Details

Time bar (total: 19.0s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 10 to 7 computations (30% saved)

sample5.8s (30.5%)

Results
2.7s3579×body1024valid
1.7s1227×body2048valid
680.0ms1982×body256valid
630.0ms1466×body512valid
3.0ms2×body4096valid
Bogosity

preprocess50.0ms (0.3%)

Algorithm
2×egg-herbie
Rules
76×fma-def_binary64
57×fma-neg_binary64
27×cancel-sign-sub-inv_binary64
24×sub-neg_binary64
18×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01122
11722
22522
33822
45322
58122
614122
719922
828422
935522
1040722
1141122
022
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 eps))
Outputs
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 eps))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 eps))
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify20.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
39×fma-def_binary64
32×fma-neg_binary64
15×cancel-sign-sub-inv_binary64
12×sub-neg_binary64
10×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
11011
21511
32211
43111
54811
68611
712311
816711
920311
1022911
1123111
Stop Event
1×saturated
Counts
1 → 1
Calls
Call 1
Inputs
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Outputs
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

eval0.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
36.6b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶36.6b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(sin.f64 x)
✓1.0b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
✓3.5b
(sin.f64 (+.f64 x eps))
Compiler

Compiled 20 to 6 computations (70% saved)

series128.0ms (0.7%)

Counts
3 → 52
Calls

15 calls:

TimeVariablePointExpression
119.0ms
x
@-inf
(sin.f64 (+.f64 x eps))
1.0ms
eps
@inf
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
1.0ms
eps
@0
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
1.0ms
eps
@0
(sin.f64 (+.f64 x eps))
1.0ms
x
@0
(sin.f64 (+.f64 x eps))

rewrite100.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
587×unpow-prod-down_binary64
464×fma-def_binary64
445×log-prod_binary64
279×pow-prod-down_binary64
265×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0720
117320
2274520
Stop Event
1×node limit
Counts
3 → 199
Calls
Call 1
Inputs
(sin.f64 (+.f64 x eps))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(sin.f64 x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 1) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (+.f64 x eps))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (+.f64 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (+.f64 x eps)))) (cos.f64 1)) (*.f64 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps)))))))
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(sin.f64 x))) 2) (cbrt.f64 (neg.f64 (sin.f64 x))) (sin.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (sin.f64 x))) (sqrt.f64 (neg.f64 (sin.f64 x))) (sin.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (sin.f64 x) (sin.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (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 fma.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (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 fma.f64 (*.f64 2 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 x))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 x))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (sin.f64 x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (sin.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) 2) 3) (cbrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 x) (cbrt.f64 (sin.f64 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (sqrt.f64 (sin.f64 x))) 1/3) (cbrt.f64 (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 x)) 1))))))

simplify69.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
510×neg-sub0_binary64
466×neg-mul-1_binary64
405×fma-def_binary64
403×distribute-rgt-neg-in_binary64
331×distribute-rgt-neg-out_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
082626
1232621
2569605
32129604
45935604
Stop Event
1×node limit
Counts
251 → 240
Calls
Call 1
Inputs
(sin.f64 eps)
(+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (sin.f64 eps))))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 x)
(+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
Outputs
(sin.f64 eps)
(+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))
(fma.f64 (cos.f64 eps) x (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (cos.f64 eps) x (sin.f64 eps)))
(fma.f64 (cos.f64 eps) x (fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (*.f64 -1/2 (*.f64 x x)) (fma.f64 (cos.f64 eps) x (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (cos.f64 eps) x (fma.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3)) (sin.f64 eps))))
(+.f64 (*.f64 (cos.f64 eps) (fma.f64 -1/6 (pow.f64 x 3) x)) (fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (sin.f64 eps)))
(+.f64 (*.f64 (cos.f64 eps) (fma.f64 -1/6 (pow.f64 x 3) x)) (*.f64 (sin.f64 eps) (+.f64 1 (*.f64 -1/2 (*.f64 x x)))))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (+.f64 eps x))
(sin.f64 x)
(+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x))
(fma.f64 (cos.f64 x) eps (sin.f64 x))
(fma.f64 eps (cos.f64 x) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(fma.f64 eps (cos.f64 x) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 1) (sin.f64 x)))
(fma.f64 eps (cos.f64 x) (*.f64 (sin.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1)))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(+.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x)) (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)))))
(+.f64 (sin.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))))
(+.f64 (*.f64 (sin.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 (*.f64 (sin.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1)) (*.f64 (cos.f64 x) (-.f64 eps (*.f64 (pow.f64 eps 3) 1/6))))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (+.f64 eps x))
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps))
(fma.f64 x (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 x (+.f64 (cos.f64 eps) -1) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (*.f64 x (*.f64 x -1/2)) (fma.f64 x (+.f64 (cos.f64 eps) -1) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (*.f64 -1/2 (*.f64 x x)) (fma.f64 x (+.f64 (cos.f64 eps) -1) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (fma.f64 -1/6 (cos.f64 eps) 1/6) (pow.f64 x 3) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 x (+.f64 (cos.f64 eps) -1) (fma.f64 (pow.f64 x 3) (fma.f64 (cos.f64 eps) -1/6 1/6) (sin.f64 eps))))
(fma.f64 (sin.f64 eps) (*.f64 x (*.f64 x -1/2)) (fma.f64 x (+.f64 (cos.f64 eps) -1) (fma.f64 (pow.f64 x 3) (fma.f64 (cos.f64 eps) -1/6 1/6) (sin.f64 eps))))
(fma.f64 (sin.f64 eps) (*.f64 -1/2 (*.f64 x x)) (fma.f64 x (+.f64 (cos.f64 eps) -1) (fma.f64 (pow.f64 x 3) (fma.f64 (cos.f64 eps) -1/6 1/6) (sin.f64 eps))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))
(fma.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)) (*.f64 eps (cos.f64 x)))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)))))
(+.f64 (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(fma.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(fma.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(fma.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))) (*.f64 (cos.f64 x) (-.f64 eps (*.f64 (pow.f64 eps 3) 1/6))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))))
(fma.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 (sin.f64 x) (+.f64 (*.f64 eps (*.f64 eps -1/2)) (*.f64 1/24 (pow.f64 eps 4)))))
(fma.f64 (cos.f64 x) (-.f64 eps (*.f64 (pow.f64 eps 3) 1/6)) (*.f64 (sin.f64 x) (+.f64 (*.f64 eps (*.f64 eps -1/2)) (*.f64 1/24 (pow.f64 eps 4)))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/5040 (pow.f64 x 7) (fma.f64 1/120 (pow.f64 x 5) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) (fma.f64 -1/5040 (pow.f64 x 7) x)))

eval67.0ms (0.4%)

Compiler

Compiled 4104 to 1324 computations (67.7% saved)

prune136.0ms (0.7%)

Pruning

44 alts after pruning (43 fresh and 1 done)

PrunedKeptTotal
New19743240
Fresh000
Picked011
Done000
Total19744241
Error
0.1b
Counts
241 → 44
Alt Table
Click to see full alt table
StatusErrorProgram
▶20.9b
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
36.8b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
38.8b
(-.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
48.7b
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
38.2b
(-.f64 (sin.f64 (+.f64 x eps)) x)
37.2b
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
30.5b
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
37.9b
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
37.0b
(-.f64 (sin.f64 eps) (sin.f64 x))
36.7b
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
36.7b
(-.f64 (sin.f64 (+.f64 x eps)) (log1p.f64 (expm1.f64 (sin.f64 x))))
35.4b
(fma.f64 (cos.f64 x) (-.f64 eps (*.f64 (pow.f64 eps 3) 1/6)) (*.f64 (sin.f64 x) (+.f64 (*.f64 eps (*.f64 eps -1/2)) (*.f64 1/24 (pow.f64 eps 4)))))
36.7b
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
▶37.0b
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
36.6b
(-.f64 (sin.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (sin.f64 x))))
21.6b
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
21.0b
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
35.3b
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
21.6b
(-.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
▶37.3b
(-.f64 (sin.f64 (+.f64 x eps)) (cbrt.f64 (pow.f64 (sin.f64 x) 3)))
49.1b
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
21.0b
(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
35.3b
(fma.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))) (*.f64 (cos.f64 x) (-.f64 eps (*.f64 (pow.f64 eps 3) 1/6))))
42.2b
(-.f64 (fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
26.8b
(-.f64 (log.f64 (*.f64 (exp.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (exp.f64 (*.f64 (sin.f64 x) (cos.f64 eps))))) (sin.f64 x))
37.7b
(*.f64 (pow.f64 (cbrt.f64 2) 3) (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))
37.3b
(-.f64 (sin.f64 (+.f64 x eps)) (log.f64 (exp.f64 (sin.f64 x))))
35.0b
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
40.4b
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3)) (sin.f64 x))
37.8b
(-.f64 (sin.f64 (+.f64 x eps)) (sqrt.f64 (pow.f64 (sin.f64 x) 2)))
35.0b
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
42.0b
(fma.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
21.6b
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
21.0b
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
✓36.6b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
▶34.8b
(*.f64 (cos.f64 x) eps)
61.3b
(-.f64 (sin.f64 x) (sin.f64 x))
37.3b
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
36.7b
(-.f64 (sin.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (sin.f64 x)) 3))
42.1b
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
▶20.9b
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
42.2b
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
21.5b
(-.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
42.2b
(log.f64 (/.f64 (exp.f64 (sin.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 (sin.f64 x)))))
Compiler

Compiled 1311 to 874 computations (33.3% saved)

localize43.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sin.f64 x)
✓0.1b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps)))
✓0.1b
(*.f64 (sin.f64 x) (cos.f64 eps))
✓2.5b
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
Compiler

Compiled 40 to 9 computations (77.5% saved)

series10.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
1.0ms
eps
@inf
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
1.0ms
eps
@-inf
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
1.0ms
x
@-inf
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
1.0ms
eps
@0
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))

rewrite79.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
530×log-prod_binary64
346×pow-prod-down_binary64
346×fma-def_binary64
302×pow2_binary64
210×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01045
121425
2295625
Stop Event
1×node limit
Counts
3 → 166
Calls
Call 1
Inputs
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(*.f64 (sin.f64 x) (cos.f64 eps))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (+.f64 eps x)) (*.f64 (neg.f64 (sin.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (+.f64 eps 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 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 2) (cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) 2)) (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (pow.f64 (sin.f64 (+.f64 eps x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 eps x))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 eps 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) (sin.f64 (+.f64 eps x))) (pow.f64 (sin.f64 (+.f64 eps x)) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (sin.f64 x) (cos.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (sin.f64 x) (cos.f64 eps))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (sin.f64 x) (cos.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 2 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 x eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 x eps)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 x eps)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (sin.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (+.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1) (*.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 eps x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 eps x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (+.f64 eps x))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (+.f64 eps x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 eps x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (+.f64 eps x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (+.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 (+.f64 eps x))) (pow.f64 (cbrt.f64 (sin.f64 (+.f64 eps x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 eps x))) 2) (cbrt.f64 (sin.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (+.f64 eps x))) (sqrt.f64 (sin.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3)) (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (-.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2)) (sin.f64 (-.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (+.f64 eps x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (+.f64 eps x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (+.f64 eps x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (exp.f64 (*.f64 (sin.f64 eps) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) (exp.f64 (*.f64 (sin.f64 eps) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (cos.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 (+.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 (+.f64 eps x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 (+.f64 eps x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 (+.f64 eps x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (sin.f64 (+.f64 eps x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 (+.f64 eps x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 (+.f64 eps x))) 3) 1/3))))))

simplify104.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
589×sub-neg_binary64
513×distribute-neg-in_binary64
495×fma-def_binary64
390×*-commutative_binary64
384×+-commutative_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
0831214
12411202
26551133
321261121
437061121
548531119
668991119
Stop Event
1×node limit
Counts
238 → 213
Calls
Call 1
Inputs
(*.f64 (cos.f64 x) eps)
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(*.f64 (cos.f64 eps) x)
(+.f64 (*.f64 (cos.f64 eps) x) (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))))
(+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (*.f64 1/120 (*.f64 (cos.f64 eps) (pow.f64 x 5)))))
(+.f64 (*.f64 -1/5040 (*.f64 (cos.f64 eps) (pow.f64 x 7))) (+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (*.f64 1/120 (*.f64 (cos.f64 eps) (pow.f64 x 5))))))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(sin.f64 x)
(+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (sin.f64 x) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 eps 6) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(sin.f64 x)
(+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(sin.f64 eps)
(+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (sin.f64 eps))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
Outputs
(*.f64 (cos.f64 x) eps)
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))))
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)) (*.f64 (cos.f64 x) eps))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x)))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)))))
(+.f64 (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(fma.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 eps (*.f64 eps (*.f64 -1/2 (sin.f64 x)))))
(fma.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 eps (*.f64 -1/2 (*.f64 eps (sin.f64 x)))))
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(fma.f64 (cos.f64 x) eps (*.f64 (sin.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1)))
(fma.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (sin.f64 x) (*.f64 (cos.f64 x) eps))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(+.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x)) (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)))))
(+.f64 (sin.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))))
(+.f64 (*.f64 (sin.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(sin.f64 eps)
(+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))
(fma.f64 (cos.f64 eps) x (sin.f64 eps))
(fma.f64 x (cos.f64 eps) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (cos.f64 eps) x (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 x (cos.f64 eps) (sin.f64 eps)))
(fma.f64 x (cos.f64 eps) (fma.f64 (*.f64 x x) (*.f64 -1/2 (sin.f64 eps)) (sin.f64 eps)))
(fma.f64 x (cos.f64 eps) (fma.f64 (sin.f64 eps) (*.f64 x (*.f64 x -1/2)) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (cos.f64 eps) x (fma.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3)) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 x (cos.f64 eps) (fma.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3)) (sin.f64 eps))))
(+.f64 (sin.f64 eps) (fma.f64 -1/2 (*.f64 x (*.f64 x (sin.f64 eps))) (*.f64 (cos.f64 eps) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))))
(+.f64 (sin.f64 eps) (fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (*.f64 (cos.f64 eps) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))

localize5.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(cos.f64 x)
✓0.1b
(*.f64 (cos.f64 x) eps)
Compiler

Compiled 10 to 4 computations (60% saved)

series7.0ms (0%)

Counts
2 → 12
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(cos.f64 x)
1.0ms
eps
@inf
(*.f64 (cos.f64 x) eps)
1.0ms
x
@0
(*.f64 (cos.f64 x) eps)
1.0ms
eps
@0
(*.f64 (cos.f64 x) eps)
0.0ms
x
@-inf
(*.f64 (cos.f64 x) eps)

rewrite45.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
462×pow1_binary64
440×add-sqr-sqrt_binary64
435×*-un-lft-identity_binary64
422×add-log-exp_binary64
422×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059
1979
211469
Stop Event
1×node limit
Counts
2 → 27
Calls
Call 1
Inputs
(*.f64 (cos.f64 x) eps)
(cos.f64 x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 x) eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 x)) eps))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 x) eps)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 x)))))))

simplify139.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1160×distribute-rgt-in_binary64
573×fma-def_binary64
542×distribute-rgt-out_binary64
530×sqr-pow_binary64
482×associate-*l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
034146
184142
2207134
3638127
42554125
54532125
65770125
76185125
86403125
96676125
107013125
117458125
Stop Event
1×node limit
Counts
39 → 42
Calls
Call 1
Inputs
eps
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(+.f64 eps (+.f64 (*.f64 1/24 (*.f64 eps (pow.f64 x 4))) (*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))))
(+.f64 (*.f64 -1/720 (*.f64 eps (pow.f64 x 6))) (+.f64 eps (+.f64 (*.f64 1/24 (*.f64 eps (pow.f64 x 4))) (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
Outputs
eps
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(fma.f64 -1/2 (*.f64 eps (*.f64 x x)) eps)
(*.f64 (fma.f64 -1/2 (*.f64 x x) 1) eps)
(fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps)
(*.f64 eps (fma.f64 x (*.f64 -1/2 x) 1))
(+.f64 eps (+.f64 (*.f64 1/24 (*.f64 eps (pow.f64 x 4))) (*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))))
(+.f64 eps (fma.f64 1/24 (*.f64 eps (pow.f64 x 4)) (*.f64 -1/2 (*.f64 eps (*.f64 x x)))))
(+.f64 eps (fma.f64 -1/2 (*.f64 eps (*.f64 x x)) (*.f64 1/24 (*.f64 eps (pow.f64 x 4)))))
(+.f64 eps (*.f64 eps (fma.f64 -1/2 (*.f64 x x) (*.f64 1/24 (pow.f64 x 4)))))
(fma.f64 eps (fma.f64 -1/2 (*.f64 x x) (*.f64 1/24 (pow.f64 x 4))) eps)
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 4) 1)))
(fma.f64 (*.f64 x x) (*.f64 eps (fma.f64 (*.f64 x x) 1/24 -1/2)) eps)
(+.f64 (*.f64 -1/720 (*.f64 eps (pow.f64 x 6))) (+.f64 eps (+.f64 (*.f64 1/24 (*.f64 eps (pow.f64 x 4))) (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))))
(fma.f64 -1/720 (*.f64 eps (pow.f64 x 6)) (+.f64 eps (fma.f64 1/24 (*.f64 eps (pow.f64 x 4)) (*.f64 -1/2 (*.f64 eps (*.f64 x x))))))
(+.f64 (fma.f64 -1/2 (*.f64 eps (*.f64 x x)) (*.f64 1/24 (*.f64 eps (pow.f64 x 4)))) (fma.f64 -1/720 (*.f64 eps (pow.f64 x 6)) eps))
(+.f64 (*.f64 eps (fma.f64 -1/2 (*.f64 x x) (*.f64 1/24 (pow.f64 x 4)))) (fma.f64 (pow.f64 x 6) (*.f64 eps -1/720) eps))
(+.f64 eps (*.f64 eps (fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/720 (pow.f64 x 6) (*.f64 1/24 (pow.f64 x 4))))))
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 4) (fma.f64 -1/720 (pow.f64 x 6) 1))))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 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 -1/2 x) 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 1/24 (pow.f64 x 4))))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 4) 1))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 4) (*.f64 -1/720 (pow.f64 x 6)))))
(+.f64 1 (fma.f64 1/24 (pow.f64 x 4) (fma.f64 -1/720 (pow.f64 x 6) (*.f64 -1/2 (*.f64 x x)))))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/720 (pow.f64 x 6) (fma.f64 1/24 (pow.f64 x 4) 1)))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 4) (fma.f64 -1/720 (pow.f64 x 6) 1)))

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
✓0.1b
(log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
1.0b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
3.5b
(sin.f64 (+.f64 x eps))
Compiler

Compiled 37 to 8 computations (78.4% saved)

series131.0ms (0.7%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
53.0ms
eps
@-inf
(log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
30.0ms
x
@inf
(log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
28.0ms
x
@-inf
(log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
15.0ms
eps
@inf
(log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
2.0ms
eps
@0
(log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))

