Details

Time bar (total: 19.4s)

analyze6.0ms (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)

sample14.8s (76.3%)

Results
12.1s4308×body2048valid
2.0s2091×body1024valid
378.0ms987×body512valid
373.0ms870×body256valid

preprocess78.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 9 to 6 computations (33.3% saved)

simplify68.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

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

eval0.0ms (0%)

Compiler

Compiled 8 to 5 computations (37.5% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
30.9b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶30.9b
(/.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))
✓4.8b
(-.f64 x (sin.f64 x))
Compiler

Compiled 17 to 5 computations (70.6% saved)

series4.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite85.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

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

simplify73.0ms (0.4%)

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

Useful iterations: 3 (0.0ms)

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

eval20.0ms (0.1%)

Compiler

Compiled 1218 to 470 computations (61.4% saved)

prune32.0ms (0.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New811091
Fresh000
Picked011
Done000
Total811192
Error
0.1b
Counts
92 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
✓30.9b
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
10.8b
(/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/362880 (pow.f64 x 9)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))
▶0.2b
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
11.0b
(/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))
▶0.3b
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -11/15120 (pow.f64 x 6)))
▶11.1b
(/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))
0.4b
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6))
▶0.6b
(*.f64 1/6 (*.f64 x x))
30.9b
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))
10.9b
(/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5)))) (tan.f64 x))
▶30.9b
(-.f64 (+.f64 1 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 1)
Compiler

Compiled 310 to 233 computations (24.8% saved)

localize48.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 -143/604800 (pow.f64 x 8))
✓0.0b
(*.f64 -11/15120 (pow.f64 x 6))
✓0.1b
(*.f64 -23/360 (pow.f64 x 4))
✓0.2b
(*.f64 1/6 (pow.f64 x 2))
Compiler

Compiled 93 to 75 computations (19.4% saved)

series7.0ms (0%)

Counts
4 → 0
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 -23/360 (pow.f64 x 4))
1.0ms
x
@0
(*.f64 -11/15120 (pow.f64 x 6))
1.0ms
x
@0
(*.f64 -143/604800 (pow.f64 x 8))
1.0ms
x
@0
(*.f64 1/6 (pow.f64 x 2))
1.0ms
x
@inf
(*.f64 1/6 (pow.f64 x 2))

rewrite115.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
619×log-prod_binary64
381×pow2_binary64
310×pow-prod-down_binary64
263×expm1-udef_binary64
263×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01828
137428
2373828
Stop Event
1×node limit
Counts
4 → 68
Calls
Call 1
Inputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 -23/360 (pow.f64 x 4))
(*.f64 -11/15120 (pow.f64 x 6))
(*.f64 -143/604800 (pow.f64 x 8))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 1/6))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 1/6)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/6 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 4) 1/36) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (sqrt.f64 1/6)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 1/6)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/6 (*.f64 x x))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -23/360 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -23/360)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -23/360))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -23/360))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -23/360))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -23/360 (pow.f64 x 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -23/360 (pow.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 8) 529/129600) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -23/360 (pow.f64 x 4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -23/360 (pow.f64 x 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) (sqrt.f64 -23/360)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 8) 529/129600))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -23/360))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -23/360 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -23/360 (pow.f64 x 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -23/360 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -23/360 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 4 (log.f64 x) (log.f64 -23/360)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 4 (log.f64 x) (log.f64 -23/360)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -11/15120 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -11/15120) (pow.f64 x 6))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -11/15120) (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -11/15120) (pow.f64 x 6)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -11/15120) (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -11/15120 (pow.f64 x 6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -11/15120 (pow.f64 x 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 121/228614400 (pow.f64 x 12)) 1/2)))) (#(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 121/228614400 (pow.f64 x 12)))))) (#(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 (fma.f64 6 (log.f64 x) (log.f64 -11/15120)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 6 (log.f64 x) (log.f64 -11/15120)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -143/604800 (pow.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -143/604800) (pow.f64 x 8))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -143/604800) (pow.f64 x 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -143/604800) (pow.f64 x 8)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -143/604800) (pow.f64 x 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -143/604800 (pow.f64 x 8)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -143/604800 (pow.f64 x 8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 20449/365783040000 (pow.f64 x 16)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -143/604800 (pow.f64 x 8)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -143/604800 (pow.f64 x 8))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 4) (sqrt.f64 -143/604800)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 20449/365783040000 (pow.f64 x 16)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -143/604800) (pow.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -143/604800 (pow.f64 x 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -143/604800 (pow.f64 x 8)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -143/604800 (pow.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -143/604800 (pow.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 8 (log.f64 x) (log.f64 -143/604800)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 8 (log.f64 x) (log.f64 -143/604800)) 1))))))

simplify13.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
68 → 68
Calls
Call 1
Inputs
Outputs

localize10.0ms (0.1%)

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)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite52.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

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

simplify186.0ms (1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0684
11284
22384
34484
410584
533184
6125084
7212384
8228784
9247184
10267984
11297684
12337184
13385284
14441884
15510284
16593584
17632784
18661984
19689584
20696984
21700384
22794484
Stop Event
1×node limit
Counts
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))

localize23.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 1/6 (pow.f64 x 3))
✓10.7b
(/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))
Compiler

Compiled 22 to 15 computations (31.8% saved)

series8.0ms (0%)

Counts
2 → 12
Calls

6 calls:

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

rewrite86.0ms (0.4%)

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))))))))

