Details

Time bar (total: 23.8s)

analyze3.0ms (0%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%50%50%0
0%50%50%1
0%50%50%2
37.5%12.5%50%3
43.7%6.2%50%4
46.8%3.1%50%5
48.4%1.6%50%6
49.2%0.8%50%7
49.6%0.4%50%8
49.8%0.2%50%9
49.9%0.1%50%10
49.9%0%50%11
49.9%0%50%12
Compiler

Compiled 15 to 10 computations (33.3% saved)

sample17.4s (73.2%)

Results
14.7s4319×body2048valid
1.9s2070×body1024valid
583.0ms1026×body512valid
175.0ms841×body256valid

preprocess98.0ms (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)

simplify82.0ms (0.3%)

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))

eval1.0ms (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
29.7b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶29.7b
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Compiler

Compiled 8 to 5 computations (37.5% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
✓4.9b
(-.f64 x (sin.f64 x))
Compiler

Compiled 17 to 5 computations (70.6% saved)

series10.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@0
(-.f64 x (sin.f64 x))
2.0ms
x
@-inf
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
2.0ms
x
@inf
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
1.0ms
x
@0
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
1.0ms
x
@inf
(-.f64 x (sin.f64 x))

rewrite96.0ms (0.4%)

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))))))))

simplify104.0ms (0.4%)

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))))

eval37.0ms (0.2%)

Compiler

Compiled 1218 to 470 computations (61.4% saved)

prune76.0ms (0.3%)

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New781391
Fresh000
Picked011
Done000
Total781492
Error
0.1b
Counts
92 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
▶29.8b
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))
9.9b
(/.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))
✓29.7b
(/.f64 (-.f64 x (sin.f64 x)) (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 -143/604800 (pow.f64 x 8))))
▶10.4b
(/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))
29.7b
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 3)
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)))))
11.1b
(/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))
29.8b
(-.f64 (+.f64 1 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 1)
▶1.5b
(*.f64 1/6 (*.f64 x x))
29.8b
(-.f64 (/.f64 x (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x)))
▶10.1b
(/.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
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -11/15120 (pow.f64 x 6)))
0.8b
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6))
Compiler

Compiled 396 to 289 computations (27% saved)

localize45.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series49.0ms (0.2%)

Counts
4 → 36
Calls

12 calls:

TimeVariablePointExpression
3.0ms
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))
1.0ms
x
@inf
(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))))
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)))

rewrite156.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
529×log-prod_binary64
346×pow2_binary64
299×pow-prod-down_binary64
242×expm1-udef_binary64
242×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01564
131864
2341764
Stop Event
1×node limit
Counts
4 → 117
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))
(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 (*.f64 x x) -23/360 1/6)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -143/604800 (pow.f64 x 8)) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 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 0 (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 (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6))) 1) (*.f64 -143/604800 (pow.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6) (*.f64 -143/604800 (pow.f64 x 8))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (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 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6) (*.f64 -143/604800 (pow.f64 x 8)))))) (log.f64 (sqrt.f64 (exp.f64 (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 (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 (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 (*.f64 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 x (*.f64 x -23/360) 1/6) (*.f64 -143/604800 (pow.f64 x 8)))) 2) (cbrt.f64 (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 (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6) (*.f64 -143/604800 (pow.f64 x 8)))) (sqrt.f64 (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 (+.f64 (*.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x (*.f64 x -23/360) 1/6) 3)) (pow.f64 (*.f64 -143/604800 (pow.f64 x 8)) 3)) (+.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6))) 2) (-.f64 (*.f64 (pow.f64 x 16) 20449/365783040000) (*.f64 (*.f64 x (*.f64 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 (-.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6))) 2) (*.f64 (pow.f64 x 16) 20449/365783040000)) (-.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 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 x (*.f64 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 x (*.f64 x -23/360) 1/6) (*.f64 -143/604800 (pow.f64 x 8))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 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 x (*.f64 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 x (*.f64 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 x (*.f64 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 x (*.f64 x -23/360) 1/6) (*.f64 -143/604800 (pow.f64 x 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (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 log.f64 (*.f64 (pow.f64 (exp.f64 -143/604800) (pow.f64 x 8)) (exp.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -143/604800 (pow.f64 x 8)))) (exp.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6)))) (+.f64 1 (expm1.f64 (*.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 x (*.f64 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 x (*.f64 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 x (*.f64 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 x (*.f64 x -23/360) 1/6) (*.f64 -143/604800 (pow.f64 x 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.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 exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6) (*.f64 -143/604800 (pow.f64 x 8))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6) (*.f64 -143/604800 (pow.f64 x 8))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify136.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
691×distribute-rgt-out_binary64
526×associate-+l+_binary64
514×distribute-lft-out_binary64
455×associate-+r+_binary64
413×unswap-sqr_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030504
177486
2166486
3440486
42023486
54541486
64925486
75432486
86498486
97494486
107933486
Stop Event
1×node limit
Counts
153 → 140
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))))
(*.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 -143/604800 (pow.f64 x 8))
(+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -143/604800 (pow.f64 x 8)))
(+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (+.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 -11/15120 (pow.f64 x 6)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (*.f64 -23/360 (pow.f64 x 4)))))
(*.f64 -143/604800 (pow.f64 x 8))
(+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -143/604800 (pow.f64 x 8)))
(+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (+.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 -11/15120 (pow.f64 x 6)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (*.f64 -23/360 (pow.f64 x 4)))))
1/6
(+.f64 1/6 (*.f64 -23/360 (pow.f64 x 2)))
(+.f64 1/6 (*.f64 -23/360 (pow.f64 x 2)))
(+.f64 1/6 (*.f64 -23/360 (pow.f64 x 2)))
(*.f64 -23/360 (pow.f64 x 2))
(+.f64 1/6 (*.f64 -23/360 (pow.f64 x 2)))
(+.f64 1/6 (*.f64 -23/360 (pow.f64 x 2)))
(+.f64 1/6 (*.f64 -23/360 (pow.f64 x 2)))
(*.f64 -23/360 (pow.f64 x 2))
(+.f64 1/6 (*.f64 -23/360 (pow.f64 x 2)))
(+.f64 1/6 (*.f64 -23/360 (pow.f64 x 2)))
(+.f64 1/6 (*.f64 -23/360 (pow.f64 x 2)))
Outputs
(*.f64 1/6 (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 (*.f64 x x) -23/360 1/6))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -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 (pow.f64 x 4) (fma.f64 (pow.f64 x 4) -143/604800 -23/360) (*.f64 1/6 (*.f64 x x)))
(fma.f64 1/6 (*.f64 x x) (*.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 (pow.f64 x 4) (fma.f64 (pow.f64 x 4) -143/604800 -23/360) (*.f64 1/6 (*.f64 x x)))
(fma.f64 1/6 (*.f64 x x) (*.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 4) -143/604800 -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)))
(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 (pow.f64 x 4) (fma.f64 (pow.f64 x 4) -143/604800 -23/360) (*.f64 1/6 (*.f64 x x)))
(fma.f64 1/6 (*.f64 x x) (*.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 (pow.f64 x 4) (fma.f64 (pow.f64 x 4) -143/604800 -23/360) (*.f64 1/6 (*.f64 x x)))
(fma.f64 1/6 (*.f64 x x) (*.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 4) -143/604800 -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)))
(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 (pow.f64 x 4) (fma.f64 (pow.f64 x 4) -143/604800 -23/360) (*.f64 1/6 (*.f64 x x)))
(fma.f64 1/6 (*.f64 x x) (*.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 (pow.f64 x 4) (fma.f64 (pow.f64 x 4) -143/604800 -23/360) (*.f64 1/6 (*.f64 x x)))
(fma.f64 1/6 (*.f64 x x) (*.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 4) -143/604800 -23/360)))
(*.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 (*.f64 x x) -23/360 1/6))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -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 -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 -11/15120 (pow.f64 x 6) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 4) -143/604800 -23/360) (*.f64 1/6 (*.f64 x x))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -11/15120 (pow.f64 x 6)))))
(*.f64 -143/604800 (pow.f64 x 8))
(+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -143/604800 (pow.f64 x 8)))
(fma.f64 -11/15120 (pow.f64 x 6) (*.f64 -143/604800 (pow.f64 x 8)))
(fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -11/15120 (pow.f64 x 6)))
(+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (*.f64 -23/360 (pow.f64 x 4))))
(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 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))))
(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 -11/15120 (pow.f64 x 6) (*.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 4) -143/604800 -23/360)))
(fma.f64 -23/360 (pow.f64 x 4) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -11/15120 (pow.f64 x 6))))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (+.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) (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 -11/15120 (pow.f64 x 6) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 4) -143/604800 -23/360) (*.f64 1/6 (*.f64 x x))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -11/15120 (pow.f64 x 6)))))
(*.f64 -143/604800 (pow.f64 x 8))
(+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -143/604800 (pow.f64 x 8)))
(fma.f64 -11/15120 (pow.f64 x 6) (*.f64 -143/604800 (pow.f64 x 8)))
(fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -11/15120 (pow.f64 x 6)))
(+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (*.f64 -23/360 (pow.f64 x 4))))
(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 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))))
(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 -11/15120 (pow.f64 x 6) (*.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 4) -143/604800 -23/360)))
(fma.f64 -23/360 (pow.f64 x 4) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -11/15120 (pow.f64 x 6))))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (+.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) (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 -11/15120 (pow.f64 x 6) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 4) -143/604800 -23/360) (*.f64 1/6 (*.f64 x x))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -11/15120 (pow.f64 x 6)))))
1/6
(+.f64 1/6 (*.f64 -23/360 (pow.f64 x 2)))
(+.f64 1/6 (*.f64 (*.f64 x x) -23/360))
(fma.f64 (*.f64 x x) -23/360 1/6)
(+.f64 1/6 (*.f64 -23/360 (pow.f64 x 2)))
(+.f64 1/6 (*.f64 (*.f64 x x) -23/360))
(fma.f64 (*.f64 x x) -23/360 1/6)
(+.f64 1/6 (*.f64 -23/360 (pow.f64 x 2)))
(+.f64 1/6 (*.f64 (*.f64 x x) -23/360))
(fma.f64 (*.f64 x x) -23/360 1/6)
(*.f64 -23/360 (pow.f64 x 2))
(*.f64 (*.f64 x x) -23/360)
(*.f64 x (*.f64 x -23/360))
(+.f64 1/6 (*.f64 -23/360 (pow.f64 x 2)))
(+.f64 1/6 (*.f64 (*.f64 x x) -23/360))
(fma.f64 (*.f64 x x) -23/360 1/6)
(+.f64 1/6 (*.f64 -23/360 (pow.f64 x 2)))
(+.f64 1/6 (*.f64 (*.f64 x x) -23/360))
(fma.f64 (*.f64 x x) -23/360 1/6)
(+.f64 1/6 (*.f64 -23/360 (pow.f64 x 2)))
(+.f64 1/6 (*.f64 (*.f64 x x) -23/360))
(fma.f64 (*.f64 x x) -23/360 1/6)
(*.f64 -23/360 (pow.f64 x 2))
(*.f64 (*.f64 x x) -23/360)
(*.f64 x (*.f64 x -23/360))
(+.f64 1/6 (*.f64 -23/360 (pow.f64 x 2)))
(+.f64 1/6 (*.f64 (*.f64 x x) -23/360))
(fma.f64 (*.f64 x x) -23/360 1/6)
(+.f64 1/6 (*.f64 -23/360 (pow.f64 x 2)))
(+.f64 1/6 (*.f64 (*.f64 x x) -23/360))
(fma.f64 (*.f64 x x) -23/360 1/6)
(+.f64 1/6 (*.f64 -23/360 (pow.f64 x 2)))
(+.f64 1/6 (*.f64 (*.f64 x x) -23/360))
(fma.f64 (*.f64 x x) -23/360 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)

series4.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(*.f64 1/6 (*.f64 x x))
1.0ms
x
@0
(*.f64 1/6 (*.f64 x x))
0.0ms
x
@-inf
(*.f64 1/6 (*.f64 x x))

rewrite48.0ms (0.2%)

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))))))))

simplify175.0ms (0.7%)

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))

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 x (sin.f64 x))
✓0.0b
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))
✓5.0b
(+.f64 -1 (/.f64 x (sin.f64 x)))
Compiler

Compiled 26 to 10 computations (61.5% saved)

series6.0ms (0%)

