Details

Time bar (total: 21.2s)

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)

sample15.9s (74.9%)

Results
13.2s4314×body2048valid
2.2s2069×body1024valid
360.0ms1028×body512valid
160.0ms845×body256valid
Bogosity

preprocess78.0ms (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)

simplify76.0ms (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
31.0b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶31.0b
(/.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))
✓2.3b
(-.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))

rewrite65.0ms (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))))))))

simplify98.0ms (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))))

eval64.0ms (0.3%)

Compiler

Compiled 1218 to 470 computations (61.4% saved)

prune44.0ms (0.2%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New801191
Fresh000
Picked011
Done000
Total801292
Error
0.1b
Counts
92 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
12.2b
(/.f64 (+.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))))) (tan.f64 x))
31.0b
(*.f64 (/.f64 1 (tan.f64 x)) (-.f64 x (sin.f64 x)))
▶0.2b
(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))))
▶12.3b
(/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))
0.2b
(+.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)))))
▶12.4b
(/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))
0.2b
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -11/15120 (pow.f64 x 6)))
▶31.0b
(pow.f64 (pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 3) 1/3)
0.3b
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6))
✓31.0b
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
12.2b
(/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5)))) (tan.f64 x))
▶0.5b
(*.f64 1/6 (*.f64 x x))
Compiler

Compiled 352 to 261 computations (25.9% saved)

localize36.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 -143/604800 (pow.f64 x 8))
✓0.2b
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -143/604800 (pow.f64 x 8)))
Compiler

Compiled 63 to 39 computations (38.1% saved)

series4.0ms (0%)

Counts
2 → 12
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -143/604800 (pow.f64 x 8)))
1.0ms
x
@0
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -143/604800 (pow.f64 x 8)))
1.0ms
x
@0
(*.f64 -143/604800 (pow.f64 x 8))
0.0ms
x
@-inf
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -143/604800 (pow.f64 x 8)))
0.0ms
x
@inf
(*.f64 -143/604800 (pow.f64 x 8))

rewrite76.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
946×pow1_binary64
886×add-log-exp_binary64
886×log1p-expm1-u_binary64
886×expm1-log1p-u_binary64
868×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01128
123028
2247728
Stop Event
1×node limit
Counts
2 → 32
Calls
Call 1
Inputs
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -143/604800 (pow.f64 x 8)))
(*.f64 -143/604800 (pow.f64 x 8))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -143/604800 (pow.f64 x 8)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6)) (*.f64 -143/604800 (pow.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6)) 1) (*.f64 -143/604800 (pow.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -143/604800 (pow.f64 x 8)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -143/604800 (pow.f64 x 8))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -143/604800 (pow.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -143/604800 (pow.f64 x 8)))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -143/604800 (pow.f64 x 8)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -143/604800 (pow.f64 x 8)))) 2) (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -143/604800 (pow.f64 x 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -143/604800 (pow.f64 x 8)))) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -143/604800 (pow.f64 x 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6)) 3) (pow.f64 (*.f64 -143/604800 (pow.f64 x 8)) 3)) (+.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6))) (-.f64 (*.f64 (pow.f64 x 16) 20449/365783040000) (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6)) (*.f64 -143/604800 (pow.f64 x 8))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6))) (*.f64 (pow.f64 x 16) 20449/365783040000)) (-.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6)) (*.f64 -143/604800 (pow.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -143/604800 (pow.f64 x 8))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -143/604800 (pow.f64 x 8))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -143/604800 (pow.f64 x 8)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -143/604800 (pow.f64 x 8)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -143/604800 (pow.f64 x 8))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -143/604800 (pow.f64 x 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -143/604800 (pow.f64 x 8))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -143/604800 (pow.f64 x 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -143/604800 (pow.f64 x 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -143/604800 (pow.f64 x 8)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -143/604800 (pow.f64 x 8))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -143/604800 (pow.f64 x 8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -143/604800 (pow.f64 x 8)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -143/604800 (pow.f64 x 8))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 4) (sqrt.f64 -143/604800)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 16) 20449/365783040000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -143/604800) (pow.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -143/604800 (pow.f64 x 8)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -143/604800 (pow.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -143/604800 (pow.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -143/604800 (pow.f64 x 8))))))))

simplify123.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1461×fma-def_binary64
842×unswap-sqr_binary64
566×sqr-pow_binary64
506×*-commutative_binary64
354×distribute-lft-out_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017189
137189
280189
3249189
41069189
52347189
64692189
74899189
85277189
95646189
106085189
116601189
127890189
Stop Event
1×node limit
Counts
44 → 41
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 -143/604800 (pow.f64 x 8)) (*.f64 -23/360 (pow.f64 x 4))))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (*.f64 -23/360 (pow.f64 x 4))))
(*.f64 -143/604800 (pow.f64 x 8))
(+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (*.f64 -23/360 (pow.f64 x 4)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (*.f64 -23/360 (pow.f64 x 4))))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (*.f64 -23/360 (pow.f64 x 4))))
(*.f64 -143/604800 (pow.f64 x 8))
(+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (*.f64 -23/360 (pow.f64 x 4)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (*.f64 -23/360 (pow.f64 x 4))))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (*.f64 -23/360 (pow.f64 x 4))))
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 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -143/604800 (pow.f64 x 8))))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 6) 1/6)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -143/604800 (pow.f64 x 8))))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 6) 1/6)))
(*.f64 -143/604800 (pow.f64 x 8))
(+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 -143/604800 (pow.f64 x 8)))
(*.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 4) -143/604800 -23/360))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -143/604800 (pow.f64 x 8))))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 6) 1/6)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -143/604800 (pow.f64 x 8))))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 6) 1/6)))
(*.f64 -143/604800 (pow.f64 x 8))
(+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 -143/604800 (pow.f64 x 8)))
(*.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 4) -143/604800 -23/360))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -143/604800 (pow.f64 x 8))))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 6) 1/6)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -143/604800 (pow.f64 x 8))))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 6) 1/6)))

localize4.0ms (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)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite57.0ms (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))))))))

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
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))

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 1/6 (pow.f64 x 3))
✓12.1b
(/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))
Compiler

Compiled 22 to 15 computations (31.8% saved)

series5.0ms (0%)

Counts
2 → 12
Calls

6 calls:

TimeVariablePointExpression
1.0ms
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))
0.0ms
x
@-inf
(*.f64 1/6 (pow.f64 x 3))
0.0ms
x
@inf
(*.f64 1/6 (pow.f64 x 3))

rewrite100.0ms (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
0819
117919
2220019
Stop Event
1×node limit
Counts
2 → 53
Calls
Call 1
Inputs
(/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))
(*.f64 1/6 (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))))))))

simplify55.0ms (0.3%)

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
65 → 63
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)))

localize41.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 -1/120 (pow.f64 x 5))
0.1b
(*.f64 1/6 (pow.f64 x 3))
✓12.1b
(/.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)

series10.0ms (0%)

Counts
2 → 12
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@0
(*.f64 -1/120 (pow.f64 x 5))
2.0ms
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 (+.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
@0
(/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))

rewrite107.0ms (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
01326
129526
2363326
Stop Event
1×node limit
Counts
2 → 57
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))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) (/.f64 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) 2)) (*.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5)))) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))) 2) (cbrt.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5)))) (*.f64 (sqrt.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5)))) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))) (sqrt.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5)))) (/.f64 1 (neg.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (tan.f64 x)) (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5)))) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5)))) 1) (/.f64 (sqrt.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5)))) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) -2) (/.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) (cbrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) 2)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5)))) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (sqrt.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5)))) (cbrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (tan.f64 x) -1/2) (/.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) (sqrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) 2)) (sqrt.f64 (tan.f64 x))) (/.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5)))) (sqrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) (sin.f64 x)) (cos.f64 x))))) (#(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))) (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (tan.f64 x) (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) 3) (pow.f64 (tan.f64 x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (tan.f64 x) (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5)))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) (neg.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) 3) (pow.f64 (tan.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/120 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 5)) -1/120)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 5)) -1/120))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 5)) -1/120))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 5)) -1/120))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/120 (pow.f64 x 5)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/120 (pow.f64 x 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 10) 1/14400) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/120 (pow.f64 x 5))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 -1/120) (pow.f64 x 5/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 15) -1/1728000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 10) 1/14400))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x 5)) -1/120))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/120 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 15) -1/1728000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/120 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/120 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 5 (log.f64 x) (log.f64 -1/120)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 5 (log.f64 x) (log.f64 -1/120)) 1))))))

simplify55.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
772×unswap-sqr_binary64
742×distribute-lft-out_binary64
719×associate-*l*_binary64
627×distribute-rgt-out_binary64
604×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
037308
192308
2236308
3809260
44306260
Stop Event
1×node limit
Counts
69 → 69
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))))
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)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6))
(*.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 (*.f64 x x) -23/360 1/6) (*.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)))))
(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 -23/360 (pow.f64 x 4) (fma.f64 -1/1080 (pow.f64 x 6) (*.f64 -19/113400 (pow.f64 x 8)))))
(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)))))
(*.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 (pow.f64 x 5) (*.f64 -1/120 (cos.f64 x))) (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))))
(fma.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))) (*.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 (pow.f64 x 3) (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 (*.f64 (pow.f64 x 5) (*.f64 -1/120 (cos.f64 x))) (sin.f64 x)))
(*.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 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 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))) (*.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 (pow.f64 x 3) (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 (*.f64 (pow.f64 x 5) (*.f64 -1/120 (cos.f64 x))) (sin.f64 x)))
(*.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 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 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))) (*.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 (pow.f64 x 3) (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 (*.f64 (pow.f64 x 5) (*.f64 -1/120 (cos.f64 x))) (sin.f64 x)))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (*.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 (pow.f64 x 5) (*.f64 -1/120 (cos.f64 x))) (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))))
(fma.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))) (*.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 (pow.f64 x 3) (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 (*.f64 (pow.f64 x 5) (*.f64 -1/120 (cos.f64 x))) (sin.f64 x)))
(*.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 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 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))) (*.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 (pow.f64 x 3) (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 (*.f64 (pow.f64 x 5) (*.f64 -1/120 (cos.f64 x))) (sin.f64 x)))
(*.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 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 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))) (*.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 (pow.f64 x 3) (/.f64 (cos.f64 x) (sin.f64 x))) (/.f64 (*.f64 (pow.f64 x 5) (*.f64 -1/120 (cos.f64 x))) (sin.f64 x)))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (*.f64 -1/120 (pow.f64 x 5)) (*.f64 1/6 (pow.f64 x 3))))

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
✓0.0b
(pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 3)
✓0.2b
(pow.f64 (pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 3) 1/3)
2.3b
(-.f64 x (sin.f64 x))
Compiler