simplify52.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
031206
175206
2193206
3669206
43687206
Stop Event
1×node limit
Counts
65 → 63
Calls
Call 1
Inputs
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2)))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -1/270 (pow.f64 x 6))))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -1/2835 (pow.f64 x 8)) (*.f64 -1/270 (pow.f64 x 6)))))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
Outputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 -1/18 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -1/18 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -1/18) 1/6)))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -1/270 (pow.f64 x 6))))
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) (*.f64 -1/270 (pow.f64 x 6))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -1/18 (pow.f64 x 4) (*.f64 -1/270 (pow.f64 x 6))))
(+.f64 (*.f64 -1/18 (pow.f64 x 4)) (+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -1/2835 (pow.f64 x 8)) (*.f64 -1/270 (pow.f64 x 6)))))
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) (fma.f64 -1/2835 (pow.f64 x 8) (*.f64 -1/270 (pow.f64 x 6)))))
(fma.f64 -1/18 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) (fma.f64 -1/270 (pow.f64 x 6) (*.f64 -1/2835 (pow.f64 x 8)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -1/18 (pow.f64 x 4) (fma.f64 -1/270 (pow.f64 x 6) (*.f64 -1/2835 (pow.f64 x 8)))))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(/.f64 1/6 (/.f64 (/.f64 (sin.f64 x) (pow.f64 x 3)) (cos.f64 x)))
(/.f64 (cos.f64 x) (/.f64 (/.f64 (sin.f64 x) (pow.f64 x 3)) 1/6))
(*.f64 (pow.f64 x 3) (*.f64 (/.f64 1/6 (sin.f64 x)) (cos.f64 x)))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(/.f64 1/6 (/.f64 (/.f64 (sin.f64 x) (pow.f64 x 3)) (cos.f64 x)))
(/.f64 (cos.f64 x) (/.f64 (/.f64 (sin.f64 x) (pow.f64 x 3)) 1/6))
(*.f64 (pow.f64 x 3) (*.f64 (/.f64 1/6 (sin.f64 x)) (cos.f64 x)))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(/.f64 1/6 (/.f64 (/.f64 (sin.f64 x) (pow.f64 x 3)) (cos.f64 x)))
(/.f64 (cos.f64 x) (/.f64 (/.f64 (sin.f64 x) (pow.f64 x 3)) 1/6))
(*.f64 (pow.f64 x 3) (*.f64 (/.f64 1/6 (sin.f64 x)) (cos.f64 x)))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(/.f64 1/6 (/.f64 (/.f64 (sin.f64 x) (pow.f64 x 3)) (cos.f64 x)))
(/.f64 (cos.f64 x) (/.f64 (/.f64 (sin.f64 x) (pow.f64 x 3)) 1/6))
(*.f64 (pow.f64 x 3) (*.f64 (/.f64 1/6 (sin.f64 x)) (cos.f64 x)))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(/.f64 1/6 (/.f64 (/.f64 (sin.f64 x) (pow.f64 x 3)) (cos.f64 x)))
(/.f64 (cos.f64 x) (/.f64 (/.f64 (sin.f64 x) (pow.f64 x 3)) 1/6))
(*.f64 (pow.f64 x 3) (*.f64 (/.f64 1/6 (sin.f64 x)) (cos.f64 x)))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(/.f64 1/6 (/.f64 (/.f64 (sin.f64 x) (pow.f64 x 3)) (cos.f64 x)))
(/.f64 (cos.f64 x) (/.f64 (/.f64 (sin.f64 x) (pow.f64 x 3)) 1/6))
(*.f64 (pow.f64 x 3) (*.f64 (/.f64 1/6 (sin.f64 x)) (cos.f64 x)))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(/.f64 1/6 (/.f64 (/.f64 (sin.f64 x) (pow.f64 x 3)) (cos.f64 x)))
(/.f64 (cos.f64 x) (/.f64 (/.f64 (sin.f64 x) (pow.f64 x 3)) 1/6))
(*.f64 (pow.f64 x 3) (*.f64 (/.f64 1/6 (sin.f64 x)) (cos.f64 x)))
(*.f64 1/6 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x 3)) (sin.f64 x)))
(*.f64 1/6 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) (pow.f64 x 3))))
(*.f64 1/6 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 x 3)))
(/.f64 1/6 (/.f64 (/.f64 (sin.f64 x) (pow.f64 x 3)) (cos.f64 x)))
(/.f64 (cos.f64 x) (/.f64 (/.f64 (sin.f64 x) (pow.f64 x 3)) 1/6))
(*.f64 (pow.f64 x 3) (*.f64 (/.f64 1/6 (sin.f64 x)) (cos.f64 x)))

localize20.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
4.8b
(-.f64 x (sin.f64 x))
✓4.8b
(-.f64 (+.f64 1 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 1)
Compiler

Compiled 38 to 12 computations (68.4% saved)

series6.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@inf
(-.f64 (+.f64 1 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 1)
1.0ms
x
@0
(-.f64 (+.f64 1 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 1)
1.0ms
x
@-inf
(-.f64 (+.f64 1 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 1)

rewrite97.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
556×fma-def_binary64
490×log-prod_binary64
317×fma-neg_binary64
313×pow-prod-down_binary64
272×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0917
121511
2340811
Stop Event
1×node limit
Counts
1 → 127
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 1)
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (tan.f64 x)) (-.f64 x (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))) (/.f64 1 (+.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) 2)) (/.f64 1 (+.f64 (-.f64 1 (/.f64 x (tan.f64 x))) (cos.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 x))) 2) (cbrt.f64 (/.f64 x (tan.f64 x))) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) -1)) 2) (cbrt.f64 (+.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x (tan.f64 x))) (sqrt.f64 (/.f64 x (tan.f64 x))) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) -1)) (sqrt.f64 (+.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (tan.f64 x)) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (tan.f64 x)) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) -2) (/.f64 x (cbrt.f64 (tan.f64 x))) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) -2) (/.f64 (-.f64 x (sin.f64 x)) (cbrt.f64 (tan.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (tan.f64 x))) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (tan.f64 x))) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (tan.f64 x) -1/2) (/.f64 x (sqrt.f64 (tan.f64 x))) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (tan.f64 x) -1/2) (/.f64 (-.f64 x (sin.f64 x)) (sqrt.f64 (tan.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (tan.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (tan.f64 x))) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (tan.f64 x))) (/.f64 (sqrt.f64 x) (sqrt.f64 (tan.f64 x))) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 x (sin.f64 x))) (tan.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 x (sin.f64 x))) (tan.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.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))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.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))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.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))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 1) (-.f64 (sqrt.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (sin.f64 x)) (cos.f64 x) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 x (sin.f64 x)) (sin.f64 x)) (cos.f64 x) 0)))))

simplify62.0ms (0.3%)

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

Useful iterations: 3 (0.0ms)

IterNodesCost
030200
169188
2154188
3454176
42120176
54708176
65571176
Stop Event
1×node limit
Counts
139 → 139
Calls
Call 1
Inputs
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
Outputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6) (*.f64 -11/15120 (pow.f64 x 6)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 -143/604800 (pow.f64 x 8)))))
(fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x)))))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x))
(/.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 x (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (neg.f64 (cos.f64 x)))
(-.f64 (/.f64 x (/.f64 (sin.f64 x) (cos.f64 x))) (cos.f64 x))
(-.f64 (*.f64 x (/.f64 (cos.f64 x) (sin.f64 x))) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (neg.f64 (cos.f64 x)))
(-.f64 (/.f64 x (/.f64 (sin.f64 x) (cos.f64 x))) (cos.f64 x))
(-.f64 (*.f64 x (/.f64 (cos.f64 x) (sin.f64 x))) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (neg.f64 (cos.f64 x)))
(-.f64 (/.f64 x (/.f64 (sin.f64 x) (cos.f64 x))) (cos.f64 x))
(-.f64 (*.f64 x (/.f64 (cos.f64 x) (sin.f64 x))) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x))
(/.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))
(*.f64 x (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (neg.f64 (cos.f64 x)))
(-.f64 (/.f64 x (/.f64 (sin.f64 x) (cos.f64 x))) (cos.f64 x))
(-.f64 (*.f64 x (/.f64 (cos.f64 x) (sin.f64 x))) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (neg.f64 (cos.f64 x)))
(-.f64 (/.f64 x (/.f64 (sin.f64 x) (cos.f64 x))) (cos.f64 x))
(-.f64 (*.f64 x (/.f64 (cos.f64 x) (sin.f64 x))) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (neg.f64 (cos.f64 x)))
(-.f64 (/.f64 x (/.f64 (sin.f64 x) (cos.f64 x))) (cos.f64 x))
(-.f64 (*.f64 x (/.f64 (cos.f64 x) (sin.f64 x))) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))

localize23.0ms (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)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite67.0ms (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
01129
123029
2250729
Stop Event
1×node limit
Counts
2 → 44
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)))
(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 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)))))))

simplify163.0ms (0.8%)