Counts
3 → 28
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(/.f64 x (sin.f64 x))
1.0ms
x
@inf
(+.f64 -1 (/.f64 x (sin.f64 x)))
1.0ms
x
@0
(+.f64 -1 (/.f64 x (sin.f64 x)))
1.0ms
x
@-inf
(+.f64 -1 (/.f64 x (sin.f64 x)))
0.0ms
x
@-inf
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))

rewrite108.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
446×log-prod_binary64
353×prod-exp_binary64
341×exp-prod_binary64
295×pow-prod-down_binary64
284×prod-diff_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0829
117529
2247029
Stop Event
1×node limit
Counts
3 → 172
Calls
Call 1
Inputs
(+.f64 -1 (/.f64 x (sin.f64 x)))
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))
(/.f64 x (sin.f64 x))
Outputs
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(sqrt.f64 (/.f64 x (sin.f64 x)))) (sqrt.f64 (/.f64 x (sin.f64 x))) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 x (sin.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 x (sin.f64 x)) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (sin.f64 x))) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) -2)) (cbrt.f64 (/.f64 x (sin.f64 x))))))) (#(struct:change #<rule 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (sin.f64 x) x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (sin.f64 x)))) 2)) (cbrt.f64 (log.f64 (/.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (sin.f64 x))))) (sqrt.f64 (log.f64 (/.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) 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 log.f64 (+.f64 1 (expm1.f64 (/.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) 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 exp.f64 (*.f64 (log.f64 (/.f64 x (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (sin.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (sin.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sin.f64 x) x) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x (sin.f64 x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 x (sin.f64 x))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 x) 1) (log.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 x) (*.f64 (log.f64 (sin.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 x) 1) (*.f64 (log.f64 (sin.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (neg.f64 (log.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (neg.f64 (log.f64 (sin.f64 x))) (*.f64 (log.f64 x) 1)))))))

simplify84.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
900×distribute-rgt-out_binary64
744×fma-def_binary64
578×associate-*l*_binary64
522×distribute-lft-in_binary64
436×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
050384
1123370
2280370
3848358
43712358
55776358
67300358
Stop Event
1×node limit
Counts
200 → 200
Calls
Call 1
Inputs
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (*.f64 7/360 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2)))
(+.f64 (*.f64 7/360 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 31/15120 (pow.f64 x 6))))
(+.f64 (*.f64 7/360 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 127/604800 (pow.f64 x 8)) (*.f64 31/15120 (pow.f64 x 6)))))
(/.f64 x (sin.f64 x))
(-.f64 (/.f64 x (sin.f64 x)) 1)
(-.f64 (/.f64 x (sin.f64 x)) 1)
(-.f64 (/.f64 x (sin.f64 x)) 1)
(/.f64 x (sin.f64 x))
(-.f64 (/.f64 x (sin.f64 x)) 1)
(-.f64 (/.f64 x (sin.f64 x)) 1)
(-.f64 (/.f64 x (sin.f64 x)) 1)
(*.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)))
1
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)
(+.f64 (*.f64 7/360 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1))
(+.f64 (*.f64 7/360 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 31/15120 (pow.f64 x 6)))))
Outputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(+.f64 (*.f64 7/360 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 7/360 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x)))
(fma.f64 1/6 (*.f64 x x) (*.f64 7/360 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x 7/360) 1/6))
(+.f64 (*.f64 7/360 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 31/15120 (pow.f64 x 6))))
(fma.f64 7/360 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) (*.f64 31/15120 (pow.f64 x 6))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 7/360 (pow.f64 x 4) (*.f64 31/15120 (pow.f64 x 6))))
(+.f64 (*.f64 7/360 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 127/604800 (pow.f64 x 8)) (*.f64 31/15120 (pow.f64 x 6)))))
(fma.f64 7/360 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) (fma.f64 127/604800 (pow.f64 x 8) (*.f64 31/15120 (pow.f64 x 6)))))
(fma.f64 7/360 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) (fma.f64 31/15120 (pow.f64 x 6) (*.f64 127/604800 (pow.f64 x 8)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 31/15120 (pow.f64 x 6) (fma.f64 7/360 (pow.f64 x 4) (*.f64 127/604800 (pow.f64 x 8)))))
(/.f64 x (sin.f64 x))
(-.f64 (/.f64 x (sin.f64 x)) 1)
(+.f64 (/.f64 x (sin.f64 x)) -1)
(-.f64 (/.f64 x (sin.f64 x)) 1)
(+.f64 (/.f64 x (sin.f64 x)) -1)
(-.f64 (/.f64 x (sin.f64 x)) 1)
(+.f64 (/.f64 x (sin.f64 x)) -1)
(/.f64 x (sin.f64 x))
(-.f64 (/.f64 x (sin.f64 x)) 1)
(+.f64 (/.f64 x (sin.f64 x)) -1)
(-.f64 (/.f64 x (sin.f64 x)) 1)
(+.f64 (/.f64 x (sin.f64 x)) -1)
(-.f64 (/.f64 x (sin.f64 x)) 1)
(+.f64 (/.f64 x (sin.f64 x)) -1)
(*.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 (pow.f64 x 4) -23/360))
(fma.f64 (pow.f64 x 4) -23/360 (*.f64 1/6 (*.f64 x x)))
(+.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 (pow.f64 x 4) -23/360)))
(fma.f64 1/6 (*.f64 x x) (fma.f64 (pow.f64 x 4) -23/360 (*.f64 (pow.f64 x 6) -11/15120)))
(+.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 (pow.f64 x 4) -23/360))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 (pow.f64 x 8) -143/604800 (fma.f64 (pow.f64 x 4) -23/360 (*.f64 (pow.f64 x 6) -11/15120))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 (pow.f64 x 4) -23/360 (fma.f64 (pow.f64 x 6) -11/15120 (*.f64 (pow.f64 x 8) -143/604800))))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))
(/.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 x (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 (/.f64 x (sin.f64 x)) (cos.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 x (/.f64 (sin.f64 x) (cos.f64 x))) (cos.f64 x))
(fma.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x (neg.f64 (cos.f64 x)))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
(+.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 x (/.f64 (sin.f64 x) (cos.f64 x))) (cos.f64 x))
(fma.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x (neg.f64 (cos.f64 x)))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
(+.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 x (/.f64 (sin.f64 x) (cos.f64 x))) (cos.f64 x))
(fma.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x (neg.f64 (cos.f64 x)))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))
(/.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 x (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 (/.f64 x (sin.f64 x)) (cos.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 x (/.f64 (sin.f64 x) (cos.f64 x))) (cos.f64 x))
(fma.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x (neg.f64 (cos.f64 x)))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
(+.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 x (/.f64 (sin.f64 x) (cos.f64 x))) (cos.f64 x))
(fma.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x (neg.f64 (cos.f64 x)))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
(+.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 x (/.f64 (sin.f64 x) (cos.f64 x))) (cos.f64 x))
(fma.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x (neg.f64 (cos.f64 x)))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
1
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)
(fma.f64 1/6 (*.f64 x x) 1)
(+.f64 (*.f64 7/360 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) 1))
(fma.f64 7/360 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) 1))
(fma.f64 1/6 (*.f64 x x) (fma.f64 7/360 (pow.f64 x 4) 1))
(+.f64 (*.f64 7/360 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 31/15120 (pow.f64 x 6)))))
(fma.f64 7/360 (pow.f64 x 4) (+.f64 (fma.f64 1/6 (*.f64 x x) 1) (*.f64 31/15120 (pow.f64 x 6))))
(fma.f64 7/360 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) (fma.f64 31/15120 (pow.f64 x 6) 1)))
(fma.f64 1/6 (*.f64 x x) (fma.f64 7/360 (pow.f64 x 4) (fma.f64 31/15120 (pow.f64 x 6) 1)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 7/360) 1/6) (fma.f64 31/15120 (pow.f64 x 6) 1))

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/120 (pow.f64 x 5)))
✓0.1b
(*.f64 -1/120 (pow.f64 x 5))
✓0.2b
(*.f64 1/6 (pow.f64 x 3))
✓9.9b
(/.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)

series7.0ms (0%)

Counts
4 → 15
Calls

12 calls:

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

rewrite88.0ms (0.4%)

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
01347
129547
2363347
Stop Event
1×node limit
Counts
4 → 136
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 -1/120 (pow.f64 x 5))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.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 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(*.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 1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 1/6)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 1/6))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.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 (*.f64 (pow.f64 x 6) 1/36) 1/2)))) (#(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 pow.f64 (*.f64 (pow.f64 x 9) 1/216) 1/3)))) (#(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 log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 9) 1/216))))) (#(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 (fma.f64 3 (log.f64 x) (log.f64 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log.f64 1/6)) 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))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 6) 1/36) (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/120 (pow.f64 x 5)))) (/.f64 (*.f64 (pow.f64 x 10) 1/14400) (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/120 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5)))) (cbrt.f64 (pow.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) 2)) (cbrt.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5)))))))) (#(struct:change 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(*.f64 -1/120 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/120 (cbrt.f64 (pow.f64 x 10))) (pow.f64 (cbrt.f64 x) 5) (*.f64 1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/120 (pow.f64 x 5/2)) (pow.f64 x 5/2) (*.f64 1/6 (pow.f64 x 3)))))))

simplify65.0ms (0.3%)

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

Useful iterations: 4 (0.0ms)

IterNodesCost
039329
196329
2250329
3848281
42340269
55929269
67303269
Stop Event
1×node limit
Counts
151 → 150
Calls
Call 1
Inputs
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -23/360 (pow.f64 x 4)) (*.f64 -1/1080 (pow.f64 x 6))))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -19/113400 (pow.f64 x 8)) (+.f64 (*.f64 -23/360 (pow.f64 x 4)) (*.f64 -1/1080 (pow.f64 x 6)))))
(*.f64 -1/120 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 5)) (sin.f64 x)))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x))) (*.f64 -1/120 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 5)) (sin.f64 x))))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x))) (*.f64 -1/120 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 5)) (sin.f64 x))))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x))) (*.f64 -1/120 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 5)) (sin.f64 x))))
(*.f64 -1/120 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 5)) (sin.f64 x)))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x))) (*.f64 -1/120 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 5)) (sin.f64 x))))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x))) (*.f64 -1/120 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 5)) (sin.f64 x))))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x))) (*.f64 -1/120 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 5)) (sin.f64 x))))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 -1/120 (pow.f64 x 5))
(*.f64 -1/120 (pow.f64 x 5))
Outputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -23/360 (pow.f64 x 4)) (*.f64 -1/1080 (pow.f64 x 6))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -1/1080 (pow.f64 x 6))))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6) (*.f64 -1/1080 (pow.f64 x 6)))
(*.f64 (*.f64 x x) (fma.f64 (pow.f64 x 4) -1/1080 (fma.f64 (*.f64 x x) -23/360 1/6)))
(fma.f64 (pow.f64 x 4) (fma.f64 (*.f64 x x) -1/1080 -23/360) (*.f64 1/6 (*.f64 x x)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -19/113400 (pow.f64 x 8)) (+.f64 (*.f64 -23/360 (pow.f64 x 4)) (*.f64 -1/1080 (pow.f64 x 6)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -19/113400 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -1/1080 (pow.f64 x 6)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -1/1080 (pow.f64 x 6) (fma.f64 -19/113400 (pow.f64 x 8) (*.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 -23/360 (pow.f64 x 4) (fma.f64 -1/1080 (pow.f64 x 6) (fma.f64 -19/113400 (pow.f64 x 8) (*.f64 1/6 (*.f64 x x)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (fma.f64 -1/1080 (pow.f64 x 6) (*.f64 -19/113400 (pow.f64 x 8)))))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6)) (*.f64 (pow.f64 x 6) (fma.f64 (*.f64 x x) -19/113400 -1/1080)))
(*.f64 -1/120 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 5)) (sin.f64 x)))
(*.f64 -1/120 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 5))))
(*.f64 -1/120 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 5)))
(*.f64 (/.f64 (*.f64 -1/120 (cos.f64 x)) (sin.f64 x)) (pow.f64 x 5))
(*.f64 (pow.f64 x 5) (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) -1/120)))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x))) (*.f64 -1/120 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 5)) (sin.f64 x))))
(fma.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)) (*.f64 -1/120 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 5)))))
(fma.f64 -1/120 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 5)) (*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3))))
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 x 3) (sin.f64 x)) (cos.f64 x)) (*.f64 (/.f64 (*.f64 -1/120 (cos.f64 x)) (sin.f64 x)) (pow.f64 x 5)))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (*.f64 -1/120 (pow.f64 x 5)) (*.f64 1/6 (pow.f64 x 3))))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x))) (*.f64 -1/120 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 5)) (sin.f64 x))))
(fma.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)) (*.f64 -1/120 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 5)))))
(fma.f64 -1/120 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 5)) (*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3))))
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 x 3) (sin.f64 x)) (cos.f64 x)) (*.f64 (/.f64 (*.f64 -1/120 (cos.f64 x)) (sin.f64 x)) (pow.f64 x 5)))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (*.f64 -1/120 (pow.f64 x 5)) (*.f64 1/6 (pow.f64 x 3))))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x))) (*.f64 -1/120 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 5)) (sin.f64 x))))
(fma.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)) (*.f64 -1/120 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 5)))))
(fma.f64 -1/120 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 5)) (*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3))))
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 x 3) (sin.f64 x)) (cos.f64 x)) (*.f64 (/.f64 (*.f64 -1/120 (cos.f64 x)) (sin.f64 x)) (pow.f64 x 5)))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (*.f64 -1/120 (pow.f64 x 5)) (*.f64 1/6 (pow.f64 x 3))))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))))
(*.f64 -1/120 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 5)) (sin.f64 x)))
(*.f64 -1/120 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 5))))
(*.f64 -1/120 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 5)))
(*.f64 (/.f64 (*.f64 -1/120 (cos.f64 x)) (sin.f64 x)) (pow.f64 x 5))
(*.f64 (pow.f64 x 5) (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) -1/120)))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x))) (*.f64 -1/120 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 5)) (sin.f64 x))))
(fma.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)) (*.f64 -1/120 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 5)))))
(fma.f64 -1/120 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 5)) (*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3))))
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 x 3) (sin.f64 x)) (cos.f64 x)) (*.f64 (/.f64 (*.f64 -1/120 (cos.f64 x)) (sin.f64 x)) (pow.f64 x 5)))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (*.f64 -1/120 (pow.f64 x 5)) (*.f64 1/6 (pow.f64 x 3))))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x))) (*.f64 -1/120 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 5)) (sin.f64 x))))
(fma.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)) (*.f64 -1/120 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 5)))))
(fma.f64 -1/120 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 5)) (*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3))))
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 x 3) (sin.f64 x)) (cos.f64 x)) (*.f64 (/.f64 (*.f64 -1/120 (cos.f64 x)) (sin.f64 x)) (pow.f64 x 5)))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (*.f64 -1/120 (pow.f64 x 5)) (*.f64 1/6 (pow.f64 x 3))))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x))) (*.f64 -1/120 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 5)) (sin.f64 x))))
(fma.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)) (*.f64 -1/120 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 5)))))
(fma.f64 -1/120 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 5)) (*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3))))
(fma.f64 1/6 (*.f64 (/.f64 (pow.f64 x 3) (sin.f64 x)) (cos.f64 x)) (*.f64 (/.f64 (*.f64 -1/120 (cos.f64 x)) (sin.f64 x)) (pow.f64 x 5)))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (*.f64 -1/120 (pow.f64 x 5)) (*.f64 1/6 (pow.f64 x 3))))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3))))
(*.f64 1/6 (pow.f64 x 3))
(*.f64 -1/120 (pow.f64 x 5))
(*.f64 -1/120 (pow.f64 x 5))

