Details

Time bar (total: 11.9s)

analyze287.0ms (2.4%)

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)

sample8.6s (72.1%)

Results
3.6s1578×body8192exit
2.5s4072×body1024valid
779.0ms2112×body512valid
717.0ms1640×body1024invalid
364.0ms1899×body256valid
274.0ms896×body512invalid
144.0ms173×body2048valid
138.0ms881×body256invalid

preprocess57.0ms (0.5%)

Algorithm
2×egg-herbie
Rules
924×unswap-sqr_binary64
427×associate-/l*_binary64
379×fma-def_binary64
325×fma-neg_binary64
275×fabs-mul_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
11617
22615
33915
46315
512015
627615
770815
8114515
9309515
10499515
11573415
12703115
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)

simplify52.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
924×unswap-sqr_binary64
427×associate-/l*_binary64
379×fma-def_binary64
325×fma-neg_binary64
275×fabs-mul_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0917
11617
22615
33915
46315
512015
627615
770815
8114515
9309515
10499515
11573415
12703115
Stop Event
1×node limit
Counts
1 → 2
Calls
Call 1
Inputs
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Outputs
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))

eval1.0ms (0%)

Compiler

Compiled 20 to 9 computations (55% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
60.3b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶60.3b
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
Compiler

Compiled 10 to 6 computations (40% saved)

localize11.0ms (0.1%)

Local error

Found 6 expressions with local error:

NewErrorProgram
3.6b
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
0.7b
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
0.0b
(sqrt.f64 (cos.f64 x))
✓0.0b
(sqrt.f64 (cos.f64 x))
✓0.7b
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
✓3.6b
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
Compiler

Compiled 24 to 6 computations (75% saved)

series4.0ms (0%)

Counts
3 → 8
Calls

9 calls:

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

rewrite45.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0730
113930
2174530
Stop Event
1×node limit
Counts
3 → 67
Calls
Call 1
Inputs
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(sqrt.f64 (cos.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 2) (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) (sqrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 1 (neg.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) 1) (/.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1) (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (exp.f64 (+.f64 x x)))) (/.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) (cbrt.f64 (exp.f64 (+.f64 x x)))) (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (cbrt.f64 (exp.f64 (+.f64 x x)))) (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (exp.f64 x))) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (sqrt.f64 (exp.f64 x))) (/.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 3) (pow.f64 (exp.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (cos.f64 x))) (cbrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 x) 1/4) (pow.f64 (cos.f64 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (sqrt.f64 (cbrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1/2) (pow.f64 (cbrt.f64 (cos.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 x) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (cos.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 x) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (cos.f64 x))))))))

simplify25.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
637×distribute-rgt-in_binary64
605×fma-neg_binary64
551×distribute-lft-in_binary64
337×fma-def_binary64
322×associate--r+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
048225
1129207
2414169
32123147
Stop Event
1×node limit
Counts
75 → 81
Calls
Call 1
Inputs
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (pow.f64 x 2))) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (+.f64 (*.f64 -1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 1/6 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (pow.f64 x 2))) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))))
1
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -1/96 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -1/96 (pow.f64 x 4)) (*.f64 -19/5760 (pow.f64 x 6)))))
Outputs
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))
(-.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 (+.f64 (neg.f64 x) 1) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (pow.f64 x 2))) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x))))
(fma.f64 -1 (*.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1/2) (*.f64 x x)) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)))
(-.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 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2) (*.f64 x x) (*.f64 (+.f64 (neg.f64 x) 1) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (+.f64 1 (neg.f64 x)) (*.f64 (*.f64 x x) -1/2)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (+.f64 (*.f64 -1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 1/6 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (pow.f64 x 2))) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))))
(fma.f64 -1 (*.f64 (fma.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1/2) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1/3)) (pow.f64 x 3)) (fma.f64 -1 (*.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1/2) (*.f64 x x)) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))))
(-.f64 (-.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 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2) (*.f64 x x) (fma.f64 (pow.f64 x 3) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1/6) (*.f64 (+.f64 (neg.f64 x) 1) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(+.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x)) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 1/6 (pow.f64 x 3)))))
1
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1 (*.f64 (*.f64 x x) -1/4))
(fma.f64 (*.f64 x x) -1/4 1)
(fma.f64 x (*.f64 x -1/4) 1)
(+.f64 1 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -1/96 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/4 (*.f64 x x) (*.f64 -1/96 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/96 (pow.f64 x 4) (*.f64 (*.f64 x x) -1/4)))
(fma.f64 x (*.f64 x -1/4) (fma.f64 -1/96 (pow.f64 x 4) 1))
(+.f64 1 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -1/96 (pow.f64 x 4)) (*.f64 -19/5760 (pow.f64 x 6)))))
(+.f64 1 (fma.f64 -1/4 (*.f64 x x) (fma.f64 -1/96 (pow.f64 x 4) (*.f64 -19/5760 (pow.f64 x 6)))))
(+.f64 (fma.f64 (*.f64 x x) -1/4 1) (fma.f64 -1/96 (pow.f64 x 4) (*.f64 -19/5760 (pow.f64 x 6))))
(+.f64 (fma.f64 x (*.f64 x -1/4) 1) (fma.f64 -1/96 (pow.f64 x 4) (*.f64 -19/5760 (pow.f64 x 6))))

eval15.0ms (0.1%)

Compiler

Compiled 1258 to 410 computations (67.4% saved)

prune18.0ms (0.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New72981
Fresh000
Picked011
Done000
Total721082
Error
60.2b
Counts
82 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
▶60.7b
(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))
60.3b
(log.f64 (exp.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))
▶61.0b
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
✓60.3b
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
▶60.3b
(cbrt.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 3))
60.3b
(/.f64 (pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 3) 1/3) (exp.f64 x))
61.2b
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
▶60.3b
(-.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 1)
▶60.3b
(exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))
60.5b
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x))
Compiler

Compiled 216 to 148 computations (31.5% saved)

localize14.0ms (0.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
2.2b
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
1.2b
(-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)
0.1b
(exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))
0.0b
(sqrt.f64 (cos.f64 x))
✓0.1b
(exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))
✓1.2b
(-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)
✓2.2b
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
3.6b
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
Compiler

Compiled 41 to 8 computations (80.5% saved)

series61.0ms (0.5%)

Counts
3 → 20
Calls

9 calls:

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

rewrite56.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0942
117942
2231442
Stop Event
1×node limit
Counts
3 → 92
Calls
Call 1
Inputs
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)
(exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (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 (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 (+.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 (cbrt.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (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 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 (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 (-.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 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(sqrt.f64 (cos.f64 x))))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.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))))))) (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x))))))) (#(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 (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 x 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(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (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))))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (sqrt.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (neg.f64 x))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 2) (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) (sqrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) 1) (/.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1) (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (exp.f64 x))) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (sqrt.f64 (exp.f64 x))) (/.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (/.f64 (exp.f64 x) (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 (exp.f64 x) (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (neg.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2)) (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 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))))))))

simplify43.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
776×distribute-rgt-neg-in_binary64
660×distribute-lft-neg-in_binary64
522×cancel-sign-sub-inv_binary64
459×fma-def_binary64
405×distribute-lft-out_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
027382
172363
2180325
3556303
42034293
55467293
Stop Event
1×node limit
Counts
112 → 105
Calls
Call 1
Inputs
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(+.f64 (*.f64 -1 x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(+.f64 (*.f64 -1 x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(+.f64 (*.f64 -1 x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(+.f64 (*.f64 -1 x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(+.f64 (*.f64 -1 x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(+.f64 (*.f64 -1 x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(+.f64 (*.f64 -1 x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (*.f64 1/2 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 x 2))) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x))))
(+.f64 (*.f64 1/2 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 x 2))) (+.f64 (*.f64 -1/6 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 x 3))) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))))
(exp.f64 (+.f64 (*.f64 -1 x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(exp.f64 (+.f64 (*.f64 -1 x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(exp.f64 (+.f64 (*.f64 -1 x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(exp.f64 (+.f64 (*.f64 -1 x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
Outputs
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(+.f64 (*.f64 -1 x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fma.f64 -1 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)
(+.f64 (*.f64 -1 x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fma.f64 -1 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)
(+.f64 (*.f64 -1 x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fma.f64 -1 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fma.f64 -1 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)
(+.f64 (*.f64 -1 x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fma.f64 -1 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)
(+.f64 (*.f64 -1 x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fma.f64 -1 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fma.f64 -1 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)
(+.f64 (*.f64 -1 x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fma.f64 -1 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)
(+.f64 (*.f64 -1 x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fma.f64 -1 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (*.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(-.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 (+.f64 (neg.f64 x) 1) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 x -1 1))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(+.f64 (*.f64 1/2 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 x 2))) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x))))
(fma.f64 1/2 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x x)) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (*.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))
(-.f64 (fma.f64 1/2 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (neg.f64 x) (*.f64 1/2 (*.f64 x 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 (*.f64 x -1/6) 1/2)) x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/6))) (-.f64 1 x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x 1/6)))))
(exp.f64 (+.f64 (*.f64 -1 x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(exp.f64 (fma.f64 -1 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(exp.f64 (+.f64 (*.f64 -1 x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(exp.f64 (fma.f64 -1 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(exp.f64 (+.f64 (*.f64 -1 x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(exp.f64 (fma.f64 -1 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(exp.f64 (+.f64 (*.f64 -1 x) (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(exp.f64 (fma.f64 -1 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
3.6b
(fmod.f64 (exp.f64 x) 1)
0.7b
(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))
✓0.7b
(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))
✓3.6b
(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)

