Details

Time bar (total: 14.4s)

analyze319.0ms (2.2%)

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

Compiled 12 to 9 computations (25% saved)

sample10.7s (74.3%)

Results
4.6s1687×body8192exit
3.1s4149×body1024valid
967.0ms2048×body512valid
870.0ms1664×body1024invalid
440.0ms1889×body256valid
261.0ms818×body512invalid
201.0ms897×body256invalid
188.0ms170×body2048valid

preprocess83.0ms (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)

simplify95.0ms (0.7%)

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
60.3b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶60.3b
(/.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
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
✓0.0b
(sqrt.f64 (cos.f64 x))
✓3.0b
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
Compiler

Compiled 24 to 6 computations (75% saved)

series59.0ms (0.4%)

Counts
3 → 8
Calls

9 calls:

TimeVariablePointExpression
55.0ms
x
@inf
(sqrt.f64 (cos.f64 x))
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
@0
(sqrt.f64 (cos.f64 x))

rewrite60.0ms (0.4%)

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)))
(sqrt.f64 (cos.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.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 (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))))))))
((#(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))))))

simplify40.0ms (0.3%)

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

Useful iterations: 3 (0.0ms)

IterNodesCost
048225
1129207
2423169
32282147
Stop Event
1×node limit
Counts
75 → 81
Calls
Call 1
Inputs
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)))))
(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)))))
Outputs
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)
(+.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 (fma.f64 -1/4 (*.f64 x x) 1) (*.f64 -1/96 (pow.f64 x 4)))
(fma.f64 -1/4 (*.f64 x x) (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 -1/4 (*.f64 x x) 1) (fma.f64 -19/5760 (pow.f64 x 6) (*.f64 -1/96 (pow.f64 x 4))))
(+.f64 (fma.f64 -1/4 (*.f64 x x) 1) (fma.f64 -1/96 (pow.f64 x 4) (*.f64 -19/5760 (pow.f64 x 6))))
(+.f64 (fma.f64 -19/5760 (pow.f64 x 6) (*.f64 -1/4 (*.f64 x x))) (fma.f64 -1/96 (pow.f64 x 4) 1))
(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 (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 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 (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 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 (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 (*.f64 x x) 1/2) (*.f64 (pow.f64 x 3) 1/6))))

eval16.0ms (0.1%)

Compiler

Compiled 1258 to 411 computations (67.3% saved)

prune21.0ms (0.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New75681
Fresh000
Picked101
Done000
Total76682
Error
60.2b
Counts
82 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
▶60.3b
(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))
60.4b
(/.f64 (log.f64 (exp.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (exp.f64 x))
▶60.7b
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
▶61.0b
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
▶60.2b
(-.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))
Compiler

Compiled 126 to 88 computations (30.2% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
0.0b
(sqrt.f64 (cos.f64 x))
✓1.5b
(-.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 1)
3.0b
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
Compiler

Compiled 49 to 13 computations (73.5% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite67.0ms (0.5%)

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
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(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 1) 1)))))

simplify47.0ms (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))

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))
✓3.0b
(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)

rewrite102.0ms (0.7%)

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))))))

simplify54.0ms (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)))))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (cos.f64 x))
3.0b
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
Compiler

Compiled 15 to 5 computations (66.7% saved)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
0.0b
(sqrt.f64 (cos.f64 x))
3.0b
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
Compiler

Compiled 29 to 11 computations (62.1% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite49.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0916
117716
2212916
Stop Event
1×node limit
Counts
1 → 19
Calls
Call 1
Inputs
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (neg.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (+.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) (sqrt.f64 (cos.f64 x)))) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.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) (sqrt.f64 (cos.f64 x))) (-.f64 1 (*.f64 x x))) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 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))) (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.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) (sqrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 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 (-.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) (sqrt.f64 (cos.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))) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))))))))

simplify108.0ms (0.7%)

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

Useful iterations: 4 (0.0ms)

