))
(+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) z)) (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))))
(+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) z)) (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))))
(-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 (*.f64 -1 z) y) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 (*.f64 -1 z) y) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 (*.f64 -1 z) y) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(*.f64 -1 z)
(-.f64 (+.f64 (*.f64 -1 z) y) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 (*.f64 -1 z) y) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 (*.f64 -1 z) y) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(*.f64 -1 z)
(-.f64 (+.f64 (*.f64 -1 z) y) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 (*.f64 -1 z) y) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 (*.f64 -1 z) y) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(+.f64 (*.f64 1/2 (log.f64 y)) z)
(+.f64 (*.f64 1/2 (log.f64 y)) (+.f64 (*.f64 y (log.f64 y)) z))
(+.f64 (*.f64 1/2 (log.f64 y)) (+.f64 (*.f64 y (log.f64 y)) z))
(+.f64 (*.f64 1/2 (log.f64 y)) (+.f64 (*.f64 y (log.f64 y)) z))
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (+.f64 z (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))))
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (+.f64 z (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))))
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (+.f64 z (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) z))
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) z))
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) z))
(*.f64 (+.f64 1/2 y) (log.f64 y))
(+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z)
(+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z)
(+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z)
z
(+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z)
(+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z)
(+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z)
z
(+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z)
(+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z)
(+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z)
Outputs
(*.f64 -1 (+.f64 (*.f64 1/2 (log.f64 y)) z))
(neg.f64 (fma.f64 1/2 (log.f64 y) z))
(-.f64 (*.f64 (log.f64 y) -1/2) z)
(fma.f64 (log.f64 y) -1/2 (neg.f64 z))
(+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) (*.f64 -1 (+.f64 (*.f64 1/2 (log.f64 y)) z)))
(fma.f64 (-.f64 1 (log.f64 y)) y (neg.f64 (fma.f64 1/2 (log.f64 y) z)))
(-.f64 (*.f64 y (-.f64 1 (log.f64 y))) (fma.f64 1/2 (log.f64 y) z))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 y z))
(-.f64 y (fma.f64 (log.f64 y) (+.f64 1/2 y) z))
(+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) (*.f64 -1 (+.f64 (*.f64 1/2 (log.f64 y)) z)))
(fma.f64 (-.f64 1 (log.f64 y)) y (neg.f64 (fma.f64 1/2 (log.f64 y) z)))
(-.f64 (*.f64 y (-.f64 1 (log.f64 y))) (fma.f64 1/2 (log.f64 y) z))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 y z))
(-.f64 y (fma.f64 (log.f64 y) (+.f64 1/2 y) z))
(+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) (*.f64 -1 (+.f64 (*.f64 1/2 (log.f64 y)) z)))
(fma.f64 (-.f64 1 (log.f64 y)) y (neg.f64 (fma.f64 1/2 (log.f64 y) z)))
(-.f64 (*.f64 y (-.f64 1 (log.f64 y))) (fma.f64 1/2 (log.f64 y) z))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 y z))
(-.f64 y (fma.f64 (log.f64 y) (+.f64 1/2 y) z))
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(*.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y)))))
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 -1 (+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) z)))
(fma.f64 (-.f64 1 (log.f64 y)) y (neg.f64 (fma.f64 1/2 (log.f64 y) z)))
(-.f64 (*.f64 y (-.f64 1 (log.f64 y))) (fma.f64 1/2 (log.f64 y) z))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 y z))
(-.f64 y (fma.f64 (log.f64 y) (+.f64 1/2 y) z))
(+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 -1 (+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) z)))
(fma.f64 (-.f64 1 (log.f64 y)) y (neg.f64 (fma.f64 1/2 (log.f64 y) z)))
(-.f64 (*.f64 y (-.f64 1 (log.f64 y))) (fma.f64 1/2 (log.f64 y) z))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 y z))
(-.f64 y (fma.f64 (log.f64 y) (+.f64 1/2 y) z))
(+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 -1 (+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) z)))
(fma.f64 (-.f64 1 (log.f64 y)) y (neg.f64 (fma.f64 1/2 (log.f64 y) z)))
(-.f64 (*.f64 y (-.f64 1 (log.f64 y))) (fma.f64 1/2 (log.f64 y) z))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 y z))
(-.f64 y (fma.f64 (log.f64 y) (+.f64 1/2 y) z))
(*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))))
(*.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y)))))
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) z)) (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))))
(fma.f64 (-.f64 1 (log.f64 y)) y (neg.f64 (fma.f64 1/2 (log.f64 y) z)))
(-.f64 (*.f64 y (-.f64 1 (log.f64 y))) (fma.f64 1/2 (log.f64 y) z))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 y z))
(-.f64 y (fma.f64 (log.f64 y) (+.f64 1/2 y) z))
(+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) z)) (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))))
(fma.f64 (-.f64 1 (log.f64 y)) y (neg.f64 (fma.f64 1/2 (log.f64 y) z)))
(-.f64 (*.f64 y (-.f64 1 (log.f64 y))) (fma.f64 1/2 (log.f64 y) z))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 y z))
(-.f64 y (fma.f64 (log.f64 y) (+.f64 1/2 y) z))
(+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) z)) (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))))
(fma.f64 (-.f64 1 (log.f64 y)) y (neg.f64 (fma.f64 1/2 (log.f64 y) z)))
(-.f64 (*.f64 y (-.f64 1 (log.f64 y))) (fma.f64 1/2 (log.f64 y) z))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 y z))
(-.f64 y (fma.f64 (log.f64 y) (+.f64 1/2 y) z))
(-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 y (*.f64 (log.f64 y) (+.f64 1/2 y)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)
(-.f64 (+.f64 (*.f64 -1 z) y) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(fma.f64 (-.f64 1 (log.f64 y)) y (neg.f64 (fma.f64 1/2 (log.f64 y) z)))
(-.f64 (*.f64 y (-.f64 1 (log.f64 y))) (fma.f64 1/2 (log.f64 y) z))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 y z))
(-.f64 y (fma.f64 (log.f64 y) (+.f64 1/2 y) z))
(-.f64 (+.f64 (*.f64 -1 z) y) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(fma.f64 (-.f64 1 (log.f64 y)) y (neg.f64 (fma.f64 1/2 (log.f64 y) z)))
(-.f64 (*.f64 y (-.f64 1 (log.f64 y))) (fma.f64 1/2 (log.f64 y) z))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 y z))
(-.f64 y (fma.f64 (log.f64 y) (+.f64 1/2 y) z))
(-.f64 (+.f64 (*.f64 -1 z) y) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(fma.f64 (-.f64 1 (log.f64 y)) y (neg.f64 (fma.f64 1/2 (log.f64 y) z)))
(-.f64 (*.f64 y (-.f64 1 (log.f64 y))) (fma.f64 1/2 (log.f64 y) z))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 y z))
(-.f64 y (fma.f64 (log.f64 y) (+.f64 1/2 y) z))
(*.f64 -1 z)
(neg.f64 z)
(-.f64 (+.f64 (*.f64 -1 z) y) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(fma.f64 (-.f64 1 (log.f64 y)) y (neg.f64 (fma.f64 1/2 (log.f64 y) z)))
(-.f64 (*.f64 y (-.f64 1 (log.f64 y))) (fma.f64 1/2 (log.f64 y) z))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 y z))
(-.f64 y (fma.f64 (log.f64 y) (+.f64 1/2 y) z))
(-.f64 (+.f64 (*.f64 -1 z) y) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(fma.f64 (-.f64 1 (log.f64 y)) y (neg.f64 (fma.f64 1/2 (log.f64 y) z)))
(-.f64 (*.f64 y (-.f64 1 (log.f64 y))) (fma.f64 1/2 (log.f64 y) z))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 y z))
(-.f64 y (fma.f64 (log.f64 y) (+.f64 1/2 y) z))
(-.f64 (+.f64 (*.f64 -1 z) y) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(fma.f64 (-.f64 1 (log.f64 y)) y (neg.f64 (fma.f64 1/2 (log.f64 y) z)))
(-.f64 (*.f64 y (-.f64 1 (log.f64 y))) (fma.f64 1/2 (log.f64 y) z))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 y z))
(-.f64 y (fma.f64 (log.f64 y) (+.f64 1/2 y) z))
(*.f64 -1 z)
(neg.f64 z)
(-.f64 (+.f64 (*.f64 -1 z) y) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(fma.f64 (-.f64 1 (log.f64 y)) y (neg.f64 (fma.f64 1/2 (log.f64 y) z)))
(-.f64 (*.f64 y (-.f64 1 (log.f64 y))) (fma.f64 1/2 (log.f64 y) z))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 y z))
(-.f64 y (fma.f64 (log.f64 y) (+.f64 1/2 y) z))
(-.f64 (+.f64 (*.f64 -1 z) y) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(fma.f64 (-.f64 1 (log.f64 y)) y (neg.f64 (fma.f64 1/2 (log.f64 y) z)))
(-.f64 (*.f64 y (-.f64 1 (log.f64 y))) (fma.f64 1/2 (log.f64 y) z))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 y z))
(-.f64 y (fma.f64 (log.f64 y) (+.f64 1/2 y) z))
(-.f64 (+.f64 (*.f64 -1 z) y) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(fma.f64 (-.f64 1 (log.f64 y)) y (neg.f64 (fma.f64 1/2 (log.f64 y) z)))
(-.f64 (*.f64 y (-.f64 1 (log.f64 y))) (fma.f64 1/2 (log.f64 y) z))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 y z))
(-.f64 y (fma.f64 (log.f64 y) (+.f64 1/2 y) z))
(+.f64 (*.f64 1/2 (log.f64 y)) z)
(fma.f64 1/2 (log.f64 y) z)
(+.f64 (*.f64 1/2 (log.f64 y)) (+.f64 (*.f64 y (log.f64 y)) z))
(fma.f64 1/2 (log.f64 y) (fma.f64 y (log.f64 y) z))
(fma.f64 (log.f64 y) (+.f64 1/2 y) z)
(+.f64 (*.f64 1/2 (log.f64 y)) (+.f64 (*.f64 y (log.f64 y)) z))
(fma.f64 1/2 (log.f64 y) (fma.f64 y (log.f64 y) z))
(fma.f64 (log.f64 y) (+.f64 1/2 y) z)
(+.f64 (*.f64 1/2 (log.f64 y)) (+.f64 (*.f64 y (log.f64 y)) z))
(fma.f64 1/2 (log.f64 y) (fma.f64 y (log.f64 y) z))
(fma.f64 (log.f64 y) (+.f64 1/2 y) z)
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (+.f64 z (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))))
(fma.f64 1/2 (log.f64 y) (fma.f64 y (log.f64 y) z))
(fma.f64 (log.f64 y) (+.f64 1/2 y) z)
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (+.f64 z (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))))
(fma.f64 1/2 (log.f64 y) (fma.f64 y (log.f64 y) z))
(fma.f64 (log.f64 y) (+.f64 1/2 y) z)
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (+.f64 z (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))))
(fma.f64 1/2 (log.f64 y) (fma.f64 y (log.f64 y) z))
(fma.f64 (log.f64 y) (+.f64 1/2 y) z)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) z))
(fma.f64 1/2 (log.f64 y) (fma.f64 y (log.f64 y) z))
(fma.f64 (log.f64 y) (+.f64 1/2 y) z)
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) z))
(fma.f64 1/2 (log.f64 y) (fma.f64 y (log.f64 y) z))
(fma.f64 (log.f64 y) (+.f64 1/2 y) z)
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) z))
(fma.f64 1/2 (log.f64 y) (fma.f64 y (log.f64 y) z))
(fma.f64 (log.f64 y) (+.f64 1/2 y) z)
(*.f64 (+.f64 1/2 y) (log.f64 y))
(*.f64 (log.f64 y) (+.f64 1/2 y))
(+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z)
(fma.f64 1/2 (log.f64 y) (fma.f64 y (log.f64 y) z))
(fma.f64 (log.f64 y) (+.f64 1/2 y) z)
(+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z)
(fma.f64 1/2 (log.f64 y) (fma.f64 y (log.f64 y) z))
(fma.f64 (log.f64 y) (+.f64 1/2 y) z)
(+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z)
(fma.f64 1/2 (log.f64 y) (fma.f64 y (log.f64 y) z))
(fma.f64 (log.f64 y) (+.f64 1/2 y) z)
z
(+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z)
(fma.f64 1/2 (log.f64 y) (fma.f64 y (log.f64 y) z))
(fma.f64 (log.f64 y) (+.f64 1/2 y) z)
(+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z)
(fma.f64 1/2 (log.f64 y) (fma.f64 y (log.f64 y) z))
(fma.f64 (log.f64 y) (+.f64 1/2 y) z)
(+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z)
(fma.f64 1/2 (log.f64 y) (fma.f64 y (log.f64 y) z))
(fma.f64 (log.f64 y) (+.f64 1/2 y) z)
z
(+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z)
(fma.f64 1/2 (log.f64 y) (fma.f64 y (log.f64 y) z))
(fma.f64 (log.f64 y) (+.f64 1/2 y) z)
(+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z)
(fma.f64 1/2 (log.f64 y) (fma.f64 y (log.f64 y) z))
(fma.f64 (log.f64 y) (+.f64 1/2 y) z)
(+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z)
(fma.f64 1/2 (log.f64 y) (fma.f64 y (log.f64 y) z))
(fma.f64 (log.f64 y) (+.f64 1/2 y) z)

localize20.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiled 48 to 25 computations (47.9% saved)

series7.0ms (0%)

Counts
3 → 60
Calls

15 calls:

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

rewrite98.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
556×fma-def_binary64
514×log-prod_binary64
379×pow-prod-down_binary64
302×fma-neg_binary64
292×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0936
121236
2319236
Stop Event
node limit
Counts
3 → 193
Calls
Call 1
Inputs
(*.f64 (+.f64 y 1/2) (log.f64 y))
(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
(-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (pow.f64 y (+.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 y)) (*.f64 y (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (log.f64 y)) (log.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 y) y) (*.f64 (log.f64 y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 y) 1/2) (*.f64 (log.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 y (+.f64 y 1/2))) 2)) (log.f64 (cbrt.f64 (pow.f64 y (+.f64 y 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 y (+.f64 y 1/2)))) (log.f64 (sqrt.f64 (pow.f64 y (+.f64 y 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1/8 (pow.f64 y 3)) (log.f64 y)) (-.f64 (fma.f64 y y 1/4) (*.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 y y -1/4) (log.f64 y)) (+.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 y) (+.f64 1/8 (pow.f64 y 3))) (-.f64 (fma.f64 y y 1/4) (*.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 y) (fma.f64 y y -1/4)) (+.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (pow.f64 y (+.f64 y 1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (pow.f64 y (+.f64 y 1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 y (+.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 y (+.f64 y 1/2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (pow.f64 y (+.f64 y 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 y (+.f64 y 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (pow.f64 y (+.f64 y 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 y (+.f64 y 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (log.f64 y) (log.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (log.f64 y) (*.f64 y (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 y) y (*.f64 (log.f64 y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 y) 1/2 (*.f64 (log.f64 y) y))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 x (-.f64 (log.f64 (pow.f64 y (+.f64 y 1/2))) y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 y (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))) 2) (-.f64 x (fma.f64 (+.f64 y 1/2) (log.f64 y) y))) (/.f64 (*.f64 y y) (-.f64 x (fma.f64 (+.f64 y 1/2) (log.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 y x) (log.f64 (pow.f64 y (+.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 y (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 y (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))))) (pow.f64 (cbrt.f64 (+.f64 y (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 y (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))))) 2) (cbrt.f64 (+.f64 y (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 y (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))))) (sqrt.f64 (+.f64 y (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))) 3) (pow.f64 y 3)) (/.f64 1 (fma.f64 y (-.f64 y (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2))))) (pow.f64 (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))) 2) (*.f64 y y)) (/.f64 1 (-.f64 x (fma.f64 (+.f64 y 1/2) (log.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 y (-.f64 y (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2))))) (pow.f64 (-.f64 x (log.f64 (pow.f64 y (+.f64 y 1/2)))) 2)) (+.f64 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simplify118.0ms (0.9%)

Algorithm
egg-herbie
Rules
683×sub-neg_binary64
399×+-commutative_binary64
366×neg-sub0_binary64
324×distribute-rgt-in_binary64
323×neg-mul-1_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
056698
1187664
2517584
31285584
43701584
55733584
66888584
77658584
87995584
Stop Event
node limit
Counts
253 → 224
Calls
Call 1
Inputs
(*.f64 1/2 (log.f64 y))
(+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))
(+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))
(+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y))
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y))
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y))
(-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
x
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
x
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 x (*.f64 1/2 (log.f64 y)))
(-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) (*.f64 1/2 (log.f64 y)))
(-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) (*.f64 1/2 (log.f64 y)))
(-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) (*.f64 1/2 (log.f64 y)))
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(-.f64 (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(-.f64 (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(-.f64 (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))))
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) x)
x
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) x)
x
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) x)
(-.f64 x (*.f64 1/2 (log.f64 y)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) x) (*.f64 1/2 (log.f64 y)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) x) (*.f64 1/2 (log.f64 y)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) x) (*.f64 1/2 (log.f64 y)))
(*.f64 y (log.f64 (/.f64 1 y)))
(-.f64 (+.f64 (*.f64 y (log.f64 (/.f64 1 y))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(-.f64 (+.f64 (*.f64 y (log.f64 (/.f64 1 y))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(-.f64 (+.f64 (*.f64 y (log.f64 (/.f64 1 y))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
Outputs
(*.f64 1/2 (log.f64 y))
(+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))
(*.f64 (log.f64 y) (+.f64 1/2 y))
(*.f64 (log.f64 y) (-.f64 y -1/2))
(+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))
(*.f64 (log.f64 y) (+.f64 1/2 y))
(*.f64 (log.f64 y) (-.f64 y -1/2))
(+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))
(*.f64 (log.f64 y) (+.f64 1/2 y))
(*.f64 (log.f64 y) (-.f64 y -1/2))
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(*.f64 (log.f64 y) (+.f64 1/2 y))
(*.f64 (log.f64 y) (-.f64 y -1/2))
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(*.f64 (log.f64 y) (+.f64 1/2 y))
(*.f64 (log.f64 y) (-.f64 y -1/2))
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(*.f64 (log.f64 y) (+.f64 1/2 y))
(*.f64 (log.f64 y) (-.f64 y -1/2))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y))
(*.f64 (log.f64 y) (+.f64 1/2 y))
(*.f64 (log.f64 y) (-.f64 y -1/2))
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y))
(*.f64 (log.f64 y) (+.f64 1/2 y))
(*.f64 (log.f64 y) (-.f64 y -1/2))
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y))
(*.f64 (log.f64 y) (+.f64 1/2 y))
(*.f64 (log.f64 y) (-.f64 y -1/2))
(-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 y (*.f64 (log.f64 y) (+.f64 1/2 y)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))
x
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))
x
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))
(-.f64 x (*.f64 1/2 (log.f64 y)))
(fma.f64 (log.f64 y) -1/2 x)
(-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) (*.f64 1/2 (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))
(-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) (*.f64 1/2 (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))
(-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) (*.f64 1/2 (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(*.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y)))))
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(fma.f64 (log.f64 y) (neg.f64 y) y)
(-.f64 (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))
(-.f64 (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))
(-.f64 (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))
(*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))))
(*.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y)))))
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(fma.f64 (log.f64 y) (neg.f64 y) y)
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))
(*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y)))
(neg.f64 (*.f64 (log.f64 y) (+.f64 1/2 y)))
(*.f64 (neg.f64 (log.f64 y)) (+.f64 1/2 y))
(*.f64 (log.f64 y) (-.f64 -1/2 y))
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) x)
(fma.f64 -1 (*.f64 (log.f64 y) (+.f64 1/2 y)) x)
(-.f64 x (*.f64 (log.f64 y) (+.f64 1/2 y)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) x)
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) x)
(fma.f64 -1 (*.f64 (log.f64 y) (+.f64 1/2 y)) x)
(-.f64 x (*.f64 (log.f64 y) (+.f64 1/2 y)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) x)
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) x)
(fma.f64 -1 (*.f64 (log.f64 y) (+.f64 1/2 y)) x)
(-.f64 x (*.f64 (log.f64 y) (+.f64 1/2 y)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) x)
x
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) x)
(fma.f64 -1 (*.f64 (log.f64 y) (+.f64 1/2 y)) x)
(-.f64 x (*.f64 (log.f64 y) (+.f64 1/2 y)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) x)
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) x)
(fma.f64 -1 (*.f64 (log.f64 y) (+.f64 1/2 y)) x)
(-.f64 x (*.f64 (log.f64 y) (+.f64 1/2 y)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) x)
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) x)
(fma.f64 -1 (*.f64 (log.f64 y) (+.f64 1/2 y)) x)
(-.f64 x (*.f64 (log.f64 y) (+.f64 1/2 y)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) x)
x
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) x)
(fma.f64 -1 (*.f64 (log.f64 y) (+.f64 1/2 y)) x)
(-.f64 x (*.f64 (log.f64 y) (+.f64 1/2 y)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) x)
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) x)
(fma.f64 -1 (*.f64 (log.f64 y) (+.f64 1/2 y)) x)
(-.f64 x (*.f64 (log.f64 y) (+.f64 1/2 y)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) x)
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) x)
(fma.f64 -1 (*.f64 (log.f64 y) (+.f64 1/2 y)) x)
(-.f64 x (*.f64 (log.f64 y) (+.f64 1/2 y)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) x)
(-.f64 x (*.f64 1/2 (log.f64 y)))
(fma.f64 (log.f64 y) -1/2 x)
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) x) (*.f64 1/2 (log.f64 y)))
(fma.f64 -1 (*.f64 (log.f64 y) (+.f64 1/2 y)) x)
(-.f64 x (*.f64 (log.f64 y) (+.f64 1/2 y)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) x)
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) x) (*.f64 1/2 (log.f64 y)))
(fma.f64 -1 (*.f64 (log.f64 y) (+.f64 1/2 y)) x)
(-.f64 x (*.f64 (log.f64 y) (+.f64 1/2 y)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) x)
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) x) (*.f64 1/2 (log.f64 y)))
(fma.f64 -1 (*.f64 (log.f64 y) (+.f64 1/2 y)) x)
(-.f64 x (*.f64 (log.f64 y) (+.f64 1/2 y)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) x)
(*.f64 y (log.f64 (/.f64 1 y)))
(*.f64 y (neg.f64 (log.f64 y)))
(*.f64 (log.f64 y) (neg.f64 y))
(-.f64 (+.f64 (*.f64 y (log.f64 (/.f64 1 y))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(fma.f64 -1 (*.f64 (log.f64 y) (+.f64 1/2 y)) x)
(-.f64 x (*.f64 (log.f64 y) (+.f64 1/2 y)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) x)
(-.f64 (+.f64 (*.f64 y (log.f64 (/.f64 1 y))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(fma.f64 -1 (*.f64 (log.f64 y) (+.f64 1/2 y)) x)
(-.f64 x (*.f64 (log.f64 y) (+.f64 1/2 y)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) x)
(-.f64 (+.f64 (*.f64 y (log.f64 (/.f64 1 y))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(fma.f64 -1 (*.f64 (log.f64 y) (+.f64 1/2 y)) x)
(-.f64 x (*.f64 (log.f64 y) (+.f64 1/2 y)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) x)
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(*.f64 y (neg.f64 (log.f64 y)))
(*.f64 (log.f64 y) (neg.f64 y))
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(fma.f64 -1 (*.f64 (log.f64 y) (+.f64 1/2 y)) x)
(-.f64 x (*.f64 (log.f64 y) (+.f64 1/2 y)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) x)
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(fma.f64 -1 (*.f64 (log.f64 y) (+.f64 1/2 y)) x)
(-.f64 x (*.f64 (log.f64 y) (+.f64 1/2 y)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) x)
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(fma.f64 -1 (*.f64 (log.f64 y) (+.f64 1/2 y)) x)
(-.f64 x (*.f64 (log.f64 y) (+.f64 1/2 y)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) x)

eval155.0ms (1.1%)

Compiler

Compiled 8547 to 5084 computations (40.5% saved)

prune81.0ms (0.6%)

Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New37518393
Fresh000
Picked101
Done101
Total37718395
Error
0.0b
Counts
395 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
24.6b
(+.f64 x (-.f64 y (*.f64 y (log.f64 y))))
0.1b
(-.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x) y) z)
17.5b
(-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)
0.5b
(-.f64 (+.f64 (fma.f64 (*.f64 (+.f64 (neg.f64 y) -1/2) (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)) x) y) z)
24.2b
(+.f64 x (fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z))) (-.f64 (sqrt.f64 y) (sqrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z))) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z)) 2) (fma.f64 (+.f64 y 1/2) (log.f64 y) z))))
18.7b
(+.f64 x (-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y))))
19.6b
(-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y -1/4) (log.f64 y)) (+.f64 y -1/2))) y) z)
23.8b
(+.f64 x (-.f64 y (pow.f64 (sqrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z)) 2)))
22.5b
(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z)
1.0b
(+.f64 x (-.f64 y (pow.f64 (cbrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z)) 3)))
32.6b
(+.f64 x (-.f64 y (/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 y 1/2) (log.f64 y)) 2) (*.f64 z z)) (-.f64 (*.f64 (+.f64 y 1/2) (log.f64 y)) z))))
24.5b
(+.f64 x (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))))
1.0b
(+.f64 x (pow.f64 (cbrt.f64 (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z))) 3))
6.1b
(-.f64 (+.f64 (-.f64 x (*.f64 y (log.f64 y))) y) z)
23.1b
(-.f64 (+.f64 (*.f64 (log.f64 y) (neg.f64 y)) y) z)
23.0b
(-.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) z)
28.9b
(+.f64 x (-.f64 y z))
28.4b
(-.f64 x z)
Compiler

Compiled 612 to 406 computations (33.7% saved)

localize17.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 39 to 19 computations (51.3% saved)

series6.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite71.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
597×prod-diff_binary64
494×unpow-prod-down_binary64
399×log-prod_binary64
262×pow-prod-down_binary64
243×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0823
117823
2242023
Stop Event
node limit
Counts
2 → 106
Calls
Call 1
Inputs
(fma.f64 (log.f64 y) (-.f64 -1/2 y) x)
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (log.f64 y) (-.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) 2) (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) (sqrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))) 2) 3) (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x) (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) 2) (-.f64 (*.f64 x x) (*.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) 2) (*.f64 x x)) (-.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (exp.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))) 1/3))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x) 2) (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x) y)) (/.f64 (*.f64 y y) (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))) (pow.f64 (cbrt.f64 (+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))) 2) (cbrt.f64 (+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 y (fma.f64 (log.f64 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*.f64 (pow.f64 1 1/3) (+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) (cbrt.f64 (+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)))) 2) 3) (cbrt.f64 (+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 y (-.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x) 2)) (+.f64 (pow.f64 y 3) (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x) y) (-.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x) 2) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y 3) (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x) 3)) (fma.f64 y (-.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y 3) (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x) 3)) (fma.f64 y y (-.f64 (pow.f64 (fma.f64 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egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 y (-.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x) 2)) (+.f64 (pow.f64 y 3) (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x) y) (-.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x) 2) (*.f64 y y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 y)) (exp.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 y) (+.f64 1 (expm1.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 y)) (+.f64 1 (expm1.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))) (exp.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) (+.f64 1 (expm1.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))) (+.f64 1 (expm1.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 1 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 -1/2 y) (log.f64 y) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x) 1 y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y)) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) 2) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) 2) (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) (-.f64 -1/2 y)) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) (sqrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y))) 2) (cbrt.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y))) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y))) (sqrt.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y))) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2)) (cbrt.f64 (-.f64 -1/2 y)) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log.f64 y) (sqrt.f64 (-.f64 -1/2 y))) (sqrt.f64 (-.f64 -1/2 y)) (+.f64 x y))))))

simplify113.0ms (0.8%)

Algorithm
egg-herbie
Rules
917×fma-def_binary64
688×sub-neg_binary64
400×+-commutative_binary64
341×neg-sub0_binary64
308×distribute-rgt-out--_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
049692
1149561
2419485
31194485
44174485
55738485
66628485
77338485
87933485
Stop Event
node limit
Counts
154 → 129
Calls
Call 1
Inputs
(+.f64 (*.f64 -1/2 (log.f64 y)) x)
(+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) (+.f64 (*.f64 -1/2 (log.f64 y)) x))
(+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) (+.f64 (*.f64 -1/2 (log.f64 y)) x))
(+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) (+.f64 (*.f64 -1/2 (log.f64 y)) x))
(*.f64 y (log.f64 (/.f64 1 y)))
(+.f64 (*.f64 y (log.f64 (/.f64 1 y))) (+.f64 x (*.f64 1/2 (log.f64 (/.f64 1 y)))))
(+.f64 (*.f64 y (log.f64 (/.f64 1 y))) (+.f64 x (*.f64 1/2 (log.f64 (/.f64 1 y)))))
(+.f64 (*.f64 y (log.f64 (/.f64 1 y))) (+.f64 x (*.f64 1/2 (log.f64 (/.f64 1 y)))))
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x))
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x))
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x))
(*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) x)
x
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) x)
x
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) x)
(+.f64 (*.f64 -1/2 (log.f64 y)) x)
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x))
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x))
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x))
(*.f64 y (+.f64 1 (log.f64 (/.f64 1 y))))
(+.f64 x (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y))))))
(+.f64 x (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y))))))
(+.f64 x (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y))))))
(*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1)))
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1))) x))
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1))) x))
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1))) x))
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y)
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))
x
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))
x
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))
Outputs
(+.f64 (*.f64 -1/2 (log.f64 y)) x)
(fma.f64 -1/2 (log.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) (+.f64 (*.f64 -1/2 (log.f64 y)) x))
(fma.f64 -1 (*.f64 y (log.f64 y)) (fma.f64 -1/2 (log.f64 y) x))
(-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) x)
(+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) (+.f64 (*.f64 -1/2 (log.f64 y)) x))
(fma.f64 -1 (*.f64 y (log.f64 y)) (fma.f64 -1/2 (log.f64 y) x))
(-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) x)
(+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) (+.f64 (*.f64 -1/2 (log.f64 y)) x))
(fma.f64 -1 (*.f64 y (log.f64 y)) (fma.f64 -1/2 (log.f64 y) x))
(-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) x)
(*.f64 y (log.f64 (/.f64 1 y)))
(*.f64 y (neg.f64 (log.f64 y)))
(*.f64 (log.f64 y) (neg.f64 y))
(+.f64 (*.f64 y (log.f64 (/.f64 1 y))) (+.f64 x (*.f64 1/2 (log.f64 (/.f64 1 y)))))
(fma.f64 -1 (*.f64 y (log.f64 y)) (fma.f64 -1/2 (log.f64 y) x))
(-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) x)
(+.f64 (*.f64 y (log.f64 (/.f64 1 y))) (+.f64 x (*.f64 1/2 (log.f64 (/.f64 1 y)))))
(fma.f64 -1 (*.f64 y (log.f64 y)) (fma.f64 -1/2 (log.f64 y) x))
(-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) x)
(+.f64 (*.f64 y (log.f64 (/.f64 1 y))) (+.f64 x (*.f64 1/2 (log.f64 (/.f64 1 y)))))
(fma.f64 -1 (*.f64 y (log.f64 y)) (fma.f64 -1/2 (log.f64 y) x))
(-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) x)
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(*.f64 y (neg.f64 (log.f64 y)))
(*.f64 (log.f64 y) (neg.f64 y))
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x))
(fma.f64 -1 (*.f64 y (log.f64 y)) (fma.f64 -1/2 (log.f64 y) x))
(-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) x)
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x))
(fma.f64 -1 (*.f64 y (log.f64 y)) (fma.f64 -1/2 (log.f64 y) x))
(-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) x)
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x))
(fma.f64 -1 (*.f64 y (log.f64 y)) (fma.f64 -1/2 (log.f64 y) x))
(-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) x)
(*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y)))
(neg.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)))
(*.f64 (log.f64 y) (+.f64 -1/2 (neg.f64 y)))
(*.f64 (log.f64 y) (-.f64 -1/2 y))
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) x)
(fma.f64 -1 (*.f64 y (log.f64 y)) (fma.f64 -1/2 (log.f64 y) x))
(-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) x)
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) x)
(fma.f64 -1 (*.f64 y (log.f64 y)) (fma.f64 -1/2 (log.f64 y) x))
(-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) x)
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) x)
(fma.f64 -1 (*.f64 y (log.f64 y)) (fma.f64 -1/2 (log.f64 y) x))
(-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) x)
x
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) x)
(fma.f64 -1 (*.f64 y (log.f64 y)) (fma.f64 -1/2 (log.f64 y) x))
(-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) x)
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) x)
(fma.f64 -1 (*.f64 y (log.f64 y)) (fma.f64 -1/2 (log.f64 y) x))
(-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) x)
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) x)
(fma.f64 -1 (*.f64 y (log.f64 y)) (fma.f64 -1/2 (log.f64 y) x))
(-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) x)
x
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) x)
(fma.f64 -1 (*.f64 y (log.f64 y)) (fma.f64 -1/2 (log.f64 y) x))
(-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) x)
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) x)
(fma.f64 -1 (*.f64 y (log.f64 y)) (fma.f64 -1/2 (log.f64 y) x))
(-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) x)
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) x)
(fma.f64 -1 (*.f64 y (log.f64 y)) (fma.f64 -1/2 (log.f64 y) x))
(-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) x)
(+.f64 (*.f64 -1/2 (log.f64 y)) x)
(fma.f64 -1/2 (log.f64 y) x)
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x))
(fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x))
(fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x))
(fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(*.f64 y (+.f64 1 (log.f64 (/.f64 1 y))))
(*.f64 y (+.f64 1 (neg.f64 (log.f64 y))))
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(+.f64 x (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y))))))
(fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(+.f64 x (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y))))))
(fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(+.f64 x (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y))))))
(fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1)))
(*.f64 y (+.f64 1 (neg.f64 (log.f64 y))))
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1))) x))
(fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1))) x))
(fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1))) x))
(fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y)
(fma.f64 -1 (*.f64 (log.f64 y) (+.f64 y 1/2)) y)
(fma.f64 (+.f64 -1/2 (neg.f64 y)) (log.f64 y) y)
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))
(fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))
(fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))
(fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
x
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))
(fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))
(fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))
(fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
x
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))
(fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))
(fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))
(fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2))))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))

localize4.0ms (0%)

