Details

Time bar (total: 19.5s)

analyze676.0ms (3.5%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%100%0%3
0%100%0%4
0%100%0%5
0%100%0%6
0%100%0%7
0%100%0%8
0%100%0%9
0%100%0%10
0%100%0%11
0%100%0%12
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample9.4s (48.3%)

Results
6.3s2159×body2048valid
1.9s2924×body1024valid
616.0ms1586×body512valid
316.0ms128×body4096valid
256.0ms1459×body256valid

preprocess134.0ms (0.7%)

Algorithm
2×egg-herbie
Rules
583×fma-neg_binary64
430×fma-def_binary64
418×div-sub_binary64
334×times-frac_binary64
156×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0714
11414
22414
34114
47514
513014
626014
754614
8142014
9256614
10339214
11375714
12388614
13391314
14392314
15392714
16392714
011
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Outputs
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify121.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
583×fma-neg_binary64
430×fma-def_binary64
418×div-sub_binary64
334×times-frac_binary64
156×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0714
11414
22414
34114
47514
513014
626014
754614
8142014
9256614
10339214
11375714
12388614
13391314
14392314
15392714
16392714
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Outputs
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))

eval1.0ms (0%)

Compiler

Compiled 19 to 9 computations (52.6% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
30.0b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶30.0b
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
Compiler

Compiled 10 to 6 computations (40% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
✓1.9b
(-.f64 (tan.f64 x) x)
✓1.9b
(-.f64 (sin.f64 x) x)
Compiler

Compiled 23 to 6 computations (73.9% saved)

series10.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite171.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
990×prod-diff_binary64
472×log-prod_binary64
339×fma-def_binary64
251×pow2_binary64
227×egg-rr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0726
116926
2274526
Stop Event
1×node limit
Counts
3 → 417
Calls
Call 1
Inputs
(-.f64 (sin.f64 x) x)
(-.f64 (tan.f64 x) x)
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 x) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 x) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 x) x) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 x) x) (fma.f64 -1 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 x) x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 x) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sin.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (cbrt.f64 (-.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (sqrt.f64 (-.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (sin.f64 x))))))) 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x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (pow.f64 (neg.f64 x) 2) (*.f64 (sin.f64 x) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (neg.f64 x) 2)) (-.f64 (sin.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (sin.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (sin.f64 x) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (sin.f64 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2)) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x (sin.f64 x)) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (sin.f64 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (sin.f64 x))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (sin.f64 x)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (sin.f64 x))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (sin.f64 x))) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (sin.f64 x)) (/.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (sin.f64 x))) (/.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (/.f64 1 (exp.f64 x)) (exp.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 (expm1.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (/.f64 1 (exp.f64 x)) (+.f64 1 (expm1.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (sin.f64 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (sin.f64 x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 x) 1 (neg.f64 x))))) (#(struct:change #<rule egg-rr> 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egg-rr> (2) ((x fma.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x)) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 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x)) (sqrt.f64 (-.f64 (sin.f64 x) x)) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (sqrt.f64 (-.f64 (sin.f64 x) x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (sqrt.f64 (-.f64 (sin.f64 x) x)) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2))) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2))) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (sin.f64 x))) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (sin.f64 x))) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 x)) 2) (cbrt.f64 (neg.f64 x)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 x (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 x)) (-.f64 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x)) 2)) (/.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (-.f64 (tan.f64 x) x))) (neg.f64 (/.f64 x (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (-.f64 (tan.f64 x) x))) (neg.f64 (/.f64 x (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (sin.f64 x) (sqrt.f64 (-.f64 (tan.f64 x) x))) (neg.f64 (/.f64 x (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (-.f64 (tan.f64 x) x))) (neg.f64 (/.f64 x (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (-.f64 (tan.f64 x) x))) (neg.f64 (/.f64 x (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sin.f64 x) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (fma.f64 x (+.f64 x (tan.f64 x)) (pow.f64 (tan.f64 x) 2)) (neg.f64 (/.f64 x (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sin.f64 x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (+.f64 x (tan.f64 x)) (neg.f64 (/.f64 x (-.f64 (tan.f64 x) x))))))))

simplify74.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
597×div-sub_binary64
510×times-frac_binary64
489×fma-def_binary64
285×associate-/l*_binary64
218×distribute-neg-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0100698
1295610
2964576
34842548
Stop Event
1×node limit
Counts
453 → 455
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 1/120 (pow.f64 x 5)) (*.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 1/120 (pow.f64 x 5)) (*.f64 -1/5040 (pow.f64 x 7)))))
(*.f64 -1 x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (sin.f64 x) (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (sin.f64 x) (*.f64 -1 x))
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 62/2835 (pow.f64 x 9)) (*.f64 2/15 (pow.f64 x 5)))))
(*.f64 -1 x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2)))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) 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 1/120 (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) (*.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 1/120 (pow.f64 x 5)) (*.f64 -1/5040 (pow.f64 x 7)))))
(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 -1/6 (pow.f64 x 3) (fma.f64 -1/5040 (pow.f64 x 7) (fma.f64 1/120 (pow.f64 x 5) (*.f64 1/362880 (pow.f64 x 9)))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (neg.f64 x) (sin.f64 x))
(-.f64 (sin.f64 x) x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (neg.f64 x) (sin.f64 x))
(-.f64 (sin.f64 x) x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (neg.f64 x) (sin.f64 x))
(-.f64 (sin.f64 x) x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (neg.f64 x) (sin.f64 x))
(-.f64 (sin.f64 x) x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (neg.f64 x) (sin.f64 x))
(-.f64 (sin.f64 x) x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (neg.f64 x) (sin.f64 x))
(-.f64 (sin.f64 x) x)
(*.f64 1/3 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/3)
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 (pow.f64 x 5) 2/15))
(fma.f64 (pow.f64 x 3) 1/3 (*.f64 (pow.f64 x 5) 2/15))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
(fma.f64 17/315 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (*.f64 (pow.f64 x 5) 2/15)))
(fma.f64 (pow.f64 x 7) 17/315 (fma.f64 (pow.f64 x 3) 1/3 (*.f64 (pow.f64 x 5) 2/15)))
(fma.f64 (pow.f64 x 5) 2/15 (fma.f64 (pow.f64 x 3) 1/3 (*.f64 (pow.f64 x 7) 17/315)))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 62/2835 (pow.f64 x 9)) (*.f64 2/15 (pow.f64 x 5)))))
(fma.f64 17/315 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (fma.f64 62/2835 (pow.f64 x 9) (*.f64 (pow.f64 x 5) 2/15))))
(fma.f64 (pow.f64 x 7) 17/315 (fma.f64 (pow.f64 x 3) 1/3 (fma.f64 (pow.f64 x 9) 62/2835 (*.f64 (pow.f64 x 5) 2/15))))
(fma.f64 (pow.f64 x 3) 1/3 (fma.f64 (pow.f64 x 7) 17/315 (fma.f64 (pow.f64 x 5) 2/15 (*.f64 (pow.f64 x 9) 62/2835))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (neg.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (neg.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (neg.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (neg.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (neg.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (neg.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(fma.f64 x (*.f64 x 9/40) -1/2)
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
(+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2)
(fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))
(fma.f64 x (*.f64 x 9/40) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)
(+.f64 (fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 27/112000 (pow.f64 x 6)))) -1/2)
(fma.f64 x (*.f64 x 9/40) (fma.f64 -27/2800 (pow.f64 x 4) (fma.f64 27/112000 (pow.f64 x 6) -1/2)))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 1 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))
(-.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))
(+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))
(fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1)
(+.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (*.f64 x x)) (/.f64 -1 x))))
(-.f64 1 (*.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) (-.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) -1)))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2)))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 x 3))) (+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))))
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (fma.f64 -1 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 x 3)) (fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1))
(+.f64 (+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (+.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 x x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 x) 2))))))
(+.f64 (+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)) (*.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 x 3)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(+.f64 1 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))
(-.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))
(+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))
(fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1)
(+.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (*.f64 x x)) (/.f64 -1 x))))
(-.f64 1 (*.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) (-.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) -1)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))))
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 x 3))) (+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))))
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (fma.f64 -1 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 x 3)) (fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1))
(+.f64 (+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (+.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 x x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 x) 2))))))
(+.f64 (+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)) (*.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 x 3)))))

eval179.0ms (0.9%)

Compiler

Compiled 16335 to 4913 computations (69.9% saved)

prune89.0ms (0.5%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New44312455
Fresh000
Picked011
Done000
Total44313456
Error
0.0b
Counts
456 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
✓30.0b
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
▶51.0b
(/.f64 (-.f64 (sin.f64 x) x) (exp.f64 (log.f64 (-.f64 (tan.f64 x) x))))
▶32.5b
(fma.f64 x (*.f64 x 9/40) -1/2)
31.4b
(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))
33.1b
-1/2
30.5b
(fma.f64 (/.f64 (sin.f64 x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (+.f64 x (tan.f64 x)) (neg.f64 (/.f64 x (-.f64 (tan.f64 x) x))))
30.7b
(/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 3))
▶30.0b
(pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -1)
▶30.2b
(/.f64 (-.f64 (sin.f64 x) x) (fma.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)) (neg.f64 x)))
51.3b
(/.f64 (exp.f64 (log.f64 (-.f64 (sin.f64 x) x))) (-.f64 (tan.f64 x) x))
30.2b
(+.f64 (fma.f64 1 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (neg.f64 (*.f64 (cbrt.f64 (/.f64 x (-.f64 (tan.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 (tan.f64 x) x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (-.f64 (tan.f64 x) x)))) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 (tan.f64 x) x))) 2) (*.f64 (cbrt.f64 (/.f64 x (-.f64 (tan.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 (tan.f64 x) x))) 2))))
▶30.5b
(+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))
31.0b
1
Compiler

Compiled 374 to 198 computations (47.1% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))
✓0.0b
(pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -1)
1.9b
(-.f64 (tan.f64 x) x)
1.9b
(-.f64 (sin.f64 x) x)
Compiler

Compiled 35 to 9 computations (74.3% saved)

series6.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite144.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
990×prod-diff_binary64
538×log-prod_binary64
344×fma-def_binary64
225×egg-rr
195×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0931
121128
2320128
Stop Event
1×node limit
Counts
2 → 274
Calls
Call 1
Inputs
(pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -1)
(/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))
Outputs
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x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 (-.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 (tan.f64 x) x) 3) (pow.f64 (-.f64 (sin.f64 x) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (tan.f64 x) (/.f64 1 (-.f64 (sin.f64 x) x)) (neg.f64 (/.f64 x (-.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (tan.f64 x) (-.f64 (sin.f64 x) x)) (neg.f64 (/.f64 x (-.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (/.f64 (tan.f64 x) (-.f64 (sin.f64 x) x))) (cbrt.f64 (/.f64 (tan.f64 x) (-.f64 (sin.f64 x) x)))) (cbrt.f64 (/.f64 (tan.f64 x) (-.f64 (sin.f64 x) x))) (neg.f64 (/.f64 x (-.f64 (sin.f64 x) x))))))) (#(struct:change #<rule 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2)) (/.f64 (sqrt.f64 (tan.f64 x)) (cbrt.f64 (-.f64 (sin.f64 x) x))) (neg.f64 (/.f64 x (-.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 (-.f64 (sin.f64 x) x))) (/.f64 (tan.f64 x) (sqrt.f64 (-.f64 (sin.f64 x) x))) (neg.f64 (/.f64 x (-.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (sqrt.f64 (-.f64 (sin.f64 x) x))) (/.f64 (cbrt.f64 (tan.f64 x)) (sqrt.f64 (-.f64 (sin.f64 x) x))) (neg.f64 (/.f64 x (-.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (-.f64 (sin.f64 x) x))) (/.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (-.f64 (sin.f64 x) x))) (neg.f64 (/.f64 x (-.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (tan.f64 x) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2)) (neg.f64 (/.f64 x (-.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (tan.f64 x) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) (+.f64 x (sin.f64 x)) (neg.f64 (/.f64 x (-.f64 (sin.f64 x) x))))))))

simplify79.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
804×fma-def_binary64
681×times-frac_binary64
439×associate-/l*_binary64
306×associate-+l+_binary64
271×associate-+r+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01191051
1392872
21698760
Stop Event
1×node limit
Counts
298 → 308
Calls
Call 1
Inputs
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (sin.f64 x))) (pow.f64 x 2))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (sin.f64 x)) (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (pow.f64 (sin.f64 x) 2)) (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))))) (pow.f64 x 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (sin.f64 x))) (pow.f64 x 2)))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 -1 (*.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))))) (pow.f64 x 2))) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (pow.f64 x 3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 -1 (*.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))))) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (+.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 -1 (*.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))) (pow.f64 x 3))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))))))
-2
(-.f64 (*.f64 -9/10 (pow.f64 x 2)) 2)
(-.f64 (+.f64 (*.f64 -513/1400 (pow.f64 x 4)) (*.f64 -9/10 (pow.f64 x 2))) 2)
(-.f64 (+.f64 (*.f64 -297/2000 (pow.f64 x 6)) (+.f64 (*.f64 -513/1400 (pow.f64 x 4)) (*.f64 -9/10 (pow.f64 x 2)))) 2)
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) (*.f64 -1 (/.f64 (sin.f64 x) x)))
(-.f64 (+.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (sin.f64 x)) (pow.f64 x 2)) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))) (*.f64 -1 (/.f64 (sin.f64 x) x)))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (pow.f64 (sin.f64 x) 2)) (pow.f64 x 3)) (+.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (sin.f64 x)) (pow.f64 x 2)) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))) (*.f64 -1 (/.f64 (sin.f64 x) x)))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (pow.f64 x 2))) (*.f64 -1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (pow.f64 x 2))) (*.f64 -1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)))))
Outputs
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(fma.f64 x (*.f64 x 9/40) -1/2)
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
(+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2)
(fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)
(+.f64 (fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 27/112000 (pow.f64 x 6)))) -1/2)
(+.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 27/112000 (pow.f64 x 6))) (fma.f64 9/40 (*.f64 x x) -1/2))
(fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) (fma.f64 27/112000 (pow.f64 x 6) -1/2)))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 1 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))
(+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (sin.f64 x))) (pow.f64 x 2))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 1 (-.f64 (*.f64 -1 (+.f64 (/.f64 (sin.f64 x) x) (/.f64 (*.f64 (*.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))))) (*.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))
(-.f64 (+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)) (*.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) (/.f64 (+.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) x)))
(+.f64 1 (+.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (/.f64 (*.f64 x x) (+.f64 (*.f64 (sin.f64 x) 0) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (sin.f64 x)) (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (pow.f64 (sin.f64 x) 2)) (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))))) (pow.f64 x 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (sin.f64 x))) (pow.f64 x 2)))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (fma.f64 -1 (/.f64 (fma.f64 -1 (*.f64 (*.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (*.f64 (*.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))))) (*.f64 (*.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (sin.f64 x) (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))))))) (pow.f64 x 3)) (neg.f64 (/.f64 (*.f64 (*.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))))) (*.f64 x x))))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))
(+.f64 1 (+.f64 (-.f64 (/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (+.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))) (*.f64 x x)) (/.f64 (fma.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))) (*.f64 (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))) (pow.f64 x 3))) (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)))
(+.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (-.f64 1 (fma.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) (/.f64 (+.f64 (*.f64 (sin.f64 x) 0) (/.f64 (sin.f64 x) (cos.f64 x))) x) (/.f64 (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 (sin.f64 x) 0) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (+.f64 (*.f64 (sin.f64 x) 0) (/.f64 (sin.f64 x) (cos.f64 x)))))) (pow.f64 x 3)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(+.f64 1 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))
(+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 -1 (*.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))))) (pow.f64 x 2))) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))
(+.f64 1 (-.f64 (*.f64 -1 (+.f64 (/.f64 (sin.f64 x) x) (/.f64 (*.f64 (*.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))))) (*.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))
(-.f64 (+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)) (*.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) (/.f64 (+.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) x)))
(+.f64 1 (+.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (/.f64 (*.f64 x x) (+.f64 (*.f64 (sin.f64 x) 0) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)))
(+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (pow.f64 x 3)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 -1 (*.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))))) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (+.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 -1 (*.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))) (pow.f64 x 3))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 x 3) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))) (fma.f64 -1 (/.f64 (fma.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (neg.f64 (sin.f64 x)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))) (*.f64 x x)) (+.f64 1 (fma.f64 -1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (/.f64 (pow.f64 x 3) (fma.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (neg.f64 (sin.f64 x)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))))) (fma.f64 -1 (/.f64 (*.f64 (*.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 x 3)) (neg.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))))))
(+.f64 (+.f64 1 (+.f64 (/.f64 (*.f64 (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (+.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))) (pow.f64 x 3)) (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (*.f64 (/.f64 (sin.f64 x) (pow.f64 x 3)) (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))))))) (+.f64 (/.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (+.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))) (*.f64 x x)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 3)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))))
(+.f64 (fma.f64 -1 (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (pow.f64 x 3)) (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (*.f64 (sin.f64 x) 0) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (+.f64 (*.f64 (/.f64 (sin.f64 x) x) (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)) 1) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))) 1) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 3)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (/.f64 (*.f64 x x) (+.f64 (*.f64 (sin.f64 x) 0) (/.f64 (sin.f64 x) (cos.f64 x)))))))
-2
(-.f64 (*.f64 -9/10 (pow.f64 x 2)) 2)
(fma.f64 -9/10 (*.f64 x x) -2)
(fma.f64 (*.f64 x x) -9/10 -2)
(fma.f64 (*.f64 -9/10 x) x -2)
(-.f64 (+.f64 (*.f64 -513/1400 (pow.f64 x 4)) (*.f64 -9/10 (pow.f64 x 2))) 2)
(+.f64 (*.f64 (pow.f64 x 4) -513/1400) (fma.f64 -9/10 (*.f64 x x) -2))
(fma.f64 (pow.f64 x 4) -513/1400 (fma.f64 (*.f64 x x) -9/10 -2))
(fma.f64 x (*.f64 x -9/10) (fma.f64 (pow.f64 x 4) -513/1400 -2))
(-.f64 (+.f64 (*.f64 -297/2000 (pow.f64 x 6)) (+.f64 (*.f64 -513/1400 (pow.f64 x 4)) (*.f64 -9/10 (pow.f64 x 2)))) 2)
(+.f64 (fma.f64 -297/2000 (pow.f64 x 6) (fma.f64 -513/1400 (pow.f64 x 4) (*.f64 (*.f64 x x) -9/10))) -2)
(fma.f64 (pow.f64 x 6) -297/2000 (fma.f64 (pow.f64 x 4) -513/1400 (fma.f64 (*.f64 x x) -9/10 -2)))
(fma.f64 (pow.f64 x 6) -297/2000 (fma.f64 x (*.f64 x -9/10) (fma.f64 (pow.f64 x 4) -513/1400 -2)))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))) (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))) (/.f64 (neg.f64 (sin.f64 x)) x)))
(+.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))
(-.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))
(-.f64 (+.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (sin.f64 x)) (pow.f64 x 2)) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))) (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (-.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))) (/.f64 (*.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (/.f64 (*.f64 x x) (sin.f64 x)))) (/.f64 (neg.f64 (sin.f64 x)) x)))
(+.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))))
(+.f64 1 (*.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (-.f64 -1 (/.f64 (sin.f64 x) x))))
(-.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (pow.f64 (sin.f64 x) 2)) (pow.f64 x 3)) (+.f64 1 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 -1 (sin.f64 x))) (sin.f64 x)) (pow.f64 x 2)) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))) (*.f64 -1 (/.f64 (sin.f64 x) x)))
(-.f64 (+.f64 (+.f64 (/.f64 (*.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (/.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 2))) 1) (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))) (/.f64 (*.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (/.f64 (*.f64 x x) (sin.f64 x))))) (/.f64 (neg.f64 (sin.f64 x)) x))
(+.f64 1 (+.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) (-.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 2))) (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))))))
(+.f64 (-.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)) (*.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) x) (sin.f64 x))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)))
(+.f64 1 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))) (/.f64 (neg.f64 (sin.f64 x)) x)))
(+.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))
(-.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (pow.f64 x 2))) (*.f64 -1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))))
(+.f64 1 (-.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))) (/.f64 (*.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (/.f64 (*.f64 x x) (sin.f64 x)))) (/.f64 (neg.f64 (sin.f64 x)) x)))
(+.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) (-.f64 1 (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))))
(+.f64 1 (*.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (-.f64 -1 (/.f64 (sin.f64 x) x))))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (pow.f64 x 2))) (*.f64 -1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)))))
(-.f64 (+.f64 (+.f64 (/.f64 (*.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (/.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 2))) 1) (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))) (/.f64 (*.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (/.f64 (*.f64 x x) (sin.f64 x))))) (/.f64 (neg.f64 (sin.f64 x)) x))
(+.f64 1 (+.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) (-.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 2))) (*.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))))))
(+.f64 (-.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)) (*.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) x) (sin.f64 x))))