Compiled 39 to 13 computations (66.7% saved)

series33.0ms (0.2%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
10.0ms
x
@-inf
(pow.f64 (pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 3) 1/3)
9.0ms
x
@inf
(pow.f64 (pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 3) 1/3)
8.0ms
x
@0
(pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 3)
3.0ms
x
@0
(pow.f64 (pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 3) 1/3)
1.0ms
x
@inf
(pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 3)

rewrite162.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
591×prod-diff_binary64
496×log-prod_binary64
310×pow-prod-down_binary64
271×pow2_binary64
199×egg-rr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01025
124025
2300525
Stop Event
1×node limit
Counts
2 → 235
Calls
Call 1
Inputs
(pow.f64 (pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 3) 1/3)
(pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 3)
Outputs
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simplify97.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
663×distribute-rgt-in_binary64
656×distribute-lft-in_binary64
281×associate-/r/_binary64
189×cancel-sign-sub-inv_binary64
185×associate-/l/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01831747
16351712
227651534
Stop Event
1×node limit
Counts
259 → 277
Calls
Call 1
Inputs
(*.f64 (cbrt.f64 1/216) (pow.f64 x 2))
(+.f64 (*.f64 (cbrt.f64 1/216) (pow.f64 x 2)) (*.f64 -23/12960 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 1/216) 2))))
(+.f64 (*.f64 (cbrt.f64 1/216) (pow.f64 x 2)) (+.f64 (*.f64 -23/12960 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 1/216) 2))) (*.f64 -11/544320 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 1/216) 2)))))
(+.f64 (*.f64 (cbrt.f64 1/216) (pow.f64 x 2)) (+.f64 (*.f64 -23/12960 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 1/216) 2))) (+.f64 (*.f64 -11/544320 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 1/216) 2))) (*.f64 1/3 (/.f64 (*.f64 (-.f64 (*.f64 12167/2176782336000 (/.f64 1 (pow.f64 (cbrt.f64 1/216) 6))) 22901/81648000) (pow.f64 x 8)) (pow.f64 (cbrt.f64 1/216) 2))))))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) 1/3) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2))) (*.f64 -2 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2)))))) (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) 1/3) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2))) (*.f64 -2 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2)))))) (+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 1/3 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (sin.f64 x)) (*.f64 2 (/.f64 (pow.f64 (cos.f64 x) 3) (sin.f64 x)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (sin.f64 x)) (cos.f64 x)) 1/3) (pow.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2))) (*.f64 -2 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2)))) 2)))) (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) x)))))
(+.f64 (*.f64 1/3 (/.f64 (*.f64 (-.f64 (*.f64 -1 (pow.f64 (cos.f64 x) 3)) (+.f64 (*.f64 1/27 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2))) (*.f64 -2 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2)))) 3)) (pow.f64 (cos.f64 x) 2))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 x) 5)) (pow.f64 (cos.f64 x) 5)) 1/3) (*.f64 (-.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (sin.f64 x)) (*.f64 2 (/.f64 (pow.f64 (cos.f64 x) 3) (sin.f64 x)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (sin.f64 x)) (cos.f64 x)) 1/3) (pow.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2))) (*.f64 -2 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2)))) 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2))) (*.f64 -2 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2))))))))) (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) 1/3) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2))) (*.f64 -2 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2)))))) (+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 1/3 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (sin.f64 x)) (*.f64 2 (/.f64 (pow.f64 (cos.f64 x) 3) (sin.f64 x)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (sin.f64 x)) (cos.f64 x)) 1/3) (pow.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2))) (*.f64 -2 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2)))) 2)))) (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) x))))))
(*.f64 -1 (/.f64 (*.f64 (cos.f64 x) (*.f64 (cbrt.f64 -1) x)) (sin.f64 x)))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cbrt.f64 -1) 2))) 1/3) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2))) (*.f64 -1 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2)))))) (*.f64 -1 (/.f64 (*.f64 (cos.f64 x) (*.f64 (cbrt.f64 -1) x)) (sin.f64 x))))
(+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (cos.f64 x) 3) (sin.f64 x))) (*.f64 -2 (/.f64 (pow.f64 (cos.f64 x) 3) (sin.f64 x)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (sin.f64 x)) (*.f64 (cos.f64 x) (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2))) (*.f64 -1 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2)))) 2))))) (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (cbrt.f64 -1) 2) x)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cbrt.f64 -1) 2))) 1/3) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2))) (*.f64 -1 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2)))))) (*.f64 -1 (/.f64 (*.f64 (cos.f64 x) (*.f64 (cbrt.f64 -1) x)) (sin.f64 x)))))
(+.f64 (*.f64 -1/3 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (cos.f64 x) 3) (sin.f64 x))) (*.f64 -2 (/.f64 (pow.f64 (cos.f64 x) 3) (sin.f64 x)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (sin.f64 x)) (*.f64 (cos.f64 x) (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2))) (*.f64 -1 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2)))) 2))))) (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (cbrt.f64 -1) 2) x)))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (*.f64 -1 (pow.f64 (cos.f64 x) 3)) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 x) 5)) (*.f64 (pow.f64 (cos.f64 x) 5) (pow.f64 (cbrt.f64 -1) 5))) 1/3) (*.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2))) (*.f64 -1 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2)))) (-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (cos.f64 x) 3) (sin.f64 x))) (*.f64 -2 (/.f64 (pow.f64 (cos.f64 x) 3) (sin.f64 x)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (sin.f64 x)) (*.f64 (cos.f64 x) (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2))) (*.f64 -1 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2)))) 2))))))) (+.f64 (*.f64 1/27 (/.f64 (*.f64 (pow.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2))) (*.f64 -1 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2)))) 3) (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 4/9 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 x) 5)) (*.f64 (pow.f64 (cos.f64 x) 5) (pow.f64 (cbrt.f64 -1) 5))) 1/3) (*.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2))) (*.f64 -1 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2)))) (-.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (cos.f64 x) 3) (sin.f64 x))) (*.f64 -2 (/.f64 (pow.f64 (cos.f64 x) 3) (sin.f64 x)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (sin.f64 x)) (*.f64 (cos.f64 x) (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2))) (*.f64 -1 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2)))) 2))))))))))) (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 2))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cbrt.f64 -1) 2))) 1/3) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2))) (*.f64 -1 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2)))))) (*.f64 -1 (/.f64 (*.f64 (cos.f64 x) (*.f64 (cbrt.f64 -1) x)) (sin.f64 x))))))
(*.f64 1/216 (pow.f64 x 6))
(+.f64 (*.f64 1/216 (pow.f64 x 6)) (*.f64 -23/4320 (pow.f64 x 8)))
(+.f64 (*.f64 1/216 (pow.f64 x 6)) (+.f64 (*.f64 -23/4320 (pow.f64 x 8)) (*.f64 3593/1814400 (pow.f64 x 10))))
(+.f64 (*.f64 1/216 (pow.f64 x 6)) (+.f64 (*.f64 -9553/40824000 (pow.f64 x 12)) (+.f64 (*.f64 -23/4320 (pow.f64 x 8)) (*.f64 3593/1814400 (pow.f64 x 10)))))
(/.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3)) (pow.f64 (sin.f64 x) 3))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2))) (*.f64 -2 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2)))) (pow.f64 x 2)) (/.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3)) (pow.f64 (sin.f64 x) 3)))
(+.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (sin.f64 x)) (*.f64 2 (/.f64 (pow.f64 (cos.f64 x) 3) (sin.f64 x)))) x) (+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2))) (*.f64 -2 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2)))) (pow.f64 x 2)) (/.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3)) (pow.f64 (sin.f64 x) 3))))
(+.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (sin.f64 x)) (*.f64 2 (/.f64 (pow.f64 (cos.f64 x) 3) (sin.f64 x)))) x) (+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2))) (*.f64 -2 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2)))) (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 (cos.f64 x) 3)) (/.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3)) (pow.f64 (sin.f64 x) 3)))))
(/.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3)) (pow.f64 (sin.f64 x) 3))
(+.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3)) (pow.f64 (sin.f64 x) 3)) (*.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2))) (*.f64 -1 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2)))) (pow.f64 x 2)))
(+.f64 (*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 (/.f64 (pow.f64 (cos.f64 x) 3) (sin.f64 x))) (*.f64 -2 (/.f64 (pow.f64 (cos.f64 x) 3) (sin.f64 x)))))) (+.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3)) (pow.f64 (sin.f64 x) 3)) (*.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2))) (*.f64 -1 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2)))) (pow.f64 x 2))))
(+.f64 (*.f64 -1 (pow.f64 (cos.f64 x) 3)) (+.f64 (*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 (/.f64 (pow.f64 (cos.f64 x) 3) (sin.f64 x))) (*.f64 -2 (/.f64 (pow.f64 (cos.f64 x) 3) (sin.f64 x)))))) (+.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3)) (pow.f64 (sin.f64 x) 3)) (*.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2))) (*.f64 -1 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2)))) (pow.f64 x 2)))))
Outputs
(*.f64 (cbrt.f64 1/216) (pow.f64 x 2))
(*.f64 (cbrt.f64 1/216) (*.f64 x x))
(+.f64 (*.f64 (cbrt.f64 1/216) (pow.f64 x 2)) (*.f64 -23/12960 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 1/216) 2))))
(fma.f64 (cbrt.f64 1/216) (*.f64 x x) (*.f64 -23/12960 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 1/216) 2))))
(fma.f64 -23/12960 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 1/216) 2)) (*.f64 (cbrt.f64 1/216) (*.f64 x x)))
(+.f64 (*.f64 (cbrt.f64 1/216) (pow.f64 x 2)) (+.f64 (*.f64 -23/12960 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 1/216) 2))) (*.f64 -11/544320 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 1/216) 2)))))
(fma.f64 (cbrt.f64 1/216) (*.f64 x x) (fma.f64 -23/12960 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 1/216) 2)) (*.f64 -11/544320 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 1/216) 2)))))
(fma.f64 (cbrt.f64 1/216) (*.f64 x x) (fma.f64 -23/12960 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 1/216) 2)) (*.f64 (/.f64 -11/544320 (pow.f64 (cbrt.f64 1/216) 2)) (pow.f64 x 6))))
(+.f64 (*.f64 (cbrt.f64 1/216) (pow.f64 x 2)) (+.f64 (*.f64 -23/12960 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 1/216) 2))) (+.f64 (*.f64 -11/544320 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 1/216) 2))) (*.f64 1/3 (/.f64 (*.f64 (-.f64 (*.f64 12167/2176782336000 (/.f64 1 (pow.f64 (cbrt.f64 1/216) 6))) 22901/81648000) (pow.f64 x 8)) (pow.f64 (cbrt.f64 1/216) 2))))))
(fma.f64 (cbrt.f64 1/216) (*.f64 x x) (fma.f64 -23/12960 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 1/216) 2)) (fma.f64 -11/544320 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 1/216) 2)) (*.f64 1/3 (/.f64 (+.f64 (/.f64 12167/2176782336000 (pow.f64 (cbrt.f64 1/216) 6)) -22901/81648000) (/.f64 (pow.f64 (cbrt.f64 1/216) 2) (pow.f64 x 8)))))))
(fma.f64 (cbrt.f64 1/216) (*.f64 x x) (fma.f64 -23/12960 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 1/216) 2)) (fma.f64 -11/544320 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 1/216) 2)) (/.f64 (*.f64 -143/21772800 (pow.f64 x 8)) (pow.f64 (cbrt.f64 1/216) 2)))))
(fma.f64 (cbrt.f64 1/216) (*.f64 x x) (fma.f64 -23/12960 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 1/216) 2)) (fma.f64 -11/544320 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 1/216) 2)) (*.f64 (/.f64 -143/21772800 (pow.f64 (cbrt.f64 1/216) 2)) (pow.f64 x 8)))))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x)
(*.f64 x (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) 1/3) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2))) (*.f64 -2 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2)))))) (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)))
(fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2)) -3)) (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)))
(fma.f64 (*.f64 1/3 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2)) -3) (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x))
(fma.f64 (*.f64 1/3 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (*.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2)) -3) (*.f64 x (/.f64 (cos.f64 x) (sin.f64 x))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2)) 1/3) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2))) (*.f64 -2 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2)))))) (+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 1/3 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (sin.f64 x)) (*.f64 2 (/.f64 (pow.f64 (cos.f64 x) 3) (sin.f64 x)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 1 (sin.f64 x)) (cos.f64 x)) 1/3) (pow.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2))) (*.f64 -2 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2)))) 2)))) (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) x)))))
(+.f64 (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2)) -3)) (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x))) (*.f64 1/3 (*.f64 (/.f64 (-.f64 (*.f64 3 (/.f64 (pow.f64 (cos.f64 x) 3) (sin.f64 x))) (*.f64 1/3 (*.f64 (cbrt.f64 (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2)) -3) 2)))) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) x))))
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(fma.f64 -1/3 (*.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (sin.f64 x)) -3 (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2)) -3) 2) (cbrt.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (cbrt.f64 -1))))))) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (pow.f64 (cbrt.f64 -1) 2)))) (-.f64 (*.f64 1/3 (+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (-.f64 (neg.f64 (pow.f64 (cos.f64 x) 3)) (fma.f64 2/9 (*.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2)) -3) (*.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (sin.f64 x)) -3 (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2)) -3) 2) (cbrt.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (cbrt.f64 -1))))))) (cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 5) (*.f64 (pow.f64 (cos.f64 x) 5) (pow.f64 (cbrt.f64 -1) 5)))))) (fma.f64 1/27 (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2)) 3) -27) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cbrt.f64 -1) 2))) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2)) -3) (*.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (sin.f64 x)) -3 (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2)) -3) 2) (cbrt.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (cbrt.f64 -1))))))) (cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 5) (*.f64 (pow.f64 (cos.f64 x) 5) (pow.f64 (cbrt.f64 -1) 5)))))) 4/9)))) (*.f64 x (*.f64 x (pow.f64 (cbrt.f64 -1) 2))))) (*.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2)) -3) (cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cbrt.f64 -1) 2))))))) (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (*.f64 x (cbrt.f64 -1)))))
(+.f64 (fma.f64 1/3 (*.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2)) -3) (cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (cbrt.f64 -1) 2))))) (*.f64 (/.f64 (*.f64 (cos.f64 x) (cbrt.f64 -1)) (sin.f64 x)) (neg.f64 x))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 (*.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (sin.f64 x)) -3 (*.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2)) -3) 2) (*.f64 -1/3 (cbrt.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (cbrt.f64 -1))))))) (*.f64 x (pow.f64 (cbrt.f64 -1) 2))) -1/3) (*.f64 (/.f64 (-.f64 (neg.f64 (pow.f64 (cos.f64 x) 3)) (+.f64 (*.f64 1/27 (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2)) 3) -27) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2)) -3) (*.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (sin.f64 x)) -3 (*.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2)) -3) 2) (*.f64 -1/3 (cbrt.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (cbrt.f64 -1))))))) (cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 5) (*.f64 (pow.f64 (cos.f64 x) 5) (pow.f64 (cbrt.f64 -1) 5)))))) 2/3))) (*.f64 x (*.f64 x (pow.f64 (cbrt.f64 -1) 2)))) 1/3))))
(*.f64 1/216 (pow.f64 x 6))
(+.f64 (*.f64 1/216 (pow.f64 x 6)) (*.f64 -23/4320 (pow.f64 x 8)))
(fma.f64 1/216 (pow.f64 x 6) (*.f64 (pow.f64 x 8) -23/4320))
(+.f64 (*.f64 1/216 (pow.f64 x 6)) (+.f64 (*.f64 -23/4320 (pow.f64 x 8)) (*.f64 3593/1814400 (pow.f64 x 10))))
(fma.f64 1/216 (pow.f64 x 6) (fma.f64 -23/4320 (pow.f64 x 8) (*.f64 3593/1814400 (pow.f64 x 10))))
(fma.f64 1/216 (pow.f64 x 6) (fma.f64 (pow.f64 x 8) -23/4320 (*.f64 3593/1814400 (pow.f64 x 10))))
(+.f64 (*.f64 1/216 (pow.f64 x 6)) (+.f64 (*.f64 -9553/40824000 (pow.f64 x 12)) (+.f64 (*.f64 -23/4320 (pow.f64 x 8)) (*.f64 3593/1814400 (pow.f64 x 10)))))
(fma.f64 1/216 (pow.f64 x 6) (fma.f64 -9553/40824000 (pow.f64 x 12) (fma.f64 -23/4320 (pow.f64 x 8) (*.f64 3593/1814400 (pow.f64 x 10)))))
(fma.f64 1/216 (pow.f64 x 6) (fma.f64 -9553/40824000 (pow.f64 x 12) (fma.f64 (pow.f64 x 8) -23/4320 (*.f64 3593/1814400 (pow.f64 x 10)))))
(/.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3)) (pow.f64 (sin.f64 x) 3))
(/.f64 (pow.f64 (cos.f64 x) 3) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))
(*.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 3)) (pow.f64 x 3))
(/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (/.f64 (sin.f64 x) x) 3))
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(fma.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2)) -3) (*.f64 x x) (/.f64 (pow.f64 (cos.f64 x) 3) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))))
(fma.f64 (*.f64 x x) (*.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2)) -3) (*.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 3)) (pow.f64 x 3)))
(*.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2)) (+.f64 (/.f64 (pow.f64 x 3) (sin.f64 x)) (*.f64 -3 (*.f64 x x))))
(+.f64 (*.f64 (+.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (sin.f64 x)) (*.f64 2 (/.f64 (pow.f64 (cos.f64 x) 3) (sin.f64 x)))) x) (+.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2))) (*.f64 -2 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2)))) (pow.f64 x 2)) (/.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3)) (pow.f64 (sin.f64 x) 3))))
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(fma.f64 (*.f64 3 (/.f64 (pow.f64 (cos.f64 x) 3) (sin.f64 x))) x (fma.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2)) -3) (*.f64 x x) (fma.f64 -1 (pow.f64 (cos.f64 x) 3) (/.f64 (pow.f64 (cos.f64 x) 3) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))))))
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(/.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3)) (pow.f64 (sin.f64 x) 3))
(/.f64 (pow.f64 (cos.f64 x) 3) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))
(*.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 3)) (pow.f64 x 3))
(/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (/.f64 (sin.f64 x) x) 3))
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(fma.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2)) -3) (*.f64 x x) (/.f64 (pow.f64 (cos.f64 x) 3) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))))
(fma.f64 (*.f64 x x) (*.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2)) -3) (*.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 3)) (pow.f64 x 3)))
(*.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2)) (+.f64 (/.f64 (pow.f64 x 3) (sin.f64 x)) (*.f64 -3 (*.f64 x x))))
(+.f64 (*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 (/.f64 (pow.f64 (cos.f64 x) 3) (sin.f64 x))) (*.f64 -2 (/.f64 (pow.f64 (cos.f64 x) 3) (sin.f64 x)))))) (+.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3)) (pow.f64 (sin.f64 x) 3)) (*.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2))) (*.f64 -1 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2)))) (pow.f64 x 2))))
(fma.f64 (*.f64 3 (/.f64 (pow.f64 (cos.f64 x) 3) (sin.f64 x))) x (fma.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2)) -3) (*.f64 x x) (/.f64 (pow.f64 (cos.f64 x) 3) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))))
(fma.f64 x (/.f64 (*.f64 3 (pow.f64 (cos.f64 x) 3)) (sin.f64 x)) (fma.f64 (*.f64 x x) (*.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2)) -3) (*.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 3)) (pow.f64 x 3))))
(fma.f64 x (/.f64 (*.f64 3 (pow.f64 (cos.f64 x) 3)) (sin.f64 x)) (*.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2)) (+.f64 (/.f64 (pow.f64 x 3) (sin.f64 x)) (*.f64 -3 (*.f64 x x)))))
(+.f64 (*.f64 -1 (pow.f64 (cos.f64 x) 3)) (+.f64 (*.f64 -1 (*.f64 x (+.f64 (*.f64 -1 (/.f64 (pow.f64 (cos.f64 x) 3) (sin.f64 x))) (*.f64 -2 (/.f64 (pow.f64 (cos.f64 x) 3) (sin.f64 x)))))) (+.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3)) (pow.f64 (sin.f64 x) 3)) (*.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2))) (*.f64 -1 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2)))) (pow.f64 x 2)))))
(fma.f64 (*.f64 3 (/.f64 (pow.f64 (cos.f64 x) 3) (sin.f64 x))) x (fma.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2)) -3) (*.f64 x x) (fma.f64 -1 (pow.f64 (cos.f64 x) 3) (/.f64 (pow.f64 (cos.f64 x) 3) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))))))
(fma.f64 x (/.f64 (*.f64 3 (pow.f64 (cos.f64 x) 3)) (sin.f64 x)) (fma.f64 (*.f64 x x) (*.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2)) -3) (-.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 3)) (pow.f64 x 3)) (pow.f64 (cos.f64 x) 3))))
(fma.f64 x (/.f64 (*.f64 3 (pow.f64 (cos.f64 x) 3)) (sin.f64 x)) (-.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 2)) (+.f64 (/.f64 (pow.f64 x 3) (sin.f64 x)) (*.f64 -3 (*.f64 x x)))) (pow.f64 (cos.f64 x) 3)))

