Details

Time bar (total: 13.5s)

analyze280.0ms (2.1%)

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)

sample9.4s (70%)

Results
3.9s1661×body8192exit
2.7s4085×body1024valid
943.0ms2037×body512valid
758.0ms1641×body1024invalid
459.0ms1945×body256valid
265.0ms830×body512invalid
184.0ms189×body2048valid
143.0ms814×body256invalid

preprocess94.0ms (0.7%)

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)

simplify89.0ms (0.7%)

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

Useful iterations: 2 (0.0ms)

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

eval1.0ms (0%)

Compiler

Compiled 20 to 9 computations (55% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
58.8b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶58.8b
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
Compiler

Compiled 10 to 6 computations (40% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
✓0.0b
(sqrt.f64 (cos.f64 x))
✓4.2b
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
Compiler

Compiled 24 to 6 computations (75% saved)

series5.0ms (0%)

Counts
3 → 8
Calls

9 calls:

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

rewrite61.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

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

simplify41.0ms (0.3%)

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

Useful iterations: 3 (0.0ms)

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

eval16.0ms (0.1%)

Compiler

Compiled 1258 to 411 computations (67.3% saved)

prune32.0ms (0.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New74781
Fresh000
Picked011
Done000
Total74882
Error
58.8b
Counts
82 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
58.8b
(exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))
▶59.0b
(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))
✓58.8b
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
58.9b
(/.f64 (log.f64 (exp.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (exp.f64 x))
▶59.3b
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
▶59.8b
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
▶59.0b
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x))
▶58.8b
(/.f64 (exp.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (exp.f64 x))
Compiler

Compiled 158 to 106 computations (32.9% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (cos.f64 x))
✓0.2b
(exp.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
✓2.7b
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
4.2b
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
Compiler

Compiled 41 to 8 computations (80.5% saved)

series64.0ms (0.5%)

Counts
2 → 12
Calls

6 calls:

TimeVariablePointExpression
27.0ms
x
@0
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
22.0ms
x
@inf
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
14.0ms
x
@-inf
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
0.0ms
x
@0
(exp.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
0.0ms
x
@inf
(exp.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))

rewrite54.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0822
113722
2146922
Stop Event
1×node limit
Counts
2 → 38
Calls
Call 1
Inputs
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(exp.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 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 (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 0 (log.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))))) (pow.f64 (cbrt.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.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 (pow.f64 (log.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 (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 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 1 (-.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1))))) (#(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 pow.f64 (exp.f64 (pow.f64 (cbrt.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 pow.f64 (exp.f64 1) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (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 sqrt.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))))

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06120
Stop Event
1×saturated
Counts
50 → 38
Calls
Call 1
Inputs
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
Outputs
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))
✓4.2b
(fmod.f64 (exp.f64 x) 1)
Compiler

Compiled 16 to 8 computations (50% saved)

series3.0ms (0%)

Counts
2 → 4
Calls

6 calls:

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

rewrite50.0ms (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))))))

simplify65.0ms (0.5%)

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)))))

localize18.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (cos.f64 x))
4.2b
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
Compiler

Compiled 15 to 5 computations (66.7% saved)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (cos.f64 x))
✓0.0b
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
4.2b
(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))

rewrite59.0ms (0.4%)

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))))))))

simplify87.0ms (0.6%)

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

Useful iterations: 4 (0.0ms)

IterNodesCost
010283
116265
233202
349193
467184
5131184
6255184
7362184
8462184
9549184
10573184
11648184
12868184
131776184
144571184
156437184
167899184
Stop Event
1×node limit
Counts
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))

localize86.0ms (0.6%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x))
✓4.2b
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))
Compiler

Compiled 36 to 17 computations (52.8% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite85.0ms (0.6%)

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
0931
117531
2204431
Stop Event
1×node limit
Counts
2 → 47
Calls
Call 1
Inputs
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) 2) (cbrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) (sqrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) 2) (*.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 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 -1/4 (*.f64 x x) 1)) (exp.f64 x))) 2) (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) (*.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x))) (sqrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x 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) (fma.f64 -1/4 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) 2) 1) (/.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) 1) (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x 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) (fma.f64 -1/4 (*.f64 x 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) (fma.f64 -1/4 (*.f64 x x) 1))) 2) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x 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) (fma.f64 -1/4 (*.f64 x 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) (fma.f64 -1/4 (*.f64 x x) 1))) 2) (sqrt.f64 (exp.f64 x))) (/.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (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 -1/4 (*.f64 x x) 1)) (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 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 -1/4 (*.f64 x x) 1)) (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) 3) (pow.f64 (exp.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) x))))))

simplify43.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
685×fma-neg_binary64
581×distribute-rgt-in_binary64
519×distribute-lft-in_binary64
351×associate--r+_binary64
258×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
036519
1103492
2349436
31939409
Stop Event
1×node limit
Counts
71 → 57
Calls
Call 1
Inputs
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1))) (*.f64 1/2 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)))) (pow.f64 x 2))) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1))))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1))) (*.f64 1/2 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)))) (pow.f64 x 2))) (+.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1))) (+.f64 (*.f64 -1/2 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1))) (*.f64 -1 (+.f64 (*.f64 -1 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1))) (*.f64 1/2 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1))))))) (pow.f64 x 3))))))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) (exp.f64 x))
Outputs
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)))
(fma.f64 -1 (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)))
(-.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))))
(*.f64 (+.f64 (neg.f64 x) 1) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 1 x))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1))) (*.f64 1/2 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)))) (pow.f64 x 2))) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1))))
(fma.f64 -1 (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) (fma.f64 -1 (*.f64 (*.f64 x x) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) -1/2)) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))))
(-.f64 (fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) 1/2) (*.f64 x x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))))
(-.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (+.f64 x (*.f64 x (*.f64 x -1/2)))))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 1 (+.f64 x (*.f64 x (*.f64 x -1/2)))))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1))) (*.f64 1/2 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)))) (pow.f64 x 2))) (+.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1))) (+.f64 (*.f64 -1/2 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1))) (*.f64 -1 (+.f64 (*.f64 -1 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1))) (*.f64 1/2 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1))))))) (pow.f64 x 3))))))
(fma.f64 -1 (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) (+.f64 (fma.f64 -1 (*.f64 (*.f64 x x) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) -1/2)) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) (neg.f64 (*.f64 (fma.f64 1/6 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (fma.f64 -1/2 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (neg.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) -1/2)))) (pow.f64 x 3)))))
(-.f64 (-.f64 (fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) 1/2) (*.f64 x x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) (*.f64 (+.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) 1/2) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) -1/3)) (pow.f64 x 3))) (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))))
(-.f64 (fma.f64 (pow.f64 x 3) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) -1/6) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (+.f64 x (*.f64 x (*.f64 x -1/2)))))
(+.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 (*.f64 x (-.f64 -1 (*.f64 x -1/2))) (*.f64 1/6 (pow.f64 x 3)))))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x))

eval104.0ms (0.8%)

