Details

Time bar (total: 13.6s)

analyze358.0ms (2.6%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
50%50%50%0%0%0%0%3
50%50%50%0%0%0%0%4
50%50%50%0%0%0%0%5
50%50%50%0%0%0%0%6
50%50%50%0%0%0%0%7
50%50%50%0%0%0%0%8
50%50%50%0%0%0%0%9
50%50%50%0%0%0%0%10
50%50%50%0%0%0%0%11
50%50%50%0%0%0%0%12
Compiler

Compiled 12 to 9 computations (25% saved)

sample10.0s (73.8%)

Results
4.3s1601×body8192exit
2.9s4057×body1024valid
903.0ms2155×body512valid
835.0ms1631×body1024invalid
456.0ms1894×body256valid
313.0ms778×body512invalid
145.0ms846×body256invalid
138.0ms150×body2048valid
1.0ms1×body2048invalid
Bogosity

preprocess87.0ms (0.6%)

Algorithm
2×egg-herbie
Rules
924×unswap-sqr_binary64
430×associate-/l*_binary64
381×fma-def_binary64
325×fma-neg_binary64
282×fabs-mul_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
11617
22615
33915
46315
512015
628115
773515
8117615
9313115
10503115
11577015
12710615
011
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Outputs
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
Compiler

Compiled 12 to 9 computations (25% saved)

simplify80.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
924×unswap-sqr_binary64
430×associate-/l*_binary64
381×fma-def_binary64
325×fma-neg_binary64
282×fabs-mul_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0917
11617
22615
33915
46315
512015
628115
773515
8117615
9313115
10503115
11577015
12710615
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Outputs
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))

eval1.0ms (0%)

Compiler

Compiled 20 to 9 computations (55% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
60.4b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶60.4b
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
Compiler

Compiled 10 to 6 computations (40% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(sqrt.f64 (cos.f64 x))
✓0.5b
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
✓4.1b
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
Compiler

Compiled 24 to 6 computations (75% saved)

series5.0ms (0%)

Counts
3 → 8
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
1.0ms
x
@-inf
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
1.0ms
x
@inf
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
1.0ms
x
@inf
(sqrt.f64 (cos.f64 x))
0.0ms
x
@0
(sqrt.f64 (cos.f64 x))

rewrite61.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
695×pow1_binary64
641×add-log-exp_binary64
641×log1p-expm1-u_binary64
641×expm1-log1p-u_binary64
624×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0730
113930
2174630
Stop Event
1×node limit
Counts
3 → 67
Calls
Call 1
Inputs
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(sqrt.f64 (cos.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 2) (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) (sqrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 1 (neg.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) 1) (/.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1) (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (exp.f64 x))) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (sqrt.f64 (exp.f64 x))) (/.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 3) (pow.f64 (exp.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (cos.f64 x))) (cbrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 x) 1/4) (pow.f64 (cos.f64 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (sqrt.f64 (cbrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1/2) (pow.f64 (cbrt.f64 (cos.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 x) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (cos.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 x) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (cos.f64 x))))))))

simplify44.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
642×distribute-rgt-in_binary64
605×fma-neg_binary64
564×distribute-lft-in_binary64
364×associate--r+_binary64
337×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
048225
1129207
2423169
32284147
Stop Event
1×node limit
Counts
75 → 81
Calls
Call 1
Inputs
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (pow.f64 x 2))) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (+.f64 (*.f64 -1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 1/6 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (pow.f64 x 2))) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))))
1
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -1/96 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -1/96 (pow.f64 x 4)) (*.f64 -19/5760 (pow.f64 x 6)))))
Outputs
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))
(-.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 (+.f64 (neg.f64 x) 1) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (pow.f64 x 2))) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x))))
(fma.f64 -1 (*.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1/2) (*.f64 x x)) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)))
(fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2) (*.f64 x x) (-.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2) (*.f64 x x) (*.f64 (+.f64 (neg.f64 x) 1) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (+.f64 (neg.f64 x) 1) (*.f64 x (*.f64 x -1/2))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (+.f64 (*.f64 -1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 1/6 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (pow.f64 x 2))) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))))
(fma.f64 -1 (*.f64 (fma.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1/2) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1/3)) (pow.f64 x 3)) (fma.f64 -1 (*.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1/2) (*.f64 x x)) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))))
(-.f64 (fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2) (*.f64 x x) (-.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (*.f64 (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1/3 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2)) (pow.f64 x 3)))
(fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2) (*.f64 x x) (fma.f64 (pow.f64 x 3) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1/6) (*.f64 (+.f64 (neg.f64 x) 1) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(+.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x)) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 (pow.f64 x 3) 1/6))))
1
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1 (*.f64 (*.f64 x x) -1/4))
(fma.f64 (*.f64 x x) -1/4 1)
(+.f64 1 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -1/96 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/4 (*.f64 x x) (*.f64 -1/96 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/96 (pow.f64 x 4) (*.f64 x (*.f64 x -1/4))))
(fma.f64 x (*.f64 x -1/4) (fma.f64 -1/96 (pow.f64 x 4) 1))
(+.f64 1 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -1/96 (pow.f64 x 4)) (*.f64 -19/5760 (pow.f64 x 6)))))
(+.f64 1 (fma.f64 -1/4 (*.f64 x x) (fma.f64 -1/96 (pow.f64 x 4) (*.f64 -19/5760 (pow.f64 x 6)))))
(+.f64 (fma.f64 (*.f64 x x) -1/4 1) (fma.f64 -1/96 (pow.f64 x 4) (*.f64 -19/5760 (pow.f64 x 6))))
(+.f64 1 (fma.f64 -1/96 (pow.f64 x 4) (fma.f64 x (*.f64 x -1/4) (*.f64 -19/5760 (pow.f64 x 6)))))

eval18.0ms (0.1%)

Compiler

Compiled 1258 to 413 computations (67.2% saved)

prune16.0ms (0.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New75681
Fresh000
Picked011
Done000
Total75782
Error
60.3b
Counts
82 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
✓60.4b
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
▶61.0b
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
60.6b
(/.f64 (log.f64 (exp.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (exp.f64 x))
▶60.5b
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x))
▶60.4b
(-.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 1)
▶60.3b
(exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))
▶60.5b
(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))
Compiler

Compiled 140 to 94 computations (32.9% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))
✓1.3b
(-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)
✓2.2b
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
4.1b
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
Compiler

Compiled 41 to 8 computations (80.5% saved)

series55.0ms (0.4%)

Counts
3 → 20
Calls

9 calls:

TimeVariablePointExpression
22.0ms
x
@0
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
18.0ms
x
@inf
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
13.0ms
x
@-inf
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
1.0ms
x
@0
(exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))
0.0ms
x
@inf
(-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)

rewrite72.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
922×pow1_binary64
852×add-log-exp_binary64
852×log1p-expm1-u_binary64
852×expm1-log1p-u_binary64
831×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0942
117942
2231842
Stop Event
1×node limit
Counts
3 → 92
Calls
Call 1
Inputs
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)
(exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2)) (log.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (log.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (cbrt.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2)) (cbrt.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (sqrt.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))) (log.f64 (sqrt.f64 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(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2)) (cbrt.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (sqrt.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (neg.f64 x))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 2) (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) (sqrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) 1) (/.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1) (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (exp.f64 x))) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (sqrt.f64 (exp.f64 x))) (/.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (/.f64 (exp.f64 x) (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 (exp.f64 x) (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (neg.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2)) (cbrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))) (sqrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 3) (pow.f64 (exp.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))))))

simplify57.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
777×distribute-rgt-neg-in_binary64
661×distribute-lft-neg-in_binary64
522×cancel-sign-sub-inv_binary64
459×fma-def_binary64
402×fma-neg_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
027382
172363
2180325
3556303
42104293
55550293
Stop Event
1×node limit
Counts
112 → 105
Calls
Call 1
Inputs
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(+.f64 (*.f64 -1 x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(+.f64 (*.f64 -1 x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(+.f64 (*.f64 -1 x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(+.f64 (*.f64 -1 x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(+.f64 (*.f64 -1 x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(+.f64 (*.f64 -1 x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(+.f64 (*.f64 -1 x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (*.f64 1/2 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 x 2))) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x))))
(+.f64 (*.f64 1/2 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 x 2))) (+.f64 (*.f64 -1/6 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 x 3))) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))))
(exp.f64 (+.f64 (*.f64 -1 x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(exp.f64 (+.f64 (*.f64 -1 x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(exp.f64 (+.f64 (*.f64 -1 x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(exp.f64 (+.f64 (*.f64 -1 x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
Outputs
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(+.f64 (*.f64 -1 x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fma.f64 -1 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)
(+.f64 (*.f64 -1 x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fma.f64 -1 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)
(+.f64 (*.f64 -1 x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fma.f64 -1 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fma.f64 -1 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)
(+.f64 (*.f64 -1 x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fma.f64 -1 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)
(+.f64 (*.f64 -1 x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fma.f64 -1 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fma.f64 -1 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)
(+.f64 (*.f64 -1 x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fma.f64 -1 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)
(+.f64 (*.f64 -1 x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fma.f64 -1 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (*.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(-.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 (+.f64 (neg.f64 x) 1) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 x -1 1))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(+.f64 (*.f64 1/2 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 x 2))) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x))))
(fma.f64 1/2 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x x)) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (*.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))
(-.f64 (fma.f64 1/2 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (*.f64 1/2 (*.f64 x x)) (neg.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))
(+.f64 (*.f64 1/2 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 x 2))) (+.f64 (*.f64 -1/6 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 x 3))) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))))
(fma.f64 1/2 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x x)) (fma.f64 -1/6 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 x 3)) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (*.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))))
(fma.f64 1/2 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x x)) (-.f64 (fma.f64 -1/6 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 x 3)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(+.f64 (*.f64 (+.f64 (neg.f64 x) 1) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 -1/6 (pow.f64 x 3)))))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6))) x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 1 (*.f64 x (+.f64 -1 (*.f64 x (+.f64 1/2 (*.f64 x -1/6)))))))
(exp.f64 (+.f64 (*.f64 -1 x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(exp.f64 (fma.f64 -1 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(exp.f64 (+.f64 (*.f64 -1 x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(exp.f64 (fma.f64 -1 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(exp.f64 (+.f64 (*.f64 -1 x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(exp.f64 (fma.f64 -1 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(exp.f64 (+.f64 (*.f64 -1 x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(exp.f64 (fma.f64 -1 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.5b
(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))
✓4.1b
(fmod.f64 (exp.f64 x) 1)
Compiler

