Details

Time bar (total: 6.0s)

analyze145.0ms (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 (23.7%)

Results
1.4s8247×body64valid
4.0ms35×body64invalid
1.0msbody128valid
1.0msbody1024valid
0.0msbody512valid
0.0msbody256valid

preprocess93.0ms (1.6%)

Algorithm
egg-herbie
Rules
779×sub-neg_binary64
522×neg-sub0_binary64
501×unsub-neg_binary64
370×+-commutative_binary64
363×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02672
17572
224264
3106264
4317164
5490764
6637864
7741364
8767464
9786264
10793064
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 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 y z)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 x (-.f64 z y)))
(+.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 y (-.f64 (fma.f64 (log.f64 x) (-.f64 -1/2 x) x) z))
(fma.f64 (log.f64 x) (-.f64 -1/2 x) (-.f64 x (-.f64 z y)))
(-.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 z (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) x))
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 z x)))
(-.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)))
(+.f64 z (fma.f64 (log.f64 z) (-.f64 -1/2 z) (-.f64 x y)))
(+.f64 x (-.f64 z (fma.f64 (-.f64 z -1/2) (log.f64 z) y)))
Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify83.0ms (1.4%)

Algorithm
egg-herbie
Rules
780×fma-neg_binary64
608×unsub-neg_binary64
567×distribute-rgt-in_binary64
436×sub-neg_binary64
402×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01118
12518
27716
331216
494716
5280816
6440416
7489416
8505916
9508616
10510316
11541316
12628116
13786316
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 (fma.f64 (log.f64 y) (-.f64 -1/2 y) x) (-.f64 y z))
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y (-.f64 x z)))

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Compiled 84 to 53 computations (36.9% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series26.0ms (0.4%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
8.0ms
y
@0
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y (-.f64 x z)))
5.0ms
y
@-inf
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y (-.f64 x z)))
4.0ms
x
@0
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y (-.f64 x z)))
3.0ms
x
@-inf
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y (-.f64 x z)))
2.0ms
y
@inf
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y (-.f64 x z)))

rewrite83.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
534×log-prod_binary64
470×fma-def_binary64
381×pow-prod-down_binary64
322×pow2_binary64
228×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01016
123016
2331216
Stop Event
node limit
Counts
1 → 33
Calls
Call 1
Inputs
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y (-.f64 x z)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 y x) z) (*.f64 (log.f64 y) (-.f64 -1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (-.f64 (+.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) 1) (-.f64 (+.f64 y x) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 x z)) y)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x)) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))) 2) (cbrt.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))) (sqrt.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) 3) (pow.f64 (-.f64 (+.f64 y x) z) 3)) (+.f64 (pow.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) 2) (-.f64 (pow.f64 (-.f64 (+.f64 y x) z) 2) (*.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (-.f64 (+.f64 y x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) 2) (pow.f64 (-.f64 (+.f64 y x) z) 2)) (fma.f64 (log.f64 y) (-.f64 -1/2 y) (neg.f64 (-.f64 (+.f64 y x) z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (-.f64 (+.f64 y x) z)) (exp.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 (+.f64 y x) z))) (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 (-.f64 (+.f64 y x) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))))))))

simplify74.0ms (1.2%)

Algorithm
egg-herbie
Rules
913×fma-def_binary64
546×sub-neg_binary64
387×associate-+l+_binary64
360×unsub-neg_binary64
350×associate-+r+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
047639
1138579
2404494
31446494
45072494
56806494
67951494
Stop Event
node limit
Counts
69 → 51
Calls
Call 1
Inputs
(-.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) z)
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x)) z)
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x)) z)
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x)) z)
(*.f64 y (+.f64 1 (log.f64 (/.f64 1 y))))
(-.f64 (+.f64 x (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y)))))) z)
(-.f64 (+.f64 x (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y)))))) z)
(-.f64 (+.f64 x (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y)))))) z)
(*.f64 -1 (*.f64 y (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1)))
(-.f64 (+.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)) z)
(-.f64 (+.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)) z)
(-.f64 (+.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)) z)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) y) z)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z)
x
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z)
x
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z)
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)))
(*.f64 -1 z)
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)))
(*.f64 -1 z)
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)))
Outputs
(-.f64 (+.f64 (*.f64 -1/2 (log.f64 y)) x) z)
(-.f64 (fma.f64 -1/2 (log.f64 y) x) z)
(fma.f64 -1/2 (log.f64 y) (-.f64 x z))
(-.f64 x (fma.f64 (log.f64 y) 1/2 z))
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x)) z)
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z)
(-.f64 (fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 -1/2 (log.f64 y) x)) z)
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 x z)))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (-.f64 y -1/2) z)))
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x)) z)
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z)
(-.f64 (fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 -1/2 (log.f64 y) x)) z)
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 x z)))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (-.f64 y -1/2) z)))
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x)) z)
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z)
(-.f64 (fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 -1/2 (log.f64 y) x)) z)
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 x z)))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (-.f64 y -1/2) z)))
(*.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 (+.f64 x (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y)))))) z)
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(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z)
(-.f64 (fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 -1/2 (log.f64 y) x)) z)
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))
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(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (-.f64 y -1/2) z)))
x
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z)
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z)
(-.f64 (fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 -1/2 (log.f64 y) x)) z)
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(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z)
(-.f64 (fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 -1/2 (log.f64 y) x)) z)
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))
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(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z)
(-.f64 (fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 -1/2 (log.f64 y) x)) z)
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))
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(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (-.f64 y -1/2) z)))
x
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z)
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z)
(-.f64 (fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 -1/2 (log.f64 y) x)) z)
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))
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(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (-.f64 y -1/2) z)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z)
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z)
(-.f64 (fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 -1/2 (log.f64 y) x)) z)
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 x z)))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (-.f64 y -1/2) z)))
(-.f64 (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)) z)
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z)
(-.f64 (fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 -1/2 (log.f64 y) x)) z)
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 x z)))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (-.f64 y -1/2) z)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x))
(+.f64 (fma.f64 -1 (*.f64 (log.f64 y) (+.f64 y 1/2)) y) x)
(+.f64 x (fma.f64 (+.f64 -1/2 (neg.f64 y)) (log.f64 y) y))
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)))
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z)
(-.f64 (fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 -1/2 (log.f64 y) x)) z)
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 x z)))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (-.f64 y -1/2) z)))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)))
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z)
(-.f64 (fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 -1/2 (log.f64 y) x)) z)
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 x z)))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (-.f64 y -1/2) z)))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)))
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z)
(-.f64 (fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 -1/2 (log.f64 y) x)) z)
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 x z)))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (-.f64 y -1/2) z)))
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)))
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z)
(-.f64 (fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 -1/2 (log.f64 y) x)) z)
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 x z)))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (-.f64 y -1/2) z)))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)))
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z)
(-.f64 (fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 -1/2 (log.f64 y) x)) z)
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 x z)))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (-.f64 y -1/2) z)))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)))
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z)
(-.f64 (fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 -1/2 (log.f64 y) x)) z)
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 x z)))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (-.f64 y -1/2) z)))
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)))
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z)
(-.f64 (fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 -1/2 (log.f64 y) x)) z)
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 x z)))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (-.f64 y -1/2) z)))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)))
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z)
(-.f64 (fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 -1/2 (log.f64 y) x)) z)
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 x z)))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (-.f64 y -1/2) z)))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1 (*.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 y x)))
(-.f64 (fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (fma.f64 -1/2 (log.f64 y) x)) z)
(-.f64 (fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 -1/2 (log.f64 y) x)) z)
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 x z)))
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (-.f64 y -1/2) z)))

