Details

Time bar (total: 21.3s)

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)

sample15.2s (71.4%)

Results
12.6s4394×body2048valid
2.0s2064×body1024valid
362.0ms1029×body512valid
171.0ms769×body256valid

preprocess75.0ms (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)

simplify64.0ms (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))

eval0.0ms (0%)

Compiler

Compiled 8 to 5 computations (37.5% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
31.4b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶31.4b
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Compiler

Compiled 8 to 5 computations (37.5% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
✓3.7b
(-.f64 x (sin.f64 x))
Compiler

Compiled 17 to 5 computations (70.6% saved)

series6.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite68.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

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

simplify72.0ms (0.3%)

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

Useful iterations: 3 (0.0ms)

IterNodesCost
052314
1132296
2302296
3872284
43807284
56577284
67472284
Stop Event
1×node limit
Counts
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))))

eval19.0ms (0.1%)

Compiler

Compiled 1218 to 470 computations (61.4% saved)

prune25.0ms (0.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New84791
Fresh000
Picked011
Done000
Total84892
Error
0.2b
Counts
92 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
31.5b
(/.f64 (log.f64 (exp.f64 (-.f64 x (sin.f64 x)))) (tan.f64 x))
▶11.8b
(/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))
▶12.2b
(/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))
▶0.4b
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -11/15120 (pow.f64 x 6)))
▶0.5b
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6))
▶0.9b
(*.f64 1/6 (*.f64 x x))
✓31.4b
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
11.7b
(/.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 184 to 131 computations (28.8% 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)
✓0.0b
(*.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)

series5.0ms (0%)

Counts
3 → 24
Calls

9 calls:

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

rewrite60.0ms (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
01136
123036
2250736
Stop Event
1×node limit
Counts
3 → 56
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))
(fma.f64 (*.f64 x x) -23/360 1/6)
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))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/6 (*.f64 x (*.f64 x -23/360)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x -23/360)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x -23/360)) 1) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 x x) -23/360 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 x x) -23/360 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (*.f64 x x) -23/360 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -23/360 1/6)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -23/360 1/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -23/360 1/6)) 2) (cbrt.f64 (fma.f64 (*.f64 x x) -23/360 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -23/360 1/6)) (sqrt.f64 (fma.f64 (*.f64 x x) -23/360 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x -23/360)) 3) 1/216) (+.f64 (*.f64 (*.f64 x (*.f64 x -23/360)) (*.f64 x (*.f64 x -23/360))) (-.f64 1/36 (*.f64 (*.f64 x (*.f64 x -23/360)) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x -23/360)) (*.f64 x (*.f64 x -23/360))) 1/36) (-.f64 (*.f64 x (*.f64 x -23/360)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (*.f64 x x) -23/360 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 x x) -23/360 1/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -23/360 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -23/360 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (*.f64 x x) -23/360 1/6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (*.f64 x x) -23/360 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 x x) -23/360 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) -23/360 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (*.f64 x x) -23/360 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (*.f64 x x) -23/360 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (*.f64 x x) -23/360 1/6)))))))

simplify139.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1805×fma-def_binary64
726×sqr-pow_binary64
461×*-commutative_binary64
446×distribute-lft-out_binary64
328×pow-sqr_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019294
143276
290276
3239276
4979276
52586276
63968276
74173276
84400276
94697276
105040276
115460276
126753276
137252276
147857276
Stop Event
1×node limit
Counts
80 → 70
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))))
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 x (*.f64 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 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 x (*.f64 x -11/15120) -23/360) (*.f64 1/6 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 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 x (*.f64 x -11/15120) -23/360) (*.f64 1/6 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6))))
(*.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 x (*.f64 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 x (*.f64 x -11/15120) -23/360) (*.f64 1/6 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 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 x (*.f64 x -11/15120) -23/360) (*.f64 1/6 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6))))
(*.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 x (*.f64 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 x (*.f64 x -11/15120) -23/360) (*.f64 1/6 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 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 x (*.f64 x -11/15120) -23/360) (*.f64 1/6 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6))))
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)
(fma.f64 x (*.f64 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)
(fma.f64 x (*.f64 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)
(fma.f64 x (*.f64 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)
(fma.f64 x (*.f64 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)
(fma.f64 x (*.f64 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)
(fma.f64 x (*.f64 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)
(fma.f64 x (*.f64 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)
(fma.f64 x (*.f64 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)
(fma.f64 x (*.f64 x -23/360) 1/6)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiled 11 to 5 computations (54.5% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite39.0ms (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))))))))

simplify170.0ms (0.8%)

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

Useful iterations: 0 (0.0ms)

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

localize8.0ms (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)

series14.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
13.0ms
x
@0
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6))
1.0ms
x
@inf
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6))
0.0ms
x
@-inf
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6))

rewrite47.0ms (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))))))))

simplify186.0ms (0.9%)

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))))

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 1/6 (pow.f64 x 3))
✓11.5b
(/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))
Compiler

Compiled 22 to 15 computations (31.8% saved)

series5.0ms (0%)

Counts
2 → 12
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))
1.0ms
x
@-inf
(/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))
1.0ms
x
@0
(/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))
0.0ms
x
@-inf
(*.f64 1/6 (pow.f64 x 3))
0.0ms
x
@inf
(*.f64 1/6 (pow.f64 x 3))

rewrite59.0ms (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
0819
117919
2220019
Stop Event
1×node limit
Counts
2 → 53
Calls
Call 1
Inputs
(/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))
(*.f64 1/6 (pow.f64 x 3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (/.f64 1 (/.f64 (tan.f64 x) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (*.f64 (pow.f64 x 3) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) (*.f64 1/6 (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/6 (pow.f64 x 3)) (/.f64 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (cbrt.f64 1/6)) (cbrt.f64 (tan.f64 x))) (pow.f64 (/.f64 (*.f64 x (cbrt.f64 1/6)) (cbrt.f64 (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (*.f64 x (cbrt.f64 1/6)) (cbrt.f64 (tan.f64 x))) 2) (/.f64 (*.f64 x (cbrt.f64 1/6)) (cbrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (cbrt.f64 1/6)) 2) (*.f64 (*.f64 x (cbrt.f64 1/6)) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x)))) (sqrt.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/6) (pow.f64 x 3/2)) (*.f64 (*.f64 (sqrt.f64 1/6) (pow.f64 x 3/2)) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 3) -1/6) (/.f64 1 (neg.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (tan.f64 x)) (*.f64 1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 3) 1) (/.f64 1/6 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/6 (tan.f64 x)) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (*.f64 x (cbrt.f64 1/6)) 2) 1) (/.f64 (*.f64 x (cbrt.f64 1/6)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sqrt.f64 1/6) (pow.f64 x 3/2)) 1) (/.f64 (*.f64 (sqrt.f64 1/6) (pow.f64 x 3/2)) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/6 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (pow.f64 x 3) (cbrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 1/6 (cbrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (*.f64 1/6 (pow.f64 x 3)) (cbrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (*.f64 x (cbrt.f64 1/6)) 2) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (*.f64 x (cbrt.f64 1/6)) (cbrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sqrt.f64 1/6) (pow.f64 x 3/2)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (*.f64 (sqrt.f64 1/6) (pow.f64 x 3/2)) (cbrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/6 (sqrt.f64 (tan.f64 x))) (/.f64 (pow.f64 x 3) (sqrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 3) (sqrt.f64 (tan.f64 x))) (/.f64 1/6 (sqrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (tan.f64 x))) (/.f64 (*.f64 1/6 (pow.f64 x 3)) (sqrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (*.f64 x (cbrt.f64 1/6)) 2) (sqrt.f64 (tan.f64 x))) (/.f64 (*.f64 x (cbrt.f64 1/6)) (sqrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 1/6 (pow.f64 x 3)) (sin.f64 x)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x (cbrt.f64 1/6)) (cbrt.f64 (tan.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 6 (/.f64 (tan.f64 x) (pow.f64 x 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 (pow.f64 x 6) 1/36) (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 1/6 (pow.f64 x 3)) 3) (pow.f64 (tan.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (tan.f64 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/6 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/6 (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/6) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/6 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/6 (pow.f64 x 3))))))))

simplify39.0ms (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
65 → 63
Calls
Call 1
Inputs
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2)))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -1/270 (pow.f64 x 6))))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -1/2835 (pow.f64 x 8)) (*.f64 -1/270 (pow.f64 x 6)))))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
Outputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 -1/18 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -1/18 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/18) 1/6)))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -1/270 (pow.f64 x 6))))
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) (*.f64 -1/270 (pow.f64 x 6))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -1/18 (pow.f64 x 4) (*.f64 -1/270 (pow.f64 x 6))))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -1/2835 (pow.f64 x 8)) (*.f64 -1/270 (pow.f64 x 6)))))
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) (fma.f64 -1/2835 (pow.f64 x 8) (*.f64 -1/270 (pow.f64 x 6)))))
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) (fma.f64 -1/270 (pow.f64 x 6) (*.f64 -1/2835 (pow.f64 x 8)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -1/18 (pow.f64 x 4) (fma.f64 -1/270 (pow.f64 x 6) (*.f64 -1/2835 (pow.f64 x 8)))))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(/.f64 1/6 (/.f64 (/.f64 (sin.f64 x) (pow.f64 x 3)) (cos.f64 x)))
(/.f64 (cos.f64 x) (/.f64 (/.f64 (sin.f64 x) (pow.f64 x 3)) 1/6))
(*.f64 (pow.f64 x 3) (*.f64 (/.f64 1/6 (sin.f64 x)) (cos.f64 x)))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(/.f64 1/6 (/.f64 (/.f64 (sin.f64 x) (pow.f64 x 3)) (cos.f64 x)))
(/.f64 (cos.f64 x) (/.f64 (/.f64 (sin.f64 x) (pow.f64 x 3)) 1/6))
(*.f64 (pow.f64 x 3) (*.f64 (/.f64 1/6 (sin.f64 x)) (cos.f64 x)))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(/.f64 1/6 (/.f64 (/.f64 (sin.f64 x) (pow.f64 x 3)) (cos.f64 x)))
(/.f64 (cos.f64 x) (/.f64 (/.f64 (sin.f64 x) (pow.f64 x 3)) 1/6))
(*.f64 (pow.f64 x 3) (*.f64 (/.f64 1/6 (sin.f64 x)) (cos.f64 x)))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(/.f64 1/6 (/.f64 (/.f64 (sin.f64 x) (pow.f64 x 3)) (cos.f64 x)))
(/.f64 (cos.f64 x) (/.f64 (/.f64 (sin.f64 x) (pow.f64 x 3)) 1/6))
(*.f64 (pow.f64 x 3) (*.f64 (/.f64 1/6 (sin.f64 x)) (cos.f64 x)))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(/.f64 1/6 (/.f64 (/.f64 (sin.f64 x) (pow.f64 x 3)) (cos.f64 x)))
(/.f64 (cos.f64 x) (/.f64 (/.f64 (sin.f64 x) (pow.f64 x 3)) 1/6))
(*.f64 (pow.f64 x 3) (*.f64 (/.f64 1/6 (sin.f64 x)) (cos.f64 x)))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(/.f64 1/6 (/.f64 (/.f64 (sin.f64 x) (pow.f64 x 3)) (cos.f64 x)))
(/.f64 (cos.f64 x) (/.f64 (/.f64 (sin.f64 x) (pow.f64 x 3)) 1/6))
(*.f64 (pow.f64 x 3) (*.f64 (/.f64 1/6 (sin.f64 x)) (cos.f64 x)))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(/.f64 1/6 (/.f64 (/.f64 (sin.f64 x) (pow.f64 x 3)) (cos.f64 x)))
(/.f64 (cos.f64 x) (/.f64 (/.f64 (sin.f64 x) (pow.f64 x 3)) 1/6))
(*.f64 (pow.f64 x 3) (*.f64 (/.f64 1/6 (sin.f64 x)) (cos.f64 x)))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(/.f64 1/6 (/.f64 (/.f64 (sin.f64 x) (pow.f64 x 3)) (cos.f64 x)))
(/.f64 (cos.f64 x) (/.f64 (/.f64 (sin.f64 x) (pow.f64 x 3)) 1/6))
(*.f64 (pow.f64 x 3) (*.f64 (/.f64 1/6 (sin.f64 x)) (cos.f64 x)))

localize23.0ms (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))
0.1b
(*.f64 1/6 (pow.f64 x 3))
✓11.5b
(/.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)

series47.0ms (0.2%)