rewrite75.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
483×log-prod_binary64
482×fma-def_binary64
306×pow-prod-down_binary64
285×pow2_binary64
228×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0924
119424
2295324
Stop Event
1×node limit
Counts
2 → 149
Calls
Call 1
Inputs
(log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
Outputs
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simplify86.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
760×associate-*r*_binary64
737×associate-*l*_binary64
660×fma-def_binary64
323×distribute-rgt-in_binary64
319×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01351086
14061025
21339969
37649969
Stop Event
1×node limit
Counts
197 → 185
Calls
Call 1
Inputs
(log.f64 (+.f64 1 (sin.f64 eps)))
(+.f64 (log.f64 (+.f64 1 (sin.f64 eps))) (*.f64 (-.f64 (/.f64 (cos.f64 eps) (+.f64 1 (sin.f64 eps))) (/.f64 1 (+.f64 1 (sin.f64 eps)))) x))
(+.f64 (log.f64 (+.f64 1 (sin.f64 eps))) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2) (pow.f64 (+.f64 1 (sin.f64 eps)) 2))) (*.f64 -1 (/.f64 (sin.f64 eps) (+.f64 1 (sin.f64 eps))))) (pow.f64 x 2))) (*.f64 (-.f64 (/.f64 (cos.f64 eps) (+.f64 1 (sin.f64 eps))) (/.f64 1 (+.f64 1 (sin.f64 eps)))) x)))
(+.f64 (log.f64 (+.f64 1 (sin.f64 eps))) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 3 (/.f64 (*.f64 (-.f64 (cos.f64 eps) 1) (sin.f64 eps)) (pow.f64 (+.f64 1 (sin.f64 eps)) 2))) (+.f64 (*.f64 6 (/.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (+.f64 1 (sin.f64 eps)))) (*.f64 2 (/.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 3) (pow.f64 (+.f64 1 (sin.f64 eps)) 3))))) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2) (pow.f64 (+.f64 1 (sin.f64 eps)) 2))) (*.f64 -1 (/.f64 (sin.f64 eps) (+.f64 1 (sin.f64 eps))))) (pow.f64 x 2))) (*.f64 (-.f64 (/.f64 (cos.f64 eps) (+.f64 1 (sin.f64 eps))) (/.f64 1 (+.f64 1 (sin.f64 eps)))) x))))
(log.f64 (-.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) (sin.f64 x)))
(log.f64 (-.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) (sin.f64 x)))
(log.f64 (-.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) (sin.f64 x)))
(log.f64 (-.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) (sin.f64 x)))
(log.f64 (-.f64 (+.f64 1 (sin.f64 (-.f64 eps (*.f64 -1 x)))) (sin.f64 x)))
(log.f64 (-.f64 (+.f64 1 (sin.f64 (-.f64 eps (*.f64 -1 x)))) (sin.f64 x)))
(log.f64 (-.f64 (+.f64 1 (sin.f64 (-.f64 eps (*.f64 -1 x)))) (sin.f64 x)))
(log.f64 (-.f64 (+.f64 1 (sin.f64 (-.f64 eps (*.f64 -1 x)))) (sin.f64 x)))
(*.f64 (cos.f64 x) eps)
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (pow.f64 (cos.f64 x) 2))))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 2 (pow.f64 (cos.f64 x) 3)) (+.f64 (*.f64 3 (*.f64 (cos.f64 x) (sin.f64 x))) (*.f64 -1 (cos.f64 x)))))) (+.f64 (*.f64 (cos.f64 x) eps) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (pow.f64 (cos.f64 x) 2)))))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 2 (pow.f64 (cos.f64 x) 3)) (+.f64 (*.f64 3 (*.f64 (cos.f64 x) (sin.f64 x))) (*.f64 -1 (cos.f64 x)))))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 -6 (pow.f64 (cos.f64 x) 4)) (+.f64 (sin.f64 x) (+.f64 (*.f64 -12 (*.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 x))) (+.f64 (*.f64 -3 (pow.f64 (sin.f64 x) 2)) (*.f64 4 (pow.f64 (cos.f64 x) 2)))))))) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (pow.f64 (cos.f64 x) 2))))))))
(log.f64 (-.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) (sin.f64 x)))
(log.f64 (-.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) (sin.f64 x)))
(log.f64 (-.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) (sin.f64 x)))
(log.f64 (-.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) (sin.f64 x)))
(log.f64 (-.f64 (+.f64 1 (sin.f64 (-.f64 x (*.f64 -1 eps)))) (sin.f64 x)))
(log.f64 (-.f64 (+.f64 1 (sin.f64 (-.f64 x (*.f64 -1 eps)))) (sin.f64 x)))
(log.f64 (-.f64 (+.f64 1 (sin.f64 (-.f64 x (*.f64 -1 eps)))) (sin.f64 x)))
(log.f64 (-.f64 (+.f64 1 (sin.f64 (-.f64 x (*.f64 -1 eps)))) (sin.f64 x)))
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
Outputs
(log.f64 (+.f64 1 (sin.f64 eps)))
(log1p.f64 (sin.f64 eps))
(+.f64 (log.f64 (+.f64 1 (sin.f64 eps))) (*.f64 (-.f64 (/.f64 (cos.f64 eps) (+.f64 1 (sin.f64 eps))) (/.f64 1 (+.f64 1 (sin.f64 eps)))) x))
(+.f64 (log1p.f64 (sin.f64 eps)) (*.f64 (-.f64 (/.f64 (cos.f64 eps) (+.f64 1 (sin.f64 eps))) (/.f64 1 (+.f64 1 (sin.f64 eps)))) x))
(fma.f64 (+.f64 (/.f64 (cos.f64 eps) (+.f64 1 (sin.f64 eps))) (/.f64 -1 (+.f64 1 (sin.f64 eps)))) x (log1p.f64 (sin.f64 eps)))
(fma.f64 x (/.f64 (+.f64 (cos.f64 eps) -1) (+.f64 1 (sin.f64 eps))) (log1p.f64 (sin.f64 eps)))
(+.f64 (log.f64 (+.f64 1 (sin.f64 eps))) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2) (pow.f64 (+.f64 1 (sin.f64 eps)) 2))) (*.f64 -1 (/.f64 (sin.f64 eps) (+.f64 1 (sin.f64 eps))))) (pow.f64 x 2))) (*.f64 (-.f64 (/.f64 (cos.f64 eps) (+.f64 1 (sin.f64 eps))) (/.f64 1 (+.f64 1 (sin.f64 eps)))) x)))
(+.f64 (log1p.f64 (sin.f64 eps)) (fma.f64 1/2 (*.f64 (*.f64 -1 (+.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (pow.f64 (+.f64 1 (sin.f64 eps)) 2)) (/.f64 (sin.f64 eps) (+.f64 1 (sin.f64 eps))))) (*.f64 x x)) (*.f64 (-.f64 (/.f64 (cos.f64 eps) (+.f64 1 (sin.f64 eps))) (/.f64 1 (+.f64 1 (sin.f64 eps)))) x)))
(+.f64 (log1p.f64 (sin.f64 eps)) (fma.f64 (*.f64 -1/2 (+.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (pow.f64 (+.f64 1 (sin.f64 eps)) 2)) (/.f64 (sin.f64 eps) (+.f64 1 (sin.f64 eps))))) (*.f64 x x) (*.f64 (+.f64 (/.f64 (cos.f64 eps) (+.f64 1 (sin.f64 eps))) (/.f64 -1 (+.f64 1 (sin.f64 eps)))) x)))
(fma.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (pow.f64 (+.f64 1 (sin.f64 eps)) 2)) (/.f64 (sin.f64 eps) (+.f64 1 (sin.f64 eps))))) (fma.f64 x (/.f64 (+.f64 (cos.f64 eps) -1) (+.f64 1 (sin.f64 eps))) (log1p.f64 (sin.f64 eps))))
(+.f64 (log.f64 (+.f64 1 (sin.f64 eps))) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 3 (/.f64 (*.f64 (-.f64 (cos.f64 eps) 1) (sin.f64 eps)) (pow.f64 (+.f64 1 (sin.f64 eps)) 2))) (+.f64 (*.f64 6 (/.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (+.f64 1 (sin.f64 eps)))) (*.f64 2 (/.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 3) (pow.f64 (+.f64 1 (sin.f64 eps)) 3))))) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2) (pow.f64 (+.f64 1 (sin.f64 eps)) 2))) (*.f64 -1 (/.f64 (sin.f64 eps) (+.f64 1 (sin.f64 eps))))) (pow.f64 x 2))) (*.f64 (-.f64 (/.f64 (cos.f64 eps) (+.f64 1 (sin.f64 eps))) (/.f64 1 (+.f64 1 (sin.f64 eps)))) x))))
(+.f64 (log1p.f64 (sin.f64 eps)) (fma.f64 1/6 (*.f64 (fma.f64 3 (/.f64 (*.f64 (sin.f64 eps) (+.f64 (cos.f64 eps) -1)) (pow.f64 (+.f64 1 (sin.f64 eps)) 2)) (fma.f64 6 (/.f64 (fma.f64 -1/6 (cos.f64 eps) 1/6) (+.f64 1 (sin.f64 eps))) (*.f64 2 (/.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) (pow.f64 (+.f64 1 (sin.f64 eps)) 3))))) (pow.f64 x 3)) (fma.f64 1/2 (*.f64 (*.f64 -1 (+.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (pow.f64 (+.f64 1 (sin.f64 eps)) 2)) (/.f64 (sin.f64 eps) (+.f64 1 (sin.f64 eps))))) (*.f64 x x)) (*.f64 (-.f64 (/.f64 (cos.f64 eps) (+.f64 1 (sin.f64 eps))) (/.f64 1 (+.f64 1 (sin.f64 eps)))) x))))
(+.f64 (log1p.f64 (sin.f64 eps)) (fma.f64 1/6 (*.f64 (fma.f64 3 (*.f64 (/.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 (+.f64 1 (sin.f64 eps)) 2)) (sin.f64 eps)) (fma.f64 2 (/.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) (pow.f64 (+.f64 1 (sin.f64 eps)) 3)) (/.f64 6 (/.f64 (+.f64 1 (sin.f64 eps)) (fma.f64 (cos.f64 eps) -1/6 1/6))))) (pow.f64 x 3)) (fma.f64 (*.f64 -1/2 (+.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (pow.f64 (+.f64 1 (sin.f64 eps)) 2)) (/.f64 (sin.f64 eps) (+.f64 1 (sin.f64 eps))))) (*.f64 x x) (*.f64 (+.f64 (/.f64 (cos.f64 eps) (+.f64 1 (sin.f64 eps))) (/.f64 -1 (+.f64 1 (sin.f64 eps)))) x))))
(fma.f64 1/6 (*.f64 (fma.f64 2 (pow.f64 (/.f64 (+.f64 (cos.f64 eps) -1) (+.f64 1 (sin.f64 eps))) 3) (fma.f64 3 (*.f64 (sin.f64 eps) (/.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 (+.f64 1 (sin.f64 eps)) 2))) (/.f64 (neg.f64 (+.f64 (cos.f64 eps) -1)) (+.f64 1 (sin.f64 eps))))) (pow.f64 x 3)) (fma.f64 (*.f64 x x) (*.f64 -1/2 (+.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (pow.f64 (+.f64 1 (sin.f64 eps)) 2)) (/.f64 (sin.f64 eps) (+.f64 1 (sin.f64 eps))))) (fma.f64 x (/.f64 (+.f64 (cos.f64 eps) -1) (+.f64 1 (sin.f64 eps))) (log1p.f64 (sin.f64 eps)))))
(log.f64 (-.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) (sin.f64 x)))
(log.f64 (+.f64 1 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(log1p.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(log.f64 (-.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) (sin.f64 x)))
(log.f64 (+.f64 1 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(log1p.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(log.f64 (-.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) (sin.f64 x)))
(log.f64 (+.f64 1 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(log1p.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(log.f64 (-.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) (sin.f64 x)))
(log.f64 (+.f64 1 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(log1p.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(log.f64 (-.f64 (+.f64 1 (sin.f64 (-.f64 eps (*.f64 -1 x)))) (sin.f64 x)))
(log.f64 (+.f64 1 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(log1p.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(log.f64 (-.f64 (+.f64 1 (sin.f64 (-.f64 eps (*.f64 -1 x)))) (sin.f64 x)))
(log.f64 (+.f64 1 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(log1p.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(log.f64 (-.f64 (+.f64 1 (sin.f64 (-.f64 eps (*.f64 -1 x)))) (sin.f64 x)))
(log.f64 (+.f64 1 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(log1p.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(log.f64 (-.f64 (+.f64 1 (sin.f64 (-.f64 eps (*.f64 -1 x)))) (sin.f64 x)))
(log.f64 (+.f64 1 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(log1p.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (pow.f64 (cos.f64 x) 2))))))
(fma.f64 (cos.f64 x) eps (*.f64 (*.f64 1/2 (*.f64 eps eps)) (*.f64 -1 (+.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)))))
(fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps eps) (*.f64 (-.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) 2)) 1/2)))
(fma.f64 (*.f64 eps (*.f64 eps -1/2)) (fma.f64 (cos.f64 x) (cos.f64 x) (sin.f64 x)) (*.f64 eps (cos.f64 x)))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 2 (pow.f64 (cos.f64 x) 3)) (+.f64 (*.f64 3 (*.f64 (cos.f64 x) (sin.f64 x))) (*.f64 -1 (cos.f64 x)))))) (+.f64 (*.f64 (cos.f64 x) eps) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (pow.f64 (cos.f64 x) 2)))))))
(fma.f64 1/6 (*.f64 (pow.f64 eps 3) (fma.f64 2 (pow.f64 (cos.f64 x) 3) (fma.f64 3 (*.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 (cos.f64 x))))) (fma.f64 (cos.f64 x) eps (*.f64 (*.f64 1/2 (*.f64 eps eps)) (*.f64 -1 (+.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2))))))
(fma.f64 1/6 (*.f64 (pow.f64 eps 3) (-.f64 (fma.f64 2 (pow.f64 (cos.f64 x) 3) (*.f64 3 (*.f64 (sin.f64 x) (cos.f64 x)))) (cos.f64 x))) (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps eps) (*.f64 (-.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) 2)) 1/2))))
(fma.f64 eps (cos.f64 x) (fma.f64 (*.f64 eps eps) (*.f64 -1/2 (fma.f64 (cos.f64 x) (cos.f64 x) (sin.f64 x))) (*.f64 (fma.f64 2 (pow.f64 (cos.f64 x) 3) (*.f64 (cos.f64 x) (+.f64 (*.f64 3 (sin.f64 x)) -1))) (*.f64 1/6 (pow.f64 eps 3)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 2 (pow.f64 (cos.f64 x) 3)) (+.f64 (*.f64 3 (*.f64 (cos.f64 x) (sin.f64 x))) (*.f64 -1 (cos.f64 x)))))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 -6 (pow.f64 (cos.f64 x) 4)) (+.f64 (sin.f64 x) (+.f64 (*.f64 -12 (*.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 x))) (+.f64 (*.f64 -3 (pow.f64 (sin.f64 x) 2)) (*.f64 4 (pow.f64 (cos.f64 x) 2)))))))) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (pow.f64 (cos.f64 x) 2))))))))
(fma.f64 1/6 (*.f64 (pow.f64 eps 3) (fma.f64 2 (pow.f64 (cos.f64 x) 3) (fma.f64 3 (*.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 (cos.f64 x))))) (fma.f64 (cos.f64 x) eps (fma.f64 1/24 (*.f64 (pow.f64 eps 4) (fma.f64 -6 (pow.f64 (cos.f64 x) 4) (+.f64 (sin.f64 x) (fma.f64 -12 (*.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (fma.f64 -3 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) 4)))))) (*.f64 (*.f64 1/2 (*.f64 eps eps)) (*.f64 -1 (+.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)))))))
(fma.f64 1/6 (*.f64 (pow.f64 eps 3) (-.f64 (fma.f64 2 (pow.f64 (cos.f64 x) 3) (*.f64 3 (*.f64 (sin.f64 x) (cos.f64 x)))) (cos.f64 x))) (fma.f64 eps (cos.f64 x) (fma.f64 1/2 (*.f64 eps (*.f64 eps (-.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) 2)))) (*.f64 (+.f64 (fma.f64 -12 (*.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (fma.f64 (pow.f64 (cos.f64 x) 2) 4 (*.f64 -3 (pow.f64 (sin.f64 x) 2)))) (fma.f64 -6 (pow.f64 (cos.f64 x) 4) (sin.f64 x))) (*.f64 1/24 (pow.f64 eps 4))))))
(fma.f64 (fma.f64 2 (pow.f64 (cos.f64 x) 3) (*.f64 (cos.f64 x) (+.f64 (*.f64 3 (sin.f64 x)) -1))) (*.f64 1/6 (pow.f64 eps 3)) (fma.f64 (*.f64 eps eps) (*.f64 -1/2 (fma.f64 (cos.f64 x) (cos.f64 x) (sin.f64 x))) (fma.f64 eps (cos.f64 x) (*.f64 (+.f64 (sin.f64 x) (fma.f64 -6 (pow.f64 (cos.f64 x) 4) (fma.f64 -3 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (*.f64 (sin.f64 x) -12) 4))))) (*.f64 1/24 (pow.f64 eps 4))))))
(log.f64 (-.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) (sin.f64 x)))
(log.f64 (+.f64 1 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(log1p.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(log.f64 (-.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) (sin.f64 x)))
(log.f64 (+.f64 1 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(log1p.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(log.f64 (-.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) (sin.f64 x)))
(log.f64 (+.f64 1 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(log1p.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(log.f64 (-.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) (sin.f64 x)))
(log.f64 (+.f64 1 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(log1p.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(log.f64 (-.f64 (+.f64 1 (sin.f64 (-.f64 x (*.f64 -1 eps)))) (sin.f64 x)))
(log.f64 (+.f64 1 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(log1p.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(log.f64 (-.f64 (+.f64 1 (sin.f64 (-.f64 x (*.f64 -1 eps)))) (sin.f64 x)))
(log.f64 (+.f64 1 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(log1p.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(log.f64 (-.f64 (+.f64 1 (sin.f64 (-.f64 x (*.f64 -1 eps)))) (sin.f64 x)))
(log.f64 (+.f64 1 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(log1p.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(log.f64 (-.f64 (+.f64 1 (sin.f64 (-.f64 x (*.f64 -1 eps)))) (sin.f64 x)))
(log.f64 (+.f64 1 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(log1p.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps))
(fma.f64 x (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 x (+.f64 (cos.f64 eps) -1) (sin.f64 eps)))
(fma.f64 x (+.f64 (cos.f64 eps) -1) (fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (fma.f64 -1/6 (cos.f64 eps) 1/6) (pow.f64 x 3) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 x (+.f64 (cos.f64 eps) -1) (fma.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3) (sin.f64 eps))))
(fma.f64 x (+.f64 (cos.f64 eps) -1) (fma.f64 (sin.f64 eps) (*.f64 x (*.f64 x -1/2)) (fma.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3) (sin.f64 eps))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (cos.f64 x) eps (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
(fma.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))) (*.f64 eps (cos.f64 x)))
(fma.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)) (*.f64 eps (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x))))
(+.f64 (*.f64 (sin.f64 x) (*.f64 (*.f64 eps eps) -1/2)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(fma.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (+.f64 (*.f64 (sin.f64 x) (*.f64 (*.f64 eps eps) -1/2)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))))
(fma.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 (sin.f64 x) (+.f64 (*.f64 eps (*.f64 eps -1/2)) (*.f64 1/24 (pow.f64 eps 4)))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.4b
(pow.f64 (sin.f64 x) 3)
✓1.0b
(-.f64 (sin.f64 (+.f64 x eps)) (cbrt.f64 (pow.f64 (sin.f64 x) 3)))
3.5b
(sin.f64 (+.f64 x eps))
✓19.9b
(cbrt.f64 (pow.f64 (sin.f64 x) 3))
Compiler

Compiled 33 to 15 computations (54.5% saved)

series9.0ms (0%)

Counts
3 → 40
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(pow.f64 (sin.f64 x) 3)
1.0ms
x
@-inf
(pow.f64 (sin.f64 x) 3)
1.0ms
x
@0
(pow.f64 (sin.f64 x) 3)
1.0ms
x
@0
(cbrt.f64 (pow.f64 (sin.f64 x) 3))
1.0ms
x
@-inf
(-.f64 (sin.f64 (+.f64 x eps)) (cbrt.f64 (pow.f64 (sin.f64 x) 3)))

rewrite91.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
477×log-prod_binary64
445×fma-def_binary64
325×pow-prod-down_binary64
283×pow2_binary64
196×pow-to-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01020
123120
2296120
Stop Event
1×node limit
Counts
3 → 166
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (sin.f64 x) 3))
(-.f64 (sin.f64 (+.f64 x eps)) (cbrt.f64 (pow.f64 (sin.f64 x) 3)))
(pow.f64 (sin.f64 x) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 x))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 x))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 x) 6) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 x) 9) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 x) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (sin.f64 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (sin.f64 x)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (sin.f64 x))) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (sin.f64 x))) 1) 1/3))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (+.f64 x eps)) (*.f64 (neg.f64 (sin.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (+.f64 x eps)) (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 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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(sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1 (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 fma.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1 (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sin.f64 (+.f64 x eps)) (*.f64 (neg.f64 (sin.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (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 fma.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (neg.f64 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(neg.f64 (cbrt.f64 (sin.f64 x))) (sin.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (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 fma.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 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(cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (*.f64 (sin.f64 (/.f64 (-.f64 (+.f64 x eps) x) 2)) (cos.f64 (/.f64 (+.f64 (+.f64 x eps) x) 2))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) 2) (cbrt.f64 (neg.f64 (sin.f64 x))) (sin.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (sin.f64 x))) (sqrt.f64 (neg.f64 (sin.f64 x))) (sin.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> 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(sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (sin.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 x) 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 x) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 x) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (pow.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 x) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (sin.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 x) 2) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (sin.f64 x) 5/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 x) 3/2) (pow.f64 (sin.f64 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 x) 5/2) (sqrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 x) 2) 1) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sin.f64 x) (cbrt.f64 (sin.f64 x))) 2) (cbrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (sin.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 x) 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (sin.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (sin.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 x) 9)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 x))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 x)) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (sin.f64 x))) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (sin.f64 x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 x)) 3/2) 2))))))

simplify66.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
818×fma-neg_binary64
460×neg-sub0_binary64
422×neg-mul-1_binary64
356×fma-def_binary64
319×*-commutative_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
080476
1220474
2537467
32037466
45604460
Stop Event
1×node limit
Counts
206 → 199
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(pow.f64 x 3)
(+.f64 (*.f64 -1/2 (pow.f64 x 5)) (pow.f64 x 3))
(+.f64 (*.f64 13/120 (pow.f64 x 7)) (+.f64 (*.f64 -1/2 (pow.f64 x 5)) (pow.f64 x 3)))
(+.f64 (*.f64 13/120 (pow.f64 x 7)) (+.f64 (*.f64 -41/3024 (pow.f64 x 9)) (+.f64 (*.f64 -1/2 (pow.f64 x 5)) (pow.f64 x 3))))
Outputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/5040 (pow.f64 x 7) (fma.f64 1/120 (pow.f64 x 5) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) (fma.f64 -1/5040 (pow.f64 x 7) x)))
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps))
(fma.f64 x (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 x (*.f64 x (sin.f64 eps))) (fma.f64 x (+.f64 (cos.f64 eps) -1) (sin.f64 eps)))
(fma.f64 x (+.f64 (cos.f64 eps) -1) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) 1) (sin.f64 eps)))
(fma.f64 x (+.f64 (cos.f64 eps) -1) (fma.f64 (sin.f64 eps) (*.f64 -1/2 (*.f64 x x)) (sin.f64 eps)))
(fma.f64 x (+.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 eps) (*.f64 x -1/2))) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (fma.f64 -1/6 (cos.f64 eps) 1/6) (pow.f64 x 3) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 x (*.f64 x (sin.f64 eps))) (fma.f64 x (+.f64 (cos.f64 eps) -1) (fma.f64 (pow.f64 x 3) (fma.f64 -1/6 (cos.f64 eps) 1/6) (sin.f64 eps))))
(fma.f64 x (+.f64 (cos.f64 eps) -1) (fma.f64 (sin.f64 eps) (*.f64 -1/2 (*.f64 x x)) (fma.f64 (pow.f64 x 3) (fma.f64 -1/6 (cos.f64 eps) 1/6) (sin.f64 eps))))
(fma.f64 x (+.f64 (cos.f64 eps) -1) (fma.f64 (*.f64 x x) (+.f64 (*.f64 x (fma.f64 -1/6 (cos.f64 eps) 1/6)) (*.f64 (sin.f64 eps) -1/2)) (sin.f64 eps)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)) (*.f64 eps (cos.f64 x)))
(fma.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)) (*.f64 eps (cos.f64 x)))
(*.f64 eps (+.f64 (*.f64 eps (*.f64 (sin.f64 x) -1/2)) (cos.f64 x)))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)))))
(+.f64 (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(fma.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) eps))
(fma.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))))
(fma.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps)) (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (+.f64 (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))))
(fma.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 (sin.f64 x) (+.f64 (*.f64 eps (*.f64 eps -1/2)) (*.f64 1/24 (pow.f64 eps 4)))))
(fma.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 (sin.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 1/24 (pow.f64 eps 4)))))
(fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (sin.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 1/24 (pow.f64 eps 4)))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(pow.f64 x 3)
(+.f64 (*.f64 -1/2 (pow.f64 x 5)) (pow.f64 x 3))
(fma.f64 -1/2 (pow.f64 x 5) (pow.f64 x 3))
(fma.f64 (pow.f64 x 5) -1/2 (pow.f64 x 3))
(+.f64 (*.f64 13/120 (pow.f64 x 7)) (+.f64 (*.f64 -1/2 (pow.f64 x 5)) (pow.f64 x 3)))
(fma.f64 13/120 (pow.f64 x 7) (fma.f64 -1/2 (pow.f64 x 5) (pow.f64 x 3)))
(fma.f64 (pow.f64 x 7) 13/120 (fma.f64 (pow.f64 x 5) -1/2 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 5) -1/2 (fma.f64 (pow.f64 x 7) 13/120 (pow.f64 x 3)))
(+.f64 (*.f64 13/120 (pow.f64 x 7)) (+.f64 (*.f64 -41/3024 (pow.f64 x 9)) (+.f64 (*.f64 -1/2 (pow.f64 x 5)) (pow.f64 x 3))))
(fma.f64 13/120 (pow.f64 x 7) (fma.f64 -41/3024 (pow.f64 x 9) (fma.f64 -1/2 (pow.f64 x 5) (pow.f64 x 3))))
(fma.f64 (pow.f64 x 7) 13/120 (fma.f64 -41/3024 (pow.f64 x 9) (fma.f64 (pow.f64 x 5) -1/2 (pow.f64 x 3))))
(fma.f64 (pow.f64 x 7) 13/120 (fma.f64 (pow.f64 x 5) -1/2 (fma.f64 -41/3024 (pow.f64 x 9) (pow.f64 x 3))))

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
0.1b
(*.f64 (sin.f64 x) (cos.f64 eps))
✓0.1b
(*.f64 (cos.f64 x) (sin.f64 eps))
✓2.5b
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
Compiler

Compiled 47 to 10 computations (78.7% saved)

series8.0ms (0%)

Counts
3 → 56
Calls

18 calls:

TimeVariablePointExpression
1.0ms
x
@0
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
1.0ms
eps
@inf
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
1.0ms
eps
@0
(*.f64 (cos.f64 x) (sin.f64 eps))
1.0ms
eps
@-inf
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
1.0ms
x
@inf
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))

rewrite118.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
762×fma-def_binary64
632×log-prod_binary64
381×fma-neg_binary64
236×pow1/3_binary64
235×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01145
124625
2368325
Stop Event
1×node limit
Counts
3 → 246
Calls
Call 1
Inputs
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(*.f64 (cos.f64 x) (sin.f64 eps))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (+.f64 x eps)) (*.f64 (neg.f64 (sin.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (+.f64 x eps)) (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 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sin.f64 (/.f64 (-.f64 (+.f64 x eps) x) 2)) (cos.f64 (/.f64 (+.f64 (+.f64 x eps) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))) (pow.f64 (sin.f64 (+.f64 x eps)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 (sin.f64 x) (sin.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))) (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))) (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))) (pow.f64 (sin.f64 (+.f64 x eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (+.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3))) (neg.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))) (pow.f64 (sin.f64 (+.f64 x eps)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2))) (neg.f64 (+.f64 (sin.f64 x) (sin.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) 3)) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (-.f64 (*.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))) (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))))))))) 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eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (+.f64 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 (-.f64 eps x)) (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2)) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 (-.f64 x eps)) (*.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 x eps)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) (pow.f64 (exp.f64 (cos.f64 x)) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 (sin.f64 x)) (cos.f64 eps)) (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (sin.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (sin.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))) (pow.f64 (exp.f64 (sin.f64 x)) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 (cos.f64 x)) (sin.f64 eps)) (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (cos.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))) (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (cos.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 (+.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 (+.f64 x eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 1 (*.f64 (cos.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1 (*.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (*.f64 (cbrt.f64 (sin.f64 eps)) (cos.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (*.f64 (cbrt.f64 (cos.f64 eps)) (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2)) (*.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2)) (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2)) (*.f64 (cos.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sin.f64 eps)) (*.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 eps)) (*.f64 (sqrt.f64 (cos.f64 eps)) (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 x eps))) 1/2 (*.f64 (cos.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (cbrt.f64 (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 x) (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sin.f64 eps) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (cbrt.f64 (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sin.f64 x) (sqrt.f64 (cos.f64 eps))) (sqrt.f64 (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 eps) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 eps) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 eps)))))))

simplify134.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
589×sub-neg_binary64
538×fma-def_binary64
441×*-commutative_binary64
384×+-commutative_binary64
346×unswap-sqr_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
0891080
12611063
2710977
32290973
43991973
55252972
67312972
Stop Event
1×node limit
Counts
302 → 290
Calls
Call 1
Inputs
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(sin.f64 eps)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 x 4) (sin.f64 eps))) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 x 4) (sin.f64 eps))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 x 6) (sin.f64 eps))) (sin.f64 eps))))
(*.f64 (cos.f64 x) eps)
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 5) (cos.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x)))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 5) (cos.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 eps 7) (cos.f64 x))) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))))
(sin.f64 eps)
(+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (sin.f64 eps))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(sin.f64 x)
(+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
Outputs
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(fma.f64 (-.f64 (cos.f64 eps) 1) x (sin.f64 eps))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps))
(-.f64 (fma.f64 (cos.f64 eps) x (sin.f64 eps)) x)
(fma.f64 (cos.f64 eps) x (-.f64 (sin.f64 eps) x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (-.f64 (cos.f64 eps) 1) x (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps)))
(fma.f64 (fma.f64 -1/2 (*.f64 x x) 1) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) x))
(-.f64 (fma.f64 (cos.f64 eps) x (*.f64 (sin.f64 eps) (fma.f64 -1/2 (*.f64 x x) 1))) x)
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(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (-.f64 (cos.f64 eps) 1) x (fma.f64 (fma.f64 -1/6 (cos.f64 eps) 1/6) (pow.f64 x 3) (sin.f64 eps))))
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(fma.f64 (sin.f64 eps) (*.f64 x (*.f64 x -1/2)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3) (sin.f64 eps))))
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(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
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(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
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(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
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(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
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(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
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(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (cos.f64 x) eps (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
(fma.f64 eps (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))))
(fma.f64 eps (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x)))))
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(fma.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)) (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)))
(fma.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps)) (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)))
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(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (+.f64 (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))))
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(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
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(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
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(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
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(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(sin.f64 eps)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (sin.f64 eps))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (sin.f64 eps))
(*.f64 (sin.f64 eps) (fma.f64 -1/2 (*.f64 x x) 1))
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(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 1/24 (*.f64 (sin.f64 eps) (pow.f64 x 4)) (sin.f64 eps)))
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(*.f64 (sin.f64 eps) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (fma.f64 -1/2 (*.f64 x x) 1)))
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(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 1/24 (*.f64 (sin.f64 eps) (pow.f64 x 4)) (fma.f64 -1/720 (*.f64 (sin.f64 eps) (pow.f64 x 6)) (sin.f64 eps))))
(+.f64 (fma.f64 -1/720 (*.f64 (sin.f64 eps) (pow.f64 x 6)) (sin.f64 eps)) (*.f64 (sin.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 1/24 (pow.f64 x 4)))))
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(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))
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(*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps))
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(fma.f64 1/120 (*.f64 (cos.f64 x) (pow.f64 eps 5)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(*.f64 (cos.f64 x) (+.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 1/120 (pow.f64 eps 5))))
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(*.f64 (cos.f64 x) (+.f64 (fma.f64 -1/6 (pow.f64 eps 3) (*.f64 -1/5040 (pow.f64 eps 7))) (fma.f64 1/120 (pow.f64 eps 5) eps)))
(*.f64 (cos.f64 x) (+.f64 (fma.f64 1/120 (pow.f64 eps 5) eps) (fma.f64 -1/6 (pow.f64 eps 3) (*.f64 -1/5040 (pow.f64 eps 7)))))
(sin.f64 eps)
(+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))
(fma.f64 (cos.f64 eps) x (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (cos.f64 eps) x (sin.f64 eps)))
(fma.f64 (cos.f64 eps) x (*.f64 (sin.f64 eps) (fma.f64 -1/2 (*.f64 x x) 1)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (cos.f64 eps) x (fma.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3)) (sin.f64 eps))))
(+.f64 (*.f64 (sin.f64 eps) (fma.f64 -1/2 (*.f64 x x) 1)) (*.f64 (cos.f64 eps) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(sin.f64 x)
(+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x))
(fma.f64 (cos.f64 x) eps (sin.f64 x))
(fma.f64 eps (cos.f64 x) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x)) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
(fma.f64 eps (cos.f64 x) (fma.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))) (sin.f64 x)))
(fma.f64 eps (cos.f64 x) (*.f64 (sin.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1)))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(+.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x)) (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x))))
(+.f64 (sin.f64 x) (+.f64 (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))))
(+.f64 (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)) (*.f64 (sin.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))

eval1.3s (7%)

