Details

Time bar (total: 9.0s)

analyze206.0ms (2.3%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
25%74.9%0.1%5
31.2%68.7%0.1%6
43.7%51.5%4.8%7
48.4%46.8%4.8%8
55.4%37.5%7.1%9
58.1%34.7%7.1%10
61.9%29.9%8.3%11
63.3%28.4%8.3%12
Compiler

Compiled 12 to 9 computations (25% saved)

sample4.8s (53.3%)

Results
3.0s2476×body8192exit
1.4s7780×body256valid
176.0ms237×body1024valid
97.0ms239×body512valid
28.0ms150×body256invalid

preprocess85.0ms (0.9%)

Algorithm
2×egg-herbie
Rules
732×times-frac_binary64
550×fma-def_binary64
473×associate-/r/_binary64
413×fabs-mul_binary64
232×unswap-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01422
13222
24522
37122
410122
515022
623122
732122
842822
954622
1063822
1167822
1282622
13126722
14309522
15588922
16724522
022
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 y))) (*.f64 y x))
Outputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 y))) (*.f64 y x))
(-.f64 (log1p.f64 (exp.f64 y)) (*.f64 x y))
Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify77.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
479×fma-def_binary64
369×times-frac_binary64
368×associate-*l*_binary64
315×associate-/l*_binary64
289×associate-/l/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
11911
23011
34711
46611
510011
615411
720611
827511
935411
1041611
1144211
1252111
1374911
14168511
15492511
16602711
17766611
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Outputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

eval1.0ms (0%)

Compiler

Compiled 18 to 10 computations (44.4% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.5b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.5b
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓0.5b
(log1p.f64 (exp.f64 x))
Compiler

Compiled 19 to 6 computations (68.4% saved)

series57.0ms (0.6%)

Counts
2 → 36
Calls

9 calls:

TimeVariablePointExpression
25.0ms
x
@-inf
(log1p.f64 (exp.f64 x))
25.0ms
x
@inf
(log1p.f64 (exp.f64 x))
4.0ms
y
@0
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
1.0ms
x
@0
(log1p.f64 (exp.f64 x))
0.0ms
y
@inf
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

rewrite64.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
792×pow1_binary64
733×add-log-exp_binary64
733×expm1-log1p-u_binary64
732×log1p-expm1-u_binary64
716×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0716
114716
2201516
Stop Event
1×node limit
Counts
2 → 52
Calls
Call 1
Inputs
(log1p.f64 (exp.f64 x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (exp.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (exp.f64 x)) (*.f64 (*.f64 x (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (neg.f64 y)) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2)) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x y) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (*.f64 x y) 2))) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 x (neg.f64 y)))))))

simplify54.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
627×fma-neg_binary64
581×associate-*l*_binary64
537×distribute-lft-out_binary64
418×distribute-rgt-neg-in_binary64
384×distribute-lft-neg-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
034363
186333
2182333
3431321
41389321
53841321
Stop Event
1×node limit
Counts
88 → 71
Calls
Call 1
Inputs
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (log.f64 2)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 2)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (log.f64 2)))
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
(*.f64 -1 (*.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
Outputs
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (log.f64 2)))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (log.f64 2)))
(fma.f64 x (*.f64 x 1/8) (fma.f64 1/2 x (log.f64 2)))
(fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/8) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 x (fma.f64 x 1/8 1/2) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 2)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (log.f64 2)))
(fma.f64 (-.f64 1/2 y) x (fma.f64 1/8 (*.f64 x x) (log.f64 2)))
(fma.f64 x (-.f64 1/2 y) (fma.f64 1/8 (*.f64 x x) (log.f64 2)))
(fma.f64 x (*.f64 x 1/8) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
(fma.f64 (-.f64 1/2 y) x (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 x (-.f64 1/2 y) (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 x (-.f64 1/2 y) (fma.f64 x (*.f64 x 1/8) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

eval21.0ms (0.2%)

Compiler

Compiled 977 to 351 computations (64.1% saved)

prune12.0ms (0.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New67471
Fresh000
Picked011
Done000
Total67572
Error
0.2b
Counts
72 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
▶1.0b
(-.f64 (-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1) (*.f64 x y))
✓0.5b
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶34.1b
(*.f64 x (neg.f64 y))
▶4.8b
(-.f64 (log.f64 2) (*.f64 x y))
▶9.9b
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
Compiler

Compiled 46 to 34 computations (26.1% saved)

localize4.0ms (0%)

Compiler

Compiled 10 to 4 computations (60% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 24 to 17 computations (29.2% saved)

series10.0ms (0.1%)

Counts
2 → 27
Calls

12 calls:

TimeVariablePointExpression
3.0ms
y
@0
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
3.0ms
x
@0
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
1.0ms
y
@inf
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
1.0ms
x
@-inf
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
1.0ms
x
@inf
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))

rewrite70.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
864×prod-diff_binary64
596×unpow-prod-down_binary64
435×log-prod_binary64
278×fma-def_binary64
257×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
120017
2262917
Stop Event
1×node limit
Counts
2 → 87
Calls
Call 1
Inputs
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(*.f64 (-.f64 1/2 y) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))) (/.f64 (pow.f64 (log.f64 2) 2) (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (#(struct:change #<rule egg-rr> 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2)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 2)) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2) (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2) 3) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 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(log.f64 2) (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (-.f64 1/2 y)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2) (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) (*.f64 (cbrt.f64 (-.f64 1/2 y)) x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (-.f64 1/2 y)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1/2 y)) (*.f64 (sqrt.f64 (-.f64 1/2 y)) x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/2 y)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y)) (log.f64 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 x) (*.f64 (neg.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/2) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/8 (pow.f64 y 3)) x) (fma.f64 y (+.f64 1/2 y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) (fma.f64 y (+.f64 1/2 y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (+.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1/2 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 x (*.f64 (neg.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (*.f64 x (neg.f64 y)))))))

simplify41.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
267×fma-neg_binary64
247×fma-def_binary64
89×cancel-sign-sub-inv_binary64
42×sub-neg_binary64
38×associate--r+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
016250
133223
264205
3107205
4160205
5254205
6452205
7660205
8875205
91096205
101116205
Stop Event
1×saturated
Counts
114 → 97
Calls
Call 1
Inputs
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(log.f64 2)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
Outputs
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 2)
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 16 to 9 computations (43.8% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite61.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
779×pow1_binary64
725×add-log-exp_binary64
724×log1p-expm1-u_binary64
724×expm1-log1p-u_binary64
710×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
11519
219999
Stop Event
1×node limit
Counts
1 → 37
Calls
Call 1
Inputs
(-.f64 (log.f64 2) (*.f64 x y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (*.f64 (*.f64 x (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (neg.f64 y)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log.f64 2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 2) (*.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (+.f64 (log.f64 2) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 2) (*.f64 x y)))) (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (log.f64 2) (*.f64 x y)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 2) (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (+.f64 (log.f64 2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x y) (+.f64 (log.f64 2) (*.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2))) (neg.f64 (+.f64 (log.f64 2) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y))) (*.f64 (log.f64 2) (*.f64 x (neg.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x (neg.f64 y)) (*.f64 x (neg.f64 y)))) (-.f64 (log.f64 2) (*.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 2 (pow.f64 (exp.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log.f64 2) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (log.f64 2) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log.f64 2) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 2) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (neg.f64 y)))))))

simplify26.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
101×fma-def_binary64
56×fma-neg_binary64
27×cancel-sign-sub-inv_binary64
17×sub-neg_binary64
13×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
09228
115192
232192
345192
457192
588192
6148192
7196192
8254192
9341192
10391192
11397192
Stop Event
1×saturated
Counts
61 → 42
Calls
Call 1
Inputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
Outputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1) (*.f64 x y))
✓0.0b
(+.f64 1 (log1p.f64 (exp.f64 x)))
0.5b
(log1p.f64 (exp.f64 x))
✓0.7b
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)
Compiler

Compiled 36 to 17 computations (52.8% saved)

series3.0ms (0%)

Counts
3 → 48
Calls

12 calls:

TimeVariablePointExpression
0.0ms
x
@0
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)
0.0ms
x
@0
(+.f64 1 (log1p.f64 (exp.f64 x)))
0.0ms
x
@-inf
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)
0.0ms
x
@inf
(+.f64 1 (log1p.f64 (exp.f64 x)))
0.0ms
x
@inf
(-.f64 (-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1) (*.f64 x y))

rewrite95.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
522×fma-def_binary64
479×log-prod_binary64
321×pow-prod-down_binary64
295×fma-neg_binary64
267×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01036
122424
2332524
Stop Event
1×node limit
Counts
3 → 270
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)
(+.f64 1 (log1p.f64 (exp.f64 x)))
(-.f64 (-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1) (*.f64 x y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (log1p.f64 (exp.f64 x)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (exp.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log1p.f64 (exp.f64 x)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))) (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 (exp.f64 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 (log1p.f64 (exp.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 (exp.f64 x))))) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log1p.f64 (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 (log1p.f64 (exp.f64 x)) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 (exp.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (log1p.f64 (exp.f64 x)) 2) (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 (exp.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 (exp.f64 x))))) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 (log1p.f64 (exp.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 (exp.f64 x))))) (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 (exp.f64 x))))) (+.f64 (log1p.f64 (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 (exp.f64 x)))))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 (log1p.f64 (exp.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 (exp.f64 x)))))) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) -1) 2) (+.f64 (log1p.f64 (exp.f64 x)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 (log1p.f64 (exp.f64 x)) -1) 2)) (-.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 (log1p.f64 (exp.f64 x)) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 (exp.f64 x)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (log1p.f64 (exp.f64 x)) 2) (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 (exp.f64 x)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (log1p.f64 (exp.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (exp.f64 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (log1p.f64 (exp.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log1p.f64 (exp.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log1p.f64 (exp.f64 x)) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) (*.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (log1p.f64 (exp.f64 x))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 2) (+.f64 (log1p.f64 (exp.f64 x)) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (/.f64 1 (fma.f64 (log1p.f64 (exp.f64 x)) (+.f64 (log1p.f64 (exp.f64 x)) -1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log1p.f64 (exp.f64 x))))) (/.f64 1 (+.f64 (log1p.f64 (exp.f64 x)) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (/.f64 1 (-.f64 1 (log1p.f64 (exp.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) -1)) 2) (cbrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) -1)) (sqrt.f64 (+.f64 (log1p.f64 (exp.f64 x)) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log1p.f64 (exp.f64 x))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 1) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 1) 1)))))
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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (/.f64 1 (-.f64 1 (log1p.f64 (exp.f64 x)))) (-.f64 -1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (/.f64 1 (-.f64 1 (log1p.f64 (exp.f64 x)))) (+.f64 -1 (*.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (/.f64 1 (-.f64 1 (log1p.f64 (exp.f64 x)))) (neg.f64 (-.f64 1 (*.f64 x (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (neg.f64 y))) 2) (cbrt.f64 (*.f64 x (neg.f64 y))) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (neg.f64 y))) (sqrt.f64 (*.f64 x (neg.f64 y))) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log1p.f64 (exp.f64 x))))) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log1p.f64 (exp.f64 x))))) (*.f64 (*.f64 x (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (log1p.f64 (exp.f64 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log1p.f64 (exp.f64 x))))) (-.f64 1 (fma.f64 x y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 x) y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2)) (cbrt.f64 (*.f64 x y)) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) 1) y (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) (log1p.f64 (exp.f64 x)))))))