IterNodesCost
010283
116265
233202
349193
467184
5131184
6255184
7362184
8462184
9549184
10573184
11648184
12868184
131776184
144571184
156437184
167899184
Stop Event
1×node limit
Counts
31 → 24
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 (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 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 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 -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 -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 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 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 -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 -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 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 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))) (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 (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 (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 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x))
(neg.f64 (*.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.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 (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 (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 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x))
(neg.f64 (*.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.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 (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 (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))

localize17.0ms (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))
✓1.1b
(-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)
✓1.3b
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
3.0b
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
Compiler

Compiled 41 to 8 computations (80.5% saved)

series70.0ms (0.5%)

Counts
3 → 20
Calls

9 calls:

TimeVariablePointExpression
32.0ms
x
@0
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
21.0ms
x
@inf
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
14.0ms
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
@0
(-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)

rewrite87.0ms (0.6%)

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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simplify75.0ms (0.5%)

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))

eval135.0ms (0.9%)

Compiler

Compiled 8017 to 2784 computations (65.3% saved)

prune117.0ms (0.8%)

Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New46414478
Fresh011
Picked101
Done314
Total46816484
Error
22.7b
Counts
484 → 16
Alt Table
Click to see full alt table
StatusErrorProgram
✓60.3b
(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))
60.7b
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
▶60.3b
(-.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))) 1)
60.7b
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 1 x))
60.6b
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 (+.f64 x (*.f64 (*.f64 x x) -1/2))))
60.3b
(exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) x))
60.4b
(/.f64 (log.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1))) (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)))))
▶61.0b
(fmod.f64 (exp.f64 x) 1)
▶24.1b
(exp.f64 (neg.f64 x))
▶60.7b
(-.f64 (+.f64 1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))) 1)
▶61.0b
(pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 3) 1/3)
61.0b
(pow.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2)
60.4b
(/.f64 (log.f64 (exp.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (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))))
60.7b
(*.f64 (log.f64 (exp.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (-.f64 1 x))
Compiler

Compiled 424 to 281 computations (33.7% saved)

localize4.0ms (0%)

Compiler

Compiled 7 to 3 computations (57.1% saved)

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
3.0b
(fmod.f64 (exp.f64 x) 1)
Compiler

Compiled 9 to 5 computations (44.4% saved)

localize37.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))
✓1.5b
(-.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))) 1)
3.0b
(fmod.f64 (exp.f64 x) 1)
Compiler

Compiled 36 to 20 computations (44.4% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite58.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
910×pow1_binary64
849×add-log-exp_binary64
849×log1p-expm1-u_binary64
849×expm1-log1p-u_binary64
833×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0817
117611
2253611
Stop Event
1×node limit
Counts
1 → 62
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x)) 0)))) (#(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 1 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) 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 (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 (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 (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 (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 (neg.f64 (fmod.f64 (exp.f64 x) 1)) (/.f64 1 (neg.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))) 2) (+.f64 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x)) 2))))))) (#(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 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))) 2) -1) (/.f64 1 (+.f64 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x)) 2)))))) (#(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 *.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))) 2) (+.f64 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x)) 2)) (+.f64 (pow.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x)) 2) (+.f64 (pow.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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 (exp.f64 x) (cbrt.f64 (fmod.f64 (exp.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) 1)) (/.f64 (exp.f64 x) (sqrt.f64 (fmod.f64 (exp.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fmod.f64 (exp.f64 x) 1)) (neg.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))) 2) (+.f64 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))) 2) -1) (+.f64 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))) 2) -1) (-.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (fmod.f64 (exp.f64 x) 1))) (neg.f64 (neg.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))) 2) (+.f64 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))) 2) -1)) (neg.f64 (+.f64 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fmod.f64 (exp.f64 x) 1) (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) x)) 3)) (+.f64 1 (-.f64 (*.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) x)) (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) x))) (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) x)) (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) x)))) (-.f64 1 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fmod.f64 (exp.f64 x) 1) 1) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fmod.f64 (exp.f64 x) 1) (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) 1) (exp.f64 x)) 1)))) (#(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 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x)) 3) 1/3)))) (#(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))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x)))) 2) (cbrt.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x)))) (sqrt.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x)))) -1)))))

simplify57.0ms (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
034223
199203
2342175
31911162
47946162
Stop Event
1×node limit
Counts
74 → 69
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))))))
(/.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)
(+.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))