prune65.0ms (1.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New45651
Fresh101
Picked101
Done000
Total47653
Error
0.0b
Counts
53 → 6
Alt Table
StatusErrorProgram
42.9b
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z)) 3))
0.1b
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 x z)) y)
0.1b
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x)) z)
42.9b
(/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) 3) (pow.f64 (-.f64 (+.f64 y x) z) 3)) (+.f64 (pow.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) 2) (-.f64 (pow.f64 (-.f64 (+.f64 y x) z) 2) (*.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (-.f64 (+.f64 y x) z)))))
1.4b
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))) 2) (cbrt.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))))
1.4b
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))) 3)
Compiler

Compiled 1066 to 586 computations (45% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series105.0ms (1.8%)

Counts
4 → 39
Calls

18 calls:

TimeVariablePointExpression
66.0ms
y
@0
(*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y))))
25.0ms
y
@-inf
(*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y))))
7.0ms
y
@inf
(*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y))))
1.0ms
y
@inf
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x))
1.0ms
x
@0
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x))

rewrite130.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
809×fma-def_binary64
605×log-prod_binary64
405×fma-neg_binary64
225×expm1-udef_binary64
225×log1p-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01344
128438
2407936
Stop Event
node limit
Counts
4 → 259
Calls
Call 1
Inputs
(*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y))))
(+.f64 1 (*.f64 -1 (log.f64 y)))
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x))
(+.f64 (*.f64 -1/2 (log.f64 y)) x)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (log.f64 y) -1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (log.f64 (pow.f64 y -1/2)) 2) (-.f64 (log.f64 (pow.f64 y -1/2)) x)) (/.f64 (*.f64 x x) (-.f64 (log.f64 (pow.f64 y -1/2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (log.f64 y) -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (log.f64 y) -1/2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (log.f64 y) -1/2 x)) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) -1/2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) -1/2 x)) 2) (cbrt.f64 (fma.f64 (log.f64 y) -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (log.f64 y) -1/2 x)) (sqrt.f64 (fma.f64 (log.f64 y) -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/8 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (-.f64 x (log.f64 (pow.f64 y -1/2))) (pow.f64 (log.f64 (pow.f64 y -1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 y -1/2)) 2) (*.f64 x x)) (/.f64 1 (-.f64 (log.f64 (pow.f64 y -1/2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x (-.f64 x (log.f64 (pow.f64 y -1/2))) (pow.f64 (log.f64 (pow.f64 y -1/2)) 2)) (fma.f64 -1/8 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (log.f64 (pow.f64 y -1/2)) x) (-.f64 (pow.f64 (log.f64 (pow.f64 y -1/2)) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1/8 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (log.f64 (pow.f64 y -1/2))) (pow.f64 (log.f64 (pow.f64 y -1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1/8 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)) (fma.f64 x x (-.f64 (pow.f64 (log.f64 (pow.f64 y -1/2)) 2) (*.f64 (log.f64 (pow.f64 y -1/2)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 y -1/2)) 2) (*.f64 x x)) (-.f64 (log.f64 (pow.f64 y -1/2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 -1/8 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x (-.f64 x (log.f64 (pow.f64 y -1/2))) (pow.f64 (log.f64 (pow.f64 y -1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 y -1/2)) 2) (*.f64 x x))) (neg.f64 (-.f64 (log.f64 (pow.f64 y -1/2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 (pow.f64 y -1/2)) 2)) (-.f64 x (log.f64 (pow.f64 y -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (log.f64 y) -1/2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) -1/2 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (log.f64 y) -1/2 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (log.f64 y) -1/2 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (-.f64 x (log.f64 (pow.f64 y -1/2))) (pow.f64 (log.f64 (pow.f64 y -1/2)) 2)) (fma.f64 -1/8 (pow.f64 (log.f64 y) 3) (pow.f64 x 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (log.f64 (pow.f64 y -1/2)) x) (-.f64 (pow.f64 (log.f64 (pow.f64 y -1/2)) 2) (*.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (log.f64 y) -1/2 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (pow.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (log.f64 y) -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (-.f64 (pow.f64 y -1/2) 1)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 y -1/2) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (-.f64 (pow.f64 y -1/2) 1)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (+.f64 1 (-.f64 (pow.f64 y -1/2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (-.f64 (pow.f64 y -1/2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (log.f64 y) -1/2 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (log.f64 y) -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (log.f64 y) -1/2 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 (pow.f64 y -1/2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (log.f64 (pow.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 y) -1/2 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (log.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 (pow.f64 y -1/2)) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (log.f64 (pow.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (log.f64 (pow.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (log.f64 (pow.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (*.f64 (cbrt.f64 (log.f64 y)) -1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (log.f64 (pow.f64 y -1/2))) (pow.f64 (cbrt.f64 (log.f64 (pow.f64 y -1/2))) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 y -1/2))) 2) (cbrt.f64 (log.f64 (pow.f64 y -1/2))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (log.f64 (pow.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) -1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 (pow.f64 y -1/2))) (sqrt.f64 (log.f64 (pow.f64 y -1/2))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (log.f64 y) -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (log.f64 y) -1/2 x)))))))

simplify76.0ms (1.3%)

