Details

Time bar (total: 22.0s)

analyze3.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50%50%0%0%0%0
0%0%50%50%0%0%0%1
0%0%50%50%0%0%0%2
75%37.5%12.5%50%0%0%0%3
87.5%43.7%6.2%50%0%0%0%4
93.8%46.8%3.1%50%0%0%0%5
96.9%48.4%1.6%50%0%0%0%6
98.4%49.2%0.8%50%0%0%0%7
99.2%49.6%0.4%50%0%0%0%8
99.6%49.8%0.2%50%0%0%0%9
99.8%49.9%0.1%50%0%0%0%10
99.9%49.9%0%50%0%0%0%11
100%49.9%0%50%0%0%0%12
Compiler

Compiled 15 to 10 computations (33.3% saved)

sample17.3s (78.9%)

Results
14.6s4396×body2048valid
2.0s2096×body1024valid
429.0ms952×body512valid
247.0ms812×body256valid
Bogosity

preprocess82.0ms (0.4%)

Algorithm
2×egg-herbie
Rules
577×fma-def_binary64
278×fma-neg_binary64
236×times-frac_binary64
190×associate-/r*_binary64
175×div-sub_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0611
11111
21811
32911
45611
58611
615011
723911
840311
974011
10167411
11287011
12351711
13358011
14361811
15362811
011
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Outputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify79.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
577×fma-def_binary64
278×fma-neg_binary64
236×times-frac_binary64
190×associate-/r*_binary64
175×div-sub_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0611
11111
21811
32911
45611
58611
615011
723911
840311
974011
10167411
11287011
12351711
13358011
14361811
15362811
Stop Event
1×saturated
Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Outputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

eval0.0ms (0%)

Compiler

Compiled 8 to 5 computations (37.5% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
28.0b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶28.0b
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Compiler

Compiled 8 to 5 computations (37.5% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
✓2.5b
(-.f64 x (sin.f64 x))
Compiler

Compiled 17 to 5 computations (70.6% saved)

series4.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
1.0ms
x
@inf
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
1.0ms
x
@0
(-.f64 x (sin.f64 x))
1.0ms
x
@0
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
0.0ms
x
@inf
(-.f64 x (sin.f64 x))

rewrite67.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
924×pow1_binary64
864×add-log-exp_binary64
864×log1p-expm1-u_binary64
864×expm1-log1p-u_binary64
845×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0617
114017
2219017
Stop Event
1×node limit
Counts
2 → 69
Calls
Call 1
Inputs
(-.f64 x (sin.f64 x))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (neg.f64 (sin.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sin.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2) (cbrt.f64 (-.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (sqrt.f64 (-.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))) (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (sin.f64 x)) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)) (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)) (+.f64 x (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2))) (neg.f64 (+.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (sin.f64 x)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))) (*.f64 x (neg.f64 (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x)))) (-.f64 x (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (sin.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sin.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (tan.f64 x)) (neg.f64 (/.f64 (sin.f64 x) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (sin.f64 x)) (/.f64 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 2) (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2) (*.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) (sqrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (*.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 x (sin.f64 x))) (/.f64 1 (neg.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (tan.f64 x)) (-.f64 x (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (-.f64 x (sin.f64 x)) (cbrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (tan.f64 x))) (/.f64 (-.f64 x (sin.f64 x)) (sqrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (cbrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2) (sqrt.f64 (tan.f64 x))) (/.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) (sqrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x (sin.f64 x)) (sin.f64 x)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 x (sin.f64 x)) (neg.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 x (sin.f64 x)) 3) (pow.f64 (tan.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))))))

simplify110.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
766×distribute-rgt-out_binary64
740×distribute-lft-out_binary64
663×fma-def_binary64
638×associate-*l*_binary64
493×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
052314
1132296
2302296
3872284
43807284
56577284
67472284
Stop Event
1×node limit
Counts
93 → 91
Calls
Call 1
Inputs
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/120 (pow.f64 x 5)))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5))))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/362880 (pow.f64 x 9)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5)))))
x
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 (*.f64 -1 (sin.f64 x)) x)
x
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
Outputs
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/120 (pow.f64 x 5)))
(fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5)))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5))))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/5040 (pow.f64 x 7))))
(fma.f64 -1/120 (pow.f64 x 5) (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/5040 (pow.f64 x 7))))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/362880 (pow.f64 x 9)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5)))))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5)))))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/5040 (pow.f64 x 7)))))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/120 (pow.f64 x 5) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/362880 (pow.f64 x 9)))))
(fma.f64 1/5040 (pow.f64 x 7) (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (*.f64 -1/120 (pow.f64 x 5)))))
x
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(fma.f64 -1 (sin.f64 x) x)
(-.f64 x (sin.f64 x))
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(fma.f64 -1 (sin.f64 x) x)
(-.f64 x (sin.f64 x))
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(fma.f64 -1 (sin.f64 x) x)
(-.f64 x (sin.f64 x))
x
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(fma.f64 -1 (sin.f64 x) x)
(-.f64 x (sin.f64 x))
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(fma.f64 -1 (sin.f64 x) x)
(-.f64 x (sin.f64 x))
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(fma.f64 -1 (sin.f64 x) x)
(-.f64 x (sin.f64 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -11/15120 (pow.f64 x 6)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -143/604800 (pow.f64 x 8)))))
(fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -143/604800 (pow.f64 x 8))))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x)
(*.f64 x (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 (cos.f64 x) (/.f64 x (sin.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x)) (neg.f64 (cos.f64 x)))
(-.f64 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x) (cos.f64 x))
(-.f64 (*.f64 x (/.f64 (cos.f64 x) (sin.f64 x))) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x)) (neg.f64 (cos.f64 x)))
(-.f64 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x) (cos.f64 x))
(-.f64 (*.f64 x (/.f64 (cos.f64 x) (sin.f64 x))) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x)) (neg.f64 (cos.f64 x)))
(-.f64 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x) (cos.f64 x))
(-.f64 (*.f64 x (/.f64 (cos.f64 x) (sin.f64 x))) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x)
(*.f64 x (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 (cos.f64 x) (/.f64 x (sin.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x)) (neg.f64 (cos.f64 x)))
(-.f64 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x) (cos.f64 x))
(-.f64 (*.f64 x (/.f64 (cos.f64 x) (sin.f64 x))) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x)) (neg.f64 (cos.f64 x)))
(-.f64 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x) (cos.f64 x))
(-.f64 (*.f64 x (/.f64 (cos.f64 x) (sin.f64 x))) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x)) (neg.f64 (cos.f64 x)))
(-.f64 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x) (cos.f64 x))
(-.f64 (*.f64 x (/.f64 (cos.f64 x) (sin.f64 x))) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))

eval31.0ms (0.1%)

Compiler

Compiled 1218 to 470 computations (61.4% saved)

prune21.0ms (0.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New82991
Fresh000
Picked011
Done000
Total821092
Error
0.2b
Counts
92 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
0.5b
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -11/15120 (pow.f64 x 6)))
▶12.1b
(/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))
28.0b
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 3)
▶0.7b
(*.f64 1/6 (*.f64 x x))
▶28.1b
(/.f64 (log.f64 (exp.f64 (-.f64 x (sin.f64 x)))) (tan.f64 x))
28.0b
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))
✓28.0b
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
▶12.0b
(/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))
▶0.5b
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
0.6b
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6))
Compiler

Compiled 220 to 157 computations (28.6% saved)

localize64.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))
✓0.0b
(*.f64 -11/15120 (pow.f64 x 6))
✓0.1b
(*.f64 -23/360 (pow.f64 x 4))
✓0.2b
(*.f64 1/6 (pow.f64 x 2))
Compiler

Compiled 60 to 48 computations (20% saved)

series8.0ms (0%)

Counts
4 → 3
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 -23/360 (pow.f64 x 4))
1.0ms
x
@0
(*.f64 1/6 (pow.f64 x 2))
1.0ms
x
@0
(*.f64 -11/15120 (pow.f64 x 6))
1.0ms
x
@inf
(+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))
1.0ms
x
@inf
(*.f64 1/6 (pow.f64 x 2))

rewrite119.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
575×log-prod_binary64
348×pow2_binary64
335×pow-prod-down_binary64
320×fma-def_binary64
239×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01535
132535
2361435
Stop Event
1×node limit
Counts
4 → 111
Calls
Call 1
Inputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 -23/360 (pow.f64 x 4))
(*.f64 -11/15120 (pow.f64 x 6))
(+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 1/6))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 1/6)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/6 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 4) 1/36) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (sqrt.f64 1/6)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 1/6)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/6 (*.f64 x x))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -23/360 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -23/360) (pow.f64 x 4))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -23/360) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -23/360) (pow.f64 x 4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -23/360) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -23/360 (pow.f64 x 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -23/360 (pow.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 8) 529/129600) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -23/360 (pow.f64 x 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) (sqrt.f64 -23/360)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 12) -12167/46656000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 8) 529/129600))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -23/360) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -23/360 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 12) -12167/46656000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -23/360 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -23/360 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 4 (log.f64 x) (log.f64 -23/360)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 4 (log.f64 x) (log.f64 -23/360)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -11/15120 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -11/15120) (pow.f64 x 6))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -11/15120) (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -11/15120) (pow.f64 x 6)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -11/15120) (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -11/15120 (pow.f64 x 6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -11/15120 (pow.f64 x 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 12) 121/228614400) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) (cbrt.f64 -11/15120)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 -11/15120)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1331/3456649728000 (pow.f64 x 18)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 12) 121/228614400))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -11/15120) (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -11/15120 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -1331/3456649728000 (pow.f64 x 18)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -11/15120 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -11/15120 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -11/15120 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -11/15120 (pow.f64 x 6))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 12) 121/228614400) (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 23/360 (pow.f64 x 4)))) (/.f64 (*.f64 (pow.f64 x 8) 529/129600) (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 23/360 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))) (pow.f64 (cbrt.f64 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))) 2) (cbrt.f64 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))) (sqrt.f64 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 12) -12167/46656000 (*.f64 -1331/3456649728000 (pow.f64 x 18))) (/.f64 1 (fma.f64 (*.f64 -23/360 (pow.f64 x 4)) (fma.f64 -23/360 (pow.f64 x 4) (neg.f64 (*.f64 -11/15120 (pow.f64 x 6)))) (*.f64 (pow.f64 x 12) 121/228614400))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 x 12) 121/228614400) (*.f64 (pow.f64 x 8) 529/129600)) (/.f64 1 (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 23/360 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 -23/360 (pow.f64 x 4)) (fma.f64 -23/360 (pow.f64 x 4) (neg.f64 (*.f64 -11/15120 (pow.f64 x 6)))) (*.f64 (pow.f64 x 12) 121/228614400)) (fma.f64 (pow.f64 x 12) -12167/46656000 (*.f64 -1331/3456649728000 (pow.f64 x 18)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 23/360 (pow.f64 x 4))) (-.f64 (*.f64 (pow.f64 x 12) 121/228614400) (*.f64 (pow.f64 x 8) 529/129600))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 12) -12167/46656000 (*.f64 -1331/3456649728000 (pow.f64 x 18))) (fma.f64 (*.f64 -23/360 (pow.f64 x 4)) (fma.f64 -23/360 (pow.f64 x 4) (neg.f64 (*.f64 -11/15120 (pow.f64 x 6)))) (*.f64 (pow.f64 x 12) 121/228614400)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 12) -12167/46656000 (*.f64 -1331/3456649728000 (pow.f64 x 18))) (fma.f64 (pow.f64 x 8) 529/129600 (-.f64 (*.f64 (pow.f64 x 12) 121/228614400) (*.f64 (*.f64 -23/360 (pow.f64 x 4)) (*.f64 -11/15120 (pow.f64 x 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 12) 121/228614400) (*.f64 (pow.f64 x 8) 529/129600)) (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 23/360 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 x 12) -12167/46656000 (*.f64 -1331/3456649728000 (pow.f64 x 18)))) (neg.f64 (fma.f64 (*.f64 -23/360 (pow.f64 x 4)) (fma.f64 -23/360 (pow.f64 x 4) (neg.f64 (*.f64 -11/15120 (pow.f64 x 6)))) (*.f64 (pow.f64 x 12) 121/228614400))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 12) 121/228614400) (*.f64 (pow.f64 x 8) 529/129600))) (neg.f64 (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 23/360 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 8) 529/129600) (*.f64 (pow.f64 x 12) 121/228614400)) (fma.f64 -23/360 (pow.f64 x 4) (neg.f64 (*.f64 -11/15120 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 -23/360 (pow.f64 x 4)) (fma.f64 -23/360 (pow.f64 x 4) (neg.f64 (*.f64 -11/15120 (pow.f64 x 6)))) (*.f64 (pow.f64 x 12) 121/228614400)) (fma.f64 (pow.f64 x 12) -12167/46656000 (*.f64 -1331/3456649728000 (pow.f64 x 18)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 23/360 (pow.f64 x 4))) (-.f64 (*.f64 (pow.f64 x 12) 121/228614400) (*.f64 (pow.f64 x 8) 529/129600))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -23/360 (pow.f64 x 4)))) (pow.f64 (exp.f64 -11/15120) (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 -23/360) (pow.f64 x 4)) (+.f64 1 (expm1.f64 (*.f64 -11/15120 (pow.f64 x 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -23/360 (pow.f64 x 4)))) (+.f64 1 (expm1.f64 (*.f64 -11/15120 (pow.f64 x 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -11/15120 (pow.f64 x 6)))) (pow.f64 (exp.f64 -23/360) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 -11/15120) (pow.f64 x 6)) (+.f64 1 (expm1.f64 (*.f64 -23/360 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -11/15120 (pow.f64 x 6)))) (+.f64 1 (expm1.f64 (*.f64 -23/360 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) -23/360) (*.f64 -11/15120 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 4) -23/360 (*.f64 -11/15120 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 4) (*.f64 (*.f64 x x) -11/15120) (*.f64 -23/360 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -23/360 (pow.f64 x 4)) 1 (*.f64 -11/15120 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -11/15120 (pow.f64 x 6) (*.f64 -23/360 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 6) -11/15120 (*.f64 -23/360 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -11/15120 (pow.f64 x 6)) 1 (*.f64 -23/360 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -23/360 (pow.f64 x 4)) (*.f64 -11/15120 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) (*.f64 (pow.f64 x 3) -11/15120) (*.f64 -23/360 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 8) (*.f64 (*.f64 (cbrt.f64 x) x) -23/360) (*.f64 -11/15120 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x x) (cbrt.f64 -11/15120)) (cbrt.f64 (*.f64 (pow.f64 x 12) 121/228614400)) (*.f64 -23/360 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 12) 121/228614400)) (*.f64 (*.f64 x x) (cbrt.f64 -11/15120)) (*.f64 -23/360 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 -23/360 (pow.f64 x 4))) (cbrt.f64 (*.f64 (pow.f64 x 8) 529/129600)) (*.f64 -11/15120 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 529/129600)) (cbrt.f64 (*.f64 -23/360 (pow.f64 x 4))) (*.f64 -11/15120 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 -11/15120)) (*.f64 (pow.f64 x 3) (sqrt.f64 -11/15120)) (*.f64 -23/360 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 -23/360)) (*.f64 (*.f64 x x) (sqrt.f64 -23/360)) (*.f64 -11/15120 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -11/15120 (pow.f64 x 4)) (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -11/15120 (pow.f64 x 3)) (pow.f64 x 3) (*.f64 -23/360 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -23/360 (*.f64 x x)) (*.f64 x x) (*.f64 -11/15120 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -23/360 (pow.f64 (cbrt.f64 x) 8)) (*.f64 (cbrt.f64 x) x) (*.f64 -11/15120 (pow.f64 x 6)))))))