Compiler

Compiled 23819 to 7606 computations (68.1% saved)

prune516.0ms (2.7%)

Pruning

72 alts after pruning (69 fresh and 3 done)

PrunedKeptTotal
New1255561311
Fresh251338
Picked011
Done325
Total1283721355
Error
0.0b
Counts
1355 → 72
Alt Table
Click to see full alt table
StatusErrorProgram
26.8b
(-.f64 (log.f64 (*.f64 (exp.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (exp.f64 (*.f64 (sin.f64 eps) (cos.f64 x))))) (sin.f64 x))
21.0b
(+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))
0.7b
(fma.f64 (*.f64 (sin.f64 eps) (cbrt.f64 (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (cos.f64 x)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
▶42.5b
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 x)) 2) eps)
36.8b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
36.7b
(-.f64 (sin.f64 (+.f64 x eps)) (log1p.f64 (expm1.f64 (sin.f64 x))))
0.5b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
34.6b
(-.f64 (sin.f64 eps) (cbrt.f64 (pow.f64 (sin.f64 x) 3)))
38.2b
(-.f64 (sin.f64 (+.f64 x eps)) x)
36.6b
(-.f64 (sin.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (sin.f64 x))))
35.3b
(fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (sin.f64 x) (*.f64 (*.f64 eps eps) (+.f64 -1/2 (*.f64 (*.f64 eps eps) 1/24)))))
35.4b
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) eps)))
0.5b
(fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x))))
53.7b
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
14.3b
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2)) (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x))))
37.0b
(-.f64 (sin.f64 eps) (sin.f64 x))
36.7b
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
37.2b
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
36.7b
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
42.2b
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) 2)) (sin.f64 x))
42.0b
(fma.f64 (*.f64 (cos.f64 eps) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
37.9b
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
21.6b
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) 3)) (sin.f64 x))
▶49.1b
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
0.5b
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
52.8b
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
21.6b
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
35.4b
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
37.7b
(*.f64 (pow.f64 (cbrt.f64 2) 3) (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))
37.3b
(-.f64 (sin.f64 (+.f64 x eps)) (log.f64 (exp.f64 (sin.f64 x))))
35.0b
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
42.0b
(expm1.f64 (log.f64 (+.f64 1 (sin.f64 eps))))
▶21.0b
(-.f64 (+.f64 (expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
▶0.5b
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
48.7b
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
37.8b
(-.f64 (sin.f64 (+.f64 x eps)) (sqrt.f64 (pow.f64 (sin.f64 x) 2)))
35.3b
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
34.2b
(expm1.f64 (*.f64 (cos.f64 x) eps))
36.7b
(-.f64 (sin.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (sin.f64 x)) 3))
21.6b
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
35.3b
(fma.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
22.0b
(fma.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))) (cbrt.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))) (cbrt.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))) (*.f64 (sin.f64 x) (cos.f64 eps)))
34.9b
(*.f64 (log1p.f64 (expm1.f64 (cos.f64 x))) eps)
✓36.6b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
✓34.8b
(*.f64 (cos.f64 x) eps)
35.0b
(*.f64 (-.f64 (+.f64 1 (cos.f64 x)) 1) eps)
33.9b
(fma.f64 (sqrt.f64 (sin.f64 eps)) (*.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
21.5b
(-.f64 (+.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 3) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
34.9b
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 3)) eps)
37.3b
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
24.7b
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3))) (sin.f64 x))
26.6b
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))) 1)) (sin.f64 x))
40.9b
(fma.f64 (*.f64 (sin.f64 x) (sqrt.f64 (cos.f64 eps))) (sqrt.f64 (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
35.0b
(fma.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)) (*.f64 eps (cos.f64 x)))
45.4b
(-.f64 (+.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
37.5b
(fma.f64 (cos.f64 eps) x (-.f64 (sin.f64 eps) x))
61.2b
(-.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (sin.f64 x) 3)))
42.2b
(-.f64 (+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1) 1)
61.3b
(-.f64 (sin.f64 x) (sin.f64 x))
1.5b
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) 2) (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
0.8b
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 eps)) (fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x))))
30.5b
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
35.2b
(-.f64 (+.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
42.0b
(*.f64 (sqrt.f64 (pow.f64 (cos.f64 x) 2)) eps)
21.0b
(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
✓20.9b
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
37.7b
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
16.8b
(fma.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
39.4b
(-.f64 (sin.f64 (+.f64 x eps)) (cbrt.f64 (pow.f64 x 3)))
▶29.4b
(sin.f64 eps)
48.7b
eps
42.2b
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
Compiler

Compiled 2046 to 1350 computations (34% saved)

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
0.1b
(*.f64 (sin.f64 x) (cos.f64 eps))
✓0.1b
(*.f64 (sin.f64 eps) (cos.f64 x))
✓1.7b
(-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))
Compiler

Compiled 44 to 10 computations (77.3% saved)

series22.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
15.0ms
eps
@inf
(-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))
1.0ms
x
@0
(-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))
1.0ms
eps
@0
(-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))
1.0ms
eps
@0
(*.f64 (sin.f64 eps) (cos.f64 x))
1.0ms
eps
@-inf
(-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))

rewrite124.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
748×fma-def_binary64
648×log-prod_binary64
430×fma-neg_binary64
243×expm1-udef_binary64
243×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01142
125330
2386330
Stop Event
1×node limit
Counts
3 → 245
Calls
Call 1
Inputs
(-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))
(*.f64 (sin.f64 eps) (cos.f64 x))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
Outputs
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simplify84.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
669×associate-+r+_binary64
646×fma-def_binary64
611×unswap-sqr_binary64
414×distribute-rgt-out_binary64
370×distribute-lft-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01031258
13011231
28461111
332221107
456871107
Stop Event
1×node limit
Counts
317 → 293
Calls
Call 1
Inputs
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (cos.f64 eps)) 1/120) (pow.f64 x 5)) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3))))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (cos.f64 eps)) 1/120) (pow.f64 x 5)) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (*.f64 (pow.f64 x 7) (+.f64 (*.f64 -1/5040 (cos.f64 eps)) 1/5040)))))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 eps 6) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (*.f64 1/40320 (*.f64 (pow.f64 eps 8) (sin.f64 x))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 eps 6) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 5) (cos.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x)))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 5) (cos.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 eps 7) (cos.f64 x))) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(sin.f64 eps)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 x 4) (sin.f64 eps))) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 x 4) (sin.f64 eps))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 x 6) (sin.f64 eps))) (sin.f64 eps))))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) eps)
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
Outputs
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 (+.f64 (cos.f64 eps) -1) x)
(fma.f64 (cos.f64 eps) x (neg.f64 x))
(-.f64 (*.f64 (cos.f64 eps) x) x)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (*.f64 (fma.f64 -1/6 (cos.f64 eps) 1/6) (pow.f64 x 3)))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (*.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3)))
(fma.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3) (fma.f64 (cos.f64 eps) x (neg.f64 x)))
(fma.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3) (-.f64 (*.f64 (cos.f64 eps) x) x))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (cos.f64 eps)) 1/120) (pow.f64 x 5)) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3))))
(fma.f64 (fma.f64 1/120 (cos.f64 eps) -1/120) (pow.f64 x 5) (fma.f64 (+.f64 (cos.f64 eps) -1) x (*.f64 (fma.f64 -1/6 (cos.f64 eps) 1/6) (pow.f64 x 3))))
(fma.f64 (fma.f64 (cos.f64 eps) 1/120 -1/120) (pow.f64 x 5) (fma.f64 (+.f64 (cos.f64 eps) -1) x (*.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3))))
(fma.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3) (fma.f64 (fma.f64 (cos.f64 eps) 1/120 -1/120) (pow.f64 x 5) (fma.f64 (cos.f64 eps) x (neg.f64 x))))
(fma.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3) (fma.f64 (fma.f64 (cos.f64 eps) 1/120 -1/120) (pow.f64 x 5) (-.f64 (*.f64 (cos.f64 eps) x) x)))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (cos.f64 eps)) 1/120) (pow.f64 x 5)) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (*.f64 (pow.f64 x 7) (+.f64 (*.f64 -1/5040 (cos.f64 eps)) 1/5040)))))
(fma.f64 (fma.f64 1/120 (cos.f64 eps) -1/120) (pow.f64 x 5) (fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (fma.f64 -1/6 (cos.f64 eps) 1/6) (pow.f64 x 3) (*.f64 (pow.f64 x 7) (fma.f64 -1/5040 (cos.f64 eps) 1/5040)))))
(fma.f64 (fma.f64 (cos.f64 eps) 1/120 -1/120) (pow.f64 x 5) (fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3) (*.f64 (pow.f64 x 7) (fma.f64 (cos.f64 eps) -1/5040 1/5040)))))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (fma.f64 (cos.f64 eps) 1/120 -1/120) (pow.f64 x 5) (fma.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3) (*.f64 (pow.f64 x 7) (fma.f64 (cos.f64 eps) -1/5040 1/5040)))))
(fma.f64 (fma.f64 (cos.f64 eps) 1/120 -1/120) (pow.f64 x 5) (fma.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3) (fma.f64 (pow.f64 x 7) (fma.f64 (cos.f64 eps) -1/5040 1/5040) (-.f64 (*.f64 (cos.f64 eps) x) x))))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)))
(*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps)))
(*.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) eps)
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(*.f64 (sin.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 1/24 (pow.f64 eps 4))))
(*.f64 (sin.f64 x) (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 eps 6) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 -1/720 (*.f64 (sin.f64 x) (pow.f64 eps 6)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (*.f64 (sin.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 -1/720 (pow.f64 eps 6)))))
(*.f64 (sin.f64 x) (+.f64 (*.f64 eps (*.f64 eps -1/2)) (fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/720 (pow.f64 eps 6)))))
(*.f64 (sin.f64 x) (+.f64 (*.f64 -1/720 (pow.f64 eps 6)) (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4)))))
(+.f64 (*.f64 1/40320 (*.f64 (pow.f64 eps 8) (sin.f64 x))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 eps 6) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(fma.f64 1/40320 (*.f64 (sin.f64 x) (pow.f64 eps 8)) (fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 -1/720 (*.f64 (sin.f64 x) (pow.f64 eps 6)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 -1/720 (pow.f64 eps 6)))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/40320 (pow.f64 eps 8)) (*.f64 1/24 (pow.f64 eps 4)))))
(*.f64 (sin.f64 x) (+.f64 (fma.f64 -1/2 (*.f64 eps eps) (*.f64 -1/720 (pow.f64 eps 6))) (fma.f64 1/40320 (pow.f64 eps 8) (*.f64 1/24 (pow.f64 eps 4)))))
(*.f64 (sin.f64 x) (+.f64 (fma.f64 1/40320 (pow.f64 eps 8) (*.f64 1/24 (pow.f64 eps 4))) (fma.f64 -1/2 (*.f64 eps eps) (*.f64 -1/720 (pow.f64 eps 6)))))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))
(fma.f64 (cos.f64 x) eps (*.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3))))
(*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))
(*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 5) (cos.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x)))))
(fma.f64 1/120 (*.f64 (cos.f64 x) (pow.f64 eps 5)) (fma.f64 (cos.f64 x) eps (*.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)))))
(fma.f64 1/120 (*.f64 (cos.f64 x) (pow.f64 eps 5)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(*.f64 (cos.f64 x) (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (fma.f64 1/120 (pow.f64 eps 5) eps)))
(*.f64 (cos.f64 x) (+.f64 (*.f64 1/120 (pow.f64 eps 5)) (fma.f64 -1/6 (pow.f64 eps 3) eps)))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 5) (cos.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 eps 7) (cos.f64 x))) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))))
(fma.f64 1/120 (*.f64 (cos.f64 x) (pow.f64 eps 5)) (fma.f64 (cos.f64 x) eps (fma.f64 -1/5040 (*.f64 (cos.f64 x) (pow.f64 eps 7)) (*.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3))))))
(+.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 -1/5040 (pow.f64 eps 7)))) (*.f64 (cos.f64 x) (+.f64 (*.f64 1/120 (pow.f64 eps 5)) eps)))
(*.f64 (cos.f64 x) (+.f64 (fma.f64 -1/6 (pow.f64 eps 3) (*.f64 -1/5040 (pow.f64 eps 7))) (fma.f64 1/120 (pow.f64 eps 5) eps)))
(*.f64 (cos.f64 x) (+.f64 (fma.f64 1/120 (pow.f64 eps 5) eps) (fma.f64 -1/6 (pow.f64 eps 3) (*.f64 -1/5040 (pow.f64 eps 7)))))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(sin.f64 eps)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (sin.f64 eps))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (sin.f64 eps))
(fma.f64 (*.f64 (*.f64 -1/2 x) x) (sin.f64 eps) (sin.f64 eps))
(*.f64 (sin.f64 eps) (fma.f64 -1/2 (*.f64 x x) 1))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 x 4) (sin.f64 eps))) (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 1/24 (*.f64 (sin.f64 eps) (pow.f64 x 4)) (sin.f64 eps)))
(+.f64 (sin.f64 eps) (*.f64 (sin.f64 eps) (+.f64 (*.f64 (*.f64 -1/2 x) x) (*.f64 1/24 (pow.f64 x 4)))))
(*.f64 (sin.f64 eps) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (fma.f64 -1/2 (*.f64 x x) 1)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 x 4) (sin.f64 eps))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 x 6) (sin.f64 eps))) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 1/24 (*.f64 (sin.f64 eps) (pow.f64 x 4)) (fma.f64 -1/720 (*.f64 (sin.f64 eps) (pow.f64 x 6)) (sin.f64 eps))))
(+.f64 (fma.f64 -1/720 (*.f64 (sin.f64 eps) (pow.f64 x 6)) (sin.f64 eps)) (*.f64 (sin.f64 eps) (+.f64 (*.f64 (*.f64 -1/2 x) x) (*.f64 1/24 (pow.f64 x 4)))))
(fma.f64 (sin.f64 eps) (fma.f64 1/24 (pow.f64 x 4) (*.f64 -1/720 (pow.f64 x 6))) (*.f64 (sin.f64 eps) (fma.f64 -1/2 (*.f64 x x) 1)))
(*.f64 (sin.f64 eps) (+.f64 (fma.f64 -1/2 (*.f64 x x) 1) (fma.f64 1/24 (pow.f64 x 4) (*.f64 -1/720 (pow.f64 x 6)))))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(fma.f64 eps (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))))
(fma.f64 eps (cos.f64 x) (*.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) eps))
(*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)))))
(+.f64 (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(fma.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)) (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))))
(+.f64 (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))) (*.f64 (sin.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 1/24 (pow.f64 eps 4)))))
(fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (sin.f64 x) (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4)))))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps)))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (*.f64 (sin.f64 eps) (fma.f64 -1/2 (*.f64 x x) 1)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (fma.f64 -1/6 (cos.f64 eps) 1/6) (pow.f64 x 3) (sin.f64 eps))))
(fma.f64 (*.f64 (*.f64 -1/2 x) x) (sin.f64 eps) (fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3) (sin.f64 eps))))
(+.f64 (fma.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3) (fma.f64 (cos.f64 eps) x (neg.f64 x))) (*.f64 (sin.f64 eps) (fma.f64 -1/2 (*.f64 x x) 1)))
(+.f64 (fma.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3) (-.f64 (*.f64 (cos.f64 eps) x) x)) (*.f64 (sin.f64 eps) (fma.f64 -1/2 (*.f64 x x) 1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))

localize4.0ms (0%)

Compiler

Compiled 5 to 3 computations (40% saved)

localize9.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(cos.f64 x)
✓0.0b
(sqrt.f64 (cos.f64 x))
✓0.1b
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 x)) 2) eps)
✓0.1b
(pow.f64 (sqrt.f64 (cos.f64 x)) 2)
Compiler

Compiled 22 to 10 computations (54.5% saved)

series4.0ms (0%)

Counts
3 → 40
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(pow.f64 (sqrt.f64 (cos.f64 x)) 2)
1.0ms
x
@-inf
(pow.f64 (sqrt.f64 (cos.f64 x)) 2)
1.0ms
x
@0
(pow.f64 (sqrt.f64 (cos.f64 x)) 2)
0.0ms
x
@0
(sqrt.f64 (cos.f64 x))
0.0ms
x
@0
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 x)) 2) eps)

rewrite58.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
608×pow1_binary64
560×add-log-exp_binary64
560×log1p-expm1-u_binary64
560×expm1-log1p-u_binary64
546×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0814
116314
2157814
Stop Event
1×node limit
Counts
3 → 48
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (cos.f64 x)) 2)
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 x)) 2) eps)
(sqrt.f64 (cos.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 x)) (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 x) 1/4) (*.f64 (pow.f64 (cos.f64 x) 1/4) (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cos.f64 x) 1/4)) (pow.f64 (cos.f64 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 (cos.f64 x))) (cbrt.f64 (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 x) eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 x)) eps))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 x) eps)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (cos.f64 x))) (cbrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 x) 1/4) (pow.f64 (cos.f64 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (sqrt.f64 (cbrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1/2) (pow.f64 (cbrt.f64 (cos.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 x) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (cos.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 x) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (cos.f64 x))))))))

simplify148.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
787×fma-def_binary64
754×distribute-rgt-in_binary64
604×associate-*l*_binary64
600×distribute-rgt-out_binary64
583×distribute-lft-out_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
047318
1111312
2278302
3876293
43442291
55819291
66311291
76578291
86795291
97068291
107405291
Stop Event
1×node limit
Counts
88 → 70
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
eps
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(+.f64 eps (+.f64 (*.f64 1/24 (*.f64 eps (pow.f64 x 4))) (*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))))
(+.f64 (*.f64 -1/720 (*.f64 eps (pow.f64 x 6))) (+.f64 eps (+.f64 (*.f64 1/24 (*.f64 eps (pow.f64 x 4))) (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))))
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
1
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -1/96 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -1/96 (pow.f64 x 4)) (*.f64 -19/5760 (pow.f64 x 6)))))
Outputs
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)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 1/24 (pow.f64 x 4))))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 4) 1))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 1/24) -1/2) 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
(+.f64 1 (fma.f64 -1/2 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 4) (*.f64 -1/720 (pow.f64 x 6)))))
(+.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 1/24 (pow.f64 x 4))) (fma.f64 -1/720 (pow.f64 x 6) 1))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 1/24) -1/2) (fma.f64 -1/720 (pow.f64 x 6) 1))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 4) (fma.f64 -1/720 (pow.f64 x 6) 1)))
(fma.f64 1/24 (pow.f64 x 4) (fma.f64 -1/720 (pow.f64 x 6) (fma.f64 -1/2 (*.f64 x x) 1)))
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
(cos.f64 x)
eps
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(+.f64 eps (*.f64 (*.f64 -1/2 eps) (*.f64 x x)))
(fma.f64 (*.f64 -1/2 eps) (*.f64 x x) eps)
(fma.f64 (*.f64 x (*.f64 -1/2 eps)) x eps)
(*.f64 (fma.f64 -1/2 (*.f64 x x) 1) eps)
(fma.f64 x (*.f64 x (*.f64 -1/2 eps)) eps)
(fma.f64 x (*.f64 eps (*.f64 -1/2 x)) eps)
(+.f64 eps (+.f64 (*.f64 1/24 (*.f64 eps (pow.f64 x 4))) (*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))))
(+.f64 eps (fma.f64 1/24 (*.f64 (pow.f64 x 4) eps) (*.f64 (*.f64 -1/2 eps) (*.f64 x x))))
(+.f64 eps (fma.f64 1/24 (*.f64 (pow.f64 x 4) eps) (*.f64 (*.f64 x x) (*.f64 -1/2 eps))))
(+.f64 eps (*.f64 eps (fma.f64 -1/2 (*.f64 x x) (*.f64 1/24 (pow.f64 x 4)))))
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 4) 1)))
(*.f64 (fma.f64 -1/2 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 4) 1)) eps)
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 1/24) -1/2) 1) eps)
(+.f64 (*.f64 -1/720 (*.f64 eps (pow.f64 x 6))) (+.f64 eps (+.f64 (*.f64 1/24 (*.f64 eps (pow.f64 x 4))) (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))))
(fma.f64 -1/720 (*.f64 (pow.f64 x 6) eps) (+.f64 eps (fma.f64 1/24 (*.f64 (pow.f64 x 4) eps) (*.f64 (*.f64 -1/2 eps) (*.f64 x x)))))
(+.f64 (fma.f64 1/24 (*.f64 (pow.f64 x 4) eps) (*.f64 (*.f64 x x) (*.f64 -1/2 eps))) (fma.f64 -1/720 (*.f64 (pow.f64 x 6) eps) eps))
(+.f64 (*.f64 (fma.f64 1/24 (pow.f64 x 4) 1) eps) (*.f64 eps (fma.f64 -1/2 (*.f64 x x) (*.f64 -1/720 (pow.f64 x 6)))))
(+.f64 eps (*.f64 eps (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x 1/24) -1/2) (*.f64 -1/720 (pow.f64 x 6)))))
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 4) (fma.f64 -1/720 (pow.f64 x 6) 1))))
(*.f64 eps (fma.f64 1/24 (pow.f64 x 4) (fma.f64 -1/720 (pow.f64 x 6) (fma.f64 -1/2 (*.f64 x x) 1))))
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
1
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1 (*.f64 (*.f64 x x) -1/4))
(fma.f64 (*.f64 x x) -1/4 1)
(fma.f64 x (*.f64 x -1/4) 1)
(+.f64 1 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -1/96 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/4 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/96)))
(+.f64 1 (fma.f64 (*.f64 x x) -1/4 (*.f64 (pow.f64 x 4) -1/96)))
(fma.f64 x (*.f64 x -1/4) (fma.f64 (pow.f64 x 4) -1/96 1))
(fma.f64 (pow.f64 x 4) -1/96 (fma.f64 (*.f64 x x) -1/4 1))
(+.f64 1 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -1/96 (pow.f64 x 4)) (*.f64 -19/5760 (pow.f64 x 6)))))
(+.f64 1 (fma.f64 -1/4 (*.f64 x x) (fma.f64 -1/96 (pow.f64 x 4) (*.f64 (pow.f64 x 6) -19/5760))))
(+.f64 1 (fma.f64 (*.f64 x x) -1/4 (fma.f64 (pow.f64 x 4) -1/96 (*.f64 (pow.f64 x 6) -19/5760))))
(+.f64 1 (fma.f64 x (*.f64 x -1/4) (fma.f64 (pow.f64 x 6) -19/5760 (*.f64 (pow.f64 x 4) -1/96))))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x -1/96) -1/4) (fma.f64 (pow.f64 x 6) -19/5760 1))
(fma.f64 x (*.f64 x -1/4) (fma.f64 (pow.f64 x 4) -1/96 (fma.f64 (pow.f64 x 6) -19/5760 1)))

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2)
1.0b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
✓2.2b
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
3.5b
(sin.f64 (+.f64 x eps))
Compiler

