Details

Time bar (total: 8.4s)

analyze194.0ms (2.3%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
25%25%74.9%0.1%0%0%0%5
31.3%31.2%68.7%0.1%0%0%0%6
45.9%43.7%51.5%0.1%4.7%0%0%7
50.8%48.4%46.8%0.1%4.7%0%0%8
59.7%55.4%37.5%0.1%7%0%0%9
62.6%58.1%34.7%0.1%7%0%0%10
67.4%61.9%29.9%0.1%8.2%0%0%11
69%63.3%28.4%0.1%8.2%0%0%12
Compiler

Compiled 12 to 9 computations (25% saved)

sample4.6s (54.6%)

Results
2.8s2555×body8192exit
1.4s7747×body256valid
147.0ms281×body512valid
141.0ms227×body1024valid
28.0ms158×body256infinite
1.0ms1×body2048valid
Bogosity

preprocess93.0ms (1.1%)

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)

simplify82.0ms (1%)

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
0.8b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.8b
(-.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 1 expressions with local error:

NewErrorProgram
✓0.7b
(log1p.f64 (exp.f64 x))
Compiler

Compiled 19 to 6 computations (68.4% saved)

series56.0ms (0.7%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
32.0ms
x
@inf
(log1p.f64 (exp.f64 x))
23.0ms
x
@-inf
(log1p.f64 (exp.f64 x))
1.0ms
x
@0
(log1p.f64 (exp.f64 x))

rewrite48.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
318×pow1_binary64
312×associate-*l*_binary64
305×add-sqr-sqrt_binary64
300×*-un-lft-identity_binary64
291×add-log-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
1735
28195
Stop Event
1×node limit
Counts
1 → 44
Calls
Call 1
Inputs
(log1p.f64 (exp.f64 x))
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 0 (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) 2)) (log.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log.f64 (+.f64 1 (*.f64 (exp.f64 x) (expm1.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (log.f64 (-.f64 1 (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 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 (cbrt.f64 (log1p.f64 (exp.f64 x))) (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) 1))))) (#(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 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) (*.f64 (cbrt.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 (log1p.f64 (exp.f64 x)) 1/6) (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/6) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/4) (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/4) (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 1/4) (sqrt.f64 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 5))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 5/2)) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2)) (pow.f64 (log1p.f64 (exp.f64 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 5)) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (log1p.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 5)) 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 5/2) 1/3) (pow.f64 (log1p.f64 (exp.f64 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 3) 1) (+.f64 (*.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) (+.f64 1 (log1p.f64 (exp.f64 x)))) (+.f64 1 (*.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (log1p.f64 (exp.f64 x))) (+.f64 1 (log1p.f64 (exp.f64 x)))) 1) (+.f64 (+.f64 1 (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 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)))) (#(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 (E.f64) (log.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 (exp.f64 x)))) 2)) (cbrt.f64 (log.f64 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (log.f64 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (log1p.f64 (exp.f64 x)))))) (#(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 exp.f64 (*.f64 (*.f64 3 (log.f64 (log1p.f64 (exp.f64 x)))) 1/3))))) (#(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))))))

simplify63.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
577×associate-/l/_binary64
561×associate-/r/_binary64
435×associate-*l*_binary64
420×associate-/l*_binary64
409×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02285
15085
210085
323579
465479
5212779
6350179
7396279
8487479
Stop Event
1×node limit
Counts
56 → 53
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)))
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 x (*.f64 x 1/8) (fma.f64 1/2 x (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))

eval16.0ms (0.2%)

Compiler

Compiled 763 to 335 computations (56.1% saved)

prune8.0ms (0.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New50353
Fresh000
Picked011
Done000
Total50454
Error
0.2b
Counts
54 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
▶13.0b
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (log.f64 2))) (*.f64 x y))
▶10.6b
(-.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) (*.f64 x y))
▶5.2b
(-.f64 (log.f64 2) (*.f64 x y))
✓0.8b
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
Compiler

Compiled 47 to 35 computations (25.5% saved)

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)

series12.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
6.0ms
y
@-inf
(-.f64 (log.f64 2) (*.f64 x y))
3.0ms
x
@0
(-.f64 (log.f64 2) (*.f64 x y))
1.0ms
y
@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))

rewrite68.0ms (0.8%)

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))

localize32.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 1/2 x) (log.f64 2))
✓0.0b
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (log.f64 2)))
Compiler

Compiled 57 to 42 computations (26.3% saved)

series2.0ms (0%)

Counts
2 → 9
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (log.f64 2)))
0.0ms
x
@0
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (log.f64 2)))
0.0ms
x
@-inf
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (log.f64 2)))
0.0ms
x
@inf
(+.f64 (*.f64 1/2 x) (log.f64 2))
0.0ms
x
@0
(+.f64 (*.f64 1/2 x) (log.f64 2))

rewrite78.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
532×fma-def_binary64
505×log-prod_binary64
369×pow-prod-down_binary64
291×pow2_binary64
288×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01121
124321
2316121
Stop Event
1×node limit
Counts
2 → 137
Calls
Call 1
Inputs
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (log.f64 2)))
(+.f64 (*.f64 1/2 x) (log.f64 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/8 (*.f64 x x) (fma.f64 x 1/2 (log.f64 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/64) (-.f64 (*.f64 1/8 (*.f64 x x)) (fma.f64 x 1/2 (log.f64 2)))) (/.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2) (-.f64 (*.f64 1/8 (*.f64 x x)) (fma.f64 x 1/2 (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/8 (*.f64 x x) (fma.f64 x 1/2 (log.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/8 (*.f64 x x) (fma.f64 x 1/2 (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/8 (*.f64 x x) (fma.f64 x 1/2 (log.f64 2)))) (pow.f64 (cbrt.f64 (fma.f64 1/8 (*.f64 x x) (fma.f64 x 1/2 (log.f64 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/8 (*.f64 x x) (fma.f64 x 1/2 (log.f64 2)))) 2) (cbrt.f64 (fma.f64 1/8 (*.f64 x x) (fma.f64 x 1/2 (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/8 (*.f64 x x) (fma.f64 x 1/2 (log.f64 2)))) (sqrt.f64 (fma.f64 1/8 (*.f64 x x) (fma.f64 x 1/2 (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 6) 1/512 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3)) (/.f64 1 (fma.f64 (fma.f64 x 1/2 (log.f64 2)) (-.f64 (fma.f64 x 1/2 (log.f64 2)) (*.f64 1/8 (*.f64 x x))) (*.f64 (pow.f64 x 4) 1/64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/64) (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2)) (/.f64 1 (-.f64 (*.f64 1/8 (*.f64 x x)) (fma.f64 x 1/2 (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (fma.f64 x 1/2 (log.f64 2)) (-.f64 (fma.f64 x 1/2 (log.f64 2)) (*.f64 1/8 (*.f64 x x))) (*.f64 (pow.f64 x 4) 1/64)) (fma.f64 (pow.f64 x 6) 1/512 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 1/8 (*.f64 x x)) (fma.f64 x 1/2 (log.f64 2))) (-.f64 (*.f64 (pow.f64 x 4) 1/64) (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 6) 1/512 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3)) (fma.f64 (fma.f64 x 1/2 (log.f64 2)) (-.f64 (fma.f64 x 1/2 (log.f64 2)) (*.f64 1/8 (*.f64 x x))) (*.f64 (pow.f64 x 4) 1/64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 6) 1/512 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3)) (+.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2) (-.f64 (*.f64 (pow.f64 x 4) 1/64) (*.f64 1/8 (*.f64 (*.f64 x x) (fma.f64 x 1/2 (log.f64 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 4) 1/64) (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2)) (-.f64 (*.f64 1/8 (*.f64 x x)) (fma.f64 x 1/2 (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 x 6) 1/512 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3))) (neg.f64 (fma.f64 (fma.f64 x 1/2 (log.f64 2)) (-.f64 (fma.f64 x 1/2 (log.f64 2)) (*.f64 1/8 (*.f64 x x))) (*.f64 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1/2) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 2) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x 1/2)) (cbrt.f64 (*.f64 (*.f64 x x) 1/4)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/4)) (cbrt.f64 (*.f64 x 1/2)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) 1/2) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (log.f64 2))))))

simplify168.0ms (2%)