Compiler

Compiled 8 to 4 computations (50% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(+.f64 (*.f64 (log.f64 y) (neg.f64 y)) y)
0.3b
(*.f64 (log.f64 y) (neg.f64 y))
Compiler

Compiled 30 to 8 computations (73.3% saved)

series49.0ms (0.4%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
30.0ms
y
@0
(*.f64 (log.f64 y) (neg.f64 y))
9.0ms
y
@-inf
(*.f64 (log.f64 y) (neg.f64 y))
9.0ms
y
@inf
(*.f64 (log.f64 y) (neg.f64 y))
0.0ms
y
@0
(+.f64 (*.f64 (log.f64 y) (neg.f64 y)) y)
0.0ms
y
@-inf
(+.f64 (*.f64 (log.f64 y) (neg.f64 y)) y)

rewrite63.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
590×pow1_binary64
549×add-log-exp_binary64
548×log1p-expm1-u_binary64
548×expm1-log1p-u_binary64
537×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0617
113313
2196013
Stop Event
node limit
Counts
2 → 52
Calls
Call 1
Inputs
(*.f64 (log.f64 y) (neg.f64 y))
(+.f64 (*.f64 (log.f64 y) (neg.f64 y)) y)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 y (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (log.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (log.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (log.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (log.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 y (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (log.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (log.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 y y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (log.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 y (*.f64 y (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 y (log.f64 y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 y (log.f64 y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (fma.f64 y (log.f64 y) y)) (/.f64 (*.f64 y y) (fma.f64 y (log.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y (log.f64 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y (log.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 y (log.f64 y) y) 2) (/.f64 1 (fma.f64 y (log.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y (log.f64 y) y)) (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) y)) 2) (cbrt.f64 (fma.f64 y (log.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y (log.f64 y) y)) (sqrt.f64 (fma.f64 y (log.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 y 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.f64 y (fma.f64 y (log.f64 y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 y (log.f64 y))) (sqrt.f64 y)) (-.f64 (sqrt.f64 (*.f64 y (log.f64 y))) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.f64 y (fma.f64 y (log.f64 y) y))) (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 y (log.f64 y) y) (pow.f64 (fma.f64 y (log.f64 y) y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (fma.f64 y (log.f64 y) y) 2) (fma.f64 y (log.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 y 3)) (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.f64 y (fma.f64 y (log.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 y 3)) (+.f64 (*.f64 y y) (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.f64 (log.f64 y) (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 y 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.f64 y (fma.f64 y (log.f64 y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (fma.f64 y (log.f64 y) y) 2)) (neg.f64 (fma.f64 y (log.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 y 3)) (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (*.f64 y (fma.f64 y (log.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y (log.f64 y)) 2)) (fma.f64 y (log.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y (log.f64 y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (log.f64 y) y) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y (log.f64 y) y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y (log.f64 y) y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y (log.f64 y) y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 y y) (exp.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y (log.f64 y) y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y (log.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y (log.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y (log.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (log.f64 y) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 y) y y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (*.f64 y (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y (log.f64 y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (log.f64 y))) 2) (cbrt.f64 (*.f64 y (log.f64 y))) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (*.f64 y (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y (log.f64 y))) (sqrt.f64 (*.f64 y (log.f64 y))) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (*.f64 y (log.f64 y)))))))

simplify179.0ms (1.3%)

Algorithm
egg-herbie
Rules
1082×fma-def_binary64
698×fma-neg_binary64
438×unsub-neg_binary64
384×associate--r-_binary64
370×distribute-rgt-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025228
168204
2178204
3502204
41307204
52723204
63451204
73554204
83596204
93610204
103612204
116497204
127032204
137438204
147755204
157759204
167767204
Stop Event
node limit
Counts
76 → 59
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 y (log.f64 y)))
(*.f64 -1 (*.f64 y (log.f64 y)))
(*.f64 -1 (*.f64 y (log.f64 y)))
(*.f64 -1 (*.f64 y (log.f64 y)))
(*.f64 y (log.f64 (/.f64 1 y)))
(*.f64 y (log.f64 (/.f64 1 y)))
(*.f64 y (log.f64 (/.f64 1 y)))
(*.f64 y (log.f64 (/.f64 1 y)))
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y))))
(*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y))))
(*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y))))
(*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y))))
(*.f64 y (+.f64 1 (log.f64 (/.f64 1 y))))
(*.f64 y (+.f64 1 (log.f64 (/.f64 1 y))))
(*.f64 y (+.f64 1 (log.f64 (/.f64 1 y))))
(*.f64 y (+.f64 1 (log.f64 (/.f64 1 y))))
(*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1)))
(*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1)))
(*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1)))
(*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1)))
Outputs
(*.f64 -1 (*.f64 y (log.f64 y)))
(neg.f64 (*.f64 y (log.f64 y)))
(*.f64 y (neg.f64 (log.f64 y)))
(*.f64 (log.f64 y) (neg.f64 y))
(*.f64 -1 (*.f64 y (log.f64 y)))
(neg.f64 (*.f64 y (log.f64 y)))
(*.f64 y (neg.f64 (log.f64 y)))
(*.f64 (log.f64 y) (neg.f64 y))
(*.f64 -1 (*.f64 y (log.f64 y)))
(neg.f64 (*.f64 y (log.f64 y)))
(*.f64 y (neg.f64 (log.f64 y)))
(*.f64 (log.f64 y) (neg.f64 y))
(*.f64 -1 (*.f64 y (log.f64 y)))
(neg.f64 (*.f64 y (log.f64 y)))
(*.f64 y (neg.f64 (log.f64 y)))
(*.f64 (log.f64 y) (neg.f64 y))
(*.f64 y (log.f64 (/.f64 1 y)))
(neg.f64 (*.f64 y (log.f64 y)))
(*.f64 y (neg.f64 (log.f64 y)))
(*.f64 (log.f64 y) (neg.f64 y))
(*.f64 y (log.f64 (/.f64 1 y)))
(neg.f64 (*.f64 y (log.f64 y)))
(*.f64 y (neg.f64 (log.f64 y)))
(*.f64 (log.f64 y) (neg.f64 y))
(*.f64 y (log.f64 (/.f64 1 y)))
(neg.f64 (*.f64 y (log.f64 y)))
(*.f64 y (neg.f64 (log.f64 y)))
(*.f64 (log.f64 y) (neg.f64 y))
(*.f64 y (log.f64 (/.f64 1 y)))
(neg.f64 (*.f64 y (log.f64 y)))
(*.f64 y (neg.f64 (log.f64 y)))
(*.f64 (log.f64 y) (neg.f64 y))
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(neg.f64 (*.f64 y (log.f64 y)))
(*.f64 y (neg.f64 (log.f64 y)))
(*.f64 (log.f64 y) (neg.f64 y))
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(neg.f64 (*.f64 y (log.f64 y)))
(*.f64 y (neg.f64 (log.f64 y)))
(*.f64 (log.f64 y) (neg.f64 y))
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(neg.f64 (*.f64 y (log.f64 y)))
(*.f64 y (neg.f64 (log.f64 y)))
(*.f64 (log.f64 y) (neg.f64 y))
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(neg.f64 (*.f64 y (log.f64 y)))
(*.f64 y (neg.f64 (log.f64 y)))
(*.f64 (log.f64 y) (neg.f64 y))
(*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y))))
(*.f64 y (+.f64 1 (neg.f64 (log.f64 y))))
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y))))
(*.f64 y (+.f64 1 (neg.f64 (log.f64 y))))
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y))))
(*.f64 y (+.f64 1 (neg.f64 (log.f64 y))))
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y))))
(*.f64 y (+.f64 1 (neg.f64 (log.f64 y))))
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(*.f64 y (+.f64 1 (log.f64 (/.f64 1 y))))
(*.f64 y (+.f64 1 (neg.f64 (log.f64 y))))
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(*.f64 y (+.f64 1 (log.f64 (/.f64 1 y))))
(*.f64 y (+.f64 1 (neg.f64 (log.f64 y))))
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(*.f64 y (+.f64 1 (log.f64 (/.f64 1 y))))
(*.f64 y (+.f64 1 (neg.f64 (log.f64 y))))
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(*.f64 y (+.f64 1 (log.f64 (/.f64 1 y))))
(*.f64 y (+.f64 1 (neg.f64 (log.f64 y))))
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1)))
(*.f64 y (+.f64 1 (neg.f64 (log.f64 y))))
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1)))
(*.f64 y (+.f64 1 (neg.f64 (log.f64 y))))
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1)))
(*.f64 y (+.f64 1 (neg.f64 (log.f64 y))))
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1)))
(*.f64 y (+.f64 1 (neg.f64 (log.f64 y))))
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))

localize26.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))
0.3b
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))
Compiler

Compiled 50 to 39 computations (22% saved)

series19.0ms (0.1%)

Counts
2 → 16
Calls

6 calls:

TimeVariablePointExpression
13.0ms
y
@-inf
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))
3.0ms
y
@0
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))
1.0ms
y
@inf
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))
1.0ms
y
@0
(-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))
0.0ms
y
@-inf
(-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))

rewrite75.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
653×pow1_binary64
607×add-log-exp_binary64
606×log1p-expm1-u_binary64
606×expm1-log1p-u_binary64
597×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0919
118515
2230515
Stop Event
node limit
Counts
2 → 44
Calls
Call 1
Inputs
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 (log.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 y (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 y (*.f64 y (log.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (log.f64 y) 3)) y) (+.f64 1 (*.f64 (log.f64 y) (+.f64 1 (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (log.f64 y) 2)) y) (+.f64 1 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 1 (pow.f64 (log.f64 y) 3))) (+.f64 1 (*.f64 (log.f64 y) (+.f64 1 (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 1 (pow.f64 (log.f64 y) 2))) (+.f64 1 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 y (*.f64 y (log.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 y (*.f64 y (log.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 y (*.f64 y (log.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 y (*.f64 y (log.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 y (*.f64 y (log.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (*.f64 (E.f64) y) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 y (*.f64 y (log.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (+.f64 1 (log.f64 y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 y)) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 y (*.f64 y (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 (*.f64 (E.f64) y) y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 y) (log1p.f64 (log.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (log.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (log.f64 y))) (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 y))) 2) (cbrt.f64 (+.f64 1 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (log.f64 y))) (sqrt.f64 (+.f64 1 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (log.f64 y) 3)) (/.f64 1 (+.f64 1 (*.f64 (log.f64 y) (+.f64 1 (log.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (log.f64 y) 2)) (/.f64 1 (+.f64 1 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 (log.f64 y) (+.f64 1 (log.f64 y)))) (+.f64 1 (pow.f64 (log.f64 y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (log.f64 y)) (+.f64 1 (pow.f64 (log.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (log.f64 y) 3)) (+.f64 1 (*.f64 (log.f64 y) (+.f64 1 (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (log.f64 y) 2)) (+.f64 1 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (log.f64 y) 3))) (neg.f64 (+.f64 1 (*.f64 (log.f64 y) (+.f64 1 (log.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (log.f64 y) 2))) (neg.f64 (+.f64 1 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (log.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (log.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (log.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (log.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (log.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (E.f64) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (log.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (*.f64 (E.f64) y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (log.f64 y)))))))

simplify268.0ms (2%)

Algorithm
egg-herbie
Rules
3079×fma-neg_binary64
1019×fma-def_binary64
553×unsub-neg_binary64
311×distribute-rgt-in_binary64
276×associate--r+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
014120
135120
287120
3222120
4671120
51506120
62434120
73521120
84000120
94077120
104100120
114106120
124600120
135714120
146333120
156675120
166722120
176756120
186760120
196760120
206807120
216811120
226811120
Stop Event
node limit
Counts
60 → 49
Calls
Call 1
Inputs
(*.f64 (-.f64 1 (log.f64 y)) y)
(*.f64 (-.f64 1 (log.f64 y)) y)
(*.f64 (-.f64 1 (log.f64 y)) y)
(*.f64 (-.f64 1 (log.f64 y)) y)
(*.f64 y (-.f64 1 (*.f64 -1 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))))
(*.f64 y (-.f64 1 (*.f64 -1 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))))
(*.f64 y (-.f64 1 (*.f64 -1 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))))
(*.f64 y (-.f64 1 (*.f64 -1 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))))
(-.f64 1 (log.f64 y))
(-.f64 1 (log.f64 y))
(-.f64 1 (log.f64 y))
(-.f64 1 (log.f64 y))
(-.f64 1 (*.f64 -1 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))))
(-.f64 1 (*.f64 -1 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))))
(-.f64 1 (*.f64 -1 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))))
(-.f64 1 (*.f64 -1 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))))
Outputs
(*.f64 (-.f64 1 (log.f64 y)) y)
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(*.f64 (-.f64 1 (log.f64 y)) y)
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(*.f64 (-.f64 1 (log.f64 y)) y)
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(*.f64 (-.f64 1 (log.f64 y)) y)
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(*.f64 y (-.f64 1 (*.f64 -1 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))))
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(*.f64 y (-.f64 1 (*.f64 -1 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))))
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(*.f64 y (-.f64 1 (*.f64 -1 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))))
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(*.f64 y (-.f64 1 (*.f64 -1 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))))
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(-.f64 1 (log.f64 y))
(-.f64 1 (log.f64 y))
(-.f64 1 (log.f64 y))
(-.f64 1 (log.f64 y))
(-.f64 1 (*.f64 -1 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))))
(-.f64 1 (log.f64 y))
(-.f64 1 (*.f64 -1 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))))
(-.f64 1 (log.f64 y))
(-.f64 1 (*.f64 -1 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))))
(-.f64 1 (log.f64 y))
(-.f64 1 (*.f64 -1 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))))
(-.f64 1 (log.f64 y))

localize63.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 (+.f64 y 1/2) (log.f64 y) z)
0.1b
(-.f64 y (pow.f64 (cbrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z)) 3))
0.6b
(cbrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z))
0.7b
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z)) 3)
Compiler

Compiled 64 to 36 computations (43.8% saved)

series44.0ms (0.3%)

Counts
4 → 52
Calls

24 calls:

TimeVariablePointExpression
8.0ms
y
@0
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z)) 3)
7.0ms
z
@0
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z)) 3)
3.0ms
y
@0
(-.f64 y (pow.f64 (cbrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z)) 3))
3.0ms
y
@inf
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z)) 3)
3.0ms
z
@0
(-.f64 y (pow.f64 (cbrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z)) 3))

rewrite162.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
670×prod-diff_binary64
469×log-prod_binary64
334×pow-prod-down_binary64
284×pow2_binary64
268×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01145
124645
2291345
Stop Event
node limit
Counts
4 → 219
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z)) 3)
(cbrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z))
(-.f64 y (pow.f64 (cbrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z)) 3))
(fma.f64 (+.f64 y 1/2) (log.f64 y) z)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 z (*.f64 (+.f64 y 1/2) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 y 1/2) (log.f64 y)) z)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (+.f64 y 1/2) (log.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (+.f64 y 1/2) (log.f64 y)) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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#<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z)) 1))))))

simplify148.0ms (1.1%)

Algorithm
egg-herbie
Rules
725×distribute-rgt-in_binary64
715×distribute-lft-in_binary64
313×associate-*r*_binary64
310×fma-def_binary64
260×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02333913
18893381
235833242
Stop Event
node limit
Counts
271 → 251
Calls
Call 1
Inputs
(*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/2 (log.f64 y)) z))
(+.f64 (*.f64 y (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (log.f64 y)) z) 4)) 1/9) (log.f64 y))) (*.f64 2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (log.f64 y)) z) 4)) 1/9) (log.f64 y))))) (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/2 (log.f64 y)) z)))
(+.f64 (*.f64 y (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (log.f64 y)) z) 4)) 1/9) (log.f64 y))) (*.f64 2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (log.f64 y)) z) 4)) 1/9) (log.f64 y))))) (+.f64 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/2 (log.f64 y)) z)) (*.f64 (pow.f64 y 2) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 (log.f64 y)) z)) 1/9) (pow.f64 (log.f64 y) 2))) (+.f64 (*.f64 (pow.f64 (*.f64 1 (+.f64 (*.f64 1/2 (log.f64 y)) z)) 1/3) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (log.f64 y)) z) 4)) 1/9) (pow.f64 (log.f64 y) 2))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (log.f64 y)) z) 4)) 1/9) (pow.f64 (log.f64 y) 2))))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 (log.f64 y)) z)) 1/9) (pow.f64 (log.f64 y) 2))))))))
(+.f64 (*.f64 y (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (log.f64 y)) z) 4)) 1/9) (log.f64 y))) (*.f64 2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (log.f64 y)) z) 4)) 1/9) (log.f64 y))))) (+.f64 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/2 (log.f64 y)) z)) (+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (log.f64 y)) z) 2)) 1/3) (pow.f64 (log.f64 y) 3)))) (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (log.f64 y)) z) 2)) 1/3) (pow.f64 (log.f64 y) 3)))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (log.f64 y)) z) 2)) 1/9) (*.f64 (log.f64 y) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (log.f64 y)) z) 4)) 1/9) (pow.f64 (log.f64 y) 2))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (log.f64 y)) z) 4)) 1/9) (pow.f64 (log.f64 y) 2))))))) (+.f64 (*.f64 -2/27 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (log.f64 y)) z) 2)) 1/3) (pow.f64 (log.f64 y) 3)))) (*.f64 (pow.f64 (*.f64 1 (+.f64 (*.f64 1/2 (log.f64 y)) z)) 1/3) (+.f64 (*.f64 -2/27 (*.f64 (pow.f64 1 1/9) (/.f64 (pow.f64 (log.f64 y) 3) (+.f64 (*.f64 1/2 (log.f64 y)) z)))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 (log.f64 y)) z)) 1/3) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (log.f64 y)) z) 2)) 1/3) (pow.f64 (log.f64 y) 3)))) (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (log.f64 y)) z) 2)) 1/3) (pow.f64 (log.f64 y) 3)))))))))))) (*.f64 (pow.f64 y 2) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 (log.f64 y)) z)) 1/9) (pow.f64 (log.f64 y) 2))) (+.f64 (*.f64 (pow.f64 (*.f64 1 (+.f64 (*.f64 1/2 (log.f64 y)) z)) 1/3) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (log.f64 y)) z) 4)) 1/9) (pow.f64 (log.f64 y) 2))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (log.f64 y)) z) 4)) 1/9) (pow.f64 (log.f64 y) 2))))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 (log.f64 y)) z)) 1/9) (pow.f64 (log.f64 y) 2)))))))))
(*.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) (pow.f64 1 1/3))
(+.f64 (*.f64 z (+.f64 (*.f64 1/3 (pow.f64 (*.f64 (pow.f64 (+.f64 1/2 y) 4) (*.f64 1 (pow.f64 (log.f64 y) 4))) 1/9)) (*.f64 2/3 (pow.f64 (*.f64 (pow.f64 (+.f64 1/2 y) 4) (*.f64 1 (pow.f64 (log.f64 y) 4))) 1/9)))) (*.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) (pow.f64 1 1/3)))
(+.f64 (*.f64 z (+.f64 (*.f64 1/3 (pow.f64 (*.f64 (pow.f64 (+.f64 1/2 y) 4) (*.f64 1 (pow.f64 (log.f64 y) 4))) 1/9)) (*.f64 2/3 (pow.f64 (*.f64 (pow.f64 (+.f64 1/2 y) 4) (*.f64 1 (pow.f64 (log.f64 y) 4))) 1/9)))) (+.f64 (*.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) (pow.f64 1 1/3)) (*.f64 (+.f64 (*.f64 -1/9 (pow.f64 (/.f64 1 (*.f64 (+.f64 1/2 y) (log.f64 y))) 1/9)) (+.f64 (*.f64 (pow.f64 (*.f64 (+.f64 1/2 y) (*.f64 1 (log.f64 y))) 1/3) (+.f64 (*.f64 -2/9 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1/2 y) 4) (pow.f64 (log.f64 y) 4))) 1/9)) (*.f64 1/9 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1/2 y) 4) (pow.f64 (log.f64 y) 4))) 1/9)))) (*.f64 2/9 (pow.f64 (/.f64 1 (*.f64 (+.f64 1/2 y) (log.f64 y))) 1/9)))) (pow.f64 z 2))))
(+.f64 (*.f64 z (+.f64 (*.f64 1/3 (pow.f64 (*.f64 (pow.f64 (+.f64 1/2 y) 4) (*.f64 1 (pow.f64 (log.f64 y) 4))) 1/9)) (*.f64 2/3 (pow.f64 (*.f64 (pow.f64 (+.f64 1/2 y) 4) (*.f64 1 (pow.f64 (log.f64 y) 4))) 1/9)))) (+.f64 (*.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) (pow.f64 1 1/3)) (+.f64 (*.f64 (+.f64 (*.f64 -1/9 (pow.f64 (/.f64 1 (*.f64 (+.f64 1/2 y) (log.f64 y))) 1/9)) (+.f64 (*.f64 (pow.f64 (*.f64 (+.f64 1/2 y) (*.f64 1 (log.f64 y))) 1/3) (+.f64 (*.f64 -2/9 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1/2 y) 4) (pow.f64 (log.f64 y) 4))) 1/9)) (*.f64 1/9 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1/2 y) 4) (pow.f64 (log.f64 y) 4))) 1/9)))) (*.f64 2/9 (pow.f64 (/.f64 1 (*.f64 (+.f64 1/2 y) (log.f64 y))) 1/9)))) (pow.f64 z 2)) (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1/2 y) 2) (pow.f64 (log.f64 y) 2))) 1/3) (pow.f64 (pow.f64 1 4) 1/9))) (*.f64 1/27 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1/2 y) 2) (pow.f64 (log.f64 y) 2))) 1/3))) (pow.f64 1 1/3))) (+.f64 (*.f64 -2/27 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1/2 y) 2) (pow.f64 (log.f64 y) 2))) 1/3) (pow.f64 (pow.f64 1 4) 1/9))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1/2 y) 2) (pow.f64 (log.f64 y) 2))) 1/9) (+.f64 (*.f64 -2/9 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1/2 y) 4) (pow.f64 (log.f64 y) 4))) 1/9)) (*.f64 1/9 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1/2 y) 4) (pow.f64 (log.f64 y) 4))) 1/9))))) (*.f64 (pow.f64 (*.f64 (+.f64 1/2 y) (*.f64 1 (log.f64 y))) 1/3) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (+.f64 1/2 y) (log.f64 y))) 1/3) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1/2 y) 2) (pow.f64 (log.f64 y) 2))) 1/3) (pow.f64 (pow.f64 1 4) 1/9))) (*.f64 1/27 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1/2 y) 2) (pow.f64 (log.f64 y) 2))) 1/3))))) (*.f64 -2/27 (*.f64 (pow.f64 1 1/9) (/.f64 1 (*.f64 (+.f64 1/2 y) (log.f64 y)))))))))) (pow.f64 z 3)))))
(pow.f64 (+.f64 (*.f64 1/2 (log.f64 y)) z) 1/3)
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (log.f64 y)) z) 2)) 1/9) (*.f64 y (log.f64 y)))) (pow.f64 (+.f64 (*.f64 1/2 (log.f64 y)) z) 1/3))
(+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (log.f64 y)) z) 7)) 1/9) (*.f64 (pow.f64 y 2) (pow.f64 (log.f64 y) 2)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (log.f64 y)) z) 2)) 1/9) (*.f64 y (log.f64 y)))) (pow.f64 (+.f64 (*.f64 1/2 (log.f64 y)) z) 1/3)))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (log.f64 y)) z) 2)) 1/3) (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (log.f64 y)) z) 2)) 1/3) (pow.f64 (log.f64 y) 3)))) (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (log.f64 y)) z) 2)) 1/3) (pow.f64 (log.f64 y) 3))))))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (log.f64 y)) z) 7)) 1/9) (*.f64 (pow.f64 y 2) (pow.f64 (log.f64 y) 2)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (log.f64 y)) z) 2)) 1/9) (*.f64 y (log.f64 y)))) (pow.f64 (+.f64 (*.f64 1/2 (log.f64 y)) z) 1/3))))
(pow.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) 1/3)
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1/2 y) 2) (pow.f64 (log.f64 y) 2))) 1/9) z)) (pow.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) 1/3))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1/2 y) 2) (pow.f64 (log.f64 y) 2))) 1/9) z)) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1/2 y) 7) (pow.f64 (log.f64 y) 7))) 1/9) (pow.f64 z 2))) (pow.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) 1/3)))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1/2 y) 2) (pow.f64 (log.f64 y) 2))) 1/9) z)) (+.f64 (*.f64 -1/3 (*.f64 (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1/2 y) 2) (pow.f64 (log.f64 y) 2))) 1/3) (pow.f64 (pow.f64 1 4) 1/9))) (*.f64 1/27 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1/2 y) 2) (pow.f64 (log.f64 y) 2))) 1/3))) (pow.f64 z 3)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1/2 y) 2) (pow.f64 (log.f64 y) 2))) 1/3))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1/2 y) 7) (pow.f64 (log.f64 y) 7))) 1/9) (pow.f64 z 2))) (pow.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) 1/3))))
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/2 (log.f64 y)) z)))
(+.f64 (*.f64 y (-.f64 1 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (log.f64 y)) z) 4)) 1/9) (log.f64 y))) (*.f64 2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (log.f64 y)) z) 4)) 1/9) (log.f64 y)))))) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/2 (log.f64 y)) z))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 (pow.f64 (*.f64 1 (+.f64 (*.f64 1/2 (log.f64 y)) z)) 1/3) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (log.f64 y)) z) 4)) 1/9) (pow.f64 (log.f64 y) 2))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (log.f64 y)) z) 4)) 1/9) (pow.f64 (log.f64 y) 2))))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 (log.f64 y)) z)) 1/9) (pow.f64 (log.f64 y) 2))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 (log.f64 y)) z)) 1/9) (pow.f64 (log.f64 y) 2))))))) (+.f64 (*.f64 y (-.f64 1 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (log.f64 y)) z) 4)) 1/9) (log.f64 y))) (*.f64 2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (log.f64 y)) z) 4)) 1/9) (log.f64 y)))))) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/2 (log.f64 y)) z)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (+.f64 (*.f64 (pow.f64 (*.f64 1 (+.f64 (*.f64 1/2 (log.f64 y)) z)) 1/3) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (log.f64 y)) z) 4)) 1/9) (pow.f64 (log.f64 y) 2))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (log.f64 y)) z) 4)) 1/9) (pow.f64 (log.f64 y) 2))))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 (log.f64 y)) z)) 1/9) (pow.f64 (log.f64 y) 2))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 (log.f64 y)) z)) 1/9) (pow.f64 (log.f64 y) 2))))))) (+.f64 (*.f64 y (-.f64 1 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (log.f64 y)) z) 4)) 1/9) (log.f64 y))) (*.f64 2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (log.f64 y)) z) 4)) 1/9) (log.f64 y)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (log.f64 y)) z) 2)) 1/3) (pow.f64 (log.f64 y) 3)))) (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (log.f64 y)) z) 2)) 1/3) (pow.f64 (log.f64 y) 3)))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (log.f64 y)) z) 2)) 1/9) (*.f64 (log.f64 y) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (log.f64 y)) z) 4)) 1/9) (pow.f64 (log.f64 y) 2))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (log.f64 y)) z) 4)) 1/9) (pow.f64 (log.f64 y) 2))))))) (+.f64 (*.f64 -2/27 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (log.f64 y)) z) 2)) 1/3) (pow.f64 (log.f64 y) 3)))) (*.f64 (pow.f64 (*.f64 1 (+.f64 (*.f64 1/2 (log.f64 y)) z)) 1/3) (+.f64 (*.f64 -2/27 (*.f64 (pow.f64 1 1/9) (/.f64 (pow.f64 (log.f64 y) 3) (+.f64 (*.f64 1/2 (log.f64 y)) z)))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (*.f64 1/2 (log.f64 y)) z)) 1/3) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (log.f64 y)) z) 2)) 1/3) (pow.f64 (log.f64 y) 3)))) (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (log.f64 y)) z) 2)) 1/3) (pow.f64 (log.f64 y) 3))))))))))))) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/2 (log.f64 y)) z))))))
y
y
(-.f64 y (*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 1/2 y) (log.f64 y))))
(-.f64 (+.f64 y (*.f64 -1 (*.f64 z (+.f64 (*.f64 1/3 (pow.f64 (*.f64 (pow.f64 (+.f64 1/2 y) 4) (*.f64 1 (pow.f64 (log.f64 y) 4))) 1/9)) (*.f64 2/3 (pow.f64 (*.f64 (pow.f64 (+.f64 1/2 y) 4) (*.f64 1 (pow.f64 (log.f64 y) 4))) 1/9)))))) (*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 1/2 y) (log.f64 y))))
(-.f64 (+.f64 y (+.f64 (*.f64 -1 (*.f64 z (+.f64 (*.f64 1/3 (pow.f64 (*.f64 (pow.f64 (+.f64 1/2 y) 4) (*.f64 1 (pow.f64 (log.f64 y) 4))) 1/9)) (*.f64 2/3 (pow.f64 (*.f64 (pow.f64 (+.f64 1/2 y) 4) (*.f64 1 (pow.f64 (log.f64 y) 4))) 1/9))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/9 (pow.f64 (/.f64 1 (*.f64 (+.f64 1/2 y) (log.f64 y))) 1/9)) (+.f64 (*.f64 2/9 (pow.f64 (/.f64 1 (*.f64 (+.f64 1/2 y) (log.f64 y))) 1/9)) (*.f64 (pow.f64 (*.f64 (+.f64 1/2 y) (*.f64 1 (log.f64 y))) 1/3) (+.f64 (*.f64 -2/9 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1/2 y) 4) (pow.f64 (log.f64 y) 4))) 1/9)) (*.f64 1/9 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1/2 y) 4) (pow.f64 (log.f64 y) 4))) 1/9)))))) (pow.f64 z 2))))) (*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 1/2 y) (log.f64 y))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1/2 y) 2) (pow.f64 (log.f64 y) 2))) 1/3) (pow.f64 (pow.f64 1 4) 1/9))) (*.f64 1/27 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1/2 y) 2) (pow.f64 (log.f64 y) 2))) 1/3))) (pow.f64 1 1/3))) (+.f64 (*.f64 -2/27 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1/2 y) 2) (pow.f64 (log.f64 y) 2))) 1/3) (pow.f64 (pow.f64 1 4) 1/9))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1/2 y) 2) (pow.f64 (log.f64 y) 2))) 1/9) (+.f64 (*.f64 -2/9 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1/2 y) 4) (pow.f64 (log.f64 y) 4))) 1/9)) (*.f64 1/9 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1/2 y) 4) (pow.f64 (log.f64 y) 4))) 1/9))))) (*.f64 (pow.f64 (*.f64 (+.f64 1/2 y) (*.f64 1 (log.f64 y))) 1/3) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (*.f64 (+.f64 1/2 y) (log.f64 y))) 1/3) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1/2 y) 2) (pow.f64 (log.f64 y) 2))) 1/3) (pow.f64 (pow.f64 1 4) 1/9))) (*.f64 1/27 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1/2 y) 2) (pow.f64 (log.f64 y) 2))) 1/3))))) (*.f64 -2/27 (*.f64 (pow.f64 1 1/9) (/.f64 1 (*.f64 (+.f64 1/2 y) (log.f64 y)))))))))) (pow.f64 z 3))) (+.f64 y (+.f64 (*.f64 -1 (*.f64 z (+.f64 (*.f64 1/3 (pow.f64 (*.f64 (pow.f64 (+.f64 1/2 y) 4) (*.f64 1 (pow.f64 (log.f64 y) 4))) 1/9)) (*.f64 2/3 (pow.f64 (*.f64 (pow.f64 (+.f64 1/2 y) 4) (*.f64 1 (pow.f64 (log.f64 y) 4))) 1/9))))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/9 (pow.f64 (/.f64 1 (*.f64 (+.f64 1/2 y) (log.f64 y))) 1/9)) (+.f64 (*.f64 2/9 (pow.f64 (/.f64 1 (*.f64 (+.f64 1/2 y) (log.f64 y))) 1/9)) (*.f64 (pow.f64 (*.f64 (+.f64 1/2 y) (*.f64 1 (log.f64 y))) 1/3) (+.f64 (*.f64 -2/9 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1/2 y) 4) (pow.f64 (log.f64 y) 4))) 1/9)) (*.f64 1/9 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1/2 y) 4) (pow.f64 (log.f64 y) 4))) 1/9)))))) (pow.f64 z 2)))))) (*.f64 (pow.f64 1 1/3) (*.f64 (+.f64 1/2 y) (log.f64 y))))
y
y
(+.f64 (*.f64 1/2 (log.f64 y)) z)
(+.f64 (*.f64 1/2 (log.f64 y)) (+.f64 (*.f64 y (log.f64 y)) z))
(+.f64 (*.f64 1/2 (log.f64 y)) (+.f64 (*.f64 y (log.f64 y)) z))
(+.f64 (*.f64 1/2 (log.f64 y)) (+.f64 (*.f64 y (log.f64 y)) z))
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (+.f64 z (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))))
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (+.f64 z (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))))
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (+.f64 z (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) z))
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) z))
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) z))
(*.f64 (+.f64 1/2 y) (log.f64 y))
(+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z)
(+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z)
(+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z)
z
(+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z)
(+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z)
(+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z)
z
(+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z)
(+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z)
(+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z)
Outputs
(*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/2 (log.f64 y)) z))
(fma.f64 1/2 (log.f64 y) z)
(+.f64 (*.f64 y (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (log.f64 y)) z) 4)) 1/9) (log.f64 y))) (*.f64 2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (log.f64 y)) z) 4)) 1/9) (log.f64 y))))) (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/2 (log.f64 y)) z)))
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(cbrt.f64 (fma.f64 1/2 (log.f64 y) z))
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y
y
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(-.f64 (fma.f64 -1 (*.f64 (fma.f64 -1/3 (*.f64 1 (fma.f64 -2/9 (*.f64 1 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 1/2 y) 2)) (pow.f64 (log.f64 y) 2)))) (*.f64 1/27 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 1/2 y) 2)) (pow.f64 (log.f64 y) 2)))))) (fma.f64 -2/27 (*.f64 1 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 1/2 y) 2)) (pow.f64 (log.f64 y) 2)))) (fma.f64 1/3 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1/2 y) 4) (pow.f64 (log.f64 y) 4))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1/2 y) 4) (pow.f64 (log.f64 y) 4))) 1/18)) -1/9) (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 1/2 y) 2)) (pow.f64 (log.f64 y) 2)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 1/2 y) 2)) (pow.f64 (log.f64 y) 2)) 1/18))) (*.f64 (cbrt.f64 (*.f64 (log.f64 y) (+.f64 1/2 y))) (fma.f64 -2/3 (*.f64 (fma.f64 -2/9 (*.f64 1 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 1/2 y) 2)) (pow.f64 (log.f64 y) 2)))) (*.f64 1/27 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 1/2 y) 2)) (pow.f64 (log.f64 y) 2))))) (cbrt.f64 (/.f64 1 (*.f64 (log.f64 y) (+.f64 1/2 y))))) (*.f64 -2/27 (/.f64 1 (*.f64 (log.f64 y) (+.f64 1/2 y))))))))) (pow.f64 z 3)) (+.f64 y (*.f64 -1 (+.f64 (*.f64 z (*.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 1/2 y) 4) (pow.f64 (log.f64 y) 4)) 1/18) (pow.f64 (*.f64 (pow.f64 (+.f64 1/2 y) 4) (pow.f64 (log.f64 y) 4)) 1/18)) 1)) (*.f64 (fma.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (log.f64 y) (+.f64 1/2 y))) 1/18) (pow.f64 (/.f64 1 (*.f64 (log.f64 y) (+.f64 1/2 y))) 1/18)) (fma.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (log.f64 y) (+.f64 1/2 y))) 1/18) (pow.f64 (/.f64 1 (*.f64 (log.f64 y) (+.f64 1/2 y))) 1/18)) (*.f64 (cbrt.f64 (*.f64 (log.f64 y) (+.f64 1/2 y))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1/2 y) 4) (pow.f64 (log.f64 y) 4))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1/2 y) 4) (pow.f64 (log.f64 y) 4))) 1/18)) -1/9)))) (*.f64 z z)))))) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(fma.f64 (neg.f64 (fma.f64 -1/3 (fma.f64 -2/9 (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 (+.f64 1/2 y) 2)))) (*.f64 1/27 (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 (+.f64 1/2 y) 2)))))) (fma.f64 -2/27 (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 (+.f64 1/2 y) 2)))) (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 (log.f64 y) 4)) (pow.f64 (+.f64 1/2 y) 4)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 (log.f64 y) 4)) (pow.f64 (+.f64 1/2 y) 4)) 1/18)) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 (+.f64 1/2 y) 2))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 (+.f64 1/2 y) 2))) 1/18)))) (*.f64 (cbrt.f64 (*.f64 (log.f64 y) (+.f64 1/2 y))) (fma.f64 -2/3 (*.f64 (fma.f64 -2/9 (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 (+.f64 1/2 y) 2)))) (*.f64 1/27 (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 (+.f64 1/2 y) 2)))))) (cbrt.f64 (/.f64 (/.f64 1 (log.f64 y)) (+.f64 1/2 y)))) (/.f64 -2/27 (*.f64 (log.f64 y) (+.f64 1/2 y))))))))) (pow.f64 z 3) (-.f64 (fma.f64 -1 (fma.f64 z (*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 1/2 y) 4) (pow.f64 (log.f64 y) 4)) 1/18) (pow.f64 (*.f64 (pow.f64 (+.f64 1/2 y) 4) (pow.f64 (log.f64 y) 4)) 1/18)) (*.f64 (+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 (log.f64 y) 4)) (pow.f64 (+.f64 1/2 y) 4)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 (log.f64 y) 4)) (pow.f64 (+.f64 1/2 y) 4)) 1/18)) (*.f64 -1/9 (cbrt.f64 (*.f64 (log.f64 y) (+.f64 1/2 y))))) (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (log.f64 y)) (+.f64 1/2 y)) 1/18) (pow.f64 (/.f64 (/.f64 1 (log.f64 y)) (+.f64 1/2 y)) 1/18)) 1/9)) (*.f64 z z))) y) (*.f64 (log.f64 y) (+.f64 1/2 y))))
(-.f64 (-.f64 y (*.f64 z (+.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 1/2 y) 4) (pow.f64 (log.f64 y) 4)) 1/18) (pow.f64 (*.f64 (pow.f64 (+.f64 1/2 y) 4) (pow.f64 (log.f64 y) 4)) 1/18)) (*.f64 (+.f64 (*.f64 (cbrt.f64 (*.f64 (log.f64 y) (+.f64 1/2 y))) (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 (log.f64 y) 4)) (pow.f64 (+.f64 1/2 y) 4)) 1/18) (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 (log.f64 y) 4)) (pow.f64 (+.f64 1/2 y) 4)) 1/18) -1/9))) (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (log.f64 y)) (+.f64 1/2 y)) 1/18) (pow.f64 (/.f64 (/.f64 1 (log.f64 y)) (+.f64 1/2 y)) 1/18)) 1/9)) z)))) (+.f64 (*.f64 (fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (log.f64 y) 2)) (pow.f64 (+.f64 1/2 y) 2))) -5/27) (fma.f64 -2/27 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (log.f64 y) 2)) (pow.f64 (+.f64 1/2 y) 2))) (fma.f64 (cbrt.f64 (*.f64 (log.f64 y) (+.f64 1/2 y))) (fma.f64 -2/3 (*.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (log.f64 y) 2)) (pow.f64 (+.f64 1/2 y) 2))) -5/27) (cbrt.f64 (/.f64 (/.f64 1 (log.f64 y)) (+.f64 1/2 y)))) (/.f64 -2/27 (*.f64 (log.f64 y) (+.f64 1/2 y)))) (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 (log.f64 y) 4)) (pow.f64 (+.f64 1/2 y) 4)) 1/18) (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 (log.f64 y) 4)) (pow.f64 (+.f64 1/2 y) 4)) 1/18) -1/9)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 (log.f64 y) 2)) (pow.f64 (+.f64 1/2 y) 2)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 (log.f64 y) 2)) (pow.f64 (+.f64 1/2 y) 2)) 1/18))))))) (pow.f64 z 3)) (*.f64 (log.f64 y) (+.f64 1/2 y))))
y
y
(+.f64 (*.f64 1/2 (log.f64 y)) z)
(fma.f64 1/2 (log.f64 y) z)
(+.f64 (*.f64 1/2 (log.f64 y)) (+.f64 (*.f64 y (log.f64 y)) z))
(fma.f64 1/2 (log.f64 y) (fma.f64 y (log.f64 y) z))
(fma.f64 (log.f64 y) (+.f64 1/2 y) z)
(+.f64 (*.f64 1/2 (log.f64 y)) (+.f64 (*.f64 y (log.f64 y)) z))
(fma.f64 1/2 (log.f64 y) (fma.f64 y (log.f64 y) z))
(fma.f64 (log.f64 y) (+.f64 1/2 y) z)
(+.f64 (*.f64 1/2 (log.f64 y)) (+.f64 (*.f64 y (log.f64 y)) z))
(fma.f64 1/2 (log.f64 y) (fma.f64 y (log.f64 y) z))
(fma.f64 (log.f64 y) (+.f64 1/2 y) z)
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (neg.f64 (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (+.f64 z (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))))
(fma.f64 1/2 (log.f64 y) (fma.f64 y (log.f64 y) z))
(fma.f64 (log.f64 y) (+.f64 1/2 y) z)
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (+.f64 z (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))))
(fma.f64 1/2 (log.f64 y) (fma.f64 y (log.f64 y) z))
(fma.f64 (log.f64 y) (+.f64 1/2 y) z)
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (+.f64 z (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))))
(fma.f64 1/2 (log.f64 y) (fma.f64 y (log.f64 y) z))
(fma.f64 (log.f64 y) (+.f64 1/2 y) z)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(*.f64 y (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))
(*.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) z))
(fma.f64 1/2 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) (fma.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) y z))
(+.f64 z (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (+.f64 1/2 y)))
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) z))
(fma.f64 1/2 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) (fma.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) y z))
(+.f64 z (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (+.f64 1/2 y)))
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) z))
(fma.f64 1/2 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) (fma.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) y z))
(+.f64 z (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (+.f64 1/2 y)))
(*.f64 (+.f64 1/2 y) (log.f64 y))
(*.f64 (log.f64 y) (+.f64 1/2 y))
(+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z)
(fma.f64 1/2 (log.f64 y) (fma.f64 y (log.f64 y) z))
(fma.f64 (log.f64 y) (+.f64 1/2 y) z)
(+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z)
(fma.f64 1/2 (log.f64 y) (fma.f64 y (log.f64 y) z))
(fma.f64 (log.f64 y) (+.f64 1/2 y) z)
(+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z)
(fma.f64 1/2 (log.f64 y) (fma.f64 y (log.f64 y) z))
(fma.f64 (log.f64 y) (+.f64 1/2 y) z)
z
(+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z)
(fma.f64 1/2 (log.f64 y) (fma.f64 y (log.f64 y) z))
(fma.f64 (log.f64 y) (+.f64 1/2 y) z)
(+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z)
(fma.f64 1/2 (log.f64 y) (fma.f64 y (log.f64 y) z))
(fma.f64 (log.f64 y) (+.f64 1/2 y) z)
(+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z)
(fma.f64 1/2 (log.f64 y) (fma.f64 y (log.f64 y) z))
(fma.f64 (log.f64 y) (+.f64 1/2 y) z)
z
(+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z)
(fma.f64 1/2 (log.f64 y) (fma.f64 y (log.f64 y) z))
(fma.f64 (log.f64 y) (+.f64 1/2 y) z)
(+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z)
(fma.f64 1/2 (log.f64 y) (fma.f64 y (log.f64 y) z))
(fma.f64 (log.f64 y) (+.f64 1/2 y) z)
(+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z)
(fma.f64 1/2 (log.f64 y) (fma.f64 y (log.f64 y) z))
(fma.f64 (log.f64 y) (+.f64 1/2 y) z)