Compiler

Compiled 4496 to 2092 computations (53.5% saved)

prune81.0ms (0.6%)

Pruning

18 alts after pruning (15 fresh and 3 done)

PrunedKeptTotal
New28714301
Fresh112
Picked011
Done325
Total29118309
Error
58.8b
Counts
309 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
59.0b
(/.f64 (exp.f64 (log.f64 (fmod.f64 (exp.f64 x) 1))) (exp.f64 x))
▶59.0b
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 (neg.f64 x)))
59.8b
(pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 3) 1/3)
59.0b
(-.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x))) 1)
▶58.8b
(exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))
59.2b
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 1 (+.f64 x (*.f64 x (*.f64 x -1/2)))))
✓59.0b
(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))
59.0b
(exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) x))
59.2b
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 (+.f64 x (*.f64 (*.f64 x x) -1/2))))
▶59.0b
(/.f64 (log.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1))) (exp.f64 x))
59.3b
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
58.9b
(/.f64 (log.f64 (exp.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (exp.f64 x))
✓58.8b
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
▶59.8b
(fmod.f64 (exp.f64 x) 1)
▶59.3b
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 1 x))
59.8b
(pow.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2)
✓59.0b
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x))
58.9b
(/.f64 (exp.f64 (log.f64 (log.f64 (exp.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))) (exp.f64 x))
Compiler

Compiled 393 to 283 computations (28% saved)

localize36.0ms (0.3%)

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))
2.7b
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
✓2.8b
(-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)
4.2b
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
Compiler

Compiled 41 to 8 computations (80.5% saved)

series2.0ms (0%)

Counts
2 → 20
Calls

6 calls:

TimeVariablePointExpression
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)
0.0ms
x
@-inf
(-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)
0.0ms
x
@inf
(exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))
0.0ms
x
@-inf
(exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))

rewrite82.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0930
117930
2231830
Stop Event
1×node limit
Counts
2 → 74
Calls
Call 1
Inputs
(-.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 (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 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 2)) (log.f64 (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 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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 *.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 *.f64 (sqrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) (sqrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x (+.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.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) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 2) (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) (sqrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) 1) (/.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1) (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (/.f64 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(exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (/.f64 (exp.f64 x) (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 (exp.f64 x) (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (neg.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2)) (cbrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))) (sqrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 3) (pow.f64 (exp.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))))))

simplify57.0ms (0.4%)

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

Useful iterations: 4 (0.0ms)

IterNodesCost
027382
172363
2180325
3556303
42104293
55550293
Stop Event
1×node limit
Counts
94 → 87
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))

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
4.2b
(fmod.f64 (exp.f64 x) 1)
Compiler

Compiled 9 to 5 computations (44.4% saved)

localize20.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 1 x))
4.2b
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))
Compiler

Compiled 40 to 21 computations (47.5% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite60.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01019
120019
2237319
Stop Event
1×node limit
Counts
1 → 19
Calls
Call 1
Inputs
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (*.f64 (neg.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 1 (*.f64 x x))) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) 3) (pow.f64 (-.f64 1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 1 x))))))))

simplify70.0ms (0.5%)

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

Useful iterations: 4 (0.0ms)

IterNodesCost
013337
128328
252238
3104229
4244220
5740220
61602220
72908220
84753220
Stop Event
1×node limit
Counts
31 → 25
Calls
Call 1
Inputs
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)))
(*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) x))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)))
(*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) x))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)))
Outputs
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)))
(fma.f64 -1 (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)))
(-.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))))
(*.f64 (+.f64 (neg.f64 x) 1) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (fma.f64 x -1 1))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 1 x))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (-.f64 1 x))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)))
(fma.f64 -1 (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)))
(-.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))))
(*.f64 (+.f64 (neg.f64 x) 1) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (fma.f64 x -1 1))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 1 x))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (-.f64 1 x))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)))
(fma.f64 -1 (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)))
(-.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))))
(*.f64 (+.f64 (neg.f64 x) 1) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (fma.f64 x -1 1))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 1 x))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (-.f64 1 x))
(*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) x))
(neg.f64 (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))))
(*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))))
(*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)))
(fma.f64 -1 (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)))
(-.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))))
(*.f64 (+.f64 (neg.f64 x) 1) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (fma.f64 x -1 1))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 1 x))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (-.f64 1 x))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)))
(fma.f64 -1 (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)))
(-.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))))
(*.f64 (+.f64 (neg.f64 x) 1) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (fma.f64 x -1 1))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 1 x))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (-.f64 1 x))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)))
(fma.f64 -1 (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)))
(-.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))))
(*.f64 (+.f64 (neg.f64 x) 1) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (fma.f64 x -1 1))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 1 x))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (-.f64 1 x))
(*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) x))
(neg.f64 (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))))
(*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))))
(*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)))
(fma.f64 -1 (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)))
(-.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))))
(*.f64 (+.f64 (neg.f64 x) 1) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (fma.f64 x -1 1))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 1 x))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (-.f64 1 x))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)))
(fma.f64 -1 (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)))
(-.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))))
(*.f64 (+.f64 (neg.f64 x) 1) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (fma.f64 x -1 1))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 1 x))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (-.f64 1 x))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)))
(fma.f64 -1 (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)))
(-.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))))
(*.f64 (+.f64 (neg.f64 x) 1) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (fma.f64 x -1 1))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 1 x))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (-.f64 1 x))

localize22.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 (neg.f64 x)))
4.2b
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))
Compiler