simplify130.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
811×sqr-pow_binary64
687×cube-prod_binary64
603×fabs-mul_binary64
492×associate-*l*_binary64
467×unswap-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01021
12021
24221
310621
435021
5158121
6262721
7278421
8304821
9331221
10365821
11411521
12463921
13528021
14604621
15648921
16699321
17750721
Stop Event
1×node limit
Counts
114 → 113
Calls
Call 1
Inputs
(*.f64 -23/360 (pow.f64 x 4))
(*.f64 -11/15120 (pow.f64 x 6))
(*.f64 -11/15120 (pow.f64 x 6))
Outputs
(*.f64 -23/360 (pow.f64 x 4))
(*.f64 -11/15120 (pow.f64 x 6))
(*.f64 -11/15120 (pow.f64 x 6))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 1/6 (*.f64 x x))
Compiler

Compiled 11 to 5 computations (54.5% saved)

series4.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(*.f64 1/6 (*.f64 x x))
0.0ms
x
@0
(*.f64 1/6 (*.f64 x x))
0.0ms
x
@-inf
(*.f64 1/6 (*.f64 x x))

rewrite60.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
432×pow1_binary64
421×add-sqr-sqrt_binary64
411×*-un-lft-identity_binary64
402×add-log-exp_binary64
402×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11027
211487
Stop Event
1×node limit
Counts
1 → 14
Calls
Call 1
Inputs
(*.f64 1/6 (*.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x))) (cbrt.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))))))

simplify177.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1082×sqr-pow_binary64
617×cube-prod_binary64
554×fabs-mul_binary64
523×pow-sqr_binary64
441×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0684
11284
22384
34484
410584
533184
6125084
7212384
8228784
9247184
10267984
11297684
12337184
13385284
14441884
15510284
16593584
17632784
18661984
19689584
20696984
21700384
22794484
Stop Event
1×node limit
Counts
26 → 16
Calls
Call 1
Inputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
Outputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(pow.f64 x 3)
✓0.1b
(*.f64 1/6 (pow.f64 x 3))
✓11.6b
(/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))
Compiler

Compiled 22 to 15 computations (31.8% saved)

series9.0ms (0%)

Counts
3 → 12
Calls

9 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(pow.f64 x 3)
2.0ms
x
@inf
(/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))
1.0ms
x
@-inf
(/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))
1.0ms
x
@0
(/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))
1.0ms
x
@inf
(pow.f64 x 3)

rewrite103.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
879×pow1_binary64
827×add-log-exp_binary64
827×log1p-expm1-u_binary64
827×expm1-log1p-u_binary64
810×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0823
117923
2220023
Stop Event
1×node limit
Counts
3 → 72
Calls
Call 1
Inputs
(/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))
(*.f64 1/6 (pow.f64 x 3))
(pow.f64 x 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (/.f64 1 (/.f64 (tan.f64 x) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (*.f64 (pow.f64 x 3) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) (*.f64 1/6 (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/6 (pow.f64 x 3)) (/.f64 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (cbrt.f64 1/6)) (cbrt.f64 (tan.f64 x))) (pow.f64 (/.f64 (*.f64 x (cbrt.f64 1/6)) (cbrt.f64 (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (*.f64 x (cbrt.f64 1/6)) (cbrt.f64 (tan.f64 x))) 2) (/.f64 (*.f64 x (cbrt.f64 1/6)) (cbrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (cbrt.f64 1/6)) 2) (*.f64 (*.f64 x (cbrt.f64 1/6)) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x)))) (sqrt.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/6) (pow.f64 x 3/2)) (*.f64 (*.f64 (sqrt.f64 1/6) (pow.f64 x 3/2)) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 3) -1/6) (/.f64 1 (neg.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (tan.f64 x)) (*.f64 1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 3) 1) (/.f64 1/6 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/6 (tan.f64 x)) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (*.f64 x (cbrt.f64 1/6)) 2) 1) (/.f64 (*.f64 x (cbrt.f64 1/6)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sqrt.f64 1/6) (pow.f64 x 3/2)) 1) (/.f64 (*.f64 (sqrt.f64 1/6) (pow.f64 x 3/2)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/6 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (pow.f64 x 3) (cbrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 1/6 (cbrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (*.f64 1/6 (pow.f64 x 3)) (cbrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (*.f64 x (cbrt.f64 1/6)) 2) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (*.f64 x (cbrt.f64 1/6)) (cbrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sqrt.f64 1/6) (pow.f64 x 3/2)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (*.f64 (sqrt.f64 1/6) (pow.f64 x 3/2)) (cbrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/6 (sqrt.f64 (tan.f64 x))) (/.f64 (pow.f64 x 3) (sqrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 3) (sqrt.f64 (tan.f64 x))) (/.f64 1/6 (sqrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (tan.f64 x))) (/.f64 (*.f64 1/6 (pow.f64 x 3)) (sqrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (*.f64 x (cbrt.f64 1/6)) 2) (sqrt.f64 (tan.f64 x))) (/.f64 (*.f64 x (cbrt.f64 1/6)) (sqrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/6 (pow.f64 x 3)) (sin.f64 x)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x (cbrt.f64 1/6)) (cbrt.f64 (tan.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 6 (/.f64 (tan.f64 x) (pow.f64 x 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 1/6 (pow.f64 x 3)) 3) (pow.f64 (tan.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/6 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/6 (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/6) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/6 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/6 (pow.f64 x 3))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3/2) (pow.f64 x 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 3) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) 3) (pow.f64 (sqrt.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 x)))))))

simplify41.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
747×unswap-sqr_binary64
724×distribute-lft-out_binary64
644×associate-*l*_binary64
584×distribute-rgt-out_binary64
540×associate-*r*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031206
175206
2193206
3669206
43687206
Stop Event
1×node limit
Counts
84 → 82
Calls
Call 1
Inputs
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2)))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -1/270 (pow.f64 x 6))))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -1/2835 (pow.f64 x 8)) (*.f64 -1/270 (pow.f64 x 6)))))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
Outputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 -1/18 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -1/18 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/18) 1/6)))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -1/270 (pow.f64 x 6))))
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) (*.f64 -1/270 (pow.f64 x 6))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -1/18 (pow.f64 x 4) (*.f64 -1/270 (pow.f64 x 6))))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -1/2835 (pow.f64 x 8)) (*.f64 -1/270 (pow.f64 x 6)))))
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) (fma.f64 -1/2835 (pow.f64 x 8) (*.f64 -1/270 (pow.f64 x 6)))))
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) (fma.f64 -1/270 (pow.f64 x 6) (*.f64 -1/2835 (pow.f64 x 8)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -1/18 (pow.f64 x 4) (fma.f64 -1/270 (pow.f64 x 6) (*.f64 -1/2835 (pow.f64 x 8)))))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(/.f64 1/6 (/.f64 (/.f64 (sin.f64 x) (pow.f64 x 3)) (cos.f64 x)))
(/.f64 (cos.f64 x) (/.f64 (/.f64 (sin.f64 x) (pow.f64 x 3)) 1/6))
(*.f64 (pow.f64 x 3) (*.f64 (/.f64 1/6 (sin.f64 x)) (cos.f64 x)))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(/.f64 1/6 (/.f64 (/.f64 (sin.f64 x) (pow.f64 x 3)) (cos.f64 x)))
(/.f64 (cos.f64 x) (/.f64 (/.f64 (sin.f64 x) (pow.f64 x 3)) 1/6))
(*.f64 (pow.f64 x 3) (*.f64 (/.f64 1/6 (sin.f64 x)) (cos.f64 x)))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(/.f64 1/6 (/.f64 (/.f64 (sin.f64 x) (pow.f64 x 3)) (cos.f64 x)))
(/.f64 (cos.f64 x) (/.f64 (/.f64 (sin.f64 x) (pow.f64 x 3)) 1/6))
(*.f64 (pow.f64 x 3) (*.f64 (/.f64 1/6 (sin.f64 x)) (cos.f64 x)))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(/.f64 1/6 (/.f64 (/.f64 (sin.f64 x) (pow.f64 x 3)) (cos.f64 x)))
(/.f64 (cos.f64 x) (/.f64 (/.f64 (sin.f64 x) (pow.f64 x 3)) 1/6))
(*.f64 (pow.f64 x 3) (*.f64 (/.f64 1/6 (sin.f64 x)) (cos.f64 x)))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(/.f64 1/6 (/.f64 (/.f64 (sin.f64 x) (pow.f64 x 3)) (cos.f64 x)))
(/.f64 (cos.f64 x) (/.f64 (/.f64 (sin.f64 x) (pow.f64 x 3)) 1/6))
(*.f64 (pow.f64 x 3) (*.f64 (/.f64 1/6 (sin.f64 x)) (cos.f64 x)))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(/.f64 1/6 (/.f64 (/.f64 (sin.f64 x) (pow.f64 x 3)) (cos.f64 x)))
(/.f64 (cos.f64 x) (/.f64 (/.f64 (sin.f64 x) (pow.f64 x 3)) 1/6))
(*.f64 (pow.f64 x 3) (*.f64 (/.f64 1/6 (sin.f64 x)) (cos.f64 x)))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(/.f64 1/6 (/.f64 (/.f64 (sin.f64 x) (pow.f64 x 3)) (cos.f64 x)))
(/.f64 (cos.f64 x) (/.f64 (/.f64 (sin.f64 x) (pow.f64 x 3)) 1/6))
(*.f64 (pow.f64 x 3) (*.f64 (/.f64 1/6 (sin.f64 x)) (cos.f64 x)))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(/.f64 1/6 (/.f64 (/.f64 (sin.f64 x) (pow.f64 x 3)) (cos.f64 x)))
(/.f64 (cos.f64 x) (/.f64 (/.f64 (sin.f64 x) (pow.f64 x 3)) 1/6))
(*.f64 (pow.f64 x 3) (*.f64 (/.f64 1/6 (sin.f64 x)) (cos.f64 x)))