Counts
3 → 15
Calls

9 calls:

TimeVariablePointExpression
41.0ms
x
@0
(/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))
3.0ms
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))
0.0ms
x
@0
(*.f64 -1/120 (pow.f64 x 5))
0.0ms
x
@-inf
(*.f64 -1/120 (pow.f64 x 5))

rewrite76.0ms (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
01340
129540
2363340
Stop Event
1×node limit
Counts
3 → 119
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))
(*.f64 -1/120 (pow.f64 x 5))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/120 (pow.f64 x 5)))
Outputs
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((#(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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#<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 x 6) 1/36 (neg.f64 (*.f64 (pow.f64 x 10) 1/14400)))) (neg.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/120 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (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 (pow.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5)))) 2)))) (#(struct:change #<rule egg-rr> (2) 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(expm1.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 (*.f64 x x) 1/6) (*.f64 -1/120 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) 1/6 (*.f64 -1/120 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/6 (pow.f64 x 3)) 1 (*.f64 -1/120 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 5) -1/120 (*.f64 1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/120 (pow.f64 x 5)) 1 (*.f64 1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/120 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/120 (pow.f64 x 5)) (*.f64 1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (*.f64 x 1/6) (*.f64 -1/120 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 10)) (*.f64 (pow.f64 (cbrt.f64 x) 5) -1/120) (*.f64 1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 1/6)) (pow.f64 (*.f64 x (cbrt.f64 1/6)) 2) (*.f64 -1/120 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x (cbrt.f64 1/6)) 2) (*.f64 x (cbrt.f64 1/6)) (*.f64 -1/120 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 -1/120 (pow.f64 x 5))) (cbrt.f64 (*.f64 (pow.f64 x 10) 1/14400)) (*.f64 1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 10) 1/14400)) (cbrt.f64 (*.f64 -1/120 (pow.f64 x 5))) (*.f64 1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 1/6) (pow.f64 x 3/2)) (*.f64 (sqrt.f64 1/6) (pow.f64 x 3/2)) (*.f64 -1/120 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 -1/120) (pow.f64 x 5/2)) (*.f64 (sqrt.f64 -1/120) (pow.f64 x 5/2)) (*.f64 1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) 1/6) (*.f64 -1/120 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 5/2) (*.f64 (pow.f64 x 5/2) -1/120) (*.f64 1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/6 x) (*.f64 x x) (*.f64 -1/120 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/6 (*.f64 x x)) x (*.f64 -1/120 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/6 (pow.f64 x 3/2)) (pow.f64 x 3/2) (*.f64 -1/120 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/120 (cbrt.f64 (pow.f64 x 10))) (pow.f64 (cbrt.f64 x) 5) (*.f64 1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/120 (pow.f64 x 5/2)) (pow.f64 x 5/2) (*.f64 1/6 (pow.f64 x 3)))))))

simplify103.0ms (0.5%)

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

Useful iterations: 4 (0.0ms)

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

eval240.0ms (1.1%)

Compiler

Compiled 5599 to 3813 computations (31.9% saved)

prune61.0ms (0.3%)

Pruning

19 alts after pruning (17 fresh and 2 done)

PrunedKeptTotal
New32315338
Fresh022
Picked101
Done325
Total32719346
Error
0.0b
Counts
346 → 19
Alt Table
Click to see full alt table
StatusErrorProgram
25.9b
(/.f64 (sqrt.f64 (*.f64 (pow.f64 x 6) 1/36)) (tan.f64 x))
0.5b
(*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x -23/360)) 1/6))
▶31.5b
(/.f64 (log.f64 (exp.f64 (-.f64 x (sin.f64 x)))) (tan.f64 x))
30.8b
(*.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))))
0.4b
(fma.f64 (*.f64 x 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)))) (*.f64 -11/15120 (pow.f64 x 6)))
0.5b
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6)))
3.7b
(exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))
▶0.3b
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6))))
1.4b
(*.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))))
✓31.4b
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
1.5b
(pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)
11.7b
(/.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))
▶31.5b
(-.f64 (+.f64 1 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6))) 1)
31.7b
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)
0.7b
(*.f64 (*.f64 x x) (exp.f64 (log.f64 (fma.f64 (*.f64 x x) -23/360 1/6))))
▶0.9b
(*.f64 x (*.f64 1/6 x))
✓0.9b
(*.f64 1/6 (*.f64 x x))
▶0.4b
(fma.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x -23/360)) 1/6) (*.f64 -11/15120 (pow.f64 x 6)))
1.0b
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
Compiler

Compiled 508 to 371 computations (27% saved)

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 (pow.f64 x 4) -11/15120 1/6)
✓0.1b
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6))))
✓0.3b
(*.f64 x (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6)))
✓0.5b
(*.f64 x -23/360)
Compiler

Compiled 57 to 41 computations (28.1% saved)

series7.0ms (0%)

Counts
4 → 48
Calls

12 calls:

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

rewrite115.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
517×log-prod_binary64
395×exp-prod_binary64
393×prod-exp_binary64
328×pow-prod-down_binary64
293×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01251
125151
2276551
Stop Event
1×node limit
Counts
4 → 133
Calls
Call 1
Inputs
(*.f64 x -23/360)
(*.f64 x (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6))))
(fma.f64 (pow.f64 x 4) -11/15120 1/6)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x -23/360))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -23/360)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -23/360))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) -23/360))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) -23/360))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.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 (*.f64 (*.f64 x x) 529/129600) 1/2)))) (#(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 pow.f64 (exp.f64 1) (log.f64 (*.f64 x -23/360)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x -23/360))) 2)) (cbrt.f64 (log.f64 (*.f64 x -23/360))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x -23/360)))) (sqrt.f64 (log.f64 (*.f64 x -23/360))))))) (#(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 log.f64 (+.f64 1 (expm1.f64 (*.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 exp.f64 (*.f64 (log.f64 (*.f64 x -23/360)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x -23/360))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x -23/360))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x -23/360))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x -23/360)) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x -23/360)) x) (*.f64 (fma.f64 (pow.f64 x 4) -11/15120 1/6) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x (*.f64 x -23/360))) (*.f64 x (fma.f64 (pow.f64 x 4) -11/15120 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x 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egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6))))) 2)) (cbrt.f64 (log.f64 (*.f64 x (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6)))))) (sqrt.f64 (log.f64 (*.f64 x (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (*.f64 (log.f64 (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6))) 1) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6))) (*.f64 (log.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6))) 1) (*.f64 (log.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x (*.f64 x -23/360)) (*.f64 x (fma.f64 (pow.f64 x 4) -11/15120 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (*.f64 x -23/360)) x (*.f64 (fma.f64 (pow.f64 x 4) -11/15120 1/6) x))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x -23/360)) (*.f64 x x)) (*.f64 (fma.f64 (pow.f64 x 4) -11/15120 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) (fma.f64 (pow.f64 x 4) -11/15120 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6))) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6))) x))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6)) (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6)) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6)))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6)))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6)) (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6)))) 2)))) (#(struct:change #<rule 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4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6))) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6)) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6)))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6)) (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6)))) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6)) (*.f64 x x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6)) (*.f64 x x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (*.f64 x (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (*.f64 x (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (*.f64 (log.f64 (*.f64 x (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6))) 1) (*.f64 2 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6))) (*.f64 (log.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6))) 1) (*.f64 (log.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6)))) 1) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 x (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6)))) (*.f64 (log.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6)))) 1) (*.f64 (log.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 2) (log.f64 (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 2 (log.f64 x)) (*.f64 (log.f64 (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 2) (*.f64 (log.f64 (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (*.f64 x (*.f64 x -23/360)) (*.f64 (*.f64 x x) (fma.f64 (pow.f64 x 4) -11/15120 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (*.f64 x -23/360)) (*.f64 x x) (*.f64 (fma.f64 (pow.f64 x 4) -11/15120 1/6) (*.f64 x x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/6 (*.f64 (pow.f64 x 4) -11/15120))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 4) -11/15120) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (pow.f64 x 4) -11/15120 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 x 4) -11/15120) 1) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (pow.f64 x 4) -11/15120 1/6))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (pow.f64 x 4) -11/15120 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (pow.f64 x 4) -11/15120 1/6)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (pow.f64 x 4) -11/15120 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 x 4) -11/15120 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 4) -11/15120 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (pow.f64 x 4) -11/15120 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) -11/15120 1/6)) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) -11/15120 1/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) -11/15120 1/6)) 2) (cbrt.f64 (fma.f64 (pow.f64 x 4) -11/15120 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) -11/15120 1/6)) (sqrt.f64 (fma.f64 (pow.f64 x 4) -11/15120 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x 4) -11/15120) 3) 1/216) (+.f64 (pow.f64 (*.f64 (pow.f64 x 4) -11/15120) 2) (-.f64 1/36 (*.f64 (*.f64 (pow.f64 x 4) -11/15120) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x 4) -11/15120) 2) 1/36) (fma.f64 (pow.f64 x 4) -11/15120 -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (pow.f64 x 4) -11/15120 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (pow.f64 x 4) -11/15120 1/6) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (pow.f64 x 4) -11/15120 1/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) -11/15120 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) -11/15120 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 (pow.f64 x 4) -11/15120 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (pow.f64 x 4) -11/15120 1/6))) 2)) (cbrt.f64 (log.f64 (fma.f64 (pow.f64 x 4) -11/15120 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (pow.f64 x 4) -11/15120 1/6)))) (sqrt.f64 (log.f64 (fma.f64 (pow.f64 x 4) -11/15120 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (pow.f64 x 4) -11/15120 1/6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (pow.f64 x 4) -11/15120 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 x 4) -11/15120 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 4) -11/15120 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x 4) -11/15120 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (pow.f64 x 4) -11/15120 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (pow.f64 x 4) -11/15120 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 x 4) -11/15120 1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (pow.f64 x 4) -11/15120 1/6))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (pow.f64 x 4) -11/15120 1/6))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) -11/15120 1/6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 x 4) -11/15120 1/6)) 1) 1))))))