Algorithm
egg-herbie
Rules
500×fma-def_binary64
420×distribute-rgt-out--_binary64
418×associate-+l-_binary64
376×unsub-neg_binary64
329×fma-neg_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
034396
196334
2262321
3742306
42108299
54781299
66073299
76950299
87649299
Stop Event
node limit
Counts
298 → 273
Calls
Call 1
Inputs
(*.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 y (+.f64 1 (*.f64 -1 (+.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 1 (*.f64 -1 (+.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 1 (log.f64 (/.f64 1 y)))
(+.f64 1 (log.f64 (/.f64 1 y)))
(+.f64 1 (log.f64 (/.f64 1 y)))
(+.f64 1 (log.f64 (/.f64 1 y)))
(+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(+.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 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 -1/2 (+.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 -1/2 (+.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 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (*.f64 -1/2 (log.f64 y)))
x
x
(+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) x)
(+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) x)
(+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) x)
(+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) x)
(+.f64 (*.f64 -1/2 (+.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))) x)
(+.f64 (*.f64 -1/2 (+.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))) x)
(*.f64 -1/2 (log.f64 y))
x
x
Outputs
(*.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)))
(fma.f64 y (neg.f64 (log.f64 y)) 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)))
(fma.f64 y (neg.f64 (log.f64 y)) 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)))
(fma.f64 y (neg.f64 (log.f64 y)) 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)))
(fma.f64 y (neg.f64 (log.f64 y)) y)
(-.f64 y (*.f64 y (log.f64 y)))
(*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))))
(*.f64 y (+.f64 1 (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 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))))
(*.f64 y (+.f64 1 (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 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))))
(*.f64 y (+.f64 1 (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 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))))
(*.f64 y (+.f64 1 (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 1 (log.f64 (/.f64 1 y)))
(+.f64 1 (neg.f64 (log.f64 y)))
(-.f64 1 (log.f64 y))
(+.f64 1 (log.f64 (/.f64 1 y)))
(+.f64 1 (neg.f64 (log.f64 y)))
(-.f64 1 (log.f64 y))
(+.f64 1 (log.f64 (/.f64 1 y)))
(+.f64 1 (neg.f64 (log.f64 y)))
(-.f64 1 (log.f64 y))
(+.f64 1 (log.f64 (/.f64 1 y)))
(+.f64 1 (neg.f64 (log.f64 y)))
(-.f64 1 (log.f64 y))
(+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(+.f64 1 (neg.f64 (log.f64 y)))
(-.f64 1 (log.f64 y))
(+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(+.f64 1 (neg.f64 (log.f64 y)))
(-.f64 1 (log.f64 y))
(+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(+.f64 1 (neg.f64 (log.f64 y)))
(-.f64 1 (log.f64 y))
(+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(+.f64 1 (neg.f64 (log.f64 y)))
(-.f64 1 (log.f64 y))
(+.f64 (*.f64 -1/2 (log.f64 y)) x)
(fma.f64 -1/2 (log.f64 y) x)
(*.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)))
(fma.f64 y (neg.f64 (log.f64 y)) 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))))))
(+.f64 (fma.f64 1/2 (neg.f64 (log.f64 y)) x) (*.f64 y (+.f64 1 (neg.f64 (log.f64 y)))))
(+.f64 (*.f64 y (-.f64 1 (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 y (fma.f64 (log.f64 y) (fma.f64 y -1 -1/2) x))
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))
(+.f64 x (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y))))))
(+.f64 (fma.f64 1/2 (neg.f64 (log.f64 y)) x) (*.f64 y (+.f64 1 (neg.f64 (log.f64 y)))))
(+.f64 (*.f64 y (-.f64 1 (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 y (fma.f64 (log.f64 y) (fma.f64 y -1 -1/2) x))
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))
(+.f64 x (+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y))))))
(+.f64 (fma.f64 1/2 (neg.f64 (log.f64 y)) x) (*.f64 y (+.f64 1 (neg.f64 (log.f64 y)))))
(+.f64 (*.f64 y (-.f64 1 (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 y (fma.f64 (log.f64 y) (fma.f64 y -1 -1/2) x))
(+.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 (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 -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 (fma.f64 1/2 (neg.f64 (log.f64 y)) x) (*.f64 y (+.f64 1 (neg.f64 (log.f64 y)))))
(+.f64 (*.f64 y (-.f64 1 (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 y (fma.f64 (log.f64 y) (fma.f64 y -1 -1/2) x))
(+.f64 y (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 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x))
(+.f64 (fma.f64 1/2 (neg.f64 (log.f64 y)) x) (*.f64 y (+.f64 1 (neg.f64 (log.f64 y)))))
(+.f64 (*.f64 y (-.f64 1 (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 y (fma.f64 (log.f64 y) (fma.f64 y -1 -1/2) x))
(+.f64 y (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 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x))
(+.f64 (fma.f64 1/2 (neg.f64 (log.f64 y)) x) (*.f64 y (+.f64 1 (neg.f64 (log.f64 y)))))
(+.f64 (*.f64 y (-.f64 1 (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 y (fma.f64 (log.f64 y) (fma.f64 y -1 -1/2) x))
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))
(+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (*.f64 -1/2 (log.f64 y)))
(fma.f64 y (+.f64 1 (neg.f64 (log.f64 y))) (*.f64 -1/2 (log.f64 y)))
(fma.f64 y (-.f64 1 (log.f64 y)) (*.f64 -1/2 (log.f64 y)))
(+.f64 y (*.f64 (neg.f64 (log.f64 y)) (+.f64 y 1/2)))
(fma.f64 (log.f64 y) (fma.f64 y -1 -1/2) y)
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)
x
x
(+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) x)
(fma.f64 -1/2 (log.f64 y) x)
(+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) x)
(fma.f64 -1/2 (log.f64 y) x)
(+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) x)
(fma.f64 -1/2 (log.f64 y) x)
(+.f64 (*.f64 1/2 (log.f64 (/.f64 1 y))) x)
(fma.f64 -1/2 (log.f64 y) x)
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) x)
(fma.f64 -1/2 (log.f64 y) x)
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) x)
(fma.f64 -1/2 (log.f64 y) x)
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) x)
(fma.f64 -1/2 (log.f64 y) x)
(+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) x)
(fma.f64 -1/2 (log.f64 y) x)
(*.f64 -1/2 (log.f64 y))
x
x

prune1.3s (21.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New2694273
Fresh145
Picked101
Done000
Total2718279
Error
0.0b
Counts
279 → 8
Alt Table
StatusErrorProgram
42.9b
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z)) 3))
0.1b
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 x z)) y)
1.4b
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))) 3)
32.7b
(-.f64 (+.f64 (*.f64 y (fma.f64 (sqrt.f64 (log.f64 y)) (neg.f64 (sqrt.f64 (log.f64 y))) 1)) (+.f64 (*.f64 -1/2 (log.f64 y)) x)) z)
1.4b
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))) 2) (cbrt.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))))
19.1b
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (*.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 y -1/2)) 2) (*.f64 x x)) (/.f64 1 (-.f64 (log.f64 (pow.f64 y -1/2)) x)))) z)
0.1b
(-.f64 (+.f64 (-.f64 y (*.f64 y (log.f64 y))) (+.f64 (*.f64 -1/2 (log.f64 y)) x)) z)
0.2b
(-.f64 (+.f64 (*.f64 y (-.f64 (/.f64 1 (+.f64 1 (log.f64 y))) (/.f64 (pow.f64 (log.f64 y) 2) (+.f64 1 (log.f64 y))))) (+.f64 (*.f64 -1/2 (log.f64 y)) x)) z)
Compiler