rewrite37.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

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

simplify47.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
685×fma-neg_binary64
633×unsub-neg_binary64
578×distribute-rgt-in_binary64
500×distribute-lft-in_binary64
308×associate--r+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
033135
198115
232987
3180174
4743374
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 x (*.f64 x -1/2)))))
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 (+.f64 x (*.f64 x (*.f64 x -1/2)))))
(*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 (*.f64 1/2 (*.f64 x x)) (-.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))) (+.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 x (*.f64 x -1/2))) (*.f64 1/6 (pow.f64 x 3)))))

localize13.0ms (0.1%)

Local error

Found 6 expressions with local error:

NewErrorProgram
3.6b
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
0.0b
(sqrt.f64 (cos.f64 x))
0.0b
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
✓0.0b
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
0.0b
(sqrt.f64 (cos.f64 x))
3.6b
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
Compiler

Compiled 29 to 11 computations (62.1% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite38.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0916
117716
2212616
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))))))))

simplify74.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
572×unswap-sqr_binary64
445×fabs-mul_binary64
369×times-frac_binary64
323×fma-def_binary64
307×*-commutative_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
010283
116265
233202
349193
467184
5131184
6245184
7352184
8449184
9536184
10560184
11635184
12855184
131637184
144316184
156179184
167498184
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))

localize15.0ms (0.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
3.6b
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
1.9b
(-.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 1)
0.7b
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
0.0b
(sqrt.f64 (cos.f64 x))
0.0b
(sqrt.f64 (cos.f64 x))
0.7b
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
✓1.9b
(-.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 1)
3.6b
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
Compiler

Compiled 49 to 13 computations (73.5% saved)

series25.0ms (0.2%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
24.0ms
x
@-inf
(-.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 1)
0.0ms
x
@0
(-.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 1)
0.0ms
x
@inf
(-.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 1)

rewrite54.0ms (0.5%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01021
121515
2288915
Stop Event
1×node limit
Counts
1 → 106
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 2) (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2)) (*.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) (sqrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 1 (neg.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)) 1) 2) (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)) 2))))))) (#(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 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))) (/.f64 1 (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.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) 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (cbrt.f64 (pow.f64 (exp.f64 x) 2))) (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (cbrt.f64 (exp.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (exp.f64 x) -1/2) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (exp.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2)) (sqrt.f64 (exp.f64 x))) (/.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (sqrt.f64 (exp.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)) 1)) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 1) (-.f64 (sqrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 1) 1)))))

simplify51.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
753×unsub-neg_binary64
637×distribute-rgt-in_binary64
605×fma-neg_binary64
551×distribute-lft-in_binary64
323×associate--r+_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
032293
193277
2320241
31801219
47537215
Stop Event
1×node limit
Counts
118 → 113
Calls
Call 1
Inputs
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (pow.f64 x 2))) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (+.f64 (*.f64 -1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 1/6 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (pow.f64 x 2))) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
Outputs
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))
(-.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 (+.f64 (neg.f64 x) 1) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (pow.f64 x 2))) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x))))
(fma.f64 -1 (*.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1/2) (*.f64 x x)) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)))
(fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2) (*.f64 x x) (-.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2) (*.f64 x x) (*.f64 (+.f64 (neg.f64 x) 1) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (+.f64 1 (neg.f64 x)) (*.f64 x (*.f64 x -1/2))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (-.f64 1 x) (*.f64 1/2 (*.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)))))
(fma.f64 -1 (*.f64 (fma.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1/2) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1/3)) (pow.f64 x 3)) (fma.f64 -1 (*.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1/2) (*.f64 x x)) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))))
(fma.f64 (neg.f64 (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1/3 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2))) (pow.f64 x 3) (fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2) (*.f64 x x) (-.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))
(fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2) (*.f64 x x) (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 (*.f64 1/6 (pow.f64 x 3)))) (*.f64 x (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 (*.f64 x 1/2)))))
(fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2) (*.f64 x x) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (-.f64 1 x) (*.f64 1/6 (pow.f64 x 3)))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))

localize15.0ms (0.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.7b
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
0.0b
(cbrt.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 3))
0.0b
(sqrt.f64 (cos.f64 x))
0.0b
(pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 3)
0.0b
(sqrt.f64 (cos.f64 x))
✓0.0b
(cbrt.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 3))
0.7b
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
3.6b
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
Compiler

Compiled 48 to 12 computations (75% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
(cbrt.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 3))
0.0ms
x
@-inf
(cbrt.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 3))
0.0ms
x
@inf
(cbrt.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 3))

rewrite50.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01015
121015
2233715
Stop Event
1×node limit
Counts
1 → 44
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (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))) (cbrt.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 *.f64 (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) (pow.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.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 (pow.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 2) 1/3) (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 3/2) 1/3) (pow.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) 1) (/.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1) (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (exp.f64 x))) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (sqrt.f64 (exp.f64 x))) (/.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (/.f64 (exp.f64 x) (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 (exp.f64 x) (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (neg.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (neg.f64 (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 (/.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 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))))))

simplify48.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
753×unsub-neg_binary64
637×distribute-rgt-in_binary64
605×fma-neg_binary64
551×distribute-lft-in_binary64
323×associate--r+_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
032293
193277
2320241
31801219
47537215
Stop Event
1×node limit
Counts
56 → 51
Calls
Call 1
Inputs
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (pow.f64 x 2))) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (+.f64 (*.f64 -1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 1/6 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (pow.f64 x 2))) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
Outputs
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))
(-.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 (+.f64 (neg.f64 x) 1) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (pow.f64 x 2))) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x))))
(fma.f64 -1 (*.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1/2) (*.f64 x x)) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)))
(fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2) (*.f64 x x) (-.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2) (*.f64 x x) (*.f64 (+.f64 (neg.f64 x) 1) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (+.f64 1 (neg.f64 x)) (*.f64 x (*.f64 x -1/2))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (-.f64 1 x) (*.f64 1/2 (*.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)))))
(fma.f64 -1 (*.f64 (fma.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1/2) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1/3)) (pow.f64 x 3)) (fma.f64 -1 (*.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1/2) (*.f64 x x)) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))))
(fma.f64 (neg.f64 (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1/3 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2))) (pow.f64 x 3) (fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2) (*.f64 x x) (-.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))
(fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2) (*.f64 x x) (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 (*.f64 1/6 (pow.f64 x 3)))) (*.f64 x (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 (*.f64 x 1/2)))))
(fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2) (*.f64 x x) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (-.f64 1 x) (*.f64 1/6 (pow.f64 x 3)))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))

eval119.0ms (1%)

Compiler

Compiled 9961 to 3385 computations (66% saved)

prune204.0ms (1.7%)

Pruning

22 alts after pruning (18 fresh and 4 done)

PrunedKeptTotal
New55116567
Fresh224
Picked101
Done145
Total55522577
Error
24.0b
Counts
577 → 22
Alt Table
Click to see full alt table
StatusErrorProgram
✓60.7b
(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))
60.3b
(log.f64 (exp.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))
✓61.0b
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
▶25.7b
(exp.f64 (neg.f64 x))
▶61.0b
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (-.f64 1 x))
✓60.3b
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
▶60.3b
(exp.f64 (log1p.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))))
60.3b
(exp.f64 (-.f64 (log.f64 (pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 3) 1/3)) x))
60.2b
(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)))
60.7b
(-.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))) 1)
60.3b
(pow.f64 (exp.f64 1) (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))
60.2b
(exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 3))
61.1b
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
▶60.7b
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x 1/6)))))
▶61.2b
(fmod.f64 (exp.f64 x) 1)
60.5b
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x))
60.3b
(exp.f64 (-.f64 (pow.f64 (cbrt.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 3) x))
60.5b
(-.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x))) 1)
61.0b
(-.f64 (+.f64 1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))) 1)
60.2b
(exp.f64 (*.f64 (*.f64 3 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 1/3))
61.0b
(*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 (*.f64 1/2 (*.f64 x x)) (-.f64 1 x)))
✓60.3b
(exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))
Compiler