Compiled 42 to 19 computations (54.8% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite53.0ms (0.4%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01120
120818
2237918
Stop Event
1×node limit
Counts
1 → 14
Calls
Call 1
Inputs
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 (neg.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (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 -1/4 (*.f64 x x) 1)) (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (exp.f64 x)) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) 3) (pow.f64 (exp.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 x (log.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)))))))))

simplify60.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
814×distribute-rgt-neg-in_binary64
664×distribute-lft-neg-in_binary64
500×cancel-sign-sub-inv_binary64
481×fma-neg_binary64
462×fma-def_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
032337
182332
2185274
3554248
42257236
55859236
Stop Event
1×node limit
Counts
26 → 24
Calls
Call 1
Inputs
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) x)) (+.f64 (*.f64 1/2 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) (pow.f64 x 2))) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1))))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) x)) (+.f64 (*.f64 1/2 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) (pow.f64 x 2))) (+.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) (*.f64 -1/6 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) (pow.f64 x 3))))))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) (exp.f64 (*.f64 -1 x)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) (exp.f64 (*.f64 -1 x)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) (exp.f64 (*.f64 -1 x)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) (exp.f64 (*.f64 -1 x)))
Outputs
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)))
(fma.f64 -1 (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)))
(-.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))))
(*.f64 (+.f64 (neg.f64 x) 1) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 1 x))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) x)) (+.f64 (*.f64 1/2 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) (pow.f64 x 2))) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1))))
(fma.f64 -1 (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) (fma.f64 1/2 (*.f64 (*.f64 x x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))))
(-.f64 (fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) 1/2) (*.f64 x x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))))
(+.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (+.f64 (neg.f64 x) (*.f64 x (*.f64 x 1/2)))))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) x)) (+.f64 (*.f64 1/2 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) (pow.f64 x 2))) (+.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) (*.f64 -1/6 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) (pow.f64 x 3))))))
(fma.f64 -1 (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) (fma.f64 1/2 (*.f64 (*.f64 x x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) (+.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (*.f64 -1/6 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (pow.f64 x 3))))))
(-.f64 (fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) 1/2) (*.f64 x x) (fma.f64 -1/6 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (pow.f64 x 3)) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)))) (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))))
(+.f64 (*.f64 (+.f64 (neg.f64 x) 1) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (+.f64 (*.f64 x (*.f64 x 1/2)) (*.f64 -1/6 (pow.f64 x 3)))))
(+.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6))) x)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6)))))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) (exp.f64 (*.f64 -1 x)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) (exp.f64 (*.f64 -1 x)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) (exp.f64 (*.f64 -1 x)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) (exp.f64 (*.f64 -1 x)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x))

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (log.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1))) (exp.f64 x))
✓0.0b
(exp.f64 (fmod.f64 (exp.f64 x) 1))
✓2.6b
(log.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1)))
4.2b
(fmod.f64 (exp.f64 x) 1)
Compiler

Compiled 29 to 17 computations (41.4% saved)

series3.0ms (0%)

Counts
3 → 24
Calls

9 calls:

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

rewrite61.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0825
113525
2155225
Stop Event
1×node limit
Counts
3 → 68
Calls
Call 1
Inputs
(log.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1)))
(exp.f64 (fmod.f64 (exp.f64 x) 1))
(/.f64 (log.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1))) (exp.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fmod.f64 (exp.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1)))) (log.f64 (sqrt.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fmod.f64 (exp.f64 x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fmod.f64 (exp.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fmod.f64 (exp.f64 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) 1)) (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) 1)) 2) (cbrt.f64 (fmod.f64 (exp.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) 1)) (sqrt.f64 (fmod.f64 (exp.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fmod.f64 (exp.f64 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fmod.f64 (exp.f64 x) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fmod.f64 (exp.f64 x) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fmod.f64 (exp.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fmod.f64 (exp.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fmod.f64 (exp.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (fmod.f64 (exp.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (exp.f64 (fmod.f64 (exp.f64 x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (fmod.f64 (exp.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1))) (pow.f64 (cbrt.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1))) 2) (cbrt.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1))) (sqrt.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (fmod.f64 (exp.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) 1))) (sqrt.f64 (fmod.f64 (exp.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) 1)) 2)) (cbrt.f64 (fmod.f64 (exp.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1))))))))
((#(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))))))

simplify65.0ms (0.5%)

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

Useful iterations: 3 (0.0ms)

IterNodesCost
034295
199275
2342247
31911234
47946234
Stop Event
1×node limit
Counts
92 → 75
Calls
Call 1
Inputs
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) x)) (fmod.f64 (exp.f64 x) 1))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (fmod.f64 (exp.f64 x) 1)) (*.f64 1/2 (fmod.f64 (exp.f64 x) 1))) (pow.f64 x 2))) (fmod.f64 (exp.f64 x) 1)))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (fmod.f64 (exp.f64 x) 1)) (*.f64 1/2 (fmod.f64 (exp.f64 x) 1))) (pow.f64 x 2))) (+.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (fmod.f64 (exp.f64 x) 1)) (+.f64 (*.f64 -1/2 (fmod.f64 (exp.f64 x) 1)) (*.f64 -1 (+.f64 (*.f64 -1 (fmod.f64 (exp.f64 x) 1)) (*.f64 1/2 (fmod.f64 (exp.f64 x) 1)))))) (pow.f64 x 3))))))
(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))
Outputs
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) x)) (fmod.f64 (exp.f64 x) 1))
(fma.f64 -1 (*.f64 x (fmod.f64 (exp.f64 x) 1)) (fmod.f64 (exp.f64 x) 1))
(-.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 x (fmod.f64 (exp.f64 x) 1)))
(*.f64 (+.f64 (neg.f64 x) 1) (fmod.f64 (exp.f64 x) 1))
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (fmod.f64 (exp.f64 x) 1)) (*.f64 1/2 (fmod.f64 (exp.f64 x) 1))) (pow.f64 x 2))) (fmod.f64 (exp.f64 x) 1)))
(fma.f64 -1 (*.f64 x (fmod.f64 (exp.f64 x) 1)) (fma.f64 -1 (*.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) -1/2) (*.f64 x x)) (fmod.f64 (exp.f64 x) 1)))
(-.f64 (fma.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) 1/2) (*.f64 x x) (fmod.f64 (exp.f64 x) 1)) (*.f64 x (fmod.f64 (exp.f64 x) 1)))
(-.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 x (*.f64 x (*.f64 x -1/2)))))
(*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 1 (*.f64 x (-.f64 -1 (*.f64 x -1/2)))))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (fmod.f64 (exp.f64 x) 1)) (*.f64 1/2 (fmod.f64 (exp.f64 x) 1))) (pow.f64 x 2))) (+.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (fmod.f64 (exp.f64 x) 1)) (+.f64 (*.f64 -1/2 (fmod.f64 (exp.f64 x) 1)) (*.f64 -1 (+.f64 (*.f64 -1 (fmod.f64 (exp.f64 x) 1)) (*.f64 1/2 (fmod.f64 (exp.f64 x) 1)))))) (pow.f64 x 3))))))
(fma.f64 -1 (*.f64 x (fmod.f64 (exp.f64 x) 1)) (+.f64 (fma.f64 -1 (*.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) -1/2) (*.f64 x x)) (fmod.f64 (exp.f64 x) 1)) (neg.f64 (*.f64 (fma.f64 1/6 (fmod.f64 (exp.f64 x) 1) (fma.f64 -1/2 (fmod.f64 (exp.f64 x) 1) (neg.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) -1/2)))) (pow.f64 x 3)))))
(-.f64 (-.f64 (fma.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) 1/2) (*.f64 x x) (fmod.f64 (exp.f64 x) 1)) (*.f64 (+.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) 1/2) (*.f64 (fmod.f64 (exp.f64 x) 1) -1/3)) (pow.f64 x 3))) (*.f64 x (fmod.f64 (exp.f64 x) 1)))
(-.f64 (fma.f64 (pow.f64 x 3) (*.f64 (fmod.f64 (exp.f64 x) 1) -1/6) (fmod.f64 (exp.f64 x) 1)) (*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 x (*.f64 x (*.f64 x -1/2)))))
(+.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 (*.f64 x (-.f64 -1 (*.f64 x -1/2))) (*.f64 1/6 (pow.f64 x 3)))))
(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))