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/120 (pow.f64 x 5)))
✓0.0b
(*.f64 -1/120 (pow.f64 x 5))
0.1b
(*.f64 1/6 (pow.f64 x 3))
✓11.6b
(/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))
Compiler

Compiled 49 to 37 computations (24.5% saved)

series11.0ms (0%)

Counts
3 → 15
Calls

9 calls:

TimeVariablePointExpression
4.0ms
x
@0
(*.f64 -1/120 (pow.f64 x 5))
1.0ms
x
@inf
(/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))
1.0ms
x
@inf
(*.f64 -1/120 (pow.f64 x 5))
1.0ms
x
@-inf
(*.f64 -1/120 (pow.f64 x 5))
1.0ms
x
@-inf
(/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))

rewrite116.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
624×log-prod_binary64
354×pow2_binary64
318×fma-def_binary64
244×expm1-udef_binary64
244×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01340
129540
2363340
Stop Event
1×node limit
Counts
3 → 119
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))
(*.f64 -1/120 (pow.f64 x 5))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/120 (pow.f64 x 5)))
Outputs
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((x pow.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 x 6) 1/36 (*.f64 (pow.f64 x 10) 1/14400)) (*.f64 1/6 (*.f64 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))))) (fma.f64 (pow.f64 x 9) 1/216 (*.f64 (pow.f64 x 15) -1/1728000))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/120 (pow.f64 x 5))) (fma.f64 (pow.f64 x 6) 1/36 (neg.f64 (*.f64 (pow.f64 x 10) 1/14400)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 (pow.f64 x 3)))) (pow.f64 (exp.f64 (pow.f64 x 5)) -1/120)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 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(expm1.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 (*.f64 x x) 1/6) (*.f64 -1/120 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) 1/6 (*.f64 -1/120 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/6 (pow.f64 x 3)) 1 (*.f64 -1/120 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 5) -1/120 (*.f64 1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/120 (pow.f64 x 5)) 1 (*.f64 1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/120 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/120 (pow.f64 x 5)) (*.f64 1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (*.f64 x 1/6) (*.f64 -1/120 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 10)) (*.f64 (pow.f64 (cbrt.f64 x) 5) -1/120) (*.f64 1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 1/6)) (pow.f64 (*.f64 x (cbrt.f64 1/6)) 2) (*.f64 -1/120 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x (cbrt.f64 1/6)) 2) (*.f64 x (cbrt.f64 1/6)) (*.f64 -1/120 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 -1/120 (pow.f64 x 5))) (cbrt.f64 (*.f64 (pow.f64 x 10) 1/14400)) (*.f64 1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 10) 1/14400)) (cbrt.f64 (*.f64 -1/120 (pow.f64 x 5))) (*.f64 1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 1/6) (pow.f64 x 3/2)) (*.f64 (sqrt.f64 1/6) (pow.f64 x 3/2)) (*.f64 -1/120 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 -1/120) (pow.f64 x 5/2)) (*.f64 (sqrt.f64 -1/120) (pow.f64 x 5/2)) (*.f64 1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) 1/6) (*.f64 -1/120 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 5/2) (*.f64 (pow.f64 x 5/2) -1/120) (*.f64 1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/6 x) (*.f64 x x) (*.f64 -1/120 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/6 (*.f64 x x)) x (*.f64 -1/120 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/6 (pow.f64 x 3/2)) (pow.f64 x 3/2) (*.f64 -1/120 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/120 (cbrt.f64 (pow.f64 x 10))) (pow.f64 (cbrt.f64 x) 5) (*.f64 1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/120 (pow.f64 x 5/2)) (pow.f64 x 5/2) (*.f64 1/6 (pow.f64 x 3)))))))

simplify69.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
840×distribute-lft-out_binary64
827×fma-def_binary64
458×associate-*l/_binary64
384×associate-/r/_binary64
381×associate-/l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
039329
196329
2250329
3848281
42340269
55929269
67303269
Stop Event
1×node limit
Counts
134 → 133
Calls
Call 1
Inputs
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -23/360 (pow.f64 x 4)) (*.f64 -1/1080 (pow.f64 x 6))))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -19/113400 (pow.f64 x 8)) (+.f64 (*.f64 -23/360 (pow.f64 x 4)) (*.f64 -1/1080 (pow.f64 x 6)))))
(*.f64 -1/120 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 5)) (sin.f64 x)))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x))) (*.f64 -1/120 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 5)) (sin.f64 x))))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x))) (*.f64 -1/120 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 5)) (sin.f64 x))))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x))) (*.f64 -1/120 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 5)) (sin.f64 x))))
(*.f64 -1/120 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 5)) (sin.f64 x)))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x))) (*.f64 -1/120 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 5)) (sin.f64 x))))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x))) (*.f64 -1/120 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 5)) (sin.f64 x))))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x))) (*.f64 -1/120 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 5)) (sin.f64 x))))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 -1/120 (pow.f64 x 5))
(*.f64 -1/120 (pow.f64 x 5))
Outputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -23/360 (pow.f64 x 4)) (*.f64 -1/1080 (pow.f64 x 6))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -1/1080 (pow.f64 x 6))))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6) (*.f64 -1/1080 (pow.f64 x 6)))
(*.f64 (*.f64 x x) (fma.f64 (pow.f64 x 4) -1/1080 (fma.f64 (*.f64 x x) -23/360 1/6)))
(fma.f64 (pow.f64 x 4) (fma.f64 (*.f64 x x) -1/1080 -23/360) (*.f64 1/6 (*.f64 x x)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -19/113400 (pow.f64 x 8)) (+.f64 (*.f64 -23/360 (pow.f64 x 4)) (*.f64 -1/1080 (pow.f64 x 6)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -19/113400 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -1/1080 (pow.f64 x 6)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -1/1080 (pow.f64 x 6) (fma.f64 -19/113400 (pow.f64 x 8) (*.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 -23/360 (pow.f64 x 4) (fma.f64 -1/1080 (pow.f64 x 6) (fma.f64 -19/113400 (pow.f64 x 8) (*.f64 1/6 (*.f64 x x)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (fma.f64 -1/1080 (pow.f64 x 6) (*.f64 -19/113400 (pow.f64 x 8)))))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6)) (*.f64 (pow.f64 x 6) (fma.f64 (*.f64 x x) -19/113400 -1/1080)))
(*.f64 -1/120 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 5)) (sin.f64 x)))
(*.f64 -1/120 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 5))))
(*.f64 -1/120 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 5)))
(*.f64 (/.f64 (*.f64 -1/120 (cos.f64 x)) (sin.f64 x)) (pow.f64 x 5))
(*.f64 (pow.f64 x 5) (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) -1/120)))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x))) (*.f64 -1/120 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 5)) (sin.f64 x))))
(fma.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)) (*.f64 -1/120 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 5)))))
(fma.f64 -1/120 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 5)) (*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3))))
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 x 3) (sin.f64 x)) (cos.f64 x)) (*.f64 (/.f64 (*.f64 -1/120 (cos.f64 x)) (sin.f64 x)) (pow.f64 x 5)))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (*.f64 -1/120 (pow.f64 x 5)) (*.f64 1/6 (pow.f64 x 3))))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x))) (*.f64 -1/120 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 5)) (sin.f64 x))))
(fma.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)) (*.f64 -1/120 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 5)))))
(fma.f64 -1/120 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 5)) (*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3))))
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 x 3) (sin.f64 x)) (cos.f64 x)) (*.f64 (/.f64 (*.f64 -1/120 (cos.f64 x)) (sin.f64 x)) (pow.f64 x 5)))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (*.f64 -1/120 (pow.f64 x 5)) (*.f64 1/6 (pow.f64 x 3))))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x))) (*.f64 -1/120 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 5)) (sin.f64 x))))
(fma.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)) (*.f64 -1/120 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 5)))))
(fma.f64 -1/120 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 5)) (*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3))))
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 x 3) (sin.f64 x)) (cos.f64 x)) (*.f64 (/.f64 (*.f64 -1/120 (cos.f64 x)) (sin.f64 x)) (pow.f64 x 5)))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (*.f64 -1/120 (pow.f64 x 5)) (*.f64 1/6 (pow.f64 x 3))))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))))
(*.f64 -1/120 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 5)) (sin.f64 x)))
(*.f64 -1/120 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 5))))
(*.f64 -1/120 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 5)))
(*.f64 (/.f64 (*.f64 -1/120 (cos.f64 x)) (sin.f64 x)) (pow.f64 x 5))
(*.f64 (pow.f64 x 5) (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) -1/120)))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x))) (*.f64 -1/120 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 5)) (sin.f64 x))))
(fma.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)) (*.f64 -1/120 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 5)))))
(fma.f64 -1/120 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 5)) (*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3))))
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 x 3) (sin.f64 x)) (cos.f64 x)) (*.f64 (/.f64 (*.f64 -1/120 (cos.f64 x)) (sin.f64 x)) (pow.f64 x 5)))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (*.f64 -1/120 (pow.f64 x 5)) (*.f64 1/6 (pow.f64 x 3))))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x))) (*.f64 -1/120 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 5)) (sin.f64 x))))
(fma.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)) (*.f64 -1/120 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 5)))))
(fma.f64 -1/120 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 5)) (*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3))))
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 x 3) (sin.f64 x)) (cos.f64 x)) (*.f64 (/.f64 (*.f64 -1/120 (cos.f64 x)) (sin.f64 x)) (pow.f64 x 5)))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (*.f64 -1/120 (pow.f64 x 5)) (*.f64 1/6 (pow.f64 x 3))))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x))) (*.f64 -1/120 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 5)) (sin.f64 x))))
(fma.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)) (*.f64 -1/120 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 5)))))
(fma.f64 -1/120 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 5)) (*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3))))
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 x 3) (sin.f64 x)) (cos.f64 x)) (*.f64 (/.f64 (*.f64 -1/120 (cos.f64 x)) (sin.f64 x)) (pow.f64 x 5)))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (*.f64 -1/120 (pow.f64 x 5)) (*.f64 1/6 (pow.f64 x 3))))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 -1/120 (pow.f64 x 5))
(*.f64 -1/120 (pow.f64 x 5))

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (log.f64 (exp.f64 (-.f64 x (sin.f64 x)))) (tan.f64 x))
✓0.9b
(log.f64 (exp.f64 (-.f64 x (sin.f64 x))))
2.5b
(-.f64 x (sin.f64 x))
Compiler