Compiled 532 to 381 computations (28.4% saved)

localize4.0ms (0%)

Compiler

Compiled 7 to 3 computations (57.1% saved)

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
3.6b
(fmod.f64 (exp.f64 x) 1)
3.6b
(fmod.f64 (exp.f64 x) 1)
Compiler

Compiled 9 to 5 computations (44.4% saved)

rewrite0.0ms (0%)

Counts
0 → 0

simplify5.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
0 → 0
Calls
Call 1
Inputs
Outputs

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
3.6b
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))
0.0b
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (-.f64 1 x))
✓0.0b
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (-.f64 1 x))
✓3.6b
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))
Compiler

Compiled 40 to 25 computations (37.5% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite46.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
966×pow1_binary64
894×add-log-exp_binary64
894×log1p-expm1-u_binary64
894×expm1-log1p-u_binary64
100×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01032
120032
2238432
Stop Event
1×node limit
Counts
2 → 37
Calls
Call 1
Inputs
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (-.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))) (cbrt.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) 2)) (cbrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))) (sqrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (*.f64 (neg.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 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 x (*.f64 x -1/4) 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 x (*.f64 x -1/4) 1))) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 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 x (*.f64 x -1/4) 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 x (*.f64 x -1/4) 1)) (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 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 x (*.f64 x -1/4) 1)) (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 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 x (*.f64 x -1/4) 1))) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 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 x (*.f64 x -1/4) 1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (-.f64 1 x))))))))

simplify67.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
572×unswap-sqr_binary64
495×fma-def_binary64
369×times-frac_binary64
285×associate-/l/_binary64
281×associate-/l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
012493
124484
243394
361385
479376
5143376
6258376
7364376
8471376
9613376
10755376
11905376
121148376
131945376
144760376
156681376
Stop Event
1×node limit
Counts
61 → 43
Calls
Call 1
Inputs
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)))
(*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) x))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)))
(*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) x))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)))
Outputs
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))
(fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 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 x (*.f64 -1/4 x) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)))
(fma.f64 -1 (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)))
(-.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))))
(*.f64 (+.f64 (neg.f64 x) 1) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -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 x (*.f64 -1/4 x) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)))
(fma.f64 -1 (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)))
(-.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))))
(*.f64 (+.f64 (neg.f64 x) 1) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -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 x (*.f64 -1/4 x) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)))
(fma.f64 -1 (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)))
(-.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))))
(*.f64 (+.f64 (neg.f64 x) 1) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -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 x (*.f64 -1/4 x) 1)) x))
(neg.f64 (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))))
(*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))))
(*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)))
(fma.f64 -1 (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)))
(-.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))))
(*.f64 (+.f64 (neg.f64 x) 1) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -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 x (*.f64 -1/4 x) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)))
(fma.f64 -1 (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)))
(-.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))))
(*.f64 (+.f64 (neg.f64 x) 1) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -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 x (*.f64 -1/4 x) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)))
(fma.f64 -1 (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)))
(-.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))))
(*.f64 (+.f64 (neg.f64 x) 1) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -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 x (*.f64 -1/4 x) 1)) x))
(neg.f64 (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))))
(*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))))
(*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (fma.f64 -1/4 (*.f64 x x) 1))))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (neg.f64 x))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)))
(fma.f64 -1 (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)))
(-.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))))
(*.f64 (+.f64 (neg.f64 x) 1) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -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 x (*.f64 -1/4 x) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)))
(fma.f64 -1 (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)))
(-.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))))
(*.f64 (+.f64 (neg.f64 x) 1) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -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 x (*.f64 -1/4 x) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)))
(fma.f64 -1 (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)))
(-.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))))
(*.f64 (+.f64 (neg.f64 x) 1) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 -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))

localize30.0ms (0.3%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x 1/6)))
0.0b
(sqrt.f64 (cos.f64 x))
0.0b
(-.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x 1/6))))
0.0b
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x 1/6)))))
0.0b
(sqrt.f64 (cos.f64 x))
✓0.0b
(*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x 1/6)))
✓0.3b
(*.f64 x 1/6)
3.6b
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
Compiler

Compiled 74 to 39 computations (47.3% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite46.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
909×pow1_binary64
855×add-log-exp_binary64
855×log1p-expm1-u_binary64
855×expm1-log1p-u_binary64
838×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0817
118015
2235115
Stop Event
1×node limit
Counts
2 → 35
Calls
Call 1
Inputs
(*.f64 x 1/6)
(*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x 1/6)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.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 (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 (*.f64 (*.f64 x x) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.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 +.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) 1) (*.f64 (*.f64 1/6 (pow.f64 x 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x (fma.f64 x 1/6 -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 3) (pow.f64 (*.f64 1/6 (pow.f64 x 3)) 3)) (+.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 x (*.f64 x -1/2))) (-.f64 (*.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/6 (pow.f64 x 3))) (*.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 1/6 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 x (*.f64 x -1/2))) (*.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/6 (pow.f64 x 3)))) (-.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1/8 (*.f64 (pow.f64 x 3) 1/216)) (*.f64 x x)) (+.f64 1/4 (-.f64 (*.f64 (*.f64 x x) 1/36) (*.f64 -1/12 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/4 (*.f64 (*.f64 x x) 1/36)) (*.f64 x x)) (+.f64 -1/2 (*.f64 -1/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (+.f64 -1/8 (*.f64 (pow.f64 x 3) 1/216))) (+.f64 1/4 (-.f64 (*.f64 (*.f64 x x) 1/36) (*.f64 -1/12 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (-.f64 1/4 (*.f64 (*.f64 x x) 1/36))) (+.f64 -1/2 (*.f64 -1/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x (fma.f64 x 1/6 -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x 1/6 -1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x 1/6 -1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x 1/6 -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x 1/6 -1/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x 1/6 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x 1/6 -1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (fma.f64 x 1/6 -1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 x 1/6 -1/2) 3) (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 x 1/6 -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 x 1/6 -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x 1/6 -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) -1/2 (*.f64 1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (*.f64 x x) (*.f64 1/6 (pow.f64 x 3)))))))

simplify136.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
969×sqr-pow_binary64
536×unswap-sqr_binary64
490×fma-def_binary64
488×cube-prod_binary64
482×*-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
012195
129195
259186
3149168
4388168
51529168
63276168
73632168
83882168
94169168
104548168
115094168
125725168
136431168
146898168
157217168
167487168
177655168
187747168
Stop Event
1×node limit
Counts
59 → 41
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 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 2)))
(*.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 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/2 (pow.f64 x 2)))
(*.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 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/2 (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 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 x (*.f64 x -1/2))
(+.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 1/6 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 (*.f64 x x) (+.f64 (*.f64 1/6 x) -1/2))
(*.f64 (*.f64 x x) (fma.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 -1/2 (pow.f64 x 2)))
(fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x)))
(fma.f64 1/6 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 (*.f64 x x) (+.f64 (*.f64 1/6 x) -1/2))
(*.f64 (*.f64 x x) (fma.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 -1/2 (pow.f64 x 2)))
(fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x)))
(fma.f64 1/6 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 (*.f64 x x) (+.f64 (*.f64 1/6 x) -1/2))
(*.f64 (*.f64 x x) (fma.f64 1/6 x -1/2))
(*.f64 x (*.f64 x (fma.f64 1/6 x -1/2)))
(*.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 1/6 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 (*.f64 x x) (+.f64 (*.f64 1/6 x) -1/2))
(*.f64 (*.f64 x x) (fma.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 -1/2 (pow.f64 x 2)))
(fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x)))
(fma.f64 1/6 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 (*.f64 x x) (+.f64 (*.f64 1/6 x) -1/2))
(*.f64 (*.f64 x x) (fma.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 -1/2 (pow.f64 x 2)))
(fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x)))
(fma.f64 1/6 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 (*.f64 x x) (+.f64 (*.f64 1/6 x) -1/2))
(*.f64 (*.f64 x x) (fma.f64 1/6 x -1/2))
(*.f64 x (*.f64 x (fma.f64 1/6 x -1/2)))
(*.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 1/6 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 (*.f64 x x) (+.f64 (*.f64 1/6 x) -1/2))
(*.f64 (*.f64 x x) (fma.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 -1/2 (pow.f64 x 2)))
(fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x)))
(fma.f64 1/6 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 (*.f64 x x) (+.f64 (*.f64 1/6 x) -1/2))
(*.f64 (*.f64 x x) (fma.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 -1/2 (pow.f64 x 2)))
(fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/2 (*.f64 x x)))
(fma.f64 1/6 (pow.f64 x 3) (*.f64 x (*.f64 x -1/2)))
(*.f64 (*.f64 x x) (+.f64 (*.f64 1/6 x) -1/2))
(*.f64 (*.f64 x x) (fma.f64 1/6 x -1/2))
(*.f64 x (*.f64 x (fma.f64 1/6 x -1/2)))

localize18.0ms (0.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
1.8b
(log1p.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)))
1.2b
(-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)
0.1b
(exp.f64 (log1p.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))))
0.0b
(sqrt.f64 (cos.f64 x))
1.2b
(-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)
✓1.8b
(log1p.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)))
2.2b
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
3.6b
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
Compiler