eval88.0ms (0.7%)

Compiler

Compiled 4814 to 2230 computations (53.7% saved)

prune112.0ms (0.8%)

Pruning

29 alts after pruning (21 fresh and 8 done)

PrunedKeptTotal
New29914313
Fresh3710
Picked011
Done077
Total30229331
Error
25.8b
Counts
331 → 29
Alt Table
Click to see full alt table
StatusErrorProgram
59.0b
(/.f64 (exp.f64 (log.f64 (fmod.f64 (exp.f64 x) 1))) (exp.f64 x))
✓59.0b
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 (neg.f64 x)))
59.8b
(pow.f64 (sqrt.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x))) 2)
✓59.0b
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x))
✓58.8b
(exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))
59.2b
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 1 (+.f64 x (*.f64 x (*.f64 x -1/2)))))
59.3b
(-.f64 (+.f64 1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 1 x))) 1)
✓59.0b
(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))
▶59.8b
(pow.f64 (pow.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x)) 3) 1/3)
59.8b
(pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) 1) 3) 1/3)
▶59.3b
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
59.8b
(pow.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x)) 1)
59.0b
(exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) x))
59.2b
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 (+.f64 x (*.f64 (*.f64 x x) -1/2))))
58.9b
(exp.f64 (-.f64 (log.f64 (log.f64 (exp.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) x))
✓59.0b
(/.f64 (log.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1))) (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)))))))
59.8b
(exp.f64 (+.f64 x (log.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)))))
59.1b
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6)))))
58.9b
(/.f64 (log.f64 (exp.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (exp.f64 x))
✓58.8b
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
✓59.8b
(fmod.f64 (exp.f64 x) 1)
✓59.3b
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 1 x))
▶59.8b
(exp.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)))
59.0b
(-.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x))) 1)
▶27.5b
(exp.f64 (neg.f64 x))
58.9b
(/.f64 (exp.f64 (log.f64 (log.f64 (exp.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))) (exp.f64 x))
59.8b
(pow.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) 1)) 2)
61.1b
(exp.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x (+.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))))))
Compiler

Compiled 707 to 496 computations (29.8% saved)

localize4.0ms (0%)

Compiler

Compiled 7 to 3 computations (57.1% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
4.2b
(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 (0.4%)

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

Useful iterations: 0 (0.0ms)

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

simplify83.0ms (0.6%)

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

Useful iterations: 4 (0.0ms)

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

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.2b
(exp.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)))
✓2.7b
(log.f64 (fmod.f64 (exp.f64 x) 1))
4.2b
(fmod.f64 (exp.f64 x) 1)
Compiler

Compiled 20 to 12 computations (40% saved)

series98.0ms (0.7%)

Counts
2 → 12
Calls

6 calls:

TimeVariablePointExpression
66.0ms
x
@0
(log.f64 (fmod.f64 (exp.f64 x) 1))
17.0ms
x
@-inf
(log.f64 (fmod.f64 (exp.f64 x) 1))
13.0ms
x
@inf
(log.f64 (fmod.f64 (exp.f64 x) 1))
0.0ms
x
@0
(exp.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)))
0.0ms
x
@inf
(exp.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)))