Compiled 40 to 12 computations (70% saved)

series7.0ms (0%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@0
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
1.0ms
eps
@0
(pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2)
1.0ms
x
@0
(pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2)
1.0ms
x
@-inf
(pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2)
1.0ms
eps
@-inf
(pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2)

rewrite156.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
504×log-prod_binary64
494×fma-def_binary64
326×pow-prod-down_binary64
302×pow2_binary64
220×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01025
123625
2315925
Stop Event
1×node limit
Counts
2 → 157
Calls
Call 1
Inputs
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (+.f64 x eps)) (*.f64 (neg.f64 (sin.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (+.f64 x eps)) (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 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))) (/.f64 (pow.f64 (sin.f64 x) 3) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) 1/2))) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3))) (neg.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (+.f64 x eps)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (*.f64 (neg.f64 (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (sin.f64 (+.f64 x eps))) (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (pow.f64 (*.f64 (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 4) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3/2) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2) (*.f64 (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 5) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) 2) (pow.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) 2) (pow.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3))) (*.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2))) (*.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3))) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2))) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 (+.f64 x eps)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (sin.f64 (+.f64 x eps)) (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (neg.f64 (sin.f64 x))))))))

simplify72.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
544×distribute-rgt-neg-out_binary64
525×fma-def_binary64
484×associate-*r*_binary64
478×distribute-lft-neg-out_binary64
471×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0101901
1292887
2867850
34356847
Stop Event
1×node limit
Counts
205 → 193
Calls
Call 1
Inputs
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(pow.f64 (sin.f64 eps) 2)
(+.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 2 (*.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) x))))
(+.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (*.f64 (+.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2) (*.f64 -1 (pow.f64 (sin.f64 eps) 2))) (pow.f64 x 2)) (*.f64 2 (*.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) x)))))
(+.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (sin.f64 eps))) (*.f64 -1 (*.f64 (-.f64 (cos.f64 eps) 1) (sin.f64 eps)))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2) (*.f64 -1 (pow.f64 (sin.f64 eps) 2))) (pow.f64 x 2)) (*.f64 2 (*.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) x))))))
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)) 2)
(*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 3) (*.f64 (cos.f64 x) (sin.f64 x)))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2)))
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (pow.f64 (cos.f64 x) 2)) (*.f64 1/4 (pow.f64 (sin.f64 x) 2))) (pow.f64 eps 4)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 3) (*.f64 (cos.f64 x) (sin.f64 x)))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (pow.f64 (cos.f64 x) 2)) (*.f64 1/4 (pow.f64 (sin.f64 x) 2))) (pow.f64 eps 4)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 3) (*.f64 (cos.f64 x) (sin.f64 x)))) (+.f64 (*.f64 (+.f64 (*.f64 1/12 (*.f64 (cos.f64 x) (sin.f64 x))) (*.f64 1/6 (*.f64 (cos.f64 x) (sin.f64 x)))) (pow.f64 eps 5)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2)))))
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)) 2)
Outputs
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps)))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (*.f64 x x) (*.f64 (sin.f64 eps) -1/2) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (fma.f64 -1/6 (cos.f64 eps) 1/6) (pow.f64 x 3) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3) (sin.f64 eps))))
(fma.f64 (sin.f64 eps) (*.f64 x (*.f64 x -1/2)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3) (sin.f64 eps))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))
(fma.f64 eps (cos.f64 x) (*.f64 eps (*.f64 eps (*.f64 -1/2 (sin.f64 x)))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)))))
(+.f64 (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(fma.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (+.f64 (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))))
(fma.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 (sin.f64 x) (+.f64 (*.f64 eps (*.f64 eps -1/2)) (*.f64 1/24 (pow.f64 eps 4)))))
(fma.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 (sin.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 1/24 (pow.f64 eps 4)))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(pow.f64 (sin.f64 eps) 2)
(+.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 2 (*.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) x))))
(+.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (*.f64 2 (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) x)))
(fma.f64 2 (*.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 eps) x)) (pow.f64 (sin.f64 eps) 2))
(*.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) (*.f64 x (fma.f64 (cos.f64 eps) 2 -2))))
(+.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (*.f64 (+.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2) (*.f64 -1 (pow.f64 (sin.f64 eps) 2))) (pow.f64 x 2)) (*.f64 2 (*.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) x)))))
(+.f64 (pow.f64 (sin.f64 eps) 2) (fma.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (neg.f64 (pow.f64 (sin.f64 eps) 2))) (*.f64 x x) (*.f64 (*.f64 2 (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) x))))
(+.f64 (pow.f64 (sin.f64 eps) 2) (fma.f64 2 (*.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 eps) x)) (*.f64 x (*.f64 x (-.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (pow.f64 (sin.f64 eps) 2))))))
(fma.f64 x (*.f64 x (-.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (pow.f64 (sin.f64 eps) 2))) (*.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) (*.f64 x (fma.f64 (cos.f64 eps) 2 -2)))))
(+.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (sin.f64 eps))) (*.f64 -1 (*.f64 (-.f64 (cos.f64 eps) 1) (sin.f64 eps)))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2) (*.f64 -1 (pow.f64 (sin.f64 eps) 2))) (pow.f64 x 2)) (*.f64 2 (*.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) x))))))
(+.f64 (pow.f64 (sin.f64 eps) 2) (fma.f64 (fma.f64 2 (*.f64 (sin.f64 eps) (fma.f64 -1/6 (cos.f64 eps) 1/6)) (neg.f64 (*.f64 (sin.f64 eps) (+.f64 (cos.f64 eps) -1)))) (pow.f64 x 3) (fma.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (neg.f64 (pow.f64 (sin.f64 eps) 2))) (*.f64 x x) (*.f64 (*.f64 2 (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) x)))))
(+.f64 (pow.f64 (sin.f64 eps) 2) (fma.f64 (pow.f64 x 3) (*.f64 (sin.f64 eps) (+.f64 (*.f64 2 (fma.f64 (cos.f64 eps) -1/6 1/6)) (neg.f64 (+.f64 (cos.f64 eps) -1)))) (fma.f64 2 (*.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 eps) x)) (*.f64 x (*.f64 x (-.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (pow.f64 (sin.f64 eps) 2)))))))
(fma.f64 (pow.f64 x 3) (*.f64 (sin.f64 eps) (fma.f64 2 (fma.f64 (cos.f64 eps) -1/6 1/6) (fma.f64 (cos.f64 eps) -1 1))) (fma.f64 x (*.f64 x (-.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (pow.f64 (sin.f64 eps) 2))) (*.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) (*.f64 x (fma.f64 (cos.f64 eps) 2 -2))))))
(fma.f64 (pow.f64 x 3) (*.f64 (sin.f64 eps) (fma.f64 2 (fma.f64 (cos.f64 eps) -1/6 1/6) (-.f64 1 (cos.f64 eps)))) (fma.f64 x (*.f64 x (-.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (pow.f64 (sin.f64 eps) 2))) (*.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) (*.f64 x (fma.f64 (cos.f64 eps) 2 -2))))))
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)
(*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2))
(*.f64 (*.f64 eps eps) (pow.f64 (cos.f64 x) 2))
(*.f64 eps (*.f64 eps (pow.f64 (cos.f64 x) 2)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 3) (*.f64 (cos.f64 x) (sin.f64 x)))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2)))
(fma.f64 -1 (*.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (*.f64 eps eps) (pow.f64 (cos.f64 x) 2)))
(-.f64 (*.f64 (*.f64 eps eps) (pow.f64 (cos.f64 x) 2)) (*.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 eps 3))))
(*.f64 (cos.f64 x) (-.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (*.f64 (sin.f64 x) (pow.f64 eps 3))))
(*.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (*.f64 eps eps) (*.f64 (sin.f64 x) (pow.f64 (neg.f64 eps) 3))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (pow.f64 (cos.f64 x) 2)) (*.f64 1/4 (pow.f64 (sin.f64 x) 2))) (pow.f64 eps 4)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 3) (*.f64 (cos.f64 x) (sin.f64 x)))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2))))
(fma.f64 (fma.f64 -1/3 (pow.f64 (cos.f64 x) 2) (*.f64 1/4 (pow.f64 (sin.f64 x) 2))) (pow.f64 eps 4) (fma.f64 -1 (*.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (*.f64 eps eps) (pow.f64 (cos.f64 x) 2))))
(fma.f64 (pow.f64 eps 4) (fma.f64 (pow.f64 (cos.f64 x) 2) -1/3 (*.f64 1/4 (pow.f64 (sin.f64 x) 2))) (-.f64 (*.f64 (*.f64 eps eps) (pow.f64 (cos.f64 x) 2)) (*.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 eps 3)))))
(fma.f64 (pow.f64 eps 4) (fma.f64 (pow.f64 (cos.f64 x) 2) -1/3 (*.f64 1/4 (pow.f64 (sin.f64 x) 2))) (*.f64 (cos.f64 x) (-.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (*.f64 (sin.f64 x) (pow.f64 eps 3)))))
(fma.f64 (pow.f64 eps 4) (fma.f64 (pow.f64 (cos.f64 x) 2) -1/3 (*.f64 1/4 (pow.f64 (sin.f64 x) 2))) (*.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (*.f64 eps eps) (*.f64 (sin.f64 x) (pow.f64 (neg.f64 eps) 3)))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (pow.f64 (cos.f64 x) 2)) (*.f64 1/4 (pow.f64 (sin.f64 x) 2))) (pow.f64 eps 4)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 3) (*.f64 (cos.f64 x) (sin.f64 x)))) (+.f64 (*.f64 (+.f64 (*.f64 1/12 (*.f64 (cos.f64 x) (sin.f64 x))) (*.f64 1/6 (*.f64 (cos.f64 x) (sin.f64 x)))) (pow.f64 eps 5)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2)))))
(fma.f64 (fma.f64 -1/3 (pow.f64 (cos.f64 x) 2) (*.f64 1/4 (pow.f64 (sin.f64 x) 2))) (pow.f64 eps 4) (fma.f64 -1 (*.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) (cos.f64 x))) (fma.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 x)) 1/4) (pow.f64 eps 5) (*.f64 (*.f64 eps eps) (pow.f64 (cos.f64 x) 2)))))
(fma.f64 (pow.f64 eps 4) (fma.f64 (pow.f64 (cos.f64 x) 2) -1/3 (*.f64 1/4 (pow.f64 (sin.f64 x) 2))) (-.f64 (fma.f64 (*.f64 eps eps) (pow.f64 (cos.f64 x) 2) (*.f64 (*.f64 (sin.f64 x) (cos.f64 x)) (*.f64 1/4 (pow.f64 eps 5)))) (*.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 eps 3)))))
(fma.f64 (pow.f64 eps 4) (fma.f64 (pow.f64 (cos.f64 x) 2) -1/3 (*.f64 1/4 (pow.f64 (sin.f64 x) 2))) (fma.f64 eps (*.f64 eps (pow.f64 (cos.f64 x) 2)) (*.f64 (*.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (neg.f64 (pow.f64 eps 3)) (*.f64 1/4 (pow.f64 eps 5))))))
(fma.f64 (pow.f64 eps 4) (fma.f64 (pow.f64 (cos.f64 x) 2) -1/3 (*.f64 1/4 (pow.f64 (sin.f64 x) 2))) (fma.f64 eps (*.f64 eps (pow.f64 (cos.f64 x) 2)) (*.f64 (*.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 1/4 (pow.f64 eps 5)) (pow.f64 eps 3)))))
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (cos.f64 eps))))
0.1b
(*.f64 (cos.f64 x) (sin.f64 eps))
✓0.3b
(log1p.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))
✓4.0b
(-.f64 (+.f64 (expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
Compiler

Compiled 64 to 12 computations (81.3% saved)

series145.0ms (0.8%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
87.0ms
x
@inf
(log1p.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))
21.0ms
eps
@inf
(log1p.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))
15.0ms
eps
@-inf
(log1p.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))
15.0ms
x
@-inf
(log1p.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))
1.0ms
eps
@0
(log1p.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))

rewrite161.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
800×fma-def_binary64
670×log-prod_binary64
407×fma-neg_binary64
250×expm1-udef_binary64
250×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01341
126629
2389529
Stop Event
1×node limit
Counts
3 → 222
Calls
Call 1
Inputs
(-.f64 (+.f64 (expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(log1p.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (cos.f64 eps))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (+.f64 x eps)) (*.f64 (neg.f64 (sin.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (+.f64 x eps)) (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 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1)))) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (*.f64 (sin.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) 1)) (cbrt.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) 1)))) (log.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) 1))) (log.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (*.f64 (sin.f64 x) (cos.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (*.f64 (sin.f64 x) (cos.f64 eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2))) (log.f64 (-.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (*.f64 (sin.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) 2) (cbrt.f64 (log1p.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) (sqrt.f64 (log1p.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (cos.f64 eps))) (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (cos.f64 eps))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (cos.f64 eps)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 eps) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (*.f64 (cbrt.f64 (cos.f64 eps)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 eps)) (*.f64 (sqrt.f64 (cos.f64 eps)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 x eps))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (cbrt.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (sqrt.f64 (cos.f64 eps))) (sqrt.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 eps) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 eps) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 2 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 x eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 x eps)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) 1) 3) 1) (fma.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) 1) (fma.f64 (sin.f64 x) (cos.f64 eps) 1) (+.f64 1 (*.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) 1) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) 1) (fma.f64 (sin.f64 x) (cos.f64 eps) 1) -1) (+.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (sin.f64 x) (cos.f64 eps) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) 1)) (cbrt.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) 1))) (cbrt.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) 1)) (sqrt.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) 1)) -1)))))

simplify86.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
733×fma-def_binary64
681×associate-*l*_binary64
671×associate-*r*_binary64
600×distribute-rgt-out_binary64
547×unswap-sqr_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01321355
13921339
212521270
363021260
Stop Event
1×node limit
Counts
294 → 269
Calls
Call 1
Inputs
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(*.f64 (cos.f64 eps) x)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 x 2))) (*.f64 (cos.f64 eps) x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 x 2))) (+.f64 (*.f64 (cos.f64 eps) x) (*.f64 1/6 (*.f64 (+.f64 (*.f64 2 (pow.f64 (cos.f64 eps) 3)) (*.f64 -1 (cos.f64 eps))) (pow.f64 x 3)))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 x 2))) (+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 2 (pow.f64 (cos.f64 eps) 3)) (*.f64 -1 (cos.f64 eps))) (pow.f64 x 3))) (*.f64 1/24 (*.f64 (pow.f64 x 4) (+.f64 (*.f64 -6 (pow.f64 (cos.f64 eps) 4)) (*.f64 4 (pow.f64 (cos.f64 eps) 2))))))))
(log.f64 (+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x))))
(log.f64 (+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x))))
(log.f64 (+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x))))
(log.f64 (+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x))))
(log.f64 (+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x))))
(log.f64 (+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x))))
(log.f64 (+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x))))
(log.f64 (+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x))))
(log.f64 (+.f64 1 (sin.f64 x)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (+.f64 1 (sin.f64 x)))) (log.f64 (+.f64 1 (sin.f64 x))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (+.f64 1 (sin.f64 x)))) (+.f64 (log.f64 (+.f64 1 (sin.f64 x))) (*.f64 1/24 (*.f64 (pow.f64 eps 4) (+.f64 (/.f64 (sin.f64 x) (+.f64 1 (sin.f64 x))) (*.f64 -3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 1 (sin.f64 x)) 2))))))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (+.f64 1 (sin.f64 x)))) (+.f64 (log.f64 (+.f64 1 (sin.f64 x))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (+.f64 (/.f64 (sin.f64 x) (+.f64 1 (sin.f64 x))) (*.f64 -3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 1 (sin.f64 x)) 2)))))) (*.f64 1/720 (*.f64 (pow.f64 eps 6) (+.f64 (*.f64 -30 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 1 (sin.f64 x)) 3))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (+.f64 1 (sin.f64 x)))) (*.f64 15 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 1 (sin.f64 x)) 2))))))))))
(log.f64 (+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x))))
(log.f64 (+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x))))
(log.f64 (+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x))))
(log.f64 (+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x))))
(log.f64 (+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x))))
(log.f64 (+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x))))
(log.f64 (+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x))))
(log.f64 (+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x))))
(*.f64 (cos.f64 eps) x)
(+.f64 (*.f64 (cos.f64 eps) x) (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))))
(+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (*.f64 1/120 (*.f64 (cos.f64 eps) (pow.f64 x 5)))))
(+.f64 (*.f64 -1/5040 (*.f64 (cos.f64 eps) (pow.f64 x 7))) (+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (*.f64 1/120 (*.f64 (cos.f64 eps) (pow.f64 x 5))))))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(sin.f64 x)
(+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (sin.f64 x) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 eps 6) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
Outputs
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps)))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (sin.f64 eps) (*.f64 x (*.f64 x -1/2)) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (fma.f64 -1/6 (cos.f64 eps) 1/6) (pow.f64 x 3) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3) (sin.f64 eps))))
(fma.f64 (sin.f64 eps) (*.f64 x (*.f64 x -1/2)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3) (sin.f64 eps))))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(fma.f64 eps (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))))
(fma.f64 eps (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x)))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)))))
(+.f64 (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(fma.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (+.f64 (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))))
(fma.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 (sin.f64 x) (+.f64 (*.f64 eps (*.f64 eps -1/2)) (*.f64 1/24 (pow.f64 eps 4)))))
(fma.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 (sin.f64 x) (*.f64 eps (+.f64 (*.f64 1/24 (pow.f64 eps 3)) (*.f64 eps -1/2)))))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(*.f64 (cos.f64 eps) x)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 x 2))) (*.f64 (cos.f64 eps) x))
(fma.f64 -1/2 (*.f64 (*.f64 x x) (pow.f64 (cos.f64 eps) 2)) (*.f64 (cos.f64 eps) x))
(fma.f64 (cos.f64 eps) x (*.f64 (*.f64 x x) (*.f64 -1/2 (pow.f64 (cos.f64 eps) 2))))
(*.f64 x (+.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 x (pow.f64 (cos.f64 eps) 2)))))
(*.f64 (cos.f64 eps) (+.f64 x (*.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x)))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 x 2))) (+.f64 (*.f64 (cos.f64 eps) x) (*.f64 1/6 (*.f64 (+.f64 (*.f64 2 (pow.f64 (cos.f64 eps) 3)) (*.f64 -1 (cos.f64 eps))) (pow.f64 x 3)))))
(fma.f64 -1/2 (*.f64 (*.f64 x x) (pow.f64 (cos.f64 eps) 2)) (fma.f64 (cos.f64 eps) x (*.f64 1/6 (*.f64 (pow.f64 x 3) (fma.f64 2 (pow.f64 (cos.f64 eps) 3) (neg.f64 (cos.f64 eps)))))))
(fma.f64 -1/2 (*.f64 (*.f64 x x) (pow.f64 (cos.f64 eps) 2)) (fma.f64 (cos.f64 eps) x (*.f64 (fma.f64 2 (pow.f64 (cos.f64 eps) 3) (neg.f64 (cos.f64 eps))) (*.f64 (pow.f64 x 3) 1/6))))
(fma.f64 (cos.f64 eps) x (*.f64 (*.f64 x x) (+.f64 (*.f64 (fma.f64 2 (pow.f64 (cos.f64 eps) 3) (neg.f64 (cos.f64 eps))) (*.f64 1/6 x)) (*.f64 -1/2 (pow.f64 (cos.f64 eps) 2)))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 x 2))) (+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 2 (pow.f64 (cos.f64 eps) 3)) (*.f64 -1 (cos.f64 eps))) (pow.f64 x 3))) (*.f64 1/24 (*.f64 (pow.f64 x 4) (+.f64 (*.f64 -6 (pow.f64 (cos.f64 eps) 4)) (*.f64 4 (pow.f64 (cos.f64 eps) 2))))))))
(fma.f64 -1/2 (*.f64 (*.f64 x x) (pow.f64 (cos.f64 eps) 2)) (fma.f64 (cos.f64 eps) x (fma.f64 1/6 (*.f64 (pow.f64 x 3) (fma.f64 2 (pow.f64 (cos.f64 eps) 3) (neg.f64 (cos.f64 eps)))) (*.f64 (*.f64 1/24 (pow.f64 x 4)) (fma.f64 -6 (pow.f64 (cos.f64 eps) 4) (*.f64 4 (pow.f64 (cos.f64 eps) 2)))))))
(fma.f64 -1/2 (*.f64 (*.f64 x x) (pow.f64 (cos.f64 eps) 2)) (fma.f64 (cos.f64 eps) x (fma.f64 1/6 (*.f64 (pow.f64 x 3) (fma.f64 2 (pow.f64 (cos.f64 eps) 3) (neg.f64 (cos.f64 eps)))) (*.f64 (fma.f64 4 (pow.f64 (cos.f64 eps) 2) (*.f64 -6 (pow.f64 (cos.f64 eps) 4))) (*.f64 1/24 (pow.f64 x 4))))))
(fma.f64 (cos.f64 eps) x (fma.f64 -1/2 (*.f64 x (*.f64 x (pow.f64 (cos.f64 eps) 2))) (fma.f64 1/6 (*.f64 (pow.f64 x 3) (fma.f64 2 (pow.f64 (cos.f64 eps) 3) (neg.f64 (cos.f64 eps)))) (*.f64 (fma.f64 4 (pow.f64 (cos.f64 eps) 2) (*.f64 -6 (pow.f64 (cos.f64 eps) 4))) (*.f64 1/24 (pow.f64 x 4))))))
(fma.f64 (cos.f64 eps) x (fma.f64 -1/2 (*.f64 x (*.f64 x (pow.f64 (cos.f64 eps) 2))) (*.f64 (pow.f64 x 3) (+.f64 (+.f64 (*.f64 (cos.f64 eps) -1/6) (*.f64 (pow.f64 (cos.f64 eps) 3) 1/3)) (*.f64 (*.f64 1/24 (fma.f64 4 (pow.f64 (cos.f64 eps) 2) (*.f64 -6 (pow.f64 (cos.f64 eps) 4)))) x)))))
(log.f64 (+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x))))
(log1p.f64 (*.f64 (cos.f64 eps) (sin.f64 x)))
(log.f64 (+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x))))
(log1p.f64 (*.f64 (cos.f64 eps) (sin.f64 x)))
(log.f64 (+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x))))
(log1p.f64 (*.f64 (cos.f64 eps) (sin.f64 x)))
(log.f64 (+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x))))
(log1p.f64 (*.f64 (cos.f64 eps) (sin.f64 x)))
(log.f64 (+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x))))
(log1p.f64 (*.f64 (cos.f64 eps) (sin.f64 x)))
(log.f64 (+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x))))
(log1p.f64 (*.f64 (cos.f64 eps) (sin.f64 x)))
(log.f64 (+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x))))
(log1p.f64 (*.f64 (cos.f64 eps) (sin.f64 x)))
(log.f64 (+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x))))
(log1p.f64 (*.f64 (cos.f64 eps) (sin.f64 x)))
(log.f64 (+.f64 1 (sin.f64 x)))
(log1p.f64 (sin.f64 x))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (+.f64 1 (sin.f64 x)))) (log.f64 (+.f64 1 (sin.f64 x))))
(fma.f64 -1/2 (/.f64 (*.f64 (sin.f64 x) (*.f64 eps eps)) (+.f64 1 (sin.f64 x))) (log1p.f64 (sin.f64 x)))
(fma.f64 -1/2 (*.f64 (/.f64 (*.f64 eps eps) (+.f64 1 (sin.f64 x))) (sin.f64 x)) (log1p.f64 (sin.f64 x)))
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) (/.f64 (sin.f64 x) (+.f64 1 (sin.f64 x)))) (log1p.f64 (sin.f64 x)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (+.f64 1 (sin.f64 x)))) (+.f64 (log.f64 (+.f64 1 (sin.f64 x))) (*.f64 1/24 (*.f64 (pow.f64 eps 4) (+.f64 (/.f64 (sin.f64 x) (+.f64 1 (sin.f64 x))) (*.f64 -3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 1 (sin.f64 x)) 2))))))))
(+.f64 (fma.f64 -1/2 (/.f64 (*.f64 (sin.f64 x) (*.f64 eps eps)) (+.f64 1 (sin.f64 x))) (log1p.f64 (sin.f64 x))) (*.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (/.f64 (sin.f64 x) (+.f64 1 (sin.f64 x))) (/.f64 (*.f64 -3 (pow.f64 (sin.f64 x) 2)) (pow.f64 (+.f64 1 (sin.f64 x)) 2)))))
(fma.f64 -1/2 (*.f64 (/.f64 (*.f64 eps eps) (+.f64 1 (sin.f64 x))) (sin.f64 x)) (fma.f64 1/24 (*.f64 (pow.f64 eps 4) (fma.f64 -3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 1 (sin.f64 x)) 2)) (/.f64 (sin.f64 x) (+.f64 1 (sin.f64 x))))) (log1p.f64 (sin.f64 x))))
(fma.f64 (pow.f64 eps 4) (*.f64 1/24 (fma.f64 -3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 1 (sin.f64 x)) 2)) (/.f64 (sin.f64 x) (+.f64 1 (sin.f64 x))))) (fma.f64 -1/2 (*.f64 (*.f64 eps eps) (/.f64 (sin.f64 x) (+.f64 1 (sin.f64 x)))) (log1p.f64 (sin.f64 x))))
(fma.f64 (pow.f64 eps 4) (*.f64 1/24 (*.f64 (+.f64 (*.f64 -3 (/.f64 (sin.f64 x) (+.f64 1 (sin.f64 x)))) 1) (/.f64 (sin.f64 x) (+.f64 1 (sin.f64 x))))) (fma.f64 -1/2 (*.f64 (*.f64 eps eps) (/.f64 (sin.f64 x) (+.f64 1 (sin.f64 x)))) (log1p.f64 (sin.f64 x))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (+.f64 1 (sin.f64 x)))) (+.f64 (log.f64 (+.f64 1 (sin.f64 x))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (+.f64 (/.f64 (sin.f64 x) (+.f64 1 (sin.f64 x))) (*.f64 -3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 1 (sin.f64 x)) 2)))))) (*.f64 1/720 (*.f64 (pow.f64 eps 6) (+.f64 (*.f64 -30 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 1 (sin.f64 x)) 3))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (+.f64 1 (sin.f64 x)))) (*.f64 15 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 1 (sin.f64 x)) 2))))))))))
(+.f64 (fma.f64 -1/2 (/.f64 (*.f64 (sin.f64 x) (*.f64 eps eps)) (+.f64 1 (sin.f64 x))) (log1p.f64 (sin.f64 x))) (fma.f64 1/24 (*.f64 (pow.f64 eps 4) (+.f64 (/.f64 (sin.f64 x) (+.f64 1 (sin.f64 x))) (/.f64 (*.f64 -3 (pow.f64 (sin.f64 x) 2)) (pow.f64 (+.f64 1 (sin.f64 x)) 2)))) (*.f64 (*.f64 1/720 (pow.f64 eps 6)) (fma.f64 -30 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 1 (sin.f64 x)) 3)) (fma.f64 -1 (/.f64 (sin.f64 x) (+.f64 1 (sin.f64 x))) (/.f64 (*.f64 15 (pow.f64 (sin.f64 x) 2)) (pow.f64 (+.f64 1 (sin.f64 x)) 2)))))))
(+.f64 (fma.f64 -1/2 (*.f64 (/.f64 (*.f64 eps eps) (+.f64 1 (sin.f64 x))) (sin.f64 x)) (log1p.f64 (sin.f64 x))) (fma.f64 1/24 (*.f64 (pow.f64 eps 4) (fma.f64 -3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 1 (sin.f64 x)) 2)) (/.f64 (sin.f64 x) (+.f64 1 (sin.f64 x))))) (*.f64 (fma.f64 -30 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 1 (sin.f64 x)) 3)) (-.f64 (/.f64 15 (/.f64 (pow.f64 (+.f64 1 (sin.f64 x)) 2) (pow.f64 (sin.f64 x) 2))) (/.f64 (sin.f64 x) (+.f64 1 (sin.f64 x))))) (*.f64 1/720 (pow.f64 eps 6)))))
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) (/.f64 (sin.f64 x) (+.f64 1 (sin.f64 x)))) (fma.f64 1/24 (*.f64 (pow.f64 eps 4) (fma.f64 -3 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 1 (sin.f64 x)) 2)) (/.f64 (sin.f64 x) (+.f64 1 (sin.f64 x))))) (fma.f64 1/720 (*.f64 (pow.f64 eps 6) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 1 (sin.f64 x)) 2)) 15 (-.f64 (*.f64 -30 (pow.f64 (/.f64 (sin.f64 x) (+.f64 1 (sin.f64 x))) 3)) (/.f64 (sin.f64 x) (+.f64 1 (sin.f64 x)))))) (log1p.f64 (sin.f64 x)))))
(+.f64 (+.f64 (*.f64 (*.f64 (pow.f64 eps 4) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 1 (sin.f64 x)) 2))) -1/8) (*.f64 (*.f64 (*.f64 eps eps) (/.f64 (sin.f64 x) (+.f64 1 (sin.f64 x)))) (+.f64 (*.f64 (*.f64 eps eps) 1/24) -1/2))) (fma.f64 1/720 (*.f64 (pow.f64 eps 6) (fma.f64 -30 (pow.f64 (/.f64 (sin.f64 x) (+.f64 1 (sin.f64 x))) 3) (*.f64 (/.f64 (sin.f64 x) (+.f64 1 (sin.f64 x))) (+.f64 -1 (*.f64 15 (/.f64 (sin.f64 x) (+.f64 1 (sin.f64 x)))))))) (log1p.f64 (sin.f64 x))))
(log.f64 (+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x))))
(log1p.f64 (*.f64 (cos.f64 eps) (sin.f64 x)))
(log.f64 (+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x))))
(log1p.f64 (*.f64 (cos.f64 eps) (sin.f64 x)))
(log.f64 (+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x))))
(log1p.f64 (*.f64 (cos.f64 eps) (sin.f64 x)))
(log.f64 (+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x))))
(log1p.f64 (*.f64 (cos.f64 eps) (sin.f64 x)))
(log.f64 (+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x))))
(log1p.f64 (*.f64 (cos.f64 eps) (sin.f64 x)))
(log.f64 (+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x))))
(log1p.f64 (*.f64 (cos.f64 eps) (sin.f64 x)))
(log.f64 (+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x))))
(log1p.f64 (*.f64 (cos.f64 eps) (sin.f64 x)))
(log.f64 (+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x))))
(log1p.f64 (*.f64 (cos.f64 eps) (sin.f64 x)))
(*.f64 (cos.f64 eps) x)
(+.f64 (*.f64 (cos.f64 eps) x) (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))))
(fma.f64 (cos.f64 eps) x (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))))
(fma.f64 (cos.f64 eps) x (*.f64 (cos.f64 eps) (*.f64 -1/6 (pow.f64 x 3))))
(*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(*.f64 (cos.f64 eps) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (*.f64 1/120 (*.f64 (cos.f64 eps) (pow.f64 x 5)))))
(fma.f64 (cos.f64 eps) x (fma.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3)) (*.f64 1/120 (*.f64 (cos.f64 eps) (pow.f64 x 5)))))
(fma.f64 (cos.f64 eps) x (fma.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3)) (*.f64 (cos.f64 eps) (*.f64 (pow.f64 x 5) 1/120))))
(fma.f64 (pow.f64 x 5) (*.f64 (cos.f64 eps) 1/120) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))
(fma.f64 (pow.f64 x 5) (*.f64 (cos.f64 eps) 1/120) (*.f64 (cos.f64 eps) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))
(+.f64 (*.f64 -1/5040 (*.f64 (cos.f64 eps) (pow.f64 x 7))) (+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (*.f64 1/120 (*.f64 (cos.f64 eps) (pow.f64 x 5))))))
(fma.f64 -1/5040 (*.f64 (cos.f64 eps) (pow.f64 x 7)) (fma.f64 (cos.f64 eps) x (fma.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3)) (*.f64 1/120 (*.f64 (cos.f64 eps) (pow.f64 x 5))))))
(fma.f64 -1/5040 (*.f64 (cos.f64 eps) (pow.f64 x 7)) (fma.f64 (cos.f64 eps) x (fma.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3)) (*.f64 (cos.f64 eps) (*.f64 (pow.f64 x 5) 1/120)))))
(+.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) (*.f64 (cos.f64 eps) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 -1/5040 (pow.f64 x 7)))))
(+.f64 (*.f64 (cos.f64 eps) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/5040 (pow.f64 x 7)) (*.f64 1/120 (pow.f64 x 5)))))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(sin.f64 x)
(+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(*.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 1) (sin.f64 x))
(*.f64 (sin.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 1) (sin.f64 x)))
(*.f64 (sin.f64 x) (+.f64 (*.f64 eps (*.f64 eps -1/2)) (fma.f64 1/24 (pow.f64 eps 4) 1)))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (sin.f64 x) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 eps 6) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (+.f64 (sin.f64 x) (fma.f64 -1/720 (*.f64 (sin.f64 x) (pow.f64 eps 6)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 (pow.f64 eps 6) -1/720))) (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) 1) (sin.f64 x)))
(fma.f64 (sin.f64 x) (fma.f64 -1/2 (*.f64 eps eps) (*.f64 (pow.f64 eps 6) -1/720)) (*.f64 (sin.f64 x) (fma.f64 1/24 (pow.f64 eps 4) 1)))
(*.f64 (sin.f64 x) (+.f64 (fma.f64 -1/2 (*.f64 eps eps) (*.f64 (pow.f64 eps 6) -1/720)) (fma.f64 1/24 (pow.f64 eps 4) 1)))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))

