Details

Time bar (total: 16.7s)

analyze0.0ms (0%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
99.9%0%0.1%1
Compiler

Compiled 10 to 7 computations (30% saved)

sample4.4s (26.3%)

Results
2.1s3618×body1024valid
1.3s1222×body2048valid
523.0ms1393×body512valid
422.0ms2018×body256valid
8.0ms5×body4096valid

preprocess27.0ms (0.2%)

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)

simplify15.0ms (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
35.3b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶35.3b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓1.6b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
✓3.5b
(sin.f64 (+.f64 x eps))
Compiler

Compiled 20 to 6 computations (70% saved)

series10.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite105.0ms (0.6%)

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
0717
117317
2274517
Stop Event
1×node limit
Counts
2 → 171
Calls
Call 1
Inputs
(sin.f64 (+.f64 x eps))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Outputs
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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)))))))

simplify124.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
889×fma-neg_binary64
469×neg-sub0_binary64
426×neg-mul-1_binary64
346×distribute-rgt-neg-in_binary64
302×distribute-rgt-neg-out_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
068580
1191575
2466561
31747560
45053547
Stop Event
1×node limit
Counts
219 → 205
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))
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 (sin.f64 eps) (*.f64 x (*.f64 x -1/2)) (sin.f64 eps)))
(fma.f64 x (+.f64 (cos.f64 eps) (*.f64 x (*.f64 (sin.f64 eps) -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))))
(+.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 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)))) (fma.f64 (sin.f64 eps) (*.f64 x (*.f64 x -1/2)) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (*.f64 x (*.f64 x -1/2)) (fma.f64 (cos.f64 eps) (fma.f64 -1/6 (pow.f64 x 3) x) (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 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) (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 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)))))
(+.f64 (sin.f64 x) (+.f64 (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)) (*.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) (fma.f64 -1/6 (pow.f64 eps 3) eps)))
(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 (fma.f64 (cos.f64 eps) x (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 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)))
(-.f64 (fma.f64 (cos.f64 eps) x (fma.f64 (sin.f64 eps) (*.f64 x (*.f64 x -1/2)) (sin.f64 eps))) x)
(-.f64 (fma.f64 x (+.f64 (cos.f64 eps) (*.f64 x (*.f64 (sin.f64 eps) -1/2))) (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 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 x (+.f64 (cos.f64 eps) -1) (fma.f64 (*.f64 x x) (+.f64 (*.f64 (sin.f64 eps) -1/2) (*.f64 x (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 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))
(fma.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)) (*.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 (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 (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 eps (*.f64 -1/2 (*.f64 eps (sin.f64 x)))))
(fma.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))) (*.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 (*.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) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.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))

eval247.0ms (1.5%)

Compiler

Compiled 3642 to 1131 computations (68.9% saved)

prune148.0ms (0.9%)

Pruning

36 alts after pruning (35 fresh and 1 done)

PrunedKeptTotal
New17035205
Fresh000
Picked011
Done000
Total17036206
Error
0.2b
Counts
206 → 36
Alt Table
Click to see full alt table
StatusErrorProgram
43.6b
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
21.8b
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
27.1b
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
24.9b
(-.f64 (/.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)))))) (sin.f64 x))
22.4b
(-.f64 (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))) (sin.f64 x))
36.4b
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
43.4b
(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)))
49.3b
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
61.2b
(-.f64 (sin.f64 x) (sin.f64 x))
22.5b
(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)))
35.9b
(-.f64 (fma.f64 (cos.f64 eps) x (sin.f64 eps)) x)
▶21.8b
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
22.5b
(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)))
35.4b
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
36.2b
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
49.3b
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
35.8b
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
28.5b
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
22.6b
(-.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))
30.3b
(-.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))
21.8b
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
✓35.3b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
43.4b
(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)))
▶35.9b
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
43.4b
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps)))) (exp.f64 (sin.f64 x))))
36.2b
(-.f64 (fma.f64 x (+.f64 (cos.f64 eps) (*.f64 x (*.f64 (sin.f64 eps) -1/2))) (sin.f64 eps)) x)
36.0b
(-.f64 (sin.f64 eps) (sin.f64 x))
36.3b
(*.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))))
▶31.6b
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
▶31.2b
(*.f64 (cos.f64 x) eps)
21.8b
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
31.5b
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x)))))
43.6b
(-.f64 (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps))))) (sin.f64 x))
▶21.8b
(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
35.4b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
38.0b
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
Compiler

Compiled 1137 to 722 computations (36.5% saved)

localize34.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))
✓0.1b
(*.f64 (cos.f64 x) (sin.f64 eps))
✓2.1b
(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
Compiler

Compiled 40 to 9 computations (77.5% saved)

series19.0ms (0.1%)

Counts
3 → 56
Calls

18 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
2.0ms
eps
@inf
(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
2.0ms
x
@-inf
(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
2.0ms
eps
@-inf
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))
2.0ms
eps
@-inf
(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))

rewrite116.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
710×prod-diff_binary64
515×log-prod_binary64
333×pow-prod-down_binary64
289×pow2_binary64
281×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01045
120745
2273325
Stop Event
1×node limit
Counts
3 → 152
Calls
Call 1
Inputs
(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(*.f64 (cos.f64 x) (sin.f64 eps))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))
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 (+.f64 x eps)) (sin.f64 x)) (fma.f64 -1 (sin.f64 x) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.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 (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 (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 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (neg.f64 (sin.f64 x)) 3)) (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (-.f64 (pow.f64 (neg.f64 (sin.f64 x)) 2) (*.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (neg.f64 (sin.f64 x)) 2)) (-.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.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))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.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))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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((#(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 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.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 (cos.f64 x) (sin.f64 eps)))))) (#(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 (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))) (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.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 (sin.f64 (+.f64 x eps)) 1)))) (#(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 (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 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 (pow.f64 (exp.f64 (cos.f64 x)) (sin.f64 eps)) (exp.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)))) (exp.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.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 cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 (+.f64 eps x))))) (#(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))))))

simplify171.0ms (1%)

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
208 → 196
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)
(+.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))))
(+.f64 (*.f64 (sin.f64 eps) (fma.f64 -1/2 (*.f64 x x) 1)) (fma.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3) (*.f64 (+.f64 (cos.f64 eps) -1) x)))
(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)))
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(sin.f64 x)
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(+.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)))

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 10 to 4 computations (60% saved)

series34.0ms (0.2%)

Counts
1 → 8
Calls

6 calls:

TimeVariablePointExpression
29.0ms
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)
1.0ms
x
@inf
(*.f64 (cos.f64 x) eps)
1.0ms
eps
@-inf
(*.f64 (cos.f64 x) eps)

rewrite54.0ms (0.3%)

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
056
1976
211466
Stop Event
1×node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.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 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)))))))

simplify168.0ms (1%)

Algorithm
1×egg-herbie
Rules
515×distribute-lft-out_binary64
503×sqr-pow_binary64
492×distribute-rgt-out_binary64
432×*-commutative_binary64
398×associate-+l+_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
02494
15892
214588
344782
4197881
5399381
6424981
7456381
8508681
9584181
10658181
11753681
12798581
Stop Event
1×node limit
Counts
19 → 19
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))
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 eps (fma.f64 -1/2 (*.f64 x 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)))))
(fma.f64 (pow.f64 x 4) (*.f64 eps 1/24) (fma.f64 -1/2 (*.f64 eps (*.f64 x x)) eps))
(fma.f64 eps (fma.f64 -1/2 (*.f64 x x) (*.f64 1/24 (pow.f64 x 4))) 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))
(fma.f64 -1/720 (*.f64 eps (pow.f64 x 6)) (fma.f64 (pow.f64 x 4) (*.f64 eps 1/24) (fma.f64 -1/2 (*.f64 eps (*.f64 x x)) eps)))
(fma.f64 eps (fma.f64 -1/2 (*.f64 x x) (*.f64 1/24 (pow.f64 x 4))) (fma.f64 eps (*.f64 -1/720 (pow.f64 x 6)) eps))
(*.f64 eps (+.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 1/24 (pow.f64 x 4))) (fma.f64 -1/720 (pow.f64 x 6) 1)))
(*.f64 eps (+.f64 (fma.f64 1/24 (pow.f64 x 4) 1) (fma.f64 -1/2 (*.f64 x x) (*.f64 -1/720 (pow.f64 x 6)))))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))

localize109.0ms (0.7%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
0.1b
(*.f64 (cos.f64 x) eps)
✓3.6b
(*.f64 (pow.f64 eps 2) (sin.f64 x))
Compiler

Compiled 44 to 23 computations (47.7% saved)

series11.0ms (0.1%)

Counts
2 → 15
Calls

12 calls:

TimeVariablePointExpression
1.0ms
eps
@0
(*.f64 (pow.f64 eps 2) (sin.f64 x))
1.0ms
x
@0
(*.f64 (pow.f64 eps 2) (sin.f64 x))
1.0ms
eps
@inf
(*.f64 (pow.f64 eps 2) (sin.f64 x))
1.0ms
x
@inf
(*.f64 (pow.f64 eps 2) (sin.f64 x))
1.0ms
x
@inf
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))

