Details

Time bar (total: 16.4s)

analyze411.0ms (2.5%)

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)

sample10.2s (61.8%)

Results
4.1s1505×body8192exit
3.0s4140×body1024valid
926.0ms1620×body1024invalid
823.0ms2036×body512valid
591.0ms1903×body256valid
334.0ms855×body512invalid
208.0ms177×body2048valid
129.0ms763×body256invalid

preprocess82.0ms (0.5%)

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)

simplify73.0ms (0.4%)

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
58.3b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶58.3b
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
Compiler

Compiled 10 to 6 computations (40% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(sqrt.f64 (cos.f64 x))
✓0.3b
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
✓4.6b
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
Compiler

Compiled 24 to 6 computations (75% saved)

series6.0ms (0%)

Counts
3 → 8
Calls

9 calls:

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

rewrite59.0ms (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)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(sqrt.f64 (cos.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 2) (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) (sqrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 1 (neg.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) 1) (/.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1) (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (exp.f64 x))) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (sqrt.f64 (exp.f64 x))) (/.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 3) (pow.f64 (exp.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (cos.f64 x))) (cbrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 x) 1/4) (pow.f64 (cos.f64 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (sqrt.f64 (cbrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1/2) (pow.f64 (cbrt.f64 (cos.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 x) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (cos.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 x) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (cos.f64 x))))))))

simplify40.0ms (0.2%)

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

Useful iterations: 3 (0.0ms)

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

eval18.0ms (0.1%)

Compiler

Compiled 1258 to 413 computations (67.2% saved)

prune21.0ms (0.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New73881
Fresh000
Picked011
Done000
Total73982
Error
58.3b
Counts
82 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
▶59.1b
(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))
58.3b
(log.f64 (exp.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))
▶58.3b
(*.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)))
58.9b
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x))
▶59.5b
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
60.1b
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
▶58.3b
(-.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 1)
✓58.3b
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
▶58.3b
(exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))
Compiler

Compiled 204 to 130 computations (36.3% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (cos.f64 x))
0.3b
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
✓2.9b
(-.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 1)
4.6b
(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)

rewrite79.0ms (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)))))

simplify61.0ms (0.4%)

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))

localize21.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.3b
(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))
✓4.6b
(fmod.f64 (exp.f64 x) 1)
Compiler

Compiled 16 to 8 computations (50% saved)

series5.0ms (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))
1.0ms
x
@0
(fmod.f64 (exp.f64 x) 1)
0.0ms
x
@-inf
(fmod.f64 (exp.f64 x) 1)

rewrite67.0ms (0.4%)

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 (0.3%)

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)))))

localize15.0ms (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))
4.6b
(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))

rewrite48.0ms (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))))))))

simplify84.0ms (0.5%)

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))

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))
✓1.8b
(-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)
✓2.3b
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
4.6b
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
Compiler

Compiled 41 to 8 computations (80.5% saved)

series81.0ms (0.5%)

Counts
3 → 20
Calls

9 calls:

TimeVariablePointExpression
29.0ms
x
@inf
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
28.0ms
x
@0
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
23.0ms
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)

rewrite70.0ms (0.4%)

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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simplify55.0ms (0.3%)

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))

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (cos.f64 x))
✓0.2b
(/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (exp.f64 x))
✓0.3b
(*.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)))
4.6b
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
Compiler

Compiled 62 to 13 computations (79% saved)

series4.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite70.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
940×pow1_binary64
867×add-log-exp_binary64
867×log1p-expm1-u_binary64
867×expm1-log1p-u_binary64
844×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01132
122332
2246932
Stop Event
1×node limit
Counts
2 → 75
Calls
Call 1
Inputs
(*.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)))
(/.f64 (sqrt.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 (/.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 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 (exp.f64 x) (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1/2) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1/2) (/.f64 (exp.f64 x) (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 (exp.f64 x) (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (/.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)))) (exp.f64 x)) (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1/2))))) (#(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 (pow.f64 (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 2) (/.f64 1 (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (/.f64 (exp.f64 x) (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) (/.f64 1 (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 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (*.f64 -1 (/.f64 (exp.f64 x) (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (*.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1/2) (neg.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (*.f64 (neg.f64 (exp.f64 x)) (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (*.f64 (/.f64 (exp.f64 x) (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (neg.f64 (sqrt.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 (*.f64 (neg.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (neg.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (*.f64 (neg.f64 (exp.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (neg.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.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))))) (neg.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.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 (exp.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (neg.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (neg.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (neg.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (*.f64 (exp.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.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 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (exp.f64 x)) (neg.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) -1)))) (#(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 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 cbrt.f64 (*.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 3/2) (pow.f64 (/.f64 (sqrt.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 (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (exp.f64 x)) 3) (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((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 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 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (cbrt.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 (cbrt.f64 (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (exp.f64 x))) (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 (exp.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 (exp.f64 x) 2))) (cbrt.f64 (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) (/.f64 1 (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (exp.f64 x))) (sqrt.f64 (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/4) (/.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/4) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/4) (*.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/4) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.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)) (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.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 1 (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (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))) (sqrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (sqrt.f64 (exp.f64 x))) (/.f64 (cbrt.f64 (sqrt.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 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1) (/.f64 (cbrt.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 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (/.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 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/4) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/4) (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.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 (sqrt.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 (sqrt.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 (sqrt.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) (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.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 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 (exp.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sqrt.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 (sqrt.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))) 3/2) (pow.f64 (exp.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sqrt.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 (sqrt.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 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) x))))))

simplify48.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
699×fma-neg_binary64
646×distribute-rgt-in_binary64
568×distribute-lft-in_binary64
389×fma-def_binary64
374×associate--r+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
048614
1142575
2464496
32515445
Stop Event
1×node limit
Counts
99 → 91
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))
(sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) (+.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 1/2 (*.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (pow.f64 x 2)))))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) (+.f64 (*.f64 -1/6 (*.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (pow.f64 x 3))) (+.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 1/2 (*.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (pow.f64 x 2))))))
(*.f64 (/.f64 1 (exp.f64 x)) (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 (/.f64 1 (exp.f64 x)) (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 (/.f64 1 (exp.f64 x)) (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 (/.f64 1 (exp.f64 x)) (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 (/.f64 1 (exp.f64 x)) (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 (/.f64 1 (exp.f64 x)) (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 (/.f64 1 (exp.f64 x)) (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 (/.f64 1 (exp.f64 x)) (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.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 (neg.f64 x) 1) (*.f64 (*.f64 -1/2 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)))))
(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 x (*.f64 x 1/2)) 1)) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 x (*.f64 (pow.f64 x 3) 1/6))))
(/.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))
(sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fma.f64 -1 (*.f64 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)))))
(-.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 x (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))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) (+.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 1/2 (*.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (pow.f64 x 2)))))
(+.f64 (fma.f64 -1 (*.f64 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))))) (*.f64 1/2 (*.f64 (*.f64 x x) (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))
(-.f64 (fma.f64 1/2 (*.f64 (*.f64 x 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))))) (*.f64 x (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(fma.f64 1/2 (*.f64 (*.f64 x x) (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)))
(*.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (-.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) 1) x))
(+.f64 (*.f64 -1 (*.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) (+.f64 (*.f64 -1/6 (*.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (pow.f64 x 3))) (+.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 1/2 (*.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (pow.f64 x 2))))))
(fma.f64 -1 (*.f64 x (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (fma.f64 -1/6 (*.f64 (pow.f64 x 3) (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 1/2 (*.f64 (*.f64 x x) (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))))
(-.f64 (fma.f64 -1/6 (*.f64 (pow.f64 x 3) (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (fma.f64 1/2 (*.f64 (*.f64 x 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)))))) (*.f64 x (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(+.f64 (*.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (-.f64 1 x)) (*.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (+.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 (pow.f64 x 3) -1/6))))
(*.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 -1/6 x)))))
(*.f64 (/.f64 1 (exp.f64 x)) (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)))
(/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (exp.f64 x))
(*.f64 (/.f64 1 (exp.f64 x)) (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)))
(/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (exp.f64 x))
(*.f64 (/.f64 1 (exp.f64 x)) (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)))
(/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (exp.f64 x))
(*.f64 (/.f64 1 (exp.f64 x)) (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)))
(/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (exp.f64 x))
(*.f64 (/.f64 1 (exp.f64 x)) (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)))
(/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (exp.f64 x))
(*.f64 (/.f64 1 (exp.f64 x)) (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)))
(/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (exp.f64 x))
(*.f64 (/.f64 1 (exp.f64 x)) (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)))
(/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (exp.f64 x))
(*.f64 (/.f64 1 (exp.f64 x)) (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)))
(/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (exp.f64 x))

eval162.0ms (1%)

Compiler

Compiled 11707 to 3797 computations (67.6% saved)

prune101.0ms (0.6%)

Pruning

23 alts after pruning (19 fresh and 4 done)

PrunedKeptTotal
New59418612
Fresh213
Picked101
Done145
Total59823621
Error
24.7b
Counts
621 → 23
Alt Table
Click to see full alt table
StatusErrorProgram
59.6b
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
59.5b
(-.f64 (+.f64 1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))) 1)
▶58.9b
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x))
▶60.0b
(fmod.f64 (exp.f64 x) 1)
59.5b
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 (*.f64 x x))) (+.f64 x 1))
59.1b
(log.f64 (exp.f64 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))))
✓59.1b
(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))
58.3b
(/.f64 1 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
58.4b
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))))
58.8b
(-.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x))) 1)
▶27.4b
(exp.f64 (neg.f64 x))
58.6b
(*.f64 (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1) (log.f64 (exp.f64 (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (exp.f64 x)))))
▶58.3b
(exp.f64 (-.f64 (log.f64 (pow.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2)) x))
59.5b
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (-.f64 1 x))
58.6b
(*.f64 (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1) (/.f64 (sqrt.f64 (log.f64 (exp.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (exp.f64 x)))
✓58.3b
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
▶59.1b
(*.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)))))))
59.4b
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 (+.f64 x (*.f64 (*.f64 x x) -1/2))))
58.3b
(log.f64 (exp.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))
60.1b
(*.f64 (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1) (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
✓59.5b
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
✓58.3b
(-.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 1)
58.3b
(/.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))))
Compiler

Compiled 635 to 405 computations (36.2% saved)

localize4.0ms (0%)

Compiler

Compiled 7 to 3 computations (57.1% saved)

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
4.6b
(fmod.f64 (exp.f64 x) 1)
Compiler

Compiled 9 to 5 computations (44.4% saved)

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.2b
(fma.f64 (*.f64 x x) -1/4 1)
✓0.3b
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x))
✓4.6b
(fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))
Compiler

Compiled 36 to 17 computations (52.8% saved)

series5.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite63.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

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

simplify75.0ms (0.5%)

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

Useful iterations: 3 (0.0ms)

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

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 x (+.f64 1/2 (*.f64 x -1/6)))
✓0.0b
(*.f64 x (+.f64 -1 (*.f64 x (+.f64 1/2 (*.f64 x -1/6)))))
✓0.3b
(*.f64 x -1/6)
4.6b
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
Compiler

Compiled 87 to 56 computations (35.6% saved)

series4.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(*.f64 x (+.f64 -1 (*.f64 x (+.f64 1/2 (*.f64 x -1/6)))))
1.0ms
x
@-inf
(*.f64 x (+.f64 -1 (*.f64 x (+.f64 1/2 (*.f64 x -1/6)))))
1.0ms
x
@0
(*.f64 x -1/6)
0.0ms
x
@inf
(*.f64 x -1/6)
0.0ms
x
@inf
(*.f64 x (+.f64 1/2 (*.f64 x -1/6)))