Algorithm
1×egg-herbie
Rules
778×sqr-pow_binary64
555×cube-prod_binary64
546×fabs-mul_binary64
542×associate-*l*_binary64
434×unswap-sqr_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01157
12257
23655
37251
417151
549751
6176651
7301751
8322151
9343451
10365451
11396351
12436351
13487851
14544451
15613251
16696751
17735951
18765151
19792551
20799551
Stop Event
1×node limit
Counts
146 → 144
Calls
Call 1
Inputs
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(log.f64 2)
(*.f64 1/2 x)
(*.f64 1/2 x)
Outputs
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (*.f64 x x))
(*.f64 x (*.f64 x 1/8))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 1/8 (*.f64 x x) (*.f64 1/2 x))
(*.f64 x (+.f64 1/2 (*.f64 x 1/8)))
(*.f64 x (fma.f64 x 1/8 1/2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (*.f64 x x))
(*.f64 x (*.f64 x 1/8))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 1/8 (*.f64 x x) (*.f64 1/2 x))
(*.f64 x (+.f64 1/2 (*.f64 x 1/8)))
(*.f64 x (fma.f64 x 1/8 1/2))
(log.f64 2)
(*.f64 1/2 x)
(*.f64 1/2 x)

localize17.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 30 to 20 computations (33.3% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite76.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
546×fma-def_binary64
528×log-prod_binary64
371×pow-prod-down_binary64
291×pow2_binary64
260×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01013
122513
2315713
Stop Event
1×node limit
Counts
1 → 148
Calls
Call 1
Inputs
(-.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) (*.f64 x y))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 x) (-.f64 (log1p.f64 1) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 x) (*.f64 (-.f64 (log1p.f64 1) (*.f64 x y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 1) (-.f64 (*.f64 1/2 x) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 x (log1p.f64 1)) (*.f64 x (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 x (log1p.f64 1)) (*.f64 (*.f64 x (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 1/2 x (log1p.f64 1)) (*.f64 x y)) (fma.f64 (neg.f64 x) y (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 1/2 x (log1p.f64 1)) (*.f64 x y)) (fma.f64 (*.f64 x (neg.f64 y)) 1 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 1/2 x (log1p.f64 1)) (*.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 (*.f64 x (neg.f64 y)) (fma.f64 1/2 x (log1p.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 1) (*.f64 x y)) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (fma.f64 1/2 x (log1p.f64 1)) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (fma.f64 1/2 x (log1p.f64 1)) (*.f64 x y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (fma.f64 1/2 x (log1p.f64 1)) (*.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (fma.f64 1/2 x (log1p.f64 1)) (*.f64 x y))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (fma.f64 1/2 x (log1p.f64 1)) (*.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (fma.f64 1/2 x (log1p.f64 1)) (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (fma.f64 1/2 x (log1p.f64 1)) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (fma.f64 1/2 x (log1p.f64 1)) (*.f64 x y))) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/2 x (log1p.f64 1)) (*.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/2 x (log1p.f64 1)) (*.f64 x y))) 2) (cbrt.f64 (-.f64 (fma.f64 1/2 x (log1p.f64 1)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (fma.f64 1/2 x (log1p.f64 1)) (*.f64 x y))) (sqrt.f64 (-.f64 (fma.f64 1/2 x (log1p.f64 1)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log1p.f64 1)) 3) (pow.f64 (*.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (fma.f64 1/2 x (log1p.f64 1))) (pow.f64 (fma.f64 1/2 x (log1p.f64 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log1p.f64 1)) 2) (pow.f64 (*.f64 x y) 2)) (/.f64 1 (fma.f64 x y (fma.f64 1/2 x (log1p.f64 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 1/2 x (log1p.f64 1))) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (fma.f64 1/2 x (log1p.f64 1))) (sqrt.f64 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (fma.f64 1/2 x (log1p.f64 1))) (pow.f64 (fma.f64 1/2 x (log1p.f64 1)) 2)) (-.f64 (pow.f64 (fma.f64 1/2 x (log1p.f64 1)) 3) (pow.f64 (*.f64 x y) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x y (fma.f64 1/2 x (log1p.f64 1))) (-.f64 (pow.f64 (fma.f64 1/2 x (log1p.f64 1)) 2) (pow.f64 (*.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log1p.f64 1)) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 (*.f64 x y) (fma.f64 x y (fma.f64 1/2 x (log1p.f64 1))) (pow.f64 (fma.f64 1/2 x (log1p.f64 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log1p.f64 1)) 2) (pow.f64 (*.f64 x y) 2)) (fma.f64 x y (fma.f64 1/2 x (log1p.f64 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log1p.f64 1)) 3) (pow.f64 (*.f64 x y) 3))) (neg.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (fma.f64 1/2 x (log1p.f64 1))) (pow.f64 (fma.f64 1/2 x (log1p.f64 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log1p.f64 1)) 2) (pow.f64 (*.f64 x y) 2))) (neg.f64 (fma.f64 x y (fma.f64 1/2 x (log1p.f64 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (-.f64 (log1p.f64 1) (*.f64 x y)) 3)) (fma.f64 1/4 (*.f64 x x) (-.f64 (pow.f64 (-.f64 (log1p.f64 1) (*.f64 x y)) 2) (*.f64 (*.f64 1/2 x) (-.f64 (log1p.f64 1) (*.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/2 x (log1p.f64 1)) 3) (pow.f64 (*.f64 x (neg.f64 y)) 3)) (+.f64 (pow.f64 (fma.f64 1/2 x (log1p.f64 1)) 2) (-.f64 (pow.f64 (*.f64 x (neg.f64 y)) 2) (*.f64 (fma.f64 1/2 x (log1p.f64 1)) (*.f64 x (neg.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (pow.f64 (-.f64 (log1p.f64 1) (*.f64 x y)) 2)) (-.f64 (*.f64 1/2 x) (-.f64 (log1p.f64 1) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log1p.f64 1)) 2) (pow.f64 (*.f64 x (neg.f64 y)) 2)) (-.f64 (fma.f64 1/2 x (log1p.f64 1)) (*.f64 x (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (fma.f64 1/2 x (log1p.f64 1)) (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (fma.f64 1/2 x (log1p.f64 1)) (*.f64 x y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (fma.f64 1/2 x (log1p.f64 1)) (*.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/2 x (log1p.f64 1)) (*.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (fma.f64 1/2 x (log1p.f64 1)) (*.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (fma.f64 1/2 x (log1p.f64 1))) (pow.f64 (fma.f64 1/2 x (log1p.f64 1)) 2)) (-.f64 (pow.f64 (fma.f64 1/2 x (log1p.f64 1)) 3) (pow.f64 (*.f64 x y) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x y (fma.f64 1/2 x (log1p.f64 1))) (-.f64 (pow.f64 (fma.f64 1/2 x (log1p.f64 1)) 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 (log1p.f64 1)) (*.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (fma.f64 1/2 x (log1p.f64 1)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 1/2 x (log1p.f64 1)) (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x (log1p.f64 1)))) (pow.f64 (exp.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (*.f64 2 (sqrt.f64 (exp.f64 x))) (+.f64 1 (expm1.f64 (*.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x (log1p.f64 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(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 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (*.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (*.f64 x y))) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 x y) 2))) (cbrt.f64 (*.f64 x y)) (fma.f64 1/2 x (log1p.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) 1) y (fma.f64 1/2 x (log1p.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (fma.f64 1/2 x (log1p.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 1/2 x (log1p.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (-.f64 (log1p.f64 1) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (*.f64 (-.f64 (log1p.f64 1) (*.f64 x y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (-.f64 (log1p.f64 1) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (-.f64 (log1p.f64 1) (*.f64 x y)) 1))))))

simplify42.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
265×fma-neg_binary64
260×fma-def_binary64
90×cancel-sign-sub-inv_binary64
41×sub-neg_binary64
40×associate--r+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020216
140216
265216
3112216
4163216
5259216
6461216
7676216
8889216
91111216
101131216
Stop Event
1×saturated
Counts
172 → 159
Calls
Call 1
Inputs
(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 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.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))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(*.f64 (+.f64 1/2 (*.f64 -1 y)) x)
(*.f64 (-.f64 1/2 y) x)
(+.f64 (log.f64 2) (*.f64 (+.f64 1/2 (*.f64 -1 y)) x))
(fma.f64 (-.f64 1/2 y) x (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))
(+.f64 (log.f64 2) (*.f64 (+.f64 1/2 (*.f64 -1 y)) x))
(fma.f64 (-.f64 1/2 y) 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) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 1/2 y) 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))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(*.f64 -1 (*.f64 y x))
(*.f64 (neg.f64 y) x)
(*.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))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 1/2 y) 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))
(*.f64 -1 (*.f64 y x))
(*.f64 (neg.f64 y) x)
(*.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))
(+.f64 (*.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -1 (*.f64 y x))))
(fma.f64 (-.f64 1/2 y) 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))

eval161.0ms (1.9%)