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 1/5040 (pow.f64 x 7))
0.1b
(*.f64 -1/120 (pow.f64 x 5))
0.2b
(*.f64 1/6 (pow.f64 x 3))
✓9.9b
(/.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))
Compiler

Compiled 82 to 64 computations (22% saved)

series4.0ms (0%)

Counts
2 → 12
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/.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))
1.0ms
x
@-inf
(/.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))
1.0ms
x
@0
(*.f64 1/5040 (pow.f64 x 7))
1.0ms
x
@0
(/.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))
0.0ms
x
@-inf
(*.f64 1/5040 (pow.f64 x 7))

rewrite87.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
641×fma-def_binary64
348×fma-neg_binary64
343×expm1-udef_binary64
343×log1p-udef_binary64
275×log-pow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01833
141533
2523833
Stop Event
1×node limit
Counts
2 → 47
Calls
Call 1
Inputs
(/.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))
(*.f64 1/5040 (pow.f64 x 7))
Outputs
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(pow.f64 x 3) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5)))) (sqrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))) 2) (sqrt.f64 (tan.f64 x))) (/.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/5040 (pow.f64 x 7) (*.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) (fma.f64 1/5040 (pow.f64 x 7) (*.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) (fma.f64 1/5040 (pow.f64 x 7) (*.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) (fma.f64 1/5040 (pow.f64 x 7) (*.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 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log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/5040 (pow.f64 x 7) (*.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) (fma.f64 1/5040 (pow.f64 x 7) (*.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) (fma.f64 1/5040 (pow.f64 x 7) (*.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) (fma.f64 1/5040 (pow.f64 x 7) (*.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) (fma.f64 1/5040 (pow.f64 x 7) (*.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) (fma.f64 1/5040 (pow.f64 x 7) (*.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) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5)))) (tan.f64 x))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/5040 (pow.f64 x 7)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/5040 (pow.f64 x 7)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/5040 (pow.f64 x 7))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/5040) (pow.f64 x 7/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (pow.f64 x 7) 3) 1/128024064000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 14) 1/25401600))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x 7)) 1/5040))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/5040 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 7) 3) 1/128024064000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/5040 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/5040 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 7 (log.f64 x) (log.f64 1/5040)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 7 (log.f64 x) (log.f64 1/5040)) 1))))))

simplify76.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
961×fma-def_binary64
865×distribute-lft-out_binary64
573×associate-*l/_binary64
480×associate-/r/_binary64
420×associate-/l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
043376
1109376
2281376
3923328
42606284
56670284
Stop Event
1×node limit
Counts
59 → 61
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 -53/226800 (pow.f64 x 8)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
(*.f64 1/5040 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 7)) (sin.f64 x)))
(+.f64 (*.f64 -1/120 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 5)) (sin.f64 x))) (*.f64 1/5040 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 7)) (sin.f64 x))))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x))) (+.f64 (*.f64 -1/120 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 5)) (sin.f64 x))) (*.f64 1/5040 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 7)) (sin.f64 x)))))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x))) (+.f64 (*.f64 -1/120 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 5)) (sin.f64 x))) (*.f64 1/5040 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 7)) (sin.f64 x)))))
(*.f64 1/5040 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 7)) (sin.f64 x)))
(+.f64 (*.f64 -1/120 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 5)) (sin.f64 x))) (*.f64 1/5040 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 7)) (sin.f64 x))))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x))) (+.f64 (*.f64 -1/120 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 5)) (sin.f64 x))) (*.f64 1/5040 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 7)) (sin.f64 x)))))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x))) (+.f64 (*.f64 -1/120 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 5)) (sin.f64 x))) (*.f64 1/5040 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 7)) (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 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 x x) (fma.f64 (pow.f64 x 4) -11/15120 (fma.f64 x (*.f64 x -23/360) 1/6)))
(+.f64 (*.f64 -53/226800 (pow.f64 x 8)) (+.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 -53/226800 (pow.f64 x 8) (fma.f64 1/6 (*.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 -53/226800 (pow.f64 x 8) (fma.f64 1/6 (*.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -53/226800 (pow.f64 x 8)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 (pow.f64 x 6) (fma.f64 (*.f64 x x) -53/226800 -11/15120))))
(*.f64 1/5040 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 7)) (sin.f64 x)))
(*.f64 1/5040 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 7)))
(*.f64 (/.f64 (*.f64 1/5040 (cos.f64 x)) (sin.f64 x)) (pow.f64 x 7))
(*.f64 (pow.f64 x 7) (/.f64 1/5040 (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 (cos.f64 x) (*.f64 (/.f64 1/5040 (sin.f64 x)) (pow.f64 x 7)))
(+.f64 (*.f64 -1/120 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 5)) (sin.f64 x))) (*.f64 1/5040 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 7)) (sin.f64 x))))
(fma.f64 -1/120 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 5))) (*.f64 1/5040 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 7)) (sin.f64 x))))
(fma.f64 1/5040 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 7)) (/.f64 (*.f64 (cos.f64 x) -1/120) (/.f64 (sin.f64 x) (pow.f64 x 5))))
(fma.f64 1/5040 (*.f64 (pow.f64 x 7) (/.f64 (cos.f64 x) (sin.f64 x))) (*.f64 -1/120 (*.f64 (pow.f64 x 5) (/.f64 (cos.f64 x) (sin.f64 x)))))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5))))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x))) (+.f64 (*.f64 -1/120 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 5)) (sin.f64 x))) (*.f64 1/5040 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 7)) (sin.f64 x)))))
(fma.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)) (fma.f64 -1/120 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 5))) (*.f64 1/5040 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 7)) (sin.f64 x)))))
(fma.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)) (fma.f64 1/5040 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 7)) (/.f64 (*.f64 (cos.f64 x) -1/120) (/.f64 (sin.f64 x) (pow.f64 x 5)))))
(fma.f64 1/5040 (*.f64 (pow.f64 x 7) (/.f64 (cos.f64 x) (sin.f64 x))) (fma.f64 -1/120 (*.f64 (pow.f64 x 5) (/.f64 (cos.f64 x) (sin.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 x 3) (/.f64 (cos.f64 x) (sin.f64 x))))))
(fma.f64 1/5040 (*.f64 (cos.f64 x) (/.f64 (pow.f64 x 7) (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 (cos.f64 x) (sin.f64 x)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5)))))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x))) (+.f64 (*.f64 -1/120 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 5)) (sin.f64 x))) (*.f64 1/5040 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 7)) (sin.f64 x)))))
(fma.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)) (fma.f64 -1/120 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 5))) (*.f64 1/5040 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 7)) (sin.f64 x)))))
(fma.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)) (fma.f64 1/5040 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 7)) (/.f64 (*.f64 (cos.f64 x) -1/120) (/.f64 (sin.f64 x) (pow.f64 x 5)))))
(fma.f64 1/5040 (*.f64 (pow.f64 x 7) (/.f64 (cos.f64 x) (sin.f64 x))) (fma.f64 -1/120 (*.f64 (pow.f64 x 5) (/.f64 (cos.f64 x) (sin.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 x 3) (/.f64 (cos.f64 x) (sin.f64 x))))))
(fma.f64 1/5040 (*.f64 (cos.f64 x) (/.f64 (pow.f64 x 7) (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 (cos.f64 x) (sin.f64 x)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5)))))
(*.f64 1/5040 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 7)) (sin.f64 x)))
(*.f64 1/5040 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 7)))
(*.f64 (/.f64 (*.f64 1/5040 (cos.f64 x)) (sin.f64 x)) (pow.f64 x 7))
(*.f64 (pow.f64 x 7) (/.f64 1/5040 (/.f64 (sin.f64 x) (cos.f64 x))))
(*.f64 (cos.f64 x) (*.f64 (/.f64 1/5040 (sin.f64 x)) (pow.f64 x 7)))
(+.f64 (*.f64 -1/120 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 5)) (sin.f64 x))) (*.f64 1/5040 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 7)) (sin.f64 x))))
(fma.f64 -1/120 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 5))) (*.f64 1/5040 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 7)) (sin.f64 x))))
(fma.f64 1/5040 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 7)) (/.f64 (*.f64 (cos.f64 x) -1/120) (/.f64 (sin.f64 x) (pow.f64 x 5))))
(fma.f64 1/5040 (*.f64 (pow.f64 x 7) (/.f64 (cos.f64 x) (sin.f64 x))) (*.f64 -1/120 (*.f64 (pow.f64 x 5) (/.f64 (cos.f64 x) (sin.f64 x)))))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5))))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x))) (+.f64 (*.f64 -1/120 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 5)) (sin.f64 x))) (*.f64 1/5040 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 7)) (sin.f64 x)))))
(fma.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)) (fma.f64 -1/120 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 5))) (*.f64 1/5040 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 7)) (sin.f64 x)))))
(fma.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)) (fma.f64 1/5040 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 7)) (/.f64 (*.f64 (cos.f64 x) -1/120) (/.f64 (sin.f64 x) (pow.f64 x 5)))))
(fma.f64 1/5040 (*.f64 (pow.f64 x 7) (/.f64 (cos.f64 x) (sin.f64 x))) (fma.f64 -1/120 (*.f64 (pow.f64 x 5) (/.f64 (cos.f64 x) (sin.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 x 3) (/.f64 (cos.f64 x) (sin.f64 x))))))
(fma.f64 1/5040 (*.f64 (cos.f64 x) (/.f64 (pow.f64 x 7) (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 (cos.f64 x) (sin.f64 x)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5)))))
(+.f64 (*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x))) (+.f64 (*.f64 -1/120 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 5)) (sin.f64 x))) (*.f64 1/5040 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 7)) (sin.f64 x)))))
(fma.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)) (fma.f64 -1/120 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 5))) (*.f64 1/5040 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 7)) (sin.f64 x)))))
(fma.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)) (fma.f64 1/5040 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 7)) (/.f64 (*.f64 (cos.f64 x) -1/120) (/.f64 (sin.f64 x) (pow.f64 x 5)))))
(fma.f64 1/5040 (*.f64 (pow.f64 x 7) (/.f64 (cos.f64 x) (sin.f64 x))) (fma.f64 -1/120 (*.f64 (pow.f64 x 5) (/.f64 (cos.f64 x) (sin.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 x 3) (/.f64 (cos.f64 x) (sin.f64 x))))))
(fma.f64 1/5040 (*.f64 (cos.f64 x) (/.f64 (pow.f64 x 7) (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 (cos.f64 x) (sin.f64 x)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5)))))

eval388.0ms (1.6%)

Compiler

Compiled 11836 to 7764 computations (34.4% saved)

prune333.0ms (1.4%)

Pruning

24 alts after pruning (19 fresh and 5 done)

PrunedKeptTotal
New58813601
Fresh268
Picked011
Done145
Total59124615
Error
0.0b
Counts
615 → 24
Alt Table
Click to see full alt table
StatusErrorProgram
✓29.8b
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))
9.9b
(/.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))
1.4b
(*.f64 (cos.f64 x) (*.f64 1/6 (*.f64 x x)))
▶1.5b
(*.f64 x (*.f64 1/6 x))
✓29.7b
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
✓10.4b
(/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.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) (+.f64 (*.f64 (*.f64 x x) -23/360) 1/6) (*.f64 -143/604800 (pow.f64 x 8))))
▶29.7b
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 3)
4.0b
(exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))
▶11.1b
(/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))
59.8b
(*.f64 (cos.f64 x) (fma.f64 (/.f64 1 (sin.f64 x)) x -1))
0.5b
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -11/15120 (pow.f64 x 6)))
0.4b
(fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 (*.f64 x x) (exp.f64 (log.f64 (fma.f64 x (*.f64 x -23/360) 1/6))) (*.f64 -143/604800 (pow.f64 x 8))))
0.8b
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6)))
10.5b
(*.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) (/.f64 1 (tan.f64 x)))
✓1.5b
(*.f64 1/6 (*.f64 x x))
29.8b
(-.f64 (+.f64 1 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 1)
14.1b
(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
1.6b
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
30.5b
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)
0.5b
(fma.f64 -11/15120 (pow.f64 x 6) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4))))
✓10.1b
(/.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))
49.9b
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 10) 1/14400) (*.f64 (pow.f64 x 6) 1/36)) (-.f64 (*.f64 -1/120 (pow.f64 x 5)) (*.f64 1/6 (pow.f64 x 3)))) (tan.f64 x))
▶0.8b
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6))
Compiler

Compiled 580 to 433 computations (25.3% saved)

localize77.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) -23/360) 1/6) (*.f64 -143/604800 (pow.f64 x 8))))
0.1b
(*.f64 -143/604800 (pow.f64 x 8))
✓0.2b
(fma.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) -23/360) 1/6) (*.f64 -143/604800 (pow.f64 x 8)))
✓0.2b
(*.f64 (*.f64 x x) -23/360)
Compiler