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
0.0b
(sqrt.f64 (cos.f64 x))
✓1.7b
(-.f64 (+.f64 1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))) 1)
3.0b
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
Compiler

Compiled 55 to 23 computations (58.2% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite88.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
629×prod-diff_binary64
491×log-prod_binary64
487×fma-def_binary64
282×pow2_binary64
209×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01122
123816
2326916
Stop Event
1×node limit
Counts
1 → 100
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (neg.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 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(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x) 1)) (sqrt.f64 (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x) 1)) (*.f64 (sqrt.f64 (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x) 1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.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)))) (*.f64 (neg.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.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)))) (*.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 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (-.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x) 1) 2) (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x)) 3)) (/.f64 1 (fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x)) (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x) -1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x) 1) 2) -1) (/.f64 1 (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x)) 2)) (/.f64 1 (-.f64 1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x) -1)) 2) (cbrt.f64 (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x) -1)) (sqrt.f64 (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x) 1)) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1) (-.f64 (sqrt.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 x) 2))) (cbrt.f64 (-.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1 x) (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)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (-.f64 1 x) (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 0)))))

simplify87.0ms (0.6%)

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

Useful iterations: 4 (0.0ms)

IterNodesCost
010283
116265
233202
349193
467184
5131184
6255184
7362184
8462184
9549184
10573184
11648184
12868184
131776184
144571184
156437184
167899184
Stop Event
1×node limit
Counts
112 → 104
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 (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 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 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 -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 -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 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 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 -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 -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 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 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))) (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 (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 (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 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x))
(neg.f64 (*.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.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 (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 (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 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x))
(neg.f64 (*.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.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 (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 (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))

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 3)
0.0b
(sqrt.f64 (cos.f64 x))
✓0.1b
(pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 3) 1/3)
3.0b
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
Compiler

Compiled 35 to 13 computations (62.9% saved)

series8.0ms (0.1%)

Counts
2 → 12
Calls

6 calls:

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

rewrite60.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
747×pow1_binary64
700×add-log-exp_binary64
700×log1p-expm1-u_binary64
700×expm1-log1p-u_binary64
681×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01023
121123
2201923
Stop Event
1×node limit
Counts
2 → 36
Calls
Call 1
Inputs
(pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 3) 1/3)
(pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 3)
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)))) (cbrt.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.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 *.f64 (pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2) 1/3) (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 3/2) 1/3) (pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 3/2) 1/3))))) (#(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 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 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.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)))) (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2)))))) (#(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)))) (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 3/2) (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2)) 3) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 3) (pow.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2) 1) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2) (cbrt.f64 (pow.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 (*.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2) (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 sqrt.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))))))

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06120
Stop Event
1×saturated
Counts
48 → 36
Calls
Call 1
Inputs
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
Outputs
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

eval125.0ms (0.9%)

Compiler

Compiled 6808 to 3590 computations (47.3% saved)

prune78.0ms (0.5%)

Pruning

20 alts after pruning (17 fresh and 3 done)