simplify132.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
707×fma-def_binary64
640×*-commutative_binary64
555×distribute-lft-out_binary64
543×sqr-pow_binary64
492×unswap-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030489
176489
2163489
3426489
41736489
54375489
65217489
75665489
86012489
96467489
107084489
117825489
Stop Event
1×node limit
Counts
181 → 156
Calls
Call 1
Inputs
(*.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 x)
(+.f64 (*.f64 1/6 x) (*.f64 -23/360 (pow.f64 x 3)))
(+.f64 (*.f64 1/6 x) (+.f64 (*.f64 -11/15120 (pow.f64 x 5)) (*.f64 -23/360 (pow.f64 x 3))))
(+.f64 (*.f64 1/6 x) (+.f64 (*.f64 -11/15120 (pow.f64 x 5)) (*.f64 -23/360 (pow.f64 x 3))))
(*.f64 -11/15120 (pow.f64 x 5))
(+.f64 (*.f64 -11/15120 (pow.f64 x 5)) (*.f64 -23/360 (pow.f64 x 3)))
(+.f64 (*.f64 1/6 x) (+.f64 (*.f64 -11/15120 (pow.f64 x 5)) (*.f64 -23/360 (pow.f64 x 3))))
(+.f64 (*.f64 1/6 x) (+.f64 (*.f64 -11/15120 (pow.f64 x 5)) (*.f64 -23/360 (pow.f64 x 3))))
(*.f64 -11/15120 (pow.f64 x 5))
(+.f64 (*.f64 -11/15120 (pow.f64 x 5)) (*.f64 -23/360 (pow.f64 x 3)))
(+.f64 (*.f64 1/6 x) (+.f64 (*.f64 -11/15120 (pow.f64 x 5)) (*.f64 -23/360 (pow.f64 x 3))))
(+.f64 (*.f64 1/6 x) (+.f64 (*.f64 -11/15120 (pow.f64 x 5)) (*.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 (*.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))))
1/6
(+.f64 (*.f64 -11/15120 (pow.f64 x 4)) 1/6)
(+.f64 (*.f64 -11/15120 (pow.f64 x 4)) 1/6)
(+.f64 (*.f64 -11/15120 (pow.f64 x 4)) 1/6)
(*.f64 -11/15120 (pow.f64 x 4))
(+.f64 (*.f64 -11/15120 (pow.f64 x 4)) 1/6)
(+.f64 (*.f64 -11/15120 (pow.f64 x 4)) 1/6)
(+.f64 (*.f64 -11/15120 (pow.f64 x 4)) 1/6)
(*.f64 -11/15120 (pow.f64 x 4))
(+.f64 (*.f64 -11/15120 (pow.f64 x 4)) 1/6)
(+.f64 (*.f64 -11/15120 (pow.f64 x 4)) 1/6)
(+.f64 (*.f64 -11/15120 (pow.f64 x 4)) 1/6)
Outputs
(*.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 x)
(*.f64 x 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)))
(fma.f64 -23/360 (pow.f64 x 3) (*.f64 x 1/6))
(+.f64 (*.f64 1/6 x) (+.f64 (*.f64 -11/15120 (pow.f64 x 5)) (*.f64 -23/360 (pow.f64 x 3))))
(fma.f64 1/6 x (fma.f64 -11/15120 (pow.f64 x 5) (*.f64 -23/360 (pow.f64 x 3))))
(fma.f64 x 1/6 (fma.f64 -23/360 (pow.f64 x 3) (*.f64 -11/15120 (pow.f64 x 5))))
(fma.f64 -11/15120 (pow.f64 x 5) (fma.f64 -23/360 (pow.f64 x 3) (*.f64 x 1/6)))
(fma.f64 -23/360 (pow.f64 x 3) (fma.f64 x 1/6 (*.f64 -11/15120 (pow.f64 x 5))))
(*.f64 x (fma.f64 -11/15120 (pow.f64 x 4) (fma.f64 -23/360 (*.f64 x x) 1/6)))
(+.f64 (*.f64 1/6 x) (+.f64 (*.f64 -11/15120 (pow.f64 x 5)) (*.f64 -23/360 (pow.f64 x 3))))
(fma.f64 1/6 x (fma.f64 -11/15120 (pow.f64 x 5) (*.f64 -23/360 (pow.f64 x 3))))
(fma.f64 x 1/6 (fma.f64 -23/360 (pow.f64 x 3) (*.f64 -11/15120 (pow.f64 x 5))))
(fma.f64 -11/15120 (pow.f64 x 5) (fma.f64 -23/360 (pow.f64 x 3) (*.f64 x 1/6)))
(fma.f64 -23/360 (pow.f64 x 3) (fma.f64 x 1/6 (*.f64 -11/15120 (pow.f64 x 5))))
(*.f64 x (fma.f64 -11/15120 (pow.f64 x 4) (fma.f64 -23/360 (*.f64 x x) 1/6)))
(*.f64 -11/15120 (pow.f64 x 5))
(+.f64 (*.f64 -11/15120 (pow.f64 x 5)) (*.f64 -23/360 (pow.f64 x 3)))
(fma.f64 -11/15120 (pow.f64 x 5) (*.f64 -23/360 (pow.f64 x 3)))
(fma.f64 -23/360 (pow.f64 x 3) (*.f64 -11/15120 (pow.f64 x 5)))
(*.f64 (pow.f64 x 3) (fma.f64 x (*.f64 x -11/15120) -23/360))
(+.f64 (*.f64 1/6 x) (+.f64 (*.f64 -11/15120 (pow.f64 x 5)) (*.f64 -23/360 (pow.f64 x 3))))
(fma.f64 1/6 x (fma.f64 -11/15120 (pow.f64 x 5) (*.f64 -23/360 (pow.f64 x 3))))
(fma.f64 x 1/6 (fma.f64 -23/360 (pow.f64 x 3) (*.f64 -11/15120 (pow.f64 x 5))))
(fma.f64 -11/15120 (pow.f64 x 5) (fma.f64 -23/360 (pow.f64 x 3) (*.f64 x 1/6)))
(fma.f64 -23/360 (pow.f64 x 3) (fma.f64 x 1/6 (*.f64 -11/15120 (pow.f64 x 5))))
(*.f64 x (fma.f64 -11/15120 (pow.f64 x 4) (fma.f64 -23/360 (*.f64 x x) 1/6)))
(+.f64 (*.f64 1/6 x) (+.f64 (*.f64 -11/15120 (pow.f64 x 5)) (*.f64 -23/360 (pow.f64 x 3))))
(fma.f64 1/6 x (fma.f64 -11/15120 (pow.f64 x 5) (*.f64 -23/360 (pow.f64 x 3))))
(fma.f64 x 1/6 (fma.f64 -23/360 (pow.f64 x 3) (*.f64 -11/15120 (pow.f64 x 5))))
(fma.f64 -11/15120 (pow.f64 x 5) (fma.f64 -23/360 (pow.f64 x 3) (*.f64 x 1/6)))
(fma.f64 -23/360 (pow.f64 x 3) (fma.f64 x 1/6 (*.f64 -11/15120 (pow.f64 x 5))))
(*.f64 x (fma.f64 -11/15120 (pow.f64 x 4) (fma.f64 -23/360 (*.f64 x x) 1/6)))
(*.f64 -11/15120 (pow.f64 x 5))
(+.f64 (*.f64 -11/15120 (pow.f64 x 5)) (*.f64 -23/360 (pow.f64 x 3)))
(fma.f64 -11/15120 (pow.f64 x 5) (*.f64 -23/360 (pow.f64 x 3)))
(fma.f64 -23/360 (pow.f64 x 3) (*.f64 -11/15120 (pow.f64 x 5)))
(*.f64 (pow.f64 x 3) (fma.f64 x (*.f64 x -11/15120) -23/360))
(+.f64 (*.f64 1/6 x) (+.f64 (*.f64 -11/15120 (pow.f64 x 5)) (*.f64 -23/360 (pow.f64 x 3))))
(fma.f64 1/6 x (fma.f64 -11/15120 (pow.f64 x 5) (*.f64 -23/360 (pow.f64 x 3))))
(fma.f64 x 1/6 (fma.f64 -23/360 (pow.f64 x 3) (*.f64 -11/15120 (pow.f64 x 5))))
(fma.f64 -11/15120 (pow.f64 x 5) (fma.f64 -23/360 (pow.f64 x 3) (*.f64 x 1/6)))
(fma.f64 -23/360 (pow.f64 x 3) (fma.f64 x 1/6 (*.f64 -11/15120 (pow.f64 x 5))))
(*.f64 x (fma.f64 -11/15120 (pow.f64 x 4) (fma.f64 -23/360 (*.f64 x x) 1/6)))
(+.f64 (*.f64 1/6 x) (+.f64 (*.f64 -11/15120 (pow.f64 x 5)) (*.f64 -23/360 (pow.f64 x 3))))
(fma.f64 1/6 x (fma.f64 -11/15120 (pow.f64 x 5) (*.f64 -23/360 (pow.f64 x 3))))
(fma.f64 x 1/6 (fma.f64 -23/360 (pow.f64 x 3) (*.f64 -11/15120 (pow.f64 x 5))))
(fma.f64 -11/15120 (pow.f64 x 5) (fma.f64 -23/360 (pow.f64 x 3) (*.f64 x 1/6)))
(fma.f64 -23/360 (pow.f64 x 3) (fma.f64 x 1/6 (*.f64 -11/15120 (pow.f64 x 5))))
(*.f64 x (fma.f64 -11/15120 (pow.f64 x 4) (fma.f64 -23/360 (*.f64 x x) 1/6)))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 x 1/6))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 x (*.f64 x 1/6)))
(*.f64 x (fma.f64 -23/360 (pow.f64 x 3) (*.f64 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 1/6 (*.f64 x x) (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 x (*.f64 x 1/6) (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 -23/360 (pow.f64 x 4))))
(*.f64 (*.f64 x x) (fma.f64 -11/15120 (pow.f64 x 4) (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 1/6 (*.f64 x x) (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 x (*.f64 x 1/6) (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 -23/360 (pow.f64 x 4))))
(*.f64 (*.f64 x x) (fma.f64 -11/15120 (pow.f64 x 4) (fma.f64 -23/360 (*.f64 x x) 1/6)))
(*.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 x (*.f64 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))))
(fma.f64 -23/360 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/6) (*.f64 -11/15120 (pow.f64 x 6))))
(fma.f64 x (*.f64 x 1/6) (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 -23/360 (pow.f64 x 4))))
(*.f64 (*.f64 x x) (fma.f64 -11/15120 (pow.f64 x 4) (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 1/6 (*.f64 x x) (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 x (*.f64 x 1/6) (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 -23/360 (pow.f64 x 4))))
(*.f64 (*.f64 x x) (fma.f64 -11/15120 (pow.f64 x 4) (fma.f64 -23/360 (*.f64 x x) 1/6)))
(*.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 x (*.f64 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))))
(fma.f64 -23/360 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/6) (*.f64 -11/15120 (pow.f64 x 6))))
(fma.f64 x (*.f64 x 1/6) (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 -23/360 (pow.f64 x 4))))
(*.f64 (*.f64 x x) (fma.f64 -11/15120 (pow.f64 x 4) (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 1/6 (*.f64 x x) (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 x (*.f64 x 1/6) (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 -23/360 (pow.f64 x 4))))
(*.f64 (*.f64 x x) (fma.f64 -11/15120 (pow.f64 x 4) (fma.f64 -23/360 (*.f64 x x) 1/6)))
1/6
(+.f64 (*.f64 -11/15120 (pow.f64 x 4)) 1/6)
(fma.f64 -11/15120 (pow.f64 x 4) 1/6)
(+.f64 (*.f64 -11/15120 (pow.f64 x 4)) 1/6)
(fma.f64 -11/15120 (pow.f64 x 4) 1/6)
(+.f64 (*.f64 -11/15120 (pow.f64 x 4)) 1/6)
(fma.f64 -11/15120 (pow.f64 x 4) 1/6)
(*.f64 -11/15120 (pow.f64 x 4))
(+.f64 (*.f64 -11/15120 (pow.f64 x 4)) 1/6)
(fma.f64 -11/15120 (pow.f64 x 4) 1/6)
(+.f64 (*.f64 -11/15120 (pow.f64 x 4)) 1/6)
(fma.f64 -11/15120 (pow.f64 x 4) 1/6)
(+.f64 (*.f64 -11/15120 (pow.f64 x 4)) 1/6)
(fma.f64 -11/15120 (pow.f64 x 4) 1/6)
(*.f64 -11/15120 (pow.f64 x 4))
(+.f64 (*.f64 -11/15120 (pow.f64 x 4)) 1/6)
(fma.f64 -11/15120 (pow.f64 x 4) 1/6)
(+.f64 (*.f64 -11/15120 (pow.f64 x 4)) 1/6)
(fma.f64 -11/15120 (pow.f64 x 4) 1/6)
(+.f64 (*.f64 -11/15120 (pow.f64 x 4)) 1/6)
(fma.f64 -11/15120 (pow.f64 x 4) 1/6)

localize23.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 11 to 7 computations (36.4% saved)

series2.0ms (0%)