Compiled 71 to 44 computations (38% saved)

series5.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 (*.f64 x x) -23/360)
1.0ms
x
@inf
(*.f64 (*.f64 x x) -23/360)
1.0ms
x
@0
(fma.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) -23/360) 1/6) (*.f64 -143/604800 (pow.f64 x 8)))
1.0ms
x
@inf
(fma.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) -23/360) 1/6) (*.f64 -143/604800 (pow.f64 x 8)))
0.0ms
x
@inf
(fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) -23/360) 1/6) (*.f64 -143/604800 (pow.f64 x 8))))

rewrite177.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
632×log-prod_binary64
395×prod-diff_binary64
391×pow2_binary64
272×expm1-udef_binary64
272×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01656
135056
2395056
Stop Event
1×node limit
Counts
3 → 75
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) -23/360)
(fma.f64 (*.f64 x x) (+.f64 (*.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) (+.f64 (*.f64 (*.f64 x x) -23/360) 1/6) (*.f64 -143/604800 (pow.f64 x 8))))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -143/604800 (pow.f64 x 8)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.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 0 (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 (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6)) 1) (*.f64 -143/604800 (pow.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6) (*.f64 -143/604800 (pow.f64 x 8))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (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 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6) 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((#(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))) (*.f64 -11/15120 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -11/15120 (pow.f64 x 6)) (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 0 (fma.f64 -11/15120 (pow.f64 x 6) (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 (*.f64 (*.f64 -11/15120 (pow.f64 x 6)) 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 (fma.f64 -11/15120 (pow.f64 x 6) (*.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 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 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egg-rr> (2) ((x pow.f64 (fma.f64 -11/15120 (pow.f64 x 6) (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 pow.f64 (pow.f64 (fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 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 -11/15120 (pow.f64 x 6) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 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 -11/15120 (pow.f64 x 6) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 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 -11/15120 (pow.f64 x 6) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 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 -11/15120 (pow.f64 x 6) (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 log.f64 (+.f64 1 (expm1.f64 (fma.f64 -11/15120 (pow.f64 x 6) (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 log.f64 (*.f64 (exp.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6) (*.f64 -143/604800 (pow.f64 x 8)))) (exp.f64 (*.f64 -11/15120 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6) (*.f64 -143/604800 (pow.f64 x 8))))) (exp.f64 (*.f64 -11/15120 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 -11/15120 (pow.f64 x 6))) (+.f64 1 (expm1.f64 (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 cbrt.f64 (pow.f64 (fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 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 -11/15120 (pow.f64 x 6) (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 log1p.f64 (expm1.f64 (fma.f64 -11/15120 (pow.f64 x 6) (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 exp.f64 (log.f64 (fma.f64 -11/15120 (pow.f64 x 6) (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 exp.f64 (*.f64 (log.f64 (fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6) (*.f64 -143/604800 (pow.f64 x 8))))) 1))))))

simplify204.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
692×distribute-rgt-out_binary64
525×associate-+l+_binary64
520×distribute-lft-out_binary64
453×associate-+r+_binary64
413×unswap-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029483
175483
2162483
3437483
42073483
54623483
65006483
75513483
86579483
97575483
Stop Event
1×node limit
Counts
111 → 95
Calls
Call 1
Inputs
(*.f64 -23/360 (pow.f64 x 2))
(*.f64 -23/360 (pow.f64 x 2))
(*.f64 -23/360 (pow.f64 x 2))
(*.f64 -23/360 (pow.f64 x 2))
(*.f64 -23/360 (pow.f64 x 2))
(*.f64 -23/360 (pow.f64 x 2))
(*.f64 -23/360 (pow.f64 x 2))
(*.f64 -23/360 (pow.f64 x 2))
(*.f64 -23/360 (pow.f64 x 2))
(*.f64 -23/360 (pow.f64 x 2))
(*.f64 -23/360 (pow.f64 x 2))
(*.f64 -23/360 (pow.f64 x 2))
(*.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))))
(*.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 -143/604800 (pow.f64 x 8))
(+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -143/604800 (pow.f64 x 8)))
(+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (+.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 -11/15120 (pow.f64 x 6)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (*.f64 -23/360 (pow.f64 x 4)))))
(*.f64 -143/604800 (pow.f64 x 8))
(+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -143/604800 (pow.f64 x 8)))
(+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (+.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 -11/15120 (pow.f64 x 6)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (*.f64 -23/360 (pow.f64 x 4)))))
Outputs
(*.f64 -23/360 (pow.f64 x 2))
(*.f64 -23/360 (*.f64 x x))
(*.f64 -23/360 (pow.f64 x 2))
(*.f64 -23/360 (*.f64 x x))
(*.f64 -23/360 (pow.f64 x 2))
(*.f64 -23/360 (*.f64 x x))
(*.f64 -23/360 (pow.f64 x 2))
(*.f64 -23/360 (*.f64 x x))
(*.f64 -23/360 (pow.f64 x 2))
(*.f64 -23/360 (*.f64 x x))
(*.f64 -23/360 (pow.f64 x 2))
(*.f64 -23/360 (*.f64 x x))
(*.f64 -23/360 (pow.f64 x 2))
(*.f64 -23/360 (*.f64 x x))
(*.f64 -23/360 (pow.f64 x 2))
(*.f64 -23/360 (*.f64 x x))
(*.f64 -23/360 (pow.f64 x 2))
(*.f64 -23/360 (*.f64 x x))
(*.f64 -23/360 (pow.f64 x 2))
(*.f64 -23/360 (*.f64 x x))
(*.f64 -23/360 (pow.f64 x 2))
(*.f64 -23/360 (*.f64 x x))
(*.f64 -23/360 (pow.f64 x 2))
(*.f64 -23/360 (*.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 (*.f64 x x) 1/6)
(*.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 -23/360 (pow.f64 x 4) (*.f64 x (*.f64 x 1/6)))
(*.f64 (*.f64 x x) (fma.f64 -23/360 (*.f64 x x) 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 (*.f64 x x) 1/6 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -143/604800 (pow.f64 x 8))))
(fma.f64 -23/360 (pow.f64 x 4) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 x (*.f64 x 1/6))))
(fma.f64 (*.f64 x x) (fma.f64 -23/360 (*.f64 x x) 1/6) (*.f64 -143/604800 (pow.f64 x 8)))
(fma.f64 -23/360 (pow.f64 x 4) (fma.f64 x (*.f64 x 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 -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 (*.f64 x x) 1/6 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -143/604800 (pow.f64 x 8))))
(fma.f64 -23/360 (pow.f64 x 4) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 x (*.f64 x 1/6))))
(fma.f64 (*.f64 x x) (fma.f64 -23/360 (*.f64 x x) 1/6) (*.f64 -143/604800 (pow.f64 x 8)))
(fma.f64 -23/360 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/6) (*.f64 -143/604800 (pow.f64 x 8))))
(*.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 (*.f64 x x) 1/6 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -143/604800 (pow.f64 x 8))))
(fma.f64 -23/360 (pow.f64 x 4) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 x (*.f64 x 1/6))))
(fma.f64 (*.f64 x x) (fma.f64 -23/360 (*.f64 x x) 1/6) (*.f64 -143/604800 (pow.f64 x 8)))
(fma.f64 -23/360 (pow.f64 x 4) (fma.f64 x (*.f64 x 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 -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 (*.f64 x x) 1/6 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -143/604800 (pow.f64 x 8))))
(fma.f64 -23/360 (pow.f64 x 4) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 x (*.f64 x 1/6))))
(fma.f64 (*.f64 x x) (fma.f64 -23/360 (*.f64 x x) 1/6) (*.f64 -143/604800 (pow.f64 x 8)))
(fma.f64 -23/360 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/6) (*.f64 -143/604800 (pow.f64 x 8))))
(*.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 (*.f64 x x) 1/6 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -143/604800 (pow.f64 x 8))))
(fma.f64 -23/360 (pow.f64 x 4) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 x (*.f64 x 1/6))))
(fma.f64 (*.f64 x x) (fma.f64 -23/360 (*.f64 x x) 1/6) (*.f64 -143/604800 (pow.f64 x 8)))
(fma.f64 -23/360 (pow.f64 x 4) (fma.f64 x (*.f64 x 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 -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 (*.f64 x x) 1/6 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -143/604800 (pow.f64 x 8))))
(fma.f64 -23/360 (pow.f64 x 4) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 x (*.f64 x 1/6))))
(fma.f64 (*.f64 x x) (fma.f64 -23/360 (*.f64 x x) 1/6) (*.f64 -143/604800 (pow.f64 x 8)))
(fma.f64 -23/360 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/6) (*.f64 -143/604800 (pow.f64 x 8))))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 (*.f64 x x) 1/6)
(*.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 -23/360 (pow.f64 x 4) (*.f64 x (*.f64 x 1/6)))
(*.f64 (*.f64 x x) (fma.f64 -23/360 (*.f64 x x) 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 (*.f64 x x) 1/6 (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))))
(fma.f64 -23/360 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/6) (*.f64 -11/15120 (pow.f64 x 6))))
(fma.f64 (*.f64 x x) (fma.f64 -23/360 (*.f64 x x) 1/6) (*.f64 -11/15120 (pow.f64 x 6)))
(fma.f64 x (*.f64 x 1/6) (fma.f64 -23/360 (pow.f64 x 4) (*.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 (*.f64 x x) 1/6 (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 -11/15120 (pow.f64 x 6) (fma.f64 -23/360 (pow.f64 x 4) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 x (*.f64 x 1/6)))))
(fma.f64 (*.f64 x x) (fma.f64 -23/360 (*.f64 x x) 1/6) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -11/15120 (pow.f64 x 6))))
(fma.f64 -23/360 (pow.f64 x 4) (fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 x (*.f64 x 1/6) (*.f64 -143/604800 (pow.f64 x 8)))))
(*.f64 -143/604800 (pow.f64 x 8))
(+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -143/604800 (pow.f64 x 8)))
(fma.f64 -11/15120 (pow.f64 x 6) (*.f64 -143/604800 (pow.f64 x 8)))
(fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -11/15120 (pow.f64 x 6)))
(+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (*.f64 -23/360 (pow.f64 x 4))))
(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 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))))
(fma.f64 -23/360 (pow.f64 x 4) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -11/15120 (pow.f64 x 6))))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (+.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) (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 (*.f64 x x) 1/6 (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 -11/15120 (pow.f64 x 6) (fma.f64 -23/360 (pow.f64 x 4) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 x (*.f64 x 1/6)))))
(fma.f64 (*.f64 x x) (fma.f64 -23/360 (*.f64 x x) 1/6) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -11/15120 (pow.f64 x 6))))
(fma.f64 -23/360 (pow.f64 x 4) (fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 x (*.f64 x 1/6) (*.f64 -143/604800 (pow.f64 x 8)))))
(*.f64 -143/604800 (pow.f64 x 8))
(+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -143/604800 (pow.f64 x 8)))
(fma.f64 -11/15120 (pow.f64 x 6) (*.f64 -143/604800 (pow.f64 x 8)))
(fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -11/15120 (pow.f64 x 6)))
(+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (*.f64 -23/360 (pow.f64 x 4))))
(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 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))))
(fma.f64 -23/360 (pow.f64 x 4) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -11/15120 (pow.f64 x 6))))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (+.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) (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 (*.f64 x x) 1/6 (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 -11/15120 (pow.f64 x 6) (fma.f64 -23/360 (pow.f64 x 4) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 x (*.f64 x 1/6)))))
(fma.f64 (*.f64 x x) (fma.f64 -23/360 (*.f64 x x) 1/6) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -11/15120 (pow.f64 x 6))))
(fma.f64 -23/360 (pow.f64 x 4) (fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 x (*.f64 x 1/6) (*.f64 -143/604800 (pow.f64 x 8)))))

localize37.0ms (0.2%)

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)

series3.0ms (0%)

Counts
2 → 12
Calls

6 calls:

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

rewrite69.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0511
110111
2113311
Stop Event
1×node limit
Counts
2 → 28
Calls
Call 1
Inputs
(*.f64 1/6 x)
(*.f64 x (*.f64 1/6 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/6 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 1/6))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/6)) (cbrt.f64 (pow.f64 (exp.f64 x) 1/6)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/6 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/6 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/6 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/6 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/6 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/6 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 1/6 x))) (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 1/6 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 1/6 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 1/6 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 1/6 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/6 (*.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 1/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))))))

simplify266.0ms (1.1%)

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))

localize12.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiled 23 to 11 computations (52.2% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite51.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
635×pow1_binary64
594×add-log-exp_binary64
594×log1p-expm1-u_binary64
594×expm1-log1p-u_binary64
582×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0714
114414
2162714
Stop Event
1×node limit
Counts
1 → 13
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x -23/360)) (*.f64 x x)) (*.f64 1/6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x -23/360))) (*.f64 (*.f64 x x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (fma.f64 (*.f64 x x) -23/360 1/6))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 (*.f64 x x) -23/360 1/6)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6))))))))

simplify195.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1057×sqr-pow_binary64
538×fma-def_binary64
506×pow-sqr_binary64
443×cube-prod_binary64
425×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011147
122147
245147
3114147
4355147
51427147
62658147
73120147
83289147
93488147
103761147
114118147
124568147
135099147
145729147
156484147
166794147
177018147
187216147
197270147
207292147
Stop Event
1×node limit
Counts
25 → 18
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)))
Outputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6)))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6))
(*.f64 x (fma.f64 1/6 x (*.f64 -23/360 (pow.f64 x 3))))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6)))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6))
(*.f64 x (fma.f64 1/6 x (*.f64 -23/360 (pow.f64 x 3))))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6)))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6))
(*.f64 x (fma.f64 1/6 x (*.f64 -23/360 (pow.f64 x 3))))
(*.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 x (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6)))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6))
(*.f64 x (fma.f64 1/6 x (*.f64 -23/360 (pow.f64 x 3))))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6)))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6))
(*.f64 x (fma.f64 1/6 x (*.f64 -23/360 (pow.f64 x 3))))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6)))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6))
(*.f64 x (fma.f64 1/6 x (*.f64 -23/360 (pow.f64 x 3))))
(*.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 x (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6)))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6))
(*.f64 x (fma.f64 1/6 x (*.f64 -23/360 (pow.f64 x 3))))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6)))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6))
(*.f64 x (fma.f64 1/6 x (*.f64 -23/360 (pow.f64 x 3))))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6)))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6))
(*.f64 x (fma.f64 1/6 x (*.f64 -23/360 (pow.f64 x 3))))

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(*.f64 1/6 (pow.f64 x 3))
✓9.9b
(/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))
Compiler

Compiled 22 to 15 computations (31.8% saved)

series3.0ms (0%)

Counts
1 → 12
Calls

3 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))

rewrite70.0ms (0.3%)

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
0812
117912
2220012
Stop Event
1×node limit
Counts
1 → 42
Calls
Call 1
Inputs
(/.f64 (*.f64 1/6 (pow.f64 x 3)) (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 (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)))))))))

simplify44.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
031206
175206
2193206
3669206
43687206
Stop Event
1×node limit
Counts
54 → 52
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)))

localize11.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
✓0.1b
(cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))
✓0.1b
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 3)
4.9b
(-.f64 x (sin.f64 x))
Compiler

Compiled 36 to 9 computations (75% saved)

series10.0ms (0%)