PrunedKeptTotal
New37810388
Fresh3710
Picked101
Done235
Total38420404
Error
22.7b
Counts
404 → 20
Alt Table
Click to see full alt table
StatusErrorProgram
60.3b
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x)))) 1))
✓60.3b
(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))
▶60.7b
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
60.7b
(/.f64 (-.f64 1 (pow.f64 (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x) -1) 2)) (-.f64 1 (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x) -1)))
▶60.7b
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 1 x))
61.0b
(pow.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) 1)) 2)
61.0b
(pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) 1) 3) 1/3)
60.6b
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 (+.f64 x (*.f64 (*.f64 x x) -1/2))))
▶60.3b
(exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) x))
60.7b
(-.f64 (+.f64 1 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))) 1)
60.7b
(*.f64 (log.f64 (exp.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (-.f64 1 x))
✓61.0b
(fmod.f64 (exp.f64 x) 1)
✓24.1b
(exp.f64 (neg.f64 x))
60.7b
(-.f64 (+.f64 1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 1 x))) 1)
60.6b
(-.f64 (+.f64 1 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 (+.f64 x (*.f64 (*.f64 x x) -1/2))))) 1)
60.3b
(/.f64 (+.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) x)) 3)) (+.f64 1 (-.f64 (*.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) x)) (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) x))) (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) x)))))
60.4b
(/.f64 (log.f64 (exp.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (exp.f64 x))
▶61.0b
(pow.f64 (pow.f64 (pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 3) 1/3) 3) 1/3)
▶60.4b
(/.f64 (log.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1))) (exp.f64 x))
61.0b
(pow.f64 (pow.f64 (pow.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) 3) 1/3)
Compiler

Compiled 569 to 432 computations (24.1% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) x))
✓1.1b
(-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) x)
✓1.3b
(log.f64 (fmod.f64 (exp.f64 x) 1))
3.0b
(fmod.f64 (exp.f64 x) 1)
Compiler

Compiled 29 to 17 computations (41.4% saved)

series71.0ms (0.5%)

Counts
3 → 20
Calls

9 calls:

TimeVariablePointExpression
38.0ms
x
@0
(log.f64 (fmod.f64 (exp.f64 x) 1))
18.0ms
x
@-inf
(log.f64 (fmod.f64 (exp.f64 x) 1))
13.0ms
x
@inf
(log.f64 (fmod.f64 (exp.f64 x) 1))
0.0ms
x
@0
(exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) x))
0.0ms
x
@0
(-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) x)

rewrite105.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
783×pow1_binary64
724×add-log-exp_binary64
724×log1p-expm1-u_binary64
724×expm1-log1p-u_binary64
708×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0830
115330
2194130
Stop Event
1×node limit
Counts
3 → 92
Calls
Call 1
Inputs
(log.f64 (fmod.f64 (exp.f64 x) 1))
(-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) x)
(exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (fmod.f64 (exp.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) 1)) 2)) (log.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) 1))) (log.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (fmod.f64 (exp.f64 x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (fmod.f64 (exp.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (fmod.f64 (exp.f64 x) 1))) (pow.f64 (cbrt.f64 (log.f64 (fmod.f64 (exp.f64 x) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (fmod.f64 (exp.f64 x) 1))) 2) (cbrt.f64 (log.f64 (fmod.f64 (exp.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (fmod.f64 (exp.f64 x) 1))) (sqrt.f64 (log.f64 (fmod.f64 (exp.