rewrite47.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
429×pow1_binary64
409×add-sqr-sqrt_binary64
404×*-un-lft-identity_binary64
390×add-log-exp_binary64
390×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0714
111114
2109014
Stop Event
1×node limit
Counts
2 → 63
Calls
Call 1
Inputs
(log.f64 (fmod.f64 (exp.f64 x) 1))
(exp.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (fmod.f64 (exp.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) 1))) (*.f64 2 (log.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (log.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) 1)))) (log.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) 1))) (log.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (fmod.f64 (exp.f64 x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (fmod.f64 (exp.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (fmod.f64 (exp.f64 x) 1))) (pow.f64 (cbrt.f64 (log.f64 (fmod.f64 (exp.f64 x) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (fmod.f64 (exp.f64 x) 1))) 2) (cbrt.f64 (log.f64 (fmod.f64 (exp.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (fmod.f64 (exp.f64 x) 1))) (sqrt.f64 (log.f64 (fmod.f64 (exp.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (log.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (log.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (*.f64 3 (log.f64 (fmod.f64 (exp.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (log.f64 (fmod.f64 (exp.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) 2) (pow.f64 (cbrt.f64 (log.f64 (fmod.f64 (exp.f64 x) 1))) 2)) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) 2) (sqrt.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)))) 1/3) (cbrt.f64 (sqrt.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)))) 2) 3) (cbrt.f64 (log.f64 (fmod.f64 (exp.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (fmod.f64 (exp.f64 x) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (fmod.f64 (exp.f64 x) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (fmod.f64 (exp.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (fmod.f64 (exp.f64 x) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (fmod.f64 (exp.f64 x) 1))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (fmod.f64 (exp.f64 x) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fmod.f64 (exp.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1)))) (log.f64 (sqrt.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fmod.f64 (exp.f64 x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fmod.f64 (exp.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fmod.f64 (exp.f64 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) 1)) (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) 1)) 2) (cbrt.f64 (fmod.f64 (exp.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) 1)) (sqrt.f64 (fmod.f64 (exp.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (fmod.f64 (exp.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 (log.f64 (fmod.f64 (exp.f64 x) 1))) (fmod.f64 (exp.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (E.f64)) 2) (log.f64 (fmod.f64 (exp.f64 x) 1))) (pow.f64 (cbrt.f64 (E.f64)) (log.f64 (fmod.f64 (exp.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (fmod.f64 (exp.f64 x) 1))) (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (fmod.f64 (exp.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (fmod.f64 (exp.f64 x) 1) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fmod.f64 (exp.f64 x) 1) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (fmod.f64 (exp.f64 x) 1) 2) (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) 1)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (fmod.f64 (exp.f64 x) 1) 2) (sqrt.f64 (fmod.f64 (exp.f64 x) 1))) 1/3) (cbrt.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) 1))) 2) 3) (cbrt.f64 (fmod.f64 (exp.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) 1))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) 1))) 3))))) (#(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 (E.f64) (log.f64 (fmod.f64 (exp.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) 1) 2) 1/2)))) (#(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 pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fmod.f64 (exp.f64 x) 1))) 2)) (cbrt.f64 (log.f64 (fmod.f64 (exp.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)))) (sqrt.f64 (log.f64 (fmod.f64 (exp.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fmod.f64 (exp.f64 x) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fmod.f64 (exp.f64 x) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fmod.f64 (exp.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fmod.f64 (exp.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fmod.f64 (exp.f64 x) 1)))))))

simplify9.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0572
1772
Stop Event
1×saturated
Counts
75 → 63
Calls
Call 1
Inputs
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
Outputs
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)
(fmod.f64 (exp.f64 x) 1)

localize53.0ms (0.4%)

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)
4.2b
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
Compiler

Compiled 87 to 56 computations (35.6% saved)

series6.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(*.f64 x -1/6)
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)

rewrite70.0ms (0.5%)

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))))))

simplify72.0ms (0.5%)

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))

localize34.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x))
✓0.0b
(pow.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x)) 3)
✓0.2b
(pow.f64 (pow.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x)) 3) 1/3)
4.2b
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))
Compiler

Compiled 68 to 35 computations (48.5% saved)

series14.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
4.0ms
x
@0
(pow.f64 (pow.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x)) 3) 1/3)
3.0ms
x
@inf
(pow.f64 (pow.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x)) 3) 1/3)
3.0ms
x
@-inf
(pow.f64 (pow.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x)) 3) 1/3)
2.0ms
x
@inf
(pow.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x)) 3)
1.0ms
x
@0
(pow.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x)) 3)

rewrite71.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
969×pow1_binary64
907×add-log-exp_binary64
906×log1p-expm1-u_binary64
906×expm1-log1p-u_binary64
114×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01357
126957
2263357
Stop Event
1×node limit
Counts
3 → 66
Calls
Call 1
Inputs
(pow.f64 (pow.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x)) 3) 1/3)
(pow.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x)) 3)
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) 2) (*.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)))) (cbrt.f64 (pow.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)))) (pow.f64 (pow.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) 2)) (cbrt.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (*.f64 (cbrt.f64 (exp.f64 x)) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) (*.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)))) (sqrt.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 x)) (*.f64 (sqrt.f64 (exp.f64 x)) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) 2) 1/3) (cbrt.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (exp.f64 x) (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) 2)) (cbrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (exp.f64 x) (sqrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)))) (sqrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (exp.f64 x)) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 x (log.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 x) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (pow.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (*.f64 (exp.f64 x) (pow.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) (pow.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) 2) (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) 2)) (*.f64 (cbrt.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)))) (pow.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)))) (*.f64 (sqrt.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)))) (pow.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) 3) (pow.f64 (exp.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) 3/2) (pow.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) 2)) 3) (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)))) 3) (pow.f64 (sqrt.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) 2) (exp.f64 x)) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) 2) 1) (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) 2) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) 2) (cbrt.f64 (pow.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) 2))) (cbrt.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) 2) (sqrt.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))))) (sqrt.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (+.f64 x (log.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) 6) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (exp.f64 x)) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 x (log.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)))))))))