Compiled 16 to 8 computations (50% saved)

series3.0ms (0%)

Counts
2 → 4
Calls

6 calls:

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

rewrite44.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
556×pow1_binary64
512×add-log-exp_binary64
512×log1p-expm1-u_binary64
512×expm1-log1p-u_binary64
500×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0617
111317
2136817
Stop Event
1×node limit
Counts
2 → 46
Calls
Call 1
Inputs
(fmod.f64 (exp.f64 x) 1)
(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fmod.f64 (exp.f64 x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fmod.f64 (exp.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fmod.f64 (exp.f64 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) 1)) (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) 1)) 2) (cbrt.f64 (fmod.f64 (exp.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) 1)) (sqrt.f64 (fmod.f64 (exp.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fmod.f64 (exp.f64 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fmod.f64 (exp.f64 x) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fmod.f64 (exp.f64 x) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fmod.f64 (exp.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fmod.f64 (exp.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))) 2) (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) 1)) 2) (*.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) 1)) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))) (sqrt.f64 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) 1)) (*.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) 1)) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fmod.f64 (exp.f64 x) 1)) (/.f64 1 (neg.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) 1)) 2) 1) (/.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) 1)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) 1)) 1) (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) 1)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (fmod.f64 (exp.f64 x) 1) (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) 1)) 2) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) 1)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) 1)) (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (exp.f64 x))) (/.f64 (fmod.f64 (exp.f64 x) 1) (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) 1)) 2) (sqrt.f64 (exp.f64 x))) (/.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) 1)) (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fmod.f64 (exp.f64 x) 1) (neg.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) x))))))

simplify51.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
677×fma-neg_binary64
581×distribute-rgt-in_binary64
519×distribute-lft-in_binary64
352×associate--r+_binary64
256×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
033135
198115
234187
3194574
4796474
Stop Event
1×node limit
Counts
50 → 53
Calls
Call 1
Inputs
(fmod.f64 (exp.f64 x) 1)
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) x)) (fmod.f64 (exp.f64 x) 1))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (fmod.f64 (exp.f64 x) 1)) (*.f64 1/2 (fmod.f64 (exp.f64 x) 1))) (pow.f64 x 2))) (fmod.f64 (exp.f64 x) 1)))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (fmod.f64 (exp.f64 x) 1)) (*.f64 1/2 (fmod.f64 (exp.f64 x) 1))) (pow.f64 x 2))) (+.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (fmod.f64 (exp.f64 x) 1)) (+.f64 (*.f64 -1/2 (fmod.f64 (exp.f64 x) 1)) (*.f64 -1 (+.f64 (*.f64 -1 (fmod.f64 (exp.f64 x) 1)) (*.f64 1/2 (fmod.f64 (exp.f64 x) 1)))))) (pow.f64 x 3))))))
Outputs
(fmod.f64 (exp.f64 x) 1)
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) x)) (fmod.f64 (exp.f64 x) 1))
(fma.f64 -1 (*.f64 x (fmod.f64 (exp.f64 x) 1)) (fmod.f64 (exp.f64 x) 1))
(-.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 x (fmod.f64 (exp.f64 x) 1)))
(*.f64 (+.f64 (neg.f64 x) 1) (fmod.f64 (exp.f64 x) 1))
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (fmod.f64 (exp.f64 x) 1)) (*.f64 1/2 (fmod.f64 (exp.f64 x) 1))) (pow.f64 x 2))) (fmod.f64 (exp.f64 x) 1)))
(fma.f64 -1 (*.f64 x (fmod.f64 (exp.f64 x) 1)) (fma.f64 -1 (*.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) -1/2) (*.f64 x x)) (fmod.f64 (exp.f64 x) 1)))
(-.f64 (fma.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) 1/2) (*.f64 x x) (fmod.f64 (exp.f64 x) 1)) (*.f64 x (fmod.f64 (exp.f64 x) 1)))
(-.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 x (*.f64 (*.f64 x x) -1/2))))
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 (+.f64 x (*.f64 (*.f64 x x) -1/2))))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (fmod.f64 (exp.f64 x) 1)) (*.f64 1/2 (fmod.f64 (exp.f64 x) 1))) (pow.f64 x 2))) (+.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (fmod.f64 (exp.f64 x) 1)) (+.f64 (*.f64 -1/2 (fmod.f64 (exp.f64 x) 1)) (*.f64 -1 (+.f64 (*.f64 -1 (fmod.f64 (exp.f64 x) 1)) (*.f64 1/2 (fmod.f64 (exp.f64 x) 1)))))) (pow.f64 x 3))))))
(fma.f64 -1 (*.f64 x (fmod.f64 (exp.f64 x) 1)) (+.f64 (fma.f64 -1 (*.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) -1/2) (*.f64 x x)) (fmod.f64 (exp.f64 x) 1)) (neg.f64 (*.f64 (fma.f64 1/6 (fmod.f64 (exp.f64 x) 1) (fma.f64 -1/2 (fmod.f64 (exp.f64 x) 1) (neg.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) -1/2)))) (pow.f64 x 3)))))
(-.f64 (-.f64 (fma.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) 1/2) (*.f64 x x) (fmod.f64 (exp.f64 x) 1)) (*.f64 (+.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) 1/2) (*.f64 (fmod.f64 (exp.f64 x) 1) -1/3)) (pow.f64 x 3))) (*.f64 x (fmod.f64 (exp.f64 x) 1)))
(-.f64 (fma.f64 (pow.f64 x 3) (*.f64 (fmod.f64 (exp.f64 x) 1) -1/6) (fmod.f64 (exp.f64 x) 1)) (*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 x (*.f64 (*.f64 x x) -1/2))))
(+.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 (*.f64 x (-.f64 -1 (*.f64 x -1/2))) (*.f64 1/6 (pow.f64 x 3)))))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (cos.f64 x))
4.1b
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
Compiler

Compiled 15 to 5 computations (66.7% saved)

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 (*.f64 x x) -1/4 1)
✓0.5b
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x))
✓4.1b
(fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))
Compiler

Compiled 36 to 17 computations (52.8% saved)

series4.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x))
1.0ms
x
@-inf
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x))
1.0ms
x
@inf
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x))
1.0ms
x
@inf
(fma.f64 (*.f64 x x) -1/4 1)
0.0ms
x
@0
(fma.f64 (*.f64 x x) -1/4 1)

rewrite107.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
806×pow1_binary64
747×add-log-exp_binary64
746×log1p-expm1-u_binary64
746×expm1-log1p-u_binary64
730×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0939
117539
2204339
Stop Event
1×node limit
Counts
3 → 68
Calls
Call 1
Inputs
(fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x))
(fma.f64 (*.f64 x x) -1/4 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))) (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))) 2) (cbrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))) (sqrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))) 2) (*.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x))) 2) (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))) (*.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x))) (sqrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))) (/.f64 1 (neg.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))) 2) 1) (/.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))) 1) (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))) 2) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))) (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (exp.f64 x))) (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))) 2) (sqrt.f64 (exp.f64 x))) (/.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))) (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (neg.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) 3) (pow.f64 (exp.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))) x))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (*.f64 x x) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) -1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 x x) -1/4) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (*.f64 x x) -1/4 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (*.f64 x x) -1/4 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 x x) -1/4 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -1/4 1)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -1/4 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -1/4 1)) 2) (cbrt.f64 (fma.f64 (*.f64 x x) -1/4 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -1/4 1)) (sqrt.f64 (fma.f64 (*.f64 x x) -1/4 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) -1/4) 3) 1) (+.f64 (*.f64 (*.f64 (*.f64 x x) -1/4) (*.f64 (*.f64 x x) -1/4)) (-.f64 1 (*.f64 (*.f64 (*.f64 x x) -1/4) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) -1/4) (*.f64 (*.f64 x x) -1/4)) 1) (-.f64 (*.f64 (*.f64 x x) -1/4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (*.f64 x x) -1/4 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 x x) -1/4 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -1/4 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -1/4 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (*.f64 x x) -1/4 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (*.f64 x x) -1/4 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) -1/4 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (*.f64 x x) -1/4 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (*.f64 x x) -1/4 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (*.f64 x x) -1/4 1)))))))

simplify68.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
470×associate--r+_binary64
434×associate--l+_binary64
348×associate-+l-_binary64
339×distribute-rgt-out_binary64
295×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
038609
1116583
2428526
32338499
47969499
Stop Event
1×node limit
Counts
104 → 83
Calls
Call 1
Inputs
(fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1))
(fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1))
(fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1))
(fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1))
(fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1))
(fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1))
(fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1))
(fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1))
(fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1))
(fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1))
(fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1))
(fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1))
(fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1))
(+.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) x)))
(+.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) (+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) x)) (*.f64 -1 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 1/2 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1))) (*.f64 -1 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1))))))))
(+.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) (+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1))) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1))) (*.f64 -1 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1))))) (*.f64 -1/2 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1))))) (pow.f64 x 3))) (*.f64 -1 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 1/2 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1))) (*.f64 -1 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)))))))))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) (exp.f64 x))
1
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
(*.f64 -1/4 (pow.f64 x 2))
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
(*.f64 -1/4 (pow.f64 x 2))
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
Outputs
(fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1))
(fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))
(fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1))
(fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))
(fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1))
(fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))
(fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1))
(fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))
(fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1))
(fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))
(fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1))
(fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))
(fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1))
(fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))
(fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1))
(fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))
(fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1))
(fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))
(fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1))
(fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))
(fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1))
(fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))
(fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1))
(fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))
(fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1))
(fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))
(+.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) x)))
(+.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (*.f64 (neg.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))) x))
(-.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))))
(*.f64 (+.f64 (neg.f64 x) 1) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (-.f64 1 x))
(+.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) (+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) x)) (*.f64 -1 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 1/2 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1))) (*.f64 -1 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1))))))))
(+.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (*.f64 -1 (+.f64 (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))) (*.f64 (*.f64 x x) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) -1/2)))))
(fma.f64 -1 (fma.f64 x (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (*.f64 -1/2 (*.f64 x x)))) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)))
(+.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (-.f64 (*.f64 x (*.f64 x 1/2)) x)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (-.f64 (+.f64 1 (*.f64 x (*.f64 x 1/2))) x))
(+.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) (+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1))) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1))) (*.f64 -1 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1))))) (*.f64 -1/2 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1))))) (pow.f64 x 3))) (*.f64 -1 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 1/2 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1))) (*.f64 -1 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)))))))))
(+.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (fma.f64 -1 (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))) (fma.f64 -1 (*.f64 (fma.f64 1/6 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (fma.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) -1/2) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) -1/2))) (pow.f64 x 3)) (neg.f64 (*.f64 (*.f64 x x) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) -1/2))))))
(+.f64 (-.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)))) (-.f64 (*.f64 x (*.f64 x (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) 1/2))) (*.f64 (fma.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) 1/6 (*.f64 0 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) -1/2))) (pow.f64 x 3))))
(+.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (fma.f64 (fma.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) 1/6 0) (neg.f64 (pow.f64 x 3)) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (-.f64 (*.f64 x (*.f64 x 1/2)) x))))
(+.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (-.f64 1 x)) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (-.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 1/6 (pow.f64 x 3)))))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x))
1
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
(fma.f64 (*.f64 x x) -1/4 1)
(fma.f64 x (*.f64 x -1/4) 1)
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
(fma.f64 (*.f64 x x) -1/4 1)
(fma.f64 x (*.f64 x -1/4) 1)
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
(fma.f64 (*.f64 x x) -1/4 1)
(fma.f64 x (*.f64 x -1/4) 1)
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 (*.f64 x x) -1/4)
(*.f64 x (*.f64 x -1/4))
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
(fma.f64 (*.f64 x x) -1/4 1)
(fma.f64 x (*.f64 x -1/4) 1)
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
(fma.f64 (*.f64 x x) -1/4 1)
(fma.f64 x (*.f64 x -1/4) 1)
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
(fma.f64 (*.f64 x x) -1/4 1)
(fma.f64 x (*.f64 x -1/4) 1)
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 (*.f64 x x) -1/4)
(*.f64 x (*.f64 x -1/4))
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
(fma.f64 (*.f64 x x) -1/4 1)
(fma.f64 x (*.f64 x -1/4) 1)
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
(fma.f64 (*.f64 x x) -1/4 1)
(fma.f64 x (*.f64 x -1/4) 1)
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
(fma.f64 (*.f64 x x) -1/4 1)
(fma.f64 x (*.f64 x -1/4) 1)