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (fmod.f64 (exp.f64 x) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (fmod.f64 (exp.f64 x) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (fmod.f64 (exp.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (fmod.f64 (exp.f64 x) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (fmod.f64 (exp.f64 x) 1))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) 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) 1)) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (log.f64 (fmod.f64 (exp.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))) 2)) (log.f64 (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x)))) (log.f64 (sqrt.f64 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) x)) (pow.f64 (cbrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) x)) 2) (cbrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) x)) (sqrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) 2) (*.f64 x (+.f64 x (log.f64 (fmod.f64 (exp.f64 x) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (log.f64 (fmod.f64 (exp.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (log.f64 (fmod.f64 (exp.f64 x) 1))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (log.f64 (fmod.f64 (exp.f64 x) 1))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) 2) (*.f64 x (+.f64 x (log.f64 (fmod.f64 (exp.f64 x) 1))))) (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (log.f64 (fmod.f64 (exp.f64 x) 1))) (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) 2) (*.f64 x (+.f64 x (log.f64 (fmod.f64 (exp.f64 x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) 2) (*.f64 x x)) (+.f64 x (log.f64 (fmod.f64 (exp.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) 2) (*.f64 x (+.f64 x (log.f64 (fmod.f64 (exp.f64 x) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) 2) (*.f64 x x))) (neg.f64 (+.f64 x (log.f64 (fmod.f64 (exp.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 (fmod.f64 (exp.f64 x) 1)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 (fmod.f64 (exp.f64 x) 1))) 2) (cbrt.f64 (log.f64 (fmod.f64 (exp.f64 x) 1))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 (fmod.f64 (exp.f64 x) 1))) (sqrt.f64 (log.f64 (fmod.f64 (exp.f64 x) 1))) (neg.f64 x))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) x)))))) (#(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 (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 (/.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 /.f64 1 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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 (exp.f64 x) (cbrt.f64 (fmod.f64 (exp.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) 1)) (/.f64 (exp.f64 x) (sqrt.f64 (fmod.f64 (exp.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fmod.f64 (exp.f64 x) 1)) (neg.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fmod.f64 (exp.f64 x) 1) (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fmod.f64 (exp.f64 x) 1) 1) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fmod.f64 (exp.f64 x) 1) (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) 1) (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) x))))) (#(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 (exp.f64 (sqrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) x))) (sqrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) x)) 2)) (cbrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) 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 cbrt.f64 (/.f64 (pow.f64 (fmod.f64 (exp.f64 x) 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) 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))))))))