simplify72.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
627×fma-neg_binary64
567×associate-*l*_binary64
537×distribute-lft-out_binary64
516×fma-def_binary64
418×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
041484
1111454
2257454
3630436
41782436
54264436
Stop Event
1×node limit
Counts
318 → 297
Calls
Call 1
Inputs
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (log.f64 2)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(+.f64 1 (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2)))))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(log.f64 2)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (log.f64 2)))
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
(*.f64 -1 (*.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
Outputs
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (log.f64 2)))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (log.f64 2)))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/8) (log.f64 2)))
(fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/8) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 x (fma.f64 x 1/8 1/2) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))
(fma.f64 -1/192 (pow.f64 x 4) (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 1 (log.f64 2))
(+.f64 (log.f64 2) 1)
(+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2)))
(fma.f64 1/2 x (+.f64 (log.f64 2) 1))
(+.f64 (log.f64 2) (fma.f64 1/2 x 1))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (+.f64 (log.f64 2) 1)))
(+.f64 (fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (log.f64 2))) 1)
(+.f64 (fma.f64 1/2 x (fma.f64 x (*.f64 x 1/8) (log.f64 2))) 1)
(+.f64 (log.f64 2) (fma.f64 x (fma.f64 x 1/8 1/2) 1))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (+.f64 1 (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2)))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (+.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) 1)))
(+.f64 (fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))) 1)
(+.f64 (fma.f64 1/2 x (fma.f64 x (*.f64 x 1/8) (log.f64 2))) (fma.f64 -1/192 (pow.f64 x 4) 1))
(+.f64 (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)) (fma.f64 x (fma.f64 x 1/8 1/2) 1))
(+.f64 (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))) 1)
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log1p.f64 (exp.f64 x)))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log1p.f64 (exp.f64 x)))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log1p.f64 (exp.f64 x)))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log1p.f64 (exp.f64 x)))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log1p.f64 (exp.f64 x)))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log1p.f64 (exp.f64 x)))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log1p.f64 (exp.f64 x)))
(+.f64 1 (log.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (log1p.f64 (exp.f64 x)))
(log.f64 2)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (log.f64 2)))
(fma.f64 (-.f64 1/2 y) x (fma.f64 1/8 (*.f64 x x) (log.f64 2)))
(fma.f64 x (-.f64 1/2 y) (fma.f64 1/8 (*.f64 x x) (log.f64 2)))
(fma.f64 x (-.f64 1/2 y) (fma.f64 x (*.f64 x 1/8) (log.f64 2)))
(fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
(fma.f64 (-.f64 1/2 y) x (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 x (-.f64 1/2 y) (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 x (-.f64 1/2 y) (fma.f64 x (*.f64 x 1/8) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
(fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2)))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 -1 (*.f64 y x)))
(+.f64 (log1p.f64 (exp.f64 x)) (neg.f64 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

eval130.0ms (1.5%)

Compiler

Compiled 7484 to 3878 computations (48.2% saved)

prune71.0ms (0.8%)

Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New4546460
Fresh000
Picked101
Done134
Total4569465
Error
0.2b
Counts
465 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
✓34.1b
(*.f64 x (neg.f64 y))
✓4.8b
(-.f64 (log.f64 2) (*.f64 x y))
▶10.4b
(-.f64 (-.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 1) (*.f64 x y))
19.8b
(+.f64 (expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) (log.f64 2))
▶28.9b
(log.f64 2)
✓0.5b
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶5.3b
(-.f64 (-.f64 (+.f64 (log.f64 2) 1) 1) (*.f64 x y))
▶28.7b
(+.f64 (*.f64 1/2 x) (log.f64 2))
▶43.5b
(*.f64 (-.f64 1/2 y) x)
Compiler

Compiled 141 to 114 computations (19.1% saved)

localize17.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (-.f64 (+.f64 (log.f64 2) 1) 1) (*.f64 x y))
✓1.0b
(-.f64 (+.f64 (log.f64 2) 1) 1)
Compiler

Compiled 31 to 24 computations (22.6% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite87.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
513×fma-def_binary64
452×log-prod_binary64
339×exp-prod_binary64
299×fma-neg_binary64
298×pow-prod-down_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01018
122912
2328212
Stop Event
1×node limit
Counts
2 → 238
Calls
Call 1
Inputs
(-.f64 (+.f64 (log.f64 2) 1) 1)
(-.f64 (-.f64 (+.f64 (log.f64 2) 1) 1) (*.f64 x y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (log.f64 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (log.f64 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 2)) (cbrt.f64 (pow.f64 (log.f64 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (cbrt.f64 (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (*.f64 (cbrt.f64 (log.f64 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 2)) (*.f64 (sqrt.f64 (log.f64 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (log.f64 2) 1) 2) (+.f64 (log.f64 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 2)))) (/.f64 1 (+.f64 (log.f64 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 (log.f64 2) 1)) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (log.f64 2) 1) 2) (+.f64 (log.f64 2) 2)) (expm1.f64 (*.f64 (log1p.f64 (log.f64 2)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (log.f64 2) 2) (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 2)) 3)) (+.f64 (pow.f64 (+.f64 (log.f64 2) 1) 2) (+.f64 (log.f64 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 2)) 3)) (+.f64 (pow.f64 (+.f64 (log.f64 2) 1) 2) (-.f64 1 (*.f64 (+.f64 (log.f64 2) 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 2)))) (+.f64 (log.f64 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 2)) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 (log.f64 2) 1) 2) (+.f64 (log.f64 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 2))))) (neg.f64 (+.f64 (log.f64 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 2) 3) 0) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 0 (*.f64 (log.f64 2) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 2) 2) 0) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (log.f64 2) 1) 2) (+.f64 (log.f64 2) 2)) (expm1.f64 (*.f64 (log1p.f64 (log.f64 2)) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (log.f64 2) 2) (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 2))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 2))) 2)) (cbrt.f64 (log.f64 (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 2)))) (sqrt.f64 (log.f64 (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 2)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (log.f64 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 1)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 2))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 2)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 2)) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 2) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (log.f64 2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (log.f64 2) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 (log.f64 2) 1)) (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) 1)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) 1)) 2) (cbrt.f64 (+.f64 (log.f64 2) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) 1)) 2) (*.f64 (cbrt.f64 (+.f64 (log.f64 2) 1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (log.f64 2)) (cbrt.f64 (pow.f64 (log.f64 2) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (cbrt.f64 (log.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (*.f64 (cbrt.f64 (log.f64 2)) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (log.f64 2) 1)) (sqrt.f64 (+.f64 (log.f64 2) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (log.f64 2) 1)) (*.f64 (sqrt.f64 (+.f64 (log.f64 2) 1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 2)) (*.f64 (sqrt.f64 (log.f64 2)) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 (log1p.f64 (log.f64 2)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (log.f64 2) 1) 2) (+.f64 (log.f64 2) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (log.f64 2) 3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (log.f64 2) 2) 1) (log.f64 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 2)))) (/.f64 1 (+.f64 (log.f64 2) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (log.f64 2) 2) -1) (/.f64 1 (+.f64 (log.f64 2) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 (log.f64 2) 1)) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log.f64 2)))) 0)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (*.f64 (*.f64 x (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (-.f64 1 (fma.f64 x y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (+.f64 0 (*.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (log.f64 2) (fma.f64 x y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 2) 1) (neg.f64 (fma.f64 x y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 2) 1) (-.f64 -1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 2) 1) (+.f64 -1 (*.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 2) (*.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (cbrt.f64 (pow.f64 (*.f64 x y) 2)) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (log.f64 2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (neg.f64 y)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 2 (pow.f64 (exp.f64 y) x))) 2)) (log.f64 (cbrt.f64 (/.f64 2 (pow.f64 (exp.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 2 (pow.f64 (exp.f64 y) x)))) (log.f64 (sqrt.f64 (/.f64 2 (pow.f64 (exp.f64 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log.f64 2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) (cbrt.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 2)) (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) (sqrt.f64 (-.f64 (log.f64 2) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2)) (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x 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(/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2))) (fma.f64 (neg.f64 x) y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (cbrt.f64 (pow.f64 (*.f64 x y) 2)) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (log.f64 2) 3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (log.f64 2) 2) 1) (log.f64 2))) (neg.f64 (fma.f64 x y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (log.f64 2) 3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (log.f64 2) 2) 1) (log.f64 2))) (-.f64 -1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (log.f64 2) 3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (log.f64 2) 2) 1) (log.f64 2))) (+.f64 -1 (*.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (log.f64 2) 3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (log.f64 2) 2) 1) (log.f64 2))) (neg.f64 (-.f64 1 (*.f64 x (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 x y) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 2)))) (/.f64 1 (+.f64 (log.f64 2) 2)) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 2)))) (/.f64 1 (+.f64 (log.f64 2) 2)) (*.f64 (*.f64 x (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 2)))) (/.f64 1 (+.f64 (log.f64 2) 2)) (-.f64 1 (fma.f64 x y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (log.f64 2)))) (/.f64 1 (+.f64 (log.f64 2) 2)) (+.f64 0 (*.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log.f64 2))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log.f64 2))) (fma.f64 (neg.f64 x) y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log.f64 2))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (cbrt.f64 (pow.f64 (*.f64 x y) 2)) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (log.f64 2) 2) -1) (/.f64 1 (+.f64 (log.f64 2) -1)) (neg.f64 (fma.f64 x y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (log.f64 2) 2) -1) (/.f64 1 (+.f64 (log.f64 2) -1)) (-.f64 -1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (log.f64 2) 2) -1) (/.f64 1 (+.f64 (log.f64 2) -1)) (+.f64 -1 (*.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (log.f64 2) 2) -1) (/.f64 1 (+.f64 (log.f64 2) -1)) (neg.f64 (-.f64 1 (*.f64 x (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) y (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (neg.f64 y))) 2) (cbrt.f64 (*.f64 x (neg.f64 y))) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (neg.f64 y))) (sqrt.f64 (*.f64 x (neg.f64 y))) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 y) x (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 (log.f64 2) 1)) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log.f64 2)))) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 (log.f64 2) 1)) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log.f64 2)))) (*.f64 (*.f64 x (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 (log.f64 2) 1)) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log.f64 2)))) (-.f64 1 (fma.f64 x y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 (log.f64 2) 1)) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (log.f64 2)))) (+.f64 0 (*.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x y))) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 x) y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (*.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (cbrt.f64 (pow.f64 (*.f64 x y) 2)) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 x y) 2))) (cbrt.f64 (*.f64 x y)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) 1) y (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) (log.f64 2))))))

simplify31.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
101×fma-def_binary64
56×fma-neg_binary64
27×cancel-sign-sub-inv_binary64
17×sub-neg_binary64
13×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
09228
115192
232192
345192
457192
588192
6148192
7196192
8254192
9341192
10391192
11397192
Stop Event
1×saturated
Counts
262 → 242
Calls
Call 1
Inputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
Outputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(-.f64 (log.f64 2) (*.f64 y x))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 13 to 8 computations (38.5% saved)

localize4.0ms (0%)