Counts
2 → 0
Calls

6 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 3)
2.0ms
x
@inf
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 3)
1.0ms
x
@0
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 3)
1.0ms
x
@-inf
(cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))
0.0ms
x
@inf
(cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))

rewrite119.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0924
120824
2269024
Stop Event
1×node limit
Counts
2 → 254
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 3)
(cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (tan.f64 x)))) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (tan.f64 x))) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (/.f64 1 (tan.f64 x)) (neg.f64 (*.f64 (/.f64 1 (tan.f64 x)) (sin.f64 x)))) (fma.f64 (neg.f64 (/.f64 1 (tan.f64 x))) (sin.f64 x) (*.f64 (/.f64 1 (tan.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 x (tan.f64 x)) (neg.f64 (*.f64 (/.f64 1 (tan.f64 x)) (sin.f64 x)))) (fma.f64 (neg.f64 (/.f64 1 (tan.f64 x))) 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(/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (tan.f64 x)) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) -2) (/.f64 x (cbrt.f64 (tan.f64 x))) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (tan.f64 x))) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (tan.f64 x))) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (tan.f64 x) -1/2) (/.f64 x (sqrt.f64 (tan.f64 x))) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (tan.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (tan.f64 x))) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (tan.f64 x))) (/.f64 (sqrt.f64 x) (sqrt.f64 (tan.f64 x))) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (sin.f64 x)) (cos.f64 x) (neg.f64 (cos.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) (/.f64 1 (cbrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)) 1/6) (pow.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 (tan.f64 x)) (cbrt.f64 (-.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) (cbrt.f64 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (neg.f64 (-.f64 x (sin.f64 x)))) (cbrt.f64 (neg.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 (-.f64 x (sin.f64 x)))) (neg.f64 (cbrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.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)) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)) 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))) 2)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 (tan.f64 x)) (cbrt.f64 (-.f64 x (sin.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)))))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/6 (log.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)))) 1) 1))))))

simplify13.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

eval240.0ms (1%)

Compiler

Compiled 14674 to 6586 computations (55.1% saved)

prune107.0ms (0.5%)

Pruning

32 alts after pruning (23 fresh and 9 done)

PrunedKeptTotal
New59715612
Fresh6814
Picked011
Done189
Total60432636
Error
0.0b
Counts
636 → 32
Alt Table
Click to see full alt table
StatusErrorProgram
62.3b
(fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (tan.f64 x)) (neg.f64 (cos.f64 x)))
1.6b
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
1.6b
(*.f64 (*.f64 x x) (log.f64 (exp.f64 (fma.f64 x (*.f64 x -23/360) 1/6))))
0.8b
(+.f64 (*.f64 (*.f64 x (*.f64 x -23/360)) (*.f64 x x)) (*.f64 1/6 (*.f64 x x)))
29.8b
(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))
✓29.8b
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))
59.8b
(fma.f64 x (/.f64 1 (tan.f64 x)) (neg.f64 (cos.f64 x)))
1.9b
(*.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))))
9.9b
(/.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))
✓10.1b
(/.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))
0.8b
(*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) -23/360) 1/6))
▶11.4b
(*.f64 x (cbrt.f64 (pow.f64 (*.f64 1/6 x) 3)))
✓29.7b
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
11.0b
(*.f64 1/6 (*.f64 (pow.f64 x 3) (/.f64 1 (tan.f64 x))))
✓10.4b
(/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.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) (+.f64 (*.f64 (*.f64 x x) -23/360) 1/6) (*.f64 -143/604800 (pow.f64 x 8))))
16.6b
(*.f64 x (sqrt.f64 (*.f64 (*.f64 x x) 1/36)))
✓29.7b
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 3)
✓11.1b
(/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))
59.8b
(*.f64 (cos.f64 x) (fma.f64 (/.f64 1 (sin.f64 x)) x -1))
▶0.5b
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -11/15120 (pow.f64 x 6)))
▶1.0b
(*.f64 (*.f64 x x) (exp.f64 (log.f64 (fma.f64 x (*.f64 x -23/360) 1/6))))
29.8b
(pow.f64 (pow.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)) 1/3) 3)
29.8b
(-.f64 (+.f64 1 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 1)
14.1b
(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
✓1.5b
(*.f64 1/6 (*.f64 x x))
30.1b
(-.f64 (+.f64 1 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6))) 1)
▶29.0b
(*.f64 x (-.f64 (+.f64 1 (*.f64 1/6 x)) 1))
0.5b
(fma.f64 -11/15120 (pow.f64 x 6) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4))))
✓1.5b
(*.f64 x (*.f64 1/6 x))
30.5b
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)
▶0.8b
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6)))
Compiler

Compiled 692 to 499 computations (27.9% saved)

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiled 38 to 23 computations (39.5% saved)

series3.0ms (0%)

Counts
2 → 12
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 -11/15120 (pow.f64 x 6))
0.0ms
x
@inf
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -11/15120 (pow.f64 x 6)))
0.0ms
x
@0
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -11/15120 (pow.f64 x 6)))
0.0ms
x
@inf
(*.f64 -11/15120 (pow.f64 x 6))
0.0ms
x
@-inf
(*.f64 -11/15120 (pow.f64 x 6))

rewrite80.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
940×pow1_binary64
885×add-log-exp_binary64
885×log1p-expm1-u_binary64
885×expm1-log1p-u_binary64
110×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01128
123028
2250728
Stop Event
1×node limit
Counts
2 → 34
Calls
Call 1
Inputs
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -11/15120 (pow.f64 x 6)))
(*.f64 -11/15120 (pow.f64 x 6))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.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 -11/15120 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6)) 1) (*.f64 -11/15120 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -11/15120 (pow.f64 x 6))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -11/15120 (pow.f64 x 6))) 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 -11/15120 (pow.f64 x 6))))))) (#(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 -11/15120 (pow.f64 x 6)))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -11/15120 (pow.f64 x 6)))) 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 -11/15120 (pow.f64 x 6)))) 2) (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -11/15120 (pow.f64 x 6)))))))) (#(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 -11/15120 (pow.f64 x 6)))) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -11/15120 (pow.f64 x 6)))))))) (#(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 -11/15120 (pow.f64 x 6)) 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 12) 121/228614400) (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6)) (*.f64 -11/15120 (pow.f64 x 6))))))))) (#(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 12) 121/228614400)) (-.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6)) (*.f64 -11/15120 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -11/15120 (pow.f64 x 6))) 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 -11/15120 (pow.f64 x 6))) 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 -11/15120 (pow.f64 x 6)))) 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 -11/15120 (pow.f64 x 6)))) 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 -11/15120 (pow.f64 x 6))) 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 -11/15120 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -11/15120 (pow.f64 x 6))))))))) (#(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 -11/15120 (pow.f64 x 6))) 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 -11/15120 (pow.f64 x 6)))))))) (#(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 -11/15120 (pow.f64 x 6)))))))) (#(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 -11/15120 (pow.f64 x 6)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -11/15120 (pow.f64 x 6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -11/15120 (pow.f64 x 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -11/15120 (pow.f64 x 6)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) (cbrt.f64 -11/15120)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 -11/15120)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 12) 121/228614400))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -11/15120) (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -11/15120 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -11/15120 (pow.f64 x 6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -11/15120 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -11/15120 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -11/15120 (pow.f64 x 6))))))))

simplify246.0ms (1%)

Algorithm
1×egg-herbie
Rules
1126×fma-def_binary64
726×sqr-pow_binary64
538×cube-prod_binary64
382×unpow3_binary64
381×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017189
139189
282189
3225189
4922189
52411189
63441189
73671189
83866189
94117189
104432189
114849189
125582189
136074189
146677189
156929189
167179189
177445189
187715189
197979189
Stop Event
1×node limit
Counts
46 → 43
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 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(*.f64 -11/15120 (pow.f64 x 6))
(+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))
(+.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 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(*.f64 -11/15120 (pow.f64 x 6))
(+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))
(+.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 -11/15120 (pow.f64 x 6)) (*.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)))
(*.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 -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))))
(*.f64 (*.f64 x x) (fma.f64 (pow.f64 x 4) -11/15120 (fma.f64 x (*.f64 x -23/360) 1/6)))
(fma.f64 (pow.f64 x 4) (fma.f64 (*.f64 x x) -11/15120 -23/360) (*.f64 1/6 (*.f64 x x)))
(*.f64 x (fma.f64 1/6 x (fma.f64 -23/360 (pow.f64 x 3) (*.f64 -11/15120 (pow.f64 x 5)))))
(+.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))))
(*.f64 (*.f64 x x) (fma.f64 (pow.f64 x 4) -11/15120 (fma.f64 x (*.f64 x -23/360) 1/6)))
(fma.f64 (pow.f64 x 4) (fma.f64 (*.f64 x x) -11/15120 -23/360) (*.f64 1/6 (*.f64 x x)))
(*.f64 x (fma.f64 1/6 x (fma.f64 -23/360 (pow.f64 x 3) (*.f64 -11/15120 (pow.f64 x 5)))))
(*.f64 -11/15120 (pow.f64 x 6))
(+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -11/15120 (pow.f64 x 6) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))
(*.f64 (pow.f64 x 4) (fma.f64 (*.f64 x x) -11/15120 -23/360))
(+.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))))
(*.f64 (*.f64 x x) (fma.f64 (pow.f64 x 4) -11/15120 (fma.f64 x (*.f64 x -23/360) 1/6)))
(fma.f64 (pow.f64 x 4) (fma.f64 (*.f64 x x) -11/15120 -23/360) (*.f64 1/6 (*.f64 x x)))
(*.f64 x (fma.f64 1/6 x (fma.f64 -23/360 (pow.f64 x 3) (*.f64 -11/15120 (pow.f64 x 5)))))
(+.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))))
(*.f64 (*.f64 x x) (fma.f64 (pow.f64 x 4) -11/15120 (fma.f64 x (*.f64 x -23/360) 1/6)))
(fma.f64 (pow.f64 x 4) (fma.f64 (*.f64 x x) -11/15120 -23/360) (*.f64 1/6 (*.f64 x x)))
(*.f64 x (fma.f64 1/6 x (fma.f64 -23/360 (pow.f64 x 3) (*.f64 -11/15120 (pow.f64 x 5)))))
(*.f64 -11/15120 (pow.f64 x 6))
(+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -11/15120 (pow.f64 x 6) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))
(*.f64 (pow.f64 x 4) (fma.f64 (*.f64 x x) -11/15120 -23/360))
(+.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))))
(*.f64 (*.f64 x x) (fma.f64 (pow.f64 x 4) -11/15120 (fma.f64 x (*.f64 x -23/360) 1/6)))
(fma.f64 (pow.f64 x 4) (fma.f64 (*.f64 x x) -11/15120 -23/360) (*.f64 1/6 (*.f64 x x)))
(*.f64 x (fma.f64 1/6 x (fma.f64 -23/360 (pow.f64 x 3) (*.f64 -11/15120 (pow.f64 x 5)))))
(+.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))))
(*.f64 (*.f64 x x) (fma.f64 (pow.f64 x 4) -11/15120 (fma.f64 x (*.f64 x -23/360) 1/6)))
(fma.f64 (pow.f64 x 4) (fma.f64 (*.f64 x x) -11/15120 -23/360) (*.f64 1/6 (*.f64 x x)))
(*.f64 x (fma.f64 1/6 x (fma.f64 -23/360 (pow.f64 x 3) (*.f64 -11/15120 (pow.f64 x 5)))))

localize11.0ms (0%)

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)
✓7.8b
(-.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
0.0ms
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))

rewrite62.0ms (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))))))))

simplify203.0ms (0.8%)

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))

localize55.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiled 31 to 16 computations (48.4% saved)

series4.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite162.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0825
116325
2185625
Stop Event
1×node limit
Counts
2 → 31
Calls
Call 1
Inputs
(*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x -23/360)) x) (*.f64 1/6 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x (*.f64 x -23/360))) (*.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 x x) -23/360 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (*.f64 x x) -23/360 1/6) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) -23/360 1/6) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x -23/360)) (*.f64 x x)) (*.f64 1/6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x -23/360))) (*.f64 (*.f64 x x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (fma.f64 (*.f64 x x) -23/360 1/6))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (fma.f64 (*.f64 x x) -23/360 1/6) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 (*.f64 x x) -23/360 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (fma.f64 (*.f64 x x) -23/360 1/6) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6)))))))))

simplify223.0ms (0.9%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
016264
138264
276264
3181264
4601264
51169264
62602264
72721264
82895264
93110264
103395264
113769264
124217264
134769264
145459264
155920264
166227264
176495264
186703264
196889264
207672264
Stop Event
1×node limit
Counts
55 → 40
Calls
Call 1
Inputs
(*.f64 1/6 x)
(+.f64 (*.f64 1/6 x) (*.f64 -23/360 (pow.f64 x 3)))
(+.f64 (*.f64 1/6 x) (*.f64 -23/360 (pow.f64 x 3)))
(+.f64 (*.f64 1/6 x) (*.f64 -23/360 (pow.f64 x 3)))
(*.f64 -23/360 (pow.f64 x 3))
(+.f64 (*.f64 1/6 x) (*.f64 -23/360 (pow.f64 x 3)))
(+.f64 (*.f64 1/6 x) (*.f64 -23/360 (pow.f64 x 3)))
(+.f64 (*.f64 1/6 x) (*.f64 -23/360 (pow.f64 x 3)))
(*.f64 -23/360 (pow.f64 x 3))
(+.f64 (*.f64 1/6 x) (*.f64 -23/360 (pow.f64 x 3)))
(+.f64 (*.f64 1/6 x) (*.f64 -23/360 (pow.f64 x 3)))
(+.f64 (*.f64 1/6 x) (*.f64 -23/360 (pow.f64 x 3)))
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(*.f64 -23/360 (pow.f64 x 4))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(*.f64 -23/360 (pow.f64 x 4))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
Outputs
(*.f64 1/6 x)
(+.f64 (*.f64 1/6 x) (*.f64 -23/360 (pow.f64 x 3)))
(fma.f64 1/6 x (*.f64 -23/360 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6))
(+.f64 (*.f64 1/6 x) (*.f64 -23/360 (pow.f64 x 3)))
(fma.f64 1/6 x (*.f64 -23/360 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6))
(+.f64 (*.f64 1/6 x) (*.f64 -23/360 (pow.f64 x 3)))
(fma.f64 1/6 x (*.f64 -23/360 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6))
(*.f64 -23/360 (pow.f64 x 3))
(+.f64 (*.f64 1/6 x) (*.f64 -23/360 (pow.f64 x 3)))
(fma.f64 1/6 x (*.f64 -23/360 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6))
(+.f64 (*.f64 1/6 x) (*.f64 -23/360 (pow.f64 x 3)))
(fma.f64 1/6 x (*.f64 -23/360 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6))
(+.f64 (*.f64 1/6 x) (*.f64 -23/360 (pow.f64 x 3)))
(fma.f64 1/6 x (*.f64 -23/360 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6))
(*.f64 -23/360 (pow.f64 x 3))
(+.f64 (*.f64 1/6 x) (*.f64 -23/360 (pow.f64 x 3)))
(fma.f64 1/6 x (*.f64 -23/360 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6))
(+.f64 (*.f64 1/6 x) (*.f64 -23/360 (pow.f64 x 3)))
(fma.f64 1/6 x (*.f64 -23/360 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6))
(+.f64 (*.f64 1/6 x) (*.f64 -23/360 (pow.f64 x 3)))
(fma.f64 1/6 x (*.f64 -23/360 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6))
(*.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 x (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6)))
(*.f64 -23/360 (pow.f64 x 4))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6)))
(*.f64 -23/360 (pow.f64 x 4))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6)))