rewrite71.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
553×prod-diff_binary64
533×log-prod_binary64
364×pow-prod-down_binary64
323×fma-def_binary64
291×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01030
122924
2318124
Stop Event
1×node limit
Counts
3 → 121
Calls
Call 1
Inputs
(*.f64 x -1/6)
(*.f64 x (+.f64 -1 (*.f64 x (+.f64 1/2 (*.f64 x -1/6)))))
(*.f64 x (+.f64 1/2 (*.f64 x -1/6)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 x -1/6))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 x -1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 x -1/6)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 x -1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x -1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x -1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x -1/6) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x -1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x -1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) -1/216) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x -1/6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) -1/216))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x -1/6)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (*.f64 x (*.f64 x (fma.f64 x -1/6 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x (fma.f64 x -1/6 1/2))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (fma.f64 x (fma.f64 x -1/6 1/2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 x) 1) (*.f64 (*.f64 x (*.f64 x (fma.f64 x -1/6 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (fma.f64 x -1/6 1/2) -1))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (fma.f64 x -1/6 1/2) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (fma.f64 x -1/6 1/2) -1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (fma.f64 x -1/6 1/2) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 x -1/6 1/2) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (neg.f64 x) 3) (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -1/6 1/2))) 3)) (+.f64 (pow.f64 (neg.f64 x) 2) (-.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -1/6 1/2))) 2) (*.f64 (neg.f64 x) (*.f64 x (*.f64 x (fma.f64 x -1/6 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (neg.f64 x) 2) (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -1/6 1/2))) 2)) (-.f64 (neg.f64 x) (*.f64 x (*.f64 x (fma.f64 x -1/6 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 (*.f64 x (fma.f64 x -1/6 1/2)) 3)) x) (fma.f64 (*.f64 x (fma.f64 x -1/6 1/2)) (fma.f64 x (fma.f64 x -1/6 1/2) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 x (fma.f64 x -1/6 1/2)) 2)) x) (-.f64 -1 (*.f64 x (fma.f64 x -1/6 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 -1 (pow.f64 (*.f64 x (fma.f64 x -1/6 1/2)) 3))) (fma.f64 (*.f64 x (fma.f64 x -1/6 1/2)) (fma.f64 x (fma.f64 x -1/6 1/2) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (pow.f64 (*.f64 x (fma.f64 x -1/6 1/2)) 2))) (-.f64 -1 (*.f64 x (fma.f64 x -1/6 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 x (fma.f64 x -1/6 1/2) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x -1/6 1/2) -1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x -1/6 1/2) -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (fma.f64 x -1/6 1/2) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x (fma.f64 x -1/6 1/2) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x -1/6 1/2) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 x (fma.f64 x -1/6 1/2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x -1/6 1/2) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 x (*.f64 x (fma.f64 x -1/6 1/2)))) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x -1/6 1/2) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 x -1/6 1/2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x -1/6 1/2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 x -1/6 1/2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 x -1/6 1/2) -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -1 (*.f64 x (*.f64 x (fma.f64 x -1/6 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x (fma.f64 x -1/6 1/2)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 x (*.f64 x 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1/2)) (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 x))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/2) (*.f64 x (*.f64 x -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x -1/6)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (fma.f64 x -1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 1/2) 1) (*.f64 (*.f64 x (*.f64 x -1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/6 1/2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/6 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/6 1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/6 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x -1/6 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x 1/2) 3) (pow.f64 (*.f64 x (*.f64 x -1/6)) 3)) (+.f64 (pow.f64 (*.f64 x 1/2) 2) (-.f64 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#<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 x -1/6 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x -1/6 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x -1/6) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (*.f64 x (*.f64 x -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/6 (*.f64 x x) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x -1/6) x (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 x (*.f64 x (*.f64 x -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 1/2) (*.f64 x (*.f64 x -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (*.f64 x -1/6)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) -1/6 (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2) (*.f64 x (*.f64 x -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x -1/6)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -1/6)) 2) (*.f64 (cbrt.f64 (*.f64 x -1/6)) x) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) (*.f64 x (*.f64 x -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x -1/6)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x -1/6)) (*.f64 (sqrt.f64 (*.f64 x -1/6)) x) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 1/2) 1 (*.f64 (*.f64 x (*.f64 x -1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)) (*.f64 x (*.f64 x -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/6))) 2) (cbrt.f64 (*.f64 x (*.f64 x -1/6))) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)) (*.f64 x (*.f64 x -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (*.f64 x -1/6))) (sqrt.f64 (*.f64 x (*.f64 x -1/6))) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x (*.f64 x -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x (*.f64 x -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 x -1/6)) 2)) (cbrt.f64 (*.f64 x -1/6)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (*.f64 x -1/6))) (sqrt.f64 (*.f64 x -1/6)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x -1/6) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x -1/6) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x 1/2))))))

simplify69.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
797×distribute-rgt-neg-in_binary64
688×distribute-lft-neg-in_binary64
602×fma-neg_binary64
558×associate-*l*_binary64
536×unswap-sqr_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
019322
147322
290305
3231269
4778257
53160257
67147257
Stop Event
1×node limit
Counts
157 → 137
Calls
Call 1
Inputs
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1 x)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 (*.f64 1/2 x) (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 (*.f64 1/2 x) (*.f64 -1/6 (pow.f64 x 2)))
(*.f64 -1/6 (pow.f64 x 2))
(+.f64 (*.f64 1/2 x) (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 (*.f64 1/2 x) (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 (*.f64 1/2 x) (*.f64 -1/6 (pow.f64 x 2)))
(*.f64 -1/6 (pow.f64 x 2))
(+.f64 (*.f64 1/2 x) (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 (*.f64 1/2 x) (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 (*.f64 1/2 x) (*.f64 -1/6 (pow.f64 x 2)))
Outputs
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))
(fma.f64 1/2 (*.f64 x x) (neg.f64 x))
(-.f64 (*.f64 x (*.f64 x 1/2)) x)
(-.f64 (*.f64 1/2 (*.f64 x x)) x)
(*.f64 x (fma.f64 x 1/2 -1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/6 (pow.f64 x 3))) x)
(-.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 -1/6 x) 1/2)) x)
(-.f64 (*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2))) x)
(*.f64 x (fma.f64 x (fma.f64 -1/6 x 1/2) -1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/6 (pow.f64 x 3))) x)
(-.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 -1/6 x) 1/2)) x)
(-.f64 (*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2))) x)
(*.f64 x (fma.f64 x (fma.f64 -1/6 x 1/2) -1))
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/6 (pow.f64 x 3)))
(*.f64 (*.f64 x x) (+.f64 (*.f64 -1/6 x) 1/2))
(*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/6 (pow.f64 x 3))) x)
(-.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 -1/6 x) 1/2)) x)
(-.f64 (*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2))) x)
(*.f64 x (fma.f64 x (fma.f64 -1/6 x 1/2) -1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/6 (pow.f64 x 3))) x)
(-.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 -1/6 x) 1/2)) x)
(-.f64 (*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2))) x)
(*.f64 x (fma.f64 x (fma.f64 -1/6 x 1/2) -1))
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x)))
(fma.f64 1/2 (*.f64 x x) (*.f64 -1/6 (pow.f64 x 3)))
(*.f64 (*.f64 x x) (+.f64 (*.f64 -1/6 x) 1/2))
(*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/6 (pow.f64 x 3))) x)
(-.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 -1/6 x) 1/2)) x)
(-.f64 (*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2))) x)
(*.f64 x (fma.f64 x (fma.f64 -1/6 x 1/2) -1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 -1/6 (pow.f64 x 3))) x)
(-.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 -1/6 x) 1/2)) x)
(-.f64 (*.f64 x (*.f64 x (fma.f64 -1/6 x 1/2))) x)
(*.f64 x (fma.f64 x (fma.f64 -1/6 x 1/2) -1))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (*.f64 1/2 x) (*.f64 -1/6 (pow.f64 x 2)))
(fma.f64 1/2 x (*.f64 -1/6 (*.f64 x x)))
(fma.f64 -1/6 (*.f64 x x) (*.f64 x 1/2))
(*.f64 x (+.f64 1/2 (*.f64 -1/6 x)))
(*.f64 x (fma.f64 -1/6 x 1/2))
(+.f64 (*.f64 1/2 x) (*.f64 -1/6 (pow.f64 x 2)))
(fma.f64 1/2 x (*.f64 -1/6 (*.f64 x x)))
(fma.f64 -1/6 (*.f64 x x) (*.f64 x 1/2))
(*.f64 x (+.f64 1/2 (*.f64 -1/6 x)))
(*.f64 x (fma.f64 -1/6 x 1/2))
(+.f64 (*.f64 1/2 x) (*.f64 -1/6 (pow.f64 x 2)))
(fma.f64 1/2 x (*.f64 -1/6 (*.f64 x x)))
(fma.f64 -1/6 (*.f64 x x) (*.f64 x 1/2))
(*.f64 x (+.f64 1/2 (*.f64 -1/6 x)))
(*.f64 x (fma.f64 -1/6 x 1/2))
(*.f64 -1/6 (pow.f64 x 2))
(*.f64 -1/6 (*.f64 x x))
(*.f64 x (*.f64 -1/6 x))
(+.f64 (*.f64 1/2 x) (*.f64 -1/6 (pow.f64 x 2)))
(fma.f64 1/2 x (*.f64 -1/6 (*.f64 x x)))
(fma.f64 -1/6 (*.f64 x x) (*.f64 x 1/2))
(*.f64 x (+.f64 1/2 (*.f64 -1/6 x)))
(*.f64 x (fma.f64 -1/6 x 1/2))
(+.f64 (*.f64 1/2 x) (*.f64 -1/6 (pow.f64 x 2)))
(fma.f64 1/2 x (*.f64 -1/6 (*.f64 x x)))
(fma.f64 -1/6 (*.f64 x x) (*.f64 x 1/2))
(*.f64 x (+.f64 1/2 (*.f64 -1/6 x)))
(*.f64 x (fma.f64 -1/6 x 1/2))
(+.f64 (*.f64 1/2 x) (*.f64 -1/6 (pow.f64 x 2)))
(fma.f64 1/2 x (*.f64 -1/6 (*.f64 x x)))
(fma.f64 -1/6 (*.f64 x x) (*.f64 x 1/2))
(*.f64 x (+.f64 1/2 (*.f64 -1/6 x)))
(*.f64 x (fma.f64 -1/6 x 1/2))
(*.f64 -1/6 (pow.f64 x 2))
(*.f64 -1/6 (*.f64 x x))
(*.f64 x (*.f64 -1/6 x))
(+.f64 (*.f64 1/2 x) (*.f64 -1/6 (pow.f64 x 2)))
(fma.f64 1/2 x (*.f64 -1/6 (*.f64 x x)))
(fma.f64 -1/6 (*.f64 x x) (*.f64 x 1/2))
(*.f64 x (+.f64 1/2 (*.f64 -1/6 x)))
(*.f64 x (fma.f64 -1/6 x 1/2))
(+.f64 (*.f64 1/2 x) (*.f64 -1/6 (pow.f64 x 2)))
(fma.f64 1/2 x (*.f64 -1/6 (*.f64 x x)))
(fma.f64 -1/6 (*.f64 x x) (*.f64 x 1/2))
(*.f64 x (+.f64 1/2 (*.f64 -1/6 x)))
(*.f64 x (fma.f64 -1/6 x 1/2))
(+.f64 (*.f64 1/2 x) (*.f64 -1/6 (pow.f64 x 2)))
(fma.f64 1/2 x (*.f64 -1/6 (*.f64 x x)))
(fma.f64 -1/6 (*.f64 x x) (*.f64 x 1/2))
(*.f64 x (+.f64 1/2 (*.f64 -1/6 x)))
(*.f64 x (fma.f64 -1/6 x 1/2))

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(exp.f64 (-.f64 (log.f64 (pow.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2)) x))
✓1.7b
(-.f64 (log.f64 (pow.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2)) x)
✓2.3b
(log.f64 (pow.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2))
4.6b
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
Compiler

Compiled 67 to 21 computations (68.7% saved)

series29.0ms (0.2%)

Counts
3 → 32
Calls

9 calls:

TimeVariablePointExpression
10.0ms
x
@-inf
(log.f64 (pow.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2))
9.0ms
x
@0
(log.f64 (pow.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2))
8.0ms
x
@inf
(log.f64 (pow.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2))
0.0ms
x
@0
(-.f64 (log.f64 (pow.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2)) x)
0.0ms
x
@0
(exp.f64 (-.f64 (log.f64 (pow.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2)) x))

rewrite90.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
488×log-prod_binary64
477×prod-diff_binary64
296×pow-prod-down_binary64
271×pow2_binary64
227×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01242
124442
2274442
Stop Event
1×node limit
Counts
3 → 223
Calls
Call 1
Inputs
(log.f64 (pow.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2))
(-.f64 (log.f64 (pow.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2)) x)
(exp.f64 (-.f64 (log.f64 (pow.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2)) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 0)))) (#(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 1/4 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (log.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (log.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (log.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (*.f64 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 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((x exp.f64 (log.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) 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((#(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) 0)))) (#(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) (+.f64 (neg.f64 x) 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 -1 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 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#<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2)) (cbrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2)) (*.f64 (cbrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 3) (pow.f64 (exp.f64 x) 3)) 1/3)))) (#(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 pow.f64 (pow.f64 (exp.f64 1) 1) (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))) 1) (sqrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))) (cbrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))) (cbrt.f64 (sqrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))) (sqrt.f64 (sqrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)))) (sqrt.f64 (sqrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2))) (sqrt.f64 (cbrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (cbrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2)) (cbrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))) (sqrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 3) (pow.f64 x 3))) (/.f64 1 (fma.f64 x (+.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (pow.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 (exp.f64 1) (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x))) (/.f64 1 (+.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (+.f64 (sqrt.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (sqrt.f64 x))) (-.f64 (sqrt.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2)) 1) (cbrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2)) (cbrt.f64 (sqrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)))) (cbrt.f64 (sqrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2))) (cbrt.f64 (cbrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)))) (sqrt.f64 (cbrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.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))))))))

simplify50.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
591×distribute-rgt-neg-in_binary64
571×fma-def_binary64
570×distribute-lft-out_binary64
555×distribute-lft-neg-in_binary64
487×associate-*l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
031550
182507
2202469
3671447
43676437
Stop Event
1×node limit
Counts
255 → 236
Calls
Call 1
Inputs
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 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 (*.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 (log.f64 (pow.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2)) (*.f64 -1 x)))
(exp.f64 (+.f64 (log.f64 (pow.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2)) (*.f64 -1 x)))
(exp.f64 (+.f64 (log.f64 (pow.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2)) (*.f64 -1 x)))
(exp.f64 (+.f64 (log.f64 (pow.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2)) (*.f64 -1 x)))
Outputs
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 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)))))
(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))))))
(fma.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 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)))))))
(fma.f64 1/2 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x x)) (fma.f64 (neg.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 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (*.f64 x (*.f64 x 1/2)) (neg.f64 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)) (fma.f64 -1/6 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 x 3)) (fma.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 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 x (*.f64 x 1/2)) (*.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 (-.f64 1 x) (*.f64 (*.f64 x x) (+.f64 (*.f64 x -1/6) 1/2))))
(exp.f64 (+.f64 (log.f64 (pow.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2)) (*.f64 -1 x)))
(exp.f64 (+.f64 (neg.f64 x) (log.f64 (pow.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2))))
(*.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 (log.f64 (pow.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2)) (*.f64 -1 x)))
(exp.f64 (+.f64 (neg.f64 x) (log.f64 (pow.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2))))
(*.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 (log.f64 (pow.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2)) (*.f64 -1 x)))
(exp.f64 (+.f64 (neg.f64 x) (log.f64 (pow.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2))))
(*.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 (log.f64 (pow.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2)) (*.f64 -1 x)))
(exp.f64 (+.f64 (neg.f64 x) (log.f64 (pow.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2))))
(*.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))

eval162.0ms (1%)