localize36.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (cos.f64 x))
0.5b
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
✓2.4b
(-.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 1)
4.1b
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
Compiler

Compiled 49 to 13 computations (73.5% saved)

series3.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
(-.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 1)
1.0ms
x
@inf
(-.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 1)
1.0ms
x
@-inf
(-.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 1)

rewrite92.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
480×prod-diff_binary64
443×log-prod_binary64
380×fma-def_binary64
259×pow-prod-down_binary64
250×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01021
121515
2297615
Stop Event
1×node limit
Counts
1 → 106
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 2) (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) (sqrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 1 (neg.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 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(sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (cbrt.f64 (exp.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (exp.f64 x) -1/2) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (exp.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (sqrt.f64 (exp.f64 x))) (/.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (sqrt.f64 (exp.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)) 1)) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 1) (-.f64 (sqrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 1) 1)))))

simplify38.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
642×distribute-rgt-in_binary64
605×fma-neg_binary64
564×distribute-lft-in_binary64
363×associate--r+_binary64
271×associate--l+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
032293
193277
2329241
31954219
Stop Event
1×node limit
Counts
118 → 113
Calls
Call 1
Inputs
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (pow.f64 x 2))) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (+.f64 (*.f64 -1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 1/6 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (pow.f64 x 2))) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
Outputs
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))
(-.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 (+.f64 (neg.f64 x) 1) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (pow.f64 x 2))) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x))))
(fma.f64 -1 (*.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1/2) (*.f64 x x)) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)))
(fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2) (*.f64 x x) (-.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2) (*.f64 x x) (*.f64 (+.f64 (neg.f64 x) 1) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (*.f64 1/2 (*.f64 x x)) (+.f64 1 (neg.f64 x))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (+.f64 (*.f64 -1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 1/6 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (pow.f64 x 2))) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))))
(fma.f64 -1 (*.f64 (fma.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1/2) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1/3)) (pow.f64 x 3)) (fma.f64 -1 (*.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1/2) (*.f64 x x)) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))))
(-.f64 (fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2) (*.f64 x x) (-.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (*.f64 (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1/3 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2)) (pow.f64 x 3)))
(fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2) (*.f64 x x) (fma.f64 (pow.f64 x 3) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1/6) (*.f64 (+.f64 (neg.f64 x) 1) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(-.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 1/6 (pow.f64 x 3)))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 x 1)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))

eval115.0ms (0.8%)

Compiler

Compiled 8659 to 3256 computations (62.4% saved)

prune79.0ms (0.6%)

Pruning

19 alts after pruning (17 fresh and 2 done)

PrunedKeptTotal
New47717494
Fresh101
Picked101
Done325
Total48219501
Error
23.8b
Counts
501 → 19
Alt Table
Click to see full alt table
StatusErrorProgram
60.5b
(exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) x))
60.8b
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 (+.f64 x (*.f64 (*.f64 x x) -1/2))))
60.6b
(exp.f64 (-.f64 (log.f64 (log.f64 (exp.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) x))
▶60.8b
(/.f64 (log.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1))) (exp.f64 x))
60.8b
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
▶61.0b
(fmod.f64 (exp.f64 x) 1)
▶60.5b
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 (*.f64 (*.f64 x x) -1/4) 1)) (exp.f64 x))
60.4b
(/.f64 1 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
62.2b
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4))) (exp.f64 x))
60.3b
(/.f64 (-.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2)) (-.f64 1 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))))
61.0b
(pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 3) 1/3)
▶60.4b
(/.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (/.f64 (exp.f64 x) (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
62.2b
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2))) (exp.f64 x))
60.3b
(/.f64 (+.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 3)) (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2) (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)))))
60.4b
(fma.f64 (+.f64 (sqrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 1) (-.f64 (sqrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 1) 1)
▶25.1b
(exp.f64 (neg.f64 x))
✓60.4b
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
✓60.5b
(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))
60.5b
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 (neg.f64 x)))
Compiler

Compiled 532 to 323 computations (39.3% saved)

localize4.0ms (0%)

Compiler

Compiled 7 to 3 computations (57.1% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
4.1b
(fmod.f64 (exp.f64 x) 1)
Compiler

Compiled 9 to 5 computations (44.4% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 (*.f64 x x) -1/4) 1)
✓0.0b
(*.f64 (*.f64 x x) -1/4)
✓0.5b
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 (*.f64 (*.f64 x x) -1/4) 1)) (exp.f64 x))
✓4.1b
(fmod.f64 (exp.f64 x) (+.f64 (*.f64 (*.f64 x x) -1/4) 1))
Compiler

Compiled 44 to 22 computations (50% saved)

series5.0ms (0%)

Counts
4 → 48
Calls

12 calls:

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

rewrite81.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
470×log-prod_binary64
355×exp-prod_binary64
342×prod-diff_binary64
260×pow-prod-down_binary64
255×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01046
120846
2260246
Stop Event
1×node limit
Counts
4 → 165
Calls
Call 1
Inputs
(fmod.f64 (exp.f64 x) (+.f64 (*.f64 (*.f64 x x) -1/4) 1))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 (*.f64 (*.f64 x x) -1/4) 1)) (exp.f64 x))
(*.f64 (*.f64 x x) -1/4)
(+.f64 (*.f64 (*.f64 x x) -1/4) 1)
Outputs
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-1/4)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x -1/4) x 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/4 (*.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) 1)))))