Compiler

Compiled 5 to 5 computations (0% saved)

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 1/2 x) (log.f64 2))
Compiler

Compiled 16 to 13 computations (18.8% saved)

series1.0ms (0%)

Counts
1 → 3
Calls

3 calls:

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

rewrite53.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
728×pow1_binary64
681×add-log-exp_binary64
680×log1p-expm1-u_binary64
680×expm1-log1p-u_binary64
668×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
11507
218707
Stop Event
1×node limit
Counts
1 → 35
Calls
Call 1
Inputs
(+.f64 (*.f64 1/2 x) (log.f64 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 1/2 x (log.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 x x) 1/4) (-.f64 (*.f64 1/2 x) (log.f64 2))) (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 1/2 x) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/2 x (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/2 x (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (sqrt.f64 (fma.f64 1/2 x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2)) (/.f64 1 (-.f64 (*.f64 1/2 x) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x)))) (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 1/2 x) (log.f64 2)) (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 1/2 (*.f64 x (log.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2)) (-.f64 (*.f64 1/2 x) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 3) 1/8) (pow.f64 (log.f64 2) 3))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 1/4) (*.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) 1/4) (pow.f64 (log.f64 2) 2))) (neg.f64 (-.f64 (*.f64 1/2 x) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 x x) 1/4)) (-.f64 (log.f64 2) (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/2 x (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/2 x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 x (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/2 x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 2) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/2 x)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (log.f64 2))))))

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0611
1711
Stop Event
1×saturated
Counts
38 → 37
Calls
Call 1
Inputs
(log.f64 2)
(*.f64 1/2 x)
(*.f64 1/2 x)
Outputs
(log.f64 2)
(*.f64 1/2 x)
(*.f64 1/2 x)

localize25.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (-.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 1) (*.f64 x y))
✓0.0b
(+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2)))
✓0.7b
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 1)
Compiler

Compiled 51 to 40 computations (21.6% saved)

series4.0ms (0%)

Counts
3 → 45
Calls

12 calls:

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

rewrite101.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
660×log-prod_binary64
492×fma-neg_binary64
258×expm1-udef_binary64
258×log1p-udef_binary64
255×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01342
130230
2438630
Stop Event
1×node limit
Counts
3 → 202
Calls
Call 1
Inputs
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 1)
(+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2)))
(-.f64 (-.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 1) (*.f64 x y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (log.f64 2)) (fma.f64 1/2 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (log.f64 2)) (+.f64 (*.f64 1/2 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 1/2 x (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 x 1) (-.f64 (log.f64 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 x 1) (+.f64 (log.f64 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 1/2) x) 2)) (cbrt.f64 (*.f64 (pow.f64 (exp.f64 1/2) x) 2)))) (log.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 1/2) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 1/2) x) 2))) (log.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 1/2) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/2 x (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/2 x (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (sqrt.f64 (fma.f64 1/2 x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2) (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))) (/.f64 1 (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2) (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)))) (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 1/2 x (log.f64 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 1/2 x (log.f64 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))) (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2) (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))) (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2) (-.f64 1 (*.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))) (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 1/2 x (log.f64 2)))))) (neg.f64 (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2) (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 1/2 x (log.f64 2)))))) (neg.f64 (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (log.f64 2) 3)) (+.f64 (*.f64 1/4 (*.f64 x x)) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (*.f64 1/2 x) (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (log.f64 2) 2)) (fma.f64 1/2 x (log.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/2 x (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2) (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)))) (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 1/2 x (log.f64 2)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 1/2 x (log.f64 2)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 1/2) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 2 (+.f64 1 (expm1.f64 (*.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (fma.f64 1/2 x (log.f64 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/2 x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/2 x (log.f64 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 x (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/2 x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 2) (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 2) (*.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) 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(2) ((x pow.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (*.f64 (*.f64 x y) (+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)))) (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (*.f64 x y) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)) (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (pow.f64 (*.f64 x y) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x 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(exp.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x (log.f64 2)))) (/.f64 1 (pow.f64 (exp.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 y (neg.f64 x))) (*.f64 (pow.f64 (exp.f64 1/2) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (/.f64 1 (pow.f64 (exp.f64 y) x)) (*.f64 (pow.f64 (exp.f64 1/2) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 y (neg.f64 x))) (+.f64 1 (expm1.f64 (fma.f64 1/2 x (log.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (/.f64 1 (pow.f64 (exp.f64 y) x)) (+.f64 1 (expm1.f64 (fma.f64 1/2 x (log.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) (neg.f64 (+.f64 1 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) (neg.f64 (-.f64 1 (*.f64 y (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 1/2 x (log.f64 2)) (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 1 (neg.f64 (+.f64 1 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 1 (neg.f64 (-.f64 1 (*.f64 y (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/2 x (log.f64 2)) 1 (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 2) (neg.f64 (+.f64 1 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 2) (neg.f64 (-.f64 1 (*.f64 y (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 2) (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (neg.f64 (+.f64 1 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 2) (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (neg.f64 (-.f64 1 (*.f64 y (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 2) (*.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 1) (neg.f64 (+.f64 1 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 2) (*.f64 (cbrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 1) (neg.f64 (-.f64 1 (*.f64 y (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 2) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (neg.f64 (+.f64 1 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (neg.f64 (-.f64 1 (*.f64 y (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (*.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 1) (neg.f64 (+.f64 1 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) (*.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 1) (neg.f64 (-.f64 1 (*.f64 y (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (sqrt.f64 (fma.f64 1/2 x (log.f64 2))) (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)) 2) (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))))) (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (+.f64 1 (log.f64 2)) 3)) (/.f64 1 (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (+.f64 1 (log.f64 2)) (-.f64 (+.f64 1 (log.f64 2)) (*.f64 1/2 x))))) (neg.f64 (+.f64 1 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (+.f64 1 (log.f64 2)) 3)) (/.f64 1 (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (+.f64 1 (log.f64 2)) (-.f64 (+.f64 1 (log.f64 2)) (*.f64 1/2 x))))) (neg.f64 (-.f64 1 (*.f64 y (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))) (/.f64 1 (+.f64 1 (+.f64 (log.f64 2) (fma.f64 1/2 x 1)))) (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (+.f64 1 (log.f64 2)) 2)) (/.f64 1 (-.f64 (fma.f64 1/2 x -1) (log.f64 2))) (neg.f64 (+.f64 1 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (+.f64 1 (log.f64 2)) 2)) (/.f64 1 (-.f64 (fma.f64 1/2 x -1) (log.f64 2))) (neg.f64 (-.f64 1 (*.f64 y (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 (log.f64 2) (fma.f64 1/2 x 1))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (fma.f64 1/2 x (log.f64 2))))) (*.f64 y (neg.f64 x)))))))

simplify63.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
333×fma-neg_binary64
300×fma-def_binary64
103×cancel-sign-sub-inv_binary64
57×sub-neg_binary64
50×associate--r+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023364
149364
278364
3129364
4180364
5285364
6487364
7727364
81024364
91311364
101377364
111388364
Stop Event
1×saturated
Counts
247 → 217
Calls
Call 1
Inputs
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 1 (log.f64 2))
(*.f64 1/2 x)
(+.f64 1 (+.f64 (*.f64 1/2 x) (log.f64 2)))
(+.f64 1 (+.f64 (*.f64 1/2 x) (log.f64 2)))
(+.f64 1 (+.f64 (*.f64 1/2 x) (log.f64 2)))
(*.f64 1/2 x)
(+.f64 1 (+.f64 (*.f64 1/2 x) (log.f64 2)))
(+.f64 1 (+.f64 (*.f64 1/2 x) (log.f64 2)))
(+.f64 1 (+.f64 (*.f64 1/2 x) (log.f64 2)))
(log.f64 2)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(*.f64 (+.f64 1/2 (*.f64 -1 y)) x)
(+.f64 (log.f64 2) (*.f64 (+.f64 1/2 (*.f64 -1 y)) x))
(+.f64 (log.f64 2) (*.f64 (+.f64 1/2 (*.f64 -1 y)) x))
(+.f64 (log.f64 2) (*.f64 (+.f64 1/2 (*.f64 -1 y)) x))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
Outputs
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 1 (log.f64 2))
(+.f64 (log.f64 2) 1)
(*.f64 1/2 x)
(+.f64 1 (+.f64 (*.f64 1/2 x) (log.f64 2)))
(+.f64 (fma.f64 1/2 x (log.f64 2)) 1)
(+.f64 (log.f64 2) (fma.f64 1/2 x 1))
(+.f64 1 (+.f64 (*.f64 1/2 x) (log.f64 2)))
(+.f64 (fma.f64 1/2 x (log.f64 2)) 1)
(+.f64 (log.f64 2) (fma.f64 1/2 x 1))
(+.f64 1 (+.f64 (*.f64 1/2 x) (log.f64 2)))
(+.f64 (fma.f64 1/2 x (log.f64 2)) 1)
(+.f64 (log.f64 2) (fma.f64 1/2 x 1))
(*.f64 1/2 x)
(+.f64 1 (+.f64 (*.f64 1/2 x) (log.f64 2)))
(+.f64 (fma.f64 1/2 x (log.f64 2)) 1)
(+.f64 (log.f64 2) (fma.f64 1/2 x 1))
(+.f64 1 (+.f64 (*.f64 1/2 x) (log.f64 2)))
(+.f64 (fma.f64 1/2 x (log.f64 2)) 1)
(+.f64 (log.f64 2) (fma.f64 1/2 x 1))
(+.f64 1 (+.f64 (*.f64 1/2 x) (log.f64 2)))
(+.f64 (fma.f64 1/2 x (log.f64 2)) 1)
(+.f64 (log.f64 2) (fma.f64 1/2 x 1))
(log.f64 2)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 (+.f64 1/2 (*.f64 -1 y)) x)
(*.f64 x (-.f64 1/2 y))
(+.f64 (log.f64 2) (*.f64 (+.f64 1/2 (*.f64 -1 y)) x))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 (+.f64 1/2 (*.f64 -1 y)) x))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 (+.f64 1/2 (*.f64 -1 y)) x))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 -1 (*.f64 y x))
(*.f64 (neg.f64 y) x)
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 -1 (*.f64 y x))
(*.f64 (neg.f64 y) x)
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))

eval269.0ms (3%)