Compiler

Compiled 7427 to 4633 computations (37.6% saved)

prune86.0ms (1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New3917398
Fresh000
Picked101
Done123
Total3939402
Error
0.2b
Counts
402 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
▶13.0b
(-.f64 (fma.f64 x 1/2 (+.f64 (log.f64 2) (*.f64 1/8 (*.f64 x x)))) (*.f64 x y))
✓5.2b
(-.f64 (log.f64 2) (*.f64 x y))
28.8b
(+.f64 (*.f64 1/2 x) (log.f64 2))
▶47.0b
(-.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x y))
▶44.7b
(*.f64 (-.f64 1/2 y) x)
15.5b
(-.f64 (exp.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))) (*.f64 x y))
✓0.8b
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶28.7b
(log.f64 2)
▶34.7b
(*.f64 y (neg.f64 x))
Compiler

Compiled 149 to 110 computations (26.2% saved)

localize27.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 x 1/2 (+.f64 (log.f64 2) (*.f64 1/8 (*.f64 x x))))
Compiler

Compiled 54 to 31 computations (42.6% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(fma.f64 x 1/2 (+.f64 (log.f64 2) (*.f64 1/8 (*.f64 x x))))
0.0ms
x
@-inf
(fma.f64 x 1/2 (+.f64 (log.f64 2) (*.f64 1/8 (*.f64 x x))))
0.0ms
x
@inf
(fma.f64 x 1/2 (+.f64 (log.f64 2) (*.f64 1/8 (*.f64 x x))))

rewrite60.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
969×prod-diff_binary64
582×unpow-prod-down_binary64
424×log-prod_binary64
276×fma-def_binary64
248×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01016
120814
2253614
Stop Event
1×node limit
Counts
1 → 38
Calls
Call 1
Inputs
(fma.f64 x 1/2 (+.f64 (log.f64 2) (*.f64 1/8 (*.f64 x x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (*.f64 x 1/8) (log1p.f64 1)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/2) (fma.f64 x (*.f64 x 1/8) (log1p.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x 1/2 (fma.f64 x (*.f64 x 1/8) (log1p.f64 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 1/2) 1) (fma.f64 x (*.f64 x 1/8) (log1p.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 1/2 (log1p.f64 1)) (*.f64 x (*.f64 x 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 1/2 (*.f64 x (*.f64 x 1/8))) (log1p.f64 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x 1/2 (fma.f64 x (*.f64 x 1/8) (log1p.f64 1))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x 1/2 (fma.f64 x (*.f64 x 1/8) (log1p.f64 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 1/2 (fma.f64 x (*.f64 x 1/8) (log1p.f64 1)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 1/2 (fma.f64 x (*.f64 x 1/8) (log1p.f64 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/2 (fma.f64 x (*.f64 x 1/8) (log1p.f64 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 1/2 (fma.f64 x (*.f64 x 1/8) (log1p.f64 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 1/2 (fma.f64 x (*.f64 x 1/8) (log1p.f64 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 1/2 (fma.f64 x (*.f64 x 1/8) (log1p.f64 1)))) (cbrt.f64 (pow.f64 (fma.f64 x 1/2 (fma.f64 x (*.f64 x 1/8) (log1p.f64 1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1/2 (fma.f64 x (*.f64 x 1/8) (log1p.f64 1))) 2)) (cbrt.f64 (fma.f64 x 1/2 (fma.f64 x (*.f64 x 1/8) (log1p.f64 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 1/2 (fma.f64 x (*.f64 x 1/8) (log1p.f64 1)))) (sqrt.f64 (fma.f64 x 1/2 (fma.f64 x (*.f64 x 1/8) (log1p.f64 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (fma.f64 x 1/2 (fma.f64 x (*.f64 x 1/8) (log1p.f64 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x 1/2 (fma.f64 x (*.f64 x 1/8) (log1p.f64 1))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x 1/2 (fma.f64 x (*.f64 x 1/8) (log1p.f64 1))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 x 1/2 (fma.f64 x (*.f64 x 1/8) (log1p.f64 1))) 2) (cbrt.f64 (pow.f64 (fma.f64 x 1/2 (fma.f64 x (*.f64 x 1/8) (log1p.f64 1))) 2))) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 x 1/2 (fma.f64 x (*.f64 x 1/8) (log1p.f64 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 x 1/2 (fma.f64 x (*.f64 x 1/8) (log1p.f64 1))) 2) (sqrt.f64 (fma.f64 x 1/2 (fma.f64 x (*.f64 x 1/8) (log1p.f64 1))))) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 x 1/2 (fma.f64 x (*.f64 x 1/8) (log1p.f64 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 1/2 (fma.f64 x (*.f64 x 1/8) (log1p.f64 1))))) 2) 3) (cbrt.f64 (fma.f64 x 1/2 (fma.f64 x (*.f64 x 1/8) (log1p.f64 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x 1/2 (fma.f64 x (*.f64 x 1/8) (log1p.f64 1))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x 1/2 (fma.f64 x (*.f64 x 1/8) (log1p.f64 1))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/8 (pow.f64 x 3)) (pow.f64 (fma.f64 x (*.f64 x 1/8) (log1p.f64 1)) 3)) (+.f64 (pow.f64 (*.f64 x 1/2) 2) (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/8) (log1p.f64 1)) 2) (*.f64 (*.f64 x 1/2) (fma.f64 x (*.f64 x 1/8) (log1p.f64 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x 1/2) 2) (pow.f64 (fma.f64 x (*.f64 x 1/8) (log1p.f64 1)) 2)) (-.f64 (*.f64 x 1/2) (fma.f64 x (*.f64 x 1/8) (log1p.f64 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 1/2 (fma.f64 x (*.f64 x 1/8) (log1p.f64 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 1/2 (fma.f64 x (*.f64 x 1/8) (log1p.f64 1))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 1/2 (fma.f64 x (*.f64 x 1/8) (log1p.f64 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 1/2 (fma.f64 x (*.f64 x 1/8) (log1p.f64 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 1/2 (fma.f64 x (*.f64 x 1/8) (log1p.f64 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 1/2 (fma.f64 x (*.f64 x 1/8) (log1p.f64 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 1/2 (fma.f64 x (*.f64 x 1/8) (log1p.f64 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/2 (fma.f64 x (*.f64 x 1/8) (log1p.f64 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 x (*.f64 x 1/8) (log1p.f64 1))) (exp.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x 1/8) (log1p.f64 1)))) (exp.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 x 1/2)) (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x 1/8) (log1p.f64 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 1/2 (fma.f64 x (*.f64 x 1/8) (log1p.f64 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 1/2 (fma.f64 x (*.f64 x 1/8) (log1p.f64 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 1/2 (fma.f64 x (*.f64 x 1/8) (log1p.f64 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 1/2 (fma.f64 x (*.f64 x 1/8) (log1p.f64 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x 1/2 (fma.f64 x (*.f64 x 1/8) (log1p.f64 1)))) 1))))))

simplify147.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
778×sqr-pow_binary64
541×associate-*l*_binary64
540×cube-prod_binary64
536×fabs-mul_binary64
515×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
012130
126130
247128
396106
4210106
5539106
61814106
73147106
83353106
93566106
103786106
114102106
124502106
135013106
145582106
156272106
167109106
177503106
187795106
Stop Event
1×node limit
Counts
50 → 47
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) (log.f64 2)))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.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) (log.f64 2)))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(+.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) (log.f64 2)))
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) (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 1/8 (pow.f64 x 2))
(*.f64 1/8 (*.f64 x x))
(*.f64 x (*.f64 x 1/8))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 1/8 (*.f64 x x) (*.f64 1/2 x))
(fma.f64 1/2 x (*.f64 x (*.f64 x 1/8)))
(*.f64 x (+.f64 (*.f64 x 1/8) 1/2))
(*.f64 x (fma.f64 x 1/8 1/2))
(+.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) (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 1/8 (pow.f64 x 2))
(*.f64 1/8 (*.f64 x x))
(*.f64 x (*.f64 x 1/8))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))
(fma.f64 1/8 (*.f64 x x) (*.f64 1/2 x))
(fma.f64 1/2 x (*.f64 x (*.f64 x 1/8)))
(*.f64 x (+.f64 (*.f64 x 1/8) 1/2))
(*.f64 x (fma.f64 x 1/8 1/2))
(+.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) (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))

localize4.0ms (0.1%)

Compiler

Compiled 10 to 4 computations (60% saved)

localize6.0ms (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)

series3.0ms (0%)

Counts
1 → 12
Calls

6 calls:

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

rewrite57.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
691×pow1_binary64
643×add-log-exp_binary64
643×log1p-expm1-u_binary64
643×expm1-log1p-u_binary64
632×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11317
216627
Stop Event
1×node limit
Counts
1 → 19
Calls
Call 1
Inputs
(*.f64 (-.f64 1/2 y) x)
Outputs
((#(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 (+.f64 1 (*.f64 (-.f64 1/2 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/8 (pow.f64 y 3)) x) (+.f64 1/4 (*.f64 y (+.f64 1/2 y))))))) (#(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))) (+.f64 1/4 (*.f64 y (+.f64 1/2 y))))))) (#(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) 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 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 cbrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1/2 y) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 1/2 y) 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)))))))

simplify25.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
197×fma-def_binary64
107×fma-neg_binary64
35×cancel-sign-sub-inv_binary64
21×sub-neg_binary64
20×distribute-rgt-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
09106
11797
23979
35779
48179
513079
622379
731979
846279
964979
1066379
Stop Event
1×saturated
Counts
31 → 24
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)))
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 (neg.f64 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 (neg.f64 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 (neg.f64 y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x 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 (neg.f64 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 (neg.f64 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 (neg.f64 y)))
(*.f64 x (-.f64 1/2 y))
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x 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 (neg.f64 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 (neg.f64 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 (neg.f64 y)))
(*.f64 x (-.f64 1/2 y))

localize10.0ms (0.1%)

Compiler

Compiled 25 to 13 computations (48% saved)

localize4.0ms (0%)

Compiler

Compiled 5 to 5 computations (0% saved)

eval29.0ms (0.3%)

Compiler

Compiled 1149 to 776 computations (32.5% saved)

prune19.0ms (0.2%)

Pruning

12 alts after pruning (5 fresh and 7 done)

PrunedKeptTotal
New68371
Fresh022
Picked011
Done066
Total681280
Error
0.2b
Counts
80 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
✓13.0b
(-.f64 (fma.f64 x 1/2 (+.f64 (log.f64 2) (*.f64 1/8 (*.f64 x x)))) (*.f64 x y))
✓5.2b
(-.f64 (log.f64 2) (*.f64 x y))
▶28.8b
(+.f64 (*.f64 1/2 x) (log.f64 2))
✓47.0b
(-.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x y))
▶62.0b
(*.f64 1/2 x)
✓44.7b
(*.f64 (-.f64 1/2 y) x)
▶15.5b
(-.f64 (exp.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))) (*.f64 x y))
✓0.8b
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶44.8b
(-.f64 (+.f64 1 (*.f64 (-.f64 1/2 y) x)) 1)
✓34.7b
(*.f64 y (neg.f64 x))
✓28.7b
(log.f64 2)
▶58.2b
(/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y))
Compiler

Compiled 162 to 122 computations (24.7% saved)

localize28.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 x 1/2 (log.f64 2))
✓0.0b
(log.f64 (fma.f64 x 1/2 (log.f64 2)))
✓0.0b
(exp.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))
Compiler

Compiled 40 to 29 computations (27.5% saved)

series4.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite61.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
562×pow1_binary64
519×add-log-exp_binary64
519×log1p-expm1-u_binary64
519×expm1-log1p-u_binary64
509×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0823
114323
2143223
Stop Event
1×node limit
Counts
3 → 68
Calls
Call 1
Inputs
(exp.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))
(log.f64 (fma.f64 x 1/2 (log.f64 2)))
(fma.f64 x 1/2 (log.f64 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 1) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (fma.f64 x 1/2 (log1p.f64 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/2) (log1p.f64 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 1/2) 1) (log1p.f64 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x 1/2 (log1p.f64 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 1/2 (log1p.f64 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 1/2 (log1p.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) 2) (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) (sqrt.f64 (fma.f64 x 1/2 (log1p.f64 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (log1p.f64 1) 3)) (+.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (-.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x 1/2) (log1p.f64 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (pow.f64 (log1p.f64 1) 2)) (-.f64 (*.f64 x 1/2) (log1p.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 1/2 (log1p.f64 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 1/2 (log1p.f64 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log1p.f64 1)))) 2)) (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log1p.f64 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 x 1/2 (log1p.f64 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 1/2 (log1p.f64 1))))) (sqrt.f64 (log.f64 (fma.f64 x 1/2 (log1p.f64 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 1/2 (log1p.f64 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 1/2 (log1p.f64 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 1/2 (log1p.f64 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 1/2 (log1p.f64 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 1/2 (log1p.f64 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (log1p.f64 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) 2)) (log.f64 (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (fma.f64 x 1/2 (log1p.f64 1)))) (log.f64 (sqrt.f64 (fma.f64 x 1/2 (log1p.f64 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (fma.f64 x 1/2 (log1p.f64 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (fma.f64 x 1/2 (log1p.f64 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (fma.f64 x 1/2 (log1p.f64 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (fma.f64 x 1/2 (log1p.f64 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log1p.f64 1)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log1p.f64 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log1p.f64 1)))) 2) (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log1p.f64 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (fma.f64 x 1/2 (log1p.f64 1)))) (sqrt.f64 (log.f64 (fma.f64 x 1/2 (log1p.f64 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (fma.f64 x 1/2 (log1p.f64 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (fma.f64 x 1/2 (log1p.f64 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log1p.f64 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (fma.f64 x 1/2 (log1p.f64 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (fma.f64 x 1/2 (log1p.f64 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (fma.f64 x 1/2 (log1p.f64 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (fma.f64 x 1/2 (log1p.f64 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (fma.f64 x 1/2 (log1p.f64 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (fma.f64 x 1/2 (log1p.f64 1)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 1) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (fma.f64 x 1/2 (log1p.f64 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/2) (log1p.f64 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 1/2) 1) (log1p.f64 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x 1/2 (log1p.f64 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 1/2 (log1p.f64 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x 1/2 (log1p.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) 2) (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) (sqrt.f64 (fma.f64 x 1/2 (log1p.f64 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (log1p.f64 1) 3)) (+.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (-.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (*.f64 x 1/2) (log1p.f64 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x 1/2) (*.f64 x 1/2)) (pow.f64 (log1p.f64 1) 2)) (-.f64 (*.f64 x 1/2) (log1p.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 1/2 (log1p.f64 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 1/2 (log1p.f64 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 1/2 (log1p.f64 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log1p.f64 1)))) 2)) (cbrt.f64 (log.f64 (fma.f64 x 1/2 (log1p.f64 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 x 1/2 (log1p.f64 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 1/2 (log1p.f64 1))))) (sqrt.f64 (log.f64 (fma.f64 x 1/2 (log1p.f64 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 1/2 (log1p.f64 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 1/2 (log1p.f64 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 1/2 (log1p.f64 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 1/2 (log1p.f64 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 1/2 (log1p.f64 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 1/2 (log1p.f64 1))))))))