simplify67.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
414×associate--l+_binary64
392×associate--r+_binary64
383×associate-+l-_binary64
341×fma-def_binary64
292×distribute-rgt-out_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
040775
1119669
2435609
32451580
47709580
Stop Event
1×node limit
Counts
213 → 180
Calls
Call 1
Inputs
(fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2))))
(fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2))))
(fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2))))
(fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2))))
(fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 1/4 (pow.f64 x 2))))
(fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 1/4 (pow.f64 x 2))))
(fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 1/4 (pow.f64 x 2))))
(fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 1/4 (pow.f64 x 2))))
(fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 1/4 (pow.f64 x 2))))
(fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 1/4 (pow.f64 x 2))))
(fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 1/4 (pow.f64 x 2))))
(fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 1/4 (pow.f64 x 2))))
(fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2))))
(+.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2))))) (*.f64 1/2 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))))))) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))) x))))
(+.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2))))) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2))))) (*.f64 1/2 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2))))))) (*.f64 1/6 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2))))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2))))) (*.f64 1/2 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))))))) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))) x)))))
(/.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 1/4 (pow.f64 x 2)))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 1/4 (pow.f64 x 2)))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 1/4 (pow.f64 x 2)))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 1/4 (pow.f64 x 2)))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 1/4 (pow.f64 x 2)))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 1/4 (pow.f64 x 2)))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 1/4 (pow.f64 x 2)))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 1/4 (pow.f64 x 2)))) (exp.f64 x))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (pow.f64 x 2))
1
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
(*.f64 -1/4 (pow.f64 x 2))
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
(*.f64 -1/4 (pow.f64 x 2))
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
Outputs
(fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2))))
(fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (*.f64 x x))))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))
(fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2))))
(fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (*.f64 x x))))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))
(fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2))))
(fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (*.f64 x x))))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))
(fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2))))
(fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (*.f64 x x))))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))
(fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 1/4 (pow.f64 x 2))))
(fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (*.f64 x x))))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))
(fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 1/4 (pow.f64 x 2))))
(fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (*.f64 x x))))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))
(fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 1/4 (pow.f64 x 2))))
(fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (*.f64 x x))))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))
(fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 1/4 (pow.f64 x 2))))
(fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (*.f64 x x))))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))
(fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 1/4 (pow.f64 x 2))))
(fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (*.f64 x x))))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))
(fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 1/4 (pow.f64 x 2))))
(fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (*.f64 x x))))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))
(fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 1/4 (pow.f64 x 2))))
(fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (*.f64 x x))))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))
(fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 1/4 (pow.f64 x 2))))
(fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (*.f64 x x))))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))
(fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2))))
(fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (*.f64 x x))))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))
(+.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (*.f64 x x)))) (*.f64 (neg.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (*.f64 x x))))) x))
(-.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))))
(*.f64 (+.f64 (neg.f64 x) 1) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (-.f64 1 x))
(+.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2))))) (*.f64 1/2 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))))))) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))) x))))
(+.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (*.f64 x x)))) (fma.f64 -1 (*.f64 (*.f64 x x) (*.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (*.f64 x x)))) -1/2)) (*.f64 (neg.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (*.f64 x x))))) x)))
(fma.f64 -1 (fma.f64 (*.f64 x x) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) -1/2) (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)))) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)))
(-.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (+.f64 x (*.f64 x (*.f64 x -1/2)))))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (+.f64 (-.f64 (*.f64 x (*.f64 x 1/2)) x) 1))
(+.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2))))) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2))))) (*.f64 1/2 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2))))))) (*.f64 1/6 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2))))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2))))) (*.f64 1/2 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))))))) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))) x)))))
(+.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (*.f64 x x)))) (fma.f64 -1 (*.f64 (fma.f64 -1/2 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (*.f64 x x)))) (fma.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (*.f64 x x)))) -1/2) (*.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (*.f64 x x)))) 1/6))) (pow.f64 x 3)) (fma.f64 -1 (*.f64 (*.f64 x x) (*.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (*.f64 x x)))) -1/2)) (*.f64 (neg.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (*.f64 x x))))) x))))
(+.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 (-.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (*.f64 1/2 (*.f64 x x))) (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)))) (*.f64 (+.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) 1/6) (*.f64 0 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) -1/2))) (pow.f64 x 3))))
(fma.f64 -1 (fma.f64 (fma.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) 1/6 0) (pow.f64 x 3) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (+.f64 x (*.f64 x (*.f64 x -1/2))))) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)))
(-.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 x (*.f64 x (*.f64 x -1/2))))))
(/.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 1/4 (pow.f64 x 2)))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (*.f64 x x)))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 1/4 (pow.f64 x 2)))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (*.f64 x x)))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 1/4 (pow.f64 x 2)))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (*.f64 x x)))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 1/4 (pow.f64 x 2)))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (*.f64 x x)))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 1/4 (pow.f64 x 2)))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (*.f64 x x)))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 1/4 (pow.f64 x 2)))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (*.f64 x x)))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 1/4 (pow.f64 x 2)))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (*.f64 x x)))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (-.f64 1 (*.f64 1/4 (pow.f64 x 2)))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 -1/4 (*.f64 x x)))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (*.f64 x x))
(*.f64 (*.f64 -1/4 x) x)
(*.f64 x (*.f64 x -1/4))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (*.f64 x x))
(*.f64 (*.f64 -1/4 x) x)
(*.f64 x (*.f64 x -1/4))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (*.f64 x x))
(*.f64 (*.f64 -1/4 x) x)
(*.f64 x (*.f64 x -1/4))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (*.f64 x x))
(*.f64 (*.f64 -1/4 x) x)
(*.f64 x (*.f64 x -1/4))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (*.f64 x x))
(*.f64 (*.f64 -1/4 x) x)
(*.f64 x (*.f64 x -1/4))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (*.f64 x x))
(*.f64 (*.f64 -1/4 x) x)
(*.f64 x (*.f64 x -1/4))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (*.f64 x x))
(*.f64 (*.f64 -1/4 x) x)
(*.f64 x (*.f64 x -1/4))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (*.f64 x x))
(*.f64 (*.f64 -1/4 x) x)
(*.f64 x (*.f64 x -1/4))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (*.f64 x x))
(*.f64 (*.f64 -1/4 x) x)
(*.f64 x (*.f64 x -1/4))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (*.f64 x x))
(*.f64 (*.f64 -1/4 x) x)
(*.f64 x (*.f64 x -1/4))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (*.f64 x x))
(*.f64 (*.f64 -1/4 x) x)
(*.f64 x (*.f64 x -1/4))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (*.f64 x x))
(*.f64 (*.f64 -1/4 x) x)
(*.f64 x (*.f64 x -1/4))
1
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/4 (*.f64 x x)))
(fma.f64 -1/4 (*.f64 x x) 1)
(fma.f64 x (*.f64 x -1/4) 1)
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/4 (*.f64 x x)))
(fma.f64 -1/4 (*.f64 x x) 1)
(fma.f64 x (*.f64 x -1/4) 1)
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/4 (*.f64 x x)))
(fma.f64 -1/4 (*.f64 x x) 1)
(fma.f64 x (*.f64 x -1/4) 1)
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (*.f64 x x))
(*.f64 (*.f64 -1/4 x) x)
(*.f64 x (*.f64 x -1/4))
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/4 (*.f64 x x)))
(fma.f64 -1/4 (*.f64 x x) 1)
(fma.f64 x (*.f64 x -1/4) 1)
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/4 (*.f64 x x)))
(fma.f64 -1/4 (*.f64 x x) 1)
(fma.f64 x (*.f64 x -1/4) 1)
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/4 (*.f64 x x)))
(fma.f64 -1/4 (*.f64 x x) 1)
(fma.f64 x (*.f64 x -1/4) 1)
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (*.f64 x x))
(*.f64 (*.f64 -1/4 x) x)
(*.f64 x (*.f64 x -1/4))
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/4 (*.f64 x x)))
(fma.f64 -1/4 (*.f64 x x) 1)
(fma.f64 x (*.f64 x -1/4) 1)
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/4 (*.f64 x x)))
(fma.f64 -1/4 (*.f64 x x) 1)
(fma.f64 x (*.f64 x -1/4) 1)
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/4 (*.f64 x x)))
(fma.f64 -1/4 (*.f64 x x) 1)
(fma.f64 x (*.f64 x -1/4) 1)

localize37.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.5b
(/.f64 (log.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1))) (exp.f64 x))
✓2.4b
(log.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1)))
4.1b
(fmod.f64 (exp.f64 x) 1)
Compiler

Compiled 29 to 17 computations (41.4% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite49.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
625×pow1_binary64
574×log1p-expm1-u_binary64
574×expm1-log1p-u_binary64
573×add-log-exp_binary64
559×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
113517
2155217
Stop Event
1×node limit
Counts
2 → 49
Calls
Call 1
Inputs
(log.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1)))
(/.f64 (log.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1))) (exp.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fmod.f64 (exp.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1)))) (log.f64 (sqrt.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fmod.f64 (exp.f64 x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fmod.f64 (exp.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fmod.f64 (exp.f64 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) 1)) (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) 1)) 2) (cbrt.f64 (fmod.f64 (exp.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) 1)) (sqrt.f64 (fmod.f64 (exp.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fmod.f64 (exp.f64 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fmod.f64 (exp.f64 x) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fmod.f64 (exp.f64 x) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fmod.f64 (exp.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fmod.f64 (exp.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fmod.f64 (exp.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))) 2) (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) 1)) 2) (*.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) 1)) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))) (sqrt.f64 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) 1)) (*.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) 1)) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fmod.f64 (exp.f64 x) 1)) (/.f64 1 (neg.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) 1)) 2) 1) (/.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) 1)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) 1)) 1) (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) 1)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (fmod.f64 (exp.f64 x) 1) (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) 1)) 2) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) 1)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) 1)) (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (exp.f64 x))) (/.f64 (fmod.f64 (exp.f64 x) 1) (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) 1)) 2) (sqrt.f64 (exp.f64 x))) (/.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) 1)) (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fmod.f64 (exp.f64 x) 1) (neg.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) x))))))

simplify58.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
677×fma-neg_binary64
581×distribute-rgt-in_binary64
519×distribute-lft-in_binary64
352×associate--r+_binary64
256×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
034295
199275
2342247
31911234
47946234
Stop Event
1×node limit
Counts
73 → 56
Calls
Call 1
Inputs
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) x)) (fmod.f64 (exp.f64 x) 1))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (fmod.f64 (exp.f64 x) 1)) (*.f64 1/2 (fmod.f64 (exp.f64 x) 1))) (pow.f64 x 2))) (fmod.f64 (exp.f64 x) 1)))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (fmod.f64 (exp.f64 x) 1)) (*.f64 1/2 (fmod.f64 (exp.f64 x) 1))) (pow.f64 x 2))) (+.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (fmod.f64 (exp.f64 x) 1)) (+.f64 (*.f64 -1/2 (fmod.f64 (exp.f64 x) 1)) (*.f64 -1 (+.f64 (*.f64 -1 (fmod.f64 (exp.f64 x) 1)) (*.f64 1/2 (fmod.f64 (exp.f64 x) 1)))))) (pow.f64 x 3))))))
(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))
Outputs
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) x)) (fmod.f64 (exp.f64 x) 1))
(fma.f64 -1 (*.f64 x (fmod.f64 (exp.f64 x) 1)) (fmod.f64 (exp.f64 x) 1))
(-.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 x (fmod.f64 (exp.f64 x) 1)))
(*.f64 (+.f64 (neg.f64 x) 1) (fmod.f64 (exp.f64 x) 1))
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (fmod.f64 (exp.f64 x) 1)) (*.f64 1/2 (fmod.f64 (exp.f64 x) 1))) (pow.f64 x 2))) (fmod.f64 (exp.f64 x) 1)))
(fma.f64 -1 (*.f64 x (fmod.f64 (exp.f64 x) 1)) (fma.f64 -1 (*.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) -1/2) (*.f64 x x)) (fmod.f64 (exp.f64 x) 1)))
(-.f64 (fma.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) 1/2) (*.f64 x x) (fmod.f64 (exp.f64 x) 1)) (*.f64 x (fmod.f64 (exp.f64 x) 1)))
(-.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 x (*.f64 x (*.f64 x -1/2)))))
(*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 1 (*.f64 x (-.f64 -1 (*.f64 x -1/2)))))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (fmod.f64 (exp.f64 x) 1)) (*.f64 1/2 (fmod.f64 (exp.f64 x) 1))) (pow.f64 x 2))) (+.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (fmod.f64 (exp.f64 x) 1)) (+.f64 (*.f64 -1/2 (fmod.f64 (exp.f64 x) 1)) (*.f64 -1 (+.f64 (*.f64 -1 (fmod.f64 (exp.f64 x) 1)) (*.f64 1/2 (fmod.f64 (exp.f64 x) 1)))))) (pow.f64 x 3))))))
(fma.f64 -1 (*.f64 x (fmod.f64 (exp.f64 x) 1)) (+.f64 (fma.f64 -1 (*.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) -1/2) (*.f64 x x)) (fmod.f64 (exp.f64 x) 1)) (neg.f64 (*.f64 (fma.f64 1/6 (fmod.f64 (exp.f64 x) 1) (fma.f64 -1/2 (fmod.f64 (exp.f64 x) 1) (neg.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) -1/2)))) (pow.f64 x 3)))))
(-.f64 (-.f64 (fma.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) 1/2) (*.f64 x x) (fmod.f64 (exp.f64 x) 1)) (*.f64 (+.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) 1/2) (*.f64 (fmod.f64 (exp.f64 x) 1) -1/3)) (pow.f64 x 3))) (*.f64 x (fmod.f64 (exp.f64 x) 1)))
(-.f64 (fma.f64 (pow.f64 x 3) (*.f64 (fmod.f64 (exp.f64 x) 1) -1/6) (fmod.f64 (exp.f64 x) 1)) (*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 x (*.f64 x (*.f64 x -1/2)))))
(+.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 (*.f64 x (-.f64 -1 (*.f64 x -1/2))) (*.f64 1/6 (pow.f64 x 3)))))
(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
✓0.5b
(/.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (/.f64 (exp.f64 x) (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
✓0.5b
(/.f64 (exp.f64 x) (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
4.1b
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
Compiler