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
68 → 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))))
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)

eval175.0ms (0.9%)

Compiler

Compiled 8058 to 4575 computations (43.2% saved)

prune76.0ms (0.4%)

Pruning

18 alts after pruning (15 fresh and 3 done)

PrunedKeptTotal
New43913452
Fresh325
Picked101
Done235
Total44518463
Error
0.0b
Counts
463 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
16.2b
(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
3.0b
(+.f64 (exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x)))) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
0.6b
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
0.4b
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6))
36.5b
(/.f64 (pow.f64 (*.f64 (sqrt.f64 1/6) (pow.f64 x 3/2)) 2) (tan.f64 x))
1.1b
(pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)
▶61.2b
(fma.f64 x (/.f64 1 (tan.f64 x)) (neg.f64 (cos.f64 x)))
✓30.9b
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
▶30.9b
(+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x)))
▶31.0b
(-.f64 (+.f64 1 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6))) 1)
10.8b
(/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/362880 (pow.f64 x 9)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))
11.1b
(pow.f64 (*.f64 6 (/.f64 (tan.f64 x) (pow.f64 x 3))) -1)
▶0.2b
(+.f64 (+.f64 0 (*.f64 1/6 (*.f64 x x))) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
✓11.1b
(/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))
✓0.6b
(*.f64 1/6 (*.f64 x x))
31.1b
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)
▶0.5b
(*.f64 x (*.f64 1/6 x))
0.3b
(fma.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x -23/360)) 1/6) (*.f64 -11/15120 (pow.f64 x 6)))
Compiler

Compiled 429 to 326 computations (24% saved)

localize39.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 -143/604800 (pow.f64 x 8))
0.0b
(*.f64 -11/15120 (pow.f64 x 6))
0.1b
(*.f64 -23/360 (pow.f64 x 4))
0.2b
(*.f64 1/6 (*.f64 x x))
Compiler

Compiled 102 to 76 computations (25.5% saved)

localize5.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiled 11 to 7 computations (36.4% saved)

series2.0ms (0%)

Counts
2 → 12
Calls

6 calls:

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

rewrite47.0ms (0.2%)

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))))))))

simplify174.0ms (0.9%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0684
11284
22384
34484
410584
533184
6125084
7212384
8228784
9247184
10267984
11297684
12337184
13385284
14441884
15510284
16593584
17632784
18661984
19689584
20696984
21700384
22794484
Stop Event
1×node limit
Counts
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))

localize63.0ms (0.3%)

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))
✓4.8b
(-.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)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite81.0ms (0.4%)

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
01040
122028
2287128
Stop Event
1×node limit
Counts
2 → 188
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6))) 1)
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6) -1) 1)))) (#(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 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x (*.f64 x -23/360) 1/6))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x (*.f64 x -23/360) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x (*.f64 x -23/360) 1/6)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x (*.f64 x -23/360) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (*.f64 x -23/360) 1/6) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (*.f64 (cbrt.f64 x) (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -23/360) 1/6)) 2) (pow.f64 (*.f64 (cbrt.f64 (fma.f64 x (*.f64 x -23/360) 1/6)) (*.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 x (*.f64 x -23/360) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 x (*.f64 x -23/360) 1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (pow.f64 (*.f64 (sqrt.f64 x) (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (*.f64 x 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-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)))))

simplify198.0ms (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
212 → 121
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))))

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 x (tan.f64 x))
✓4.8b
(+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x)))
Compiler

Compiled 21 to 6 computations (71.4% saved)

series5.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(/.f64 x (tan.f64 x))
1.0ms
x
@-inf
(+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x)))
0.0ms
x
@inf
(/.f64 x (tan.f64 x))
0.0ms
x
@0
(+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x)))
0.0ms
x
@inf
(+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x)))

rewrite58.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
813×pow1_binary64
757×add-log-exp_binary64
756×log1p-expm1-u_binary64
756×expm1-log1p-u_binary64
740×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
116017
2253417
Stop Event
1×node limit
Counts
2 → 71
Calls
Call 1
Inputs
(+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 x (tan.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (cos.f64 x) (/.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 x (tan.f64 x)) 2) (+.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))) (/.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 x (tan.f64 x)) 0) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)) 2) (/.f64 1 (+.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))) 2) (cbrt.f64 (+.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))) (sqrt.f64 (+.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 x (tan.f64 x)) 3) (pow.f64 (cos.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 x (tan.f64 x)) 2) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) (/.f64 x (tan.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (/.f64 x (tan.f64 x))) (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (/.f64 x (tan.f64 x))) (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 x (tan.f64 x)) 2) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) (/.f64 x (tan.f64 x))))) (+.f64 (pow.f64 (/.f64 x (tan.f64 x)) 3) (pow.f64 (cos.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)) (pow.f64 (+.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)) 2) (+.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 x (tan.f64 x)) 3) (pow.f64 (cos.f64 x) 3)) (+.f64 (pow.f64 (/.f64 x (tan.f64 x)) 2) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) (/.f64 x (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 x (tan.f64 x)) 3) (pow.f64 (cos.f64 x) 3)) (+.f64 (pow.f64 (cos.f64 x) 2) (-.f64 (pow.f64 (/.f64 x (tan.f64 x)) 2) (/.f64 (*.f64 x (cos.f64 x)) (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x (tan.f64 x)) 3) (pow.f64 (cos.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 x (tan.f64 x)) 2) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) (/.f64 x (tan.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (+.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)) 2)) (neg.f64 (+.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 x)) 3) (pow.f64 (cos.f64 x) 3)) (+.f64 (pow.f64 (/.f64 x (tan.f64 x)) 2) (*.f64 (cos.f64 x) (-.f64 (cos.f64 x) (/.f64 x (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (/.f64 x (tan.f64 x)) 2)) (-.f64 (cos.f64 x) (/.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 1 (tan.f64 x)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 x (tan.f64 x)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cos.f64 x) (/.f64 x (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)) (/.f64 x (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 x))) 2) (cbrt.f64 (/.f64 x (tan.f64 x))) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) (/.f64 x (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x (tan.f64 x))) (sqrt.f64 (/.f64 x (tan.f64 x))) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (cos.f64 x) (/.f64 x (tan.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (tan.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 x))) 2) (cbrt.f64 (/.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (tan.f64 x))) (sqrt.f64 (/.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (tan.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 x (cbrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (cbrt.f64 (/.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (tan.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (tan.f64 x))) (/.f64 x (sqrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (tan.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sin.f64 x)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (tan.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (tan.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (tan.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (tan.f64 x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (tan.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (tan.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (tan.f64 x))))))))