eval337.0ms (1.6%)

Compiler

Compiled 15715 to 7480 computations (52.4% saved)

prune123.0ms (0.6%)

Pruning

19 alts after pruning (17 fresh and 2 done)

PrunedKeptTotal
New55513568
Fresh246
Picked101
Done325
Total56119580
Error
0.0b
Counts
580 → 19
Alt Table
Click to see full alt table
StatusErrorProgram
12.2b
(/.f64 (+.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))))) (tan.f64 x))
0.2b
(fma.f64 -11/15120 (pow.f64 x 6) (+.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6)) (*.f64 -143/604800 (pow.f64 x 8))))
12.2b
(/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5)))) (tan.f64 x))
▶0.2b
(fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (-.f64 (+.f64 1 (*.f64 -143/604800 (pow.f64 x 8))) 1)))
✓12.3b
(/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))
31.0b
(log.f64 (exp.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))))
17.4b
(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
12.4b
(*.f64 (/.f64 1/6 (tan.f64 x)) (pow.f64 x 3))
▶0.6b
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
✓0.5b
(*.f64 1/6 (*.f64 x x))
▶53.0b
(sqrt.f64 (/.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (tan.f64 x) 2)))
12.4b
(*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x)))
31.2b
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)
1.1b
(pow.f64 (/.f64 (*.f64 x (cbrt.f64 1/6)) (cbrt.f64 (tan.f64 x))) 3)
▶0.4b
(*.f64 x (*.f64 1/6 x))
31.0b
(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))
0.2b
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -11/15120 (pow.f64 x 6)))
▶1.1b
(pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)
0.3b
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6))
Compiler

Compiled 461 to 344 computations (25.4% saved)

localize34.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(*.f64 -143/604800 (pow.f64 x 8))
✓0.2b
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (-.f64 (+.f64 1 (*.f64 -143/604800 (pow.f64 x 8))) 1))
✓0.4b
(-.f64 (+.f64 1 (*.f64 -143/604800 (pow.f64 x 8))) 1)
Compiler

Compiled 88 to 62 computations (29.5% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(-.f64 (+.f64 1 (*.f64 -143/604800 (pow.f64 x 8))) 1)
0.0ms
x
@0
(-.f64 (+.f64 1 (*.f64 -143/604800 (pow.f64 x 8))) 1)
0.0ms
x
@inf
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (-.f64 (+.f64 1 (*.f64 -143/604800 (pow.f64 x 8))) 1))
0.0ms
x
@0
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (-.f64 (+.f64 1 (*.f64 -143/604800 (pow.f64 x 8))) 1))
0.0ms
x
@-inf
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (-.f64 (+.f64 1 (*.f64 -143/604800 (pow.f64 x 8))) 1))