Compiled 64 to 10 computations (84.4% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(log1p.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)))
0.0ms
x
@inf
(log1p.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)))
0.0ms
x
@-inf
(log1p.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)))

rewrite48.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
911×pow1_binary64
842×expm1-log1p-u_binary64
841×add-log-exp_binary64
841×log1p-expm1-u_binary64
820×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01015
118415
2229715
Stop Event
1×node limit
Counts
1 → 38
Calls
Call 1
Inputs
(log1p.f64 (expm1.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 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 3) (+.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)))))))) (/.f64 (pow.f64 x 3) (+.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 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (/.f64 (*.f64 x x) (+.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.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) (sqrt.f64 (cos.f64 x))))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.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))))))) (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x))))))) (#(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 (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 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 3) (pow.f64 x 3))) (neg.f64 (+.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 (neg.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 x x))) (neg.f64 (+.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)))) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (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))))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (sqrt.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (neg.f64 x))))))

simplify62.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
495×times-frac_binary64
435×fabs-mul_binary64
424×fabs-div_binary64
325×associate-/l/_binary64
320×associate-/l*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
010162
114153
218153
323153
431153
548153
686153
7128153
8174153
9219153
10262153
11286153
12376153
13630153
141549153
154626153
165540153
176868153
Stop Event
1×node limit
Counts
50 → 42
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)))))
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)

eval74.0ms (0.6%)

Compiler

Compiled 5190 to 2387 computations (54% saved)

prune54.0ms (0.5%)

Pruning

25 alts after pruning (17 fresh and 8 done)

PrunedKeptTotal
New2575262
Fresh11213
Picked011
Done178
Total25925284
Error
24.0b
Counts
284 → 25
Alt Table
Click to see full alt table
StatusErrorProgram
✓60.7b
(/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))
60.9b
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x 1/6)))))
▶60.3b
(log.f64 (exp.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))
60.7b
(*.f64 (pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 3) 1/3) (-.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x 1/6)))))
▶60.5b
(-.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x))) 1)
✓25.7b
(exp.f64 (neg.f64 x))
✓61.0b
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (-.f64 1 x))
✓60.3b
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
✓60.3b
(exp.f64 (log1p.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))))
60.3b
(exp.f64 (-.f64 (log.f64 (pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 3) 1/3)) x))
▶60.2b
(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)))
60.2b
(exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 3))
▶61.1b
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
▶61.0b
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))) (+.f64 x 1))
✓60.7b
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x 1/6)))))
60.7b
(*.f64 (fmod.f64 (exp.f64 x) (-.f64 (+.f64 1 (sqrt.f64 (cos.f64 x))) 1)) (-.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x 1/6)))))
✓61.2b
(fmod.f64 (exp.f64 x) 1)
60.5b
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x))
60.3b
(exp.f64 (-.f64 (pow.f64 (cbrt.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 3) x))
61.0b
(-.f64 (+.f64 1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))) 1)
60.2b
(exp.f64 (*.f64 (*.f64 3 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 1/3))
60.7b
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (-.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x 1/6)))))
60.7b
(-.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 x))) 1)
61.0b
(*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 (*.f64 1/2 (*.f64 x x)) (-.f64 1 x)))
✓60.3b
(exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))
Compiler

Compiled 664 to 477 computations (28.2% saved)

localize22.0ms (0.2%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.0b
(exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2))
0.0b
(cbrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))
0.0b
(pow.f64 (cbrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2)
0.0b
(sqrt.f64 (cos.f64 x))
✓0.1b
(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)))
1.2b
(-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)
2.2b
(log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
3.6b
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
Compiler

Compiled 91 to 18 computations (80.2% saved)

series12.0ms (0.1%)

Counts
1 → 6
Calls

3 calls:

TimeVariablePointExpression
8.0ms
x
@0
(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)))
2.0ms
x
@inf
(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)))
1.0ms
x
@-inf
(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)))

rewrite47.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
549×log-prod_binary64
384×prod-diff_binary64
332×pow-prod-down_binary64
314×pow-pow_binary64
314×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01317
126315
2311815
Stop Event
1×node limit
Counts
1 → 33
Calls
Call 1
Inputs
(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)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.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 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 1 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 (exp.f64 1) (*.f64 (neg.f64 x) 1)))))) (#(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 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) (pow.f64 (exp.f64 1) (fma.f64 (neg.f64 x) 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) (pow.f64 (exp.f64 1) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) (pow.f64 (exp.f64 1) (+.f64 (neg.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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 1 (exp.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 (cbrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2))) (*.f64 2 (cbrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)))) (pow.f64 (cbrt.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 *.f64 (pow.f64 (sqrt.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))) (pow.f64 (sqrt.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 *.f64 (pow.f64 (exp.f64 1) (*.f64 2 (*.f64 1/3 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)))) (pow.f64 (exp.f64 1) (*.f64 1/3 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 1) (*.f64 1/2 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))) (pow.f64 (exp.f64 1) (*.f64 1/2 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 2)) (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))))) (exp.f64 (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 (exp.f64 1) (exp.f64 (log1p.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)))) (pow.f64 (exp.f64 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (exp.f64 1) (/.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 3) (fma.f64 x (+.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2)))) (pow.f64 (exp.f64 1) (/.f64 (pow.f64 x 3) (fma.f64 x (+.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (exp.f64 1) (/.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (+.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))) (pow.f64 (exp.f64 1) (/.f64 (*.f64 x x) (+.f64 x (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))))