simplify61.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
778×distribute-rgt-neg-in_binary64
664×distribute-lft-neg-in_binary64
521×cancel-sign-sub-inv_binary64
478×fma-def_binary64
398×fma-neg_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
028283
176267
2181245
3541227
42095221
55530221
Stop Event
1×node limit
Counts
112 → 106
Calls
Call 1
Inputs
(log.f64 (fmod.f64 (exp.f64 x) 1))
(+.f64 (*.f64 -1 x) (log.f64 (fmod.f64 (exp.f64 x) 1)))
(+.f64 (*.f64 -1 x) (log.f64 (fmod.f64 (exp.f64 x) 1)))
(+.f64 (*.f64 -1 x) (log.f64 (fmod.f64 (exp.f64 x) 1)))
(*.f64 -1 x)
(+.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) (*.f64 -1 x))
(+.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) (*.f64 -1 x))
(+.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) (*.f64 -1 x))
(+.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) (*.f64 -1 x))
(+.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) (*.f64 -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)) (+.f64 (*.f64 1/2 (*.f64 (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 -1/6 (*.f64 (fmod.f64 (exp.f64 x) 1) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (*.f64 (fmod.f64 (exp.f64 x) 1) (pow.f64 x 2))) (fmod.f64 (exp.f64 x) 1))))
(exp.f64 (+.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) (*.f64 -1 x)))
(exp.f64 (+.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) (*.f64 -1 x)))
(exp.f64 (+.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) (*.f64 -1 x)))
(exp.f64 (+.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) (*.f64 -1 x)))
Outputs
(log.f64 (fmod.f64 (exp.f64 x) 1))
(+.f64 (*.f64 -1 x) (log.f64 (fmod.f64 (exp.f64 x) 1)))
(fma.f64 -1 x (log.f64 (fmod.f64 (exp.f64 x) 1)))
(-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) x)
(+.f64 (*.f64 -1 x) (log.f64 (fmod.f64 (exp.f64 x) 1)))
(fma.f64 -1 x (log.f64 (fmod.f64 (exp.f64 x) 1)))
(-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) x)
(+.f64 (*.f64 -1 x) (log.f64 (fmod.f64 (exp.f64 x) 1)))
(fma.f64 -1 x (log.f64 (fmod.f64 (exp.f64 x) 1)))
(-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) (*.f64 -1 x))
(fma.f64 -1 x (log.f64 (fmod.f64 (exp.f64 x) 1)))
(-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) x)
(+.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) (*.f64 -1 x))
(fma.f64 -1 x (log.f64 (fmod.f64 (exp.f64 x) 1)))
(-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) x)
(+.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) (*.f64 -1 x))
(fma.f64 -1 x (log.f64 (fmod.f64 (exp.f64 x) 1)))
(-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) (*.f64 -1 x))
(fma.f64 -1 x (log.f64 (fmod.f64 (exp.f64 x) 1)))
(-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) x)
(+.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) (*.f64 -1 x))
(fma.f64 -1 x (log.f64 (fmod.f64 (exp.f64 x) 1)))
(-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) x)
(+.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) (*.f64 -1 x))
(fma.f64 -1 x (log.f64 (fmod.f64 (exp.f64 x) 1)))
(-.f64 (log.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))
(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)) (+.f64 (*.f64 1/2 (*.f64 (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 1/2 (*.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 x x)) (fmod.f64 (exp.f64 x) 1)))
(fma.f64 (neg.f64 (fmod.f64 (exp.f64 x) 1)) x (fma.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) 1/2) (*.f64 x x) (fmod.f64 (exp.f64 x) 1)))
(+.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 (neg.f64 x) (*.f64 x (*.f64 x 1/2)))))
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) x)) (+.f64 (*.f64 -1/6 (*.f64 (fmod.f64 (exp.f64 x) 1) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (*.f64 (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 -1/6 (*.f64 (fmod.f64 (exp.f64 x) 1) (pow.f64 x 3)) (fma.f64 1/2 (*.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 x x)) (fmod.f64 (exp.f64 x) 1))))
(fma.f64 (neg.f64 (fmod.f64 (exp.f64 x) 1)) x (fma.f64 -1/6 (*.f64 (fmod.f64 (exp.f64 x) 1) (pow.f64 x 3)) (fma.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) 1/2) (*.f64 x x) (fmod.f64 (exp.f64 x) 1))))
(+.f64 (*.f64 (+.f64 (neg.f64 x) 1) (fmod.f64 (exp.f64 x) 1)) (*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 -1/6 (pow.f64 x 3)))))
(+.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x -1/6) 1/2)) x)))
(*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6)))))
(exp.f64 (+.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) (*.f64 -1 x)))
(exp.f64 (fma.f64 -1 x (log.f64 (fmod.f64 (exp.f64 x) 1))))
(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))
(exp.f64 (+.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) (*.f64 -1 x)))
(exp.f64 (fma.f64 -1 x (log.f64 (fmod.f64 (exp.f64 x) 1))))
(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))
(exp.f64 (+.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) (*.f64 -1 x)))
(exp.f64 (fma.f64 -1 x (log.f64 (fmod.f64 (exp.f64 x) 1))))
(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))
(exp.f64 (+.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) (*.f64 -1 x)))
(exp.f64 (fma.f64 -1 x (log.f64 (fmod.f64 (exp.f64 x) 1))))
(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
3.0b
(fmod.f64 (exp.f64 x) 1)
Compiler