rewrite117.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
599×log-prod_binary64
398×pow-prod-down_binary64
376×fma-def_binary64
317×pow2_binary64
220×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01227
125527
2318027
Stop Event
1×node limit
Counts
2 → 94
Calls
Call 1
Inputs
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 eps (*.f64 eps (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (*.f64 eps (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (*.f64 eps (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) (*.f64 eps (sin.f64 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) (*.f64 eps (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 eps (*.f64 eps (sin.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (*.f64 eps (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 eps (sqrt.f64 (sin.f64 x))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 eps (sqrt.f64 (sin.f64 x))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 eps (*.f64 eps (sin.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (sqrt.f64 (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 eps (sqrt.f64 (sin.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 eps) (*.f64 eps (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (*.f64 eps (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 eps (sqrt.f64 (sin.f64 x))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 eps (*.f64 eps (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 eps (*.f64 eps (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 eps (*.f64 eps (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 eps (*.f64 eps (sin.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 eps (sqrt.f64 (sin.f64 x))) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 eps (*.f64 eps (sin.f64 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 eps (sqrt.f64 (sin.f64 x)))) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 2) (fma.f64 eps (cos.f64 x) (*.f64 1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))) (/.f64 (*.f64 1/4 (pow.f64 (*.f64 eps (sqrt.f64 (sin.f64 x))) 4)) (fma.f64 eps (cos.f64 x) (*.f64 1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))) (pow.f64 (cbrt.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))) 2) (cbrt.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))) (sqrt.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/8 (pow.f64 (*.f64 eps (sqrt.f64 (sin.f64 x))) 6) (pow.f64 (*.f64 eps (cos.f64 x)) 3)) (/.f64 1 (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)) (-.f64 (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)) (*.f64 eps (cos.f64 x))) (pow.f64 (*.f64 eps (cos.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 2) (*.f64 1/4 (pow.f64 (*.f64 eps (sqrt.f64 (sin.f64 x))) 4))) (/.f64 1 (fma.f64 eps (cos.f64 x) (*.f64 1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)) (-.f64 (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)) (*.f64 eps (cos.f64 x))) (pow.f64 (*.f64 eps (cos.f64 x)) 2)) (fma.f64 -1/8 (pow.f64 (*.f64 eps (sqrt.f64 (sin.f64 x))) 6) (pow.f64 (*.f64 eps (cos.f64 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 eps (cos.f64 x) (*.f64 1/2 (*.f64 eps (*.f64 eps (sin.f64 x))))) (-.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 2) (*.f64 1/4 (pow.f64 (*.f64 eps (sqrt.f64 (sin.f64 x))) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1/8 (pow.f64 (*.f64 eps (sqrt.f64 (sin.f64 x))) 6) (pow.f64 (*.f64 eps (cos.f64 x)) 3)) (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)) (-.f64 (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)) (*.f64 eps (cos.f64 x))) (pow.f64 (*.f64 eps (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1/8 (pow.f64 (*.f64 eps (sqrt.f64 (sin.f64 x))) 6) (pow.f64 (*.f64 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simplify185.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
736×sqr-pow_binary64
643×distribute-lft-out_binary64
614×unswap-sqr_binary64
355×+-commutative_binary64
348×distribute-rgt-in_binary64
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
045279
1121277
2352259
31336237
42471237
53491237
63646237
73819236
84061236
94280236
105512236
116168236
126526236
136972236
147507236
Stop Event
1×node limit
Counts
109 → 115
Calls
Call 1
Inputs
(*.f64 (pow.f64 eps 2) x)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 (pow.f64 eps 2) x))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 2) (pow.f64 x 5))) (*.f64 (pow.f64 eps 2) x)))
(+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 eps 2) (pow.f64 x 7))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 2) (pow.f64 x 5))) (*.f64 (pow.f64 eps 2) x))))
eps
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) eps)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (+.f64 eps (+.f64 (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))) (*.f64 1/12 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
(+.f64 (*.f64 eps (cos.f64 x)) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 eps (cos.f64 x)) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 eps (cos.f64 x)) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 eps (cos.f64 x)) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(*.f64 (cos.f64 x) eps)
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
Outputs
(*.f64 (pow.f64 eps 2) x)
(*.f64 (*.f64 eps eps) x)
(*.f64 eps (*.f64 eps x))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 (pow.f64 eps 2) x))
(fma.f64 -1/6 (*.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 (*.f64 eps eps) x))
(fma.f64 -1/6 (*.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 eps (*.f64 eps x)))
(*.f64 (*.f64 eps eps) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 2) (pow.f64 x 5))) (*.f64 (pow.f64 eps 2) x)))
(fma.f64 -1/6 (*.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/120 (*.f64 (*.f64 eps eps) (pow.f64 x 5)) (*.f64 (*.f64 eps eps) x)))
(fma.f64 -1/6 (*.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/120 (*.f64 (*.f64 eps eps) (pow.f64 x 5)) (*.f64 eps (*.f64 eps x))))
(fma.f64 (*.f64 eps eps) (*.f64 1/120 (pow.f64 x 5)) (*.f64 (*.f64 eps eps) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))
(*.f64 (*.f64 eps eps) (+.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (*.f64 1/120 (pow.f64 x 5))))
(*.f64 (*.f64 eps eps) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))
(*.f64 (*.f64 eps eps) (+.f64 x (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 -1/6 (pow.f64 x 3)))))
(+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 eps 2) (pow.f64 x 7))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 2) (pow.f64 x 5))) (*.f64 (pow.f64 eps 2) x))))
(fma.f64 -1/5040 (*.f64 (*.f64 eps eps) (pow.f64 x 7)) (fma.f64 -1/6 (*.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/120 (*.f64 (*.f64 eps eps) (pow.f64 x 5)) (*.f64 (*.f64 eps eps) x))))
(fma.f64 -1/5040 (*.f64 eps (*.f64 eps (pow.f64 x 7))) (fma.f64 -1/6 (*.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/120 (*.f64 (*.f64 eps eps) (pow.f64 x 5)) (*.f64 eps (*.f64 eps x)))))
(+.f64 (*.f64 (*.f64 eps eps) (+.f64 x (*.f64 1/120 (pow.f64 x 5)))) (*.f64 (*.f64 eps eps) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -1/5040 (pow.f64 x 7)))))
(*.f64 (*.f64 eps eps) (+.f64 (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 -1/6 (pow.f64 x 3))) (+.f64 x (*.f64 -1/5040 (pow.f64 x 7)))))
(*.f64 (*.f64 eps eps) (+.f64 x (+.f64 (*.f64 1/120 (pow.f64 x 5)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -1/5040 (pow.f64 x 7))))))
(*.f64 (*.f64 eps eps) (+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 -1/5040 (pow.f64 x 7))))))
eps
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) eps)
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) x) eps)
(fma.f64 (*.f64 eps (*.f64 eps x)) -1/2 eps)
(fma.f64 (*.f64 eps eps) (*.f64 x -1/2) eps)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))))
(+.f64 (fma.f64 -1/2 (*.f64 (*.f64 eps eps) x) eps) (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(fma.f64 (*.f64 eps (*.f64 eps x)) -1/2 (fma.f64 -1/2 (*.f64 (*.f64 eps x) x) eps))
(fma.f64 eps (*.f64 x (*.f64 x -1/2)) (fma.f64 (*.f64 eps (*.f64 eps x)) -1/2 eps))
(+.f64 eps (*.f64 x (*.f64 (*.f64 eps -1/2) (+.f64 eps x))))
(+.f64 eps (*.f64 eps (*.f64 (*.f64 x -1/2) (+.f64 eps x))))
(+.f64 eps (*.f64 (*.f64 (*.f64 x -1/2) (+.f64 eps x)) eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (+.f64 eps (+.f64 (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))) (*.f64 1/12 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
(+.f64 (fma.f64 -1/2 (*.f64 (*.f64 eps eps) x) eps) (fma.f64 -1/2 (*.f64 eps (*.f64 x x)) (*.f64 (*.f64 (*.f64 eps eps) (pow.f64 x 3)) 1/12)))
(+.f64 (fma.f64 (*.f64 eps (*.f64 eps x)) -1/2 eps) (fma.f64 (*.f64 (*.f64 eps eps) (pow.f64 x 3)) 1/12 (*.f64 -1/2 (*.f64 (*.f64 eps x) x))))
(+.f64 (fma.f64 eps (*.f64 x (*.f64 x -1/2)) eps) (*.f64 (*.f64 eps eps) (+.f64 (*.f64 (pow.f64 x 3) 1/12) (*.f64 x -1/2))))
(+.f64 (*.f64 x (*.f64 (*.f64 eps -1/2) (+.f64 eps x))) (fma.f64 (*.f64 eps eps) (*.f64 (pow.f64 x 3) 1/12) eps))
(+.f64 (*.f64 eps (*.f64 (*.f64 x -1/2) (+.f64 eps x))) (fma.f64 (*.f64 eps eps) (*.f64 (pow.f64 x 3) 1/12) eps))
(*.f64 eps (+.f64 (+.f64 1 (*.f64 (pow.f64 x 3) (*.f64 eps 1/12))) (*.f64 (*.f64 x -1/2) (+.f64 eps x))))
(*.f64 eps (+.f64 1 (+.f64 (*.f64 eps (*.f64 (pow.f64 x 3) 1/12)) (*.f64 (*.f64 x -1/2) (+.f64 eps x)))))
(+.f64 eps (*.f64 (+.f64 (*.f64 eps (*.f64 (pow.f64 x 3) 1/12)) (*.f64 (*.f64 x -1/2) (+.f64 eps x))) eps))
(+.f64 eps (*.f64 eps (+.f64 (*.f64 eps (*.f64 (pow.f64 x 3) 1/12)) (*.f64 (*.f64 x -1/2) (+.f64 eps x)))))
(+.f64 (*.f64 eps (cos.f64 x)) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))))
(fma.f64 eps (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 (*.f64 eps eps) -1/2)))
(fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps eps) (*.f64 -1/2 (sin.f64 x))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
(+.f64 (*.f64 eps (cos.f64 x)) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))))
(fma.f64 eps (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 (*.f64 eps eps) -1/2)))
(fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps eps) (*.f64 -1/2 (sin.f64 x))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
(+.f64 (*.f64 eps (cos.f64 x)) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))))
(fma.f64 eps (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 (*.f64 eps eps) -1/2)))
(fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps eps) (*.f64 -1/2 (sin.f64 x))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
(+.f64 (*.f64 eps (cos.f64 x)) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))))
(fma.f64 eps (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 (*.f64 eps eps) -1/2)))
(fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps eps) (*.f64 -1/2 (sin.f64 x))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)))
(*.f64 (sin.f64 x) (*.f64 (*.f64 eps eps) -1/2))
(*.f64 (*.f64 eps eps) (*.f64 -1/2 (sin.f64 x)))
(*.f64 eps (*.f64 -1/2 (*.f64 eps (sin.f64 x))))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)))
(*.f64 (sin.f64 x) (*.f64 (*.f64 eps eps) -1/2))
(*.f64 (*.f64 eps eps) (*.f64 -1/2 (sin.f64 x)))
(*.f64 eps (*.f64 -1/2 (*.f64 eps (sin.f64 x))))

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.4b
(cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
✓0.4b
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
1.6b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
3.5b
(sin.f64 (+.f64 x eps))
Compiler

Compiled 39 to 10 computations (74.4% saved)

series122.0ms (0.7%)

Counts
2 → 40
Calls

12 calls:

TimeVariablePointExpression
53.0ms
x
@0
(cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
37.0ms
x
@0
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
11.0ms
eps
@0
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
5.0ms
x
@inf
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
4.0ms
x
@-inf
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)

rewrite141.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
515×log-prod_binary64
495×fma-def_binary64
338×pow-prod-down_binary64
305×pow2_binary64
220×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01024
123924
2321224
Stop Event
1×node limit
Counts
2 → 157
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
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)) (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (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)))))) 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(sin.f64 x) 2)) (/.f64 1 (+.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 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) 1) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (cbrt.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) 2) (cbrt.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1/6)) (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sin.f64 (*.f64 (+.f64 x (-.f64 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))) 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x eps)) 1/2)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (-.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 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (-.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)) 1/6) (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 2) (cbrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3))) (cbrt.f64 (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 pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 1))))))