simplify76.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
614×distribute-lft-out_binary64
599×distribute-rgt-out_binary64
536×fma-def_binary64
488×distribute-rgt-in_binary64
480×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
043338
199324
2225322
3680310
42943310
55624310
67719310
Stop Event
1×node limit
Counts
95 → 90
Calls
Call 1
Inputs
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
1
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) 1)
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) (+.f64 1 (*.f64 -1/45 (pow.f64 x 4))))
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -1/45 (pow.f64 x 4)) (*.f64 -2/945 (pow.f64 x 6)))))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
Outputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) -23/360 1/6)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -11/15120 (pow.f64 x 6)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6) (*.f64 -11/15120 (pow.f64 x 6)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 -143/604800 (pow.f64 x 8)))))
(fma.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 4) -143/604800 -23/360) (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 1/6 (*.f64 x x))))
(fma.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 4) -143/604800 -23/360) (fma.f64 1/6 (*.f64 x x) (*.f64 -11/15120 (pow.f64 x 6))))
(fma.f64 -23/360 (pow.f64 x 4) (fma.f64 -11/15120 (pow.f64 x 6) (fma.f64 -143/604800 (pow.f64 x 8) (*.f64 1/6 (*.f64 x x)))))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))
(*.f64 x (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x)) (neg.f64 (cos.f64 x)))
(-.f64 (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x)) (cos.f64 x))
(-.f64 (*.f64 x (/.f64 (cos.f64 x) (sin.f64 x))) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x)) (neg.f64 (cos.f64 x)))
(-.f64 (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x)) (cos.f64 x))
(-.f64 (*.f64 x (/.f64 (cos.f64 x) (sin.f64 x))) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x)) (neg.f64 (cos.f64 x)))
(-.f64 (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x)) (cos.f64 x))
(-.f64 (*.f64 x (/.f64 (cos.f64 x) (sin.f64 x))) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))
(*.f64 x (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x)) (neg.f64 (cos.f64 x)))
(-.f64 (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x)) (cos.f64 x))
(-.f64 (*.f64 x (/.f64 (cos.f64 x) (sin.f64 x))) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x)) (neg.f64 (cos.f64 x)))
(-.f64 (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x)) (cos.f64 x))
(-.f64 (*.f64 x (/.f64 (cos.f64 x) (sin.f64 x))) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x)) (neg.f64 (cos.f64 x)))
(-.f64 (/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x)) (cos.f64 x))
(-.f64 (*.f64 x (/.f64 (cos.f64 x) (sin.f64 x))) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))
1
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) 1)
(fma.f64 -1/3 (*.f64 x x) 1)
(fma.f64 (*.f64 x x) -1/3 1)
(fma.f64 x (*.f64 x -1/3) 1)
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) (+.f64 1 (*.f64 -1/45 (pow.f64 x 4))))
(+.f64 (fma.f64 -1/3 (*.f64 x x) 1) (*.f64 (pow.f64 x 4) -1/45))
(fma.f64 (*.f64 x x) -1/3 (fma.f64 (pow.f64 x 4) -1/45 1))
(fma.f64 x (*.f64 x -1/3) (fma.f64 (pow.f64 x 4) -1/45 1))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -1/45 -1/3) 1)
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -1/45 (pow.f64 x 4)) (*.f64 -2/945 (pow.f64 x 6)))))
(+.f64 (fma.f64 -1/3 (*.f64 x x) 1) (fma.f64 -1/45 (pow.f64 x 4) (*.f64 (pow.f64 x 6) -2/945)))
(+.f64 (fma.f64 (*.f64 x x) -1/3 1) (fma.f64 (pow.f64 x 4) -1/45 (*.f64 (pow.f64 x 6) -2/945)))
(fma.f64 x (*.f64 x -1/3) (fma.f64 (pow.f64 x 6) -2/945 (fma.f64 (pow.f64 x 4) -1/45 1)))
(fma.f64 x (*.f64 x -1/3) (fma.f64 (pow.f64 x 4) -1/45 (fma.f64 (pow.f64 x 6) -2/945 1)))
(fma.f64 (pow.f64 x 6) -2/945 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -1/45 -1/3) 1))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))
(*.f64 x (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))
(*.f64 x (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))
(*.f64 x (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))
(*.f64 x (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))
(*.f64 x (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))
(*.f64 x (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))
(*.f64 x (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))
(*.f64 x (/.f64 (cos.f64 x) (sin.f64 x)))

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 1 (tan.f64 x))
✓61.0b
(fma.f64 x (/.f64 1 (tan.f64 x)) (neg.f64 (cos.f64 x)))
Compiler

Compiled 23 to 10 computations (56.5% saved)

series4.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(fma.f64 x (/.f64 1 (tan.f64 x)) (neg.f64 (cos.f64 x)))
1.0ms
x
@0
(fma.f64 x (/.f64 1 (tan.f64 x)) (neg.f64 (cos.f64 x)))
1.0ms
x
@inf
(fma.f64 x (/.f64 1 (tan.f64 x)) (neg.f64 (cos.f64 x)))
0.0ms
x
@-inf
(/.f64 1 (tan.f64 x))
0.0ms
x
@0
(/.f64 1 (tan.f64 x))

rewrite50.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
654×pow1_binary64
601×add-log-exp_binary64
601×log1p-expm1-u_binary64
601×expm1-log1p-u_binary64
587×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0820
116017
2194717
Stop Event
1×node limit
Counts
2 → 44
Calls
Call 1
Inputs
(fma.f64 x (/.f64 1 (tan.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 1 (tan.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 x) (/.f64 x (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (tan.f64 x)) 1) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (cos.f64 x) (/.f64 x (tan.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 x (tan.f64 x)) 0) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (cos.f64 x) (/.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 x) (/.f64 x (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (cos.f64 x) (/.f64 x (tan.f64 x)))) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (/.f64 x (tan.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (/.f64 x (tan.f64 x)))) 2) (cbrt.f64 (+.f64 (cos.f64 x) (/.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (cos.f64 x) (/.f64 x (tan.f64 x)))) (sqrt.f64 (+.f64 (cos.f64 x) (/.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 x (tan.f64 x)) 3) (pow.f64 (cos.f64 x) 3)) (+.f64 (*.f64 (/.f64 x (tan.f64 x)) (/.f64 x (tan.f64 x))) (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (/.f64 x (tan.f64 x)) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 x (tan.f64 x)) (/.f64 x (tan.f64 x))) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 x) (/.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (cos.f64 x) (/.f64 x (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (cos.f64 x) (/.f64 x (tan.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (/.f64 x (tan.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (cos.f64 x) (/.f64 x (tan.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (cos.f64 x) (/.f64 x (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (cos.f64 x) (/.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (cos.f64 x) (/.f64 x (tan.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (cos.f64 x) (/.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (cos.f64 x) (/.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (cos.f64 x) (/.f64 x (tan.f64 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (tan.f64 x))) (cbrt.f64 (pow.f64 (tan.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (tan.f64 x) -2)) (/.f64 1 (cbrt.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (tan.f64 x) -1/2) (pow.f64 (tan.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (tan.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (tan.f64 x)) -1) (pow.f64 (sqrt.f64 (tan.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 x)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tan.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (tan.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (tan.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tan.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (tan.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (tan.f64 x))))))))