eval636.0ms (4.6%)

Compiler

Compiled 14672 to 9085 computations (38.1% saved)

prune123.0ms (0.9%)

Pruning

18 alts after pruning (16 fresh and 2 done)

PrunedKeptTotal
New4799488
Fresh6713
Picked101
Done224
Total48818506
Error
0.0b
Counts
506 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
0.9b
(-.f64 (pow.f64 (cbrt.f64 (+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))) 3) z)
32.1b
(-.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) 2) (*.f64 x x)) (-.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) x)) y) z)
24.6b
(+.f64 x (-.f64 y (*.f64 y (log.f64 y))))
0.1b
(-.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x) y) z)
0.3b
(+.f64 x (-.f64 y (fma.f64 (sqrt.f64 (+.f64 y 1/2)) (*.f64 (sqrt.f64 (+.f64 y 1/2)) (log.f64 y)) z)))
24.9b
(+.f64 x (-.f64 y (pow.f64 (cbrt.f64 (*.f64 y (log.f64 y))) 3)))
17.5b
(-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)
18.7b
(+.f64 x (-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y))))
19.6b
(-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y -1/4) (log.f64 y)) (+.f64 y -1/2))) y) z)
23.8b
(+.f64 x (-.f64 y (pow.f64 (sqrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z)) 2)))
23.0b
(-.f64 (*.f64 (-.f64 1 (log.f64 y)) y) z)
26.9b
(-.f64 (fma.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) (-.f64 -1/2 y)) (+.f64 x y)) z)
22.5b
(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z)
46.9b
(+.f64 x y)
24.5b
(+.f64 x (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))))
6.1b
(-.f64 (+.f64 (-.f64 x (*.f64 y (log.f64 y))) y) z)
0.6b
(-.f64 (fma.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2)) (cbrt.f64 (-.f64 -1/2 y)) (+.f64 x y)) z)
28.4b
(-.f64 x z)
Compiler

Compiled 518 to 353 computations (31.9% saved)

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (+.f64 y 1/2))
0.1b
(-.f64 y (fma.f64 (sqrt.f64 (+.f64 y 1/2)) (*.f64 (sqrt.f64 (+.f64 y 1/2)) (log.f64 y)) z))
0.3b
(fma.f64 (sqrt.f64 (+.f64 y 1/2)) (*.f64 (sqrt.f64 (+.f64 y 1/2)) (log.f64 y)) z)
0.4b
(*.f64 (sqrt.f64 (+.f64 y 1/2)) (log.f64 y))
Compiler

Compiled 68 to 41 computations (39.7% saved)

series15.0ms (0.1%)

Counts
4 → 42
Calls

18 calls:

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

rewrite159.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
555×prod-diff_binary64
502×log-prod_binary64
361×pow-prod-down_binary64
287×pow2_binary64
272×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01060
121744
2287040
Stop Event
node limit
Counts
4 → 168
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (+.f64 y 1/2)) (log.f64 y))
(fma.f64 (sqrt.f64 (+.f64 y 1/2)) (*.f64 (sqrt.f64 (+.f64 y 1/2)) (log.f64 y)) z)
(-.f64 y (fma.f64 (sqrt.f64 (+.f64 y 1/2)) (*.f64 (sqrt.f64 (+.f64 y 1/2)) (log.f64 y)) z))
(sqrt.f64 (+.f64 y 1/2))
Outputs
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simplify61.0ms (0.4%)

Algorithm
egg-herbie
Rules
550×fma-def_binary64
541×cancel-sign-sub-inv_binary64
336×associate-/l/_binary64
289×fma-neg_binary64
271×associate-+l+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
086773
1272593
2983527
34855501
Stop Event
node limit
Counts
210 → 204
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 1/2) (log.f64 y))
(+.f64 (*.f64 (sqrt.f64 1/2) (log.f64 y)) (*.f64 1/2 (/.f64 (*.f64 y (log.f64 y)) (sqrt.f64 1/2))))
(+.f64 (*.f64 (sqrt.f64 1/2) (log.f64 y)) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 y 2) (log.f64 y)) (pow.f64 (sqrt.f64 1/2) 3))) (*.f64 1/2 (/.f64 (*.f64 y (log.f64 y)) (sqrt.f64 1/2)))))
(+.f64 (*.f64 (sqrt.f64 1/2) (log.f64 y)) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 y 3) (log.f64 y)) (pow.f64 (sqrt.f64 1/2) 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 y 2) (log.f64 y)) (pow.f64 (sqrt.f64 1/2) 3))) (*.f64 1/2 (/.f64 (*.f64 y (log.f64 y)) (sqrt.f64 1/2))))))
(+.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (log.f64 y)) z)
(+.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (log.f64 y)) (+.f64 (*.f64 y (log.f64 y)) z))
(+.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (log.f64 y)) (+.f64 (*.f64 y (log.f64 y)) (+.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (log.f64 y) (pow.f64 (sqrt.f64 1/2) 2))) (*.f64 1/4 (/.f64 (log.f64 y) (pow.f64 (sqrt.f64 1/2) 2)))) (pow.f64 y 2)) z)))
(+.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (log.f64 y)) (+.f64 (*.f64 y (log.f64 y)) (+.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (log.f64 y) (pow.f64 (sqrt.f64 1/2) 2))) (*.f64 1/4 (/.f64 (log.f64 y) (pow.f64 (sqrt.f64 1/2) 2)))) (pow.f64 y 2)) (+.f64 z (*.f64 (+.f64 (*.f64 1/8 (/.f64 (log.f64 y) (pow.f64 (sqrt.f64 1/2) 4))) (*.f64 -1/8 (/.f64 (log.f64 y) (pow.f64 (sqrt.f64 1/2) 4)))) (pow.f64 y 3))))))
(*.f64 (+.f64 1/2 y) (log.f64 y))
(+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z)
(+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z)
(+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z)
z
(+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z)
(+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z)
(+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z)
z
(+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z)
(+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z)
(+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z)
(*.f64 -1 (+.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (log.f64 y)) z))
(+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) (*.f64 -1 (+.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (log.f64 y)) z)))
(+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (log.f64 y) (pow.f64 (sqrt.f64 1/2) 2))) (*.f64 1/4 (/.f64 (log.f64 y) (pow.f64 (sqrt.f64 1/2) 2)))) (pow.f64 y 2))) (*.f64 -1 (+.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (log.f64 y)) z))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 1/8 (/.f64 (log.f64 y) (pow.f64 (sqrt.f64 1/2) 4))) (*.f64 -1/8 (/.f64 (log.f64 y) (pow.f64 (sqrt.f64 1/2) 4)))))) (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (log.f64 y) (pow.f64 (sqrt.f64 1/2) 2))) (*.f64 1/4 (/.f64 (log.f64 y) (pow.f64 (sqrt.f64 1/2) 2)))) (pow.f64 y 2))) (*.f64 -1 (+.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (log.f64 y)) z)))))
y
y
(-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 (*.f64 -1 z) y) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 (*.f64 -1 z) y) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 (*.f64 -1 z) y) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(*.f64 -1 z)
(-.f64 (+.f64 (*.f64 -1 z) y) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 (*.f64 -1 z) y) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 (*.f64 -1 z) y) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(*.f64 -1 z)
(-.f64 (+.f64 (*.f64 -1 z) y) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 (*.f64 -1 z) y) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 (*.f64 -1 z) y) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 1/2 (/.f64 y (sqrt.f64 1/2))))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 y 2) (pow.f64 (sqrt.f64 1/2) 3))) (*.f64 1/2 (/.f64 y (sqrt.f64 1/2)))))
(+.f64 (*.f64 1/16 (/.f64 (pow.f64 y 3) (pow.f64 (sqrt.f64 1/2) 5))) (+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 y 2) (pow.f64 (sqrt.f64 1/2) 3))) (*.f64 1/2 (/.f64 y (sqrt.f64 1/2))))))
Outputs
(*.f64 (sqrt.f64 1/2) (log.f64 y))
(+.f64 (*.f64 (sqrt.f64 1/2) (log.f64 y)) (*.f64 1/2 (/.f64 (*.f64 y (log.f64 y)) (sqrt.f64 1/2))))
(fma.f64 (sqrt.f64 1/2) (log.f64 y) (*.f64 1/2 (/.f64 y (/.f64 (sqrt.f64 1/2) (log.f64 y)))))
(fma.f64 (sqrt.f64 1/2) (log.f64 y) (/.f64 (*.f64 (*.f64 y 1/2) (log.f64 y)) (sqrt.f64 1/2)))
(fma.f64 (sqrt.f64 1/2) (log.f64 y) (*.f64 (*.f64 (log.f64 y) (/.f64 y (sqrt.f64 1/2))) 1/2))
(*.f64 (log.f64 y) (fma.f64 1/2 (/.f64 y (sqrt.f64 1/2)) (sqrt.f64 1/2)))
(+.f64 (*.f64 (sqrt.f64 1/2) (log.f64 y)) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 y 2) (log.f64 y)) (pow.f64 (sqrt.f64 1/2) 3))) (*.f64 1/2 (/.f64 (*.f64 y (log.f64 y)) (sqrt.f64 1/2)))))
(fma.f64 (sqrt.f64 1/2) (log.f64 y) (fma.f64 -1/8 (/.f64 (*.f64 (log.f64 y) (*.f64 y y)) (pow.f64 (sqrt.f64 1/2) 3)) (*.f64 1/2 (/.f64 y (/.f64 (sqrt.f64 1/2) (log.f64 y))))))
(fma.f64 (sqrt.f64 1/2) (log.f64 y) (fma.f64 (*.f64 (/.f64 y (sqrt.f64 1/2)) (log.f64 y)) 1/2 (*.f64 -1/4 (/.f64 (*.f64 y (*.f64 y (log.f64 y))) (sqrt.f64 1/2)))))
(fma.f64 (sqrt.f64 1/2) (log.f64 y) (fma.f64 (*.f64 (log.f64 y) (/.f64 y (sqrt.f64 1/2))) 1/2 (*.f64 (/.f64 (*.f64 y y) -4) (/.f64 (log.f64 y) (sqrt.f64 1/2)))))
(fma.f64 (sqrt.f64 1/2) (log.f64 y) (*.f64 (log.f64 y) (*.f64 (/.f64 y (sqrt.f64 1/2)) (+.f64 1/2 (*.f64 (/.f64 y 1/2) -1/8)))))
(+.f64 (*.f64 (sqrt.f64 1/2) (log.f64 y)) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 y 3) (log.f64 y)) (pow.f64 (sqrt.f64 1/2) 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 y 2) (log.f64 y)) (pow.f64 (sqrt.f64 1/2) 3))) (*.f64 1/2 (/.f64 (*.f64 y (log.f64 y)) (sqrt.f64 1/2))))))
(fma.f64 (sqrt.f64 1/2) (log.f64 y) (fma.f64 1/16 (/.f64 (*.f64 (log.f64 y) (pow.f64 y 3)) (pow.f64 (sqrt.f64 1/2) 5)) (fma.f64 -1/8 (/.f64 (*.f64 (log.f64 y) (*.f64 y y)) (pow.f64 (sqrt.f64 1/2) 3)) (*.f64 1/2 (/.f64 y (/.f64 (sqrt.f64 1/2) (log.f64 y)))))))
(fma.f64 (sqrt.f64 1/2) (log.f64 y) (fma.f64 1/16 (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 (sqrt.f64 1/2) 5)) (log.f64 y)) (fma.f64 (*.f64 (/.f64 y (sqrt.f64 1/2)) (log.f64 y)) 1/2 (*.f64 -1/4 (/.f64 (*.f64 y (*.f64 y (log.f64 y))) (sqrt.f64 1/2))))))
(fma.f64 (sqrt.f64 1/2) (log.f64 y) (fma.f64 (*.f64 (log.f64 y) (/.f64 y (sqrt.f64 1/2))) 1/2 (fma.f64 1/16 (*.f64 (log.f64 y) (/.f64 (pow.f64 y 3) (pow.f64 (sqrt.f64 1/2) 5))) (*.f64 (/.f64 (*.f64 y y) -4) (/.f64 (log.f64 y) (sqrt.f64 1/2))))))
(+.f64 (*.f64 (log.f64 y) (*.f64 (/.f64 y (sqrt.f64 1/2)) (+.f64 1/2 (*.f64 (/.f64 y 1/2) -1/8)))) (*.f64 (log.f64 y) (fma.f64 1/16 (/.f64 (pow.f64 y 3) (pow.f64 (sqrt.f64 1/2) 5)) (sqrt.f64 1/2))))
(+.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (log.f64 y)) z)
(fma.f64 (pow.f64 (sqrt.f64 1/2) 2) (log.f64 y) z)
(fma.f64 (log.f64 y) 1/2 z)
(+.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (log.f64 y)) (+.f64 (*.f64 y (log.f64 y)) z))
(fma.f64 (pow.f64 (sqrt.f64 1/2) 2) (log.f64 y) (fma.f64 y (log.f64 y) z))
(fma.f64 (log.f64 y) (+.f64 y 1/2) z)
(+.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (log.f64 y)) (+.f64 (*.f64 y (log.f64 y)) (+.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (log.f64 y) (pow.f64 (sqrt.f64 1/2) 2))) (*.f64 1/4 (/.f64 (log.f64 y) (pow.f64 (sqrt.f64 1/2) 2)))) (pow.f64 y 2)) z)))
(fma.f64 (pow.f64 (sqrt.f64 1/2) 2) (log.f64 y) (fma.f64 y (log.f64 y) z))
(fma.f64 (log.f64 y) (+.f64 y 1/2) z)
(+.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (log.f64 y)) (+.f64 (*.f64 y (log.f64 y)) (+.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (log.f64 y) (pow.f64 (sqrt.f64 1/2) 2))) (*.f64 1/4 (/.f64 (log.f64 y) (pow.f64 (sqrt.f64 1/2) 2)))) (pow.f64 y 2)) (+.f64 z (*.f64 (+.f64 (*.f64 1/8 (/.f64 (log.f64 y) (pow.f64 (sqrt.f64 1/2) 4))) (*.f64 -1/8 (/.f64 (log.f64 y) (pow.f64 (sqrt.f64 1/2) 4)))) (pow.f64 y 3))))))
(fma.f64 (pow.f64 (sqrt.f64 1/2) 2) (log.f64 y) (fma.f64 y (log.f64 y) z))
(fma.f64 (log.f64 y) (+.f64 y 1/2) z)
(*.f64 (+.f64 1/2 y) (log.f64 y))
(*.f64 (log.f64 y) (+.f64 1/2 y))
(*.f64 (log.f64 y) (+.f64 y 1/2))
(+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z)
(fma.f64 (pow.f64 (sqrt.f64 1/2) 2) (log.f64 y) (fma.f64 y (log.f64 y) z))
(fma.f64 (log.f64 y) (+.f64 y 1/2) z)
(+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z)
(fma.f64 (pow.f64 (sqrt.f64 1/2) 2) (log.f64 y) (fma.f64 y (log.f64 y) z))
(fma.f64 (log.f64 y) (+.f64 y 1/2) z)
(+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z)
(fma.f64 (pow.f64 (sqrt.f64 1/2) 2) (log.f64 y) (fma.f64 y (log.f64 y) z))
(fma.f64 (log.f64 y) (+.f64 y 1/2) z)
z
(+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z)
(fma.f64 (pow.f64 (sqrt.f64 1/2) 2) (log.f64 y) (fma.f64 y (log.f64 y) z))
(fma.f64 (log.f64 y) (+.f64 y 1/2) z)
(+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z)
(fma.f64 (pow.f64 (sqrt.f64 1/2) 2) (log.f64 y) (fma.f64 y (log.f64 y) z))
(fma.f64 (log.f64 y) (+.f64 y 1/2) z)
(+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z)
(fma.f64 (pow.f64 (sqrt.f64 1/2) 2) (log.f64 y) (fma.f64 y (log.f64 y) z))
(fma.f64 (log.f64 y) (+.f64 y 1/2) z)
z
(+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z)
(fma.f64 (pow.f64 (sqrt.f64 1/2) 2) (log.f64 y) (fma.f64 y (log.f64 y) z))
(fma.f64 (log.f64 y) (+.f64 y 1/2) z)
(+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z)
(fma.f64 (pow.f64 (sqrt.f64 1/2) 2) (log.f64 y) (fma.f64 y (log.f64 y) z))
(fma.f64 (log.f64 y) (+.f64 y 1/2) z)
(+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z)
(fma.f64 (pow.f64 (sqrt.f64 1/2) 2) (log.f64 y) (fma.f64 y (log.f64 y) z))
(fma.f64 (log.f64 y) (+.f64 y 1/2) z)
(*.f64 -1 (+.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (log.f64 y)) z))
(neg.f64 (fma.f64 (pow.f64 (sqrt.f64 1/2) 2) (log.f64 y) z))
(neg.f64 (fma.f64 (log.f64 y) 1/2 z))
(+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) (*.f64 -1 (+.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (log.f64 y)) z)))
(fma.f64 (-.f64 1 (log.f64 y)) y (neg.f64 (fma.f64 (pow.f64 (sqrt.f64 1/2) 2) (log.f64 y) z)))
(-.f64 (*.f64 y (-.f64 1 (log.f64 y))) (fma.f64 (log.f64 y) 1/2 z))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 y z))
(+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (log.f64 y) (pow.f64 (sqrt.f64 1/2) 2))) (*.f64 1/4 (/.f64 (log.f64 y) (pow.f64 (sqrt.f64 1/2) 2)))) (pow.f64 y 2))) (*.f64 -1 (+.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (log.f64 y)) z))))
(fma.f64 (-.f64 1 (log.f64 y)) y (neg.f64 (fma.f64 (pow.f64 (sqrt.f64 1/2) 2) (log.f64 y) z)))
(-.f64 (*.f64 y (-.f64 1 (log.f64 y))) (fma.f64 (log.f64 y) 1/2 z))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 y z))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 1/8 (/.f64 (log.f64 y) (pow.f64 (sqrt.f64 1/2) 4))) (*.f64 -1/8 (/.f64 (log.f64 y) (pow.f64 (sqrt.f64 1/2) 4)))))) (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (log.f64 y) (pow.f64 (sqrt.f64 1/2) 2))) (*.f64 1/4 (/.f64 (log.f64 y) (pow.f64 (sqrt.f64 1/2) 2)))) (pow.f64 y 2))) (*.f64 -1 (+.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (log.f64 y)) z)))))
(fma.f64 (-.f64 1 (log.f64 y)) y (neg.f64 (fma.f64 (pow.f64 (sqrt.f64 1/2) 2) (log.f64 y) z)))
(-.f64 (*.f64 y (-.f64 1 (log.f64 y))) (fma.f64 (log.f64 y) 1/2 z))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 y z))
y
y
(-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 y (*.f64 (log.f64 y) (+.f64 1/2 y)))
(-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)
(-.f64 (+.f64 (*.f64 -1 z) y) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(fma.f64 (-.f64 1 (log.f64 y)) y (neg.f64 (fma.f64 (pow.f64 (sqrt.f64 1/2) 2) (log.f64 y) z)))
(-.f64 (*.f64 y (-.f64 1 (log.f64 y))) (fma.f64 (log.f64 y) 1/2 z))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 y z))
(-.f64 (+.f64 (*.f64 -1 z) y) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(fma.f64 (-.f64 1 (log.f64 y)) y (neg.f64 (fma.f64 (pow.f64 (sqrt.f64 1/2) 2) (log.f64 y) z)))
(-.f64 (*.f64 y (-.f64 1 (log.f64 y))) (fma.f64 (log.f64 y) 1/2 z))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 y z))
(-.f64 (+.f64 (*.f64 -1 z) y) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(fma.f64 (-.f64 1 (log.f64 y)) y (neg.f64 (fma.f64 (pow.f64 (sqrt.f64 1/2) 2) (log.f64 y) z)))
(-.f64 (*.f64 y (-.f64 1 (log.f64 y))) (fma.f64 (log.f64 y) 1/2 z))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 y z))
(*.f64 -1 z)
(neg.f64 z)
(-.f64 (+.f64 (*.f64 -1 z) y) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(fma.f64 (-.f64 1 (log.f64 y)) y (neg.f64 (fma.f64 (pow.f64 (sqrt.f64 1/2) 2) (log.f64 y) z)))
(-.f64 (*.f64 y (-.f64 1 (log.f64 y))) (fma.f64 (log.f64 y) 1/2 z))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 y z))
(-.f64 (+.f64 (*.f64 -1 z) y) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(fma.f64 (-.f64 1 (log.f64 y)) y (neg.f64 (fma.f64 (pow.f64 (sqrt.f64 1/2) 2) (log.f64 y) z)))
(-.f64 (*.f64 y (-.f64 1 (log.f64 y))) (fma.f64 (log.f64 y) 1/2 z))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 y z))
(-.f64 (+.f64 (*.f64 -1 z) y) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(fma.f64 (-.f64 1 (log.f64 y)) y (neg.f64 (fma.f64 (pow.f64 (sqrt.f64 1/2) 2) (log.f64 y) z)))
(-.f64 (*.f64 y (-.f64 1 (log.f64 y))) (fma.f64 (log.f64 y) 1/2 z))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 y z))
(*.f64 -1 z)
(neg.f64 z)
(-.f64 (+.f64 (*.f64 -1 z) y) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(fma.f64 (-.f64 1 (log.f64 y)) y (neg.f64 (fma.f64 (pow.f64 (sqrt.f64 1/2) 2) (log.f64 y) z)))
(-.f64 (*.f64 y (-.f64 1 (log.f64 y))) (fma.f64 (log.f64 y) 1/2 z))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 y z))
(-.f64 (+.f64 (*.f64 -1 z) y) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(fma.f64 (-.f64 1 (log.f64 y)) y (neg.f64 (fma.f64 (pow.f64 (sqrt.f64 1/2) 2) (log.f64 y) z)))
(-.f64 (*.f64 y (-.f64 1 (log.f64 y))) (fma.f64 (log.f64 y) 1/2 z))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 y z))
(-.f64 (+.f64 (*.f64 -1 z) y) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(fma.f64 (-.f64 1 (log.f64 y)) y (neg.f64 (fma.f64 (pow.f64 (sqrt.f64 1/2) 2) (log.f64 y) z)))
(-.f64 (*.f64 y (-.f64 1 (log.f64 y))) (fma.f64 (log.f64 y) 1/2 z))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 y z))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 1/2 (/.f64 y (sqrt.f64 1/2))))
(fma.f64 1/2 (/.f64 y (sqrt.f64 1/2)) (sqrt.f64 1/2))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 y 2) (pow.f64 (sqrt.f64 1/2) 3))) (*.f64 1/2 (/.f64 y (sqrt.f64 1/2)))))
(+.f64 (sqrt.f64 1/2) (fma.f64 -1/8 (/.f64 (*.f64 y y) (pow.f64 (sqrt.f64 1/2) 3)) (*.f64 1/2 (/.f64 y (sqrt.f64 1/2)))))
(+.f64 (sqrt.f64 1/2) (fma.f64 1/2 (/.f64 y (sqrt.f64 1/2)) (*.f64 -1/4 (/.f64 (*.f64 y y) (sqrt.f64 1/2)))))
(fma.f64 1/2 (/.f64 y (sqrt.f64 1/2)) (fma.f64 -1/4 (/.f64 y (/.f64 (sqrt.f64 1/2) y)) (sqrt.f64 1/2)))
(+.f64 (sqrt.f64 1/2) (*.f64 (/.f64 y (sqrt.f64 1/2)) (+.f64 1/2 (*.f64 (/.f64 y 1/2) -1/8))))
(+.f64 (*.f64 1/16 (/.f64 (pow.f64 y 3) (pow.f64 (sqrt.f64 1/2) 5))) (+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 y 2) (pow.f64 (sqrt.f64 1/2) 3))) (*.f64 1/2 (/.f64 y (sqrt.f64 1/2))))))
(fma.f64 1/16 (/.f64 (pow.f64 y 3) (pow.f64 (sqrt.f64 1/2) 5)) (+.f64 (sqrt.f64 1/2) (fma.f64 -1/8 (/.f64 (*.f64 y y) (pow.f64 (sqrt.f64 1/2) 3)) (*.f64 1/2 (/.f64 y (sqrt.f64 1/2))))))
(+.f64 (fma.f64 1/2 (/.f64 y (sqrt.f64 1/2)) (*.f64 -1/4 (/.f64 (*.f64 y y) (sqrt.f64 1/2)))) (fma.f64 1/16 (/.f64 (pow.f64 y 3) (pow.f64 (sqrt.f64 1/2) 5)) (sqrt.f64 1/2)))
(fma.f64 1/16 (/.f64 (pow.f64 y 3) (pow.f64 (sqrt.f64 1/2) 5)) (fma.f64 1/2 (/.f64 y (sqrt.f64 1/2)) (fma.f64 -1/4 (/.f64 y (/.f64 (sqrt.f64 1/2) y)) (sqrt.f64 1/2))))
(+.f64 (*.f64 (/.f64 y (sqrt.f64 1/2)) (+.f64 1/2 (*.f64 (/.f64 y 1/2) -1/8))) (fma.f64 1/16 (/.f64 (pow.f64 y 3) (pow.f64 (sqrt.f64 1/2) 5)) (sqrt.f64 1/2)))

localize4.0ms (0%)