Compiler

Compiled 8804 to 6293 computations (28.5% saved)

prune73.0ms (0.8%)

Pruning

12 alts after pruning (4 fresh and 8 done)

PrunedKeptTotal
New5203523
Fresh011
Picked011
Done077
Total52012532
Error
0.2b
Counts
532 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
✓28.9b
(log.f64 2)
▶57.7b
(/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y))
✓34.1b
(*.f64 x (neg.f64 y))
✓4.8b
(-.f64 (log.f64 2) (*.f64 x y))
✓10.4b
(-.f64 (-.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 1) (*.f64 x y))
▶19.8b
(+.f64 (expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) (log.f64 2))
✓5.3b
(-.f64 (-.f64 (+.f64 (log.f64 2) 1) 1) (*.f64 x y))
▶61.9b
(*.f64 1/2 x)
▶43.5b
(-.f64 (*.f64 1/2 x) (*.f64 x y))
✓0.5b
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓28.7b
(+.f64 (*.f64 1/2 x) (log.f64 2))
✓43.5b
(*.f64 (-.f64 1/2 y) x)
Compiler

Compiled 109 to 84 computations (22.9% saved)

localize3.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (-.f64 1/2 y) x)
✓0.0b
(log1p.f64 (*.f64 (-.f64 1/2 y) x))
✓0.0b
(+.f64 (expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) (log.f64 2))
✓0.9b
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))
Compiler

Compiled 39 to 28 computations (28.2% saved)

series11.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
1.0ms
y
@0
(log1p.f64 (*.f64 (-.f64 1/2 y) x))
1.0ms
x
@inf
(log1p.f64 (*.f64 (-.f64 1/2 y) x))
1.0ms
y
@inf
(log1p.f64 (*.f64 (-.f64 1/2 y) x))
1.0ms
x
@0
(log1p.f64 (*.f64 (-.f64 1/2 y) x))
1.0ms
x
@-inf
(log1p.f64 (*.f64 (-.f64 1/2 y) x))

rewrite76.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
473×log-prod_binary64
360×prod-exp_binary64
359×exp-prod_binary64
305×fma-def_binary64
301×pow-prod-down_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01128
122026
2284126
Stop Event
1×node limit
Counts
3 → 154
Calls
Call 1
Inputs
(expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))
(+.f64 (expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) (log.f64 2))
(log1p.f64 (*.f64 (-.f64 1/2 y) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (-.f64 1/2 y) x 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 x) (*.f64 (neg.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/2) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (-.f64 1/2 y) x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/2 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (-.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1/2 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (cbrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)) (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) (*.f64 (cbrt.f64 (-.f64 1/2 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (sqrt.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1/2 y)) (*.f64 (sqrt.f64 (-.f64 1/2 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1/2 y) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3) 1) (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) (+.f64 1 (*.f64 (fma.f64 (-.f64 1/2 y) x 1) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) 1) (+.f64 (fma.f64 (-.f64 1/2 y) x 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/8 (pow.f64 y 3)) x) (fma.f64 y (+.f64 1/2 y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) (fma.f64 y (+.f64 1/2 y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1/4 (*.f64 y y))) (+.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1/2 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) 2)) (cbrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))) (sqrt.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (-.f64 1/2 y) x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (-.f64 1/2 y)) 1) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 (log.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (-.f64 1/2 y)) 1) (*.f64 (log.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (-.f64 1/2 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (*.f64 (log.f64 (-.f64 1/2 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 x (*.f64 (neg.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (-.f64 1/2 y) x 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x 1)) 2) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x 1)) (sqrt.f64 (fma.f64 (-.f64 1/2 y) x 1)) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (-.f64 1/2 y) x 1) (-.f64 1 (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))) (/.f64 (pow.f64 (log.f64 2) 2) (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 2) (fma.f64 (-.f64 1/2 y) x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (cbrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 2)) (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (/.f64 1 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)) (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)) (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (-.f64 1/2 y) (*.f64 x (log.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2)) (fma.f64 (-.f64 1/2 y) x (log.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (fma.f64 (log.f64 2) (-.f64 (log.f64 2) (*.f64 (-.f64 1/2 y) x)) (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (log.f64 2) 2))) (neg.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 1/2))))))) 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(#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 2 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1/2 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (-.f64 1/2 y) x (log.f64 2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1/2 y) x (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (-.f64 1/2 y) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1/2 y) x) 1 (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 2) 1 (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 2) (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (-.f64 1/2 y) x 1) (neg.f64 (-.f64 1 (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (cbrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2)) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x 1)) 2)) (log.f64 (cbrt.f64 (fma.f64 (-.f64 1/2 y) x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x 1))) (log.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (*.f64 (-.f64 1/2 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))) (log.f64 (-.f64 1 (*.f64 (-.f64 1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) 2) (cbrt.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) (sqrt.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))) 2)) (cbrt.f64 (log.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))))) (sqrt.f64 (log.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (fma.f64 (-.f64 1/2 y) x 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) 1) 1))))))