Counts
2 → 12
Calls

6 calls:

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

rewrite55.0ms (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))))))))

simplify171.0ms (0.8%)

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

Useful iterations: 0 (0.0ms)

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

localize97.0ms (0.5%)

Local error

Found 3 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))
✓3.7b
(-.f64 (+.f64 1 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6))) 1)
Compiler

Compiled 50 to 26 computations (48% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite73.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
616×unpow-prod-down_binary64
595×prod-diff_binary64
501×fma-def_binary64
397×log-prod_binary64
239×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01020
122014
2287114
Stop Event
1×node limit
Counts
1 → 113
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6))) 1)
Outputs
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2) -1)) -1)))) (#(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 (pow.f64 (exp.f64 x) x) (fma.f64 x (*.f64 x -23/360) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (*.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -23/360) 1/6))) (sqrt.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log.f64 x) (log.f64 (fma.f64 x (*.f64 x -23/360) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 2 (log.f64 x) (log.f64 (fma.f64 x (*.f64 x -23/360) 1/6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (*.f64 x (*.f64 x -23/360)) (*.f64 (*.f64 x x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x (*.f64 x -23/360) 1/6) (*.f64 x x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6)) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6))) (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (*.f64 x -23/360) 1/6) 2) (pow.f64 x 4))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (*.f64 x -23/360) 1/6) 2) (pow.f64 x 4))) (cbrt.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6) 1)) (cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6) 1) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6) 1) 2)) (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6) 1) 2)) (*.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6) 1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -23/360) 1/6)) 2) (*.f64 (cbrt.f64 (fma.f64 x (*.f64 x -23/360) 1/6)) (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 x (*.f64 x -23/360) 1/6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -23/360) 1/6))) (*.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -23/360) 1/6))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -23/360) 1/6)))) (hypot.f64 1 (*.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -23/360) 1/6)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -23/360) 1/6)))) (*.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -23/360) 1/6)))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x (*.f64 x -23/360) 1/6)) (*.f64 (sqrt.f64 (fma.f64 x (*.f64 x -23/360) 1/6)) (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (*.f64 x -23/360)) (*.f64 x x) (*.f64 1/6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6) 1) 2) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6)) 3)) (/.f64 1 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6) -1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6) 1) 2) -1) (/.f64 1 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 (pow.f64 (fma.f64 x (*.f64 x -23/360) 1/6) 2) (pow.f64 x 4))) (/.f64 1 (-.f64 1 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6)) x 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6) -1)) 2) (cbrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6) -1)) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -23/360) 1/6)))) 1) (-.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -23/360) 1/6)))) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -23/360) 1/6)) 1) (fma.f64 x (sqrt.f64 (fma.f64 x (*.f64 x -23/360) 1/6)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x x) (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)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x (*.f64 x -23/360) 1/6))) (sqrt.f64 (fma.f64 x (*.f64 x -23/360) 1/6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (fma.f64 x (*.f64 x -23/360) 1/6) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) 0)))))

simplify182.0ms (0.9%)

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
125 → 118
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))))

localize59.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 -11/15120 (pow.f64 x 6))
✓0.1b
(*.f64 x (*.f64 x -23/360))
✓0.2b
(fma.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x -23/360)) 1/6) (*.f64 -11/15120 (pow.f64 x 6)))
0.5b
(*.f64 x -23/360)
Compiler

Compiled 48 to 32 computations (33.3% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite118.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
561×log-prod_binary64
351×pow-prod-down_binary64
333×prod-diff_binary64
325×pow2_binary64
225×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01328
128128
2326528
Stop Event
1×node limit
Counts
2 → 47
Calls
Call 1
Inputs
(fma.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x -23/360)) 1/6) (*.f64 -11/15120 (pow.f64 x 6)))
(*.f64 x (*.f64 x -23/360))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 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 0 (fma.f64 x (*.f64 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 x (*.f64 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 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6)) (*.f64 -11/15120 (pow.f64 x 6))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (*.f64 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 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6)) (*.f64 -11/15120 (pow.f64 x 6)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (*.f64 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 (fma.f64 x (*.f64 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 x (*.f64 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 x (*.f64 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 x (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6)) (*.f64 -11/15120 (pow.f64 x 6)))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 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 x (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6)) (*.f64 -11/15120 (pow.f64 x 6)))) 2) (cbrt.f64 (fma.f64 x (*.f64 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 x (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6)) (*.f64 -11/15120 (pow.f64 x 6)))) (sqrt.f64 (fma.f64 x (*.f64 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 (pow.f64 x 6) (pow.f64 (fma.f64 (*.f64 x x) -23/360 1/6) 3)) (pow.f64 (*.f64 -11/15120 (pow.f64 x 6)) 3)) (+.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6))) 2) (-.f64 (*.f64 (pow.f64 x 12) 121/228614400) (*.f64 (*.f64 x (*.f64 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 x (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6))) 2) (*.f64 (pow.f64 x 12) 121/228614400)) (-.f64 (*.f64 x (*.f64 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 x (*.f64 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 x (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6)) (*.f64 -11/15120 (pow.f64 x 6))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (*.f64 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 x (*.f64 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 x (*.f64 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 x (*.f64 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 x (*.f64 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 x (*.f64 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 (pow.f64 (exp.f64 -11/15120) (pow.f64 x 6)) (exp.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -11/15120 (pow.f64 x 6)))) (exp.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6)))) (+.f64 1 (expm1.f64 (*.f64 -11/15120 (pow.f64 x 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (*.f64 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 x (*.f64 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 x (*.f64 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 x (*.f64 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 (*.f64 (log.f64 (fma.f64 x (*.f64 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 0 (*.f64 x (*.f64 x -23/360)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -23/360) x) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -23/360) x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 -23/360) x) x))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 -23/360) x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x -23/360)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x -23/360)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 4) 529/129600) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -23/360))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -23/360)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 6) -12167/46656000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 529/129600))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 -23/360) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -23/360)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 6) -12167/46656000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -23/360))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -23/360))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log.f64 x) (log.f64 -23/360)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 2 (log.f64 x) (log.f64 -23/360)) 1))))))

simplify137.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1806×fma-def_binary64
726×sqr-pow_binary64
448×distribute-lft-out_binary64
443×*-commutative_binary64
328×pow-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018273
141273
286273
3232273
4994273
52574273
63956273
74161273
84388273
94685273
105028273
115449273
126745273
137244273
147849273
Stop Event
1×node limit
Counts
71 → 58
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))))
(*.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))
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 (fma.f64 1/6 x (*.f64 -23/360 (pow.f64 x 3))))
(*.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 x (fma.f64 1/6 x (*.f64 -23/360 (pow.f64 x 3))) (*.f64 -11/15120 (pow.f64 x 6)))
(fma.f64 (pow.f64 x 4) (fma.f64 (*.f64 x x) -11/15120 -23/360) (*.f64 1/6 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x (fma.f64 x -23/360 (*.f64 -11/15120 (pow.f64 x 3))) 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 x (fma.f64 1/6 x (*.f64 -23/360 (pow.f64 x 3))) (*.f64 -11/15120 (pow.f64 x 6)))
(fma.f64 (pow.f64 x 4) (fma.f64 (*.f64 x x) -11/15120 -23/360) (*.f64 1/6 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x (fma.f64 x -23/360 (*.f64 -11/15120 (pow.f64 x 3))) 1/6)))
(*.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))))
(fma.f64 x (fma.f64 1/6 x (*.f64 -23/360 (pow.f64 x 3))) (*.f64 -11/15120 (pow.f64 x 6)))
(fma.f64 (pow.f64 x 4) (fma.f64 (*.f64 x x) -11/15120 -23/360) (*.f64 1/6 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x (fma.f64 x -23/360 (*.f64 -11/15120 (pow.f64 x 3))) 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 x (fma.f64 1/6 x (*.f64 -23/360 (pow.f64 x 3))) (*.f64 -11/15120 (pow.f64 x 6)))
(fma.f64 (pow.f64 x 4) (fma.f64 (*.f64 x x) -11/15120 -23/360) (*.f64 1/6 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x (fma.f64 x -23/360 (*.f64 -11/15120 (pow.f64 x 3))) 1/6)))
(*.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))))
(fma.f64 x (fma.f64 1/6 x (*.f64 -23/360 (pow.f64 x 3))) (*.f64 -11/15120 (pow.f64 x 6)))
(fma.f64 (pow.f64 x 4) (fma.f64 (*.f64 x x) -11/15120 -23/360) (*.f64 1/6 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x (fma.f64 x -23/360 (*.f64 -11/15120 (pow.f64 x 3))) 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 x (fma.f64 1/6 x (*.f64 -23/360 (pow.f64 x 3))) (*.f64 -11/15120 (pow.f64 x 6)))
(fma.f64 (pow.f64 x 4) (fma.f64 (*.f64 x x) -11/15120 -23/360) (*.f64 1/6 (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x (fma.f64 x -23/360 (*.f64 -11/15120 (pow.f64 x 3))) 1/6)))
(*.f64 -23/360 (pow.f64 x 2))
(*.f64 (*.f64 x x) -23/360)
(*.f64 x (*.f64 x -23/360))
(*.f64 -23/360 (pow.f64 x 2))
(*.f64 (*.f64 x x) -23/360)
(*.f64 x (*.f64 x -23/360))
(*.f64 -23/360 (pow.f64 x 2))
(*.f64 (*.f64 x x) -23/360)
(*.f64 x (*.f64 x -23/360))
(*.f64 -23/360 (pow.f64 x 2))
(*.f64 (*.f64 x x) -23/360)
(*.f64 x (*.f64 x -23/360))
(*.f64 -23/360 (pow.f64 x 2))
(*.f64 (*.f64 x x) -23/360)
(*.f64 x (*.f64 x -23/360))
(*.f64 -23/360 (pow.f64 x 2))
(*.f64 (*.f64 x x) -23/360)
(*.f64 x (*.f64 x -23/360))
(*.f64 -23/360 (pow.f64 x 2))
(*.f64 (*.f64 x x) -23/360)
(*.f64 x (*.f64 x -23/360))
(*.f64 -23/360 (pow.f64 x 2))
(*.f64 (*.f64 x x) -23/360)
(*.f64 x (*.f64 x -23/360))
(*.f64 -23/360 (pow.f64 x 2))
(*.f64 (*.f64 x x) -23/360)
(*.f64 x (*.f64 x -23/360))
(*.f64 -23/360 (pow.f64 x 2))
(*.f64 (*.f64 x x) -23/360)
(*.f64 x (*.f64 x -23/360))
(*.f64 -23/360 (pow.f64 x 2))
(*.f64 (*.f64 x x) -23/360)
(*.f64 x (*.f64 x -23/360))
(*.f64 -23/360 (pow.f64 x 2))
(*.f64 (*.f64 x x) -23/360)
(*.f64 x (*.f64 x -23/360))

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (log.f64 (exp.f64 (-.f64 x (sin.f64 x)))) (tan.f64 x))
✓2.9b
(log.f64 (exp.f64 (-.f64 x (sin.f64 x))))
3.7b
(-.f64 x (sin.f64 x))
Compiler

Compiled 30 to 7 computations (76.7% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite82.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

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

simplify76.0ms (0.4%)