Compiler

Compiled 8 to 4 computations (50% saved)

localize17.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiled 35 to 19 computations (45.7% saved)

series4.0ms (0%)

Counts
3 → 48
Calls

12 calls:

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

rewrite96.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
514×log-prod_binary64
479×fma-def_binary64
378×pow-prod-down_binary64
292×pow2_binary64
234×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0936
121236
2317036
Stop Event
node limit
Counts
3 → 208
Calls
Call 1
Inputs
(*.f64 (+.f64 1/2 y) (log.f64 y))
(-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y)))
(+.f64 x (-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y))))
Outputs
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(log.f64 y))) 2) (*.f64 y (*.f64 (+.f64 1/2 y) (neg.f64 (log.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (+.f64 1/2 y) (neg.f64 (log.f64 y))) 2)) (-.f64 y (*.f64 (+.f64 1/2 y) (neg.f64 (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) (fma.f64 (+.f64 1/2 y) (log.f64 y) y) (*.f64 y y)) (-.f64 (pow.f64 y 3) (pow.f64 (*.f64 (+.f64 1/2 y) 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(pow.f64 y (+.f64 1/2 y))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y))))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (/.f64 (exp.f64 y) (pow.f64 y (+.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 y x)) (exp.f64 (*.f64 (+.f64 1/2 y) (neg.f64 (log.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (*.f64 (exp.f64 x) (exp.f64 y)) (exp.f64 (*.f64 (+.f64 1/2 y) (neg.f64 (log.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 y x)) (pow.f64 y (+.f64 (neg.f64 y) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 y (fma.f64 (+.f64 1/2 y) (neg.f64 (log.f64 y)) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 y (fma.f64 (+.f64 1/2 y) (neg.f64 (log.f64 y)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 y (fma.f64 (+.f64 1/2 y) (neg.f64 (log.f64 y)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 y (fma.f64 (+.f64 1/2 y) (neg.f64 (log.f64 y)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 y (fma.f64 (+.f64 1/2 y) (neg.f64 (log.f64 y)) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 y (fma.f64 (+.f64 1/2 y) (neg.f64 (log.f64 y)) x)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 y (fma.f64 (+.f64 1/2 y) (neg.f64 (log.f64 y)) x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 y (fma.f64 (+.f64 1/2 y) (neg.f64 (log.f64 y)) x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 1 (fma.f64 (+.f64 1/2 y) (neg.f64 (log.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 1 (neg.f64 (-.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y))) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (fma.f64 (+.f64 1/2 y) (neg.f64 (log.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (neg.f64 (-.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 y x) (*.f64 (+.f64 1/2 y) (neg.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2) (fma.f64 (+.f64 1/2 y) (neg.f64 (log.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2) (neg.f64 (-.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (fma.f64 (+.f64 1/2 y) (neg.f64 (log.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (neg.f64 (-.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y)))) (pow.f64 (cbrt.f64 (-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y)))) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y)))) 2) (cbrt.f64 (-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (fma.f64 (+.f64 1/2 y) (neg.f64 (log.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (neg.f64 (-.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y)))) (sqrt.f64 (-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 y 3) (pow.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) 3)) (/.f64 1 (fma.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) (fma.f64 (+.f64 1/2 y) (log.f64 y) y) (*.f64 y y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) 2)) (/.f64 1 (fma.f64 (+.f64 1/2 y) (log.f64 y) y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) 2) (cbrt.f64 (+.f64 y x)) (*.f64 (+.f64 1/2 y) (neg.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (+.f64 y x)) (*.f64 (+.f64 1/2 y) (neg.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)))) (-.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)))) x)))))

simplify85.0ms (0.6%)

Algorithm
egg-herbie
Rules
852×fma-def_binary64
783×fma-neg_binary64
769×unsub-neg_binary64
467×sub-neg_binary64
426×distribute-neg-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
051596
1160572
2430484
31188484
43546484
56235484
Stop Event
node limit
Counts
256 → 233
Calls
Call 1
Inputs
(*.f64 1/2 (log.f64 y))
(+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))
(+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))
(+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y))
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y))
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y))
(*.f64 -1/2 (log.f64 y))
(+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) (*.f64 -1/2 (log.f64 y)))
(+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) (*.f64 -1/2 (log.f64 y)))
(+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) (*.f64 -1/2 (log.f64 y)))
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 1/2 (log.f64 (/.f64 1 y))))
(+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 1/2 (log.f64 (/.f64 1 y))))
(+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 1/2 (log.f64 (/.f64 1 y))))
(*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))))
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))))
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))))
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))))
(-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
x
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
x
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 x (*.f64 1/2 (log.f64 y)))
(-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) (*.f64 1/2 (log.f64 y)))
(-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) (*.f64 1/2 (log.f64 y)))
(-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) (*.f64 1/2 (log.f64 y)))
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(-.f64 (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(-.f64 (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(-.f64 (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))))
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
Outputs
(*.f64 1/2 (log.f64 y))
(+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))
(*.f64 (log.f64 y) (+.f64 1/2 y))
(*.f64 (log.f64 y) (-.f64 y -1/2))
(+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))
(*.f64 (log.f64 y) (+.f64 1/2 y))
(*.f64 (log.f64 y) (-.f64 y -1/2))
(+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))
(*.f64 (log.f64 y) (+.f64 1/2 y))
(*.f64 (log.f64 y) (-.f64 y -1/2))
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(*.f64 (log.f64 y) (+.f64 1/2 y))
(*.f64 (log.f64 y) (-.f64 y -1/2))
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(*.f64 (log.f64 y) (+.f64 1/2 y))
(*.f64 (log.f64 y) (-.f64 y -1/2))
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(*.f64 (log.f64 y) (+.f64 1/2 y))
(*.f64 (log.f64 y) (-.f64 y -1/2))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y))
(*.f64 (log.f64 y) (+.f64 1/2 y))
(*.f64 (log.f64 y) (-.f64 y -1/2))
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y))
(*.f64 (log.f64 y) (+.f64 1/2 y))
(*.f64 (log.f64 y) (-.f64 y -1/2))
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y))
(*.f64 (log.f64 y) (+.f64 1/2 y))
(*.f64 (log.f64 y) (-.f64 y -1/2))
(*.f64 -1/2 (log.f64 y))
(*.f64 (log.f64 y) -1/2)
(+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) (*.f64 -1/2 (log.f64 y)))
(fma.f64 (-.f64 1 (log.f64 y)) y (*.f64 (log.f64 y) -1/2))
(fma.f64 y (-.f64 1 (log.f64 y)) (*.f64 (log.f64 y) -1/2))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)
(+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) (*.f64 -1/2 (log.f64 y)))
(fma.f64 (-.f64 1 (log.f64 y)) y (*.f64 (log.f64 y) -1/2))
(fma.f64 y (-.f64 1 (log.f64 y)) (*.f64 (log.f64 y) -1/2))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)
(+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) (*.f64 -1/2 (log.f64 y)))
(fma.f64 (-.f64 1 (log.f64 y)) y (*.f64 (log.f64 y) -1/2))
(fma.f64 y (-.f64 1 (log.f64 y)) (*.f64 (log.f64 y) -1/2))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(*.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y)))))
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 1/2 (log.f64 (/.f64 1 y))))
(fma.f64 (-.f64 1 (log.f64 y)) y (*.f64 (log.f64 y) -1/2))
(fma.f64 y (-.f64 1 (log.f64 y)) (*.f64 (log.f64 y) -1/2))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)
(+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 1/2 (log.f64 (/.f64 1 y))))
(fma.f64 (-.f64 1 (log.f64 y)) y (*.f64 (log.f64 y) -1/2))
(fma.f64 y (-.f64 1 (log.f64 y)) (*.f64 (log.f64 y) -1/2))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)
(+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 1/2 (log.f64 (/.f64 1 y))))
(fma.f64 (-.f64 1 (log.f64 y)) y (*.f64 (log.f64 y) -1/2))
(fma.f64 y (-.f64 1 (log.f64 y)) (*.f64 (log.f64 y) -1/2))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)
(*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))))
(*.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y)))))
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))))
(fma.f64 (-.f64 1 (log.f64 y)) y (*.f64 (log.f64 y) -1/2))
(fma.f64 y (-.f64 1 (log.f64 y)) (*.f64 (log.f64 y) -1/2))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))))
(fma.f64 (-.f64 1 (log.f64 y)) y (*.f64 (log.f64 y) -1/2))
(fma.f64 y (-.f64 1 (log.f64 y)) (*.f64 (log.f64 y) -1/2))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))))
(fma.f64 (-.f64 1 (log.f64 y)) y (*.f64 (log.f64 y) -1/2))
(fma.f64 y (-.f64 1 (log.f64 y)) (*.f64 (log.f64 y) -1/2))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)
(-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y)))
(fma.f64 (-.f64 1 (log.f64 y)) y (*.f64 (log.f64 y) -1/2))
(fma.f64 y (-.f64 1 (log.f64 y)) (*.f64 (log.f64 y) -1/2))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
x
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
x
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(-.f64 x (*.f64 1/2 (log.f64 y)))
(+.f64 x (*.f64 (log.f64 y) -1/2))
(+.f64 (*.f64 (log.f64 y) -1/2) x)
(fma.f64 (log.f64 y) -1/2 x)
(-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) (*.f64 1/2 (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) (*.f64 1/2 (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(-.f64 (+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x) (*.f64 1/2 (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(*.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y)))))
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(-.f64 (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(-.f64 (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(-.f64 (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))))
(*.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y)))))
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))

localize45.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 x (/.f64 (*.f64 (fma.f64 y y -1/4) (log.f64 y)) (+.f64 y -1/2)))
0.1b
(*.f64 (fma.f64 y y -1/4) (log.f64 y))
0.1b
(+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y -1/4) (log.f64 y)) (+.f64 y -1/2))) y)
18.2b
(/.f64 (*.f64 (fma.f64 y y -1/4) (log.f64 y)) (+.f64 y -1/2))
Compiler

Compiled 80 to 43 computations (46.3% saved)

series9.0ms (0.1%)

Counts
4 → 72
Calls

18 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
(/.f64 (*.f64 (fma.f64 y y -1/4) (log.f64 y)) (+.f64 y -1/2))
1.0ms
y
@0
(/.f64 (*.f64 (fma.f64 y y -1/4) (log.f64 y)) (+.f64 y -1/2))
1.0ms
x
@0
(+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y -1/4) (log.f64 y)) (+.f64 y -1/2))) y)
1.0ms
y
@inf
(/.f64 (*.f64 (fma.f64 y y -1/4) (log.f64 y)) (+.f64 y -1/2))
0.0ms
y
@-inf
(*.f64 (fma.f64 y y -1/4) (log.f64 y))

rewrite113.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
688×log-prod_binary64
620×fma-def_binary64
334×fma-neg_binary64
256×expm1-udef_binary64
256×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01267
127846
2415946
Stop Event
node limit
Counts
4 → 234
Calls
Call 1
Inputs
(/.f64 (*.f64 (fma.f64 y y -1/4) (log.f64 y)) (+.f64 y -1/2))
(+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y -1/4) (log.f64 y)) (+.f64 y -1/2))) y)
(*.f64 (fma.f64 y y -1/4) (log.f64 y))
(-.f64 x (/.f64 (*.f64 (fma.f64 y y -1/4) (log.f64 y)) (+.f64 y -1/2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 y 1/2) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 y 1/2) (log.f64 y)))) (cbrt.f64 (exp.f64 (*.f64 (+.f64 y 1/2) (log.f64 y)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 y 1/2) (log.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 y 1/2) (log.f64 y))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 y 1/2) (log.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 y 1/2) (log.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y y -1/4) (/.f64 1 (/.f64 (+.f64 y -1/2) (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y y -1/4) (*.f64 (log.f64 y) (/.f64 1 (+.f64 y -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 y) (*.f64 (fma.f64 y y -1/4) (/.f64 1 (+.f64 y -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 y y -1/4) (log.f64 y)) (/.f64 1 (+.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 y 1/2) (log.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 y 1/2) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 y 1/2) (log.f64 y))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 y 1/2) (log.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 y 1/2) (log.f64 y))) 2) (cbrt.f64 (*.f64 (+.f64 y 1/2) (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 y y -1/4) (log.f64 y))) 2) (*.f64 (cbrt.f64 (*.f64 (fma.f64 y y -1/4) (log.f64 y))) (/.f64 1 (+.f64 y -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 y 1/2) (log.f64 y))) (sqrt.f64 (*.f64 (+.f64 y 1/2) (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (fma.f64 y y -1/4) (log.f64 y))) (*.f64 (sqrt.f64 (*.f64 (fma.f64 y y -1/4) (log.f64 y))) (/.f64 1 (+.f64 y -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 y) (neg.f64 (fma.f64 y y -1/4))) (/.f64 1 (+.f64 1/2 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 y -1/2)) (*.f64 (fma.f64 y y -1/4) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y 1/2) (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 y y -1/4) 1) (/.f64 (log.f64 y) (+.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 y) 1) (+.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 y y -1/4) (log.f64 y))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (fma.f64 y y -1/4) (log.f64 y))) (+.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (fma.f64 y y -1/4) (log.f64 y))) 1) (/.f64 (sqrt.f64 (*.f64 (fma.f64 y y -1/4) (log.f64 y))) (+.f64 y -1/2)))))) (#(struct:change #<rule 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simplify83.0ms (0.6%)

Algorithm
egg-herbie
Rules
713×unsub-neg_binary64
602×div-sub_binary64
395×fma-neg_binary64
287×associate-+l+_binary64
275×fma-def_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0781108
1249990
2709914
31982913
46436911
Stop Event
node limit
Counts
306 → 279
Calls
Call 1
Inputs
(*.f64 1/2 (log.f64 y))
(+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))
(+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))
(+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y))
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y))
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y))
(-.f64 y (/.f64 (*.f64 (-.f64 (pow.f64 y 2) 1/4) (log.f64 y)) (-.f64 y 1/2)))
(-.f64 (+.f64 y x) (/.f64 (*.f64 (log.f64 y) (-.f64 (pow.f64 y 2) 1/4)) (-.f64 y 1/2)))
(-.f64 (+.f64 y x) (/.f64 (*.f64 (log.f64 y) (-.f64 (pow.f64 y 2) 1/4)) (-.f64 y 1/2)))
(-.f64 (+.f64 y x) (/.f64 (*.f64 (log.f64 y) (-.f64 (pow.f64 y 2) 1/4)) (-.f64 y 1/2)))
x
(-.f64 (+.f64 y x) (/.f64 (*.f64 (log.f64 y) (-.f64 (pow.f64 y 2) 1/4)) (-.f64 y 1/2)))
(-.f64 (+.f64 y x) (/.f64 (*.f64 (log.f64 y) (-.f64 (pow.f64 y 2) 1/4)) (-.f64 y 1/2)))
(-.f64 (+.f64 y x) (/.f64 (*.f64 (log.f64 y) (-.f64 (pow.f64 y 2) 1/4)) (-.f64 y 1/2)))
x
(-.f64 (+.f64 y x) (/.f64 (*.f64 (-.f64 (pow.f64 y 2) 1/4) (log.f64 y)) (-.f64 y 1/2)))
(-.f64 (+.f64 y x) (/.f64 (*.f64 (-.f64 (pow.f64 y 2) 1/4) (log.f64 y)) (-.f64 y 1/2)))
(-.f64 (+.f64 y x) (/.f64 (*.f64 (-.f64 (pow.f64 y 2) 1/4) (log.f64 y)) (-.f64 y 1/2)))
(-.f64 x (*.f64 1/2 (log.f64 y)))
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) x) (*.f64 1/2 (log.f64 y)))
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) x) (*.f64 1/2 (log.f64 y)))
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) x) (*.f64 1/2 (log.f64 y)))
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 x (*.f64 1/2 (log.f64 (/.f64 1 y)))))
(+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 x (*.f64 1/2 (log.f64 (/.f64 1 y)))))
(+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 x (*.f64 1/2 (log.f64 (/.f64 1 y)))))
(*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))))
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(*.f64 -1/4 (log.f64 y))
(+.f64 (*.f64 (pow.f64 y 2) (log.f64 y)) (*.f64 -1/4 (log.f64 y)))
(+.f64 (*.f64 (pow.f64 y 2) (log.f64 y)) (*.f64 -1/4 (log.f64 y)))
(+.f64 (*.f64 (pow.f64 y 2) (log.f64 y)) (*.f64 -1/4 (log.f64 y)))
(*.f64 -1 (*.f64 (pow.f64 y 2) (log.f64 (/.f64 1 y))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (log.f64 (/.f64 1 y)))) (*.f64 1/4 (log.f64 (/.f64 1 y))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (log.f64 (/.f64 1 y)))) (*.f64 1/4 (log.f64 (/.f64 1 y))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (log.f64 (/.f64 1 y)))) (*.f64 1/4 (log.f64 (/.f64 1 y))))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (pow.f64 y 2))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (pow.f64 y 2)) (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (pow.f64 y 2)) (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (pow.f64 y 2)) (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(*.f64 -1 (/.f64 (*.f64 (log.f64 y) (-.f64 (pow.f64 y 2) 1/4)) (-.f64 y 1/2)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (log.f64 y) (-.f64 (pow.f64 y 2) 1/4)) (-.f64 y 1/2))) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (log.f64 y) (-.f64 (pow.f64 y 2) 1/4)) (-.f64 y 1/2))) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (log.f64 y) (-.f64 (pow.f64 y 2) 1/4)) (-.f64 y 1/2))) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 (log.f64 y) (-.f64 (pow.f64 y 2) 1/4)) (-.f64 y 1/2))) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (log.f64 y) (-.f64 (pow.f64 y 2) 1/4)) (-.f64 y 1/2))) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (log.f64 y) (-.f64 (pow.f64 y 2) 1/4)) (-.f64 y 1/2))) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (pow.f64 y 2) 1/4) (log.f64 y)) (-.f64 y 1/2))) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (pow.f64 y 2) 1/4) (log.f64 y)) (-.f64 y 1/2))) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (pow.f64 y 2) 1/4) (log.f64 y)) (-.f64 y 1/2))) x)
(-.f64 x (*.f64 1/2 (log.f64 y)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) x) (*.f64 1/2 (log.f64 y)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) x) (*.f64 1/2 (log.f64 y)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) x) (*.f64 1/2 (log.f64 y)))
(*.f64 y (log.f64 (/.f64 1 y)))
(+.f64 (*.f64 y (log.f64 (/.f64 1 y))) (+.f64 x (*.f64 1/2 (log.f64 (/.f64 1 y)))))
(+.f64 (*.f64 y (log.f64 (/.f64 1 y))) (+.f64 x (*.f64 1/2 (log.f64 (/.f64 1 y)))))
(+.f64 (*.f64 y (log.f64 (/.f64 1 y))) (+.f64 x (*.f64 1/2 (log.f64 (/.f64 1 y)))))
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
Outputs
(*.f64 1/2 (log.f64 y))
(log.f64 (sqrt.f64 y))
(+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))
(*.f64 (log.f64 y) (+.f64 1/2 y))
(+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))
(*.f64 (log.f64 y) (+.f64 1/2 y))
(+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))
(*.f64 (log.f64 y) (+.f64 1/2 y))
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(*.f64 (log.f64 y) (+.f64 1/2 y))
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(*.f64 (log.f64 y) (+.f64 1/2 y))
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(*.f64 (log.f64 y) (+.f64 1/2 y))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y))
(*.f64 (log.f64 y) (+.f64 1/2 y))
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y))
(*.f64 (log.f64 y) (+.f64 1/2 y))
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y))
(*.f64 (log.f64 y) (+.f64 1/2 y))
(-.f64 y (/.f64 (*.f64 (-.f64 (pow.f64 y 2) 1/4) (log.f64 y)) (-.f64 y 1/2)))
(-.f64 y (/.f64 (log.f64 y) (/.f64 (+.f64 y -1/2) (+.f64 (*.f64 y y) -1/4))))
(-.f64 y (/.f64 (log.f64 y) (/.f64 (+.f64 y -1/2) (fma.f64 y y -1/4))))
(-.f64 y (/.f64 (fma.f64 y y -1/4) (/.f64 (+.f64 y -1/2) (log.f64 y))))
(-.f64 y (*.f64 (log.f64 y) (/.f64 (fma.f64 y y -1/4) (+.f64 y -1/2))))
(+.f64 y (*.f64 (log.f64 y) (/.f64 (fma.f64 y y -1/4) (-.f64 1/2 y))))
(-.f64 (+.f64 y x) (/.f64 (*.f64 (log.f64 y) (-.f64 (pow.f64 y 2) 1/4)) (-.f64 y 1/2)))
(-.f64 (+.f64 y x) (/.f64 (log.f64 y) (/.f64 (+.f64 y -1/2) (+.f64 (*.f64 y y) -1/4))))
(-.f64 (+.f64 y x) (/.f64 (log.f64 y) (/.f64 (+.f64 y -1/2) (fma.f64 y y -1/4))))
(-.f64 (+.f64 y x) (/.f64 (fma.f64 y y -1/4) (/.f64 (+.f64 y -1/2) (log.f64 y))))
(-.f64 y (fma.f64 (fma.f64 y y -1/4) (/.f64 (log.f64 y) (+.f64 y -1/2)) (neg.f64 x)))
(+.f64 y (+.f64 x (*.f64 (log.f64 y) (/.f64 (fma.f64 y y -1/4) (-.f64 1/2 y)))))
(-.f64 (+.f64 y x) (/.f64 (*.f64 (log.f64 y) (-.f64 (pow.f64 y 2) 1/4)) (-.f64 y 1/2)))
(-.f64 (+.f64 y x) (/.f64 (log.f64 y) (/.f64 (+.f64 y -1/2) (+.f64 (*.f64 y y) -1/4))))
(-.f64 (+.f64 y x) (/.f64 (log.f64 y) (/.f64 (+.f64 y -1/2) (fma.f64 y y -1/4))))
(-.f64 (+.f64 y x) (/.f64 (fma.f64 y y -1/4) (/.f64 (+.f64 y -1/2) (log.f64 y))))
(-.f64 y (fma.f64 (fma.f64 y y -1/4) (/.f64 (log.f64 y) (+.f64 y -1/2)) (neg.f64 x)))
(+.f64 y (+.f64 x (*.f64 (log.f64 y) (/.f64 (fma.f64 y y -1/4) (-.f64 1/2 y)))))
(-.f64 (+.f64 y x) (/.f64 (*.f64 (log.f64 y) (-.f64 (pow.f64 y 2) 1/4)) (-.f64 y 1/2)))
(-.f64 (+.f64 y x) (/.f64 (log.f64 y) (/.f64 (+.f64 y -1/2) (+.f64 (*.f64 y y) -1/4))))
(-.f64 (+.f64 y x) (/.f64 (log.f64 y) (/.f64 (+.f64 y -1/2) (fma.f64 y y -1/4))))
(-.f64 (+.f64 y x) (/.f64 (fma.f64 y y -1/4) (/.f64 (+.f64 y -1/2) (log.f64 y))))
(-.f64 y (fma.f64 (fma.f64 y y -1/4) (/.f64 (log.f64 y) (+.f64 y -1/2)) (neg.f64 x)))
(+.f64 y (+.f64 x (*.f64 (log.f64 y) (/.f64 (fma.f64 y y -1/4) (-.f64 1/2 y)))))
x
(-.f64 (+.f64 y x) (/.f64 (*.f64 (log.f64 y) (-.f64 (pow.f64 y 2) 1/4)) (-.f64 y 1/2)))
(-.f64 (+.f64 y x) (/.f64 (log.f64 y) (/.f64 (+.f64 y -1/2) (+.f64 (*.f64 y y) -1/4))))
(-.f64 (+.f64 y x) (/.f64 (log.f64 y) (/.f64 (+.f64 y -1/2) (fma.f64 y y -1/4))))
(-.f64 (+.f64 y x) (/.f64 (fma.f64 y y -1/4) (/.f64 (+.f64 y -1/2) (log.f64 y))))
(-.f64 y (fma.f64 (fma.f64 y y -1/4) (/.f64 (log.f64 y) (+.f64 y -1/2)) (neg.f64 x)))
(+.f64 y (+.f64 x (*.f64 (log.f64 y) (/.f64 (fma.f64 y y -1/4) (-.f64 1/2 y)))))
(-.f64 (+.f64 y x) (/.f64 (*.f64 (log.f64 y) (-.f64 (pow.f64 y 2) 1/4)) (-.f64 y 1/2)))
(-.f64 (+.f64 y x) (/.f64 (log.f64 y) (/.f64 (+.f64 y -1/2) (+.f64 (*.f64 y y) -1/4))))
(-.f64 (+.f64 y x) (/.f64 (log.f64 y) (/.f64 (+.f64 y -1/2) (fma.f64 y y -1/4))))
(-.f64 (+.f64 y x) (/.f64 (fma.f64 y y -1/4) (/.f64 (+.f64 y -1/2) (log.f64 y))))
(-.f64 y (fma.f64 (fma.f64 y y -1/4) (/.f64 (log.f64 y) (+.f64 y -1/2)) (neg.f64 x)))
(+.f64 y (+.f64 x (*.f64 (log.f64 y) (/.f64 (fma.f64 y y -1/4) (-.f64 1/2 y)))))
(-.f64 (+.f64 y x) (/.f64 (*.f64 (log.f64 y) (-.f64 (pow.f64 y 2) 1/4)) (-.f64 y 1/2)))
(-.f64 (+.f64 y x) (/.f64 (log.f64 y) (/.f64 (+.f64 y -1/2) (+.f64 (*.f64 y y) -1/4))))
(-.f64 (+.f64 y x) (/.f64 (log.f64 y) (/.f64 (+.f64 y -1/2) (fma.f64 y y -1/4))))
(-.f64 (+.f64 y x) (/.f64 (fma.f64 y y -1/4) (/.f64 (+.f64 y -1/2) (log.f64 y))))
(-.f64 y (fma.f64 (fma.f64 y y -1/4) (/.f64 (log.f64 y) (+.f64 y -1/2)) (neg.f64 x)))
(+.f64 y (+.f64 x (*.f64 (log.f64 y) (/.f64 (fma.f64 y y -1/4) (-.f64 1/2 y)))))
x
(-.f64 (+.f64 y x) (/.f64 (*.f64 (-.f64 (pow.f64 y 2) 1/4) (log.f64 y)) (-.f64 y 1/2)))
(-.f64 (+.f64 y x) (/.f64 (log.f64 y) (/.f64 (+.f64 y -1/2) (+.f64 (*.f64 y y) -1/4))))
(-.f64 (+.f64 y x) (/.f64 (log.f64 y) (/.f64 (+.f64 y -1/2) (fma.f64 y y -1/4))))
(-.f64 (+.f64 y x) (/.f64 (fma.f64 y y -1/4) (/.f64 (+.f64 y -1/2) (log.f64 y))))
(-.f64 y (fma.f64 (fma.f64 y y -1/4) (/.f64 (log.f64 y) (+.f64 y -1/2)) (neg.f64 x)))
(+.f64 y (+.f64 x (*.f64 (log.f64 y) (/.f64 (fma.f64 y y -1/4) (-.f64 1/2 y)))))
(-.f64 (+.f64 y x) (/.f64 (*.f64 (-.f64 (pow.f64 y 2) 1/4) (log.f64 y)) (-.f64 y 1/2)))
(-.f64 (+.f64 y x) (/.f64 (log.f64 y) (/.f64 (+.f64 y -1/2) (+.f64 (*.f64 y y) -1/4))))
(-.f64 (+.f64 y x) (/.f64 (log.f64 y) (/.f64 (+.f64 y -1/2) (fma.f64 y y -1/4))))
(-.f64 (+.f64 y x) (/.f64 (fma.f64 y y -1/4) (/.f64 (+.f64 y -1/2) (log.f64 y))))
(-.f64 y (fma.f64 (fma.f64 y y -1/4) (/.f64 (log.f64 y) (+.f64 y -1/2)) (neg.f64 x)))
(+.f64 y (+.f64 x (*.f64 (log.f64 y) (/.f64 (fma.f64 y y -1/4) (-.f64 1/2 y)))))
(-.f64 (+.f64 y x) (/.f64 (*.f64 (-.f64 (pow.f64 y 2) 1/4) (log.f64 y)) (-.f64 y 1/2)))
(-.f64 (+.f64 y x) (/.f64 (log.f64 y) (/.f64 (+.f64 y -1/2) (+.f64 (*.f64 y y) -1/4))))
(-.f64 (+.f64 y x) (/.f64 (log.f64 y) (/.f64 (+.f64 y -1/2) (fma.f64 y y -1/4))))
(-.f64 (+.f64 y x) (/.f64 (fma.f64 y y -1/4) (/.f64 (+.f64 y -1/2) (log.f64 y))))
(-.f64 y (fma.f64 (fma.f64 y y -1/4) (/.f64 (log.f64 y) (+.f64 y -1/2)) (neg.f64 x)))
(+.f64 y (+.f64 x (*.f64 (log.f64 y) (/.f64 (fma.f64 y y -1/4) (-.f64 1/2 y)))))
(-.f64 x (*.f64 1/2 (log.f64 y)))
(+.f64 x (*.f64 -1/2 (log.f64 y)))
(fma.f64 1/2 (neg.f64 (log.f64 y)) x)
(fma.f64 (log.f64 y) -1/2 x)
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) x) (*.f64 1/2 (log.f64 y)))
(+.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) x) (*.f64 -1/2 (log.f64 y)))
(+.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x) (*.f64 (log.f64 y) -1/2))
(+.f64 y (+.f64 x (*.f64 (log.f64 y) (-.f64 -1/2 y))))
(+.f64 x (+.f64 y (*.f64 (log.f64 y) (-.f64 -1/2 y))))
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) x) (*.f64 1/2 (log.f64 y)))
(+.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) x) (*.f64 -1/2 (log.f64 y)))
(+.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x) (*.f64 (log.f64 y) -1/2))
(+.f64 y (+.f64 x (*.f64 (log.f64 y) (-.f64 -1/2 y))))
(+.f64 x (+.f64 y (*.f64 (log.f64 y) (-.f64 -1/2 y))))
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) x) (*.f64 1/2 (log.f64 y)))
(+.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) x) (*.f64 -1/2 (log.f64 y)))
(+.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x) (*.f64 (log.f64 y) -1/2))
(+.f64 y (+.f64 x (*.f64 (log.f64 y) (-.f64 -1/2 y))))
(+.f64 x (+.f64 y (*.f64 (log.f64 y) (-.f64 -1/2 y))))
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(*.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y)))))
(*.f64 y (-.f64 1 (log.f64 y)))
(fma.f64 y (neg.f64 (log.f64 y)) y)
(-.f64 y (*.f64 y (log.f64 y)))
(+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 x (*.f64 1/2 (log.f64 (/.f64 1 y)))))
(+.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) x) (*.f64 -1/2 (log.f64 y)))
(+.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x) (*.f64 (log.f64 y) -1/2))
(+.f64 y (+.f64 x (*.f64 (log.f64 y) (-.f64 -1/2 y))))
(+.f64 x (+.f64 y (*.f64 (log.f64 y) (-.f64 -1/2 y))))
(+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 x (*.f64 1/2 (log.f64 (/.f64 1 y)))))
(+.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) x) (*.f64 -1/2 (log.f64 y)))
(+.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x) (*.f64 (log.f64 y) -1/2))
(+.f64 y (+.f64 x (*.f64 (log.f64 y) (-.f64 -1/2 y))))
(+.f64 x (+.f64 y (*.f64 (log.f64 y) (-.f64 -1/2 y))))
(+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 x (*.f64 1/2 (log.f64 (/.f64 1 y)))))
(+.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) x) (*.f64 -1/2 (log.f64 y)))
(+.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x) (*.f64 (log.f64 y) -1/2))
(+.f64 y (+.f64 x (*.f64 (log.f64 y) (-.f64 -1/2 y))))
(+.f64 x (+.f64 y (*.f64 (log.f64 y) (-.f64 -1/2 y))))
(*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))))
(*.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y)))))
(*.f64 y (-.f64 1 (log.f64 y)))
(fma.f64 y (neg.f64 (log.f64 y)) y)
(-.f64 y (*.f64 y (log.f64 y)))
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(+.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) x) (*.f64 -1/2 (log.f64 y)))
(+.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x) (*.f64 (log.f64 y) -1/2))
(+.f64 y (+.f64 x (*.f64 (log.f64 y) (-.f64 -1/2 y))))
(+.f64 x (+.f64 y (*.f64 (log.f64 y) (-.f64 -1/2 y))))
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(+.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) x) (*.f64 -1/2 (log.f64 y)))
(+.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x) (*.f64 (log.f64 y) -1/2))
(+.f64 y (+.f64 x (*.f64 (log.f64 y) (-.f64 -1/2 y))))
(+.f64 x (+.f64 y (*.f64 (log.f64 y) (-.f64 -1/2 y))))
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(+.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) x) (*.f64 -1/2 (log.f64 y)))
(+.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x) (*.f64 (log.f64 y) -1/2))
(+.f64 y (+.f64 x (*.f64 (log.f64 y) (-.f64 -1/2 y))))
(+.f64 x (+.f64 y (*.f64 (log.f64 y) (-.f64 -1/2 y))))
(*.f64 -1/4 (log.f64 y))
(*.f64 (log.f64 y) -1/4)
(+.f64 (*.f64 (pow.f64 y 2) (log.f64 y)) (*.f64 -1/4 (log.f64 y)))
(*.f64 (log.f64 y) (+.f64 (*.f64 y y) -1/4))
(*.f64 (log.f64 y) (fma.f64 y y -1/4))
(+.f64 (*.f64 (pow.f64 y 2) (log.f64 y)) (*.f64 -1/4 (log.f64 y)))
(*.f64 (log.f64 y) (+.f64 (*.f64 y y) -1/4))
(*.f64 (log.f64 y) (fma.f64 y y -1/4))
(+.f64 (*.f64 (pow.f64 y 2) (log.f64 y)) (*.f64 -1/4 (log.f64 y)))
(*.f64 (log.f64 y) (+.f64 (*.f64 y y) -1/4))
(*.f64 (log.f64 y) (fma.f64 y y -1/4))
(*.f64 -1 (*.f64 (pow.f64 y 2) (log.f64 (/.f64 1 y))))
(neg.f64 (*.f64 (neg.f64 (log.f64 y)) (*.f64 y y)))
(*.f64 y (*.f64 y (log.f64 y)))
(*.f64 (log.f64 y) (*.f64 y y))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (log.f64 (/.f64 1 y)))) (*.f64 1/4 (log.f64 (/.f64 1 y))))
(*.f64 (log.f64 y) (+.f64 (*.f64 y y) -1/4))
(*.f64 (log.f64 y) (fma.f64 y y -1/4))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (log.f64 (/.f64 1 y)))) (*.f64 1/4 (log.f64 (/.f64 1 y))))
(*.f64 (log.f64 y) (+.f64 (*.f64 y y) -1/4))
(*.f64 (log.f64 y) (fma.f64 y y -1/4))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) (log.f64 (/.f64 1 y)))) (*.f64 1/4 (log.f64 (/.f64 1 y))))
(*.f64 (log.f64 y) (+.f64 (*.f64 y y) -1/4))
(*.f64 (log.f64 y) (fma.f64 y y -1/4))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (pow.f64 y 2))
(neg.f64 (*.f64 (neg.f64 (log.f64 y)) (*.f64 y y)))
(*.f64 y (*.f64 y (log.f64 y)))
(*.f64 (log.f64 y) (*.f64 y y))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (pow.f64 y 2)) (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(*.f64 (log.f64 y) (+.f64 (*.f64 y y) -1/4))
(*.f64 (log.f64 y) (fma.f64 y y -1/4))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (pow.f64 y 2)) (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(*.f64 (log.f64 y) (+.f64 (*.f64 y y) -1/4))
(*.f64 (log.f64 y) (fma.f64 y y -1/4))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (pow.f64 y 2)) (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(*.f64 (log.f64 y) (+.f64 (*.f64 y y) -1/4))
(*.f64 (log.f64 y) (fma.f64 y y -1/4))
(*.f64 -1 (/.f64 (*.f64 (log.f64 y) (-.f64 (pow.f64 y 2) 1/4)) (-.f64 y 1/2)))
(neg.f64 (/.f64 (log.f64 y) (/.f64 (+.f64 y -1/2) (+.f64 (*.f64 y y) -1/4))))
(/.f64 (neg.f64 (log.f64 y)) (/.f64 (+.f64 y -1/2) (fma.f64 y y -1/4)))
(*.f64 (/.f64 (neg.f64 (log.f64 y)) (+.f64 y -1/2)) (fma.f64 y y -1/4))
(*.f64 (log.f64 y) (/.f64 (fma.f64 y y -1/4) (-.f64 (neg.f64 y) -1/2)))
(*.f64 (log.f64 y) (/.f64 (fma.f64 y y -1/4) (-.f64 1/2 y)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (log.f64 y) (-.f64 (pow.f64 y 2) 1/4)) (-.f64 y 1/2))) x)
(fma.f64 -1 (/.f64 (log.f64 y) (/.f64 (+.f64 y -1/2) (+.f64 (*.f64 y y) -1/4))) x)
(-.f64 x (/.f64 (log.f64 y) (/.f64 (+.f64 y -1/2) (fma.f64 y y -1/4))))
(-.f64 x (/.f64 (fma.f64 y y -1/4) (/.f64 (+.f64 y -1/2) (log.f64 y))))
(-.f64 x (*.f64 (log.f64 y) (/.f64 (fma.f64 y y -1/4) (+.f64 y -1/2))))
(+.f64 x (*.f64 (log.f64 y) (/.f64 (fma.f64 y y -1/4) (-.f64 1/2 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (log.f64 y) (-.f64 (pow.f64 y 2) 1/4)) (-.f64 y 1/2))) x)
(fma.f64 -1 (/.f64 (log.f64 y) (/.f64 (+.f64 y -1/2) (+.f64 (*.f64 y y) -1/4))) x)
(-.f64 x (/.f64 (log.f64 y) (/.f64 (+.f64 y -1/2) (fma.f64 y y -1/4))))
(-.f64 x (/.f64 (fma.f64 y y -1/4) (/.f64 (+.f64 y -1/2) (log.f64 y))))
(-.f64 x (*.f64 (log.f64 y) (/.f64 (fma.f64 y y -1/4) (+.f64 y -1/2))))
(+.f64 x (*.f64 (log.f64 y) (/.f64 (fma.f64 y y -1/4) (-.f64 1/2 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (log.f64 y) (-.f64 (pow.f64 y 2) 1/4)) (-.f64 y 1/2))) x)
(fma.f64 -1 (/.f64 (log.f64 y) (/.f64 (+.f64 y -1/2) (+.f64 (*.f64 y y) -1/4))) x)
(-.f64 x (/.f64 (log.f64 y) (/.f64 (+.f64 y -1/2) (fma.f64 y y -1/4))))
(-.f64 x (/.f64 (fma.f64 y y -1/4) (/.f64 (+.f64 y -1/2) (log.f64 y))))
(-.f64 x (*.f64 (log.f64 y) (/.f64 (fma.f64 y y -1/4) (+.f64 y -1/2))))
(+.f64 x (*.f64 (log.f64 y) (/.f64 (fma.f64 y y -1/4) (-.f64 1/2 y))))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 (log.f64 y) (-.f64 (pow.f64 y 2) 1/4)) (-.f64 y 1/2))) x)
(fma.f64 -1 (/.f64 (log.f64 y) (/.f64 (+.f64 y -1/2) (+.f64 (*.f64 y y) -1/4))) x)
(-.f64 x (/.f64 (log.f64 y) (/.f64 (+.f64 y -1/2) (fma.f64 y y -1/4))))
(-.f64 x (/.f64 (fma.f64 y y -1/4) (/.f64 (+.f64 y -1/2) (log.f64 y))))
(-.f64 x (*.f64 (log.f64 y) (/.f64 (fma.f64 y y -1/4) (+.f64 y -1/2))))
(+.f64 x (*.f64 (log.f64 y) (/.f64 (fma.f64 y y -1/4) (-.f64 1/2 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (log.f64 y) (-.f64 (pow.f64 y 2) 1/4)) (-.f64 y 1/2))) x)
(fma.f64 -1 (/.f64 (log.f64 y) (/.f64 (+.f64 y -1/2) (+.f64 (*.f64 y y) -1/4))) x)
(-.f64 x (/.f64 (log.f64 y) (/.f64 (+.f64 y -1/2) (fma.f64 y y -1/4))))
(-.f64 x (/.f64 (fma.f64 y y -1/4) (/.f64 (+.f64 y -1/2) (log.f64 y))))
(-.f64 x (*.f64 (log.f64 y) (/.f64 (fma.f64 y y -1/4) (+.f64 y -1/2))))
(+.f64 x (*.f64 (log.f64 y) (/.f64 (fma.f64 y y -1/4) (-.f64 1/2 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (log.f64 y) (-.f64 (pow.f64 y 2) 1/4)) (-.f64 y 1/2))) x)
(fma.f64 -1 (/.f64 (log.f64 y) (/.f64 (+.f64 y -1/2) (+.f64 (*.f64 y y) -1/4))) x)
(-.f64 x (/.f64 (log.f64 y) (/.f64 (+.f64 y -1/2) (fma.f64 y y -1/4))))
(-.f64 x (/.f64 (fma.f64 y y -1/4) (/.f64 (+.f64 y -1/2) (log.f64 y))))
(-.f64 x (*.f64 (log.f64 y) (/.f64 (fma.f64 y y -1/4) (+.f64 y -1/2))))
(+.f64 x (*.f64 (log.f64 y) (/.f64 (fma.f64 y y -1/4) (-.f64 1/2 y))))
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (pow.f64 y 2) 1/4) (log.f64 y)) (-.f64 y 1/2))) x)
(fma.f64 -1 (/.f64 (log.f64 y) (/.f64 (+.f64 y -1/2) (+.f64 (*.f64 y y) -1/4))) x)
(-.f64 x (/.f64 (log.f64 y) (/.f64 (+.f64 y -1/2) (fma.f64 y y -1/4))))
(-.f64 x (/.f64 (fma.f64 y y -1/4) (/.f64 (+.f64 y -1/2) (log.f64 y))))
(-.f64 x (*.f64 (log.f64 y) (/.f64 (fma.f64 y y -1/4) (+.f64 y -1/2))))
(+.f64 x (*.f64 (log.f64 y) (/.f64 (fma.f64 y y -1/4) (-.f64 1/2 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (pow.f64 y 2) 1/4) (log.f64 y)) (-.f64 y 1/2))) x)
(fma.f64 -1 (/.f64 (log.f64 y) (/.f64 (+.f64 y -1/2) (+.f64 (*.f64 y y) -1/4))) x)
(-.f64 x (/.f64 (log.f64 y) (/.f64 (+.f64 y -1/2) (fma.f64 y y -1/4))))
(-.f64 x (/.f64 (fma.f64 y y -1/4) (/.f64 (+.f64 y -1/2) (log.f64 y))))
(-.f64 x (*.f64 (log.f64 y) (/.f64 (fma.f64 y y -1/4) (+.f64 y -1/2))))
(+.f64 x (*.f64 (log.f64 y) (/.f64 (fma.f64 y y -1/4) (-.f64 1/2 y))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (pow.f64 y 2) 1/4) (log.f64 y)) (-.f64 y 1/2))) x)
(fma.f64 -1 (/.f64 (log.f64 y) (/.f64 (+.f64 y -1/2) (+.f64 (*.f64 y y) -1/4))) x)
(-.f64 x (/.f64 (log.f64 y) (/.f64 (+.f64 y -1/2) (fma.f64 y y -1/4))))
(-.f64 x (/.f64 (fma.f64 y y -1/4) (/.f64 (+.f64 y -1/2) (log.f64 y))))
(-.f64 x (*.f64 (log.f64 y) (/.f64 (fma.f64 y y -1/4) (+.f64 y -1/2))))
(+.f64 x (*.f64 (log.f64 y) (/.f64 (fma.f64 y y -1/4) (-.f64 1/2 y))))
(-.f64 x (*.f64 1/2 (log.f64 y)))
(+.f64 x (*.f64 -1/2 (log.f64 y)))
(fma.f64 1/2 (neg.f64 (log.f64 y)) x)
(fma.f64 (log.f64 y) -1/2 x)
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) x) (*.f64 1/2 (log.f64 y)))
(+.f64 (fma.f64 -1 (*.f64 y (log.f64 y)) x) (*.f64 -1/2 (log.f64 y)))
(+.f64 (*.f64 (log.f64 y) -1/2) (-.f64 x (*.f64 y (log.f64 y))))
(+.f64 x (*.f64 (log.f64 y) (-.f64 -1/2 y)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) x) (*.f64 1/2 (log.f64 y)))
(+.f64 (fma.f64 -1 (*.f64 y (log.f64 y)) x) (*.f64 -1/2 (log.f64 y)))
(+.f64 (*.f64 (log.f64 y) -1/2) (-.f64 x (*.f64 y (log.f64 y))))
(+.f64 x (*.f64 (log.f64 y) (-.f64 -1/2 y)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) x) (*.f64 1/2 (log.f64 y)))
(+.f64 (fma.f64 -1 (*.f64 y (log.f64 y)) x) (*.f64 -1/2 (log.f64 y)))
(+.f64 (*.f64 (log.f64 y) -1/2) (-.f64 x (*.f64 y (log.f64 y))))
(+.f64 x (*.f64 (log.f64 y) (-.f64 -1/2 y)))
(*.f64 y (log.f64 (/.f64 1 y)))
(*.f64 y (neg.f64 (log.f64 y)))
(+.f64 (*.f64 y (log.f64 (/.f64 1 y))) (+.f64 x (*.f64 1/2 (log.f64 (/.f64 1 y)))))
(+.f64 (fma.f64 -1 (*.f64 y (log.f64 y)) x) (*.f64 -1/2 (log.f64 y)))
(+.f64 (*.f64 (log.f64 y) -1/2) (-.f64 x (*.f64 y (log.f64 y))))
(+.f64 x (*.f64 (log.f64 y) (-.f64 -1/2 y)))
(+.f64 (*.f64 y (log.f64 (/.f64 1 y))) (+.f64 x (*.f64 1/2 (log.f64 (/.f64 1 y)))))
(+.f64 (fma.f64 -1 (*.f64 y (log.f64 y)) x) (*.f64 -1/2 (log.f64 y)))
(+.f64 (*.f64 (log.f64 y) -1/2) (-.f64 x (*.f64 y (log.f64 y))))
(+.f64 x (*.f64 (log.f64 y) (-.f64 -1/2 y)))
(+.f64 (*.f64 y (log.f64 (/.f64 1 y))) (+.f64 x (*.f64 1/2 (log.f64 (/.f64 1 y)))))
(+.f64 (fma.f64 -1 (*.f64 y (log.f64 y)) x) (*.f64 -1/2 (log.f64 y)))
(+.f64 (*.f64 (log.f64 y) -1/2) (-.f64 x (*.f64 y (log.f64 y))))
(+.f64 x (*.f64 (log.f64 y) (-.f64 -1/2 y)))
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(*.f64 y (neg.f64 (log.f64 y)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(+.f64 (fma.f64 -1 (*.f64 y (log.f64 y)) x) (*.f64 -1/2 (log.f64 y)))
(+.f64 (*.f64 (log.f64 y) -1/2) (-.f64 x (*.f64 y (log.f64 y))))
(+.f64 x (*.f64 (log.f64 y) (-.f64 -1/2 y)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(+.f64 (fma.f64 -1 (*.f64 y (log.f64 y)) x) (*.f64 -1/2 (log.f64 y)))
(+.f64 (*.f64 (log.f64 y) -1/2) (-.f64 x (*.f64 y (log.f64 y))))
(+.f64 x (*.f64 (log.f64 y) (-.f64 -1/2 y)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(+.f64 (fma.f64 -1 (*.f64 y (log.f64 y)) x) (*.f64 -1/2 (log.f64 y)))
(+.f64 (*.f64 (log.f64 y) -1/2) (-.f64 x (*.f64 y (log.f64 y))))
(+.f64 x (*.f64 (log.f64 y) (-.f64 -1/2 y)))