eval497.0ms (2.6%)

Compiler

Compiled 22652 to 7626 computations (66.3% saved)

prune437.0ms (2.3%)

Pruning

70 alts after pruning (63 fresh and 7 done)

PrunedKeptTotal
New1096281124
Fresh293564
Picked011
Done167
Total1126701196
Error
0.0b
Counts
1196 → 70
Alt Table
Click to see full alt table
StatusErrorProgram
21.0b
(-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))
35.0b
(*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x)))
28.5b
(+.f64 (sin.f64 eps) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
✓42.5b
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 x)) 2) eps)
36.8b
(*.f64 (*.f64 (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
18.9b
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 2))
0.5b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
34.6b
(-.f64 (sin.f64 eps) (cbrt.f64 (pow.f64 (sin.f64 x) 3)))
▶21.7b
(-.f64 (+.f64 (-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) 1) 1) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
▶38.2b
(-.f64 (sin.f64 (+.f64 x eps)) x)
0.7b
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 3))
36.6b
(-.f64 (sin.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (sin.f64 x))))
0.5b
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
53.7b
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
37.0b
(-.f64 (sin.f64 eps) (sin.f64 x))
29.5b
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) eps))
36.7b
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
37.2b
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
36.7b
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
22.0b
(fma.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))) (cbrt.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))) (cbrt.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))) (*.f64 (sin.f64 x) (cos.f64 eps)))
▶0.5b
(fma.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (cos.f64 x)))
42.2b
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) 2)) (sin.f64 x))
42.0b
(fma.f64 (*.f64 (cos.f64 eps) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
35.0b
(*.f64 (-.f64 (+.f64 1 (cos.f64 x)) 1) eps)
21.6b
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) 3)) (sin.f64 x))
30.5b
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
1.5b
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) 2) (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
52.8b
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
37.3b
(-.f64 (sin.f64 (+.f64 x eps)) (log.f64 (exp.f64 (sin.f64 x))))
21.5b
(-.f64 (+.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 3) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
42.0b
(expm1.f64 (log.f64 (+.f64 1 (sin.f64 eps))))
✓21.0b
(-.f64 (+.f64 (expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
▶35.4b
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
✓0.5b
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
▶48.7b
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
0.5b
(fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x))))
37.8b
(-.f64 (sin.f64 (+.f64 x eps)) (sqrt.f64 (pow.f64 (sin.f64 x) 2)))
35.3b
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
34.2b
(expm1.f64 (*.f64 (cos.f64 x) eps))
36.7b
(-.f64 (sin.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (sin.f64 x)) 3))
26.6b
(+.f64 (log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 eps) (cos.f64 x))))) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
21.6b
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
34.9b
(*.f64 (log1p.f64 (expm1.f64 (cos.f64 x))) eps)
0.5b
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (log.f64 (exp.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
✓36.6b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
33.9b
(fma.f64 (*.f64 (cos.f64 x) (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
✓34.8b
(*.f64 (cos.f64 x) eps)
21.5b
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)) (neg.f64 (sin.f64 x))))
37.5b
(fma.f64 (cos.f64 eps) x (-.f64 (sin.f64 eps) x))
37.3b
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
40.9b
(fma.f64 (*.f64 (sin.f64 x) (sqrt.f64 (cos.f64 eps))) (sqrt.f64 (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
35.0b
(fma.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)) (*.f64 eps (cos.f64 x)))
34.9b
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 3)) eps)
61.2b
(-.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (sin.f64 x) 3)))
47.1b
(sqrt.f64 (pow.f64 (sin.f64 eps) 2))
14.7b
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (sin.f64 x) (sin.f64 x)))
42.2b
(-.f64 (+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1) 1)
61.3b
(-.f64 (sin.f64 x) (sin.f64 x))
21.6b
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
18.9b
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (exp.f64 (log.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
35.2b
(-.f64 (+.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
32.9b
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4)))))
42.0b
(*.f64 (sqrt.f64 (pow.f64 (cos.f64 x) 2)) eps)
21.0b
(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
16.8b
(fma.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
37.7b
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
56.7b
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2)))
✓20.9b
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
✓29.4b
(sin.f64 eps)
48.7b
eps
Compiler

Compiled 1891 to 1272 computations (32.7% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sin.f64 x)
✓0.1b
(fma.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (cos.f64 x)))
0.1b
(*.f64 (sin.f64 eps) (cos.f64 x))
✓1.7b
(-.f64 (cos.f64 eps) 1)
Compiler

Compiled 34 to 13 computations (61.8% saved)

series4.0ms (0%)

Counts
2 → 28
Calls

9 calls:

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

rewrite214.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
514×log-prod_binary64
511×prod-diff_binary64
332×pow-prod-down_binary64
300×pow2_binary64
236×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01125
122825
2291425
Stop Event
1×node limit
Counts
2 → 73
Calls
Call 1
Inputs
(-.f64 (cos.f64 eps) 1)
(fma.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (cos.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 eps) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (cos.f64 eps) 3) -1) (/.f64 1 (+.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) 1) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) 1) (cos.f64 eps)) (+.f64 (pow.f64 (cos.f64 eps) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (cos.f64 eps) 1) (neg.f64 (pow.f64 (sin.f64 eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (cos.f64 eps) 3) -1) (+.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) 1) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (cos.f64 eps) 3) -1) (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 3) -1)) (neg.f64 (+.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) 1) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2))) (neg.f64 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (cos.f64 eps) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) 1) (cos.f64 eps)) (+.f64 (pow.f64 (cos.f64 eps) 3) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (neg.f64 (pow.f64 (sin.f64 eps) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log.f64 (cos.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (cos.f64 eps) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 eps) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cos.f64 eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (cos.f64 eps)) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (*.f64 (cbrt.f64 (cos.f64 eps)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 eps)) (*.f64 (sqrt.f64 (cos.f64 eps)) 1) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 1) (*.f64 (sin.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))) 2) (cbrt.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))) (sqrt.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2) (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (*.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2)) (-.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (exp.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 eps) (cos.f64 x)))) (exp.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) (+.f64 1 (expm1.f64 (*.f64 (sin.f64 eps) (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))) 1))))))

simplify65.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
817×distribute-rgt-out_binary64
518×*-commutative_binary64
368×unswap-sqr_binary64
323×distribute-lft-in_binary64
308×distribute-rgt-in_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
060548
1160546
2425533
31447532
43117532
54873531
Stop Event
1×node limit
Counts
101 → 98
Calls
Call 1
Inputs
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 -1/720 (pow.f64 eps 6)) (*.f64 1/40320 (pow.f64 eps 8)))))
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 -1/6 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (sin.f64 eps))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(*.f64 (cos.f64 x) eps)
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
Outputs
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (*.f64 eps eps))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/2 (*.f64 eps eps)))
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4)))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) (*.f64 -1/720 (pow.f64 eps 6))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/720 (pow.f64 eps 6) (*.f64 -1/2 (*.f64 eps eps))))
(fma.f64 -1/2 (*.f64 eps eps) (fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 -1/720 (pow.f64 eps 6)) (*.f64 1/40320 (pow.f64 eps 8)))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) (*.f64 1/40320 (pow.f64 eps 8)))))
(fma.f64 -1/2 (*.f64 eps eps) (fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/720 (pow.f64 eps 6) (*.f64 1/40320 (pow.f64 eps 8)))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/720 (pow.f64 eps 6) (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/40320 (pow.f64 eps 8)))))
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps))
(fma.f64 (-.f64 (cos.f64 eps) 1) x (sin.f64 eps))
(fma.f64 (cos.f64 eps) x (-.f64 (sin.f64 eps) x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (-.f64 (cos.f64 eps) 1) x (sin.f64 eps)))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (sin.f64 eps) (*.f64 -1/2 (*.f64 x x)) (sin.f64 eps)))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (sin.f64 eps)))
(fma.f64 x (+.f64 (cos.f64 eps) (*.f64 x (*.f64 -1/2 (sin.f64 eps)))) (-.f64 (sin.f64 eps) x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 -1/6 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 -1/6 (*.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 x 3)) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (-.f64 (cos.f64 eps) 1) x (fma.f64 -1/6 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 3)) (sin.f64 eps))))
(+.f64 (sin.f64 eps) (fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))))
(+.f64 (sin.f64 eps) (fma.f64 -1/2 (*.f64 x (*.f64 (sin.f64 eps) x)) (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (-.f64 (cos.f64 eps) 1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (-.f64 (cos.f64 eps) 1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (-.f64 (cos.f64 eps) 1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (-.f64 (cos.f64 eps) 1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (-.f64 (cos.f64 eps) 1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (-.f64 (cos.f64 eps) 1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (-.f64 (cos.f64 eps) 1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (-.f64 (cos.f64 eps) 1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))))
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)) (*.f64 eps (cos.f64 x)))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x)))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)))))
(+.f64 (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(fma.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(fma.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x)) (fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))))))
(fma.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x)) (+.f64 (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))))
(fma.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 (sin.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/2 (*.f64 eps eps)))))
(fma.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4))) (sin.f64 x)))
(fma.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 (fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/2 (*.f64 eps eps))) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (-.f64 (cos.f64 eps) 1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (-.f64 (cos.f64 eps) 1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (-.f64 (cos.f64 eps) 1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (-.f64 (cos.f64 eps) 1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (-.f64 (cos.f64 eps) 1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (-.f64 (cos.f64 eps) 1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (-.f64 (cos.f64 eps) 1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (-.f64 (cos.f64 eps) 1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))

localize38.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓1.8b
(-.f64 (sin.f64 (+.f64 x eps)) x)
3.5b
(sin.f64 (+.f64 x eps))
Compiler

Compiled 17 to 5 computations (70.6% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(-.f64 (sin.f64 (+.f64 x eps)) x)
0.0ms
x
@inf
(-.f64 (sin.f64 (+.f64 x eps)) x)
0.0ms
eps
@0
(-.f64 (sin.f64 (+.f64 x eps)) x)
0.0ms
x
@-inf
(-.f64 (sin.f64 (+.f64 x eps)) x)
0.0ms
eps
@inf
(-.f64 (sin.f64 (+.f64 x eps)) x)

rewrite55.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
943×pow1_binary64
878×add-log-exp_binary64
878×log1p-expm1-u_binary64
878×expm1-log1p-u_binary64
861×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
11459
222439
Stop Event
1×node limit
Counts
1 → 37
Calls
Call 1
Inputs
(-.f64 (sin.f64 (+.f64 x eps)) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (+.f64 x eps)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (+.f64 x eps)) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (+.f64 x eps)) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (+.f64 x eps)) 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 (+.f64 x eps)) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (sin.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sin.f64 (+.f64 x eps)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) x)) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) x)) 2) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) x)) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 x (+.f64 x (sin.f64 (+.f64 x eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (sin.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 x (+.f64 x (sin.f64 (+.f64 x eps))))) (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (sin.f64 (+.f64 x eps))) (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 x (+.f64 x (sin.f64 (+.f64 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 x x)) (+.f64 x (sin.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 x (+.f64 x (sin.f64 (+.f64 x eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 x x))) (neg.f64 (+.f64 x (sin.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (sin.f64 (+.f64 x eps)) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (sin.f64 (+.f64 x eps)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sin.f64 (+.f64 x eps)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (cbrt.f64 (sin.f64 (+.f64 x eps))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 (+.f64 x eps))) (neg.f64 x))))))

simplify77.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
444×unswap-sqr_binary64
421×neg-sub0_binary64
401×neg-mul-1_binary64
382×associate-+l-_binary64
264×distribute-lft-out_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
055289
1155287
2374281
31459279
44080279
57391279
Stop Event
1×node limit
Counts
61 → 57
Calls
Call 1
Inputs
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (sin.f64 eps))))
(*.f64 -1 x)
(+.f64 (sin.f64 (+.f64 eps x)) (*.f64 -1 x))
(+.f64 (sin.f64 (+.f64 eps x)) (*.f64 -1 x))
(+.f64 (sin.f64 (+.f64 eps x)) (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (*.f64 -1 x))
(+.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (*.f64 -1 x))
(+.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (*.f64 -1 x))
(-.f64 (sin.f64 x) x)
(-.f64 (+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x)) x)
(-.f64 (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))) x)
(-.f64 (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))) x)
(-.f64 (sin.f64 (+.f64 eps x)) x)
(-.f64 (sin.f64 (+.f64 eps x)) x)
(-.f64 (sin.f64 (+.f64 eps x)) x)
(-.f64 (sin.f64 (+.f64 eps x)) x)
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) x)
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) x)
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) x)
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) x)
Outputs
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps)))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (*.f64 x x) (*.f64 (sin.f64 eps) -1/2) (sin.f64 eps)))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (sin.f64 eps) (*.f64 x (*.f64 x -1/2)) (sin.f64 eps)))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (*.f64 (sin.f64 eps) (-.f64 (*.f64 x (*.f64 x -1/2)) -1)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3)) (sin.f64 eps))))
(fma.f64 (sin.f64 eps) (*.f64 x (*.f64 x -1/2)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (cos.f64 eps) (*.f64 -1/6 (pow.f64 x 3)) (sin.f64 eps))))
(+.f64 (-.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) x) (fma.f64 (sin.f64 eps) (*.f64 x (*.f64 x -1/2)) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 eps) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) (-.f64 x (*.f64 (sin.f64 eps) (-.f64 (*.f64 x (*.f64 x -1/2)) -1))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (sin.f64 (+.f64 eps x)) (*.f64 -1 x))
(-.f64 (sin.f64 (+.f64 eps x)) x)
(+.f64 (sin.f64 (+.f64 eps x)) (*.f64 -1 x))
(-.f64 (sin.f64 (+.f64 eps x)) x)
(+.f64 (sin.f64 (+.f64 eps x)) (*.f64 -1 x))
(-.f64 (sin.f64 (+.f64 eps x)) x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (*.f64 -1 x))
(-.f64 (sin.f64 (+.f64 eps x)) x)
(+.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (*.f64 -1 x))
(-.f64 (sin.f64 (+.f64 eps x)) x)
(+.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (*.f64 -1 x))
(-.f64 (sin.f64 (+.f64 eps x)) x)
(-.f64 (sin.f64 x) x)
(-.f64 (+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x)) x)
(-.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x)) x)
(-.f64 (fma.f64 eps (cos.f64 x) (sin.f64 x)) x)
(-.f64 (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))) x)
(-.f64 (fma.f64 (cos.f64 x) eps (+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))) x)
(-.f64 (fma.f64 eps (cos.f64 x) (*.f64 (+.f64 (*.f64 (*.f64 -1/2 eps) eps) 1) (sin.f64 x))) x)
(-.f64 (fma.f64 eps (cos.f64 x) (*.f64 (sin.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1))) x)
(-.f64 (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))) x)
(-.f64 (+.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x)) (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))) x)
(-.f64 (+.f64 (fma.f64 eps (cos.f64 x) (sin.f64 x)) (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 (sin.f64 x) (*.f64 (*.f64 -1/2 eps) eps)))) x)
(-.f64 (fma.f64 eps (cos.f64 x) (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 (sin.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1)))) x)
(+.f64 (fma.f64 (sin.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1) (neg.f64 x)) (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) eps)))
(+.f64 (fma.f64 (sin.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1) (neg.f64 x)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(-.f64 (sin.f64 (+.f64 eps x)) x)
(-.f64 (sin.f64 (+.f64 eps x)) x)
(-.f64 (sin.f64 (+.f64 eps x)) x)
(-.f64 (sin.f64 (+.f64 eps x)) x)
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) x)
(-.f64 (sin.f64 (+.f64 eps x)) x)
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) x)
(-.f64 (sin.f64 (+.f64 eps x)) x)
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) x)
(-.f64 (sin.f64 (+.f64 eps x)) x)
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) x)
(-.f64 (sin.f64 (+.f64 eps x)) x)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(cos.f64 x)
0.1b
(*.f64 (cos.f64 x) eps)
✓0.6b
(cbrt.f64 (*.f64 (cos.f64 x) eps))
✓0.7b
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
Compiler

Compiled 23 to 8 computations (65.2% saved)

series18.0ms (0.1%)

Counts
2 → 24
Calls

12 calls:

TimeVariablePointExpression
6.0ms
x
@inf
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
3.0ms
x
@0
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
2.0ms
x
@-inf
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
2.0ms
eps
@-inf
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
1.0ms
eps
@0
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)

rewrite90.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
638×pow1_binary64
596×add-log-exp_binary64
596×log1p-expm1-u_binary64
596×expm1-log1p-u_binary64
581×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0814
116614
2166914
Stop Event
1×node limit
Counts
2 → 52
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
(cbrt.f64 (*.f64 (cos.f64 x) eps))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 x) eps)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 x) eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (cos.f64 x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2) (cbrt.f64 (*.f64 (cos.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 x)) (*.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) (sqrt.f64 (*.f64 (cos.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 1/6) (*.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 1/6) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))) 2) 3) (cbrt.f64 (*.f64 (cos.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 1/6) 3) (pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2) 1) (cbrt.f64 (*.f64 (cos.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2) (cbrt.f64 (cos.f64 x))) (cbrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2) (pow.f64 (*.f64 (cos.f64 x) eps) 1/6)) (pow.f64 (*.f64 (cos.f64 x) eps) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 x)) eps))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 x) eps)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 (cos.f64 x) eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 (cos.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))) 2) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 eps) (cbrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 1/6) (pow.f64 (*.f64 (cos.f64 x) eps) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 (cos.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 1/3) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 x) eps) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))))))))