simplify52.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
842×associate-*r*_binary64
770×associate-*l*_binary64
695×fma-def_binary64
436×distribute-rgt-in_binary64
434×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0891547
12951477
211921333
Stop Event
1×node limit
Counts
102 → 82
Calls
Call 1
Inputs
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 2)) 1/3) (*.f64 (+.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 3) (*.f64 2 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 3))) x))) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 2)) 1/3) (*.f64 (+.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 3) (*.f64 2 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 3))) x))) (+.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) (*.f64 1/3 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/2 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 3)) (*.f64 4 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 3))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1))) 1/3) (pow.f64 (+.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 3) (*.f64 2 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 3))) 2)))) (pow.f64 x 2)) (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 2)))))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 x 3) (-.f64 (+.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 3) (+.f64 (*.f64 (+.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 2) (*.f64 1/3 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 2))) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1))) (+.f64 (*.f64 1/6 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 3)) (*.f64 2 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 3))))) (+.f64 (*.f64 1/27 (/.f64 (pow.f64 (+.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 3) (*.f64 2 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 3))) 3) (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 2))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 5)) 1/3) (*.f64 (+.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 3) (*.f64 2 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 3))) (-.f64 (+.f64 (*.f64 1/2 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 3)) (*.f64 4 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 3))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1))) 1/3) (pow.f64 (+.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 3) (*.f64 2 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 3))) 2)))))))))) (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 2))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 2)) 1/3) (*.f64 (+.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 3) (*.f64 2 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 3))) x))) (+.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) (*.f64 1/3 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/2 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 3)) (*.f64 4 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 3))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1))) 1/3) (pow.f64 (+.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 3) (*.f64 2 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 3))) 2)))) (pow.f64 x 2)) (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 2))))))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) (exp.f64 x))
(pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 3)
(+.f64 (*.f64 (+.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 3) (*.f64 2 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 3))) x) (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 3))
(+.f64 (*.f64 (+.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 3) (*.f64 2 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 3))) x) (+.f64 (*.f64 (+.f64 (*.f64 4 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 3)) (*.f64 1/2 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 3))) (pow.f64 x 2)) (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 3)))
(+.f64 (*.f64 (+.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 3) (*.f64 2 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 3))) x) (+.f64 (*.f64 (+.f64 (*.f64 4 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 3)) (*.f64 1/2 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 3))) (pow.f64 x 2)) (+.f64 (*.f64 (pow.f64 x 3) (+.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) (+.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 2) (*.f64 1/3 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 2)))) (+.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 3) (+.f64 (*.f64 1/6 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 3)) (*.f64 2 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 3)))))) (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 3))))
(*.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 3) (pow.f64 (exp.f64 x) 3))
(*.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 3) (pow.f64 (exp.f64 x) 3))
(*.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 3) (pow.f64 (exp.f64 x) 3))
(*.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 3) (pow.f64 (exp.f64 x) 3))
(*.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 3) (pow.f64 (exp.f64 x) 3))
(*.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 3) (pow.f64 (exp.f64 x) 3))
(*.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 3) (pow.f64 (exp.f64 x) 3))
(*.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 3) (pow.f64 (exp.f64 x) 3))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1))
(+.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)))
(+.f64 (*.f64 1/2 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) (pow.f64 x 2))) (+.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1))))
(+.f64 (*.f64 1/2 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) (pow.f64 x 2))) (+.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) x) (+.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) (*.f64 1/6 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) (pow.f64 x 3))))))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) (exp.f64 x))
Outputs
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 2)) 1/3) (*.f64 (+.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 3) (*.f64 2 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 3))) x))) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)))
(fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) 2))) (*.f64 x (*.f64 3 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) 3)))) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)))
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(fma.f64 (*.f64 3 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) 3)) x (fma.f64 (*.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) 3) 9/2) (*.f64 x x) (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) 3)))
(fma.f64 x (*.f64 3 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) 3)) (fma.f64 (*.f64 x x) (*.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) 3) 9/2) (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) 3)))
(fma.f64 x (*.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) 3) (*.f64 9/2 x)) (*.f64 (+.f64 (*.f64 x 3) 1) (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) 3)))
(+.f64 (*.f64 (+.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 3) (*.f64 2 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 3))) x) (+.f64 (*.f64 (+.f64 (*.f64 4 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 3)) (*.f64 1/2 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 3))) (pow.f64 x 2)) (+.f64 (*.f64 (pow.f64 x 3) (+.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) (+.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 2) (*.f64 1/3 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 2)))) (+.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 3) (+.f64 (*.f64 1/6 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 3)) (*.f64 2 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 3)))))) (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 3))))
(fma.f64 (*.f64 3 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) 3)) x (fma.f64 (*.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) 3) 9/2) (*.f64 x x) (fma.f64 (pow.f64 x 3) (fma.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (*.f64 4/3 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) 2)) (+.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) 3) (*.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) 3) 13/6))) (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) 3))))
(fma.f64 x (*.f64 3 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) 3)) (fma.f64 (*.f64 x x) (*.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) 3) 9/2) (fma.f64 (pow.f64 x 3) (+.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) 3) (fma.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) 3) 13/6 (*.f64 4/3 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) 3)))) (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) 3))))
(+.f64 (*.f64 (+.f64 (*.f64 x 3) 1) (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) 3)) (*.f64 (*.f64 x x) (+.f64 (*.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) 3) 9/2) (*.f64 x (+.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) 3) (*.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) 3) 7/2))))))
(*.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 3) (pow.f64 (exp.f64 x) 3))
(*.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) 3) (pow.f64 (exp.f64 x) 3))
(*.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 3) (pow.f64 (exp.f64 x) 3))
(*.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) 3) (pow.f64 (exp.f64 x) 3))
(*.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 3) (pow.f64 (exp.f64 x) 3))
(*.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) 3) (pow.f64 (exp.f64 x) 3))
(*.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 3) (pow.f64 (exp.f64 x) 3))
(*.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) 3) (pow.f64 (exp.f64 x) 3))
(*.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 3) (pow.f64 (exp.f64 x) 3))
(*.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) 3) (pow.f64 (exp.f64 x) 3))
(*.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 3) (pow.f64 (exp.f64 x) 3))
(*.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) 3) (pow.f64 (exp.f64 x) 3))
(*.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 3) (pow.f64 (exp.f64 x) 3))
(*.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) 3) (pow.f64 (exp.f64 x) 3))
(*.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) 3) (pow.f64 (exp.f64 x) 3))
(*.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) 3) (pow.f64 (exp.f64 x) 3))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))
(+.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)))
(fma.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) x (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)))
(*.f64 (+.f64 x 1) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (+.f64 x 1))
(+.f64 (*.f64 1/2 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) (pow.f64 x 2))) (+.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1))))
(fma.f64 1/2 (*.f64 (*.f64 x x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) (fma.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) x (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))))
(fma.f64 1/2 (*.f64 (*.f64 x x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) (*.f64 (+.f64 x 1) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (+.f64 (+.f64 x 1) (*.f64 x (*.f64 x 1/2))))
(+.f64 (*.f64 1/2 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) (pow.f64 x 2))) (+.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) x) (+.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) (*.f64 1/6 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) (pow.f64 x 3))))))
(fma.f64 1/2 (*.f64 (*.f64 x x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) (+.f64 (fma.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) x (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) (*.f64 1/6 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (pow.f64 x 3)))))
(+.f64 (fma.f64 1/2 (*.f64 (*.f64 x x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) (*.f64 (+.f64 x 1) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)))) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (*.f64 (pow.f64 x 3) 1/6)))
(fma.f64 (*.f64 x x) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) 1/2) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (+.f64 (+.f64 x 1) (*.f64 (pow.f64 x 3) 1/6))))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) (exp.f64 x))
(*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) (exp.f64 x))
(*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) (exp.f64 x))
(*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) (exp.f64 x))
(*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) (exp.f64 x))
(*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) (exp.f64 x))
(*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) (exp.f64 x))
(*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (pow.f64 x 2) 1)) (exp.f64 x))
(*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)))

eval208.0ms (1.5%)