simplify45.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
796×associate-/l*_binary64
558×associate-/r*_binary64
455×associate-*l/_binary64
397×associate-/r/_binary64
366×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
063495
1173470
2499453
31811439
Stop Event
1×node limit
Counts
104 → 71
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))
(log.f64 (log.f64 2))
(+.f64 (log.f64 (log.f64 2)) (*.f64 1/2 (/.f64 x (log.f64 2))))
(+.f64 (log.f64 (log.f64 2)) (+.f64 (*.f64 1/2 (/.f64 x (log.f64 2))) (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (log.f64 2) 2)))))
(+.f64 (log.f64 (log.f64 2)) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 2) 3))) (+.f64 (*.f64 1/2 (/.f64 x (log.f64 2))) (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (log.f64 2) 2))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 1/2))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 1/2) (*.f64 2 (/.f64 (log.f64 2) x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 2))) (+.f64 (log.f64 1/2) (*.f64 2 (/.f64 (log.f64 2) x)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 2))) (+.f64 (log.f64 1/2) (+.f64 (*.f64 8/3 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 x 3))) (*.f64 2 (/.f64 (log.f64 2) x))))))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1/2) (*.f64 2 (/.f64 (log.f64 2) x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1/2) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 2))) (*.f64 2 (/.f64 (log.f64 2) x)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1/2) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 2))) (+.f64 (*.f64 8/3 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 x 3))) (*.f64 2 (/.f64 (log.f64 2) x))))))
(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))
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))
(log.f64 (log.f64 2))
(+.f64 (log.f64 (log.f64 2)) (*.f64 1/2 (/.f64 x (log.f64 2))))
(fma.f64 1/2 (/.f64 x (log.f64 2)) (log.f64 (log.f64 2)))
(+.f64 (log.f64 (log.f64 2)) (+.f64 (*.f64 1/2 (/.f64 x (log.f64 2))) (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (log.f64 2) 2)))))
(+.f64 (log.f64 (log.f64 2)) (fma.f64 1/2 (/.f64 x (log.f64 2)) (*.f64 -1/8 (/.f64 (*.f64 x x) (pow.f64 (log.f64 2) 2)))))
(+.f64 (log.f64 (log.f64 2)) (fma.f64 1/2 (/.f64 x (log.f64 2)) (/.f64 (*.f64 -1/8 (*.f64 x x)) (pow.f64 (log.f64 2) 2))))
(fma.f64 1/2 (/.f64 x (log.f64 2)) (fma.f64 -1/8 (*.f64 (/.f64 x (pow.f64 (log.f64 2) 2)) x) (log.f64 (log.f64 2))))
(+.f64 (log.f64 (log.f64 2)) (*.f64 (/.f64 x (log.f64 2)) (+.f64 1/2 (*.f64 (/.f64 x (log.f64 2)) -1/8))))
(+.f64 (log.f64 (log.f64 2)) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 2) 3))) (+.f64 (*.f64 1/2 (/.f64 x (log.f64 2))) (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (log.f64 2) 2))))))
(+.f64 (log.f64 (log.f64 2)) (fma.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) (fma.f64 1/2 (/.f64 x (log.f64 2)) (*.f64 -1/8 (/.f64 (*.f64 x x) (pow.f64 (log.f64 2) 2))))))
(+.f64 (log.f64 (log.f64 2)) (fma.f64 1/24 (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) (fma.f64 1/2 (/.f64 x (log.f64 2)) (/.f64 (*.f64 -1/8 (*.f64 x x)) (pow.f64 (log.f64 2) 2)))))
(fma.f64 1/24 (pow.f64 (/.f64 x (log.f64 2)) 3) (fma.f64 1/2 (/.f64 x (log.f64 2)) (fma.f64 -1/8 (*.f64 (/.f64 x (pow.f64 (log.f64 2) 2)) x) (log.f64 (log.f64 2)))))
(+.f64 (log.f64 (log.f64 2)) (fma.f64 1/24 (pow.f64 (/.f64 x (log.f64 2)) 3) (*.f64 (/.f64 x (log.f64 2)) (+.f64 1/2 (*.f64 (/.f64 x (log.f64 2)) -1/8)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 1/2))
(fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 1/2))
(+.f64 (log.f64 x) (log.f64 1/2))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 1/2) (*.f64 2 (/.f64 (log.f64 2) x))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 1/2) (*.f64 2 (/.f64 (log.f64 2) x))))
(+.f64 (log.f64 x) (fma.f64 2 (/.f64 (log.f64 2) x) (log.f64 1/2)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 2))) (+.f64 (log.f64 1/2) (*.f64 2 (/.f64 (log.f64 2) x)))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (fma.f64 -2 (/.f64 (pow.f64 (log.f64 2) 2) (*.f64 x x)) (+.f64 (log.f64 1/2) (*.f64 2 (/.f64 (log.f64 2) x)))))
(+.f64 (log.f64 x) (fma.f64 -2 (/.f64 (pow.f64 (log.f64 2) 2) (*.f64 x x)) (fma.f64 2 (/.f64 (log.f64 2) x) (log.f64 1/2))))
(+.f64 (log.f64 x) (fma.f64 2 (/.f64 (log.f64 2) x) (fma.f64 -2 (/.f64 (pow.f64 (log.f64 2) 2) (*.f64 x x)) (log.f64 1/2))))
(+.f64 (log.f64 1/2) (+.f64 (log.f64 x) (*.f64 (/.f64 (log.f64 2) x) (+.f64 2 (*.f64 (/.f64 -2 x) (log.f64 2))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 2))) (+.f64 (log.f64 1/2) (+.f64 (*.f64 8/3 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 x 3))) (*.f64 2 (/.f64 (log.f64 2) x))))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (fma.f64 -2 (/.f64 (pow.f64 (log.f64 2) 2) (*.f64 x x)) (+.f64 (log.f64 1/2) (fma.f64 8/3 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 x 3)) (*.f64 2 (/.f64 (log.f64 2) x))))))
(+.f64 (log.f64 x) (+.f64 (log.f64 1/2) (fma.f64 -2 (/.f64 (pow.f64 (log.f64 2) 2) (*.f64 x x)) (fma.f64 8/3 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 x 3)) (*.f64 2 (/.f64 (log.f64 2) x))))))
(+.f64 (fma.f64 2 (/.f64 (log.f64 2) x) (fma.f64 8/3 (pow.f64 (/.f64 (log.f64 2) x) 3) (log.f64 1/2))) (fma.f64 -2 (/.f64 (pow.f64 (log.f64 2) 2) (*.f64 x x)) (log.f64 x)))
(+.f64 (*.f64 (/.f64 (log.f64 2) x) (+.f64 2 (*.f64 (/.f64 -2 x) (log.f64 2)))) (+.f64 (log.f64 1/2) (fma.f64 8/3 (pow.f64 (/.f64 (log.f64 2) x) 3) (log.f64 x))))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -1/2) (neg.f64 (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1/2) (*.f64 2 (/.f64 (log.f64 2) x))))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 2 (/.f64 (log.f64 2) x)) (log.f64 -1/2)))
(-.f64 (fma.f64 2 (/.f64 (log.f64 2) x) (log.f64 -1/2)) (log.f64 (/.f64 -1 x)))
(fma.f64 2 (/.f64 (log.f64 2) x) (-.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1/2) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 2))) (*.f64 2 (/.f64 (log.f64 2) x)))))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (fma.f64 -2 (/.f64 (pow.f64 (log.f64 2) 2) (*.f64 x x)) (*.f64 2 (/.f64 (log.f64 2) x)))))
(+.f64 (fma.f64 -2 (/.f64 (pow.f64 (log.f64 2) 2) (*.f64 x x)) (*.f64 2 (/.f64 (log.f64 2) x))) (-.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))))
(-.f64 (fma.f64 2 (/.f64 (log.f64 2) x) (fma.f64 -2 (/.f64 (pow.f64 (log.f64 2) 2) (*.f64 x x)) (log.f64 -1/2))) (log.f64 (/.f64 -1 x)))
(+.f64 (*.f64 (/.f64 (log.f64 2) x) (+.f64 2 (*.f64 (/.f64 -2 x) (log.f64 2)))) (-.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1/2) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (log.f64 2) 2) (pow.f64 x 2))) (+.f64 (*.f64 8/3 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 x 3))) (*.f64 2 (/.f64 (log.f64 2) x))))))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (fma.f64 -2 (/.f64 (pow.f64 (log.f64 2) 2) (*.f64 x x)) (fma.f64 8/3 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 x 3)) (*.f64 2 (/.f64 (log.f64 2) x))))))
(+.f64 (fma.f64 -2 (/.f64 (pow.f64 (log.f64 2) 2) (*.f64 x x)) (fma.f64 8/3 (/.f64 (pow.f64 (log.f64 2) 3) (pow.f64 x 3)) (*.f64 2 (/.f64 (log.f64 2) x)))) (-.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))))
(+.f64 (fma.f64 8/3 (pow.f64 (/.f64 (log.f64 2) x) 3) (*.f64 2 (/.f64 (log.f64 2) x))) (-.f64 (fma.f64 -2 (/.f64 (pow.f64 (log.f64 2) 2) (*.f64 x x)) (log.f64 -1/2)) (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -1/2) (-.f64 (fma.f64 8/3 (pow.f64 (/.f64 (log.f64 2) x) 3) (*.f64 (/.f64 (log.f64 2) x) (+.f64 2 (*.f64 (/.f64 -2 x) (log.f64 2))))) (log.f64 (/.f64 -1 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 (*.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))

localize3.0ms (0%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 1 (*.f64 (-.f64 1/2 y) x))
0.0b
(*.f64 (-.f64 1/2 y) x)
✓5.1b
(-.f64 (+.f64 1 (*.f64 (-.f64 1/2 y) x)) 1)
Compiler