Compiled 30 to 7 computations (76.7% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(log.f64 (exp.f64 (-.f64 x (sin.f64 x))))
0.0ms
x
@inf
(log.f64 (exp.f64 (-.f64 x (sin.f64 x))))
0.0ms
x
@-inf
(log.f64 (exp.f64 (-.f64 x (sin.f64 x))))
0.0ms
x
@inf
(/.f64 (log.f64 (exp.f64 (-.f64 x (sin.f64 x)))) (tan.f64 x))
0.0ms
x
@0
(/.f64 (log.f64 (exp.f64 (-.f64 x (sin.f64 x)))) (tan.f64 x))

rewrite70.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
116117
2225517
Stop Event
1×node limit
Counts
2 → 74
Calls
Call 1
Inputs
(log.f64 (exp.f64 (-.f64 x (sin.f64 x))))
(/.f64 (log.f64 (exp.f64 (-.f64 x (sin.f64 x)))) (tan.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (neg.f64 (sin.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sin.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 x (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 x (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 x (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 x (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 x (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 x (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (-.f64 x (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x 3) (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))) (/.f64 (pow.f64 (sin.f64 x) 3) (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (+.f64 x (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2) (cbrt.f64 (-.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (sqrt.f64 (-.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))) (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (sin.f64 x)) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3)) (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2)) (+.f64 x (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (sin.f64 x) (+.f64 x (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) 2))) (neg.f64 (+.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (sin.f64 x)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))) (*.f64 x (neg.f64 (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x)))) (-.f64 x (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (sin.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sin.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (sin.f64 x)) (/.f64 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 2) (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2) (*.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) (sqrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (*.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 x (sin.f64 x))) (/.f64 1 (neg.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (tan.f64 x)) (-.f64 x (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (-.f64 x (sin.f64 x)) (cbrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (cbrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (tan.f64 x))) (/.f64 (-.f64 x (sin.f64 x)) (sqrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2) (sqrt.f64 (tan.f64 x))) (/.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) (sqrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x (sin.f64 x)) (sin.f64 x)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 x (sin.f64 x)) (neg.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 x (sin.f64 x)) 3) (pow.f64 (tan.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))))))

simplify76.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
766×distribute-rgt-out_binary64
740×distribute-lft-out_binary64
663×fma-def_binary64
638×associate-*l*_binary64
493×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
052314
1132296
2302296
3872284
43807284
56577284
67472284
Stop Event
1×node limit
Counts
98 → 95
Calls
Call 1
Inputs
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/120 (pow.f64 x 5)))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5))))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/362880 (pow.f64 x 9)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5)))))
x
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 (*.f64 -1 (sin.f64 x)) x)
x
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
Outputs
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/120 (pow.f64 x 5)))
(fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5)))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5))))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/5040 (pow.f64 x 7))))
(fma.f64 -1/120 (pow.f64 x 5) (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/5040 (pow.f64 x 7))))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/362880 (pow.f64 x 9)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5)))))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5)))))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/5040 (pow.f64 x 7)))))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/120 (pow.f64 x 5) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/362880 (pow.f64 x 9)))))
(fma.f64 1/5040 (pow.f64 x 7) (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (*.f64 -1/120 (pow.f64 x 5)))))
x
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(fma.f64 -1 (sin.f64 x) x)
(-.f64 x (sin.f64 x))
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(fma.f64 -1 (sin.f64 x) x)
(-.f64 x (sin.f64 x))
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(fma.f64 -1 (sin.f64 x) x)
(-.f64 x (sin.f64 x))
x
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(fma.f64 -1 (sin.f64 x) x)
(-.f64 x (sin.f64 x))
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(fma.f64 -1 (sin.f64 x) x)
(-.f64 x (sin.f64 x))
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(fma.f64 -1 (sin.f64 x) x)
(-.f64 x (sin.f64 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -11/15120 (pow.f64 x 6)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -143/604800 (pow.f64 x 8)))))
(fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -143/604800 (pow.f64 x 8))))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x)
(*.f64 x (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 (cos.f64 x) (/.f64 x (sin.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x)) (neg.f64 (cos.f64 x)))
(-.f64 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x) (cos.f64 x))
(-.f64 (*.f64 x (/.f64 (cos.f64 x) (sin.f64 x))) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x)) (neg.f64 (cos.f64 x)))
(-.f64 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x) (cos.f64 x))
(-.f64 (*.f64 x (/.f64 (cos.f64 x) (sin.f64 x))) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x)) (neg.f64 (cos.f64 x)))
(-.f64 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x) (cos.f64 x))
(-.f64 (*.f64 x (/.f64 (cos.f64 x) (sin.f64 x))) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x)
(*.f64 x (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 (cos.f64 x) (/.f64 x (sin.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x)) (neg.f64 (cos.f64 x)))
(-.f64 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x) (cos.f64 x))
(-.f64 (*.f64 x (/.f64 (cos.f64 x) (sin.f64 x))) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x)) (neg.f64 (cos.f64 x)))
(-.f64 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x) (cos.f64 x))
(-.f64 (*.f64 x (/.f64 (cos.f64 x) (sin.f64 x))) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x)) (neg.f64 (cos.f64 x)))
(-.f64 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x) (cos.f64 x))
(-.f64 (*.f64 x (/.f64 (cos.f64 x) (sin.f64 x))) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))

eval299.0ms (1.4%)

Compiler

Compiled 8465 to 5650 computations (33.3% saved)

prune309.0ms (1.4%)

Pruning

18 alts after pruning (14 fresh and 4 done)

PrunedKeptTotal
New48213495
Fresh314
Picked011
Done235
Total48718505
Error
0.0b
Counts
505 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
28.4b
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)
✓0.7b
(*.f64 1/6 (*.f64 x x))
▶28.0b
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 3)
33.9b
(*.f64 (/.f64 (*.f64 (sqrt.f64 1/6) (pow.f64 x 3/2)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (*.f64 (sqrt.f64 1/6) (pow.f64 x 3/2)) (cbrt.f64 (tan.f64 x))))
▶0.7b
(*.f64 x (*.f64 1/6 x))
✓28.1b
(/.f64 (log.f64 (exp.f64 (-.f64 x (sin.f64 x)))) (tan.f64 x))
28.0b
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))
▶0.5b
(+.f64 (+.f64 0 (*.f64 1/6 (*.f64 x x))) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
▶1.2b
(pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)
0.5b
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6)))
▶12.1b
(/.f64 (*.f64 1/6 (*.f64 (*.f64 x x) x)) (tan.f64 x))
1.2b
(*.f64 (/.f64 (pow.f64 (*.f64 x (cbrt.f64 1/6)) 2) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (*.f64 x (cbrt.f64 1/6)) (cbrt.f64 (tan.f64 x))))
✓28.0b
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
12.1b
(pow.f64 (*.f64 6 (/.f64 (tan.f64 x) (pow.f64 x 3))) -1)
12.1b
(*.f64 (/.f64 1/6 (tan.f64 x)) (pow.f64 x 3))
1.3b
(pow.f64 (/.f64 (*.f64 x (cbrt.f64 1/6)) (cbrt.f64 (tan.f64 x))) 3)
✓12.1b
(/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))
0.7b
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
Compiler

Compiled 377 to 281 computations (25.5% saved)

localize172.0ms (0.8%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))
0.0b
(*.f64 -11/15120 (pow.f64 x 6))
0.1b
(*.f64 -23/360 (pow.f64 x 4))
0.2b
(*.f64 1/6 (*.f64 x x))
Compiler

Compiled 69 to 49 computations (29% saved)

localize10.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 x (*.f64 1/6 x))
✓0.3b
(*.f64 1/6 x)
Compiler

Compiled 11 to 7 computations (36.4% saved)

series4.0ms (0%)

Counts
2 → 12
Calls

6 calls:

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

rewrite65.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
446×pow1_binary64
432×add-sqr-sqrt_binary64
423×*-un-lft-identity_binary64
413×add-log-exp_binary64
413×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0511
110111
2113311
Stop Event
1×node limit
Counts
2 → 28
Calls
Call 1
Inputs
(*.f64 1/6 x)
(*.f64 x (*.f64 1/6 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/6 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 1/6))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/6)) (cbrt.f64 (pow.f64 (exp.f64 x) 1/6)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/6 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/6 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/6 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/6 x)) 2)))) (#(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 (pow.f64 (*.f64 1/6 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/6 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 1/6 x))) (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 1/6 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 1/6 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 1/6 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 1/6 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/6 (*.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 1/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))))))

simplify178.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1082×sqr-pow_binary64
617×cube-prod_binary64
554×fabs-mul_binary64
523×pow-sqr_binary64
441×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0684
11284
22384
34484
410584
533184
6125084
7212384
8228784
9247184
10267984
11297684
12337184
13385284
14441884
15510284
16593584
17632784
18661984
19689584
20696984
21700384
22794484
Stop Event
1×node limit
Counts
40 → 30
Calls
Call 1
Inputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
Outputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (*.f64 x x) x)
✓0.1b
(*.f64 1/6 (*.f64 (*.f64 x x) x))
✓11.6b
(/.f64 (*.f64 1/6 (*.f64 (*.f64 x x) x)) (tan.f64 x))
Compiler

Compiled 30 to 10 computations (66.7% saved)

series4.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite88.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
885×pow1_binary64
830×add-log-exp_binary64
830×log1p-expm1-u_binary64
830×expm1-log1p-u_binary64
812×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0823
117023
2225523
Stop Event
1×node limit
Counts
3 → 68
Calls
Call 1
Inputs
(/.f64 (*.f64 1/6 (*.f64 (*.f64 x x) x)) (tan.f64 x))
(*.f64 1/6 (*.f64 (*.f64 x x) x))
(*.f64 (*.f64 x x) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (/.f64 1 (/.f64 (tan.f64 x) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (*.f64 (pow.f64 x 3) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) (*.f64 1/6 (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/6 (pow.f64 x 3)) (/.f64 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (cbrt.f64 1/6)) (cbrt.f64 (tan.f64 x))) (pow.f64 (/.f64 (*.f64 x (cbrt.f64 1/6)) (cbrt.f64 (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (*.f64 x (cbrt.f64 1/6)) (cbrt.f64 (tan.f64 x))) 2) (/.f64 (*.f64 x (cbrt.f64 1/6)) (cbrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (cbrt.f64 1/6)) 2) (*.f64 (*.f64 x (cbrt.f64 1/6)) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x)))) (sqrt.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/6)) (*.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/6)) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 3) -1/6) (/.f64 1 (neg.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (tan.f64 x)) (*.f64 1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/6 (*.f64 x x)) (*.f64 x (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 3) 1) (/.f64 1/6 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/6 (tan.f64 x)) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (*.f64 x (cbrt.f64 1/6)) 2) 1) (/.f64 (*.f64 x (cbrt.f64 1/6)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/6)) 1) (/.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/6)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/6 (*.f64 x x)) 1) (/.f64 x (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/6 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (pow.f64 x 3) (cbrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 1/6 (cbrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (*.f64 1/6 (pow.f64 x 3)) (cbrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (*.f64 x (cbrt.f64 1/6)) 2) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (*.f64 x (cbrt.f64 1/6)) (cbrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/6)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/6)) (cbrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/6 (*.f64 x x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 x (cbrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/6 (sqrt.f64 (tan.f64 x))) (/.f64 (pow.f64 x 3) (sqrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 3) (sqrt.f64 (tan.f64 x))) (/.f64 1/6 (sqrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (tan.f64 x))) (/.f64 (*.f64 1/6 (pow.f64 x 3)) (sqrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (*.f64 x (cbrt.f64 1/6)) 2) (sqrt.f64 (tan.f64 x))) (/.f64 (*.f64 x (cbrt.f64 1/6)) (sqrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/6 (*.f64 x x)) (sqrt.f64 (tan.f64 x))) (/.f64 x (sqrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/6 (pow.f64 x 3)) (sin.f64 x)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x (cbrt.f64 1/6)) (cbrt.f64 (tan.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (tan.f64 x) (*.f64 1/6 (pow.f64 x 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 1/6 (pow.f64 x 3)) 3) (pow.f64 (tan.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/6 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/6 (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/6 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/6 (pow.f64 x 3))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 x 3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 x) 3))))))