Compiled 62 to 13 computations (79% saved)

series14.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(/.f64 (exp.f64 x) (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
2.0ms
x
@-inf
(/.f64 (exp.f64 x) (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
1.0ms
x
@inf
(cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
1.0ms
x
@-inf
(cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
1.0ms
x
@inf
(/.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (/.f64 (exp.f64 x) (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))

rewrite82.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
553×log-prod_binary64
418×exp-prod_binary64
290×pow-prod-down_binary64
275×pow2_binary64
202×pow-unpow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01163
122944
2289444
Stop Event
1×node limit
Counts
3 → 142
Calls
Call 1
Inputs
(/.f64 (exp.f64 x) (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(/.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (/.f64 (exp.f64 x) (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 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x) (sqrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))) (sqrt.f64 (log.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) 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simplify55.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
644×distribute-rgt-in_binary64
605×fma-neg_binary64
566×distribute-lft-in_binary64
369×associate--r+_binary64
353×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
047789
1135735
2470665
32538625
Stop Event
1×node limit
Counts
178 → 161
Calls
Call 1
Inputs
(pow.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1/3)
(+.f64 (pow.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1/3) (*.f64 (pow.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1/3) x))
(+.f64 (pow.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1/3) (+.f64 (*.f64 (pow.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1/3) x) (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1/3) (pow.f64 x 2)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1/3) (pow.f64 x 3))) (+.f64 (pow.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1/3) (+.f64 (*.f64 (pow.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1/3) x) (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1/3) (pow.f64 x 2))))))
(*.f64 (pow.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1/3) (exp.f64 x))
(*.f64 (pow.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1/3) (exp.f64 x))
(*.f64 (pow.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1/3) (exp.f64 x))
(*.f64 (pow.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1/3) (exp.f64 x))
(*.f64 (pow.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1/3) (exp.f64 x))
(*.f64 (pow.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1/3) (exp.f64 x))
(*.f64 (pow.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1/3) (exp.f64 x))
(*.f64 (pow.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1/3) (exp.f64 x))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (pow.f64 x 2))) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (+.f64 (*.f64 -1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 1/6 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (pow.f64 x 2))) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/3)
(pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/3)
(pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/3)
(pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/3)
(pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/3)
(pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/3)
(pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/3)
(pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/3)
(pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/3)
(pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/3)
(pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/3)
(pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/3)
Outputs
(pow.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1/3)
(cbrt.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(+.f64 (pow.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1/3) (*.f64 (pow.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1/3) x))
(+.f64 (cbrt.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (*.f64 x (cbrt.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))
(*.f64 (+.f64 x 1) (cbrt.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(*.f64 (cbrt.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (+.f64 1 x))
(+.f64 (pow.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1/3) (+.f64 (*.f64 (pow.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1/3) x) (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1/3) (pow.f64 x 2)))))
(+.f64 (cbrt.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (fma.f64 (cbrt.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) x (*.f64 (*.f64 1/2 (cbrt.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (*.f64 x x))))
(+.f64 (*.f64 (+.f64 x 1) (cbrt.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (*.f64 (cbrt.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (*.f64 (*.f64 x x) 1/2)))
(*.f64 (cbrt.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (+.f64 (+.f64 1 x) (*.f64 x (*.f64 x 1/2))))
(*.f64 (cbrt.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (+.f64 (+.f64 1 x) (*.f64 1/2 (*.f64 x x))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1/3) (pow.f64 x 3))) (+.f64 (pow.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1/3) (+.f64 (*.f64 (pow.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1/3) x) (*.f64 1/2 (*.f64 (pow.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1/3) (pow.f64 x 2))))))
(fma.f64 1/6 (*.f64 (cbrt.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (pow.f64 x 3)) (+.f64 (cbrt.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (fma.f64 (cbrt.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) x (*.f64 (*.f64 1/2 (cbrt.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (*.f64 x x)))))
(fma.f64 1/6 (*.f64 (cbrt.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 x 1) (cbrt.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (*.f64 (cbrt.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (*.f64 (*.f64 x x) 1/2))))
(fma.f64 (+.f64 1 x) (cbrt.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (*.f64 (cbrt.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (+.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 1/6 (pow.f64 x 3)))))
(*.f64 (cbrt.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (+.f64 (+.f64 1 x) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 1/6 x)))))
(*.f64 (pow.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1/3) (exp.f64 x))
(*.f64 (exp.f64 x) (cbrt.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(*.f64 (pow.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1/3) (exp.f64 x))
(*.f64 (exp.f64 x) (cbrt.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(*.f64 (pow.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1/3) (exp.f64 x))
(*.f64 (exp.f64 x) (cbrt.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(*.f64 (pow.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1/3) (exp.f64 x))
(*.f64 (exp.f64 x) (cbrt.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(*.f64 (pow.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1/3) (exp.f64 x))
(*.f64 (exp.f64 x) (cbrt.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(*.f64 (pow.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1/3) (exp.f64 x))
(*.f64 (exp.f64 x) (cbrt.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(*.f64 (pow.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1/3) (exp.f64 x))
(*.f64 (exp.f64 x) (cbrt.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(*.f64 (pow.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1/3) (exp.f64 x))
(*.f64 (exp.f64 x) (cbrt.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))
(-.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 (+.f64 (neg.f64 x) 1) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (pow.f64 x 2))) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x))))
(fma.f64 -1 (*.f64 (*.f64 x x) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1/2)) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)))
(-.f64 (fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2) (*.f64 x x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fma.f64 (*.f64 x x) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2) (*.f64 (+.f64 (neg.f64 x) 1) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (+.f64 (neg.f64 x) 1) (*.f64 x (*.f64 x -1/2))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (+.f64 (*.f64 -1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 1/6 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (pow.f64 x 2))) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))))
(fma.f64 -1 (*.f64 (pow.f64 x 3) (fma.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1/2) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1/3))) (fma.f64 -1 (*.f64 (*.f64 x x) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1/2)) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))))
(-.f64 (-.f64 (fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2) (*.f64 x x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (*.f64 (pow.f64 x 3) (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1/3 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2))))
(fma.f64 (*.f64 x x) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2) (fma.f64 (pow.f64 x 3) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1/6) (*.f64 (+.f64 (neg.f64 x) 1) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(+.f64 (*.f64 x (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (*.f64 1/2 x) -1))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 (*.f64 1/6 (pow.f64 x 3)))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/3)
(cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/3)
(cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/3)
(cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/3)
(cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/3)
(cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/3)
(cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/3)
(cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/3)
(cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/3)
(cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/3)
(cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/3)
(cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/3)
(cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))

eval180.0ms (1.3%)

Compiler

Compiled 10219 to 4382 computations (57.1% saved)

prune73.0ms (0.5%)

Pruning

19 alts after pruning (12 fresh and 7 done)

PrunedKeptTotal
New4992501
Fresh21012
Picked011
Done066
Total50119520
Error
23.8b
Counts
520 → 19
Alt Table
Click to see full alt table
StatusErrorProgram
60.5b
(exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) x))
60.8b
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 (+.f64 x (*.f64 (*.f64 x x) -1/2))))
60.6b
(exp.f64 (-.f64 (log.f64 (log.f64 (exp.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) x))
✓61.0b
(fmod.f64 (exp.f64 x) 1)
✓60.5b
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 (*.f64 (*.f64 x x) -1/4) 1)) (exp.f64 x))
60.4b
(/.f64 1 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
▶62.2b
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4))) (exp.f64 x))
▶60.3b
(/.f64 (-.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2)) (-.f64 1 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))))
✓60.4b
(/.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (/.f64 (exp.f64 x) (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
62.2b
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2))) (exp.f64 x))
60.3b
(/.f64 (+.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 3)) (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2) (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)))))
60.4b
(fma.f64 (+.f64 (sqrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 1) (-.f64 (sqrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 1) 1)
✓25.1b
(exp.f64 (neg.f64 x))
▶60.8b
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
▶61.0b
(pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) 1) 3) 1/3)
✓60.8b
(/.f64 (log.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1))) (exp.f64 x))
✓60.4b
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
✓60.5b
(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))
▶60.5b
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 (neg.f64 x)))
Compiler

Compiled 474 to 288 computations (39.2% saved)

localize60.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.3b
(-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)
2.2b
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
✓2.4b
(-.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2))
4.1b
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
Compiler

Compiled 108 to 25 computations (76.9% saved)

series3.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
(-.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2))
1.0ms
x
@inf
(-.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2))
1.0ms
x
@-inf
(-.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2))

rewrite62.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
547×log-prod_binary64
537×prod-diff_binary64
323×pow2_binary64
262×fma-def_binary64
221×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01323
126723
2323323
Stop Event
1×node limit
Counts
1 → 44
Calls
Call 1
Inputs
(-.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2))) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2))) (sqrt.f64 (-.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 6)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2) (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 4)) (/.f64 1 (+.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2) (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 4))) (-.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2)) (-.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 6)) (+.f64 1 (+.f64 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2) (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 4)) (+.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 6))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2) (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 4))) (neg.f64 (+.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (neg.f64 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2)) 3)) (+.f64 1 (-.f64 (pow.f64 (neg.f64 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2)) 2) (neg.f64 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (neg.f64 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2)) 2)) (-.f64 1 (neg.f64 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (+.f64 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2) (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 4))) (-.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2)) (-.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) (neg.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))) 4) (neg.f64 (pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2))) 2) (cbrt.f64 (neg.f64 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2))) (sqrt.f64 (neg.f64 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))) (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))) 4)) (pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))) 2) 1)))))