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(fma.f64 x (*.f64 x 9/40) -1/2)
✓0.2b
(*.f64 x 9/40)
Compiler

Compiled 13 to 9 computations (30.8% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(fma.f64 x (*.f64 x 9/40) -1/2)
1.0ms
x
@0
(*.f64 x 9/40)
1.0ms
x
@inf
(fma.f64 x (*.f64 x 9/40) -1/2)
0.0ms
x
@inf
(*.f64 x 9/40)
0.0ms
x
@-inf
(*.f64 x 9/40)

rewrite74.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
534×pow1_binary64
522×add-sqr-sqrt_binary64
497×add-log-exp_binary64
497×log1p-expm1-u_binary64
497×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0612
112212
2132712
Stop Event
1×node limit
Counts
2 → 32
Calls
Call 1
Inputs
(*.f64 x 9/40)
(fma.f64 x (*.f64 x 9/40) -1/2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x 9/40)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 9/40) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 9/40) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 9/40)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 9/40)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x 9/40) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 9/40))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 9/40) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 9/40)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 9/40)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 9/40)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/2 (*.f64 x (*.f64 x 9/40)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 9/40)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x 9/40)) 1) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x (*.f64 x 9/40) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (*.f64 x 9/40) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (*.f64 x 9/40) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (*.f64 x 9/40) -1/2)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 9/40) -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 9/40) -1/2)) 2) (cbrt.f64 (fma.f64 x (*.f64 x 9/40) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (*.f64 x 9/40) -1/2)) (sqrt.f64 (fma.f64 x (*.f64 x 9/40) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 9/40)) 3) -1/8) (+.f64 (*.f64 (*.f64 x (*.f64 x 9/40)) (*.f64 x (*.f64 x 9/40))) (-.f64 1/4 (*.f64 (*.f64 x (*.f64 x 9/40)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x 9/40)) (*.f64 x (*.f64 x 9/40))) 1/4) (-.f64 (*.f64 x (*.f64 x 9/40)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (*.f64 x 9/40) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (*.f64 x 9/40) -1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 9/40) -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x 9/40) -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x 9/40) -1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (*.f64 x 9/40) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x 9/40) -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x 9/40) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x 9/40) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (*.f64 x 9/40) -1/2)))))))

simplify164.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1082×sqr-pow_binary64
560×cube-prod_binary64
559×fabs-mul_binary64
523×pow-sqr_binary64
450×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010135
120135
230135
351135
4116135
5349135
61281135
72180135
82344135
92528135
102736135
113034135
123427135
133908135
144476135
155168135
166007135
176401135
186689135
196967135
207039135
217073135
Stop Event
1×node limit
Counts
56 → 38
Calls
Call 1
Inputs
(*.f64 9/40 x)
(*.f64 9/40 x)
(*.f64 9/40 x)
(*.f64 9/40 x)
(*.f64 9/40 x)
(*.f64 9/40 x)
(*.f64 9/40 x)
(*.f64 9/40 x)
(*.f64 9/40 x)
(*.f64 9/40 x)
(*.f64 9/40 x)
(*.f64 9/40 x)
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(*.f64 9/40 (pow.f64 x 2))
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(*.f64 9/40 (pow.f64 x 2))
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
Outputs
(*.f64 9/40 x)
(*.f64 9/40 x)
(*.f64 9/40 x)
(*.f64 9/40 x)
(*.f64 9/40 x)
(*.f64 9/40 x)
(*.f64 9/40 x)
(*.f64 9/40 x)
(*.f64 9/40 x)
(*.f64 9/40 x)
(*.f64 9/40 x)
(*.f64 9/40 x)
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)

localize32.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)
✓0.2b
(/.f64 (sin.f64 x) (cos.f64 x))
✓2.5b
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))
Compiler

Compiled 42 to 9 computations (78.6% saved)

series6.0ms (0%)

Counts
3 → 12
Calls

9 calls:

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

rewrite300.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
836×prod-diff_binary64
472×log-prod_binary64
277×pow-prod-down_binary64
239×fma-def_binary64
238×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0722
116422
2259822
Stop Event
1×node limit
Counts
3 → 362
Calls
Call 1
Inputs
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 x) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 x) (*.f64 (neg.f64 (sin.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.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 (tan.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 (tan.f64 x) (sin.f64 x)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 x) (sin.f64 x)) (fma.f64 -1 (sin.f64 x) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 x) (sin.f64 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sin.f64 x)) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (tan.f64 x) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (tan.f64 x) (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (tan.f64 x) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (tan.f64 x) (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (tan.f64 x) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (tan.f64 x) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (tan.f64 x) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))) 2) (cbrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))) (sqrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (tan.f64 x)) (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 (sin.f64 x) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (tan.f64 x)) (pow.f64 (tan.f64 x) 2)) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (sin.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (sin.f64 x) (tan.f64 x)) (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (sin.f64 x) 3)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (tan.f64 x)) (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (+.f64 (sin.f64 x) (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (sin.f64 x) 3))) (neg.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (tan.f64 x)) (pow.f64 (tan.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (neg.f64 (+.f64 (sin.f64 x) (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (neg.f64 (sin.f64 x)) 3)) (+.f64 (pow.f64 (tan.f64 x) 2) (-.f64 (pow.f64 (neg.f64 (sin.f64 x)) 2) (*.f64 (tan.f64 x) (neg.f64 (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (neg.f64 (sin.f64 x)) 2)) (-.f64 (tan.f64 x) (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (tan.f64 x) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (tan.f64 x) (sin.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (tan.f64 x) (sin.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (tan.f64 x)) (pow.f64 (tan.f64 x) 2)) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (sin.f64 x) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (sin.f64 x) (tan.f64 x)) (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (sin.f64 x) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (tan.f64 x) (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (tan.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (tan.f64 x) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (tan.f64 x))) (exp.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (tan.f64 x)) (+.f64 1 (expm1.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (tan.f64 x))) (+.f64 1 (expm1.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (tan.f64 x))) (exp.f64 (neg.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (tan.f64 x))) (/.f64 1 (exp.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (neg.f64 (sin.f64 x))) (exp.f64 (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (neg.f64 (sin.f64 x))) (+.f64 1 (expm1.f64 (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (/.f64 1 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(sin.f64 x)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (tan.f64 x) (sin.f64 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))) 2) (*.f64 (cbrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x)) (cbrt.f64 (pow.f64 (/.f64 x (-.f64 (tan.f64 x) (sin.f64 x))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 x (-.f64 (tan.f64 x) (sin.f64 x))) -2)) (cbrt.f64 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))) (*.f64 (sqrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x)) (sqrt.f64 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 (tan.f64 x) (sin.f64 x))) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (-.f64 (tan.f64 x) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (-.f64 (tan.f64 x) (sin.f64 x))) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (-.f64 (tan.f64 x) (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 (tan.f64 x) (sin.f64 x)) 3) (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 x (-.f64 (tan.f64 x) (sin.f64 x))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (-.f64 (tan.f64 x) (sin.f64 x))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 (tan.f64 x) (sin.f64 x)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (tan.f64 x) (/.f64 1 x) (neg.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (tan.f64 x) x) (neg.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 x) x)) 2) (cbrt.f64 (/.f64 (tan.f64 x) x)) (neg.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (tan.f64 x) x)) (sqrt.f64 (/.f64 (tan.f64 x) x)) (neg.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sin.f64 x) 1) (/.f64 (/.f64 1 (cos.f64 x)) x) (neg.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) 1) (/.f64 (cbrt.f64 (tan.f64 x)) x) (neg.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (tan.f64 x)) 1) (/.f64 (sqrt.f64 (tan.f64 x)) x) (neg.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 (cos.f64 x)) (cbrt.f64 x)) (neg.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (tan.f64 x) (cbrt.f64 x)) (neg.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (cbrt.f64 (tan.f64 x)) (cbrt.f64 x)) (neg.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (tan.f64 x)) (cbrt.f64 x)) (neg.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 (/.f64 1 (cos.f64 x)) (sqrt.f64 x)) (neg.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/2) (/.f64 (tan.f64 x) (sqrt.f64 x)) (neg.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (tan.f64 x)) (sqrt.f64 x)) (neg.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x)) (neg.f64 (/.f64 (sin.f64 x) x)))))))

simplify112.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
802×fma-def_binary64
734×distribute-lft-out_binary64
699×associate-*l*_binary64
694×distribute-rgt-out_binary64
548×associate-*r*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051186
1134186
2333186
31050186
44208186
56597186
67253186
77533186
87876186
Stop Event
1×node limit
Counts
374 → 384
Calls
Call 1
Inputs
(*.f64 1/2 (pow.f64 x 3))
(+.f64 (*.f64 1/2 (pow.f64 x 3)) (*.f64 1/8 (pow.f64 x 5)))
(+.f64 (*.f64 13/240 (pow.f64 x 7)) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (*.f64 1/8 (pow.f64 x 5))))
(+.f64 (*.f64 13/240 (pow.f64 x 7)) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/8 (pow.f64 x 5)) (*.f64 529/24192 (pow.f64 x 9)))))
x
(+.f64 (*.f64 1/3 (pow.f64 x 3)) x)
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/8 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 1/8 (pow.f64 x 4)) (+.f64 (*.f64 13/240 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (*.f64 1/8 (pow.f64 x 4)) (+.f64 (*.f64 13/240 (pow.f64 x 6)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 529/24192 (pow.f64 x 8)))))
Outputs
(*.f64 1/2 (pow.f64 x 3))
(+.f64 (*.f64 1/2 (pow.f64 x 3)) (*.f64 1/8 (pow.f64 x 5)))
(fma.f64 1/2 (pow.f64 x 3) (*.f64 1/8 (pow.f64 x 5)))
(+.f64 (*.f64 13/240 (pow.f64 x 7)) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (*.f64 1/8 (pow.f64 x 5))))
(fma.f64 13/240 (pow.f64 x 7) (fma.f64 1/2 (pow.f64 x 3) (*.f64 1/8 (pow.f64 x 5))))
(fma.f64 1/2 (pow.f64 x 3) (fma.f64 1/8 (pow.f64 x 5) (*.f64 13/240 (pow.f64 x 7))))
(+.f64 (*.f64 13/240 (pow.f64 x 7)) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/8 (pow.f64 x 5)) (*.f64 529/24192 (pow.f64 x 9)))))
(fma.f64 13/240 (pow.f64 x 7) (fma.f64 1/2 (pow.f64 x 3) (fma.f64 1/8 (pow.f64 x 5) (*.f64 529/24192 (pow.f64 x 9)))))
(fma.f64 13/240 (pow.f64 x 7) (fma.f64 1/2 (pow.f64 x 3) (fma.f64 529/24192 (pow.f64 x 9) (*.f64 1/8 (pow.f64 x 5)))))
(fma.f64 1/2 (pow.f64 x 3) (fma.f64 13/240 (pow.f64 x 7) (fma.f64 1/8 (pow.f64 x 5) (*.f64 529/24192 (pow.f64 x 9)))))
(fma.f64 1/8 (pow.f64 x 5) (fma.f64 1/2 (pow.f64 x 3) (fma.f64 13/240 (pow.f64 x 7) (*.f64 529/24192 (pow.f64 x 9)))))
x
(+.f64 (*.f64 1/3 (pow.f64 x 3)) x)
(fma.f64 1/3 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) 1/3 x)
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(fma.f64 (pow.f64 x 3) 1/3 (fma.f64 (pow.f64 x 5) 2/15 x))
(fma.f64 (pow.f64 x 5) 2/15 (fma.f64 (pow.f64 x 3) 1/3 x))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(fma.f64 17/315 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))
(fma.f64 (pow.f64 x 7) 17/315 (fma.f64 (pow.f64 x 3) 1/3 (fma.f64 (pow.f64 x 5) 2/15 x)))
(fma.f64 (pow.f64 x 7) 17/315 (fma.f64 (pow.f64 x 5) 2/15 (fma.f64 (pow.f64 x 3) 1/3 x)))
(fma.f64 (pow.f64 x 3) 1/3 (fma.f64 (pow.f64 x 5) 2/15 (fma.f64 (pow.f64 x 7) 17/315 x)))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(+.f64 (*.f64 1/8 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/8 (pow.f64 x 4) (*.f64 1/2 (*.f64 x x)))
(fma.f64 1/2 (*.f64 x x) (*.f64 1/8 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x 1/8) 1/2)))
(+.f64 (*.f64 1/8 (pow.f64 x 4)) (+.f64 (*.f64 13/240 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))))
(fma.f64 1/8 (pow.f64 x 4) (fma.f64 13/240 (pow.f64 x 6) (*.f64 1/2 (*.f64 x x))))
(fma.f64 1/8 (pow.f64 x 4) (fma.f64 1/2 (*.f64 x x) (*.f64 13/240 (pow.f64 x 6))))
(+.f64 (*.f64 1/8 (pow.f64 x 4)) (+.f64 (*.f64 13/240 (pow.f64 x 6)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 529/24192 (pow.f64 x 8)))))
(fma.f64 1/8 (pow.f64 x 4) (fma.f64 13/240 (pow.f64 x 6) (fma.f64 1/2 (*.f64 x x) (*.f64 529/24192 (pow.f64 x 8)))))
(fma.f64 1/8 (pow.f64 x 4) (fma.f64 1/2 (*.f64 x x) (fma.f64 13/240 (pow.f64 x 6) (*.f64 529/24192 (pow.f64 x 8)))))
(fma.f64 1/2 (*.f64 x x) (fma.f64 1/8 (pow.f64 x 4) (fma.f64 13/240 (pow.f64 x 6) (*.f64 529/24192 (pow.f64 x 8)))))

localize58.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (-.f64 (sin.f64 x) x) (exp.f64 (log.f64 (-.f64 (tan.f64 x) x))))
✓1.4b
(exp.f64 (log.f64 (-.f64 (tan.f64 x) x)))
1.9b
(-.f64 (tan.f64 x) x)
1.9b
(-.f64 (sin.f64 x) x)
Compiler

Compiled 36 to 8 computations (77.8% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite77.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
510×log-prod_binary64
344×fma-def_binary64
334×pow-prod-down_binary64
271×pow2_binary64
191×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0920
119320
2293120
Stop Event
1×node limit
Counts
2 → 178
Calls
Call 1
Inputs
(exp.f64 (log.f64 (-.f64 (tan.f64 x) x)))
(/.f64 (-.f64 (sin.f64 x) x) (exp.f64 (log.f64 (-.f64 (tan.f64 x) x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 x) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 x) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 x) x) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (tan.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (tan.f64 x) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (tan.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (tan.f64 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (tan.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 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simplify56.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
597×div-sub_binary64
510×times-frac_binary64
375×fma-def_binary64
287×associate-/l*_binary64
215×distribute-neg-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
086574
1261498
2865464
34532436
Stop Event
1×node limit
Counts
202 → 206
Calls
Call 1
Inputs
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 62/2835 (pow.f64 x 9)) (*.f64 2/15 (pow.f64 x 5)))))
(*.f64 -1 x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2)))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))))
Outputs
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5)))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
(fma.f64 17/315 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) (*.f64 17/315 (pow.f64 x 7))))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 62/2835 (pow.f64 x 9)) (*.f64 2/15 (pow.f64 x 5)))))
(fma.f64 17/315 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (fma.f64 62/2835 (pow.f64 x 9) (*.f64 2/15 (pow.f64 x 5)))))
(fma.f64 17/315 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) (*.f64 62/2835 (pow.f64 x 9)))))
(fma.f64 17/315 (pow.f64 x 7) (fma.f64 2/15 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 62/2835 (pow.f64 x 9)))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 17/315 (pow.f64 x 7) (fma.f64 2/15 (pow.f64 x 5) (*.f64 62/2835 (pow.f64 x 9)))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (neg.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (neg.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (neg.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (neg.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (neg.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (neg.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(fma.f64 x (*.f64 x 9/40) -1/2)
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
(+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2)
(fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))
(fma.f64 x (*.f64 x 9/40) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)
(+.f64 (fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 27/112000 (pow.f64 x 6)))) -1/2)
(fma.f64 x (*.f64 x 9/40) (fma.f64 -27/2800 (pow.f64 x 4) (fma.f64 27/112000 (pow.f64 x 6) -1/2)))
(fma.f64 x (*.f64 x 9/40) (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2)))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 1 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))
(-.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))
(+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))
(fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1)
(+.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (*.f64 x x)) (/.f64 -1 x))))
(+.f64 1 (*.f64 (+.f64 1 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x))) (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2)))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 x 3))) (+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))))
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (fma.f64 -1 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 x 3)) (fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1))
(+.f64 1 (+.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (+.f64 (/.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x)) x) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 x 3))))))
(+.f64 (+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)) (*.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (*.f64 x x)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) x))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(+.f64 1 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))
(-.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))
(+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))
(fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1)
(+.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (*.f64 x x)) (/.f64 -1 x))))
(+.f64 1 (*.f64 (+.f64 1 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x))) (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))))
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 x 3))) (+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))))
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (fma.f64 -1 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 x 3)) (fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1))
(+.f64 1 (+.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (+.f64 (/.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x)) x) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 x 3))))))
(+.f64 (+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)) (*.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (*.f64 x x)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) x))))

localize43.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (-.f64 (sin.f64 x) x) (fma.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)) (neg.f64 x)))
✓0.1b
(/.f64 1 (cos.f64 x))
✓1.9b
(fma.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)) (neg.f64 x))
1.9b
(-.f64 (sin.f64 x) x)
Compiler

Compiled 40 to 15 computations (62.5% saved)

series4.0ms (0%)

Counts
3 → 28
Calls

9 calls:

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

rewrite174.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
872×prod-diff_binary64
497×log-prod_binary64
264×pow2_binary64
186×fma-def_binary64
183×pow1/3_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01042
121836
2316426
Stop Event
1×node limit
Counts
3 → 283
Calls
Call 1
Inputs
(fma.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)) (neg.f64 x))
(/.f64 1 (cos.f64 x))
(/.f64 (-.f64 (sin.f64 x) x) (fma.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)) (neg.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (tan.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (tan.f64 x)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (tan.f64 x)) (fma.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 x (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (tan.f64 x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x))))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 x))) (cbrt.f64 (*.f64 x x)) (*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (tan.f64 x) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x))))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 x))) (cbrt.f64 (*.f64 x x)) (*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (cos.f64 x)) (sin.f64 x) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x))))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 x))) (cbrt.f64 (*.f64 x x)) (*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 (cos.f64 x))) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x))))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 x))) (cbrt.f64 (*.f64 x x)) (*.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 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(tan.f64 x)) (+.f64 x (sin.f64 x))) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.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)) (+.f64 x (tan.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x (tan.f64 x)) (+.f64 x (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 x)) 3) (pow.f64 (+.f64 x (tan.f64 x)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 x (tan.f64 x)) (+.f64 x (sin.f64 x))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x (tan.f64 x)) (+.f64 x (sin.f64 x))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.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 (+.f64 x (tan.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 x) (/.f64 1 (+.f64 x (tan.f64 x))) (neg.f64 (/.f64 x (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (sin.f64 x) (+.f64 x (tan.f64 x))) (neg.f64 (/.f64 x (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (+.f64 x (tan.f64 x)))) 2) (cbrt.f64 (/.f64 (sin.f64 x) (+.f64 x (tan.f64 x)))) (neg.f64 (/.f64 x (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (sin.f64 x) (+.f64 x (tan.f64 x)))) (sqrt.f64 (/.f64 (sin.f64 x) (+.f64 x (tan.f64 x)))) (neg.f64 (/.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) (/.f64 (sin.f64 x) (cbrt.f64 (+.f64 x (tan.f64 x)))) (neg.f64 (/.f64 x (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x (tan.f64 x)) -1/2) (/.f64 (sin.f64 x) (sqrt.f64 (+.f64 x (tan.f64 x)))) (neg.f64 (/.f64 x (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) 1) (/.f64 (cbrt.f64 (sin.f64 x)) (+.f64 x (tan.f64 x))) (neg.f64 (/.f64 x (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (+.f64 x (tan.f64 x))) (neg.f64 (/.f64 x (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (cbrt.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2))) (/.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (+.f64 x (tan.f64 x)))) (neg.f64 (/.f64 x (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2))) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (+.f64 x (tan.f64 x)))) (neg.f64 (/.f64 x (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (sqrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (+.f64 x (tan.f64 x)))) (neg.f64 (/.f64 x (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (+.f64 x (tan.f64 x)))) (neg.f64 (/.f64 x (+.f64 x (tan.f64 x)))))))))

simplify61.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
597×div-sub_binary64
510×times-frac_binary64
423×fma-def_binary64
281×associate-/l*_binary64
228×distribute-rgt-out_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
095626
1282548
2927510
34751482
Stop Event
1×node limit
Counts
311 → 317
Calls
Call 1
Inputs
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 62/2835 (pow.f64 x 9)) (*.f64 2/15 (pow.f64 x 5)))))
(*.f64 -1 x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
1
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 5/24 (pow.f64 x 4))))
(+.f64 (*.f64 61/720 (pow.f64 x 6)) (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 5/24 (pow.f64 x 4)))))
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2)))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))))
Outputs
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5)))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
(fma.f64 17/315 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) (*.f64 17/315 (pow.f64 x 7))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 17/315 (pow.f64 x 7) (*.f64 2/15 (pow.f64 x 5))))
(+.f64 (*.f64 17/315 (pow.f64 x 7)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 62/2835 (pow.f64 x 9)) (*.f64 2/15 (pow.f64 x 5)))))
(fma.f64 17/315 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (fma.f64 62/2835 (pow.f64 x 9) (*.f64 2/15 (pow.f64 x 5)))))
(fma.f64 17/315 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) (*.f64 62/2835 (pow.f64 x 9)))))
(fma.f64 17/315 (pow.f64 x 7) (fma.f64 2/15 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 62/2835 (pow.f64 x 9)))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 17/315 (pow.f64 x 7) (fma.f64 2/15 (pow.f64 x 5) (*.f64 62/2835 (pow.f64 x 9)))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (neg.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (neg.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (neg.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (neg.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (neg.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (neg.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)
1
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 1/2 (*.f64 x x)))
(fma.f64 1/2 (*.f64 x x) 1)
(fma.f64 x (*.f64 x 1/2) 1)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 5/24 (pow.f64 x 4))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4))))
(fma.f64 x (*.f64 x 1/2) (fma.f64 5/24 (pow.f64 x 4) 1))
(+.f64 (*.f64 61/720 (pow.f64 x 6)) (+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 5/24 (pow.f64 x 4)))))
(fma.f64 61/720 (pow.f64 x 6) (+.f64 1 (fma.f64 1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4)))))
(+.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 5/24 (pow.f64 x 4))) (fma.f64 61/720 (pow.f64 x 6) 1))
(fma.f64 61/720 (pow.f64 x 6) (fma.f64 x (*.f64 x 1/2) (fma.f64 5/24 (pow.f64 x 4) 1)))
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(fma.f64 (*.f64 x x) 9/40 -1/2)
(fma.f64 x (*.f64 x 9/40) -1/2)
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
(+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 (pow.f64 x 4) -27/2800)) -1/2)
(fma.f64 (*.f64 x x) 9/40 (fma.f64 (pow.f64 x 4) -27/2800 -1/2))
(fma.f64 x (*.f64 x 9/40) (fma.f64 (pow.f64 x 4) -27/2800 -1/2))
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)
(+.f64 (fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 (pow.f64 x 6) 27/112000))) -1/2)
(+.f64 (fma.f64 (pow.f64 x 4) -27/2800 (*.f64 (pow.f64 x 6) 27/112000)) (fma.f64 (*.f64 x x) 9/40 -1/2))
(fma.f64 x (*.f64 x 9/40) (fma.f64 (pow.f64 x 4) -27/2800 (fma.f64 (pow.f64 x 6) 27/112000 -1/2)))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 1 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))
(-.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))
(+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (/.f64 (*.f64 (sin.f64 x) (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (*.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))
(fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1)
(+.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (*.f64 x x)) (/.f64 -1 x))))
(+.f64 1 (*.f64 (+.f64 1 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x))) (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2)))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 x) 2)) (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))))) (+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (/.f64 (*.f64 (sin.f64 x) (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (*.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))))
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (fma.f64 -1 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 x 3)) (fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1))
(+.f64 (+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (+.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 x x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 x) 2))))))
(+.f64 (+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)) (*.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (*.f64 x x)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (pow.f64 (cos.f64 x) 2))))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(+.f64 1 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))
(-.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))
(+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (/.f64 (*.f64 (sin.f64 x) (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (*.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))
(fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1)
(+.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (*.f64 x x)) (/.f64 -1 x))))
(+.f64 1 (*.f64 (+.f64 1 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x))) (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 x) 2)) (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))))) (+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (/.f64 (*.f64 (sin.f64 x) (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (*.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))))
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (fma.f64 -1 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 x 3)) (fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1))
(+.f64 (+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (+.f64 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 x x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 x) 2))))))
(+.f64 (+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)) (*.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (*.f64 x x)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (pow.f64 (cos.f64 x) 2))))))

eval898.0ms (4.6%)

Compiler

Compiled 53678 to 17072 computations (68.2% saved)

prune520.0ms (2.7%)

Pruning

15 alts after pruning (12 fresh and 3 done)

PrunedKeptTotal
New177371780
Fresh257
Picked011
Done325
Total1778151793
Error
0b
Counts
1793 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
63.6b
(/.f64 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 x) x))))) (exp.f64 (log.f64 (-.f64 (tan.f64 x) x))))
30.2b
(pow.f64 (/.f64 (fma.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)) (neg.f64 x)) (-.f64 (sin.f64 x) x)) -1)
✓30.0b
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
✓51.0b
(/.f64 (-.f64 (sin.f64 x) x) (exp.f64 (log.f64 (-.f64 (tan.f64 x) x))))
31.4b
(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))
▶30.5b
(+.f64 1 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x))
▶30.7b
(/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 3))
▶30.0b
(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)))
▶32.5b
(+.f64 (*.f64 x (*.f64 x 9/40)) -1/2)
33.1b
-1/2
✓30.2b
(/.f64 (-.f64 (sin.f64 x) x) (fma.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)) (neg.f64 x)))
51.3b
(/.f64 (exp.f64 (log.f64 (-.f64 (sin.f64 x) x))) (-.f64 (tan.f64 x) x))
52.4b
(/.f64 (fma.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)) (fma.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)) (neg.f64 x)))
▶30.5b
(fma.f64 (/.f64 (sin.f64 x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (+.f64 x (tan.f64 x)) (neg.f64 (/.f64 x (-.f64 (tan.f64 x) x))))
31.0b
1
Compiler

Compiled 377 to 235 computations (37.7% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))
✓0.0b
(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)))
1.9b
(-.f64 (tan.f64 x) x)
1.9b
(-.f64 (sin.f64 x) x)
Compiler

Compiled 35 to 9 computations (74.3% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)))
0.0ms
x
@0
(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)))
0.0ms
x
@-inf
(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)))

rewrite62.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
990×prod-diff_binary64
550×log-prod_binary64
345×fma-def_binary64
194×expm1-udef_binary64
194×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0917
121014
2324814
Stop Event
1×node limit
Counts
1 → 49
Calls
Call 1
Inputs
(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (/.f64 1 (-.f64 (tan.f64 x) x))) (*.f64 (neg.f64 x) (/.f64 1 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (sin.f64 x)) (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))) (cbrt.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sin.f64 x) x) (/.f64 1 (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 2) (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) (sqrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 (neg.f64 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (/.f64 1 (/.f64 1 (-.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) 1) (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (/.f64 (-.f64 (sin.f64 x) x) (cbrt.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (/.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (cbrt.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (cbrt.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (-.f64 (sin.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (sqrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (sqrt.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (sqrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (sqrt.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (-.f64 (tan.f64 x) x))) (neg.f64 (-.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (fma.f64 x (+.f64 x (tan.f64 x)) (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (+.f64 x (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) 2)) (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) 1) (-.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2)) (cbrt.f64 (-.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (sqrt.f64 (-.f64 (sin.f64 x) x))) (sqrt.f64 (-.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (/.f64 (neg.f64 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 (sin.f64 x) x) 3) (pow.f64 (-.f64 (tan.f64 x) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 x) (/.f64 1 (-.f64 (tan.f64 x) x)) (*.f64 (neg.f64 x) (/.f64 1 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (sin.f64 x) (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (neg.f64 x)))))))

simplify51.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
597×div-sub_binary64
510×times-frac_binary64
300×distribute-rgt-in_binary64
284×associate-/l*_binary64
269×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
065420
1206356
2730322
34124294
Stop Event
1×node limit
Counts
61 → 66
Calls
Call 1
Inputs
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2)))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))))
Outputs
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(fma.f64 x (*.f64 9/40 x) -1/2)
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
(+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2)
(fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)
(+.f64 (fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 27/112000 (pow.f64 x 6)))) -1/2)
(fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) (fma.f64 27/112000 (pow.f64 x 6) -1/2)))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(-.f64 (+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))
(-.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))
(+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) (/.f64 (*.f64 (*.f64 x x) (cos.f64 x)) (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))
(fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1)
(+.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (*.f64 x x)) (/.f64 -1 x))))
(+.f64 1 (*.f64 (+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2)))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 x 3))) (+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) (/.f64 (*.f64 (*.f64 x x) (cos.f64 x)) (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))))
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (fma.f64 -1 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 x 3)) (fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1))
(+.f64 1 (+.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (+.f64 (/.f64 (sin.f64 x) (*.f64 x (*.f64 x (cos.f64 x)))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 3)) (pow.f64 (cos.f64 x) 2))))))
(+.f64 1 (+.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (*.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (*.f64 x x)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (pow.f64 (cos.f64 x) 2)))))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(-.f64 (+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))
(-.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))
(+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) (/.f64 (*.f64 (*.f64 x x) (cos.f64 x)) (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))
(fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1)
(+.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (*.f64 x x)) (/.f64 -1 x))))
(+.f64 1 (*.f64 (+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))))
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 x 3))) (+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) (/.f64 (*.f64 (*.f64 x x) (cos.f64 x)) (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))))
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (fma.f64 -1 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 x 3)) (fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1))
(+.f64 1 (+.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (+.f64 (/.f64 (sin.f64 x) (*.f64 x (*.f64 x (cos.f64 x)))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 3)) (pow.f64 (cos.f64 x) 2))))))
(+.f64 1 (+.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (*.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (*.f64 x x)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (pow.f64 (cos.f64 x) 2)))))))

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 x (*.f64 x 9/40))
0.2b
(*.f64 x 9/40)
Compiler

Compiled 19 to 13 computations (31.6% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 x (*.f64 x 9/40))
0.0ms
x
@inf
(*.f64 x (*.f64 x 9/40))
0.0ms
x
@-inf
(*.f64 x (*.f64 x 9/40))

rewrite62.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
448×pow1_binary64
434×add-sqr-sqrt_binary64
425×*-un-lft-identity_binary64
415×add-log-exp_binary64
415×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11017
211417
Stop Event
1×node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 x (*.f64 x 9/40))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x 9/40))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 9/40)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x 9/40)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 9/40))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 9/40)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 x 9/40)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x 9/40)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 9/40)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 9/40))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 9/40))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 9/40))))))))

simplify169.0ms (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
23 → 13
Calls
Call 1
Inputs
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
Outputs
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 x (*.f64 9/40 x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 x (*.f64 9/40 x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 x (*.f64 9/40 x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 x (*.f64 9/40 x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 x (*.f64 9/40 x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 x (*.f64 9/40 x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 x (*.f64 9/40 x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 x (*.f64 9/40 x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 x (*.f64 9/40 x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 x (*.f64 9/40 x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 x (*.f64 9/40 x))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (*.f64 x x))
(*.f64 x (*.f64 9/40 x))

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x)
✓2.5b
(-.f64 (tan.f64 x) (sin.f64 x))
Compiler

Compiled 28 to 8 computations (71.4% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite65.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0619
114019
2218319
Stop Event
1×node limit
Counts
2 → 68
Calls
Call 1
Inputs
(-.f64 (tan.f64 x) (sin.f64 x))
(/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 x) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 x) (*.f64 (neg.f64 (sin.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.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 (tan.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 (tan.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)) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (tan.f64 x) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (tan.f64 x) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))) 2) (cbrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))) (sqrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (sin.f64 x) (+.f64 (tan.f64 x) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 (tan.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (sin.f64 x) (+.f64 (tan.f64 x) (sin.f64 x)))) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (sin.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (tan.f64 x) (sin.f64 x)) (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (sin.f64 x) 3)) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (sin.f64 x) (+.f64 (tan.f64 x) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (+.f64 (tan.f64 x) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (sin.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (sin.f64 x) (+.f64 (tan.f64 x) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (neg.f64 (+.f64 (tan.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (neg.f64 (sin.f64 x)) 3)) (+.f64 (pow.f64 (tan.f64 x) 2) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))) (*.f64 (tan.f64 x) (neg.f64 (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x)))) (-.f64 (tan.f64 x) (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (tan.f64 x) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (tan.f64 x) (sin.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (tan.f64 x) (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (tan.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (tan.f64 x) (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (tan.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (tan.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (tan.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (tan.f64 x) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (tan.f64 x)) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x)) (neg.f64 (sin.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (tan.f64 x) x) (neg.f64 (/.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (tan.f64 x) x) (/.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (tan.f64 x) (sin.f64 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x)) 2) (cbrt.f64 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))) 2) (*.f64 (cbrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x)) (sqrt.f64 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))) (*.f64 (sqrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 (tan.f64 x) (sin.f64 x))) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (-.f64 (tan.f64 x) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (-.f64 (tan.f64 x) (sin.f64 x))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (-.f64 (tan.f64 x) (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 (tan.f64 x) (sin.f64 x)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x)))))))

simplify75.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
728×distribute-lft-out_binary64
684×distribute-rgt-out_binary64
617×fma-def_binary64
614×associate-*l*_binary64
487×associate-*r*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046372
1119372
2278372
3854372
43662372
56155372
67328372
Stop Event
1×node limit
Counts
92 → 85
Calls
Call 1
Inputs
(*.f64 1/2 (pow.f64 x 3))
(+.f64 (*.f64 1/2 (pow.f64 x 3)) (*.f64 1/8 (pow.f64 x 5)))
(+.f64 (*.f64 13/240 (pow.f64 x 7)) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (*.f64 1/8 (pow.f64 x 5))))
(+.f64 (*.f64 13/240 (pow.f64 x 7)) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/8 (pow.f64 x 5)) (*.f64 529/24192 (pow.f64 x 9)))))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/8 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 1/8 (pow.f64 x 4)) (+.f64 (*.f64 13/240 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (*.f64 1/8 (pow.f64 x 4)) (+.f64 (*.f64 13/240 (pow.f64 x 6)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 529/24192 (pow.f64 x 8)))))
(/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)
(/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)
(/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)
(/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)
(/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)
(/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)
(/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)
(/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)
Outputs
(*.f64 1/2 (pow.f64 x 3))
(+.f64 (*.f64 1/2 (pow.f64 x 3)) (*.f64 1/8 (pow.f64 x 5)))
(fma.f64 1/2 (pow.f64 x 3) (*.f64 1/8 (pow.f64 x 5)))
(+.f64 (*.f64 13/240 (pow.f64 x 7)) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (*.f64 1/8 (pow.f64 x 5))))
(fma.f64 13/240 (pow.f64 x 7) (fma.f64 1/2 (pow.f64 x 3) (*.f64 1/8 (pow.f64 x 5))))
(fma.f64 1/2 (pow.f64 x 3) (fma.f64 1/8 (pow.f64 x 5) (*.f64 13/240 (pow.f64 x 7))))
(fma.f64 1/2 (pow.f64 x 3) (fma.f64 13/240 (pow.f64 x 7) (*.f64 1/8 (pow.f64 x 5))))
(+.f64 (*.f64 13/240 (pow.f64 x 7)) (+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/8 (pow.f64 x 5)) (*.f64 529/24192 (pow.f64 x 9)))))
(fma.f64 13/240 (pow.f64 x 7) (fma.f64 1/2 (pow.f64 x 3) (fma.f64 1/8 (pow.f64 x 5) (*.f64 529/24192 (pow.f64 x 9)))))
(fma.f64 13/240 (pow.f64 x 7) (fma.f64 1/2 (pow.f64 x 3) (fma.f64 529/24192 (pow.f64 x 9) (*.f64 1/8 (pow.f64 x 5)))))
(fma.f64 1/2 (pow.f64 x 3) (fma.f64 13/240 (pow.f64 x 7) (fma.f64 1/8 (pow.f64 x 5) (*.f64 529/24192 (pow.f64 x 9)))))
(fma.f64 1/2 (pow.f64 x 3) (fma.f64 1/8 (pow.f64 x 5) (fma.f64 13/240 (pow.f64 x 7) (*.f64 529/24192 (pow.f64 x 9)))))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (*.f64 x x))
(+.f64 (*.f64 1/8 (pow.f64 x 4)) (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/8 (pow.f64 x 4) (*.f64 1/2 (*.f64 x x)))
(fma.f64 1/2 (*.f64 x x) (*.f64 1/8 (pow.f64 x 4)))
(*.f64 x (*.f64 x (fma.f64 1/8 (*.f64 x x) 1/2)))
(*.f64 (*.f64 x x) (fma.f64 1/8 (*.f64 x x) 1/2))
(+.f64 (*.f64 1/8 (pow.f64 x 4)) (+.f64 (*.f64 13/240 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))))
(fma.f64 1/8 (pow.f64 x 4) (fma.f64 13/240 (pow.f64 x 6) (*.f64 1/2 (*.f64 x x))))
(fma.f64 1/2 (*.f64 x x) (fma.f64 1/8 (pow.f64 x 4) (*.f64 13/240 (pow.f64 x 6))))
(+.f64 (*.f64 1/8 (pow.f64 x 4)) (+.f64 (*.f64 13/240 (pow.f64 x 6)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 529/24192 (pow.f64 x 8)))))
(fma.f64 1/8 (pow.f64 x 4) (fma.f64 13/240 (pow.f64 x 6) (fma.f64 1/2 (*.f64 x x) (*.f64 529/24192 (pow.f64 x 8)))))
(fma.f64 1/8 (pow.f64 x 4) (fma.f64 13/240 (pow.f64 x 6) (fma.f64 529/24192 (pow.f64 x 8) (*.f64 1/2 (*.f64 x x)))))
(fma.f64 1/2 (*.f64 x x) (fma.f64 1/8 (pow.f64 x 4) (fma.f64 13/240 (pow.f64 x 6) (*.f64 529/24192 (pow.f64 x 8)))))
(fma.f64 13/240 (pow.f64 x 6) (fma.f64 1/8 (pow.f64 x 4) (fma.f64 529/24192 (pow.f64 x 8) (*.f64 1/2 (*.f64 x x)))))
(/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)
(/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)
(/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)
(/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)
(/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)
(/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)
(/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)
(/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(cbrt.f64 (-.f64 (tan.f64 x) x))
✓0.4b
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 3)
1.9b
(-.f64 (tan.f64 x) x)
1.9b
(-.f64 (sin.f64 x) x)
Compiler