simplify80.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
656×times-frac_binary64
490×fma-def_binary64
377×associate-/r*_binary64
348×associate-+l+_binary64
346×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01231436
13911222
213321200
376941191
Stop Event
1×node limit
Counts
226 → 209
Calls
Call 1
Inputs
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(log.f64 2)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(log.f64 (+.f64 (*.f64 1/2 x) 1))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 (*.f64 1/2 x) 1))) (log.f64 (+.f64 (*.f64 1/2 x) 1)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 (*.f64 1/2 x) 1))) (+.f64 (log.f64 (+.f64 (*.f64 1/2 x) 1)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 (+.f64 (*.f64 1/2 x) 1) 2)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 (*.f64 1/2 x) 1))) (+.f64 (log.f64 (+.f64 (*.f64 1/2 x) 1)) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 3)) (pow.f64 (+.f64 (*.f64 1/2 x) 1) 3))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 (+.f64 (*.f64 1/2 x) 1) 2))))))
(+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 x) 1) (*.f64 y x))) (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 x) 1) (*.f64 y x))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 1) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))) (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y))))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 x) 1) (*.f64 y x))) (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 1) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 3)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 1) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))) (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (/.f64 1 x)) y)) (log.f64 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (/.f64 1 x)) y)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 1) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))) (log.f64 x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (/.f64 1 x)) y)) (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 1) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 3)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 1) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))) (log.f64 x)))))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 (-.f64 1/2 y) x) (*.f64 -1/2 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3))) (+.f64 (*.f64 (-.f64 1/2 y) x) (*.f64 -1/2 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2)))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3))) (+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2))) (*.f64 -1/4 (*.f64 (pow.f64 (-.f64 1/2 y) 4) (pow.f64 x 4))))))
(+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 (-.f64 1/2 y)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 (*.f64 (-.f64 1/2 y) x))))
(-.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 (*.f64 (-.f64 1/2 y) x)))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3)))) (/.f64 1 (*.f64 (-.f64 1/2 y) x))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 (-.f64 1/2 y))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 (*.f64 (-.f64 1/2 y) x)) (log.f64 (*.f64 -1 (-.f64 1/2 y)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 (*.f64 (-.f64 1/2 y) x)) (log.f64 (*.f64 -1 (-.f64 1/2 y))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3)))) (+.f64 (/.f64 1 (*.f64 (-.f64 1/2 y) x)) (log.f64 (*.f64 -1 (-.f64 1/2 y)))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2)))))
Outputs
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 2)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 (-.f64 1/2 y) x)
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 (-.f64 1/2 y) x)
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 (+.f64 (*.f64 1/2 x) 1))
(log.f64 (fma.f64 1/2 x 1))
(log1p.f64 (*.f64 1/2 x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 (*.f64 1/2 x) 1))) (log.f64 (+.f64 (*.f64 1/2 x) 1)))
(fma.f64 -1 (/.f64 (*.f64 x y) (fma.f64 1/2 x 1)) (log.f64 (fma.f64 1/2 x 1)))
(-.f64 (log1p.f64 (*.f64 1/2 x)) (*.f64 (/.f64 y (fma.f64 1/2 x 1)) x))
(-.f64 (log1p.f64 (*.f64 1/2 x)) (*.f64 x (/.f64 y (fma.f64 1/2 x 1))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 (*.f64 1/2 x) 1))) (+.f64 (log.f64 (+.f64 (*.f64 1/2 x) 1)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 (+.f64 (*.f64 1/2 x) 1) 2)))))
(+.f64 (fma.f64 -1 (/.f64 (*.f64 x y) (fma.f64 1/2 x 1)) (log.f64 (fma.f64 1/2 x 1))) (/.f64 (*.f64 -1/2 (*.f64 (*.f64 y y) (*.f64 x x))) (pow.f64 (fma.f64 1/2 x 1) 2)))
(-.f64 (fma.f64 -1/2 (/.f64 y (/.f64 (/.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (*.f64 x x)) y)) (log1p.f64 (*.f64 1/2 x))) (*.f64 (/.f64 y (fma.f64 1/2 x 1)) x))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 (*.f64 x x) (/.f64 (pow.f64 (fma.f64 1/2 x 1) 2) y)) y) (log1p.f64 (*.f64 1/2 x))) (*.f64 x (/.f64 y (fma.f64 1/2 x 1))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 y x) (+.f64 (*.f64 1/2 x) 1))) (+.f64 (log.f64 (+.f64 (*.f64 1/2 x) 1)) (+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 3)) (pow.f64 (+.f64 (*.f64 1/2 x) 1) 3))) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 y 2) (pow.f64 x 2)) (pow.f64 (+.f64 (*.f64 1/2 x) 1) 2))))))
(+.f64 (fma.f64 -1 (/.f64 (*.f64 x y) (fma.f64 1/2 x 1)) (log.f64 (fma.f64 1/2 x 1))) (fma.f64 -1/3 (/.f64 (*.f64 (pow.f64 y 3) (pow.f64 x 3)) (pow.f64 (fma.f64 1/2 x 1) 3)) (/.f64 (*.f64 -1/2 (*.f64 (*.f64 y y) (*.f64 x x))) (pow.f64 (fma.f64 1/2 x 1) 2))))
(+.f64 (-.f64 (log1p.f64 (*.f64 1/2 x)) (*.f64 (/.f64 y (fma.f64 1/2 x 1)) x)) (fma.f64 -1/3 (*.f64 (/.f64 (pow.f64 y 3) (pow.f64 (fma.f64 1/2 x 1) 3)) (pow.f64 x 3)) (/.f64 -1/2 (/.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (*.f64 x (*.f64 x (*.f64 y y)))))))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 (*.f64 x x) (/.f64 (pow.f64 (fma.f64 1/2 x 1) 2) y)) y) (fma.f64 -1/3 (/.f64 (pow.f64 y 3) (pow.f64 (/.f64 (fma.f64 1/2 x 1) x) 3)) (log1p.f64 (*.f64 1/2 x)))) (*.f64 x (/.f64 y (fma.f64 1/2 x 1))))
(-.f64 (fma.f64 -1/2 (*.f64 (/.f64 (*.f64 x x) (/.f64 (pow.f64 (fma.f64 1/2 x 1) 2) y)) y) (fma.f64 -1/3 (pow.f64 (*.f64 x (/.f64 y (fma.f64 1/2 x 1))) 3) (log1p.f64 (*.f64 1/2 x)))) (*.f64 x (/.f64 y (fma.f64 1/2 x 1))))
(+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y))))
(+.f64 (log.f64 (neg.f64 x)) (neg.f64 (neg.f64 (log.f64 y))))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 y))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 x) 1) (*.f64 y x))) (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))))
(fma.f64 -1 (/.f64 (fma.f64 1/2 x 1) (*.f64 x y)) (+.f64 (log.f64 (neg.f64 x)) (neg.f64 (neg.f64 (log.f64 y)))))
(-.f64 (+.f64 (log.f64 (neg.f64 x)) (log.f64 y)) (/.f64 (fma.f64 1/2 x 1) (*.f64 x y)))
(+.f64 (log.f64 (neg.f64 x)) (-.f64 (log.f64 y) (/.f64 (fma.f64 1/2 x 1) (*.f64 x y))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 x) 1) (*.f64 y x))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 1) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))) (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y))))))
(fma.f64 -1 (/.f64 (fma.f64 1/2 x 1) (*.f64 x y)) (fma.f64 -1/2 (/.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (*.f64 (*.f64 y y) (*.f64 x x))) (+.f64 (log.f64 (neg.f64 x)) (neg.f64 (neg.f64 (log.f64 y))))))
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (*.f64 x (*.f64 x (*.f64 y y)))) (+.f64 (log.f64 (neg.f64 x)) (log.f64 y))) (/.f64 (fma.f64 1/2 x 1) (*.f64 x y)))
(+.f64 (log.f64 y) (-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (*.f64 x (*.f64 x (*.f64 y y)))) (log.f64 (neg.f64 x))) (/.f64 (fma.f64 1/2 x 1) (*.f64 x y))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 x) 1) (*.f64 y x))) (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 1) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 3)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 1) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))) (+.f64 (log.f64 (*.f64 -1 x)) (*.f64 -1 (log.f64 (/.f64 1 y)))))))
(fma.f64 -1 (/.f64 (fma.f64 1/2 x 1) (*.f64 x y)) (fma.f64 -1/3 (/.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 3))) (fma.f64 -1/2 (/.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (*.f64 (*.f64 y y) (*.f64 x x))) (+.f64 (log.f64 (neg.f64 x)) (neg.f64 (neg.f64 (log.f64 y)))))))
(-.f64 (fma.f64 -1/3 (/.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 3))) (fma.f64 -1/2 (/.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (*.f64 x (*.f64 x (*.f64 y y)))) (+.f64 (log.f64 (neg.f64 x)) (log.f64 y)))) (/.f64 (fma.f64 1/2 x 1) (*.f64 x y)))
(+.f64 (fma.f64 -1/3 (/.f64 (pow.f64 (/.f64 (fma.f64 1/2 x 1) x) 3) (pow.f64 y 3)) (fma.f64 -1/2 (/.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (*.f64 x (*.f64 x (*.f64 y y)))) (log.f64 (neg.f64 x)))) (-.f64 (log.f64 y) (/.f64 (fma.f64 1/2 x 1) (*.f64 x y))))
(+.f64 (fma.f64 -1/3 (pow.f64 (/.f64 (fma.f64 1/2 x 1) (*.f64 x y)) 3) (fma.f64 -1/2 (/.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (*.f64 x (*.f64 x (*.f64 y y)))) (log.f64 (neg.f64 x)))) (-.f64 (log.f64 y) (/.f64 (fma.f64 1/2 x 1) (*.f64 x y))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 x))
(fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 x))
(-.f64 (log.f64 x) (log.f64 (/.f64 -1 y)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (/.f64 1 x)) y)) (log.f64 x)))
(fma.f64 -1 (log.f64 (/.f64 -1 y)) (fma.f64 -1 (/.f64 (+.f64 1/2 (/.f64 1 x)) y) (log.f64 x)))
(-.f64 (-.f64 (log.f64 x) (/.f64 (+.f64 1/2 (/.f64 1 x)) y)) (log.f64 (/.f64 -1 y)))
(+.f64 (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))) (/.f64 (+.f64 -1/2 (/.f64 -1 x)) y))
(-.f64 (/.f64 (-.f64 -1/2 (/.f64 1 x)) y) (-.f64 (log.f64 (/.f64 -1 y)) (log.f64 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (/.f64 1 x)) y)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 1) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))) (log.f64 x))))
(fma.f64 -1 (log.f64 (/.f64 -1 y)) (fma.f64 -1 (/.f64 (+.f64 1/2 (/.f64 1 x)) y) (fma.f64 -1/2 (/.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (*.f64 (*.f64 y y) (*.f64 x x))) (log.f64 x))))
(-.f64 (-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (*.f64 x (*.f64 x (*.f64 y y)))) (log.f64 x)) (/.f64 (+.f64 1/2 (/.f64 1 x)) y)) (log.f64 (/.f64 -1 y)))
(+.f64 (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))) (fma.f64 -1/2 (/.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (*.f64 x (*.f64 x (*.f64 y y)))) (/.f64 (+.f64 -1/2 (/.f64 -1 x)) y)))
(+.f64 (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))) (fma.f64 -1/2 (/.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (*.f64 x (*.f64 x (*.f64 y y)))) (/.f64 (-.f64 -1/2 (/.f64 1 x)) y)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (/.f64 1 x)) y)) (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 1) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 3)))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (+.f64 (*.f64 1/2 x) 1) 2) (*.f64 (pow.f64 y 2) (pow.f64 x 2)))) (log.f64 x)))))
(fma.f64 -1 (log.f64 (/.f64 -1 y)) (fma.f64 -1 (/.f64 (+.f64 1/2 (/.f64 1 x)) y) (fma.f64 -1/3 (/.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 3))) (fma.f64 -1/2 (/.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (*.f64 (*.f64 y y) (*.f64 x x))) (log.f64 x)))))
(-.f64 (-.f64 (fma.f64 -1/3 (/.f64 (pow.f64 (fma.f64 1/2 x 1) 3) (*.f64 (pow.f64 y 3) (pow.f64 x 3))) (fma.f64 -1/2 (/.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (*.f64 x (*.f64 x (*.f64 y y)))) (log.f64 x))) (/.f64 (+.f64 1/2 (/.f64 1 x)) y)) (log.f64 (/.f64 -1 y)))
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (*.f64 x (*.f64 x (*.f64 y y)))) (fma.f64 -1/3 (/.f64 (pow.f64 (/.f64 (fma.f64 1/2 x 1) x) 3) (pow.f64 y 3)) (log.f64 x))) (+.f64 (log.f64 (/.f64 -1 y)) (/.f64 (+.f64 1/2 (/.f64 1 x)) y)))
(+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (*.f64 x (*.f64 x (*.f64 y y)))) (log.f64 x)) (-.f64 (fma.f64 -1/3 (pow.f64 (/.f64 (fma.f64 1/2 x 1) (*.f64 x y)) 3) (/.f64 (-.f64 -1/2 (/.f64 1 x)) y)) (log.f64 (/.f64 -1 y))))
(*.f64 (-.f64 1/2 y) x)
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 (-.f64 1/2 y) x) (*.f64 -1/2 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2))))
(fma.f64 (-.f64 1/2 y) x (*.f64 -1/2 (*.f64 (*.f64 x x) (pow.f64 (-.f64 1/2 y) 2))))
(fma.f64 x (-.f64 1/2 y) (*.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x x) -1/2)))
(*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 -1/2 (*.f64 x (pow.f64 (-.f64 1/2 y) 2)))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3))) (+.f64 (*.f64 (-.f64 1/2 y) x) (*.f64 -1/2 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2)))))
(fma.f64 1/3 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1/2 y) 3)) (fma.f64 (-.f64 1/2 y) x (*.f64 -1/2 (*.f64 (*.f64 x x) (pow.f64 (-.f64 1/2 y) 2)))))
(fma.f64 1/3 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1/2 y) 3)) (fma.f64 x (-.f64 1/2 y) (*.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x x) -1/2))))
(fma.f64 (pow.f64 x 3) (*.f64 1/3 (pow.f64 (-.f64 1/2 y) 3)) (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 -1/2 (*.f64 x (pow.f64 (-.f64 1/2 y) 2))))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3))) (+.f64 (*.f64 (-.f64 1/2 y) x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2))) (*.f64 -1/4 (*.f64 (pow.f64 (-.f64 1/2 y) 4) (pow.f64 x 4))))))
(fma.f64 1/3 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1/2 y) 3)) (fma.f64 (-.f64 1/2 y) x (fma.f64 -1/2 (*.f64 (*.f64 x x) (pow.f64 (-.f64 1/2 y) 2)) (*.f64 -1/4 (*.f64 (pow.f64 (-.f64 1/2 y) 4) (pow.f64 x 4))))))
(fma.f64 1/3 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1/2 y) 3)) (fma.f64 x (-.f64 1/2 y) (fma.f64 -1/4 (*.f64 (pow.f64 (-.f64 1/2 y) 4) (pow.f64 x 4)) (*.f64 (pow.f64 (-.f64 1/2 y) 2) (*.f64 (*.f64 x x) -1/2)))))
(fma.f64 (pow.f64 x 3) (*.f64 1/3 (pow.f64 (-.f64 1/2 y) 3)) (fma.f64 -1/4 (*.f64 (pow.f64 (-.f64 1/2 y) 4) (pow.f64 x 4)) (*.f64 x (+.f64 (-.f64 1/2 y) (*.f64 -1/2 (*.f64 x (pow.f64 (-.f64 1/2 y) 2)))))))
(+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 (-.f64 1/2 y)) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y)))
(+.f64 (log.f64 (-.f64 1/2 y)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 (*.f64 (-.f64 1/2 y) x))))
(+.f64 (log.f64 (-.f64 1/2 y)) (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 (/.f64 1 (-.f64 1/2 y)) x)))
(+.f64 (log.f64 x) (+.f64 (log.f64 (-.f64 1/2 y)) (/.f64 1 (*.f64 x (-.f64 1/2 y)))))
(+.f64 (log.f64 x) (+.f64 (log.f64 (-.f64 1/2 y)) (/.f64 (/.f64 1 x) (-.f64 1/2 y))))
(-.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 (*.f64 (-.f64 1/2 y) x)))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 (/.f64 1 (-.f64 1/2 y)) x))) (/.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (-.f64 1/2 y) 2))))
(+.f64 (+.f64 (log.f64 x) (+.f64 (log.f64 (-.f64 1/2 y)) (/.f64 1 (*.f64 x (-.f64 1/2 y))))) (/.f64 -1/2 (*.f64 (*.f64 x x) (pow.f64 (-.f64 1/2 y) 2))))
(+.f64 (log.f64 x) (-.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (/.f64 (/.f64 1 x) (-.f64 1/2 y))) (/.f64 (/.f64 1/2 (*.f64 x x)) (pow.f64 (-.f64 1/2 y) 2))))
(+.f64 (log.f64 x) (+.f64 (log.f64 (-.f64 1/2 y)) (+.f64 (/.f64 (/.f64 1 x) (-.f64 1/2 y)) (/.f64 (/.f64 -1/2 (*.f64 x x)) (pow.f64 (-.f64 1/2 y) 2)))))
(-.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3)))) (/.f64 1 (*.f64 (-.f64 1/2 y) x))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2)))))
(+.f64 (log.f64 (-.f64 1/2 y)) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (/.f64 (/.f64 1 (-.f64 1/2 y)) x) (/.f64 1/3 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1/2 y) 3))))) (/.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (-.f64 1/2 y) 2)))))
(+.f64 (log.f64 (-.f64 1/2 y)) (-.f64 (+.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1/2 y) 3))) (+.f64 (log.f64 x) (/.f64 1 (*.f64 x (-.f64 1/2 y))))) (/.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (-.f64 1/2 y) 2)))))
(+.f64 (log.f64 (-.f64 1/2 y)) (+.f64 (+.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1/2 y) 3))) (+.f64 (log.f64 x) (/.f64 (/.f64 1 x) (-.f64 1/2 y)))) (/.f64 (/.f64 -1/2 (*.f64 x x)) (pow.f64 (-.f64 1/2 y) 2))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (*.f64 -1 (-.f64 1/2 y))))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (neg.f64 (-.f64 1/2 y))))
(-.f64 (log.f64 (neg.f64 (-.f64 1/2 y))) (log.f64 (/.f64 -1 x)))
(-.f64 (log.f64 (+.f64 y -1/2)) (log.f64 (/.f64 -1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 (*.f64 (-.f64 1/2 y) x)) (log.f64 (*.f64 -1 (-.f64 1/2 y)))))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 (/.f64 1 (-.f64 1/2 y)) x) (log.f64 (neg.f64 (-.f64 1/2 y)))))
(+.f64 (/.f64 1 (*.f64 x (-.f64 1/2 y))) (-.f64 (log.f64 (neg.f64 (-.f64 1/2 y))) (log.f64 (/.f64 -1 x))))
(+.f64 (/.f64 (/.f64 1 x) (-.f64 1/2 y)) (-.f64 (log.f64 (+.f64 y -1/2)) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 (*.f64 (-.f64 1/2 y) x)) (log.f64 (*.f64 -1 (-.f64 1/2 y))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2)))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 (/.f64 1 (-.f64 1/2 y)) x) (log.f64 (neg.f64 (-.f64 1/2 y))))) (/.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (-.f64 1/2 y) 2))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x (-.f64 1/2 y))) (-.f64 (log.f64 (neg.f64 (-.f64 1/2 y))) (log.f64 (/.f64 -1 x)))) (/.f64 -1/2 (*.f64 (*.f64 x x) (pow.f64 (-.f64 1/2 y) 2))))
(-.f64 (+.f64 (/.f64 (/.f64 1 x) (-.f64 1/2 y)) (log.f64 (+.f64 y -1/2))) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 (/.f64 1/2 (*.f64 x x)) (pow.f64 (-.f64 1/2 y) 2))))
(+.f64 (/.f64 (/.f64 1 x) (-.f64 1/2 y)) (-.f64 (+.f64 (log.f64 (+.f64 y -1/2)) (/.f64 (/.f64 -1/2 (*.f64 x x)) (pow.f64 (-.f64 1/2 y) 2))) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3)))) (+.f64 (/.f64 1 (*.f64 (-.f64 1/2 y) x)) (log.f64 (*.f64 -1 (-.f64 1/2 y)))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 1/2 y) 2) (pow.f64 x 2)))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1/2 y) 3))) (+.f64 (/.f64 (/.f64 1 (-.f64 1/2 y)) x) (log.f64 (neg.f64 (-.f64 1/2 y)))))) (/.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (-.f64 1/2 y) 2))))
(+.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x (-.f64 1/2 y))) (/.f64 1/3 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1/2 y) 3)))) (-.f64 (log.f64 (neg.f64 (-.f64 1/2 y))) (log.f64 (/.f64 -1 x)))) (/.f64 -1/2 (*.f64 (*.f64 x x) (pow.f64 (-.f64 1/2 y) 2))))
(+.f64 (+.f64 (/.f64 (/.f64 1 x) (-.f64 1/2 y)) (-.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1/2 y) 3))) (log.f64 (/.f64 -1 x)))) (+.f64 (log.f64 (+.f64 y -1/2)) (/.f64 (/.f64 -1/2 (*.f64 x x)) (pow.f64 (-.f64 1/2 y) 2))))
(+.f64 (/.f64 (/.f64 1 x) (-.f64 1/2 y)) (+.f64 (+.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1/2 y) 3))) (log.f64 (+.f64 y -1/2))) (-.f64 (/.f64 (/.f64 -1/2 (*.f64 x x)) (pow.f64 (-.f64 1/2 y) 2)) (log.f64 (/.f64 -1 x)))))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 18 to 9 computations (50% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite66.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
857×pow1_binary64
797×add-log-exp_binary64
797×log1p-expm1-u_binary64
797×expm1-log1p-u_binary64
782×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0710
11627
221777
Stop Event
1×node limit
Counts
1 → 49
Calls
Call 1
Inputs
(-.f64 (*.f64 1/2 x) (*.f64 x y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 x) (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 x) (*.f64 (*.f64 y (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 x) (+.f64 (*.f64 y (neg.f64 x)) (fma.f64 (neg.f64 y) x (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 (*.f64 y (neg.f64 x)) 1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> 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(sqrt.f64 (*.f64 x (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 1/2 x) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 1/2 x) 2) (*.f64 (*.f64 x y) (*.f64 x (+.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 1/2 x) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (*.f64 x (+.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 1/2 x) 2) (*.f64 (*.f64 x y) (*.f64 x (+.f64 1/2 y)))) (-.f64 (pow.f64 (*.f64 1/2 x) 3) (pow.f64 (*.f64 x y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x (+.f64 1/2 y)) (-.f64 (pow.f64 (*.f64 1/2 x) 2) (pow.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 1/2 x) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (*.f64 1/2 x) 2) (*.f64 (*.f64 x y) (*.f64 x (+.f64 1/2 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 1/2 x) 2) (pow.f64 (*.f64 x y) 2)) (*.f64 x (+.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 1/2 x) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 1/2 x) 2) (*.f64 (*.f64 x y) (*.f64 x (+.f64 1/2 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 1/2 x) 2) (pow.f64 (*.f64 x y) 2))) (neg.f64 (*.f64 x (+.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 1/2 x) 3) (pow.f64 (*.f64 y (neg.f64 x)) 3)) (+.f64 (pow.f64 (*.f64 1/2 x) 2) (-.f64 (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x))) (*.f64 (*.f64 1/2 x) (*.f64 y (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) (pow.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) 3)) (+.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (-.f64 (*.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y))) (*.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 1/2 x) 2) (*.f64 (*.f64 y (neg.f64 x)) (*.f64 y (neg.f64 x)))) (-.f64 (*.f64 1/2 x) (*.f64 y (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (*.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))) (-.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 (neg.f64 y) x (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (-.f64 1/2 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 x (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/2 x) (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (-.f64 1/2 y)) (fma.f64 (neg.f64 y) x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (-.f64 1/2 y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 x)) 2) (cbrt.f64 (*.f64 1/2 x)) (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (sqrt.f64 (*.f64 x (-.f64 1/2 y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/2 x)) (sqrt.f64 (*.f64 1/2 x)) (*.f64 y (neg.f64 x)))))))