Compiler

Compiled 10328 to 4392 computations (57.5% saved)

prune102.0ms (0.6%)

Pruning

27 alts after pruning (21 fresh and 6 done)

PrunedKeptTotal
New49113504
Fresh6814
Picked101
Done268
Total50027527
Error
24.5b
Counts
527 → 27
Alt Table
Click to see full alt table
StatusErrorProgram
▶59.6b
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
59.5b
(-.f64 (+.f64 1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))) 1)
59.1b
(*.f64 (-.f64 (+.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1) (+.f64 1 (*.f64 x (+.f64 -1 (*.f64 x (+.f64 1/2 (*.f64 x -1/6)))))))
58.3b
(exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 2) x))
60.0b
(pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) 1) 3) 1/3)
✓59.1b
(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))
58.3b
(log.f64 (exp.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))
58.3b
(/.f64 1 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
▶58.9b
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) -1/4) (*.f64 (*.f64 x x) -1/4)) 1) (-.f64 (*.f64 (*.f64 x x) -1/4) 1))) (exp.f64 x))
58.4b
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))))
60.0b
(pow.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) 1)) 2)
▶58.4b
(/.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (exp.f64 (*.f64 x 2)))) (cbrt.f64 (exp.f64 x)))
59.4b
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 1 (sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x -1/6 1/2) -1)) 2))))
▶35.3b
(pow.f64 (pow.f64 (exp.f64 1) (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x))) (/.f64 1 (+.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))
59.5b
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (-.f64 1 x))
58.9b
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 (*.f64 (*.f64 x x) -1/4) 1)) (exp.f64 x))
▶58.8b
(-.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x))) 1)
✓58.3b
(-.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 1)
✓58.3b
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
✓59.1b
(*.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)))))))
59.4b
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 (+.f64 x (*.f64 (*.f64 x x) -1/2))))
62.0b
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4))) (exp.f64 x))
✓60.0b
(fmod.f64 (exp.f64 x) 1)
✓27.4b
(exp.f64 (neg.f64 x))
60.1b
(log.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1)))
58.6b
(*.f64 (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1) (log.f64 (exp.f64 (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (exp.f64 x)))))
58.3b
(/.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))))
Compiler

Compiled 774 to 516 computations (33.3% saved)

localize37.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓2.2b
(-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x))
2.3b
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
✓2.7b
(pow.f64 (pow.f64 (exp.f64 1) (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x))) (/.f64 1 (+.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))
4.6b
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
Compiler

Compiled 115 to 34 computations (70.4% saved)

series8.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(pow.f64 (pow.f64 (exp.f64 1) (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x))) (/.f64 1 (+.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))
2.0ms
x
@-inf
(pow.f64 (pow.f64 (exp.f64 1) (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x))) (/.f64 1 (+.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))
2.0ms
x
@0
(pow.f64 (pow.f64 (exp.f64 1) (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x))) (/.f64 1 (+.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))
1.0ms
x
@inf
(-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x))
1.0ms
x
@-inf
(-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x))

rewrite102.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
767×log-prod_binary64
497×fma-def_binary64
290×expm1-udef_binary64
290×log1p-udef_binary64
281×log-pow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01764
136661
2478461
Stop Event
1×node limit
Counts
2 → 139
Calls
Call 1
Inputs
(pow.f64 (pow.f64 (exp.f64 1) (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x))) (/.f64 1 (+.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))
(-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (exp.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x)) (+.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x)) (+.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))))) (cbrt.f64 (exp.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x)) (+.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))))))) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x)) (+.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 (exp.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (log.f64 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(sqrt.f64 (cos.f64 x))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x)) (+.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))) (cbrt.f64 (pow.f64 (exp.f64 2) (/.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x)) (+.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (/.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x)) (+.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))) (cbrt.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x)) (+.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x)) (+.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))) (sqrt.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x)) (+.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 (/.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x)) (+.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))) (exp.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x)) (+.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 2/3) (/.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x)) (+.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))) (pow.f64 (exp.f64 1/3) (/.f64 (-.f64 (pow.f64 (log.f64 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 x x)) (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) 1) x (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 x)) (sqrt.f64 x) (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.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))) (cbrt.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (neg.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.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))) (cbrt.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (*.f64 (neg.f64 (*.f64 x x)) 1))))))

simplify62.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
711×distribute-rgt-in_binary64
376×fma-def_binary64
314×associate-+l+_binary64
242×associate-+r+_binary64
238×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0661063
12001048
27751002
34577923
Stop Event
1×node limit
Counts
163 → 160
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 1/2 (*.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)))))
1
(-.f64 (+.f64 1 (/.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) x)) x)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (pow.f64 x 2)) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) x) (*.f64 -1 (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (pow.f64 x 2)) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (pow.f64 x 2)))))) x)
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (pow.f64 x 2)) (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2)) (pow.f64 x 3)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (pow.f64 x 2)) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) x) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (pow.f64 x 2)) 2) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (pow.f64 x 3))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (pow.f64 x 2)) 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (pow.f64 x 2)) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (pow.f64 x 2))))))))) x)
1
(-.f64 (+.f64 1 (/.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) x)) x)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (pow.f64 x 2)) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) x) (*.f64 -1 (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (pow.f64 x 2)) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (pow.f64 x 2)))))) x)
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/6 (pow.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (pow.f64 x 2)) 3)) (+.f64 (*.f64 -1 (*.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (pow.f64 x 2)) (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2))) (*.f64 (pow.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (pow.f64 x 2)) 2) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (pow.f64 x 2)) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) x) (*.f64 -1 (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (pow.f64 x 2)) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (pow.f64 x 2))))))) x)
(pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2)
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2))
(*.f64 -1 (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2))
(*.f64 -1 (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2))
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 1 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 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)))))
(fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (*.f64 x 1/2)) (*.f64 (-.f64 1 x) (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 (*.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 1 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 -1/6 (pow.f64 x 3)))))
(+.f64 (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)))
1
(-.f64 (+.f64 1 (/.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) x)) x)
(+.f64 1 (-.f64 (/.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) x) x))
(+.f64 (/.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) x) (-.f64 1 x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (pow.f64 x 2)) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) x) (*.f64 -1 (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (pow.f64 x 2)) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (pow.f64 x 2)))))) x)
(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x)) 2) (*.f64 x x)) (+.f64 1 (+.f64 (/.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) x) (neg.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x)) (/.f64 (*.f64 x x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))))) x)
(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x)) 2) (*.f64 x x)) 1) (-.f64 (-.f64 (/.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) x) (/.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 (*.f64 x x) (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x))))) x))
(-.f64 (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x)) 2) (*.f64 x x)) (+.f64 1 (/.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) x))) (*.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x)) (*.f64 x x)))) x)
(+.f64 (*.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (-.f64 (/.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x) (+.f64 (/.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x)) -1))) (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x)) 2) (*.f64 x x)) 1) x))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (pow.f64 x 2)) (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2)) (pow.f64 x 3)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (pow.f64 x 2)) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) x) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (pow.f64 x 2)) 2) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (pow.f64 x 3))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (pow.f64 x 2)) 3) (pow.f64 x 3))) (*.f64 -1 (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (pow.f64 x 2)) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (pow.f64 x 2))))))))) x)
(-.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x)) (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2))) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x)) 2) (*.f64 x x)) (+.f64 1 (+.f64 (/.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) x) (fma.f64 -1 (/.f64 (pow.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x)) 2) (/.f64 (pow.f64 x 3) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (fma.f64 1/6 (/.f64 (pow.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x)) 3) (pow.f64 x 3)) (neg.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x)) (/.f64 (*.f64 x x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))))))))) x)
(+.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x)) (/.f64 (pow.f64 x 3) (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2))) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x)) 2) (*.f64 x x)) 1) (-.f64 (+.f64 (/.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) x) (-.f64 (-.f64 (*.f64 1/6 (/.f64 (pow.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x)) 3) (pow.f64 x 3))) (/.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 (*.f64 x x) (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x))))) (/.f64 (pow.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x)) 2) (/.f64 (pow.f64 x 3) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))) x)))
(+.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x)) (pow.f64 x 3)) (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x)) 2) (*.f64 x x)) 1)) (+.f64 (-.f64 (*.f64 1/6 (pow.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x)) x) 3)) (*.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x)) (*.f64 x x)))) (-.f64 (-.f64 (/.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) x) (*.f64 (/.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (pow.f64 x 3)) (pow.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x)) 2))) x)))
(-.f64 (+.f64 (+.f64 1 (-.f64 (fma.f64 1/6 (pow.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x)) x) 3) (*.f64 (+.f64 (/.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x)) -1) (neg.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))) (*.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x)) 2) (*.f64 x x)) (-.f64 (/.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x) 1/2)))) (*.f64 (+.f64 (+.f64 (/.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x)) -1) 1) (/.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) x))) x)
1
(-.f64 (+.f64 1 (/.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) x)) x)
(+.f64 1 (-.f64 (/.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) x) x))
(+.f64 (/.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) x) (-.f64 1 x))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (pow.f64 x 2)) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) x) (*.f64 -1 (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (pow.f64 x 2)) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (pow.f64 x 2)))))) x)
(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x)) 2) (*.f64 x x)) (+.f64 1 (+.f64 (/.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) x) (neg.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x)) (/.f64 (*.f64 x x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))))) x)
(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x)) 2) (*.f64 x x)) 1) (-.f64 (-.f64 (/.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) x) (/.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 (*.f64 x x) (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x))))) x))
(-.f64 (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x)) 2) (*.f64 x x)) (+.f64 1 (/.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) x))) (*.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x)) (*.f64 x x)))) x)
(+.f64 (*.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (-.f64 (/.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x) (+.f64 (/.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x)) -1))) (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x)) 2) (*.f64 x x)) 1) x))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/6 (pow.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (pow.f64 x 2)) 3)) (+.f64 (*.f64 -1 (*.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (pow.f64 x 2)) (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2))) (*.f64 (pow.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (pow.f64 x 2)) 2) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (pow.f64 x 2)) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) x) (*.f64 -1 (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (pow.f64 x 2)) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (pow.f64 x 2))))))) x)
(-.f64 (fma.f64 -1 (/.f64 (fma.f64 -1/6 (pow.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x)) 3) (fma.f64 -1 (*.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x))) (*.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (pow.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x)) 2)))) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x)) 2) (*.f64 x x)) (+.f64 1 (+.f64 (/.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) x) (neg.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x)) (/.f64 (*.f64 x x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))))))) x)
(-.f64 (-.f64 (+.f64 (-.f64 (/.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) x) (/.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 (*.f64 x x) (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x))))) (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x)) 2) (*.f64 x x)) 1)) (/.f64 (fma.f64 -1/6 (pow.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x)) 3) (-.f64 (*.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (pow.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x)) 2)) (*.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x))))) (pow.f64 x 3))) x)
(-.f64 (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x)) 2) (*.f64 x x)) (+.f64 1 (/.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) x))) (*.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x)) (*.f64 x x)))) (+.f64 (/.f64 (fma.f64 -1/6 (pow.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x)) 3) (*.f64 (*.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x))) (-.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x)) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))) (pow.f64 x 3)) x))
(-.f64 (+.f64 (*.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (-.f64 (/.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x) (+.f64 (/.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x)) -1))) (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x)) 2) (*.f64 x x)) 1) x)) (/.f64 (fma.f64 -1/6 (pow.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x)) 3) (*.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x)) (-.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x)) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))) (pow.f64 x 3)))
(pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2)
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2))
(-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2))
(-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2))
(-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2))
(-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2))
(-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2))
(-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2))
(-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2))
(-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2))
(-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x))

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
4.6b
(fmod.f64 (exp.f64 x) 1)
Compiler

Compiled 20 to 12 computations (40% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite51.0ms (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))))))))

simplify79.0ms (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))

localize37.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (*.f64 x x) -1/4)
✓0.3b
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) -1/4) (*.f64 (*.f64 x x) -1/4)) 1) (-.f64 (*.f64 (*.f64 x x) -1/4) 1))) (exp.f64 x))
✓4.6b
(fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) -1/4) (*.f64 (*.f64 x x) -1/4)) 1) (-.f64 (*.f64 (*.f64 x x) -1/4) 1)))
✓8.1b
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) -1/4) (*.f64 (*.f64 x x) -1/4)) 1) (-.f64 (*.f64 (*.f64 x x) -1/4) 1))
Compiler