simplify44.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
747×unswap-sqr_binary64
724×distribute-lft-out_binary64
685×associate-*l*_binary64
584×distribute-rgt-out_binary64
543×associate-*r*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032338
177338
2202338
3698338
43789338
Stop Event
1×node limit
Counts
104 → 79
Calls
Call 1
Inputs
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2)))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -1/270 (pow.f64 x 6))))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -1/2835 (pow.f64 x 8)) (*.f64 -1/270 (pow.f64 x 6)))))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
Outputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 -1/18 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -1/18 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/18) 1/6)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/18) 1/6))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -1/270 (pow.f64 x 6))))
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) (*.f64 -1/270 (pow.f64 x 6))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -1/18 (pow.f64 x 4) (*.f64 -1/270 (pow.f64 x 6))))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -1/2835 (pow.f64 x 8)) (*.f64 -1/270 (pow.f64 x 6)))))
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) (fma.f64 -1/2835 (pow.f64 x 8) (*.f64 -1/270 (pow.f64 x 6)))))
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) (fma.f64 -1/270 (pow.f64 x 6) (*.f64 -1/2835 (pow.f64 x 8)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -1/18 (pow.f64 x 4) (fma.f64 -1/270 (pow.f64 x 6) (*.f64 -1/2835 (pow.f64 x 8)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -1/2835 (pow.f64 x 8) (fma.f64 -1/18 (pow.f64 x 4) (*.f64 -1/270 (pow.f64 x 6)))))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(*.f64 1/6 (*.f64 (pow.f64 x 3) (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 (pow.f64 x 3) (/.f64 (*.f64 1/6 (cos.f64 x)) (sin.f64 x)))
(*.f64 (pow.f64 x 3) (*.f64 1/6 (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(*.f64 1/6 (*.f64 (pow.f64 x 3) (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 (pow.f64 x 3) (/.f64 (*.f64 1/6 (cos.f64 x)) (sin.f64 x)))
(*.f64 (pow.f64 x 3) (*.f64 1/6 (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(*.f64 1/6 (*.f64 (pow.f64 x 3) (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 (pow.f64 x 3) (/.f64 (*.f64 1/6 (cos.f64 x)) (sin.f64 x)))
(*.f64 (pow.f64 x 3) (*.f64 1/6 (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(*.f64 1/6 (*.f64 (pow.f64 x 3) (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 (pow.f64 x 3) (/.f64 (*.f64 1/6 (cos.f64 x)) (sin.f64 x)))
(*.f64 (pow.f64 x 3) (*.f64 1/6 (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(*.f64 1/6 (*.f64 (pow.f64 x 3) (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 (pow.f64 x 3) (/.f64 (*.f64 1/6 (cos.f64 x)) (sin.f64 x)))
(*.f64 (pow.f64 x 3) (*.f64 1/6 (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(*.f64 1/6 (*.f64 (pow.f64 x 3) (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 (pow.f64 x 3) (/.f64 (*.f64 1/6 (cos.f64 x)) (sin.f64 x)))
(*.f64 (pow.f64 x 3) (*.f64 1/6 (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(*.f64 1/6 (*.f64 (pow.f64 x 3) (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 (pow.f64 x 3) (/.f64 (*.f64 1/6 (cos.f64 x)) (sin.f64 x)))
(*.f64 (pow.f64 x 3) (*.f64 1/6 (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(*.f64 1/6 (*.f64 (pow.f64 x 3) (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 (pow.f64 x 3) (/.f64 (*.f64 1/6 (cos.f64 x)) (sin.f64 x)))
(*.f64 (pow.f64 x 3) (*.f64 1/6 (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/6 (pow.f64 x 3))
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)
(pow.f64 x 3)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.2b
(*.f64 1/6 (*.f64 x x))
✓0.3b
(pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)
✓32.2b
(cbrt.f64 (*.f64 1/6 (*.f64 x x)))
Compiler

Compiled 26 to 14 computations (46.2% saved)

series6.0ms (0%)

Counts
2 → 0
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)
1.0ms
x
@0
(cbrt.f64 (*.f64 1/6 (*.f64 x x)))
1.0ms
x
@inf
(pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)
1.0ms
x
@-inf
(pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)
1.0ms
x
@inf
(cbrt.f64 (*.f64 1/6 (*.f64 x x)))

rewrite92.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
603×pow1_binary64
569×add-log-exp_binary64
569×log1p-expm1-u_binary64
569×expm1-log1p-u_binary64
555×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0816
117016
2165216
Stop Event
1×node limit
Counts
2 → 54
Calls
Call 1
Inputs
(cbrt.f64 (*.f64 1/6 (*.f64 x x)))
(pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 1/6 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/6) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x)))) (cbrt.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x)))) (pow.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 x 4)))) (cbrt.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (sqrt.f64 1/6))) (cbrt.f64 (*.f64 x (sqrt.f64 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/6 x)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (sqrt.f64 1/6)) 1/3) (pow.f64 (*.f64 x (sqrt.f64 1/6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 1/6 x) 1/3) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (*.f64 x x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 1/6))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 1/6 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/6 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))) (cbrt.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/6) (*.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 1/36 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 x 4)))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x)))) (cbrt.f64 (*.f64 1/36 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (cbrt.f64 (*.f64 x x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 1/6)) (*.f64 x (sqrt.f64 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (sqrt.f64 1/6))) (*.f64 (cbrt.f64 (*.f64 x (sqrt.f64 1/6))) (cbrt.f64 (*.f64 1/36 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/6 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 1/6) 3) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 x 4)))) 3) (cbrt.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 1/6))) 3) (pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 1/6))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/6 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))) 1) (cbrt.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))) (cbrt.f64 1/6)) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))) (cbrt.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))))) (cbrt.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))) (cbrt.f64 (*.f64 x (sqrt.f64 1/6)))) (cbrt.f64 (*.f64 x (sqrt.f64 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 1/6 x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 1/6 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 1/6 x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))))))

simplify12.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
54 → 54
Calls
Call 1
Inputs
Outputs

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
✓0.0b
(cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))
✓0.0b
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 3)
2.5b
(-.f64 x (sin.f64 x))
Compiler

Compiled 36 to 9 computations (75% saved)

series6.0ms (0%)

Counts
2 → 0
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 3)
1.0ms
x
@0
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 3)
1.0ms
x
@inf
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 3)
1.0ms
x
@-inf
(cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))
0.0ms
x
@0
(cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))

rewrite149.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
591×prod-diff_binary64
461×log-prod_binary64
294×pow-prod-down_binary64
246×pow2_binary64
213×egg-rr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0924
120824
2269024
Stop Event
1×node limit
Counts
2 → 254
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 3)
(cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (tan.f64 x)))) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (tan.f64 x))) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (/.f64 1 (tan.f64 x)) (neg.f64 (*.f64 (/.f64 1 (tan.f64 x)) (sin.f64 x)))) (fma.f64 (neg.f64 (/.f64 1 (tan.f64 x))) (sin.f64 x) (*.f64 (/.f64 1 (tan.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 x (tan.f64 x)) (neg.f64 (*.f64 (/.f64 1 (tan.f64 x)) (sin.f64 x)))) (fma.f64 (neg.f64 (/.f64 1 (tan.f64 x))) (sin.f64 x) (*.f64 (/.f64 1 (tan.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 x))) 2) (cbrt.f64 (/.f64 x (tan.f64 x))) (neg.f64 (*.f64 (/.f64 1 (tan.f64 x)) (sin.f64 x)))) (fma.f64 (neg.f64 (/.f64 1 (tan.f64 x))) (sin.f64 x) (*.f64 (/.f64 1 (tan.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 x (tan.f64 x))) (sqrt.f64 (/.f64 x (tan.f64 x))) (neg.f64 (*.f64 (/.f64 1 (tan.f64 x)) (sin.f64 x)))) (fma.f64 (neg.f64 (/.f64 1 (tan.f64 x))) (sin.f64 x) (*.f64 (/.f64 1 (tan.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (tan.f64 x)) (neg.f64 (*.f64 (/.f64 1 (tan.f64 x)) (sin.f64 x)))) (fma.f64 (neg.f64 (/.f64 1 (tan.f64 x))) (sin.f64 x) (*.f64 (/.f64 1 (tan.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (tan.f64 x)) (neg.f64 (*.f64 (/.f64 1 (tan.f64 x)) (sin.f64 x)))) (fma.f64 (neg.f64 (/.f64 1 (tan.f64 x))) (sin.f64 x) (*.f64 (/.f64 1 (tan.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) -2) (/.f64 x (cbrt.f64 (tan.f64 x))) (neg.f64 (*.f64 (/.f64 1 (tan.f64 x)) (sin.f64 x)))) (fma.f64 (neg.f64 (/.f64 1 (tan.f64 x))) (sin.f64 x) (*.f64 (/.f64 1 (tan.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (tan.f64 x))) (neg.f64 (*.f64 (/.f64 1 (tan.f64 x)) (sin.f64 x)))) (fma.f64 (neg.f64 (/.f64 1 (tan.f64 x))) (sin.f64 x) (*.f64 (/.f64 1 (tan.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (tan.f64 x))) (neg.f64 (*.f64 (/.f64 1 (tan.f64 x)) (sin.f64 x)))) (fma.f64 (neg.f64 (/.f64 1 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simplify17.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
254 → 254
Calls
Call 1
Inputs
Outputs

eval279.0ms (1.3%)

Compiler

Compiled 14650 to 6792 computations (53.6% saved)

prune193.0ms (0.9%)

Pruning

24 alts after pruning (16 fresh and 8 done)

PrunedKeptTotal
New62610636
Fresh369
Picked011
Done178
Total63024654
Error
0.0b
Counts
654 → 24
Alt Table
Click to see full alt table
StatusErrorProgram
▶28.4b
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)
✓0.7b
(*.f64 1/6 (*.f64 x x))
✓0.7b
(*.f64 x (*.f64 1/6 x))
✓28.1b
(/.f64 (log.f64 (exp.f64 (-.f64 x (sin.f64 x)))) (tan.f64 x))
28.0b
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))
✓0.5b
(+.f64 (+.f64 0 (*.f64 1/6 (*.f64 x x))) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
62.6b
(+.f64 (fma.f64 (pow.f64 (tan.f64 x) -1/2) (/.f64 x (sqrt.f64 (tan.f64 x))) (neg.f64 (*.f64 (/.f64 1 (tan.f64 x)) (sin.f64 x)))) (fma.f64 (neg.f64 (/.f64 1 (tan.f64 x))) (sin.f64 x) (*.f64 (/.f64 1 (tan.f64 x)) (sin.f64 x))))
0.6b
(+.f64 (+.f64 0 (*.f64 1/6 (*.f64 x x))) (*.f64 -23/360 (pow.f64 x 4)))
✓28.0b
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
33.7b
(*.f64 (*.f64 (*.f64 1/6 x) (sqrt.f64 x)) (sqrt.f64 x))
1.3b
(pow.f64 (/.f64 (*.f64 x (cbrt.f64 1/6)) (cbrt.f64 (tan.f64 x))) 3)
▶28.0b
(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))
▶28.0b
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 x (sin.f64 x)) (sin.f64 x)) (cos.f64 x))) 3)
12.1b
(*.f64 (/.f64 1/6 (tan.f64 x)) (pow.f64 x 3))
61.1b
(fma.f64 x (/.f64 1 (tan.f64 x)) (neg.f64 (cos.f64 x)))
✓1.2b
(pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)
▶0.5b
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6)))
✓12.1b
(/.f64 (*.f64 1/6 (*.f64 (*.f64 x x) x)) (tan.f64 x))
✓28.0b
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 3)
1.2b
(*.f64 (/.f64 (pow.f64 (*.f64 x (cbrt.f64 1/6)) 2) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (*.f64 x (cbrt.f64 1/6)) (cbrt.f64 (tan.f64 x))))
12.1b
(pow.f64 (*.f64 6 (/.f64 (tan.f64 x) (pow.f64 x 3))) -1)
16.9b
(*.f64 x (sqrt.f64 (*.f64 (*.f64 x x) 1/36)))
0.7b
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
▶1.4b
(pow.f64 (*.f64 (cbrt.f64 (*.f64 1/6 x)) (cbrt.f64 x)) 3)
Compiler