simplify44.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
450×associate--l+_binary64
412×associate-+l-_binary64
342×distribute-rgt-in_binary64
319×distribute-lft-in_binary64
317×associate--r+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
050504
1152494
2481479
32362437
Stop Event
1×node limit
Counts
56 → 55
Calls
Call 1
Inputs
(-.f64 1 (pow.f64 (-.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1) 2))
(-.f64 (+.f64 1 (*.f64 2 (*.f64 (-.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))) (pow.f64 (-.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1) 2))
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (*.f64 (-.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x))) (*.f64 -1 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 (-.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2)))))) (pow.f64 (-.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1) 2))
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (*.f64 (-.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2)) (*.f64 -1/3 (*.f64 (-.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (pow.f64 x 3))) (*.f64 -1 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 (-.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2))))))) (pow.f64 (-.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1) 2))
(-.f64 1 (pow.f64 (-.f64 (exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 1) 2))
(-.f64 1 (pow.f64 (-.f64 (exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 1) 2))
(-.f64 1 (pow.f64 (-.f64 (exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 1) 2))
(-.f64 1 (pow.f64 (-.f64 (exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 1) 2))
(-.f64 1 (pow.f64 (-.f64 (exp.f64 (+.f64 (*.f64 -1 x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) 1) 2))
(-.f64 1 (pow.f64 (-.f64 (exp.f64 (+.f64 (*.f64 -1 x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) 1) 2))
(-.f64 1 (pow.f64 (-.f64 (exp.f64 (+.f64 (*.f64 -1 x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) 1) 2))
(-.f64 1 (pow.f64 (-.f64 (exp.f64 (+.f64 (*.f64 -1 x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) 1) 2))
Outputs
(-.f64 1 (pow.f64 (-.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1) 2))
(-.f64 1 (pow.f64 (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1) 2))
(-.f64 (+.f64 1 (*.f64 2 (*.f64 (-.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))) (pow.f64 (-.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1) 2))
(+.f64 1 (-.f64 (*.f64 2 (*.f64 (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1) (*.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (pow.f64 (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1) 2)))
(-.f64 (fma.f64 2 (*.f64 x (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1))) 1) (pow.f64 (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1) 2))
(-.f64 (fma.f64 (*.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2 -2) 1) (pow.f64 (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1) 2))
(-.f64 (fma.f64 (*.f64 x (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2 -2)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1) (pow.f64 (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1) 2))
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (*.f64 (-.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x))) (*.f64 -1 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 (-.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2)))))) (pow.f64 (-.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1) 2))
(-.f64 (+.f64 1 (fma.f64 2 (*.f64 (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1) (*.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (neg.f64 (*.f64 (*.f64 x x) (fma.f64 (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2)))))) (pow.f64 (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1) 2))
(-.f64 (-.f64 (fma.f64 2 (*.f64 x (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1))) 1) (*.f64 (*.f64 x x) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))) (pow.f64 (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1) 2))
(+.f64 (-.f64 1 (pow.f64 (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1) 2)) (*.f64 x (-.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2 -2)) (*.f64 (*.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1))))))
(+.f64 (-.f64 1 (pow.f64 (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1) 2)) (*.f64 x (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2 -2) (*.f64 x (+.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2)))))))
(-.f64 (+.f64 1 (+.f64 (*.f64 2 (*.f64 (-.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2)) (*.f64 -1/3 (*.f64 (-.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (pow.f64 x 3))) (*.f64 -1 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 (-.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2))))))) (pow.f64 (-.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1) 2))
(+.f64 1 (-.f64 (fma.f64 2 (*.f64 (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1) (*.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (fma.f64 -1 (*.f64 (fma.f64 -1 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2) (*.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1)) -1/3)) (pow.f64 x 3)) (neg.f64 (*.f64 (*.f64 x x) (fma.f64 (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2)))))) (pow.f64 (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1) 2)))
(+.f64 1 (-.f64 (fma.f64 2 (*.f64 x (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1))) (neg.f64 (fma.f64 (-.f64 (*.f64 (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1/3)) (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2)) (pow.f64 x 3) (*.f64 (*.f64 x x) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))))) (pow.f64 (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1) 2)))
(-.f64 (-.f64 (fma.f64 (*.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2 -2) 1) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1/3 1/3) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1)))))) (pow.f64 (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1) 2))
(+.f64 (-.f64 1 (pow.f64 (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1) 2)) (fma.f64 (pow.f64 x 3) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1/3 1/3))) (*.f64 x (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2 -2) (*.f64 x (+.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2))))))))
(-.f64 1 (pow.f64 (-.f64 (exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 1) 2))
(-.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2))
(-.f64 1 (pow.f64 (-.f64 (exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 1) 2))
(-.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2))
(-.f64 1 (pow.f64 (-.f64 (exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 1) 2))
(-.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2))
(-.f64 1 (pow.f64 (-.f64 (exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 1) 2))
(-.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2))
(-.f64 1 (pow.f64 (-.f64 (exp.f64 (+.f64 (*.f64 -1 x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) 1) 2))
(-.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2))
(-.f64 1 (pow.f64 (-.f64 (exp.f64 (+.f64 (*.f64 -1 x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) 1) 2))
(-.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2))
(-.f64 1 (pow.f64 (-.f64 (exp.f64 (+.f64 (*.f64 -1 x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) 1) 2))
(-.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2))
(-.f64 1 (pow.f64 (-.f64 (exp.f64 (+.f64 (*.f64 -1 x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) 1) 2))
(-.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2))

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
4.1b
(fmod.f64 (exp.f64 x) 1)
Compiler

Compiled 20 to 12 computations (40% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
0.0ms
x
@inf
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
0.0ms
x
@-inf
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))

rewrite50.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
685×pow1_binary64
633×add-log-exp_binary64
633×log1p-expm1-u_binary64
633×expm1-log1p-u_binary64
620×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0712
113812
2168812
Stop Event
1×node limit
Counts
1 → 19
Calls
Call 1
Inputs
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 (neg.f64 x) (fmod.f64 (exp.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 (fmod.f64 (exp.f64 x) 1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) (fmod.f64 (exp.f64 x) 1)) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) (fmod.f64 (exp.f64 x) 1)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 (*.f64 x x))) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1 x)) (fmod.f64 (exp.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fmod.f64 (exp.f64 x) 1) 3) (pow.f64 (-.f64 1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (fmod.f64 (exp.f64 x) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))))))))

simplify80.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
572×unswap-sqr_binary64
363×times-frac_binary64
323×fma-def_binary64
315×*-commutative_binary64
314×associate-/l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
09190
118181
233154
348145
465136
5129136
6253136
7360136
8458136
9544136
10568136
11643136
12863136
131770136
144576136
156444136
167925136
Stop Event
1×node limit
Counts
31 → 24
Calls
Call 1
Inputs
(fmod.f64 (exp.f64 x) 1)
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) x)) (fmod.f64 (exp.f64 x) 1))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) x)) (fmod.f64 (exp.f64 x) 1))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) x)) (fmod.f64 (exp.f64 x) 1))
(*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) x))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) x)) (fmod.f64 (exp.f64 x) 1))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) x)) (fmod.f64 (exp.f64 x) 1))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) x)) (fmod.f64 (exp.f64 x) 1))
(*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) x))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) x)) (fmod.f64 (exp.f64 x) 1))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) x)) (fmod.f64 (exp.f64 x) 1))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) x)) (fmod.f64 (exp.f64 x) 1))
Outputs
(fmod.f64 (exp.f64 x) 1)
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) x)) (fmod.f64 (exp.f64 x) 1))
(fma.f64 -1 (*.f64 x (fmod.f64 (exp.f64 x) 1)) (fmod.f64 (exp.f64 x) 1))
(-.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 x (fmod.f64 (exp.f64 x) 1)))
(*.f64 (+.f64 (neg.f64 x) 1) (fmod.f64 (exp.f64 x) 1))
(*.f64 (fmod.f64 (exp.f64 x) 1) (fma.f64 x -1 1))
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) x)) (fmod.f64 (exp.f64 x) 1))
(fma.f64 -1 (*.f64 x (fmod.f64 (exp.f64 x) 1)) (fmod.f64 (exp.f64 x) 1))
(-.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 x (fmod.f64 (exp.f64 x) 1)))
(*.f64 (+.f64 (neg.f64 x) 1) (fmod.f64 (exp.f64 x) 1))
(*.f64 (fmod.f64 (exp.f64 x) 1) (fma.f64 x -1 1))
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) x)) (fmod.f64 (exp.f64 x) 1))
(fma.f64 -1 (*.f64 x (fmod.f64 (exp.f64 x) 1)) (fmod.f64 (exp.f64 x) 1))
(-.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 x (fmod.f64 (exp.f64 x) 1)))
(*.f64 (+.f64 (neg.f64 x) 1) (fmod.f64 (exp.f64 x) 1))
(*.f64 (fmod.f64 (exp.f64 x) 1) (fma.f64 x -1 1))
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
(*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) x))
(neg.f64 (*.f64 x (fmod.f64 (exp.f64 x) 1)))
(*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) 1)))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) x)) (fmod.f64 (exp.f64 x) 1))
(fma.f64 -1 (*.f64 x (fmod.f64 (exp.f64 x) 1)) (fmod.f64 (exp.f64 x) 1))
(-.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 x (fmod.f64 (exp.f64 x) 1)))
(*.f64 (+.f64 (neg.f64 x) 1) (fmod.f64 (exp.f64 x) 1))
(*.f64 (fmod.f64 (exp.f64 x) 1) (fma.f64 x -1 1))
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) x)) (fmod.f64 (exp.f64 x) 1))
(fma.f64 -1 (*.f64 x (fmod.f64 (exp.f64 x) 1)) (fmod.f64 (exp.f64 x) 1))
(-.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 x (fmod.f64 (exp.f64 x) 1)))
(*.f64 (+.f64 (neg.f64 x) 1) (fmod.f64 (exp.f64 x) 1))
(*.f64 (fmod.f64 (exp.f64 x) 1) (fma.f64 x -1 1))
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) x)) (fmod.f64 (exp.f64 x) 1))
(fma.f64 -1 (*.f64 x (fmod.f64 (exp.f64 x) 1)) (fmod.f64 (exp.f64 x) 1))
(-.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 x (fmod.f64 (exp.f64 x) 1)))
(*.f64 (+.f64 (neg.f64 x) 1) (fmod.f64 (exp.f64 x) 1))
(*.f64 (fmod.f64 (exp.f64 x) 1) (fma.f64 x -1 1))
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
(*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) x))
(neg.f64 (*.f64 x (fmod.f64 (exp.f64 x) 1)))
(*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) 1)))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) x)) (fmod.f64 (exp.f64 x) 1))
(fma.f64 -1 (*.f64 x (fmod.f64 (exp.f64 x) 1)) (fmod.f64 (exp.f64 x) 1))
(-.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 x (fmod.f64 (exp.f64 x) 1)))
(*.f64 (+.f64 (neg.f64 x) 1) (fmod.f64 (exp.f64 x) 1))
(*.f64 (fmod.f64 (exp.f64 x) 1) (fma.f64 x -1 1))
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) x)) (fmod.f64 (exp.f64 x) 1))
(fma.f64 -1 (*.f64 x (fmod.f64 (exp.f64 x) 1)) (fmod.f64 (exp.f64 x) 1))
(-.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 x (fmod.f64 (exp.f64 x) 1)))
(*.f64 (+.f64 (neg.f64 x) 1) (fmod.f64 (exp.f64 x) 1))
(*.f64 (fmod.f64 (exp.f64 x) 1) (fma.f64 x -1 1))
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) x)) (fmod.f64 (exp.f64 x) 1))
(fma.f64 -1 (*.f64 x (fmod.f64 (exp.f64 x) 1)) (fmod.f64 (exp.f64 x) 1))
(-.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 x (fmod.f64 (exp.f64 x) 1)))
(*.f64 (+.f64 (neg.f64 x) 1) (fmod.f64 (exp.f64 x) 1))
(*.f64 (fmod.f64 (exp.f64 x) 1) (fma.f64 x -1 1))
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))

localize16.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.5b
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4))) (exp.f64 x))
✓48.1b
(fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4)))
Compiler