Compiled 20 to 12 computations (40% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite50.0ms (0.3%)

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))))))))

simplify78.0ms (0.5%)

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))

localize19.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 1 x))
✓3.0b
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))
Compiler

Compiled 40 to 21 computations (47.5% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite56.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
934×pow1_binary64
867×add-log-exp_binary64
866×log1p-expm1-u_binary64
866×expm1-log1p-u_binary64
849×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01032
120032
2237332
Stop Event
1×node limit
Counts
2 → 35
Calls
Call 1
Inputs
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) 2) (cbrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) (sqrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (*.f64 (neg.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x 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) (fma.f64 -1/4 (*.f64 x 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) (fma.f64 -1/4 (*.f64 x x) 1))) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x 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) (fma.f64 -1/4 (*.f64 x 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) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x 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) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x 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) (fma.f64 -1/4 (*.f64 x x) 1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 1 x))))))))

simplify68.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
858×fma-def_binary64
713×associate-/l/_binary64
479×times-frac_binary64
383×fma-neg_binary64
242×unswap-sqr_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
013493
128484
252394
3104385
4244376
5740376
61602376
72908376
84753376
Stop Event
1×node limit
Counts
59 → 41
Calls
Call 1
Inputs
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)))
(*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) x))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)))
(*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) x))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)))
Outputs
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1))
(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) (fma.f64 -1/4 (pow.f64 x 2) 1))
(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) (fma.f64 -1/4 (pow.f64 x 2) 1))
(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) (fma.f64 -1/4 (pow.f64 x 2) 1))
(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) (fma.f64 -1/4 (pow.f64 x 2) 1))
(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) (fma.f64 -1/4 (pow.f64 x 2) 1))
(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) (fma.f64 -1/4 (pow.f64 x 2) 1))
(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) (fma.f64 -1/4 (pow.f64 x 2) 1))
(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) (fma.f64 -1/4 (pow.f64 x 2) 1))
(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) (fma.f64 -1/4 (pow.f64 x 2) 1))
(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) (fma.f64 -1/4 (pow.f64 x 2) 1))
(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) (fma.f64 -1/4 (pow.f64 x 2) 1))
(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) (fma.f64 -1/4 (pow.f64 x 2) 1))
(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 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)))
(fma.f64 -1 (*.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 -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 -1/4 (*.f64 x x) 1)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (fma.f64 x -1 1))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 1 x))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (-.f64 1 x))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)))
(fma.f64 -1 (*.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 -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 -1/4 (*.f64 x x) 1)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (fma.f64 x -1 1))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 1 x))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (-.f64 1 x))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)))
(fma.f64 -1 (*.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 -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 -1/4 (*.f64 x x) 1)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (fma.f64 x -1 1))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 1 x))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (-.f64 1 x))
(*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) x))
(neg.f64 (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))))
(*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))))
(*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)))
(fma.f64 -1 (*.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 -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 -1/4 (*.f64 x x) 1)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (fma.f64 x -1 1))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 1 x))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (-.f64 1 x))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)))
(fma.f64 -1 (*.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 -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 -1/4 (*.f64 x x) 1)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (fma.f64 x -1 1))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 1 x))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (-.f64 1 x))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)))
(fma.f64 -1 (*.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 -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 -1/4 (*.f64 x x) 1)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (fma.f64 x -1 1))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 1 x))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (-.f64 1 x))
(*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) x))
(neg.f64 (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))))
(*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))))
(*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)))
(fma.f64 -1 (*.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 -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 -1/4 (*.f64 x x) 1)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (fma.f64 x -1 1))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 1 x))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (-.f64 1 x))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)))
(fma.f64 -1 (*.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 -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 -1/4 (*.f64 x x) 1)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (fma.f64 x -1 1))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 1 x))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (-.f64 1 x))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)))
(fma.f64 -1 (*.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 -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 -1/4 (*.f64 x x) 1)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (fma.f64 x -1 1))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 1 x))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (-.f64 1 x))

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(exp.f64 (fmod.f64 (exp.f64 x) 1))
✓0.0b
(/.f64 (log.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1))) (exp.f64 x))
✓1.7b
(log.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1)))
3.0b
(fmod.f64 (exp.f64 x) 1)
Compiler

Compiled 29 to 17 computations (41.4% saved)

series3.0ms (0%)

Counts
3 → 24
Calls

9 calls:

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

rewrite73.0ms (0.5%)

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
0825
113525
2155225
Stop Event
1×node limit
Counts
3 → 68
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))
(exp.f64 (fmod.f64 (exp.f64 x) 1))
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))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (fmod.f64 (exp.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (exp.f64 (fmod.f64 (exp.f64 x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (fmod.f64 (exp.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1))) (pow.f64 (cbrt.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1))) 2) (cbrt.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1))) (sqrt.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (fmod.f64 (exp.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.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 (exp.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 sqrt.f64 (pow.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1))))))))

simplify55.0ms (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
92 → 75
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))