simplify130.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
713×fma-def_binary64
603×distribute-rgt-in_binary64
601×distribute-lft-in_binary64
443×*-commutative_binary64
265×unsub-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01301894
14181799
215421677
370561677
Stop Event
1×node limit
Counts
197 → 181
Calls
Call 1
Inputs
(*.f64 (pow.f64 1 1/3) (sin.f64 eps))
(+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9) (-.f64 (cos.f64 eps) 1))) (*.f64 2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9) (-.f64 (cos.f64 eps) 1)))) x) (*.f64 (pow.f64 1 1/3) (sin.f64 eps)))
(+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9) (-.f64 (cos.f64 eps) 1))) (*.f64 2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9) (-.f64 (cos.f64 eps) 1)))) x) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)))) (pow.f64 1 1/3))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2))) (*.f64 (pow.f64 (*.f64 1 (sin.f64 eps)) 1/3) (+.f64 (*.f64 2/3 (*.f64 (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)))) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/3))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2))))))) (pow.f64 x 2)) (*.f64 (pow.f64 1 1/3) (sin.f64 eps))))
(+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9) (-.f64 (cos.f64 eps) 1))) (*.f64 2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9) (-.f64 (cos.f64 eps) 1)))) x) (+.f64 (*.f64 (+.f64 (*.f64 2/9 (*.f64 (*.f64 (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)))) (-.f64 (cos.f64 eps) 1)) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/9))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/3) (pow.f64 (-.f64 (cos.f64 eps) 1) 3))) (*.f64 2/3 (*.f64 (*.f64 (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)))) (-.f64 (cos.f64 eps) 1)) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/9))))))) (+.f64 (*.f64 (pow.f64 (*.f64 1 (sin.f64 eps)) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/3) (-.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/3) (pow.f64 (-.f64 (cos.f64 eps) 1) 3))) (*.f64 2/3 (*.f64 (*.f64 (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)))) (-.f64 (cos.f64 eps) 1)) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/9))))))) (*.f64 2/9 (*.f64 (*.f64 (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)))) (-.f64 (cos.f64 eps) 1)) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 8)) 1/9))))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/9) (*.f64 (-.f64 (cos.f64 eps) 1) (+.f64 (*.f64 2/3 (*.f64 (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)))) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/3))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)))))))))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)))) (pow.f64 1 1/3))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2))) (*.f64 (pow.f64 (*.f64 1 (sin.f64 eps)) 1/3) (+.f64 (*.f64 2/3 (*.f64 (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)))) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/3))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2))))))) (pow.f64 x 2)) (*.f64 (pow.f64 1 1/3) (sin.f64 eps)))))
(*.f64 (pow.f64 1 1/3) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(*.f64 (pow.f64 1 1/3) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(*.f64 (pow.f64 1 1/3) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(*.f64 (pow.f64 1 1/3) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(*.f64 (pow.f64 1 1/3) (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)))
(*.f64 (pow.f64 1 1/3) (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)))
(*.f64 (pow.f64 1 1/3) (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)))
(*.f64 (pow.f64 1 1/3) (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)))
(*.f64 (pow.f64 1 1/3) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(*.f64 (pow.f64 1 1/3) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(*.f64 (pow.f64 1 1/3) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(*.f64 (pow.f64 1 1/3) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(*.f64 (pow.f64 1 1/3) (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)))
(*.f64 (pow.f64 1 1/3) (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)))
(*.f64 (pow.f64 1 1/3) (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)))
(*.f64 (pow.f64 1 1/3) (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)))
(pow.f64 (sin.f64 eps) 1/3)
(+.f64 (pow.f64 (sin.f64 eps) 1/3) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/9) (*.f64 (-.f64 (cos.f64 eps) 1) x))))
(+.f64 (*.f64 1/3 (*.f64 (*.f64 (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)))) (pow.f64 x 2)) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/3))) (+.f64 (pow.f64 (sin.f64 eps) 1/3) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/9) (*.f64 (-.f64 (cos.f64 eps) 1) x)))))
(+.f64 (*.f64 1/3 (*.f64 (*.f64 (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)))) (pow.f64 x 2)) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/3))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/3) (*.f64 (-.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/3) (pow.f64 (-.f64 (cos.f64 eps) 1) 3))) (*.f64 2/3 (*.f64 (*.f64 (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)))) (-.f64 (cos.f64 eps) 1)) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/9))))) (pow.f64 x 3)))) (+.f64 (pow.f64 (sin.f64 eps) 1/3) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/9) (*.f64 (-.f64 (cos.f64 eps) 1) x))))))
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 1/3)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 1/3)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 1/3)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 1/3)
(pow.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)) 1/3)
(pow.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)) 1/3)
(pow.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)) 1/3)
(pow.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)) 1/3)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 1/3)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 1/3)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 1/3)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 1/3)
(pow.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)) 1/3)
(pow.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)) 1/3)
(pow.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)) 1/3)
(pow.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)) 1/3)
Outputs
(*.f64 (pow.f64 1 1/3) (sin.f64 eps))
(sin.f64 eps)
(+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9) (-.f64 (cos.f64 eps) 1))) (*.f64 2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9) (-.f64 (cos.f64 eps) 1)))) x) (*.f64 (pow.f64 1 1/3) (sin.f64 eps)))
(fma.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18)) (+.f64 (cos.f64 eps) -1)) 1) x (sin.f64 eps))
(fma.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18)) (+.f64 (cos.f64 eps) -1)) x (sin.f64 eps))
(+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9) (-.f64 (cos.f64 eps) 1))) (*.f64 2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9) (-.f64 (cos.f64 eps) 1)))) x) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)))) (pow.f64 1 1/3))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2))) (*.f64 (pow.f64 (*.f64 1 (sin.f64 eps)) 1/3) (+.f64 (*.f64 2/3 (*.f64 (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)))) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/3))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2))))))) (pow.f64 x 2)) (*.f64 (pow.f64 1 1/3) (sin.f64 eps))))
(fma.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18)) (+.f64 (cos.f64 eps) -1)) 1) x (fma.f64 (fma.f64 1/3 (*.f64 1 (-.f64 (*.f64 (sin.f64 eps) -1/2) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (+.f64 (cos.f64 eps) -1) 2))))) (fma.f64 2/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) (*.f64 (cbrt.f64 (sin.f64 eps)) (fma.f64 2/3 (*.f64 (-.f64 (*.f64 (sin.f64 eps) -1/2) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))) (cbrt.f64 (/.f64 1 (sin.f64 eps)))) (*.f64 1/9 (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18)))))))) (*.f64 x x) (sin.f64 eps)))
(fma.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18)) (+.f64 (cos.f64 eps) -1)) x (fma.f64 (fma.f64 1/3 (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) -1/3)) (fma.f64 (cbrt.f64 (sin.f64 eps)) (fma.f64 1/9 (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18))) (*.f64 2/3 (*.f64 (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) -1/3)) (cbrt.f64 (/.f64 1 (sin.f64 eps)))))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) 2/9)))) (*.f64 x x) (sin.f64 eps)))
(fma.f64 (fma.f64 1/3 (fma.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) -1/3) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (*.f64 (sin.f64 eps) -1/2)) (fma.f64 2/3 (*.f64 (cbrt.f64 (sin.f64 eps)) (*.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) -1/3) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (*.f64 (sin.f64 eps) -1/2)) (cbrt.f64 (/.f64 1 (sin.f64 eps))))) (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (+.f64 (*.f64 (cbrt.f64 (sin.f64 eps)) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18)))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) 2/9))))) (*.f64 x x) (fma.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18)) (+.f64 (cos.f64 eps) -1)) x (sin.f64 eps)))
(+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9) (-.f64 (cos.f64 eps) 1))) (*.f64 2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9) (-.f64 (cos.f64 eps) 1)))) x) (+.f64 (*.f64 (+.f64 (*.f64 2/9 (*.f64 (*.f64 (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)))) (-.f64 (cos.f64 eps) 1)) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/9))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/3) (pow.f64 (-.f64 (cos.f64 eps) 1) 3))) (*.f64 2/3 (*.f64 (*.f64 (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)))) (-.f64 (cos.f64 eps) 1)) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/9))))))) (+.f64 (*.f64 (pow.f64 (*.f64 1 (sin.f64 eps)) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/3) (-.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/3) (pow.f64 (-.f64 (cos.f64 eps) 1) 3))) (*.f64 2/3 (*.f64 (*.f64 (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)))) (-.f64 (cos.f64 eps) 1)) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/9))))))) (*.f64 2/9 (*.f64 (*.f64 (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)))) (-.f64 (cos.f64 eps) 1)) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 8)) 1/9))))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/9) (*.f64 (-.f64 (cos.f64 eps) 1) (+.f64 (*.f64 2/3 (*.f64 (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)))) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/3))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)))))))))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)))) (pow.f64 1 1/3))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2))) (*.f64 (pow.f64 (*.f64 1 (sin.f64 eps)) 1/3) (+.f64 (*.f64 2/3 (*.f64 (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)))) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/3))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2))))))) (pow.f64 x 2)) (*.f64 (pow.f64 1 1/3) (sin.f64 eps)))))
(fma.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18)) (+.f64 (cos.f64 eps) -1)) 1) x (fma.f64 (fma.f64 2/9 (*.f64 (-.f64 (*.f64 (sin.f64 eps) -1/2) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))) (*.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18)))) (+.f64 (*.f64 1/3 (-.f64 (fma.f64 -1/6 (cos.f64 eps) 1/6) (fma.f64 1/27 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2))) (pow.f64 (+.f64 (cos.f64 eps) -1) 3)) (*.f64 2/3 (*.f64 (-.f64 (*.f64 (sin.f64 eps) -1/2) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))) (*.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18)))))))) (fma.f64 (cbrt.f64 (sin.f64 eps)) (fma.f64 2/3 (*.f64 (cbrt.f64 (/.f64 1 (sin.f64 eps))) (-.f64 (fma.f64 -1/6 (cos.f64 eps) 1/6) (fma.f64 1/27 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2))) (pow.f64 (+.f64 (cos.f64 eps) -1) 3)) (*.f64 2/3 (*.f64 (-.f64 (*.f64 (sin.f64 eps) -1/2) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))) (*.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18)))))))) (*.f64 2/9 (*.f64 (-.f64 (*.f64 (sin.f64 eps) -1/2) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))) (*.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 8)) 1/18)))))) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18)) (*.f64 (+.f64 (cos.f64 eps) -1) (fma.f64 2/3 (*.f64 (-.f64 (*.f64 (sin.f64 eps) -1/2) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))) (cbrt.f64 (/.f64 1 (sin.f64 eps)))) (*.f64 1/9 (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18))))))))))) (pow.f64 x 3) (fma.f64 (fma.f64 1/3 (*.f64 1 (-.f64 (*.f64 (sin.f64 eps) -1/2) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (+.f64 (cos.f64 eps) -1) 2))))) (fma.f64 2/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) (*.f64 (cbrt.f64 (sin.f64 eps)) (fma.f64 2/3 (*.f64 (-.f64 (*.f64 (sin.f64 eps) -1/2) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))) (cbrt.f64 (/.f64 1 (sin.f64 eps)))) (*.f64 1/9 (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18)))))))) (*.f64 x x) (sin.f64 eps))))
(fma.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18)) (+.f64 (cos.f64 eps) -1)) x (fma.f64 (fma.f64 2/9 (*.f64 (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) -1/3)) (*.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18)))) (fma.f64 1/3 (-.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (fma.f64 2/3 (*.f64 (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) -1/3)) (*.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18)))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2))) (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) 1/27)))) (fma.f64 1/3 (*.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (fma.f64 1/9 (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18))) (*.f64 2/3 (*.f64 (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) -1/3)) (cbrt.f64 (/.f64 1 (sin.f64 eps)))))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18)))) (*.f64 (cbrt.f64 (sin.f64 eps)) (fma.f64 (*.f64 2/3 (cbrt.f64 (/.f64 1 (sin.f64 eps)))) (-.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (fma.f64 2/3 (*.f64 (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) -1/3)) (*.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18)))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2))) (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) 1/27)))) (*.f64 (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) -1/3)) (*.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 8)) 1/18))) 2/9))))))) (pow.f64 x 3) (fma.f64 (fma.f64 1/3 (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) -1/3)) (fma.f64 (cbrt.f64 (sin.f64 eps)) (fma.f64 1/9 (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18))) (*.f64 2/3 (*.f64 (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) -1/3)) (cbrt.f64 (/.f64 1 (sin.f64 eps)))))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) 2/9)))) (*.f64 x x) (sin.f64 eps))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) -1/3) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (*.f64 (sin.f64 eps) -1/2)) (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18) (*.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18)))) (+.f64 (*.f64 (-.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (fma.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) -1/3) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (*.f64 (sin.f64 eps) -1/2)) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18) (*.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18)))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2))) (*.f64 1/27 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))))) (+.f64 1/3 (*.f64 (cbrt.f64 (sin.f64 eps)) (*.f64 2/3 (cbrt.f64 (/.f64 1 (sin.f64 eps))))))) (fma.f64 2/9 (*.f64 (cbrt.f64 (sin.f64 eps)) (*.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) -1/3) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (*.f64 (sin.f64 eps) -1/2)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 8)) 1/18))))) (*.f64 1/3 (*.f64 (fma.f64 1/9 (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18))) (*.f64 2/3 (*.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) -1/3) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (*.f64 (sin.f64 eps) -1/2)) (cbrt.f64 (/.f64 1 (sin.f64 eps)))))) (*.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18)))))))) (pow.f64 x 3) (fma.f64 (fma.f64 1/3 (fma.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) -1/3) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (*.f64 (sin.f64 eps) -1/2)) (fma.f64 2/3 (*.f64 (cbrt.f64 (sin.f64 eps)) (*.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) -1/3) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (*.f64 (sin.f64 eps) -1/2)) (cbrt.f64 (/.f64 1 (sin.f64 eps))))) (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (+.f64 (*.f64 (cbrt.f64 (sin.f64 eps)) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18)))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) 2/9))))) (*.f64 x x) (fma.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18)) (+.f64 (cos.f64 eps) -1)) x (sin.f64 eps))))
(*.f64 (pow.f64 1 1/3) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(*.f64 1 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(*.f64 (pow.f64 1 1/3) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(*.f64 1 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(*.f64 (pow.f64 1 1/3) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(*.f64 1 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(*.f64 (pow.f64 1 1/3) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(*.f64 1 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(*.f64 (pow.f64 1 1/3) (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)))
(*.f64 1 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
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(*.f64 1 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
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(*.f64 1 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(*.f64 (pow.f64 1 1/3) (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)))
(*.f64 1 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(*.f64 (pow.f64 1 1/3) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(*.f64 1 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(*.f64 (pow.f64 1 1/3) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(*.f64 1 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(*.f64 (pow.f64 1 1/3) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(*.f64 1 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(*.f64 (pow.f64 1 1/3) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(*.f64 1 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(*.f64 (pow.f64 1 1/3) (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)))
(*.f64 1 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(*.f64 (pow.f64 1 1/3) (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)))
(*.f64 1 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(*.f64 (pow.f64 1 1/3) (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)))
(*.f64 1 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(*.f64 (pow.f64 1 1/3) (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)))
(*.f64 1 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(pow.f64 (sin.f64 eps) 1/3)
(cbrt.f64 (sin.f64 eps))
(+.f64 (pow.f64 (sin.f64 eps) 1/3) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/9) (*.f64 (-.f64 (cos.f64 eps) 1) x))))
(+.f64 (cbrt.f64 (sin.f64 eps)) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18)) (*.f64 (+.f64 (cos.f64 eps) -1) x))))
(fma.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18) (*.f64 (+.f64 (cos.f64 eps) -1) x))) (cbrt.f64 (sin.f64 eps)))
(fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18)) (fma.f64 (cos.f64 eps) x (neg.f64 x))) (cbrt.f64 (sin.f64 eps)))
(+.f64 (*.f64 1/3 (*.f64 (*.f64 (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)))) (pow.f64 x 2)) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/3))) (+.f64 (pow.f64 (sin.f64 eps) 1/3) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/9) (*.f64 (-.f64 (cos.f64 eps) 1) x)))))
(fma.f64 1/3 (*.f64 (-.f64 (*.f64 (sin.f64 eps) -1/2) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))) (*.f64 (*.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2))))) (+.f64 (cbrt.f64 (sin.f64 eps)) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18)) (*.f64 (+.f64 (cos.f64 eps) -1) x)))))
(fma.f64 1/3 (*.f64 (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) -1/3)) (*.f64 (*.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2))))) (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18) (*.f64 (+.f64 (cos.f64 eps) -1) x))) (cbrt.f64 (sin.f64 eps))))
(fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18)) (fma.f64 (cos.f64 eps) x (neg.f64 x))) (fma.f64 (*.f64 1/3 (fma.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) -1/3) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (*.f64 (sin.f64 eps) -1/2))) (*.f64 (*.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)))) (cbrt.f64 (sin.f64 eps))))
(+.f64 (*.f64 1/3 (*.f64 (*.f64 (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)))) (pow.f64 x 2)) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/3))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/3) (*.f64 (-.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/3) (pow.f64 (-.f64 (cos.f64 eps) 1) 3))) (*.f64 2/3 (*.f64 (*.f64 (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)))) (-.f64 (cos.f64 eps) 1)) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/9))))) (pow.f64 x 3)))) (+.f64 (pow.f64 (sin.f64 eps) 1/3) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/9) (*.f64 (-.f64 (cos.f64 eps) 1) x))))))
(fma.f64 1/3 (*.f64 (-.f64 (*.f64 (sin.f64 eps) -1/2) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))) (*.f64 (*.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2))))) (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2))) (*.f64 (-.f64 (fma.f64 -1/6 (cos.f64 eps) 1/6) (fma.f64 1/27 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2))) (pow.f64 (+.f64 (cos.f64 eps) -1) 3)) (*.f64 2/3 (*.f64 (-.f64 (*.f64 (sin.f64 eps) -1/2) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))) (*.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18))))))) (pow.f64 x 3))) (+.f64 (cbrt.f64 (sin.f64 eps)) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18)) (*.f64 (+.f64 (cos.f64 eps) -1) x))))))
(fma.f64 1/3 (*.f64 (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) -1/3)) (*.f64 (*.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2))))) (fma.f64 1/3 (*.f64 (-.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (fma.f64 2/3 (*.f64 (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) -1/3)) (*.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18)))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2))) (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) 1/27)))) (*.f64 (pow.f64 x 3) (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2))))) (fma.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18) (*.f64 (+.f64 (cos.f64 eps) -1) x))) (cbrt.f64 (sin.f64 eps)))))
(fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2))) (+.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) -1/3) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (*.f64 (sin.f64 eps) -1/2)) (*.f64 x x)) (*.f64 (-.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (fma.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) -1/3) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (*.f64 (sin.f64 eps) -1/2)) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18) (*.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18)))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2))) (*.f64 1/27 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))))) (pow.f64 x 3)))) (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18)) (fma.f64 (cos.f64 eps) x (neg.f64 x))) (cbrt.f64 (sin.f64 eps))))
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 1/3)
(cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 1/3)
(cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 1/3)
(cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 1/3)
(cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(pow.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)) 1/3)
(cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(pow.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)) 1/3)
(cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(pow.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)) 1/3)
(cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(pow.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)) 1/3)
(cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 1/3)
(cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 1/3)
(cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 1/3)
(cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 1/3)
(cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(pow.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)) 1/3)
(cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(pow.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)) 1/3)
(cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(pow.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)) 1/3)
(cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(pow.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)) 1/3)
(cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))

localize48.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓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))
✓2.1b
(-.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)

series9.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
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
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
@0
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))

rewrite313.0ms (1.9%)

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)))))) 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(#(struct:change #<rule egg-rr> (2) ((x fma.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))) (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 eps x))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 eps x))) (sqrt.f64 (sin.f64 x))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (sqrt.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 fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)) (sin.f64 (+.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))
((#(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))))))

simplify160.0ms (1%)