rewrite117.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
562×prod-diff_binary64
507×log-prod_binary64
465×fma-def_binary64
326×pow2_binary64
224×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01440
130628
2372928
Stop Event
1×node limit
Counts
2 → 107
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 -143/604800 (pow.f64 x 8))) 1)
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (-.f64 (+.f64 1 (*.f64 -143/604800 (pow.f64 x 8))) 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 -143/604800 (pow.f64 x 8) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 -143/604800 (pow.f64 x 8) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -143/604800 (pow.f64 x 8)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -143/604800 (pow.f64 x 8) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -143/604800 (pow.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 -143/604800 (pow.f64 x 8) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -143/604800 (pow.f64 x 8) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -143/604800) (pow.f64 x 8))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -143/604800) (pow.f64 x 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -143/604800) (pow.f64 x 8)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -143/604800) (pow.f64 x 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -143/604800 (pow.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -143/604800 (pow.f64 x 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 8) -143/604800)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -143/604800 (pow.f64 x 8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 4) -143/604800))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 16)) (*.f64 (cbrt.f64 (pow.f64 x 8)) -143/604800))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -143/604800 (pow.f64 x 8))) (cbrt.f64 (*.f64 (pow.f64 x 16) 20449/365783040000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 x 16) 20449/365783040000)) (cbrt.f64 (*.f64 -143/604800 (pow.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 4) (sqrt.f64 -143/604800)) (*.f64 (pow.f64 x 4) (sqrt.f64 -143/604800)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 -143/604800 (pow.f64 x 8) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -143/604800 (pow.f64 x 8) 1) 2) (fma.f64 -143/604800 (pow.f64 x 8) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 -143/604800 (pow.f64 x 8) 1) 2) -1) (/.f64 1 (fma.f64 -143/604800 (pow.f64 x 8) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 -143/604800 (pow.f64 x 8) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 -143/604800 (pow.f64 x 8) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -143/604800 (cbrt.f64 (pow.f64 x 16))) (cbrt.f64 (pow.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -143/604800 (pow.f64 x 4)) (pow.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 -143/604800 (pow.f64 x 8) 1) 2) (fma.f64 -143/604800 (pow.f64 x 8) 2)) (+.f64 (pow.f64 (fma.f64 -143/604800 (pow.f64 x 8) 1) 3) -1)))))) (#(struct:change 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(#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (*.f64 -143/604800 (pow.f64 x 8))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -143/604800 (pow.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -143/604800 (pow.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -143/604800 (pow.f64 x 8))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -143/604800 (pow.f64 x 8)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 -143/604800 (pow.f64 x 8) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 -143/604800 (pow.f64 x 8) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -143/604800 (pow.f64 x 8) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 8) -143/604800 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -143/604800 (pow.f64 x 8)) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 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simplify128.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1461×fma-def_binary64
842×unswap-sqr_binary64
566×sqr-pow_binary64
485×*-commutative_binary64
354×distribute-lft-out_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017273
137273
280273
3249273
41083273
52337273
64682273
74889273
85268273
95638273
106077273
116591273
127876273
Stop Event
1×node limit
Counts
131 → 115
Calls
Call 1
Inputs
(*.f64 -143/604800 (pow.f64 x 8))
(*.f64 -143/604800 (pow.f64 x 8))
(*.f64 -143/604800 (pow.f64 x 8))
(*.f64 -143/604800 (pow.f64 x 8))
(*.f64 -143/604800 (pow.f64 x 8))
(*.f64 -143/604800 (pow.f64 x 8))
(*.f64 -143/604800 (pow.f64 x 8))
(*.f64 -143/604800 (pow.f64 x 8))
(*.f64 -143/604800 (pow.f64 x 8))
(*.f64 -143/604800 (pow.f64 x 8))
(*.f64 -143/604800 (pow.f64 x 8))
(*.f64 -143/604800 (pow.f64 x 8))
(*.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 -143/604800 (pow.f64 x 8)) (*.f64 -23/360 (pow.f64 x 4))))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (*.f64 -23/360 (pow.f64 x 4))))
(*.f64 -143/604800 (pow.f64 x 8))
(+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (*.f64 -23/360 (pow.f64 x 4)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (*.f64 -23/360 (pow.f64 x 4))))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (*.f64 -23/360 (pow.f64 x 4))))
(*.f64 -143/604800 (pow.f64 x 8))
(+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (*.f64 -23/360 (pow.f64 x 4)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (*.f64 -23/360 (pow.f64 x 4))))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (*.f64 -23/360 (pow.f64 x 4))))
Outputs
(*.f64 -143/604800 (pow.f64 x 8))
(*.f64 -143/604800 (pow.f64 x 8))
(*.f64 -143/604800 (pow.f64 x 8))
(*.f64 -143/604800 (pow.f64 x 8))
(*.f64 -143/604800 (pow.f64 x 8))
(*.f64 -143/604800 (pow.f64 x 8))
(*.f64 -143/604800 (pow.f64 x 8))
(*.f64 -143/604800 (pow.f64 x 8))
(*.f64 -143/604800 (pow.f64 x 8))
(*.f64 -143/604800 (pow.f64 x 8))
(*.f64 -143/604800 (pow.f64 x 8))
(*.f64 -143/604800 (pow.f64 x 8))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 x 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)))
(fma.f64 x (*.f64 x 1/6) (*.f64 -23/360 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 x (*.f64 x 1/6) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 -143/604800 (pow.f64 x 8) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6)))
(*.f64 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 6) (fma.f64 x (*.f64 x -23/360) 1/6)))
(*.f64 x (fma.f64 x 1/6 (*.f64 (pow.f64 x 3) (fma.f64 -143/604800 (pow.f64 x 4) -23/360))))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 x (*.f64 x 1/6) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 -143/604800 (pow.f64 x 8) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6)))
(*.f64 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 6) (fma.f64 x (*.f64 x -23/360) 1/6)))
(*.f64 x (fma.f64 x 1/6 (*.f64 (pow.f64 x 3) (fma.f64 -143/604800 (pow.f64 x 4) -23/360))))
(*.f64 -143/604800 (pow.f64 x 8))
(+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -23/360 (pow.f64 x 4)))
(*.f64 (pow.f64 x 4) (fma.f64 -143/604800 (pow.f64 x 4) -23/360))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 x (*.f64 x 1/6) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 -143/604800 (pow.f64 x 8) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6)))
(*.f64 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 6) (fma.f64 x (*.f64 x -23/360) 1/6)))
(*.f64 x (fma.f64 x 1/6 (*.f64 (pow.f64 x 3) (fma.f64 -143/604800 (pow.f64 x 4) -23/360))))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 x (*.f64 x 1/6) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 -143/604800 (pow.f64 x 8) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6)))
(*.f64 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 6) (fma.f64 x (*.f64 x -23/360) 1/6)))
(*.f64 x (fma.f64 x 1/6 (*.f64 (pow.f64 x 3) (fma.f64 -143/604800 (pow.f64 x 4) -23/360))))
(*.f64 -143/604800 (pow.f64 x 8))
(+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -23/360 (pow.f64 x 4)))
(*.f64 (pow.f64 x 4) (fma.f64 -143/604800 (pow.f64 x 4) -23/360))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 x (*.f64 x 1/6) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 -143/604800 (pow.f64 x 8) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6)))
(*.f64 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 6) (fma.f64 x (*.f64 x -23/360) 1/6)))
(*.f64 x (fma.f64 x 1/6 (*.f64 (pow.f64 x 3) (fma.f64 -143/604800 (pow.f64 x 4) -23/360))))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 x (*.f64 x 1/6) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 -143/604800 (pow.f64 x 8) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6)))
(*.f64 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 6) (fma.f64 x (*.f64 x -23/360) 1/6)))
(*.f64 x (fma.f64 x 1/6 (*.f64 (pow.f64 x 3) (fma.f64 -143/604800 (pow.f64 x 4) -23/360))))

localize5.0ms (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)

series2.0ms (0%)

Counts
2 → 12
Calls

6 calls:

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

rewrite88.0ms (0.4%)

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))))))))

simplify180.0ms (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))

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 x (sqrt.f64 1/6))
✓0.3b
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
Compiler

Compiled 16 to 13 computations (18.8% saved)

series7.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
1.0ms
x
@0
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
1.0ms
x
@inf
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
0.0ms
x
@0
(*.f64 x (sqrt.f64 1/6))
0.0ms
x
@inf
(*.f64 x (sqrt.f64 1/6))

rewrite79.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
561×pow1_binary64
522×add-log-exp_binary64
522×log1p-expm1-u_binary64
522×expm1-log1p-u_binary64
509×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0715
114713
2153813
Stop Event
1×node limit
Counts
2 → 35
Calls
Call 1
Inputs
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
(*.f64 x (sqrt.f64 1/6))
Outputs
((#(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 x (*.f64 (sqrt.f64 1/6) (*.f64 x (sqrt.f64 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/6) (*.f64 x (*.f64 x (sqrt.f64 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 (*.f64 1/6 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 1/6)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) (*.f64 (cbrt.f64 (*.f64 x (sqrt.f64 1/6))) (*.f64 x (sqrt.f64 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 1/6)) 4)) (cbrt.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (sqrt.f64 1/6))) (*.f64 (sqrt.f64 (*.f64 x (sqrt.f64 1/6))) (*.f64 x (sqrt.f64 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x (sqrt.f64 1/6)) (sqrt.f64 (*.f64 x (sqrt.f64 1/6)))) (sqrt.f64 (*.f64 x (sqrt.f64 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x (sqrt.f64 1/6)) x) (sqrt.f64 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x (sqrt.f64 1/6)) (sqrt.f64 1/6)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x (sqrt.f64 1/6)) (cbrt.f64 (*.f64 1/6 (*.f64 x x)))) (cbrt.f64 (*.f64 x (sqrt.f64 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 1/6)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 x x)) 1/6))))) (#(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))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (sqrt.f64 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (*.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (sqrt.f64 1/6)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 1/6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 1/6))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 x (sqrt.f64 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (sqrt.f64 1/6))))))))

simplify196.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
834×sqr-pow_binary64
693×cube-prod_binary64
680×fabs-mul_binary64
647×associate-*l*_binary64
573×pow-sqr_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
09216
119156
238156
393156
4387156
52148156
62261156
72472156
82668156
92897156
103202156
113831156
124304156
134933156
145645156
156570156
167084156
177470156
187836156
197936156
207966156
Stop Event
1×node limit
Counts
59 → 37
Calls
Call 1
Inputs
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (sqrt.f64 1/6) x)
(*.f64 (sqrt.f64 1/6) x)
(*.f64 (sqrt.f64 1/6) x)
(*.f64 (sqrt.f64 1/6) x)
(*.f64 (sqrt.f64 1/6) x)
(*.f64 (sqrt.f64 1/6) x)
(*.f64 (sqrt.f64 1/6) x)
(*.f64 (sqrt.f64 1/6) x)
(*.f64 (sqrt.f64 1/6) x)
(*.f64 (sqrt.f64 1/6) x)
(*.f64 (sqrt.f64 1/6) x)
(*.f64 (sqrt.f64 1/6) x)
Outputs
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (pow.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 1/6) 2) (*.f64 x x))
(*.f64 1/6 (*.f64 x x))
(*.f64 (sqrt.f64 1/6) x)
(*.f64 (sqrt.f64 1/6) x)
(*.f64 (sqrt.f64 1/6) x)
(*.f64 (sqrt.f64 1/6) x)
(*.f64 (sqrt.f64 1/6) x)
(*.f64 (sqrt.f64 1/6) x)
(*.f64 (sqrt.f64 1/6) x)
(*.f64 (sqrt.f64 1/6) x)
(*.f64 (sqrt.f64 1/6) x)
(*.f64 (sqrt.f64 1/6) x)
(*.f64 (sqrt.f64 1/6) x)
(*.f64 (sqrt.f64 1/6) x)

localize11.0ms (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)
✓29.3b
(cbrt.f64 (*.f64 1/6 (*.f64 x x)))
Compiler

Compiled 26 to 14 computations (46.2% saved)

series7.0ms (0%)

Counts
2 → 0
Calls

6 calls:

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

rewrite58.0ms (0.3%)

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))))))))

simplify7.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(pow.f64 (tan.f64 x) 2)
✓0.0b
(*.f64 (pow.f64 x 6) 1/36)
✓17.0b
(sqrt.f64 (/.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (tan.f64 x) 2)))
✓34.9b
(/.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (tan.f64 x) 2))
Compiler

Compiled 40 to 28 computations (30% saved)

series10.0ms (0%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
(/.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (tan.f64 x) 2))
2.0ms
x
@inf
(/.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (tan.f64 x) 2))
1.0ms
x
@0
(/.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (tan.f64 x) 2))
1.0ms
x
@-inf
(sqrt.f64 (/.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (tan.f64 x) 2)))
0.0ms
x
@inf
(*.f64 (pow.f64 x 6) 1/36)