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
98 → 95
Calls
Call 1
Inputs
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/120 (pow.f64 x 5)))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5))))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/362880 (pow.f64 x 9)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5)))))
x
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 (*.f64 -1 (sin.f64 x)) x)
x
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
Outputs
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/120 (pow.f64 x 5)))
(fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5)))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5))))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5))))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/5040 (pow.f64 x 7))))
(fma.f64 -1/120 (pow.f64 x 5) (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/5040 (pow.f64 x 7))))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/362880 (pow.f64 x 9)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5)))))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/120 (pow.f64 x 5)))))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/5040 (pow.f64 x 7)))))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/120 (pow.f64 x 5) (fma.f64 1/5040 (pow.f64 x 7) (*.f64 -1/362880 (pow.f64 x 9)))))
(fma.f64 1/5040 (pow.f64 x 7) (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/362880 (pow.f64 x 9) (*.f64 -1/120 (pow.f64 x 5)))))
x
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(fma.f64 -1 (sin.f64 x) x)
(-.f64 x (sin.f64 x))
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(fma.f64 -1 (sin.f64 x) x)
(-.f64 x (sin.f64 x))
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(fma.f64 -1 (sin.f64 x) x)
(-.f64 x (sin.f64 x))
x
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(fma.f64 -1 (sin.f64 x) x)
(-.f64 x (sin.f64 x))
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(fma.f64 -1 (sin.f64 x) x)
(-.f64 x (sin.f64 x))
(+.f64 (*.f64 -1 (sin.f64 x)) x)
(fma.f64 -1 (sin.f64 x) x)
(-.f64 x (sin.f64 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -11/15120 (pow.f64 x 6)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -143/604800 (pow.f64 x 8)))))
(fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -143/604800 (pow.f64 x 8))))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x)
(*.f64 x (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 (cos.f64 x) (/.f64 x (sin.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x)) (neg.f64 (cos.f64 x)))
(-.f64 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x) (cos.f64 x))
(-.f64 (*.f64 x (/.f64 (cos.f64 x) (sin.f64 x))) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x)) (neg.f64 (cos.f64 x)))
(-.f64 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x) (cos.f64 x))
(-.f64 (*.f64 x (/.f64 (cos.f64 x) (sin.f64 x))) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x)) (neg.f64 (cos.f64 x)))
(-.f64 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x) (cos.f64 x))
(-.f64 (*.f64 x (/.f64 (cos.f64 x) (sin.f64 x))) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x)
(*.f64 x (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 (cos.f64 x) (/.f64 x (sin.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x)) (neg.f64 (cos.f64 x)))
(-.f64 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x) (cos.f64 x))
(-.f64 (*.f64 x (/.f64 (cos.f64 x) (sin.f64 x))) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x)) (neg.f64 (cos.f64 x)))
(-.f64 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x) (cos.f64 x))
(-.f64 (*.f64 x (/.f64 (cos.f64 x) (sin.f64 x))) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x)) (neg.f64 (cos.f64 x)))
(-.f64 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) x) (cos.f64 x))
(-.f64 (*.f64 x (/.f64 (cos.f64 x) (sin.f64 x))) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))

eval310.0ms (1.5%)

Compiler

Compiled 10431 to 6543 computations (37.3% saved)

prune94.0ms (0.4%)

Pruning

18 alts after pruning (14 fresh and 4 done)

PrunedKeptTotal
New5759584
Fresh7512
Picked011
Done336
Total58518603
Error
0.0b
Counts
603 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
25.9b
(/.f64 (sqrt.f64 (*.f64 (pow.f64 x 6) 1/36)) (tan.f64 x))
0.5b
(*.f64 (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x (*.f64 x -23/360) 1/6))) (sqrt.f64 (fma.f64 x (*.f64 x -23/360) 1/6)))
0.5b
(*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x -23/360)) 1/6))
✓31.5b
(/.f64 (log.f64 (exp.f64 (-.f64 x (sin.f64 x)))) (tan.f64 x))
▶3.7b
(exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))
▶0.3b
(+.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6))) (*.f64 -11/15120 (pow.f64 x 6)))
16.8b
(*.f64 x (sqrt.f64 (*.f64 (*.f64 x x) 1/36)))
1.0b
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
▶31.5b
(-.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x -23/360)) 1/6))) 1)
▶0.3b
(*.f64 x (*.f64 x (fma.f64 x (fma.f64 x -23/360 (*.f64 -11/15120 (pow.f64 x 3))) 1/6)))
▶30.7b
(*.f64 x (-.f64 (+.f64 1 (*.f64 1/6 x)) 1))
0.7b
(*.f64 (*.f64 x x) (exp.f64 (log.f64 (fma.f64 (*.f64 x x) -23/360 1/6))))
✓0.9b
(*.f64 x (*.f64 1/6 x))
✓0.9b
(*.f64 1/6 (*.f64 x x))
31.7b
(-.f64 (+.f64 1 (*.f64 (*.f64 x x) 1/6)) 1)
0.3b
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) (+.f64 (*.f64 (pow.f64 x 4) -11/15120) 1/6))))
✓31.4b
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
1.5b
(pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)
Compiler

Compiled 378 to 272 computations (28% saved)

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 -11/15120 (pow.f64 x 3))
✓0.1b
(*.f64 x (*.f64 x (fma.f64 x (fma.f64 x -23/360 (*.f64 -11/15120 (pow.f64 x 3))) 1/6)))
✓0.3b
(*.f64 x (fma.f64 x (fma.f64 x -23/360 (*.f64 -11/15120 (pow.f64 x 3))) 1/6))
✓0.5b
(fma.f64 x -23/360 (*.f64 -11/15120 (pow.f64 x 3)))
Compiler

Compiled 61 to 44 computations (27.9% saved)

series5.0ms (0%)

Counts
4 → 36
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@0
(fma.f64 x -23/360 (*.f64 -11/15120 (pow.f64 x 3)))
1.0ms
x
@-inf
(fma.f64 x -23/360 (*.f64 -11/15120 (pow.f64 x 3)))
1.0ms
x
@inf
(fma.f64 x -23/360 (*.f64 -11/15120 (pow.f64 x 3)))
0.0ms
x
@-inf
(*.f64 x (fma.f64 x (fma.f64 x -23/360 (*.f64 -11/15120 (pow.f64 x 3))) 1/6))
0.0ms
x
@inf
(*.f64 x (fma.f64 x (fma.f64 x -23/360 (*.f64 -11/15120 (pow.f64 x 3))) 1/6))

rewrite83.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
519×log-prod_binary64
396×prod-exp_binary64
393×exp-prod_binary64
345×pow-prod-down_binary64
290×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01257
125457
2277457
Stop Event
1×node limit
Counts
4 → 131
Calls
Call 1
Inputs
(fma.f64 x -23/360 (*.f64 -11/15120 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (fma.f64 x -23/360 (*.f64 -11/15120 (pow.f64 x 3))) 1/6))
(*.f64 x (*.f64 x (fma.f64 x (fma.f64 x -23/360 (*.f64 -11/15120 (pow.f64 x 3))) 1/6)))
(*.f64 -11/15120 (pow.f64 x 3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -11/15120 (pow.f64 x 3)) (*.f64 x -23/360))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x -23/360) (*.f64 -11/15120 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 -11/15120 (pow.f64 x 3) (*.f64 x -23/360)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x -23/360) 1) (*.f64 -11/15120 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 -11/15120 (pow.f64 x 3) (*.f64 x -23/360)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -11/15120 (pow.f64 x 3) (*.f64 x -23/360))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -11/15120 (pow.f64 x 3) (*.f64 x -23/360))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -11/15120 (pow.f64 x 3) (*.f64 x -23/360))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -11/15120 (pow.f64 x 3) (*.f64 x -23/360)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -11/15120 (pow.f64 x 3) (*.f64 x -23/360)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -11/15120 (pow.f64 x 3) (*.f64 x -23/360)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -11/15120 (pow.f64 x 3) (*.f64 x -23/360))) (pow.f64 (cbrt.f64 (fma.f64 -11/15120 (pow.f64 x 3) (*.f64 x -23/360))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -11/15120 (pow.f64 x 3) (*.f64 x -23/360))) 2) (cbrt.f64 (fma.f64 -11/15120 (pow.f64 x 3) (*.f64 x -23/360))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -11/15120 (pow.f64 x 3) (*.f64 x -23/360))) (sqrt.f64 (fma.f64 -11/15120 (pow.f64 x 3) (*.f64 x -23/360))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x -23/360) 3) (pow.f64 (*.f64 x (cbrt.f64 -11/15120)) 9)) (+.f64 (pow.f64 (*.f64 x -23/360) 2) (-.f64 (*.f64 (pow.f64 x 6) 121/228614400) (*.f64 (*.f64 x -23/360) (*.f64 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(#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -11/15120 (pow.f64 x 3) (*.f64 x -23/360)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -11/15120 (pow.f64 x 3) (*.f64 x -23/360))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -11/15120 (pow.f64 x 3) (*.f64 x -23/360))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -11/15120 (pow.f64 x 3) (*.f64 x -23/360))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -11/15120 (pow.f64 x 3) (*.f64 x -23/360))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 -11/15120 (pow.f64 x 3) (*.f64 x -23/360)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 -11/15120 (pow.f64 x 3) (*.f64 x -23/360)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 -11/15120 (pow.f64 x 3) (*.f64 x -23/360)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 -11/15120 (pow.f64 x 3) (*.f64 x -23/360))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (fma.f64 x (fma.f64 -11/15120 (pow.f64 x 3) (*.f64 x -23/360)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (fma.f64 -11/15120 (pow.f64 x 3) (*.f64 x -23/360))) x) (*.f64 1/6 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x (fma.f64 -11/15120 (pow.f64 x 3) (*.f64 x -23/360)))) (*.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (fma.f64 -11/15120 (pow.f64 x 3) (*.f64 x -23/360)) 1/6))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (fma.f64 -11/15120 (pow.f64 x 3) (*.f64 x -23/360)) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (fma.f64 -11/15120 (pow.f64 x 3) (*.f64 x -23/360)) 1/6)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x (fma.f64 -11/15120 (pow.f64 x 3) (*.f64 x -23/360)) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 -11/15120 (pow.f64 x 3) (*.f64 x -23/360)) 1/6)))) 2)) (cbrt.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 -11/15120 (pow.f64 x 3) (*.f64 x -23/360)) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 -11/15120 (pow.f64 x 3) (*.f64 x -23/360)) 1/6))))) (sqrt.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 -11/15120 (pow.f64 x 3) (*.f64 x -23/360)) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 -11/15120 (pow.f64 x 3) (*.f64 x -23/360)) 1/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 x (fma.f64 -11/15120 (pow.f64 x 3) (*.f64 x -23/360)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 -11/15120 (pow.f64 x 3) (*.f64 x -23/360)) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 -11/15120 (pow.f64 x 3) (*.f64 x -23/360)) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 -11/15120 (pow.f64 x 3) (*.f64 x -23/360)) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 -11/15120 (pow.f64 x 3) (*.f64 x -23/360)) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 -11/15120 (pow.f64 x 3) (*.f64 x -23/360)) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 -11/15120 (pow.f64 x 3) (*.f64 x -23/360)) 1/6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 -11/15120 (pow.f64 x 3) (*.f64 x -23/360)) 1/6)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (fma.f64 x (fma.f64 -11/15120 (pow.f64 x 3) (*.f64 x -23/360)) 1/6)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (fma.f64 x (fma.f64 -11/15120 (pow.f64 x 3) (*.f64 x -23/360)) 1/6)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 -11/15120 (pow.f64 x 3) (*.f64 x -23/360)) 1/6))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (fma.f64 x (fma.f64 -11/15120 (pow.f64 x 3) (*.f64 x -23/360)) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (fma.f64 x (fma.f64 -11/15120 (pow.f64 x 3) (*.f64 x -23/360)) 1/6)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (*.f64 (log.f64 (fma.f64 x (fma.f64 -11/15120 (pow.f64 x 3) (*.f64 x -23/360)) 1/6)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x (fma.f64 -11/15120 (pow.f64 x 3) (*.f64 x -23/360)) 1/6)) 1) (log.f64 x)))))) (#(struct:change #<rule 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -11/15120 (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)) -11/15120)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -11/15120))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -11/15120))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -11/15120))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -11/15120 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -11/15120 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 6) 121/228614400) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (cbrt.f64 -11/15120)) 9) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 -11/15120)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 -11/15120) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 -11/15120 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 -11/15120 (pow.f64 x 3)))) 2)) (cbrt.f64 (log.f64 (*.f64 -11/15120 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 -11/15120 (pow.f64 x 3))))) (sqrt.f64 (log.f64 (*.f64 -11/15120 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 121/228614400))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -11/15120))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -11/15120 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (cbrt.f64 -11/15120)) 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -11/15120 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -11/15120 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -11/15120 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -11/15120 (pow.f64 x 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (cbrt.f64 -11/15120)) 9)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (cbrt.f64 -11/15120))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 -11/15120) (pow.f64 x 3/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 -11/15120 (pow.f64 x 3))) 1) 1))))))