Compiled 483 to 340 computations (29.6% saved)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 (*.f64 x x) -23/360 1/6)
✓0.1b
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6)))
✓0.3b
(*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6))
Compiler

Compiled 31 to 16 computations (48.4% saved)

series4.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6))
1.0ms
x
@inf
(*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6))
0.0ms
x
@0
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6)))
0.0ms
x
@-inf
(*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6))
0.0ms
x
@inf
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6)))

rewrite81.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
722×pow1_binary64
673×add-log-exp_binary64
673×log1p-expm1-u_binary64
673×expm1-log1p-u_binary64
660×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0833
116333
2185633
Stop Event
1×node limit
Counts
3 → 52
Calls
Call 1
Inputs
(*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6)))
(fma.f64 (*.f64 x x) -23/360 1/6)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x -23/360)) x) (*.f64 1/6 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x (*.f64 x -23/360))) (*.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -23/360 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (*.f64 x x) -23/360 1/6) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) -23/360 1/6) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x -23/360)) (*.f64 x x)) (*.f64 1/6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x -23/360))) (*.f64 (*.f64 x x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (fma.f64 (*.f64 x x) -23/360 1/6))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (fma.f64 (*.f64 x x) -23/360 1/6) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 (*.f64 x x) -23/360 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (fma.f64 (*.f64 x x) -23/360 1/6) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/6 (*.f64 x (*.f64 x -23/360)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x -23/360)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x -23/360)) 1) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (*.f64 x x) -23/360 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 x x) -23/360 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (*.f64 x x) -23/360 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -23/360 1/6)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -23/360 1/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -23/360 1/6)) 2) (cbrt.f64 (fma.f64 (*.f64 x x) -23/360 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -23/360 1/6)) (sqrt.f64 (fma.f64 (*.f64 x x) -23/360 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -23/360)) 3) 1/216) (+.f64 (*.f64 (*.f64 x (*.f64 x -23/360)) (*.f64 x (*.f64 x -23/360))) (-.f64 1/36 (*.f64 (*.f64 x (*.f64 x -23/360)) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x -23/360)) (*.f64 x (*.f64 x -23/360))) 1/36) (-.f64 (*.f64 x (*.f64 x -23/360)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (*.f64 x x) -23/360 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 x x) -23/360 1/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -23/360 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -23/360 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (*.f64 x x) -23/360 1/6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (*.f64 x x) -23/360 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) -23/360 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (*.f64 x x) -23/360 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (*.f64 x x) -23/360 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (*.f64 x x) -23/360 1/6)))))))

simplify197.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
957×sqr-pow_binary64
803×unswap-sqr_binary64
635×cube-prod_binary64
542×fabs-mul_binary64
385×pow-sqr_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
018369
142351
282351
3184351
4617351
51177351
62614351
72733351
82907351
93119351
103402351
113778351
124226351
134778351
145470351
155929351
166238351
176506351
186720351
196912351
207693351
Stop Event
1×node limit
Counts
88 → 66
Calls
Call 1
Inputs
(*.f64 1/6 x)
(+.f64 (*.f64 1/6 x) (*.f64 -23/360 (pow.f64 x 3)))
(+.f64 (*.f64 1/6 x) (*.f64 -23/360 (pow.f64 x 3)))
(+.f64 (*.f64 1/6 x) (*.f64 -23/360 (pow.f64 x 3)))
(*.f64 -23/360 (pow.f64 x 3))
(+.f64 (*.f64 1/6 x) (*.f64 -23/360 (pow.f64 x 3)))
(+.f64 (*.f64 1/6 x) (*.f64 -23/360 (pow.f64 x 3)))
(+.f64 (*.f64 1/6 x) (*.f64 -23/360 (pow.f64 x 3)))
(*.f64 -23/360 (pow.f64 x 3))
(+.f64 (*.f64 1/6 x) (*.f64 -23/360 (pow.f64 x 3)))
(+.f64 (*.f64 1/6 x) (*.f64 -23/360 (pow.f64 x 3)))
(+.f64 (*.f64 1/6 x) (*.f64 -23/360 (pow.f64 x 3)))
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(*.f64 -23/360 (pow.f64 x 4))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(*.f64 -23/360 (pow.f64 x 4))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
1/6
(+.f64 1/6 (*.f64 -23/360 (pow.f64 x 2)))
(+.f64 1/6 (*.f64 -23/360 (pow.f64 x 2)))
(+.f64 1/6 (*.f64 -23/360 (pow.f64 x 2)))
(*.f64 -23/360 (pow.f64 x 2))
(+.f64 1/6 (*.f64 -23/360 (pow.f64 x 2)))
(+.f64 1/6 (*.f64 -23/360 (pow.f64 x 2)))
(+.f64 1/6 (*.f64 -23/360 (pow.f64 x 2)))
(*.f64 -23/360 (pow.f64 x 2))
(+.f64 1/6 (*.f64 -23/360 (pow.f64 x 2)))
(+.f64 1/6 (*.f64 -23/360 (pow.f64 x 2)))
(+.f64 1/6 (*.f64 -23/360 (pow.f64 x 2)))
Outputs
(*.f64 1/6 x)
(+.f64 (*.f64 1/6 x) (*.f64 -23/360 (pow.f64 x 3)))
(fma.f64 1/6 x (*.f64 -23/360 (pow.f64 x 3)))
(*.f64 x (fma.f64 -23/360 (*.f64 x x) 1/6))
(*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6))
(+.f64 (*.f64 1/6 x) (*.f64 -23/360 (pow.f64 x 3)))
(fma.f64 1/6 x (*.f64 -23/360 (pow.f64 x 3)))
(*.f64 x (fma.f64 -23/360 (*.f64 x x) 1/6))
(*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6))
(+.f64 (*.f64 1/6 x) (*.f64 -23/360 (pow.f64 x 3)))
(fma.f64 1/6 x (*.f64 -23/360 (pow.f64 x 3)))
(*.f64 x (fma.f64 -23/360 (*.f64 x x) 1/6))
(*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6))
(*.f64 -23/360 (pow.f64 x 3))
(+.f64 (*.f64 1/6 x) (*.f64 -23/360 (pow.f64 x 3)))
(fma.f64 1/6 x (*.f64 -23/360 (pow.f64 x 3)))
(*.f64 x (fma.f64 -23/360 (*.f64 x x) 1/6))
(*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6))
(+.f64 (*.f64 1/6 x) (*.f64 -23/360 (pow.f64 x 3)))
(fma.f64 1/6 x (*.f64 -23/360 (pow.f64 x 3)))
(*.f64 x (fma.f64 -23/360 (*.f64 x x) 1/6))
(*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6))
(+.f64 (*.f64 1/6 x) (*.f64 -23/360 (pow.f64 x 3)))
(fma.f64 1/6 x (*.f64 -23/360 (pow.f64 x 3)))
(*.f64 x (fma.f64 -23/360 (*.f64 x x) 1/6))
(*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6))
(*.f64 -23/360 (pow.f64 x 3))
(+.f64 (*.f64 1/6 x) (*.f64 -23/360 (pow.f64 x 3)))
(fma.f64 1/6 x (*.f64 -23/360 (pow.f64 x 3)))
(*.f64 x (fma.f64 -23/360 (*.f64 x x) 1/6))
(*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6))
(+.f64 (*.f64 1/6 x) (*.f64 -23/360 (pow.f64 x 3)))
(fma.f64 1/6 x (*.f64 -23/360 (pow.f64 x 3)))
(*.f64 x (fma.f64 -23/360 (*.f64 x x) 1/6))
(*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6))
(+.f64 (*.f64 1/6 x) (*.f64 -23/360 (pow.f64 x 3)))
(fma.f64 1/6 x (*.f64 -23/360 (pow.f64 x 3)))
(*.f64 x (fma.f64 -23/360 (*.f64 x x) 1/6))
(*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 -23/360 (*.f64 x x) 1/6))
(*.f64 (fma.f64 x (*.f64 x -23/360) 1/6) (*.f64 x x))
(fma.f64 x (*.f64 1/6 x) (*.f64 -23/360 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 -23/360 (*.f64 x x) 1/6))
(*.f64 (fma.f64 x (*.f64 x -23/360) 1/6) (*.f64 x x))
(fma.f64 x (*.f64 1/6 x) (*.f64 -23/360 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 -23/360 (*.f64 x x) 1/6))
(*.f64 (fma.f64 x (*.f64 x -23/360) 1/6) (*.f64 x x))
(fma.f64 x (*.f64 1/6 x) (*.f64 -23/360 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6)))
(*.f64 -23/360 (pow.f64 x 4))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 -23/360 (*.f64 x x) 1/6))
(*.f64 (fma.f64 x (*.f64 x -23/360) 1/6) (*.f64 x x))
(fma.f64 x (*.f64 1/6 x) (*.f64 -23/360 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 -23/360 (*.f64 x x) 1/6))
(*.f64 (fma.f64 x (*.f64 x -23/360) 1/6) (*.f64 x x))
(fma.f64 x (*.f64 1/6 x) (*.f64 -23/360 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 -23/360 (*.f64 x x) 1/6))
(*.f64 (fma.f64 x (*.f64 x -23/360) 1/6) (*.f64 x x))
(fma.f64 x (*.f64 1/6 x) (*.f64 -23/360 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6)))
(*.f64 -23/360 (pow.f64 x 4))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 -23/360 (*.f64 x x) 1/6))
(*.f64 (fma.f64 x (*.f64 x -23/360) 1/6) (*.f64 x x))
(fma.f64 x (*.f64 1/6 x) (*.f64 -23/360 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 -23/360 (*.f64 x x) 1/6))
(*.f64 (fma.f64 x (*.f64 x -23/360) 1/6) (*.f64 x x))
(fma.f64 x (*.f64 1/6 x) (*.f64 -23/360 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 -23/360 (*.f64 x x) 1/6))
(*.f64 (fma.f64 x (*.f64 x -23/360) 1/6) (*.f64 x x))
(fma.f64 x (*.f64 1/6 x) (*.f64 -23/360 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6)))
1/6
(+.f64 1/6 (*.f64 -23/360 (pow.f64 x 2)))
(+.f64 1/6 (*.f64 -23/360 (*.f64 x x)))
(fma.f64 -23/360 (*.f64 x x) 1/6)
(fma.f64 x (*.f64 x -23/360) 1/6)
(+.f64 1/6 (*.f64 -23/360 (pow.f64 x 2)))
(+.f64 1/6 (*.f64 -23/360 (*.f64 x x)))
(fma.f64 -23/360 (*.f64 x x) 1/6)
(fma.f64 x (*.f64 x -23/360) 1/6)
(+.f64 1/6 (*.f64 -23/360 (pow.f64 x 2)))
(+.f64 1/6 (*.f64 -23/360 (*.f64 x x)))
(fma.f64 -23/360 (*.f64 x x) 1/6)
(fma.f64 x (*.f64 x -23/360) 1/6)
(*.f64 -23/360 (pow.f64 x 2))
(*.f64 -23/360 (*.f64 x x))
(*.f64 x (*.f64 x -23/360))
(+.f64 1/6 (*.f64 -23/360 (pow.f64 x 2)))
(+.f64 1/6 (*.f64 -23/360 (*.f64 x x)))
(fma.f64 -23/360 (*.f64 x x) 1/6)
(fma.f64 x (*.f64 x -23/360) 1/6)
(+.f64 1/6 (*.f64 -23/360 (pow.f64 x 2)))
(+.f64 1/6 (*.f64 -23/360 (*.f64 x x)))
(fma.f64 -23/360 (*.f64 x x) 1/6)
(fma.f64 x (*.f64 x -23/360) 1/6)
(+.f64 1/6 (*.f64 -23/360 (pow.f64 x 2)))
(+.f64 1/6 (*.f64 -23/360 (*.f64 x x)))
(fma.f64 -23/360 (*.f64 x x) 1/6)
(fma.f64 x (*.f64 x -23/360) 1/6)
(*.f64 -23/360 (pow.f64 x 2))
(*.f64 -23/360 (*.f64 x x))
(*.f64 x (*.f64 x -23/360))
(+.f64 1/6 (*.f64 -23/360 (pow.f64 x 2)))
(+.f64 1/6 (*.f64 -23/360 (*.f64 x x)))
(fma.f64 -23/360 (*.f64 x x) 1/6)
(fma.f64 x (*.f64 x -23/360) 1/6)
(+.f64 1/6 (*.f64 -23/360 (pow.f64 x 2)))
(+.f64 1/6 (*.f64 -23/360 (*.f64 x x)))
(fma.f64 -23/360 (*.f64 x x) 1/6)
(fma.f64 x (*.f64 x -23/360) 1/6)
(+.f64 1/6 (*.f64 -23/360 (pow.f64 x 2)))
(+.f64 1/6 (*.f64 -23/360 (*.f64 x x)))
(fma.f64 -23/360 (*.f64 x x) 1/6)
(fma.f64 x (*.f64 x -23/360) 1/6)

localize11.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(*.f64 1/6 (*.f64 x x))
✓2.5b
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)
Compiler