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)))))
(+.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 (*.f64 eps eps) (sin.f64 x))))))
(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)))))
(-.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 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (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 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (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 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (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 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (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 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (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 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (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 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (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 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(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 (fma.f64 x (cos.f64 eps) (sin.f64 eps)) x)
(fma.f64 x (cos.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) (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 (*.f64 x x) (*.f64 -1/2 (sin.f64 eps)) (sin.f64 eps)))
(-.f64 (fma.f64 x (cos.f64 eps) (fma.f64 (sin.f64 eps) (*.f64 x (*.f64 x -1/2)) (sin.f64 eps))) x)
(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 x (+.f64 (cos.f64 eps) -1) (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 (fma.f64 -1/6 (cos.f64 eps) 1/6) (pow.f64 x 3) (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)) (fma.f64 (fma.f64 -1/6 (cos.f64 eps) 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 -1/6 (cos.f64 eps) 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 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (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 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (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 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (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 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (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 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (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 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (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 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (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 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(*.f64 (cos.f64 eps) x)
(*.f64 x (cos.f64 eps))
(+.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 x (cos.f64 eps) (*.f64 -1/6 (*.f64 (cos.f64 eps) (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 x (cos.f64 eps) (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 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3)) (*.f64 (cos.f64 eps) (+.f64 x (*.f64 1/120 (pow.f64 x 5)))))
(*.f64 (cos.f64 eps) (+.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (*.f64 1/120 (pow.f64 x 5))))
(*.f64 (cos.f64 eps) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (+.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 x (cos.f64 eps) (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 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) (+.f64 (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 -1/6 (pow.f64 x 3))) (+.f64 x (*.f64 -1/5040 (pow.f64 x 7)))))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (cos.f64 eps))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (cos.f64 eps))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (cos.f64 eps))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (cos.f64 eps))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (cos.f64 eps))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (cos.f64 eps))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (cos.f64 eps))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (cos.f64 eps))
(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 (*.f64 eps eps) (sin.f64 x))))
(fma.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))) (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 (*.f64 eps eps) (sin.f64 x)))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))) (sin.f64 x)))
(*.f64 (sin.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (fma.f64 1/24 (pow.f64 eps 4) 1)))
(*.f64 (sin.f64 x) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (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 (*.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 (*.f64 eps eps) (sin.f64 x))))))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 -1/720 (pow.f64 eps 6)))) (fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (sin.f64 x)))
(fma.f64 (sin.f64 x) (fma.f64 -1/720 (pow.f64 eps 6) (*.f64 -1/2 (*.f64 eps eps))) (*.f64 (sin.f64 x) (fma.f64 1/24 (pow.f64 eps 4) 1)))
(*.f64 (sin.f64 x) (+.f64 (fma.f64 -1/720 (pow.f64 eps 6) (*.f64 -1/2 (*.f64 eps eps))) (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 -1/720 (pow.f64 eps 6) (*.f64 -1/2 (*.f64 eps eps)))))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (cos.f64 eps))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (cos.f64 eps))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (cos.f64 eps))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (cos.f64 eps))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (cos.f64 eps))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (cos.f64 eps))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (cos.f64 eps))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (cos.f64 eps))
(sin.f64 x)
(+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x))
(fma.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 (fma.f64 (cos.f64 x) eps (sin.f64 x)) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))))
(fma.f64 (cos.f64 x) eps (fma.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))) (sin.f64 x)))
(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)))

eval513.0ms (3.1%)

Compiler

Compiled 19024 to 7052 computations (62.9% saved)

prune488.0ms (2.9%)

Pruning

54 alts after pruning (50 fresh and 4 done)

PrunedKeptTotal
New90741948
Fresh21930
Picked101
Done145
Total93054984
Error
0.1b
Counts
984 → 54
Alt Table
Click to see full alt table
StatusErrorProgram
▶46.5b
(fma.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps) (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))
31.7b
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) eps)))
32.2b
(fma.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps) (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))
27.1b
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
▶45.8b
(+.f64 eps (*.f64 (*.f64 (*.f64 x -1/2) (+.f64 eps x)) eps))
43.6b
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
38.8b
(fma.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))
26.1b
(sin.f64 eps)
▶0.2b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
31.8b
(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)))
36.8b
(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)))
38.0b
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
0.2b
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
▶53.2b
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2))
21.8b
(fma.f64 (*.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (cos.f64 eps) 2))) (cbrt.f64 (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
45.4b
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
31.9b
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
35.9b
(-.f64 (fma.f64 (cos.f64 eps) x (sin.f64 eps)) x)
60.8b
(+.f64 (-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
61.2b
(-.f64 (sin.f64 x) (sin.f64 x))
44.1b
eps
▶36.2b
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
36.4b
(-.f64 (fma.f64 (cos.f64 eps) x (*.f64 (sin.f64 eps) (fma.f64 -1/2 (*.f64 x x) 1))) x)
21.8b
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
60.5b
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
36.6b
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))) 3)
✓35.3b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
43.4b
(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)))
✓35.9b
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
22.6b
(pow.f64 (cbrt.f64 (-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))) 3)
61.4b
(*.f64 eps (*.f64 -1/2 (*.f64 eps (sin.f64 x))))
22.5b
(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) 3)) (sin.f64 x))
36.0b
(-.f64 (sin.f64 eps) (sin.f64 x))
36.3b
(*.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))))
61.5b
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
49.3b
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
43.6b
(-.f64 (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps))))) (sin.f64 x))
21.9b
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (cos.f64 eps))))) (sin.f64 x))
27.9b
(pow.f64 (cbrt.f64 (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))) 3)
✓21.8b
(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
35.9b
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)) 3)
31.5b
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
49.3b
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
35.4b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
31.9b
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (*.f64 eps (sin.f64 x))))))))
35.8b
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
14.4b
(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)))
34.0b
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x)) (sin.f64 x))
26.9b
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
✓31.2b
(*.f64 (cos.f64 x) eps)
22.8b
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (log.f64 (exp.f64 (*.f64 (sin.f64 x) (cos.f64 eps))))) (sin.f64 x))
36.4b
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
28.5b
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
31.5b
(fma.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 eps (*.f64 -1/2 (*.f64 eps (sin.f64 x)))))
Compiler

Compiled 1457 to 998 computations (31.5% saved)

localize24.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
✓0.2b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
✓1.8b
(+.f64 (cos.f64 eps) -1)
Compiler

Compiled 36 to 16 computations (55.6% saved)

series12.0ms (0.1%)

Counts
3 → 60
Calls

15 calls:

TimeVariablePointExpression
5.0ms
x
@inf
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
1.0ms
eps
@inf
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
1.0ms
eps
@-inf
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
1.0ms
eps
@0
(+.f64 (cos.f64 eps) -1)
1.0ms
x
@0
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))

rewrite97.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
512×log-prod_binary64
405×exp-prod_binary64
324×pow-prod-down_binary64
323×prod-diff_binary64
298×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01136
122136
2272536
Stop Event
1×node limit
Counts
3 → 118
Calls
Call 1
Inputs
(+.f64 (cos.f64 eps) -1)
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (/.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 1 (+.f64 (cos.f64 eps) -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 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (-.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) 1) (*.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (sin.f64 eps) 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((#(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 (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 (sin.f64 eps) (cos.f64 x)) 1) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.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 (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 (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 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(sin.f64 eps)) (+.f64 1 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.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))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.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 exp.f64 (*.f64 (log.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 exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 -1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 (sin.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) -1) (*.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) (sin.f64 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) (sin.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (sin.f64 x)) (-.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) 1) (*.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (sin.f64 x)) (+.f64 (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (-.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) 1) (*.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 eps) 2))) (+.f64 (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 2)) (cbrt.f64 (log.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))) (sqrt.f64 (log.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 -1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (sin.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 x) -1 (*.f64 (sin.f64 x) (cos.f64 eps)))))))

simplify112.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
579×fma-neg_binary64
487×*-commutative_binary64
486×fma-def_binary64
453×associate-+l+_binary64
384×unswap-sqr_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0821018
1227995
2649949
32331936
45452936
57514936
Stop Event
1×node limit
Counts
178 → 162
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)))))
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.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)))
(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 -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 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(+.f64 (*.f64 -1/6 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (*.f64 (-.f64 (cos.f64 eps) 1) x))
(+.f64 (*.f64 -1/6 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (*.f64 1/120 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 5)))))
(+.f64 (*.f64 -1/5040 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 7))) (+.f64 (*.f64 -1/6 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (*.f64 1/120 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 5))))))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.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)))))
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.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 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)) (*.f64 eps (cos.f64 x)))
(fma.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))) (*.f64 eps (cos.f64 x)))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 -1/2 eps))))
(+.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 -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 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
(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 (*.f64 eps eps) (*.f64 -1/2 (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 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))))
(+.f64 (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))) (*.f64 (sin.f64 x) (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4)))))
(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)))
(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)))
(+.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 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.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 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.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 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.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 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.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 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.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 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.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 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.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 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(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 -1/2 (*.f64 x (*.f64 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) (+.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 x (*.f64 x (sin.f64 eps))) (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 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) (*.f64 (+.f64 (*.f64 x (*.f64 -1/2 x)) 1) (sin.f64 eps)))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) (*.f64 (sin.f64 eps) (+.f64 1 (*.f64 -1/2 (*.f64 x 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 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.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 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.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 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.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 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.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 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.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 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.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 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.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 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) (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))))
(fma.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x)) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
(*.f64 (sin.f64 x) (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4))))
(*.f64 (fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/2 (*.f64 eps eps))) (sin.f64 x))
(*.f64 (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4))) (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 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x)) (fma.f64 -1/720 (*.f64 (pow.f64 eps 6) (sin.f64 x)) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x))))
(fma.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x)) (*.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) (fma.f64 -1/720 (pow.f64 eps 6) (*.f64 -1/2 (*.f64 eps eps)))))
(*.f64 (fma.f64 -1/2 (*.f64 eps eps) (fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/720 (pow.f64 eps 6)))) (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))))))
(fma.f64 1/40320 (*.f64 (pow.f64 eps 8) (sin.f64 x)) (fma.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x)) (fma.f64 -1/720 (*.f64 (pow.f64 eps 6) (sin.f64 x)) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))))
(+.f64 (*.f64 (sin.f64 x) (fma.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) (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))))))
(*.f64 (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))))) (sin.f64 x))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 (+.f64 (cos.f64 eps) -1) x)
(-.f64 (*.f64 (cos.f64 eps) x) x)
(+.f64 (*.f64 -1/6 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (*.f64 (-.f64 (cos.f64 eps) 1) x))
(fma.f64 -1/6 (*.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 x 3)) (*.f64 (+.f64 (cos.f64 eps) -1) x))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (*.f64 -1/6 (*.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 x 3))))
(*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 (*.f64 -1/6 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (*.f64 1/120 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 5)))))
(fma.f64 -1/6 (*.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 x 3)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (*.f64 1/120 (*.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 x 5)))))
(fma.f64 -1/6 (*.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 x 3)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (*.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (pow.f64 x 5) 1/120))))
(fma.f64 (pow.f64 x 5) (fma.f64 (cos.f64 eps) 1/120 -1/120) (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))
(*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/120 (pow.f64 x 5)))))
(+.f64 (*.f64 -1/5040 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 7))) (+.f64 (*.f64 -1/6 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (*.f64 1/120 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 5))))))
(fma.f64 -1/5040 (*.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 x 7)) (fma.f64 -1/6 (*.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 x 3)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (*.f64 1/120 (*.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 x 5))))))
(fma.f64 -1/5040 (*.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 x 7)) (fma.f64 -1/6 (*.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 x 3)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (*.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (pow.f64 x 5) 1/120)))))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 -1/5040 (pow.f64 x 7)))))
(*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (+.f64 (*.f64 -1/5040 (pow.f64 x 7)) (*.f64 1/120 (pow.f64 x 5)))))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))

localize27.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (*.f64 x -1/2) (+.f64 eps x))
✓0.0b
(+.f64 eps (*.f64 (*.f64 (*.f64 x -1/2) (+.f64 eps x)) eps))
✓3.9b
(*.f64 (*.f64 (*.f64 x -1/2) (+.f64 eps x)) eps)
Compiler

Compiled 38 to 18 computations (52.6% saved)

series650.0ms (3.9%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
633.0ms
x
@inf
(*.f64 (*.f64 x -1/2) (+.f64 eps x))
2.0ms
x
@-inf
(*.f64 (*.f64 x -1/2) (+.f64 eps x))
1.0ms
x
@inf
(*.f64 (*.f64 (*.f64 x -1/2) (+.f64 eps x)) eps)
1.0ms
eps
@inf
(*.f64 (*.f64 (*.f64 x -1/2) (+.f64 eps x)) eps)
1.0ms
x
@-inf
(*.f64 (*.f64 (*.f64 x -1/2) (+.f64 eps x)) eps)