simplify68.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
928×fma-def_binary64
615×distribute-lft-in_binary64
615×distribute-rgt-in_binary64
526×associate-+l+_binary64
517×associate-+r+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01191896
13971569
215591515
373941482
Stop Event
1×node limit
Counts
39 → 42
Calls
Call 1
Inputs
(pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 1 1/3))
(+.f64 (*.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 1 1/3)) (*.f64 (+.f64 (*.f64 -1/3 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/9)) (*.f64 -2/3 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/9))) x)) (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 1 1/3)))
(+.f64 (*.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 1 1/3)) (*.f64 (+.f64 (*.f64 -1/3 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/9)) (*.f64 -2/3 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/9))) x)) (+.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (*.f64 1 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 1/3) (+.f64 (*.f64 -4/9 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2)) 1/9)) (*.f64 2 (+.f64 (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/9)) (+.f64 (*.f64 2/9 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2)) 1/9)) (*.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/9)))))))) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1/3 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/9)) (*.f64 -2/3 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/9))) 2)) (+.f64 (*.f64 -1/9 (pow.f64 (/.f64 1 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 1/9)) (*.f64 2/9 (pow.f64 (/.f64 1 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 1/9))))) (*.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 1 1/3)) (pow.f64 x 2))) (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 1 1/3))))
(+.f64 (*.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 1 1/3)) (*.f64 (+.f64 (*.f64 -1/3 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/9)) (*.f64 -2/3 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/9))) x)) (+.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (*.f64 1 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 1/3) (+.f64 (*.f64 -4/9 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2)) 1/9)) (*.f64 2 (+.f64 (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/9)) (+.f64 (*.f64 2/9 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2)) 1/9)) (*.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/9)))))))) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1/3 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/9)) (*.f64 -2/3 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/9))) 2)) (+.f64 (*.f64 -1/9 (pow.f64 (/.f64 1 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 1/9)) (*.f64 2/9 (pow.f64 (/.f64 1 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 1/9))))) (*.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 1 1/3)) (pow.f64 x 2))) (+.f64 (*.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 1 1/3)) (*.f64 (+.f64 (*.f64 2/27 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2)) 1/3))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -1/27 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2)) 1/3)) (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2)) 1/3)))))) (+.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (*.f64 1 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 1/3) (+.f64 (*.f64 -4/9 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2)) 1/9)) (*.f64 2 (+.f64 (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/9)) (+.f64 (*.f64 2/9 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2)) 1/9)) (*.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/9)))))))) (+.f64 (*.f64 -1/9 (pow.f64 (/.f64 1 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 1/9)) (*.f64 2/9 (pow.f64 (/.f64 1 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 1/9)))) (+.f64 (*.f64 -1/3 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/9)) (*.f64 -2/3 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/9)))) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 -16/27 (pow.f64 (*.f64 1 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 1/3)) (+.f64 (*.f64 4 (*.f64 (pow.f64 (*.f64 1 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 1/9) (+.f64 (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/9)) (+.f64 (*.f64 2/9 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2)) 1/9)) (*.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/9)))))) (*.f64 6 (+.f64 (*.f64 2/27 (*.f64 (pow.f64 1 1/9) (/.f64 1 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))) (+.f64 (*.f64 -4/81 (pow.f64 (*.f64 1 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 1/3)) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 1/3) (+.f64 (*.f64 -1/27 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2)) 1/3)) (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2)) 1/3)))))) (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 1/9) (+.f64 (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/9)) (*.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/9))))))))))) (pow.f64 (*.f64 1 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 1/3))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2)) 1/9) (+.f64 (*.f64 -4/9 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2)) 1/9)) (*.f64 2 (+.f64 (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/9)) (+.f64 (*.f64 2/9 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2)) 1/9)) (*.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/9)))))))) (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1/3 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/9)) (*.f64 -2/3 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/9))) 3))))))) (pow.f64 x 3))) (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 1 1/3)))))
1
1
Outputs
(pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 1 1/3))
(pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1)
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+.f64 (*.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 1 1/3)) (*.f64 (+.f64 (*.f64 -1/3 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/9)) (*.f64 -2/3 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/9))) x)) (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 1 1/3)))
(fma.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1) (*.f64 x (*.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4) 1/18) (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4) 1/18)) -1)) (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1))
(*.f64 (+.f64 (*.f64 x (*.f64 (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4) 1/18) (*.f64 (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4) 1/18) -1))) 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 (neg.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4) 1/18) (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4) 1/18))) 1))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 x (*.f64 (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4) 1/18) (neg.f64 (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4) 1/18))) 1))
(+.f64 (*.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 1 1/3)) (*.f64 (+.f64 (*.f64 -1/3 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/9)) (*.f64 -2/3 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/9))) x)) (+.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (*.f64 1 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 1/3) (+.f64 (*.f64 -4/9 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2)) 1/9)) (*.f64 2 (+.f64 (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/9)) (+.f64 (*.f64 2/9 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2)) 1/9)) (*.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/9)))))))) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1/3 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/9)) (*.f64 -2/3 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/9))) 2)) (+.f64 (*.f64 -1/9 (pow.f64 (/.f64 1 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 1/9)) (*.f64 2/9 (pow.f64 (/.f64 1 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 1/9))))) (*.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 1 1/3)) (pow.f64 x 2))) (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 1 1/3))))
(fma.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1) (*.f64 x (*.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4) 1/18) (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4) 1/18)) -1)) (fma.f64 (fma.f64 1/2 (*.f64 (cbrt.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (fma.f64 -4/9 (*.f64 (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) 1/18) (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) 1/18)) (*.f64 2 (fma.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/18)) (fma.f64 2/9 (*.f64 (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) 1/18) (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) 1/18)) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/18)) -2/9)))))) (fma.f64 1/2 (pow.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4) 1/18) (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4) 1/18)) -1) 2) (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 1/18) (pow.f64 (/.f64 1 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 1/18)) 1/9))) (*.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1) (*.f64 x x)) (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1)))
(+.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (*.f64 x x) (fma.f64 1/2 (*.f64 (cbrt.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (fma.f64 2 (+.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) 1/18) (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) 1/18)) 2/9) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/18)) -1/9)) (*.f64 -4/9 (*.f64 (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) 1/18) (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) 1/18))))) (fma.f64 1/2 (pow.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4) 1/18) (*.f64 (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4) 1/18) -1)) 2) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 1/18) (pow.f64 (/.f64 1 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 1/18))))))) (*.f64 (+.f64 (*.f64 x (*.f64 (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4) 1/18) (*.f64 (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4) 1/18) -1))) 1) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (*.f64 (fma.f64 1/2 (fma.f64 (cbrt.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (fma.f64 -4/9 (*.f64 (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) 1/18) (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) 1/18)) (*.f64 2 (fma.f64 (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) 1/18) (*.f64 2/9 (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) 1/18)) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/18)) -1/9)))) (pow.f64 (neg.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4) 1/18) (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4) 1/18))) 2)) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 1/18) (pow.f64 (/.f64 1 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 1/18)))) (*.f64 x x)) (fma.f64 x (neg.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4) 1/18) (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4) 1/18))) 1)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (*.f64 (fma.f64 1/2 (fma.f64 (cbrt.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (fma.f64 -4/9 (*.f64 (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) 1/18) (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) 1/18)) (*.f64 2 (fma.f64 (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) 1/18) (*.f64 2/9 (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) 1/18)) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/18)) -1/9)))) (pow.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4) 1/18) (neg.f64 (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4) 1/18))) 2)) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 1/18) (pow.f64 (/.f64 1 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 1/18)))) (*.f64 x x)) (fma.f64 x (*.f64 (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4) 1/18) (neg.f64 (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4) 1/18))) 1)))
(+.f64 (*.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 1 1/3)) (*.f64 (+.f64 (*.f64 -1/3 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/9)) (*.f64 -2/3 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/9))) x)) (+.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (*.f64 1 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 1/3) (+.f64 (*.f64 -4/9 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2)) 1/9)) (*.f64 2 (+.f64 (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/9)) (+.f64 (*.f64 2/9 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2)) 1/9)) (*.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/9)))))))) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 (*.f64 -1/3 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/9)) (*.f64 -2/3 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/9))) 2)) (+.f64 (*.f64 -1/9 (pow.f64 (/.f64 1 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 1/9)) (*.f64 2/9 (pow.f64 (/.f64 1 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 1/9))))) (*.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 1 1/3)) (pow.f64 x 2))) (+.f64 (*.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 1 1/3)) (*.f64 (+.f64 (*.f64 2/27 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2)) 1/3))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -1/27 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2)) 1/3)) (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2)) 1/3)))))) (+.f64 (*.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (*.f64 1 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 1/3) (+.f64 (*.f64 -4/9 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2)) 1/9)) (*.f64 2 (+.f64 (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/9)) (+.f64 (*.f64 2/9 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2)) 1/9)) (*.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/9)))))))) (+.f64 (*.f64 -1/9 (pow.f64 (/.f64 1 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 1/9)) (*.f64 2/9 (pow.f64 (/.f64 1 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 1/9)))) (+.f64 (*.f64 -1/3 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/9)) (*.f64 -2/3 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/9)))) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 -16/27 (pow.f64 (*.f64 1 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 1/3)) (+.f64 (*.f64 4 (*.f64 (pow.f64 (*.f64 1 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 1/9) (+.f64 (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/9)) (+.f64 (*.f64 2/9 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2)) 1/9)) (*.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/9)))))) (*.f64 6 (+.f64 (*.f64 2/27 (*.f64 (pow.f64 1 1/9) (/.f64 1 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))) (+.f64 (*.f64 -4/81 (pow.f64 (*.f64 1 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 1/3)) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 1/3) (+.f64 (*.f64 -1/27 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2)) 1/3)) (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2)) 1/3)))))) (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 1/9) (+.f64 (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/9)) (*.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/9))))))))))) (pow.f64 (*.f64 1 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 1/3))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2)) 1/9) (+.f64 (*.f64 -4/9 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2)) 1/9)) (*.f64 2 (+.f64 (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/9)) (+.f64 (*.f64 2/9 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2)) 1/9)) (*.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/9)))))))) (*.f64 1/6 (pow.f64 (+.f64 (*.f64 -1/3 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/9)) (*.f64 -2/3 (pow.f64 (*.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/9))) 3))))))) (pow.f64 x 3))) (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 1 1/3)))))
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(cos.f64 x)))) 2) 1/18)))) (*.f64 -1/6 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2)) 1/18))))))))) (pow.f64 x 3)) 1) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(fma.f64 x (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4) 1/18) (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4) 1/18)))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (*.f64 (fma.f64 1/2 (fma.f64 (cbrt.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (fma.f64 -4/9 (*.f64 (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) 1/18) (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) 1/18)) (*.f64 2 (fma.f64 (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) 1/18) (*.f64 2/9 (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) 1/18)) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/18)) -1/9)))) (pow.f64 (neg.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4) 1/18) (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4) 1/18))) 2)) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 1/18) (pow.f64 (/.f64 1 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 1/18)))) (*.f64 x x)) (fma.f64 (fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2))) 5/27) (fma.f64 2/27 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2))) (fma.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4) 1/18) (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4) 1/18)) (neg.f64 (fma.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 1/18) (pow.f64 (/.f64 1 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 1/18)) (*.f64 (fma.f64 -4/9 (*.f64 (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) 1/18) (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) 1/18)) (*.f64 2 (fma.f64 (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) 1/18) (*.f64 2/9 (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) 1/18)) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/18)) -1/9)))) (*.f64 1/2 (cbrt.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))))) (fma.f64 (fma.f64 -4/9 (*.f64 (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) 1/18) (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) 1/18)) (*.f64 2 (fma.f64 (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) 1/18) (*.f64 2/9 (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) 1/18)) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/18)) -1/9)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2)) 1/18) (*.f64 -1/6 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2)) 1/18))) (*.f64 1/6 (+.f64 (pow.f64 (neg.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4) 1/18) (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4) 1/18))) 3) (*.f64 (cbrt.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (fma.f64 4 (*.f64 (fma.f64 (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) 1/18) (*.f64 2/9 (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) 1/18)) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/18)) -1/9)) (*.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1/18) (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1/18))) (fma.f64 (cbrt.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) -16/27 (*.f64 6 (fma.f64 -2/3 (fma.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/18)) (*.f64 -1/9 (*.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1/18) (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1/18))) (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2))) 5/27) (cbrt.f64 (/.f64 1 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))) (fma.f64 (cbrt.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) -4/81 (/.f64 2/27 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))))))))))))) (pow.f64 x 3) 1))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2))) 5/27) (fma.f64 2/27 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2))) (fma.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4) 1/18) (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4) 1/18)) (neg.f64 (fma.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 1/18) (pow.f64 (/.f64 1 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 1/18)) (*.f64 (fma.f64 -4/9 (*.f64 (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) 1/18) (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) 1/18)) (*.f64 2 (fma.f64 (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) 1/18) (*.f64 2/9 (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) 1/18)) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/18)) -1/9)))) (*.f64 1/2 (cbrt.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))))) (fma.f64 (fma.f64 -4/9 (*.f64 (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) 1/18) (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) 1/18)) (*.f64 2 (fma.f64 (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) 1/18) (*.f64 2/9 (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) 1/18)) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/18)) -1/9)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2)) 1/18) (*.f64 -1/6 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2)) 1/18))) (*.f64 1/6 (+.f64 (neg.f64 (pow.f64 (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4) 1/18) 6)) (*.f64 (cbrt.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (fma.f64 4 (*.f64 (fma.f64 (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) 1/18) (*.f64 2/9 (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) 1/18)) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/18)) -1/9)) (*.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1/18) (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1/18))) (fma.f64 (cbrt.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) -16/27 (*.f64 6 (fma.f64 -2/3 (fma.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/18)) (*.f64 -1/9 (*.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1/18) (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1/18))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2))) (*.f64 (cbrt.f64 (/.f64 1 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) 5/27))) (fma.f64 (cbrt.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) -4/81 (/.f64 2/27 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))))))))))))) (fma.f64 1/2 (fma.f64 (cbrt.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (fma.f64 -4/9 (*.f64 (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) 1/18) (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) 1/18)) (*.f64 2 (fma.f64 (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) 1/18) (*.f64 2/9 (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) 1/18)) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4)) 1/18)) -1/9)))) (pow.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4) 1/18) (neg.f64 (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4) 1/18))) 2)) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 1/18) (pow.f64 (/.f64 1 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 1/18)))))) (fma.f64 x (*.f64 (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4) 1/18) (neg.f64 (pow.f64 (pow.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 4) 1/18))) 1)))
1
1