Compiled 6096 to 3170 computations (48% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 -1/2 (log.f64 y)) x)
0.0b
(+.f64 (-.f64 y (*.f64 y (log.f64 y))) (+.f64 (*.f64 -1/2 (log.f64 y)) x))
0.2b
(-.f64 y (*.f64 y (log.f64 y)))
0.3b
(*.f64 y (log.f64 y))

series5.0ms (0.1%)

Counts
3 → 44
Calls

12 calls:

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

rewrite93.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
832×fma-def_binary64
597×log-prod_binary64
452×fma-neg_binary64
220×pow1/3_binary64
219×expm1-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01033
123633
2370931
Stop Event
node limit
Counts
3 → 225
Calls
Call 1
Inputs
(*.f64 y (log.f64 y))
(-.f64 y (*.f64 y (log.f64 y)))
(+.f64 (-.f64 y (*.f64 y (log.f64 y))) (+.f64 (*.f64 -1/2 (log.f64 y)) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 y y)) (cbrt.f64 (pow.f64 y y)))) (log.f64 (cbrt.f64 (pow.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 y y))) (log.f64 (sqrt.f64 (pow.f64 y y))))))) (#(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 exp.f64 (log.f64 (*.f64 y (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (log.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 y y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (log.f64 y))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 (log.f64 y) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 (*.f64 (log.f64 y) (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (-.f64 1 (log.f64 y))) (fma.f64 (*.f64 (log.f64 y) (neg.f64 y)) 1 (*.f64 y (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (-.f64 1 (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 y (-.f64 1 (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 (log.f64 y) (neg.f64 y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (-.f64 1 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (/.f64 (exp.f64 y) (pow.f64 y y))) (cbrt.f64 (/.f64 (exp.f64 y) (pow.f64 y y))))) (log.f64 (cbrt.f64 (/.f64 (exp.f64 y) (pow.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 (exp.f64 y) (pow.f64 y y)))) (log.f64 (sqrt.f64 (/.f64 (exp.f64 y) (pow.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (-.f64 1 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (-.f64 1 (log.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y (-.f64 1 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (-.f64 1 (log.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 y (-.f64 1 (log.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 1 (log.f64 y)))) 2) (cbrt.f64 (*.f64 y (-.f64 1 (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (-.f64 1 (log.f64 y)))) (sqrt.f64 (*.f64 y (-.f64 1 (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 y 3) (pow.f64 (*.f64 y (log.f64 y)) 3)) (/.f64 1 (fma.f64 y y (*.f64 (*.f64 y (log.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)) (/.f64 1 (fma.f64 y (log.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 y (log.f64 y)))) (-.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 y (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 y y (*.f64 (*.f64 y (log.f64 y)) (fma.f64 y (log.f64 y) y))) (-.f64 (pow.f64 y 3) (pow.f64 (*.f64 y (log.f64 y)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 y (log.f64 y) y) (-.f64 (*.f64 y y) (pow.f64 (*.f64 y (log.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 y 3) (pow.f64 (*.f64 y (log.f64 y)) 3)) (fma.f64 y y (*.f64 (*.f64 y (log.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 /.f64 (neg.f64 (-.f64 (pow.f64 y 3) (pow.f64 (*.f64 y (log.f64 y)) 3))) (neg.f64 (fma.f64 y y (*.f64 (*.f64 y (log.f64 y)) (fma.f64 y (log.f64 y) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y (log.f64 y)) 2))) (neg.f64 (fma.f64 y (log.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 y 3) (pow.f64 (*.f64 (log.f64 y) (neg.f64 y)) 3)) (fma.f64 y y (-.f64 (*.f64 (*.f64 (log.f64 y) (neg.f64 y)) (*.f64 (log.f64 y) (neg.f64 y))) (*.f64 y (*.f64 (log.f64 y) (neg.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 y y) (*.f64 (*.f64 (log.f64 y) (neg.f64 y)) (*.f64 (log.f64 y) (neg.f64 y)))) (-.f64 y (*.f64 (log.f64 y) (neg.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 (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 pow.f64 (pow.f64 (*.f64 y (-.f64 1 (log.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 y y (*.f64 (*.f64 y (log.f64 y)) (fma.f64 y (log.f64 y) y))) (-.f64 (pow.f64 y 3) (pow.f64 (*.f64 y (log.f64 y)) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 y (log.f64 y) y) (-.f64 (*.f64 y y) (pow.f64 (*.f64 y (log.f64 y)) 2))) -1)))) (#(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 (/.f64 (exp.f64 y) (pow.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (-.f64 1 (log.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 y)) (pow.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 y) (+.f64 1 (-.f64 (pow.f64 y y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 y)) (+.f64 1 (-.f64 (pow.f64 y y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 y)) (exp.f64 (*.f64 (log.f64 y) (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 y) (/.f64 1 (pow.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 y)) (/.f64 1 (pow.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (log.f64 y) (neg.f64 y))) (exp.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (/.f64 1 (pow.f64 y y)) (exp.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (log.f64 y) (neg.f64 y))) (+.f64 1 (expm1.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (/.f64 1 (pow.f64 y y)) (+.f64 1 (expm1.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (-.f64 1 (log.f64 y))) 3))))) 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(pow.f64 y -1/2)))) (cbrt.f64 (fma.f64 y (-.f64 1 (log.f64 y)) (log.f64 (pow.f64 y -1/2))))) (cbrt.f64 (fma.f64 y (-.f64 1 (log.f64 y)) (log.f64 (pow.f64 y -1/2)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 y (-.f64 1 (log.f64 y)) (log.f64 (pow.f64 y -1/2)))) (sqrt.f64 (fma.f64 y (-.f64 1 (log.f64 y)) (log.f64 (pow.f64 y -1/2)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 y (log.f64 y)))) (-.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 y (log.f64 y)))) (fma.f64 (log.f64 y) -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)) (+.f64 x (*.f64 y (-.f64 1 (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) (+.f64 x (*.f64 y (-.f64 1 (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 (log.f64 y) -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 (log.f64 y) -1/2 x))))))))

simplify79.0ms (1.3%)