Compiled 39 to 12 computations (69.2% saved)

series13.0ms (0.1%)

Counts
2 → 8
Calls

6 calls:

TimeVariablePointExpression
8.0ms
x
@0
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 3)
2.0ms
x
@inf
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 3)
1.0ms
x
@-inf
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 3)
1.0ms
x
@0
(cbrt.f64 (-.f64 (tan.f64 x) x))
1.0ms
x
@inf
(cbrt.f64 (-.f64 (tan.f64 x) x))

rewrite69.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
720×pow1_binary64
679×add-log-exp_binary64
679×log1p-expm1-u_binary64
679×expm1-log1p-u_binary64
663×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0714
116014
2184214
Stop Event
1×node limit
Counts
2 → 63
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 3)
(cbrt.f64 (-.f64 (tan.f64 x) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 x) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 x) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (tan.f64 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (tan.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (-.f64 (tan.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (tan.f64 x) 3) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))) (/.f64 (pow.f64 x 3) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 x (tan.f64 x))) (/.f64 (*.f64 x x) (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (tan.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (tan.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2) (cbrt.f64 (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (tan.f64 x) x) 1/6) (*.f64 (pow.f64 (-.f64 (tan.f64 x) x) 1/6) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) (sqrt.f64 (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))) 2) 3) (cbrt.f64 (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (-.f64 (tan.f64 x) x) 1/6) 3) (pow.f64 (pow.f64 (-.f64 (tan.f64 x) x) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2) 1) (cbrt.f64 (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2) (pow.f64 (-.f64 (tan.f64 x) x) 1/6)) (pow.f64 (-.f64 (tan.f64 x) x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (tan.f64 x)) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (+.f64 x (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (neg.f64 (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (tan.f64 x) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (tan.f64 x) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (tan.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (tan.f64 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (tan.f64 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (tan.f64 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (tan.f64 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x)) (neg.f64 x))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))) 2) (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (tan.f64 x) x) 1/6) (pow.f64 (-.f64 (tan.f64 x) x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) 1/3) (pow.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (cbrt.f64 (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (tan.f64 x) x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (tan.f64 x) x) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))))))))

simplify43.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
566×associate-+l+_binary64
542×times-frac_binary64
509×associate-+r+_binary64
448×associate-/l*_binary64
438×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
073327
1191280
2552266
31999221
Stop Event
1×node limit
Counts
71 → 78
Calls
Call 1
Inputs
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 113/4725 (*.f64 (+.f64 (*.f64 4/2025 (/.f64 1 (pow.f64 (cbrt.f64 1/3) 4))) (*.f64 38/1575 (/.f64 1 (cbrt.f64 1/3)))) (cbrt.f64 1/3))) (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5))))
(+.f64 (*.f64 (+.f64 (*.f64 1/3 (-.f64 866/70875 (*.f64 8/91125 (/.f64 1 (pow.f64 (cbrt.f64 1/3) 6))))) (+.f64 76/23625 (+.f64 (*.f64 (+.f64 (*.f64 76/70875 (/.f64 1 (pow.f64 (cbrt.f64 1/3) 4))) (*.f64 2/3 (/.f64 (-.f64 866/70875 (*.f64 8/91125 (/.f64 1 (pow.f64 (cbrt.f64 1/3) 6)))) (cbrt.f64 1/3)))) (cbrt.f64 1/3)) (*.f64 2/45 (/.f64 (+.f64 (*.f64 4/2025 (/.f64 1 (pow.f64 (cbrt.f64 1/3) 4))) (*.f64 38/1575 (/.f64 1 (cbrt.f64 1/3)))) (pow.f64 (cbrt.f64 1/3) 2)))))) (pow.f64 x 9)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 113/4725 (*.f64 (+.f64 (*.f64 4/2025 (/.f64 1 (pow.f64 (cbrt.f64 1/3) 4))) (*.f64 38/1575 (/.f64 1 (cbrt.f64 1/3)))) (cbrt.f64 1/3))) (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))))
(*.f64 (cbrt.f64 1/3) x)
(+.f64 (*.f64 (cbrt.f64 1/3) x) (*.f64 2/45 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 1/3) 2))))
(+.f64 (*.f64 (cbrt.f64 1/3) x) (+.f64 (*.f64 2/45 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 1/3) 2))) (*.f64 19/1575 (/.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 1/3) 2)))))
(+.f64 (*.f64 (cbrt.f64 1/3) x) (+.f64 (*.f64 2/45 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 1/3) 2))) (+.f64 (*.f64 19/1575 (/.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 1/3) 2))) (*.f64 1/3 (/.f64 (*.f64 (-.f64 866/70875 (*.f64 8/91125 (/.f64 1 (pow.f64 (cbrt.f64 1/3) 6)))) (pow.f64 x 7)) (pow.f64 (cbrt.f64 1/3) 2))))))
Outputs
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5)))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 113/4725 (*.f64 (+.f64 (*.f64 4/2025 (/.f64 1 (pow.f64 (cbrt.f64 1/3) 4))) (*.f64 38/1575 (/.f64 1 (cbrt.f64 1/3)))) (cbrt.f64 1/3))) (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 (+.f64 113/4725 (*.f64 (cbrt.f64 1/3) (+.f64 (/.f64 4/2025 (pow.f64 (cbrt.f64 1/3) 4)) (/.f64 38/1575 (cbrt.f64 1/3))))) (pow.f64 x 7) (*.f64 2/15 (pow.f64 x 5))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 (fma.f64 (cbrt.f64 1/3) (+.f64 (/.f64 4/2025 (*.f64 1/3 (cbrt.f64 1/3))) (/.f64 38/1575 (cbrt.f64 1/3))) 113/4725) (pow.f64 x 7) (*.f64 2/15 (pow.f64 x 5))))
(fma.f64 (fma.f64 (cbrt.f64 1/3) (+.f64 (/.f64 4/675 (cbrt.f64 1/3)) (/.f64 38/1575 (cbrt.f64 1/3))) 113/4725) (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) (*.f64 17/315 (pow.f64 x 7))))
(+.f64 (*.f64 (+.f64 (*.f64 1/3 (-.f64 866/70875 (*.f64 8/91125 (/.f64 1 (pow.f64 (cbrt.f64 1/3) 6))))) (+.f64 76/23625 (+.f64 (*.f64 (+.f64 (*.f64 76/70875 (/.f64 1 (pow.f64 (cbrt.f64 1/3) 4))) (*.f64 2/3 (/.f64 (-.f64 866/70875 (*.f64 8/91125 (/.f64 1 (pow.f64 (cbrt.f64 1/3) 6)))) (cbrt.f64 1/3)))) (cbrt.f64 1/3)) (*.f64 2/45 (/.f64 (+.f64 (*.f64 4/2025 (/.f64 1 (pow.f64 (cbrt.f64 1/3) 4))) (*.f64 38/1575 (/.f64 1 (cbrt.f64 1/3)))) (pow.f64 (cbrt.f64 1/3) 2)))))) (pow.f64 x 9)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 113/4725 (*.f64 (+.f64 (*.f64 4/2025 (/.f64 1 (pow.f64 (cbrt.f64 1/3) 4))) (*.f64 38/1575 (/.f64 1 (cbrt.f64 1/3)))) (cbrt.f64 1/3))) (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))))
(fma.f64 (fma.f64 1/3 (-.f64 866/70875 (/.f64 8/91125 (pow.f64 (cbrt.f64 1/3) 6))) (+.f64 76/23625 (fma.f64 (+.f64 (/.f64 76/70875 (pow.f64 (cbrt.f64 1/3) 4)) (*.f64 2/3 (/.f64 (-.f64 866/70875 (/.f64 8/91125 (pow.f64 (cbrt.f64 1/3) 6))) (cbrt.f64 1/3)))) (cbrt.f64 1/3) (*.f64 2/45 (/.f64 (+.f64 (/.f64 4/2025 (pow.f64 (cbrt.f64 1/3) 4)) (/.f64 38/1575 (cbrt.f64 1/3))) (pow.f64 (cbrt.f64 1/3) 2)))))) (pow.f64 x 9) (fma.f64 1/3 (pow.f64 x 3) (fma.f64 (+.f64 113/4725 (*.f64 (cbrt.f64 1/3) (+.f64 (/.f64 4/2025 (pow.f64 (cbrt.f64 1/3) 4)) (/.f64 38/1575 (cbrt.f64 1/3))))) (pow.f64 x 7) (*.f64 2/15 (pow.f64 x 5)))))
(fma.f64 (+.f64 (fma.f64 (cbrt.f64 1/3) (+.f64 (/.f64 76/70875 (*.f64 1/3 (cbrt.f64 1/3))) (/.f64 4/525 (cbrt.f64 1/3))) (*.f64 2/45 (/.f64 (+.f64 (/.f64 4/2025 (*.f64 1/3 (cbrt.f64 1/3))) (/.f64 38/1575 (cbrt.f64 1/3))) (pow.f64 (cbrt.f64 1/3) 2)))) 166/23625) (pow.f64 x 9) (fma.f64 1/3 (pow.f64 x 3) (fma.f64 (fma.f64 (cbrt.f64 1/3) (+.f64 (/.f64 4/2025 (*.f64 1/3 (cbrt.f64 1/3))) (/.f64 38/1575 (cbrt.f64 1/3))) 113/4725) (pow.f64 x 7) (*.f64 2/15 (pow.f64 x 5)))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 (+.f64 (fma.f64 (cbrt.f64 1/3) (+.f64 (/.f64 76/23625 (cbrt.f64 1/3)) (/.f64 4/525 (cbrt.f64 1/3))) (/.f64 (fma.f64 (/.f64 4/675 (cbrt.f64 1/3)) 2/45 (/.f64 76/70875 (cbrt.f64 1/3))) (pow.f64 (cbrt.f64 1/3) 2))) 166/23625) (pow.f64 x 9) (fma.f64 (fma.f64 (cbrt.f64 1/3) (+.f64 (/.f64 4/675 (cbrt.f64 1/3)) (/.f64 38/1575 (cbrt.f64 1/3))) 113/4725) (pow.f64 x 7) (*.f64 2/15 (pow.f64 x 5)))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 (+.f64 (/.f64 76/70875 (cbrt.f64 1/3)) (/.f64 8/30375 (cbrt.f64 1/3))) (pow.f64 (cbrt.f64 1/3) 2)) (+.f64 (*.f64 (cbrt.f64 1/3) (/.f64 4/525 (cbrt.f64 1/3))) 242/23625)) (pow.f64 x 9) (fma.f64 2/15 (pow.f64 x 5) (*.f64 17/315 (pow.f64 x 7)))))
(*.f64 (cbrt.f64 1/3) x)
(*.f64 x (cbrt.f64 1/3))
(+.f64 (*.f64 (cbrt.f64 1/3) x) (*.f64 2/45 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 1/3) 2))))
(fma.f64 (cbrt.f64 1/3) x (*.f64 2/45 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 1/3) 2))))
(fma.f64 x (cbrt.f64 1/3) (*.f64 2/45 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 1/3) 2))))
(fma.f64 2/45 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 1/3) 2)) (*.f64 x (cbrt.f64 1/3)))
(+.f64 (*.f64 (cbrt.f64 1/3) x) (+.f64 (*.f64 2/45 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 1/3) 2))) (*.f64 19/1575 (/.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 1/3) 2)))))
(fma.f64 (cbrt.f64 1/3) x (fma.f64 2/45 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 1/3) 2)) (*.f64 19/1575 (/.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 1/3) 2)))))
(fma.f64 x (cbrt.f64 1/3) (fma.f64 2/45 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 1/3) 2)) (*.f64 19/1575 (/.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 1/3) 2)))))
(fma.f64 x (cbrt.f64 1/3) (fma.f64 2/45 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 1/3) 2)) (/.f64 (pow.f64 x 5) (/.f64 (pow.f64 (cbrt.f64 1/3) 2) 19/1575))))
(fma.f64 x (cbrt.f64 1/3) (fma.f64 2/45 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 1/3) 2)) (/.f64 19/1575 (/.f64 (pow.f64 (cbrt.f64 1/3) 2) (pow.f64 x 5)))))
(+.f64 (*.f64 (cbrt.f64 1/3) x) (+.f64 (*.f64 2/45 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 1/3) 2))) (+.f64 (*.f64 19/1575 (/.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 1/3) 2))) (*.f64 1/3 (/.f64 (*.f64 (-.f64 866/70875 (*.f64 8/91125 (/.f64 1 (pow.f64 (cbrt.f64 1/3) 6)))) (pow.f64 x 7)) (pow.f64 (cbrt.f64 1/3) 2))))))
(fma.f64 (cbrt.f64 1/3) x (fma.f64 2/45 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 1/3) 2)) (fma.f64 19/1575 (/.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 1/3) 2)) (*.f64 1/3 (/.f64 (-.f64 866/70875 (/.f64 8/91125 (pow.f64 (cbrt.f64 1/3) 6))) (/.f64 (pow.f64 (cbrt.f64 1/3) 2) (pow.f64 x 7)))))))
(fma.f64 x (cbrt.f64 1/3) (fma.f64 2/45 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 1/3) 2)) (fma.f64 19/1575 (/.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 1/3) 2)) (/.f64 2/525 (/.f64 (pow.f64 (cbrt.f64 1/3) 2) (pow.f64 x 7))))))
(fma.f64 x (cbrt.f64 1/3) (fma.f64 2/45 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 1/3) 2)) (fma.f64 19/1575 (/.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 1/3) 2)) (/.f64 (*.f64 (pow.f64 x 7) 2/525) (pow.f64 (cbrt.f64 1/3) 2)))))
(fma.f64 x (cbrt.f64 1/3) (fma.f64 2/45 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 1/3) 2)) (fma.f64 19/1575 (/.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 1/3) 2)) (*.f64 (/.f64 2/525 (pow.f64 (cbrt.f64 1/3) 2)) (pow.f64 x 7)))))

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(/.f64 (sin.f64 x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))
✓1.4b
(fma.f64 (/.f64 (sin.f64 x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (+.f64 x (tan.f64 x)) (neg.f64 (/.f64 x (-.f64 (tan.f64 x) x))))
✓1.8b
(-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))
1.9b
(-.f64 (tan.f64 x) x)
Compiler

Compiled 77 to 23 computations (70.1% saved)

series14.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
4.0ms
x
@0
(fma.f64 (/.f64 (sin.f64 x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (+.f64 x (tan.f64 x)) (neg.f64 (/.f64 x (-.f64 (tan.f64 x) x))))
3.0ms
x
@inf
(/.f64 (sin.f64 x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))
2.0ms
x
@-inf
(/.f64 (sin.f64 x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))
1.0ms
x
@inf
(fma.f64 (/.f64 (sin.f64 x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (+.f64 x (tan.f64 x)) (neg.f64 (/.f64 x (-.f64 (tan.f64 x) x))))
1.0ms
x
@-inf
(fma.f64 (/.f64 (sin.f64 x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (+.f64 x (tan.f64 x)) (neg.f64 (/.f64 x (-.f64 (tan.f64 x) x))))

rewrite93.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
715×fma-def_binary64
332×fma-neg_binary64
277×expm1-udef_binary64
277×log1p-udef_binary64
245×log-div_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01465
133054
2502652
Stop Event
1×node limit
Counts
3 → 162
Calls
Call 1
Inputs
(-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))
(fma.f64 (/.f64 (sin.f64 x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (+.f64 x (tan.f64 x)) (neg.f64 (/.f64 x (-.f64 (tan.f64 x) x))))
(/.f64 (sin.f64 x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (neg.f64 x) (pow.f64 (tan.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (tan.f64 x) (tan.f64 x) (neg.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (tan.f64 x) (tan.f64 x) (*.f64 (neg.f64 (*.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (tan.f64 x) 2) 1 (neg.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (tan.f64 x) 2) 1 (*.f64 (neg.f64 (*.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) 1 (fma.f64 (neg.f64 x) x (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) 1 (fma.f64 (neg.f64 (*.f64 x x)) 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) 1 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (sin.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 x) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) 1))))))