Compiled 117 to 62 computations (47% saved)

series8.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) -1/4) (*.f64 (*.f64 x x) -1/4)) 1) (-.f64 (*.f64 (*.f64 x x) -1/4) 1))
1.0ms
x
@0
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) -1/4) (*.f64 (*.f64 x x) -1/4)) 1) (-.f64 (*.f64 (*.f64 x x) -1/4) 1))) (exp.f64 x))
1.0ms
x
@0
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) -1/4) (*.f64 (*.f64 x x) -1/4)) 1) (-.f64 (*.f64 (*.f64 x x) -1/4) 1))
1.0ms
x
@-inf
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) -1/4) (*.f64 (*.f64 x x) -1/4)) 1) (-.f64 (*.f64 (*.f64 x x) -1/4) 1))) (exp.f64 x))
1.0ms
x
@inf
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) -1/4) (*.f64 (*.f64 x x) -1/4)) 1) (-.f64 (*.f64 (*.f64 x x) -1/4) 1))) (exp.f64 x))

rewrite89.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
741×log-prod_binary64
378×fma-def_binary64
360×fma-neg_binary64
240×pow1/3_binary64
236×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01391
129246
2413846
Stop Event
1×node limit
Counts
4 → 193
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) -1/4) (*.f64 (*.f64 x x) -1/4)) 1) (-.f64 (*.f64 (*.f64 x x) -1/4) 1))
(fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) -1/4) (*.f64 (*.f64 x x) -1/4)) 1) (-.f64 (*.f64 (*.f64 x x) -1/4) 1)))
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) -1/4) (*.f64 (*.f64 x x) -1/4)) 1) (-.f64 (*.f64 (*.f64 x x) -1/4) 1))) (exp.f64 x))
(*.f64 (*.f64 x x) -1/4)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x -1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 x (*.f64 x -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x (*.f64 x -1/4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/16) (fma.f64 x (*.f64 x -1/4) -1)) (neg.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/4) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x (*.f64 x -1/4) 1))) (cbrt.f64 (exp.f64 (fma.f64 x (*.f64 x -1/4) 1))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (*.f64 x -1/4) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (*.f64 x -1/4) 1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (*.f64 x -1/4) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 x -1/4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 4) 1/16) (fma.f64 x (*.f64 x -1/4) -1)) (/.f64 1 (fma.f64 x (*.f64 x -1/4) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x -1/4) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (*.f64 x -1/4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 4) 1/16 -1) (/.f64 1 (fma.f64 x (*.f64 x -1/4) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) 1/16 -1)) 2) (*.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) 1/16 -1)) (/.f64 1 (fma.f64 x (*.f64 x -1/4) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 1)) (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/4) 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/4) 1) 2)) (cbrt.f64 (fma.f64 x (*.f64 x -1/4) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) 1/16 -1)) (*.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) 1/16 -1)) (/.f64 1 (fma.f64 x (*.f64 x -1/4) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 -1/4))) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 (pow.f64 x 4) 1/16 -1)) (/.f64 1 (neg.f64 (fma.f64 x (*.f64 x -1/4) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x (*.f64 x -1/4) -1)) (fma.f64 (pow.f64 x 4) 1/16 -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (*.f64 x -1/4) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (*.f64 x -1/4) 1) (*.f64 (fma.f64 x (*.f64 x -1/4) -1) (/.f64 1 (fma.f64 x (*.f64 x -1/4) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/4) -1)) 2)) (/.f64 (fma.f64 (pow.f64 x 4) 1/16 -1) (cbrt.f64 (fma.f64 x (*.f64 x -1/4) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 x (*.f64 x -1/4) -1))) (/.f64 (fma.f64 (pow.f64 x 4) 1/16 -1) (sqrt.f64 (fma.f64 x (*.f64 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(fma.f64 x (*.f64 x -1/4) -1) (cbrt.f64 (fma.f64 x (*.f64 x -1/4) -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) 1/16 -1)) 2) (sqrt.f64 (fma.f64 x (*.f64 x -1/4) -1))) (/.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) 1/16 -1)) (sqrt.f64 (fma.f64 x (*.f64 x -1/4) -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (fma.f64 x (*.f64 x -1/4) 1) (sqrt.f64 (fma.f64 x (*.f64 x -1/4) -1))) (/.f64 (fma.f64 x (*.f64 x -1/4) -1) (sqrt.f64 (fma.f64 x (*.f64 x -1/4) -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (fma.f64 (pow.f64 x 4) 1/16 -1) (fma.f64 (pow.f64 x 4) 1/16 -1)) (fma.f64 x (*.f64 x -1/4) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (fma.f64 (pow.f64 x 4) 1/16 -1) (fma.f64 (pow.f64 (*.f64 x x) 3) -1/64 -1)) (fma.f64 (pow.f64 x 4) 1/16 (fma.f64 x (*.f64 x -1/4) 1)) -1)))))