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))
0.1b
(fma.f64 (log.f64 y) (-.f64 -1/2 y) x)
0.5b
(cbrt.f64 (+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)))
0.7b
(pow.f64 (cbrt.f64 (+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))) 3)
Compiler

Compiled 65 to 35 computations (46.2% saved)

series22.0ms (0.2%)

Counts
3 → 40
Calls

18 calls:

TimeVariablePointExpression
5.0ms
x
@0
(pow.f64 (cbrt.f64 (+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))) 3)
4.0ms
y
@0
(pow.f64 (cbrt.f64 (+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))) 3)
4.0ms
x
@0
(cbrt.f64 (+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)))
1.0ms
x
@inf
(pow.f64 (cbrt.f64 (+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))) 3)
1.0ms
y
@0
(cbrt.f64 (+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)))

rewrite92.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
622×prod-diff_binary64
468×log-prod_binary64
332×pow-prod-down_binary64
284×pow2_binary64
261×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01141
124541
2291941
Stop Event
node limit
Counts
3 → 156
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))) 3)
(cbrt.f64 (+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)))
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x) y)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 y (*.f64 (log.f64 y) (-.f64 -1/2 y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 y (fma.f64 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(*.f64 (sqrt.f64 (log.f64 y)) (-.f64 -1/2 y)) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) (sqrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y))) 2) (cbrt.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y))) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y))) (sqrt.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y))) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2)) (cbrt.f64 (-.f64 -1/2 y)) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log.f64 y) (sqrt.f64 (-.f64 -1/2 y))) (sqrt.f64 (-.f64 -1/2 y)) (+.f64 x y))))))

simplify84.0ms (0.6%)

Algorithm
egg-herbie
Rules
887×distribute-rgt-in_binary64
884×distribute-lft-in_binary64
667×associate-+l+_binary64
284×associate-*r*_binary64
246×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02042835
17542494
230552188
Stop Event
node limit
Counts
196 → 146
Calls
Call 1
Inputs
(*.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) (pow.f64 1 1/3))
(+.f64 (*.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) (pow.f64 1 1/3)) (*.f64 y (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) 4) 1) 1/9) (+.f64 1 (*.f64 -1 (log.f64 y))))) (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) 4) 1) 1/9) (+.f64 1 (*.f64 -1 (log.f64 y))))))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) (pow.f64 1 1/3)) (+.f64 (*.f64 y (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) 4) 1) 1/9) (+.f64 1 (*.f64 -1 (log.f64 y))))) (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) 4) 1) 1/9) (+.f64 1 (*.f64 -1 (log.f64 y))))))) (*.f64 (pow.f64 y 2) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (+.f64 (*.f64 -1/2 (log.f64 y)) x)) 1/9) (pow.f64 (+.f64 1 (*.f64 -1 (log.f64 y))) 2))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (+.f64 (*.f64 -1/2 (log.f64 y)) x)) 1/9) (pow.f64 (+.f64 1 (*.f64 -1 (log.f64 y))) 2))) (*.f64 (pow.f64 (*.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) 1) 1/3) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) 4)) 1/9) (pow.f64 (+.f64 1 (*.f64 -1 (log.f64 y))) 2))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) 4)) 1/9) (pow.f64 (+.f64 1 (*.f64 -1 (log.f64 y))) 2))))))))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) (pow.f64 1 1/3)) (+.f64 (*.f64 y (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) 4) 1) 1/9) (+.f64 1 (*.f64 -1 (log.f64 y))))) (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) 4) 1) 1/9) (+.f64 1 (*.f64 -1 (log.f64 y))))))) (+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 (pow.f64 (*.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) 1) 1/3) (+.f64 (*.f64 -2/27 (*.f64 (/.f64 (pow.f64 (+.f64 1 (*.f64 -1 (log.f64 y))) 3) (+.f64 (*.f64 -1/2 (log.f64 y)) x)) (pow.f64 1 1/9))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (*.f64 -1/2 (log.f64 y)) x)) 1/3) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) 2)) 1/3) (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (+.f64 1 (*.f64 -1 (log.f64 y))) 3)))) (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) 2)) 1/3) (pow.f64 (+.f64 1 (*.f64 -1 (log.f64 y))) 3)))))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) 2)) 1/9) (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) 4)) 1/9) (pow.f64 (+.f64 1 (*.f64 -1 (log.f64 y))) 2))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) 4)) 1/9) (pow.f64 (+.f64 1 (*.f64 -1 (log.f64 y))) 2)))) (+.f64 1 (*.f64 -1 (log.f64 y)))))) (+.f64 (*.f64 -2/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) 2)) 1/3) (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (+.f64 1 (*.f64 -1 (log.f64 y))) 3)))) (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) 2)) 1/3) (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (+.f64 1 (*.f64 -1 (log.f64 y))) 3)))) (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) 2)) 1/3) (pow.f64 (+.f64 1 (*.f64 -1 (log.f64 y))) 3)))))))))) (*.f64 (pow.f64 y 2) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (+.f64 (*.f64 -1/2 (log.f64 y)) x)) 1/9) (pow.f64 (+.f64 1 (*.f64 -1 (log.f64 y))) 2))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (+.f64 (*.f64 -1/2 (log.f64 y)) x)) 1/9) (pow.f64 (+.f64 1 (*.f64 -1 (log.f64 y))) 2))) (*.f64 (pow.f64 (*.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) 1) 1/3) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) 4)) 1/9) (pow.f64 (+.f64 1 (*.f64 -1 (log.f64 y))) 2))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) 4)) 1/9) (pow.f64 (+.f64 1 (*.f64 -1 (log.f64 y))) 2)))))))))))
(*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y))
(+.f64 (*.f64 (+.f64 (*.f64 2/3 (pow.f64 (*.f64 1 (pow.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y) 4)) 1/9)) (*.f64 1/3 (pow.f64 (*.f64 1 (pow.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y) 4)) 1/9))) x) (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y)))
(+.f64 (*.f64 (+.f64 (*.f64 2/9 (pow.f64 (/.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y)) 1/9)) (+.f64 (*.f64 (pow.f64 (*.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y)) 1/3) (+.f64 (*.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y) 4)) 1/9)) (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y) 4)) 1/9)))) (*.f64 -1/9 (pow.f64 (/.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y)) 1/9)))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 2/3 (pow.f64 (*.f64 1 (pow.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y) 4)) 1/9)) (*.f64 1/3 (pow.f64 (*.f64 1 (pow.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y) 4)) 1/9))) x) (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y) 2)) 1/3))) (*.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y) 2)) 1/3))))) (+.f64 (*.f64 -2/27 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y) 2)) 1/3))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y) 2)) 1/9) (+.f64 (*.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y) 4)) 1/9)) (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y) 4)) 1/9))))) (*.f64 (pow.f64 (*.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y)) 1/3) (+.f64 (*.f64 -2/27 (*.f64 (pow.f64 1 1/9) (/.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y)))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y)) 1/3) (+.f64 (*.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y) 2)) 1/3)) (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y) 2)) 1/3))))))))))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (*.f64 2/9 (pow.f64 (/.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y)) 1/9)) (+.f64 (*.f64 (pow.f64 (*.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y)) 1/3) (+.f64 (*.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y) 4)) 1/9)) (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y) 4)) 1/9)))) (*.f64 -1/9 (pow.f64 (/.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y)) 1/9)))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 2/3 (pow.f64 (*.f64 1 (pow.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y) 4)) 1/9)) (*.f64 1/3 (pow.f64 (*.f64 1 (pow.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y) 4)) 1/9))) x) (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y)))))
(pow.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) 1/3)
(+.f64 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) 1/3) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) 2)) 1/9) (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))))))
(+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) 7)) 1/9) (*.f64 (pow.f64 y 2) (pow.f64 (+.f64 1 (*.f64 -1 (log.f64 y))) 2)))) (+.f64 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) 1/3) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) 2)) 1/9) (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y))))))))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) 2)) 1/3) (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) 2)) 1/3) (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (+.f64 1 (*.f64 -1 (log.f64 y))) 3)))) (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) 2)) 1/3) (pow.f64 (+.f64 1 (*.f64 -1 (log.f64 y))) 3))))))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) 7)) 1/9) (*.f64 (pow.f64 y 2) (pow.f64 (+.f64 1 (*.f64 -1 (log.f64 y))) 2)))) (+.f64 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) 1/3) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) 2)) 1/9) (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))))))))
(pow.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y) 1/3)
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y) 2)) 1/9) x)) (pow.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y) 1/3))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y) 2)) 1/9) x)) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y) 7)) 1/9) (pow.f64 x 2))) (pow.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y) 1/3)))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y) 2)) 1/9) x)) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y) 7)) 1/9) (pow.f64 x 2))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y) 2)) 1/3) (*.f64 (pow.f64 x 3) (+.f64 (*.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y) 2)) 1/3)) (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y) 2)) 1/3))))))) (pow.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y) 1/3))))
(+.f64 (*.f64 -1/2 (log.f64 y)) x)
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x))
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x))
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x))
(*.f64 y (+.f64 1 (log.f64 (/.f64 1 y))))
(+.f64 x (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y))))))
(+.f64 x (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y))))))
(+.f64 x (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y))))))
(*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1)))
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1))) x))
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1))) x))
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1))) x))
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y)
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))
x
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))
x
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))
Outputs
(*.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) (pow.f64 1 1/3))
(fma.f64 -1/2 (log.f64 y) x)
(+.f64 (*.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) (pow.f64 1 1/3)) (*.f64 y (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) 4) 1) 1/9) (+.f64 1 (*.f64 -1 (log.f64 y))))) (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) 4) 1) 1/9) (+.f64 1 (*.f64 -1 (log.f64 y))))))))
(+.f64 (fma.f64 -1/2 (log.f64 y) x) (*.f64 y (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 -1/2 (log.f64 y) x) 4) 1/18) (pow.f64 (pow.f64 (fma.f64 -1/2 (log.f64 y) x) 4) 1/18)) (+.f64 1 (neg.f64 (log.f64 y)))) 1)))
(fma.f64 y (*.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 -1/2 (log.f64 y) x) 4) 1/18) (pow.f64 (pow.f64 (fma.f64 -1/2 (log.f64 y) x) 4) 1/18)) (-.f64 1 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x))
(+.f64 (*.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) (pow.f64 1 1/3)) (+.f64 (*.f64 y (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) 4) 1) 1/9) (+.f64 1 (*.f64 -1 (log.f64 y))))) (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) 4) 1) 1/9) (+.f64 1 (*.f64 -1 (log.f64 y))))))) (*.f64 (pow.f64 y 2) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (+.f64 (*.f64 -1/2 (log.f64 y)) x)) 1/9) (pow.f64 (+.f64 1 (*.f64 -1 (log.f64 y))) 2))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (+.f64 (*.f64 -1/2 (log.f64 y)) x)) 1/9) (pow.f64 (+.f64 1 (*.f64 -1 (log.f64 y))) 2))) (*.f64 (pow.f64 (*.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) 1) 1/3) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) 4)) 1/9) (pow.f64 (+.f64 1 (*.f64 -1 (log.f64 y))) 2))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) 4)) 1/9) (pow.f64 (+.f64 1 (*.f64 -1 (log.f64 y))) 2))))))))))
(+.f64 (fma.f64 -1/2 (log.f64 y) x) (fma.f64 y (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 -1/2 (log.f64 y) x) 4) 1/18) (pow.f64 (pow.f64 (fma.f64 -1/2 (log.f64 y) x) 4) 1/18)) (+.f64 1 (neg.f64 (log.f64 y)))) 1) (*.f64 (*.f64 y y) (fma.f64 2/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (fma.f64 -1/2 (log.f64 y) x)) 1/18) (pow.f64 (/.f64 1 (fma.f64 -1/2 (log.f64 y) x)) 1/18)) (pow.f64 (+.f64 1 (neg.f64 (log.f64 y))) 2)) (fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (fma.f64 -1/2 (log.f64 y) x)) 1/18) (pow.f64 (/.f64 1 (fma.f64 -1/2 (log.f64 y) x)) 1/18)) (pow.f64 (+.f64 1 (neg.f64 (log.f64 y))) 2)) (*.f64 (cbrt.f64 (fma.f64 -1/2 (log.f64 y) x)) (*.f64 (*.f64 (pow.f64 (+.f64 1 (neg.f64 (log.f64 y))) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (log.f64 y) x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (log.f64 y) x) 4)) 1/18))) -1/9)))))))
(+.f64 (fma.f64 -1/2 (log.f64 y) x) (fma.f64 y (*.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 -1/2 (log.f64 y) x) 4) 1/18) (pow.f64 (pow.f64 (fma.f64 -1/2 (log.f64 y) x) 4) 1/18)) (-.f64 1 (log.f64 y))) (*.f64 (*.f64 y y) (+.f64 (*.f64 (cbrt.f64 (fma.f64 -1/2 (log.f64 y) x)) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (log.f64 y) x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (log.f64 y) x) 4)) 1/18)) (*.f64 (pow.f64 (-.f64 1 (log.f64 y)) 2) -1/9))) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (fma.f64 -1/2 (log.f64 y) x)) 1/18) (pow.f64 (/.f64 1 (fma.f64 -1/2 (log.f64 y) x)) 1/18)) (pow.f64 (-.f64 1 (log.f64 y)) 2)) 1/9)))))
(+.f64 (fma.f64 -1/2 (log.f64 y) x) (*.f64 y (+.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 -1/2 (log.f64 y) x) 4) 1/18) (pow.f64 (pow.f64 (fma.f64 -1/2 (log.f64 y) x) 4) 1/18)) (-.f64 1 (log.f64 y))) (*.f64 (+.f64 (*.f64 (cbrt.f64 (fma.f64 -1/2 (log.f64 y) x)) (*.f64 (pow.f64 (-.f64 1 (log.f64 y)) 2) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (log.f64 y) x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (log.f64 y) x) 4)) 1/18)) -1/9))) (*.f64 (pow.f64 (-.f64 1 (log.f64 y)) 2) (*.f64 (*.f64 (pow.f64 (/.f64 1 (fma.f64 -1/2 (log.f64 y) x)) 1/18) (pow.f64 (/.f64 1 (fma.f64 -1/2 (log.f64 y) x)) 1/18)) 1/9))) y))))
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(fma.f64 (fma.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))) 1/18) (pow.f64 (/.f64 1 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))) 1/18)) (fma.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))) 1/18) (pow.f64 (/.f64 1 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))) 1/18)) (*.f64 (cbrt.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) 4)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) 4)) 1/18) -1/9))))) (*.f64 x x) (fma.f64 x (*.f64 (pow.f64 (pow.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) 4) 1/18) (pow.f64 (pow.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) 4) 1/18)) (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))))
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(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y) 2)) 1/3))) (*.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y) 2)) 1/3))))) (+.f64 (*.f64 -2/27 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y) 2)) 1/3))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y) 2)) 1/9) (+.f64 (*.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y) 4)) 1/9)) (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y) 4)) 1/9))))) (*.f64 (pow.f64 (*.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y)) 1/3) (+.f64 (*.f64 -2/27 (*.f64 (pow.f64 1 1/9) (/.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y)))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y)) 1/3) (+.f64 (*.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y) 2)) 1/3)) (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y) 2)) 1/3))))))))))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (*.f64 2/9 (pow.f64 (/.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y)) 1/9)) (+.f64 (*.f64 (pow.f64 (*.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y)) 1/3) (+.f64 (*.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y) 4)) 1/9)) (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y) 4)) 1/9)))) (*.f64 -1/9 (pow.f64 (/.f64 1 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y)) 1/9)))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 2/3 (pow.f64 (*.f64 1 (pow.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y) 4)) 1/9)) (*.f64 1/3 (pow.f64 (*.f64 1 (pow.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y) 4)) 1/9))) x) (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y)))))
(fma.f64 (+.f64 (*.f64 -1/3 (fma.f64 1/27 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 -1 (*.f64 (log.f64 y) (+.f64 y 1/2)) y) 2))) (*.f64 -2/9 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 -1 (*.f64 (log.f64 y) (+.f64 y 1/2)) y) 2)))))) (+.f64 (*.f64 -2/27 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 -1 (*.f64 (log.f64 y) (+.f64 y 1/2)) y) 2)))) (fma.f64 1/3 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1 (*.f64 (log.f64 y) (+.f64 y 1/2)) y) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1 (*.f64 (log.f64 y) (+.f64 y 1/2)) y) 4)) 1/18)) -1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1 (*.f64 (log.f64 y) (+.f64 y 1/2)) y) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1 (*.f64 (log.f64 y) (+.f64 y 1/2)) y) 2)) 1/18))) (*.f64 (cbrt.f64 (fma.f64 -1 (*.f64 (log.f64 y) (+.f64 y 1/2)) y)) (fma.f64 -2/27 (/.f64 1 (fma.f64 -1 (*.f64 (log.f64 y) (+.f64 y 1/2)) y)) (*.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 -1 (*.f64 (log.f64 y) (+.f64 y 1/2)) y))) (fma.f64 1/27 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 -1 (*.f64 (log.f64 y) (+.f64 y 1/2)) y) 2))) (*.f64 -2/9 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 -1 (*.f64 (log.f64 y) (+.f64 y 1/2)) y) 2)))))))))))) (pow.f64 x 3) (fma.f64 (fma.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (fma.f64 -1 (*.f64 (log.f64 y) (+.f64 y 1/2)) y)) 1/18) (pow.f64 (/.f64 1 (fma.f64 -1 (*.f64 (log.f64 y) (+.f64 y 1/2)) y)) 1/18)) (fma.f64 (cbrt.f64 (fma.f64 -1 (*.f64 (log.f64 y) (+.f64 y 1/2)) y)) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1 (*.f64 (log.f64 y) (+.f64 y 1/2)) y) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1 (*.f64 (log.f64 y) (+.f64 y 1/2)) y) 4)) 1/18)) -1/9) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (fma.f64 -1 (*.f64 (log.f64 y) (+.f64 y 1/2)) y)) 1/18) (pow.f64 (/.f64 1 (fma.f64 -1 (*.f64 (log.f64 y) (+.f64 y 1/2)) y)) 1/18))))) (*.f64 x x) (fma.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (fma.f64 -1 (*.f64 (log.f64 y) (+.f64 y 1/2)) y) 4) 1/18) (pow.f64 (pow.f64 (fma.f64 -1 (*.f64 (log.f64 y) (+.f64 y 1/2)) y) 4) 1/18)) 1) x (fma.f64 -1 (*.f64 (log.f64 y) (+.f64 y 1/2)) y))))
(fma.f64 (fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) 2))) -5/27) (fma.f64 -2/27 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) 2))) (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) 4)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) 4)) 1/18) -1/9)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) 2)) 1/18))) (*.f64 (cbrt.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))) (fma.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 1 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) 2))) -5/27)) (/.f64 -2/27 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))))))))) (pow.f64 x 3) (fma.f64 (fma.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))) 1/18) (pow.f64 (/.f64 1 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))) 1/18)) (fma.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))) 1/18) (pow.f64 (/.f64 1 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))) 1/18)) (*.f64 (cbrt.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) 4)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) 4)) 1/18) -1/9))))) (*.f64 x x) (fma.f64 x (*.f64 (pow.f64 (pow.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) 4) 1/18) (pow.f64 (pow.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) 4) 1/18)) (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))))))
(fma.f64 (fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 (-.f64 -1/2 y) (log.f64 y) y) 2))) -5/27) (fma.f64 -2/27 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 (-.f64 -1/2 y) (log.f64 y) y) 2))) (fma.f64 (cbrt.f64 (fma.f64 (-.f64 -1/2 y) (log.f64 y) y)) (fma.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 (-.f64 -1/2 y) (log.f64 y) y))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 (-.f64 -1/2 y) (log.f64 y) y) 2))) -5/27)) (/.f64 -2/27 (fma.f64 (-.f64 -1/2 y) (log.f64 y) y))) (*.f64 1/3 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (-.f64 -1/2 y) (log.f64 y) y) 4)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (-.f64 -1/2 y) (log.f64 y) y) 4)) 1/18) -1/9)) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (-.f64 -1/2 y) (log.f64 y) y) 2)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (-.f64 -1/2 y) (log.f64 y) y) 2)) 1/18)))))) (pow.f64 x 3) (fma.f64 (+.f64 (*.f64 (cbrt.f64 (fma.f64 (-.f64 -1/2 y) (log.f64 y) y)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (-.f64 -1/2 y) (log.f64 y) y) 4)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (-.f64 -1/2 y) (log.f64 y) y) 4)) 1/18) -1/9))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (fma.f64 (-.f64 -1/2 y) (log.f64 y) y)) 1/18) (pow.f64 (/.f64 1 (fma.f64 (-.f64 -1/2 y) (log.f64 y) y)) 1/18)) 1/9)) (*.f64 x x) (fma.f64 x (*.f64 (pow.f64 (pow.f64 (fma.f64 (-.f64 -1/2 y) (log.f64 y) y) 4) 1/18) (pow.f64 (pow.f64 (fma.f64 (-.f64 -1/2 y) (log.f64 y) y) 4) 1/18)) (fma.f64 (-.f64 -1/2 y) (log.f64 y) y))))
(pow.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) 1/3)
(cbrt.f64 (fma.f64 -1/2 (log.f64 y) x))
(+.f64 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) 1/3) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) 2)) 1/9) (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))))))
(+.f64 (cbrt.f64 (fma.f64 -1/2 (log.f64 y) x)) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (log.f64 y) x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (log.f64 y) x) 2)) 1/18)) (*.f64 y (+.f64 1 (neg.f64 (log.f64 y)))))))
(fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (log.f64 y) x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (log.f64 y) x) 2)) 1/18)) (*.f64 y (-.f64 1 (log.f64 y)))) (cbrt.f64 (fma.f64 -1/2 (log.f64 y) x)))
(fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (log.f64 y) x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (log.f64 y) x) 2)) 1/18)) (-.f64 y (*.f64 y (log.f64 y)))) (cbrt.f64 (fma.f64 -1/2 (log.f64 y) x)))
(+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) 7)) 1/9) (*.f64 (pow.f64 y 2) (pow.f64 (+.f64 1 (*.f64 -1 (log.f64 y))) 2)))) (+.f64 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) 1/3) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) 2)) 1/9) (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y))))))))
(fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (log.f64 y) x) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (log.f64 y) x) 7)) 1/18)) (*.f64 (*.f64 y y) (pow.f64 (+.f64 1 (neg.f64 (log.f64 y))) 2))) (+.f64 (cbrt.f64 (fma.f64 -1/2 (log.f64 y) x)) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (log.f64 y) x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (log.f64 y) x) 2)) 1/18)) (*.f64 y (+.f64 1 (neg.f64 (log.f64 y))))))))
(fma.f64 -1/9 (*.f64 (*.f64 y y) (*.f64 (pow.f64 (-.f64 1 (log.f64 y)) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (log.f64 y) x) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (log.f64 y) x) 7)) 1/18)))) (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (log.f64 y) x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (log.f64 y) x) 2)) 1/18)) (*.f64 y (-.f64 1 (log.f64 y)))) (cbrt.f64 (fma.f64 -1/2 (log.f64 y) x))))
(fma.f64 -1/9 (*.f64 (pow.f64 (-.f64 1 (log.f64 y)) 2) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (log.f64 y) x) 7)) 1/18) y) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (log.f64 y) x) 7)) 1/18) y))) (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (log.f64 y) x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1/2 (log.f64 y) x) 2)) 1/18)) (-.f64 y (*.f64 y (log.f64 y)))) (cbrt.f64 (fma.f64 -1/2 (log.f64 y) x))))
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(+.f64 x (fma.f64 (-.f64 -1/2 y) (log.f64 y) y))
x
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))
(fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x))
(fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 -1/2 (log.f64 y) x))
(+.f64 x (fma.f64 (-.f64 -1/2 y) (log.f64 y) y))
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))
(fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x))
(fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 -1/2 (log.f64 y) x))
(+.f64 x (fma.f64 (-.f64 -1/2 y) (log.f64 y) y))
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))
(fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x))
(fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 -1/2 (log.f64 y) x))
(+.f64 x (fma.f64 (-.f64 -1/2 y) (log.f64 y) y))
x
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))
(fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x))
(fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 -1/2 (log.f64 y) x))
(+.f64 x (fma.f64 (-.f64 -1/2 y) (log.f64 y) y))
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))
(fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x))
(fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 -1/2 (log.f64 y) x))
(+.f64 x (fma.f64 (-.f64 -1/2 y) (log.f64 y) y))
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))
(fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x))
(fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 -1/2 (log.f64 y) x))
(+.f64 x (fma.f64 (-.f64 -1/2 y) (log.f64 y) y))