simplify82.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
653×associate-*l*_binary64
651×associate-*r*_binary64
537×fma-def_binary64
404×distribute-rgt-out_binary64
242×distribute-rgt-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
094500
1309464
21003400
35875392
Stop Event
1×node limit
Counts
76 → 72
Calls
Call 1
Inputs
(*.f64 eps (pow.f64 1 1/3))
(+.f64 (*.f64 (+.f64 (*.f64 -1/6 (*.f64 eps (pow.f64 1 1/3))) (*.f64 -1/3 (*.f64 eps (pow.f64 1 1/3)))) (pow.f64 x 2)) (*.f64 eps (pow.f64 1 1/3)))
(+.f64 (*.f64 (+.f64 (*.f64 -1/6 (*.f64 eps (pow.f64 1 1/3))) (*.f64 -1/3 (*.f64 eps (pow.f64 1 1/3)))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 eps) (*.f64 1/12 eps)))) (+.f64 (*.f64 1/18 (*.f64 eps (pow.f64 1 1/3))) (*.f64 (+.f64 (*.f64 1/36 (pow.f64 (*.f64 (pow.f64 eps 2) 1) 1/3)) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 eps) 1/3) (-.f64 (*.f64 1/24 eps) (*.f64 1/12 eps))))) (pow.f64 (*.f64 eps 1) 1/3)))) (pow.f64 x 4)) (*.f64 eps (pow.f64 1 1/3))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/6 (*.f64 eps (pow.f64 1 1/3))) (*.f64 -1/3 (*.f64 eps (pow.f64 1 1/3)))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 eps) (*.f64 1/12 eps)))) (+.f64 (*.f64 1/18 (*.f64 eps (pow.f64 1 1/3))) (*.f64 (+.f64 (*.f64 1/36 (pow.f64 (*.f64 (pow.f64 eps 2) 1) 1/3)) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 eps) 1/3) (-.f64 (*.f64 1/24 eps) (*.f64 1/12 eps))))) (pow.f64 (*.f64 eps 1) 1/3)))) (pow.f64 x 4)) (+.f64 (*.f64 eps (pow.f64 1 1/3)) (*.f64 (pow.f64 x 6) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 -1/720 eps) (+.f64 (*.f64 -1/216 eps) (*.f64 -1/3 (-.f64 (*.f64 1/24 eps) (*.f64 1/12 eps))))))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 eps) (*.f64 1/12 eps)))) (+.f64 (*.f64 (pow.f64 (*.f64 eps 1) 1/3) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 eps) 1/3) (-.f64 (*.f64 1/24 eps) (*.f64 1/12 eps)))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 eps) 1/3) (-.f64 (*.f64 -1/720 eps) (+.f64 (*.f64 -1/216 eps) (*.f64 -1/3 (-.f64 (*.f64 1/24 eps) (*.f64 1/12 eps))))))))) (*.f64 -1/6 (*.f64 (+.f64 (*.f64 1/36 (pow.f64 (*.f64 (pow.f64 eps 2) 1) 1/3)) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 eps) 1/3) (-.f64 (*.f64 1/24 eps) (*.f64 1/12 eps))))) (pow.f64 (*.f64 eps 1) 1/3))))))))))
(*.f64 (*.f64 (cos.f64 x) eps) (pow.f64 1 1/3))
(*.f64 (*.f64 (cos.f64 x) eps) (pow.f64 1 1/3))
(*.f64 (*.f64 (cos.f64 x) eps) (pow.f64 1 1/3))
(*.f64 (*.f64 (cos.f64 x) eps) (pow.f64 1 1/3))
(*.f64 (pow.f64 1 1/3) (*.f64 eps (cos.f64 x)))
(*.f64 (pow.f64 1 1/3) (*.f64 eps (cos.f64 x)))
(*.f64 (pow.f64 1 1/3) (*.f64 eps (cos.f64 x)))
(*.f64 (pow.f64 1 1/3) (*.f64 eps (cos.f64 x)))
(pow.f64 eps 1/3)
(+.f64 (pow.f64 eps 1/3) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 eps 1) 1/3) (pow.f64 x 2))))
(+.f64 (pow.f64 eps 1/3) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 eps 1) 1/3) (pow.f64 x 2))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 eps 2)) 1/3) (*.f64 (-.f64 (*.f64 1/24 eps) (*.f64 1/12 eps)) (pow.f64 x 4))))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 eps 2)) 1/3) (*.f64 (-.f64 (*.f64 -1/720 eps) (+.f64 (*.f64 -1/216 eps) (*.f64 -1/3 (-.f64 (*.f64 1/24 eps) (*.f64 1/12 eps))))) (pow.f64 x 6)))) (+.f64 (pow.f64 eps 1/3) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 eps 1) 1/3) (pow.f64 x 2))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 eps 2)) 1/3) (*.f64 (-.f64 (*.f64 1/24 eps) (*.f64 1/12 eps)) (pow.f64 x 4)))))))
(pow.f64 (*.f64 (cos.f64 x) eps) 1/3)
(pow.f64 (*.f64 (cos.f64 x) eps) 1/3)
(pow.f64 (*.f64 (cos.f64 x) eps) 1/3)
(pow.f64 (*.f64 (cos.f64 x) eps) 1/3)
(pow.f64 (*.f64 eps (cos.f64 x)) 1/3)
(pow.f64 (*.f64 eps (cos.f64 x)) 1/3)
(pow.f64 (*.f64 eps (cos.f64 x)) 1/3)
(pow.f64 (*.f64 eps (cos.f64 x)) 1/3)
Outputs
(*.f64 eps (pow.f64 1 1/3))
eps
(+.f64 (*.f64 (+.f64 (*.f64 -1/6 (*.f64 eps (pow.f64 1 1/3))) (*.f64 -1/3 (*.f64 eps (pow.f64 1 1/3)))) (pow.f64 x 2)) (*.f64 eps (pow.f64 1 1/3)))
(fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps)
(fma.f64 eps (*.f64 (*.f64 x x) -1/2) eps)
(+.f64 (*.f64 (+.f64 (*.f64 -1/6 (*.f64 eps (pow.f64 1 1/3))) (*.f64 -1/3 (*.f64 eps (pow.f64 1 1/3)))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 eps) (*.f64 1/12 eps)))) (+.f64 (*.f64 1/18 (*.f64 eps (pow.f64 1 1/3))) (*.f64 (+.f64 (*.f64 1/36 (pow.f64 (*.f64 (pow.f64 eps 2) 1) 1/3)) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 eps) 1/3) (-.f64 (*.f64 1/24 eps) (*.f64 1/12 eps))))) (pow.f64 (*.f64 eps 1) 1/3)))) (pow.f64 x 4)) (*.f64 eps (pow.f64 1 1/3))))
(fma.f64 (*.f64 eps -1/2) (*.f64 x x) (fma.f64 (+.f64 (*.f64 1/3 (*.f64 eps -1/24)) (fma.f64 1/18 eps (*.f64 (fma.f64 1/36 (cbrt.f64 (*.f64 eps eps)) (*.f64 (*.f64 2/3 (cbrt.f64 (/.f64 1 eps))) (*.f64 eps -1/24))) (cbrt.f64 eps)))) (pow.f64 x 4) eps))
(fma.f64 (*.f64 eps -1/2) (*.f64 x x) (fma.f64 (fma.f64 1/3 (*.f64 eps -1/24) (fma.f64 (fma.f64 1/36 (cbrt.f64 (*.f64 eps eps)) (*.f64 (*.f64 eps -1/24) (*.f64 2/3 (cbrt.f64 (/.f64 1 eps))))) (cbrt.f64 eps) (*.f64 eps 1/18))) (pow.f64 x 4) eps))
(fma.f64 (fma.f64 eps 1/18 (fma.f64 (fma.f64 1/36 (cbrt.f64 (*.f64 eps eps)) (*.f64 (cbrt.f64 (/.f64 1 eps)) (*.f64 eps -1/36))) (cbrt.f64 eps) (*.f64 eps -1/72))) (pow.f64 x 4) (fma.f64 eps (*.f64 (*.f64 x x) -1/2) eps))
(fma.f64 (fma.f64 (fma.f64 1/36 (cbrt.f64 (*.f64 eps eps)) (*.f64 (cbrt.f64 (/.f64 1 eps)) (*.f64 eps -1/36))) (cbrt.f64 eps) (*.f64 eps 1/24)) (pow.f64 x 4) (fma.f64 eps (*.f64 (*.f64 x x) -1/2) eps))
(+.f64 (*.f64 (+.f64 (*.f64 -1/6 (*.f64 eps (pow.f64 1 1/3))) (*.f64 -1/3 (*.f64 eps (pow.f64 1 1/3)))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 eps) (*.f64 1/12 eps)))) (+.f64 (*.f64 1/18 (*.f64 eps (pow.f64 1 1/3))) (*.f64 (+.f64 (*.f64 1/36 (pow.f64 (*.f64 (pow.f64 eps 2) 1) 1/3)) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 eps) 1/3) (-.f64 (*.f64 1/24 eps) (*.f64 1/12 eps))))) (pow.f64 (*.f64 eps 1) 1/3)))) (pow.f64 x 4)) (+.f64 (*.f64 eps (pow.f64 1 1/3)) (*.f64 (pow.f64 x 6) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 -1/720 eps) (+.f64 (*.f64 -1/216 eps) (*.f64 -1/3 (-.f64 (*.f64 1/24 eps) (*.f64 1/12 eps))))))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 eps) (*.f64 1/12 eps)))) (+.f64 (*.f64 (pow.f64 (*.f64 eps 1) 1/3) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 eps) 1/3) (-.f64 (*.f64 1/24 eps) (*.f64 1/12 eps)))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 eps) 1/3) (-.f64 (*.f64 -1/720 eps) (+.f64 (*.f64 -1/216 eps) (*.f64 -1/3 (-.f64 (*.f64 1/24 eps) (*.f64 1/12 eps))))))))) (*.f64 -1/6 (*.f64 (+.f64 (*.f64 1/36 (pow.f64 (*.f64 (pow.f64 eps 2) 1) 1/3)) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 eps) 1/3) (-.f64 (*.f64 1/24 eps) (*.f64 1/12 eps))))) (pow.f64 (*.f64 eps 1) 1/3))))))))))
(fma.f64 (*.f64 eps -1/2) (*.f64 x x) (+.f64 (fma.f64 (+.f64 (*.f64 1/3 (*.f64 eps -1/24)) (fma.f64 1/18 eps (*.f64 (fma.f64 1/36 (cbrt.f64 (*.f64 eps eps)) (*.f64 (*.f64 2/3 (cbrt.f64 (/.f64 1 eps))) (*.f64 eps -1/24))) (cbrt.f64 eps)))) (pow.f64 x 4) eps) (*.f64 (pow.f64 x 6) (+.f64 (+.f64 (*.f64 1/3 (-.f64 (*.f64 eps -1/720) (fma.f64 -1/216 eps (*.f64 -1/3 (*.f64 eps -1/24))))) (*.f64 -1/9 (*.f64 eps -1/24))) (fma.f64 (cbrt.f64 eps) (fma.f64 -1/9 (*.f64 (*.f64 eps -1/24) (cbrt.f64 (/.f64 1 eps))) (*.f64 (*.f64 2/3 (cbrt.f64 (/.f64 1 eps))) (-.f64 (*.f64 eps -1/720) (fma.f64 -1/216 eps (*.f64 -1/3 (*.f64 eps -1/24)))))) (*.f64 -1/6 (*.f64 (fma.f64 1/36 (cbrt.f64 (*.f64 eps eps)) (*.f64 (*.f64 2/3 (cbrt.f64 (/.f64 1 eps))) (*.f64 eps -1/24))) (cbrt.f64 eps))))))))
(fma.f64 (*.f64 eps -1/2) (*.f64 x x) (fma.f64 (fma.f64 1/3 (*.f64 eps -1/24) (fma.f64 (fma.f64 1/36 (cbrt.f64 (*.f64 eps eps)) (*.f64 (*.f64 eps -1/24) (*.f64 2/3 (cbrt.f64 (/.f64 1 eps))))) (cbrt.f64 eps) (*.f64 eps 1/18))) (pow.f64 x 4) (fma.f64 (pow.f64 x 6) (fma.f64 1/3 (-.f64 (*.f64 eps 7/2160) (*.f64 eps 1/72)) (fma.f64 (*.f64 eps -1/24) -1/9 (*.f64 (cbrt.f64 eps) (+.f64 (fma.f64 2/3 (*.f64 (cbrt.f64 (/.f64 1 eps)) (-.f64 (*.f64 eps 7/2160) (*.f64 eps 1/72))) (*.f64 (*.f64 eps -1/24) (*.f64 (cbrt.f64 (/.f64 1 eps)) -1/9))) (*.f64 -1/6 (fma.f64 1/36 (cbrt.f64 (*.f64 eps eps)) (*.f64 (*.f64 eps -1/24) (*.f64 2/3 (cbrt.f64 (/.f64 1 eps)))))))))) eps)))
(fma.f64 (fma.f64 eps 1/18 (fma.f64 (fma.f64 1/36 (cbrt.f64 (*.f64 eps eps)) (*.f64 (cbrt.f64 (/.f64 1 eps)) (*.f64 eps -1/36))) (cbrt.f64 eps) (*.f64 eps -1/72))) (pow.f64 x 4) (fma.f64 eps (*.f64 (*.f64 x x) -1/2) (fma.f64 (pow.f64 x 6) (fma.f64 (cbrt.f64 eps) (fma.f64 -1/6 (fma.f64 1/36 (cbrt.f64 (*.f64 eps eps)) (*.f64 (cbrt.f64 (/.f64 1 eps)) (*.f64 eps -1/36))) (*.f64 (cbrt.f64 (/.f64 1 eps)) (+.f64 (*.f64 eps 1/216) (*.f64 2/3 (*.f64 eps -23/2160))))) (fma.f64 1/3 (*.f64 eps -23/2160) (*.f64 eps 1/216))) eps)))
(fma.f64 (fma.f64 (fma.f64 1/36 (cbrt.f64 (*.f64 eps eps)) (*.f64 (cbrt.f64 (/.f64 1 eps)) (*.f64 eps -1/36))) (cbrt.f64 eps) (*.f64 eps 1/24)) (pow.f64 x 4) (fma.f64 eps (*.f64 (*.f64 x x) -1/2) (fma.f64 (pow.f64 x 6) (fma.f64 (cbrt.f64 eps) (fma.f64 -1/6 (fma.f64 1/36 (cbrt.f64 (*.f64 eps eps)) (*.f64 (cbrt.f64 (/.f64 1 eps)) (*.f64 eps -1/36))) (*.f64 (cbrt.f64 (/.f64 1 eps)) (+.f64 (*.f64 eps 1/216) (*.f64 2/3 (*.f64 eps -23/2160))))) (fma.f64 1/3 (*.f64 eps -23/2160) (*.f64 eps 1/216))) eps)))
(*.f64 (*.f64 (cos.f64 x) eps) (pow.f64 1 1/3))
(*.f64 eps (cos.f64 x))
(*.f64 (*.f64 (cos.f64 x) eps) (pow.f64 1 1/3))
(*.f64 eps (cos.f64 x))
(*.f64 (*.f64 (cos.f64 x) eps) (pow.f64 1 1/3))
(*.f64 eps (cos.f64 x))
(*.f64 (*.f64 (cos.f64 x) eps) (pow.f64 1 1/3))
(*.f64 eps (cos.f64 x))
(*.f64 (pow.f64 1 1/3) (*.f64 eps (cos.f64 x)))
(*.f64 eps (cos.f64 x))
(*.f64 (pow.f64 1 1/3) (*.f64 eps (cos.f64 x)))
(*.f64 eps (cos.f64 x))
(*.f64 (pow.f64 1 1/3) (*.f64 eps (cos.f64 x)))
(*.f64 eps (cos.f64 x))
(*.f64 (pow.f64 1 1/3) (*.f64 eps (cos.f64 x)))
(*.f64 eps (cos.f64 x))
(pow.f64 eps 1/3)
(cbrt.f64 eps)
(+.f64 (pow.f64 eps 1/3) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 eps 1) 1/3) (pow.f64 x 2))))
(+.f64 (cbrt.f64 eps) (*.f64 -1/6 (*.f64 (*.f64 x x) (cbrt.f64 eps))))
(fma.f64 -1/6 (*.f64 x (*.f64 x (cbrt.f64 eps))) (cbrt.f64 eps))
(*.f64 (+.f64 (*.f64 -1/6 (*.f64 x x)) 1) (cbrt.f64 eps))
(+.f64 (pow.f64 eps 1/3) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 eps 1) 1/3) (pow.f64 x 2))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 eps 2)) 1/3) (*.f64 (-.f64 (*.f64 1/24 eps) (*.f64 1/12 eps)) (pow.f64 x 4))))))
(+.f64 (cbrt.f64 eps) (fma.f64 -1/6 (*.f64 (*.f64 x x) (cbrt.f64 eps)) (*.f64 (*.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 eps eps)))) (*.f64 (*.f64 eps -1/24) (pow.f64 x 4)))))
(+.f64 (cbrt.f64 eps) (fma.f64 1/3 (*.f64 (pow.f64 x 4) (*.f64 (*.f64 eps -1/24) (cbrt.f64 (/.f64 1 (*.f64 eps eps))))) (*.f64 -1/6 (*.f64 x (*.f64 x (cbrt.f64 eps))))))
(fma.f64 (cbrt.f64 (/.f64 1 (*.f64 eps eps))) (*.f64 (*.f64 eps (pow.f64 x 4)) -1/72) (*.f64 (+.f64 (*.f64 -1/6 (*.f64 x x)) 1) (cbrt.f64 eps)))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 eps 2)) 1/3) (*.f64 (-.f64 (*.f64 -1/720 eps) (+.f64 (*.f64 -1/216 eps) (*.f64 -1/3 (-.f64 (*.f64 1/24 eps) (*.f64 1/12 eps))))) (pow.f64 x 6)))) (+.f64 (pow.f64 eps 1/3) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 eps 1) 1/3) (pow.f64 x 2))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 eps 2)) 1/3) (*.f64 (-.f64 (*.f64 1/24 eps) (*.f64 1/12 eps)) (pow.f64 x 4)))))))
(fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 eps eps))) (*.f64 (pow.f64 x 6) (-.f64 (*.f64 eps -1/720) (fma.f64 -1/216 eps (*.f64 -1/3 (*.f64 eps -1/24)))))) (+.f64 (cbrt.f64 eps) (fma.f64 -1/6 (*.f64 (*.f64 x x) (cbrt.f64 eps)) (*.f64 (*.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 eps eps)))) (*.f64 (*.f64 eps -1/24) (pow.f64 x 4))))))
(fma.f64 1/3 (*.f64 (-.f64 (*.f64 eps 7/2160) (*.f64 eps 1/72)) (*.f64 (pow.f64 x 6) (cbrt.f64 (/.f64 1 (*.f64 eps eps))))) (+.f64 (cbrt.f64 eps) (fma.f64 1/3 (*.f64 (pow.f64 x 4) (*.f64 (*.f64 eps -1/24) (cbrt.f64 (/.f64 1 (*.f64 eps eps))))) (*.f64 -1/6 (*.f64 x (*.f64 x (cbrt.f64 eps)))))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/6 (*.f64 x x)) 1) (cbrt.f64 eps)) (*.f64 (cbrt.f64 (/.f64 1 (*.f64 eps eps))) (+.f64 (*.f64 (*.f64 eps (pow.f64 x 4)) -1/72) (*.f64 1/3 (*.f64 (pow.f64 x 6) (*.f64 eps -23/2160))))))
(pow.f64 (*.f64 (cos.f64 x) eps) 1/3)
(cbrt.f64 (*.f64 eps (cos.f64 x)))
(pow.f64 (*.f64 (cos.f64 x) eps) 1/3)
(cbrt.f64 (*.f64 eps (cos.f64 x)))
(pow.f64 (*.f64 (cos.f64 x) eps) 1/3)
(cbrt.f64 (*.f64 eps (cos.f64 x)))
(pow.f64 (*.f64 (cos.f64 x) eps) 1/3)
(cbrt.f64 (*.f64 eps (cos.f64 x)))
(pow.f64 (*.f64 eps (cos.f64 x)) 1/3)
(cbrt.f64 (*.f64 eps (cos.f64 x)))
(pow.f64 (*.f64 eps (cos.f64 x)) 1/3)
(cbrt.f64 (*.f64 eps (cos.f64 x)))
(pow.f64 (*.f64 eps (cos.f64 x)) 1/3)
(cbrt.f64 (*.f64 eps (cos.f64 x)))
(pow.f64 (*.f64 eps (cos.f64 x)) 1/3)
(cbrt.f64 (*.f64 eps (cos.f64 x)))

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.4b
(pow.f64 (sin.f64 (+.f64 x eps)) 2)
✓0.6b
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
✓3.2b
(sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2))
3.5b
(sin.f64 (+.f64 x eps))
Compiler

Compiled 37 to 15 computations (59.5% saved)

series43.0ms (0.2%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
32.0ms
eps
@inf
(sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2))
1.0ms
x
@0
(pow.f64 (sin.f64 (+.f64 x eps)) 2)
1.0ms
eps
@0
(pow.f64 (sin.f64 (+.f64 x eps)) 2)
1.0ms
x
@-inf
(pow.f64 (sin.f64 (+.f64 x eps)) 2)
1.0ms
eps
@-inf
(pow.f64 (sin.f64 (+.f64 x eps)) 2)

rewrite114.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
468×log-prod_binary64
421×fma-def_binary64
309×pow-prod-down_binary64
281×pow2_binary64
228×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01026
122926
2294126
Stop Event
1×node limit
Counts
3 → 190
Calls
Call 1
Inputs
(sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2))
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
(pow.f64 (sin.f64 (+.f64 x eps)) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 1) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (+.f64 x eps))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (+.f64 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (+.f64 x eps)))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (+.f64 x eps)))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 (/.f64 (*.f64 x x) (-.f64 x eps))) (cos.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)))) (*.f64 (cos.f64 (/.f64 (*.f64 x x) (-.f64 x eps))) (sin.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (+.f64 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (cbrt.f64 (sin.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2)) (sin.f64 (-.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (+.f64 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 6) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sin.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 (sin.f64 eps)) (cos.f64 x)) (pow.f64 (exp.f64 (cos.f64 eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 (+.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 (+.f64 x eps)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 (+.f64 x eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (sin.f64 (+.f64 x eps)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 (+.f64 x eps)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 (+.f64 x eps)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 (+.f64 x eps)))) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 (+.f64 x eps)))) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 (+.f64 x eps))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 (+.f64 x eps))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 1 (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 eps) 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(cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) 2) (cbrt.f64 (neg.f64 (sin.f64 x))) (sin.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (sin.f64 x))) (sqrt.f64 (neg.f64 (sin.f64 x))) (sin.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (sin.f64 x) (sin.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (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 fma.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (sin.f64 (+.f64 x eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 (+.f64 x eps))) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (+.f64 x eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (sin.f64 (+.f64 x eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (sin.f64 (+.f64 x eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 4)) (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (pow.f64 (sin.f64 (+.f64 x eps)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3/2) (sqrt.f64 (sin.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 5) (cbrt.f64 (sin.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 (+.f64 x eps) (+.f64 x eps))) (cos.f64 (*.f64 2 (+.f64 x eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (sin.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 (+.f64 x eps)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 4)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 (+.f64 x eps)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 (+.f64 x eps)))) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 (+.f64 x eps))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 (+.f64 x eps)) (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 (+.f64 x eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 (+.f64 x eps)) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 (+.f64 x eps))))))))

simplify66.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
679×distribute-rgt-neg-out_binary64
648×fma-def_binary64
604×distribute-lft-neg-out_binary64
522×associate-*r*_binary64
508×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0107986
1329973
2917935
34248935
Stop Event
1×node limit
Counts
262 → 241
Calls
Call 1
Inputs
(sin.f64 eps)
(+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (sin.f64 eps))))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 x)
(+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(pow.f64 (sin.f64 eps) 2)
(+.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 2 (*.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) x))))
(+.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (*.f64 2 (*.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) x))) (*.f64 (+.f64 (*.f64 -1 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (pow.f64 x 2))))
(+.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (*.f64 2 (*.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) x))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (cos.f64 eps) (sin.f64 eps))) (*.f64 -1/3 (*.f64 (cos.f64 eps) (sin.f64 eps)))) (pow.f64 x 3)) (*.f64 (+.f64 (*.f64 -1 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (pow.f64 x 2)))))
(pow.f64 (sin.f64 (+.f64 eps x)) 2)
(pow.f64 (sin.f64 (+.f64 eps x)) 2)
(pow.f64 (sin.f64 (+.f64 eps x)) 2)
(pow.f64 (sin.f64 (+.f64 eps x)) 2)
(pow.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) 2)
(pow.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) 2)
(pow.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) 2)
(pow.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) 2)
(pow.f64 (sin.f64 x) 2)
(+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 2 (*.f64 eps (*.f64 (cos.f64 x) (sin.f64 x)))))
(+.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (*.f64 2 (*.f64 eps (*.f64 (cos.f64 x) (sin.f64 x))))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (cos.f64 x) (sin.f64 x))) (*.f64 -1 (*.f64 (cos.f64 x) (sin.f64 x)))) (pow.f64 eps 3)) (+.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (*.f64 2 (*.f64 eps (*.f64 (cos.f64 x) (sin.f64 x)))))))
(pow.f64 (sin.f64 (+.f64 eps x)) 2)
(pow.f64 (sin.f64 (+.f64 eps x)) 2)
(pow.f64 (sin.f64 (+.f64 eps x)) 2)
(pow.f64 (sin.f64 (+.f64 eps x)) 2)
(pow.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) 2)
(pow.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) 2)
(pow.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) 2)
(pow.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) 2)
Outputs
(sin.f64 eps)
(+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))
(fma.f64 (cos.f64 eps) x (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (cos.f64 eps) x (sin.f64 eps)))
(fma.f64 (cos.f64 eps) x (*.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) 1) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (cos.f64 eps) x (fma.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3)) (sin.f64 eps))))
(+.f64 (sin.f64 eps) (fma.f64 (sin.f64 eps) (*.f64 -1/2 (*.f64 x x)) (*.f64 (cos.f64 eps) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (+.f64 eps x))
(sin.f64 x)
(+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x))
(fma.f64 (cos.f64 x) eps (sin.f64 x))
(fma.f64 eps (cos.f64 x) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(fma.f64 eps (cos.f64 x) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 1) (sin.f64 x)))
(fma.f64 eps (cos.f64 x) (*.f64 (sin.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1)))
(fma.f64 eps (cos.f64 x) (*.f64 (sin.f64 x) (fma.f64 (*.f64 eps -1/2) eps 1)))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(+.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x)) (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)))))
(+.f64 (sin.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))))
(+.f64 (*.f64 (sin.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 (*.f64 (sin.f64 x) (fma.f64 (*.f64 eps -1/2) eps 1)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (+.f64 eps x))
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps))
(fma.f64 x (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 x (+.f64 (cos.f64 eps) -1) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (*.f64 -1/2 (*.f64 x x)) (fma.f64 x (+.f64 (cos.f64 eps) -1) (sin.f64 eps)))
(-.f64 (fma.f64 (cos.f64 eps) x (*.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) 1) (sin.f64 eps))) x)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (fma.f64 -1/6 (cos.f64 eps) 1/6) (pow.f64 x 3) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 x (+.f64 (cos.f64 eps) -1) (fma.f64 (pow.f64 x 3) (fma.f64 (cos.f64 eps) -1/6 1/6) (sin.f64 eps))))
(fma.f64 (sin.f64 eps) (*.f64 -1/2 (*.f64 x x)) (fma.f64 x (+.f64 (cos.f64 eps) -1) (fma.f64 (pow.f64 x 3) (fma.f64 (cos.f64 eps) -1/6 1/6) (sin.f64 eps))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(fma.f64 eps (cos.f64 x) (*.f64 eps (*.f64 (*.f64 eps (sin.f64 x)) -1/2)))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)))))
(+.f64 (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(fma.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 eps (*.f64 (*.f64 eps (sin.f64 x)) -1/2)))
(fma.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))))
(fma.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 (sin.f64 x) (+.f64 (*.f64 eps (*.f64 eps -1/2)) (*.f64 1/24 (pow.f64 eps 4)))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(pow.f64 (sin.f64 eps) 2)
(+.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 2 (*.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) x))))
(+.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (*.f64 2 (cos.f64 eps)) (*.f64 (sin.f64 eps) x)))
(fma.f64 2 (*.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) x)) (pow.f64 (sin.f64 eps) 2))
(*.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (*.f64 x 2))))
(*.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) (*.f64 x (*.f64 (cos.f64 eps) 2))))
(+.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (*.f64 2 (*.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) x))) (*.f64 (+.f64 (*.f64 -1 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (pow.f64 x 2))))
(+.f64 (pow.f64 (sin.f64 eps) 2) (fma.f64 2 (*.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) x)) (*.f64 (*.f64 x x) (fma.f64 -1 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))
(+.f64 (pow.f64 (sin.f64 eps) 2) (fma.f64 2 (*.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) x)) (*.f64 (*.f64 x x) (-.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)))))
(fma.f64 x (*.f64 x (-.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))) (*.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (*.f64 x 2)))))
(fma.f64 x (*.f64 x (-.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))) (*.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) (*.f64 x (*.f64 (cos.f64 eps) 2)))))
(+.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (*.f64 2 (*.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) x))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (cos.f64 eps) (sin.f64 eps))) (*.f64 -1/3 (*.f64 (cos.f64 eps) (sin.f64 eps)))) (pow.f64 x 3)) (*.f64 (+.f64 (*.f64 -1 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (pow.f64 x 2)))))
(+.f64 (pow.f64 (sin.f64 eps) 2) (fma.f64 2 (*.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) x)) (fma.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 eps)) -4/3) (pow.f64 x 3) (*.f64 (*.f64 x x) (fma.f64 -1 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))
(+.f64 (pow.f64 (sin.f64 eps) 2) (fma.f64 2 (*.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) x)) (fma.f64 (*.f64 x x) (-.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 x 3) (*.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) -4/3))))))
(+.f64 (pow.f64 (sin.f64 eps) 2) (fma.f64 x (*.f64 x (-.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 x 2) (*.f64 (pow.f64 x 3) -4/3)))))
(+.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 x 2) (*.f64 (pow.f64 x 3) -4/3))) (fma.f64 x (*.f64 x (-.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))) (pow.f64 (sin.f64 eps) 2)))
(pow.f64 (sin.f64 (+.f64 eps x)) 2)
(pow.f64 (sin.f64 (+.f64 eps x)) 2)
(pow.f64 (sin.f64 (+.f64 eps x)) 2)
(pow.f64 (sin.f64 (+.f64 eps x)) 2)
(pow.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) 2)
(pow.f64 (sin.f64 (+.f64 eps x)) 2)
(pow.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) 2)
(pow.f64 (sin.f64 (+.f64 eps x)) 2)
(pow.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) 2)
(pow.f64 (sin.f64 (+.f64 eps x)) 2)
(pow.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) 2)
(pow.f64 (sin.f64 (+.f64 eps x)) 2)
(pow.f64 (sin.f64 x) 2)
(+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 2 (*.f64 eps (*.f64 (cos.f64 x) (sin.f64 x)))))
(+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 2 eps) (*.f64 (sin.f64 x) (cos.f64 x))))
(fma.f64 2 (*.f64 eps (*.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 (sin.f64 x) 2))
(*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (*.f64 2 (*.f64 eps (cos.f64 x)))))
(*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (*.f64 eps (*.f64 2 (cos.f64 x)))))
(+.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (*.f64 2 (*.f64 eps (*.f64 (cos.f64 x) (sin.f64 x))))))
(+.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 (*.f64 eps eps) (fma.f64 -1 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (*.f64 2 eps) (*.f64 (sin.f64 x) (cos.f64 x)))))
(+.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 2 (*.f64 eps (*.f64 (sin.f64 x) (cos.f64 x))) (*.f64 eps (*.f64 eps (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))))
(fma.f64 eps (*.f64 eps (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (*.f64 2 (*.f64 eps (cos.f64 x))))))
(fma.f64 eps (*.f64 eps (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (*.f64 eps (*.f64 2 (cos.f64 x))))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (cos.f64 x) (sin.f64 x))) (*.f64 -1 (*.f64 (cos.f64 x) (sin.f64 x)))) (pow.f64 eps 3)) (+.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (*.f64 2 (*.f64 eps (*.f64 (cos.f64 x) (sin.f64 x)))))))
(fma.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 x)) -4/3) (pow.f64 eps 3) (+.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 (*.f64 eps eps) (fma.f64 -1 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (*.f64 2 eps) (*.f64 (sin.f64 x) (cos.f64 x))))))
(+.f64 (fma.f64 2 (*.f64 eps (*.f64 (sin.f64 x) (cos.f64 x))) (*.f64 eps (*.f64 eps (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))))) (fma.f64 (pow.f64 eps 3) (*.f64 (cos.f64 x) (*.f64 (sin.f64 x) -4/3)) (pow.f64 (sin.f64 x) 2)))
(+.f64 (fma.f64 (*.f64 eps eps) (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (*.f64 (*.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 eps 2) (*.f64 (pow.f64 eps 3) -4/3))))
(pow.f64 (sin.f64 (+.f64 eps x)) 2)
(pow.f64 (sin.f64 (+.f64 eps x)) 2)
(pow.f64 (sin.f64 (+.f64 eps x)) 2)
(pow.f64 (sin.f64 (+.f64 eps x)) 2)
(pow.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) 2)
(pow.f64 (sin.f64 (+.f64 eps x)) 2)
(pow.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) 2)
(pow.f64 (sin.f64 (+.f64 eps x)) 2)
(pow.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) 2)
(pow.f64 (sin.f64 (+.f64 eps x)) 2)
(pow.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) 2)
(pow.f64 (sin.f64 (+.f64 eps x)) 2)

localize49.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (cos.f64 x) (sin.f64 eps))
✓0.3b
(fma.f64 (sin.f64 x) (cos.f64 eps) 1)
✓4.1b
(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) 1) 1)
✓8.8b
(-.f64 (+.f64 (-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) 1) 1) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
Compiler