simplify27.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
166×fma-def_binary64
107×fma-neg_binary64
36×cancel-sign-sub-inv_binary64
22×sub-neg_binary64
18×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
014163
127163
246163
363163
492163
5147163
6235163
7330163
8469163
9609163
10623163
Stop Event
1×saturated
Counts
73 → 55
Calls
Call 1
Inputs
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (+.f64 1/2 (*.f64 -1 y)) x)
(*.f64 (+.f64 1/2 (*.f64 -1 y)) x)
(*.f64 (+.f64 1/2 (*.f64 -1 y)) x)
(*.f64 (+.f64 1/2 (*.f64 -1 y)) x)
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
Outputs
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (+.f64 1/2 (*.f64 -1 y)) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (+.f64 1/2 (*.f64 -1 y)) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (+.f64 1/2 (*.f64 -1 y)) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (+.f64 1/2 (*.f64 -1 y)) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(*.f64 -1 (*.f64 y x))
(*.f64 (neg.f64 y) x)
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(*.f64 -1 (*.f64 y x))
(*.f64 (neg.f64 y) x)
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 x (-.f64 1/2 y))

localize41.0ms (0.5%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓5.4b
(*.f64 (-.f64 1/4 (*.f64 y y)) x)
✓10.2b
(/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y))
Compiler