simplify59.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
682×distribute-rgt-in_binary64
621×distribute-lft-in_binary64
599×fma-neg_binary64
340×associate--r+_binary64
262×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0481069
11351005
2417911
32161863
Stop Event
1×node limit
Counts
241 → 209
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
(*.f64 -1/4 (pow.f64 x 2))
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
(*.f64 -1/4 (pow.f64 x 2))
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
(fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 1) (-.f64 (*.f64 -1/4 (pow.f64 x 2)) 1)))
(fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 1) (-.f64 (*.f64 -1/4 (pow.f64 x 2)) 1)))
(fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 1) (-.f64 (*.f64 -1/4 (pow.f64 x 2)) 1)))
(fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 1) (-.f64 (*.f64 -1/4 (pow.f64 x 2)) 1)))
(fmod.f64 (exp.f64 x) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 1) (+.f64 1 (*.f64 1/4 (pow.f64 x 2))))))
(fmod.f64 (exp.f64 x) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 1) (+.f64 1 (*.f64 1/4 (pow.f64 x 2))))))
(fmod.f64 (exp.f64 x) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 1) (+.f64 1 (*.f64 1/4 (pow.f64 x 2))))))
(fmod.f64 (exp.f64 x) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 1) (+.f64 1 (*.f64 1/4 (pow.f64 x 2))))))
(fmod.f64 (exp.f64 x) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 1) (+.f64 1 (*.f64 1/4 (pow.f64 x 2))))))
(fmod.f64 (exp.f64 x) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 1) (+.f64 1 (*.f64 1/4 (pow.f64 x 2))))))
(fmod.f64 (exp.f64 x) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 1) (+.f64 1 (*.f64 1/4 (pow.f64 x 2))))))
(fmod.f64 (exp.f64 x) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 1) (+.f64 1 (*.f64 1/4 (pow.f64 x 2))))))
(fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 1) (-.f64 (*.f64 -1/4 (pow.f64 x 2)) 1)))
(+.f64 (fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 1) (-.f64 (*.f64 -1/4 (pow.f64 x 2)) 1))) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 1) (-.f64 (*.f64 -1/4 (pow.f64 x 2)) 1))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 1) (-.f64 (*.f64 -1/4 (pow.f64 x 2)) 1))) (+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 1) (-.f64 (*.f64 -1/4 (pow.f64 x 2)) 1))) x)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 1) (-.f64 (*.f64 -1/4 (pow.f64 x 2)) 1)))) (*.f64 1/2 (fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 1) (-.f64 (*.f64 -1/4 (pow.f64 x 2)) 1))))) (pow.f64 x 2)))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 1) (-.f64 (*.f64 -1/4 (pow.f64 x 2)) 1)))) (*.f64 1/2 (fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 1) (-.f64 (*.f64 -1/4 (pow.f64 x 2)) 1)))))) (+.f64 (*.f64 1/6 (fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 1) (-.f64 (*.f64 -1/4 (pow.f64 x 2)) 1)))) (*.f64 -1/2 (fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 1) (-.f64 (*.f64 -1/4 (pow.f64 x 2)) 1)))))) (pow.f64 x 3))) (+.f64 (fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 1) (-.f64 (*.f64 -1/4 (pow.f64 x 2)) 1))) (+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 1) (-.f64 (*.f64 -1/4 (pow.f64 x 2)) 1))) x)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 1) (-.f64 (*.f64 -1/4 (pow.f64 x 2)) 1)))) (*.f64 1/2 (fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 1) (-.f64 (*.f64 -1/4 (pow.f64 x 2)) 1))))) (pow.f64 x 2))))))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 1) (+.f64 1 (*.f64 1/4 (pow.f64 x 2)))))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 1) (+.f64 1 (*.f64 1/4 (pow.f64 x 2)))))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 1) (+.f64 1 (*.f64 1/4 (pow.f64 x 2)))))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 1) (+.f64 1 (*.f64 1/4 (pow.f64 x 2)))))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 1) (+.f64 1 (*.f64 1/4 (pow.f64 x 2)))))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 1) (+.f64 1 (*.f64 1/4 (pow.f64 x 2)))))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 1) (+.f64 1 (*.f64 1/4 (pow.f64 x 2)))))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 1) (+.f64 1 (*.f64 1/4 (pow.f64 x 2)))))) (exp.f64 x))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (pow.f64 x 2))
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 -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 -1/4 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/4 (*.f64 x x)))
(fma.f64 -1/4 (*.f64 x x) 1)
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (*.f64 x x))
(+.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 -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 -1/4 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/4 (*.f64 x x)))
(fma.f64 -1/4 (*.f64 x x) 1)
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (*.f64 x x))
(+.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 -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 -1/4 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/4 (*.f64 x x)))
(fma.f64 -1/4 (*.f64 x x) 1)
(fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 1) (-.f64 (*.f64 -1/4 (pow.f64 x 2)) 1)))
(fmod.f64 (exp.f64 x) (/.f64 (fma.f64 1/16 (pow.f64 x 4) -1) (fma.f64 -1/4 (*.f64 x x) -1)))
(fmod.f64 (exp.f64 x) (/.f64 (fma.f64 1/16 (pow.f64 x 4) -1) (fma.f64 x (*.f64 -1/4 x) -1)))
(fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 1) (-.f64 (*.f64 -1/4 (pow.f64 x 2)) 1)))
(fmod.f64 (exp.f64 x) (/.f64 (fma.f64 1/16 (pow.f64 x 4) -1) (fma.f64 -1/4 (*.f64 x x) -1)))
(fmod.f64 (exp.f64 x) (/.f64 (fma.f64 1/16 (pow.f64 x 4) -1) (fma.f64 x (*.f64 -1/4 x) -1)))
(fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 1) (-.f64 (*.f64 -1/4 (pow.f64 x 2)) 1)))
(fmod.f64 (exp.f64 x) (/.f64 (fma.f64 1/16 (pow.f64 x 4) -1) (fma.f64 -1/4 (*.f64 x x) -1)))
(fmod.f64 (exp.f64 x) (/.f64 (fma.f64 1/16 (pow.f64 x 4) -1) (fma.f64 x (*.f64 -1/4 x) -1)))
(fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 1) (-.f64 (*.f64 -1/4 (pow.f64 x 2)) 1)))
(fmod.f64 (exp.f64 x) (/.f64 (fma.f64 1/16 (pow.f64 x 4) -1) (fma.f64 -1/4 (*.f64 x x) -1)))
(fmod.f64 (exp.f64 x) (/.f64 (fma.f64 1/16 (pow.f64 x 4) -1) (fma.f64 x (*.f64 -1/4 x) -1)))
(fmod.f64 (exp.f64 x) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 1) (+.f64 1 (*.f64 1/4 (pow.f64 x 2))))))
(fmod.f64 (exp.f64 x) (neg.f64 (/.f64 (fma.f64 1/16 (pow.f64 x 4) -1) (+.f64 1 (*.f64 (*.f64 x x) 1/4)))))
(fmod.f64 (exp.f64 x) (/.f64 (neg.f64 (fma.f64 1/16 (pow.f64 x 4) -1)) (fma.f64 (*.f64 x x) 1/4 1)))
(fmod.f64 (exp.f64 x) (/.f64 (+.f64 1 (*.f64 (pow.f64 x 4) -1/16)) (fma.f64 x (*.f64 x 1/4) 1)))
(fmod.f64 (exp.f64 x) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 1) (+.f64 1 (*.f64 1/4 (pow.f64 x 2))))))
(fmod.f64 (exp.f64 x) (neg.f64 (/.f64 (fma.f64 1/16 (pow.f64 x 4) -1) (+.f64 1 (*.f64 (*.f64 x x) 1/4)))))
(fmod.f64 (exp.f64 x) (/.f64 (neg.f64 (fma.f64 1/16 (pow.f64 x 4) -1)) (fma.f64 (*.f64 x x) 1/4 1)))
(fmod.f64 (exp.f64 x) (/.f64 (+.f64 1 (*.f64 (pow.f64 x 4) -1/16)) (fma.f64 x (*.f64 x 1/4) 1)))
(fmod.f64 (exp.f64 x) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 1) (+.f64 1 (*.f64 1/4 (pow.f64 x 2))))))
(fmod.f64 (exp.f64 x) (neg.f64 (/.f64 (fma.f64 1/16 (pow.f64 x 4) -1) (+.f64 1 (*.f64 (*.f64 x x) 1/4)))))
(fmod.f64 (exp.f64 x) (/.f64 (neg.f64 (fma.f64 1/16 (pow.f64 x 4) -1)) (fma.f64 (*.f64 x x) 1/4 1)))
(fmod.f64 (exp.f64 x) (/.f64 (+.f64 1 (*.f64 (pow.f64 x 4) -1/16)) (fma.f64 x (*.f64 x 1/4) 1)))
(fmod.f64 (exp.f64 x) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 1) (+.f64 1 (*.f64 1/4 (pow.f64 x 2))))))
(fmod.f64 (exp.f64 x) (neg.f64 (/.f64 (fma.f64 1/16 (pow.f64 x 4) -1) (+.f64 1 (*.f64 (*.f64 x x) 1/4)))))
(fmod.f64 (exp.f64 x) (/.f64 (neg.f64 (fma.f64 1/16 (pow.f64 x 4) -1)) (fma.f64 (*.f64 x x) 1/4 1)))
(fmod.f64 (exp.f64 x) (/.f64 (+.f64 1 (*.f64 (pow.f64 x 4) -1/16)) (fma.f64 x (*.f64 x 1/4) 1)))
(fmod.f64 (exp.f64 x) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 1) (+.f64 1 (*.f64 1/4 (pow.f64 x 2))))))
(fmod.f64 (exp.f64 x) (neg.f64 (/.f64 (fma.f64 1/16 (pow.f64 x 4) -1) (+.f64 1 (*.f64 (*.f64 x x) 1/4)))))
(fmod.f64 (exp.f64 x) (/.f64 (neg.f64 (fma.f64 1/16 (pow.f64 x 4) -1)) (fma.f64 (*.f64 x x) 1/4 1)))
(fmod.f64 (exp.f64 x) (/.f64 (+.f64 1 (*.f64 (pow.f64 x 4) -1/16)) (fma.f64 x (*.f64 x 1/4) 1)))
(fmod.f64 (exp.f64 x) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 1) (+.f64 1 (*.f64 1/4 (pow.f64 x 2))))))
(fmod.f64 (exp.f64 x) (neg.f64 (/.f64 (fma.f64 1/16 (pow.f64 x 4) -1) (+.f64 1 (*.f64 (*.f64 x x) 1/4)))))
(fmod.f64 (exp.f64 x) (/.f64 (neg.f64 (fma.f64 1/16 (pow.f64 x 4) -1)) (fma.f64 (*.f64 x x) 1/4 1)))
(fmod.f64 (exp.f64 x) (/.f64 (+.f64 1 (*.f64 (pow.f64 x 4) -1/16)) (fma.f64 x (*.f64 x 1/4) 1)))
(fmod.f64 (exp.f64 x) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 1) (+.f64 1 (*.f64 1/4 (pow.f64 x 2))))))
(fmod.f64 (exp.f64 x) (neg.f64 (/.f64 (fma.f64 1/16 (pow.f64 x 4) -1) (+.f64 1 (*.f64 (*.f64 x x) 1/4)))))
(fmod.f64 (exp.f64 x) (/.f64 (neg.f64 (fma.f64 1/16 (pow.f64 x 4) -1)) (fma.f64 (*.f64 x x) 1/4 1)))
(fmod.f64 (exp.f64 x) (/.f64 (+.f64 1 (*.f64 (pow.f64 x 4) -1/16)) (fma.f64 x (*.f64 x 1/4) 1)))
(fmod.f64 (exp.f64 x) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 1) (+.f64 1 (*.f64 1/4 (pow.f64 x 2))))))
(fmod.f64 (exp.f64 x) (neg.f64 (/.f64 (fma.f64 1/16 (pow.f64 x 4) -1) (+.f64 1 (*.f64 (*.f64 x x) 1/4)))))
(fmod.f64 (exp.f64 x) (/.f64 (neg.f64 (fma.f64 1/16 (pow.f64 x 4) -1)) (fma.f64 (*.f64 x x) 1/4 1)))
(fmod.f64 (exp.f64 x) (/.f64 (+.f64 1 (*.f64 (pow.f64 x 4) -1/16)) (fma.f64 x (*.f64 x 1/4) 1)))
(fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 1) (-.f64 (*.f64 -1/4 (pow.f64 x 2)) 1)))
(fmod.f64 (exp.f64 x) (/.f64 (fma.f64 1/16 (pow.f64 x 4) -1) (fma.f64 -1/4 (*.f64 x x) -1)))
(fmod.f64 (exp.f64 x) (/.f64 (fma.f64 1/16 (pow.f64 x 4) -1) (fma.f64 x (*.f64 -1/4 x) -1)))
(+.f64 (fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 1) (-.f64 (*.f64 -1/4 (pow.f64 x 2)) 1))) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 1) (-.f64 (*.f64 -1/4 (pow.f64 x 2)) 1))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (/.f64 (fma.f64 1/16 (pow.f64 x 4) -1) (fma.f64 -1/4 (*.f64 x x) -1))) (neg.f64 (*.f64 x (fmod.f64 (exp.f64 x) (/.f64 (fma.f64 1/16 (pow.f64 x 4) -1) (fma.f64 -1/4 (*.f64 x x) -1))))))
(-.f64 (fmod.f64 (exp.f64 x) (/.f64 (fma.f64 1/16 (pow.f64 x 4) -1) (fma.f64 -1/4 (*.f64 x x) -1))) (*.f64 x (fmod.f64 (exp.f64 x) (/.f64 (fma.f64 1/16 (pow.f64 x 4) -1) (fma.f64 -1/4 (*.f64 x x) -1)))))
(*.f64 (+.f64 (neg.f64 x) 1) (fmod.f64 (exp.f64 x) (/.f64 (fma.f64 1/16 (pow.f64 x 4) -1) (fma.f64 x (*.f64 -1/4 x) -1))))
(*.f64 (fmod.f64 (exp.f64 x) (/.f64 (fma.f64 1/16 (pow.f64 x 4) -1) (fma.f64 x (*.f64 -1/4 x) -1))) (-.f64 1 x))
(+.f64 (fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 1) (-.f64 (*.f64 -1/4 (pow.f64 x 2)) 1))) (+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 1) (-.f64 (*.f64 -1/4 (pow.f64 x 2)) 1))) x)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 1) (-.f64 (*.f64 -1/4 (pow.f64 x 2)) 1)))) (*.f64 1/2 (fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 1) (-.f64 (*.f64 -1/4 (pow.f64 x 2)) 1))))) (pow.f64 x 2)))))
(+.f64 (fmod.f64 (exp.f64 x) (/.f64 (fma.f64 1/16 (pow.f64 x 4) -1) (fma.f64 -1/4 (*.f64 x x) -1))) (fma.f64 -1 (*.f64 x (fmod.f64 (exp.f64 x) (/.f64 (fma.f64 1/16 (pow.f64 x 4) -1) (fma.f64 -1/4 (*.f64 x x) -1)))) (neg.f64 (*.f64 (*.f64 x x) (*.f64 (fmod.f64 (exp.f64 x) (/.f64 (fma.f64 1/16 (pow.f64 x 4) -1) (fma.f64 -1/4 (*.f64 x x) -1))) -1/2)))))
(fma.f64 -1 (fma.f64 x (fmod.f64 (exp.f64 x) (/.f64 (fma.f64 1/16 (pow.f64 x 4) -1) (fma.f64 -1/4 (*.f64 x x) -1))) (*.f64 x (*.f64 x (*.f64 (fmod.f64 (exp.f64 x) (/.f64 (fma.f64 1/16 (pow.f64 x 4) -1) (fma.f64 -1/4 (*.f64 x x) -1))) -1/2)))) (fmod.f64 (exp.f64 x) (/.f64 (fma.f64 1/16 (pow.f64 x 4) -1) (fma.f64 -1/4 (*.f64 x x) -1))))
(-.f64 (fmod.f64 (exp.f64 x) (/.f64 (fma.f64 1/16 (pow.f64 x 4) -1) (fma.f64 x (*.f64 -1/4 x) -1))) (*.f64 (fmod.f64 (exp.f64 x) (/.f64 (fma.f64 1/16 (pow.f64 x 4) -1) (fma.f64 x (*.f64 -1/4 x) -1))) (+.f64 x (*.f64 x (*.f64 x -1/2)))))
(*.f64 (fmod.f64 (exp.f64 x) (/.f64 (fma.f64 1/16 (pow.f64 x 4) -1) (fma.f64 x (*.f64 -1/4 x) -1))) (-.f64 1 (+.f64 x (*.f64 x (*.f64 x -1/2)))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 1) (-.f64 (*.f64 -1/4 (pow.f64 x 2)) 1)))) (*.f64 1/2 (fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 1) (-.f64 (*.f64 -1/4 (pow.f64 x 2)) 1)))))) (+.f64 (*.f64 1/6 (fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 1) (-.f64 (*.f64 -1/4 (pow.f64 x 2)) 1)))) (*.f64 -1/2 (fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 1) (-.f64 (*.f64 -1/4 (pow.f64 x 2)) 1)))))) (pow.f64 x 3))) (+.f64 (fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 1) (-.f64 (*.f64 -1/4 (pow.f64 x 2)) 1))) (+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 1) (-.f64 (*.f64 -1/4 (pow.f64 x 2)) 1))) x)) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 1) (-.f64 (*.f64 -1/4 (pow.f64 x 2)) 1)))) (*.f64 1/2 (fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 1) (-.f64 (*.f64 -1/4 (pow.f64 x 2)) 1))))) (pow.f64 x 2))))))
(fma.f64 -1 (*.f64 (fma.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (/.f64 (fma.f64 1/16 (pow.f64 x 4) -1) (fma.f64 -1/4 (*.f64 x x) -1))) -1/2) (*.f64 (fmod.f64 (exp.f64 x) (/.f64 (fma.f64 1/16 (pow.f64 x 4) -1) (fma.f64 -1/4 (*.f64 x x) -1))) -1/3)) (pow.f64 x 3)) (+.f64 (fmod.f64 (exp.f64 x) (/.f64 (fma.f64 1/16 (pow.f64 x 4) -1) (fma.f64 -1/4 (*.f64 x x) -1))) (fma.f64 -1 (*.f64 x (fmod.f64 (exp.f64 x) (/.f64 (fma.f64 1/16 (pow.f64 x 4) -1) (fma.f64 -1/4 (*.f64 x x) -1)))) (neg.f64 (*.f64 (*.f64 x x) (*.f64 (fmod.f64 (exp.f64 x) (/.f64 (fma.f64 1/16 (pow.f64 x 4) -1) (fma.f64 -1/4 (*.f64 x x) -1))) -1/2))))))
(-.f64 (fma.f64 -1 (fma.f64 x (fmod.f64 (exp.f64 x) (/.f64 (fma.f64 1/16 (pow.f64 x 4) -1) (fma.f64 -1/4 (*.f64 x x) -1))) (*.f64 x (*.f64 x (*.f64 (fmod.f64 (exp.f64 x) (/.f64 (fma.f64 1/16 (pow.f64 x 4) -1) (fma.f64 -1/4 (*.f64 x x) -1))) -1/2)))) (fmod.f64 (exp.f64 x) (/.f64 (fma.f64 1/16 (pow.f64 x 4) -1) (fma.f64 -1/4 (*.f64 x x) -1)))) (*.f64 (fma.f64 (fmod.f64 (exp.f64 x) (/.f64 (fma.f64 1/16 (pow.f64 x 4) -1) (fma.f64 -1/4 (*.f64 x x) -1))) -1/3 (*.f64 (fmod.f64 (exp.f64 x) (/.f64 (fma.f64 1/16 (pow.f64 x 4) -1) (fma.f64 -1/4 (*.f64 x x) -1))) 1/2)) (pow.f64 x 3)))
(-.f64 (fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (/.f64 (fma.f64 1/16 (pow.f64 x 4) -1) (fma.f64 x (*.f64 -1/4 x) -1))) 1/6) (neg.f64 (pow.f64 x 3)) (fmod.f64 (exp.f64 x) (/.f64 (fma.f64 1/16 (pow.f64 x 4) -1) (fma.f64 x (*.f64 -1/4 x) -1)))) (*.f64 (fmod.f64 (exp.f64 x) (/.f64 (fma.f64 1/16 (pow.f64 x 4) -1) (fma.f64 x (*.f64 -1/4 x) -1))) (+.f64 x (*.f64 x (*.f64 x -1/2)))))
(fma.f64 (pow.f64 x 3) (*.f64 (fmod.f64 (exp.f64 x) (/.f64 (fma.f64 1/16 (pow.f64 x 4) -1) (fma.f64 x (*.f64 -1/4 x) -1))) -1/6) (*.f64 (fmod.f64 (exp.f64 x) (/.f64 (fma.f64 1/16 (pow.f64 x 4) -1) (fma.f64 x (*.f64 -1/4 x) -1))) (-.f64 1 (+.f64 x (*.f64 x (*.f64 x -1/2))))))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 1) (+.f64 1 (*.f64 1/4 (pow.f64 x 2)))))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (neg.f64 (/.f64 (fma.f64 1/16 (pow.f64 x 4) -1) (+.f64 1 (*.f64 (*.f64 x x) 1/4))))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 (neg.f64 (fma.f64 1/16 (pow.f64 x 4) -1)) (fma.f64 (*.f64 x x) 1/4 1))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 (+.f64 1 (*.f64 (pow.f64 x 4) -1/16)) (fma.f64 x (*.f64 x 1/4) 1))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 1) (+.f64 1 (*.f64 1/4 (pow.f64 x 2)))))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (neg.f64 (/.f64 (fma.f64 1/16 (pow.f64 x 4) -1) (+.f64 1 (*.f64 (*.f64 x x) 1/4))))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 (neg.f64 (fma.f64 1/16 (pow.f64 x 4) -1)) (fma.f64 (*.f64 x x) 1/4 1))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 (+.f64 1 (*.f64 (pow.f64 x 4) -1/16)) (fma.f64 x (*.f64 x 1/4) 1))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 1) (+.f64 1 (*.f64 1/4 (pow.f64 x 2)))))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (neg.f64 (/.f64 (fma.f64 1/16 (pow.f64 x 4) -1) (+.f64 1 (*.f64 (*.f64 x x) 1/4))))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 (neg.f64 (fma.f64 1/16 (pow.f64 x 4) -1)) (fma.f64 (*.f64 x x) 1/4 1))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 (+.f64 1 (*.f64 (pow.f64 x 4) -1/16)) (fma.f64 x (*.f64 x 1/4) 1))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 1) (+.f64 1 (*.f64 1/4 (pow.f64 x 2)))))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (neg.f64 (/.f64 (fma.f64 1/16 (pow.f64 x 4) -1) (+.f64 1 (*.f64 (*.f64 x x) 1/4))))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 (neg.f64 (fma.f64 1/16 (pow.f64 x 4) -1)) (fma.f64 (*.f64 x x) 1/4 1))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 (+.f64 1 (*.f64 (pow.f64 x 4) -1/16)) (fma.f64 x (*.f64 x 1/4) 1))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 1) (+.f64 1 (*.f64 1/4 (pow.f64 x 2)))))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (neg.f64 (/.f64 (fma.f64 1/16 (pow.f64 x 4) -1) (+.f64 1 (*.f64 (*.f64 x x) 1/4))))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 (neg.f64 (fma.f64 1/16 (pow.f64 x 4) -1)) (fma.f64 (*.f64 x x) 1/4 1))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 (+.f64 1 (*.f64 (pow.f64 x 4) -1/16)) (fma.f64 x (*.f64 x 1/4) 1))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 1) (+.f64 1 (*.f64 1/4 (pow.f64 x 2)))))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (neg.f64 (/.f64 (fma.f64 1/16 (pow.f64 x 4) -1) (+.f64 1 (*.f64 (*.f64 x x) 1/4))))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 (neg.f64 (fma.f64 1/16 (pow.f64 x 4) -1)) (fma.f64 (*.f64 x x) 1/4 1))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 (+.f64 1 (*.f64 (pow.f64 x 4) -1/16)) (fma.f64 x (*.f64 x 1/4) 1))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 1) (+.f64 1 (*.f64 1/4 (pow.f64 x 2)))))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (neg.f64 (/.f64 (fma.f64 1/16 (pow.f64 x 4) -1) (+.f64 1 (*.f64 (*.f64 x x) 1/4))))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 (neg.f64 (fma.f64 1/16 (pow.f64 x 4) -1)) (fma.f64 (*.f64 x x) 1/4 1))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 (+.f64 1 (*.f64 (pow.f64 x 4) -1/16)) (fma.f64 x (*.f64 x 1/4) 1))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 -1 (/.f64 (-.f64 (*.f64 1/16 (pow.f64 x 4)) 1) (+.f64 1 (*.f64 1/4 (pow.f64 x 2)))))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (neg.f64 (/.f64 (fma.f64 1/16 (pow.f64 x 4) -1) (+.f64 1 (*.f64 (*.f64 x x) 1/4))))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 (neg.f64 (fma.f64 1/16 (pow.f64 x 4) -1)) (fma.f64 (*.f64 x x) 1/4 1))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 (+.f64 1 (*.f64 (pow.f64 x 4) -1/16)) (fma.f64 x (*.f64 x 1/4) 1))) (exp.f64 x))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (*.f64 x x))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (*.f64 x x))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (*.f64 x x))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (*.f64 x x))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (*.f64 x x))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (*.f64 x x))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (*.f64 x x))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (*.f64 x x))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (*.f64 x x))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (*.f64 x x))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (*.f64 x x))
(*.f64 -1/4 (pow.f64 x 2))
(*.f64 -1/4 (*.f64 x x))