rewrite116.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
604×fma-def_binary64
598×log-prod_binary64
456×pow-prod-down_binary64
290×pow2_binary64
263×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0939
121137
2325837
Stop Event
1×node limit
Counts
3 → 157
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 x -1/2) (+.f64 eps x)) eps)
(+.f64 eps (*.f64 (*.f64 (*.f64 x -1/2) (+.f64 eps x)) eps))
(*.f64 (*.f64 x -1/2) (+.f64 eps x))
Outputs
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(pow.f64 (*.f64 x (*.f64 x -1/2)) 3)) (+.f64 (pow.f64 (*.f64 (*.f64 x -1/2) eps) 2) (-.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (*.f64 (*.f64 (*.f64 x -1/2) eps) (*.f64 x (*.f64 x -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x -1/2) eps) 2) (pow.f64 (*.f64 x (*.f64 x -1/2)) 2)) (-.f64 (*.f64 (*.f64 x -1/2) eps) (*.f64 x (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 eps 3) (pow.f64 x 3)) (*.f64 x -1/2)) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 eps eps) (*.f64 x x)) (*.f64 x -1/2)) (-.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x -1/2) (+.f64 (pow.f64 eps 3) (pow.f64 x 3))) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x -1/2) (-.f64 (*.f64 eps eps) (*.f64 x x))) (-.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/2 (*.f64 x (+.f64 x eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/2 (*.f64 x (+.f64 x eps))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/2 (*.f64 x (+.f64 x eps))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 x (+.f64 x eps)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -1/2 (*.f64 x (+.f64 x eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 -1/2 (*.f64 x (+.f64 x eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 x eps)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (*.f64 x (+.f64 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 x (*.f64 x -1/2))) (exp.f64 (*.f64 (*.f64 x -1/2) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/2 (*.f64 x (+.f64 x eps))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/2 (*.f64 x (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/2 (*.f64 x (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/2 (*.f64 x (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/2 (*.f64 x (+.f64 x eps)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x -1/2) (*.f64 (*.f64 x -1/2) eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 -1/2 eps) (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (*.f64 x x) (*.f64 (*.f64 x -1/2) eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (*.f64 x eps) (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x -1/2) x (*.f64 (*.f64 x -1/2) eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x -1/2) eps (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps (*.f64 x -1/2) (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 -1/2 (*.f64 x (+.f64 x eps)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (*.f64 x -1/2) eps) (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (*.f64 x -1/2)) (*.f64 (*.f64 x -1/2) eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) -1/2 (*.f64 (*.f64 x -1/2) eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (*.f64 x -1/2)) (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x -1/2)) (*.f64 (*.f64 x -1/2) eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 x -1/2) 2)) (*.f64 (cbrt.f64 (*.f64 x -1/2)) x) (*.f64 (*.f64 x -1/2) eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 x -1/2) 2)) (*.f64 (cbrt.f64 (*.f64 x -1/2)) eps) (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (*.f64 x -1/2)) (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x -1/2)) (*.f64 (*.f64 x -1/2) eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x -1/2)) (*.f64 (sqrt.f64 (*.f64 x -1/2)) x) (*.f64 (*.f64 x -1/2) eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x -1/2)) (*.f64 (sqrt.f64 (*.f64 x -1/2)) eps) (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x eps) -1/2 (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x -1/2) eps) 1 (*.f64 (*.f64 x (*.f64 x -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x (+.f64 x eps)) 1)) 2) (cbrt.f64 (fma.f64 -1/2 (*.f64 x (+.f64 x eps)) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x -1/2) eps)) 2) (cbrt.f64 (*.f64 (*.f64 x -1/2) eps)) (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) 2) (cbrt.f64 (*.f64 x (*.f64 x -1/2))) (*.f64 (*.f64 x -1/2) eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 -1/2 (*.f64 x (+.f64 x eps)) 1)) (sqrt.f64 (fma.f64 -1/2 (*.f64 x (+.f64 x eps)) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (*.f64 x -1/2) eps)) (sqrt.f64 (*.f64 (*.f64 x -1/2) eps)) (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (*.f64 x -1/2))) (sqrt.f64 (*.f64 x (*.f64 x -1/2))) (*.f64 (*.f64 x -1/2) eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 eps -1/2) x (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x -1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (*.f64 x -1/2) eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x -1/2) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (*.f64 x -1/2) eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x -1/2) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps) (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x -1/2) (sqrt.f64 eps)) (sqrt.f64 eps) (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 eps (cbrt.f64 (pow.f64 (*.f64 x -1/2) 2))) (cbrt.f64 (*.f64 x -1/2)) (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 eps (sqrt.f64 (*.f64 x -1/2))) (sqrt.f64 (*.f64 x -1/2)) (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (pow.f64 (*.f64 x -1/2) 2))) (cbrt.f64 (*.f64 x -1/2)) (*.f64 (*.f64 x -1/2) eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (*.f64 x -1/2))) (sqrt.f64 (*.f64 x -1/2)) (*.f64 (*.f64 x -1/2) eps))))))

simplify149.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
733×fma-neg_binary64
513×associate-*l*_binary64
441×distribute-rgt-out--_binary64
380×unsub-neg_binary64
376×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0321126
190985
2200815
3610815
42613815
56620815
Stop Event
1×node limit
Counts
229 → 179
Calls
Call 1
Inputs
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(+.f64 (*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)))
(+.f64 (*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)))
(+.f64 (*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (*.f64 -1 (*.f64 eps (-.f64 (*.f64 1/2 (pow.f64 x 2)) 1))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (*.f64 -1 (*.f64 eps (-.f64 (*.f64 1/2 (pow.f64 x 2)) 1))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (*.f64 -1 (*.f64 eps (-.f64 (*.f64 1/2 (pow.f64 x 2)) 1))))
eps
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) eps)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))))
(*.f64 -1/2 (*.f64 eps x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 eps x)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 eps x)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 eps x)))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (*.f64 -1/2 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 eps x)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 eps x)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 eps x)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 eps x)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 eps x)))
Outputs
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) x))
(*.f64 x (*.f64 -1/2 (*.f64 eps eps)))
(*.f64 (*.f64 eps x) (*.f64 -1/2 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(*.f64 -1/2 (+.f64 (*.f64 (*.f64 eps eps) x) (*.f64 eps (*.f64 x x))))
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(*.f64 -1/2 (*.f64 (*.f64 eps x) (+.f64 eps x)))
(*.f64 -1/2 (*.f64 x (*.f64 eps (+.f64 eps x))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))))
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) x) (*.f64 eps (+.f64 1 (*.f64 -1/2 (*.f64 x x)))))
(+.f64 eps (*.f64 -1/2 (fma.f64 (*.f64 eps eps) x (*.f64 eps (*.f64 x x)))))
(fma.f64 -1/2 (*.f64 (*.f64 eps x) (+.f64 eps x)) eps)
(fma.f64 -1/2 (*.f64 x (*.f64 eps (+.f64 eps x))) eps)
(fma.f64 (*.f64 -1/2 x) (*.f64 eps (+.f64 eps x)) eps)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))))
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) x) (*.f64 eps (+.f64 1 (*.f64 -1/2 (*.f64 x x)))))
(+.f64 eps (*.f64 -1/2 (fma.f64 (*.f64 eps eps) x (*.f64 eps (*.f64 x x)))))
(fma.f64 -1/2 (*.f64 (*.f64 eps x) (+.f64 eps x)) eps)
(fma.f64 -1/2 (*.f64 x (*.f64 eps (+.f64 eps x))) eps)
(fma.f64 (*.f64 -1/2 x) (*.f64 eps (+.f64 eps x)) eps)
(*.f64 -1/2 (*.f64 eps x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 eps x)))
(*.f64 -1/2 (+.f64 (*.f64 eps x) (*.f64 x x)))
(*.f64 -1/2 (*.f64 x (+.f64 x eps)))
(*.f64 -1/2 (*.f64 x (+.f64 eps x)))
(*.f64 x (*.f64 -1/2 (+.f64 eps x)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 eps x)))
(*.f64 -1/2 (+.f64 (*.f64 eps x) (*.f64 x x)))
(*.f64 -1/2 (*.f64 x (+.f64 x eps)))
(*.f64 -1/2 (*.f64 x (+.f64 eps x)))
(*.f64 x (*.f64 -1/2 (+.f64 eps x)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 eps x)))
(*.f64 -1/2 (+.f64 (*.f64 eps x) (*.f64 x x)))
(*.f64 -1/2 (*.f64 x (+.f64 x eps)))
(*.f64 -1/2 (*.f64 x (+.f64 eps x)))
(*.f64 x (*.f64 -1/2 (+.f64 eps x)))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 (*.f64 -1/2 x) x)
(*.f64 x (*.f64 -1/2 x))
(+.f64 (*.f64 -1/2 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 -1/2 (+.f64 (*.f64 eps x) (*.f64 x x)))
(*.f64 -1/2 (*.f64 x (+.f64 x eps)))
(*.f64 -1/2 (*.f64 x (+.f64 eps x)))
(*.f64 x (*.f64 -1/2 (+.f64 eps x)))
(+.f64 (*.f64 -1/2 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 -1/2 (+.f64 (*.f64 eps x) (*.f64 x x)))
(*.f64 -1/2 (*.f64 x (+.f64 x eps)))
(*.f64 -1/2 (*.f64 x (+.f64 eps x)))
(*.f64 x (*.f64 -1/2 (+.f64 eps x)))
(+.f64 (*.f64 -1/2 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 -1/2 (+.f64 (*.f64 eps x) (*.f64 x x)))
(*.f64 -1/2 (*.f64 x (+.f64 x eps)))
(*.f64 -1/2 (*.f64 x (+.f64 eps x)))
(*.f64 x (*.f64 -1/2 (+.f64 eps x)))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 (*.f64 -1/2 x) x)
(*.f64 x (*.f64 -1/2 x))
(+.f64 (*.f64 -1/2 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 -1/2 (+.f64 (*.f64 eps x) (*.f64 x x)))
(*.f64 -1/2 (*.f64 x (+.f64 x eps)))
(*.f64 -1/2 (*.f64 x (+.f64 eps x)))
(*.f64 x (*.f64 -1/2 (+.f64 eps x)))
(+.f64 (*.f64 -1/2 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 -1/2 (+.f64 (*.f64 eps x) (*.f64 x x)))
(*.f64 -1/2 (*.f64 x (+.f64 x eps)))
(*.f64 -1/2 (*.f64 x (+.f64 eps x)))
(*.f64 x (*.f64 -1/2 (+.f64 eps x)))
(+.f64 (*.f64 -1/2 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 -1/2 (+.f64 (*.f64 eps x) (*.f64 x x)))
(*.f64 -1/2 (*.f64 x (+.f64 x eps)))
(*.f64 -1/2 (*.f64 x (+.f64 eps x)))
(*.f64 x (*.f64 -1/2 (+.f64 eps x)))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 (*.f64 -1/2 x) x)
(*.f64 x (*.f64 -1/2 x))
(+.f64 (*.f64 -1/2 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 -1/2 (+.f64 (*.f64 eps x) (*.f64 x x)))
(*.f64 -1/2 (*.f64 x (+.f64 x eps)))
(*.f64 -1/2 (*.f64 x (+.f64 eps x)))
(*.f64 x (*.f64 -1/2 (+.f64 eps x)))
(+.f64 (*.f64 -1/2 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 -1/2 (+.f64 (*.f64 eps x) (*.f64 x x)))
(*.f64 -1/2 (*.f64 x (+.f64 x eps)))
(*.f64 -1/2 (*.f64 x (+.f64 eps x)))
(*.f64 x (*.f64 -1/2 (+.f64 eps x)))
(+.f64 (*.f64 -1/2 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 -1/2 (+.f64 (*.f64 eps x) (*.f64 x x)))
(*.f64 -1/2 (*.f64 x (+.f64 x eps)))
(*.f64 -1/2 (*.f64 x (+.f64 eps x)))
(*.f64 x (*.f64 -1/2 (+.f64 eps x)))
(*.f64 -1/2 (*.f64 eps x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 eps x)))
(*.f64 -1/2 (+.f64 (*.f64 eps x) (*.f64 x x)))
(*.f64 -1/2 (*.f64 x (+.f64 x eps)))
(*.f64 -1/2 (*.f64 x (+.f64 eps x)))
(*.f64 x (*.f64 -1/2 (+.f64 eps x)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 eps x)))
(*.f64 -1/2 (+.f64 (*.f64 eps x) (*.f64 x x)))
(*.f64 -1/2 (*.f64 x (+.f64 x eps)))
(*.f64 -1/2 (*.f64 x (+.f64 eps x)))
(*.f64 x (*.f64 -1/2 (+.f64 eps x)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 eps x)))
(*.f64 -1/2 (+.f64 (*.f64 eps x) (*.f64 x x)))
(*.f64 -1/2 (*.f64 x (+.f64 x eps)))
(*.f64 -1/2 (*.f64 x (+.f64 eps x)))
(*.f64 x (*.f64 -1/2 (+.f64 eps x)))
(*.f64 -1/2 (*.f64 eps x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 eps x)))
(*.f64 -1/2 (+.f64 (*.f64 eps x) (*.f64 x x)))
(*.f64 -1/2 (*.f64 x (+.f64 x eps)))
(*.f64 -1/2 (*.f64 x (+.f64 eps x)))
(*.f64 x (*.f64 -1/2 (+.f64 eps x)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 eps x)))
(*.f64 -1/2 (+.f64 (*.f64 eps x) (*.f64 x x)))
(*.f64 -1/2 (*.f64 x (+.f64 x eps)))
(*.f64 -1/2 (*.f64 x (+.f64 eps x)))
(*.f64 x (*.f64 -1/2 (+.f64 eps x)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/2 (*.f64 eps x)))
(*.f64 -1/2 (+.f64 (*.f64 eps x) (*.f64 x x)))
(*.f64 -1/2 (*.f64 x (+.f64 x eps)))
(*.f64 -1/2 (*.f64 x (+.f64 eps x)))
(*.f64 x (*.f64 -1/2 (+.f64 eps x)))

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (cos.f64 x) eps)
✓0.1b
(pow.f64 (*.f64 (cos.f64 x) eps) 2)
✓32.4b
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2))
Compiler