simplify131.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
798×fma-def_binary64
731×distribute-lft-out_binary64
492×unswap-sqr_binary64
427×distribute-rgt-out_binary64
426×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030471
176471
2173471
3467471
41997471
54894471
65963471
76444471
86803471
97306471
107977471
Stop Event
1×node limit
Counts
167 → 153
Calls
Call 1
Inputs
(*.f64 -23/360 x)
(+.f64 (*.f64 -11/15120 (pow.f64 x 3)) (*.f64 -23/360 x))
(+.f64 (*.f64 -11/15120 (pow.f64 x 3)) (*.f64 -23/360 x))
(+.f64 (*.f64 -11/15120 (pow.f64 x 3)) (*.f64 -23/360 x))
(*.f64 -11/15120 (pow.f64 x 3))
(+.f64 (*.f64 -11/15120 (pow.f64 x 3)) (*.f64 -23/360 x))
(+.f64 (*.f64 -11/15120 (pow.f64 x 3)) (*.f64 -23/360 x))
(+.f64 (*.f64 -11/15120 (pow.f64 x 3)) (*.f64 -23/360 x))
(*.f64 -11/15120 (pow.f64 x 3))
(+.f64 (*.f64 -11/15120 (pow.f64 x 3)) (*.f64 -23/360 x))
(+.f64 (*.f64 -11/15120 (pow.f64 x 3)) (*.f64 -23/360 x))
(+.f64 (*.f64 -11/15120 (pow.f64 x 3)) (*.f64 -23/360 x))
(*.f64 1/6 x)
(+.f64 (*.f64 1/6 x) (*.f64 -23/360 (pow.f64 x 3)))
(+.f64 (*.f64 1/6 x) (+.f64 (*.f64 -11/15120 (pow.f64 x 5)) (*.f64 -23/360 (pow.f64 x 3))))
(+.f64 (*.f64 1/6 x) (+.f64 (*.f64 -11/15120 (pow.f64 x 5)) (*.f64 -23/360 (pow.f64 x 3))))
(*.f64 -11/15120 (pow.f64 x 5))
(+.f64 (*.f64 -11/15120 (pow.f64 x 5)) (*.f64 -23/360 (pow.f64 x 3)))
(+.f64 (*.f64 1/6 x) (+.f64 (*.f64 -11/15120 (pow.f64 x 5)) (*.f64 -23/360 (pow.f64 x 3))))
(+.f64 (*.f64 1/6 x) (+.f64 (*.f64 -11/15120 (pow.f64 x 5)) (*.f64 -23/360 (pow.f64 x 3))))
(*.f64 -11/15120 (pow.f64 x 5))
(+.f64 (*.f64 -11/15120 (pow.f64 x 5)) (*.f64 -23/360 (pow.f64 x 3)))
(+.f64 (*.f64 1/6 x) (+.f64 (*.f64 -11/15120 (pow.f64 x 5)) (*.f64 -23/360 (pow.f64 x 3))))
(+.f64 (*.f64 1/6 x) (+.f64 (*.f64 -11/15120 (pow.f64 x 5)) (*.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 (*.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 -23/360 x)
(+.f64 (*.f64 -11/15120 (pow.f64 x 3)) (*.f64 -23/360 x))
(fma.f64 -11/15120 (pow.f64 x 3) (*.f64 -23/360 x))
(fma.f64 -23/360 x (*.f64 -11/15120 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (*.f64 x -11/15120) -23/360))
(+.f64 (*.f64 -11/15120 (pow.f64 x 3)) (*.f64 -23/360 x))
(fma.f64 -11/15120 (pow.f64 x 3) (*.f64 -23/360 x))
(fma.f64 -23/360 x (*.f64 -11/15120 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (*.f64 x -11/15120) -23/360))
(+.f64 (*.f64 -11/15120 (pow.f64 x 3)) (*.f64 -23/360 x))
(fma.f64 -11/15120 (pow.f64 x 3) (*.f64 -23/360 x))
(fma.f64 -23/360 x (*.f64 -11/15120 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (*.f64 x -11/15120) -23/360))
(*.f64 -11/15120 (pow.f64 x 3))
(+.f64 (*.f64 -11/15120 (pow.f64 x 3)) (*.f64 -23/360 x))
(fma.f64 -11/15120 (pow.f64 x 3) (*.f64 -23/360 x))
(fma.f64 -23/360 x (*.f64 -11/15120 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (*.f64 x -11/15120) -23/360))
(+.f64 (*.f64 -11/15120 (pow.f64 x 3)) (*.f64 -23/360 x))
(fma.f64 -11/15120 (pow.f64 x 3) (*.f64 -23/360 x))
(fma.f64 -23/360 x (*.f64 -11/15120 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (*.f64 x -11/15120) -23/360))
(+.f64 (*.f64 -11/15120 (pow.f64 x 3)) (*.f64 -23/360 x))
(fma.f64 -11/15120 (pow.f64 x 3) (*.f64 -23/360 x))
(fma.f64 -23/360 x (*.f64 -11/15120 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (*.f64 x -11/15120) -23/360))
(*.f64 -11/15120 (pow.f64 x 3))
(+.f64 (*.f64 -11/15120 (pow.f64 x 3)) (*.f64 -23/360 x))
(fma.f64 -11/15120 (pow.f64 x 3) (*.f64 -23/360 x))
(fma.f64 -23/360 x (*.f64 -11/15120 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (*.f64 x -11/15120) -23/360))
(+.f64 (*.f64 -11/15120 (pow.f64 x 3)) (*.f64 -23/360 x))
(fma.f64 -11/15120 (pow.f64 x 3) (*.f64 -23/360 x))
(fma.f64 -23/360 x (*.f64 -11/15120 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (*.f64 x -11/15120) -23/360))
(+.f64 (*.f64 -11/15120 (pow.f64 x 3)) (*.f64 -23/360 x))
(fma.f64 -11/15120 (pow.f64 x 3) (*.f64 -23/360 x))
(fma.f64 -23/360 x (*.f64 -11/15120 (pow.f64 x 3)))
(*.f64 x (fma.f64 x (*.f64 x -11/15120) -23/360))
(*.f64 1/6 x)
(*.f64 x 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)))
(fma.f64 -23/360 (pow.f64 x 3) (*.f64 x 1/6))
(*.f64 x (fma.f64 x (*.f64 -23/360 x) 1/6))
(*.f64 x (fma.f64 -23/360 (*.f64 x x) 1/6))
(+.f64 (*.f64 1/6 x) (+.f64 (*.f64 -11/15120 (pow.f64 x 5)) (*.f64 -23/360 (pow.f64 x 3))))
(fma.f64 1/6 x (fma.f64 -11/15120 (pow.f64 x 5) (*.f64 -23/360 (pow.f64 x 3))))
(fma.f64 x 1/6 (fma.f64 -23/360 (pow.f64 x 3) (*.f64 -11/15120 (pow.f64 x 5))))
(fma.f64 -23/360 (pow.f64 x 3) (fma.f64 x 1/6 (*.f64 -11/15120 (pow.f64 x 5))))
(fma.f64 -23/360 (pow.f64 x 3) (fma.f64 -11/15120 (pow.f64 x 5) (*.f64 x 1/6)))
(fma.f64 -23/360 (pow.f64 x 3) (*.f64 x (fma.f64 -11/15120 (pow.f64 x 4) 1/6)))
(+.f64 (*.f64 1/6 x) (+.f64 (*.f64 -11/15120 (pow.f64 x 5)) (*.f64 -23/360 (pow.f64 x 3))))
(fma.f64 1/6 x (fma.f64 -11/15120 (pow.f64 x 5) (*.f64 -23/360 (pow.f64 x 3))))
(fma.f64 x 1/6 (fma.f64 -23/360 (pow.f64 x 3) (*.f64 -11/15120 (pow.f64 x 5))))
(fma.f64 -23/360 (pow.f64 x 3) (fma.f64 x 1/6 (*.f64 -11/15120 (pow.f64 x 5))))
(fma.f64 -23/360 (pow.f64 x 3) (fma.f64 -11/15120 (pow.f64 x 5) (*.f64 x 1/6)))
(fma.f64 -23/360 (pow.f64 x 3) (*.f64 x (fma.f64 -11/15120 (pow.f64 x 4) 1/6)))
(*.f64 -11/15120 (pow.f64 x 5))
(+.f64 (*.f64 -11/15120 (pow.f64 x 5)) (*.f64 -23/360 (pow.f64 x 3)))
(fma.f64 -11/15120 (pow.f64 x 5) (*.f64 -23/360 (pow.f64 x 3)))
(fma.f64 -23/360 (pow.f64 x 3) (*.f64 -11/15120 (pow.f64 x 5)))
(*.f64 (pow.f64 x 3) (fma.f64 x (*.f64 x -11/15120) -23/360))
(+.f64 (*.f64 1/6 x) (+.f64 (*.f64 -11/15120 (pow.f64 x 5)) (*.f64 -23/360 (pow.f64 x 3))))
(fma.f64 1/6 x (fma.f64 -11/15120 (pow.f64 x 5) (*.f64 -23/360 (pow.f64 x 3))))
(fma.f64 x 1/6 (fma.f64 -23/360 (pow.f64 x 3) (*.f64 -11/15120 (pow.f64 x 5))))
(fma.f64 -23/360 (pow.f64 x 3) (fma.f64 x 1/6 (*.f64 -11/15120 (pow.f64 x 5))))
(fma.f64 -23/360 (pow.f64 x 3) (fma.f64 -11/15120 (pow.f64 x 5) (*.f64 x 1/6)))
(fma.f64 -23/360 (pow.f64 x 3) (*.f64 x (fma.f64 -11/15120 (pow.f64 x 4) 1/6)))
(+.f64 (*.f64 1/6 x) (+.f64 (*.f64 -11/15120 (pow.f64 x 5)) (*.f64 -23/360 (pow.f64 x 3))))
(fma.f64 1/6 x (fma.f64 -11/15120 (pow.f64 x 5) (*.f64 -23/360 (pow.f64 x 3))))
(fma.f64 x 1/6 (fma.f64 -23/360 (pow.f64 x 3) (*.f64 -11/15120 (pow.f64 x 5))))
(fma.f64 -23/360 (pow.f64 x 3) (fma.f64 x 1/6 (*.f64 -11/15120 (pow.f64 x 5))))
(fma.f64 -23/360 (pow.f64 x 3) (fma.f64 -11/15120 (pow.f64 x 5) (*.f64 x 1/6)))
(fma.f64 -23/360 (pow.f64 x 3) (*.f64 x (fma.f64 -11/15120 (pow.f64 x 4) 1/6)))
(*.f64 -11/15120 (pow.f64 x 5))
(+.f64 (*.f64 -11/15120 (pow.f64 x 5)) (*.f64 -23/360 (pow.f64 x 3)))
(fma.f64 -11/15120 (pow.f64 x 5) (*.f64 -23/360 (pow.f64 x 3)))
(fma.f64 -23/360 (pow.f64 x 3) (*.f64 -11/15120 (pow.f64 x 5)))
(*.f64 (pow.f64 x 3) (fma.f64 x (*.f64 x -11/15120) -23/360))
(+.f64 (*.f64 1/6 x) (+.f64 (*.f64 -11/15120 (pow.f64 x 5)) (*.f64 -23/360 (pow.f64 x 3))))
(fma.f64 1/6 x (fma.f64 -11/15120 (pow.f64 x 5) (*.f64 -23/360 (pow.f64 x 3))))
(fma.f64 x 1/6 (fma.f64 -23/360 (pow.f64 x 3) (*.f64 -11/15120 (pow.f64 x 5))))
(fma.f64 -23/360 (pow.f64 x 3) (fma.f64 x 1/6 (*.f64 -11/15120 (pow.f64 x 5))))
(fma.f64 -23/360 (pow.f64 x 3) (fma.f64 -11/15120 (pow.f64 x 5) (*.f64 x 1/6)))
(fma.f64 -23/360 (pow.f64 x 3) (*.f64 x (fma.f64 -11/15120 (pow.f64 x 4) 1/6)))
(+.f64 (*.f64 1/6 x) (+.f64 (*.f64 -11/15120 (pow.f64 x 5)) (*.f64 -23/360 (pow.f64 x 3))))
(fma.f64 1/6 x (fma.f64 -11/15120 (pow.f64 x 5) (*.f64 -23/360 (pow.f64 x 3))))
(fma.f64 x 1/6 (fma.f64 -23/360 (pow.f64 x 3) (*.f64 -11/15120 (pow.f64 x 5))))
(fma.f64 -23/360 (pow.f64 x 3) (fma.f64 x 1/6 (*.f64 -11/15120 (pow.f64 x 5))))
(fma.f64 -23/360 (pow.f64 x 3) (fma.f64 -11/15120 (pow.f64 x 5) (*.f64 x 1/6)))
(fma.f64 -23/360 (pow.f64 x 3) (*.f64 x (fma.f64 -11/15120 (pow.f64 x 4) 1/6)))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 x 1/6))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 x (*.f64 x 1/6)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 -23/360 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 1/6 (*.f64 x x) (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 -23/360 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) (*.f64 -11/15120 (pow.f64 x 6))))
(*.f64 x (fma.f64 -23/360 (pow.f64 x 3) (*.f64 x (fma.f64 -11/15120 (pow.f64 x 4) 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 -23/360 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/6) (*.f64 -11/15120 (pow.f64 x 6))))
(fma.f64 -23/360 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) (*.f64 -11/15120 (pow.f64 x 6))))
(*.f64 x (fma.f64 -23/360 (pow.f64 x 3) (*.f64 x (fma.f64 -11/15120 (pow.f64 x 4) 1/6))))
(*.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 x (*.f64 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))))
(fma.f64 -23/360 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/6) (*.f64 -11/15120 (pow.f64 x 6))))
(fma.f64 -23/360 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) (*.f64 -11/15120 (pow.f64 x 6))))
(*.f64 x (fma.f64 -23/360 (pow.f64 x 3) (*.f64 x (fma.f64 -11/15120 (pow.f64 x 4) 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 -23/360 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/6) (*.f64 -11/15120 (pow.f64 x 6))))
(fma.f64 -23/360 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) (*.f64 -11/15120 (pow.f64 x 6))))
(*.f64 x (fma.f64 -23/360 (pow.f64 x 3) (*.f64 x (fma.f64 -11/15120 (pow.f64 x 4) 1/6))))
(*.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 x (*.f64 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))))
(fma.f64 -23/360 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/6) (*.f64 -11/15120 (pow.f64 x 6))))
(fma.f64 -23/360 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) (*.f64 -11/15120 (pow.f64 x 6))))
(*.f64 x (fma.f64 -23/360 (pow.f64 x 3) (*.f64 x (fma.f64 -11/15120 (pow.f64 x 4) 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 -23/360 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/6) (*.f64 -11/15120 (pow.f64 x 6))))
(fma.f64 -23/360 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) (*.f64 -11/15120 (pow.f64 x 6))))
(*.f64 x (fma.f64 -23/360 (pow.f64 x 3) (*.f64 x (fma.f64 -11/15120 (pow.f64 x 4) 1/6))))