simplify48.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
954×times-frac_binary64
549×fma-def_binary64
461×associate-/r*_binary64
424×associate-/l*_binary64
324×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01321081
13851049
21342979
Stop Event
1×node limit
Counts
198 → 205
Calls
Call 1
Inputs
(*.f64 2/3 (pow.f64 x 4))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (*.f64 17/45 (pow.f64 x 6)))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 62/315 (pow.f64 x 8)) (*.f64 17/45 (pow.f64 x 6))))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 62/315 (pow.f64 x 8)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (*.f64 1382/14175 (pow.f64 x 10)))))
(*.f64 -1 (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(*.f64 -1 (pow.f64 x 2))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)
1
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (pow.f64 x 3))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)))))
(/.f64 3/2 (pow.f64 x 3))
(-.f64 (*.f64 3/2 (/.f64 1 (pow.f64 x 3))) (*.f64 11/10 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 1621/8400 x) (*.f64 3/2 (/.f64 1 (pow.f64 x 3)))) (*.f64 11/10 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 1621/8400 x) (+.f64 (*.f64 -67/15750 (pow.f64 x 3)) (*.f64 3/2 (/.f64 1 (pow.f64 x 3))))) (*.f64 11/10 (/.f64 1 x)))
(*.f64 -1 (/.f64 (sin.f64 x) (pow.f64 x 2)))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (pow.f64 x 2))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 4)))))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 4)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 5) (*.f64 (pow.f64 (cos.f64 x) 4) (pow.f64 x 6))))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 7) (*.f64 (pow.f64 (cos.f64 x) 6) (pow.f64 x 8)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 4)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 5) (*.f64 (pow.f64 (cos.f64 x) 4) (pow.f64 x 6)))))))
(*.f64 -1 (/.f64 (sin.f64 x) (pow.f64 x 2)))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (pow.f64 x 2))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 4)))))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 4)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 5) (*.f64 (pow.f64 (cos.f64 x) 4) (pow.f64 x 6))))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 7) (*.f64 (pow.f64 (cos.f64 x) 6) (pow.f64 x 8)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 4)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 5) (*.f64 (pow.f64 (cos.f64 x) 4) (pow.f64 x 6)))))))
Outputs
(*.f64 2/3 (pow.f64 x 4))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (*.f64 17/45 (pow.f64 x 6)))
(fma.f64 2/3 (pow.f64 x 4) (*.f64 17/45 (pow.f64 x 6)))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 62/315 (pow.f64 x 8)) (*.f64 17/45 (pow.f64 x 6))))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 62/315 (pow.f64 x 8) (*.f64 17/45 (pow.f64 x 6))))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 17/45 (pow.f64 x 6) (*.f64 62/315 (pow.f64 x 8))))
(fma.f64 17/45 (pow.f64 x 6) (fma.f64 2/3 (pow.f64 x 4) (*.f64 62/315 (pow.f64 x 8))))
(+.f64 (*.f64 2/3 (pow.f64 x 4)) (+.f64 (*.f64 62/315 (pow.f64 x 8)) (+.f64 (*.f64 17/45 (pow.f64 x 6)) (*.f64 1382/14175 (pow.f64 x 10)))))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 62/315 (pow.f64 x 8) (fma.f64 17/45 (pow.f64 x 6) (*.f64 1382/14175 (pow.f64 x 10)))))
(fma.f64 2/3 (pow.f64 x 4) (fma.f64 17/45 (pow.f64 x 6) (fma.f64 62/315 (pow.f64 x 8) (*.f64 1382/14175 (pow.f64 x 10)))))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(fma.f64 -1 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 x x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(fma.f64 -1 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 x x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(fma.f64 -1 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 x x))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(fma.f64 -1 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 x x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(fma.f64 -1 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 x x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(fma.f64 -1 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))
(-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 x x))
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(fma.f64 (*.f64 x x) 9/40 -1/2)
(fma.f64 x (*.f64 x 9/40) -1/2)
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
(+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 (pow.f64 x 4) -27/2800)) -1/2)
(fma.f64 (*.f64 x x) 9/40 (fma.f64 (pow.f64 x 4) -27/2800 -1/2))
(fma.f64 (pow.f64 x 4) -27/2800 (fma.f64 x (*.f64 x 9/40) -1/2))
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)
(+.f64 (fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 (pow.f64 x 6) 27/112000))) -1/2)
(+.f64 (fma.f64 (pow.f64 x 4) -27/2800 (*.f64 (pow.f64 x 6) 27/112000)) (fma.f64 (*.f64 x x) 9/40 -1/2))
(fma.f64 x (*.f64 x 9/40) (fma.f64 (pow.f64 x 4) -27/2800 (fma.f64 (pow.f64 x 6) 27/112000 -1/2)))
1
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 1 (fma.f64 -1 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))
(+.f64 1 (-.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (cos.f64 x))) (fma.f64 -1 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))))
(+.f64 1 (+.f64 (-.f64 (-.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2)))))
(+.f64 (-.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (-.f64 (/.f64 -1 (cos.f64 x)) (/.f64 -1 (pow.f64 (cos.f64 x) 2)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2))) (+.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3)))) (fma.f64 -1 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2)) (pow.f64 x 3)) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (cos.f64 x))) (fma.f64 -1 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))))))
(+.f64 1 (+.f64 (+.f64 (-.f64 (-.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (cos.f64 x)))) (-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (pow.f64 x 3)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2)) (pow.f64 x 3)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2)))))
(+.f64 (-.f64 (-.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)) (pow.f64 x 3))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (-.f64 (/.f64 -1 (cos.f64 x)) (/.f64 -1 (pow.f64 (cos.f64 x) 2)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(+.f64 1 (fma.f64 -1 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))
(+.f64 1 (-.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (cos.f64 x))) (fma.f64 -1 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))))
(+.f64 1 (+.f64 (-.f64 (-.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2)))))
(+.f64 (-.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (-.f64 (/.f64 -1 (cos.f64 x)) (/.f64 -1 (pow.f64 (cos.f64 x) 2)))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))) (pow.f64 x 3))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2))) (+.f64 (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3)))) (fma.f64 -1 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2)) (pow.f64 x 3)) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (cos.f64 x))) (fma.f64 -1 (/.f64 (sin.f64 x) x) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))))))
(+.f64 1 (+.f64 (+.f64 (-.f64 (-.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (cos.f64 x)))) (-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3)) (pow.f64 x 3)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2)) (pow.f64 x 3)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2)))))
(+.f64 (-.f64 (-.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 2)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3)) (pow.f64 x 3))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (-.f64 (/.f64 -1 (cos.f64 x)) (/.f64 -1 (pow.f64 (cos.f64 x) 2)))))
(/.f64 3/2 (pow.f64 x 3))
(-.f64 (*.f64 3/2 (/.f64 1 (pow.f64 x 3))) (*.f64 11/10 (/.f64 1 x)))
(-.f64 (/.f64 3/2 (pow.f64 x 3)) (/.f64 11/10 x))
(+.f64 (/.f64 3/2 (pow.f64 x 3)) (/.f64 -11/10 x))
(-.f64 (+.f64 (*.f64 1621/8400 x) (*.f64 3/2 (/.f64 1 (pow.f64 x 3)))) (*.f64 11/10 (/.f64 1 x)))
(-.f64 (fma.f64 1621/8400 x (/.f64 3/2 (pow.f64 x 3))) (/.f64 11/10 x))
(+.f64 (fma.f64 x 1621/8400 (/.f64 3/2 (pow.f64 x 3))) (/.f64 -11/10 x))
(+.f64 (/.f64 3/2 (pow.f64 x 3)) (fma.f64 x 1621/8400 (/.f64 -11/10 x)))
(-.f64 (+.f64 (*.f64 1621/8400 x) (+.f64 (*.f64 -67/15750 (pow.f64 x 3)) (*.f64 3/2 (/.f64 1 (pow.f64 x 3))))) (*.f64 11/10 (/.f64 1 x)))
(-.f64 (fma.f64 1621/8400 x (fma.f64 -67/15750 (pow.f64 x 3) (/.f64 3/2 (pow.f64 x 3)))) (/.f64 11/10 x))
(+.f64 (fma.f64 x 1621/8400 (fma.f64 (pow.f64 x 3) -67/15750 (/.f64 3/2 (pow.f64 x 3)))) (/.f64 -11/10 x))
(+.f64 (fma.f64 (pow.f64 x 3) -67/15750 (/.f64 3/2 (pow.f64 x 3))) (fma.f64 x 1621/8400 (/.f64 -11/10 x)))
(*.f64 -1 (/.f64 (sin.f64 x) (pow.f64 x 2)))
(neg.f64 (/.f64 (sin.f64 x) (*.f64 x x)))
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) x) x)
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (pow.f64 x 2))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 4)))))
(*.f64 -1 (+.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 x 4) (pow.f64 (cos.f64 x) 2)))))
(-.f64 (/.f64 (/.f64 (neg.f64 (sin.f64 x)) x) x) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 x 4) (pow.f64 (cos.f64 x) 2))))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 4)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 5) (*.f64 (pow.f64 (cos.f64 x) 4) (pow.f64 x 6))))))
(fma.f64 -1 (/.f64 (sin.f64 x) (*.f64 x x)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 x 4) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 5) (*.f64 (pow.f64 x 6) (pow.f64 (cos.f64 x) 4))))))
(-.f64 (-.f64 (/.f64 (/.f64 (neg.f64 (sin.f64 x)) x) x) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 x 4) (pow.f64 (cos.f64 x) 2)))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 5) (pow.f64 (cos.f64 x) 4)) (pow.f64 x 6)))
(-.f64 (/.f64 (/.f64 (neg.f64 (sin.f64 x)) x) x) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 x 4) (pow.f64 (cos.f64 x) 2))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 5) (pow.f64 (cos.f64 x) 4)) (pow.f64 x 6))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 7) (*.f64 (pow.f64 (cos.f64 x) 6) (pow.f64 x 8)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 4)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 5) (*.f64 (pow.f64 (cos.f64 x) 4) (pow.f64 x 6)))))))
(fma.f64 -1 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 7) (pow.f64 (cos.f64 x) 6)) (pow.f64 x 8)) (fma.f64 -1 (/.f64 (sin.f64 x) (*.f64 x x)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 x 4) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 5) (*.f64 (pow.f64 x 6) (pow.f64 (cos.f64 x) 4)))))))
(-.f64 (-.f64 (-.f64 (/.f64 (/.f64 (neg.f64 (sin.f64 x)) x) x) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 x 4) (pow.f64 (cos.f64 x) 2)))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 5) (pow.f64 (cos.f64 x) 4)) (pow.f64 x 6))) (/.f64 (pow.f64 (sin.f64 x) 7) (*.f64 (pow.f64 x 8) (pow.f64 (cos.f64 x) 6))))
(-.f64 (-.f64 (/.f64 (/.f64 (neg.f64 (sin.f64 x)) x) x) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 x 4) (pow.f64 (cos.f64 x) 2)))) (+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 5) (pow.f64 (cos.f64 x) 4)) (pow.f64 x 6)) (/.f64 (pow.f64 (sin.f64 x) 7) (*.f64 (pow.f64 x 8) (pow.f64 (cos.f64 x) 6)))))
(*.f64 -1 (/.f64 (sin.f64 x) (pow.f64 x 2)))
(neg.f64 (/.f64 (sin.f64 x) (*.f64 x x)))
(/.f64 (/.f64 (neg.f64 (sin.f64 x)) x) x)
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (pow.f64 x 2))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 4)))))
(*.f64 -1 (+.f64 (/.f64 (sin.f64 x) (*.f64 x x)) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 x 4) (pow.f64 (cos.f64 x) 2)))))
(-.f64 (/.f64 (/.f64 (neg.f64 (sin.f64 x)) x) x) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 x 4) (pow.f64 (cos.f64 x) 2))))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 4)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 5) (*.f64 (pow.f64 (cos.f64 x) 4) (pow.f64 x 6))))))
(fma.f64 -1 (/.f64 (sin.f64 x) (*.f64 x x)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 x 4) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 5) (*.f64 (pow.f64 x 6) (pow.f64 (cos.f64 x) 4))))))
(-.f64 (-.f64 (/.f64 (/.f64 (neg.f64 (sin.f64 x)) x) x) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 x 4) (pow.f64 (cos.f64 x) 2)))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 5) (pow.f64 (cos.f64 x) 4)) (pow.f64 x 6)))
(-.f64 (/.f64 (/.f64 (neg.f64 (sin.f64 x)) x) x) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 x 4) (pow.f64 (cos.f64 x) 2))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 5) (pow.f64 (cos.f64 x) 4)) (pow.f64 x 6))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 7) (*.f64 (pow.f64 (cos.f64 x) 6) (pow.f64 x 8)))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 4)))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 5) (*.f64 (pow.f64 (cos.f64 x) 4) (pow.f64 x 6)))))))
(fma.f64 -1 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 7) (pow.f64 (cos.f64 x) 6)) (pow.f64 x 8)) (fma.f64 -1 (/.f64 (sin.f64 x) (*.f64 x x)) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 x 4) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 5) (*.f64 (pow.f64 x 6) (pow.f64 (cos.f64 x) 4)))))))
(-.f64 (-.f64 (-.f64 (/.f64 (/.f64 (neg.f64 (sin.f64 x)) x) x) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 x 4) (pow.f64 (cos.f64 x) 2)))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 5) (pow.f64 (cos.f64 x) 4)) (pow.f64 x 6))) (/.f64 (pow.f64 (sin.f64 x) 7) (*.f64 (pow.f64 x 8) (pow.f64 (cos.f64 x) 6))))
(-.f64 (-.f64 (/.f64 (/.f64 (neg.f64 (sin.f64 x)) x) x) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 x 4) (pow.f64 (cos.f64 x) 2)))) (+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 5) (pow.f64 (cos.f64 x) 4)) (pow.f64 x 6)) (/.f64 (pow.f64 (sin.f64 x) 7) (*.f64 (pow.f64 x 8) (pow.f64 (cos.f64 x) 6)))))

eval689.0ms (3.5%)

Compiler

Compiled 35694 to 12138 computations (66% saved)

prune299.0ms (1.5%)

Pruning

17 alts after pruning (11 fresh and 6 done)

PrunedKeptTotal
New122171228
Fresh347
Picked011
Done257
Total1226171243
Error
0b
Counts
1243 → 17
Alt Table
Click to see full alt table
StatusErrorProgram
30.2b
(/.f64 1 (/.f64 (fma.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)) (neg.f64 x)) (-.f64 (sin.f64 x) x)))
63.6b
(/.f64 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 x) x))))) (exp.f64 (log.f64 (-.f64 (tan.f64 x) x))))
31.4b
(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 x)))
▶51.3b
(/.f64 (exp.f64 (log.f64 (-.f64 (sin.f64 x) x))) (-.f64 (tan.f64 x) x))
▶31.4b
(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))
✓30.5b
(+.f64 1 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x))
33.1b
-1/2
▶63.6b
(/.f64 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 x) x))))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 3))
✓32.5b
(+.f64 (*.f64 x (*.f64 x 9/40)) -1/2)
▶30.0b
(/.f64 1 (-.f64 (/.f64 (tan.f64 x) (-.f64 (sin.f64 x) x)) (/.f64 x (-.f64 (sin.f64 x) x))))
✓30.2b
(/.f64 (-.f64 (sin.f64 x) x) (fma.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)) (neg.f64 x)))
31.0b
1
✓30.0b
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
▶30.9b
(/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)) (neg.f64 x))) 3))
52.4b
(/.f64 (fma.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)) (fma.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)) (neg.f64 x)))
✓30.5b
(fma.f64 (/.f64 (sin.f64 x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (+.f64 x (tan.f64 x)) (neg.f64 (/.f64 x (-.f64 (tan.f64 x) x))))
✓30.0b
(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)))
Compiler

Compiled 423 to 257 computations (39.2% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 1 (-.f64 (/.f64 (tan.f64 x) (-.f64 (sin.f64 x) x)) (/.f64 x (-.f64 (sin.f64 x) x))))
✓0.1b
(/.f64 (tan.f64 x) (-.f64 (sin.f64 x) x))
✓1.7b
(-.f64 (/.f64 (tan.f64 x) (-.f64 (sin.f64 x) x)) (/.f64 x (-.f64 (sin.f64 x) x)))
1.9b
(-.f64 (sin.f64 x) x)
Compiler

Compiled 54 to 10 computations (81.5% saved)