Compiled 24 to 10 computations (58.3% saved)

series6.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite84.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
620×pow1_binary64
572×add-log-exp_binary64
572×log1p-expm1-u_binary64
572×expm1-log1p-u_binary64
556×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0815
116415
2164815
Stop Event
1×node limit
Counts
2 → 53
Calls
Call 1
Inputs
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2))
(pow.f64 (*.f64 (cos.f64 x) eps) 2)
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 1 (*.f64 (cos.f64 x) eps))))) (#(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 (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 (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 (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 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 (cos.f64 x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 4)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cos.f64 x) 2) 1/2) (pow.f64 (*.f64 eps eps) 1/2))))) (#(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 pow.f64 (*.f64 (cos.f64 x) eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2) 1/2)))) (#(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 fabs.f64 (*.f64 (cos.f64 x) eps))))) (#(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 (pow.f64 (*.f64 (cos.f64 x) eps) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 x) (*.f64 eps (*.f64 (cos.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (*.f64 (cos.f64 x) (*.f64 (cos.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 x) eps) (*.f64 (cos.f64 x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 (cos.f64 x) eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 x) 2) (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps eps) (pow.f64 (cos.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2) (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) (*.f64 (cos.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 4)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) (*.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) (*.f64 (cos.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (cos.f64 x) eps) (sqrt.f64 (*.f64 (cos.f64 x) eps))) (sqrt.f64 (*.f64 (cos.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (cos.f64 x) eps) (cos.f64 x)) eps)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (cos.f64 x) eps) eps) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (cos.f64 x) eps) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2)) (cbrt.f64 (*.f64 (cos.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 (cos.f64 x) eps))))))))

simplify79.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
876×fma-neg_binary64
796×unswap-sqr_binary64
365×*-commutative_binary64
340×distribute-rgt-out_binary64
327×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
051534
1130527
2371511
31640506
44292499
Stop Event
1×node limit
Counts
101 → 73
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 (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 -1 (*.f64 eps (cos.f64 x)))
(*.f64 -1 (*.f64 eps (cos.f64 x)))
(*.f64 -1 (*.f64 eps (cos.f64 x)))
(*.f64 -1 (*.f64 eps (cos.f64 x)))
(pow.f64 eps 2)
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (pow.f64 eps 2))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (*.f64 (+.f64 (*.f64 1/4 (pow.f64 eps 2)) (*.f64 1/12 (pow.f64 eps 2))) (pow.f64 x 4)) (pow.f64 eps 2)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (*.f64 (+.f64 (*.f64 1/4 (pow.f64 eps 2)) (*.f64 1/12 (pow.f64 eps 2))) (pow.f64 x 4)) (+.f64 (pow.f64 eps 2) (*.f64 (+.f64 (*.f64 -1/24 (pow.f64 eps 2)) (*.f64 -1/360 (pow.f64 eps 2))) (pow.f64 x 6)))))
(*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2))
(*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2))
(*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2))
(*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2))
(*.f64 (pow.f64 eps 2) (pow.f64 (cos.f64 x) 2))
(*.f64 (pow.f64 eps 2) (pow.f64 (cos.f64 x) 2))
(*.f64 (pow.f64 eps 2) (pow.f64 (cos.f64 x) 2))
(*.f64 (pow.f64 eps 2) (pow.f64 (cos.f64 x) 2))
(*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2))
(*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2))
(*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2))
(*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2))
(*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2))
(*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2))
(*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2))
(*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2))
(*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2))
(*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2))
(*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2))
(*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2))
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)
(fma.f64 eps (*.f64 -1/2 (*.f64 x x)) eps)
(fma.f64 (*.f64 -1/2 (*.f64 eps x)) 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 eps (pow.f64 x 4)) (*.f64 -1/2 (*.f64 eps (*.f64 x x)))))
(+.f64 (fma.f64 -1/2 (*.f64 eps (*.f64 x x)) eps) (*.f64 (pow.f64 x 4) (*.f64 eps 1/24)))
(fma.f64 eps (*.f64 1/24 (pow.f64 x 4)) (fma.f64 eps (*.f64 -1/2 (*.f64 x x)) eps))
(fma.f64 (pow.f64 x 4) (*.f64 eps 1/24) (fma.f64 (*.f64 -1/2 (*.f64 eps x)) x 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 (pow.f64 x 4) (*.f64 eps 1/24))) (fma.f64 (*.f64 eps -1/720) (pow.f64 x 6) eps))
(fma.f64 eps (*.f64 -1/720 (pow.f64 x 6)) (fma.f64 eps (*.f64 1/24 (pow.f64 x 4)) (fma.f64 eps (*.f64 -1/2 (*.f64 x x)) eps)))
(fma.f64 eps (*.f64 -1/720 (pow.f64 x 6)) (fma.f64 (pow.f64 x 4) (*.f64 eps 1/24) (fma.f64 (*.f64 -1/2 (*.f64 eps x)) x eps)))
(+.f64 eps (*.f64 eps (+.f64 (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/2 (*.f64 x x))) (*.f64 -1/720 (pow.f64 x 6)))))
(*.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 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 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 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 -1 (*.f64 eps (cos.f64 x)))
(neg.f64 (*.f64 eps (cos.f64 x)))
(*.f64 eps (neg.f64 (cos.f64 x)))
(*.f64 -1 (*.f64 eps (cos.f64 x)))
(neg.f64 (*.f64 eps (cos.f64 x)))
(*.f64 eps (neg.f64 (cos.f64 x)))
(*.f64 -1 (*.f64 eps (cos.f64 x)))
(neg.f64 (*.f64 eps (cos.f64 x)))
(*.f64 eps (neg.f64 (cos.f64 x)))
(*.f64 -1 (*.f64 eps (cos.f64 x)))
(neg.f64 (*.f64 eps (cos.f64 x)))
(*.f64 eps (neg.f64 (cos.f64 x)))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (pow.f64 eps 2))
(fma.f64 -1 (*.f64 (*.f64 x x) (*.f64 eps eps)) (*.f64 eps eps))
(-.f64 (*.f64 eps eps) (*.f64 x (*.f64 x (*.f64 eps eps))))
(*.f64 eps (-.f64 eps (*.f64 eps (*.f64 x x))))
(neg.f64 (*.f64 (*.f64 eps eps) (fma.f64 x x -1)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (*.f64 (+.f64 (*.f64 1/4 (pow.f64 eps 2)) (*.f64 1/12 (pow.f64 eps 2))) (pow.f64 x 4)) (pow.f64 eps 2)))
(fma.f64 -1 (*.f64 (*.f64 x x) (*.f64 eps eps)) (fma.f64 (*.f64 (*.f64 eps eps) 1/3) (pow.f64 x 4) (*.f64 eps eps)))
(-.f64 (fma.f64 (pow.f64 x 4) (*.f64 eps (*.f64 eps 1/3)) (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 eps eps))))
(fma.f64 eps eps (*.f64 (*.f64 eps eps) (+.f64 (*.f64 x (neg.f64 x)) (*.f64 (pow.f64 x 4) 1/3))))
(fma.f64 eps eps (*.f64 (*.f64 eps eps) (-.f64 (*.f64 (pow.f64 x 4) 1/3) (*.f64 x x))))
(*.f64 eps (-.f64 eps (*.f64 eps (fma.f64 x x (*.f64 (pow.f64 x 4) -1/3)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 2) (pow.f64 x 2))) (+.f64 (*.f64 (+.f64 (*.f64 1/4 (pow.f64 eps 2)) (*.f64 1/12 (pow.f64 eps 2))) (pow.f64 x 4)) (+.f64 (pow.f64 eps 2) (*.f64 (+.f64 (*.f64 -1/24 (pow.f64 eps 2)) (*.f64 -1/360 (pow.f64 eps 2))) (pow.f64 x 6)))))
(fma.f64 -1 (*.f64 (*.f64 x x) (*.f64 eps eps)) (+.f64 (fma.f64 (*.f64 (*.f64 eps eps) 1/3) (pow.f64 x 4) (*.f64 eps eps)) (*.f64 (pow.f64 x 6) (*.f64 (*.f64 eps eps) -2/45))))
(-.f64 (fma.f64 (pow.f64 x 4) (*.f64 eps (*.f64 eps 1/3)) (fma.f64 eps eps (*.f64 (pow.f64 x 6) (*.f64 (*.f64 eps eps) -2/45)))) (*.f64 x (*.f64 x (*.f64 eps eps))))
(+.f64 (*.f64 eps (-.f64 eps (*.f64 eps (*.f64 x x)))) (*.f64 (*.f64 eps eps) (+.f64 (*.f64 (pow.f64 x 6) -2/45) (*.f64 (pow.f64 x 4) 1/3))))
(+.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (-.f64 (+.f64 (*.f64 (pow.f64 x 6) -2/45) (*.f64 (pow.f64 x 4) 1/3)) (*.f64 x x))))
(fma.f64 eps eps (*.f64 (*.f64 eps eps) (-.f64 (*.f64 (pow.f64 x 4) 1/3) (fma.f64 x x (*.f64 (pow.f64 x 6) 2/45)))))
(*.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 (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 (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 (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 (pow.f64 eps 2) (pow.f64 (cos.f64 x) 2))
(*.f64 (*.f64 eps eps) (pow.f64 (cos.f64 x) 2))
(*.f64 eps (*.f64 eps (pow.f64 (cos.f64 x) 2)))
(*.f64 (pow.f64 eps 2) (pow.f64 (cos.f64 x) 2))
(*.f64 (*.f64 eps eps) (pow.f64 (cos.f64 x) 2))
(*.f64 eps (*.f64 eps (pow.f64 (cos.f64 x) 2)))
(*.f64 (pow.f64 eps 2) (pow.f64 (cos.f64 x) 2))
(*.f64 (*.f64 eps eps) (pow.f64 (cos.f64 x) 2))
(*.f64 eps (*.f64 eps (pow.f64 (cos.f64 x) 2)))
(*.f64 (pow.f64 eps 2) (pow.f64 (cos.f64 x) 2))
(*.f64 (*.f64 eps eps) (pow.f64 (cos.f64 x) 2))
(*.f64 eps (*.f64 eps (pow.f64 (cos.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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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)))

localize57.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.7b
(cbrt.f64 (sin.f64 (+.f64 x eps)))
✓0.8b
(pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3)
3.5b
(sin.f64 (+.f64 x eps))
✓18.7b
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
Compiler

Compiled 36 to 12 computations (66.7% saved)

series111.0ms (0.7%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
42.0ms
x
@inf
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
32.0ms
eps
@0
(pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3)
7.0ms
x
@0
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
7.0ms
eps
@0
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
4.0ms
eps
@inf
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))

rewrite200.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
480×log-prod_binary64
422×fma-def_binary64
329×pow-prod-down_binary64
284×pow2_binary64
218×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01025
123225
2300425
Stop Event
1×node limit
Counts
3 → 200
Calls
Call 1
Inputs
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
(pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3)
(cbrt.f64 (sin.f64 (+.f64 x eps)))
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)) (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (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 (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 (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 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 (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 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 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simplify331.0ms (2%)