Compiled 30 to 21 computations (30% saved)

series4.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite80.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
611×unpow-prod-down_binary64
525×prod-diff_binary64
447×fma-def_binary64
397×log-prod_binary64
240×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0923
120615
2286615
Stop Event
1×node limit
Counts
2 → 181
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 (-.f64 1/2 y) x)) 1)
(+.f64 1 (*.f64 (-.f64 1/2 y) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 (-.f64 1/2 y) x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 (-.f64 1/2 y) x -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1/2 y) x) 0)))) (#(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 -1 (fma.f64 (-.f64 1/2 y) x 1))))) (#(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 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 1 (*.f64 (-.f64 1/2 y) x))))) (#(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 (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 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) (pow.f64 (*.f64 (cbrt.f64 (-.f64 1/2 y)) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (*.f64 (cbrt.f64 x) (-.f64 1/2 y)) 1))))) (#(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))))) 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(pow.f64 1 1/3) (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x 1)) 1) 1) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (-.f64 1/2 y) x 1)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (-.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)) 1) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (-.f64 1/2 y) (sqrt.f64 x)) 1) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) 1) (cbrt.f64 (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) 1) (sqrt.f64 (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) 2) 3) (cbrt.f64 (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (-.f64 1/2 y)) 1/3) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) x) 1/3) (cbrt.f64 (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 (-.f64 1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 (-.f64 1/2 y) x) 2) (sqrt.f64 (*.f64 (-.f64 1/2 y) x))) 1/3) (cbrt.f64 (sqrt.f64 (*.f64 (-.f64 1/2 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) (fma.f64 (-.f64 1/2 y) x 2)) (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (-.f64 1/2 y) x 2) (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) -1)))))) (#(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) (fma.f64 (-.f64 1/2 y) x 2)))))) (#(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) (fma.f64 (-.f64 1/2 y) x 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) (fma.f64 (-.f64 1/2 y) x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) -1)) (neg.f64 (fma.f64 (-.f64 1/2 y) x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 (-.f64 1/2 y) x -1) 3)) (+.f64 1 (-.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x -1) 2) (fma.f64 (-.f64 1/2 y) x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (fma.f64 (-.f64 1/2 y) x -1) 2)) (-.f64 1 (fma.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 pow.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) (fma.f64 (-.f64 1/2 y) x 2)) (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 3) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (-.f64 1/2 y) x 2) (+.f64 (pow.f64 (fma.f64 (-.f64 1/2 y) x 1) 2) -1)) -1)))) (#(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))))))) 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simplify51.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
263×fma-def_binary64
237×fma-neg_binary64
67×cancel-sign-sub-inv_binary64
40×sub-neg_binary64
34×associate--r+_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017498
140339
269339
3109339
4160339
5250339
6419339
7592339
8805339
91036339
101073339
111074339
Stop Event
1×saturated
Counts
229 → 191
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) 1)
(+.f64 1 (+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))))
(+.f64 1 (+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))))
(+.f64 1 (+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))))
(*.f64 -1 (*.f64 y x))
(+.f64 1 (+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))))
(+.f64 1 (+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))))
(+.f64 1 (+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 -1 (*.f64 y x))))
(+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 -1 (*.f64 y x))))
1
(+.f64 (*.f64 (-.f64 1/2 y) x) 1)
(+.f64 (*.f64 (-.f64 1/2 y) x) 1)
(+.f64 (*.f64 (-.f64 1/2 y) x) 1)
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 (-.f64 1/2 y) x) 1)
(+.f64 (*.f64 (-.f64 1/2 y) x) 1)
(+.f64 (*.f64 (-.f64 1/2 y) x) 1)
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 (-.f64 1/2 y) x) 1)
(+.f64 (*.f64 (-.f64 1/2 y) x) 1)
(+.f64 (*.f64 (-.f64 1/2 y) x) 1)
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 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 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) 1)
(fma.f64 1/2 x 1)
(+.f64 1 (+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x 1) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) 1)
(+.f64 1 (+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x 1) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) 1)
(+.f64 1 (+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x 1) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) 1)
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(+.f64 1 (+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x 1) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) 1)
(+.f64 1 (+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x 1) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) 1)
(+.f64 1 (+.f64 (*.f64 1/2 x) (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x 1) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) 1)
(*.f64 -1 (*.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x 1) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) 1)
(+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x 1) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) 1)
(+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 -1 (*.f64 y x))))
(+.f64 (fma.f64 1/2 x 1) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) 1)
1
(+.f64 (*.f64 (-.f64 1/2 y) x) 1)
(+.f64 (fma.f64 1/2 x 1) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) 1)
(+.f64 (*.f64 (-.f64 1/2 y) x) 1)
(+.f64 (fma.f64 1/2 x 1) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) 1)
(+.f64 (*.f64 (-.f64 1/2 y) x) 1)
(+.f64 (fma.f64 1/2 x 1) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) 1)
(*.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) 1)
(+.f64 (fma.f64 1/2 x 1) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) 1)
(+.f64 (*.f64 (-.f64 1/2 y) x) 1)
(+.f64 (fma.f64 1/2 x 1) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) 1)
(+.f64 (*.f64 (-.f64 1/2 y) x) 1)
(+.f64 (fma.f64 1/2 x 1) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) 1)
(*.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) 1)
(+.f64 (fma.f64 1/2 x 1) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) 1)
(+.f64 (*.f64 (-.f64 1/2 y) x) 1)
(+.f64 (fma.f64 1/2 x 1) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) 1)
(+.f64 (*.f64 (-.f64 1/2 y) x) 1)
(+.f64 (fma.f64 1/2 x 1) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) 1)

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓5.7b
(*.f64 (-.f64 1/4 (*.f64 y y)) x)
✓10.5b
(/.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))

rewrite71.0ms (0.8%)

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))))))))

simplify79.0ms (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)))

localize10.0ms (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)

eval167.0ms (2%)

Compiler

Compiled 6388 to 4715 computations (26.2% saved)

prune87.0ms (1%)

Pruning

20 alts after pruning (10 fresh and 10 done)

PrunedKeptTotal
New42810438
Fresh000
Picked011
Done2911
Total43020450
Error
0.2b
Counts
450 → 20
Alt Table
Click to see full alt table
StatusErrorProgram
✓13.0b
(-.f64 (fma.f64 x 1/2 (+.f64 (log.f64 2) (*.f64 1/8 (*.f64 x x)))) (*.f64 x y))
✓5.2b
(-.f64 (log.f64 2) (*.f64 x y))
✓28.8b
(+.f64 (*.f64 1/2 x) (log.f64 2))
✓47.0b
(-.f64 (*.f64 x (*.f64 x 1/8)) (*.f64 x y))
✓62.0b
(*.f64 1/2 x)
✓44.7b
(*.f64 (-.f64 1/2 y) x)
56.9b
(*.f64 (-.f64 1/4 (*.f64 y y)) (/.f64 1 (/.f64 (+.f64 y 1/2) x)))
62.1b
(-.f64 1 1)
58.2b
(*.f64 (/.f64 1 (+.f64 y 1/2)) (*.f64 (-.f64 1/4 (*.f64 y y)) x))
62.1b
(-.f64 (+.f64 (*.f64 1/2 x) 1) 1)
63.2b
(-.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 1/2) (*.f64 2 (/.f64 (log.f64 2) x))))) (*.f64 x y))
55.5b
(/.f64 (*.f64 y (*.f64 y (neg.f64 x))) (+.f64 1/2 y))
38.7b
(-.f64 (+.f64 1 (*.f64 y (neg.f64 x))) 1)
✓0.8b
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
62.2b
(/.f64 (*.f64 x 1/4) (+.f64 1/2 y))
✓28.7b
(log.f64 2)
29.2b
(exp.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))
56.9b
(*.f64 (-.f64 1/4 (*.f64 y y)) (*.f64 x (/.f64 1 (+.f64 y 1/2))))
✓58.2b
(/.f64 (*.f64 (-.f64 1/4 (*.f64 y y)) x) (+.f64 1/2 y))
✓34.7b
(*.f64 y (neg.f64 x))
Compiler

Compiled 210 to 160 computations (23.8% saved)

regimes73.0ms (0.9%)

Counts
25 → 1
Calls
Call 1
Inputs
(-.f64 1 1)
(*.f64 1/2 x)
(*.f64 y (neg.f64 x))
(*.f64 (-.f64 1/2 y) x)
(-.f64 (+.f64 (*.f64 1/2 x) 1) 1)
(/.f64 (*.f64 x 1/4) (+.f64 1/2 y))
(-.f64 (+.f64 1 (*.f64 y (neg.f64 x))) 1)
(-.f64 (+.f64 1 (*.f64 (-.f64 1/2 y) x)) 1)
(-.f64 (*.f64 x (*.f64 x 1/8)) (*.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 1 (/.f64 (+.f64 y 1/2) x)))
(*.f64 (/.f64 1 (+.f64 y 1/2)) (*.f64 (-.f64 1/4 (*.f64 y y)) x))
(*.f64 (-.f64 1/4 (*.f64 y y)) (*.f64 x (/.f64 1 (+.f64 y 1/2))))
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(-.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (fma.f64 x 1/2 (+.f64 (log.f64 2) (*.f64 1/8 (*.f64 x x)))) (*.f64 x y))
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/2 x) (log.f64 2))) (*.f64 x y))
(exp.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))
(-.f64 (exp.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2)))) (*.f64 x y))
(-.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 1/2) (*.f64 2 (/.f64 (log.f64 2) x))))) (*.f64 x y))
Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
Calls