Compiled 28 to 16 computations (42.9% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite67.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
816×pow1_binary64
769×add-log-exp_binary64
768×log1p-expm1-u_binary64
768×expm1-log1p-u_binary64
756×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0813
11787
223987
Stop Event
1×node limit
Counts
1 → 46
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 1/6 (*.f64 x x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 1/6 (*.f64 x x) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/6 (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/6 (*.f64 x x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 1/6 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/6 (*.f64 x x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 1/6 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/6 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)) (cbrt.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 1/6)) (*.f64 x (sqrt.f64 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 1/6 (*.f64 x x) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/6 (*.f64 x x) 1) 2) (+.f64 (*.f64 1/6 (*.f64 x x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 1/6 (*.f64 x x) 1) 2) -1) (/.f64 1 (+.f64 (*.f64 1/6 (*.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/6 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 1/6))) 1) (-.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 1/6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/6 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 1/6 x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 1/6 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 1/6 x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 1/6 (*.f64 x x) 1) 2) (+.f64 (*.f64 1/6 (*.f64 x x)) 2)) (+.f64 (pow.f64 (fma.f64 1/6 (*.f64 x x) 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 1/6 (*.f64 x x)) 2) (+.f64 (pow.f64 (fma.f64 1/6 (*.f64 x x) 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/6 (*.f64 x x) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 1/6 (*.f64 x x) 1) 2) (+.f64 (*.f64 1/6 (*.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/6 (*.f64 x x) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 1/6 (*.f64 x x) 1) 2) (-.f64 1 (*.f64 (fma.f64 1/6 (*.f64 x x) 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/6 (*.f64 x x) 1) 2) -1) (+.f64 (*.f64 1/6 (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/6 (*.f64 x x) 1) 2) -1) (-.f64 (fma.f64 1/6 (*.f64 x x) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/6 (*.f64 x x) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 1/6 (*.f64 x x) 1) 2) (+.f64 (*.f64 1/6 (*.f64 x x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/6 (*.f64 x x) 1) 2) -1)) (neg.f64 (+.f64 (*.f64 1/6 (*.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 1/6 (*.f64 x x) -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 1/6 (*.f64 x x) -1) (fma.f64 1/6 (*.f64 x x) -1)) (fma.f64 1/6 (*.f64 x x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (fma.f64 1/6 (*.f64 x x) -1) (fma.f64 1/6 (*.f64 x x) -1))) (-.f64 1 (fma.f64 1/6 (*.f64 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/216) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/216))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 1/6 (*.f64 x x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 1/6 (*.f64 x x) 1) 2)) (cbrt.f64 (fma.f64 1/6 (*.f64 x x) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 1/6))) (hypot.f64 1 (*.f64 x (sqrt.f64 1/6))) -1)))))

simplify175.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1082×sqr-pow_binary64
617×cube-prod_binary64
554×fabs-mul_binary64
523×pow-sqr_binary64
441×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0684
11284
22384
34484
410584
533184
6125084
7212384
8228784
9247184
10267984
11297684
12337184
13385284
14441884
15510284
16593584
17632784
18661984
19689584
20696984
21700384
22794484
Stop Event
1×node limit
Counts
58 → 47
Calls
Call 1
Inputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
Outputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓2.5b
(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))
Compiler

Compiled 17 to 5 computations (70.6% saved)

series6.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@inf
(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))
1.0ms
x
@-inf
(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))
1.0ms
x
@0
(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))

rewrite59.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
845×pow1_binary64
787×add-log-exp_binary64
787×log1p-expm1-u_binary64
787×expm1-log1p-u_binary64
770×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0611
113711
2205211
Stop Event
1×node limit
Counts
1 → 36
Calls
Call 1
Inputs
(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (tan.f64 x)) (*.f64 (neg.f64 (cos.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 x)) (/.f64 x (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))) 2) (cbrt.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))) (sqrt.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 x)) 3) (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 x (tan.f64 x)) 2) (*.f64 (cos.f64 x) (+.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 x)) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 1 (+.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (/.f64 x (tan.f64 x))) (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (/.f64 x (tan.f64 x))) (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 x (tan.f64 x)) 2) (*.f64 (cos.f64 x) (+.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)))) (-.f64 (pow.f64 (/.f64 x (tan.f64 x)) 3) (pow.f64 (cos.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)) (-.f64 (pow.f64 (/.f64 x (tan.f64 x)) 2) (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 x)) 3) (pow.f64 (cos.f64 x) 3)) (+.f64 (pow.f64 (/.f64 x (tan.f64 x)) 2) (*.f64 (cos.f64 x) (+.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 x)) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 x)) 3) (pow.f64 (cos.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 x (tan.f64 x)) 2) (*.f64 (cos.f64 x) (+.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 x)) 2) (pow.f64 (cos.f64 x) 2))) (neg.f64 (+.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 x (tan.f64 x)) 3) (pow.f64 (neg.f64 (cos.f64 x)) 3)) (+.f64 (pow.f64 (/.f64 x (tan.f64 x)) 2) (-.f64 (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x))) (*.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 x)) 2) (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (-.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 1 (tan.f64 x)) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 x))) 2) (cbrt.f64 (/.f64 x (tan.f64 x))) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x (tan.f64 x))) (sqrt.f64 (/.f64 x (tan.f64 x))) (neg.f64 (cos.f64 x)))))))

simplify61.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
478×distribute-lft-out_binary64
469×distribute-rgt-out_binary64
413×unswap-sqr_binary64
391×associate-/r/_binary64
370×*-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
030200
169188
2154188
3454176
42120176
54708176
65571176
Stop Event
1×node limit
Counts
48 → 48
Calls
Call 1
Inputs
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
Outputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6) (*.f64 -11/15120 (pow.f64 x 6)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 -143/604800 (pow.f64 x 8)))))
(fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x)))))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x))
(/.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 x (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (neg.f64 (cos.f64 x)))
(-.f64 (/.f64 x (/.f64 (sin.f64 x) (cos.f64 x))) (cos.f64 x))
(-.f64 (*.f64 x (/.f64 (cos.f64 x) (sin.f64 x))) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (neg.f64 (cos.f64 x)))
(-.f64 (/.f64 x (/.f64 (sin.f64 x) (cos.f64 x))) (cos.f64 x))
(-.f64 (*.f64 x (/.f64 (cos.f64 x) (sin.f64 x))) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (neg.f64 (cos.f64 x)))
(-.f64 (/.f64 x (/.f64 (sin.f64 x) (cos.f64 x))) (cos.f64 x))
(-.f64 (*.f64 x (/.f64 (cos.f64 x) (sin.f64 x))) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x))
(/.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 x (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (neg.f64 (cos.f64 x)))
(-.f64 (/.f64 x (/.f64 (sin.f64 x) (cos.f64 x))) (cos.f64 x))
(-.f64 (*.f64 x (/.f64 (cos.f64 x) (sin.f64 x))) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (neg.f64 (cos.f64 x)))
(-.f64 (/.f64 x (/.f64 (sin.f64 x) (cos.f64 x))) (cos.f64 x))
(-.f64 (*.f64 x (/.f64 (cos.f64 x) (sin.f64 x))) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (neg.f64 (cos.f64 x)))
(-.f64 (/.f64 x (/.f64 (sin.f64 x) (cos.f64 x))) (cos.f64 x))
(-.f64 (*.f64 x (/.f64 (cos.f64 x) (sin.f64 x))) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 (cbrt.f64 (*.f64 1/6 x)) (cbrt.f64 x))
0.3b
(*.f64 1/6 x)
✓0.6b
(cbrt.f64 (*.f64 1/6 x))
✓0.7b
(cbrt.f64 x)
Compiler

Compiled 29 to 19 computations (34.5% saved)

series6.0ms (0%)

Counts
3 → 0
Calls

9 calls:

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

rewrite59.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
589×pow1_binary64
546×add-log-exp_binary64
546×log1p-expm1-u_binary64
546×expm1-log1p-u_binary64
531×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0718
113818
2153418
Stop Event
1×node limit
Counts
3 → 52
Calls
Call 1
Inputs
(cbrt.f64 x)
(cbrt.f64 (*.f64 1/6 x))
(*.f64 (cbrt.f64 (*.f64 1/6 x)) (cbrt.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x x)) 1/3) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) 1/3) (pow.f64 (sqrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 x 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/6))) (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/36))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/36))) (cbrt.f64 (cbrt.f64 (*.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/6) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x 1/6) 1/6) (pow.f64 (*.f64 x 1/6) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/36)) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 1/3) (pow.f64 (sqrt.f64 (*.f64 x 1/6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 1/6) 1) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 1/6) (cbrt.f64 (cbrt.f64 (*.f64 x x)))) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 1/6) (pow.f64 x 1/6)) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 1/6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 1/6) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/36)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 x 1/6))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 1/6 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (*.f64 x x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x)))))))))

simplify8.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
52 → 52
Calls
Call 1
Inputs
Outputs

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(cbrt.f64 (*.f64 (/.f64 (-.f64 x (sin.f64 x)) (sin.f64 x)) (cos.f64 x)))
✓0.0b
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 x (sin.f64 x)) (sin.f64 x)) (cos.f64 x))) 3)
2.5b
(-.f64 x (sin.f64 x))
Compiler

Compiled 52 to 10 computations (80.8% saved)

series4.0ms (0%)