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 x (-.f64 (+.f64 1 (*.f64 1/6 x)) 1))
0.3b
(*.f64 1/6 x)
✓4.5b
(-.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))

rewrite66.0ms (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))))))))

simplify175.0ms (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))

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 x (*.f64 x -23/360))
✓0.2b
(*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x -23/360)) 1/6))
0.5b
(*.f64 x -23/360)
✓3.7b
(-.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x -23/360)) 1/6))) 1)
Compiler

Compiled 62 to 39 computations (37.1% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite89.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
697×fma-def_binary64
586×log-prod_binary64
331×fma-neg_binary64
315×pow2_binary64
215×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01240
127728
2386328
Stop Event
1×node limit
Counts
2 → 239
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x -23/360)) 1/6))) 1)
(*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x -23/360)) 1/6))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (*.f64 x 1/6) (*.f64 (pow.f64 x 4) -23/360)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x (*.f64 x 1/6) (*.f64 (pow.f64 x 4) -23/360)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 4) -23/360) (*.f64 x (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 1/6)) (*.f64 (pow.f64 x 4) -23/360))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 x 4) -23/360) 1) (*.f64 (*.f64 x (*.f64 x 1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) (fma.f64 (*.f64 x x) -23/360 1/6))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) (fma.f64 (*.f64 x x) -23/360 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) (fma.f64 (*.f64 x x) -23/360 1/6)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) (fma.f64 (*.f64 x x) -23/360 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (*.f64 x 1/6) (*.f64 (pow.f64 x 4) -23/360)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (*.f64 x 1/6) (*.f64 (pow.f64 x 4) -23/360)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) -23/360 1/6) 2)) (*.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -23/360 1/6)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/6) (*.f64 (pow.f64 x 4) -23/360))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/6) (*.f64 (pow.f64 x 4) -23/360))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/6) (*.f64 (pow.f64 x 4) -23/360))) 2) (cbrt.f64 (fma.f64 x (*.f64 x 1/6) (*.f64 (pow.f64 x 4) -23/360))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 (*.f64 x x) -23/360 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 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1/6)) (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (fma.f64 (*.f64 x x) -23/360 1/6))) (*.f64 x (sqrt.f64 (fma.f64 (*.f64 x x) -23/360 1/6))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 -23/360)) (*.f64 (*.f64 x (sqrt.f64 -23/360)) (*.f64 x x)) (*.f64 x (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) 1) 2) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/6) (*.f64 (pow.f64 x 4) -23/360)) 3)) (/.f64 1 (fma.f64 (fma.f64 x (*.f64 x 1/6) (*.f64 (pow.f64 x 4) -23/360)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) 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x x) -23/360 1/6)) 1) (fma.f64 x (sqrt.f64 (fma.f64 (*.f64 x x) -23/360 1/6)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (*.f64 x (sqrt.f64 -23/360))) (*.f64 x (*.f64 x (sqrt.f64 -23/360))) (*.f64 x (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x (sqrt.f64 -23/360)) x) (*.f64 (*.f64 x (sqrt.f64 -23/360)) x) (*.f64 x (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x (*.f64 x -23/360)) x) x (*.f64 x (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/6 x) x (*.f64 (pow.f64 x 4) -23/360))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x x) (*.f64 x -23/360)) x (*.f64 x (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x x) (cbrt.f64 (*.f64 (pow.f64 x 4) 529/129600))) (cbrt.f64 (*.f64 x (*.f64 x -23/360))) (*.f64 x (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x x) (*.f64 x (sqrt.f64 -23/360))) (*.f64 x (sqrt.f64 -23/360)) (*.f64 x (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x (*.f64 x -23/360)) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (*.f64 x (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/6 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (*.f64 (pow.f64 x 4) -23/360))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x x) (cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) -23/360 1/6) 2))) (cbrt.f64 (fma.f64 (*.f64 x x) -23/360 1/6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 (*.f64 x x) -23/360 1/6))) (sqrt.f64 (fma.f64 (*.f64 x x) -23/360 1/6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (fma.f64 (*.f64 x x) -23/360 1/6) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) 0)))))

simplify227.0ms (1.1%)

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
011294
122294
245294
3114294
4355294
51427294
62658294
73120294
83289294
93488294
103761294
114118294
124568294
135099294
145729294
156484294
166794294
177018294
187216294
197270294
207292294
Stop Event
1×node limit
Counts
263 → 136
Calls
Call 1
Inputs
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(*.f64 -23/360 (pow.f64 x 4))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(*.f64 -23/360 (pow.f64 x 4))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -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))))
(*.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 3 expressions with local error:

NewErrorProgram
0.2b
(*.f64 1/6 (*.f64 x x))
✓3.0b
(exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))
✓28.6b
(log.f64 (*.f64 1/6 (*.f64 x x)))
Compiler

Compiled 24 to 12 computations (50% saved)

series37.0ms (0.2%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
26.0ms
x
@0
(log.f64 (*.f64 1/6 (*.f64 x x)))
9.0ms
x
@inf
(log.f64 (*.f64 1/6 (*.f64 x x)))
0.0ms
x
@-inf
(log.f64 (*.f64 1/6 (*.f64 x x)))
0.0ms
x
@0
(exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))
0.0ms
x
@inf
(exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))

rewrite49.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
518×pow1_binary64
502×add-sqr-sqrt_binary64
481×add-log-exp_binary64
481×log1p-expm1-u_binary64
481×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0716
112716
2135816
Stop Event
1×node limit
Counts
2 → 52
Calls
Call 1
Inputs
(log.f64 (*.f64 1/6 (*.f64 x x)))
(exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 1/6) (*.f64 (log.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 x) 2) (log.f64 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 x (sqrt.f64 1/6))) (log.f64 (*.f64 x (sqrt.f64 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 1/6 x)) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 x 4)))) (log.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 1/6) 1) (*.f64 (log.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (*.f64 1/6 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (*.f64 1/6 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (*.f64 1/6 (*.f64 x x)))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/6 (*.f64 x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/6 (*.f64 x x)))) 2) (cbrt.f64 (log.f64 (*.f64 1/6 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (*.f64 1/6 (*.f64 x x)))) (sqrt.f64 (log.f64 (*.f64 1/6 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 1/6) 3) (pow.f64 (*.f64 (log.f64 x) 2) 3)) (+.f64 (*.f64 (log.f64 1/6) (log.f64 1/6)) (-.f64 (*.f64 (*.f64 (log.f64 x) 2) (*.f64 (log.f64 x) 2)) (*.f64 (log.f64 1/6) (*.f64 (log.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log.f64 1/6) (log.f64 1/6)) (*.f64 (*.f64 (log.f64 x) 2) (*.f64 (log.f64 x) 2))) (-.f64 (log.f64 1/6) (*.f64 (log.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (*.f64 1/6 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (*.f64 1/6 (*.f64 x x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (*.f64 1/6 (*.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (*.f64 1/6 (*.f64 x x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (*.f64 1/6 (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (*.f64 1/6 (*.f64 x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (*.f64 1/6 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (*.f64 1/6 (*.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (*.f64 1/6 (*.f64 x x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 1/6 (*.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 1/6 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/6 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))) (cbrt.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 1/6)) (*.f64 x (sqrt.f64 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/6 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/6 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 1/6 x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 1/6 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 1/6 x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x 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 pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))) (sqrt.f64 (log.f64 (*.f64 1/6 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/6 (*.f64 x x)))) 2)) (cbrt.f64 (log.f64 (*.f64 1/6 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/6 (*.f64 x x))))))))