Algorithm
egg-herbie
Rules
595×sub-neg_binary64
571×unsub-neg_binary64
560×fma-def_binary64
480×fma-neg_binary64
409×distribute-neg-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
040520
1123465
2321427
3902427
42388427
55226427
67263427
77930427
Stop Event
node limit
Counts
269 → 241
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 (-.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 (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 y (+.f64 1 (*.f64 -1 (+.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 1 (*.f64 -1 (+.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 (log.f64 y)) x)
(+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) (+.f64 (*.f64 -1/2 (log.f64 y)) x))
(+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) (+.f64 (*.f64 -1/2 (log.f64 y)) x))
(+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) (+.f64 (*.f64 -1/2 (log.f64 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))))) (+.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 -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 -1/2 (+.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 -1/2 (+.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 y (*.f64 -1/2 (log.f64 y))) (*.f64 y (log.f64 y)))
(-.f64 (+.f64 y (+.f64 (*.f64 -1/2 (log.f64 y)) x)) (*.f64 y (log.f64 y)))
(-.f64 (+.f64 y (+.f64 (*.f64 -1/2 (log.f64 y)) x)) (*.f64 y (log.f64 y)))
(-.f64 (+.f64 y (+.f64 (*.f64 -1/2 (log.f64 y)) x)) (*.f64 y (log.f64 y)))
x
(-.f64 (+.f64 y (+.f64 (*.f64 -1/2 (log.f64 y)) x)) (*.f64 y (log.f64 y)))
(-.f64 (+.f64 y (+.f64 (*.f64 -1/2 (log.f64 y)) x)) (*.f64 y (log.f64 y)))
(-.f64 (+.f64 y (+.f64 (*.f64 -1/2 (log.f64 y)) x)) (*.f64 y (log.f64 y)))
x
(-.f64 (+.f64 y (+.f64 (*.f64 -1/2 (log.f64 y)) x)) (*.f64 y (log.f64 y)))
(-.f64 (+.f64 y (+.f64 (*.f64 -1/2 (log.f64 y)) x)) (*.f64 y (log.f64 y)))
(-.f64 (+.f64 y (+.f64 (*.f64 -1/2 (log.f64 y)) x)) (*.f64 y (log.f64 y)))
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 (-.f64 1 (log.f64 y)) 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 1 (log.f64 y)) 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 1 (log.f64 y)) 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 1 (log.f64 y)) 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 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 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 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 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 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 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 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 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 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))))
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(fma.f64 (log.f64 y) (neg.f64 y) y)
(*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))))
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(fma.f64 (log.f64 y) (neg.f64 y) y)
(*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))))
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(fma.f64 (log.f64 y) (neg.f64 y) y)
(*.f64 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))))
(*.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 -1/2 (log.f64 y)) x)
(fma.f64 -1/2 (log.f64 y) x)
(fma.f64 (log.f64 y) -1/2 x)
(+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) (+.f64 (*.f64 -1/2 (log.f64 y)) x))
(fma.f64 (-.f64 1 (log.f64 y)) y (fma.f64 -1/2 (log.f64 y) x))
(+.f64 y (+.f64 x (*.f64 (log.f64 y) (-.f64 -1/2 y))))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))
(+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) (+.f64 (*.f64 -1/2 (log.f64 y)) x))
(fma.f64 (-.f64 1 (log.f64 y)) y (fma.f64 -1/2 (log.f64 y) x))
(+.f64 y (+.f64 x (*.f64 (log.f64 y) (-.f64 -1/2 y))))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))
(+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) (+.f64 (*.f64 -1/2 (log.f64 y)) x))
(fma.f64 (-.f64 1 (log.f64 y)) y (fma.f64 -1/2 (log.f64 y) x))
(+.f64 y (+.f64 x (*.f64 (log.f64 y) (-.f64 -1/2 y))))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) 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 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(fma.f64 (log.f64 y) (neg.f64 y) y)
(+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 x (*.f64 1/2 (log.f64 (/.f64 1 y)))))
(fma.f64 (-.f64 1 (log.f64 y)) y (fma.f64 -1/2 (log.f64 y) x))
(+.f64 y (+.f64 x (*.f64 (log.f64 y) (-.f64 -1/2 y))))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))
(+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 x (*.f64 1/2 (log.f64 (/.f64 1 y)))))
(fma.f64 (-.f64 1 (log.f64 y)) y (fma.f64 -1/2 (log.f64 y) x))
(+.f64 y (+.f64 x (*.f64 (log.f64 y) (-.f64 -1/2 y))))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))
(+.f64 (*.f64 y (-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 x (*.f64 1/2 (log.f64 (/.f64 1 y)))))
(fma.f64 (-.f64 1 (log.f64 y)) y (fma.f64 -1/2 (log.f64 y) x))
(+.f64 y (+.f64 x (*.f64 (log.f64 y) (-.f64 -1/2 y))))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) 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 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(fma.f64 (log.f64 y) (neg.f64 y) 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 (-.f64 1 (log.f64 y)) y (fma.f64 -1/2 (log.f64 y) x))
(+.f64 y (+.f64 x (*.f64 (log.f64 y) (-.f64 -1/2 y))))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(+.f64 y (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 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x))
(fma.f64 (-.f64 1 (log.f64 y)) y (fma.f64 -1/2 (log.f64 y) x))
(+.f64 y (+.f64 x (*.f64 (log.f64 y) (-.f64 -1/2 y))))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(+.f64 y (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 y (+.f64 1 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x))
(fma.f64 (-.f64 1 (log.f64 y)) y (fma.f64 -1/2 (log.f64 y) x))
(+.f64 y (+.f64 x (*.f64 (log.f64 y) (-.f64 -1/2 y))))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))
(-.f64 (+.f64 y (*.f64 -1/2 (log.f64 y))) (*.f64 y (log.f64 y)))
(+.f64 y (-.f64 (*.f64 (log.f64 y) -1/2) (*.f64 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 (+.f64 (*.f64 -1/2 (log.f64 y)) x)) (*.f64 y (log.f64 y)))
(fma.f64 (-.f64 1 (log.f64 y)) y (fma.f64 -1/2 (log.f64 y) x))
(+.f64 y (+.f64 x (*.f64 (log.f64 y) (-.f64 -1/2 y))))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))
(-.f64 (+.f64 y (+.f64 (*.f64 -1/2 (log.f64 y)) x)) (*.f64 y (log.f64 y)))
(fma.f64 (-.f64 1 (log.f64 y)) y (fma.f64 -1/2 (log.f64 y) x))
(+.f64 y (+.f64 x (*.f64 (log.f64 y) (-.f64 -1/2 y))))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))
(-.f64 (+.f64 y (+.f64 (*.f64 -1/2 (log.f64 y)) x)) (*.f64 y (log.f64 y)))
(fma.f64 (-.f64 1 (log.f64 y)) y (fma.f64 -1/2 (log.f64 y) x))
(+.f64 y (+.f64 x (*.f64 (log.f64 y) (-.f64 -1/2 y))))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))
x
(-.f64 (+.f64 y (+.f64 (*.f64 -1/2 (log.f64 y)) x)) (*.f64 y (log.f64 y)))
(fma.f64 (-.f64 1 (log.f64 y)) y (fma.f64 -1/2 (log.f64 y) x))
(+.f64 y (+.f64 x (*.f64 (log.f64 y) (-.f64 -1/2 y))))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))
(-.f64 (+.f64 y (+.f64 (*.f64 -1/2 (log.f64 y)) x)) (*.f64 y (log.f64 y)))
(fma.f64 (-.f64 1 (log.f64 y)) y (fma.f64 -1/2 (log.f64 y) x))
(+.f64 y (+.f64 x (*.f64 (log.f64 y) (-.f64 -1/2 y))))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))
(-.f64 (+.f64 y (+.f64 (*.f64 -1/2 (log.f64 y)) x)) (*.f64 y (log.f64 y)))
(fma.f64 (-.f64 1 (log.f64 y)) y (fma.f64 -1/2 (log.f64 y) x))
(+.f64 y (+.f64 x (*.f64 (log.f64 y) (-.f64 -1/2 y))))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))
x
(-.f64 (+.f64 y (+.f64 (*.f64 -1/2 (log.f64 y)) x)) (*.f64 y (log.f64 y)))
(fma.f64 (-.f64 1 (log.f64 y)) y (fma.f64 -1/2 (log.f64 y) x))
(+.f64 y (+.f64 x (*.f64 (log.f64 y) (-.f64 -1/2 y))))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))
(-.f64 (+.f64 y (+.f64 (*.f64 -1/2 (log.f64 y)) x)) (*.f64 y (log.f64 y)))
(fma.f64 (-.f64 1 (log.f64 y)) y (fma.f64 -1/2 (log.f64 y) x))
(+.f64 y (+.f64 x (*.f64 (log.f64 y) (-.f64 -1/2 y))))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))
(-.f64 (+.f64 y (+.f64 (*.f64 -1/2 (log.f64 y)) x)) (*.f64 y (log.f64 y)))
(fma.f64 (-.f64 1 (log.f64 y)) y (fma.f64 -1/2 (log.f64 y) x))
(+.f64 y (+.f64 x (*.f64 (log.f64 y) (-.f64 -1/2 y))))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(+.f64 y (fma.f64 (log.f64 y) (-.f64 -1/2 y) x))