Compiled 35 to 18 computations (48.6% saved)

series7.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite85.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
553×log-prod_binary64
345×pow-prod-down_binary64
296×pow2_binary64
205×pow1/3_binary64
202×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01026
123017
2321417
Stop Event
1×node limit
Counts
2 → 84
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y))
(*.f64 (-.f64 1/4 (*.f64 y y)) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (-.f64 1/2 y) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (-.f64 1/2 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (-.f64 1/2 y) x)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (-.f64 1/2 y) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/4 (/.f64 (+.f64 y 1/2) x)) (/.f64 (*.f64 y y) (/.f64 (+.f64 y 1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 (/.f64 (+.f64 y 1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/4 (*.f64 y y)) (*.f64 x (/.f64 1 (+.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 (+.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (/.f64 1 (+.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1/2 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2) (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 2) (*.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (/.f64 1 (+.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) (sqrt.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (*.f64 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (/.f64 1 (+.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) (neg.f64 x)) (/.f64 1 (fma.f64 -1 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 y 1/2)) (*.f64 (-.f64 1/4 (*.f64 y y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/2 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) 1) (/.f64 x (+.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (-.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (+.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 1) (/.f64 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (+.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (/.f64 x (cbrt.f64 (+.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (/.f64 (-.f64 1/4 (*.f64 y y)) (cbrt.f64 (+.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 y 1/2)) -2) (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (cbrt.f64 (+.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 2) (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2)) (/.f64 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (cbrt.f64 (+.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (sqrt.f64 (+.f64 y 1/2))) (/.f64 x (sqrt.f64 (+.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (+.f64 y 1/2))) (/.f64 (-.f64 1/4 (*.f64 y y)) (sqrt.f64 (+.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 y 1/2) -1/2) (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (sqrt.f64 (+.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 2) (sqrt.f64 (+.f64 y 1/2))) (/.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) (sqrt.f64 (+.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (-.f64 1/4 (*.f64 y y))) (-.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 y (-.f64 y 1/2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1/2 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 (-.f64 1/2 y) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) 3) (pow.f64 (+.f64 y 1/2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 (*.f64 (-.f64 1/2 y) x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (fma.f64 -1 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) 3) (pow.f64 (+.f64 y 1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1/2 y) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (-.f64 1/2 y) x))) -1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1/4 (*.f64 y y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/4 x) (*.f64 (*.f64 y (neg.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/4) (*.f64 x (*.f64 y (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/4 (*.f64 y y)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/4 (*.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/4 (*.f64 y y))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (-.f64 1/4 (*.f64 y y))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/64 (pow.f64 y 6)) x) (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/16 (pow.f64 y 4)) x) (fma.f64 y y 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1/64 (pow.f64 y 6))) (fma.f64 (*.f64 y y) (fma.f64 y y 1/4) 1/16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1/16 (pow.f64 y 4))) (fma.f64 y y 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (-.f64 1/4 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/4 x (*.f64 (*.f64 y (neg.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/4 (*.f64 x (*.f64 y (neg.f64 y))))))))

simplify81.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
573×cancel-sign-sub-inv_binary64
559×fma-def_binary64
535×fma-neg_binary64
366×associate-/l*_binary64
319×div-sub_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
021593
148521
2103503
3199503
4539503
51758503
64412503
76942503
Stop Event
1×node limit
Counts
132 → 99
Calls
Call 1
Inputs
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(*.f64 1/4 x)
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 1/4 x))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 1/4 x))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 1/4 x))
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(+.f64 (*.f64 1/4 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))
(+.f64 (*.f64 1/4 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))
(+.f64 (*.f64 1/4 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(+.f64 (*.f64 1/4 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))
(+.f64 (*.f64 1/4 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))
(+.f64 (*.f64 1/4 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
Outputs
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (+.f64 (neg.f64 y) 1/2))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (+.f64 (neg.f64 y) 1/2))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (+.f64 (neg.f64 y) 1/2))
(*.f64 x (-.f64 1/2 y))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (+.f64 (neg.f64 y) 1/2))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (+.f64 (neg.f64 y) 1/2))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (+.f64 (neg.f64 y) 1/2))
(*.f64 x (-.f64 1/2 y))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (+.f64 (neg.f64 y) 1/2))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (+.f64 (neg.f64 y) 1/2))
(*.f64 x (-.f64 1/2 y))
(+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x)))
(fma.f64 1/2 x (neg.f64 (*.f64 x y)))
(*.f64 x (+.f64 (neg.f64 y) 1/2))
(*.f64 x (-.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)) x)
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y)))
(*.f64 (neg.f64 (fma.f64 y y -1/4)) (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 (neg.f64 (fma.f64 y y -1/4)) (+.f64 1/2 y)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)) x)
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y)))
(*.f64 (neg.f64 (fma.f64 y y -1/4)) (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 (neg.f64 (fma.f64 y y -1/4)) (+.f64 1/2 y)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)) x)
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y)))
(*.f64 (neg.f64 (fma.f64 y y -1/4)) (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 (neg.f64 (fma.f64 y y -1/4)) (+.f64 1/2 y)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)) x)
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y)))
(*.f64 (neg.f64 (fma.f64 y y -1/4)) (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 (neg.f64 (fma.f64 y y -1/4)) (+.f64 1/2 y)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)) x)
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y)))
(*.f64 (neg.f64 (fma.f64 y y -1/4)) (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 (neg.f64 (fma.f64 y y -1/4)) (+.f64 1/2 y)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)) x)
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y)))
(*.f64 (neg.f64 (fma.f64 y y -1/4)) (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 (neg.f64 (fma.f64 y y -1/4)) (+.f64 1/2 y)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)) x)
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y)))
(*.f64 (neg.f64 (fma.f64 y y -1/4)) (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 (neg.f64 (fma.f64 y y -1/4)) (+.f64 1/2 y)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)) x)
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y)))
(*.f64 (neg.f64 (fma.f64 y y -1/4)) (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 (neg.f64 (fma.f64 y y -1/4)) (+.f64 1/2 y)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)) x)
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y)))
(*.f64 (neg.f64 (fma.f64 y y -1/4)) (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 (neg.f64 (fma.f64 y y -1/4)) (+.f64 1/2 y)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)) x)
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y)))
(*.f64 (neg.f64 (fma.f64 y y -1/4)) (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 (neg.f64 (fma.f64 y y -1/4)) (+.f64 1/2 y)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)) x)
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y)))
(*.f64 (neg.f64 (fma.f64 y y -1/4)) (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 (neg.f64 (fma.f64 y y -1/4)) (+.f64 1/2 y)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(/.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 (+.f64 1/2 y) x))
(*.f64 (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)) x)
(*.f64 x (/.f64 (-.f64 1/4 (*.f64 y y)) (+.f64 1/2 y)))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 x (+.f64 1/2 y)))
(*.f64 (neg.f64 (fma.f64 y y -1/4)) (/.f64 x (+.f64 1/2 y)))
(*.f64 x (/.f64 (neg.f64 (fma.f64 y y -1/4)) (+.f64 1/2 y)))
(*.f64 1/4 x)
(*.f64 x 1/4)
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 1/4 x))
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 x (neg.f64 (fma.f64 y y -1/4)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 1/4 x))
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 x (neg.f64 (fma.f64 y y -1/4)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 y 2) x)) (*.f64 1/4 x))
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 x (neg.f64 (fma.f64 y y -1/4)))
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(neg.f64 (*.f64 x (*.f64 y y)))
(*.f64 x (*.f64 y (neg.f64 y)))
(*.f64 y (*.f64 y (neg.f64 x)))
(+.f64 (*.f64 1/4 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 x (neg.f64 (fma.f64 y y -1/4)))
(+.f64 (*.f64 1/4 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 x (neg.f64 (fma.f64 y y -1/4)))
(+.f64 (*.f64 1/4 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 x (neg.f64 (fma.f64 y y -1/4)))
(*.f64 -1 (*.f64 (pow.f64 y 2) x))
(neg.f64 (*.f64 x (*.f64 y y)))
(*.f64 x (*.f64 y (neg.f64 y)))
(*.f64 y (*.f64 y (neg.f64 x)))
(+.f64 (*.f64 1/4 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 x (neg.f64 (fma.f64 y y -1/4)))
(+.f64 (*.f64 1/4 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 x (neg.f64 (fma.f64 y y -1/4)))
(+.f64 (*.f64 1/4 x) (*.f64 -1 (*.f64 (pow.f64 y 2) x)))
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 x (neg.f64 (fma.f64 y y -1/4)))
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 x (neg.f64 (fma.f64 y y -1/4)))
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 x (neg.f64 (fma.f64 y y -1/4)))
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 x (neg.f64 (fma.f64 y y -1/4)))
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 x (neg.f64 (fma.f64 y y -1/4)))
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 x (neg.f64 (fma.f64 y y -1/4)))
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 x (neg.f64 (fma.f64 y y -1/4)))
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 x (neg.f64 (fma.f64 y y -1/4)))
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 x (neg.f64 (fma.f64 y y -1/4)))
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 x (neg.f64 (fma.f64 y y -1/4)))
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 x (neg.f64 (fma.f64 y y -1/4)))
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 x (neg.f64 (fma.f64 y y -1/4)))
(*.f64 (-.f64 1/4 (pow.f64 y 2)) x)
(fma.f64 1/4 x (neg.f64 (*.f64 x (*.f64 y y))))
(*.f64 x (-.f64 1/4 (*.f64 y y)))
(*.f64 x (neg.f64 (fma.f64 y y -1/4)))

eval236.0ms (2.6%)

Compiler

Compiled 6306 to 4556 computations (27.8% saved)

prune168.0ms (1.9%)

Pruning

19 alts after pruning (8 fresh and 11 done)

PrunedKeptTotal
New3828390
Fresh000
Picked011
Done11011
Total38319402
Error
0.2b
Counts
402 → 19
Alt Table
Click to see full alt table
StatusErrorProgram
✓28.9b
(log.f64 2)
56.2b
(*.f64 (-.f64 1/4 (*.f64 y y)) (*.f64 x (/.f64 1 (+.f64 y 1/2))))
✓57.7b
(/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y))
✓34.1b
(*.f64 x (neg.f64 y))
✓4.8b
(-.f64 (log.f64 2) (*.f64 x y))
57.7b
(*.f64 (/.f64 1 (+.f64 y 1/2)) (*.f64 (-.f64 1/4 (*.f64 y y)) x))
✓10.4b
(-.f64 (-.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 1) (*.f64 x y))
20.2b
(+.f64 (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) 3)) (log.f64 2))
✓5.3b
(-.f64 (-.f64 (+.f64 (log.f64 2) 1) 1) (*.f64 x y))
✓61.9b
(*.f64 1/2 x)
62.1b
(/.f64 (*.f64 x 1/4) (+.f64 1/2 y))
29.1b
(+.f64 (expm1.f64 (log1p.f64 (*.f64 1/2 x))) (log.f64 2))
✓43.5b
(-.f64 (*.f64 1/2 x) (*.f64 x y))
56.2b
(*.f64 x (*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 (+.f64 y 1/2))))
56.2b
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 (/.f64 (+.f64 y 1/2) x)))
✓0.5b
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓28.7b
(+.f64 (*.f64 1/2 x) (log.f64 2))
54.2b
(/.f64 (*.f64 y (*.f64 y (neg.f64 x))) (+.f64 1/2 y))
✓43.5b
(*.f64 (-.f64 1/2 y) x)
Compiler

Compiled 203 to 155 computations (23.6% saved)

regimes78.0ms (0.9%)

Counts
23 → 1
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x (neg.f64 y))
(*.f64 (-.f64 1/2 y) x)
(/.f64 (*.f64 x 1/4) (+.f64 1/2 y))
(-.f64 (*.f64 1/2 x) (*.f64 x y))
(/.f64 (*.f64 y (*.f64 y (neg.f64 x))) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y))
(*.f64 (-.f64 1/4 (*.f64 y y)) (*.f64 x (/.f64 1 (+.f64 y 1/2))))
(*.f64 (/.f64 1 (+.f64 y 1/2)) (*.f64 (-.f64 1/4 (*.f64 y y)) x))
(*.f64 x (*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 (+.f64 y 1/2))))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 (/.f64 (+.f64 y 1/2) x)))
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(-.f64 (-.f64 (+.f64 (log.f64 2) 1) 1) (*.f64 x y))
(-.f64 (-.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 1) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (-.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1) (*.f64 x y))
(+.f64 (expm1.f64 (log1p.f64 (*.f64 1/2 x))) (log.f64 2))
(+.f64 (expm1.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) (log.f64 2))
(+.f64 (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (-.f64 1/2 y) x))) 3)) (log.f64 2))
Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
Calls