rewrite114.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
494×log-prod_binary64
372×exp-prod_binary64
349×prod-exp_binary64
288×pow-prod-down_binary64
272×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01145
124240
2284940
Stop Event
1×node limit
Counts
4 → 181
Calls
Call 1
Inputs
(/.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (tan.f64 x) 2))
(sqrt.f64 (/.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (tan.f64 x) 2)))
(*.f64 (pow.f64 x 6) 1/36)
(pow.f64 (tan.f64 x) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/36 (/.f64 (pow.f64 x 6) (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/36) (/.f64 (pow.f64 x 6) (pow.f64 (tan.f64 x) 2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/36) (/.f64 (pow.f64 x 6) (pow.f64 (tan.f64 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/36) (/.f64 (pow.f64 x 6) (pow.f64 (tan.f64 x) 2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/36) (/.f64 (pow.f64 x 6) (pow.f64 (tan.f64 x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/36 (/.f64 (pow.f64 x 6) (pow.f64 (tan.f64 x) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 6) (/.f64 1 (*.f64 (pow.f64 (tan.f64 x) 2) 36)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 6) (*.f64 1/36 (pow.f64 (tan.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/36 (/.f64 (pow.f64 x 6) (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/36 (*.f64 (pow.f64 x 6) (pow.f64 (tan.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (tan.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/36 (/.f64 (pow.f64 x 6) (pow.f64 (tan.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (pow.f64 x 3) 1/6) (tan.f64 x)) (/.f64 (*.f64 (pow.f64 x 3) 1/6) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/36 (/.f64 (pow.f64 x 6) (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/1296 (pow.f64 x 12))) (*.f64 (*.f64 (cbrt.f64 1/36) (*.f64 x x)) (pow.f64 (tan.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/36 (/.f64 (pow.f64 x 6) (pow.f64 (tan.f64 x) 2)))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 (pow.f64 x 3) 1/6) (tan.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 (pow.f64 x 3) 1/6) (tan.f64 x))) 4) (cbrt.f64 (*.f64 1/36 (/.f64 (pow.f64 x 6) (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (*.f64 (pow.f64 x 3) 1/6) (tan.f64 x))) (pow.f64 (/.f64 (*.f64 (pow.f64 x 3) 1/6) (tan.f64 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 3) 1/6) (*.f64 (*.f64 (pow.f64 x 3) 1/6) (pow.f64 (tan.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 6) -1/36) (/.f64 1 (neg.f64 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (tan.f64 x) -2) (*.f64 (pow.f64 x 6) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (tan.f64 x)) (/.f64 (*.f64 (pow.f64 x 6) 1/36) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 6) (tan.f64 x)) (/.f64 1/36 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/36 (tan.f64 x)) (/.f64 (pow.f64 x 6) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 1/1296 (pow.f64 x 12))) (tan.f64 x)) (/.f64 (*.f64 (cbrt.f64 1/36) (*.f64 x x)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 6) 1) (/.f64 1/36 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 6) (pow.f64 (tan.f64 x) 2)) 1/36)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 1/1296 (pow.f64 x 12))) 1) (/.f64 (*.f64 (cbrt.f64 1/36) (*.f64 x x)) (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (pow.f64 x 3) 1/6) 1) (/.f64 (*.f64 (pow.f64 x 3) 1/6) (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 (tan.f64 x)) 4)) (/.f64 1/36 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/36 (pow.f64 (cbrt.f64 (tan.f64 x)) 4)) (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 4)) (/.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 1/1296 (pow.f64 x 12))) (pow.f64 (cbrt.f64 (tan.f64 x)) 4)) (cbrt.f64 (*.f64 1/36 (/.f64 (pow.f64 x 6) (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (pow.f64 x 3) 1/6) (pow.f64 (cbrt.f64 (tan.f64 x)) 4)) (/.f64 (*.f64 (pow.f64 x 3) 1/6) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 x 3) 1/6) (tan.f64 x)) 3/2) (sqrt.f64 (/.f64 (*.f64 (pow.f64 x 3) 1/6) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 (pow.f64 x 3) 1/6) (tan.f64 x))) 5) (cbrt.f64 (/.f64 (*.f64 (pow.f64 x 3) 1/6) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/36 (/.f64 (pow.f64 x 6) (pow.f64 (tan.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (pow.f64 x 3) 1/6) (tan.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 x 3) 1/6) (tan.f64 x)) 3) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 1/1296 (pow.f64 x 12)) (pow.f64 (tan.f64 x) -4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 x 3) 1/6) (tan.f64 x)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 (pow.f64 x 3) 1/6) (tan.f64 x))) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/36 (/.f64 (pow.f64 x 6) (pow.f64 (tan.f64 x) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 (pow.f64 x 3) 1/6) (tan.f64 x))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (pow.f64 x 6) 1/36)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (tan.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (tan.f64 x) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 x) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (tan.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (tan.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 4) (pow.f64 (cbrt.f64 (tan.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (pow.f64 (cbrt.f64 (tan.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 x)) (pow.f64 (tan.f64 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (tan.f64 x) 3/2) (sqrt.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 5) (cbrt.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (tan.f64 x) (sin.f64 x)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tan.f64 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (tan.f64 x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (tan.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 x) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (tan.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (tan.f64 x)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (tan.f64 x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (tan.f64 x)) 1) (log.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (tan.f64 x)) (*.f64 (log.f64 (tan.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (tan.f64 x)) 1) (*.f64 (log.f64 (tan.f64 x)) 1)))))))

simplify118.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
787×associate-/r*_binary64
501×*-commutative_binary64
338×associate-/r/_binary64
330×distribute-rgt-out_binary64
323×associate-*l/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066714
1168714
2455714
32121714
46735714
57053714
67307714
77615714
Stop Event
1×node limit
Counts
229 → 211
Calls
Call 1
Inputs
(*.f64 1/36 (pow.f64 x 4))
(+.f64 (*.f64 1/36 (pow.f64 x 4)) (*.f64 -1/54 (pow.f64 x 6)))
(+.f64 (*.f64 1/540 (pow.f64 x 8)) (+.f64 (*.f64 1/36 (pow.f64 x 4)) (*.f64 -1/54 (pow.f64 x 6))))
(+.f64 (*.f64 1/540 (pow.f64 x 8)) (+.f64 (*.f64 1/36 (pow.f64 x 4)) (+.f64 (*.f64 1/3402 (pow.f64 x 10)) (*.f64 -1/54 (pow.f64 x 6)))))
(*.f64 1/36 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 6)) (pow.f64 (sin.f64 x) 2)))
(*.f64 1/36 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 6)) (pow.f64 (sin.f64 x) 2)))
(*.f64 1/36 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 6)) (pow.f64 (sin.f64 x) 2)))
(*.f64 1/36 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 6)) (pow.f64 (sin.f64 x) 2)))
(*.f64 1/36 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 6)) (pow.f64 (sin.f64 x) 2)))
(*.f64 1/36 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 6)) (pow.f64 (sin.f64 x) 2)))
(*.f64 1/36 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 6)) (pow.f64 (sin.f64 x) 2)))
(*.f64 1/36 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 6)) (pow.f64 (sin.f64 x) 2)))
(*.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 1/36 (pow.f64 x 6))
(*.f64 1/36 (pow.f64 x 6))
(*.f64 1/36 (pow.f64 x 6))
(*.f64 1/36 (pow.f64 x 6))
(*.f64 1/36 (pow.f64 x 6))
(*.f64 1/36 (pow.f64 x 6))
(*.f64 1/36 (pow.f64 x 6))
(*.f64 1/36 (pow.f64 x 6))
(*.f64 1/36 (pow.f64 x 6))
(*.f64 1/36 (pow.f64 x 6))
(*.f64 1/36 (pow.f64 x 6))
(*.f64 1/36 (pow.f64 x 6))
(pow.f64 x 2)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 62/315 (pow.f64 x 8)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
Outputs
(*.f64 1/36 (pow.f64 x 4))
(+.f64 (*.f64 1/36 (pow.f64 x 4)) (*.f64 -1/54 (pow.f64 x 6)))
(fma.f64 1/36 (pow.f64 x 4) (*.f64 -1/54 (pow.f64 x 6)))
(+.f64 (*.f64 1/540 (pow.f64 x 8)) (+.f64 (*.f64 1/36 (pow.f64 x 4)) (*.f64 -1/54 (pow.f64 x 6))))
(fma.f64 1/540 (pow.f64 x 8) (fma.f64 1/36 (pow.f64 x 4) (*.f64 -1/54 (pow.f64 x 6))))
(fma.f64 -1/54 (pow.f64 x 6) (fma.f64 1/36 (pow.f64 x 4) (*.f64 1/540 (pow.f64 x 8))))
(fma.f64 1/36 (pow.f64 x 4) (fma.f64 -1/54 (pow.f64 x 6) (*.f64 1/540 (pow.f64 x 8))))
(+.f64 (*.f64 1/540 (pow.f64 x 8)) (+.f64 (*.f64 1/36 (pow.f64 x 4)) (+.f64 (*.f64 1/3402 (pow.f64 x 10)) (*.f64 -1/54 (pow.f64 x 6)))))
(fma.f64 1/540 (pow.f64 x 8) (fma.f64 1/36 (pow.f64 x 4) (fma.f64 1/3402 (pow.f64 x 10) (*.f64 -1/54 (pow.f64 x 6)))))
(fma.f64 1/36 (pow.f64 x 4) (fma.f64 1/540 (pow.f64 x 8) (fma.f64 1/3402 (pow.f64 x 10) (*.f64 -1/54 (pow.f64 x 6)))))
(fma.f64 1/36 (pow.f64 x 4) (fma.f64 1/540 (pow.f64 x 8) (fma.f64 -1/54 (pow.f64 x 6) (*.f64 1/3402 (pow.f64 x 10)))))
(*.f64 1/36 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 6)) (pow.f64 (sin.f64 x) 2)))
(*.f64 1/36 (/.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 6))))
(*.f64 1/36 (/.f64 (pow.f64 x 6) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 1/36 (*.f64 (pow.f64 x 6) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))
(*.f64 1/36 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 6)) (pow.f64 (sin.f64 x) 2)))
(*.f64 1/36 (/.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 6))))
(*.f64 1/36 (/.f64 (pow.f64 x 6) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 1/36 (*.f64 (pow.f64 x 6) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))
(*.f64 1/36 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 6)) (pow.f64 (sin.f64 x) 2)))
(*.f64 1/36 (/.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 6))))
(*.f64 1/36 (/.f64 (pow.f64 x 6) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 1/36 (*.f64 (pow.f64 x 6) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))
(*.f64 1/36 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 6)) (pow.f64 (sin.f64 x) 2)))
(*.f64 1/36 (/.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 6))))
(*.f64 1/36 (/.f64 (pow.f64 x 6) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 1/36 (*.f64 (pow.f64 x 6) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))
(*.f64 1/36 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 6)) (pow.f64 (sin.f64 x) 2)))
(*.f64 1/36 (/.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 6))))
(*.f64 1/36 (/.f64 (pow.f64 x 6) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 1/36 (*.f64 (pow.f64 x 6) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))
(*.f64 1/36 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 6)) (pow.f64 (sin.f64 x) 2)))
(*.f64 1/36 (/.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 6))))
(*.f64 1/36 (/.f64 (pow.f64 x 6) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 1/36 (*.f64 (pow.f64 x 6) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))
(*.f64 1/36 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 6)) (pow.f64 (sin.f64 x) 2)))
(*.f64 1/36 (/.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 6))))
(*.f64 1/36 (/.f64 (pow.f64 x 6) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 1/36 (*.f64 (pow.f64 x 6) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))
(*.f64 1/36 (/.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 6)) (pow.f64 (sin.f64 x) 2)))
(*.f64 1/36 (/.f64 (pow.f64 (cos.f64 x) 2) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 6))))
(*.f64 1/36 (/.f64 (pow.f64 x 6) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))
(*.f64 1/36 (*.f64 (pow.f64 x 6) (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 x 1/6))
(+.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 (pow.f64 x 4) -1/18 (*.f64 x (*.f64 x 1/6)))
(fma.f64 x (*.f64 x 1/6) (*.f64 (pow.f64 x 4) -1/18))
(+.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 (pow.f64 x 6) -1/270)))
(fma.f64 (pow.f64 x 4) -1/18 (fma.f64 (pow.f64 x 6) -1/270 (*.f64 x (*.f64 x 1/6))))
(fma.f64 x (*.f64 x 1/6) (fma.f64 (pow.f64 x 4) -1/18 (*.f64 (pow.f64 x 6) -1/270)))
(+.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 (pow.f64 x 6) -1/270))))
(fma.f64 (pow.f64 x 4) -1/18 (fma.f64 1/6 (*.f64 x x) (fma.f64 (pow.f64 x 8) -1/2835 (*.f64 (pow.f64 x 6) -1/270))))
(fma.f64 x (*.f64 x 1/6) (fma.f64 (pow.f64 x 4) -1/18 (fma.f64 (pow.f64 x 8) -1/2835 (*.f64 (pow.f64 x 6) -1/270))))
(fma.f64 x (*.f64 x 1/6) (fma.f64 (pow.f64 x 4) -1/18 (fma.f64 (pow.f64 x 6) -1/270 (*.f64 (pow.f64 x 8) -1/2835))))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (pow.f64 x 3) (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 1/6 (*.f64 (pow.f64 x 3) (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 (pow.f64 x 3) (/.f64 (*.f64 (cos.f64 x) 1/6) (sin.f64 x)))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (pow.f64 x 3) (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 1/6 (*.f64 (pow.f64 x 3) (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 (pow.f64 x 3) (/.f64 (*.f64 (cos.f64 x) 1/6) (sin.f64 x)))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (pow.f64 x 3) (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 1/6 (*.f64 (pow.f64 x 3) (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 (pow.f64 x 3) (/.f64 (*.f64 (cos.f64 x) 1/6) (sin.f64 x)))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (pow.f64 x 3) (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 1/6 (*.f64 (pow.f64 x 3) (/.f64 (cos.f64 x) (sin.f64 x))))
(*.f64 (pow.f64 x 3) (/.f64 (*.f64 (cos.f64 x) 1/6) (sin.f64 x)))
(*.f64 -1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)) -1/6)
(*.f64 (/.f64 (pow.f64 x 3) (/.f64 (sin.f64 x) (cos.f64 x))) -1/6)
(*.f64 (*.f64 -1/6 (/.f64 (cos.f64 x) (sin.f64 x))) (pow.f64 x 3))
(*.f64 (pow.f64 x 3) (/.f64 (*.f64 (cos.f64 x) -1/6) (sin.f64 x)))
(*.f64 -1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)) -1/6)
(*.f64 (/.f64 (pow.f64 x 3) (/.f64 (sin.f64 x) (cos.f64 x))) -1/6)
(*.f64 (*.f64 -1/6 (/.f64 (cos.f64 x) (sin.f64 x))) (pow.f64 x 3))
(*.f64 (pow.f64 x 3) (/.f64 (*.f64 (cos.f64 x) -1/6) (sin.f64 x)))
(*.f64 -1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)) -1/6)
(*.f64 (/.f64 (pow.f64 x 3) (/.f64 (sin.f64 x) (cos.f64 x))) -1/6)
(*.f64 (*.f64 -1/6 (/.f64 (cos.f64 x) (sin.f64 x))) (pow.f64 x 3))
(*.f64 (pow.f64 x 3) (/.f64 (*.f64 (cos.f64 x) -1/6) (sin.f64 x)))
(*.f64 -1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)) -1/6)
(*.f64 (/.f64 (pow.f64 x 3) (/.f64 (sin.f64 x) (cos.f64 x))) -1/6)
(*.f64 (*.f64 -1/6 (/.f64 (cos.f64 x) (sin.f64 x))) (pow.f64 x 3))
(*.f64 (pow.f64 x 3) (/.f64 (*.f64 (cos.f64 x) -1/6) (sin.f64 x)))
(*.f64 1/36 (pow.f64 x 6))
(*.f64 1/36 (pow.f64 x 6))
(*.f64 1/36 (pow.f64 x 6))
(*.f64 1/36 (pow.f64 x 6))
(*.f64 1/36 (pow.f64 x 6))
(*.f64 1/36 (pow.f64 x 6))
(*.f64 1/36 (pow.f64 x 6))
(*.f64 1/36 (pow.f64 x 6))
(*.f64 1/36 (pow.f64 x 6))
(*.f64 1/36 (pow.f64 x 6))
(*.f64 1/36 (pow.f64 x 6))
(*.f64 1/36 (pow.f64 x 6))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (pow.f64 x 2))
(fma.f64 2/3 (pow.f64 x 4) (*.f64 x x))
(fma.f64 (pow.f64 x 4) 2/3 (*.f64 x x))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2)))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 17/45 (pow.f64 x 6) (*.f64 x x)))
(fma.f64 (pow.f64 x 4) 2/3 (fma.f64 x x (*.f64 (pow.f64 x 6) 17/45)))
(fma.f64 x x (fma.f64 (pow.f64 x 4) 2/3 (*.f64 (pow.f64 x 6) 17/45)))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 62/315 (pow.f64 x 8)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (pow.f64 x 2))))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 62/315 (pow.f64 x 8) (fma.f64 17/45 (pow.f64 x 6) (*.f64 x x))))
(fma.f64 (pow.f64 x 4) 2/3 (fma.f64 (pow.f64 x 8) 62/315 (fma.f64 x x (*.f64 (pow.f64 x 6) 17/45))))
(fma.f64 (pow.f64 x 4) 2/3 (fma.f64 x x (fma.f64 (pow.f64 x 8) 62/315 (*.f64 (pow.f64 x 6) 17/45))))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))
(/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))