Algorithm
1×egg-herbie
Rules
880×unsub-neg_binary64
701×associate-+l+_binary64
584×associate-+r+_binary64
372×fma-neg_binary64
332×+-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02455186
18584919
231614562
369814546
Stop Event
1×node limit
Counts
272 → 258
Calls
Call 1
Inputs
(*.f64 (pow.f64 1 1/3) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 2/3 (*.f64 (cos.f64 eps) (pow.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9))) (*.f64 1/3 (*.f64 (cos.f64 eps) (pow.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9)))) 1) x) (*.f64 (pow.f64 1 1/3) (sin.f64 eps)))
(+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (cos.f64 eps) 2)))))) (+.f64 (*.f64 (pow.f64 (*.f64 1 (sin.f64 eps)) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/3) (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (cos.f64 eps) 2)))))) (*.f64 1/9 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9))))) (*.f64 2/9 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9))))) (pow.f64 x 2)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 2/3 (*.f64 (cos.f64 eps) (pow.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9))) (*.f64 1/3 (*.f64 (cos.f64 eps) (pow.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9)))) 1) x) (*.f64 (pow.f64 1 1/3) (sin.f64 eps))))
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(-.f64 (*.f64 (pow.f64 1 1/3) (sin.f64 (+.f64 eps x))) (sin.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (sin.f64 (-.f64 eps (*.f64 -1 x)))) (sin.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (sin.f64 (-.f64 eps (*.f64 -1 x)))) (sin.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (sin.f64 (-.f64 eps (*.f64 -1 x)))) (sin.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (sin.f64 (-.f64 eps (*.f64 -1 x)))) (sin.f64 x))
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(-.f64 (*.f64 (pow.f64 1 1/3) (sin.f64 (-.f64 x (*.f64 -1 eps)))) (sin.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (sin.f64 (-.f64 x (*.f64 -1 eps)))) (sin.f64 x))
(*.f64 (pow.f64 1 1/3) (sin.f64 eps))
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(*.f64 (pow.f64 1 1/3) (sin.f64 (+.f64 eps x)))
(*.f64 (pow.f64 1 1/3) (sin.f64 (+.f64 eps x)))
(*.f64 (pow.f64 1 1/3) (sin.f64 (+.f64 eps x)))
(*.f64 (pow.f64 1 1/3) (sin.f64 (-.f64 eps (*.f64 -1 x))))
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(*.f64 (pow.f64 1 1/3) (sin.f64 (-.f64 eps (*.f64 -1 x))))
(*.f64 (pow.f64 1 1/3) (sin.f64 (-.f64 eps (*.f64 -1 x))))
(*.f64 (pow.f64 1 1/3) (sin.f64 x))
(+.f64 (*.f64 (pow.f64 1 1/3) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 2/3 (*.f64 (cos.f64 x) (pow.f64 (*.f64 1 (pow.f64 (sin.f64 x) 4)) 1/9))) (*.f64 1/3 (*.f64 (cos.f64 x) (pow.f64 (*.f64 1 (pow.f64 (sin.f64 x) 4)) 1/9))))))
(+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 (pow.f64 (*.f64 1 (sin.f64 x)) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/3) (-.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/9) (pow.f64 (cos.f64 x) 2)))))) (*.f64 1/9 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/9))))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (/.f64 1 (sin.f64 x)) 1/9))) (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/9) (pow.f64 (cos.f64 x) 2))))))))) (+.f64 (*.f64 (pow.f64 1 1/3) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 2/3 (*.f64 (cos.f64 x) (pow.f64 (*.f64 1 (pow.f64 (sin.f64 x) 4)) 1/9))) (*.f64 1/3 (*.f64 (cos.f64 x) (pow.f64 (*.f64 1 (pow.f64 (sin.f64 x) 4)) 1/9)))))))
(+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 (pow.f64 (*.f64 1 (sin.f64 x)) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/3) (-.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/9) (pow.f64 (cos.f64 x) 2)))))) (*.f64 1/9 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/9))))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (/.f64 1 (sin.f64 x)) 1/9))) (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/9) (pow.f64 (cos.f64 x) 2))))))))) (+.f64 (*.f64 (pow.f64 1 1/3) (sin.f64 x)) (+.f64 (*.f64 eps (+.f64 (*.f64 2/3 (*.f64 (cos.f64 x) (pow.f64 (*.f64 1 (pow.f64 (sin.f64 x) 4)) 1/9))) (*.f64 1/3 (*.f64 (cos.f64 x) (pow.f64 (*.f64 1 (pow.f64 (sin.f64 x) 4)) 1/9))))) (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 2/9 (*.f64 (*.f64 (cos.f64 x) (-.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/9) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 5)) 1/9))) (+.f64 (*.f64 1/3 (*.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/3) (-.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/9) (pow.f64 (cos.f64 x) 2)))))) (*.f64 1/9 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/9))))) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/9))) (+.f64 (*.f64 (pow.f64 (*.f64 1 (sin.f64 x)) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/3) (-.f64 (*.f64 -1/6 (cos.f64 x)) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/3))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 5)) 1/9) (*.f64 (cos.f64 x) (-.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/9) (pow.f64 (cos.f64 x) 2))))))))))) (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 8)) 1/9) (*.f64 (cos.f64 x) (-.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/9) (pow.f64 (cos.f64 x) 2))))))))) (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 -1/6 (cos.f64 x)) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/3))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 5)) 1/9) (*.f64 (cos.f64 x) (-.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/9) (pow.f64 (cos.f64 x) 2))))))))))))))))))
(*.f64 (pow.f64 1 1/3) (sin.f64 (+.f64 eps x)))
(*.f64 (pow.f64 1 1/3) (sin.f64 (+.f64 eps x)))
(*.f64 (pow.f64 1 1/3) (sin.f64 (+.f64 eps x)))
(*.f64 (pow.f64 1 1/3) (sin.f64 (+.f64 eps x)))
(*.f64 (pow.f64 1 1/3) (sin.f64 (-.f64 x (*.f64 -1 eps))))
(*.f64 (pow.f64 1 1/3) (sin.f64 (-.f64 x (*.f64 -1 eps))))
(*.f64 (pow.f64 1 1/3) (sin.f64 (-.f64 x (*.f64 -1 eps))))
(*.f64 (pow.f64 1 1/3) (sin.f64 (-.f64 x (*.f64 -1 eps))))
(pow.f64 (sin.f64 eps) 1/3)
(+.f64 (*.f64 1/3 (*.f64 (*.f64 (cos.f64 eps) x) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/9))) (pow.f64 (sin.f64 eps) 1/3))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/3) (*.f64 (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2)))) (+.f64 (*.f64 1/3 (*.f64 (*.f64 (cos.f64 eps) x) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/9))) (pow.f64 (sin.f64 eps) 1/3)))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/3) (*.f64 (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (cos.f64 eps) 2)))) (pow.f64 x 2)))) (+.f64 (*.f64 1/3 (*.f64 (*.f64 (cos.f64 eps) x) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/9))) (+.f64 (pow.f64 (sin.f64 eps) 1/3) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/3) (*.f64 (-.f64 (*.f64 -1/6 (cos.f64 eps)) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/3))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/9) (*.f64 (cos.f64 eps) (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (cos.f64 eps) 2))))))))) (pow.f64 x 3)))))))
(pow.f64 (sin.f64 (+.f64 eps x)) 1/3)
(pow.f64 (sin.f64 (+.f64 eps x)) 1/3)
(pow.f64 (sin.f64 (+.f64 eps x)) 1/3)
(pow.f64 (sin.f64 (+.f64 eps x)) 1/3)
(pow.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) 1/3)
(pow.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) 1/3)
(pow.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) 1/3)
(pow.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) 1/3)
(pow.f64 (sin.f64 x) 1/3)
(+.f64 (*.f64 1/3 (*.f64 (*.f64 (cos.f64 x) eps) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/9))) (pow.f64 (sin.f64 x) 1/3))
(+.f64 (*.f64 1/3 (*.f64 (*.f64 (cos.f64 x) eps) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/9))) (+.f64 (*.f64 1/3 (*.f64 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/9) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/3))) (pow.f64 (sin.f64 x) 1/3)))
(+.f64 (*.f64 1/3 (*.f64 (*.f64 (cos.f64 x) eps) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/9))) (+.f64 (*.f64 1/3 (*.f64 (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 -1/6 (cos.f64 x)) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/3))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 5)) 1/9) (*.f64 (cos.f64 x) (-.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/9) (pow.f64 (cos.f64 x) 2)))))))))) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/3))) (+.f64 (*.f64 1/3 (*.f64 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/9) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/3))) (pow.f64 (sin.f64 x) 1/3))))
(pow.f64 (sin.f64 (+.f64 eps x)) 1/3)
(pow.f64 (sin.f64 (+.f64 eps x)) 1/3)
(pow.f64 (sin.f64 (+.f64 eps x)) 1/3)
(pow.f64 (sin.f64 (+.f64 eps x)) 1/3)
(pow.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) 1/3)
(pow.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) 1/3)
(pow.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) 1/3)
(pow.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) 1/3)
Outputs
(*.f64 (pow.f64 1 1/3) (sin.f64 eps))
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 2/3 (*.f64 (cos.f64 eps) (pow.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9))) (*.f64 1/3 (*.f64 (cos.f64 eps) (pow.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9)))) 1) x) (*.f64 (pow.f64 1 1/3) (sin.f64 eps)))
(fma.f64 (+.f64 (*.f64 (*.f64 (cos.f64 eps) (*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18))) 1) -1) x (sin.f64 eps))
(fma.f64 (+.f64 (*.f64 (cos.f64 eps) (*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18))) -1) x (sin.f64 eps))
(fma.f64 (fma.f64 (cos.f64 eps) (*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18)) -1) x (sin.f64 eps))
(+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (cos.f64 eps) 2)))))) (+.f64 (*.f64 (pow.f64 (*.f64 1 (sin.f64 eps)) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/3) (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (cos.f64 eps) 2)))))) (*.f64 1/9 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9))))) (*.f64 2/9 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9))))) (pow.f64 x 2)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 2/3 (*.f64 (cos.f64 eps) (pow.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9))) (*.f64 1/3 (*.f64 (cos.f64 eps) (pow.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9)))) 1) x) (*.f64 (pow.f64 1 1/3) (sin.f64 eps))))
(fma.f64 (+.f64 (*.f64 1/3 (+.f64 (*.f64 (sin.f64 eps) -1/2) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (cos.f64 eps) 2))))) (fma.f64 (cbrt.f64 (sin.f64 eps)) (fma.f64 2/3 (*.f64 (+.f64 (*.f64 (sin.f64 eps) -1/2) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (cos.f64 eps) 2)))) (cbrt.f64 (/.f64 1 (sin.f64 eps)))) (*.f64 1/9 (*.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18))))) (*.f64 (*.f64 2/9 (pow.f64 (cos.f64 eps) 2)) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18))))) (*.f64 x x) (fma.f64 (+.f64 (*.f64 (*.f64 (cos.f64 eps) (*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18))) 1) -1) x (sin.f64 eps)))
(fma.f64 (fma.f64 1/3 (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (cos.f64 eps) 2))) -1/3)) (fma.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (cos.f64 eps) 2))) 2/9 (*.f64 (cbrt.f64 (sin.f64 eps)) (fma.f64 1/9 (*.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18))) (*.f64 (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (cos.f64 eps) 2))) -1/3)) (*.f64 2/3 (cbrt.f64 (/.f64 1 (sin.f64 eps))))))))) (*.f64 x x) (fma.f64 (+.f64 (*.f64 (cos.f64 eps) (*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18))) -1) x (sin.f64 eps)))
(fma.f64 (+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (*.f64 (pow.f64 (cos.f64 eps) 2) 2/9)) (+.f64 (*.f64 1/9 (*.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18))) (cbrt.f64 (sin.f64 eps)))) (*.f64 (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (cos.f64 eps) 2))) -1/3)) (+.f64 1/3 (*.f64 (cbrt.f64 (sin.f64 eps)) (*.f64 2/3 (cbrt.f64 (/.f64 1 (sin.f64 eps))))))))) (*.f64 x x) (fma.f64 (fma.f64 (cos.f64 eps) (*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18)) -1) x (sin.f64 eps)))
(+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 8)) 1/9) (*.f64 (cos.f64 eps) (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (cos.f64 eps) 2))))))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/3) (-.f64 (*.f64 -1/6 (cos.f64 eps)) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/3))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/9) (*.f64 (cos.f64 eps) (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (cos.f64 eps) 2)))))))))))) (pow.f64 (*.f64 1 (sin.f64 eps)) 1/3)) (+.f64 1/6 (+.f64 (*.f64 1/3 (*.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/3) (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (cos.f64 eps) 2)))))) (*.f64 1/9 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9))))) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/9))) (+.f64 (*.f64 2/9 (*.f64 (*.f64 (cos.f64 eps) (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/9))) (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 -1/6 (cos.f64 eps)) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/3))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/9) (*.f64 (cos.f64 eps) (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (cos.f64 eps) 2))))))))))))))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (cos.f64 eps) 2)))))) (+.f64 (*.f64 (pow.f64 (*.f64 1 (sin.f64 eps)) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/3) (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (cos.f64 eps) 2)))))) (*.f64 1/9 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9))))) (*.f64 2/9 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9))))) (pow.f64 x 2)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 2/3 (*.f64 (cos.f64 eps) (pow.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9))) (*.f64 1/3 (*.f64 (cos.f64 eps) (pow.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9)))) 1) x) (*.f64 (pow.f64 1 1/3) (sin.f64 eps)))))
(fma.f64 (fma.f64 (fma.f64 2/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 8)) 1/18)) (*.f64 (cos.f64 eps) (+.f64 (*.f64 (sin.f64 eps) -1/2) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (cos.f64 eps) 2)))))) (*.f64 2/3 (*.f64 (cbrt.f64 (/.f64 1 (sin.f64 eps))) (-.f64 (*.f64 (cos.f64 eps) -1/6) (fma.f64 1/27 (*.f64 (pow.f64 (cos.f64 eps) 3) (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)))) (*.f64 2/3 (*.f64 (cos.f64 eps) (*.f64 (+.f64 (*.f64 (sin.f64 eps) -1/2) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (cos.f64 eps) 2)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18)))))))))) (cbrt.f64 (sin.f64 eps)) (+.f64 1/6 (fma.f64 1/3 (*.f64 (cos.f64 eps) (*.f64 (fma.f64 2/3 (*.f64 (+.f64 (*.f64 (sin.f64 eps) -1/2) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (cos.f64 eps) 2)))) (cbrt.f64 (/.f64 1 (sin.f64 eps)))) (*.f64 1/9 (*.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18))))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18)))) (fma.f64 2/9 (*.f64 (cos.f64 eps) (*.f64 (+.f64 (*.f64 (sin.f64 eps) -1/2) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (cos.f64 eps) 2)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18)))) (*.f64 1/3 (-.f64 (*.f64 (cos.f64 eps) -1/6) (fma.f64 1/27 (*.f64 (pow.f64 (cos.f64 eps) 3) (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)))) (*.f64 2/3 (*.f64 (cos.f64 eps) (*.f64 (+.f64 (*.f64 (sin.f64 eps) -1/2) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (cos.f64 eps) 2)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18)))))))))))) (pow.f64 x 3) (fma.f64 (+.f64 (*.f64 1/3 (+.f64 (*.f64 (sin.f64 eps) -1/2) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (cos.f64 eps) 2))))) (fma.f64 (cbrt.f64 (sin.f64 eps)) (fma.f64 2/3 (*.f64 (+.f64 (*.f64 (sin.f64 eps) -1/2) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (cos.f64 eps) 2)))) (cbrt.f64 (/.f64 1 (sin.f64 eps)))) (*.f64 1/9 (*.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18))))) (*.f64 (*.f64 2/9 (pow.f64 (cos.f64 eps) 2)) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18))))) (*.f64 x x) (fma.f64 (+.f64 (*.f64 (*.f64 (cos.f64 eps) (*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18))) 1) -1) x (sin.f64 eps))))