Compiled 32 to 17 computations (46.9% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4))) (exp.f64 x))
1.0ms
x
@-inf
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4))) (exp.f64 x))
1.0ms
x
@inf
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4))) (exp.f64 x))
0.0ms
x
@0
(fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4)))
0.0ms
x
@inf
(fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4)))

rewrite80.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
799×pow1_binary64
739×add-log-exp_binary64
739×log1p-expm1-u_binary64
739×expm1-log1p-u_binary64
723×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0829
116229
2200029
Stop Event
1×node limit
Counts
2 → 47
Calls
Call 1
Inputs
(fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4)))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4))) (exp.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4)))) (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4)))) 2) (cbrt.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4)))) (sqrt.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4))) (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4))) (exp.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4))) (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4))) (exp.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4))) (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4))) (exp.f64 x))) 2) (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4))) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4)))) 2) (*.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4)))) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4))) (exp.f64 x))) (sqrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4))) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4)))) (*.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4)))) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4)))) (/.f64 1 (neg.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4)))) 2) 1) (/.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4)))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4)))) 1) (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4)))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4))) (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4)))) 2) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4))) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4)))) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4)))) (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (exp.f64 x))) (/.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4))) (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4)))) 2) (sqrt.f64 (exp.f64 x))) (/.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4)))) (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4))) (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4))) (exp.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4))) (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4))) (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4))) (neg.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4))) (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4))) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4))) (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4))) 3) (pow.f64 (exp.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4))) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4))) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4)))) x))))))

simplify45.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
688×fma-neg_binary64
660×distribute-rgt-in_binary64
609×distribute-lft-in_binary64
407×associate--r+_binary64
282×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
034486
1100461
2352411
32062385
Stop Event
1×node limit
Counts
71 → 57
Calls
Call 1
Inputs
(fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2)))
(fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2)))
(fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2)))
(fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2)))
(fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2)))
(fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2)))
(fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2)))
(fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2)))
(fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2)))
(fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2)))
(fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2)))
(fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2)))
(fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2))) x)) (fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2))))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2))) x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2)))) (*.f64 1/2 (fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2))))) (pow.f64 x 2))) (fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2)))))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2))) x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2)))) (+.f64 (*.f64 1/6 (fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2)))) (*.f64 -1 (+.f64 (*.f64 -1 (fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2)))) (*.f64 1/2 (fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2)))))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2)))) (*.f64 1/2 (fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2))))) (pow.f64 x 2))) (fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2))))))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2))) (exp.f64 x))
Outputs
(fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2)))
(fmod.f64 (exp.f64 x) (*.f64 -1/4 (*.f64 x x)))
(fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4)))
(fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2)))
(fmod.f64 (exp.f64 x) (*.f64 -1/4 (*.f64 x x)))
(fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4)))
(fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2)))
(fmod.f64 (exp.f64 x) (*.f64 -1/4 (*.f64 x x)))
(fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4)))
(fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2)))
(fmod.f64 (exp.f64 x) (*.f64 -1/4 (*.f64 x x)))
(fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4)))
(fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2)))
(fmod.f64 (exp.f64 x) (*.f64 -1/4 (*.f64 x x)))
(fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4)))
(fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2)))
(fmod.f64 (exp.f64 x) (*.f64 -1/4 (*.f64 x x)))
(fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4)))
(fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2)))
(fmod.f64 (exp.f64 x) (*.f64 -1/4 (*.f64 x x)))
(fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4)))
(fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2)))
(fmod.f64 (exp.f64 x) (*.f64 -1/4 (*.f64 x x)))
(fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4)))
(fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2)))
(fmod.f64 (exp.f64 x) (*.f64 -1/4 (*.f64 x x)))
(fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4)))
(fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2)))
(fmod.f64 (exp.f64 x) (*.f64 -1/4 (*.f64 x x)))
(fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4)))
(fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2)))
(fmod.f64 (exp.f64 x) (*.f64 -1/4 (*.f64 x x)))
(fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4)))
(fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2)))
(fmod.f64 (exp.f64 x) (*.f64 -1/4 (*.f64 x x)))
(fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4)))
(fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2)))
(fmod.f64 (exp.f64 x) (*.f64 -1/4 (*.f64 x x)))
(fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4)))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2))) x)) (fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2))))
(fma.f64 -1 (*.f64 x (fmod.f64 (exp.f64 x) (*.f64 -1/4 (*.f64 x x)))) (fmod.f64 (exp.f64 x) (*.f64 -1/4 (*.f64 x x))))
(-.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4))) (*.f64 x (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4)))))
(*.f64 (+.f64 (neg.f64 x) 1) (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4))))
(*.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4))) (-.f64 1 x))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2))) x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2)))) (*.f64 1/2 (fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2))))) (pow.f64 x 2))) (fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2)))))
(fma.f64 -1 (*.f64 x (fmod.f64 (exp.f64 x) (*.f64 -1/4 (*.f64 x x)))) (fma.f64 -1 (*.f64 (*.f64 x x) (*.f64 (fmod.f64 (exp.f64 x) (*.f64 -1/4 (*.f64 x x))) -1/2)) (fmod.f64 (exp.f64 x) (*.f64 -1/4 (*.f64 x x)))))
(-.f64 (fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4))) 1/2) (*.f64 x x) (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4)))) (*.f64 x (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4)))))
(-.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4))) (*.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4))) (+.f64 x (*.f64 (*.f64 -1/2 x) x))))
(*.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4))) (-.f64 1 (+.f64 x (*.f64 (*.f64 -1/2 x) x))))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2))) x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2)))) (+.f64 (*.f64 1/6 (fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2)))) (*.f64 -1 (+.f64 (*.f64 -1 (fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2)))) (*.f64 1/2 (fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2)))))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2)))) (*.f64 1/2 (fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2))))) (pow.f64 x 2))) (fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2))))))
(fma.f64 -1 (*.f64 x (fmod.f64 (exp.f64 x) (*.f64 -1/4 (*.f64 x x)))) (fma.f64 -1 (*.f64 (fma.f64 -1/2 (fmod.f64 (exp.f64 x) (*.f64 -1/4 (*.f64 x x))) (fma.f64 1/6 (fmod.f64 (exp.f64 x) (*.f64 -1/4 (*.f64 x x))) (neg.f64 (*.f64 (fmod.f64 (exp.f64 x) (*.f64 -1/4 (*.f64 x x))) -1/2)))) (pow.f64 x 3)) (fma.f64 -1 (*.f64 (*.f64 x x) (*.f64 (fmod.f64 (exp.f64 x) (*.f64 -1/4 (*.f64 x x))) -1/2)) (fmod.f64 (exp.f64 x) (*.f64 -1/4 (*.f64 x x))))))
(-.f64 (-.f64 (fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4))) 1/2) (*.f64 x x) (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4)))) (*.f64 (+.f64 (*.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4))) 1/2) (*.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4))) -1/3)) (pow.f64 x 3))) (*.f64 x (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4)))))
(fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4))) 1/6) (neg.f64 (pow.f64 x 3)) (-.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4))) (*.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4))) (+.f64 x (*.f64 (*.f64 -1/2 x) x)))))
(fma.f64 (pow.f64 x 3) (*.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4))) -1/6) (*.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4))) (-.f64 1 (+.f64 x (*.f64 (*.f64 -1/2 x) x)))))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 -1/4 (*.f64 x x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 -1/4 (*.f64 x x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 -1/4 (*.f64 x x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 -1/4 (*.f64 x x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 -1/4 (*.f64 x x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 -1/4 (*.f64 x x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 -1/4 (*.f64 x x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 -1/4 (*.f64 x x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4))) (exp.f64 x))

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(pow.f64 (fmod.f64 (exp.f64 x) 1) 3)
✓0.2b
(pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) 1) 3) 1/3)
4.1b
(fmod.f64 (exp.f64 x) 1)
Compiler

Compiled 25 to 17 computations (32% saved)

series13.0ms (0.1%)

Counts
2 → 12
Calls

6 calls:

TimeVariablePointExpression
8.0ms
x
@inf
(pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) 1) 3) 1/3)
2.0ms
x
@-inf
(pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) 1) 3) 1/3)
2.0ms
x
@0
(pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) 1) 3) 1/3)
0.0ms
x
@0
(pow.f64 (fmod.f64 (exp.f64 x) 1) 3)
0.0ms
x
@inf
(pow.f64 (fmod.f64 (exp.f64 x) 1) 3)

rewrite58.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
606×pow1_binary64
571×add-log-exp_binary64
570×log1p-expm1-u_binary64
570×expm1-log1p-u_binary64
557×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0915
118515
2164015
Stop Event
1×node limit
Counts
2 → 36
Calls
Call 1
Inputs
(pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) 1) 3) 1/3)
(pow.f64 (fmod.f64 (exp.f64 x) 1) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fmod.f64 (exp.f64 x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fmod.f64 (exp.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fmod.f64 (exp.f64 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) 1)) (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) 1)) (pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) 1) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) 1)) 2) (cbrt.f64 (fmod.f64 (exp.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) 1)) (sqrt.f64 (fmod.f64 (exp.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (fmod.f64 (exp.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) 1) 2) 1/3) (cbrt.f64 (fmod.f64 (exp.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) 1) 3/2) 1/3) (pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) 1) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fmod.f64 (exp.f64 x) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fmod.f64 (exp.f64 x) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fmod.f64 (exp.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fmod.f64 (exp.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fmod.f64 (exp.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (fmod.f64 (exp.f64 x) 1) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (fmod.f64 (exp.f64 x) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fmod.f64 (exp.f64 x) 1) (pow.f64 (fmod.f64 (exp.f64 x) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fmod.f64 (exp.f64 x) 1) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fmod.f64 (exp.f64 x) 1) 2) (fmod.f64 (exp.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) 1)) 2) (*.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) 1)) (pow.f64 (fmod.f64 (exp.f64 x) 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) 1)) (*.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) 1)) (pow.f64 (fmod.f64 (exp.f64 x) 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fmod.f64 (exp.f64 x) 1) 3/2) (pow.f64 (fmod.f64 (exp.f64 x) 1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) 1)) 2) 3) (fmod.f64 (exp.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) 1)) 3) (pow.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (fmod.f64 (exp.f64 x) 1) 2) 1) (fmod.f64 (exp.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (fmod.f64 (exp.f64 x) 1) 2) (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) 1)) 2)) (cbrt.f64 (fmod.f64 (exp.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (fmod.f64 (exp.f64 x) 1) 2) (sqrt.f64 (fmod.f64 (exp.f64 x) 1))) (sqrt.f64 (fmod.f64 (exp.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fmod.f64 (exp.f64 x) 1) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (fmod.f64 (exp.f64 x) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) 1) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (fmod.f64 (exp.f64 x) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (fmod.f64 (exp.f64 x) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (fmod.f64 (exp.f64 x) 1))))))))