eval193.0ms (0.9%)

Compiler

Compiled 8122 to 5853 computations (27.9% saved)

prune147.0ms (0.7%)

Pruning

18 alts after pruning (13 fresh and 5 done)

PrunedKeptTotal
New4686474
Fresh5712
Picked101
Done156
Total47518493
Error
0.0b
Counts
493 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
12.2b
(/.f64 (+.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))))) (tan.f64 x))
▶0.2b
(fma.f64 -11/15120 (pow.f64 x 6) (+.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6)) (*.f64 -143/604800 (pow.f64 x 8))))
31.2b
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)
✓12.3b
(/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))
▶31.0b
(log.f64 (exp.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))))
▶17.4b
(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
0.5b
(*.f64 (*.f64 (*.f64 x (sqrt.f64 1/6)) x) (sqrt.f64 1/6))
▶12.4b
(*.f64 (/.f64 1/6 (tan.f64 x)) (pow.f64 x 3))
✓0.6b
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
0.3b
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6))
33.1b
(*.f64 x (pow.f64 (sqrt.f64 (*.f64 1/6 x)) 2))
1.3b
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 1/6))) 2) 3)
▶30.5b
(*.f64 x (-.f64 (+.f64 1 (*.f64 1/6 x)) 1))
✓0.4b
(*.f64 x (*.f64 1/6 x))
✓0.2b
(fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (-.f64 (+.f64 1 (*.f64 -143/604800 (pow.f64 x 8))) 1)))
31.0b
(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))
✓0.5b
(*.f64 1/6 (*.f64 x x))
0.2b
(fma.f64 -11/15120 (pow.f64 x 6) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6))))
Compiler

Compiled 377 to 282 computations (25.2% saved)

localize26.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6)) (*.f64 -143/604800 (pow.f64 x 8)))
0.0b
(*.f64 -143/604800 (pow.f64 x 8))
✓0.2b
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6))
Compiler

Compiled 75 to 45 computations (40% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6))
1.0ms
x
@inf
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6))
0.0ms
x
@inf
(+.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6)) (*.f64 -143/604800 (pow.f64 x 8)))
0.0ms
x
@0
(+.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6)) (*.f64 -143/604800 (pow.f64 x 8)))
0.0ms
x
@-inf
(+.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6)) (*.f64 -143/604800 (pow.f64 x 8)))

rewrite82.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
527×log-prod_binary64
372×fma-def_binary64
346×pow-prod-down_binary64
306×pow2_binary64
212×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01235
126335
2319635
Stop Event
1×node limit
Counts
2 → 96
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6))
(+.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6)) (*.f64 -143/604800 (pow.f64 x 8)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 x 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 (*.f64 x x) -23/360)) (*.f64 (*.f64 x x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x (*.f64 x -23/360) 1/6))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x (*.f64 x -23/360) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x (*.f64 x -23/360) 1/6)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x (*.f64 x -23/360) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -23/360) 1/6))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -23/360) 1/6))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -23/360) 1/6))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -23/360) 1/6))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x (*.f64 x -23/360) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -23/360) 1/6))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -23/360) 1/6)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -23/360) 1/6))) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) -23/360) (*.f64 (*.f64 x x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x x) -23/360) (*.f64 x x) (*.f64 1/6 (*.f64 x x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6) (*.f64 -143/604800 (pow.f64 x 8))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -23/360) 1/6))) 4) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6) (*.f64 143/604800 (pow.f64 x 8)))) (/.f64 (*.f64 20449/365783040000 (pow.f64 x 16)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6) (*.f64 143/604800 (pow.f64 x 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6) (*.f64 -143/604800 (pow.f64 x 8))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6) (*.f64 -143/604800 (pow.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6) (*.f64 -143/604800 (pow.f64 x 8)))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x 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simplify135.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1461×fma-def_binary64
842×unswap-sqr_binary64
566×sqr-pow_binary64
506×*-commutative_binary64
354×distribute-lft-out_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017336
137336
280336
3249336
41069336
52347336
64692336
74899336
85277336
95646336
106085336
116601336
127890336
Stop Event
1×node limit
Counts
120 → 106
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 -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)))
(*.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 -143/604800 (pow.f64 x 8)) (*.f64 -23/360 (pow.f64 x 4))))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (*.f64 -23/360 (pow.f64 x 4))))
(*.f64 -143/604800 (pow.f64 x 8))
(+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (*.f64 -23/360 (pow.f64 x 4)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (*.f64 -23/360 (pow.f64 x 4))))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (*.f64 -23/360 (pow.f64 x 4))))
(*.f64 -143/604800 (pow.f64 x 8))
(+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (*.f64 -23/360 (pow.f64 x 4)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (*.f64 -23/360 (pow.f64 x 4))))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (*.f64 -23/360 (pow.f64 x 4))))
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 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 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 -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)))
(fma.f64 -23/360 (pow.f64 x 4) (*.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 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 -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)))
(fma.f64 -23/360 (pow.f64 x 4) (*.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 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 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 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -143/604800 (pow.f64 x 8))))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 6) 1/6)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -143/604800 (pow.f64 x 8))))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 6) 1/6)))
(*.f64 -143/604800 (pow.f64 x 8))
(+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 -143/604800 (pow.f64 x 8)))
(*.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 4) -143/604800 -23/360))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -143/604800 (pow.f64 x 8))))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 6) 1/6)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -143/604800 (pow.f64 x 8))))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 6) 1/6)))
(*.f64 -143/604800 (pow.f64 x 8))
(+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 -143/604800 (pow.f64 x 8)))
(*.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 4) -143/604800 -23/360))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -143/604800 (pow.f64 x 8))))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 6) 1/6)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -143/604800 (pow.f64 x 8))))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 6) 1/6)))

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 x (-.f64 (+.f64 1 (*.f64 1/6 x)) 1))
0.3b
(*.f64 1/6 x)
✓4.0b
(-.f64 (+.f64 1 (*.f64 1/6 x)) 1)
Compiler

Compiled 28 to 22 computations (21.4% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite71.0ms (0.3%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
0823
117611
2241811
Stop Event
1×node limit
Counts
2 → 64
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 1/6 x)) 1)
(*.f64 x (-.f64 (+.f64 1 (*.f64 1/6 x)) 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 1/6 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 1/6 x -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/6 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/6 x 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 1/6 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/6 x -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/6 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/6 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/6 x)) (pow.f64 (cbrt.f64 (*.f64 1/6 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/6 x)) 2) (cbrt.f64 (*.f64 1/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/6 x)) (sqrt.f64 (*.f64 1/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 1/6 x 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/6 x 1) 2) (+.f64 (*.f64 1/6 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 1/6 x 1) 2) -1) (/.f64 1 (+.f64 (*.f64 1/6 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 1/6 x 1)) 1) (-.f64 (sqrt.f64 (fma.f64 1/6 x 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/6 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/6 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 1/6 x 1) 2) (+.f64 (*.f64 1/6 x) 2)) (+.f64 (pow.f64 (fma.f64 1/6 x 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 1/6 x) 2) (+.f64 (pow.f64 (fma.f64 1/6 x 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/6 x 1) 3) -1) (+.f64 (pow.f64 (fma.f64 1/6 x 1) 2) (+.f64 (*.f64 1/6 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/6 x 1) 3) -1) (+.f64 (pow.f64 (fma.f64 1/6 x 1) 2) (-.f64 1 (*.f64 (fma.f64 1/6 x 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/6 x 1) 2) -1) (+.f64 (*.f64 1/6 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/6 x 1) 2) -1) (-.f64 (fma.f64 1/6 x 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/6 x 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 1/6 x 1) 2) (+.f64 (*.f64 1/6 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 1/6 x 1) 2) -1)) (neg.f64 (+.f64 (*.f64 1/6 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 1/6 x -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 1/6 x -1) (fma.f64 1/6 x -1)) (fma.f64 1/6 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (fma.f64 1/6 x -1) (fma.f64 1/6 x -1))) (-.f64 1 (fma.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 (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 pow.f64 (*.f64 1/216 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/36 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/216 (pow.f64 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 fma.f64 1 (fma.f64 1/6 x 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 x 1)) 2) (cbrt.f64 (fma.f64 1/6 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 1/6 x 1)) (sqrt.f64 (fma.f64 1/6 x 1)) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (fma.f64 1/6 x -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x (fma.f64 1/6 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 1/6 x 1) x) (*.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (fma.f64 1/6 x 1)) (*.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 1/6 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 1/6 x 1) 3) -1) x) (+.f64 (pow.f64 (fma.f64 1/6 x 1) 2) (+.f64 (*.f64 1/6 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 1/6 x 1) 2) -1) x) (+.f64 (*.f64 1/6 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (pow.f64 (fma.f64 1/6 x 1) 3) -1)) (+.f64 (pow.f64 (fma.f64 1/6 x 1) 2) (+.f64 (*.f64 1/6 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 (pow.f64 (fma.f64 1/6 x 1) 2) -1)) (+.f64 (*.f64 1/6 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 1/6 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 1/6 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 1/6 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 1/6 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 1/6 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 1/6) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 1/6 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (*.f64 1/216 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 1/216 (pow.f64 x 3)) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 1/6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 1/6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 1/6 x))))))))

simplify184.0ms (0.9%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
07132
114132
223132
342132
4102132
5321132
61252132
72126132
82290132
92474132
102682132
112978132
123371132
133852132
144418132
155106132
165941132
176333132
186623132
196895132
206967132
217003132
227944132
Stop Event
1×node limit
Counts
88 → 66
Calls
Call 1
Inputs
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 (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 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 1/36 (pow.f64 x 4))
✓17.0b
(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
Compiler