prune1.7s (27.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2915296
Fresh707
Picked011
Done000
Total2986304
Error
0.0b
Counts
304 → 6
Alt Table
StatusErrorProgram
32.7b
(-.f64 (fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 y (log.f64 y)))) (-.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 y (log.f64 y)))) (fma.f64 (log.f64 y) -1/2 x)) z)
0.4b
(-.f64 (+.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 y (log.f64 y))) 2)) (cbrt.f64 (*.f64 y (log.f64 y))) y) (+.f64 (*.f64 -1/2 (log.f64 y)) x)) z)
0.1b
(-.f64 (+.f64 (fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 (neg.f64 y) (log.f64 y) (*.f64 y (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x)) z)
19.1b
(-.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 y -1/2)) 2) (*.f64 x x)) (/.f64 1 (-.f64 (log.f64 (pow.f64 y -1/2)) x)) (*.f64 y (-.f64 1 (log.f64 y)))) z)
0.1b
(-.f64 (+.f64 (-.f64 y (*.f64 y (log.f64 y))) (+.f64 (*.f64 -1/2 (log.f64 y)) x)) z)
0.4b
(-.f64 (+.f64 (fma.f64 (*.f64 (neg.f64 y) (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)) y) (+.f64 (*.f64 -1/2 (log.f64 y)) x)) z)
Compiler

Compiled 7419 to 3551 computations (52.1% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 1 (log.f64 y))
0.2b
(fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 (neg.f64 y) (log.f64 y) (*.f64 y (log.f64 y))))
0.3b
(*.f64 y (log.f64 y))
60.7b
(fma.f64 (neg.f64 y) (log.f64 y) (*.f64 y (log.f64 y)))

series7.0ms (0.1%)

Counts
3 → 32
Calls

9 calls:

TimeVariablePointExpression
2.0ms
y
@-inf
(fma.f64 (neg.f64 y) (log.f64 y) (*.f64 y (log.f64 y)))
1.0ms
y
@-inf
(fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 (neg.f64 y) (log.f64 y) (*.f64 y (log.f64 y))))
1.0ms
y
@0
(fma.f64 (neg.f64 y) (log.f64 y) (*.f64 y (log.f64 y)))
1.0ms
y
@inf
(fma.f64 (neg.f64 y) (log.f64 y) (*.f64 y (log.f64 y)))
1.0ms
y
@0
(fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 (neg.f64 y) (log.f64 y) (*.f64 y (log.f64 y))))