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 x (cbrt.f64 (pow.f64 (*.f64 1/6 x) 3)))
✓0.2b
(pow.f64 (*.f64 1/6 x) 3)
0.3b
(*.f64 1/6 x)
✓38.9b
(cbrt.f64 (pow.f64 (*.f64 1/6 x) 3))
Compiler

Compiled 26 to 20 computations (23.1% saved)

series8.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite88.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
627×pow1_binary64
591×add-log-exp_binary64
591×log1p-expm1-u_binary64
591×expm1-log1p-u_binary64
577×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0818
117218
2169218
Stop Event
1×node limit
Counts
3 → 62
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (*.f64 1/6 x) 3))
(pow.f64 (*.f64 1/6 x) 3)
(*.f64 x (cbrt.f64 (pow.f64 (*.f64 1/6 x) 3)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/6 x)) 1)))) (#(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 1 (*.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 (cbrt.f64 (*.f64 1/6 x)) (pow.f64 (cbrt.f64 (*.f64 1/6 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/6 x)) (pow.f64 (*.f64 1/36 (*.f64 x x)) 1/3))))) (#(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 (sqrt.f64 x) (*.f64 (sqrt.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 (pow.f64 (*.f64 1/36 (*.f64 x x)) 1/3) (cbrt.f64 (*.f64 1/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 1/6 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/216 1/3) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 1/6 x) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 1/6 x) 3/2) 1/3))))) (#(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 pow.f64 (*.f64 1/6 x) 1)))) (#(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 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 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 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 (+.f64 1 (*.f64 1/216 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (*.f64 x (*.f64 1/36 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 1/6 (*.f64 1/36 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/6 x) (*.f64 1/36 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/216 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/216 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/216 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/36 (*.f64 x x)) (*.f64 1/6 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/6 x)) 2) (*.f64 (cbrt.f64 (*.f64 1/6 x)) (*.f64 1/36 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/6 x)) (*.f64 (sqrt.f64 (*.f64 1/6 x)) (*.f64 1/36 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) 1/216)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 1/6 x) 3/2) (pow.f64 (*.f64 1/6 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 1/6 x)) 2) 3) (*.f64 1/6 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 1/6 x)) 3) (pow.f64 (sqrt.f64 (*.f64 1/6 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 1/36 (*.f64 x x)) 1/6) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 1/36 (*.f64 x x)) x) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 1/36 (*.f64 x x)) 1) (*.f64 1/6 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 1/36 (*.f64 x x)) (pow.f64 (cbrt.f64 (*.f64 1/6 x)) 2)) (cbrt.f64 (*.f64 1/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 1/36 (*.f64 x x)) (sqrt.f64 (*.f64 1/6 x))) (sqrt.f64 (*.f64 1/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/6 x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/216) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/216 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/216 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/216 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (*.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))))))))

simplify109.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
1032×fma-def_binary64
552×fma-neg_binary64
372×distribute-rgt-neg-in_binary64
362×distribute-lft-neg-in_binary64
329×sqr-pow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018280
142280
294280
3192280
4578280
5932280
61657280
72178280
82882280
94330280
105015280
115873280
127203280
Stop Event
1×node limit
Counts
98 → 69
Calls
Call 1
Inputs
(*.f64 (cbrt.f64 1/216) x)
(*.f64 (cbrt.f64 1/216) x)
(*.f64 (cbrt.f64 1/216) x)
(*.f64 (cbrt.f64 1/216) x)
(*.f64 (cbrt.f64 1/216) x)
(*.f64 (cbrt.f64 1/216) x)
(*.f64 (cbrt.f64 1/216) x)
(*.f64 (cbrt.f64 1/216) x)
(*.f64 -1 (*.f64 (cbrt.f64 -1/216) x))
(*.f64 -1 (*.f64 (cbrt.f64 -1/216) x))
(*.f64 -1 (*.f64 (cbrt.f64 -1/216) x))
(*.f64 -1 (*.f64 (cbrt.f64 -1/216) x))
(*.f64 1/216 (pow.f64 x 3))
(*.f64 1/216 (pow.f64 x 3))
(*.f64 1/216 (pow.f64 x 3))
(*.f64 1/216 (pow.f64 x 3))
(*.f64 1/216 (pow.f64 x 3))
(*.f64 1/216 (pow.f64 x 3))
(*.f64 1/216 (pow.f64 x 3))
(*.f64 1/216 (pow.f64 x 3))
(*.f64 1/216 (pow.f64 x 3))
(*.f64 1/216 (pow.f64 x 3))
(*.f64 1/216 (pow.f64 x 3))
(*.f64 1/216 (pow.f64 x 3))
(*.f64 (cbrt.f64 1/216) (pow.f64 x 2))
(*.f64 (cbrt.f64 1/216) (pow.f64 x 2))
(*.f64 (cbrt.f64 1/216) (pow.f64 x 2))
(*.f64 (cbrt.f64 1/216) (pow.f64 x 2))
(*.f64 (cbrt.f64 1/216) (pow.f64 x 2))
(*.f64 (cbrt.f64 1/216) (pow.f64 x 2))
(*.f64 (cbrt.f64 1/216) (pow.f64 x 2))
(*.f64 (cbrt.f64 1/216) (pow.f64 x 2))
(*.f64 -1 (*.f64 (cbrt.f64 -1/216) (pow.f64 x 2)))
(*.f64 -1 (*.f64 (cbrt.f64 -1/216) (pow.f64 x 2)))
(*.f64 -1 (*.f64 (cbrt.f64 -1/216) (pow.f64 x 2)))
(*.f64 -1 (*.f64 (cbrt.f64 -1/216) (pow.f64 x 2)))
Outputs
(*.f64 (cbrt.f64 1/216) x)
(*.f64 (cbrt.f64 1/216) x)
(*.f64 (cbrt.f64 1/216) x)
(*.f64 (cbrt.f64 1/216) x)
(*.f64 (cbrt.f64 1/216) x)
(*.f64 (cbrt.f64 1/216) x)
(*.f64 (cbrt.f64 1/216) x)
(*.f64 (cbrt.f64 1/216) x)
(*.f64 -1 (*.f64 (cbrt.f64 -1/216) x))
(neg.f64 (*.f64 x (cbrt.f64 -1/216)))
(*.f64 (cbrt.f64 -1/216) (neg.f64 x))
(*.f64 -1 (*.f64 (cbrt.f64 -1/216) x))
(neg.f64 (*.f64 x (cbrt.f64 -1/216)))
(*.f64 (cbrt.f64 -1/216) (neg.f64 x))
(*.f64 -1 (*.f64 (cbrt.f64 -1/216) x))
(neg.f64 (*.f64 x (cbrt.f64 -1/216)))
(*.f64 (cbrt.f64 -1/216) (neg.f64 x))
(*.f64 -1 (*.f64 (cbrt.f64 -1/216) x))
(neg.f64 (*.f64 x (cbrt.f64 -1/216)))
(*.f64 (cbrt.f64 -1/216) (neg.f64 x))
(*.f64 1/216 (pow.f64 x 3))
(*.f64 1/216 (pow.f64 x 3))
(*.f64 1/216 (pow.f64 x 3))
(*.f64 1/216 (pow.f64 x 3))
(*.f64 1/216 (pow.f64 x 3))
(*.f64 1/216 (pow.f64 x 3))
(*.f64 1/216 (pow.f64 x 3))
(*.f64 1/216 (pow.f64 x 3))
(*.f64 1/216 (pow.f64 x 3))
(*.f64 1/216 (pow.f64 x 3))
(*.f64 1/216 (pow.f64 x 3))
(*.f64 1/216 (pow.f64 x 3))
(*.f64 (cbrt.f64 1/216) (pow.f64 x 2))
(*.f64 (cbrt.f64 1/216) (*.f64 x x))
(*.f64 x (*.f64 (cbrt.f64 1/216) x))
(*.f64 (cbrt.f64 1/216) (pow.f64 x 2))
(*.f64 (cbrt.f64 1/216) (*.f64 x x))
(*.f64 x (*.f64 (cbrt.f64 1/216) x))
(*.f64 (cbrt.f64 1/216) (pow.f64 x 2))
(*.f64 (cbrt.f64 1/216) (*.f64 x x))
(*.f64 x (*.f64 (cbrt.f64 1/216) x))
(*.f64 (cbrt.f64 1/216) (pow.f64 x 2))
(*.f64 (cbrt.f64 1/216) (*.f64 x x))
(*.f64 x (*.f64 (cbrt.f64 1/216) x))
(*.f64 (cbrt.f64 1/216) (pow.f64 x 2))
(*.f64 (cbrt.f64 1/216) (*.f64 x x))
(*.f64 x (*.f64 (cbrt.f64 1/216) x))
(*.f64 (cbrt.f64 1/216) (pow.f64 x 2))
(*.f64 (cbrt.f64 1/216) (*.f64 x x))
(*.f64 x (*.f64 (cbrt.f64 1/216) x))
(*.f64 (cbrt.f64 1/216) (pow.f64 x 2))
(*.f64 (cbrt.f64 1/216) (*.f64 x x))
(*.f64 x (*.f64 (cbrt.f64 1/216) x))
(*.f64 (cbrt.f64 1/216) (pow.f64 x 2))
(*.f64 (cbrt.f64 1/216) (*.f64 x x))
(*.f64 x (*.f64 (cbrt.f64 1/216) x))
(*.f64 -1 (*.f64 (cbrt.f64 -1/216) (pow.f64 x 2)))
(neg.f64 (*.f64 (cbrt.f64 -1/216) (*.f64 x x)))
(*.f64 (cbrt.f64 -1/216) (neg.f64 (*.f64 x x)))
(*.f64 x (*.f64 (cbrt.f64 -1/216) (neg.f64 x)))
(*.f64 (cbrt.f64 -1/216) (*.f64 x (neg.f64 x)))
(*.f64 -1 (*.f64 (cbrt.f64 -1/216) (pow.f64 x 2)))
(neg.f64 (*.f64 (cbrt.f64 -1/216) (*.f64 x x)))
(*.f64 (cbrt.f64 -1/216) (neg.f64 (*.f64 x x)))
(*.f64 x (*.f64 (cbrt.f64 -1/216) (neg.f64 x)))
(*.f64 (cbrt.f64 -1/216) (*.f64 x (neg.f64 x)))
(*.f64 -1 (*.f64 (cbrt.f64 -1/216) (pow.f64 x 2)))
(neg.f64 (*.f64 (cbrt.f64 -1/216) (*.f64 x x)))
(*.f64 (cbrt.f64 -1/216) (neg.f64 (*.f64 x x)))
(*.f64 x (*.f64 (cbrt.f64 -1/216) (neg.f64 x)))
(*.f64 (cbrt.f64 -1/216) (*.f64 x (neg.f64 x)))
(*.f64 -1 (*.f64 (cbrt.f64 -1/216) (pow.f64 x 2)))
(neg.f64 (*.f64 (cbrt.f64 -1/216) (*.f64 x x)))
(*.f64 (cbrt.f64 -1/216) (neg.f64 (*.f64 x x)))
(*.f64 x (*.f64 (cbrt.f64 -1/216) (neg.f64 x)))
(*.f64 (cbrt.f64 -1/216) (*.f64 x (neg.f64 x)))

localize141.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(log.f64 (fma.f64 x (*.f64 x -23/360) 1/6))
✓0.2b
(*.f64 (*.f64 x x) (exp.f64 (log.f64 (fma.f64 x (*.f64 x -23/360) 1/6))))
✓0.5b
(*.f64 x -23/360)
✓1.0b
(exp.f64 (log.f64 (fma.f64 x (*.f64 x -23/360) 1/6)))
Compiler

Compiled 43 to 28 computations (34.9% saved)

series6.0ms (0%)

Counts
4 → 48
Calls

12 calls:

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

rewrite67.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01036
118836
2206936
Stop Event
1×node limit
Counts
4 → 69
Calls
Call 1
Inputs
(exp.f64 (log.f64 (fma.f64 x (*.f64 x -23/360) 1/6)))
(*.f64 x -23/360)
(*.f64 (*.f64 x x) (exp.f64 (log.f64 (fma.f64 x (*.f64 x -23/360) 1/6))))
(log.f64 (fma.f64 x (*.f64 x -23/360) 1/6))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/6 (*.f64 x (*.f64 x -23/360)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (fma.f64 x (*.f64 x -23/360) 1/6) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x -23/360)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x -23/360)) 1) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x (*.f64 x -23/360) 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (*.f64 x -23/360) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (*.f64 x -23/360) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (*.f64 x -23/360) 1/6)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -23/360) 1/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -23/360) 1/6)) 2) (cbrt.f64 (fma.f64 x (*.f64 x -23/360) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (*.f64 x -23/360) 1/6)) (sqrt.f64 (fma.f64 x (*.f64 x -23/360) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -23/360)) 3) 1/216) (+.f64 (*.f64 (*.f64 x (*.f64 x -23/360)) (*.f64 x (*.f64 x -23/360))) (-.f64 1/36 (*.f64 (*.f64 x (*.f64 x -23/360)) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x -23/360)) (*.f64 x (*.f64 x -23/360))) 1/36) (-.f64 (*.f64 x (*.f64 x -23/360)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (*.f64 x -23/360) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (*.f64 x -23/360) 1/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -23/360) 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x -23/360) 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x (*.f64 x -23/360) 1/6)))) (sqrt.f64 (log.f64 (fma.f64 x (*.f64 x -23/360) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 x (*.f64 x -23/360) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x (*.f64 x -23/360) 1/6))) 2)) (cbrt.f64 (log.f64 (fma.f64 x (*.f64 x -23/360) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x -23/360) 1/6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (*.f64 x -23/360) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -23/360) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x -23/360) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x -23/360) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x -23/360) 1/6)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x -23/360)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x -23/360) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x -23/360) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x -23/360)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x -23/360)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 529/129600))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) -23/360))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x -23/360) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x -23/360)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x -23/360)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x -23/360)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x -23/360)) (*.f64 x x)) (*.f64 1/6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x -23/360))) (*.f64 (*.f64 x x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 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 sqrt.f64 (*.f64 (pow.f64 (fma.f64 x (*.f64 x -23/360) 1/6) 2) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 x (*.f64 x -23/360) 1/6)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (*.f64 x -23/360) 1/6) 3) (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (fma.f64 x (*.f64 x -23/360) 1/6) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (fma.f64 x (*.f64 x -23/360) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -23/360) 1/6)) 2)) (log.f64 (cbrt.f64 (fma.f64 x (*.f64 x -23/360) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (fma.f64 x (*.f64 x -23/360) 1/6))) (log.f64 (sqrt.f64 (fma.f64 x (*.f64 x -23/360) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (fma.f64 x (*.f64 x -23/360) 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (fma.f64 x (*.f64 x -23/360) 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (fma.f64 x (*.f64 x -23/360) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (fma.f64 x (*.f64 x -23/360) 1/6))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x (*.f64 x -23/360) 1/6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x (*.f64 x -23/360) 1/6))) 2) (cbrt.f64 (log.f64 (fma.f64 x (*.f64 x -23/360) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (fma.f64 x (*.f64 x -23/360) 1/6))) (sqrt.f64 (log.f64 (fma.f64 x (*.f64 x -23/360) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (fma.f64 x (*.f64 x -23/360) 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (fma.f64 x (*.f64 x -23/360) 1/6)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (fma.f64 x (*.f64 x -23/360) 1/6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (fma.f64 x (*.f64 x -23/360) 1/6))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (fma.f64 x (*.f64 x -23/360) 1/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (fma.f64 x (*.f64 x -23/360) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (fma.f64 x (*.f64 x -23/360) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (fma.f64 x (*.f64 x -23/360) 1/6) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (fma.f64 x (*.f64 x -23/360) 1/6))))))))

simplify56.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
906×fma-neg_binary64
643×times-frac_binary64
522×fma-def_binary64
517×sub-neg_binary64
285×unswap-sqr_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
057554
1146536
2368536
31122528
44451528
Stop Event
1×node limit
Counts
117 → 103
Calls
Call 1
Inputs
1/6
(+.f64 1/6 (*.f64 -23/360 (pow.f64 x 2)))
(+.f64 1/6 (*.f64 -23/360 (pow.f64 x 2)))
(+.f64 1/6 (*.f64 -23/360 (pow.f64 x 2)))
(*.f64 -23/360 (pow.f64 x 2))
(+.f64 1/6 (*.f64 -23/360 (pow.f64 x 2)))
(+.f64 1/6 (*.f64 -23/360 (pow.f64 x 2)))
(+.f64 1/6 (*.f64 -23/360 (pow.f64 x 2)))
(*.f64 -23/360 (pow.f64 x 2))
(+.f64 1/6 (*.f64 -23/360 (pow.f64 x 2)))
(+.f64 1/6 (*.f64 -23/360 (pow.f64 x 2)))
(+.f64 1/6 (*.f64 -23/360 (pow.f64 x 2)))
(*.f64 -23/360 x)
(*.f64 -23/360 x)
(*.f64 -23/360 x)
(*.f64 -23/360 x)
(*.f64 -23/360 x)
(*.f64 -23/360 x)
(*.f64 -23/360 x)
(*.f64 -23/360 x)
(*.f64 -23/360 x)
(*.f64 -23/360 x)
(*.f64 -23/360 x)
(*.f64 -23/360 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 -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)))
(log.f64 1/6)
(+.f64 (*.f64 -23/60 (pow.f64 x 2)) (log.f64 1/6))
(+.f64 (*.f64 -23/60 (pow.f64 x 2)) (+.f64 (*.f64 -529/7200 (pow.f64 x 4)) (log.f64 1/6)))
(+.f64 (*.f64 -12167/648000 (pow.f64 x 6)) (+.f64 (*.f64 -23/60 (pow.f64 x 2)) (+.f64 (*.f64 -529/7200 (pow.f64 x 4)) (log.f64 1/6))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (log.f64 -23/360))
(-.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (log.f64 -23/360)) (*.f64 60/23 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (log.f64 -23/360)) (+.f64 (*.f64 60/23 (/.f64 1 (pow.f64 x 2))) (*.f64 1800/529 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (log.f64 -23/360)) (+.f64 (*.f64 60/23 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1800/529 (/.f64 1 (pow.f64 x 4))) (*.f64 72000/12167 (/.f64 1 (pow.f64 x 6))))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -23/360))
(-.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -23/360)) (*.f64 60/23 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -23/360)) (+.f64 (*.f64 60/23 (/.f64 1 (pow.f64 x 2))) (*.f64 1800/529 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -23/360)) (+.f64 (*.f64 60/23 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1800/529 (/.f64 1 (pow.f64 x 4))) (*.f64 72000/12167 (/.f64 1 (pow.f64 x 6))))))
Outputs
1/6
(+.f64 1/6 (*.f64 -23/360 (pow.f64 x 2)))
(+.f64 1/6 (*.f64 -23/360 (*.f64 x x)))
(fma.f64 -23/360 (*.f64 x x) 1/6)
(+.f64 1/6 (*.f64 -23/360 (pow.f64 x 2)))
(+.f64 1/6 (*.f64 -23/360 (*.f64 x x)))
(fma.f64 -23/360 (*.f64 x x) 1/6)
(+.f64 1/6 (*.f64 -23/360 (pow.f64 x 2)))
(+.f64 1/6 (*.f64 -23/360 (*.f64 x x)))
(fma.f64 -23/360 (*.f64 x x) 1/6)
(*.f64 -23/360 (pow.f64 x 2))
(*.f64 -23/360 (*.f64 x x))
(+.f64 1/6 (*.f64 -23/360 (pow.f64 x 2)))
(+.f64 1/6 (*.f64 -23/360 (*.f64 x x)))
(fma.f64 -23/360 (*.f64 x x) 1/6)
(+.f64 1/6 (*.f64 -23/360 (pow.f64 x 2)))
(+.f64 1/6 (*.f64 -23/360 (*.f64 x x)))
(fma.f64 -23/360 (*.f64 x x) 1/6)
(+.f64 1/6 (*.f64 -23/360 (pow.f64 x 2)))
(+.f64 1/6 (*.f64 -23/360 (*.f64 x x)))
(fma.f64 -23/360 (*.f64 x x) 1/6)
(*.f64 -23/360 (pow.f64 x 2))
(*.f64 -23/360 (*.f64 x x))
(+.f64 1/6 (*.f64 -23/360 (pow.f64 x 2)))
(+.f64 1/6 (*.f64 -23/360 (*.f64 x x)))
(fma.f64 -23/360 (*.f64 x x) 1/6)
(+.f64 1/6 (*.f64 -23/360 (pow.f64 x 2)))
(+.f64 1/6 (*.f64 -23/360 (*.f64 x x)))
(fma.f64 -23/360 (*.f64 x x) 1/6)
(+.f64 1/6 (*.f64 -23/360 (pow.f64 x 2)))
(+.f64 1/6 (*.f64 -23/360 (*.f64 x x)))
(fma.f64 -23/360 (*.f64 x x) 1/6)
(*.f64 -23/360 x)
(*.f64 -23/360 x)
(*.f64 -23/360 x)
(*.f64 -23/360 x)
(*.f64 -23/360 x)
(*.f64 -23/360 x)
(*.f64 -23/360 x)
(*.f64 -23/360 x)
(*.f64 -23/360 x)
(*.f64 -23/360 x)
(*.f64 -23/360 x)
(*.f64 -23/360 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 -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)))
(log.f64 1/6)
(+.f64 (*.f64 -23/60 (pow.f64 x 2)) (log.f64 1/6))
(fma.f64 -23/60 (*.f64 x x) (log.f64 1/6))
(fma.f64 (*.f64 x x) -23/60 (log.f64 1/6))
(fma.f64 x (*.f64 x -23/60) (log.f64 1/6))
(+.f64 (*.f64 -23/60 (pow.f64 x 2)) (+.f64 (*.f64 -529/7200 (pow.f64 x 4)) (log.f64 1/6)))
(fma.f64 -23/60 (*.f64 x x) (fma.f64 -529/7200 (pow.f64 x 4) (log.f64 1/6)))
(fma.f64 (*.f64 x x) -23/60 (fma.f64 (pow.f64 x 4) -529/7200 (log.f64 1/6)))
(fma.f64 x (*.f64 x -23/60) (fma.f64 (pow.f64 x 4) -529/7200 (log.f64 1/6)))
(+.f64 (*.f64 -12167/648000 (pow.f64 x 6)) (+.f64 (*.f64 -23/60 (pow.f64 x 2)) (+.f64 (*.f64 -529/7200 (pow.f64 x 4)) (log.f64 1/6))))
(fma.f64 -12167/648000 (pow.f64 x 6) (fma.f64 -23/60 (*.f64 x x) (fma.f64 -529/7200 (pow.f64 x 4) (log.f64 1/6))))
(fma.f64 -12167/648000 (pow.f64 x 6) (fma.f64 (*.f64 x x) -23/60 (fma.f64 (pow.f64 x 4) -529/7200 (log.f64 1/6))))
(fma.f64 x (*.f64 x -23/60) (fma.f64 -12167/648000 (pow.f64 x 6) (fma.f64 (pow.f64 x 4) -529/7200 (log.f64 1/6))))
(fma.f64 x (*.f64 x -23/60) (fma.f64 (pow.f64 x 4) -529/7200 (fma.f64 -12167/648000 (pow.f64 x 6) (log.f64 1/6))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (log.f64 -23/360))
(fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 -23/360))
(+.f64 (*.f64 2 (log.f64 x)) (log.f64 -23/360))
(fma.f64 2 (log.f64 x) (log.f64 -23/360))
(-.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (log.f64 -23/360)) (*.f64 60/23 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 -23/360)) (/.f64 60/23 (*.f64 x x)))
(+.f64 (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 -23/360)) (/.f64 -60/23 (*.f64 x x)))
(+.f64 (*.f64 2 (log.f64 x)) (+.f64 (log.f64 -23/360) (/.f64 -60/23 (*.f64 x x))))
(-.f64 (fma.f64 2 (log.f64 x) (log.f64 -23/360)) (/.f64 60/23 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (log.f64 -23/360)) (+.f64 (*.f64 60/23 (/.f64 1 (pow.f64 x 2))) (*.f64 1800/529 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 -23/360)) (+.f64 (/.f64 60/23 (*.f64 x x)) (/.f64 1800/529 (pow.f64 x 4))))
(+.f64 (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 -23/360)) (-.f64 (/.f64 -60/23 (*.f64 x x)) (/.f64 1800/529 (pow.f64 x 4))))
(+.f64 (*.f64 2 (log.f64 x)) (+.f64 (log.f64 -23/360) (-.f64 (/.f64 -1800/529 (pow.f64 x 4)) (/.f64 60/23 (*.f64 x x)))))
(+.f64 (-.f64 (fma.f64 2 (log.f64 x) (log.f64 -23/360)) (/.f64 60/23 (*.f64 x x))) (/.f64 -1800/529 (pow.f64 x 4)))
(-.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (log.f64 -23/360)) (+.f64 (*.f64 60/23 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1800/529 (/.f64 1 (pow.f64 x 4))) (*.f64 72000/12167 (/.f64 1 (pow.f64 x 6))))))
(-.f64 (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 -23/360)) (+.f64 (/.f64 60/23 (*.f64 x x)) (+.f64 (/.f64 1800/529 (pow.f64 x 4)) (/.f64 72000/12167 (pow.f64 x 6)))))
(-.f64 (fma.f64 -2 (neg.f64 (log.f64 x)) (log.f64 -23/360)) (+.f64 (/.f64 1800/529 (pow.f64 x 4)) (+.f64 (/.f64 60/23 (*.f64 x x)) (/.f64 72000/12167 (pow.f64 x 6)))))
(+.f64 (*.f64 2 (log.f64 x)) (+.f64 (log.f64 -23/360) (+.f64 (-.f64 (/.f64 -1800/529 (pow.f64 x 4)) (/.f64 60/23 (*.f64 x x))) (/.f64 -72000/12167 (pow.f64 x 6)))))
(+.f64 (log.f64 -23/360) (-.f64 (/.f64 -72000/12167 (pow.f64 x 6)) (+.f64 (/.f64 1800/529 (pow.f64 x 4)) (fma.f64 -2 (log.f64 x) (/.f64 60/23 (*.f64 x x))))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -23/360))
(fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -23/360))
(-.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -23/360)) (*.f64 60/23 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -23/360)) (/.f64 60/23 (*.f64 x x)))
(+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -23/360)) (/.f64 -60/23 (*.f64 x x)))
(+.f64 (log.f64 -23/360) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (/.f64 -60/23 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -23/360)) (+.f64 (*.f64 60/23 (/.f64 1 (pow.f64 x 2))) (*.f64 1800/529 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -23/360)) (+.f64 (/.f64 60/23 (*.f64 x x)) (/.f64 1800/529 (pow.f64 x 4))))
(+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -23/360)) (-.f64 (/.f64 -60/23 (*.f64 x x)) (/.f64 1800/529 (pow.f64 x 4))))
(+.f64 (log.f64 -23/360) (+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (/.f64 -60/23 (*.f64 x x))) (/.f64 -1800/529 (pow.f64 x 4))))
(+.f64 (+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -23/360)) (/.f64 -60/23 (*.f64 x x))) (/.f64 -1800/529 (pow.f64 x 4)))
(-.f64 (+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 -23/360)) (+.f64 (*.f64 60/23 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1800/529 (/.f64 1 (pow.f64 x 4))) (*.f64 72000/12167 (/.f64 1 (pow.f64 x 6))))))
(-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -23/360)) (+.f64 (/.f64 60/23 (*.f64 x x)) (+.f64 (/.f64 1800/529 (pow.f64 x 4)) (/.f64 72000/12167 (pow.f64 x 6)))))
(-.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -23/360)) (+.f64 (/.f64 1800/529 (pow.f64 x 4)) (+.f64 (/.f64 60/23 (*.f64 x x)) (/.f64 72000/12167 (pow.f64 x 6)))))
(+.f64 (log.f64 -23/360) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (+.f64 (-.f64 (/.f64 -1800/529 (pow.f64 x 4)) (/.f64 60/23 (*.f64 x x))) (/.f64 -72000/12167 (pow.f64 x 6)))))
(+.f64 (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 -23/360)) (+.f64 (/.f64 -60/23 (*.f64 x x)) (+.f64 (/.f64 -1800/529 (pow.f64 x 4)) (/.f64 -72000/12167 (pow.f64 x 6)))))

eval229.0ms (1%)