Compiled 18 to 14 computations (22.2% saved)

series2.0ms (0%)

Counts
2 → 12
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 1/36 (pow.f64 x 4))
0.0ms
x
@inf
(*.f64 1/36 (pow.f64 x 4))
0.0ms
x
@0
(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
0.0ms
x
@inf
(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
0.0ms
x
@-inf
(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))

rewrite60.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
574×pow1_binary64
539×add-log-exp_binary64
539×log1p-expm1-u_binary64
539×expm1-log1p-u_binary64
526×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0716
114814
2155814
Stop Event
1×node limit
Counts
2 → 36
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
(*.f64 1/36 (pow.f64 x 4))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (*.f64 x x) 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (*.f64 x x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (pow.f64 1/36 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))) (cbrt.f64 (*.f64 (*.f64 x x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/6)) (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/6) x) (*.f64 (sqrt.f64 1/6) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 1/1296))) (sqrt.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/36 1/2) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 (*.f64 x x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 1/1296)) 1/2) (pow.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/36 (pow.f64 x 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/36 (pow.f64 x 4)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (*.f64 x x) 1/6))))) (#(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 1/36 (pow.f64 x 4)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 x x) 1/6)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/36 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/36 (pow.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 8) 1/1296) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/36 (pow.f64 x 4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 8) 1/1296))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/36) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/36 (pow.f64 x 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/36 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/36 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/36 (pow.f64 x 4))))))))

simplify181.0ms (0.9%)

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
48 → 38
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))

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.3b
(/.f64 1/6 (tan.f64 x))
✓12.1b
(*.f64 (/.f64 1/6 (tan.f64 x)) (pow.f64 x 3))
Compiler

Compiled 21 to 13 computations (38.1% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(/.f64 1/6 (tan.f64 x))
0.0ms
x
@-inf
(/.f64 1/6 (tan.f64 x))
0.0ms
x
@0
(/.f64 1/6 (tan.f64 x))
0.0ms
x
@0
(*.f64 (/.f64 1/6 (tan.f64 x)) (pow.f64 x 3))
0.0ms
x
@inf
(*.f64 (/.f64 1/6 (tan.f64 x)) (pow.f64 x 3))

rewrite65.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
809×pow1_binary64
759×add-log-exp_binary64
759×log1p-expm1-u_binary64
759×expm1-log1p-u_binary64
744×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0818
118018
2207818
Stop Event
1×node limit
Counts
2 → 44
Calls
Call 1
Inputs
(*.f64 (/.f64 1/6 (tan.f64 x)) (pow.f64 x 3))
(/.f64 1/6 (tan.f64 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 (tan.f64 x) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x 3) (*.f64 (tan.f64 x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (tan.f64 x) (*.f64 1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 1/6 (pow.f64 x 3))) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/6 (pow.f64 x 3)) 1) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/6 (pow.f64 x 3)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/6 (pow.f64 x 3)) (sqrt.f64 (tan.f64 x))) (sqrt.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/6 (pow.f64 x 3)) (neg.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 3) -1/6) (neg.f64 (tan.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 x (cbrt.f64 (/.f64 1/6 (tan.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 1/6 (tan.f64 x))) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 1/36 (pow.f64 (tan.f64 x) 2)) (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) (/.f64 1/6 (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 (tan.f64 x)) 3) (pow.f64 (pow.f64 x 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (/.f64 1/6 (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 (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (/.f64 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/6 (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/6 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/6 (tan.f64 x))) (cbrt.f64 (/.f64 1/36 (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/36 (pow.f64 (tan.f64 x) 2))) (cbrt.f64 (/.f64 1/6 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1/6 (tan.f64 x))) (sqrt.f64 (/.f64 1/6 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/6 (/.f64 1 (neg.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (tan.f64 x)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/6 (sin.f64 x)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/6 (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/6 (tan.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/6 (tan.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1/6 (tan.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (tan.f64 x) 6) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/36 (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/6 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/6 (tan.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/6 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/6 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/6 (tan.f64 x))))))))

simplify67.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
1218×distribute-lft-out_binary64
764×associate-/l*_binary64
606×fma-def_binary64
404×associate-+l+_binary64
373×unswap-sqr_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
048347
1121345
2292343
3917343
42450343
55585343
67882343
Stop Event
1×node limit
Counts
68 → 63
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 x)
(+.f64 (*.f64 -1/18 x) (*.f64 1/6 (/.f64 1 x)))
(+.f64 (*.f64 -1/18 x) (+.f64 (*.f64 1/6 (/.f64 1 x)) (*.f64 -1/270 (pow.f64 x 3))))
(+.f64 (*.f64 -1/18 x) (+.f64 (*.f64 1/6 (/.f64 1 x)) (+.f64 (*.f64 -1/2835 (pow.f64 x 5)) (*.f64 -1/270 (pow.f64 x 3)))))
(*.f64 1/6 (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 1/6 (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 1/6 (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 1/6 (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 1/6 (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 1/6 (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 1/6 (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 1/6 (/.f64 (cos.f64 x) (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 -1/18 (pow.f64 x 4) (fma.f64 -1/270 (pow.f64 x 6) (*.f64 1/6 (*.f64 x x))))
(fma.f64 1/6 (*.f64 x x) (*.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x -1/270) -1/18)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/18) 1/6) (*.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) (*.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x -1/270) -1/18))))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(*.f64 (*.f64 1/6 (/.f64 (cos.f64 x) (sin.f64 x))) (pow.f64 x 3))
(*.f64 (pow.f64 x 3) (*.f64 (cos.f64 x) (/.f64 1/6 (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) (sin.f64 x)) (pow.f64 x 3)))
(*.f64 (*.f64 1/6 (/.f64 (cos.f64 x) (sin.f64 x))) (pow.f64 x 3))
(*.f64 (pow.f64 x 3) (*.f64 (cos.f64 x) (/.f64 1/6 (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) (sin.f64 x)) (pow.f64 x 3)))
(*.f64 (*.f64 1/6 (/.f64 (cos.f64 x) (sin.f64 x))) (pow.f64 x 3))
(*.f64 (pow.f64 x 3) (*.f64 (cos.f64 x) (/.f64 1/6 (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) (sin.f64 x)) (pow.f64 x 3)))
(*.f64 (*.f64 1/6 (/.f64 (cos.f64 x) (sin.f64 x))) (pow.f64 x 3))
(*.f64 (pow.f64 x 3) (*.f64 (cos.f64 x) (/.f64 1/6 (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) (sin.f64 x)) (pow.f64 x 3)))
(*.f64 (*.f64 1/6 (/.f64 (cos.f64 x) (sin.f64 x))) (pow.f64 x 3))
(*.f64 (pow.f64 x 3) (*.f64 (cos.f64 x) (/.f64 1/6 (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) (sin.f64 x)) (pow.f64 x 3)))
(*.f64 (*.f64 1/6 (/.f64 (cos.f64 x) (sin.f64 x))) (pow.f64 x 3))
(*.f64 (pow.f64 x 3) (*.f64 (cos.f64 x) (/.f64 1/6 (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) (sin.f64 x)) (pow.f64 x 3)))
(*.f64 (*.f64 1/6 (/.f64 (cos.f64 x) (sin.f64 x))) (pow.f64 x 3))
(*.f64 (pow.f64 x 3) (*.f64 (cos.f64 x) (/.f64 1/6 (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) (sin.f64 x)) (pow.f64 x 3)))
(*.f64 (*.f64 1/6 (/.f64 (cos.f64 x) (sin.f64 x))) (pow.f64 x 3))
(*.f64 (pow.f64 x 3) (*.f64 (cos.f64 x) (/.f64 1/6 (sin.f64 x))))
(/.f64 1/6 x)
(+.f64 (*.f64 -1/18 x) (*.f64 1/6 (/.f64 1 x)))
(fma.f64 -1/18 x (/.f64 1/6 x))
(fma.f64 x -1/18 (/.f64 1/6 x))
(+.f64 (*.f64 -1/18 x) (+.f64 (*.f64 1/6 (/.f64 1 x)) (*.f64 -1/270 (pow.f64 x 3))))
(+.f64 (fma.f64 -1/18 x (/.f64 1/6 x)) (*.f64 -1/270 (pow.f64 x 3)))
(fma.f64 x -1/18 (fma.f64 -1/270 (pow.f64 x 3) (/.f64 1/6 x)))
(fma.f64 x (fma.f64 x (*.f64 x -1/270) -1/18) (/.f64 1/6 x))
(+.f64 (*.f64 -1/18 x) (+.f64 (*.f64 1/6 (/.f64 1 x)) (+.f64 (*.f64 -1/2835 (pow.f64 x 5)) (*.f64 -1/270 (pow.f64 x 3)))))
(+.f64 (fma.f64 -1/18 x (/.f64 1/6 x)) (fma.f64 -1/2835 (pow.f64 x 5) (*.f64 -1/270 (pow.f64 x 3))))
(+.f64 (fma.f64 x -1/18 (/.f64 1/6 x)) (fma.f64 -1/270 (pow.f64 x 3) (*.f64 -1/2835 (pow.f64 x 5))))
(fma.f64 x -1/18 (fma.f64 -1/270 (pow.f64 x 3) (fma.f64 -1/2835 (pow.f64 x 5) (/.f64 1/6 x))))
(fma.f64 x (fma.f64 x (*.f64 x -1/270) -1/18) (fma.f64 -1/2835 (pow.f64 x 5) (/.f64 1/6 x)))
(*.f64 1/6 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 1/6 (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 (cos.f64 x) (/.f64 1/6 (sin.f64 x)))
(*.f64 1/6 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 1/6 (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 (cos.f64 x) (/.f64 1/6 (sin.f64 x)))
(*.f64 1/6 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 1/6 (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 (cos.f64 x) (/.f64 1/6 (sin.f64 x)))
(*.f64 1/6 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 1/6 (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 (cos.f64 x) (/.f64 1/6 (sin.f64 x)))
(*.f64 1/6 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 1/6 (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 (cos.f64 x) (/.f64 1/6 (sin.f64 x)))
(*.f64 1/6 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 1/6 (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 (cos.f64 x) (/.f64 1/6 (sin.f64 x)))
(*.f64 1/6 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 1/6 (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 (cos.f64 x) (/.f64 1/6 (sin.f64 x)))
(*.f64 1/6 (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 1/6 (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 (cos.f64 x) (/.f64 1/6 (sin.f64 x)))

localize10.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓2.3b
(log.f64 (exp.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))))
✓2.3b
(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))
Compiler

Compiled 34 to 7 computations (79.4% saved)

series29.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
25.0ms
x
@inf
(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))
2.0ms
x
@-inf
(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))
1.0ms
x
@0
(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))
0.0ms
x
@-inf
(log.f64 (exp.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))))
0.0ms
x
@0
(log.f64 (exp.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))))

rewrite73.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0822
116122
2225122
Stop Event
1×node limit
Counts
2 → 81
Calls
Call 1
Inputs
(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))
(log.f64 (exp.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))))
Outputs
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(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 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)))))))

simplify67.0ms (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
030400
169376
2154376
3454352
42120352
54708352
65571352
Stop Event
1×node limit
Counts
105 → 55
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)))
(*.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))))
(*.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))))

eval192.0ms (0.9%)

Compiler

Compiled 6153 to 4108 computations (33.2% saved)

prune95.0ms (0.4%)

Pruning

18 alts after pruning (12 fresh and 6 done)