series8.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite140.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
633×log-prod_binary64
530×fma-def_binary64
329×pow2_binary64
292×fma-neg_binary64
289×log-div_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01042
123642
2384742
Stop Event
1×node limit
Counts
3 → 250
Calls
Call 1
Inputs
(-.f64 (/.f64 (tan.f64 x) (-.f64 (sin.f64 x) x)) (/.f64 x (-.f64 (sin.f64 x) x)))
(/.f64 (tan.f64 x) (-.f64 (sin.f64 x) x))
(/.f64 1 (-.f64 (/.f64 (tan.f64 x) (-.f64 (sin.f64 x) x)) (/.f64 x (-.f64 (sin.f64 x) x))))
Outputs
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simplify98.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
803×fma-def_binary64
476×times-frac_binary64
340×associate-/l*_binary64
266×associate-/r*_binary64
265×associate--l+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01591492
15011420
217861192
Stop Event
1×node limit
Counts
286 → 300
Calls
Call 1
Inputs
-2
(-.f64 (*.f64 -9/10 (pow.f64 x 2)) 2)
(-.f64 (+.f64 (*.f64 -513/1400 (pow.f64 x 4)) (*.f64 -9/10 (pow.f64 x 2))) 2)
(-.f64 (+.f64 (*.f64 -297/2000 (pow.f64 x 6)) (+.f64 (*.f64 -513/1400 (pow.f64 x 4)) (*.f64 -9/10 (pow.f64 x 2)))) 2)
1
(+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
(-.f64 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 2))))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2))))
(-.f64 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 2)))))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (cos.f64 x) (pow.f64 x 3))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))) (pow.f64 x 2))) (*.f64 -1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (cos.f64 x) (pow.f64 x 3)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))) (pow.f64 x 2))) (*.f64 -1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))))))
(/.f64 -6 (pow.f64 x 2))
(neg.f64 (+.f64 23/10 (*.f64 6 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (*.f64 -1271/1400 (pow.f64 x 2)) (+.f64 23/10 (*.f64 6 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 -46187/126000 (pow.f64 x 4)) (*.f64 -1271/1400 (pow.f64 x 2))) (+.f64 23/10 (*.f64 6 (/.f64 1 (pow.f64 x 2)))))
(*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (cos.f64 x) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (cos.f64 x) (pow.f64 x 4)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (cos.f64 x) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))))
(*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (cos.f64 x) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (cos.f64 x) (pow.f64 x 4)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (cos.f64 x) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))))
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 (sin.f64 x) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) x)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 (sin.f64 x) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) x)) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 (sin.f64 x) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) 2) (pow.f64 x 2))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 2))))
(-.f64 (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (cos.f64 x) (pow.f64 x 3))) (*.f64 -1 (/.f64 (+.f64 (sin.f64 x) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) x))))) (+.f64 (/.f64 (*.f64 (+.f64 (sin.f64 x) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 -1 (pow.f64 (+.f64 (sin.f64 x) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) 2))))) (pow.f64 x 3)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 (sin.f64 x) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) 2) (pow.f64 x 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (sin.f64 x) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) (-.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))) (pow.f64 x 3))) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 -1 (+.f64 (*.f64 -1 (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))) (pow.f64 x 2))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (cos.f64 x))) (pow.f64 (sin.f64 x) 3)) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 -1 (+.f64 (*.f64 -1 (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 -1 (+.f64 (*.f64 -1 (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (pow.f64 x 3))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))))))
Outputs
-2
(-.f64 (*.f64 -9/10 (pow.f64 x 2)) 2)
(fma.f64 -9/10 (*.f64 x x) -2)
(-.f64 (+.f64 (*.f64 -513/1400 (pow.f64 x 4)) (*.f64 -9/10 (pow.f64 x 2))) 2)
(+.f64 (*.f64 -513/1400 (pow.f64 x 4)) (fma.f64 -9/10 (*.f64 x x) -2))
(fma.f64 -513/1400 (pow.f64 x 4) (fma.f64 -9/10 (*.f64 x x) -2))
(fma.f64 -9/10 (*.f64 x x) (fma.f64 -513/1400 (pow.f64 x 4) -2))
(-.f64 (+.f64 (*.f64 -297/2000 (pow.f64 x 6)) (+.f64 (*.f64 -513/1400 (pow.f64 x 4)) (*.f64 -9/10 (pow.f64 x 2)))) 2)
(+.f64 (fma.f64 -297/2000 (pow.f64 x 6) (fma.f64 -513/1400 (pow.f64 x 4) (*.f64 -9/10 (*.f64 x x)))) -2)
(fma.f64 -297/2000 (pow.f64 x 6) (fma.f64 -513/1400 (pow.f64 x 4) (fma.f64 -9/10 (*.f64 x x) -2)))
(fma.f64 -297/2000 (pow.f64 x 6) (fma.f64 -9/10 (*.f64 x x) (fma.f64 -513/1400 (pow.f64 x 4) -2)))
1
(+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
(+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (neg.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))))
(+.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))
(-.f64 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 2))))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2))))
(+.f64 1 (-.f64 (+.f64 (/.f64 (sin.f64 x) x) (fma.f64 -1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (cos.f64 x)))))
(+.f64 1 (+.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (cos.f64 x))))))
(+.f64 1 (-.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) (/.f64 (*.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (*.f64 x x))))
(-.f64 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 2)))))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (cos.f64 x) (pow.f64 x 3))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2)))))
(-.f64 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (+.f64 (fma.f64 -1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (cos.f64 x) (pow.f64 x 3)))))
(+.f64 1 (-.f64 (+.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (cos.f64 x) (pow.f64 x 3))))))
(+.f64 1 (-.f64 (+.f64 (*.f64 (+.f64 (/.f64 -1 (cos.f64 x)) 1) (pow.f64 (/.f64 (sin.f64 x) x) 3)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (*.f64 x x))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)))
(+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (neg.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))))
(+.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))) (pow.f64 x 2))) (*.f64 -1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))))
(+.f64 1 (-.f64 (+.f64 (/.f64 (sin.f64 x) x) (fma.f64 -1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (cos.f64 x)))))
(+.f64 1 (+.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (cos.f64 x))))))
(+.f64 1 (-.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) (/.f64 (*.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (*.f64 x x))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (cos.f64 x) (pow.f64 x 3)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))) (pow.f64 x 2))) (*.f64 -1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))))))
(-.f64 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (+.f64 (fma.f64 -1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (cos.f64 x) (pow.f64 x 3)))))
(+.f64 1 (-.f64 (+.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (cos.f64 x) (pow.f64 x 3))))))
(+.f64 1 (-.f64 (+.f64 (*.f64 (+.f64 (/.f64 -1 (cos.f64 x)) 1) (pow.f64 (/.f64 (sin.f64 x) x) 3)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (*.f64 x x))))
(/.f64 -6 (pow.f64 x 2))
(/.f64 -6 (*.f64 x x))
(/.f64 (/.f64 -6 x) x)
(neg.f64 (+.f64 23/10 (*.f64 6 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 23/10 (/.f64 6 (*.f64 x x))))
(-.f64 -23/10 (/.f64 6 (*.f64 x x)))
(+.f64 -23/10 (/.f64 (/.f64 -6 x) x))
(-.f64 (*.f64 -1271/1400 (pow.f64 x 2)) (+.f64 23/10 (*.f64 6 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (*.f64 (*.f64 x x) -1271/1400) (+.f64 23/10 (/.f64 6 (*.f64 x x))))
(-.f64 (fma.f64 (*.f64 x x) -1271/1400 -23/10) (/.f64 6 (*.f64 x x)))
(+.f64 (fma.f64 x (*.f64 x -1271/1400) -23/10) (/.f64 (/.f64 -6 x) x))
(-.f64 (+.f64 (*.f64 -46187/126000 (pow.f64 x 4)) (*.f64 -1271/1400 (pow.f64 x 2))) (+.f64 23/10 (*.f64 6 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (fma.f64 -46187/126000 (pow.f64 x 4) (*.f64 (*.f64 x x) -1271/1400)) (+.f64 23/10 (/.f64 6 (*.f64 x x))))
(fma.f64 (pow.f64 x 4) -46187/126000 (-.f64 (fma.f64 (*.f64 x x) -1271/1400 -23/10) (/.f64 6 (*.f64 x x))))
(+.f64 (fma.f64 (pow.f64 x 4) -46187/126000 (fma.f64 x (*.f64 x -1271/1400) -23/10)) (/.f64 (/.f64 -6 x) x))
(*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(neg.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (cos.f64 x))) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))
(-.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (cos.f64 x))))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (/.f64 -1 x) (/.f64 (sin.f64 x) (*.f64 x x))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (cos.f64 x) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
(fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (cos.f64 x))) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (cos.f64 x) (pow.f64 x 3))) (neg.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))))
(-.f64 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (cos.f64 x) (pow.f64 x 3)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (cos.f64 x))))
(-.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (/.f64 -1 x) (/.f64 (sin.f64 x) (*.f64 x x)))) (/.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (cos.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (cos.f64 x) (pow.f64 x 4)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (cos.f64 x) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))))
(fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (cos.f64 x))) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (pow.f64 x 4) (cos.f64 x))) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (cos.f64 x) (pow.f64 x 3))) (neg.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 4)) (*.f64 (pow.f64 x 4) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (cos.f64 x) (pow.f64 x 3)))) (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (cos.f64 x))))
(+.f64 (*.f64 (/.f64 -1 (cos.f64 x)) (+.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 x 4)))) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (/.f64 -1 x) (/.f64 (sin.f64 x) (*.f64 x x)))))
(*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(neg.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(*.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (cos.f64 x))) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))
(-.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (cos.f64 x))))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (/.f64 -1 x) (/.f64 (sin.f64 x) (*.f64 x x))))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (cos.f64 x) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
(fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (cos.f64 x))) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (cos.f64 x) (pow.f64 x 3))) (neg.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))))
(-.f64 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (cos.f64 x) (pow.f64 x 3)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (cos.f64 x))))
(-.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (/.f64 -1 x) (/.f64 (sin.f64 x) (*.f64 x x)))) (/.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (cos.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (cos.f64 x) (pow.f64 x 4)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (cos.f64 x) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))))
(fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (cos.f64 x))) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (pow.f64 x 4) (cos.f64 x))) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (cos.f64 x) (pow.f64 x 3))) (neg.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 4)) (*.f64 (pow.f64 x 4) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (cos.f64 x) (pow.f64 x 3)))) (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (cos.f64 x))))
(+.f64 (*.f64 (/.f64 -1 (cos.f64 x)) (+.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 x 4)))) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (/.f64 -1 x) (/.f64 (sin.f64 x) (*.f64 x x)))))
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(fma.f64 (*.f64 x x) 9/40 -1/2)
(fma.f64 x (*.f64 x 9/40) -1/2)
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
(+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 (pow.f64 x 4) -27/2800)) -1/2)
(fma.f64 (*.f64 x x) 9/40 (fma.f64 (pow.f64 x 4) -27/2800 -1/2))
(fma.f64 x (*.f64 x 9/40) (fma.f64 (pow.f64 x 4) -27/2800 -1/2))
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)
(+.f64 (fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 (pow.f64 x 6) 27/112000))) -1/2)
(+.f64 (fma.f64 (pow.f64 x 4) -27/2800 (*.f64 (pow.f64 x 6) 27/112000)) (fma.f64 (*.f64 x x) 9/40 -1/2))
(fma.f64 x (*.f64 x 9/40) (fma.f64 (pow.f64 x 4) -27/2800 (fma.f64 (pow.f64 x 6) 27/112000 -1/2)))
1
(+.f64 1 (*.f64 -1 (/.f64 (+.f64 (sin.f64 x) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) x)))
(+.f64 1 (neg.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(-.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))
(+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 (sin.f64 x) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) x)) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 (sin.f64 x) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) 2) (pow.f64 x 2))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 2))))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (cos.f64 x)))) (fma.f64 -1 (/.f64 (pow.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) 2) (*.f64 x x)) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)))))
(-.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (cos.f64 x))) (-.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (/.f64 (pow.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) 2) (*.f64 x x))))
(+.f64 (+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)) (/.f64 (+.f64 (*.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (pow.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) 2)) (*.f64 x x)))
(-.f64 (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 x) (pow.f64 x 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (cos.f64 x) (pow.f64 x 3))) (*.f64 -1 (/.f64 (+.f64 (sin.f64 x) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) x))))) (+.f64 (/.f64 (*.f64 (+.f64 (sin.f64 x) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 -1 (pow.f64 (+.f64 (sin.f64 x) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) 2))))) (pow.f64 x 3)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 (sin.f64 x) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) 2) (pow.f64 x 2))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (sin.f64 x) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) (-.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))) (pow.f64 x 3))) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))))))
(+.f64 1 (-.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (cos.f64 x))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (cos.f64 x) (pow.f64 x 3))) (neg.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))) (+.f64 (/.f64 (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) (+.f64 (pow.f64 (sin.f64 x) 2) (neg.f64 (pow.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) 2))))) (pow.f64 x 3)) (+.f64 (fma.f64 -1 (/.f64 (pow.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) 2) (*.f64 x x)) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) (fma.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (pow.f64 x 3) (-.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))) (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))))))
(+.f64 1 (+.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (cos.f64 x) (pow.f64 x 3))) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (cos.f64 x))) (+.f64 (*.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 x 3)) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) 2)))) (+.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (/.f64 (pow.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) 2) (*.f64 x x))) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (*.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 x 3)) (-.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))))))))
(+.f64 1 (+.f64 (+.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (cos.f64 x)) (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)) (-.f64 (/.f64 (+.f64 (*.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (pow.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) 2)) (*.f64 x x)) (+.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (*.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 x 3)) (*.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))))) (*.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 x 3)) (+.f64 (*.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (pow.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) 2)))))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(+.f64 1 (neg.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(-.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))
(+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 -1 (+.f64 (*.f64 -1 (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))) (pow.f64 x 2))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (cos.f64 x)))) (fma.f64 -1 (/.f64 (pow.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) 2) (*.f64 x x)) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)))))
(-.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (cos.f64 x))) (-.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (/.f64 (pow.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) 2) (*.f64 x x))))
(+.f64 (+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)) (/.f64 (+.f64 (*.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (pow.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) 2)) (*.f64 x x)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (cos.f64 x))) (pow.f64 (sin.f64 x) 3)) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 -1 (+.f64 (*.f64 -1 (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 -1 (+.f64 (*.f64 -1 (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (pow.f64 x 3))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))))))
(fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (cos.f64 x)) (pow.f64 (sin.f64 x) 3)) (pow.f64 x 3)) (fma.f64 -1 (/.f64 (fma.f64 -1 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))) (/.f64 (pow.f64 x 3) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))) (+.f64 1 (fma.f64 -1 (/.f64 (fma.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (neg.f64 (fma.f64 -1 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))) (*.f64 x x)) (*.f64 -1 (+.f64 (/.f64 (fma.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (neg.f64 (fma.f64 -1 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))))) (/.f64 (pow.f64 x 3) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))))))
(-.f64 (-.f64 (+.f64 1 (-.f64 (-.f64 (/.f64 (neg.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) x) (/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) (pow.f64 (sin.f64 x) 2))) (/.f64 (pow.f64 x 3) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))))) (/.f64 (-.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) (pow.f64 (sin.f64 x) 2))) (*.f64 x x)))) (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 x 3) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))))) (/.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (/.f64 (pow.f64 (sin.f64 x) 3) (cos.f64 x))) (pow.f64 x 3)))
(+.f64 1 (-.f64 (+.f64 (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (*.f64 (+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)) (/.f64 (-.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) 2)) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))) (*.f64 x x)))) (*.f64 (/.f64 (*.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (pow.f64 x 3)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))) (*.f64 (+.f64 (/.f64 -1 (cos.f64 x)) 1) (pow.f64 (/.f64 (sin.f64 x) x) 3))))

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))
1.9b
(-.f64 (tan.f64 x) x)
Compiler

Compiled 17 to 5 computations (70.6% saved)

series5.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@inf
(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))
1.0ms
x
@0
(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))
0.0ms
x
@-inf
(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))

rewrite56.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
724×pow1_binary64
676×add-log-exp_binary64
675×log1p-expm1-u_binary64
675×expm1-log1p-u_binary64
661×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0611
11439
223349
Stop Event
1×node limit
Counts
1 → 38
Calls
Call 1
Inputs
(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 x (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (+.f64 x (tan.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (+.f64 x (tan.f64 x))) (/.f64 x (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (+.f64 (neg.f64 (tan.f64 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 x (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 2) (cbrt.f64 (/.f64 x (+.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 (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) (sqrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x (tan.f64 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (/.f64 x (cbrt.f64 (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 x (sqrt.f64 (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (/.f64 x (cbrt.f64 (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 x (sqrt.f64 (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (+.f64 x (tan.f64 x)) 2)) (+.f64 x (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x (tan.f64 x)) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (tan.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (+.f64 x (tan.f64 x)))))))))

simplify36.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
793×associate-/l/_binary64
760×fma-def_binary64
736×associate-*l*_binary64
644×associate-*r*_binary64
410×associate-*l/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
041278
1114276
2326270
31704240
Stop Event
1×node limit
Counts
50 → 53
Calls
Call 1
Inputs
(/.f64 -3 (pow.f64 x 2))
(-.f64 6/5 (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1/175 (pow.f64 x 2)) 6/5) (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1/175 (pow.f64 x 2)) (+.f64 6/5 (*.f64 2/7875 (pow.f64 x 4)))) (*.f64 3 (/.f64 1 (pow.f64 x 2))))
1
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
1
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
Outputs
(/.f64 -3 (pow.f64 x 2))
(/.f64 -3 (*.f64 x x))
(-.f64 6/5 (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 6/5 (/.f64 3 (*.f64 x x)))
(+.f64 6/5 (/.f64 -3 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 1/175 (pow.f64 x 2)) 6/5) (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 1/175 (*.f64 x x) 6/5) (/.f64 3 (*.f64 x x)))
(+.f64 (fma.f64 (*.f64 x x) 1/175 6/5) (/.f64 -3 (*.f64 x x)))
(+.f64 6/5 (fma.f64 (*.f64 x x) 1/175 (/.f64 -3 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 1/175 (pow.f64 x 2)) (+.f64 6/5 (*.f64 2/7875 (pow.f64 x 4)))) (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (fma.f64 1/175 (*.f64 x x) 6/5) (*.f64 2/7875 (pow.f64 x 4))) (/.f64 3 (*.f64 x x)))
(+.f64 (fma.f64 (*.f64 x x) 1/175 (fma.f64 2/7875 (pow.f64 x 4) 6/5)) (/.f64 -3 (*.f64 x x)))
(+.f64 (fma.f64 2/7875 (pow.f64 x 4) 6/5) (fma.f64 (*.f64 x x) 1/175 (/.f64 -3 (*.f64 x x))))
1
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))
(+.f64 1 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2))))
(+.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x)) (+.f64 1 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (pow.f64 (cos.f64 x) 2))))
(+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (+.f64 1 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 x x))))
(+.f64 1 (*.f64 (+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))))))
(+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (pow.f64 (cos.f64 x) 2)) (+.f64 (+.f64 1 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3)))))
(+.f64 1 (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (+.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3) (pow.f64 x 3)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 x x)))))
(+.f64 1 (+.f64 (pow.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) 3) (*.f64 (+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))))
1
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))
(+.f64 1 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2))))
(+.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x)) (+.f64 1 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (pow.f64 (cos.f64 x) 2))))
(+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (+.f64 1 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 x x))))
(+.f64 1 (*.f64 (+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))))))
(+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (pow.f64 (cos.f64 x) 2)) (+.f64 (+.f64 1 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3)))))
(+.f64 1 (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (+.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3) (pow.f64 x 3)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 x x)))))
(+.f64 1 (+.f64 (pow.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) 3) (*.f64 (+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))))

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (exp.f64 (log.f64 (-.f64 (sin.f64 x) x))) (-.f64 (tan.f64 x) x))
✓1.3b
(exp.f64 (log.f64 (-.f64 (sin.f64 x) x)))
1.9b
(-.f64 (tan.f64 x) x)
1.9b
(-.f64 (sin.f64 x) x)
Compiler

Compiled 36 to 8 computations (77.8% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite77.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
786×prod-diff_binary64
482×log-prod_binary64
330×fma-def_binary64
323×pow-prod-down_binary64
263×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0920
119020
2279220
Stop Event
1×node limit
Counts
2 → 159
Calls
Call 1
Inputs
(exp.f64 (log.f64 (-.f64 (sin.f64 x) x)))
(/.f64 (exp.f64 (log.f64 (-.f64 (sin.f64 x) x))) (-.f64 (tan.f64 x) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 x) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 x) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 x) x) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 x) x) (fma.f64 -1 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 x) x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 x) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sin.f64 x) x) (/.f64 1 (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 2) (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (*.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (/.f64 1 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) (sqrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (*.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (/.f64 1 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 (sin.f64 x) x)) (/.f64 1 (neg.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) 1) (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) -2) (/.f64 (-.f64 (sin.f64 x) x) (cbrt.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (cbrt.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (tan.f64 x) x) -1/2) (/.f64 (-.f64 (sin.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (sqrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (sqrt.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (fma.f64 x (+.f64 x (tan.f64 x)) (pow.f64 (tan.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (+.f64 x (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 (sin.f64 x) x) 3) (pow.f64 (-.f64 (tan.f64 x) x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 (sin.f64 x) x) 3) (pow.f64 (-.f64 (tan.f64 x) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 1))))))

simplify54.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
597×div-sub_binary64
510×times-frac_binary64
383×fma-def_binary64
282×associate-/l*_binary64
217×distribute-neg-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
086544
1261468
2866434
34526406
Stop Event
1×node limit
Counts
183 → 186
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 1/120 (pow.f64 x 5)) (*.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 1/120 (pow.f64 x 5)) (*.f64 -1/5040 (pow.f64 x 7)))))
(*.f64 -1 x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (sin.f64 x) (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (sin.f64 x) (*.f64 -1 x))
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2)))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) 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 1/120 (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) (*.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 1/120 (pow.f64 x 5)) (*.f64 -1/5040 (pow.f64 x 7)))))
(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 -1/6 (pow.f64 x 3) (fma.f64 -1/5040 (pow.f64 x 7) (fma.f64 1/120 (pow.f64 x 5) (*.f64 1/362880 (pow.f64 x 9)))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (neg.f64 x) (sin.f64 x))
(-.f64 (sin.f64 x) x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (neg.f64 x) (sin.f64 x))
(-.f64 (sin.f64 x) x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (neg.f64 x) (sin.f64 x))
(-.f64 (sin.f64 x) x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (neg.f64 x) (sin.f64 x))
(-.f64 (sin.f64 x) x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (neg.f64 x) (sin.f64 x))
(-.f64 (sin.f64 x) x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (neg.f64 x) (sin.f64 x))
(-.f64 (sin.f64 x) x)
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(fma.f64 x (*.f64 x 9/40) -1/2)
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
(+.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2)
(fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))
(fma.f64 x (*.f64 x 9/40) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))
(-.f64 (+.f64 (*.f64 9/40 (pow.f64 x 2)) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)
(+.f64 (fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 27/112000 (pow.f64 x 6)))) -1/2)
(+.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 27/112000 (pow.f64 x 6))) (fma.f64 9/40 (*.f64 x x) -1/2))
(fma.f64 x (*.f64 x 9/40) (fma.f64 -27/2800 (pow.f64 x 4) (fma.f64 27/112000 (pow.f64 x 6) -1/2)))
1
(-.f64 (+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 1 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))
(-.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))
(+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))
(fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1)
(+.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (*.f64 x x)) (/.f64 -1 x))))
(+.f64 1 (*.f64 (+.f64 1 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x))) (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)))
(-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (cos.f64 x) (pow.f64 x 2)))))) (*.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 x 3))) (+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))))
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (fma.f64 -1 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 x 3)) (fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1))
(+.f64 1 (+.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (+.f64 (/.f64 (sin.f64 x) (*.f64 (*.f64 x x) (cos.f64 x))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 x 3))))))
(+.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (+.f64 1 (*.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (*.f64 x x) (sin.f64 x))) (-.f64 (/.f64 -1 (cos.f64 x)) (/.f64 (sin.f64 x) (*.f64 x (pow.f64 (cos.f64 x) 2)))))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(+.f64 1 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))
(-.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))
(+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))
(+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))
(fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1)
(+.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (*.f64 x x)) (/.f64 -1 x))))
(+.f64 1 (*.f64 (+.f64 1 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x))) (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))))
(+.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 x 3))) (+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))))
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (fma.f64 -1 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 x 3)) (fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1))
(+.f64 1 (+.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (+.f64 (/.f64 (sin.f64 x) (*.f64 (*.f64 x x) (cos.f64 x))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 x 3))))))
(+.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (+.f64 1 (*.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (*.f64 x x) (sin.f64 x))) (-.f64 (/.f64 -1 (cos.f64 x)) (/.f64 (sin.f64 x) (*.f64 x (pow.f64 (cos.f64 x) 2)))))))

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(cbrt.f64 (fma.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)) (neg.f64 x)))
✓0.4b
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)) (neg.f64 x))) 3)
1.9b
(fma.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)) (neg.f64 x))
1.9b
(-.f64 (sin.f64 x) x)
Compiler

Compiled 66 to 29 computations (56.1% saved)

series3.0ms (0%)