Compiler

Compiled 8361 to 5158 computations (38.3% saved)

prune99.0ms (0.7%)

Pruning

32 alts after pruning (21 fresh and 11 done)

PrunedKeptTotal
New36012372
Fresh7916
Picked101
Done11112
Total36932401
Error
25.8b
Counts
401 → 32
Alt Table
Click to see full alt table
StatusErrorProgram
✓59.0b
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 (neg.f64 x)))
59.3b
(*.f64 (exp.f64 (log.f64 (fmod.f64 (exp.f64 x) 1))) (-.f64 1 x))
59.0b
(-.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x))) 1)
59.8b
(exp.f64 (*.f64 1/3 (*.f64 3 (log.f64 (fmod.f64 (exp.f64 x) 1)))))
✓27.5b
(exp.f64 (neg.f64 x))
59.8b
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (fmod.f64 (exp.f64 x) 1))) (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (fmod.f64 (exp.f64 x) 1))))
59.8b
(pow.f64 (pow.f64 (pow.f64 (pow.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) 6) 1/6) 3) 1/3)
59.8b
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (E.f64)) 2) (log.f64 (fmod.f64 (exp.f64 x) 1))) (pow.f64 (cbrt.f64 (E.f64)) (log.f64 (fmod.f64 (exp.f64 x) 1))))
✓59.0b
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x))
✓58.8b
(exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))
59.2b
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 1 (+.f64 x (*.f64 x (*.f64 x -1/2)))))
59.3b
(-.f64 (+.f64 1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 1 x))) 1)
✓59.0b
(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))
✓59.3b
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
59.8b
(pow.f64 (exp.f64 (*.f64 3 (+.f64 x (log.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)))))) 1/3)
59.8b
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x))
59.0b
(exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) x))
59.2b
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 (+.f64 x (*.f64 (*.f64 x x) -1/2))))
59.8b
(pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) 1) 3) 1/3)
58.9b
(exp.f64 (-.f64 (log.f64 (log.f64 (exp.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) 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)))))))
59.1b
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6)))))
58.9b
(/.f64 (log.f64 (exp.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (exp.f64 x))
✓58.8b
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
✓59.8b
(fmod.f64 (exp.f64 x) 1)
✓59.3b
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 1 x))
59.8b
(pow.f64 (pow.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (+.f64 x 1)) 3) 1/3)
✓59.8b
(exp.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)))
59.3b
(-.f64 (+.f64 1 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))) 1)
58.9b
(/.f64 (exp.f64 (log.f64 (log.f64 (exp.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))) (exp.f64 x))
59.8b
(pow.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) 1)) 2)
59.3b
(*.f64 (log.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1))) (-.f64 1 x))
Compiler

Compiled 429 to 319 computations (25.6% saved)

regimes85.0ms (0.6%)

Counts
49 → 3
Calls
Call 1
Inputs
(exp.f64 (neg.f64 x))
(fmod.f64 (exp.f64 x) 1)
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
(-.f64 (+.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) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 1 x))
(-.f64 (+.f64 1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 1 x))) 1)
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 1 (+.f64 x (*.f64 x (*.f64 x -1/2)))))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6)))))
(exp.f64 (log.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 (sqrt.f64 (fmod.f64 (exp.f64 x) 1)) 2)
(pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) 1) 3) 1/3)
(pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) 1) 3) 1/3)
(exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) x))
(*.f64 (exp.f64 (log.f64 (fmod.f64 (exp.f64 x) 1))) (-.f64 1 x))
(exp.f64 (*.f64 1/3 (*.f64 3 (log.f64 (fmod.f64 (exp.f64 x) 1)))))
(*.f64 (log.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1))) (-.f64 1 x))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 (neg.f64 x)))
(-.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 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 (exp.f64 (log.f64 (fmod.f64 (exp.f64 x) 1))) (exp.f64 x))
(/.f64 (log.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(exp.f64 (+.f64 x (log.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)))))
(pow.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x)) 1)
(pow.f64 (pow.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (+.f64 x 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2)
(pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 3) 1/3)
(exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))
(pow.f64 (sqrt.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x))) 2)
(pow.f64 (pow.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x)) 3) 1/3)
(pow.f64 (exp.f64 (*.f64 3 (+.f64 x (log.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)))))) 1/3)
(/.f64 (log.f64 (exp.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (exp.f64 x))
(/.f64 (log.f64 (exp.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (exp.f64 x))
(/.f64 (exp.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (exp.f64 x))
(exp.f64 (-.f64 (log.f64 (log.f64 (exp.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) x))
(pow.f64 (pow.f64 (pow.f64 (pow.f64 (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))) 6) 1/6) 3) 1/3)
(/.f64 (exp.f64 (log.f64 (log.f64 (exp.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))) (exp.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (fmod.f64 (exp.f64 x) 1))) (pow.f64 (sqrt.f64 (E.f64)) (log.f64 (fmod.f64 (exp.f64 x) 1))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (E.f64)) 2) (log.f64 (fmod.f64 (exp.f64 x) 1))) (pow.f64 (cbrt.f64 (E.f64)) (log.f64 (fmod.f64 (exp.f64 x) 1))))
(exp.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x (+.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))))))
Outputs
(exp.f64 (neg.f64 x))
(/.f64 (exp.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (exp.f64 x))
(exp.f64 (neg.f64 x))
Calls

2 calls:

60.0ms
x
9.0ms
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Results
ErrorSegmentsBranch
27.5b1x
26.3b3(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Compiler

Compiled 615 to 317 computations (48.5% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.0
NaN
0.0ms
0.0
1.5543122344752168e-15
Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes66.0ms (0.5%)