simplify59.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
772×unswap-sqr_binary64
748×distribute-lft-out_binary64
699×distribute-rgt-out_binary64
616×associate-*l*_binary64
606×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
046313
1108301
2248301
3766289
43619289
57406289
Stop Event
1×node limit
Counts
68 → 64
Calls
Call 1
Inputs
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(/.f64 1 x)
(+.f64 (*.f64 -1/3 x) (/.f64 1 x))
(+.f64 (*.f64 -1/45 (pow.f64 x 3)) (+.f64 (*.f64 -1/3 x) (/.f64 1 x)))
(+.f64 (*.f64 -2/945 (pow.f64 x 5)) (+.f64 (*.f64 -1/45 (pow.f64 x 3)) (+.f64 (*.f64 -1/3 x) (/.f64 1 x))))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
Outputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (*.f64 -23/360 (pow.f64 x 4)))
(fma.f64 1/6 (*.f64 x x) (*.f64 -23/360 (pow.f64 x 4)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6))))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -23/360) 1/6) (*.f64 -11/15120 (pow.f64 x 6)))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -143/604800 (pow.f64 x 8) (fma.f64 -23/360 (pow.f64 x 4) (*.f64 -11/15120 (pow.f64 x 6)))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -23/360 (pow.f64 x 4) (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 -143/604800 (pow.f64 x 8)))))
(fma.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 4) -143/604800 -23/360) (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 1/6 (*.f64 x x))))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x))
(*.f64 x (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (neg.f64 (cos.f64 x)))
(-.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (neg.f64 (cos.f64 x)))
(-.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (neg.f64 (cos.f64 x)))
(-.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))
(/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x))
(/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x))
(*.f64 x (/.f64 (cos.f64 x) (sin.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (neg.f64 (cos.f64 x)))
(-.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (neg.f64 (cos.f64 x)))
(-.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))
(+.f64 (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)) (*.f64 -1 (cos.f64 x)))
(+.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (neg.f64 (cos.f64 x)))
(-.f64 (/.f64 (cos.f64 x) (/.f64 (sin.f64 x) x)) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) -1))
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))
(/.f64 1 x)
(+.f64 (*.f64 -1/3 x) (/.f64 1 x))
(fma.f64 -1/3 x (/.f64 1 x))
(fma.f64 x -1/3 (/.f64 1 x))
(+.f64 (*.f64 -1/45 (pow.f64 x 3)) (+.f64 (*.f64 -1/3 x) (/.f64 1 x)))
(fma.f64 -1/45 (pow.f64 x 3) (fma.f64 -1/3 x (/.f64 1 x)))
(fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x)))
(fma.f64 x -1/3 (fma.f64 -1/45 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 x (fma.f64 x (*.f64 x -1/45) -1/3) (/.f64 1 x))
(+.f64 (*.f64 -2/945 (pow.f64 x 5)) (+.f64 (*.f64 -1/45 (pow.f64 x 3)) (+.f64 (*.f64 -1/3 x) (/.f64 1 x))))
(fma.f64 -2/945 (pow.f64 x 5) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 -1/3 x (/.f64 1 x))))
(fma.f64 -2/945 (pow.f64 x 5) (fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x -1/3 (/.f64 1 x))))
(fma.f64 -1/45 (pow.f64 x 3) (fma.f64 -2/945 (pow.f64 x 5) (fma.f64 x -1/3 (/.f64 1 x))))
(fma.f64 x (fma.f64 x (*.f64 x -1/45) -1/3) (fma.f64 -2/945 (pow.f64 x 5) (/.f64 1 x)))
(fma.f64 -2/945 (pow.f64 x 5) (fma.f64 x (fma.f64 x (*.f64 x -1/45) -1/3) (/.f64 1 x)))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))

eval263.0ms (1.4%)

Compiler

Compiled 7366 to 4520 computations (38.6% saved)

prune98.0ms (0.5%)

Pruning

17 alts after pruning (12 fresh and 5 done)

PrunedKeptTotal
New3936399
Fresh4610
Picked011
Done347
Total40017417
Error
0.0b
Counts
417 → 17
Alt Table
Click to see full alt table
StatusErrorProgram
31.4b
(*.f64 x (pow.f64 (sqrt.f64 (*.f64 1/6 x)) 2))
▶16.2b
(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
▶30.9b
(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))
3.0b
(+.f64 (exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x)))) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
✓61.2b
(fma.f64 x (/.f64 1 (tan.f64 x)) (neg.f64 (cos.f64 x)))
10.8b
(/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/362880 (pow.f64 x 9)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))
▶0.3b
(fma.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x -23/360)) 1/6) (*.f64 -11/15120 (pow.f64 x 6)))
▶31.0b
(-.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x -23/360)) 1/6))) 1)
11.1b
(pow.f64 (*.f64 6 (/.f64 (tan.f64 x) (pow.f64 x 3))) -1)
0.4b
(+.f64 (*.f64 (*.f64 x (*.f64 x -23/360)) (*.f64 x x)) (*.f64 1/6 (*.f64 x x)))
16.6b
(*.f64 x (sqrt.f64 (*.f64 (*.f64 x x) 1/36)))
✓0.2b
(+.f64 (+.f64 0 (*.f64 1/6 (*.f64 x x))) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
✓11.1b
(/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))
0.6b
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
✓0.6b
(*.f64 1/6 (*.f64 x x))
▶31.1b
(-.f64 (+.f64 1 (*.f64 (*.f64 x x) 1/6)) 1)
✓0.5b
(*.f64 x (*.f64 1/6 x))
Compiler

Compiled 383 to 289 computations (24.5% saved)

localize21.0ms (0.1%)

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)

series4.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite72.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01332
128132
2326432
Stop Event
1×node limit
Counts
3 → 64
Calls
Call 1
Inputs
(*.f64 x -23/360)
(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 0 (*.f64 x -23/360))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -23/360) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -23/360) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -23/360) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -23/360) x))))))) (#(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 sqrt.f64 (*.f64 (*.f64 x x) 529/129600))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -23/360) x))))) (#(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 +.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6))) (*.f64 -11/15120 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 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 x (*.f64 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 x (*.f64 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 x (*.f64 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 x (*.f64 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 x (*.f64 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 x (*.f64 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 x (*.f64 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 x (*.f64 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 x (*.f64 x -23/360) 1/6)) (*.f64 -11/15120 (pow.f64 x 6)))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 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 x (*.f64 x -23/360) 1/6)) (*.f64 -11/15120 (pow.f64 x 6)))) 2) (cbrt.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 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 x (*.f64 x -23/360) 1/6)) (*.f64 -11/15120 (pow.f64 x 6)))) (sqrt.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 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 x (*.f64 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 x (*.f64 x -23/360) 1/6))) 2) (-.f64 (*.f64 (pow.f64 x 12) 121/228614400) (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 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 x (*.f64 x -23/360) 1/6))) 2) (*.f64 (pow.f64 x 12) 121/228614400)) (-.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 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 x (*.f64 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 x (*.f64 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 x (*.f64 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 x (*.f64 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 x (*.f64 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 x (*.f64 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 x (*.f64 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 x (*.f64 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 x (*.f64 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 x (*.f64 x -23/360) 1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x -23/360) 1/6)))) (+.f64 1 (expm1.f64 (*.f64 -11/15120 (pow.f64 x 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x (fma.f64 x (*.f64 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 x (*.f64 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 x (*.f64 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 x (*.f64 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 x (*.f64 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 (log.f64 (*.f64 x (*.f64 x -23/360))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -23/360))) 1))))))