PrunedKeptTotal
New3467353
Fresh358
Picked101
Done369
Total35318371
Error
0.0b
Counts
371 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
✓12.3b
(/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))
✓17.4b
(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
0.5b
(*.f64 (*.f64 (*.f64 x (sqrt.f64 1/6)) x) (sqrt.f64 1/6))
0.3b
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6))
0.8b
(fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6))) (*.f64 -143/604800 (pow.f64 x 8))))
12.4b
(*.f64 (+.f64 (*.f64 -1/18 x) (*.f64 1/6 (/.f64 1 x))) (pow.f64 x 3))
✓30.5b
(*.f64 x (-.f64 (+.f64 1 (*.f64 1/6 x)) 1))
0.2b
(fma.f64 -11/15120 (pow.f64 x 6) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6))))
12.4b
(*.f64 (/.f64 1/6 x) (pow.f64 x 3))
12.2b
(/.f64 (+.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))))) (tan.f64 x))
✓0.4b
(*.f64 x (*.f64 1/6 x))
31.0b
(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))
✓0.6b
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
0.9b
(pow.f64 (*.f64 x (cbrt.f64 (/.f64 1/6 (tan.f64 x)))) 3)
0.2b
(fma.f64 -11/15120 (pow.f64 x 6) (+.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) -23/360) (*.f64 x x)) (*.f64 1/6 (*.f64 x x))) (*.f64 -143/604800 (pow.f64 x 8))))
✓0.5b
(*.f64 1/6 (*.f64 x x))
31.2b
(-.f64 (+.f64 1 (*.f64 (*.f64 x x) 1/6)) 1)
0.2b
(fma.f64 -11/15120 (pow.f64 x 6) (+.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6)) (-.f64 (+.f64 1 (*.f64 -143/604800 (pow.f64 x 8))) 1)))
Compiler

Compiled 245 to 180 computations (26.5% saved)

regimes44.0ms (0.2%)

Counts
38 → 1
Calls
Call 1
Inputs
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (*.f64 x x))
(-.f64 (+.f64 1 (*.f64 (*.f64 x x) 1/6)) 1)
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)
(*.f64 x (-.f64 (+.f64 1 (*.f64 1/6 x)) 1))
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)
(*.f64 (/.f64 1/6 x) (pow.f64 x 3))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6))
(*.f64 (+.f64 (*.f64 -1/18 x) (*.f64 1/6 (/.f64 1 x))) (pow.f64 x 3))
(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
(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 x (pow.f64 (sqrt.f64 (*.f64 1/6 x)) 2))
(*.f64 (/.f64 1/6 (tan.f64 x)) (pow.f64 x 3))
(*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x)))
(pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)
(/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))
(*.f64 (*.f64 (*.f64 x (sqrt.f64 1/6)) x) (sqrt.f64 1/6))
(*.f64 (/.f64 1 (tan.f64 x)) (-.f64 x (sin.f64 x)))
(pow.f64 (*.f64 x (cbrt.f64 (/.f64 1/6 (tan.f64 x)))) 3)
(/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))
(fma.f64 -11/15120 (pow.f64 x 6) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -11/15120 (pow.f64 x 6)))
(fma.f64 -11/15120 (pow.f64 x 6) (+.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) -23/360) (*.f64 x x)) (*.f64 1/6 (*.f64 x x))) (*.f64 -143/604800 (pow.f64 x 8))))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 1/6))) 2) 3)
(log.f64 (exp.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))))
(pow.f64 (/.f64 (*.f64 x (cbrt.f64 1/6)) (cbrt.f64 (tan.f64 x))) 3)
(sqrt.f64 (/.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (tan.f64 x) 2)))
(pow.f64 (pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 3) 1/3)
(/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5)))) (tan.f64 x))
(fma.f64 -11/15120 (pow.f64 x 6) (+.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6)) (*.f64 -143/604800 (pow.f64 x 8))))
(+.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 -11/15120 (pow.f64 x 6) (+.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6)) (-.f64 (+.f64 1 (*.f64 -143/604800 (pow.f64 x 8))) 1)))
(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))))
(fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (-.f64 (+.f64 1 (*.f64 -143/604800 (pow.f64 x 8))) 1)))
(/.f64 (+.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))))) (tan.f64 x))
(fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6))) (*.f64 -143/604800 (pow.f64 x 8))))
Outputs
(fma.f64 -11/15120 (pow.f64 x 6) (+.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6)) (-.f64 (+.f64 1 (*.f64 -143/604800 (pow.f64 x 8))) 1)))
Calls

3 calls:

18.0ms
x
4.0ms
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
4.0ms
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Results
ErrorSegmentsBranch
0.2b1x
0.2b1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
0.2b1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Compiler

Compiled 493 to 323 computations (34.5% saved)

regimes35.0ms (0.2%)

Counts
33 → 1
Calls
Call 1
Inputs
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (*.f64 x x))
(-.f64 (+.f64 1 (*.f64 (*.f64 x x) 1/6)) 1)
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)
(*.f64 x (-.f64 (+.f64 1 (*.f64 1/6 x)) 1))
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)
(*.f64 (/.f64 1/6 x) (pow.f64 x 3))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6))
(*.f64 (+.f64 (*.f64 -1/18 x) (*.f64 1/6 (/.f64 1 x))) (pow.f64 x 3))
(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
(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 x (pow.f64 (sqrt.f64 (*.f64 1/6 x)) 2))
(*.f64 (/.f64 1/6 (tan.f64 x)) (pow.f64 x 3))
(*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x)))
(pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)
(/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))
(*.f64 (*.f64 (*.f64 x (sqrt.f64 1/6)) x) (sqrt.f64 1/6))
(*.f64 (/.f64 1 (tan.f64 x)) (-.f64 x (sin.f64 x)))
(pow.f64 (*.f64 x (cbrt.f64 (/.f64 1/6 (tan.f64 x)))) 3)
(/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))
(fma.f64 -11/15120 (pow.f64 x 6) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -11/15120 (pow.f64 x 6)))
(fma.f64 -11/15120 (pow.f64 x 6) (+.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) -23/360) (*.f64 x x)) (*.f64 1/6 (*.f64 x x))) (*.f64 -143/604800 (pow.f64 x 8))))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 1/6))) 2) 3)
(log.f64 (exp.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))))
(pow.f64 (/.f64 (*.f64 x (cbrt.f64 1/6)) (cbrt.f64 (tan.f64 x))) 3)
(sqrt.f64 (/.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (tan.f64 x) 2)))
(pow.f64 (pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 3) 1/3)
(/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5)))) (tan.f64 x))
(fma.f64 -11/15120 (pow.f64 x 6) (+.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6)) (*.f64 -143/604800 (pow.f64 x 8))))
(+.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)))))
Outputs
(fma.f64 -11/15120 (pow.f64 x 6) (+.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) -23/360) (*.f64 x x)) (*.f64 1/6 (*.f64 x x))) (*.f64 -143/604800 (pow.f64 x 8))))
Calls

3 calls:

15.0ms
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
0.2b1x
0.2b1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
0.2b1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Compiler

Compiled 372 to 240 computations (35.5% saved)

regimes23.0ms (0.1%)

Counts
24 → 1
Calls
Call 1
Inputs
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (*.f64 x x))
(-.f64 (+.f64 1 (*.f64 (*.f64 x x) 1/6)) 1)
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)
(*.f64 x (-.f64 (+.f64 1 (*.f64 1/6 x)) 1))
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)
(*.f64 (/.f64 1/6 x) (pow.f64 x 3))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6))
(*.f64 (+.f64 (*.f64 -1/18 x) (*.f64 1/6 (/.f64 1 x))) (pow.f64 x 3))
(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
(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 x (pow.f64 (sqrt.f64 (*.f64 1/6 x)) 2))
(*.f64 (/.f64 1/6 (tan.f64 x)) (pow.f64 x 3))
(*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x)))
(pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)
(/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))
(*.f64 (*.f64 (*.f64 x (sqrt.f64 1/6)) x) (sqrt.f64 1/6))
(*.f64 (/.f64 1 (tan.f64 x)) (-.f64 x (sin.f64 x)))
(pow.f64 (*.f64 x (cbrt.f64 (/.f64 1/6 (tan.f64 x)))) 3)
(/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))
(fma.f64 -11/15120 (pow.f64 x 6) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -11/15120 (pow.f64 x 6)))
Outputs
(fma.f64 -11/15120 (pow.f64 x 6) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6))))
Calls

2 calls:

12.0ms
x
3.0ms
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Results
ErrorSegmentsBranch
0.2b1x
0.2b1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Compiler

Compiled 224 to 144 computations (35.7% saved)

regimes23.0ms (0.1%)

Counts
22 → 1
Calls
Call 1
Inputs
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (*.f64 x x))
(-.f64 (+.f64 1 (*.f64 (*.f64 x x) 1/6)) 1)
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)
(*.f64 x (-.f64 (+.f64 1 (*.f64 1/6 x)) 1))
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)
(*.f64 (/.f64 1/6 x) (pow.f64 x 3))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6))
(*.f64 (+.f64 (*.f64 -1/18 x) (*.f64 1/6 (/.f64 1 x))) (pow.f64 x 3))
(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
(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 x (pow.f64 (sqrt.f64 (*.f64 1/6 x)) 2))
(*.f64 (/.f64 1/6 (tan.f64 x)) (pow.f64 x 3))
(*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x)))
(pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)
(/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))
(*.f64 (*.f64 (*.f64 x (sqrt.f64 1/6)) x) (sqrt.f64 1/6))
(*.f64 (/.f64 1 (tan.f64 x)) (-.f64 x (sin.f64 x)))
(pow.f64 (*.f64 x (cbrt.f64 (/.f64 1/6 (tan.f64 x)))) 3)
(/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))
Outputs
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6))
Calls

2 calls:

12.0ms
x
5.0ms
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Results
ErrorSegmentsBranch
0.3b1x
0.3b1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Compiler

Compiled 194 to 126 computations (35.1% saved)

regimes7.0ms (0%)

Accuracy

Total -30.7b remaining (-6888.7%)

Threshold costs -30.7b (-6888.7%)

Counts
7 → 1
Calls
Call 1
Inputs
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (*.f64 x x))
(-.f64 (+.f64 1 (*.f64 (*.f64 x x) 1/6)) 1)
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)
(*.f64 x (-.f64 (+.f64 1 (*.f64 1/6 x)) 1))
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)
(*.f64 (/.f64 1/6 x) (pow.f64 x 3))
Outputs
(*.f64 x (*.f64 1/6 x))
Calls

1 calls:

5.0ms
x
Results
ErrorSegmentsBranch
0.4b1x
Compiler

Compiled 56 to 38 computations (32.1% saved)

simplify9.0ms (0%)

Algorithm
1×egg-herbie
Rules
10×*-commutative_binary64
5×+-commutative_binary64
1×sub-neg_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032116
151116
252116
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(fma.f64 -11/15120 (pow.f64 x 6) (+.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6)) (-.f64 (+.f64 1 (*.f64 -143/604800 (pow.f64 x 8))) 1)))
(fma.f64 -11/15120 (pow.f64 x 6) (+.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) -23/360) (*.f64 x x)) (*.f64 1/6 (*.f64 x x))) (*.f64 -143/604800 (pow.f64 x 8))))
(fma.f64 -11/15120 (pow.f64 x 6) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6))
(*.f64 x (*.f64 1/6 x))
Outputs
(fma.f64 -11/15120 (pow.f64 x 6) (+.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6)) (-.f64 (+.f64 1 (*.f64 -143/604800 (pow.f64 x 8))) 1)))
(fma.f64 -11/15120 (pow.f64 x 6) (+.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6)) (+.f64 (+.f64 1 (*.f64 -143/604800 (pow.f64 x 8))) -1)))
(fma.f64 -11/15120 (pow.f64 x 6) (+.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) -23/360) (*.f64 x x)) (*.f64 1/6 (*.f64 x x))) (*.f64 -143/604800 (pow.f64 x 8))))
(fma.f64 -11/15120 (pow.f64 x 6) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) -23/360)) (*.f64 (*.f64 x x) 1/6))))
(fma.f64 -11/15120 (pow.f64 x 6) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6))
(*.f64 x (*.f64 1/6 x))
(*.f64 x (*.f64 x 1/6))
Compiler

Compiled 86 to 57 computations (33.7% saved)

soundness135.0ms (0.6%)

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
Compiler

Compiled 422 to 344 computations (18.5% saved)

end72.0ms (0.3%)

Compiler

Compiled 82 to 51 computations (37.8% saved)

Profiling

Loading profile data...