Counts
2 → 8
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)) (neg.f64 x))) 3)
1.0ms
x
@inf
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)) (neg.f64 x))) 3)
1.0ms
x
@-inf
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)) (neg.f64 x))) 3)
0.0ms
x
@0
(cbrt.f64 (fma.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)) (neg.f64 x)))
0.0ms
x
@inf
(cbrt.f64 (fma.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)) (neg.f64 x)))

rewrite64.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
817×pow1_binary64
763×add-log-exp_binary64
762×log1p-expm1-u_binary64
762×expm1-log1p-u_binary64
744×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01130
122624
2239924
Stop Event
1×node limit
Counts
2 → 46
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)) (neg.f64 x))) 3)
(cbrt.f64 (fma.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)) (neg.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 0) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (/.f64 (sin.f64 x) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (/.f64 (sin.f64 x) (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))) 2) (cbrt.f64 (+.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (sin.f64 x) (cos.f64 x))))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))) (sqrt.f64 (+.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x (/.f64 (sin.f64 x) (cos.f64 x))) 1/6) (*.f64 (pow.f64 (+.f64 x (/.f64 (sin.f64 x) (cos.f64 x))) 1/6) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))) 2)) 3) (cbrt.f64 (+.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 x (/.f64 (sin.f64 x) (cos.f64 x))) 1/6) 3) (pow.f64 (pow.f64 (+.f64 x (/.f64 (sin.f64 x) (cos.f64 x))) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))) 2) 1) (cbrt.f64 (+.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))) 2))) (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (sin.f64 x) (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))) 2) (pow.f64 (+.f64 x (/.f64 (sin.f64 x) (cos.f64 x))) 1/6)) (pow.f64 (+.f64 x (/.f64 (sin.f64 x) (cos.f64 x))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3) (pow.f64 x 3)) (+.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 (*.f64 x x) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (+.f64 x (/.f64 (sin.f64 x) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (/.f64 (sin.f64 x) (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (/.f64 (sin.f64 x) (cos.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)) x)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (+.f64 x (/.f64 (sin.f64 x) (cos.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (+.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (sin.f64 x) (cos.f64 x))))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (sin.f64 x) (cos.f64 x))))) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (sin.f64 x) (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x (/.f64 (sin.f64 x) (cos.f64 x))) 1/6) (pow.f64 (+.f64 x (/.f64 (sin.f64 x) (cos.f64 x))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (sin.f64 x) (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))) 1/3) (pow.f64 (sqrt.f64 (+.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (/.f64 (sin.f64 x) (cos.f64 x))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (sin.f64 x) (cos.f64 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (/.f64 (sin.f64 x) (cos.f64 x))) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 (sin.f64 x) (cos.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (+.f64 x (/.f64 (sin.f64 x) (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 x (/.f64 (sin.f64 x) (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 x (/.f64 (sin.f64 x) (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (+.f64 x (/.f64 (sin.f64 x) (cos.f64 x))))))))))

simplify41.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
566×associate-+l+_binary64
542×times-frac_binary64
509×associate-+r+_binary64
448×associate-/l*_binary64
438×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
073327
1191280
2552266
31999221
Stop Event
1×node limit
Counts
54 → 61
Calls
Call 1
Inputs
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 113/4725 (*.f64 (+.f64 (*.f64 4/2025 (/.f64 1 (pow.f64 (cbrt.f64 1/3) 4))) (*.f64 38/1575 (/.f64 1 (cbrt.f64 1/3)))) (cbrt.f64 1/3))) (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5))))
(+.f64 (*.f64 (+.f64 (*.f64 1/3 (-.f64 866/70875 (*.f64 8/91125 (/.f64 1 (pow.f64 (cbrt.f64 1/3) 6))))) (+.f64 76/23625 (+.f64 (*.f64 (+.f64 (*.f64 76/70875 (/.f64 1 (pow.f64 (cbrt.f64 1/3) 4))) (*.f64 2/3 (/.f64 (-.f64 866/70875 (*.f64 8/91125 (/.f64 1 (pow.f64 (cbrt.f64 1/3) 6)))) (cbrt.f64 1/3)))) (cbrt.f64 1/3)) (*.f64 2/45 (/.f64 (+.f64 (*.f64 4/2025 (/.f64 1 (pow.f64 (cbrt.f64 1/3) 4))) (*.f64 38/1575 (/.f64 1 (cbrt.f64 1/3)))) (pow.f64 (cbrt.f64 1/3) 2)))))) (pow.f64 x 9)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 113/4725 (*.f64 (+.f64 (*.f64 4/2025 (/.f64 1 (pow.f64 (cbrt.f64 1/3) 4))) (*.f64 38/1575 (/.f64 1 (cbrt.f64 1/3)))) (cbrt.f64 1/3))) (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))))
(*.f64 (cbrt.f64 1/3) x)
(+.f64 (*.f64 (cbrt.f64 1/3) x) (*.f64 2/45 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 1/3) 2))))
(+.f64 (*.f64 (cbrt.f64 1/3) x) (+.f64 (*.f64 2/45 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 1/3) 2))) (*.f64 19/1575 (/.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 1/3) 2)))))
(+.f64 (*.f64 (cbrt.f64 1/3) x) (+.f64 (*.f64 2/45 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 1/3) 2))) (+.f64 (*.f64 19/1575 (/.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 1/3) 2))) (*.f64 1/3 (/.f64 (*.f64 (-.f64 866/70875 (*.f64 8/91125 (/.f64 1 (pow.f64 (cbrt.f64 1/3) 6)))) (pow.f64 x 7)) (pow.f64 (cbrt.f64 1/3) 2))))))
Outputs
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5)))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 113/4725 (*.f64 (+.f64 (*.f64 4/2025 (/.f64 1 (pow.f64 (cbrt.f64 1/3) 4))) (*.f64 38/1575 (/.f64 1 (cbrt.f64 1/3)))) (cbrt.f64 1/3))) (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 (+.f64 113/4725 (*.f64 (cbrt.f64 1/3) (+.f64 (/.f64 4/2025 (pow.f64 (cbrt.f64 1/3) 4)) (/.f64 38/1575 (cbrt.f64 1/3))))) (pow.f64 x 7) (*.f64 2/15 (pow.f64 x 5))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 (fma.f64 (cbrt.f64 1/3) (+.f64 (/.f64 4/2025 (*.f64 1/3 (cbrt.f64 1/3))) (/.f64 38/1575 (cbrt.f64 1/3))) 113/4725) (pow.f64 x 7) (*.f64 2/15 (pow.f64 x 5))))
(fma.f64 (fma.f64 (cbrt.f64 1/3) (+.f64 (/.f64 4/675 (cbrt.f64 1/3)) (/.f64 38/1575 (cbrt.f64 1/3))) 113/4725) (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) (*.f64 17/315 (pow.f64 x 7))))
(+.f64 (*.f64 (+.f64 (*.f64 1/3 (-.f64 866/70875 (*.f64 8/91125 (/.f64 1 (pow.f64 (cbrt.f64 1/3) 6))))) (+.f64 76/23625 (+.f64 (*.f64 (+.f64 (*.f64 76/70875 (/.f64 1 (pow.f64 (cbrt.f64 1/3) 4))) (*.f64 2/3 (/.f64 (-.f64 866/70875 (*.f64 8/91125 (/.f64 1 (pow.f64 (cbrt.f64 1/3) 6)))) (cbrt.f64 1/3)))) (cbrt.f64 1/3)) (*.f64 2/45 (/.f64 (+.f64 (*.f64 4/2025 (/.f64 1 (pow.f64 (cbrt.f64 1/3) 4))) (*.f64 38/1575 (/.f64 1 (cbrt.f64 1/3)))) (pow.f64 (cbrt.f64 1/3) 2)))))) (pow.f64 x 9)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 113/4725 (*.f64 (+.f64 (*.f64 4/2025 (/.f64 1 (pow.f64 (cbrt.f64 1/3) 4))) (*.f64 38/1575 (/.f64 1 (cbrt.f64 1/3)))) (cbrt.f64 1/3))) (pow.f64 x 7)) (*.f64 2/15 (pow.f64 x 5)))))
(fma.f64 (fma.f64 1/3 (-.f64 866/70875 (/.f64 8/91125 (pow.f64 (cbrt.f64 1/3) 6))) (+.f64 76/23625 (fma.f64 (+.f64 (/.f64 76/70875 (pow.f64 (cbrt.f64 1/3) 4)) (*.f64 2/3 (/.f64 (-.f64 866/70875 (/.f64 8/91125 (pow.f64 (cbrt.f64 1/3) 6))) (cbrt.f64 1/3)))) (cbrt.f64 1/3) (*.f64 2/45 (/.f64 (+.f64 (/.f64 4/2025 (pow.f64 (cbrt.f64 1/3) 4)) (/.f64 38/1575 (cbrt.f64 1/3))) (pow.f64 (cbrt.f64 1/3) 2)))))) (pow.f64 x 9) (fma.f64 1/3 (pow.f64 x 3) (fma.f64 (+.f64 113/4725 (*.f64 (cbrt.f64 1/3) (+.f64 (/.f64 4/2025 (pow.f64 (cbrt.f64 1/3) 4)) (/.f64 38/1575 (cbrt.f64 1/3))))) (pow.f64 x 7) (*.f64 2/15 (pow.f64 x 5)))))
(fma.f64 (+.f64 (fma.f64 (cbrt.f64 1/3) (+.f64 (/.f64 76/70875 (*.f64 1/3 (cbrt.f64 1/3))) (/.f64 4/525 (cbrt.f64 1/3))) (*.f64 2/45 (/.f64 (+.f64 (/.f64 4/2025 (*.f64 1/3 (cbrt.f64 1/3))) (/.f64 38/1575 (cbrt.f64 1/3))) (pow.f64 (cbrt.f64 1/3) 2)))) 166/23625) (pow.f64 x 9) (fma.f64 1/3 (pow.f64 x 3) (fma.f64 (fma.f64 (cbrt.f64 1/3) (+.f64 (/.f64 4/2025 (*.f64 1/3 (cbrt.f64 1/3))) (/.f64 38/1575 (cbrt.f64 1/3))) 113/4725) (pow.f64 x 7) (*.f64 2/15 (pow.f64 x 5)))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 (+.f64 (fma.f64 (cbrt.f64 1/3) (+.f64 (/.f64 76/23625 (cbrt.f64 1/3)) (/.f64 4/525 (cbrt.f64 1/3))) (/.f64 (fma.f64 (/.f64 4/675 (cbrt.f64 1/3)) 2/45 (/.f64 76/70875 (cbrt.f64 1/3))) (pow.f64 (cbrt.f64 1/3) 2))) 166/23625) (pow.f64 x 9) (fma.f64 (fma.f64 (cbrt.f64 1/3) (+.f64 (/.f64 4/675 (cbrt.f64 1/3)) (/.f64 38/1575 (cbrt.f64 1/3))) 113/4725) (pow.f64 x 7) (*.f64 2/15 (pow.f64 x 5)))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 (+.f64 (/.f64 76/70875 (cbrt.f64 1/3)) (/.f64 8/30375 (cbrt.f64 1/3))) (pow.f64 (cbrt.f64 1/3) 2)) (+.f64 (*.f64 (cbrt.f64 1/3) (/.f64 4/525 (cbrt.f64 1/3))) 242/23625)) (pow.f64 x 9) (fma.f64 2/15 (pow.f64 x 5) (*.f64 17/315 (pow.f64 x 7)))))
(*.f64 (cbrt.f64 1/3) x)
(*.f64 x (cbrt.f64 1/3))
(+.f64 (*.f64 (cbrt.f64 1/3) x) (*.f64 2/45 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 1/3) 2))))
(fma.f64 (cbrt.f64 1/3) x (*.f64 2/45 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 1/3) 2))))
(fma.f64 x (cbrt.f64 1/3) (*.f64 2/45 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 1/3) 2))))
(fma.f64 2/45 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 1/3) 2)) (*.f64 x (cbrt.f64 1/3)))
(+.f64 (*.f64 (cbrt.f64 1/3) x) (+.f64 (*.f64 2/45 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 1/3) 2))) (*.f64 19/1575 (/.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 1/3) 2)))))
(fma.f64 (cbrt.f64 1/3) x (fma.f64 2/45 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 1/3) 2)) (*.f64 19/1575 (/.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 1/3) 2)))))
(fma.f64 x (cbrt.f64 1/3) (fma.f64 2/45 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 1/3) 2)) (*.f64 19/1575 (/.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 1/3) 2)))))
(fma.f64 x (cbrt.f64 1/3) (fma.f64 2/45 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 1/3) 2)) (/.f64 (pow.f64 x 5) (/.f64 (pow.f64 (cbrt.f64 1/3) 2) 19/1575))))
(fma.f64 x (cbrt.f64 1/3) (fma.f64 2/45 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 1/3) 2)) (/.f64 19/1575 (/.f64 (pow.f64 (cbrt.f64 1/3) 2) (pow.f64 x 5)))))
(+.f64 (*.f64 (cbrt.f64 1/3) x) (+.f64 (*.f64 2/45 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 1/3) 2))) (+.f64 (*.f64 19/1575 (/.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 1/3) 2))) (*.f64 1/3 (/.f64 (*.f64 (-.f64 866/70875 (*.f64 8/91125 (/.f64 1 (pow.f64 (cbrt.f64 1/3) 6)))) (pow.f64 x 7)) (pow.f64 (cbrt.f64 1/3) 2))))))
(fma.f64 (cbrt.f64 1/3) x (fma.f64 2/45 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 1/3) 2)) (fma.f64 19/1575 (/.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 1/3) 2)) (*.f64 1/3 (/.f64 (-.f64 866/70875 (/.f64 8/91125 (pow.f64 (cbrt.f64 1/3) 6))) (/.f64 (pow.f64 (cbrt.f64 1/3) 2) (pow.f64 x 7)))))))
(fma.f64 x (cbrt.f64 1/3) (fma.f64 2/45 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 1/3) 2)) (fma.f64 19/1575 (/.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 1/3) 2)) (/.f64 2/525 (/.f64 (pow.f64 (cbrt.f64 1/3) 2) (pow.f64 x 7))))))
(fma.f64 x (cbrt.f64 1/3) (fma.f64 2/45 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 1/3) 2)) (fma.f64 19/1575 (/.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 1/3) 2)) (/.f64 (*.f64 (pow.f64 x 7) 2/525) (pow.f64 (cbrt.f64 1/3) 2)))))
(fma.f64 x (cbrt.f64 1/3) (fma.f64 2/45 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 1/3) 2)) (fma.f64 19/1575 (/.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 1/3) 2)) (*.f64 (/.f64 2/525 (pow.f64 (cbrt.f64 1/3) 2)) (pow.f64 x 7)))))

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.4b
(pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 3)
1.9b
(-.f64 (tan.f64 x) x)
1.9b
(-.f64 (sin.f64 x) x)
✓2.3b
(log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 x) x))))
Compiler

Compiled 83 to 16 computations (80.7% saved)

series59.0ms (0.3%)

Counts
1 → 8
Calls

3 calls:

TimeVariablePointExpression
41.0ms
x
@inf
(log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 x) x))))
16.0ms
x
@-inf
(log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 x) x))))
2.0ms
x
@0
(log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 x) x))))

rewrite57.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
751×pow1_binary64
697×add-log-exp_binary64
697×log1p-expm1-u_binary64
697×expm1-log1p-u_binary64
680×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0712
11449
218969
Stop Event
1×node limit
Counts
1 → 20
Calls
Call 1
Inputs
(log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 x) x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 (-.f64 (sin.f64 x) x)) 1/4)) (log.f64 (pow.f64 (exp.f64 (-.f64 (sin.f64 x) x)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 (sin.f64 x) x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 x) x)))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (-.f64 (sin.f64 x) x) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sin.f64 x) x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (sin.f64 x) x) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (-.f64 (sin.f64 x) x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 (sin.f64 x) x) 1/2)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 (sin.f64 x) x) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 (sin.f64 x) x) 1/2)) 2) (cbrt.f64 (*.f64 (-.f64 (sin.f64 x) x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (-.f64 (sin.f64 x) x) 1/2)) (sqrt.f64 (*.f64 (-.f64 (sin.f64 x) x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 (sin.f64 x) x) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 (sin.f64 x) x) 1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 (sin.f64 x) x) 1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 (sin.f64 x) x) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 (sin.f64 x) x) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 (sin.f64 x) x) 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 (sin.f64 x) x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 (sin.f64 x) x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 (sin.f64 x) x) 1/2)))))))

simplify61.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
871×fma-def_binary64
852×unswap-sqr_binary64
842×times-frac_binary64
424×associate-/l/_binary64
412×associate-*l*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030126
174118
2165118
3423118
4825118
51903118
62832118
74311118
85549118
Stop Event
1×node limit
Counts
28 → 29
Calls
Call 1
Inputs
(*.f64 -1/12 (pow.f64 x 3))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 -1/12 (pow.f64 x 3)))
(+.f64 (*.f64 -1/10080 (pow.f64 x 7)) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 -1/12 (pow.f64 x 3))))
(+.f64 (*.f64 -1/10080 (pow.f64 x 7)) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 -1/12 (pow.f64 x 3)) (*.f64 1/725760 (pow.f64 x 9)))))
(log.f64 (sqrt.f64 (exp.f64 (+.f64 (sin.f64 x) (*.f64 -1 x)))))
(log.f64 (sqrt.f64 (exp.f64 (+.f64 (sin.f64 x) (*.f64 -1 x)))))
(log.f64 (sqrt.f64 (exp.f64 (+.f64 (sin.f64 x) (*.f64 -1 x)))))
(log.f64 (sqrt.f64 (exp.f64 (+.f64 (sin.f64 x) (*.f64 -1 x)))))
Outputs
(*.f64 -1/12 (pow.f64 x 3))
(+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 -1/12 (pow.f64 x 3)))
(fma.f64 1/240 (pow.f64 x 5) (*.f64 -1/12 (pow.f64 x 3)))
(fma.f64 -1/12 (pow.f64 x 3) (*.f64 1/240 (pow.f64 x 5)))
(+.f64 (*.f64 -1/10080 (pow.f64 x 7)) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (*.f64 -1/12 (pow.f64 x 3))))
(fma.f64 -1/10080 (pow.f64 x 7) (fma.f64 1/240 (pow.f64 x 5) (*.f64 -1/12 (pow.f64 x 3))))
(fma.f64 -1/10080 (pow.f64 x 7) (fma.f64 -1/12 (pow.f64 x 3) (*.f64 1/240 (pow.f64 x 5))))
(fma.f64 -1/12 (pow.f64 x 3) (fma.f64 -1/10080 (pow.f64 x 7) (*.f64 1/240 (pow.f64 x 5))))
(fma.f64 -1/12 (pow.f64 x 3) (fma.f64 1/240 (pow.f64 x 5) (*.f64 -1/10080 (pow.f64 x 7))))
(+.f64 (*.f64 -1/10080 (pow.f64 x 7)) (+.f64 (*.f64 1/240 (pow.f64 x 5)) (+.f64 (*.f64 -1/12 (pow.f64 x 3)) (*.f64 1/725760 (pow.f64 x 9)))))
(fma.f64 -1/10080 (pow.f64 x 7) (fma.f64 1/240 (pow.f64 x 5) (fma.f64 -1/12 (pow.f64 x 3) (*.f64 1/725760 (pow.f64 x 9)))))
(fma.f64 1/240 (pow.f64 x 5) (fma.f64 -1/10080 (pow.f64 x 7) (fma.f64 -1/12 (pow.f64 x 3) (*.f64 1/725760 (pow.f64 x 9)))))
(fma.f64 1/240 (pow.f64 x 5) (fma.f64 -1/12 (pow.f64 x 3) (fma.f64 -1/10080 (pow.f64 x 7) (*.f64 1/725760 (pow.f64 x 9)))))
(fma.f64 -1/12 (pow.f64 x 3) (fma.f64 1/725760 (pow.f64 x 9) (fma.f64 1/240 (pow.f64 x 5) (*.f64 -1/10080 (pow.f64 x 7)))))
(fma.f64 -1/12 (pow.f64 x 3) (fma.f64 1/240 (pow.f64 x 5) (fma.f64 -1/10080 (pow.f64 x 7) (*.f64 1/725760 (pow.f64 x 9)))))
(log.f64 (sqrt.f64 (exp.f64 (+.f64 (sin.f64 x) (*.f64 -1 x)))))
(log.f64 (sqrt.f64 (exp.f64 (+.f64 (sin.f64 x) (neg.f64 x)))))
(log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 x) x))))
(log.f64 (sqrt.f64 (exp.f64 (+.f64 (sin.f64 x) (*.f64 -1 x)))))
(log.f64 (sqrt.f64 (exp.f64 (+.f64 (sin.f64 x) (neg.f64 x)))))
(log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 x) x))))
(log.f64 (sqrt.f64 (exp.f64 (+.f64 (sin.f64 x) (*.f64 -1 x)))))
(log.f64 (sqrt.f64 (exp.f64 (+.f64 (sin.f64 x) (neg.f64 x)))))
(log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 x) x))))
(log.f64 (sqrt.f64 (exp.f64 (+.f64 (sin.f64 x) (*.f64 -1 x)))))
(log.f64 (sqrt.f64 (exp.f64 (+.f64 (sin.f64 x) (neg.f64 x)))))
(log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 x) x))))

eval613.0ms (3.1%)