Counts
2 → 0
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 x (sin.f64 x)) (sin.f64 x)) (cos.f64 x))) 3)
1.0ms
x
@-inf
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 x (sin.f64 x)) (sin.f64 x)) (cos.f64 x))) 3)
1.0ms
x
@inf
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 x (sin.f64 x)) (sin.f64 x)) (cos.f64 x))) 3)
0.0ms
x
@-inf
(cbrt.f64 (*.f64 (/.f64 (-.f64 x (sin.f64 x)) (sin.f64 x)) (cos.f64 x)))
0.0ms
x
@0
(cbrt.f64 (*.f64 (/.f64 (-.f64 x (sin.f64 x)) (sin.f64 x)) (cos.f64 x)))

rewrite71.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
520×log-prod_binary64
490×prod-diff_binary64
356×pow-prod-down_binary64
266×pow2_binary64
207×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01034
122730
2294724
Stop Event
1×node limit
Counts
2 → 79
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 x (sin.f64 x)) (sin.f64 x)) (cos.f64 x))) 3)
(cbrt.f64 (*.f64 (/.f64 (-.f64 x (sin.f64 x)) (sin.f64 x)) (cos.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (sin.f64 x)) (*.f64 (/.f64 1 (sin.f64 x)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 x (sin.f64 x)) -1) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 2) (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 x (sin.f64 x)) -1)) (*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 x (sin.f64 x)) -1) 2)) (*.f64 (cbrt.f64 (+.f64 (/.f64 x (sin.f64 x)) -1)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (+.f64 (/.f64 x (sin.f64 x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 1/6) (pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 x (sin.f64 x)) -1)) (*.f64 (sqrt.f64 (+.f64 (/.f64 x (sin.f64 x)) -1)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (+.f64 (/.f64 x (sin.f64 x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) (sqrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 x (sin.f64 x)) (cos.f64 x)) (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x (sin.f64 x)) (sqrt.f64 (sin.f64 x))) (/.f64 (cos.f64 x) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x (sin.f64 x)) 1) (/.f64 (cos.f64 x) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (cos.f64 x) (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 5/6) (pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (/.f64 x (sin.f64 x)) -1) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (/.f64 x (sin.f64 x)) -1) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 x) (cbrt.f64 (pow.f64 (+.f64 (/.f64 x (sin.f64 x)) -1) 2))) (cbrt.f64 (+.f64 (/.f64 x (sin.f64 x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 x) (sqrt.f64 (+.f64 (/.f64 x (sin.f64 x)) -1))) (sqrt.f64 (+.f64 (/.f64 x (sin.f64 x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 2) 1) (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 2) (cbrt.f64 (+.f64 (/.f64 x (sin.f64 x)) -1))) (cbrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 x) (/.f64 (sin.f64 x) (-.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sin.f64 x) (*.f64 (-.f64 x (sin.f64 x)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 x (sin.f64 x)) (cos.f64 x)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 x (sin.f64 x)) (cos.f64 x))) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 x (sin.f64 x)) (cos.f64 x)) 1) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 x (sin.f64 x)) (cos.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 x (sin.f64 x)) (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (-.f64 x (sin.f64 x))) (cos.f64 x)) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 x) (neg.f64 (-.f64 x (sin.f64 x)))) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 x (sin.f64 x)) -1)) (cbrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (+.f64 (/.f64 x (sin.f64 x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 1/6) (pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 (-.f64 x (sin.f64 x)) (cos.f64 x))) (cbrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 2)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))) 1))))))

simplify9.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
79 → 79
Calls
Call 1
Inputs
Outputs

eval107.0ms (0.5%)

Compiler

Compiled 5268 to 2702 computations (48.7% saved)

prune66.0ms (0.3%)

Pruning

27 alts after pruning (15 fresh and 12 done)

PrunedKeptTotal
New3598367
Fresh4711
Picked011
Done11112
Total36427391
Error
0b
Counts
391 → 27
Alt Table
Click to see full alt table
StatusErrorProgram
✓28.4b
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)
✓0.7b
(*.f64 1/6 (*.f64 x x))
28.0b
(*.f64 (+.f64 (sqrt.f64 (/.f64 x (tan.f64 x))) (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (/.f64 x (tan.f64 x))) (sqrt.f64 (cos.f64 x))))
✓28.0b
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 3)
✓0.7b
(*.f64 x (*.f64 1/6 x))
✓28.1b
(/.f64 (log.f64 (exp.f64 (-.f64 x (sin.f64 x)))) (tan.f64 x))
33.7b
(*.f64 (*.f64 (*.f64 1/6 x) (sqrt.f64 x)) (sqrt.f64 x))
1.3b
(pow.f64 (/.f64 (*.f64 x (cbrt.f64 1/6)) (cbrt.f64 (tan.f64 x))) 3)
✓28.0b
(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))
✓28.0b
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 x (sin.f64 x)) (sin.f64 x)) (cos.f64 x))) 3)
62.6b
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 (-.f64 x (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))) (sin.f64 x)) (cos.f64 x))) 3)
0.6b
(*.f64 x (*.f64 x (exp.f64 (log.f64 (fma.f64 (*.f64 x x) -23/360 1/6)))))
16.9b
(*.f64 x (sqrt.f64 (*.f64 (*.f64 x x) 1/36)))
0.7b
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
1.2b
(*.f64 x (*.f64 x (-.f64 (+.f64 1 (fma.f64 (*.f64 x x) -23/360 1/6)) 1)))
27.9b
(*.f64 x (-.f64 (+.f64 1 (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6))) 1))
61.1b
(fma.f64 x (/.f64 1 (tan.f64 x)) (neg.f64 (cos.f64 x)))
✓1.4b
(pow.f64 (*.f64 (cbrt.f64 (*.f64 1/6 x)) (cbrt.f64 x)) 3)
0.5b
(*.f64 x (*.f64 x (+.f64 (*.f64 x (*.f64 x -23/360)) 1/6)))
✓12.1b
(/.f64 (*.f64 1/6 (*.f64 (*.f64 x x) x)) (tan.f64 x))
1.2b
(*.f64 (/.f64 (pow.f64 (*.f64 x (cbrt.f64 1/6)) 2) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (*.f64 x (cbrt.f64 1/6)) (cbrt.f64 (tan.f64 x))))
28.0b
(*.f64 (+.f64 (/.f64 x (sin.f64 x)) -1) (cos.f64 x))
✓0.5b
(+.f64 (+.f64 0 (*.f64 1/6 (*.f64 x x))) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
✓28.0b
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
12.1b
(pow.f64 (*.f64 6 (/.f64 (tan.f64 x) (pow.f64 x 3))) -1)
12.1b
(*.f64 (/.f64 1/6 (tan.f64 x)) (pow.f64 x 3))
✓1.2b
(pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)
Compiler

Compiled 322 to 222 computations (31.1% saved)

regimes45.0ms (0.2%)

Counts
41 → 1
Calls
Call 1
Inputs
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (*.f64 x x))
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)
(*.f64 x (*.f64 x (+.f64 (*.f64 x (*.f64 x -23/360)) 1/6)))
(*.f64 x (sqrt.f64 (*.f64 (*.f64 x x) 1/36)))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6)))
(/.f64 (*.f64 1/6 (*.f64 (*.f64 x x) x)) (tan.f64 x))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6))
(+.f64 (+.f64 0 (*.f64 1/6 (*.f64 x x))) (*.f64 -23/360 (pow.f64 x 4)))
(*.f64 x (*.f64 x (-.f64 (+.f64 1 (fma.f64 (*.f64 x x) -23/360 1/6)) 1)))
(*.f64 x (-.f64 (+.f64 1 (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6))) 1))
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(*.f64 (/.f64 1/6 (tan.f64 x)) (pow.f64 x 3))
(pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)
(*.f64 (/.f64 1/6 (tan.f64 x)) (pow.f64 x 3))
(/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))
(*.f64 (+.f64 (/.f64 x (sin.f64 x)) -1) (cos.f64 x))
(*.f64 (*.f64 (*.f64 1/6 x) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))
(+.f64 (+.f64 0 (*.f64 1/6 (*.f64 x x))) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 x (/.f64 1 (tan.f64 x)) (neg.f64 (cos.f64 x)))
(fma.f64 x (/.f64 1 (tan.f64 x)) (neg.f64 (cos.f64 x)))
(pow.f64 (*.f64 (cbrt.f64 (*.f64 1/6 x)) (cbrt.f64 x)) 3)
(pow.f64 (*.f64 6 (/.f64 (tan.f64 x) (pow.f64 x 3))) -1)
(*.f64 x (*.f64 x (exp.f64 (log.f64 (fma.f64 (*.f64 x x) -23/360 1/6)))))
(/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -11/15120 (pow.f64 x 6)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(/.f64 (log.f64 (exp.f64 (-.f64 x (sin.f64 x)))) (tan.f64 x))
(pow.f64 (/.f64 (*.f64 x (cbrt.f64 1/6)) (cbrt.f64 (tan.f64 x))) 3)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 3)
(pow.f64 (/.f64 (*.f64 x (cbrt.f64 1/6)) (cbrt.f64 (tan.f64 x))) 3)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 3)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 x (sin.f64 x)) (sin.f64 x)) (cos.f64 x))) 3)
(*.f64 (+.f64 (sqrt.f64 (/.f64 x (tan.f64 x))) (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (/.f64 x (tan.f64 x))) (sqrt.f64 (cos.f64 x))))
(*.f64 (/.f64 (pow.f64 (*.f64 x (cbrt.f64 1/6)) 2) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (*.f64 x (cbrt.f64 1/6)) (cbrt.f64 (tan.f64 x))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 1/6) (pow.f64 x 3/2)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (*.f64 (sqrt.f64 1/6) (pow.f64 x 3/2)) (cbrt.f64 (tan.f64 x))))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 (-.f64 x (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))) (sin.f64 x)) (cos.f64 x))) 3)
(+.f64 (fma.f64 (pow.f64 (tan.f64 x) -1/2) (/.f64 x (sqrt.f64 (tan.f64 x))) (neg.f64 (*.f64 (/.f64 1 (tan.f64 x)) (sin.f64 x)))) (fma.f64 (neg.f64 (/.f64 1 (tan.f64 x))) (sin.f64 x) (*.f64 (/.f64 1 (tan.f64 x)) (sin.f64 x))))
Outputs
(+.f64 (+.f64 0 (*.f64 1/6 (*.f64 x x))) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
Calls

3 calls:

21.0ms
x
5.0ms
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
4.0ms
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Results
ErrorSegmentsBranch
0.5b1x
0.5b1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
0.5b1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Compiler

Compiled 504 to 278 computations (44.8% saved)

regimes22.0ms (0.1%)

Counts
21 → 1
Calls
Call 1
Inputs
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (*.f64 x x))
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)
(*.f64 x (*.f64 x (+.f64 (*.f64 x (*.f64 x -23/360)) 1/6)))
(*.f64 x (sqrt.f64 (*.f64 (*.f64 x x) 1/36)))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6)))
(/.f64 (*.f64 1/6 (*.f64 (*.f64 x x) x)) (tan.f64 x))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6))
(+.f64 (+.f64 0 (*.f64 1/6 (*.f64 x x))) (*.f64 -23/360 (pow.f64 x 4)))
(*.f64 x (*.f64 x (-.f64 (+.f64 1 (fma.f64 (*.f64 x x) -23/360 1/6)) 1)))
(*.f64 x (-.f64 (+.f64 1 (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6))) 1))
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(*.f64 (/.f64 1/6 (tan.f64 x)) (pow.f64 x 3))
(pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)
(*.f64 (/.f64 1/6 (tan.f64 x)) (pow.f64 x 3))
(/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))
(*.f64 (+.f64 (/.f64 x (sin.f64 x)) -1) (cos.f64 x))
(*.f64 (*.f64 (*.f64 1/6 x) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))
Outputs
(*.f64 x (*.f64 x (+.f64 (*.f64 x (*.f64 x -23/360)) 1/6)))
Calls

2 calls:

11.0ms
x
4.0ms
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Results
ErrorSegmentsBranch
0.5b1x
0.5b1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Compiler

Compiled 199 to 114 computations (42.7% saved)

regimes6.0ms (0%)

Accuracy

Total -27.8b remaining (-3995.1%)

Threshold costs -27.8b (-3995.1%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (*.f64 x x))
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)
Outputs
(*.f64 x (*.f64 1/6 x))
Calls

1 calls:

5.0ms
x
Results
ErrorSegmentsBranch
0.7b1x
Compiler

Compiled 22 to 14 computations (36.4% saved)

simplify5.0ms (0%)

Algorithm
1×egg-herbie
Rules
9×*-commutative_binary64
4×+-commutative_binary64
1×+-lft-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02448
13848
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(+.f64 (+.f64 0 (*.f64 1/6 (*.f64 x x))) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(*.f64 x (*.f64 x (+.f64 (*.f64 x (*.f64 x -23/360)) 1/6)))
(*.f64 x (*.f64 1/6 x))
Outputs
(+.f64 (+.f64 0 (*.f64 1/6 (*.f64 x x))) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(+.f64 (*.f64 1/6 (*.f64 x x)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(*.f64 x (*.f64 x (+.f64 (*.f64 x (*.f64 x -23/360)) 1/6)))
(*.f64 x (*.f64 x (+.f64 1/6 (*.f64 x (*.f64 x -23/360)))))
(*.f64 x (*.f64 1/6 x))
Compiler

Compiled 36 to 26 computations (27.8% saved)

soundness0.0ms (0%)

end31.0ms (0.1%)

Compiler

Compiled 34 to 24 computations (29.4% saved)

Profiling

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