rewrite55.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
839×pow1_binary64
775×add-log-exp_binary64
775×log1p-expm1-u_binary64
775×expm1-log1p-u_binary64
760×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0943
118433
2234833
Stop Event
node limit
Counts
3 → 70
Calls
Call 1
Inputs
(fma.f64 (neg.f64 y) (log.f64 y) (*.f64 y (log.f64 y)))
(fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 (neg.f64 y) (log.f64 y) (*.f64 y (log.f64 y))))
(-.f64 1 (log.f64 y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (log.f64 y)) (*.f64 y (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (log.f64 y) (+.f64 y y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 y) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 y) (+.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (log.f64 y) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (log.f64 y) (+.f64 y y))) (pow.f64 (cbrt.f64 (*.f64 (log.f64 y) (+.f64 y y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 y) (+.f64 y y))) 2) (cbrt.f64 (*.f64 (log.f64 y) (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (log.f64 y) (+.f64 y y))) (sqrt.f64 (*.f64 (log.f64 y) (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 3) (pow.f64 (*.f64 y (log.f64 y)) 3)) (+.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (pow.f64 (*.f64 y (log.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y (log.f64 y)) 2) (pow.f64 (*.f64 y (log.f64 y)) 2)) (-.f64 (*.f64 y (log.f64 y)) (*.f64 y (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 y) (+.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log.f64 y) (+.f64 y y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (log.f64 y) (+.f64 y y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (log.f64 y) (+.f64 y y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (log.f64 y) (+.f64 y y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 y y) (pow.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (log.f64 y) (+.f64 y y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (log.f64 y) (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (log.f64 y) (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (log.f64 y) (+.f64 y y))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 y) (+.f64 y y)) (*.f64 y (-.f64 1 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (-.f64 1 (log.f64 y))) (*.f64 (log.f64 y) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y (-.f64 1 (log.f64 y))) 1) (*.f64 (log.f64 y) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 y (-.f64 1 (log.f64 y))) (*.f64 y (log.f64 y))) (*.f64 y (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 y (-.f64 1 (log.f64 y)) (*.f64 (log.f64 y) (+.f64 y y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y (-.f64 1 (log.f64 y)) (*.f64 (log.f64 y) (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y (-.f64 1 (log.f64 y)) (*.f64 (log.f64 y) (+.f64 y y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y (-.f64 1 (log.f64 y)) (*.f64 (log.f64 y) (+.f64 y y)))) (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 1 (log.f64 y)) (*.f64 (log.f64 y) (+.f64 y y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 1 (log.f64 y)) (*.f64 (log.f64 y) (+.f64 y y)))) 2) (cbrt.f64 (fma.f64 y (-.f64 1 (log.f64 y)) (*.f64 (log.f64 y) (+.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y (-.f64 1 (log.f64 y)) (*.f64 (log.f64 y) (+.f64 y y)))) (sqrt.f64 (fma.f64 y (-.f64 1 (log.f64 y)) (*.f64 (log.f64 y) (+.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y (-.f64 1 (log.f64 y))) 3) (pow.f64 (*.f64 (log.f64 y) (+.f64 y y)) 3)) (+.f64 (*.f64 (*.f64 y (-.f64 1 (log.f64 y))) (*.f64 y (-.f64 1 (log.f64 y)))) (-.f64 (pow.f64 (*.f64 (log.f64 y) (+.f64 y y)) 2) (*.f64 (*.f64 y (-.f64 1 (log.f64 y))) (*.f64 (log.f64 y) (+.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 y (-.f64 1 (log.f64 y))) (*.f64 y (-.f64 1 (log.f64 y)))) (pow.f64 (*.f64 (log.f64 y) (+.f64 y y)) 2)) (-.f64 (*.f64 y (-.f64 1 (log.f64 y))) (*.f64 (log.f64 y) (+.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y (-.f64 1 (log.f64 y)) (*.f64 (log.f64 y) (+.f64 y y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (-.f64 1 (log.f64 y)) (*.f64 (log.f64 y) (+.f64 y y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y (-.f64 1 (log.f64 y)) (*.f64 (log.f64 y) (+.f64 y y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y (-.f64 1 (log.f64 y)) (*.f64 (log.f64 y) (+.f64 y y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y (-.f64 1 (log.f64 y)) (*.f64 (log.f64 y) (+.f64 y y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y (-.f64 1 (log.f64 y)) (*.f64 (log.f64 y) (+.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y (-.f64 1 (log.f64 y)) (*.f64 (log.f64 y) (+.f64 y y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y (-.f64 1 (log.f64 y)) (*.f64 (log.f64 y) (+.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y (-.f64 1 (log.f64 y)) (*.f64 (log.f64 y) (+.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y (-.f64 1 (log.f64 y)) (*.f64 (log.f64 y) (+.f64 y 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 (+.f64 1 (pow.f64 (log.f64 y) 2)) (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) (/.f64 1 (+.f64 (log.f64 y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 1 (pow.f64 (log.f64 y) 2)) (log.f64 y)) (-.f64 1 (pow.f64 (log.f64 y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (log.f64 y) 1) (-.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 (+.f64 1 (pow.f64 (log.f64 y) 2)) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (log.f64 y) 2)) (+.f64 (log.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (log.f64 y) 3))) (neg.f64 (+.f64 (+.f64 1 (pow.f64 (log.f64 y) 2)) (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (log.f64 y) 2))) (neg.f64 (+.f64 (log.f64 y) 1)))))) (#(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 exp.f64 (log1p.f64 (neg.f64 (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 expm1.f64 (log1p.f64 (-.f64 1 (log.f64 y))))))))

simplify99.0ms (1.7%)

Algorithm
egg-herbie
Rules
1575×fma-neg_binary64
1049×fma-def_binary64
888×distribute-rgt-in_binary64
333×unsub-neg_binary64
325×sub-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035320
1117204
2402168
31702168
44424168
55048168
65307168
75423168
85457168
95463168
106902168
116906168
126906168
136906168
Stop Event
node limit
Counts
102 → 81
Calls
Call 1
Inputs
(*.f64 (+.f64 (log.f64 y) (*.f64 -1 (log.f64 y))) y)
(*.f64 (+.f64 (log.f64 y) (*.f64 -1 (log.f64 y))) y)
(*.f64 (+.f64 (log.f64 y) (*.f64 -1 (log.f64 y))) y)
(*.f64 (+.f64 (log.f64 y) (*.f64 -1 (log.f64 y))) y)
(*.f64 y (+.f64 (log.f64 (/.f64 1 y)) (*.f64 -1 (log.f64 (/.f64 1 y)))))
(*.f64 y (+.f64 (log.f64 (/.f64 1 y)) (*.f64 -1 (log.f64 (/.f64 1 y)))))
(*.f64 y (+.f64 (log.f64 (/.f64 1 y)) (*.f64 -1 (log.f64 (/.f64 1 y)))))
(*.f64 y (+.f64 (log.f64 (/.f64 1 y)) (*.f64 -1 (log.f64 (/.f64 1 y)))))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (log.f64 -1) (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) y))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (log.f64 -1) (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) y))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (log.f64 -1) (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) y))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (log.f64 -1) (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) 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 (*.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 -1 (log.f64 (/.f64 -1 y))) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 -1 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))))))))
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 -1 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))))))))
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 -1 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))))))))
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 -1 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))))))))
(-.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 (+.f64 (log.f64 y) (*.f64 -1 (log.f64 y))) y)
(*.f64 y (*.f64 0 (log.f64 y)))
(*.f64 y 0)
0
(*.f64 (+.f64 (log.f64 y) (*.f64 -1 (log.f64 y))) y)
(*.f64 y (*.f64 0 (log.f64 y)))
(*.f64 y 0)
0
(*.f64 (+.f64 (log.f64 y) (*.f64 -1 (log.f64 y))) y)
(*.f64 y (*.f64 0 (log.f64 y)))
(*.f64 y 0)
0
(*.f64 (+.f64 (log.f64 y) (*.f64 -1 (log.f64 y))) y)
(*.f64 y (*.f64 0 (log.f64 y)))
(*.f64 y 0)
0
(*.f64 y (+.f64 (log.f64 (/.f64 1 y)) (*.f64 -1 (log.f64 (/.f64 1 y)))))
(*.f64 y (*.f64 0 (log.f64 y)))
(*.f64 y 0)
0
(*.f64 y (+.f64 (log.f64 (/.f64 1 y)) (*.f64 -1 (log.f64 (/.f64 1 y)))))
(*.f64 y (*.f64 0 (log.f64 y)))
(*.f64 y 0)
0
(*.f64 y (+.f64 (log.f64 (/.f64 1 y)) (*.f64 -1 (log.f64 (/.f64 1 y)))))
(*.f64 y (*.f64 0 (log.f64 y)))
(*.f64 y 0)
0
(*.f64 y (+.f64 (log.f64 (/.f64 1 y)) (*.f64 -1 (log.f64 (/.f64 1 y)))))
(*.f64 y (*.f64 0 (log.f64 y)))
(*.f64 y 0)
0
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (log.f64 -1) (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) y))
(*.f64 y (*.f64 0 (log.f64 y)))
(*.f64 y 0)
0
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (log.f64 -1) (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) y))
(*.f64 y (*.f64 0 (log.f64 y)))
(*.f64 y 0)
0
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (log.f64 -1) (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) y))
(*.f64 y (*.f64 0 (log.f64 y)))
(*.f64 y 0)
0
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (log.f64 -1) (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) y))
(*.f64 y (*.f64 0 (log.f64 y)))
(*.f64 y 0)
0
(*.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 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 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 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 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 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 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 1 (log.f64 (/.f64 1 y))))
(*.f64 y (+.f64 1 (neg.f64 (log.f64 y))))
(*.f64 y (-.f64 1 (log.f64 y)))
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 -1 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))))))))
(*.f64 y (+.f64 1 (neg.f64 (log.f64 y))))
(*.f64 y (-.f64 1 (log.f64 y)))
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 -1 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))))))))
(*.f64 y (+.f64 1 (neg.f64 (log.f64 y))))
(*.f64 y (-.f64 1 (log.f64 y)))
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 -1 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))))))))
(*.f64 y (+.f64 1 (neg.f64 (log.f64 y))))
(*.f64 y (-.f64 1 (log.f64 y)))
(*.f64 -1 (*.f64 y (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (*.f64 -1 (-.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))))))))
(*.f64 y (+.f64 1 (neg.f64 (log.f64 y))))
(*.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 -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))