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
3.6b
(fmod.f64 (exp.f64 x) 1)
0.0b
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
✓0.0b
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
3.6b
(fmod.f64 (exp.f64 x) 1)
Compiler

Compiled 20 to 12 computations (40% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
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))

rewrite36.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0712
113812
2168712
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))))))))

simplify56.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
572×unswap-sqr_binary64
436×fabs-mul_binary64
369×times-frac_binary64
323×fma-def_binary64
306×*-commutative_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
09190
118181
233154
348145
465136
5129136
6243136
7350136
8447136
9533136
10557136
11632136
12852136
131632136
144306136
156175136
167479136
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))

localize89.0ms (0.8%)

Local error

Found 6 expressions with local error:

NewErrorProgram
3.6b
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))
0.0b
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))) (+.f64 x 1))
0.0b
(*.f64 (-.f64 1 (*.f64 x x)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)))
✓0.0b
(*.f64 (-.f64 1 (*.f64 x x)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)))
✓0.0b
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))) (+.f64 x 1))
3.6b
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))
Compiler

Compiled 69 to 39 computations (43.5% saved)

series4.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite62.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
690×log-prod_binary64
360×pow2_binary64
314×prod-diff_binary64
274×fma-def_binary64
250×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01350
128041
2380041
Stop Event
1×node limit
Counts
2 → 87
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))) (+.f64 x 1))
(*.f64 (-.f64 1 (*.f64 x x)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1 x) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (-.f64 1 x) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (-.f64 1 x) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (-.f64 1 x) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (-.f64 1 x) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 x) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (/.f64 (+.f64 1 x) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)))) (/.f64 (*.f64 x x) (/.f64 (+.f64 1 x) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (-.f64 1 x) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (/.f64 (+.f64 1 x) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 x x)) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (*.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (*.f64 x x)) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))) (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 x) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (*.f64 x x)) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))) 2)) (*.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)))) (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)))) 2) (cbrt.f64 (*.f64 (-.f64 1 x) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)))) (*.f64 (sqrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)))) (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (-.f64 1 x) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)))) (sqrt.f64 (*.f64 (-.f64 1 x) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (*.f64 x x)) (neg.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)))) (/.f64 1 (fma.f64 -1 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 x) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 x)) (*.f64 (-.f64 1 (*.f64 x x)) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (*.f64 x x)) 1) (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) 1) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (*.f64 x x)) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))) 2)) 1) (/.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)))) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)))) 1) (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)))) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))) (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (*.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (-.f64 1 (*.f64 x x)) (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (*.f64 x x)) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))) 2)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (*.f64 (-.f64 1 x) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)))) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (sqrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)))) (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 x))) (/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))) (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (*.f64 x x)) (hypot.f64 1 (sqrt.f64 x))) (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (hypot.f64 1 (sqrt.f64 x))) (/.f64 (-.f64 1 (*.f64 x x)) (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (*.f64 x x)) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))) 2)) (hypot.f64 1 (sqrt.f64 x))) (/.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)))) (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))) (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))) (fma.f64 x x -1)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 1 x) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 x) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 x) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 x) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 (-.f64 1 x) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 (-.f64 1 (*.f64 x x)) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))) 3) (pow.f64 (+.f64 1 x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 (*.f64 (-.f64 1 x) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 x x)) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))) (fma.f64 -1 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 x) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (-.f64 1 x) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 x) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 x) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (-.f64 1 (*.f64 x x)) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))) 3) (pow.f64 (+.f64 1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 x) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 x) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1 x) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 x) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (*.f64 (*.f64 x (neg.f64 x)) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1 (*.f64 x x)) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 (*.f64 x x))) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 (*.f64 x x))) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 (*.f64 x x))) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 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1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 1 (*.f64 x x)) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 1 (*.f64 x x)) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3) (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) 3) (pow.f64 (-.f64 1 (*.f64 x x)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 1 (*.f64 x x)) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1 (*.f64 x x))) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 1 (*.f64 x x)) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 1 (*.f64 x x)) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3) (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) 3) (pow.f64 (-.f64 1 (*.f64 x x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 1 (*.f64 x x)) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 1 (*.f64 x x)) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 1 (*.f64 x x)) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 1 (*.f64 x x)) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (*.f64 (*.f64 x (neg.f64 x)) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) 1 (*.f64 (*.f64 x (neg.f64 x)) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) 1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))) (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))) 2) (*.f64 (*.f64 x (neg.f64 x)) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))) (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))) 2) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))) 2) (cbrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))) (*.f64 (*.f64 x (neg.f64 x)) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))) 2) (cbrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))) (sqrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))) (*.f64 (*.f64 x (neg.f64 x)) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))) (sqrt.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1)) (*.f64 x (neg.f64 x))))))))