Compiler

Compiled 5922 to 4012 computations (32.3% saved)

prune73.0ms (0.3%)

Pruning

32 alts after pruning (23 fresh and 9 done)

PrunedKeptTotal
New4118419
Fresh31518
Picked101
Done4913
Total41932451
Error
0.0b
Counts
451 → 32
Alt Table
Click to see full alt table
StatusErrorProgram
0.5b
(fma.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) -23/360) 1/6) (*.f64 -11/15120 (pow.f64 x 6)))
62.3b
(fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (tan.f64 x)) (neg.f64 (cos.f64 x)))
1.6b
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
29.8b
(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))
✓29.8b
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))
59.8b
(fma.f64 x (/.f64 1 (tan.f64 x)) (neg.f64 (cos.f64 x)))
1.9b
(*.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))))
9.9b
(/.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))
30.5b
(-.f64 (+.f64 1 (*.f64 x (*.f64 1/6 x))) 1)
11.4b
(*.f64 x (cbrt.f64 (*.f64 (*.f64 (*.f64 1/36 (*.f64 x x)) x) 1/6)))
0.5b
(fma.f64 -11/15120 (pow.f64 x 6) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4))))
✓10.1b
(/.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))
0.8b
(*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) -23/360) 1/6))
✓29.7b
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
✓0.2b
(fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) -23/360) 1/6) (*.f64 -143/604800 (pow.f64 x 8))))
16.6b
(*.f64 x (sqrt.f64 (*.f64 (*.f64 x x) 1/36)))
✓29.7b
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 3)
✓11.1b
(/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))
1.7b
(*.f64 x (*.f64 (pow.f64 1/216 1/3) x))
59.8b
(*.f64 (cos.f64 x) (fma.f64 (/.f64 1 (sin.f64 x)) x -1))
1.5b
(*.f64 (*.f64 x x) (-.f64 (+.f64 1 (fma.f64 x (*.f64 x -23/360) 1/6)) 1))
✓1.5b
(*.f64 1/6 (*.f64 x x))
0.8b
(*.f64 x (+.f64 (*.f64 (*.f64 x (*.f64 x -23/360)) x) (*.f64 1/6 x)))
29.8b
(pow.f64 (pow.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)) 1/3) 3)
0.8b
(*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) -23/360) 1/6)))
29.8b
(-.f64 (+.f64 1 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 1)
14.1b
(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
30.1b
(-.f64 (+.f64 1 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6))) 1)
✓29.0b
(*.f64 x (-.f64 (+.f64 1 (*.f64 1/6 x)) 1))
0.8b
(+.f64 (*.f64 (*.f64 x (*.f64 x -23/360)) (*.f64 x x)) (*.f64 1/6 (*.f64 x x)))
✓1.5b
(*.f64 x (*.f64 1/6 x))
28.5b
(*.f64 x (-.f64 (+.f64 1 (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6))) 1))
Compiler

Compiled 406 to 291 computations (28.3% saved)

regimes48.0ms (0.2%)

Counts
50 → 1
Calls
Call 1
Inputs
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (*.f64 x x))
(-.f64 (+.f64 1 (*.f64 x (*.f64 1/6 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 (*.f64 1/6 (*.f64 x x))) 1)
(*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) -23/360) 1/6)))
(*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) -23/360) 1/6))
(*.f64 x (+.f64 (*.f64 (*.f64 x (*.f64 x -23/360)) x) (*.f64 1/6 x)))
(+.f64 (*.f64 (*.f64 x (*.f64 x -23/360)) (*.f64 x x)) (*.f64 1/6 (*.f64 x x)))
(*.f64 x (*.f64 (pow.f64 1/216 1/3) x))
(*.f64 x (sqrt.f64 (*.f64 (*.f64 x x) 1/36)))
(*.f64 (cos.f64 x) (*.f64 1/6 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6)))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6))
(*.f64 x (cbrt.f64 (*.f64 (*.f64 (*.f64 1/36 (*.f64 x x)) x) 1/6)))
(*.f64 (*.f64 x x) (-.f64 (+.f64 1 (fma.f64 x (*.f64 x -23/360) 1/6)) 1))
(*.f64 x (-.f64 (+.f64 1 (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6))) 1))
(-.f64 (+.f64 1 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6))) 1)
(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))
(exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(*.f64 x (cbrt.f64 (pow.f64 (*.f64 1/6 x) 3)))
(/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))
(*.f64 1/6 (*.f64 (pow.f64 x 3) (/.f64 1 (tan.f64 x))))
(-.f64 (+.f64 1 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 1)
(fma.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) -23/360) 1/6) (*.f64 -11/15120 (pow.f64 x 6)))
(fma.f64 x (/.f64 1 (tan.f64 x)) (neg.f64 (cos.f64 x)))
(*.f64 (cos.f64 x) (fma.f64 (/.f64 1 (sin.f64 x)) x -1))
(-.f64 (/.f64 x (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x)))
(*.f64 (*.f64 x x) (log.f64 (exp.f64 (fma.f64 x (*.f64 x -23/360) 1/6))))
(*.f64 (*.f64 x x) (exp.f64 (log.f64 (fma.f64 x (*.f64 x -23/360) 1/6))))
(/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -11/15120 (pow.f64 x 6)))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)) 1/3) 3)
(*.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) (/.f64 1 (tan.f64 x)))
(fma.f64 -11/15120 (pow.f64 x 6) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4))))
(/.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) (fma.f64 (*.f64 x x) (+.f64 (*.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 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (tan.f64 x)) (neg.f64 (cos.f64 x)))
(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 (-.f64 (*.f64 (pow.f64 x 10) 1/14400) (*.f64 (pow.f64 x 6) 1/36)) (-.f64 (*.f64 -1/120 (pow.f64 x 5)) (*.f64 1/6 (pow.f64 x 3)))) (tan.f64 x))
(/.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 (*.f64 x x) (exp.f64 (log.f64 (fma.f64 x (*.f64 x -23/360) 1/6))) (*.f64 -143/604800 (pow.f64 x 8))))
(*.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))))
Outputs
(fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) -23/360) 1/6) (*.f64 -143/604800 (pow.f64 x 8))))
Calls

3 calls:

23.0ms
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 633 to 387 computations (38.9% saved)

regimes46.0ms (0.2%)

Counts
42 → 1
Calls
Call 1
Inputs
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (*.f64 x x))
(-.f64 (+.f64 1 (*.f64 x (*.f64 1/6 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 (*.f64 1/6 (*.f64 x x))) 1)
(*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) -23/360) 1/6)))
(*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) -23/360) 1/6))
(*.f64 x (+.f64 (*.f64 (*.f64 x (*.f64 x -23/360)) x) (*.f64 1/6 x)))
(+.f64 (*.f64 (*.f64 x (*.f64 x -23/360)) (*.f64 x x)) (*.f64 1/6 (*.f64 x x)))
(*.f64 x (*.f64 (pow.f64 1/216 1/3) x))
(*.f64 x (sqrt.f64 (*.f64 (*.f64 x x) 1/36)))
(*.f64 (cos.f64 x) (*.f64 1/6 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6)))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6))
(*.f64 x (cbrt.f64 (*.f64 (*.f64 (*.f64 1/36 (*.f64 x x)) x) 1/6)))
(*.f64 (*.f64 x x) (-.f64 (+.f64 1 (fma.f64 x (*.f64 x -23/360) 1/6)) 1))
(*.f64 x (-.f64 (+.f64 1 (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6))) 1))
(-.f64 (+.f64 1 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6))) 1)
(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))
(exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(*.f64 x (cbrt.f64 (pow.f64 (*.f64 1/6 x) 3)))
(/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))
(*.f64 1/6 (*.f64 (pow.f64 x 3) (/.f64 1 (tan.f64 x))))
(-.f64 (+.f64 1 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 1)
(fma.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) -23/360) 1/6) (*.f64 -11/15120 (pow.f64 x 6)))
(fma.f64 x (/.f64 1 (tan.f64 x)) (neg.f64 (cos.f64 x)))
(*.f64 (cos.f64 x) (fma.f64 (/.f64 1 (sin.f64 x)) x -1))
(-.f64 (/.f64 x (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x)))
(*.f64 (*.f64 x x) (log.f64 (exp.f64 (fma.f64 x (*.f64 x -23/360) 1/6))))
(*.f64 (*.f64 x x) (exp.f64 (log.f64 (fma.f64 x (*.f64 x -23/360) 1/6))))
(/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -11/15120 (pow.f64 x 6)))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)) 1/3) 3)
(*.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) (/.f64 1 (tan.f64 x)))
(fma.f64 -11/15120 (pow.f64 x 6) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4))))
(/.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))
Outputs
(fma.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) -23/360) 1/6) (*.f64 -11/15120 (pow.f64 x 6)))
Calls

3 calls:

21.0ms
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
0.5b1x
0.5b1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
0.5b1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Compiler

Compiled 461 to 269 computations (41.6% saved)

regimes34.0ms (0.1%)

Counts
29 → 1
Calls
Call 1
Inputs
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (*.f64 x x))
(-.f64 (+.f64 1 (*.f64 x (*.f64 1/6 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 (*.f64 1/6 (*.f64 x x))) 1)
(*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) -23/360) 1/6)))
(*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) -23/360) 1/6))
(*.f64 x (+.f64 (*.f64 (*.f64 x (*.f64 x -23/360)) x) (*.f64 1/6 x)))
(+.f64 (*.f64 (*.f64 x (*.f64 x -23/360)) (*.f64 x x)) (*.f64 1/6 (*.f64 x x)))
(*.f64 x (*.f64 (pow.f64 1/216 1/3) x))
(*.f64 x (sqrt.f64 (*.f64 (*.f64 x x) 1/36)))
(*.f64 (cos.f64 x) (*.f64 1/6 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6)))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6))
(*.f64 x (cbrt.f64 (*.f64 (*.f64 (*.f64 1/36 (*.f64 x x)) x) 1/6)))
(*.f64 (*.f64 x x) (-.f64 (+.f64 1 (fma.f64 x (*.f64 x -23/360) 1/6)) 1))
(*.f64 x (-.f64 (+.f64 1 (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6))) 1))
(-.f64 (+.f64 1 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6))) 1)
(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))
(exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(*.f64 x (cbrt.f64 (pow.f64 (*.f64 1/6 x) 3)))
(/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))
(*.f64 1/6 (*.f64 (pow.f64 x 3) (/.f64 1 (tan.f64 x))))
(-.f64 (+.f64 1 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 1)
Outputs
(*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) -23/360) 1/6)))
Calls

3 calls:

14.0ms
x
8.0ms
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
3.0ms
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Results
ErrorSegmentsBranch
0.8b1x
0.8b1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
0.8b1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Compiler

Compiled 291 to 171 computations (41.2% saved)

regimes8.0ms (0%)

Accuracy

Total -29.0b remaining (-1982.8%)

Threshold costs -29.0b (-1982.8%)

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

1 calls:

5.0ms
x
Results
ErrorSegmentsBranch
1.5b1x
Compiler

Compiled 49 to 34 computations (30.6% saved)

simplify6.0ms (0%)

Algorithm
1×egg-herbie
Rules
7×*-commutative_binary64
1×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02276
13076
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) -23/360) 1/6) (*.f64 -143/604800 (pow.f64 x 8))))
(fma.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) -23/360) 1/6) (*.f64 -11/15120 (pow.f64 x 6)))
(*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) -23/360) 1/6)))
(*.f64 x (*.f64 1/6 x))
Outputs
(fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) -23/360) 1/6) (*.f64 -143/604800 (pow.f64 x 8))))
(fma.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) -23/360) 1/6) (*.f64 -11/15120 (pow.f64 x 6)))
(*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 x x) -23/360) 1/6)))
(*.f64 x (*.f64 1/6 x))
(*.f64 x (*.f64 x 1/6))
Compiler

Compiled 57 to 38 computations (33.3% saved)

soundness128.0ms (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
Compiler

Compiled 422 to 344 computations (18.5% saved)

end40.0ms (0.2%)

Compiler

Compiled 54 to 33 computations (38.9% saved)

Profiling

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