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(fma.f64 (*.f64 x x) -1/4 1)
0.3b
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x))
✓2.9b
(-.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x))) 1)
4.6b
(fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))
Compiler

Compiled 66 to 33 computations (50% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite70.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
468×log-prod_binary64
461×prod-diff_binary64
394×fma-def_binary64
274×pow2_binary64
266×pow-prod-down_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01124
123818
2321018
Stop Event
1×node limit
Counts
1 → 102
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x))) 1)
Outputs
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(*.f64 x -1/4) 1)) (exp.f64 (neg.f64 x)) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))) 2) (*.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))) (exp.f64 (neg.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x))) (cbrt.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x)) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x)) 2)) (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 (neg.f64 x)) 1)) (pow.f64 (cbrt.f64 (fma.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 (neg.f64 x)) 1)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 (neg.f64 x)) 1)) 2) (cbrt.f64 (fma.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 (neg.f64 x)) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 (neg.f64 x)) 1)) 2) (*.f64 (cbrt.f64 (fma.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 (neg.f64 x)) 1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))) (*.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))) (exp.f64 (neg.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x))) (sqrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 (neg.f64 x)) 1)) (sqrt.f64 (fma.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 (neg.f64 x)) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 (neg.f64 x)) 1)) (*.f64 (sqrt.f64 (fma.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 (neg.f64 x)) 1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))) (/.f64 1 (neg.f64 (exp.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x))))) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 (neg.f64 x)) 1) 2) (+.f64 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x)) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x)) 3)) (/.f64 1 (fma.f64 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x)) (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))) x)) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x))))) (/.f64 1 (+.f64 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x)) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x)) 2)) (/.f64 1 (-.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))) x))) 2) (cbrt.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))) x))) (sqrt.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))) 2) 1) (/.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))) (exp.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))) 1) (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))) (exp.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) -2) (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (cbrt.f64 (exp.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))) 2) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))) (cbrt.f64 (exp.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (exp.f64 x) -1/2) (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (sqrt.f64 (exp.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))) 2) (sqrt.f64 (exp.f64 x))) (/.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))) (sqrt.f64 (exp.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 (neg.f64 x)) 1)) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x))) 1) (-.f64 (sqrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x))) 1) 1)))))

simplify65.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
470×associate--r+_binary64
433×associate--l+_binary64
344×associate-+l-_binary64
339×distribute-rgt-out_binary64
294×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
036366
1113340
2425283
32320256
47886256
Stop Event
1×node limit
Counts
114 → 111
Calls
Call 1
Inputs
(fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1))
(+.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) x)))
(+.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) (+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) x)) (*.f64 -1 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 1/2 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1))) (*.f64 -1 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1))))))))
(+.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) (+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1))) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1))) (*.f64 -1 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1))))) (*.f64 -1/2 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1))))) (pow.f64 x 3))) (*.f64 -1 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 1/2 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1))) (*.f64 -1 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)))))))))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) (exp.f64 x))
Outputs
(fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1))
(fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))
(+.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) x)))
(+.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (*.f64 (neg.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))) x))
(-.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))))
(*.f64 (+.f64 (neg.f64 x) 1) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (-.f64 1 x))
(+.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) (+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) x)) (*.f64 -1 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 1/2 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1))) (*.f64 -1 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1))))))))
(+.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (fma.f64 -1 (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))) (neg.f64 (*.f64 (*.f64 x x) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) -1/2)))))
(fma.f64 -1 (fma.f64 x (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (*.f64 -1/2 (*.f64 x x)))) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)))
(+.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (-.f64 (*.f64 x (*.f64 x 1/2)) x)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (-.f64 (+.f64 1 (*.f64 x (*.f64 x 1/2))) x))
(+.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) (+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1))) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1))) (*.f64 -1 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1))))) (*.f64 -1/2 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1))))) (pow.f64 x 3))) (*.f64 -1 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 1/2 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1))) (*.f64 -1 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)))))))))
(+.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (fma.f64 -1 (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))) (fma.f64 -1 (*.f64 (fma.f64 1/6 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (fma.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) -1/2) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) -1/2))) (pow.f64 x 3)) (neg.f64 (*.f64 (*.f64 x x) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) -1/2))))))
(+.f64 (-.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)))) (-.f64 (*.f64 (*.f64 x x) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) 1/2)) (*.f64 (fma.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) 1/6 (*.f64 0 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) -1/2))) (pow.f64 x 3))))
(+.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (fma.f64 (fma.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) 1/6 0) (neg.f64 (pow.f64 x 3)) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (-.f64 (*.f64 x (*.f64 x 1/2)) x))))
(+.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (-.f64 1 x)) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (-.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 1/6 (pow.f64 x 3)))))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) -1/4 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x))

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(cbrt.f64 (exp.f64 x))
✓0.3b
(/.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (exp.f64 (*.f64 x 2)))) (cbrt.f64 (exp.f64 x)))
✓0.3b
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (exp.f64 (*.f64 x 2))))
4.6b
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
Compiler

Compiled 59 to 27 computations (54.2% saved)

series16.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite82.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
622×log-prod_binary64
369×pow-prod-down_binary64
311×pow2_binary64
236×pow-unpow_binary64
233×pow-pow_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01352
126140
2335538
Stop Event
1×node limit
Counts
3 → 123
Calls
Call 1
Inputs
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (exp.f64 (*.f64 x 2))))
(/.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (exp.f64 (*.f64 x 2)))) (cbrt.f64 (exp.f64 x)))
(cbrt.f64 (exp.f64 x))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (exp.f64 (*.f64 2/3 x)))) (/.f64 (exp.f64 (neg.f64 (*.f64 2/3 x))) (cbrt.f64 (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) (cbrt.f64 (exp.f64 x))) (/.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (exp.f64 (*.f64 2/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1) (/.f64 1 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (*.f64 2/3 x)))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (*.f64 2/3 x)))) (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (cbrt.f64 (exp.f64 x))) 1) (/.f64 (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (cbrt.f64 (exp.f64 x))) (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) -2) (/.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (*.f64 2/3 x))) (cbrt.f64 (cbrt.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (*.f64 2/3 x)))) 2) (cbrt.f64 (exp.f64 (*.f64 2/3 x)))) (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 (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (cbrt.f64 (exp.f64 x))) (cbrt.f64 (exp.f64 (*.f64 2/3 x)))) (/.f64 (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (cbrt.f64 (exp.f64 x))) (cbrt.f64 (cbrt.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (*.f64 1/6 x))) (/.f64 (exp.f64 (neg.f64 (*.f64 2/3 x))) (exp.f64 (*.f64 1/6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 x) -1/6) (/.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (*.f64 2/3 x))) (exp.f64 (*.f64 1/6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (*.f64 2/3 x)))) 2) (exp.f64 (*.f64 1/6 x))) (/.f64 (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (*.f64 2/3 x)))) (exp.f64 (*.f64 1/6 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)) 2) 1/2)))) (#(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 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (exp.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (*.f64 2/3 x))) 3) (exp.f64 x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (exp.f64 (*.f64 2/3 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (cbrt.f64 (exp.f64 x))) -1)))) (#(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 pow.f64 (/.f64 (*.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (exp.f64 x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (*.f64 2/3 x))) (neg.f64 (cbrt.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 log.f64 (+.f64 1 (expm1.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 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (*.f64 2/3 x))) 3) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (exp.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (exp.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) (cbrt.f64 (exp.f64 (*.f64 2/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (*.f64 2/3 x))) (cbrt.f64 (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (*.f64 1/6 x)) (exp.f64 (*.f64 1/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) 4)) (sqrt.f64 (cbrt.f64 (exp.f64 (*.f64 2/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 x) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (*.f64 2/3 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 2) (*.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 x) 6) 1/18)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 x) 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (*.f64 2/3 x))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (*.f64 1/6 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 x)) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (*.f64 (*.f64 x x) 4))) (*.f64 (cbrt.f64 (+.f64 x x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (*.f64 (+.f64 x x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (+.f64 x x))) (*.f64 (sqrt.f64 (+.f64 x x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (exp.f64 (*.f64 2/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 x 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 x) 1))))))