prune226.0ms (3.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1000100
Fresh044
Picked011
Done011
Total1006106
Error
0.0b
Counts
106 → 6
Alt Table
StatusErrorProgram
32.7b
(-.f64 (fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 y (log.f64 y)))) (-.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 y (log.f64 y)))) (fma.f64 (log.f64 y) -1/2 x)) z)
0.4b
(-.f64 (+.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 y (log.f64 y))) 2)) (cbrt.f64 (*.f64 y (log.f64 y))) y) (+.f64 (*.f64 -1/2 (log.f64 y)) x)) z)
0.1b
(-.f64 (+.f64 (fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 (neg.f64 y) (log.f64 y) (*.f64 y (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x)) z)
19.1b
(-.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 y -1/2)) 2) (*.f64 x x)) (/.f64 1 (-.f64 (log.f64 (pow.f64 y -1/2)) x)) (*.f64 y (-.f64 1 (log.f64 y)))) z)
0.1b
(-.f64 (+.f64 (-.f64 y (*.f64 y (log.f64 y))) (+.f64 (*.f64 -1/2 (log.f64 y)) x)) z)
0.4b
(-.f64 (+.f64 (fma.f64 (*.f64 (neg.f64 y) (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)) y) (+.f64 (*.f64 -1/2 (log.f64 y)) x)) z)
Compiler

Compiled 2967 to 1349 computations (54.5% saved)

regimes64.0ms (1.1%)

Accuracy

Total -58.6b remaining (-75007.1%)

Threshold costs -58.6b (-75007.1%)

Counts
17 → 1
Calls
Call 1
Inputs
(-.f64 (fma.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 y (log.f64 y)))) (-.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 y (log.f64 y)))) (fma.f64 (log.f64 y) -1/2 x)) z)
(-.f64 (+.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 y (log.f64 y))) 2)) (cbrt.f64 (*.f64 y (log.f64 y))) y) (+.f64 (*.f64 -1/2 (log.f64 y)) x)) z)
(-.f64 (+.f64 (fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 (neg.f64 y) (log.f64 y) (*.f64 y (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x)) z)
(-.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 y -1/2)) 2) (*.f64 x x)) (/.f64 1 (-.f64 (log.f64 (pow.f64 y -1/2)) x)) (*.f64 y (-.f64 1 (log.f64 y)))) z)
(-.f64 (+.f64 (fma.f64 (*.f64 (neg.f64 y) (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)) y) (+.f64 (*.f64 -1/2 (log.f64 y)) x)) z)
(-.f64 (+.f64 (*.f64 y (fma.f64 (sqrt.f64 (log.f64 y)) (neg.f64 (sqrt.f64 (log.f64 y))) 1)) (+.f64 (*.f64 -1/2 (log.f64 y)) x)) z)
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (*.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 y -1/2)) 2) (*.f64 x x)) (/.f64 1 (-.f64 (log.f64 (pow.f64 y -1/2)) x)))) z)
(-.f64 (+.f64 (-.f64 y (*.f64 y (log.f64 y))) (+.f64 (*.f64 -1/2 (log.f64 y)) x)) z)
(-.f64 (+.f64 (*.f64 y (-.f64 (/.f64 1 (+.f64 1 (log.f64 y))) (/.f64 (pow.f64 (log.f64 y) 2) (+.f64 1 (log.f64 y))))) (+.f64 (*.f64 -1/2 (log.f64 y)) x)) z)
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z)) 3))
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (-.f64 x z)) y)
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x)) z)
(/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) 3) (pow.f64 (-.f64 (+.f64 y x) z) 3)) (+.f64 (pow.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) 2) (-.f64 (pow.f64 (-.f64 (+.f64 y x) z) 2) (*.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (-.f64 (+.f64 y x) z)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))) 2) (cbrt.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))))
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))) 3)
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y (-.f64 x z)))
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
Outputs
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x)) z)
Results
10.0ms0.1bx
10.0ms0.1by
10.0ms0.1bz
12.0ms0.1b(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
11.0ms0.1b(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
Compiler

Compiled 408 to 217 computations (46.8% saved)

simplify3.0ms (0.1%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01525
12623
23123
33423
43623
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x)) z)
Outputs
(-.f64 (+.f64 (*.f64 y (+.f64 1 (*.f64 -1 (log.f64 y)))) (+.f64 (*.f64 -1/2 (log.f64 y)) x)) z)
(-.f64 (+.f64 (*.f64 y (+.f64 1 (neg.f64 (log.f64 y)))) (+.f64 (*.f64 (log.f64 y) -1/2) x)) z)
(-.f64 (+.f64 (*.f64 y (-.f64 1 (log.f64 y))) (+.f64 (*.f64 (log.f64 y) -1/2) x)) z)

end19.0ms (0.3%)

Stop Event
fuel
Compiler

Compiled 36 to 24 computations (33.3% saved)

Profiling

Loading profile data...