Compiler

Compiled 43092 to 14708 computations (65.9% saved)

prune318.0ms (1.6%)

Pruning

17 alts after pruning (6 fresh and 11 done)

PrunedKeptTotal
New174131744
Fresh336
Picked011
Done01010
Total1744171761
Error
0b
Counts
1761 → 17
Alt Table
Click to see full alt table
StatusErrorProgram
31.4b
(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 x)))
✓51.3b
(/.f64 (exp.f64 (log.f64 (-.f64 (sin.f64 x) x))) (-.f64 (tan.f64 x) x))
63.6b
(/.f64 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 x) x))))) (exp.f64 (log.f64 (-.f64 (tan.f64 x) x))))
✓30.0b
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
✓31.4b
(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))
✓30.5b
(+.f64 1 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x))
52.4b
(/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)) (neg.f64 x))) 3))
✓30.5b
(fma.f64 (/.f64 (sin.f64 x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (+.f64 x (tan.f64 x)) (neg.f64 (/.f64 x (-.f64 (tan.f64 x) x))))
33.1b
-1/2
31.0b
1
✓63.6b
(/.f64 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 x) x))))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 3))
✓32.5b
(+.f64 (*.f64 x (*.f64 x 9/40)) -1/2)
✓30.0b
(/.f64 1 (-.f64 (/.f64 (tan.f64 x) (-.f64 (sin.f64 x) x)) (/.f64 x (-.f64 (sin.f64 x) x))))
30.2b
(/.f64 1 (/.f64 (fma.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)) (neg.f64 x)) (-.f64 (sin.f64 x) x)))
✓30.2b
(/.f64 (-.f64 (sin.f64 x) x) (fma.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)) (neg.f64 x)))
✓30.9b
(/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)) (neg.f64 x))) 3))
✓30.0b
(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)))
Compiler

Compiled 245 to 151 computations (38.4% saved)

regimes67.0ms (0.3%)

Counts
31 → 3
Calls
Call 1
Inputs
1
-1/2
1
-1/2
-1/2
1
(+.f64 (*.f64 x (*.f64 x 9/40)) -1/2)
(fma.f64 x (*.f64 x 9/40) -1/2)
(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))
(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 x)))
(+.f64 1 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)))
(pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -1)
(+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))
(/.f64 1 (-.f64 (/.f64 (tan.f64 x) (-.f64 (sin.f64 x) x)) (/.f64 x (-.f64 (sin.f64 x) x))))
(/.f64 (-.f64 (sin.f64 x) x) (exp.f64 (log.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (exp.f64 (log.f64 (-.f64 (sin.f64 x) x))) (-.f64 (tan.f64 x) x))
(/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 3))
(/.f64 (-.f64 (sin.f64 x) x) (fma.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)) (neg.f64 x)))
(/.f64 1 (/.f64 (fma.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)) (neg.f64 x)) (-.f64 (sin.f64 x) x)))
(pow.f64 (/.f64 (fma.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)) (neg.f64 x)) (-.f64 (sin.f64 x) x)) -1)
(/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)) (neg.f64 x))) 3))
(fma.f64 (/.f64 (sin.f64 x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (+.f64 x (tan.f64 x)) (neg.f64 (/.f64 x (-.f64 (tan.f64 x) x))))
(/.f64 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 x) x))))) (exp.f64 (log.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 x) x))))) (exp.f64 (log.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 x) x))))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 3))
(/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)) (neg.f64 x))) 3))
(/.f64 (fma.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)) (fma.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)) (neg.f64 x)))
(+.f64 (fma.f64 1 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (neg.f64 (*.f64 (cbrt.f64 (/.f64 x (-.f64 (tan.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 (tan.f64 x) x))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (-.f64 (tan.f64 x) x)))) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 (tan.f64 x) x))) 2) (*.f64 (cbrt.f64 (/.f64 x (-.f64 (tan.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 (tan.f64 x) x))) 2))))
Outputs
(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)))
(+.f64 (*.f64 x (*.f64 x 9/40)) -1/2)
(fma.f64 (/.f64 (sin.f64 x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (+.f64 x (tan.f64 x)) (neg.f64 (/.f64 x (-.f64 (tan.f64 x) x))))
Calls

3 calls:

43.0ms
x
8.0ms
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
6.0ms
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Results
ErrorSegmentsBranch
0.0b3x
0.3b2(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
0.3b2(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Compiler

Compiled 457 to 165 computations (63.9% saved)

bsearch67.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
32.0ms
4.357524670288106e-5
0.5362484084229574
35.0ms
-130842.887112563
-1.5798793785686897e-7
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes60.0ms (0.3%)

Counts
24 → 3
Calls
Call 1
Inputs
1
-1/2
1
-1/2
-1/2
1
(+.f64 (*.f64 x (*.f64 x 9/40)) -1/2)
(fma.f64 x (*.f64 x 9/40) -1/2)
(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))
(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 x)))
(+.f64 1 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)))
(pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -1)
(+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))
(/.f64 1 (-.f64 (/.f64 (tan.f64 x) (-.f64 (sin.f64 x) x)) (/.f64 x (-.f64 (sin.f64 x) x))))
(/.f64 (-.f64 (sin.f64 x) x) (exp.f64 (log.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (exp.f64 (log.f64 (-.f64 (sin.f64 x) x))) (-.f64 (tan.f64 x) x))
(/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 3))
(/.f64 (-.f64 (sin.f64 x) x) (fma.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)) (neg.f64 x)))
(/.f64 1 (/.f64 (fma.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)) (neg.f64 x)) (-.f64 (sin.f64 x) x)))
(pow.f64 (/.f64 (fma.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)) (neg.f64 x)) (-.f64 (sin.f64 x) x)) -1)
(/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)) (neg.f64 x))) 3))
Outputs
(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)))
(+.f64 (*.f64 x (*.f64 x 9/40)) -1/2)
(/.f64 1 (/.f64 (fma.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)) (neg.f64 x)) (-.f64 (sin.f64 x) x)))
Calls

3 calls:

38.0ms
x
8.0ms
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
6.0ms
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Results
ErrorSegmentsBranch
0.0b3x
0.3b2(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
0.3b2(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Compiler

Compiled 232 to 95 computations (59.1% saved)

bsearch70.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
35.0ms
4.357524670288106e-5
0.5362484084229574
34.0ms
-130842.887112563
-1.5798793785686897e-7
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes55.0ms (0.3%)

Counts
21 → 3
Calls
Call 1
Inputs
1
-1/2
1
-1/2
-1/2
1
(+.f64 (*.f64 x (*.f64 x 9/40)) -1/2)
(fma.f64 x (*.f64 x 9/40) -1/2)
(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))
(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 x)))
(+.f64 1 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)))
(pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -1)
(+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))
(/.f64 1 (-.f64 (/.f64 (tan.f64 x) (-.f64 (sin.f64 x) x)) (/.f64 x (-.f64 (sin.f64 x) x))))
(/.f64 (-.f64 (sin.f64 x) x) (exp.f64 (log.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (exp.f64 (log.f64 (-.f64 (sin.f64 x) x))) (-.f64 (tan.f64 x) x))
(/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 3))
(/.f64 (-.f64 (sin.f64 x) x) (fma.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)) (neg.f64 x)))
Outputs
(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)))
(+.f64 (*.f64 x (*.f64 x 9/40)) -1/2)
(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)))
Calls

3 calls:

37.0ms
x
7.0ms
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
6.0ms
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Results
ErrorSegmentsBranch
0.0b3x
0.3b2(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
0.3b2(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Compiler

Compiled 183 to 76 computations (58.5% saved)

bsearch64.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
32.0ms
4.357524670288106e-5
0.5362484084229574
32.0ms
-130842.887112563
-1.5798793785686897e-7
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes35.0ms (0.2%)

Counts
13 → 3
Calls
Call 1
Inputs
1
-1/2
1
-1/2
-1/2
1
(+.f64 (*.f64 x (*.f64 x 9/40)) -1/2)
(fma.f64 x (*.f64 x 9/40) -1/2)
(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))
(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 x)))
(+.f64 1 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Outputs
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(+.f64 (*.f64 x (*.f64 x 9/40)) -1/2)
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
Calls

3 calls:

23.0ms
x
5.0ms
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
5.0ms
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Results
ErrorSegmentsBranch
0.0b3x
0.3b2(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
0.3b2(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
Compiler

Compiled 85 to 46 computations (45.9% saved)

bsearch68.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
34.0ms
4.357524670288106e-5
0.5362484084229574
33.0ms
-130842.887112563
-1.5798793785686897e-7
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes26.0ms (0.1%)

Counts
11 → 3
Calls
Call 1
Inputs
1
-1/2
1
-1/2
-1/2
1
(+.f64 (*.f64 x (*.f64 x 9/40)) -1/2)
(fma.f64 x (*.f64 x 9/40) -1/2)
(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))
(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 x)))
(+.f64 1 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x))
Outputs
(+.f64 1 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x))
(+.f64 (*.f64 x (*.f64 x 9/40)) -1/2)
(+.f64 1 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x))
Calls

1 calls:

22.0ms
x
Results
ErrorSegmentsBranch
0.4b3x
Compiler

Compiled 47 to 29 computations (38.3% saved)

bsearch135.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
71.0ms
0.5362484084229574
84198.86784473063
64.0ms
-130842.887112563
-1.5798793785686897e-7
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes54.0ms (0.3%)

Counts
10 → 3
Calls
Call 1
Inputs
1
-1/2
1
-1/2
-1/2
1
(+.f64 (*.f64 x (*.f64 x 9/40)) -1/2)
(fma.f64 x (*.f64 x 9/40) -1/2)
(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))
(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 x)))
Outputs
(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))
(+.f64 (*.f64 x (*.f64 x 9/40)) -1/2)
(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 x)))
Calls

1 calls:

50.0ms
x
Results
ErrorSegmentsBranch
0.9b3x
Compiler

Compiled 38 to 24 computations (36.8% saved)

bsearch134.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
62.0ms
0.5362484084229574
84198.86784473063
72.0ms
-130842.887112563
-1.5798793785686897e-7
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes26.0ms (0.1%)

Counts
9 → 3
Calls
Call 1
Inputs
1
-1/2
1
-1/2
-1/2
1
(+.f64 (*.f64 x (*.f64 x 9/40)) -1/2)
(fma.f64 x (*.f64 x 9/40) -1/2)
(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))
Outputs
(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))
(+.f64 (*.f64 x (*.f64 x 9/40)) -1/2)
(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))
Calls

1 calls:

24.0ms
x
Results
ErrorSegmentsBranch
0.9b3x
Compiler

Compiled 29 to 21 computations (27.6% saved)

bsearch74.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
36.0ms
0.5362484084229574
84198.86784473063
37.0ms
-130842.887112563
-1.5798793785686897e-7
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes22.0ms (0.1%)

Counts
8 → 3
Calls
Call 1
Inputs
1
-1/2
1
-1/2
-1/2
1
(+.f64 (*.f64 x (*.f64 x 9/40)) -1/2)
(fma.f64 x (*.f64 x 9/40) -1/2)
Outputs
1
(+.f64 (*.f64 x (*.f64 x 9/40)) -1/2)
1
Calls

1 calls:

20.0ms
x
Results
ErrorSegmentsBranch
0.9b3x
Compiler

Compiled 22 to 17 computations (22.7% saved)

bsearch66.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
33.0ms
0.5362484084229574
84198.86784473063
33.0ms
-130842.887112563
-1.5798793785686897e-7
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes16.0ms (0.1%)

Accuracy

Total -61.8b remaining (-5345.9%)

Threshold costs -61.8b (-5345.9%)

Counts
6 → 3
Calls
Call 1
Inputs
1
-1/2
1
-1/2
-1/2
1
Outputs
1
-1/2
1
Calls

1 calls:

15.0ms
x
Results
ErrorSegmentsBranch
1.2b3x
Compiler

Compiled 9 to 8 computations (11.1% saved)

bsearch64.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
33.0ms
0.5362484084229574
84198.86784473063
31.0ms
-130842.887112563
-1.5798793785686897e-7
Compiler

Compiled 14 to 9 computations (35.7% saved)

simplify17.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
11×+-commutative_binary64
8×sub-neg_binary64
6×*-commutative_binary64
4×neg-sub0_binary64
4×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061426
182426
295426
3101426
4103426
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x -8991454737002847/68719476736) (/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) (if (<=.f64 x 6430571391014423/147573952589676412928) (+.f64 (*.f64 x (*.f64 x 9/40)) -1/2) (fma.f64 (/.f64 (sin.f64 x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (+.f64 x (tan.f64 x)) (neg.f64 (/.f64 x (-.f64 (tan.f64 x) x))))))
(if (<=.f64 x -8991454737002847/68719476736) (/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) (if (<=.f64 x 6430571391014423/147573952589676412928) (+.f64 (*.f64 x (*.f64 x 9/40)) -1/2) (/.f64 1 (/.f64 (fma.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)) (neg.f64 x)) (-.f64 (sin.f64 x) x)))))
(if (<=.f64 x -8991454737002847/68719476736) (/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) (if (<=.f64 x 6430571391014423/147573952589676412928) (+.f64 (*.f64 x (*.f64 x 9/40)) -1/2) (/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)))))
(if (<=.f64 x -8991454737002847/68719476736) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (if (<=.f64 x 6430571391014423/147573952589676412928) (+.f64 (*.f64 x (*.f64 x 9/40)) -1/2) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(if (<=.f64 x -8991454737002847/68719476736) (+.f64 1 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x)) (if (<=.f64 x 9892037150112368640/18446744073709551616) (+.f64 (*.f64 x (*.f64 x 9/40)) -1/2) (+.f64 1 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x))))
(if (<=.f64 x -8991454737002847/68719476736) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) (if (<=.f64 x 9892037150112368640/18446744073709551616) (+.f64 (*.f64 x (*.f64 x 9/40)) -1/2) (/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 x)))))
(if (<=.f64 x -8991454737002847/68719476736) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) (if (<=.f64 x 9892037150112368640/18446744073709551616) (+.f64 (*.f64 x (*.f64 x 9/40)) -1/2) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))))
(if (<=.f64 x -8991454737002847/68719476736) 1 (if (<=.f64 x 9892037150112368640/18446744073709551616) (+.f64 (*.f64 x (*.f64 x 9/40)) -1/2) 1))
(if (<=.f64 x -8991454737002847/68719476736) 1 (if (<=.f64 x 9892037150112368640/18446744073709551616) -1/2 1))
1
Outputs
(if (<=.f64 x -8991454737002847/68719476736) (/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) (if (<=.f64 x 6430571391014423/147573952589676412928) (+.f64 (*.f64 x (*.f64 x 9/40)) -1/2) (fma.f64 (/.f64 (sin.f64 x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (+.f64 x (tan.f64 x)) (neg.f64 (/.f64 x (-.f64 (tan.f64 x) x))))))
(if (<=.f64 x -8991454737002847/68719476736) (/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) (if (<=.f64 x 6430571391014423/147573952589676412928) (+.f64 (*.f64 x (*.f64 x 9/40)) -1/2) (fma.f64 (/.f64 (sin.f64 x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (+.f64 x (tan.f64 x)) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)))))
(if (<=.f64 x -8991454737002847/68719476736) (/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) (if (<=.f64 x 6430571391014423/147573952589676412928) (+.f64 (*.f64 x (*.f64 x 9/40)) -1/2) (/.f64 1 (/.f64 (fma.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)) (neg.f64 x)) (-.f64 (sin.f64 x) x)))))
(if (<=.f64 x -8991454737002847/68719476736) (/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) (if (<=.f64 x 6430571391014423/147573952589676412928) (+.f64 (*.f64 x (*.f64 x 9/40)) -1/2) (/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)))))
(if (<=.f64 x -8991454737002847/68719476736) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (if (<=.f64 x 6430571391014423/147573952589676412928) (+.f64 (*.f64 x (*.f64 x 9/40)) -1/2) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(if (<=.f64 x -8991454737002847/68719476736) (+.f64 1 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x)) (if (<=.f64 x 9892037150112368640/18446744073709551616) (+.f64 (*.f64 x (*.f64 x 9/40)) -1/2) (+.f64 1 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x))))
(if (<=.f64 x -8991454737002847/68719476736) (+.f64 1 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x)) (if (<=.f64 x 4830096264703305/9007199254740992) (+.f64 (*.f64 x (*.f64 x 9/40)) -1/2) (+.f64 1 (/.f64 (-.f64 (tan.f64 x) (sin.f64 x)) x))))
(if (<=.f64 x -8991454737002847/68719476736) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) (if (<=.f64 x 9892037150112368640/18446744073709551616) (+.f64 (*.f64 x (*.f64 x 9/40)) -1/2) (/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 x)))))
(if (<=.f64 x -8991454737002847/68719476736) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) (if (<=.f64 x 4830096264703305/9007199254740992) (+.f64 (*.f64 x (*.f64 x 9/40)) -1/2) (/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 x)))))
(if (<=.f64 x -8991454737002847/68719476736) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) (if (<=.f64 x 9892037150112368640/18446744073709551616) (+.f64 (*.f64 x (*.f64 x 9/40)) -1/2) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))))
(if (<=.f64 x -8991454737002847/68719476736) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) (if (<=.f64 x 4830096264703305/9007199254740992) (+.f64 (*.f64 x (*.f64 x 9/40)) -1/2) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))))
(if (<=.f64 x -8991454737002847/68719476736) 1 (if (<=.f64 x 9892037150112368640/18446744073709551616) (+.f64 (*.f64 x (*.f64 x 9/40)) -1/2) 1))
(if (<=.f64 x -8991454737002847/68719476736) 1 (if (<=.f64 x 4830096264703305/9007199254740992) (+.f64 (*.f64 x (*.f64 x 9/40)) -1/2) 1))
(if (<=.f64 x -8991454737002847/68719476736) 1 (if (<=.f64 x 9892037150112368640/18446744073709551616) -1/2 1))
(if (<=.f64 x -8991454737002847/68719476736) 1 (if (<=.f64 x 4830096264703305/9007199254740992) -1/2 1))
1
Compiler

Compiled 293 to 174 computations (40.6% saved)

soundness920.0ms (4.7%)

Algorithm
4×egg-herbie
Rules
597×div-sub_binary64
583×fma-neg_binary64
583×fma-neg_binary64
583×fma-neg_binary64
510×times-frac_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0714
11414
22414
34114
47514
513014
626014
754614
8142014
9256614
10339214
11375714
12388614
13391314
14392314
15392714
16392714
0714
11414
22414
34114
47514
513014
626014
754614
8142014
9256614
10339214
11375714
12388614
13391314
14392314
15392714
16392714
0100698
1295610
2964576
34842548
0714
11414
22414
34114
47514
513014
626014
754614
8142014
9256614
10339214
11375714
12388614
13391314
14392314
15392714
16392714
Stop Event
1×saturated
1×node limit
1×saturated
1×saturated
Compiler

Compiled 635 to 433 computations (31.8% saved)

end107.0ms (0.5%)

Compiler

Compiled 284 to 140 computations (50.7% saved)

Profiling

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