4 calls:

20.0ms
y
19.0ms
x
17.0ms
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
8.0ms
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Results
ErrorSegmentsBranch
0.8b1x
0.8b1y
0.8b1(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
0.8b1(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
Compiler

Compiled 255 to 166 computations (34.9% saved)

regimes61.0ms (0.7%)

Counts
18 → 2
Calls
Call 1
Inputs
(-.f64 1 1)
(*.f64 1/2 x)
(*.f64 y (neg.f64 x))
(*.f64 (-.f64 1/2 y) x)
(-.f64 (+.f64 (*.f64 1/2 x) 1) 1)
(/.f64 (*.f64 x 1/4) (+.f64 1/2 y))
(-.f64 (+.f64 1 (*.f64 y (neg.f64 x))) 1)
(-.f64 (+.f64 1 (*.f64 (-.f64 1/2 y) x)) 1)
(-.f64 (*.f64 x (*.f64 x 1/8)) (*.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 1 (/.f64 (+.f64 y 1/2) x)))
(*.f64 (/.f64 1 (+.f64 y 1/2)) (*.f64 (-.f64 1/4 (*.f64 y y)) x))
(*.f64 (-.f64 1/4 (*.f64 y y)) (*.f64 x (/.f64 1 (+.f64 y 1/2))))
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
(-.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) (*.f64 x y))
Outputs
(*.f64 y (neg.f64 x))
(-.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) (*.f64 x y))
Calls

2 calls:

29.0ms
x
26.0ms
y
Results
ErrorSegmentsBranch
0.5b2x
5.2b1y
Compiler

Compiled 147 to 94 computations (36.1% saved)

bsearch64.0ms (0.8%)

Algorithm
1×binary-search
Steps
TimeLeftRight
64.0ms
-25.56524643761887
-0.16081651807912556
Compiler

Compiled 16 to 12 computations (25% saved)

regimes62.0ms (0.7%)

Counts
17 → 2
Calls
Call 1
Inputs
(-.f64 1 1)
(*.f64 1/2 x)
(*.f64 y (neg.f64 x))
(*.f64 (-.f64 1/2 y) x)
(-.f64 (+.f64 (*.f64 1/2 x) 1) 1)
(/.f64 (*.f64 x 1/4) (+.f64 1/2 y))
(-.f64 (+.f64 1 (*.f64 y (neg.f64 x))) 1)
(-.f64 (+.f64 1 (*.f64 (-.f64 1/2 y) x)) 1)
(-.f64 (*.f64 x (*.f64 x 1/8)) (*.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 1 (/.f64 (+.f64 y 1/2) x)))
(*.f64 (/.f64 1 (+.f64 y 1/2)) (*.f64 (-.f64 1/4 (*.f64 y y)) x))
(*.f64 (-.f64 1/4 (*.f64 y y)) (*.f64 x (/.f64 1 (+.f64 y 1/2))))
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))
Outputs
(*.f64 y (neg.f64 x))
(-.f64 (log.f64 2) (*.f64 x y))
Calls

2 calls:

31.0ms
x
22.0ms
y
Results
ErrorSegmentsBranch
0.6b2x
5.2b1y
Compiler

Compiled 137 to 88 computations (35.8% saved)

bsearch82.0ms (1%)

Algorithm
1×binary-search
Steps
TimeLeftRight
82.0ms
-6916998.711045201
-41486.21107048877
Compiler

Compiled 16 to 12 computations (25% saved)

regimes102.0ms (1.2%)

Counts
16 → 5
Calls
Call 1
Inputs
(-.f64 1 1)
(*.f64 1/2 x)
(*.f64 y (neg.f64 x))
(*.f64 (-.f64 1/2 y) x)
(-.f64 (+.f64 (*.f64 1/2 x) 1) 1)
(/.f64 (*.f64 x 1/4) (+.f64 1/2 y))
(-.f64 (+.f64 1 (*.f64 y (neg.f64 x))) 1)
(-.f64 (+.f64 1 (*.f64 (-.f64 1/2 y) x)) 1)
(-.f64 (*.f64 x (*.f64 x 1/8)) (*.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 1 (/.f64 (+.f64 y 1/2) x)))
(*.f64 (/.f64 1 (+.f64 y 1/2)) (*.f64 (-.f64 1/4 (*.f64 y y)) x))
(*.f64 (-.f64 1/4 (*.f64 y y)) (*.f64 x (/.f64 1 (+.f64 y 1/2))))
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
Outputs
(*.f64 y (neg.f64 x))
(log.f64 2)
(*.f64 (-.f64 1/2 y) x)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(*.f64 (-.f64 1/2 y) x)
Calls

2 calls:

51.0ms
y
46.0ms
x
Results
ErrorSegmentsBranch
10.7b5x
18.9b3y
Compiler

Compiled 131 to 85 computations (35.1% saved)

bsearch117.0ms (1.4%)

Algorithm
4×binary-search
Steps
TimeLeftRight
23.0ms
2.8230465231937058e-8
3.670181772337891e-6
40.0ms
7.049349718768236e-108
6.518947158173446e-107
23.0ms
4.0216602613689807e-140
1.7333020785757767e-137
30.0ms
-1.527106723236612e-57
-5.043753755752793e-64
Compiler

Compiled 16 to 12 computations (25% saved)

regimes79.0ms (0.9%)

Counts
15 → 5
Calls
Call 1
Inputs
(-.f64 1 1)
(*.f64 1/2 x)
(*.f64 y (neg.f64 x))
(*.f64 (-.f64 1/2 y) x)
(-.f64 (+.f64 (*.f64 1/2 x) 1) 1)
(/.f64 (*.f64 x 1/4) (+.f64 1/2 y))
(-.f64 (+.f64 1 (*.f64 y (neg.f64 x))) 1)
(-.f64 (+.f64 1 (*.f64 (-.f64 1/2 y) x)) 1)
(-.f64 (*.f64 x (*.f64 x 1/8)) (*.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 1 (/.f64 (+.f64 y 1/2) x)))
(*.f64 (/.f64 1 (+.f64 y 1/2)) (*.f64 (-.f64 1/4 (*.f64 y y)) x))
(*.f64 (-.f64 1/4 (*.f64 y y)) (*.f64 x (/.f64 1 (+.f64 y 1/2))))
(log.f64 2)
Outputs
(*.f64 y (neg.f64 x))
(log.f64 2)
(*.f64 (-.f64 1/2 y) x)
(log.f64 2)
(*.f64 (-.f64 1/2 y) x)
Calls

2 calls:

40.0ms
x
33.0ms
y
Results
ErrorSegmentsBranch
10.8b5x
18.9b3y
Compiler

Compiled 125 to 80 computations (36% saved)

bsearch112.0ms (1.3%)

Algorithm
4×binary-search
Steps
TimeLeftRight
23.0ms
2.8230465231937058e-8
3.670181772337891e-6
24.0ms
7.049349718768236e-108
6.518947158173446e-107
33.0ms
4.0216602613689807e-140
1.7333020785757767e-137
31.0ms
-1.527106723236612e-57
-5.043753755752793e-64
Compiler

Compiled 16 to 12 computations (25% saved)

regimes24.0ms (0.3%)

Counts
14 → 1
Calls
Call 1
Inputs
(-.f64 1 1)
(*.f64 1/2 x)
(*.f64 y (neg.f64 x))
(*.f64 (-.f64 1/2 y) x)
(-.f64 (+.f64 (*.f64 1/2 x) 1) 1)
(/.f64 (*.f64 x 1/4) (+.f64 1/2 y))
(-.f64 (+.f64 1 (*.f64 y (neg.f64 x))) 1)
(-.f64 (+.f64 1 (*.f64 (-.f64 1/2 y) x)) 1)
(-.f64 (*.f64 x (*.f64 x 1/8)) (*.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 1 (/.f64 (+.f64 y 1/2) x)))
(*.f64 (/.f64 1 (+.f64 y 1/2)) (*.f64 (-.f64 1/4 (*.f64 y y)) x))
(*.f64 (-.f64 1/4 (*.f64 y y)) (*.f64 x (/.f64 1 (+.f64 y 1/2))))
Outputs
(*.f64 y (neg.f64 x))
Calls