Counts
42 → 3
Calls
Call 1
Inputs
(exp.f64 (neg.f64 x))
(fmod.f64 (exp.f64 x) 1)
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
(-.f64 (+.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) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 1 x))
(-.f64 (+.f64 1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 1 x))) 1)
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 1 (+.f64 x (*.f64 x (*.f64 x -1/2)))))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6)))))
(exp.f64 (log.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 (sqrt.f64 (fmod.f64 (exp.f64 x) 1)) 2)
(pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) 1) 3) 1/3)
(pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) 1) 3) 1/3)
(exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) x))
(*.f64 (exp.f64 (log.f64 (fmod.f64 (exp.f64 x) 1))) (-.f64 1 x))
(exp.f64 (*.f64 1/3 (*.f64 3 (log.f64 (fmod.f64 (exp.f64 x) 1)))))
(*.f64 (log.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1))) (-.f64 1 x))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 (neg.f64 x)))
(-.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 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 (exp.f64 (log.f64 (fmod.f64 (exp.f64 x) 1))) (exp.f64 x))
(/.f64 (log.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(exp.f64 (+.f64 x (log.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)))))
(pow.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x)) 1)
(pow.f64 (pow.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (+.f64 x 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2)
(pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 3) 1/3)
(exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))
(pow.f64 (sqrt.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x))) 2)
(pow.f64 (pow.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x)) 3) 1/3)
(pow.f64 (exp.f64 (*.f64 3 (+.f64 x (log.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)))))) 1/3)
(/.f64 (log.f64 (exp.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (exp.f64 x))
(/.f64 (log.f64 (exp.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (exp.f64 x))
Outputs
(exp.f64 (neg.f64 x))
(exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))
(exp.f64 (neg.f64 x))
Calls

2 calls:

27.0ms
x
8.0ms
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Results
ErrorSegmentsBranch
27.5b1x
26.3b3(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Compiler

Compiled 485 to 260 computations (46.4% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.0
NaN
0.0ms
0.0
1.5543122344752168e-15
Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes65.0ms (0.5%)

Counts
36 → 3
Calls
Call 1
Inputs
(exp.f64 (neg.f64 x))
(fmod.f64 (exp.f64 x) 1)
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
(-.f64 (+.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) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 1 x))
(-.f64 (+.f64 1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 1 x))) 1)
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 1 (+.f64 x (*.f64 x (*.f64 x -1/2)))))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6)))))
(exp.f64 (log.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 (sqrt.f64 (fmod.f64 (exp.f64 x) 1)) 2)
(pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) 1) 3) 1/3)
(pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) 1) 3) 1/3)
(exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) x))
(*.f64 (exp.f64 (log.f64 (fmod.f64 (exp.f64 x) 1))) (-.f64 1 x))
(exp.f64 (*.f64 1/3 (*.f64 3 (log.f64 (fmod.f64 (exp.f64 x) 1)))))
(*.f64 (log.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1))) (-.f64 1 x))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 (neg.f64 x)))
(-.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 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 (exp.f64 (log.f64 (fmod.f64 (exp.f64 x) 1))) (exp.f64 x))
(/.f64 (log.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(exp.f64 (+.f64 x (log.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)))))
(pow.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x)) 1)
(pow.f64 (pow.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (+.f64 x 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2)
(pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 3) 1/3)
Outputs
(exp.f64 (neg.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(exp.f64 (neg.f64 x))
Calls

2 calls:

45.0ms
x
9.0ms
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Results
ErrorSegmentsBranch
27.5b1x
26.3b3(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Compiler

Compiled 405 to 226 computations (44.2% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.0
NaN
0.0ms
0.0
1.5543122344752168e-15
Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes47.0ms (0.4%)

Accuracy

Total -33.1b remaining (-120.3%)

Threshold costs -33.1b (-120.3%)

Counts
29 → 1
Calls
Call 1
Inputs
(exp.f64 (neg.f64 x))
(fmod.f64 (exp.f64 x) 1)
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
(-.f64 (+.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) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 1 x))
(-.f64 (+.f64 1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 1 x))) 1)
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (-.f64 1 (+.f64 x (*.f64 x (*.f64 x -1/2)))))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6)))))
(exp.f64 (log.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 (sqrt.f64 (fmod.f64 (exp.f64 x) 1)) 2)
(pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) 1) 3) 1/3)
(pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) 1) 3) 1/3)
(exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) 1)) x))
(*.f64 (exp.f64 (log.f64 (fmod.f64 (exp.f64 x) 1))) (-.f64 1 x))
(exp.f64 (*.f64 1/3 (*.f64 3 (log.f64 (fmod.f64 (exp.f64 x) 1)))))
(*.f64 (log.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1))) (-.f64 1 x))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1)) (exp.f64 (neg.f64 x)))
(-.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 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 (exp.f64 (log.f64 (fmod.f64 (exp.f64 x) 1))) (exp.f64 x))
(/.f64 (log.f64 (exp.f64 (fmod.f64 (exp.f64 x) 1))) (exp.f64 x))
Outputs
(exp.f64 (neg.f64 x))
Calls

1 calls:

39.0ms
x
Results
ErrorSegmentsBranch
27.5b1x
Compiler

Compiled 312 to 184 computations (41% saved)

simplify8.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
026218
131218
234218
335218
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) 0) (exp.f64 (neg.f64 x)) (if (<=.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) 2) (/.f64 (exp.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (exp.f64 x)) (exp.f64 (neg.f64 x))))
(if (<=.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) 0) (exp.f64 (neg.f64 x)) (if (<=.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) 2) (exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) (exp.f64 (neg.f64 x))))
(if (<=.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) 0) (exp.f64 (neg.f64 x)) (if (<=.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) 2) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) (exp.f64 (neg.f64 x))))
(exp.f64 (neg.f64 x))
Outputs
(if (<=.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) 0) (exp.f64 (neg.f64 x)) (if (<=.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) 2) (/.f64 (exp.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (exp.f64 x)) (exp.f64 (neg.f64 x))))
(if (<=.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) 0) (exp.f64 (neg.f64 x)) (if (<=.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) 2) (exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) (exp.f64 (neg.f64 x))))
(if (<=.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) 0) (exp.f64 (neg.f64 x)) (if (<=.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) 2) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) (exp.f64 (neg.f64 x))))
(exp.f64 (neg.f64 x))
Compiler

Compiled 133 to 52 computations (60.9% saved)

soundness428.0ms (3.2%)

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

Useful iterations: 2 (0.0ms)

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

Compiled 97 to 65 computations (33% saved)

end39.0ms (0.3%)

Compiler

Compiled 130 to 32 computations (75.4% saved)

Profiling

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