Compiled 63 to 25 computations (60.3% saved)

series69.0ms (0.4%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
62.0ms
x
@-inf
(-.f64 (+.f64 (-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) 1) 1) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
1.0ms
eps
@inf
(-.f64 (+.f64 (-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) 1) 1) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
1.0ms
eps
@-inf
(-.f64 (+.f64 (-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) 1) 1) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
1.0ms
x
@0
(-.f64 (+.f64 (-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) 1) 1) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
1.0ms
x
@inf
(-.f64 (+.f64 (-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) 1) 1) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))

rewrite340.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
735×fma-def_binary64
675×log-prod_binary64
426×fma-neg_binary64
262×log1p-udef_binary64
261×expm1-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01348
128644
2411628
Stop Event
1×node limit
Counts
3 → 257
Calls
Call 1
Inputs
(-.f64 (+.f64 (-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) 1) 1) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) 1) 1)
(fma.f64 (sin.f64 x) (cos.f64 eps) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) 1) (+.f64 -1 (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (+.f64 x eps)) (*.f64 (neg.f64 (sin.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (+.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (sin.f64 x) (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) 1))) (cbrt.f64 (exp.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) 1))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) 1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (sin.f64 x) (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) 1)) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) 1)) 2) (cbrt.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) 1)) 2) (*.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) 1)) (sqrt.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) 1)) (*.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) 1) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (-.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) 1) (fma.f64 (sin.f64 x) (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 1))))))

simplify166.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
629×sub-neg_binary64
476×fma-def_binary64
413×+-commutative_binary64
404×*-commutative_binary64
404×associate-+l+_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
0821164
12291114
26431029
322061013
438481013
550211011
671221011
Stop Event
1×node limit
Counts
329 → 304
Calls
Call 1
Inputs
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(*.f64 (cos.f64 eps) x)
(+.f64 (*.f64 (cos.f64 eps) x) (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))))
(+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (*.f64 1/120 (*.f64 (cos.f64 eps) (pow.f64 x 5)))))
(+.f64 (*.f64 -1/5040 (*.f64 (cos.f64 eps) (pow.f64 x 7))) (+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (*.f64 1/120 (*.f64 (cos.f64 eps) (pow.f64 x 5))))))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(sin.f64 x)
(+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (sin.f64 x) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 eps 6) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
1
(+.f64 1 (*.f64 (cos.f64 eps) x))
(+.f64 1 (+.f64 (*.f64 (cos.f64 eps) x) (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3)))))
(+.f64 1 (+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (*.f64 1/120 (*.f64 (cos.f64 eps) (pow.f64 x 5))))))
(+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 1 (sin.f64 x))
(+.f64 1 (+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 1 (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(+.f64 1 (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (sin.f64 x) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 eps 6) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))))
(+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x)))
Outputs
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps))
(fma.f64 (cos.f64 eps) x (-.f64 (sin.f64 eps) x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps)))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (sin.f64 eps) (*.f64 -1/2 (*.f64 x x)) (sin.f64 eps)))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (*.f64 x x) (*.f64 (sin.f64 eps) -1/2) (sin.f64 eps)))
(fma.f64 x (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (*.f64 x -1/2))) (-.f64 (sin.f64 eps) x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (fma.f64 -1/6 (cos.f64 eps) 1/6) (pow.f64 x 3) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3) (sin.f64 eps))))
(fma.f64 (sin.f64 eps) (*.f64 -1/2 (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3) (sin.f64 eps))))
(fma.f64 (sin.f64 eps) (*.f64 x (*.f64 x -1/2)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3) (sin.f64 eps))))
(fma.f64 x (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (*.f64 x -1/2))) (-.f64 (fma.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3) (sin.f64 eps)) x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))
(fma.f64 eps (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)))))
(+.f64 (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(fma.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))))
(fma.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))))
(fma.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (*.f64 eps eps)))))
(fma.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 (sin.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 1/24 (pow.f64 eps 4)))))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(*.f64 (cos.f64 eps) x)
(+.f64 (*.f64 (cos.f64 eps) x) (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))))
(fma.f64 (cos.f64 eps) x (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))))
(fma.f64 (cos.f64 eps) x (*.f64 (cos.f64 eps) (*.f64 -1/6 (pow.f64 x 3))))
(*.f64 (cos.f64 eps) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (*.f64 1/120 (*.f64 (cos.f64 eps) (pow.f64 x 5)))))
(fma.f64 (cos.f64 eps) x (fma.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3)) (*.f64 1/120 (*.f64 (cos.f64 eps) (pow.f64 x 5)))))
(fma.f64 (cos.f64 eps) (*.f64 1/120 (pow.f64 x 5)) (*.f64 (cos.f64 eps) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))
(*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 x (*.f64 1/120 (pow.f64 x 5)))))
(+.f64 (*.f64 -1/5040 (*.f64 (cos.f64 eps) (pow.f64 x 7))) (+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (*.f64 1/120 (*.f64 (cos.f64 eps) (pow.f64 x 5))))))
(fma.f64 -1/5040 (*.f64 (cos.f64 eps) (pow.f64 x 7)) (fma.f64 (cos.f64 eps) x (fma.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3)) (*.f64 1/120 (*.f64 (cos.f64 eps) (pow.f64 x 5))))))
(+.f64 (*.f64 (cos.f64 eps) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) (*.f64 (cos.f64 eps) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 -1/5040 (pow.f64 x 7)))))
(*.f64 (cos.f64 eps) (+.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 -1/5040 (pow.f64 x 7)))))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(sin.f64 x)
(+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(*.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 1) (sin.f64 x))
(*.f64 (sin.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 1) (sin.f64 x)))
(*.f64 (sin.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (fma.f64 1/24 (pow.f64 eps 4) 1)))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (sin.f64 x) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 eps 6) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (+.f64 (sin.f64 x) (fma.f64 -1/720 (*.f64 (sin.f64 x) (pow.f64 eps 6)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 -1/720 (pow.f64 eps 6)))) (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) 1) (sin.f64 x)))
(fma.f64 (sin.f64 x) (fma.f64 -1/2 (*.f64 eps eps) (*.f64 -1/720 (pow.f64 eps 6))) (*.f64 (sin.f64 x) (fma.f64 1/24 (pow.f64 eps 4) 1)))
(*.f64 (sin.f64 x) (+.f64 (fma.f64 -1/2 (*.f64 eps eps) (*.f64 -1/720 (pow.f64 eps 6))) (fma.f64 1/24 (pow.f64 eps 4) 1)))
(*.f64 (sin.f64 x) (+.f64 (fma.f64 1/24 (pow.f64 eps 4) 1) (fma.f64 -1/2 (*.f64 eps eps) (*.f64 -1/720 (pow.f64 eps 6)))))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
1
(+.f64 1 (*.f64 (cos.f64 eps) x))
(fma.f64 (cos.f64 eps) x 1)
(+.f64 1 (+.f64 (*.f64 (cos.f64 eps) x) (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3)))))
(+.f64 1 (fma.f64 (cos.f64 eps) x (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3)))))
(+.f64 1 (fma.f64 (cos.f64 eps) x (*.f64 (cos.f64 eps) (*.f64 -1/6 (pow.f64 x 3)))))
(+.f64 1 (*.f64 (cos.f64 eps) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (*.f64 1/120 (*.f64 (cos.f64 eps) (pow.f64 x 5))))))
(+.f64 1 (fma.f64 (cos.f64 eps) x (fma.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3)) (*.f64 1/120 (*.f64 (cos.f64 eps) (pow.f64 x 5))))))
(+.f64 1 (fma.f64 (cos.f64 eps) (*.f64 1/120 (pow.f64 x 5)) (*.f64 (cos.f64 eps) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))))
(+.f64 1 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 x (*.f64 1/120 (pow.f64 x 5))))))
(+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) 1)
(+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) 1)
(+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) 1)
(+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) 1)
(+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) 1)
(+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) 1)
(+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) 1)
(+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) 1)
(+.f64 1 (sin.f64 x))
(+.f64 1 (+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (+.f64 1 (sin.f64 x)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(+.f64 1 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 1) (sin.f64 x)))
(fma.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (sin.f64 x) 1)
(+.f64 1 (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(+.f64 1 (fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))))
(+.f64 1 (fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 1) (sin.f64 x))))
(+.f64 1 (*.f64 (sin.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (fma.f64 1/24 (pow.f64 eps 4) 1))))
(+.f64 1 (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (sin.f64 x) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 eps 6) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))))
(+.f64 1 (fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (+.f64 (sin.f64 x) (fma.f64 -1/720 (*.f64 (sin.f64 x) (pow.f64 eps 6)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)))))))
(+.f64 1 (+.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 -1/720 (pow.f64 eps 6)))) (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) 1) (sin.f64 x))))
(fma.f64 (fma.f64 1/24 (pow.f64 eps 4) 1) (sin.f64 x) (fma.f64 (sin.f64 x) (fma.f64 -1/2 (*.f64 eps eps) (*.f64 -1/720 (pow.f64 eps 6))) 1))
(+.f64 1 (*.f64 (sin.f64 x) (+.f64 (fma.f64 -1/2 (*.f64 eps eps) (*.f64 -1/720 (pow.f64 eps 6))) (fma.f64 1/24 (pow.f64 eps 4) 1))))
(+.f64 1 (*.f64 (sin.f64 x) (+.f64 (fma.f64 1/24 (pow.f64 eps 4) 1) (fma.f64 -1/2 (*.f64 eps eps) (*.f64 -1/720 (pow.f64 eps 6))))))
(+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) 1)
(+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) 1)
(+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) 1)
(+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) 1)
(+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) 1)
(+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) 1)
(+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) 1)
(+.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) 1)

eval590.0ms (3.1%)

Compiler

Compiled 19043 to 7165 computations (62.4% saved)

prune284.0ms (1.5%)

Pruning

71 alts after pruning (63 fresh and 8 done)

PrunedKeptTotal
New1015281043
Fresh233558
Picked101
Done3811
Total1042711113
Error
0.0b
Counts
1113 → 71
Alt Table
Click to see full alt table
StatusErrorProgram
48.5b
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 eps) 2)) (sin.f64 x))
21.0b
(-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))
35.0b
(*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x)))
28.5b
(+.f64 (sin.f64 eps) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
✓42.5b
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 x)) 2) eps)
36.8b
(*.f64 (*.f64 (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
18.9b
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 2))
34.6b
(-.f64 (sin.f64 eps) (cbrt.f64 (pow.f64 (sin.f64 x) 3)))
36.7b
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
61.8b
(neg.f64 x)
0.7b
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 3))
37.0b
(-.f64 (sin.f64 eps) (sin.f64 x))
36.6b
(-.f64 (sin.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (sin.f64 x))))
21.7b
(-.f64 (+.f64 (-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 1) 1) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
29.5b
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) eps))
48.7b
eps
22.0b
(fma.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))) (cbrt.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))) (cbrt.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))) (*.f64 (sin.f64 x) (cos.f64 eps)))
✓0.5b
(fma.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (cos.f64 x)))
42.0b
(fma.f64 (*.f64 (cos.f64 eps) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
18.9b
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) 3))
35.0b
(*.f64 (-.f64 (+.f64 1 (cos.f64 x)) 1) eps)
1.5b
(fma.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) 3))
38.9b
(-.f64 (sin.f64 eps) x)
21.5b
(-.f64 (+.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 3) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
28.5b
(fma.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1) (sin.f64 eps))
37.5b
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) x)
52.8b
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
48.0b
(-.f64 (fabs.f64 (sin.f64 (+.f64 x eps))) (sin.f64 x))
0.5b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
0.4b
(fma.f64 (sin.f64 x) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)) (*.f64 (sin.f64 eps) (cos.f64 x)))
42.0b
(expm1.f64 (log.f64 (+.f64 1 (sin.f64 eps))))
0.5b
(fma.f64 (sin.f64 x) (log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 eps) (cos.f64 x)))
✓35.4b
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
0.5b
(fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x))))
61.3b
(-.f64 (sin.f64 x) (sin.f64 x))
34.2b
(expm1.f64 (*.f64 (cos.f64 x) eps))
48.9b
(pow.f64 (cbrt.f64 eps) 3)
60.7b
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 x) 2)) (sin.f64 x))
✓0.5b
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
37.8b
(-.f64 (sin.f64 (+.f64 x eps)) (sqrt.f64 (pow.f64 (sin.f64 x) 2)))
35.3b
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
36.7b
(-.f64 (sin.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (sin.f64 x)) 3))
30.5b
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
59.1b
(pow.f64 (pow.f64 eps 1/3) 3)
34.9b
(*.f64 (log1p.f64 (expm1.f64 (cos.f64 x))) eps)
0.5b
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (log.f64 (exp.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
✓36.6b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
26.6b
(fma.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1) (log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 eps) (cos.f64 x))))))
✓34.8b
(*.f64 (cos.f64 x) eps)
35.0b
(fma.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)) (*.f64 eps (cos.f64 x)))
42.5b
(*.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
0.5b
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
34.9b
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 3)) eps)
61.2b
(-.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (sin.f64 x) 3)))
47.1b
(sqrt.f64 (pow.f64 (sin.f64 eps) 2))
14.7b
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (sin.f64 x) (sin.f64 x)))
42.2b
(-.f64 (+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1) 1)
0.5b
(fma.f64 (sin.f64 x) (log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 eps) (cos.f64 x)))
21.6b
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
51.3b
(*.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))
35.2b
(-.f64 (+.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
32.9b
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4)))))
42.0b
(*.f64 (sqrt.f64 (pow.f64 (cos.f64 x) 2)) eps)
21.9b
(-.f64 (+.f64 (-.f64 (-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) 2) 1) 1) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
21.0b
(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
56.7b
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2)))
✓20.9b
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
37.7b
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
✓29.4b
(sin.f64 eps)
36.2b
(-.f64 (+.f64 (-.f64 1 1) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
53.7b
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
Compiler

Compiled 923 to 640 computations (30.7% saved)

regimes842.0ms (4.4%)

Counts
156 → 1
Calls
Call 1
Inputs
eps
eps
(neg.f64 x)
(sin.f64 eps)
(-.f64 (sin.f64 eps) x)
(*.f64 (cos.f64 x) eps)
(-.f64 (sin.f64 (+.f64 x eps)) x)
(*.f64 (-.f64 (+.f64 1 (cos.f64 x)) 1) eps)
(*.f64 (-.f64 (+.f64 1 (cos.f64 x)) 1) eps)
(pow.f64 (cbrt.f64 eps) 3)
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 x) (sin.f64 x))
(pow.f64 (pow.f64 eps 1/3) 3)
(expm1.f64 (*.f64 (cos.f64 x) eps))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) x)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x)))
(-.f64 (+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1) 1)
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
(-.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(*.f64 (*.f64 (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(sqrt.f64 (pow.f64 (sin.f64 eps) 2))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) eps)))
(expm1.f64 (log.f64 (+.f64 1 (sin.f64 eps))))
(*.f64 (log1p.f64 (expm1.f64 (cos.f64 x))) eps)
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 x)) 2) eps)
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 3)) eps)
(*.f64 (sqrt.f64 (pow.f64 (cos.f64 x) 2)) eps)
(-.f64 (fabs.f64 (sin.f64 (+.f64 x eps))) (sin.f64 x))
(*.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))
(fma.f64 (cos.f64 eps) x (-.f64 (sin.f64 eps) x))
(-.f64 (sin.f64 (+.f64 x eps)) (cbrt.f64 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
(-.f64 (+.f64 (-.f64 1 1) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(fma.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)) (*.f64 eps (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) eps))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 eps) 2)) (sin.f64 x))
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 x) 2)) (sin.f64 x))
(-.f64 (sin.f64 eps) (cbrt.f64 (pow.f64 (sin.f64 x) 3)))
(-.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (sin.f64 x) 3)))
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(fma.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1) (sin.f64 eps))
(*.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2)))
(-.f64 (sin.f64 (+.f64 x eps)) (log1p.f64 (expm1.f64 (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (sin.f64 x))))
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (log1p.f64 (expm1.f64 (sin.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 x eps)) (log.f64 (exp.f64 (sin.f64 x))))
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (sin.f64 x)) 3))
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(-.f64 (sin.f64 (+.f64 x eps)) (cbrt.f64 (pow.f64 (sin.f64 x) 3)))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sqrt.f64 (pow.f64 (sin.f64 x) 2)))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (sin.f64 x)) 3))
(+.f64 (sin.f64 eps) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (sin.f64 x) (sin.f64 x)))
(-.f64 (+.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(fma.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))) (*.f64 (cos.f64 x) (-.f64 eps (*.f64 (pow.f64 eps 3) 1/6))))
(*.f64 (pow.f64 (cbrt.f64 2) 3) (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(log.f64 (/.f64 (exp.f64 (sin.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 (sin.f64 x)))))
(-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))
(+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(-.f64 (+.f64 (-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 1) 1) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4)))))
(fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (sin.f64 x) (*.f64 (*.f64 eps eps) (+.f64 -1/2 (*.f64 (*.f64 eps eps) 1/24)))))
(fma.f64 (cos.f64 x) (-.f64 eps (*.f64 (pow.f64 eps 3) 1/6)) (*.f64 (sin.f64 x) (+.f64 (*.f64 eps (*.f64 eps -1/2)) (*.f64 1/24 (pow.f64 eps 4)))))
(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (log.f64 (exp.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (exp.f64 (log.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 2))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 3))
(-.f64 (+.f64 (-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) 1) 1) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(-.f64 (+.f64 (-.f64 (-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) 2) 1) 1) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x))))
(fma.f64 (sin.f64 x) (log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 x) (log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 eps) (cos.f64 x)))
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) 3))
(fma.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) 3))
(fma.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1) (log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 eps) (cos.f64 x))))))
(-.f64 (+.f64 (expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(-.f64 (+.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(-.f64 (+.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 3) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(-.f64 (+.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 3) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) 2)) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) 3)) (sin.f64 x))
(-.f64 (+.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 3) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3))) (sin.f64 x))
(fma.f64 (sin.f64 x) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 eps) (cos.f64 x))))) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))) 1)) (sin.f64 x))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(fma.f64 (*.f64 (cos.f64 x) (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(-.f64 (log.f64 (*.f64 (exp.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (exp.f64 (*.f64 (sin.f64 eps) (cos.f64 x))))) (sin.f64 x))
(-.f64 (log.f64 (*.f64 (exp.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (exp.f64 (*.f64 (sin.f64 x) (cos.f64 eps))))) (sin.f64 x))
(fma.f64 (*.f64 (cos.f64 eps) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (sqrt.f64 (sin.f64 eps)) (*.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(fma.f64 (*.f64 (sin.f64 x) (sqrt.f64 (cos.f64 eps))) (sqrt.f64 (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(fma.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (*.f64 (sin.f64 eps) (cbrt.f64 (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (cos.f64 x)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)) (neg.f64 (sin.f64 x))))
(-.f64 (fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) 2) (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 eps)) (fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) 2) (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(-.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(-.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2)) (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x))))
(fma.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))) (cbrt.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))) (cbrt.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))) (cbrt.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))) (cbrt.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))) (*.f64 (sin.f64 x) (cos.f64 eps)))
Outputs
(fma.f64 (sin.f64 x) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)) (*.f64 (sin.f64 eps) (cos.f64 x)))
Calls

4 calls:

270.0ms
x
243.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
120.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
107.0ms
eps
Results
ErrorSegmentsBranch
0.4b1x
0.4b1eps
0.4b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
0.4b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 2047 to 648 computations (68.3% saved)

regimes437.0ms (2.3%)

Counts
126 → 1
Calls
Call 1
Inputs
eps
eps
(neg.f64 x)
(sin.f64 eps)
(-.f64 (sin.f64 eps) x)
(*.f64 (cos.f64 x) eps)
(-.f64 (sin.f64 (+.f64 x eps)) x)
(*.f64 (-.f64 (+.f64 1 (cos.f64 x)) 1) eps)
(*.f64 (-.f64 (+.f64 1 (cos.f64 x)) 1) eps)
(pow.f64 (cbrt.f64 eps) 3)
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 x) (sin.f64 x))
(pow.f64 (pow.f64 eps 1/3) 3)
(expm1.f64 (*.f64 (cos.f64 x) eps))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) x)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x)))
(-.f64 (+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1) 1)
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
(-.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(*.f64 (*.f64 (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(sqrt.f64 (pow.f64 (sin.f64 eps) 2))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) eps)))
(expm1.f64 (log.f64 (+.f64 1 (sin.f64 eps))))
(*.f64 (log1p.f64 (expm1.f64 (cos.f64 x))) eps)
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 x)) 2) eps)
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 3)) eps)
(*.f64 (sqrt.f64 (pow.f64 (cos.f64 x) 2)) eps)
(-.f64 (fabs.f64 (sin.f64 (+.f64 x eps))) (sin.f64 x))
(*.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))
(fma.f64 (cos.f64 eps) x (-.f64 (sin.f64 eps) x))
(-.f64 (sin.f64 (+.f64 x eps)) (cbrt.f64 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
(-.f64 (+.f64 (-.f64 1 1) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(fma.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)) (*.f64 eps (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) eps))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 eps) 2)) (sin.f64 x))
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 x) 2)) (sin.f64 x))
(-.f64 (sin.f64 eps) (cbrt.f64 (pow.f64 (sin.f64 x) 3)))
(-.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (sin.f64 x) 3)))
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(fma.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1) (sin.f64 eps))
(*.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2)))
(-.f64 (sin.f64 (+.f64 x eps)) (log1p.f64 (expm1.f64 (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (sin.f64 x))))
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (log1p.f64 (expm1.f64 (sin.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 x eps)) (log.f64 (exp.f64 (sin.f64 x))))
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (sin.f64 x)) 3))
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(-.f64 (sin.f64 (+.f64 x eps)) (cbrt.f64 (pow.f64 (sin.f64 x) 3)))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sqrt.f64 (pow.f64 (sin.f64 x) 2)))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (sin.f64 x)) 3))
(+.f64 (sin.f64 eps) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (sin.f64 x) (sin.f64 x)))
(-.f64 (+.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(fma.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))) (*.f64 (cos.f64 x) (-.f64 eps (*.f64 (pow.f64 eps 3) 1/6))))
(*.f64 (pow.f64 (cbrt.f64 2) 3) (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(log.f64 (/.f64 (exp.f64 (sin.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 (sin.f64 x)))))
(-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))
(+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(-.f64 (+.f64 (-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 1) 1) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4)))))
(fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (sin.f64 x) (*.f64 (*.f64 eps eps) (+.f64 -1/2 (*.f64 (*.f64 eps eps) 1/24)))))
(fma.f64 (cos.f64 x) (-.f64 eps (*.f64 (pow.f64 eps 3) 1/6)) (*.f64 (sin.f64 x) (+.f64 (*.f64 eps (*.f64 eps -1/2)) (*.f64 1/24 (pow.f64 eps 4)))))
(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (log.f64 (exp.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (exp.f64 (log.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 2))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 3))
(-.f64 (+.f64 (-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) 1) 1) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(-.f64 (+.f64 (-.f64 (-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) 2) 1) 1) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x))))
(fma.f64 (sin.f64 x) (log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 x) (log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 eps) (cos.f64 x)))
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) 3))
(fma.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) 3))
(fma.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1) (log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 eps) (cos.f64 x))))))
(-.f64 (+.f64 (expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(-.f64 (+.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(-.f64 (+.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 3) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(-.f64 (+.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 3) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) 2)) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) 3)) (sin.f64 x))
(-.f64 (+.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 3) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3))) (sin.f64 x))
Outputs
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
Calls