2 calls:

10.0ms
x
9.0ms
y
Results
ErrorSegmentsBranch
34.7b1x
34.7b1y
Compiler

Compiled 123 to 78 computations (36.6% saved)

regimes7.0ms (0.1%)

Accuracy

Total -0.5b remaining (-0.9%)

Threshold costs -0.5b (-0.9%)

Counts
2 → 1
Calls
Call 1
Inputs
(-.f64 1 1)
(*.f64 1/2 x)
Outputs
(*.f64 1/2 x)
Calls

2 calls:

3.0ms
y
3.0ms
x
Results
ErrorSegmentsBranch
62.0b1x
62.0b1y
Compiler

Compiled 14 to 11 computations (21.4% saved)

simplify12.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
8×+-commutative_binary64
7×*-commutative_binary64
7×sub-neg_binary64
6×cancel-sign-sub-inv_binary64
3×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044176
166176
281176
386176
488176
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -7195977145630953/281474976710656) (*.f64 y (neg.f64 x)) (-.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) (*.f64 x y)))
(if (<=.f64 x -7427070812603323/1073741824) (*.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (*.f64 x y)))
(if (<=.f64 x -5396328063107889/3533694129556768659166595001485837031654967793751237916243212402585239552) (*.f64 y (neg.f64 x)) (if (<=.f64 x 4313731867513443/107262463439540776796592199985646769019834926564739147021788491549774112240588375814414994385335227421520254865491888406830031062495572559571469192048672768) (log.f64 2) (if (<=.f64 x 4660014707681603/661055968790248598951915308032771039828404682964281219284648795274405791236311345825189210439715284847591212025023358304256) (*.f64 (-.f64 1/2 y) x) (if (<=.f64 x 4266067289827725/151115727451828646838272) (+.f64 (*.f64 1/2 x) (log.f64 2)) (*.f64 (-.f64 1/2 y) x)))))
(if (<=.f64 x -5396328063107889/3533694129556768659166595001485837031654967793751237916243212402585239552) (*.f64 y (neg.f64 x)) (if (<=.f64 x 4313731867513443/107262463439540776796592199985646769019834926564739147021788491549774112240588375814414994385335227421520254865491888406830031062495572559571469192048672768) (log.f64 2) (if (<=.f64 x 4660014707681603/661055968790248598951915308032771039828404682964281219284648795274405791236311345825189210439715284847591212025023358304256) (*.f64 (-.f64 1/2 y) x) (if (<=.f64 x 4266067289827725/151115727451828646838272) (log.f64 2) (*.f64 (-.f64 1/2 y) x)))))
(*.f64 y (neg.f64 x))
(*.f64 1/2 x)
(-.f64 1 1)
Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -7195977145630953/281474976710656) (*.f64 y (neg.f64 x)) (-.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) (*.f64 x y)))
(if (<=.f64 x -7195977145630953/281474976710656) (*.f64 y (neg.f64 x)) (-.f64 (+.f64 (*.f64 x 1/2) (log.f64 2)) (*.f64 x y)))
(if (<=.f64 x -7195977145630953/281474976710656) (*.f64 x (neg.f64 y)) (-.f64 (+.f64 (*.f64 x 1/2) (log.f64 2)) (*.f64 x y)))
(if (<=.f64 x -7427070812603323/1073741824) (*.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (*.f64 x y)))
(if (<=.f64 x -7427070812603323/1073741824) (*.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (*.f64 x y)))
(if (<=.f64 x -5396328063107889/3533694129556768659166595001485837031654967793751237916243212402585239552) (*.f64 y (neg.f64 x)) (if (<=.f64 x 4313731867513443/107262463439540776796592199985646769019834926564739147021788491549774112240588375814414994385335227421520254865491888406830031062495572559571469192048672768) (log.f64 2) (if (<=.f64 x 4660014707681603/661055968790248598951915308032771039828404682964281219284648795274405791236311345825189210439715284847591212025023358304256) (*.f64 (-.f64 1/2 y) x) (if (<=.f64 x 4266067289827725/151115727451828646838272) (+.f64 (*.f64 1/2 x) (log.f64 2)) (*.f64 (-.f64 1/2 y) x)))))
(if (<=.f64 x -5396328063107889/3533694129556768659166595001485837031654967793751237916243212402585239552) (*.f64 y (neg.f64 x)) (if (<=.f64 x 4313731867513443/107262463439540776796592199985646769019834926564739147021788491549774112240588375814414994385335227421520254865491888406830031062495572559571469192048672768) (log.f64 2) (if (<=.f64 x 4660014707681603/661055968790248598951915308032771039828404682964281219284648795274405791236311345825189210439715284847591212025023358304256) (*.f64 x (-.f64 1/2 y)) (if (<=.f64 x 4266067289827725/151115727451828646838272) (+.f64 (*.f64 x 1/2) (log.f64 2)) (*.f64 x (-.f64 1/2 y))))))
(if (<=.f64 x -5396328063107889/3533694129556768659166595001485837031654967793751237916243212402585239552) (*.f64 x (neg.f64 y)) (if (<=.f64 x 4313731867513443/107262463439540776796592199985646769019834926564739147021788491549774112240588375814414994385335227421520254865491888406830031062495572559571469192048672768) (log.f64 2) (if (<=.f64 x 4660014707681603/661055968790248598951915308032771039828404682964281219284648795274405791236311345825189210439715284847591212025023358304256) (*.f64 x (-.f64 1/2 y)) (if (<=.f64 x 4266067289827725/151115727451828646838272) (+.f64 (*.f64 x 1/2) (log.f64 2)) (*.f64 x (-.f64 1/2 y))))))
(if (<=.f64 x -5396328063107889/3533694129556768659166595001485837031654967793751237916243212402585239552) (*.f64 y (neg.f64 x)) (if (<=.f64 x 4313731867513443/107262463439540776796592199985646769019834926564739147021788491549774112240588375814414994385335227421520254865491888406830031062495572559571469192048672768) (log.f64 2) (if (<=.f64 x 4660014707681603/661055968790248598951915308032771039828404682964281219284648795274405791236311345825189210439715284847591212025023358304256) (*.f64 (-.f64 1/2 y) x) (if (<=.f64 x 4266067289827725/151115727451828646838272) (log.f64 2) (*.f64 (-.f64 1/2 y) x)))))
(if (<=.f64 x -5396328063107889/3533694129556768659166595001485837031654967793751237916243212402585239552) (*.f64 y (neg.f64 x)) (if (<=.f64 x 4313731867513443/107262463439540776796592199985646769019834926564739147021788491549774112240588375814414994385335227421520254865491888406830031062495572559571469192048672768) (log.f64 2) (if (<=.f64 x 4660014707681603/661055968790248598951915308032771039828404682964281219284648795274405791236311345825189210439715284847591212025023358304256) (*.f64 x (-.f64 1/2 y)) (if (<=.f64 x 4266067289827725/151115727451828646838272) (log.f64 2) (*.f64 x (-.f64 1/2 y))))))
(if (<=.f64 x -5396328063107889/3533694129556768659166595001485837031654967793751237916243212402585239552) (*.f64 x (neg.f64 y)) (if (<=.f64 x 4313731867513443/107262463439540776796592199985646769019834926564739147021788491549774112240588375814414994385335227421520254865491888406830031062495572559571469192048672768) (log.f64 2) (if (<=.f64 x 4660014707681603/661055968790248598951915308032771039828404682964281219284648795274405791236311345825189210439715284847591212025023358304256) (*.f64 x (-.f64 1/2 y)) (if (<=.f64 x 4266067289827725/151115727451828646838272) (log.f64 2) (*.f64 x (-.f64 1/2 y))))))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 1/2 x)
(*.f64 x 1/2)
(-.f64 1 1)
0
Compiler

Compiled 135 to 97 computations (28.1% saved)

soundness475.0ms (5.6%)

Algorithm
3×egg-herbie
Rules
479×fma-def_binary64
479×fma-def_binary64
369×times-frac_binary64
369×times-frac_binary64
368×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
020216
140216
265216
3112216
4163216
5259216
6461216
7676216
8889216
91111216
101131216
0911
11911
23011
34711
46611
510011
615411
720611
827511
935411
1041611
1144211
1252111
1374911
14168511
15492511
16602711
17766611
Stop Event
1×node limit
1×saturated
1×node limit
Compiler

Compiled 59 to 41 computations (30.5% saved)

end77.0ms (0.9%)

Compiler

Compiled 121 to 73 computations (39.7% saved)

Profiling

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