eval1.0s (7.6%)

Compiler

Compiled 22660 to 13681 computations (39.6% saved)

prune346.0ms (2.5%)

Pruning

19 alts after pruning (16 fresh and 3 done)

PrunedKeptTotal
New93811949
Fresh6511
Picked101
Done336
Total94819967
Error
0.0b
Counts
967 → 19
Alt Table
Click to see full alt table
StatusErrorProgram
23.3b
(-.f64 (pow.f64 (cbrt.f64 (-.f64 y (*.f64 y (log.f64 y)))) 3) z)
35.6b
(+.f64 x (-.f64 y (pow.f64 (sqrt.f64 (*.f64 (+.f64 1/2 y) (log.f64 y))) 2)))
22.5b
(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z)
24.6b
(+.f64 x (-.f64 y (*.f64 y (log.f64 y))))
0.3b
(+.f64 x (-.f64 y (fma.f64 (sqrt.f64 (+.f64 y 1/2)) (*.f64 (sqrt.f64 (+.f64 y 1/2)) (log.f64 y)) z)))
24.9b
(+.f64 x (-.f64 y (pow.f64 (cbrt.f64 (*.f64 y (log.f64 y))) 3)))
6.1b
(-.f64 (+.f64 (-.f64 x (*.f64 y (log.f64 y))) y) z)
18.7b
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
0.6b
(-.f64 (fma.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2)) (cbrt.f64 (-.f64 -1/2 y)) (+.f64 x y)) z)
35.6b
(-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y)))
28.4b
(-.f64 x z)
19.3b
(-.f64 (+.f64 (-.f64 x (*.f64 (log.f64 y) (*.f64 (fma.f64 y y -1/4) (/.f64 1 (+.f64 y -1/2))))) y) z)
0.1b
(-.f64 (+.f64 (-.f64 x (pow.f64 (/.f64 1 (*.f64 (+.f64 y 1/2) (log.f64 y))) -1)) y) z)
46.9b
(+.f64 x y)
25.3b
(-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (log.f64 y) (*.f64 y y)) (+.f64 y -1/2))) y) z)
40.6b
(-.f64 x (*.f64 1/2 (log.f64 y)))
46.5b
x
35.5b
(+.f64 x (-.f64 y (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (log.f64 y)) (-.f64 1/2 y))))
23.0b
(-.f64 (*.f64 (-.f64 1 (log.f64 y)) y) z)
Compiler

Compiled 484 to 339 computations (30% saved)

localize79.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

Compiled 80 to 51 computations (36.3% saved)

series17.0ms (0.1%)

Counts
3 → 48
Calls

12 calls:

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

rewrite140.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
587×log-prod_binary64
575×fma-def_binary64
349×pow2_binary64
318×fma-neg_binary64
239×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01348
129136
2406336
Stop Event
node limit
Counts
3 → 149
Calls
Call 1
Inputs
(/.f64 1 (*.f64 (+.f64 y 1/2) (log.f64 y)))
(pow.f64 (/.f64 1 (*.f64 (+.f64 y 1/2) (log.f64 y))) -1)
(+.f64 (-.f64 x (pow.f64 (/.f64 1 (*.f64 (+.f64 y 1/2) (log.f64 y))) -1)) y)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 y 1/2) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 y)) (*.f64 y (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (log.f64 y)) (log.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 y) y) (*.f64 (log.f64 y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 y) 1/2) (*.f64 (log.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 y (+.f64 y 1/2))) 2)) (log.f64 (cbrt.f64 (pow.f64 y (+.f64 y 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 y (+.f64 y 1/2)))) (log.f64 (sqrt.f64 (pow.f64 y (+.f64 y 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 y 1/2) (log.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 y 1/2) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y 1/2) (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 y) (+.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (+.f64 y 1/2) (neg.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 y 1/2) (log.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2) (*.f64 (cbrt.f64 (+.f64 y 1/2)) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (*.f64 (cbrt.f64 (log.f64 y)) (+.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (+.f64 y 1/2) (log.f64 y))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 y 1/2) (log.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 y 1/2) (log.f64 y))) 2) (cbrt.f64 (*.f64 (+.f64 y 1/2) (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 y 1/2)) (*.f64 (sqrt.f64 (+.f64 y 1/2)) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) (+.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 y 1/2) (log.f64 y))) (sqrt.f64 (*.f64 (+.f64 y 1/2) (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 (+.f64 y 1/2) (log.f64 y)) -2))) (cbrt.f64 (*.f64 (+.f64 y 1/2) (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (+.f64 y 1/2))) (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 y 1/2) (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 y 1/2) (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (cbrt.f64 (+.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 y) (sqrt.f64 (+.f64 y 1/2))) (sqrt.f64 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 (+.f64 y 1/2) (log.f64 y)) -2))) (/.f64 1 (cbrt.f64 (*.f64 (+.f64 y 1/2) (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1/8 (pow.f64 y 3)) (log.f64 y)) (-.f64 (fma.f64 y y 1/4) (*.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 y y -1/4) (log.f64 y)) (+.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 y) (+.f64 1/8 (pow.f64 y 3))) (-.f64 (fma.f64 y y 1/4) (*.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 y) (fma.f64 y y -1/4)) (+.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 y 1/2) (log.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 y (+.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 y (+.f64 y 1/2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 y 1/2) (log.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 y 1/2) 3) (pow.f64 (log.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (log.f64 y) 3) (pow.f64 (+.f64 y 1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 y 1/2) (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 y (+.f64 y 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 y 1/2) (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 y 1/2) (log.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (log.f64 y) (log.f64 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (log.f64 y) (*.f64 y (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 y) y (*.f64 (log.f64 y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 y) 1/2 (*.f64 (log.f64 y) y))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 x (-.f64 (*.f64 (+.f64 y 1/2) (log.f64 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 y (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) 2) (-.f64 x (fma.f64 (+.f64 y 1/2) (log.f64 y) y))) (/.f64 (*.f64 y y) (-.f64 x (fma.f64 (+.f64 y 1/2) (log.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 y x) (*.f64 (+.f64 y 1/2) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 y (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 y (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))))) (pow.f64 (cbrt.f64 (+.f64 y (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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simplify106.0ms (0.8%)

Algorithm
egg-herbie
Rules
932×fma-neg_binary64
499×+-commutative_binary64
362×associate-/r*_binary64
339×times-frac_binary64
288×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01991166
16721059
22655958
37116952
Stop Event
node limit
Counts
197 → 211
Calls
Call 1
Inputs
(/.f64 2 (log.f64 y))
(+.f64 (*.f64 2 (/.f64 1 (log.f64 y))) (*.f64 -4 (/.f64 y (log.f64 y))))
(+.f64 (*.f64 2 (/.f64 1 (log.f64 y))) (+.f64 (*.f64 -4 (/.f64 y (log.f64 y))) (*.f64 8 (/.f64 (pow.f64 y 2) (log.f64 y)))))
(+.f64 (*.f64 -16 (/.f64 (pow.f64 y 3) (log.f64 y))) (+.f64 (*.f64 2 (/.f64 1 (log.f64 y))) (+.f64 (*.f64 -4 (/.f64 y (log.f64 y))) (*.f64 8 (/.f64 (pow.f64 y 2) (log.f64 y))))))
(/.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))
(-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (log.f64 (/.f64 1 y))))) (/.f64 1 (*.f64 y (log.f64 (/.f64 1 y)))))
(-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (log.f64 (/.f64 1 y))))) (+.f64 (/.f64 1 (*.f64 y (log.f64 (/.f64 1 y)))) (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 y 3) (log.f64 (/.f64 1 y)))))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (log.f64 (/.f64 1 y))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 y 4) (log.f64 (/.f64 1 y)))))) (+.f64 (/.f64 1 (*.f64 y (log.f64 (/.f64 1 y)))) (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 y 3) (log.f64 (/.f64 1 y)))))))
(/.f64 1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(-.f64 (/.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)) (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (pow.f64 y 2)))))
(-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)) (*.f64 1/4 (/.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (pow.f64 y 3))))) (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (pow.f64 y 2)))))
(-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)) (*.f64 1/4 (/.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (pow.f64 y 3))))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (pow.f64 y 2)))) (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (pow.f64 y 4))))))
(*.f64 1/2 (log.f64 y))
(+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))
(+.f64 (*.f64 1/2 (log.f64 y)) (+.f64 (*.f64 y (log.f64 y)) (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (log.f64 y)) (*.f64 -2 (log.f64 y))) (pow.f64 y 2)))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 4 (log.f64 y)) (+.f64 (*.f64 -4 (log.f64 y)) (*.f64 2 (+.f64 (*.f64 2 (log.f64 y)) (*.f64 -2 (log.f64 y)))))) (pow.f64 y 3))) (+.f64 (*.f64 1/2 (log.f64 y)) (+.f64 (*.f64 y (log.f64 y)) (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (log.f64 y)) (*.f64 -2 (log.f64 y))) (pow.f64 y 2))))))
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (log.f64 (/.f64 1 y))) (*.f64 1/4 (log.f64 (/.f64 1 y)))) y)) (+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (log.f64 (/.f64 1 y))) (*.f64 1/4 (log.f64 (/.f64 1 y)))) y)) (+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (log.f64 (/.f64 1 y))) (+.f64 (*.f64 1/2 (+.f64 (*.f64 1/4 (log.f64 (/.f64 1 y))) (*.f64 -1/4 (log.f64 (/.f64 1 y))))) (*.f64 -1/8 (log.f64 (/.f64 1 y))))) (pow.f64 y 2))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y))
(+.f64 (*.f64 1/4 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)) (+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) (*.f64 -1/4 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)))))
(+.f64 (*.f64 1/4 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)) (+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 -1/8 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 -1/2 (+.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))))) (pow.f64 y 2))) (*.f64 -1/4 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y))))))
(-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
x
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
x
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 x (*.f64 1/2 (log.f64 y)))
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) x) (*.f64 1/2 (log.f64 y)))
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 2 (log.f64 y)) (*.f64 -2 (log.f64 y))) (pow.f64 y 2)) (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) x)) (*.f64 1/2 (log.f64 y)))
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 2 (log.f64 y)) (*.f64 -2 (log.f64 y))) (pow.f64 y 2)) (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 (+.f64 (*.f64 4 (log.f64 y)) (+.f64 (*.f64 -4 (log.f64 y)) (*.f64 2 (+.f64 (*.f64 2 (log.f64 y)) (*.f64 -2 (log.f64 y)))))) (pow.f64 y 3)) x))) (*.f64 1/2 (log.f64 y)))
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 x (*.f64 1/2 (log.f64 (/.f64 1 y)))))
(+.f64 (*.f64 1/4 (/.f64 (log.f64 (/.f64 1 y)) y)) (+.f64 (*.f64 -1/4 (/.f64 (log.f64 (/.f64 1 y)) y)) (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) x))))
(+.f64 (*.f64 -1/4 (/.f64 (log.f64 (/.f64 1 y)) y)) (+.f64 (*.f64 1/4 (/.f64 (log.f64 (/.f64 1 y)) y)) (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/4 (log.f64 (/.f64 1 y))) (*.f64 -1/4 (log.f64 (/.f64 1 y)))) (pow.f64 y 2))) (+.f64 (*.f64 1/8 (/.f64 (log.f64 (/.f64 1 y)) (pow.f64 y 2))) (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (+.f64 x (*.f64 -1/8 (/.f64 (log.f64 (/.f64 1 y)) (pow.f64 y 2))))))))))
(*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))))
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) y)) (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x)))
(+.f64 (*.f64 1/8 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) y)) (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) (pow.f64 y 2))) (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) (+.f64 (*.f64 -1/8 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (pow.f64 y 2))) x))))))
Outputs
(/.f64 2 (log.f64 y))
(+.f64 (*.f64 2 (/.f64 1 (log.f64 y))) (*.f64 -4 (/.f64 y (log.f64 y))))
(+.f64 (/.f64 2 (log.f64 y)) (*.f64 -4 (/.f64 y (log.f64 y))))
(fma.f64 -4 (/.f64 y (log.f64 y)) (/.f64 2 (log.f64 y)))
(+.f64 (*.f64 2 (/.f64 1 (log.f64 y))) (+.f64 (*.f64 -4 (/.f64 y (log.f64 y))) (*.f64 8 (/.f64 (pow.f64 y 2) (log.f64 y)))))
(+.f64 (/.f64 2 (log.f64 y)) (fma.f64 -4 (/.f64 y (log.f64 y)) (*.f64 8 (/.f64 (*.f64 y y) (log.f64 y)))))
(+.f64 (*.f64 -16 (/.f64 (pow.f64 y 3) (log.f64 y))) (+.f64 (*.f64 2 (/.f64 1 (log.f64 y))) (+.f64 (*.f64 -4 (/.f64 y (log.f64 y))) (*.f64 8 (/.f64 (pow.f64 y 2) (log.f64 y))))))
(fma.f64 -16 (/.f64 (pow.f64 y 3) (log.f64 y)) (+.f64 (/.f64 2 (log.f64 y)) (fma.f64 -4 (/.f64 y (log.f64 y)) (*.f64 8 (/.f64 (*.f64 y y) (log.f64 y))))))
(+.f64 (fma.f64 -4 (/.f64 y (log.f64 y)) (*.f64 8 (/.f64 (*.f64 y y) (log.f64 y)))) (fma.f64 -16 (/.f64 (pow.f64 y 3) (log.f64 y)) (/.f64 2 (log.f64 y))))
(/.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))
(/.f64 -1 (*.f64 y (neg.f64 (log.f64 y))))
(/.f64 -1 (*.f64 (log.f64 y) (neg.f64 y)))
(/.f64 1 (*.f64 y (log.f64 y)))
(-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (log.f64 (/.f64 1 y))))) (/.f64 1 (*.f64 y (log.f64 (/.f64 1 y)))))
(-.f64 (/.f64 1/2 (*.f64 (*.f64 y y) (neg.f64 (log.f64 y)))) (/.f64 (/.f64 1 y) (neg.f64 (log.f64 y))))
(+.f64 (/.f64 1/2 (neg.f64 (*.f64 (*.f64 y y) (log.f64 y)))) (/.f64 -1 (*.f64 (log.f64 y) (neg.f64 y))))
(+.f64 (/.f64 -1/2 (*.f64 y (*.f64 y (log.f64 y)))) (/.f64 1 (*.f64 y (log.f64 y))))
(-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (log.f64 (/.f64 1 y))))) (+.f64 (/.f64 1 (*.f64 y (log.f64 (/.f64 1 y)))) (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 y 3) (log.f64 (/.f64 1 y)))))))
(-.f64 (/.f64 1/2 (*.f64 (*.f64 y y) (neg.f64 (log.f64 y)))) (+.f64 (/.f64 (/.f64 1 y) (neg.f64 (log.f64 y))) (/.f64 1/4 (*.f64 (pow.f64 y 3) (neg.f64 (log.f64 y))))))
(+.f64 (/.f64 1/2 (neg.f64 (*.f64 (*.f64 y y) (log.f64 y)))) (-.f64 (/.f64 -1 (*.f64 (log.f64 y) (neg.f64 y))) (/.f64 1/4 (neg.f64 (*.f64 (log.f64 y) (pow.f64 y 3))))))
(-.f64 (/.f64 -1/2 (*.f64 y (*.f64 y (log.f64 y)))) (+.f64 (/.f64 -1 (*.f64 y (log.f64 y))) (/.f64 -1/4 (*.f64 (log.f64 y) (pow.f64 y 3)))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 y 2) (log.f64 (/.f64 1 y))))) (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 y 4) (log.f64 (/.f64 1 y)))))) (+.f64 (/.f64 1 (*.f64 y (log.f64 (/.f64 1 y)))) (*.f64 1/4 (/.f64 1 (*.f64 (pow.f64 y 3) (log.f64 (/.f64 1 y)))))))
(+.f64 (/.f64 1/2 (*.f64 (*.f64 y y) (neg.f64 (log.f64 y)))) (-.f64 (/.f64 1/8 (*.f64 (neg.f64 (log.f64 y)) (pow.f64 y 4))) (+.f64 (/.f64 (/.f64 1 y) (neg.f64 (log.f64 y))) (/.f64 1/4 (*.f64 (pow.f64 y 3) (neg.f64 (log.f64 y)))))))
(+.f64 (/.f64 1/8 (*.f64 (neg.f64 (log.f64 y)) (pow.f64 y 4))) (+.f64 (/.f64 1/2 (neg.f64 (*.f64 (*.f64 y y) (log.f64 y)))) (-.f64 (/.f64 -1 (*.f64 (log.f64 y) (neg.f64 y))) (/.f64 1/4 (neg.f64 (*.f64 (log.f64 y) (pow.f64 y 3)))))))
(+.f64 (/.f64 -1/2 (*.f64 y (*.f64 y (log.f64 y)))) (+.f64 (-.f64 (/.f64 -1/8 (*.f64 (log.f64 y) (pow.f64 y 4))) (/.f64 -1/4 (*.f64 (log.f64 y) (pow.f64 y 3)))) (/.f64 1 (*.f64 y (log.f64 y)))))
(/.f64 1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(/.f64 (/.f64 1 y) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))
(/.f64 (/.f64 1 y) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))
(-.f64 (/.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)) (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (pow.f64 y 2)))))
(-.f64 (/.f64 (/.f64 1 y) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))) (/.f64 1/2 (*.f64 (*.f64 y y) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))))
(+.f64 (/.f64 (/.f64 1 y) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) (/.f64 -1/2 (*.f64 (*.f64 y y) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))))
(+.f64 (/.f64 (/.f64 1 y) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) (/.f64 (/.f64 -1/2 (*.f64 y y)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))))
(-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)) (*.f64 1/4 (/.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (pow.f64 y 3))))) (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (pow.f64 y 2)))))
(-.f64 (+.f64 (/.f64 (/.f64 1 y) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))) (/.f64 1/4 (*.f64 (pow.f64 y 3) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))))) (/.f64 1/2 (*.f64 (*.f64 y y) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))))
(+.f64 (/.f64 (/.f64 1 y) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) (+.f64 (/.f64 (/.f64 1/4 (pow.f64 y 3)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) (/.f64 -1/2 (*.f64 (*.f64 y y) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))))))
(+.f64 (+.f64 (/.f64 (/.f64 1 y) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) (/.f64 (/.f64 -1/2 (*.f64 y y)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))) (/.f64 (/.f64 1/4 (pow.f64 y 3)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))))
(-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)) (*.f64 1/4 (/.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (pow.f64 y 3))))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (pow.f64 y 2)))) (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (pow.f64 y 4))))))
(+.f64 (/.f64 (/.f64 1 y) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))) (-.f64 (/.f64 1/4 (*.f64 (pow.f64 y 3) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))) (+.f64 (/.f64 1/2 (*.f64 (*.f64 y y) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))) (/.f64 1/8 (*.f64 (pow.f64 y 4) (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))))))
(+.f64 (/.f64 (/.f64 1 y) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) (-.f64 (/.f64 (/.f64 1/4 (pow.f64 y 3)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) (+.f64 (/.f64 1/2 (*.f64 (*.f64 y y) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))) (/.f64 1/8 (*.f64 (pow.f64 y 4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))))))
(+.f64 (/.f64 (/.f64 1 y) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) (-.f64 (/.f64 (/.f64 1/4 (pow.f64 y 3)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) (+.f64 (/.f64 (/.f64 1/2 (*.f64 y y)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) (/.f64 (/.f64 1/8 (pow.f64 y 4)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))))))
(*.f64 1/2 (log.f64 y))
(*.f64 (log.f64 y) 1/2)
(log.f64 (sqrt.f64 y))
(+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))
(*.f64 (log.f64 y) (+.f64 y 1/2))
(+.f64 (*.f64 1/2 (log.f64 y)) (+.f64 (*.f64 y (log.f64 y)) (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (log.f64 y)) (*.f64 -2 (log.f64 y))) (pow.f64 y 2)))))
(*.f64 (log.f64 y) (+.f64 y 1/2))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 4 (log.f64 y)) (+.f64 (*.f64 -4 (log.f64 y)) (*.f64 2 (+.f64 (*.f64 2 (log.f64 y)) (*.f64 -2 (log.f64 y)))))) (pow.f64 y 3))) (+.f64 (*.f64 1/2 (log.f64 y)) (+.f64 (*.f64 y (log.f64 y)) (*.f64 -1 (*.f64 (+.f64 (*.f64 2 (log.f64 y)) (*.f64 -2 (log.f64 y))) (pow.f64 y 2))))))
(*.f64 (log.f64 y) (+.f64 y 1/2))
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(*.f64 (log.f64 y) (+.f64 y 1/2))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (log.f64 (/.f64 1 y))) (*.f64 1/4 (log.f64 (/.f64 1 y)))) y)) (+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))))
(*.f64 (log.f64 y) (+.f64 y 1/2))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (log.f64 (/.f64 1 y))) (*.f64 1/4 (log.f64 (/.f64 1 y)))) y)) (+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (log.f64 (/.f64 1 y))) (+.f64 (*.f64 1/2 (+.f64 (*.f64 1/4 (log.f64 (/.f64 1 y))) (*.f64 -1/4 (log.f64 (/.f64 1 y))))) (*.f64 -1/8 (log.f64 (/.f64 1 y))))) (pow.f64 y 2))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))))
(*.f64 (log.f64 y) (+.f64 y 1/2))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(*.f64 y (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))
(*.f64 y (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y))
(fma.f64 1/2 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) (*.f64 y (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))))
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (+.f64 y 1/2))
(+.f64 (*.f64 1/4 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)) (+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) (*.f64 -1/4 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)))))
(fma.f64 1/4 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) y) (fma.f64 1/2 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) (fma.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) y (*.f64 -1/4 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) y)))))
(fma.f64 1/4 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) y) (+.f64 (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (+.f64 y 1/2)) (*.f64 -1/4 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) y))))
(+.f64 (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (+.f64 y 1/2)) 0)
(fma.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (+.f64 y 1/2) 0)
(+.f64 (*.f64 1/4 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)) (+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/8 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 -1/8 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 -1/2 (+.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))))) (pow.f64 y 2))) (*.f64 -1/4 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y))))))
(fma.f64 1/4 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) y) (fma.f64 1/2 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) (fma.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) y (*.f64 -1/4 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) y)))))
(fma.f64 1/4 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) y) (+.f64 (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (+.f64 y 1/2)) (*.f64 -1/4 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) y))))
(+.f64 (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (+.f64 y 1/2)) 0)
(fma.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (+.f64 y 1/2) 0)
(-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))
(+.f64 y (*.f64 (log.f64 y) (-.f64 -1/2 y)))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y 1/2)))
(+.f64 y (+.f64 x (*.f64 (log.f64 y) (-.f64 -1/2 y))))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y 1/2)))
(+.f64 y (+.f64 x (*.f64 (log.f64 y) (-.f64 -1/2 y))))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y 1/2)))
(+.f64 y (+.f64 x (*.f64 (log.f64 y) (-.f64 -1/2 y))))
x
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y 1/2)))
(+.f64 y (+.f64 x (*.f64 (log.f64 y) (-.f64 -1/2 y))))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y 1/2)))
(+.f64 y (+.f64 x (*.f64 (log.f64 y) (-.f64 -1/2 y))))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y 1/2)))
(+.f64 y (+.f64 x (*.f64 (log.f64 y) (-.f64 -1/2 y))))
x
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y 1/2)))
(+.f64 y (+.f64 x (*.f64 (log.f64 y) (-.f64 -1/2 y))))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y 1/2)))
(+.f64 y (+.f64 x (*.f64 (log.f64 y) (-.f64 -1/2 y))))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y 1/2)))
(+.f64 y (+.f64 x (*.f64 (log.f64 y) (-.f64 -1/2 y))))
(-.f64 x (*.f64 1/2 (log.f64 y)))
(+.f64 x (*.f64 -1/2 (log.f64 y)))
(+.f64 x (*.f64 (log.f64 y) -1/2))
(-.f64 x (*.f64 (log.f64 y) 1/2))
(-.f64 x (log.f64 (sqrt.f64 y)))
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) x) (*.f64 1/2 (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y 1/2)))
(+.f64 y (+.f64 x (*.f64 (log.f64 y) (-.f64 -1/2 y))))
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 2 (log.f64 y)) (*.f64 -2 (log.f64 y))) (pow.f64 y 2)) (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) x)) (*.f64 1/2 (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y 1/2)))
(+.f64 y (+.f64 x (*.f64 (log.f64 y) (-.f64 -1/2 y))))
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 2 (log.f64 y)) (*.f64 -2 (log.f64 y))) (pow.f64 y 2)) (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 (+.f64 (*.f64 4 (log.f64 y)) (+.f64 (*.f64 -4 (log.f64 y)) (*.f64 2 (+.f64 (*.f64 2 (log.f64 y)) (*.f64 -2 (log.f64 y)))))) (pow.f64 y 3)) x))) (*.f64 1/2 (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y 1/2)))
(+.f64 y (+.f64 x (*.f64 (log.f64 y) (-.f64 -1/2 y))))
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(*.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y)))))
(*.f64 y (-.f64 1 (log.f64 y)))
(+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 x (*.f64 1/2 (log.f64 (/.f64 1 y)))))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y 1/2)))
(+.f64 y (+.f64 x (*.f64 (log.f64 y) (-.f64 -1/2 y))))
(+.f64 (*.f64 1/4 (/.f64 (log.f64 (/.f64 1 y)) y)) (+.f64 (*.f64 -1/4 (/.f64 (log.f64 (/.f64 1 y)) y)) (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) x))))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y 1/2)))
(+.f64 y (+.f64 x (*.f64 (log.f64 y) (-.f64 -1/2 y))))
(+.f64 (*.f64 -1/4 (/.f64 (log.f64 (/.f64 1 y)) y)) (+.f64 (*.f64 1/4 (/.f64 (log.f64 (/.f64 1 y)) y)) (+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 1/4 (log.f64 (/.f64 1 y))) (*.f64 -1/4 (log.f64 (/.f64 1 y)))) (pow.f64 y 2))) (+.f64 (*.f64 1/8 (/.f64 (log.f64 (/.f64 1 y)) (pow.f64 y 2))) (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (+.f64 x (*.f64 -1/8 (/.f64 (log.f64 (/.f64 1 y)) (pow.f64 y 2))))))))))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y 1/2)))
(+.f64 y (+.f64 x (*.f64 (log.f64 y) (-.f64 -1/2 y))))
(*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))))
(*.f64 y (+.f64 1 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))))
(*.f64 y (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))))
(+.f64 y (*.f64 y (-.f64 (log.f64 (/.f64 -1 y)) (log.f64 -1))))
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x))
(fma.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) (fma.f64 y (+.f64 1 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))) x))
(fma.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) -1/2 (fma.f64 y (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) x))
(fma.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) -1/2 (fma.f64 y (+.f64 1 (-.f64 (log.f64 (/.f64 -1 y)) (log.f64 -1))) x))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) y)) (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x)))
(fma.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) (fma.f64 y (+.f64 1 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))) x))
(fma.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) -1/2 (fma.f64 y (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) x))
(fma.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) -1/2 (fma.f64 y (+.f64 1 (-.f64 (log.f64 (/.f64 -1 y)) (log.f64 -1))) x))
(+.f64 (*.f64 1/8 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (pow.f64 y 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) y)) (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) (pow.f64 y 2))) (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) (+.f64 (*.f64 -1/8 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (pow.f64 y 2))) x))))))
(fma.f64 1/8 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) (*.f64 y y)) (fma.f64 -1 (/.f64 (*.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) 0) y) (fma.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) (fma.f64 -1/2 (/.f64 (*.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) 0) (*.f64 y y)) (fma.f64 y (+.f64 1 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)))) (fma.f64 -1/8 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) (*.f64 y y)) x))))))
(+.f64 (+.f64 (fma.f64 y (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) (fma.f64 -1/8 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (*.f64 y y)) x)) (fma.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) -1/2 (/.f64 (/.f64 0 y) y))) (fma.f64 1/8 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (*.f64 y y)) (/.f64 0 y)))
(fma.f64 1/8 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (*.f64 y y)) (fma.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) -1/2 (fma.f64 y (+.f64 1 (-.f64 (log.f64 (/.f64 -1 y)) (log.f64 -1))) (fma.f64 -1/8 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (*.f64 y y)) x))))

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 18 to 10 computations (44.4% saved)

series3.0ms (0%)

Counts
1 → 20
Calls

6 calls:

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

rewrite69.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
769×pow1_binary64
716×add-log-exp_binary64
716×log1p-expm1-u_binary64
716×expm1-log1p-u_binary64
702×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
079
11528
219918
Stop Event
node limit
Counts
1 → 37
Calls
Call 1
Inputs
(-.f64 x (*.f64 1/2 (log.f64 y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (log.f64 y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 (log.f64 y) -1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (log.f64 (sqrt.f64 y))) (fma.f64 (neg.f64 (log.f64 y)) 1/2 (log.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (log.f64 (sqrt.f64 y))) (fma.f64 -1/2 (log.f64 y) (log.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (log.f64 (sqrt.f64 y))) (fma.f64 (*.f64 (log.f64 y) -1/2) 1 (log.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (log.f64 (sqrt.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (sqrt.f64 y)))) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 y))) 2) (log.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (log.f64 (sqrt.f64 y))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (sqrt.f64 y)))) (sqrt.f64 (log.f64 (sqrt.f64 y))) (log.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 y) -1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (log.f64 (sqrt.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (log.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (log.f64 (sqrt.f64 y)))) (pow.f64 (cbrt.f64 (-.f64 x (log.f64 (sqrt.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 (sqrt.f64 y)))) 2) (cbrt.f64 (-.f64 x (log.f64 (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (log.f64 (sqrt.f64 y)))) (sqrt.f64 (-.f64 x (log.f64 (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 (sqrt.f64 y)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (log.f64 (sqrt.f64 y)) (+.f64 x (log.f64 (sqrt.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 (sqrt.f64 y)) 2)) (/.f64 1 (+.f64 x (log.f64 (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 (sqrt.f64 y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (log.f64 (sqrt.f64 y)) (+.f64 x (log.f64 (sqrt.f64 y))))) (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 (sqrt.f64 y)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (log.f64 (sqrt.f64 y))) (-.f64 (*.f64 x x) (pow.f64 (log.f64 (sqrt.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 (sqrt.f64 y)) 3)) (fma.f64 x x (*.f64 (log.f64 (sqrt.f64 y)) (+.f64 x (log.f64 (sqrt.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 (sqrt.f64 y)) 2)) (+.f64 x (log.f64 (sqrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 (sqrt.f64 y)) 3))) (neg.f64 (fma.f64 x x (*.f64 (log.f64 (sqrt.f64 y)) (+.f64 x (log.f64 (sqrt.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 (sqrt.f64 y)) 2))) (neg.f64 (+.f64 x (log.f64 (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (log.f64 y) -1/2) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (log.f64 y) -1/2) (*.f64 (log.f64 y) -1/2)) (*.f64 x (*.f64 (log.f64 y) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (log.f64 y) -1/2) (*.f64 (log.f64 y) -1/2))) (-.f64 x (*.f64 (log.f64 y) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (log.f64 (sqrt.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (log.f64 (sqrt.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (log.f64 (sqrt.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (log.f64 (sqrt.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (log.f64 (sqrt.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (log.f64 (sqrt.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (log.f64 (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (log.f64 (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (log.f64 (sqrt.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 (log.f64 y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (log.f64 y) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (log.f64 y) -1/2))))))

simplify273.0ms (2%)

Algorithm
egg-herbie
Rules
1205×distribute-rgt-in_binary64
608×fma-def_binary64
462×unsub-neg_binary64
460×fma-neg_binary64
376×distribute-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021127
152127
2113127
3247127
4549127
51223127
63480127
74904127
85613127
95886127
105992127
116029127
126033127
136124127
146262127
156382127
166426127
176450127
186468127
196476127
206476127
216476127
226821127
Stop Event
node limit
Counts
57 → 43
Calls
Call 1
Inputs
(*.f64 -1/2 (log.f64 y))
(+.f64 (*.f64 -1/2 (log.f64 y)) x)
(+.f64 (*.f64 -1/2 (log.f64 y)) x)
(+.f64 (*.f64 -1/2 (log.f64 y)) x)
x
(+.f64 (*.f64 -1/2 (log.f64 y)) x)
(+.f64 (*.f64 -1/2 (log.f64 y)) x)
(+.f64 (*.f64 -1/2 (log.f64 y)) x)
x
(+.f64 (*.f64 -1/2 (log.f64 y)) x)
(+.f64 (*.f64 -1/2 (log.f64 y)) x)
(+.f64 (*.f64 -1/2 (log.f64 y)) x)
(-.f64 x (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(-.f64 x (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(-.f64 x (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(-.f64 x (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(-.f64 x (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(-.f64 x (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(-.f64 x (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(-.f64 x (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
Outputs
(*.f64 -1/2 (log.f64 y))
(+.f64 (*.f64 -1/2 (log.f64 y)) x)
(fma.f64 -1/2 (log.f64 y) x)
(+.f64 (*.f64 -1/2 (log.f64 y)) x)
(fma.f64 -1/2 (log.f64 y) x)
(+.f64 (*.f64 -1/2 (log.f64 y)) x)
(fma.f64 -1/2 (log.f64 y) x)
x
(+.f64 (*.f64 -1/2 (log.f64 y)) x)
(fma.f64 -1/2 (log.f64 y) x)
(+.f64 (*.f64 -1/2 (log.f64 y)) x)
(fma.f64 -1/2 (log.f64 y) x)
(+.f64 (*.f64 -1/2 (log.f64 y)) x)
(fma.f64 -1/2 (log.f64 y) x)
x
(+.f64 (*.f64 -1/2 (log.f64 y)) x)
(fma.f64 -1/2 (log.f64 y) x)
(+.f64 (*.f64 -1/2 (log.f64 y)) x)
(fma.f64 -1/2 (log.f64 y) x)
(+.f64 (*.f64 -1/2 (log.f64 y)) x)
(fma.f64 -1/2 (log.f64 y) x)
(-.f64 x (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(fma.f64 -1/2 (log.f64 y) x)
(-.f64 x (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(fma.f64 -1/2 (log.f64 y) x)
(-.f64 x (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(fma.f64 -1/2 (log.f64 y) x)
(-.f64 x (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(fma.f64 -1/2 (log.f64 y) x)
(-.f64 x (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(fma.f64 -1/2 (log.f64 y) x)
(-.f64 x (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(fma.f64 -1/2 (log.f64 y) x)
(-.f64 x (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(fma.f64 -1/2 (log.f64 y) x)
(-.f64 x (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(fma.f64 -1/2 (log.f64 y) x)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 26 to 14 computations (46.2% saved)

series3.0ms (0%)

Counts
2 → 16
Calls

6 calls:

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

rewrite60.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
598×pow1_binary64
555×add-log-exp_binary64
555×log1p-expm1-u_binary64
555×expm1-log1p-u_binary64
545×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
112015
2147515
Stop Event
node limit
Counts
2 → 45
Calls
Call 1
Inputs
(*.f64 (-.f64 1 (log.f64 y)) y)
(-.f64 1 (log.f64 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 (neg.f64 (log.f64 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 y (neg.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y (-.f64 1 (log.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (log.f64 y) 3)) y) (+.f64 1 (*.f64 (log.f64 y) (+.f64 1 (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) y) (+.f64 1 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 3))) (+.f64 1 (*.f64 (log.f64 y) (+.f64 1 (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 1 (pow.f64 (log.f64 y) 2))) (+.f64 1 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (-.f64 1 (log.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (-.f64 1 (log.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (-.f64 1 (log.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (-.f64 1 (log.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (-.f64 1 (log.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (/.f64 (E.f64) y) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (-.f64 1 (log.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (-.f64 1 (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 (/.f64 (E.f64) y) y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (-.f64 1 (log.f64 y)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (log.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (log.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (log.f64 y))) (pow.f64 (cbrt.f64 (-.f64 1 (log.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (log.f64 y))) 2) (cbrt.f64 (-.f64 1 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (log.f64 y))) (sqrt.f64 (-.f64 1 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (log.f64 y) 3)) (/.f64 1 (+.f64 1 (*.f64 (log.f64 y) (+.f64 1 (log.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) (/.f64 1 (+.f64 1 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 (log.f64 y) (+.f64 1 (log.f64 y)))) (-.f64 1 (pow.f64 (log.f64 y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (log.f64 y)) (-.f64 1 (pow.f64 (log.f64 y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (log.f64 y) 3)) (+.f64 1 (*.f64 (log.f64 y) (+.f64 1 (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) (+.f64 1 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (log.f64 y) 3))) (neg.f64 (+.f64 1 (*.f64 (log.f64 y) (+.f64 1 (log.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (log.f64 y) 2))) (neg.f64 (+.f64 1 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (neg.f64 (log.f64 y)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (log.f64 y)) (neg.f64 (log.f64 y))) (neg.f64 (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (neg.f64 (log.f64 y)) (neg.f64 (log.f64 y)))) (-.f64 1 (neg.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (log.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (log.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (log.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (log.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (log.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (E.f64) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (log.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 (E.f64) y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 (log.f64 y))))))))

simplify120.0ms (0.9%)

Algorithm
egg-herbie
Rules
780×unsub-neg_binary64
750×fma-def_binary64
721×distribute-rgt-in_binary64
588×distribute-lft-in_binary64
350×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016184
140120
283120
3216120
4643120
51704120
64650120
76228120
86580120
96689120
106724120
116730120
127930120
Stop Event
node limit
Counts
61 → 51
Calls
Call 1
Inputs
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(*.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) y)
(*.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) y)
(*.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) y)
(*.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) y)
(-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))
(-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))
(-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))
(-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))
(-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))
(-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))
(-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))
(-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))
Outputs
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(*.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y)))))
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(*.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y)))))
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(*.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y)))))
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(*.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y)))))
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(*.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) y)
(*.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y)))))
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(*.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) y)
(*.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y)))))
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(*.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) y)
(*.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y)))))
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(*.f64 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) y)
(*.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y)))))
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))
(-.f64 1 (neg.f64 (neg.f64 (log.f64 y))))
(-.f64 1 (log.f64 y))
(-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))
(-.f64 1 (neg.f64 (neg.f64 (log.f64 y))))
(-.f64 1 (log.f64 y))
(-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))
(-.f64 1 (neg.f64 (neg.f64 (log.f64 y))))
(-.f64 1 (log.f64 y))
(-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))
(-.f64 1 (neg.f64 (neg.f64 (log.f64 y))))
(-.f64 1 (log.f64 y))
(-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))
(-.f64 1 (neg.f64 (neg.f64 (log.f64 y))))
(-.f64 1 (log.f64 y))
(-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))
(-.f64 1 (neg.f64 (neg.f64 (log.f64 y))))
(-.f64 1 (log.f64 y))
(-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))
(-.f64 1 (neg.f64 (neg.f64 (log.f64 y))))
(-.f64 1 (log.f64 y))
(-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))
(-.f64 1 (neg.f64 (neg.f64 (log.f64 y))))
(-.f64 1 (log.f64 y))

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiled 36 to 8 computations (77.8% saved)

series5.0ms (0%)

Counts
3 → 56
Calls

15 calls:

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

rewrite101.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
994×pow1_binary64
926×add-log-exp_binary64
926×log1p-expm1-u_binary64
926×expm1-log1p-u_binary64
89×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0727
116227
2252227
Stop Event
node limit
Counts
3 → 91
Calls
Call 1
Inputs
(*.f64 y (log.f64 y))
(+.f64 (-.f64 x (*.f64 y (log.f64 y))) y)
(-.f64 x (*.f64 y (log.f64 y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (log.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (log.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (log.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (log.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (log.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 y y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (log.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 y y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (log.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 x (-.f64 (*.f64 y (log.f64 y)) y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 y (-.f64 x (*.f64 y (log.f64 y)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (-.f64 x (*.f64 y (log.f64 y))) 2) (-.f64 x (+.f64 (*.f64 y (log.f64 y)) y))) (/.f64 (*.f64 y y) (-.f64 x (+.f64 (*.f64 y (log.f64 y)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 y x) (*.f64 y (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y (-.f64 x (*.f64 y (log.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 y (-.f64 x (*.f64 y (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 y (-.f64 x (*.f64 y (log.f64 y))))) (pow.f64 (cbrt.f64 (+.f64 y (-.f64 x (*.f64 y (log.f64 y))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 y (-.f64 x (*.f64 y (log.f64 y))))) 2) (cbrt.f64 (+.f64 y (-.f64 x (*.f64 y (log.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 y (-.f64 x (*.f64 y (log.f64 y))))) (sqrt.f64 (+.f64 y (-.f64 x (*.f64 y (log.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (-.f64 x (*.f64 y (log.f64 y))) 3) (pow.f64 y 3)) (/.f64 1 (+.f64 (pow.f64 (-.f64 x (*.f64 y (log.f64 y))) 2) (*.f64 y (-.f64 y (-.f64 x (*.f64 y (log.f64 y))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (-.f64 x (*.f64 y (log.f64 y))) 2) (*.f64 y y)) (/.f64 1 (-.f64 x (+.f64 (*.f64 y (log.f64 y)) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (-.f64 x (*.f64 y (log.f64 y))) 2) (*.f64 y (-.f64 y (-.f64 x (*.f64 y (log.f64 y)))))) (+.f64 (pow.f64 (-.f64 x (*.f64 y (log.f64 y))) 3) (pow.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (+.f64 (*.f64 y (log.f64 y)) y)) (-.f64 (pow.f64 (-.f64 x (*.f64 y (log.f64 y))) 2) (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (-.f64 x (*.f64 y (log.f64 y))) 3) (pow.f64 y 3)) (+.f64 (pow.f64 (-.f64 x (*.f64 y (log.f64 y))) 2) (*.f64 y (-.f64 y (-.f64 x (*.f64 y (log.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (-.f64 x (*.f64 y (log.f64 y))) 3) (pow.f64 y 3)) (+.f64 (*.f64 y y) (-.f64 (pow.f64 (-.f64 x (*.f64 y (log.f64 y))) 2) (*.f64 y (-.f64 x (*.f64 y (log.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 x (*.f64 y (log.f64 y))) 2) (*.f64 y y)) (-.f64 x (+.f64 (*.f64 y (log.f64 y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 x (*.f64 y (log.f64 y))) 3) (pow.f64 y 3))) (neg.f64 (+.f64 (pow.f64 (-.f64 x (*.f64 y (log.f64 y))) 2) (*.f64 y (-.f64 y (-.f64 x (*.f64 y (log.f64 y))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 x (*.f64 y (log.f64 y))) 2) (*.f64 y y))) (neg.f64 (-.f64 x (+.f64 (*.f64 y (log.f64 y)) y))))))) 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(log.f64 y))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 y (-.f64 x (*.f64 y (log.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (/.f64 (exp.f64 x) (pow.f64 y y)) (exp.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 y (-.f64 x (*.f64 y (log.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 y (-.f64 x (*.f64 y (log.f64 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 y (-.f64 x (*.f64 y (log.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 y (-.f64 x (*.f64 y (log.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 y (-.f64 x (*.f64 y (log.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 y (-.f64 x (*.f64 y (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (neg.f64 (-.f64 (*.f64 y (log.f64 y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 x (*.f64 y (log.f64 y))) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y (log.f64 y)))) 2) (cbrt.f64 (-.f64 x (*.f64 y (log.f64 y)))) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (-.f64 (*.f64 y (log.f64 y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) (-.f64 x (*.f64 y (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 x (*.f64 y (log.f64 y)))) (sqrt.f64 (-.f64 x (*.f64 y (log.f64 y)))) y)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (-.f64 (*.f64 y (log.f64 y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 y) (sqrt.f64 y) (-.f64 x (*.f64 y (log.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 y (neg.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 y (neg.f64 (log.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 y (log.f64 y))) (fma.f64 (neg.f64 (log.f64 y)) y (*.f64 y (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 y (log.f64 y))) (fma.f64 (neg.f64 y) (log.f64 y) (*.f64 y (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 y (log.f64 y))) (fma.f64 (*.f64 y (neg.f64 (log.f64 y))) 1 (*.f64 y (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 y (log.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y (log.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 y (log.f64 y))) 2) (*.f64 y (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 y (log.f64 y))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y (log.f64 y)))) (sqrt.f64 (*.f64 y (log.f64 y))) (*.f64 y (log.f64 y))))))) 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y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (*.f64 y (log.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 x) (pow.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 y (log.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (*.f64 y (log.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (*.f64 y (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (*.f64 y (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (*.f64 y (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 y (neg.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y (neg.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (neg.f64 (log.f64 y))))))))

simplify260.0ms (1.9%)

Algorithm
egg-herbie
Rules
3310×fma-neg_binary64
630×fma-def_binary64
592×unsub-neg_binary64
334×sub-neg_binary64
308×distribute-rgt-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037533
1113447
2242447
3565447
41291447
53215447
64169447
74660447
84837447
94899447
104916447
115629447
126011447
136235447
146427447
156491447
166491447
176555447
186555447
Stop Event
node limit
Counts
147 → 111
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(-.f64 y (*.f64 y (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y)))
x
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y)))
x
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y)))
x
(+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x)
(+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x)
(+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x)
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) x)
(+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) x)
(+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) x)
(*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))))
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x)
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x)
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x)
(*.f64 -1 (*.f64 y (log.f64 y)))
(+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) x)
x
(+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) x)
x
(+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) x)
x
(+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) x)
(*.f64 y (log.f64 (/.f64 1 y)))
(+.f64 (*.f64 y (log.f64 (/.f64 1 y))) x)
(+.f64 (*.f64 y (log.f64 (/.f64 1 y))) x)
(+.f64 (*.f64 y (log.f64 (/.f64 1 y))) x)
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x)
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x)
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x)
Outputs
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(-.f64 y (*.f64 y (log.f64 y)))
(fma.f64 (log.f64 y) (neg.f64 y) y)
(fma.f64 y (neg.f64 (log.f64 y)) y)
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y)))
(+.f64 y (-.f64 x (*.f64 y (log.f64 y))))
(fma.f64 y (-.f64 1 (log.f64 y)) x)
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y)))
(+.f64 y (-.f64 x (*.f64 y (log.f64 y))))
(fma.f64 y (-.f64 1 (log.f64 y)) x)
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y)))
(+.f64 y (-.f64 x (*.f64 y (log.f64 y))))
(fma.f64 y (-.f64 1 (log.f64 y)) x)
x
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y)))
(+.f64 y (-.f64 x (*.f64 y (log.f64 y))))
(fma.f64 y (-.f64 1 (log.f64 y)) x)
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y)))
(+.f64 y (-.f64 x (*.f64 y (log.f64 y))))
(fma.f64 y (-.f64 1 (log.f64 y)) x)
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y)))
(+.f64 y (-.f64 x (*.f64 y (log.f64 y))))
(fma.f64 y (-.f64 1 (log.f64 y)) x)
x
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y)))
(+.f64 y (-.f64 x (*.f64 y (log.f64 y))))
(fma.f64 y (-.f64 1 (log.f64 y)) x)
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y)))
(+.f64 y (-.f64 x (*.f64 y (log.f64 y))))
(fma.f64 y (-.f64 1 (log.f64 y)) x)
(-.f64 (+.f64 y x) (*.f64 y (log.f64 y)))
(+.f64 y (-.f64 x (*.f64 y (log.f64 y))))
(fma.f64 y (-.f64 1 (log.f64 y)) x)
x
(+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x)
(+.f64 y (-.f64 x (*.f64 y (log.f64 y))))
(fma.f64 y (-.f64 1 (log.f64 y)) x)
(+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x)
(+.f64 y (-.f64 x (*.f64 y (log.f64 y))))
(fma.f64 y (-.f64 1 (log.f64 y)) x)
(+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x)
(+.f64 y (-.f64 x (*.f64 y (log.f64 y))))
(fma.f64 y (-.f64 1 (log.f64 y)) x)
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(-.f64 y (*.f64 y (log.f64 y)))
(fma.f64 (log.f64 y) (neg.f64 y) y)
(fma.f64 y (neg.f64 (log.f64 y)) y)
(+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) x)
(+.f64 y (-.f64 x (*.f64 y (log.f64 y))))
(fma.f64 y (-.f64 1 (log.f64 y)) x)
(+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) x)
(+.f64 y (-.f64 x (*.f64 y (log.f64 y))))
(fma.f64 y (-.f64 1 (log.f64 y)) x)
(+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) x)
(+.f64 y (-.f64 x (*.f64 y (log.f64 y))))
(fma.f64 y (-.f64 1 (log.f64 y)) x)
(*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))))
(-.f64 y (*.f64 y (log.f64 y)))
(fma.f64 (log.f64 y) (neg.f64 y) y)
(fma.f64 y (neg.f64 (log.f64 y)) y)
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x)
(+.f64 y (-.f64 x (*.f64 y (log.f64 y))))
(fma.f64 y (-.f64 1 (log.f64 y)) x)
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x)
(+.f64 y (-.f64 x (*.f64 y (log.f64 y))))
(fma.f64 y (-.f64 1 (log.f64 y)) x)
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x)
(+.f64 y (-.f64 x (*.f64 y (log.f64 y))))
(fma.f64 y (-.f64 1 (log.f64 y)) x)
(*.f64 -1 (*.f64 y (log.f64 y)))
(neg.f64 (*.f64 y (log.f64 y)))
(*.f64 y (neg.f64 (log.f64 y)))
(*.f64 (log.f64 y) (neg.f64 y))
(+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) x)
(fma.f64 -1 (*.f64 y (log.f64 y)) x)
(-.f64 x (*.f64 y (log.f64 y)))
(fma.f64 (log.f64 y) (neg.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) x)
(fma.f64 -1 (*.f64 y (log.f64 y)) x)
(-.f64 x (*.f64 y (log.f64 y)))
(fma.f64 (log.f64 y) (neg.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) x)
(fma.f64 -1 (*.f64 y (log.f64 y)) x)
(-.f64 x (*.f64 y (log.f64 y)))
(fma.f64 (log.f64 y) (neg.f64 y) x)
x
(+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) x)
(fma.f64 -1 (*.f64 y (log.f64 y)) x)
(-.f64 x (*.f64 y (log.f64 y)))
(fma.f64 (log.f64 y) (neg.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) x)
(fma.f64 -1 (*.f64 y (log.f64 y)) x)
(-.f64 x (*.f64 y (log.f64 y)))
(fma.f64 (log.f64 y) (neg.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) x)
(fma.f64 -1 (*.f64 y (log.f64 y)) x)
(-.f64 x (*.f64 y (log.f64 y)))
(fma.f64 (log.f64 y) (neg.f64 y) x)
x
(+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) x)
(fma.f64 -1 (*.f64 y (log.f64 y)) x)
(-.f64 x (*.f64 y (log.f64 y)))
(fma.f64 (log.f64 y) (neg.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) x)
(fma.f64 -1 (*.f64 y (log.f64 y)) x)
(-.f64 x (*.f64 y (log.f64 y)))
(fma.f64 (log.f64 y) (neg.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) x)
(fma.f64 -1 (*.f64 y (log.f64 y)) x)
(-.f64 x (*.f64 y (log.f64 y)))
(fma.f64 (log.f64 y) (neg.f64 y) x)
x
(+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) x)
(fma.f64 -1 (*.f64 y (log.f64 y)) x)
(-.f64 x (*.f64 y (log.f64 y)))
(fma.f64 (log.f64 y) (neg.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) x)
(fma.f64 -1 (*.f64 y (log.f64 y)) x)
(-.f64 x (*.f64 y (log.f64 y)))
(fma.f64 (log.f64 y) (neg.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) x)
(fma.f64 -1 (*.f64 y (log.f64 y)) x)
(-.f64 x (*.f64 y (log.f64 y)))
(fma.f64 (log.f64 y) (neg.f64 y) x)
(*.f64 y (log.f64 (/.f64 1 y)))
(neg.f64 (*.f64 y (log.f64 y)))
(*.f64 y (neg.f64 (log.f64 y)))
(*.f64 (log.f64 y) (neg.f64 y))
(+.f64 (*.f64 y (log.f64 (/.f64 1 y))) x)
(fma.f64 -1 (*.f64 y (log.f64 y)) x)
(-.f64 x (*.f64 y (log.f64 y)))
(fma.f64 (log.f64 y) (neg.f64 y) x)
(+.f64 (*.f64 y (log.f64 (/.f64 1 y))) x)
(fma.f64 -1 (*.f64 y (log.f64 y)) x)
(-.f64 x (*.f64 y (log.f64 y)))
(fma.f64 (log.f64 y) (neg.f64 y) x)
(+.f64 (*.f64 y (log.f64 (/.f64 1 y))) x)
(fma.f64 -1 (*.f64 y (log.f64 y)) x)
(-.f64 x (*.f64 y (log.f64 y)))
(fma.f64 (log.f64 y) (neg.f64 y) x)
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(neg.f64 (*.f64 y (log.f64 y)))
(*.f64 y (neg.f64 (log.f64 y)))
(*.f64 (log.f64 y) (neg.f64 y))
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x)
(fma.f64 -1 (*.f64 y (log.f64 y)) x)
(-.f64 x (*.f64 y (log.f64 y)))
(fma.f64 (log.f64 y) (neg.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x)
(fma.f64 -1 (*.f64 y (log.f64 y)) x)
(-.f64 x (*.f64 y (log.f64 y)))
(fma.f64 (log.f64 y) (neg.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x)
(fma.f64 -1 (*.f64 y (log.f64 y)) x)
(-.f64 x (*.f64 y (log.f64 y)))
(fma.f64 (log.f64 y) (neg.f64 y) x)

localize74.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 x (*.f64 (log.f64 y) (*.f64 (fma.f64 y y -1/4) (/.f64 1 (+.f64 y -1/2)))))
0.1b
(+.f64 (-.f64 x (*.f64 (log.f64 y) (*.f64 (fma.f64 y y -1/4) (/.f64 1 (+.f64 y -1/2))))) y)
0.2b
(*.f64 (log.f64 y) (*.f64 (fma.f64 y y -1/4) (/.f64 1 (+.f64 y -1/2))))
18.0b
(*.f64 (fma.f64 y y -1/4) (/.f64 1 (+.f64 y -1/2)))
Compiler

Compiled 97 to 60 computations (38.1% saved)

series6.0ms (0%)

Counts
4 → 72
Calls

18 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
(*.f64 (fma.f64 y y -1/4) (/.f64 1 (+.f64 y -1/2)))
1.0ms
y
@0
(*.f64 (fma.f64 y y -1/4) (/.f64 1 (+.f64 y -1/2)))
0.0ms
y
@inf
(*.f64 (fma.f64 y y -1/4) (/.f64 1 (+.f64 y -1/2)))
0.0ms
x
@0
(+.f64 (-.f64 x (*.f64 (log.f64 y) (*.f64 (fma.f64 y y -1/4) (/.f64 1 (+.f64 y -1/2))))) y)
0.0ms
y
@-inf
(+.f64 (-.f64 x (*.f64 (log.f64 y) (*.f64 (fma.f64 y y -1/4) (/.f64 1 (+.f64 y -1/2))))) y)

rewrite129.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
743×log-prod_binary64
632×fma-def_binary64
351×fma-neg_binary64
274×expm1-udef_binary64
274×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01468
131740
2448440
Stop Event
node limit
Counts
4 → 234
Calls
Call 1
Inputs
(*.f64 (fma.f64 y y -1/4) (/.f64 1 (+.f64 y -1/2)))
(*.f64 (log.f64 y) (*.f64 (fma.f64 y y -1/4) (/.f64 1 (+.f64 y -1/2))))
(+.f64 (-.f64 x (*.f64 (log.f64 y) (*.f64 (fma.f64 y y -1/4) (/.f64 1 (+.f64 y -1/2))))) y)
(-.f64 x (*.f64 (log.f64 y) (*.f64 (fma.f64 y y -1/4) (/.f64 1 (+.f64 y -1/2)))))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 y 1/2) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 y (+.f64 y 1/2))) (cbrt.f64 (pow.f64 y (+.f64 y 1/2))))) (log.f64 (cbrt.f64 (pow.f64 y (+.f64 y 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 y (+.f64 y 1/2)))) (log.f64 (sqrt.f64 (pow.f64 y (+.f64 y 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 y 1/2) (log.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 y y -1/4) (log.f64 y)) (+.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (fma.f64 y y -1/4) (log.f64 y)) 1) (+.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (fma.f64 y y -1/4) (log.f64 y)) -1) (+.f64 1/2 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 y 1/2) (log.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 y 1/2) (log.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 y 1/2) (log.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 y 1/2) (log.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 y 1/2) (log.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 y (+.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 y (+.f64 y 1/2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 y 1/2) (log.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 y 1/2) (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 y (+.f64 y 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 y 1/2) (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 y 1/2) (log.f64 y))) 1))))))
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(+.f64 y 1/2) (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (+.f64 y 1/2) (log.f64 y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (+.f64 y 1/2) (log.f64 y)))) (fma.f64 (neg.f64 (log.f64 y)) (+.f64 y 1/2) (*.f64 (+.f64 y 1/2) (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (+.f64 y 1/2) (log.f64 y)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (+.f64 y 1/2) (log.f64 y)))) (fma.f64 (neg.f64 (/.f64 1 (+.f64 y -1/2))) (*.f64 (fma.f64 y y -1/4) (log.f64 y)) (*.f64 (+.f64 y 1/2) (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 y 1/2) (log.f64 y)) 2))) (cbrt.f64 (*.f64 (+.f64 y 1/2) (log.f64 y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (*.f64 (fma.f64 y y -1/4) (log.f64 y))) (/.f64 1 (+.f64 y -1/2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 (log.f64 y)) (fma.f64 y y -1/4)) (/.f64 1 (+.f64 y -1/2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 (log.f64 y)) 1) (+.f64 y 1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 (log.f64 y)) (/.f64 1 (+.f64 y -1/2))) (fma.f64 y y -1/4) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 (log.f64 y)) (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (cbrt.f64 (+.f64 y 1/2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 (log.f64 y)) (sqrt.f64 (+.f64 y 1/2))) (sqrt.f64 (+.f64 y 1/2)) x)))))

simplify88.0ms (0.6%)