simplify171.0ms (0.9%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
019321
143321
286321
3229321
4991321
52587321
63969321
74174321
84401321
94698321
105041321
115462321
126750321
137245321
147848321
Stop Event
1×node limit
Counts
100 → 76
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 (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 -23/360 x)
(*.f64 -23/360 x)
(*.f64 -23/360 x)
(*.f64 -23/360 x)
(*.f64 -23/360 x)
(*.f64 -23/360 x)
(*.f64 -23/360 x)
(*.f64 -23/360 x)
(*.f64 -23/360 x)
(*.f64 -23/360 x)
(*.f64 -23/360 x)
(*.f64 -23/360 x)
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 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)))
(fma.f64 -23/360 (pow.f64 x 4) (*.f64 1/6 (*.f64 x x)))
(*.f64 x (fma.f64 -23/360 (pow.f64 x 3) (*.f64 x 1/6)))
(*.f64 (*.f64 x x) (fma.f64 -23/360 (*.f64 x x) 1/6))
(+.f64 (*.f64 1/6 (pow.f64 x 2)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 1/6 (*.f64 x x) (fma.f64 -11/15120 (pow.f64 x 6) (*.f64 -23/360 (pow.f64 x 4))))
(fma.f64 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) (*.f64 (*.f64 x x) (fma.f64 (pow.f64 x 4) -11/15120 1/6)))
(fma.f64 (*.f64 x x) (fma.f64 (pow.f64 x 4) -11/15120 1/6) (*.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))))
(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) (*.f64 (*.f64 x x) (fma.f64 (pow.f64 x 4) -11/15120 1/6)))
(fma.f64 (*.f64 x x) (fma.f64 (pow.f64 x 4) -11/15120 1/6) (*.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)))
(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) (*.f64 (*.f64 x x) (fma.f64 (pow.f64 x 4) -11/15120 1/6)))
(fma.f64 (*.f64 x x) (fma.f64 (pow.f64 x 4) -11/15120 1/6) (*.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))))
(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) (*.f64 (*.f64 x x) (fma.f64 (pow.f64 x 4) -11/15120 1/6)))
(fma.f64 (*.f64 x x) (fma.f64 (pow.f64 x 4) -11/15120 1/6) (*.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)))
(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) (*.f64 (*.f64 x x) (fma.f64 (pow.f64 x 4) -11/15120 1/6)))
(fma.f64 (*.f64 x x) (fma.f64 (pow.f64 x 4) -11/15120 1/6) (*.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))))
(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) (*.f64 (*.f64 x x) (fma.f64 (pow.f64 x 4) -11/15120 1/6)))
(fma.f64 (*.f64 x x) (fma.f64 (pow.f64 x 4) -11/15120 1/6) (*.f64 -23/360 (pow.f64 x 4)))
(*.f64 -23/360 (pow.f64 x 2))
(*.f64 -23/360 (*.f64 x x))
(*.f64 x (*.f64 -23/360 x))
(*.f64 -23/360 (pow.f64 x 2))
(*.f64 -23/360 (*.f64 x x))
(*.f64 x (*.f64 -23/360 x))
(*.f64 -23/360 (pow.f64 x 2))
(*.f64 -23/360 (*.f64 x x))
(*.f64 x (*.f64 -23/360 x))
(*.f64 -23/360 (pow.f64 x 2))
(*.f64 -23/360 (*.f64 x x))
(*.f64 x (*.f64 -23/360 x))
(*.f64 -23/360 (pow.f64 x 2))
(*.f64 -23/360 (*.f64 x x))
(*.f64 x (*.f64 -23/360 x))
(*.f64 -23/360 (pow.f64 x 2))
(*.f64 -23/360 (*.f64 x x))
(*.f64 x (*.f64 -23/360 x))
(*.f64 -23/360 (pow.f64 x 2))
(*.f64 -23/360 (*.f64 x x))
(*.f64 x (*.f64 -23/360 x))
(*.f64 -23/360 (pow.f64 x 2))
(*.f64 -23/360 (*.f64 x x))
(*.f64 x (*.f64 -23/360 x))
(*.f64 -23/360 (pow.f64 x 2))
(*.f64 -23/360 (*.f64 x x))
(*.f64 x (*.f64 -23/360 x))
(*.f64 -23/360 (pow.f64 x 2))
(*.f64 -23/360 (*.f64 x x))
(*.f64 x (*.f64 -23/360 x))
(*.f64 -23/360 (pow.f64 x 2))
(*.f64 -23/360 (*.f64 x x))
(*.f64 x (*.f64 -23/360 x))
(*.f64 -23/360 (pow.f64 x 2))
(*.f64 -23/360 (*.f64 x x))
(*.f64 x (*.f64 -23/360 x))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (*.f64 x x) 1/6)
✓4.8b
(-.f64 (+.f64 1 (*.f64 (*.f64 x x) 1/6)) 1)
Compiler