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0572
1772
Stop Event
1×saturated
Counts
48 → 36
Calls
Call 1
Inputs
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
Outputs
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 (*.f64 x x) -1/4 1)
✓0.5b
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 (neg.f64 x)))
4.1b
(fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))
Compiler

Compiled 42 to 19 computations (54.8% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 (neg.f64 x)))
1.0ms
x
@inf
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 (neg.f64 x)))
1.0ms
x
@-inf
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 (neg.f64 x)))

rewrite49.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
750×pow1_binary64
693×add-log-exp_binary64
691×log1p-expm1-u_binary64
691×expm1-log1p-u_binary64
677×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01120
120818
2237818
Stop Event
1×node limit
Counts
1 → 14
Calls
Call 1
Inputs
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 (neg.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (exp.f64 x)) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) 3) (pow.f64 (exp.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 x (log.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)))))))))

simplify56.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
845×distribute-rgt-neg-in_binary64
691×distribute-lft-neg-in_binary64
596×fma-neg_binary64
529×cancel-sign-sub-inv_binary64
473×fma-def_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
032340
180336
2186272
3566248
42386236
56126236
Stop Event
1×node limit
Counts
26 → 25
Calls
Call 1
Inputs
(fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1))
(+.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) x)))
(+.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) (+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) x)) (*.f64 1/2 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) (pow.f64 x 2)))))
(+.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) (+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) x)) (+.f64 (*.f64 -1/6 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) (pow.f64 x 2))))))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) (exp.f64 (*.f64 -1 x)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) (exp.f64 (*.f64 -1 x)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) (exp.f64 (*.f64 -1 x)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) (exp.f64 (*.f64 -1 x)))
Outputs
(fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1))
(fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))
(+.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) x)))
(+.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (neg.f64 (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)))))
(-.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))))
(*.f64 (+.f64 (neg.f64 x) 1) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (-.f64 1 x))
(+.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) (+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) x)) (*.f64 1/2 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) (pow.f64 x 2)))))
(+.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (fma.f64 -1 (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))) (*.f64 1/2 (*.f64 (*.f64 x x) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))))))
(+.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (-.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (*.f64 (*.f64 x x) 1/2)) (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)))))
(+.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (-.f64 (*.f64 (*.f64 x x) 1/2) x)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (+.f64 1 (*.f64 x (fma.f64 x 1/2 -1))))
(+.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) (+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) x)) (+.f64 (*.f64 -1/6 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) (pow.f64 x 2))))))
(+.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (fma.f64 -1 (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))) (fma.f64 -1/6 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (pow.f64 x 3)) (*.f64 1/2 (*.f64 (*.f64 x x) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)))))))
(+.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (-.f64 (fma.f64 -1/6 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (pow.f64 x 3)) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (*.f64 (*.f64 x x) 1/2))) (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)))))
(+.f64 (*.f64 (+.f64 (neg.f64 x) 1) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (+.f64 (*.f64 (*.f64 x x) 1/2) (*.f64 -1/6 (pow.f64 x 3)))))
(+.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (-.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x -1/6) 1/2)) x)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (+.f64 (-.f64 1 x) (*.f64 x (*.f64 x (+.f64 1/2 (*.f64 x -1/6))))))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) (exp.f64 (*.f64 -1 x)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) (exp.f64 (*.f64 -1 x)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) (exp.f64 (*.f64 -1 x)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) (exp.f64 (*.f64 -1 x)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x))

eval168.0ms (1.2%)

Compiler

Compiled 10808 to 4515 computations (58.2% saved)

prune100.0ms (0.7%)

Pruning

28 alts after pruning (19 fresh and 9 done)

PrunedKeptTotal
New41314427
Fresh257
Picked101
Done2911
Total41828446
Error
23.8b
Counts
446 → 28
Alt Table
Click to see full alt table
StatusErrorProgram
60.6b
(exp.f64 (-.f64 (log.f64 (log.f64 (exp.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) x))
60.3b
(/.f64 (fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2))) 2) (cbrt.f64 (neg.f64 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2))) 1) (-.f64 1 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))))
60.5b
(exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) x))
60.8b
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 (+.f64 x (*.f64 (*.f64 x x) -1/2))))
62.2b
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2))) (exp.f64 x))
✓61.0b
(fmod.f64 (exp.f64 x) 1)
✓60.5b
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 (*.f64 (*.f64 x x) -1/4) 1)) (exp.f64 x))
60.8b
(*.f64 (log.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1))) (-.f64 1 x))
62.4b
(*.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4))) (-.f64 1 x))
60.8b
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 (*.f64 x x))) (+.f64 x 1))
60.5b
(*.f64 (fmod.f64 (exp.f64 x) (+.f64 (*.f64 (*.f64 x x) -1/4) 1)) (exp.f64 (neg.f64 x)))
✓60.4b
(/.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (/.f64 (exp.f64 x) (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
60.3b
(/.f64 (/.f64 (-.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 4)) (+.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2))) (-.f64 1 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))))
61.0b
(pow.f64 (exp.f64 (*.f64 3 (log.f64 (fmod.f64 (exp.f64 x) 1)))) 1/3)
60.3b
(/.f64 (/.f64 (-.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 6)) (+.f64 1 (+.f64 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2) (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 4)))) (-.f64 1 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))))
✓25.1b
(exp.f64 (neg.f64 x))
57.2b
(/.f64 (-.f64 1 (pow.f64 (expm1.f64 (neg.f64 x)) 2)) (-.f64 1 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))))
61.1b
(pow.f64 (pow.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x)) 3) 1/3)
60.4b
(fma.f64 (+.f64 (sqrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 1) (-.f64 (sqrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 1) 1)
✓60.8b
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
✓61.0b
(pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) 1) 3) 1/3)
61.8b
(*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) 1)))
✓60.5b
(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))
60.3b
(/.f64 (*.f64 (-.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 6)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2) (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 4))))) (-.f64 1 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))))
✓60.8b
(/.f64 (log.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1))) (exp.f64 x))
✓60.4b
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
60.4b
(/.f64 1 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
61.0b
(exp.f64 (+.f64 x (log.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)))))
Compiler

Compiled 506 to 302 computations (40.3% saved)

regimes42.0ms (0.3%)

Accuracy

Total -37.9b remaining (-151%)

Threshold costs -37.9b (-151%)

Counts
41 → 1
Calls
Call 1
Inputs
(exp.f64 (neg.f64 x))
(fmod.f64 (exp.f64 x) 1)
(*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) 1)))
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
(*.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4))) (-.f64 1 x))
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 (*.f64 x x))) (+.f64 x 1))
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 (+.f64 x (*.f64 (*.f64 x x) -1/2))))
(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 (*.f64 (*.f64 x x) -1/4) 1)) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) (+.f64 (*.f64 (*.f64 x x) -1/4) 1)) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) 1) 3) 1/3)
(exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) x))
(*.f64 (log.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1))) (-.f64 1 x))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 -1/4 (pow.f64 x 2))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 (neg.f64 x)))
(/.f64 (log.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(pow.f64 (exp.f64 (*.f64 3 (log.f64 (fmod.f64 (exp.f64 x) 1)))) 1/3)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 1 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(exp.f64 (+.f64 x (log.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)))))
(-.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 1)
(pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 3) 1/3)
(exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))
(pow.f64 (pow.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x)) 3) 1/3)
(/.f64 (log.f64 (exp.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (exp.f64 x))
(exp.f64 (-.f64 (log.f64 (log.f64 (exp.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) x))
(/.f64 (-.f64 1 (pow.f64 (expm1.f64 (neg.f64 x)) 2)) (-.f64 1 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))))
(/.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (/.f64 (exp.f64 x) (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 1) (-.f64 (sqrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 1) 1)
(/.f64 (-.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2)) (-.f64 1 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))))
(/.f64 (+.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 3)) (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2) (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 4)) (+.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2))) (-.f64 1 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))))
(/.f64 (fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2))) 2) (cbrt.f64 (neg.f64 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2))) 1) (-.f64 1 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 6)) (+.f64 1 (+.f64 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2) (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 4)))) (-.f64 1 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 6)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2) (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 4))))) (-.f64 1 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))))
Outputs
(exp.f64 (neg.f64 x))
Calls

2 calls:

24.0ms
x
5.0ms
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Results
ErrorSegmentsBranch
25.1b1x
25.1b1(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Compiler

Compiled 674 to 264 computations (60.8% saved)

simplify2.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
045
185
2105
3115
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(exp.f64 (neg.f64 x))
Outputs
(exp.f64 (neg.f64 x))
Compiler

Compiled 4 to 3 computations (25% saved)

soundness241.0ms (1.8%)

Algorithm
2×egg-herbie
Rules
924×unswap-sqr_binary64
777×distribute-rgt-neg-in_binary64
661×distribute-lft-neg-in_binary64
522×cancel-sign-sub-inv_binary64
459×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0917
11617
22615
33915
46315
512015
628115
773515
8117615
9313115
10503115
11577015
12710615
027382
172363
2180325
3556303
42104293
55550293
Stop Event
1×node limit
1×node limit
Compiler

Compiled 52 to 35 computations (32.7% saved)

end18.0ms (0.1%)

Compiler

Compiled 4 to 3 computations (25% saved)

Profiling

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