simplify59.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
798×fma-def_binary64
502×fma-neg_binary64
452×distribute-rgt-neg-in_binary64
424×times-frac_binary64
352×associate-*l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
017716
138689
278509
3163482
4442473
51443473
63143473
74632473
87179473
Stop Event
1×node limit
Counts
111 → 97
Calls
Call 1
Inputs
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)))
(*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) x))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)))
(*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) x))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1))
(+.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) (pow.f64 x 2))))
(+.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) (pow.f64 x 2))))
(+.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) (pow.f64 x 2))))
(*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) (pow.f64 x 2)))
(+.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) (pow.f64 x 2))))
(+.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) (pow.f64 x 2))))
(+.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) (pow.f64 x 2))))
(*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) (pow.f64 x 2)))
(+.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) (pow.f64 x 2))))
(+.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) (pow.f64 x 2))))
(+.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) (pow.f64 x 2))))
Outputs
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 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 x (*.f64 -1/4 x) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)))
(fma.f64 -1 (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)))
(-.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))))
(*.f64 (+.f64 (neg.f64 x) 1) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (fma.f64 x -1 1))
(*.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 x (*.f64 -1/4 x) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)))
(fma.f64 -1 (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)))
(-.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))))
(*.f64 (+.f64 (neg.f64 x) 1) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (fma.f64 x -1 1))
(*.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 x (*.f64 -1/4 x) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)))
(fma.f64 -1 (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)))
(-.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))))
(*.f64 (+.f64 (neg.f64 x) 1) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (fma.f64 x -1 1))
(*.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 x (*.f64 -1/4 x) 1)) x))
(neg.f64 (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 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 x (*.f64 -1/4 x) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)))
(fma.f64 -1 (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)))
(-.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))))
(*.f64 (+.f64 (neg.f64 x) 1) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (fma.f64 x -1 1))
(*.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 x (*.f64 -1/4 x) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)))
(fma.f64 -1 (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)))
(-.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))))
(*.f64 (+.f64 (neg.f64 x) 1) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (fma.f64 x -1 1))
(*.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 x (*.f64 -1/4 x) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)))
(fma.f64 -1 (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)))
(-.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))))
(*.f64 (+.f64 (neg.f64 x) 1) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (fma.f64 x -1 1))
(*.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 x (*.f64 -1/4 x) 1)) x))
(neg.f64 (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 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 x (*.f64 -1/4 x) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)))
(fma.f64 -1 (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)))
(-.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))))
(*.f64 (+.f64 (neg.f64 x) 1) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (fma.f64 x -1 1))
(*.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 x (*.f64 -1/4 x) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)))
(fma.f64 -1 (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)))
(-.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))))
(*.f64 (+.f64 (neg.f64 x) 1) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (fma.f64 x -1 1))
(*.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 x (*.f64 -1/4 x) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)))
(fma.f64 -1 (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)))
(-.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))))
(*.f64 (+.f64 (neg.f64 x) 1) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (fma.f64 x -1 1))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (-.f64 1 x))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))
(+.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) (pow.f64 x 2))))
(+.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (neg.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (*.f64 x x))))
(-.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (*.f64 x x)))
(*.f64 (+.f64 (*.f64 x (neg.f64 x)) 1) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (fma.f64 x (neg.f64 x) 1))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (-.f64 1 (*.f64 x x)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (neg.f64 (fma.f64 x x -1)))
(+.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) (pow.f64 x 2))))
(+.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (neg.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (*.f64 x x))))
(-.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (*.f64 x x)))
(*.f64 (+.f64 (*.f64 x (neg.f64 x)) 1) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (fma.f64 x (neg.f64 x) 1))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (-.f64 1 (*.f64 x x)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (neg.f64 (fma.f64 x x -1)))
(+.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) (pow.f64 x 2))))
(+.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (neg.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (*.f64 x x))))
(-.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (*.f64 x x)))
(*.f64 (+.f64 (*.f64 x (neg.f64 x)) 1) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (fma.f64 x (neg.f64 x) 1))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (-.f64 1 (*.f64 x x)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (neg.f64 (fma.f64 x x -1)))
(*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) (pow.f64 x 2)))
(neg.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (*.f64 x x)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (neg.f64 (*.f64 x x)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (*.f64 x (neg.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) (pow.f64 x 2))))
(+.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (neg.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (*.f64 x x))))
(-.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (*.f64 x x)))
(*.f64 (+.f64 (*.f64 x (neg.f64 x)) 1) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (fma.f64 x (neg.f64 x) 1))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (-.f64 1 (*.f64 x x)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (neg.f64 (fma.f64 x x -1)))
(+.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) (pow.f64 x 2))))
(+.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (neg.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (*.f64 x x))))
(-.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (*.f64 x x)))
(*.f64 (+.f64 (*.f64 x (neg.f64 x)) 1) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (fma.f64 x (neg.f64 x) 1))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (-.f64 1 (*.f64 x x)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (neg.f64 (fma.f64 x x -1)))
(+.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) (pow.f64 x 2))))
(+.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (neg.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (*.f64 x x))))
(-.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (*.f64 x x)))
(*.f64 (+.f64 (*.f64 x (neg.f64 x)) 1) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (fma.f64 x (neg.f64 x) 1))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (-.f64 1 (*.f64 x x)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (neg.f64 (fma.f64 x x -1)))
(*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) (pow.f64 x 2)))
(neg.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (*.f64 x x)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (neg.f64 (*.f64 x x)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (*.f64 x (neg.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) (pow.f64 x 2))))
(+.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (neg.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (*.f64 x x))))
(-.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (*.f64 x x)))
(*.f64 (+.f64 (*.f64 x (neg.f64 x)) 1) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (fma.f64 x (neg.f64 x) 1))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (-.f64 1 (*.f64 x x)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (neg.f64 (fma.f64 x x -1)))
(+.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) (pow.f64 x 2))))
(+.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (neg.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (*.f64 x x))))
(-.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (*.f64 x x)))
(*.f64 (+.f64 (*.f64 x (neg.f64 x)) 1) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (fma.f64 x (neg.f64 x) 1))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (-.f64 1 (*.f64 x x)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (neg.f64 (fma.f64 x x -1)))
(+.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) (pow.f64 x 2))))
(+.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (neg.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (*.f64 x x))))
(-.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (*.f64 x x)))
(*.f64 (+.f64 (*.f64 x (neg.f64 x)) 1) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (fma.f64 x (neg.f64 x) 1))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (-.f64 1 (*.f64 x x)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (neg.f64 (fma.f64 x x -1)))

localize33.0ms (0.3%)

Local error

Found 6 expressions with local error:

NewErrorProgram
3.6b
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))
1.9b
(-.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x))) 1)
0.7b
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x))
✓0.7b
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x))
✓1.9b
(-.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x))) 1)
3.6b
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))
Compiler

Compiled 66 to 39 computations (40.9% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite73.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
496×log-prod_binary64
455×prod-diff_binary64
401×fma-def_binary64
281×pow2_binary64
280×pow-prod-down_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01148
123836
2314536
Stop Event
1×node limit
Counts
2 → 187
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x))) 1)
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x))
Outputs
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simplify57.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
684×distribute-rgt-in_binary64
682×unsub-neg_binary64
643×fma-neg_binary64
586×distribute-lft-in_binary64
287×associate--r+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
035726
1101674
2328566
31788508
47631508
Stop Event
1×node limit
Counts
211 → 114
Calls
Call 1
Inputs
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1))) (*.f64 1/2 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)))) (pow.f64 x 2))) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1))) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1))) (*.f64 1/2 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1))))) (*.f64 -1/2 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1))) (*.f64 1/2 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)))) (pow.f64 x 2))) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)))))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) (exp.f64 x))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1))) (*.f64 1/2 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)))) (pow.f64 x 2))) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1))) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1))) (*.f64 1/2 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1))))) (*.f64 -1/2 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1))) (*.f64 1/2 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)))) (pow.f64 x 2))) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)))))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) (exp.f64 x))
Outputs
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 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 x (*.f64 -1/4 x) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)))
(fma.f64 -1 (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)))
(-.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))))
(*.f64 (+.f64 (neg.f64 x) 1) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (-.f64 1 x))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1))) (*.f64 1/2 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)))) (pow.f64 x 2))) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1))))
(fma.f64 -1 (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))) (fma.f64 -1 (*.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) -1/2) (*.f64 x x)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))))
(-.f64 (fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) 1/2) (*.f64 x x) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))) (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))))
(-.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (+.f64 x (*.f64 x (*.f64 x -1/2)))))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (-.f64 1 (+.f64 x (*.f64 x (*.f64 x -1/2)))))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (+.f64 (-.f64 1 x) (*.f64 1/2 (*.f64 x x))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1))) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1))) (*.f64 1/2 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1))))) (*.f64 -1/2 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1))) (*.f64 1/2 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)))) (pow.f64 x 2))) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)))))
(fma.f64 -1 (*.f64 (fma.f64 1/6 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (fma.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) -1/2) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) -1/2))) (pow.f64 x 3)) (fma.f64 -1 (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))) (fma.f64 -1 (*.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) -1/2) (*.f64 x x)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)))))
(-.f64 (-.f64 (fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) 1/2) (*.f64 x x) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))) (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)))) (*.f64 (fma.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) 1/6 (*.f64 0 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) -1/2))) (pow.f64 x 3)))
(-.f64 (-.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (+.f64 x (*.f64 x (*.f64 x -1/2))))) (*.f64 (fma.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) 1/6 0) (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) -1/6) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (-.f64 1 (+.f64 x (*.f64 x (*.f64 x -1/2))))))
(fma.f64 (pow.f64 x 3) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) -1/6) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (+.f64 (-.f64 1 x) (*.f64 1/2 (*.f64 x x)))))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x))
(fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 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 x (*.f64 -1/4 x) 1)) x)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)))
(fma.f64 -1 (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)))
(-.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))))
(*.f64 (+.f64 (neg.f64 x) 1) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (-.f64 1 x))
(+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1))) (*.f64 1/2 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)))) (pow.f64 x 2))) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1))))
(fma.f64 -1 (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))) (fma.f64 -1 (*.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) -1/2) (*.f64 x x)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))))
(-.f64 (fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) 1/2) (*.f64 x x) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))) (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))))
(-.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (+.f64 x (*.f64 x (*.f64 x -1/2)))))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (-.f64 1 (+.f64 x (*.f64 x (*.f64 x -1/2)))))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (+.f64 (-.f64 1 x) (*.f64 1/2 (*.f64 x x))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/6 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1))) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1))) (*.f64 1/2 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1))))) (*.f64 -1/2 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1))) (*.f64 1/2 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)))) (pow.f64 x 2))) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)))))
(fma.f64 -1 (*.f64 (fma.f64 1/6 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (fma.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) -1/2) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) -1/2))) (pow.f64 x 3)) (fma.f64 -1 (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))) (fma.f64 -1 (*.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) -1/2) (*.f64 x x)) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)))))
(-.f64 (-.f64 (fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) 1/2) (*.f64 x x) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))) (*.f64 x (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)))) (*.f64 (fma.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) 1/6 (*.f64 0 (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) -1/2))) (pow.f64 x 3)))
(-.f64 (-.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (+.f64 x (*.f64 x (*.f64 x -1/2))))) (*.f64 (fma.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) 1/6 0) (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) -1/6) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (-.f64 1 (+.f64 x (*.f64 x (*.f64 x -1/2))))))
(fma.f64 (pow.f64 x 3) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) -1/6) (*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (+.f64 (-.f64 1 x) (*.f64 1/2 (*.f64 x x)))))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 -1/4 x) 1)) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x))