Compiled 28 to 16 computations (42.9% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite67.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
815×pow1_binary64
768×add-log-exp_binary64
767×log1p-expm1-u_binary64
767×expm1-log1p-u_binary64
755×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0826
117814
2239614
Stop Event
1×node limit
Counts
2 → 77
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 (*.f64 x x) 1/6)) 1)
(*.f64 (*.f64 x x) 1/6)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 x (*.f64 x 1/6) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 x (*.f64 x 1/6) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) 1/6) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (*.f64 x 1/6) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 x (*.f64 x 1/6) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (*.f64 x 1/6) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (*.f64 x x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/6)) (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))) (cbrt.f64 (*.f64 (*.f64 x x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x 1/6)))))) (#(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 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x 1/6) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (*.f64 x 1/6) 1) 2) (+.f64 (*.f64 (*.f64 x x) 1/6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x 1/6) 1) 2) -1) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 1/6) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/6) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 1/6))) 1) (-.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 1/6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/6 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x 1/6) 1) 2) (+.f64 (*.f64 (*.f64 x x) 1/6) 2)) (+.f64 (pow.f64 (fma.f64 x (*.f64 x 1/6) 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 x x) 1/6) 2) (+.f64 (pow.f64 (fma.f64 x (*.f64 x 1/6) 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x 1/6) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 x (*.f64 x 1/6) 1) 2) (+.f64 (*.f64 (*.f64 x x) 1/6) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x 1/6) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 x (*.f64 x 1/6) 1) 2) (-.f64 1 (*.f64 (fma.f64 x (*.f64 x 1/6) 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x 1/6) 1) 2) -1) (+.f64 (*.f64 (*.f64 x x) 1/6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x 1/6) 1) 2) -1) (-.f64 (fma.f64 x (*.f64 x 1/6) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x 1/6) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x 1/6) 1) 2) (+.f64 (*.f64 (*.f64 x x) 1/6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x 1/6) 1) 2) -1)) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 1/6) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/6) -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 x (*.f64 x 1/6) -1) (fma.f64 x (*.f64 x 1/6) -1)) (fma.f64 x (*.f64 x 1/6) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (fma.f64 x (*.f64 x 1/6) -1) (fma.f64 x (*.f64 x 1/6) -1))) (-.f64 1 (fma.f64 x (*.f64 x 1/6) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/216 (pow.f64 (*.f64 x x) 3)) 1/3)))) (#(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 (pow.f64 (exp.f64 x) x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/216 (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 x x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x (*.f64 x 1/6) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/6) 1)) 2) (cbrt.f64 (fma.f64 x (*.f64 x 1/6) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 1/6))) (hypot.f64 1 (*.f64 x (sqrt.f64 1/6))) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 x (*.f64 x 1/6) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 x (*.f64 x 1/6) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) 1/6) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (*.f64 x 1/6) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 x (*.f64 x 1/6) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (*.f64 x 1/6) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x (*.f64 x 1/6) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (fma.f64 x (*.f64 x 1/6) 1) 3) (+.f64 (pow.f64 (fma.f64 x (*.f64 x 1/6) 1) 2) (+.f64 (*.f64 (*.f64 x x) 1/6) 2))) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (*.f64 x 1/6) 1) 2) (+.f64 (*.f64 (*.f64 x x) 1/6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (fma.f64 x (*.f64 x 1/6) 1) 2) (+.f64 (*.f64 (*.f64 x x) 1/6) 2)) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 1/6) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x 1/6) 1) 2) (+.f64 (*.f64 (*.f64 x x) 1/6) 2)) (+.f64 (pow.f64 (fma.f64 x (*.f64 x 1/6) 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 x x) 1/6) 2) (+.f64 (pow.f64 (fma.f64 x (*.f64 x 1/6) 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x 1/6) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 x (*.f64 x 1/6) 1) 2) (+.f64 (*.f64 (*.f64 x x) 1/6) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x 1/6) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 x (*.f64 x 1/6) 1) 2) (-.f64 1 (*.f64 (fma.f64 x (*.f64 x 1/6) 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x 1/6) 1) 2) -1) (+.f64 (*.f64 (*.f64 x x) 1/6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x 1/6) 1) 2) -1) (-.f64 (fma.f64 x (*.f64 x 1/6) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x 1/6) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x 1/6) 1) 2) (+.f64 (*.f64 (*.f64 x x) 1/6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x 1/6) 1) 2) -1)) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 1/6) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 x (*.f64 x 1/6) -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 x (*.f64 x 1/6) -1) (fma.f64 x (*.f64 x 1/6) -1)) (fma.f64 x (*.f64 x 1/6) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (fma.f64 x (*.f64 x 1/6) -1) (fma.f64 x (*.f64 x 1/6) -1))) (-.f64 1 (fma.f64 x (*.f64 x 1/6) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/216 (pow.f64 (*.f64 x x) 3)) 1/3)))) (#(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 (pow.f64 (exp.f64 x) x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/216 (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 x x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x (*.f64 x 1/6) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/6) 1)) 2) (cbrt.f64 (fma.f64 x (*.f64 x 1/6) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 1/6))) (hypot.f64 1 (*.f64 x (sqrt.f64 1/6))) -1)))))

simplify188.0ms (1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
06168
112168
223168
344168
4105168
5331168
61250168
72123168
82287168
92471168
102679168
112976168
123371168
133852168
144418168
155102168
165935168
176327168
186619168
196895168
206969168
217003168
227944168
Stop Event
1×node limit
Counts
101 → 50
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))
(*.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))
(*.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))

localize23.0ms (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)
✓4.8b
(-.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)
1.0ms
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 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))

rewrite91.0ms (0.5%)

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 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((x *.f64 (+.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 (fma.f64 (*.f64 x x) -23/360 1/6)))) 1) (-.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 (fma.f64 (*.f64 x x) -23/360 1/6)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 (*.f64 x x) -23/360 1/6) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.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)) (+.f64 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 x x) 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-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)))))

simplify196.0ms (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))))

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 1/36 (pow.f64 x 4))
✓15.8b
(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
Compiler

Compiled 18 to 14 computations (22.2% saved)

series2.0ms (0%)

Counts
2 → 12
Calls

6 calls:

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

rewrite52.0ms (0.3%)

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

Useful iterations: 1 (0.0ms)

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

simplify172.0ms (0.9%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0684
11284
22384
34484
410584
533184
6125084
7212384
8228784
9247184
10267984
11297684
12337184
13385284
14441884
15510284
16593584
17632784
18661984
19689584
20696984
21700384
22794484
Stop Event
1×node limit
Counts
48 → 38
Calls
Call 1
Inputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
Outputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (*.f64 x x))
(*.f64 x (*.f64 1/6 x))

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 x (tan.f64 x))
✓4.8b
(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))
Compiler

Compiled 17 to 5 computations (70.6% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite57.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

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

simplify59.0ms (0.3%)

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

Useful iterations: 3 (0.0ms)

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

eval198.0ms (1%)

Compiler

Compiled 7378 to 4650 computations (37% saved)

prune95.0ms (0.5%)

Pruning

17 alts after pruning (7 fresh and 10 done)

PrunedKeptTotal
New4391440
Fresh167
Picked011
Done099
Total44017457
Error
0.0b
Counts
457 → 17
Alt Table
Click to see full alt table
StatusErrorProgram
31.4b
(*.f64 x (pow.f64 (sqrt.f64 (*.f64 1/6 x)) 2))
✓16.2b
(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
✓30.9b
(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))
3.0b
(+.f64 (exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x)))) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
0.6b
(pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)
✓0.6b
(*.f64 1/6 (*.f64 x x))
✓61.2b
(fma.f64 x (/.f64 1 (tan.f64 x)) (neg.f64 (cos.f64 x)))
10.8b
(/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/362880 (pow.f64 x 9)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))
✓0.3b
(fma.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x -23/360)) 1/6) (*.f64 -11/15120 (pow.f64 x 6)))
✓31.0b
(-.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x -23/360)) 1/6))) 1)
11.1b
(pow.f64 (*.f64 6 (/.f64 (tan.f64 x) (pow.f64 x 3))) -1)
0.4b
(+.f64 (*.f64 (*.f64 x (*.f64 x -23/360)) (*.f64 x x)) (*.f64 1/6 (*.f64 x x)))
16.6b
(*.f64 x (sqrt.f64 (*.f64 (*.f64 x x) 1/36)))
✓0.2b
(+.f64 (+.f64 0 (*.f64 1/6 (*.f64 x x))) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
✓11.1b
(/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))
✓31.1b
(-.f64 (+.f64 1 (*.f64 (*.f64 x x) 1/6)) 1)
✓0.5b
(*.f64 x (*.f64 1/6 x))
Compiler