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (cos.f64 x))
0.1b
(pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 3) 1/3)
✓0.1b
(pow.f64 (pow.f64 (pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 3) 1/3) 3) 1/3)
3.0b
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
Compiler

Compiled 61 to 27 computations (55.7% saved)

series5.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@0
(pow.f64 (pow.f64 (pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 3) 1/3) 3) 1/3)
2.0ms
x
@inf
(pow.f64 (pow.f64 (pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 3) 1/3) 3) 1/3)
1.0ms
x
@-inf
(pow.f64 (pow.f64 (pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 3) 1/3) 3) 1/3)

rewrite46.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
749×pow1_binary64
702×add-log-exp_binary64
702×log1p-expm1-u_binary64
702×expm1-log1p-u_binary64
683×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01210
125410
2206110
Stop Event
1×node limit
Counts
1 → 17
Calls
Call 1
Inputs
(pow.f64 (pow.f64 (pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 3) 1/3) 3) 1/3)
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 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2) 1/3))))) (#(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 *.f64 (pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2) 1/3) (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 3/2) 1/3) (pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 3/2) 1/3))))) (#(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 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)))))))))

simplify7.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06120
Stop Event
1×saturated
Counts
29 → 17
Calls
Call 1
Inputs
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
Outputs
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

eval124.0ms (0.9%)

Compiler

Compiled 5325 to 3272 computations (38.6% saved)

prune88.0ms (0.6%)

Pruning

21 alts after pruning (15 fresh and 6 done)

PrunedKeptTotal
New3656371
Fresh3912
Picked101
Done167
Total37021391
Error
22.7b
Counts
391 → 21
Alt Table
Click to see full alt table
StatusErrorProgram
61.0b
(pow.f64 (pow.f64 (pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) 1) 3) 1/3) 3) 1/3)
60.3b
(/.f64 (+.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) x)) 3)) (+.f64 1 (-.f64 (*.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) x)) (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) x))) (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) x)))))
60.3b
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x)))) 1))
✓60.3b
(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))
✓60.7b
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
60.7b
(*.f64 (-.f64 (+.f64 1 (fmod.f64 (exp.f64 x) 1)) 1) (-.f64 1 x))
60.7b
(/.f64 (-.f64 1 (pow.f64 (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x) -1) 2)) (-.f64 1 (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x) -1)))
✓60.7b
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 1 x))
60.4b
(/.f64 (log.f64 (exp.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (exp.f64 x))
61.8b
(*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) 1)))
61.0b
(pow.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) 1)) 2)
61.0b
(pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) 1) 3) 1/3)
60.6b
(*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6)))))
60.6b
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 (+.f64 x (*.f64 (*.f64 x x) -1/2))))
✓60.3b
(exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) x))
✓61.0b
(fmod.f64 (exp.f64 x) 1)
✓24.1b
(exp.f64 (neg.f64 x))
60.7b
(*.f64 (log.f64 (exp.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)))) (-.f64 1 x))
60.7b
(-.f64 (+.f64 1 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))) 1)
60.7b
(*.f64 (log.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1))) (-.f64 1 x))
60.7b
(-.f64 (+.f64 1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 1 x))) 1)
Compiler

Compiled 302 to 229 computations (24.2% saved)

regimes90.0ms (0.6%)

Accuracy

Total -38.0b remaining (-157.6%)

Threshold costs -38.0b (-157.6%)

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

2 calls:

56.0ms
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
22.0ms
x
Results
ErrorSegmentsBranch
24.1b1x
24.1b1(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Compiler

Compiled 530 to 277 computations (47.7% 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)

soundness257.0ms (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)

end13.0ms (0.1%)

Compiler

Compiled 4 to 3 computations (25% saved)

Profiling

Loading profile data...