simplify57.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
596×distribute-lft-out_binary64
558×cancel-sign-sub-inv_binary64
523×fma-neg_binary64
512×associate-*l*_binary64
388×associate-*r*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
055760
1154704
2403624
31287590
43567567
Stop Event
1×node limit
Counts
159 → 148
Calls
Call 1
Inputs
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+.f64 (*.f64 -2/3 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(+.f64 (*.f64 -2/3 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)) (+.f64 (*.f64 2/9 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 x 2))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(+.f64 (*.f64 -4/81 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 x 3))) (+.f64 (*.f64 -2/3 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)) (+.f64 (*.f64 2/9 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 x 2))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(*.f64 (pow.f64 (/.f64 1 (exp.f64 (*.f64 2 x))) 1/3) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (pow.f64 (/.f64 1 (exp.f64 (*.f64 2 x))) 1/3) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (pow.f64 (/.f64 1 (exp.f64 (*.f64 2 x))) 1/3) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (pow.f64 (/.f64 1 (exp.f64 (*.f64 2 x))) 1/3) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (pow.f64 (/.f64 1 (exp.f64 (*.f64 2 x))) 1/3) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (pow.f64 (/.f64 1 (exp.f64 (*.f64 2 x))) 1/3) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (pow.f64 (/.f64 1 (exp.f64 (*.f64 2 x))) 1/3) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (pow.f64 (/.f64 1 (exp.f64 (*.f64 2 x))) 1/3) (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)))))
(*.f64 (pow.f64 (/.f64 1 (*.f64 (exp.f64 x) (exp.f64 (*.f64 2 x)))) 1/3) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (pow.f64 (/.f64 1 (*.f64 (exp.f64 x) (exp.f64 (*.f64 2 x)))) 1/3) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (pow.f64 (/.f64 1 (*.f64 (exp.f64 x) (exp.f64 (*.f64 2 x)))) 1/3) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (pow.f64 (/.f64 1 (*.f64 (exp.f64 x) (exp.f64 (*.f64 2 x)))) 1/3) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (pow.f64 (/.f64 1 (*.f64 (exp.f64 x) (exp.f64 (*.f64 2 x)))) 1/3) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (pow.f64 (/.f64 1 (*.f64 (exp.f64 x) (exp.f64 (*.f64 2 x)))) 1/3) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (pow.f64 (/.f64 1 (*.f64 (exp.f64 x) (exp.f64 (*.f64 2 x)))) 1/3) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (pow.f64 (/.f64 1 (*.f64 (exp.f64 x) (exp.f64 (*.f64 2 x)))) 1/3) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
1
(+.f64 1 (*.f64 1/3 x))
(+.f64 1 (+.f64 (*.f64 1/18 (pow.f64 x 2)) (*.f64 1/3 x)))
(+.f64 1 (+.f64 (*.f64 1/162 (pow.f64 x 3)) (+.f64 (*.f64 1/18 (pow.f64 x 2)) (*.f64 1/3 x))))
(pow.f64 (exp.f64 x) 1/3)
(pow.f64 (exp.f64 x) 1/3)
(pow.f64 (exp.f64 x) 1/3)
(pow.f64 (exp.f64 x) 1/3)
(pow.f64 (exp.f64 x) 1/3)
(pow.f64 (exp.f64 x) 1/3)
(pow.f64 (exp.f64 x) 1/3)
(pow.f64 (exp.f64 x) 1/3)
Outputs
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+.f64 (*.f64 -2/3 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(fma.f64 -2/3 (*.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (+.f64 (*.f64 x -2/3) 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 x -2/3)))
(+.f64 (*.f64 -2/3 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)) (+.f64 (*.f64 2/9 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 x 2))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fma.f64 -2/3 (*.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fma.f64 2/9 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fma.f64 -2/3 (*.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fma.f64 2/9 (*.f64 x (*.f64 x (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 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (*.f64 x -2/3) (*.f64 x (*.f64 x 2/9)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (*.f64 x -2/3) (+.f64 1 (*.f64 2/9 (*.f64 x x)))))
(*.f64 (+.f64 (*.f64 x (+.f64 -2/3 (*.f64 x 2/9))) 1) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(+.f64 (*.f64 -4/81 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 x 3))) (+.f64 (*.f64 -2/3 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)) (+.f64 (*.f64 2/9 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 x 2))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(fma.f64 -4/81 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 x 3)) (fma.f64 -2/3 (*.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fma.f64 2/9 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(fma.f64 -4/81 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 x 3)) (fma.f64 -2/3 (*.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fma.f64 2/9 (*.f64 x (*.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(+.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x 2/9)) 1) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (*.f64 x -2/3) (*.f64 -4/81 (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 -4/81 (pow.f64 x 3)) (*.f64 x (+.f64 -2/3 (*.f64 x 2/9))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (*.f64 x (+.f64 -2/3 (*.f64 x 2/9))) (+.f64 1 (*.f64 -4/81 (pow.f64 x 3)))))
(*.f64 (pow.f64 (/.f64 1 (exp.f64 (*.f64 2 x))) 1/3) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (exp.f64 (neg.f64 (*.f64 x 2)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (exp.f64 (*.f64 x -2))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 x) -2)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 -2) x)))
(*.f64 (pow.f64 (/.f64 1 (exp.f64 (*.f64 2 x))) 1/3) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
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(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (exp.f64 (*.f64 x -2))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 x) -2)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 -2) x)))
(*.f64 (pow.f64 (/.f64 1 (exp.f64 (*.f64 2 x))) 1/3) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
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(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (exp.f64 (*.f64 x -2))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 x) -2)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 -2) x)))
(*.f64 (pow.f64 (/.f64 1 (exp.f64 (*.f64 2 x))) 1/3) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
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(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (exp.f64 (*.f64 x -2))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 x) -2)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 -2) x)))
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(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (exp.f64 (*.f64 x -2))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 x) -2)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 -2) x)))
(*.f64 (pow.f64 (/.f64 1 (exp.f64 (*.f64 2 x))) 1/3) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
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(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (exp.f64 (*.f64 x -2))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 x) -2)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 -2) x)))
(*.f64 (pow.f64 (/.f64 1 (exp.f64 (*.f64 2 x))) 1/3) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (exp.f64 (neg.f64 (*.f64 x 2)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (exp.f64 (*.f64 x -2))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 x) -2)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 -2) x)))
(*.f64 (pow.f64 (/.f64 1 (exp.f64 (*.f64 2 x))) 1/3) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (exp.f64 (neg.f64 (*.f64 x 2)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (exp.f64 (*.f64 x -2))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 x) -2)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 -2) 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))) (+.f64 1 (neg.f64 x)))
(*.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 (*.f64 x (*.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 1/2 (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 (*.f64 x x) 1/2) (neg.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (+.f64 1 (*.f64 x (*.f64 x 1/2))) x))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2))))
(+.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 (*.f64 x (*.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 1/2 (-.f64 (fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 x 3)) -1/6 (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 (*.f64 x x) 1/2) (*.f64 (pow.f64 x 3) -1/6))))
(+.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 (-.f64 1 x) (*.f64 x (*.f64 x (+.f64 1/2 (*.f64 x -1/6))))))
(*.f64 (pow.f64 (/.f64 1 (*.f64 (exp.f64 x) (exp.f64 (*.f64 2 x)))) 1/3) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (/.f64 1 (exp.f64 (+.f64 x (*.f64 x 2))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (exp.f64 (neg.f64 (*.f64 3 x)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (exp.f64 (*.f64 -3 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 -3) x)))
(*.f64 (pow.f64 (/.f64 1 (*.f64 (exp.f64 x) (exp.f64 (*.f64 2 x)))) 1/3) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (/.f64 1 (exp.f64 (+.f64 x (*.f64 x 2))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (exp.f64 (neg.f64 (*.f64 3 x)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (exp.f64 (*.f64 -3 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 -3) x)))
(*.f64 (pow.f64 (/.f64 1 (*.f64 (exp.f64 x) (exp.f64 (*.f64 2 x)))) 1/3) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (/.f64 1 (exp.f64 (+.f64 x (*.f64 x 2))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (exp.f64 (neg.f64 (*.f64 3 x)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (exp.f64 (*.f64 -3 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 -3) x)))
(*.f64 (pow.f64 (/.f64 1 (*.f64 (exp.f64 x) (exp.f64 (*.f64 2 x)))) 1/3) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (/.f64 1 (exp.f64 (+.f64 x (*.f64 x 2))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (exp.f64 (neg.f64 (*.f64 3 x)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (exp.f64 (*.f64 -3 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 -3) x)))
(*.f64 (pow.f64 (/.f64 1 (*.f64 (exp.f64 x) (exp.f64 (*.f64 2 x)))) 1/3) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (/.f64 1 (exp.f64 (+.f64 x (*.f64 x 2))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (exp.f64 (neg.f64 (*.f64 3 x)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (exp.f64 (*.f64 -3 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 -3) x)))
(*.f64 (pow.f64 (/.f64 1 (*.f64 (exp.f64 x) (exp.f64 (*.f64 2 x)))) 1/3) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (/.f64 1 (exp.f64 (+.f64 x (*.f64 x 2))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (exp.f64 (neg.f64 (*.f64 3 x)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (exp.f64 (*.f64 -3 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 -3) x)))
(*.f64 (pow.f64 (/.f64 1 (*.f64 (exp.f64 x) (exp.f64 (*.f64 2 x)))) 1/3) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (/.f64 1 (exp.f64 (+.f64 x (*.f64 x 2))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (exp.f64 (neg.f64 (*.f64 3 x)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (exp.f64 (*.f64 -3 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 -3) x)))
(*.f64 (pow.f64 (/.f64 1 (*.f64 (exp.f64 x) (exp.f64 (*.f64 2 x)))) 1/3) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (/.f64 1 (exp.f64 (+.f64 x (*.f64 x 2))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (exp.f64 (neg.f64 (*.f64 3 x)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (exp.f64 (*.f64 -3 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 -3) x)))
1
(+.f64 1 (*.f64 1/3 x))
(+.f64 1 (*.f64 x 1/3))
(fma.f64 x 1/3 1)
(+.f64 1 (+.f64 (*.f64 1/18 (pow.f64 x 2)) (*.f64 1/3 x)))
(+.f64 1 (fma.f64 1/18 (*.f64 x x) (*.f64 x 1/3)))
(+.f64 (fma.f64 x 1/3 1) (*.f64 (*.f64 x x) 1/18))
(fma.f64 x 1/3 (fma.f64 x (*.f64 x 1/18) 1))
(fma.f64 x 1/3 (fma.f64 (*.f64 x x) 1/18 1))
(+.f64 1 (+.f64 (*.f64 1/162 (pow.f64 x 3)) (+.f64 (*.f64 1/18 (pow.f64 x 2)) (*.f64 1/3 x))))
(+.f64 1 (fma.f64 1/162 (pow.f64 x 3) (fma.f64 1/18 (*.f64 x x) (*.f64 x 1/3))))
(+.f64 1 (fma.f64 (pow.f64 x 3) 1/162 (fma.f64 x 1/3 (*.f64 (*.f64 x x) 1/18))))
(fma.f64 (pow.f64 x 3) 1/162 (fma.f64 x 1/3 (fma.f64 x (*.f64 x 1/18) 1)))
(+.f64 1 (*.f64 x (+.f64 1/3 (*.f64 x (+.f64 1/18 (*.f64 x 1/162))))))
(fma.f64 (pow.f64 x 3) 1/162 (fma.f64 x 1/3 (fma.f64 (*.f64 x x) 1/18 1)))
(pow.f64 (exp.f64 x) 1/3)
(cbrt.f64 (exp.f64 x))
(pow.f64 (exp.f64 x) 1/3)
(cbrt.f64 (exp.f64 x))
(pow.f64 (exp.f64 x) 1/3)
(cbrt.f64 (exp.f64 x))
(pow.f64 (exp.f64 x) 1/3)
(cbrt.f64 (exp.f64 x))
(pow.f64 (exp.f64 x) 1/3)
(cbrt.f64 (exp.f64 x))
(pow.f64 (exp.f64 x) 1/3)
(cbrt.f64 (exp.f64 x))
(pow.f64 (exp.f64 x) 1/3)
(cbrt.f64 (exp.f64 x))
(pow.f64 (exp.f64 x) 1/3)
(cbrt.f64 (exp.f64 x))

eval472.0ms (2.9%)

Compiler

Compiled 26249 to 13395 computations (49% saved)

prune132.0ms (0.8%)

Pruning

27 alts after pruning (19 fresh and 8 done)

PrunedKeptTotal
New9127919
Fresh41216
Picked011
Done3710
Total91927946
Error
24.5b
Counts
946 → 27
Alt Table
Click to see full alt table
StatusErrorProgram
✓59.6b
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
36.1b
1
59.1b
(*.f64 (-.f64 (+.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1) (+.f64 1 (*.f64 x (+.f64 -1 (*.f64 x (+.f64 1/2 (*.f64 x -1/6)))))))
58.3b
(exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 2) x))
58.9b
(/.f64 (fmod.f64 (exp.f64 x) (-.f64 (*.f64 x (*.f64 x -1/4)) -1)) (exp.f64 x))
58.3b
(/.f64 1 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
60.0b
(pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) 1) 3) 1/3)
58.3b
(log.f64 (exp.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))
58.8b
(-.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) -1/4) (*.f64 (*.f64 x x) -1/4)) 1) (-.f64 (*.f64 (*.f64 x x) -1/4) 1))) (exp.f64 x))) 1)
✓58.9b
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) -1/4) (*.f64 (*.f64 x x) -1/4)) 1) (-.f64 (*.f64 (*.f64 x x) -1/4) 1))) (exp.f64 x))
60.0b
(pow.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) 1)) 2)
✓58.4b
(/.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (exp.f64 (*.f64 x 2)))) (cbrt.f64 (exp.f64 x)))
59.4b
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 1 (sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x -1/6 1/2) -1)) 2))))
59.6b
(-.f64 (+.f64 1 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))) 1)
59.5b
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (-.f64 1 x))
✓58.3b
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
✓59.1b
(*.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)))))))
59.4b
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 (+.f64 x (*.f64 (*.f64 x x) -1/2))))
62.0b
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4))) (exp.f64 x))
✓60.0b
(fmod.f64 (exp.f64 x) 1)
✓27.4b
(exp.f64 (neg.f64 x))
58.6b
(/.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (*.f64 2/3 x))))) 1) (cbrt.f64 (exp.f64 x)))
60.1b
(log.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1)))
58.6b
(*.f64 (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1) (log.f64 (exp.f64 (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (exp.f64 x)))))
58.8b
(-.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (+.f64 (*.f64 (*.f64 x x) -1/4) 1)) (exp.f64 x))) 1)
✓58.3b
(-.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 1)
58.8b
(/.f64 (-.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))) x)) 2)) (-.f64 1 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))) x))))
Compiler

Compiled 414 to 296 computations (28.5% saved)

regimes89.0ms (0.5%)