4 calls:

39.0ms
x
12.0ms
y
11.0ms
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
9.0ms
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Results
ErrorSegmentsBranch
0.5b1x
0.5b1y
0.5b1(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
0.5b1(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 233 to 154 computations (33.9% saved)

regimes77.0ms (0.9%)

Counts
17 → 2
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x (neg.f64 y))
(*.f64 (-.f64 1/2 y) x)
(/.f64 (*.f64 x 1/4) (+.f64 1/2 y))
(-.f64 (*.f64 1/2 x) (*.f64 x y))
(/.f64 (*.f64 y (*.f64 y (neg.f64 x))) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y))
(*.f64 (-.f64 1/4 (*.f64 y y)) (*.f64 x (/.f64 1 (+.f64 y 1/2))))
(*.f64 (/.f64 1 (+.f64 y 1/2)) (*.f64 (-.f64 1/4 (*.f64 y y)) x))
(*.f64 x (*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 (+.f64 y 1/2))))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 (/.f64 (+.f64 y 1/2) x)))
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(-.f64 (-.f64 (+.f64 (log.f64 2) 1) 1) (*.f64 x y))
(-.f64 (-.f64 (+.f64 (*.f64 1/2 x) (+.f64 1 (log.f64 2))) 1) (*.f64 x y))
Outputs
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
Calls

2 calls:

60.0ms
x
13.0ms
y
Results
ErrorSegmentsBranch
0.4b2x
4.8b1y
Compiler

Compiled 153 to 100 computations (34.6% saved)

bsearch65.0ms (0.7%)

Algorithm
1×binary-search
Steps
TimeLeftRight
64.0ms
-140034759546331.44
-770765879.2376016
Compiler

Compiled 16 to 12 computations (25% saved)

regimes52.0ms (0.6%)

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

2 calls:

31.0ms
y
17.0ms
x
Results
ErrorSegmentsBranch
0.7b2x
4.8b1y
Compiler

Compiled 121 to 77 computations (36.4% saved)

bsearch110.0ms (1.2%)

Algorithm
1×binary-search
Steps
TimeLeftRight
109.0ms
-140034759546331.44
-770765879.2376016
Compiler

Compiled 16 to 12 computations (25% saved)

regimes123.0ms (1.4%)

Counts
13 → 4
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x (neg.f64 y))
(*.f64 (-.f64 1/2 y) x)
(/.f64 (*.f64 x 1/4) (+.f64 1/2 y))
(-.f64 (*.f64 1/2 x) (*.f64 x y))
(/.f64 (*.f64 y (*.f64 y (neg.f64 x))) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y))
(*.f64 (-.f64 1/4 (*.f64 y y)) (*.f64 x (/.f64 1 (+.f64 y 1/2))))
(*.f64 (/.f64 1 (+.f64 y 1/2)) (*.f64 (-.f64 1/4 (*.f64 y y)) x))
(*.f64 x (*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 (+.f64 y 1/2))))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 (/.f64 (+.f64 y 1/2) x)))
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
Outputs
(*.f64 x (neg.f64 y))
(log.f64 2)
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 1/2 x) (log.f64 2))
Calls

2 calls:

68.0ms
y
51.0ms
x
Results
ErrorSegmentsBranch
10.9b4x
17.0b5y
Compiler

Compiled 115 to 74 computations (35.7% saved)

bsearch67.0ms (0.7%)

Algorithm
3×binary-search
Steps
TimeLeftRight
25.0ms
8.642116293513819e-31
4.437191041352993e-27
0.0ms
4.0144782270011e-48
4.1622970301787527e-48
42.0ms
-8.132855559904764e-92
-3.416622454479266e-97
Compiler

Compiled 16 to 12 computations (25% saved)

regimes127.0ms (1.4%)

Counts
12 → 3
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x (neg.f64 y))
(*.f64 (-.f64 1/2 y) x)
(/.f64 (*.f64 x 1/4) (+.f64 1/2 y))
(-.f64 (*.f64 1/2 x) (*.f64 x y))
(/.f64 (*.f64 y (*.f64 y (neg.f64 x))) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y))
(*.f64 (-.f64 1/4 (*.f64 y y)) (*.f64 x (/.f64 1 (+.f64 y 1/2))))
(*.f64 (/.f64 1 (+.f64 y 1/2)) (*.f64 (-.f64 1/4 (*.f64 y y)) x))
(*.f64 x (*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 (+.f64 y 1/2))))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 (/.f64 (+.f64 y 1/2) x)))
(log.f64 2)
Outputs
(*.f64 x (neg.f64 y))
(log.f64 2)
(*.f64 (-.f64 1/2 y) x)
Calls

2 calls:

70.0ms
y
53.0ms
x
Results
ErrorSegmentsBranch
11.2b3x
17.4b5y
Compiler

Compiled 109 to 69 computations (36.7% saved)

bsearch32.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
0.0ms
4.0144782270011e-48
4.1622970301787527e-48
32.0ms
-8.132855559904764e-92
-3.416622454479266e-97
Compiler

Compiled 16 to 12 computations (25% saved)

regimes19.0ms (0.2%)

Accuracy

Total -28.8b remaining (-84.6%)

Threshold costs -28.8b (-84.6%)

Counts
11 → 1
Calls
Call 1
Inputs
(*.f64 1/2 x)
(*.f64 x (neg.f64 y))
(*.f64 (-.f64 1/2 y) x)
(/.f64 (*.f64 x 1/4) (+.f64 1/2 y))
(-.f64 (*.f64 1/2 x) (*.f64 x y))
(/.f64 (*.f64 y (*.f64 y (neg.f64 x))) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y))
(*.f64 (-.f64 1/4 (*.f64 y y)) (*.f64 x (/.f64 1 (+.f64 y 1/2))))
(*.f64 (/.f64 1 (+.f64 y 1/2)) (*.f64 (-.f64 1/4 (*.f64 y y)) x))
(*.f64 x (*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 (+.f64 y 1/2))))
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 (/.f64 (+.f64 y 1/2) x)))
Outputs
(*.f64 x (neg.f64 y))
Calls

2 calls:

8.0ms
y
8.0ms
x
Results
ErrorSegmentsBranch
34.1b1x
34.1b1y
Compiler

Compiled 107 to 67 computations (37.4% saved)

simplify9.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
8×+-commutative_binary64
7×*-commutative_binary64
6×sub-neg_binary64
3×neg-sub0_binary64
3×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034136
154136
264136
369136
471136
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -2240556152741303/16) (*.f64 x (neg.f64 y)) (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -2240556152741303/16) (*.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (*.f64 x y)))
(if (<=.f64 x -5968861750620395/73391955711682288371546268649666782105490079653384995959602842860381532034831513858240593699524021969747968) (*.f64 x (neg.f64 y)) (if (<=.f64 x 6746568685016945/1645504557321206042154969182557350504982735865633579863348609024) (log.f64 2) (if (<=.f64 x 616722027000709/713623846352979940529142984724747568191373312) (*.f64 x (neg.f64 y)) (+.f64 (*.f64 1/2 x) (log.f64 2)))))
(if (<=.f64 x -5968861750620395/73391955711682288371546268649666782105490079653384995959602842860381532034831513858240593699524021969747968) (*.f64 x (neg.f64 y)) (if (<=.f64 x 6746568685016945/1645504557321206042154969182557350504982735865633579863348609024) (log.f64 2) (*.f64 (-.f64 1/2 y) x)))
(*.f64 x (neg.f64 y))
(*.f64 1/2 x)
Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -2240556152741303/16) (*.f64 x (neg.f64 y)) (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -2240556152741303/16) (*.f64 x (neg.f64 y)) (+.f64 (*.f64 x (-.f64 1/2 y)) (log.f64 2)))
(if (<=.f64 x -2240556152741303/16) (*.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (*.f64 x y)))
(if (<=.f64 x -5968861750620395/73391955711682288371546268649666782105490079653384995959602842860381532034831513858240593699524021969747968) (*.f64 x (neg.f64 y)) (if (<=.f64 x 6746568685016945/1645504557321206042154969182557350504982735865633579863348609024) (log.f64 2) (if (<=.f64 x 616722027000709/713623846352979940529142984724747568191373312) (*.f64 x (neg.f64 y)) (+.f64 (*.f64 1/2 x) (log.f64 2)))))
(if (<=.f64 x -5968861750620395/73391955711682288371546268649666782105490079653384995959602842860381532034831513858240593699524021969747968) (*.f64 x (neg.f64 y)) (if (<=.f64 x 6746568685016945/1645504557321206042154969182557350504982735865633579863348609024) (log.f64 2) (if (<=.f64 x 616722027000709/713623846352979940529142984724747568191373312) (*.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (*.f64 x 1/2)))))
(if (<=.f64 x -5968861750620395/73391955711682288371546268649666782105490079653384995959602842860381532034831513858240593699524021969747968) (*.f64 x (neg.f64 y)) (if (<=.f64 x 6746568685016945/1645504557321206042154969182557350504982735865633579863348609024) (log.f64 2) (*.f64 (-.f64 1/2 y) x)))
(if (<=.f64 x -5968861750620395/73391955711682288371546268649666782105490079653384995959602842860381532034831513858240593699524021969747968) (*.f64 x (neg.f64 y)) (if (<=.f64 x 6746568685016945/1645504557321206042154969182557350504982735865633579863348609024) (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(*.f64 x (neg.f64 y))
(*.f64 1/2 x)
(*.f64 x 1/2)
Compiler

Compiled 105 to 73 computations (30.5% saved)

soundness502.0ms (5.6%)

Algorithm
3×egg-herbie
Rules
627×fma-neg_binary64
581×associate-*l*_binary64
537×distribute-lft-out_binary64
479×fma-def_binary64
479×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
11911
23011
34711
46611
510011
615411
720611
827511
935411
1041611
1144211
1252111
1374911
14168511
15492511
16602711
17766611
034363
186333
2182333
3431321
41389321
53841321
0911
11911
23011
34711
46611
510011
615411
720611
827511
935411
1041611
1144211
1252111
1374911
14168511
15492511
16602711
17766611
Stop Event
1×node limit
1×node limit
1×node limit
Compiler

Compiled 65 to 45 computations (30.8% saved)

end54.0ms (0.6%)

Compiler

Compiled 93 to 52 computations (44.1% saved)

Profiling

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