simplify63.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
631×sub-neg_binary64
619×fma-neg_binary64
465×associate-*l*_binary64
434×unswap-sqr_binary64
367×associate--r+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021204
142204
261204
3111204
4260204
5766204
62834204
77229204
Stop Event
1×node limit
Counts
76 → 59
Calls
Call 1
Inputs
(+.f64 (*.f64 2 (log.f64 x)) (log.f64 1/6))
(+.f64 (*.f64 2 (log.f64 x)) (log.f64 1/6))
(+.f64 (*.f64 2 (log.f64 x)) (log.f64 1/6))
(+.f64 (*.f64 2 (log.f64 x)) (log.f64 1/6))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (log.f64 1/6))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (log.f64 1/6))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (log.f64 1/6))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (log.f64 1/6))
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 1/6))
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 1/6))
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 1/6))
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 1/6))
(*.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 (*.f64 2 (log.f64 x)) (log.f64 1/6))
(fma.f64 2 (log.f64 x) (log.f64 1/6))
(+.f64 (*.f64 2 (log.f64 x)) (log.f64 1/6))
(fma.f64 2 (log.f64 x) (log.f64 1/6))
(+.f64 (*.f64 2 (log.f64 x)) (log.f64 1/6))
(fma.f64 2 (log.f64 x) (log.f64 1/6))
(+.f64 (*.f64 2 (log.f64 x)) (log.f64 1/6))
(fma.f64 2 (log.f64 x) (log.f64 1/6))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (log.f64 1/6))
(fma.f64 2 (log.f64 x) (log.f64 1/6))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (log.f64 1/6))
(fma.f64 2 (log.f64 x) (log.f64 1/6))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (log.f64 1/6))
(fma.f64 2 (log.f64 x) (log.f64 1/6))
(+.f64 (*.f64 -2 (log.f64 (/.f64 1 x))) (log.f64 1/6))
(fma.f64 2 (log.f64 x) (log.f64 1/6))
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 1/6))
(fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 1/6))
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 1/6))
(fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 1/6))
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 1/6))
(fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 1/6))
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 1/6))
(fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 1/6))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 x 1/6))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 x 1/6))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 x 1/6))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 x 1/6))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 x 1/6))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 x 1/6))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 x 1/6))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 x 1/6))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 x 1/6))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 x 1/6))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 x 1/6))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 x 1/6))

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 (*.f64 x x) -23/360 1/6)
0.0b
(*.f64 -11/15120 (pow.f64 x 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 57 to 34 computations (40.4% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite91.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
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)))))))))

simplify208.0ms (1%)

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)))

eval322.0ms (1.5%)

Compiler

Compiled 9673 to 6695 computations (30.8% saved)

prune210.0ms (1%)

Pruning

18 alts after pruning (11 fresh and 7 done)

PrunedKeptTotal
New5607567
Fresh549
Picked101
Done178
Total56718585
Error
0.0b
Counts
585 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
0.5b
(*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x -23/360)) 1/6))
✓31.5b
(/.f64 (log.f64 (exp.f64 (-.f64 x (sin.f64 x)))) (tan.f64 x))
30.8b
(*.f64 (*.f64 (*.f64 1/6 x) (sqrt.f64 x)) (sqrt.f64 x))
✓0.9b
(*.f64 1/6 (*.f64 x x))
1.5b
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 1/6 x))) 3)
31.7b
(-.f64 (+.f64 1 (*.f64 (*.f64 x x) 1/6)) 1)
✓3.7b
(exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))
0.3b
(+.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 x (*.f64 x -23/360)) 1/6))) (*.f64 -11/15120 (pow.f64 x 6)))
16.8b
(*.f64 x (sqrt.f64 (*.f64 (*.f64 x x) 1/36)))
✓31.5b
(-.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x -23/360)) 1/6))) 1)
1.0b
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
✓30.7b
(*.f64 x (-.f64 (+.f64 1 (*.f64 1/6 x)) 1))
0.7b
(*.f64 (*.f64 x x) (exp.f64 (log.f64 (fma.f64 (*.f64 x x) -23/360 1/6))))
✓0.9b
(*.f64 x (*.f64 1/6 x))
0.3b
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x -11/15120) -23/360)) 1/6)))
✓31.4b
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
0.5b
(*.f64 (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 (*.f64 x x) -23/360 1/6))) (sqrt.f64 (fma.f64 (*.f64 x x) -23/360 1/6)))
0.6b
(+.f64 (*.f64 x (*.f64 x (exp.f64 (log.f64 (fma.f64 (*.f64 x x) -23/360 1/6))))) (*.f64 -11/15120 (pow.f64 x 6)))
Compiler

Compiled 207 to 144 computations (30.4% saved)

regimes102.0ms (0.5%)

Counts
39 → 1
Calls
Call 1
Inputs
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (-.f64 (+.f64 1 (*.f64 1/6 x)) 1))
(-.f64 (+.f64 1 (*.f64 (*.f64 x x) 1/6)) 1)
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)
(*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x -23/360)) 1/6))
(-.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x -23/360)) 1/6))) 1)
(*.f64 x (sqrt.f64 (*.f64 (*.f64 x x) 1/36)))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6)))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6))
(-.f64 (+.f64 1 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6))) 1)
(+.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 x (*.f64 x -23/360)) 1/6))) (*.f64 -11/15120 (pow.f64 x 6)))
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
(exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))
(exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 1/6 x))) 3)
(pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)
(/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))
(*.f64 (*.f64 (*.f64 1/6 x) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x -11/15120) -23/360)) 1/6)))
(+.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6))) (*.f64 -11/15120 (pow.f64 x 6)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) (+.f64 (*.f64 (pow.f64 x 4) -11/15120) 1/6))))
(fma.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x -23/360)) 1/6) (*.f64 -11/15120 (pow.f64 x 6)))
(/.f64 (sqrt.f64 (*.f64 (pow.f64 x 6) 1/36)) (tan.f64 x))
(*.f64 (*.f64 x x) (exp.f64 (log.f64 (fma.f64 (*.f64 x x) -23/360 1/6))))
(/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))
(*.f64 x (*.f64 x (fma.f64 x (fma.f64 x -23/360 (*.f64 -11/15120 (pow.f64 x 3))) 1/6)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) (fma.f64 (pow.f64 x 4) -11/15120 1/6))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -11/15120 (pow.f64 x 6)))
(fma.f64 (*.f64 x 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)))) (*.f64 -11/15120 (pow.f64 x 6)))
(/.f64 (log.f64 (exp.f64 (-.f64 x (sin.f64 x)))) (tan.f64 x))
(+.f64 (*.f64 x (*.f64 x (exp.f64 (log.f64 (fma.f64 (*.f64 x x) -23/360 1/6))))) (*.f64 -11/15120 (pow.f64 x 6)))
(*.f64 (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 (*.f64 x x) -23/360 1/6))) (sqrt.f64 (fma.f64 (*.f64 x x) -23/360 1/6)))
(*.f64 (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x (*.f64 x -23/360) 1/6))) (sqrt.f64 (fma.f64 x (*.f64 x -23/360) 1/6)))
(/.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 (*.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))))
(*.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
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x -11/15120) -23/360)) 1/6)))
Calls

2 calls:

61.0ms
x
6.0ms
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Results
ErrorSegmentsBranch
0.3b1x
0.3b1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Compiler

Compiled 506 to 322 computations (36.4% saved)

regimes34.0ms (0.2%)

Counts
21 → 1
Calls
Call 1
Inputs
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (-.f64 (+.f64 1 (*.f64 1/6 x)) 1))
(-.f64 (+.f64 1 (*.f64 (*.f64 x x) 1/6)) 1)
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)
(*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x -23/360)) 1/6))
(-.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x -23/360)) 1/6))) 1)
(*.f64 x (sqrt.f64 (*.f64 (*.f64 x x) 1/36)))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6)))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6))
(-.f64 (+.f64 1 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6))) 1)
(+.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 x (*.f64 x -23/360)) 1/6))) (*.f64 -11/15120 (pow.f64 x 6)))
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
(exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))
(exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 1/6 x))) 3)
(pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)
(/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))
(*.f64 (*.f64 (*.f64 1/6 x) (sqrt.f64 x)) (sqrt.f64 x))
Outputs
(+.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 x (*.f64 x -23/360)) 1/6))) (*.f64 -11/15120 (pow.f64 x 6)))
Calls

2 calls:

18.0ms
x
5.0ms
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Results
ErrorSegmentsBranch
0.3b1x
0.3b1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Compiler

Compiled 199 to 124 computations (37.7% saved)

regimes16.0ms (0.1%)

Counts
11 → 1
Calls
Call 1
Inputs
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (-.f64 (+.f64 1 (*.f64 1/6 x)) 1))
(-.f64 (+.f64 1 (*.f64 (*.f64 x x) 1/6)) 1)
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)
(*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x -23/360)) 1/6))
(-.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x -23/360)) 1/6))) 1)
(*.f64 x (sqrt.f64 (*.f64 (*.f64 x x) 1/36)))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6)))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6))
(-.f64 (+.f64 1 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6))) 1)
Outputs
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6)))
Calls

1 calls:

10.0ms
x
Results
ErrorSegmentsBranch
0.5b1x
Compiler

Compiled 108 to 64 computations (40.7% saved)

regimes11.0ms (0.1%)

Counts
8 → 1
Calls
Call 1
Inputs
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (-.f64 (+.f64 1 (*.f64 1/6 x)) 1))
(-.f64 (+.f64 1 (*.f64 (*.f64 x x) 1/6)) 1)
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)
(*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x -23/360)) 1/6))
(-.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x -23/360)) 1/6))) 1)
(*.f64 x (sqrt.f64 (*.f64 (*.f64 x x) 1/36)))
Outputs
(*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x -23/360)) 1/6))
Calls

1 calls:

9.0ms
x
Results
ErrorSegmentsBranch
0.5b1x
Compiler

Compiled 74 to 47 computations (36.5% saved)

regimes6.0ms (0%)

Accuracy

Total -30.9b remaining (-3626.6%)

Threshold costs -30.9b (-3626.6%)

Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (-.f64 (+.f64 1 (*.f64 1/6 x)) 1))
(-.f64 (+.f64 1 (*.f64 (*.f64 x x) 1/6)) 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
0.9b1x
Compiler

Compiled 40 to 27 computations (32.5% saved)

simplify6.0ms (0%)

Algorithm
1×egg-herbie
Rules
14×*-commutative_binary64
2×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02783
14383
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x -11/15120) -23/360)) 1/6)))
(+.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 x (*.f64 x -23/360)) 1/6))) (*.f64 -11/15120 (pow.f64 x 6)))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6)))
(*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x -23/360)) 1/6))
(*.f64 x (*.f64 1/6 x))
Outputs
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x -11/15120) -23/360)) 1/6)))
(+.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 x (*.f64 x -23/360)) 1/6))) (*.f64 -11/15120 (pow.f64 x 6)))
(+.f64 (*.f64 x (*.f64 x (+.f64 1/6 (*.f64 x (*.f64 x -23/360))))) (*.f64 -11/15120 (pow.f64 x 6)))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6)))
(*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x -23/360)) 1/6))
(*.f64 (+.f64 1/6 (*.f64 x (*.f64 x -23/360))) (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 x (*.f64 x 1/6))
Compiler

Compiled 63 to 42 computations (33.3% saved)

soundness539.0ms (2.5%)

Algorithm
3×egg-herbie
Rules
1806×fma-def_binary64
798×fma-def_binary64
766×distribute-rgt-out_binary64
740×distribute-lft-out_binary64
731×distribute-lft-out_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052314
1132296
2302296
3872284
43807284
56577284
67472284
018273
141273
286273
3232273
4994273
52574273
63956273
74161273
84388273
94685273
105028273
115449273
126745273
137244273
147849273
030471
176471
2173471
3467471
41997471
54894471
65963471
76444471
86803471
97306471
107977471
Stop Event
1×node limit
1×node limit
1×node limit
Compiler

Compiled 1218 to 945 computations (22.4% saved)

end42.0ms (0.2%)

Compiler

Compiled 59 to 37 computations (37.3% saved)

Profiling

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