4 calls:

118.0ms
eps
101.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
94.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
82.0ms
x
Results
ErrorSegmentsBranch
0.5b1x
0.5b1eps
0.5b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
0.5b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 1395 to 493 computations (64.7% saved)

regimes238.0ms (1.3%)

Counts
94 → 1
Calls
Call 1
Inputs
eps
eps
(neg.f64 x)
(sin.f64 eps)
(-.f64 (sin.f64 eps) x)
(*.f64 (cos.f64 x) eps)
(-.f64 (sin.f64 (+.f64 x eps)) x)
(*.f64 (-.f64 (+.f64 1 (cos.f64 x)) 1) eps)
(*.f64 (-.f64 (+.f64 1 (cos.f64 x)) 1) eps)
(pow.f64 (cbrt.f64 eps) 3)
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 x) (sin.f64 x))
(pow.f64 (pow.f64 eps 1/3) 3)
(expm1.f64 (*.f64 (cos.f64 x) eps))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) x)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x)))
(-.f64 (+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1) 1)
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
(-.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(*.f64 (*.f64 (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(sqrt.f64 (pow.f64 (sin.f64 eps) 2))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) eps)))
(expm1.f64 (log.f64 (+.f64 1 (sin.f64 eps))))
(*.f64 (log1p.f64 (expm1.f64 (cos.f64 x))) eps)
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 x)) 2) eps)
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 3)) eps)
(*.f64 (sqrt.f64 (pow.f64 (cos.f64 x) 2)) eps)
(-.f64 (fabs.f64 (sin.f64 (+.f64 x eps))) (sin.f64 x))
(*.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))
(fma.f64 (cos.f64 eps) x (-.f64 (sin.f64 eps) x))
(-.f64 (sin.f64 (+.f64 x eps)) (cbrt.f64 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
(-.f64 (+.f64 (-.f64 1 1) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(fma.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)) (*.f64 eps (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) eps))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 eps) 2)) (sin.f64 x))
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 x) 2)) (sin.f64 x))
(-.f64 (sin.f64 eps) (cbrt.f64 (pow.f64 (sin.f64 x) 3)))
(-.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (sin.f64 x) 3)))
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(fma.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1) (sin.f64 eps))
(*.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2)))
(-.f64 (sin.f64 (+.f64 x eps)) (log1p.f64 (expm1.f64 (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (sin.f64 x))))
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (log1p.f64 (expm1.f64 (sin.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 x eps)) (log.f64 (exp.f64 (sin.f64 x))))
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (sin.f64 x)) 3))
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(-.f64 (sin.f64 (+.f64 x eps)) (cbrt.f64 (pow.f64 (sin.f64 x) 3)))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sqrt.f64 (pow.f64 (sin.f64 x) 2)))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (sin.f64 x)) 3))
(+.f64 (sin.f64 eps) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (sin.f64 x) (sin.f64 x)))
(-.f64 (+.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(fma.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))) (*.f64 (cos.f64 x) (-.f64 eps (*.f64 (pow.f64 eps 3) 1/6))))
(*.f64 (pow.f64 (cbrt.f64 2) 3) (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(log.f64 (/.f64 (exp.f64 (sin.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 (sin.f64 x)))))
(-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))
(+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))
Outputs
(fma.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (cos.f64 x)))
Calls

4 calls:

78.0ms
eps
61.0ms
x
36.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
34.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
ErrorSegmentsBranch
0.5b1x
0.5b1eps
0.5b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
0.5b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 885 to 335 computations (62.1% saved)

regimes202.0ms (1.1%)

Counts
88 → 1
Calls
Call 1
Inputs
eps
eps
(neg.f64 x)
(sin.f64 eps)
(-.f64 (sin.f64 eps) x)
(*.f64 (cos.f64 x) eps)
(-.f64 (sin.f64 (+.f64 x eps)) x)
(*.f64 (-.f64 (+.f64 1 (cos.f64 x)) 1) eps)
(*.f64 (-.f64 (+.f64 1 (cos.f64 x)) 1) eps)
(pow.f64 (cbrt.f64 eps) 3)
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 x) (sin.f64 x))
(pow.f64 (pow.f64 eps 1/3) 3)
(expm1.f64 (*.f64 (cos.f64 x) eps))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) x)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x)))
(-.f64 (+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1) 1)
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
(-.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(*.f64 (*.f64 (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(sqrt.f64 (pow.f64 (sin.f64 eps) 2))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) eps)))
(expm1.f64 (log.f64 (+.f64 1 (sin.f64 eps))))
(*.f64 (log1p.f64 (expm1.f64 (cos.f64 x))) eps)
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 x)) 2) eps)
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 3)) eps)
(*.f64 (sqrt.f64 (pow.f64 (cos.f64 x) 2)) eps)
(-.f64 (fabs.f64 (sin.f64 (+.f64 x eps))) (sin.f64 x))
(*.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))
(fma.f64 (cos.f64 eps) x (-.f64 (sin.f64 eps) x))
(-.f64 (sin.f64 (+.f64 x eps)) (cbrt.f64 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
(-.f64 (+.f64 (-.f64 1 1) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(fma.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)) (*.f64 eps (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) eps))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 eps) 2)) (sin.f64 x))
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 x) 2)) (sin.f64 x))
(-.f64 (sin.f64 eps) (cbrt.f64 (pow.f64 (sin.f64 x) 3)))
(-.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (sin.f64 x) 3)))
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(fma.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1) (sin.f64 eps))
(*.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2)))
(-.f64 (sin.f64 (+.f64 x eps)) (log1p.f64 (expm1.f64 (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (sin.f64 x))))
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (log1p.f64 (expm1.f64 (sin.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 x eps)) (log.f64 (exp.f64 (sin.f64 x))))
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (sin.f64 x)) 3))
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(-.f64 (sin.f64 (+.f64 x eps)) (cbrt.f64 (pow.f64 (sin.f64 x) 3)))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sqrt.f64 (pow.f64 (sin.f64 x) 2)))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (sin.f64 x)) 3))
(+.f64 (sin.f64 eps) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (sin.f64 x) (sin.f64 x)))
(-.f64 (+.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(fma.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))) (*.f64 (cos.f64 x) (-.f64 eps (*.f64 (pow.f64 eps 3) 1/6))))
(*.f64 (pow.f64 (cbrt.f64 2) 3) (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
Outputs
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
Calls

4 calls:

58.0ms
eps
56.0ms
x
32.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
31.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
ErrorSegmentsBranch
0.5b1x
0.5b1eps
0.5b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
0.5b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 809 to 317 computations (60.8% saved)

regimes182.0ms (1%)

Counts
82 → 1
Calls
Call 1
Inputs
eps
eps
(neg.f64 x)
(sin.f64 eps)
(-.f64 (sin.f64 eps) x)
(*.f64 (cos.f64 x) eps)
(-.f64 (sin.f64 (+.f64 x eps)) x)
(*.f64 (-.f64 (+.f64 1 (cos.f64 x)) 1) eps)
(*.f64 (-.f64 (+.f64 1 (cos.f64 x)) 1) eps)
(pow.f64 (cbrt.f64 eps) 3)
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 x) (sin.f64 x))
(pow.f64 (pow.f64 eps 1/3) 3)
(expm1.f64 (*.f64 (cos.f64 x) eps))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) x)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x)))
(-.f64 (+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1) 1)
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
(-.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(*.f64 (*.f64 (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(sqrt.f64 (pow.f64 (sin.f64 eps) 2))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) eps)))
(expm1.f64 (log.f64 (+.f64 1 (sin.f64 eps))))
(*.f64 (log1p.f64 (expm1.f64 (cos.f64 x))) eps)
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 x)) 2) eps)
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 3)) eps)
(*.f64 (sqrt.f64 (pow.f64 (cos.f64 x) 2)) eps)
(-.f64 (fabs.f64 (sin.f64 (+.f64 x eps))) (sin.f64 x))
(*.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))
(fma.f64 (cos.f64 eps) x (-.f64 (sin.f64 eps) x))
(-.f64 (sin.f64 (+.f64 x eps)) (cbrt.f64 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
(-.f64 (+.f64 (-.f64 1 1) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(fma.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)) (*.f64 eps (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) eps))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 eps) 2)) (sin.f64 x))
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 x) 2)) (sin.f64 x))
(-.f64 (sin.f64 eps) (cbrt.f64 (pow.f64 (sin.f64 x) 3)))
(-.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (sin.f64 x) 3)))
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(fma.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1) (sin.f64 eps))
(*.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2)))
(-.f64 (sin.f64 (+.f64 x eps)) (log1p.f64 (expm1.f64 (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (sin.f64 x))))
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (log1p.f64 (expm1.f64 (sin.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 x eps)) (log.f64 (exp.f64 (sin.f64 x))))
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (sin.f64 x)) 3))
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(-.f64 (sin.f64 (+.f64 x eps)) (cbrt.f64 (pow.f64 (sin.f64 x) 3)))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sqrt.f64 (pow.f64 (sin.f64 x) 2)))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (sin.f64 x)) 3))
(+.f64 (sin.f64 eps) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (sin.f64 x) (sin.f64 x)))
(-.f64 (+.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
Outputs
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (sin.f64 x) (sin.f64 x)))
Calls

4 calls:

52.0ms
x
50.0ms
eps
30.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
30.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
ErrorSegmentsBranch
14.7b1x
14.7b1eps
14.7b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
14.7b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 713 to 273 computations (61.7% saved)

regimes765.0ms (4%)

Counts
80 → 3
Calls
Call 1
Inputs
eps
eps
(neg.f64 x)
(sin.f64 eps)
(-.f64 (sin.f64 eps) x)
(*.f64 (cos.f64 x) eps)
(-.f64 (sin.f64 (+.f64 x eps)) x)
(*.f64 (-.f64 (+.f64 1 (cos.f64 x)) 1) eps)
(*.f64 (-.f64 (+.f64 1 (cos.f64 x)) 1) eps)
(pow.f64 (cbrt.f64 eps) 3)
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 x) (sin.f64 x))
(pow.f64 (pow.f64 eps 1/3) 3)
(expm1.f64 (*.f64 (cos.f64 x) eps))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) x)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x)))
(-.f64 (+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1) 1)
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
(-.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(*.f64 (*.f64 (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(sqrt.f64 (pow.f64 (sin.f64 eps) 2))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) eps)))
(expm1.f64 (log.f64 (+.f64 1 (sin.f64 eps))))
(*.f64 (log1p.f64 (expm1.f64 (cos.f64 x))) eps)
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 x)) 2) eps)
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 3)) eps)
(*.f64 (sqrt.f64 (pow.f64 (cos.f64 x) 2)) eps)
(-.f64 (fabs.f64 (sin.f64 (+.f64 x eps))) (sin.f64 x))
(*.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))
(fma.f64 (cos.f64 eps) x (-.f64 (sin.f64 eps) x))
(-.f64 (sin.f64 (+.f64 x eps)) (cbrt.f64 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
(-.f64 (+.f64 (-.f64 1 1) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(fma.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)) (*.f64 eps (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) eps))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 eps) 2)) (sin.f64 x))
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 x) 2)) (sin.f64 x))
(-.f64 (sin.f64 eps) (cbrt.f64 (pow.f64 (sin.f64 x) 3)))
(-.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (sin.f64 x) 3)))
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(fma.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1) (sin.f64 eps))
(*.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2)))
(-.f64 (sin.f64 (+.f64 x eps)) (log1p.f64 (expm1.f64 (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (sin.f64 x))))
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (log1p.f64 (expm1.f64 (sin.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 x eps)) (log.f64 (exp.f64 (sin.f64 x))))
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (sin.f64 x)) 3))
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(-.f64 (sin.f64 (+.f64 x eps)) (cbrt.f64 (pow.f64 (sin.f64 x) 3)))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sqrt.f64 (pow.f64 (sin.f64 x) 2)))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (sin.f64 x)) 3))
(+.f64 (sin.f64 eps) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
Outputs
(-.f64 (+.f64 (-.f64 1 1) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) eps))
(-.f64 (+.f64 (-.f64 1 1) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
Calls

4 calls:

259.0ms
eps
257.0ms
x
156.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
71.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
ErrorSegmentsBranch
16.1b3x
14.0b3eps
15.3b3(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
15.3b3(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 691 to 270 computations (60.9% saved)

bsearch189.0ms (1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
96.0ms
5.573415221579436e-13
4099366633883406300.0
92.0ms
-8536231994861.184
-66854077635.15686
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes509.0ms (2.7%)

Counts
48 → 3
Calls
Call 1
Inputs
eps
eps
(neg.f64 x)
(sin.f64 eps)
(-.f64 (sin.f64 eps) x)
(*.f64 (cos.f64 x) eps)
(-.f64 (sin.f64 (+.f64 x eps)) x)
(*.f64 (-.f64 (+.f64 1 (cos.f64 x)) 1) eps)
(*.f64 (-.f64 (+.f64 1 (cos.f64 x)) 1) eps)
(pow.f64 (cbrt.f64 eps) 3)
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 x) (sin.f64 x))
(pow.f64 (pow.f64 eps 1/3) 3)
(expm1.f64 (*.f64 (cos.f64 x) eps))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) x)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x)))
(-.f64 (+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1) 1)
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
(-.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(*.f64 (*.f64 (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(sqrt.f64 (pow.f64 (sin.f64 eps) 2))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) eps)))
(expm1.f64 (log.f64 (+.f64 1 (sin.f64 eps))))
(*.f64 (log1p.f64 (expm1.f64 (cos.f64 x))) eps)
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 x)) 2) eps)
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 3)) eps)
(*.f64 (sqrt.f64 (pow.f64 (cos.f64 x) 2)) eps)
(-.f64 (fabs.f64 (sin.f64 (+.f64 x eps))) (sin.f64 x))
(*.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))
(fma.f64 (cos.f64 eps) x (-.f64 (sin.f64 eps) x))
(-.f64 (sin.f64 (+.f64 x eps)) (cbrt.f64 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
(-.f64 (+.f64 (-.f64 1 1) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(fma.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)) (*.f64 eps (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
Outputs
(-.f64 (+.f64 (-.f64 1 1) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(fma.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)) (*.f64 eps (cos.f64 x)))
(-.f64 (+.f64 (-.f64 1 1) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
Calls

4 calls:

159.0ms
eps
138.0ms
x
95.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
95.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
ErrorSegmentsBranch
16.1b3x
14.1b3eps
15.4b3(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
15.4b3(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 391 to 171 computations (56.3% saved)

bsearch198.0ms (1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
96.0ms
5.573415221579436e-13
4099366633883406300.0
101.0ms
-0.0052071745123544975
-6.460716559537103e-5
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes395.0ms (2.1%)

Counts
46 → 3
Calls
Call 1
Inputs
eps
eps
(neg.f64 x)
(sin.f64 eps)
(-.f64 (sin.f64 eps) x)
(*.f64 (cos.f64 x) eps)
(-.f64 (sin.f64 (+.f64 x eps)) x)
(*.f64 (-.f64 (+.f64 1 (cos.f64 x)) 1) eps)
(*.f64 (-.f64 (+.f64 1 (cos.f64 x)) 1) eps)
(pow.f64 (cbrt.f64 eps) 3)
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 x) (sin.f64 x))
(pow.f64 (pow.f64 eps 1/3) 3)
(expm1.f64 (*.f64 (cos.f64 x) eps))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) x)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x)))
(-.f64 (+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1) 1)
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
(-.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(*.f64 (*.f64 (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(sqrt.f64 (pow.f64 (sin.f64 eps) 2))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) eps)))
(expm1.f64 (log.f64 (+.f64 1 (sin.f64 eps))))
(*.f64 (log1p.f64 (expm1.f64 (cos.f64 x))) eps)
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 x)) 2) eps)
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 3)) eps)
(*.f64 (sqrt.f64 (pow.f64 (cos.f64 x) 2)) eps)
(-.f64 (fabs.f64 (sin.f64 (+.f64 x eps))) (sin.f64 x))
(*.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))
(fma.f64 (cos.f64 eps) x (-.f64 (sin.f64 eps) x))
(-.f64 (sin.f64 (+.f64 x eps)) (cbrt.f64 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
(-.f64 (+.f64 (-.f64 1 1) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
Outputs
(-.f64 (+.f64 (-.f64 1 1) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x)))
(-.f64 (+.f64 (-.f64 1 1) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
Calls

4 calls:

131.0ms
eps
91.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
88.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
65.0ms
x
Results
ErrorSegmentsBranch
16.1b3x
14.1b3eps
15.4b3(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
15.4b3(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 366 to 160 computations (56.3% saved)

bsearch115.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
57.0ms
5.573415221579436e-13
4099366633883406300.0
58.0ms
-0.0052071745123544975
-6.460716559537103e-5
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes345.0ms (1.8%)

Counts
45 → 3
Calls
Call 1
Inputs
eps
eps
(neg.f64 x)
(sin.f64 eps)
(-.f64 (sin.f64 eps) x)
(*.f64 (cos.f64 x) eps)
(-.f64 (sin.f64 (+.f64 x eps)) x)
(*.f64 (-.f64 (+.f64 1 (cos.f64 x)) 1) eps)
(*.f64 (-.f64 (+.f64 1 (cos.f64 x)) 1) eps)
(pow.f64 (cbrt.f64 eps) 3)
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 x) (sin.f64 x))
(pow.f64 (pow.f64 eps 1/3) 3)
(expm1.f64 (*.f64 (cos.f64 x) eps))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) x)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x)))
(-.f64 (+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1) 1)
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
(-.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(*.f64 (*.f64 (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(sqrt.f64 (pow.f64 (sin.f64 eps) 2))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) eps)))
(expm1.f64 (log.f64 (+.f64 1 (sin.f64 eps))))
(*.f64 (log1p.f64 (expm1.f64 (cos.f64 x))) eps)
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 x)) 2) eps)
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 3)) eps)
(*.f64 (sqrt.f64 (pow.f64 (cos.f64 x) 2)) eps)
(-.f64 (fabs.f64 (sin.f64 (+.f64 x eps))) (sin.f64 x))
(*.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))
(fma.f64 (cos.f64 eps) x (-.f64 (sin.f64 eps) x))
(-.f64 (sin.f64 (+.f64 x eps)) (cbrt.f64 (pow.f64 x 3)))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
Outputs
(-.f64 (sin.f64 eps) (sin.f64 x))
(*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x)))
(-.f64 (sin.f64 eps) (sin.f64 x))
Calls

4 calls:

136.0ms
x
124.0ms
eps
37.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
36.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
ErrorSegmentsBranch
16.1b3x
14.9b3eps
15.5b3(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
15.5b3(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 354 to 154 computations (56.5% saved)

bsearch117.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
58.0ms
5.573415221579436e-13
4099366633883406300.0
59.0ms
-0.0052071745123544975
-6.460716559537103e-5
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes90.0ms (0.5%)

Counts
23 → 3
Calls
Call 1
Inputs
eps
eps
(neg.f64 x)
(sin.f64 eps)
(-.f64 (sin.f64 eps) x)
(*.f64 (cos.f64 x) eps)
(-.f64 (sin.f64 (+.f64 x eps)) x)
(*.f64 (-.f64 (+.f64 1 (cos.f64 x)) 1) eps)
(*.f64 (-.f64 (+.f64 1 (cos.f64 x)) 1) eps)
(pow.f64 (cbrt.f64 eps) 3)
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 x) (sin.f64 x))
(pow.f64 (pow.f64 eps 1/3) 3)
(expm1.f64 (*.f64 (cos.f64 x) eps))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) x)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
Outputs
(-.f64 (sin.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(-.f64 (sin.f64 eps) (sin.f64 x))
Calls

3 calls:

34.0ms
x
32.0ms
eps
20.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
ErrorSegmentsBranch
16.1b3x
15.2b3eps
15.5b3(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 144 to 62 computations (56.9% saved)

bsearch118.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
57.0ms
5.573415221579436e-13
4099366633883406300.0
61.0ms
-0.0052071745123544975
-6.460716559537103e-5
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes39.0ms (0.2%)

Counts
10 → 3
Calls
Call 1
Inputs
eps
eps
(neg.f64 x)
(sin.f64 eps)
(-.f64 (sin.f64 eps) x)
(*.f64 (cos.f64 x) eps)
(-.f64 (sin.f64 (+.f64 x eps)) x)
(*.f64 (-.f64 (+.f64 1 (cos.f64 x)) 1) eps)
(*.f64 (-.f64 (+.f64 1 (cos.f64 x)) 1) eps)
(pow.f64 (cbrt.f64 eps) 3)
Outputs
(sin.f64 eps)
(*.f64 (cos.f64 x) eps)
(sin.f64 eps)
Calls

2 calls:

18.0ms
eps
17.0ms
x
Results
ErrorSegmentsBranch
16.8b3x
15.6b3eps
Compiler

Compiled 48 to 27 computations (43.8% saved)

bsearch117.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
57.0ms
5.573415221579436e-13
4099366633883406300.0
59.0ms
-0.0052071745123544975
-6.460716559537103e-5
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes11.0ms (0.1%)

Counts
5 → 1
Calls
Call 1
Inputs
eps
eps
(neg.f64 x)
(sin.f64 eps)
(-.f64 (sin.f64 eps) x)
Outputs
(sin.f64 eps)
Calls

2 calls:

5.0ms
eps
4.0ms
x
Results
ErrorSegmentsBranch
29.4b1x
29.4b1eps
Compiler

Compiled 18 to 9 computations (50% saved)

regimes8.0ms (0%)

Accuracy

Total -13.6b remaining (-27.9%)

Threshold costs -13.6b (-27.9%)

Counts
3 → 1
Calls
Call 1
Inputs
eps
eps
(neg.f64 x)
Outputs
eps
Calls

2 calls:

4.0ms
x
4.0ms
eps
Results
ErrorSegmentsBranch
48.7b1x
48.7b1eps
Compiler

Compiled 12 to 7 computations (41.7% saved)

simplify19.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
15×+-commutative_binary64
12×*-commutative_binary64
8×sub-neg_binary64
3×neg-sub0_binary64
3×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062388
193388
2103388
3108388
4110388
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(fma.f64 (sin.f64 x) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(fma.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (sin.f64 x) (sin.f64 x)))
(if (<=.f64 eps -2185275390684463/256) (-.f64 (+.f64 (-.f64 1 1) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x)) (if (<=.f64 eps 5519643086684627/9903520314283042199192993792) (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) eps)) (-.f64 (+.f64 (-.f64 1 1) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))))
(if (<=.f64 eps -1500865868383543/288230376151711744) (-.f64 (+.f64 (-.f64 1 1) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x)) (if (<=.f64 eps 5519643086684627/9903520314283042199192993792) (fma.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)) (*.f64 eps (cos.f64 x))) (-.f64 (+.f64 (-.f64 1 1) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))))
(if (<=.f64 eps -1500865868383543/288230376151711744) (-.f64 (+.f64 (-.f64 1 1) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x)) (if (<=.f64 eps 5519643086684627/9903520314283042199192993792) (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x))) (-.f64 (+.f64 (-.f64 1 1) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))))
(if (<=.f64 eps -1500865868383543/288230376151711744) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 5519643086684627/9903520314283042199192993792) (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x))) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -1500865868383543/288230376151711744) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 5519643086684627/9903520314283042199192993792) (*.f64 (cos.f64 x) eps) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -1500865868383543/288230376151711744) (sin.f64 eps) (if (<=.f64 eps 5519643086684627/9903520314283042199192993792) (*.f64 (cos.f64 x) eps) (sin.f64 eps)))
(sin.f64 eps)
eps
Outputs
(fma.f64 (sin.f64 x) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(fma.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (sin.f64 x) (sin.f64 x)))
(if (<=.f64 eps -2185275390684463/256) (-.f64 (+.f64 (-.f64 1 1) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x)) (if (<=.f64 eps 5519643086684627/9903520314283042199192993792) (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) eps)) (-.f64 (+.f64 (-.f64 1 1) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))))
(if (<=.f64 eps -2185275390684463/256) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (if (<=.f64 eps 5519643086684627/9903520314283042199192993792) (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 eps (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x))))
(if (<=.f64 eps -1500865868383543/288230376151711744) (-.f64 (+.f64 (-.f64 1 1) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x)) (if (<=.f64 eps 5519643086684627/9903520314283042199192993792) (fma.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)) (*.f64 eps (cos.f64 x))) (-.f64 (+.f64 (-.f64 1 1) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))))
(if (<=.f64 eps -1500865868383543/288230376151711744) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (if (<=.f64 eps 5519643086684627/9903520314283042199192993792) (fma.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)) (*.f64 eps (cos.f64 x))) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x))))
(if (<=.f64 eps -1500865868383543/288230376151711744) (-.f64 (+.f64 (-.f64 1 1) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x)) (if (<=.f64 eps 5519643086684627/9903520314283042199192993792) (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x))) (-.f64 (+.f64 (-.f64 1 1) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))))
(if (<=.f64 eps -1500865868383543/288230376151711744) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (if (<=.f64 eps 5519643086684627/9903520314283042199192993792) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x))))
(if (<=.f64 eps -1500865868383543/288230376151711744) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 5519643086684627/9903520314283042199192993792) (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x))) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -1500865868383543/288230376151711744) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 5519643086684627/9903520314283042199192993792) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -1500865868383543/288230376151711744) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 5519643086684627/9903520314283042199192993792) (*.f64 (cos.f64 x) eps) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -1500865868383543/288230376151711744) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 5519643086684627/9903520314283042199192993792) (*.f64 eps (cos.f64 x)) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -1500865868383543/288230376151711744) (sin.f64 eps) (if (<=.f64 eps 5519643086684627/9903520314283042199192993792) (*.f64 (cos.f64 x) eps) (sin.f64 eps)))
(if (<=.f64 eps -1500865868383543/288230376151711744) (sin.f64 eps) (if (<=.f64 eps 5519643086684627/9903520314283042199192993792) (*.f64 eps (cos.f64 x)) (sin.f64 eps)))
(sin.f64 eps)
eps
Compiler

Compiled 273 to 153 computations (44% saved)

soundness0.0ms (0%)

end92.0ms (0.5%)

Compiler

Compiled 249 to 84 computations (66.3% saved)

Profiling

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