Algorithm
egg-herbie
Rules
497×unsub-neg_binary64
487×sub-neg_binary64
428×div-sub_binary64
363×fma-neg_binary64
246×associate-+l+_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0681007
1218915
2575839
31646838
46061836
Stop Event
node limit
Counts
306 → 273
Calls
Call 1
Inputs
1/2
(+.f64 1/2 y)
(+.f64 1/2 y)
(+.f64 1/2 y)
y
(+.f64 1/2 y)
(+.f64 1/2 y)
(+.f64 1/2 y)
y
(+.f64 1/2 y)
(+.f64 1/2 y)
(+.f64 1/2 y)
(*.f64 1/2 (log.f64 y))
(+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))
(+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))
(+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y))
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y))
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y))
(-.f64 y (/.f64 (*.f64 (-.f64 (pow.f64 y 2) 1/4) (log.f64 y)) (-.f64 y 1/2)))
(-.f64 (+.f64 y x) (/.f64 (*.f64 (log.f64 y) (-.f64 (pow.f64 y 2) 1/4)) (-.f64 y 1/2)))
(-.f64 (+.f64 y x) (/.f64 (*.f64 (log.f64 y) (-.f64 (pow.f64 y 2) 1/4)) (-.f64 y 1/2)))
(-.f64 (+.f64 y x) (/.f64 (*.f64 (log.f64 y) (-.f64 (pow.f64 y 2) 1/4)) (-.f64 y 1/2)))
x
(-.f64 (+.f64 y x) (/.f64 (*.f64 (log.f64 y) (-.f64 (pow.f64 y 2) 1/4)) (-.f64 y 1/2)))
(-.f64 (+.f64 y x) (/.f64 (*.f64 (log.f64 y) (-.f64 (pow.f64 y 2) 1/4)) (-.f64 y 1/2)))
(-.f64 (+.f64 y x) (/.f64 (*.f64 (log.f64 y) (-.f64 (pow.f64 y 2) 1/4)) (-.f64 y 1/2)))
x
(-.f64 (+.f64 y x) (/.f64 (*.f64 (-.f64 (pow.f64 y 2) 1/4) (log.f64 y)) (-.f64 y 1/2)))
(-.f64 (+.f64 y x) (/.f64 (*.f64 (-.f64 (pow.f64 y 2) 1/4) (log.f64 y)) (-.f64 y 1/2)))
(-.f64 (+.f64 y x) (/.f64 (*.f64 (-.f64 (pow.f64 y 2) 1/4) (log.f64 y)) (-.f64 y 1/2)))
(-.f64 x (*.f64 1/2 (log.f64 y)))
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) x) (*.f64 1/2 (log.f64 y)))
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) x) (*.f64 1/2 (log.f64 y)))
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) x) (*.f64 1/2 (log.f64 y)))
(*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 x (*.f64 1/2 (log.f64 (/.f64 1 y)))))
(+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 x (*.f64 1/2 (log.f64 (/.f64 1 y)))))
(+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 x (*.f64 1/2 (log.f64 (/.f64 1 y)))))
(*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))))
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(*.f64 -1 (/.f64 (*.f64 (log.f64 y) (-.f64 (pow.f64 y 2) 1/4)) (-.f64 y 1/2)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (log.f64 y) (-.f64 (pow.f64 y 2) 1/4)) (-.f64 y 1/2))) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (log.f64 y) (-.f64 (pow.f64 y 2) 1/4)) (-.f64 y 1/2))) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (log.f64 y) (-.f64 (pow.f64 y 2) 1/4)) (-.f64 y 1/2))) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 (log.f64 y) (-.f64 (pow.f64 y 2) 1/4)) (-.f64 y 1/2))) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (log.f64 y) (-.f64 (pow.f64 y 2) 1/4)) (-.f64 y 1/2))) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (log.f64 y) (-.f64 (pow.f64 y 2) 1/4)) (-.f64 y 1/2))) x)
x
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (pow.f64 y 2) 1/4) (log.f64 y)) (-.f64 y 1/2))) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (pow.f64 y 2) 1/4) (log.f64 y)) (-.f64 y 1/2))) x)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (pow.f64 y 2) 1/4) (log.f64 y)) (-.f64 y 1/2))) x)
(-.f64 x (*.f64 1/2 (log.f64 y)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) x) (*.f64 1/2 (log.f64 y)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) x) (*.f64 1/2 (log.f64 y)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (log.f64 y))) x) (*.f64 1/2 (log.f64 y)))
(*.f64 y (log.f64 (/.f64 1 y)))
(+.f64 (*.f64 y (log.f64 (/.f64 1 y))) (+.f64 x (*.f64 1/2 (log.f64 (/.f64 1 y)))))
(+.f64 (*.f64 y (log.f64 (/.f64 1 y))) (+.f64 x (*.f64 1/2 (log.f64 (/.f64 1 y)))))
(+.f64 (*.f64 y (log.f64 (/.f64 1 y))) (+.f64 x (*.f64 1/2 (log.f64 (/.f64 1 y)))))
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(-.f64 (+.f64 (*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x) (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
Outputs
1/2
(+.f64 1/2 y)
(+.f64 1/2 y)
(+.f64 1/2 y)
y
(+.f64 1/2 y)
(+.f64 1/2 y)
(+.f64 1/2 y)
y
(+.f64 1/2 y)
(+.f64 1/2 y)
(+.f64 1/2 y)
(*.f64 1/2 (log.f64 y))
(log.f64 (sqrt.f64 y))
(+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))
(*.f64 (log.f64 y) (+.f64 1/2 y))
(*.f64 (+.f64 1/2 y) (log.f64 y))
(+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))
(*.f64 (log.f64 y) (+.f64 1/2 y))
(*.f64 (+.f64 1/2 y) (log.f64 y))
(+.f64 (*.f64 1/2 (log.f64 y)) (*.f64 y (log.f64 y)))
(*.f64 (log.f64 y) (+.f64 1/2 y))
(*.f64 (+.f64 1/2 y) (log.f64 y))
(*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y))))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(*.f64 (log.f64 y) (+.f64 1/2 y))
(*.f64 (+.f64 1/2 y) (log.f64 y))
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(*.f64 (log.f64 y) (+.f64 1/2 y))
(*.f64 (+.f64 1/2 y) (log.f64 y))
(+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(*.f64 (log.f64 y) (+.f64 1/2 y))
(*.f64 (+.f64 1/2 y) (log.f64 y))
(*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y))
(*.f64 (log.f64 y) (+.f64 1/2 y))
(*.f64 (+.f64 1/2 y) (log.f64 y))
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y))
(*.f64 (log.f64 y) (+.f64 1/2 y))
(*.f64 (+.f64 1/2 y) (log.f64 y))
(+.f64 (*.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y))
(*.f64 (log.f64 y) (+.f64 1/2 y))
(*.f64 (+.f64 1/2 y) (log.f64 y))
(-.f64 y (/.f64 (*.f64 (-.f64 (pow.f64 y 2) 1/4) (log.f64 y)) (-.f64 y 1/2)))
(-.f64 y (/.f64 (log.f64 y) (/.f64 (+.f64 y -1/2) (+.f64 (*.f64 y y) -1/4))))
(-.f64 y (*.f64 (/.f64 (fma.f64 y y -1/4) (+.f64 y -1/2)) (log.f64 y)))
(-.f64 y (*.f64 (log.f64 y) (/.f64 (fma.f64 y y -1/4) (+.f64 y -1/2))))
(+.f64 y (*.f64 (log.f64 y) (/.f64 (fma.f64 y y -1/4) (-.f64 1/2 y))))
(-.f64 (+.f64 y x) (/.f64 (*.f64 (log.f64 y) (-.f64 (pow.f64 y 2) 1/4)) (-.f64 y 1/2)))
(-.f64 (+.f64 y x) (/.f64 (log.f64 y) (/.f64 (+.f64 y -1/2) (+.f64 (*.f64 y y) -1/4))))
(-.f64 (+.f64 y x) (*.f64 (/.f64 (fma.f64 y y -1/4) (+.f64 y -1/2)) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (/.f64 (fma.f64 y y -1/4) (+.f64 y -1/2))))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (/.f64 (fma.f64 y y -1/4) (+.f64 y -1/2)))))
(+.f64 y (+.f64 x (*.f64 (log.f64 y) (/.f64 (fma.f64 y y -1/4) (-.f64 1/2 y)))))
(-.f64 (+.f64 y x) (/.f64 (*.f64 (log.f64 y) (-.f64 (pow.f64 y 2) 1/4)) (-.f64 y 1/2)))
(-.f64 (+.f64 y x) (/.f64 (log.f64 y) (/.f64 (+.f64 y -1/2) (+.f64 (*.f64 y y) -1/4))))
(-.f64 (+.f64 y x) (*.f64 (/.f64 (fma.f64 y y -1/4) (+.f64 y -1/2)) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (/.f64 (fma.f64 y y -1/4) (+.f64 y -1/2))))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (/.f64 (fma.f64 y y -1/4) (+.f64 y -1/2)))))
(+.f64 y (+.f64 x (*.f64 (log.f64 y) (/.f64 (fma.f64 y y -1/4) (-.f64 1/2 y)))))
(-.f64 (+.f64 y x) (/.f64 (*.f64 (log.f64 y) (-.f64 (pow.f64 y 2) 1/4)) (-.f64 y 1/2)))
(-.f64 (+.f64 y x) (/.f64 (log.f64 y) (/.f64 (+.f64 y -1/2) (+.f64 (*.f64 y y) -1/4))))
(-.f64 (+.f64 y x) (*.f64 (/.f64 (fma.f64 y y -1/4) (+.f64 y -1/2)) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (/.f64 (fma.f64 y y -1/4) (+.f64 y -1/2))))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (/.f64 (fma.f64 y y -1/4) (+.f64 y -1/2)))))
(+.f64 y (+.f64 x (*.f64 (log.f64 y) (/.f64 (fma.f64 y y -1/4) (-.f64 1/2 y)))))
x
(-.f64 (+.f64 y x) (/.f64 (*.f64 (log.f64 y) (-.f64 (pow.f64 y 2) 1/4)) (-.f64 y 1/2)))
(-.f64 (+.f64 y x) (/.f64 (log.f64 y) (/.f64 (+.f64 y -1/2) (+.f64 (*.f64 y y) -1/4))))
(-.f64 (+.f64 y x) (*.f64 (/.f64 (fma.f64 y y -1/4) (+.f64 y -1/2)) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (/.f64 (fma.f64 y y -1/4) (+.f64 y -1/2))))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (/.f64 (fma.f64 y y -1/4) (+.f64 y -1/2)))))
(+.f64 y (+.f64 x (*.f64 (log.f64 y) (/.f64 (fma.f64 y y -1/4) (-.f64 1/2 y)))))
(-.f64 (+.f64 y x) (/.f64 (*.f64 (log.f64 y) (-.f64 (pow.f64 y 2) 1/4)) (-.f64 y 1/2)))
(-.f64 (+.f64 y x) (/.f64 (log.f64 y) (/.f64 (+.f64 y -1/2) (+.f64 (*.f64 y y) -1/4))))
(-.f64 (+.f64 y x) (*.f64 (/.f64 (fma.f64 y y -1/4) (+.f64 y -1/2)) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (/.f64 (fma.f64 y y -1/4) (+.f64 y -1/2))))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (/.f64 (fma.f64 y y -1/4) (+.f64 y -1/2)))))
(+.f64 y (+.f64 x (*.f64 (log.f64 y) (/.f64 (fma.f64 y y -1/4) (-.f64 1/2 y)))))
(-.f64 (+.f64 y x) (/.f64 (*.f64 (log.f64 y) (-.f64 (pow.f64 y 2) 1/4)) (-.f64 y 1/2)))
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eval328.0ms (2.4%)

Compiler

Compiled 14595 to 8141 computations (44.2% saved)

prune1.5s (10.6%)

Pruning

21 alts after pruning (16 fresh and 5 done)

PrunedKeptTotal
New71610726
Fresh5611
Picked101
Done257
Total72421745
Error
0b
Counts
745 → 21
Alt Table
Click to see full alt table
StatusErrorProgram
46.5b
x
23.3b
(-.f64 (pow.f64 (cbrt.f64 (-.f64 y (*.f64 y (log.f64 y)))) 3) z)
25.3b
(-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (log.f64 y) (*.f64 y y)) (+.f64 y -1/2))) y) z)
56.7b
(*.f64 -1/2 (log.f64 y))
0.2b
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 1 (+.f64 y 1/2)))) y) z)
40.6b
(-.f64 x (*.f64 1/2 (log.f64 y)))
0.2b
(-.f64 (+.f64 (-.f64 x (/.f64 (+.f64 y 1/2) (/.f64 1 (log.f64 y)))) y) z)
0.5b
(-.f64 (+.f64 (-.f64 x (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 3))) y) z)
0.1b
(-.f64 (+.f64 (-.f64 x (/.f64 1 (/.f64 1 (*.f64 (+.f64 y 1/2) (log.f64 y))))) y) z)
19.3b
(-.f64 (+.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 (*.f64 (/.f64 1 (+.f64 y -1/2)) (*.f64 y y)) (*.f64 (/.f64 1 (+.f64 y -1/2)) -1/4)))) y) z)
6.1b
(-.f64 (+.f64 (-.f64 x (*.f64 y (log.f64 y))) y) z)
18.7b
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
27.2b
(-.f64 (+.f64 (-.f64 x (pow.f64 (sqrt.f64 (*.f64 y (log.f64 y))) 2)) y) z)
0.3b
(-.f64 (+.f64 (-.f64 x (*.f64 (*.f64 (log.f64 y) (sqrt.f64 (+.f64 y 1/2))) (sqrt.f64 (+.f64 y 1/2)))) y) z)
35.6b
(-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y)))
22.5b
(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z)
28.4b
(-.f64 x z)
46.9b
(+.f64 x y)
24.6b
(+.f64 x (-.f64 y (*.f64 y (log.f64 y))))
24.9b
(+.f64 x (-.f64 y (pow.f64 (cbrt.f64 (*.f64 y (log.f64 y))) 3)))
23.0b
(-.f64 (*.f64 (-.f64 1 (log.f64 y)) y) z)
Compiler

Compiled 286 to 202 computations (29.4% saved)

regimes294.0ms (2.1%)

Counts
50 → 1
Calls
Call 1
Inputs
x
x
(+.f64 x y)
(-.f64 x z)
(+.f64 x (-.f64 y z))
(*.f64 -1/2 (log.f64 y))
(-.f64 x (*.f64 1/2 (log.f64 y)))
(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z)
(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z)
(-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (*.f64 (-.f64 1 (log.f64 y)) y) z)
(+.f64 x (-.f64 y (*.f64 y (log.f64 y))))
(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z)
(-.f64 (+.f64 (*.f64 (log.f64 y) (neg.f64 y)) y) z)
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(+.f64 x (-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y))))
(-.f64 (+.f64 (-.f64 x (*.f64 y (log.f64 y))) y) z)
(+.f64 x (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))))
(-.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) z)
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 1 (+.f64 y 1/2)))) y) z)
(-.f64 (+.f64 (-.f64 x (/.f64 (+.f64 y 1/2) (/.f64 1 (log.f64 y)))) y) z)
(-.f64 (+.f64 (-.f64 x (/.f64 1 (/.f64 1 (*.f64 (+.f64 y 1/2) (log.f64 y))))) y) z)
(-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (log.f64 y) (*.f64 y y)) (+.f64 y -1/2))) y) z)
(+.f64 x (-.f64 y (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (log.f64 y)) (-.f64 1/2 y))))
(-.f64 (+.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 (*.f64 (/.f64 1 (+.f64 y -1/2)) (*.f64 y y)) (*.f64 (/.f64 1 (+.f64 y -1/2)) -1/4)))) y) z)
(-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)
(-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)
(-.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x) y) z)
(+.f64 x (-.f64 y (fma.f64 (-.f64 y -1/2) (log.f64 y) z)))
(-.f64 (+.f64 (-.f64 x (pow.f64 (/.f64 1 (*.f64 (+.f64 y 1/2) (log.f64 y))) -1)) y) z)
(-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y -1/4) (log.f64 y)) (+.f64 y -1/2))) y) z)
(-.f64 (+.f64 (-.f64 x (*.f64 (log.f64 y) (*.f64 (fma.f64 y y -1/4) (/.f64 1 (+.f64 y -1/2))))) y) z)
(-.f64 (pow.f64 (cbrt.f64 (-.f64 y (*.f64 y (log.f64 y)))) 3) z)
(+.f64 x (-.f64 y (pow.f64 (cbrt.f64 (*.f64 y (log.f64 y))) 3)))
(-.f64 (+.f64 (-.f64 x (pow.f64 (sqrt.f64 (*.f64 y (log.f64 y))) 2)) y) z)
(+.f64 x (-.f64 y (pow.f64 (sqrt.f64 (*.f64 (+.f64 1/2 y) (log.f64 y))) 2)))
(-.f64 (+.f64 (-.f64 x (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 3))) y) z)
(-.f64 (+.f64 (-.f64 x (*.f64 (*.f64 (log.f64 y) (sqrt.f64 (+.f64 y 1/2))) (sqrt.f64 (+.f64 y 1/2)))) y) z)
(-.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) 2) (*.f64 x x)) (-.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) x)) y) z)
(+.f64 x (-.f64 y (/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 y 1/2) (log.f64 y)) 2) (*.f64 z z)) (-.f64 (*.f64 (+.f64 y 1/2) (log.f64 y)) z))))
(-.f64 (pow.f64 (cbrt.f64 (+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))) 3) z)
(+.f64 x (-.f64 y (pow.f64 (sqrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z)) 2)))
(+.f64 x (-.f64 y (pow.f64 (cbrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z)) 3)))
(+.f64 x (pow.f64 (cbrt.f64 (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z))) 3))
(+.f64 x (-.f64 y (fma.f64 (sqrt.f64 (+.f64 y 1/2)) (*.f64 (sqrt.f64 (+.f64 y 1/2)) (log.f64 y)) z)))
(-.f64 (fma.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) (-.f64 -1/2 y)) (+.f64 x y)) z)
(-.f64 (fma.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 (-.f64 -1/2 y)) 2)) (cbrt.f64 (-.f64 -1/2 y)) (+.f64 x y)) z)
(-.f64 (+.f64 (fma.f64 (*.f64 (+.f64 (neg.f64 y) -1/2) (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)) x) y) z)
(+.f64 x (fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z))) (-.f64 (sqrt.f64 y) (sqrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z))) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z)) 2) (fma.f64 (+.f64 y 1/2) (log.f64 y) z))))
Outputs
(-.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x) y) z)
Calls

5 calls:

86.0ms
z
44.0ms
y
44.0ms
(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
43.0ms
x
42.0ms
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
Results
ErrorSegmentsBranch
0.1b1x
0.1b1y
0.1b1z
0.1b1(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
0.1b1(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
Compiler

Compiled 693 to 378 computations (45.5% saved)

regimes330.0ms (2.4%)

Counts
28 → 1
Calls
Call 1
Inputs
x
x
(+.f64 x y)
(-.f64 x z)
(+.f64 x (-.f64 y z))
(*.f64 -1/2 (log.f64 y))
(-.f64 x (*.f64 1/2 (log.f64 y)))
(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z)
(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z)
(-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (*.f64 (-.f64 1 (log.f64 y)) y) z)
(+.f64 x (-.f64 y (*.f64 y (log.f64 y))))
(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z)
(-.f64 (+.f64 (*.f64 (log.f64 y) (neg.f64 y)) y) z)
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(+.f64 x (-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y))))
(-.f64 (+.f64 (-.f64 x (*.f64 y (log.f64 y))) y) z)
(+.f64 x (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))))
(-.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) z)
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
(-.f64 (+.f64 (-.f64 x (/.f64 (log.f64 y) (/.f64 1 (+.f64 y 1/2)))) y) z)
(-.f64 (+.f64 (-.f64 x (/.f64 (+.f64 y 1/2) (/.f64 1 (log.f64 y)))) y) z)
(-.f64 (+.f64 (-.f64 x (/.f64 1 (/.f64 1 (*.f64 (+.f64 y 1/2) (log.f64 y))))) y) z)
(-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (log.f64 y) (*.f64 y y)) (+.f64 y -1/2))) y) z)
(+.f64 x (-.f64 y (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (log.f64 y)) (-.f64 1/2 y))))
(-.f64 (+.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 (*.f64 (/.f64 1 (+.f64 y -1/2)) (*.f64 y y)) (*.f64 (/.f64 1 (+.f64 y -1/2)) -1/4)))) y) z)
(-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)
(-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) z)
Outputs
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
Calls

5 calls:

119.0ms
y
72.0ms
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
32.0ms
(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
31.0ms
z
28.0ms
x
Results
ErrorSegmentsBranch
0.1b1x
0.1b1y
0.1b1z
0.1b1(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
0.1b1(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
Compiler

Compiled 309 to 171 computations (44.7% saved)

regimes218.0ms (1.6%)

Counts
19 → 3
Calls
Call 1
Inputs
x
x
(+.f64 x y)
(-.f64 x z)
(+.f64 x (-.f64 y z))
(*.f64 -1/2 (log.f64 y))
(-.f64 x (*.f64 1/2 (log.f64 y)))
(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z)
(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z)
(-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (*.f64 (-.f64 1 (log.f64 y)) y) z)
(+.f64 x (-.f64 y (*.f64 y (log.f64 y))))
(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z)
(-.f64 (+.f64 (*.f64 (log.f64 y) (neg.f64 y)) y) z)
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(+.f64 x (-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y))))
(-.f64 (+.f64 (-.f64 x (*.f64 y (log.f64 y))) y) z)
(+.f64 x (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))))
(-.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) z)
Outputs
(-.f64 (+.f64 (-.f64 x (*.f64 y (log.f64 y))) y) z)
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 (-.f64 x (*.f64 y (log.f64 y))) y) z)
Calls

3 calls:

113.0ms
z
58.0ms
x
38.0ms
y
Results
ErrorSegmentsBranch
6.1b1x
0.6b2y
0.3b3z
Compiler

Compiled 149 to 80 computations (46.3% saved)

bsearch154.0ms (1.1%)

Algorithm
binary-search
Steps
TimeLeftRight
89.0ms
6.296466275088776e-29
5.0375366231714095e-20
65.0ms
-31564090890905080.0
-837422239519298.5
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes178.0ms (1.3%)

Counts
16 → 4
Calls
Call 1
Inputs
x
x
(+.f64 x y)
(-.f64 x z)
(+.f64 x (-.f64 y z))
(*.f64 -1/2 (log.f64 y))
(-.f64 x (*.f64 1/2 (log.f64 y)))
(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z)
(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z)
(-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (*.f64 (-.f64 1 (log.f64 y)) y) z)
(+.f64 x (-.f64 y (*.f64 y (log.f64 y))))
(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z)
(-.f64 (+.f64 (*.f64 (log.f64 y) (neg.f64 y)) y) z)
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(+.f64 x (-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y))))
Outputs
(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z)
(-.f64 (*.f64 (-.f64 1 (log.f64 y)) y) z)
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (*.f64 (-.f64 1 (log.f64 y)) y) z)
Calls

3 calls:

65.0ms
z
61.0ms
y
45.0ms
x
Results
ErrorSegmentsBranch
10.4b4x
5.2b4y
5.6b3z
Compiler

Compiled 115 to 59 computations (48.7% saved)

bsearch84.0ms (0.6%)

Algorithm
binary-search
Steps
TimeLeftRight
27.0ms
9.698341586155877e+114
1.3920995045123337e+118
29.0ms
9.63090901050823e+83
2.206530399144413e+84
28.0ms
3.4375280249756666e+36
1.9389176661029552e+37
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes155.0ms (1.1%)

Counts
14 → 4
Calls
Call 1
Inputs
x
x
(+.f64 x y)
(-.f64 x z)
(+.f64 x (-.f64 y z))
(*.f64 -1/2 (log.f64 y))
(-.f64 x (*.f64 1/2 (log.f64 y)))
(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z)
(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z)
(-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (*.f64 (-.f64 1 (log.f64 y)) y) z)
(+.f64 x (-.f64 y (*.f64 y (log.f64 y))))
(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z)
(-.f64 (+.f64 (*.f64 (log.f64 y) (neg.f64 y)) y) z)
Outputs
(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z)
(-.f64 (*.f64 (-.f64 1 (log.f64 y)) y) z)
(+.f64 x (-.f64 y (*.f64 y (log.f64 y))))
(-.f64 (*.f64 (-.f64 1 (log.f64 y)) y) z)
Calls

3 calls:

69.0ms
x
49.0ms
z
31.0ms
y
Results
ErrorSegmentsBranch
10.5b4x
5.2b4y
10.3b5z
Compiler

Compiled 95 to 49 computations (48.4% saved)

bsearch159.0ms (1.2%)

Algorithm
binary-search
Steps
TimeLeftRight
49.0ms
9.698341586155877e+114
1.3920995045123337e+118
53.0ms
9.63090901050823e+83
2.206530399144413e+84
57.0ms
3.4375280249756666e+36
1.9389176661029552e+37
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes268.0ms (2%)

Counts
11 → 2
Calls
Call 1
Inputs
x
x
(+.f64 x y)
(-.f64 x z)
(+.f64 x (-.f64 y z))
(*.f64 -1/2 (log.f64 y))
(-.f64 x (*.f64 1/2 (log.f64 y)))
(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z)
(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z)
(-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (*.f64 (-.f64 1 (log.f64 y)) y) z)
Outputs
(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z)
(-.f64 (*.f64 (-.f64 1 (log.f64 y)) y) z)
Calls

3 calls:

110.0ms
x
79.0ms
z
74.0ms
y
Results
ErrorSegmentsBranch
11.6b3x
6.3b2y
15.0b5z
Compiler

Compiled 70 to 38 computations (45.7% saved)

bsearch82.0ms (0.6%)

Algorithm
binary-search
Steps
TimeLeftRight
82.0ms
3.4375280249756666e+36
1.9389176661029552e+37
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes449.0ms (3.3%)

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

3 calls:

310.0ms
x
100.0ms
z
34.0ms
y
Results
ErrorSegmentsBranch
14.7b9x
10.8b2y
17.1b3z
Compiler

Compiled 62 to 34 computations (45.2% saved)

bsearch43.0ms (0.3%)

Algorithm
binary-search
Steps
TimeLeftRight
43.0ms
5.256779691689081e+104
7.692580157497773e+104
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes27.0ms (0.2%)

Counts
9 → 1
Calls
Call 1
Inputs
x
x
(+.f64 x y)
(-.f64 x z)
(+.f64 x (-.f64 y z))
(*.f64 -1/2 (log.f64 y))
(-.f64 x (*.f64 1/2 (log.f64 y)))
(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z)
(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z)
Outputs
(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z)
Calls

3 calls:

12.0ms
z
6.0ms
x
6.0ms
y
Results
ErrorSegmentsBranch
22.5b1x
22.5b1y
22.5b1z
Compiler

Compiled 54 to 30 computations (44.4% saved)

regimes71.0ms (0.5%)

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

3 calls:

47.0ms
y
17.0ms
z
5.0ms
x
Results
ErrorSegmentsBranch
28.4b1x
28.4b1y
22.7b3z
Compiler

Compiled 38 to 22 computations (42.1% saved)

bsearch51.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
25.0ms
0.0009920178365559536
37516178.0886081
26.0ms
-31564090890905080.0
-837422239519298.5
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes74.0ms (0.5%)

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

3 calls:

62.0ms
z
5.0ms
x
5.0ms
y
Results
ErrorSegmentsBranch
28.4b1x
28.4b1y
27.2b3z
Compiler

Compiled 32 to 19 computations (40.6% saved)

bsearch51.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
25.0ms
-3.752737417129341e-286
-6.273658862566676e-289
26.0ms
-4.73289115496012e-245
-6.3686835450050104e-254
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes17.0ms (0.1%)

Counts
5 → 1
Calls
Call 1
Inputs
x
x
(+.f64 x y)
(-.f64 x z)
(+.f64 x (-.f64 y z))
Outputs
(-.f64 x z)
Calls

3 calls:

6.0ms
z
5.0ms
y
4.0ms
x
Results
ErrorSegmentsBranch
28.4b1x
28.4b1y
28.4b1z
Compiler

Compiled 28 to 16 computations (42.9% saved)

regimes62.0ms (0.5%)

Accuracy

Total -0.6b remaining (-1.3%)

Threshold costs -0.6b (-1.3%)

Counts
3 → 1
Calls
Call 1
Inputs
x
x
(+.f64 x y)
Outputs
x
Calls

3 calls:

53.0ms
y
4.0ms
x
4.0ms
z
Results
ErrorSegmentsBranch
46.5b1x
46.5b1y
46.5b1z
Compiler

Compiled 20 to 13 computations (35% saved)

simplify18.0ms (0.1%)

Algorithm
egg-herbie
Rules
26×+-commutative_binary64
21×sub-neg_binary64
13×*-commutative_binary64
12×cancel-sign-sub-inv_binary64
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069358
1118358
2162358
3176358
4183358
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(-.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x) y) z)
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
(if (<=.f64 z -31564090890905080) (-.f64 (+.f64 (-.f64 x (*.f64 y (log.f64 y))) y) z) (if (<=.f64 z 5616635602075841/89202980794122492566142873090593446023921664) (-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y))) (-.f64 (+.f64 (-.f64 x (*.f64 y (log.f64 y))) y) z)))
(if (<=.f64 y 3437528024975666569545879794202181632) (-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z) (if (<=.f64 y 963090901050823049620474098336484792064159509119252502555804775733183942912194379776) (-.f64 (*.f64 (-.f64 1 (log.f64 y)) y) z) (if (<=.f64 y 9698341586155876544787934531981026848680574672572218350323230509347620137728646055804657125621890312570131898695680) (-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y))) (-.f64 (*.f64 (-.f64 1 (log.f64 y)) y) z))))
(if (<=.f64 y 3437528024975666569545879794202181632) (-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z) (if (<=.f64 y 963090901050823049620474098336484792064159509119252502555804775733183942912194379776) (-.f64 (*.f64 (-.f64 1 (log.f64 y)) y) z) (if (<=.f64 y 9698341586155876544787934531981026848680574672572218350323230509347620137728646055804657125621890312570131898695680) (+.f64 x (-.f64 y (*.f64 y (log.f64 y)))) (-.f64 (*.f64 (-.f64 1 (log.f64 y)) y) z))))
(if (<=.f64 y 3437528024975666569545879794202181632) (-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z) (-.f64 (*.f64 (-.f64 1 (log.f64 y)) y) z))
(if (<=.f64 y 525677969168908107701093751230886197958189045842384039740148663748381508022803984200931532074396715843584) (-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z) (-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y))))
(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z)
(if (<=.f64 z -31564090890905080) (-.f64 x z) (if (<=.f64 z 18299499147502708/18446744073709551616) (-.f64 x (*.f64 1/2 (log.f64 y))) (-.f64 x z)))
(if (<=.f64 z -5821605477542136/123003155723136208567847447683223664415731869180715065944930703618254955521953492303010368693540149343822709050322214299552689203876695953600699775494388206142090885899729347827083318884583758435450548517566916626912548274908112766882031433928533568160966639616) (-.f64 x z) (if (<=.f64 z -8042180885928101/21430172143725346418968500981200036211228096234110672148875007767407021022498722449863967576313917162551893458351062936503742905713846280871969155149397149607869135549648461970842149210124742283755908364306092949967163882534797535118331087892154125829142392955373084335320859663305248773674411336138752) (*.f64 -1/2 (log.f64 y)) (-.f64 x z)))
(-.f64 x z)
x
Outputs
(-.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x) y) z)
(-.f64 (+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x)) z)
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
(-.f64 (+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))) z)
(-.f64 (+.f64 y (+.f64 x (*.f64 (log.f64 y) (-.f64 -1/2 y)))) z)
(if (<=.f64 z -31564090890905080) (-.f64 (+.f64 (-.f64 x (*.f64 y (log.f64 y))) y) z) (if (<=.f64 z 5616635602075841/89202980794122492566142873090593446023921664) (-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y))) (-.f64 (+.f64 (-.f64 x (*.f64 y (log.f64 y))) y) z)))
(if (<=.f64 z -31564090890905080) (-.f64 (+.f64 y (-.f64 x (*.f64 y (log.f64 y)))) z) (if (<=.f64 z 5616635602075841/89202980794122492566142873090593446023921664) (-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y 1/2))) (-.f64 (+.f64 y (-.f64 x (*.f64 y (log.f64 y)))) z)))
(if (<=.f64 z -31564090890905080) (-.f64 (+.f64 y (-.f64 x (*.f64 y (log.f64 y)))) z) (if (<=.f64 z 5616635602075841/89202980794122492566142873090593446023921664) (+.f64 (+.f64 y x) (*.f64 (log.f64 y) (-.f64 -1/2 y))) (-.f64 (+.f64 y (-.f64 x (*.f64 y (log.f64 y)))) z)))
(if (<=.f64 y 3437528024975666569545879794202181632) (-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z) (if (<=.f64 y 963090901050823049620474098336484792064159509119252502555804775733183942912194379776) (-.f64 (*.f64 (-.f64 1 (log.f64 y)) y) z) (if (<=.f64 y 9698341586155876544787934531981026848680574672572218350323230509347620137728646055804657125621890312570131898695680) (-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y))) (-.f64 (*.f64 (-.f64 1 (log.f64 y)) y) z))))
(if (<=.f64 y 3437528024975666569545879794202181632) (-.f64 (+.f64 x (*.f64 (log.f64 y) -1/2)) z) (if (<=.f64 y 963090901050823049620474098336484792064159509119252502555804775733183942912194379776) (-.f64 (*.f64 y (-.f64 1 (log.f64 y))) z) (if (<=.f64 y 9698341586155876544787934531981026848680574672572218350323230509347620137728646055804657125621890312570131898695680) (-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 y 1/2))) (-.f64 (*.f64 y (-.f64 1 (log.f64 y))) z))))
(if (<=.f64 y 3437528024975666569545879794202181632) (-.f64 (+.f64 x (*.f64 (log.f64 y) -1/2)) z) (if (<=.f64 y 963090901050823049620474098336484792064159509119252502555804775733183942912194379776) (-.f64 (*.f64 y (-.f64 1 (log.f64 y))) z) (if (<=.f64 y 9698341586155876544787934531981026848680574672572218350323230509347620137728646055804657125621890312570131898695680) (+.f64 (+.f64 y x) (*.f64 (log.f64 y) (-.f64 -1/2 y))) (-.f64 (*.f64 y (-.f64 1 (log.f64 y))) z))))
(if (<=.f64 y 3437528024975666569545879794202181632) (-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z) (if (<=.f64 y 963090901050823049620474098336484792064159509119252502555804775733183942912194379776) (-.f64 (*.f64 (-.f64 1 (log.f64 y)) y) z) (if (<=.f64 y 9698341586155876544787934531981026848680574672572218350323230509347620137728646055804657125621890312570131898695680) (+.f64 x (-.f64 y (*.f64 y (log.f64 y)))) (-.f64 (*.f64 (-.f64 1 (log.f64 y)) y) z))))
(if (<=.f64 y 3437528024975666569545879794202181632) (-.f64 (+.f64 x (*.f64 (log.f64 y) -1/2)) z) (if (<=.f64 y 963090901050823049620474098336484792064159509119252502555804775733183942912194379776) (-.f64 (*.f64 y (-.f64 1 (log.f64 y))) z) (if (<=.f64 y 9698341586155876544787934531981026848680574672572218350323230509347620137728646055804657125621890312570131898695680) (+.f64 x (-.f64 y (*.f64 y (log.f64 y)))) (-.f64 (*.f64 y (-.f64 1 (log.f64 y))) z))))
(if (<=.f64 y 3437528024975666569545879794202181632) (-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z) (-.f64 (*.f64 (-.f64 1 (log.f64 y)) y) z))
(if (<=.f64 y 3437528024975666569545879794202181632) (-.f64 (+.f64 x (*.f64 (log.f64 y) -1/2)) z) (-.f64 (*.f64 y (-.f64 1 (log.f64 y))) z))
(if (<=.f64 y 525677969168908107701093751230886197958189045842384039740148663748381508022803984200931532074396715843584) (-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z) (-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y))))
(if (<=.f64 y 525677969168908107701093751230886197958189045842384039740148663748381508022803984200931532074396715843584) (-.f64 (+.f64 x (*.f64 (log.f64 y) -1/2)) z) (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))))
(if (<=.f64 y 525677969168908107701093751230886197958189045842384039740148663748381508022803984200931532074396715843584) (-.f64 (+.f64 x (*.f64 (log.f64 y) -1/2)) z) (+.f64 y (*.f64 (log.f64 y) (-.f64 -1/2 y))))
(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z)
(-.f64 (+.f64 x (*.f64 (log.f64 y) -1/2)) z)
(if (<=.f64 z -31564090890905080) (-.f64 x z) (if (<=.f64 z 18299499147502708/18446744073709551616) (-.f64 x (*.f64 1/2 (log.f64 y))) (-.f64 x z)))
(if (<=.f64 z -31564090890905080) (-.f64 x z) (if (<=.f64 z 4574874786875677/4611686018427387904) (+.f64 x (*.f64 (log.f64 y) -1/2)) (-.f64 x z)))
(if (<=.f64 z -5821605477542136/123003155723136208567847447683223664415731869180715065944930703618254955521953492303010368693540149343822709050322214299552689203876695953600699775494388206142090885899729347827083318884583758435450548517566916626912548274908112766882031433928533568160966639616) (-.f64 x z) (if (<=.f64 z -8042180885928101/21430172143725346418968500981200036211228096234110672148875007767407021022498722449863967576313917162551893458351062936503742905713846280871969155149397149607869135549648461970842149210124742283755908364306092949967163882534797535118331087892154125829142392955373084335320859663305248773674411336138752) (*.f64 -1/2 (log.f64 y)) (-.f64 x z)))
(if (<=.f64 z -727700684692767/15375394465392026070980930960402958051966483647589383243116337952281869440244186537876296086692518667977838631290276787444086150484586994200087471936798525767761360737466168478385414860572969804431318564695864578364068534363514095860253929241066696020120829952) (-.f64 x z) (if (<=.f64 z -8042180885928101/21430172143725346418968500981200036211228096234110672148875007767407021022498722449863967576313917162551893458351062936503742905713846280871969155149397149607869135549648461970842149210124742283755908364306092949967163882534797535118331087892154125829142392955373084335320859663305248773674411336138752) (*.f64 (log.f64 y) -1/2) (-.f64 x z)))
(-.f64 x z)
x
Compiler

Compiled 277 to 168 computations (39.4% saved)

soundness194.0ms (1.4%)

Algorithm
egg-herbie
Rules
683×sub-neg_binary64
399×+-commutative_binary64
366×neg-sub0_binary64
324×distribute-rgt-in_binary64
323×neg-mul-1_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
056698
1187664
2517584
31285584
43701584
55733584
66888584
77658584
87995584
Stop Event
node limit
Compiler

Compiled 95 to 71 computations (25.3% saved)

end280.0ms (2%)

Compiler

Compiled 244 to 122 computations (50% saved)

Profiling

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