localize14.0ms (0.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
3.6b
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
1.9b
(log.f64 (exp.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))
0.7b
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
0.0b
(sqrt.f64 (cos.f64 x))
0.0b
(sqrt.f64 (cos.f64 x))
0.7b
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
✓1.9b
(log.f64 (exp.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))
3.6b
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
Compiler

Compiled 45 to 8 computations (82.2% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite44.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
764×pow1_binary64
703×add-log-exp_binary64
703×log1p-expm1-u_binary64
703×expm1-log1p-u_binary64
684×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0915
116215
2193015
Stop Event
1×node limit
Counts
1 → 44
Calls
Call 1
Inputs
(log.f64 (exp.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.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 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (*.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) (sqrt.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 1 (neg.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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 /.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 2) (/.f64 (exp.f64 x) (cbrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 (exp.f64 x) (sqrt.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (neg.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (neg.f64 (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 (/.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 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))))))

simplify54.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
753×unsub-neg_binary64
637×distribute-rgt-in_binary64
605×fma-neg_binary64
551×distribute-lft-in_binary64
323×associate--r+_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
032293
193277
2320241
31801219
47537215
Stop Event
1×node limit
Counts
56 → 51
Calls
Call 1
Inputs
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (pow.f64 x 2))) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (+.f64 (*.f64 -1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 1/6 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (pow.f64 x 2))) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
Outputs
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))
(-.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 (+.f64 (neg.f64 x) 1) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (pow.f64 x 2))) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x))))
(fma.f64 -1 (*.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1/2) (*.f64 x x)) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)))
(fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2) (*.f64 x x) (-.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2) (*.f64 x x) (*.f64 (+.f64 (neg.f64 x) 1) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (+.f64 1 (neg.f64 x)) (*.f64 x (*.f64 x -1/2))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (-.f64 1 x) (*.f64 1/2 (*.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)))))
(fma.f64 -1 (*.f64 (fma.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1/2) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1/3)) (pow.f64 x 3)) (fma.f64 -1 (*.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1/2) (*.f64 x x)) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))))
(fma.f64 (neg.f64 (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1/3 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2))) (pow.f64 x 3) (fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2) (*.f64 x x) (-.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))
(fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2) (*.f64 x x) (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 (*.f64 1/6 (pow.f64 x 3)))) (*.f64 x (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 -1 (*.f64 x 1/2)))))
(fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1/2) (*.f64 x x) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (-.f64 1 x) (*.f64 1/6 (pow.f64 x 3)))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))

eval225.0ms (1.9%)

Compiler

Compiled 16375 to 7206 computations (56% saved)

prune96.0ms (0.8%)

Pruning

25 alts after pruning (15 fresh and 10 done)

PrunedKeptTotal
New6116617
Fresh3912
Picked011
Done3912
Total61725642
Error
23.2b
Counts
642 → 25
Alt Table
Click to see full alt table
StatusErrorProgram
61.1b
(-.f64 (+.f64 1 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))) 1)
60.5b
(exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))) x))
✓60.5b
(-.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x))) 1)
✓25.7b
(exp.f64 (neg.f64 x))
✓61.0b
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (-.f64 1 x))
✓60.3b
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
60.5b
(/.f64 1 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))))
✓60.3b
(exp.f64 (log1p.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))))
60.3b
(exp.f64 (-.f64 (log.f64 (pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 3) 1/3)) x))
✓60.2b
(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)))
36.0b
1
60.8b
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (+.f64 (-.f64 1 x) (*.f64 1/2 (*.f64 x x))))
60.2b
(exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 3))
✓61.1b
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
✓60.7b
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x 1/6)))))
60.7b
(*.f64 (fmod.f64 (exp.f64 x) (-.f64 (+.f64 1 (sqrt.f64 (cos.f64 x))) 1)) (-.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x 1/6)))))
61.0b
(/.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (*.f64 x x)) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))))) 1) (+.f64 x 1))
✓61.2b
(fmod.f64 (exp.f64 x) 1)
60.5b
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x))
60.3b
(exp.f64 (-.f64 (pow.f64 (cbrt.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 3) x))
✓60.3b
(log.f64 (exp.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))
61.0b
(-.f64 (+.f64 1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))) 1)
60.2b
(exp.f64 (*.f64 (*.f64 3 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 1/3))
60.7b
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (-.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x 1/6)))))
61.0b
(*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 (*.f64 1/2 (*.f64 x x)) (-.f64 1 x)))
Compiler

Compiled 368 to 264 computations (28.3% saved)

regimes33.0ms (0.3%)

Accuracy

Total -37.5b remaining (-154%)

Threshold costs -37.5b (-154%)

Counts
25 → 2
Calls
Call 1
Inputs
1
(exp.f64 (neg.f64 x))
(fmod.f64 (exp.f64 x) 1)
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
(-.f64 (+.f64 1 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))) 1)
(*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 (*.f64 1/2 (*.f64 x x)) (-.f64 1 x)))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (-.f64 1 x))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (+.f64 (-.f64 1 x) (*.f64 1/2 (*.f64 x x))))
(*.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (-.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x 1/6)))))
(/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x))
(-.f64 (+.f64 1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))) 1)
(/.f64 1 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))))
(-.f64 (+.f64 1 (/.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1)) (exp.f64 x))) 1)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x 1/6)))))
(*.f64 (fmod.f64 (exp.f64 x) (-.f64 (+.f64 1 (sqrt.f64 (cos.f64 x))) 1)) (-.f64 (-.f64 1 x) (*.f64 (*.f64 x x) (+.f64 -1/2 (*.f64 x 1/6)))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(exp.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (fma.f64 x (*.f64 x -1/4) 1))) x))
(/.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 1 (*.f64 x x)) (fmod.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -1/4 1))))) 1) (+.f64 x 1))
(exp.f64 (*.f64 (*.f64 3 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 1/3))
(log.f64 (exp.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))))
(exp.f64 (log1p.f64 (expm1.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x))))
(exp.f64 (-.f64 (pow.f64 (cbrt.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 3) x))
(exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) x)) 3))
(exp.f64 (-.f64 (log.f64 (pow.f64 (pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 3) 1/3)) 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)))
Outputs
1
(exp.f64 (neg.f64 x))
Calls

1 calls:

25.0ms
x
Results
ErrorSegmentsBranch
24.4b2x
Compiler

Compiled 346 to 176 computations (49.1% saved)

bsearch75.0ms (0.6%)

Algorithm
1×binary-search
Steps
TimeLeftRight
74.0ms
1.1815051286954552e-120
2.6001525282898476e-118
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify2.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0913
11413
21613
31713
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x 1717527360979443/1453677448591213781098647615776009068707282721374636120562980398361278576226795846652382101427527131121525043212532355867069203257229312) 1 (exp.f64 (neg.f64 x)))
1
Outputs
(if (<=.f64 x 1717527360979443/1453677448591213781098647615776009068707282721374636120562980398361278576226795846652382101427527131121525043212532355867069203257229312) 1 (exp.f64 (neg.f64 x)))
1

end17.0ms (0.1%)

Stop Event
1×fuel
Compiler

Compiled 21 to 17 computations (19% saved)

Profiling

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