Counts
48 → 2
Calls
Call 1
Inputs
1
(exp.f64 (neg.f64 x))
(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) (-.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) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (-.f64 (*.f64 x (*.f64 x -1/4)) -1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 (*.f64 (*.f64 x x) -1/4) 1)) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (-.f64 1 x))
(-.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (+.f64 (*.f64 (*.f64 x x) -1/4) 1)) (exp.f64 x))) 1)
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) -1/4) (*.f64 (*.f64 x x) -1/4)) 1) (-.f64 (*.f64 (*.f64 x x) -1/4) 1))) (exp.f64 x))
(-.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) -1/4) (*.f64 (*.f64 x x) -1/4)) 1) (-.f64 (*.f64 (*.f64 x x) -1/4) 1))) (exp.f64 x))) 1)
(log.f64 (exp.f64 (fmod.f64 (exp.f64 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)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x))
(-.f64 (+.f64 1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))) 1)
(-.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x))) 1)
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 (*.f64 x x))) (+.f64 x 1))
(-.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x))) 1)
(*.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)))))))
(*.f64 (-.f64 (+.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1) (+.f64 1 (*.f64 x (+.f64 -1 (*.f64 x (+.f64 1/2 (*.f64 x -1/6)))))))
(log.f64 (exp.f64 (/.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 1 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(-.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 1)
(exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))
(log.f64 (exp.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))
(log.f64 (exp.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))
(log.f64 (exp.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))
(exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 2) x))
(exp.f64 (-.f64 (log.f64 (pow.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2)) x))
(/.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (exp.f64 (*.f64 x 2)))) (cbrt.f64 (exp.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 1 (sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x -1/6 1/2) -1)) 2))))
(/.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (*.f64 2/3 x))))) 1) (cbrt.f64 (exp.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1) (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 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)))
(/.f64 (-.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))) x)) 2)) (-.f64 1 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))) x))))
(*.f64 (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1) (log.f64 (exp.f64 (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (exp.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1) (/.f64 (sqrt.f64 (log.f64 (exp.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (exp.f64 x)))
(/.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))))
(pow.f64 (pow.f64 (exp.f64 1) (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x))) (/.f64 1 (+.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))))
Outputs
(pow.f64 (pow.f64 (exp.f64 1) (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x))) (/.f64 1 (+.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))
(exp.f64 (neg.f64 x))
Calls

3 calls:

57.0ms
x
8.0ms
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
7.0ms
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Results
ErrorSegmentsBranch
25.0b2x
25.3b2(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
25.3b2(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Compiler

Compiled 725 to 321 computations (55.7% saved)

bsearch34.0ms (0.2%)

Algorithm
1×binary-search
Steps
TimeLeftRight
33.0ms
0.5186950637553355
3717325.8016343997
Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes136.0ms (0.8%)

Counts
46 → 3
Calls
Call 1
Inputs
1
(exp.f64 (neg.f64 x))
(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) (-.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) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (-.f64 (*.f64 x (*.f64 x -1/4)) -1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 (*.f64 (*.f64 x x) -1/4) 1)) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (-.f64 1 x))
(-.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (+.f64 (*.f64 (*.f64 x x) -1/4) 1)) (exp.f64 x))) 1)
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) -1/4) (*.f64 (*.f64 x x) -1/4)) 1) (-.f64 (*.f64 (*.f64 x x) -1/4) 1))) (exp.f64 x))
(-.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) -1/4) (*.f64 (*.f64 x x) -1/4)) 1) (-.f64 (*.f64 (*.f64 x x) -1/4) 1))) (exp.f64 x))) 1)
(log.f64 (exp.f64 (fmod.f64 (exp.f64 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)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x))
(-.f64 (+.f64 1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))) 1)
(-.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x))) 1)
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 (*.f64 x x))) (+.f64 x 1))
(-.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x))) 1)
(*.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)))))))
(*.f64 (-.f64 (+.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1) (+.f64 1 (*.f64 x (+.f64 -1 (*.f64 x (+.f64 1/2 (*.f64 x -1/6)))))))
(log.f64 (exp.f64 (/.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 1 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(-.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 1)
(exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))
(log.f64 (exp.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))
(log.f64 (exp.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))
(log.f64 (exp.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))
(exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 2) x))
(exp.f64 (-.f64 (log.f64 (pow.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2)) x))
(/.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (exp.f64 (*.f64 x 2)))) (cbrt.f64 (exp.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 1 (sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x -1/6 1/2) -1)) 2))))
(/.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (*.f64 2/3 x))))) 1) (cbrt.f64 (exp.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1) (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 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)))
(/.f64 (-.f64 1 (pow.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))) x)) 2)) (-.f64 1 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))) x))))
(*.f64 (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1) (log.f64 (exp.f64 (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (exp.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1) (/.f64 (sqrt.f64 (log.f64 (exp.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (exp.f64 x)))
(/.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))))
Outputs
1
(-.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 1)
(exp.f64 (neg.f64 x))
Calls

3 calls:

101.0ms
x
10.0ms
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
8.0ms
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Results
ErrorSegmentsBranch
24.8b3x
25.2b3(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
25.2b3(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Compiler

Compiled 672 to 308 computations (54.2% saved)

bsearch377.0ms (2.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
62.0ms
0.5186950637553355
3717325.8016343997
314.0ms
-4.820084872909202e-299
1.520845780297096e-306
Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes193.0ms (1.2%)

Counts
30 → 3
Calls
Call 1
Inputs
1
(exp.f64 (neg.f64 x))
(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) (-.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) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (-.f64 (*.f64 x (*.f64 x -1/4)) -1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 (*.f64 (*.f64 x x) -1/4) 1)) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (-.f64 1 x))
(-.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (+.f64 (*.f64 (*.f64 x x) -1/4) 1)) (exp.f64 x))) 1)
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) -1/4) (*.f64 (*.f64 x x) -1/4)) 1) (-.f64 (*.f64 (*.f64 x x) -1/4) 1))) (exp.f64 x))
(-.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) -1/4) (*.f64 (*.f64 x x) -1/4)) 1) (-.f64 (*.f64 (*.f64 x x) -1/4) 1))) (exp.f64 x))) 1)
(log.f64 (exp.f64 (fmod.f64 (exp.f64 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)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x))
(-.f64 (+.f64 1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))) 1)
(-.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x))) 1)
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 (*.f64 x x))) (+.f64 x 1))
(-.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x))) 1)
(*.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)))))))
(*.f64 (-.f64 (+.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1) (+.f64 1 (*.f64 x (+.f64 -1 (*.f64 x (+.f64 1/2 (*.f64 x -1/6)))))))
(log.f64 (exp.f64 (/.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 1 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
Outputs
1
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(exp.f64 (neg.f64 x))
Calls

3 calls:

126.0ms
x
34.0ms
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
14.0ms
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Results
ErrorSegmentsBranch
24.8b3x
25.2b3(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
25.2b3(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Compiler

Compiled 393 to 210 computations (46.6% saved)

bsearch277.0ms (1.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
61.0ms
0.5186950637553355
3717325.8016343997
215.0ms
-4.820084872909202e-299
1.520845780297096e-306
Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes90.0ms (0.5%)

Accuracy

Total -36.5b remaining (-139.5%)

Threshold costs -36.5b (-139.5%)

Counts
27 → 2
Calls
Call 1
Inputs
1
(exp.f64 (neg.f64 x))
(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) (-.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) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (*.f64 x (*.f64 x -1/4))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (-.f64 (*.f64 x (*.f64 x -1/4)) -1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (+.f64 (*.f64 (*.f64 x x) -1/4) 1)) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (-.f64 1 x))
(-.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (+.f64 (*.f64 (*.f64 x x) -1/4) 1)) (exp.f64 x))) 1)
(/.f64 (fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) -1/4) (*.f64 (*.f64 x x) -1/4)) 1) (-.f64 (*.f64 (*.f64 x x) -1/4) 1))) (exp.f64 x))
(-.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) -1/4) (*.f64 (*.f64 x x) -1/4)) 1) (-.f64 (*.f64 (*.f64 x x) -1/4) 1))) (exp.f64 x))) 1)
(log.f64 (exp.f64 (fmod.f64 (exp.f64 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)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x))
(-.f64 (+.f64 1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))) 1)
(-.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x))) 1)
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 (*.f64 x x))) (+.f64 x 1))
(-.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (exp.f64 x))) 1)
(*.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)))))))
(*.f64 (-.f64 (+.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1) (+.f64 1 (*.f64 x (+.f64 -1 (*.f64 x (+.f64 1/2 (*.f64 x -1/6)))))))
(log.f64 (exp.f64 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))))
Outputs
1
(exp.f64 (neg.f64 x))
Calls

1 calls:

49.0ms
x
Results
ErrorSegmentsBranch
26.2b2x
Compiler

Compiled 341 to 189 computations (44.6% saved)

bsearch78.0ms (0.5%)

Algorithm
1×binary-search
Steps
TimeLeftRight
77.0ms
-1.3579569753336683e-13
-1.0717009793699548e-26
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify16.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
035141
149141
256141
359141
460141
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x 9568235093391132672/18446744073709551616) (pow.f64 (pow.f64 (exp.f64 1) (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x))) (/.f64 1 (+.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))) (exp.f64 (neg.f64 x)))
(if (<=.f64 x -2271486538018343/47125446914534694131579097993419809976955095716785201420286055195012674566357244479460731079205201122720511132925006540350105785156086431086764996857554304860885586653967937772270969055149056096849908977391371752266308172471982589601097478449614615258949356272900190565812730839296826751014759649673012612226351104) 1 (if (<=.f64 x 9568235093391132672/18446744073709551616) (-.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 1) (exp.f64 (neg.f64 x))))
(if (<=.f64 x -2271486538018343/47125446914534694131579097993419809976955095716785201420286055195012674566357244479460731079205201122720511132925006540350105785156086431086764996857554304860885586653967937772270969055149056096849908977391371752266308172471982589601097478449614615258949356272900190565812730839296826751014759649673012612226351104) 1 (if (<=.f64 x 9568235093391132672/18446744073709551616) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) (exp.f64 (neg.f64 x))))
(if (<=.f64 x -10758843592911472/79228162514264337593543950336) 1 (exp.f64 (neg.f64 x)))
1
Outputs
(if (<=.f64 x 9568235093391132672/18446744073709551616) (pow.f64 (pow.f64 (exp.f64 1) (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x))) (/.f64 1 (+.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))) (exp.f64 (neg.f64 x)))
(if (<=.f64 x 4671989791694889/9007199254740992) (pow.f64 (pow.f64 (E.f64) (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x))) (/.f64 1 (+.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))) (exp.f64 (neg.f64 x)))
(if (<=.f64 x -2271486538018343/47125446914534694131579097993419809976955095716785201420286055195012674566357244479460731079205201122720511132925006540350105785156086431086764996857554304860885586653967937772270969055149056096849908977391371752266308172471982589601097478449614615258949356272900190565812730839296826751014759649673012612226351104) 1 (if (<=.f64 x 9568235093391132672/18446744073709551616) (-.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 1) (exp.f64 (neg.f64 x))))
(if (<=.f64 x -2271486538018343/47125446914534694131579097993419809976955095716785201420286055195012674566357244479460731079205201122720511132925006540350105785156086431086764996857554304860885586653967937772270969055149056096849908977391371752266308172471982589601097478449614615258949356272900190565812730839296826751014759649673012612226351104) 1 (if (<=.f64 x 4671989791694889/9007199254740992) (+.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) -1) (exp.f64 (neg.f64 x))))
(if (<=.f64 x -2271486538018343/47125446914534694131579097993419809976955095716785201420286055195012674566357244479460731079205201122720511132925006540350105785156086431086764996857554304860885586653967937772270969055149056096849908977391371752266308172471982589601097478449614615258949356272900190565812730839296826751014759649673012612226351104) 1 (if (<=.f64 x 9568235093391132672/18446744073709551616) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) (exp.f64 (neg.f64 x))))
(if (<=.f64 x -2271486538018343/47125446914534694131579097993419809976955095716785201420286055195012674566357244479460731079205201122720511132925006540350105785156086431086764996857554304860885586653967937772270969055149056096849908977391371752266308172471982589601097478449614615258949356272900190565812730839296826751014759649673012612226351104) 1 (if (<=.f64 x 4671989791694889/9007199254740992) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) (exp.f64 (neg.f64 x))))
(if (<=.f64 x -10758843592911472/79228162514264337593543950336) 1 (exp.f64 (neg.f64 x)))
(if (<=.f64 x -672427724556967/4951760157141521099596496896) 1 (exp.f64 (neg.f64 x)))
1
Compiler

Compiled 94 to 64 computations (31.9% saved)

soundness749.0ms (4.6%)

Algorithm
4×egg-herbie
Rules
924×unswap-sqr_binary64
924×unswap-sqr_binary64
924×unswap-sqr_binary64
777×distribute-rgt-neg-in_binary64
661×distribute-lft-neg-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0917
11617
22615
33915
46315
512015
628115
773515
8117615
9313115
10503115
11577015
12710615
0917
11617
22615
33915
46315
512015
628115
773515
8117615
9313115
10503115
11577015
12710615
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
1×node limit
1×node limit
Compiler

Compiled 142 to 95 computations (33.1% saved)

end134.0ms (0.8%)

Compiler

Compiled 90 to 45 computations (50% saved)

Profiling

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