Compiled 220 to 166 computations (24.5% saved)

regimes58.0ms (0.3%)

Counts
31 → 1
Calls
Call 1
Inputs
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (*.f64 x x))
(-.f64 (+.f64 1 (*.f64 (*.f64 x x) 1/6)) 1)
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)
(-.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x -23/360)) 1/6))) 1)
(+.f64 (*.f64 (*.f64 x (*.f64 x -23/360)) (*.f64 x x)) (*.f64 1/6 (*.f64 x x)))
(*.f64 x (sqrt.f64 (*.f64 (*.f64 x x) 1/36)))
(*.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)
(pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)
(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(*.f64 x (pow.f64 (sqrt.f64 (*.f64 1/6 x)) 2))
(pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)
(+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))
(-.f64 (+.f64 1 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 1)
(fma.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x -23/360)) 1/6) (*.f64 -11/15120 (pow.f64 x 6)))
(fma.f64 x (/.f64 1 (tan.f64 x)) (neg.f64 (cos.f64 x)))
(pow.f64 (*.f64 6 (/.f64 (tan.f64 x) (pow.f64 x 3))) -1)
(/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -11/15120 (pow.f64 x 6)))
(+.f64 (+.f64 0 (*.f64 1/6 (*.f64 x x))) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
(/.f64 (pow.f64 (*.f64 (sqrt.f64 1/6) (pow.f64 x 3/2)) 2) (tan.f64 x))
(/.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 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 (exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x)))) (+.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 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/362880 (pow.f64 x 9)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (*.f64 -1/120 (pow.f64 x 5))))) (tan.f64 x))
Outputs
(+.f64 (+.f64 0 (*.f64 1/6 (*.f64 x x))) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
Calls

3 calls:

29.0ms
x
5.0ms
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
5.0ms
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Results
ErrorSegmentsBranch
0.2b1x
0.2b1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
0.2b1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Compiler

Compiled 387 to 249 computations (35.7% saved)

regimes46.0ms (0.2%)

Counts
25 → 1
Calls
Call 1
Inputs
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (*.f64 x x))
(-.f64 (+.f64 1 (*.f64 (*.f64 x x) 1/6)) 1)
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)
(-.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x -23/360)) 1/6))) 1)
(+.f64 (*.f64 (*.f64 x (*.f64 x -23/360)) (*.f64 x x)) (*.f64 1/6 (*.f64 x x)))
(*.f64 x (sqrt.f64 (*.f64 (*.f64 x x) 1/36)))
(*.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)
(pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)
(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(*.f64 x (pow.f64 (sqrt.f64 (*.f64 1/6 x)) 2))
(pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)
(+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))
(-.f64 (+.f64 1 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 1)
(fma.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x -23/360)) 1/6) (*.f64 -11/15120 (pow.f64 x 6)))
(fma.f64 x (/.f64 1 (tan.f64 x)) (neg.f64 (cos.f64 x)))
(pow.f64 (*.f64 6 (/.f64 (tan.f64 x) (pow.f64 x 3))) -1)
(/.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/120 (pow.f64 x 5))) (tan.f64 x))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) -23/360 1/6) (*.f64 -11/15120 (pow.f64 x 6)))
Outputs
(fma.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x -23/360)) 1/6) (*.f64 -11/15120 (pow.f64 x 6)))
Calls

3 calls:

24.0ms
x
5.0ms
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 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))
0.3b1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Compiler

Compiled 257 to 149 computations (42% saved)

regimes31.0ms (0.2%)

Counts
20 → 1
Calls
Call 1
Inputs
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (*.f64 x x))
(-.f64 (+.f64 1 (*.f64 (*.f64 x x) 1/6)) 1)
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)
(-.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x -23/360)) 1/6))) 1)
(+.f64 (*.f64 (*.f64 x (*.f64 x -23/360)) (*.f64 x x)) (*.f64 1/6 (*.f64 x x)))
(*.f64 x (sqrt.f64 (*.f64 (*.f64 x x) 1/36)))
(*.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)
(pow.f64 (*.f64 (sqrt.f64 1/6) x) 2)
(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
(-.f64 (/.f64 x (tan.f64 x)) (cos.f64 x))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(*.f64 x (pow.f64 (sqrt.f64 (*.f64 1/6 x)) 2))
(pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)
(+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 (*.f64 1/6 (pow.f64 x 3)) (tan.f64 x))
(*.f64 (cos.f64 x) (+.f64 -1 (/.f64 x (sin.f64 x))))
(-.f64 (+.f64 1 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))) 1)
Outputs
(+.f64 (*.f64 (*.f64 x (*.f64 x -23/360)) (*.f64 x x)) (*.f64 1/6 (*.f64 x x)))
Calls

3 calls:

12.0ms
x
5.0ms
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
4.0ms
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Results
ErrorSegmentsBranch
0.4b1x
0.4b1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
0.4b1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Compiler

Compiled 193 to 111 computations (42.5% saved)

regimes7.0ms (0%)

Accuracy

Total -30.6b remaining (-5669.3%)

Threshold costs -30.6b (-5669.3%)

Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 x (*.f64 1/6 x))
(*.f64 1/6 (*.f64 x x))
(-.f64 (+.f64 1 (*.f64 (*.f64 x x) 1/6)) 1)
(-.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)
(-.f64 (+.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x -23/360)) 1/6))) 1)
Outputs
(*.f64 x (*.f64 1/6 x))
Calls

1 calls:

5.0ms
x
Results
ErrorSegmentsBranch
0.5b1x
Compiler

Compiled 46 to 30 computations (34.8% saved)

simplify5.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
03086
14686
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(+.f64 (+.f64 0 (*.f64 1/6 (*.f64 x x))) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x -23/360)) 1/6) (*.f64 -11/15120 (pow.f64 x 6)))
(+.f64 (*.f64 (*.f64 x (*.f64 x -23/360)) (*.f64 x x)) (*.f64 1/6 (*.f64 x x)))
(*.f64 x (*.f64 1/6 x))
Outputs
(+.f64 (+.f64 0 (*.f64 1/6 (*.f64 x x))) (+.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 1/6 (*.f64 x x)) (+.f64 (*.f64 -143/604800 (pow.f64 x 8)) (+.f64 (*.f64 -11/15120 (pow.f64 x 6)) (*.f64 -23/360 (pow.f64 x 4)))))
(fma.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x -23/360)) 1/6) (*.f64 -11/15120 (pow.f64 x 6)))
(fma.f64 (*.f64 x x) (+.f64 1/6 (*.f64 x (*.f64 x -23/360))) (*.f64 -11/15120 (pow.f64 x 6)))
(+.f64 (*.f64 (*.f64 x (*.f64 x -23/360)) (*.f64 x x)) (*.f64 1/6 (*.f64 x x)))
(+.f64 (*.f64 1/6 (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x -23/360))))
(*.f64 x (*.f64 1/6 x))
Compiler

Compiled 63 to 44 computations (30.2% saved)

soundness0.0ms (0%)

end41.0ms (0.2%)

Compiler

Compiled 60 to 39 computations (35% saved)

Profiling

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