(fma.f64 (+.f64 1/6 (fma.f64 (cbrt.f64 (sin.f64 eps)) (fma.f64 2/3 (*.f64 (cbrt.f64 (/.f64 1 (sin.f64 eps))) (-.f64 (*.f64 (cos.f64 eps) -1/6) (fma.f64 (*.f64 (*.f64 2/3 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18)) (*.f64 (cos.f64 eps) (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (cos.f64 eps) 2))) -1/3))) (*.f64 1/27 (*.f64 (pow.f64 (cos.f64 eps) 3) (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)))))))) (*.f64 2/9 (*.f64 (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (cos.f64 eps) 2))) -1/3)) (*.f64 (cos.f64 eps) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 8)) 1/18)))))) (fma.f64 1/3 (*.f64 (fma.f64 1/9 (*.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18))) (*.f64 (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (cos.f64 eps) 2))) -1/3)) (*.f64 2/3 (cbrt.f64 (/.f64 1 (sin.f64 eps)))))) (*.f64 (cos.f64 eps) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18)))) (fma.f64 2/9 (*.f64 (cos.f64 eps) (*.f64 (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (cos.f64 eps) 2))) -1/3)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18)))) (*.f64 1/3 (-.f64 (*.f64 (cos.f64 eps) -1/6) (fma.f64 (*.f64 (*.f64 2/3 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18)) (*.f64 (cos.f64 eps) (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (cos.f64 eps) 2))) -1/3))) (*.f64 1/27 (*.f64 (pow.f64 (cos.f64 eps) 3) (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)))))))))))) (pow.f64 x 3) (fma.f64 (fma.f64 1/3 (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (cos.f64 eps) 2))) -1/3)) (fma.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (cos.f64 eps) 2))) 2/9 (*.f64 (cbrt.f64 (sin.f64 eps)) (fma.f64 1/9 (*.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18))) (*.f64 (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (cos.f64 eps) 2))) -1/3)) (*.f64 2/3 (cbrt.f64 (/.f64 1 (sin.f64 eps))))))))) (*.f64 x x) (fma.f64 (+.f64 (*.f64 (cos.f64 eps) (*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18))) -1) x (sin.f64 eps))))
(fma.f64 (+.f64 1/6 (fma.f64 (cbrt.f64 (sin.f64 eps)) (fma.f64 2/3 (*.f64 (cbrt.f64 (/.f64 1 (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) (-.f64 -1/6 (*.f64 (*.f64 (*.f64 2/3 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18)) (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (cos.f64 eps) 2))) -1/3))))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2))) (*.f64 (pow.f64 (cos.f64 eps) 3) -1/27)))) (*.f64 2/9 (*.f64 (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (cos.f64 eps) 2))) -1/3)) (*.f64 (cos.f64 eps) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 8)) 1/18)))))) (+.f64 (*.f64 1/3 (+.f64 (*.f64 (cos.f64 eps) (-.f64 -1/6 (*.f64 (*.f64 (*.f64 2/3 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18)) (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (cos.f64 eps) 2))) -1/3))))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2))) (*.f64 (pow.f64 (cos.f64 eps) 3) -1/27)))) (*.f64 (cos.f64 eps) (+.f64 (*.f64 (*.f64 (fma.f64 1/9 (*.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18))) (*.f64 (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (cos.f64 eps) 2))) -1/3)) (*.f64 2/3 (cbrt.f64 (/.f64 1 (sin.f64 eps)))))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18))) 1/3) (*.f64 (*.f64 (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (cos.f64 eps) 2))) -1/3)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18))) 2/9)))))) (pow.f64 x 3) (fma.f64 (+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (*.f64 (pow.f64 (cos.f64 eps) 2) 2/9)) (+.f64 (*.f64 1/9 (*.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18))) (cbrt.f64 (sin.f64 eps)))) (*.f64 (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (cos.f64 eps) 2))) -1/3)) (+.f64 1/3 (*.f64 (cbrt.f64 (sin.f64 eps)) (*.f64 2/3 (cbrt.f64 (/.f64 1 (sin.f64 eps))))))))) (*.f64 x x) (fma.f64 (fma.f64 (cos.f64 eps) (*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18)) -1) x (sin.f64 eps))))
(fma.f64 (+.f64 1/6 (fma.f64 (cbrt.f64 (sin.f64 eps)) (fma.f64 2/3 (*.f64 (cbrt.f64 (/.f64 1 (sin.f64 eps))) (fma.f64 (cos.f64 eps) (-.f64 -1/6 (*.f64 (*.f64 (*.f64 2/3 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18)) (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (cos.f64 eps) 2))) -1/3)))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2))) (*.f64 (pow.f64 (cos.f64 eps) 3) -1/27)))) (*.f64 2/9 (*.f64 (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (cos.f64 eps) 2))) -1/3)) (*.f64 (cos.f64 eps) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 8)) 1/18)))))) (+.f64 (*.f64 1/3 (fma.f64 (cos.f64 eps) (-.f64 -1/6 (*.f64 (*.f64 (*.f64 2/3 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18)) (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (cos.f64 eps) 2))) -1/3)))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2))) (*.f64 (pow.f64 (cos.f64 eps) 3) -1/27)))) (*.f64 (cos.f64 eps) (+.f64 (*.f64 (*.f64 (fma.f64 1/9 (*.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18))) (*.f64 (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (cos.f64 eps) 2))) -1/3)) (*.f64 2/3 (cbrt.f64 (/.f64 1 (sin.f64 eps)))))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18))) 1/3) (*.f64 (*.f64 (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (cos.f64 eps) 2))) -1/3)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18))) 2/9)))))) (pow.f64 x 3) (fma.f64 (+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (*.f64 (pow.f64 (cos.f64 eps) 2) 2/9)) (+.f64 (*.f64 1/9 (*.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18))) (cbrt.f64 (sin.f64 eps)))) (*.f64 (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (cos.f64 eps) 2))) -1/3)) (+.f64 1/3 (*.f64 (cbrt.f64 (sin.f64 eps)) (*.f64 2/3 (cbrt.f64 (/.f64 1 (sin.f64 eps))))))))) (*.f64 x x) (fma.f64 (fma.f64 (cos.f64 eps) (*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18)) -1) x (sin.f64 eps))))
(-.f64 (*.f64 (pow.f64 1 1/3) (sin.f64 (+.f64 eps x))) (sin.f64 x))
(-.f64 (*.f64 1 (sin.f64 (+.f64 eps x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (sin.f64 (+.f64 eps x))) (sin.f64 x))
(-.f64 (*.f64 1 (sin.f64 (+.f64 eps x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (sin.f64 (+.f64 eps x))) (sin.f64 x))
(-.f64 (*.f64 1 (sin.f64 (+.f64 eps x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (sin.f64 (+.f64 eps x))) (sin.f64 x))
(-.f64 (*.f64 1 (sin.f64 (+.f64 eps x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (sin.f64 (-.f64 eps (*.f64 -1 x)))) (sin.f64 x))
(-.f64 (*.f64 1 (sin.f64 (+.f64 eps x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (sin.f64 (-.f64 eps (*.f64 -1 x)))) (sin.f64 x))
(-.f64 (*.f64 1 (sin.f64 (+.f64 eps x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (sin.f64 (-.f64 eps (*.f64 -1 x)))) (sin.f64 x))
(-.f64 (*.f64 1 (sin.f64 (+.f64 eps x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (sin.f64 (-.f64 eps (*.f64 -1 x)))) (sin.f64 x))
(-.f64 (*.f64 1 (sin.f64 (+.f64 eps x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (sin.f64 x)) (sin.f64 x))
(-.f64 (sin.f64 x) (sin.f64 x))
0
(-.f64 (+.f64 (*.f64 (pow.f64 1 1/3) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 2/3 (*.f64 (cos.f64 x) (pow.f64 (*.f64 1 (pow.f64 (sin.f64 x) 4)) 1/9))) (*.f64 1/3 (*.f64 (cos.f64 x) (pow.f64 (*.f64 1 (pow.f64 (sin.f64 x) 4)) 1/9)))))) (sin.f64 x))
(-.f64 (+.f64 (sin.f64 x) (*.f64 eps (*.f64 (*.f64 (cos.f64 x) (*.f64 (pow.f64 (pow.f64 (sin.f64 x) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 x) 4) 1/18))) 1))) (sin.f64 x))
(+.f64 (*.f64 eps (*.f64 (cos.f64 x) (*.f64 (pow.f64 (pow.f64 (sin.f64 x) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 x) 4) 1/18)))) 0)
(*.f64 eps (*.f64 (cos.f64 x) (*.f64 (pow.f64 (pow.f64 (sin.f64 x) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 x) 4) 1/18))))
(-.f64 (+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 (pow.f64 (*.f64 1 (sin.f64 x)) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/3) (-.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/9) (pow.f64 (cos.f64 x) 2)))))) (*.f64 1/9 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/9))))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (/.f64 1 (sin.f64 x)) 1/9))) (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/9) (pow.f64 (cos.f64 x) 2))))))))) (+.f64 (*.f64 (pow.f64 1 1/3) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 2/3 (*.f64 (cos.f64 x) (pow.f64 (*.f64 1 (pow.f64 (sin.f64 x) 4)) 1/9))) (*.f64 1/3 (*.f64 (cos.f64 x) (pow.f64 (*.f64 1 (pow.f64 (sin.f64 x) 4)) 1/9))))))) (sin.f64 x))
(-.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (cbrt.f64 (sin.f64 x)) (fma.f64 2/3 (*.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) (-.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)) (pow.f64 (cos.f64 x) 2))))) (*.f64 1/9 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/18))))) (fma.f64 2/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)) (pow.f64 (cos.f64 x) 2)) (*.f64 1/3 (-.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)) (pow.f64 (cos.f64 x) 2))))))) (+.f64 (sin.f64 x) (*.f64 eps (*.f64 (*.f64 (cos.f64 x) (*.f64 (pow.f64 (pow.f64 (sin.f64 x) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 x) 4) 1/18))) 1)))) (sin.f64 x))
(fma.f64 (*.f64 eps eps) (fma.f64 (cbrt.f64 (sin.f64 x)) (fma.f64 2/3 (*.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) (fma.f64 -1/2 (sin.f64 x) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)) (pow.f64 (cos.f64 x) 2)) -1/3))) (*.f64 1/9 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/18))))) (fma.f64 1/3 (fma.f64 -1/2 (sin.f64 x) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)) (pow.f64 (cos.f64 x) 2)) -1/3)) (*.f64 2/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)) (pow.f64 (cos.f64 x) 2))))) (+.f64 (*.f64 eps (*.f64 (cos.f64 x) (*.f64 (pow.f64 (pow.f64 (sin.f64 x) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 x) 4) 1/18)))) 0))
(*.f64 eps (+.f64 (*.f64 (fma.f64 (cbrt.f64 (sin.f64 x)) (fma.f64 1/9 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/18))) (*.f64 (fma.f64 -1/2 (sin.f64 x) (*.f64 (*.f64 -1/3 (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)))) (*.f64 2/3 (cbrt.f64 (/.f64 1 (sin.f64 x)))))) (fma.f64 1/3 (fma.f64 -1/2 (sin.f64 x) (*.f64 (*.f64 -1/3 (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)) (*.f64 2/9 (pow.f64 (cos.f64 x) 2))))) eps) (*.f64 (cos.f64 x) (*.f64 (pow.f64 (pow.f64 (sin.f64 x) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 x) 4) 1/18)))))
(-.f64 (+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 (pow.f64 (*.f64 1 (sin.f64 x)) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/3) (-.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/9) (pow.f64 (cos.f64 x) 2)))))) (*.f64 1/9 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/9))))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (/.f64 1 (sin.f64 x)) 1/9))) (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/9) (pow.f64 (cos.f64 x) 2))))))))) (+.f64 (*.f64 (pow.f64 1 1/3) (sin.f64 x)) (+.f64 (*.f64 eps (+.f64 (*.f64 2/3 (*.f64 (cos.f64 x) (pow.f64 (*.f64 1 (pow.f64 (sin.f64 x) 4)) 1/9))) (*.f64 1/3 (*.f64 (cos.f64 x) (pow.f64 (*.f64 1 (pow.f64 (sin.f64 x) 4)) 1/9))))) (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 2/9 (*.f64 (*.f64 (cos.f64 x) (-.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/9) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 5)) 1/9))) (+.f64 (*.f64 1/3 (*.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/3) (-.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/9) (pow.f64 (cos.f64 x) 2)))))) (*.f64 1/9 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/9))))) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/9))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 -1/6 (cos.f64 x)) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/3))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 5)) 1/9) (*.f64 (cos.f64 x) (-.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/9) (pow.f64 (cos.f64 x) 2))))))))))) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/3) (-.f64 (*.f64 -1/6 (cos.f64 x)) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/3))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 5)) 1/9) (*.f64 (cos.f64 x) (-.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/9) (pow.f64 (cos.f64 x) 2))))))))))) (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 8)) 1/9) (*.f64 (cos.f64 x) (-.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/9) (pow.f64 (cos.f64 x) 2)))))))) (pow.f64 (*.f64 1 (sin.f64 x)) 1/3))))))))) (sin.f64 x))
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(fma.f64 (*.f64 eps eps) (fma.f64 (cbrt.f64 (sin.f64 x)) (fma.f64 2/3 (*.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) (fma.f64 -1/2 (sin.f64 x) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)) (pow.f64 (cos.f64 x) 2)) -1/3))) (*.f64 1/9 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/18))))) (fma.f64 1/3 (fma.f64 -1/2 (sin.f64 x) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)) (pow.f64 (cos.f64 x) 2)) -1/3)) (*.f64 2/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)) (pow.f64 (cos.f64 x) 2))))) (+.f64 (fma.f64 eps (*.f64 (cos.f64 x) (*.f64 (pow.f64 (pow.f64 (sin.f64 x) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 x) 4) 1/18))) (*.f64 (pow.f64 eps 3) (fma.f64 2/9 (*.f64 (fma.f64 -1/2 (sin.f64 x) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)) (pow.f64 (cos.f64 x) 2)) -1/3)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 5)) 1/18)))) (fma.f64 1/3 (*.f64 (cos.f64 x) (*.f64 (fma.f64 2/3 (*.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) (fma.f64 -1/2 (sin.f64 x) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)) (pow.f64 (cos.f64 x) 2)) -1/3))) (*.f64 1/9 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/18))))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/18)))) (fma.f64 1/3 (-.f64 (*.f64 -1/6 (cos.f64 x)) (fma.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 5)) 1/18))) (*.f64 (cos.f64 x) (fma.f64 -1/2 (sin.f64 x) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)) (pow.f64 (cos.f64 x) 2)) -1/3))) (*.f64 1/27 (*.f64 (pow.f64 (cos.f64 x) 3) (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2))))))) (*.f64 (cbrt.f64 (sin.f64 x)) (fma.f64 (*.f64 2/3 (cbrt.f64 (/.f64 1 (sin.f64 x)))) (-.f64 (*.f64 -1/6 (cos.f64 x)) (fma.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 5)) 1/18))) (*.f64 (cos.f64 x) (fma.f64 -1/2 (sin.f64 x) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)) (pow.f64 (cos.f64 x) 2)) -1/3))) (*.f64 1/27 (*.f64 (pow.f64 (cos.f64 x) 3) (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2))))))) (*.f64 2/9 (*.f64 (*.f64 (cos.f64 x) (fma.f64 -1/2 (sin.f64 x) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)) (pow.f64 (cos.f64 x) 2)) -1/3))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 8)) 1/18))))))))))) 0))
(fma.f64 (*.f64 eps eps) (fma.f64 (cbrt.f64 (sin.f64 x)) (fma.f64 1/9 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/18))) (*.f64 (fma.f64 -1/2 (sin.f64 x) (*.f64 (*.f64 -1/3 (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)))) (*.f64 2/3 (cbrt.f64 (/.f64 1 (sin.f64 x)))))) (fma.f64 1/3 (fma.f64 -1/2 (sin.f64 x) (*.f64 (*.f64 -1/3 (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)) (*.f64 2/9 (pow.f64 (cos.f64 x) 2))))) (fma.f64 (pow.f64 eps 3) (+.f64 (+.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 8)) 1/18)) (*.f64 (*.f64 2/9 (cos.f64 x)) (fma.f64 -1/2 (sin.f64 x) (*.f64 (*.f64 -1/3 (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18))))))) (*.f64 (+.f64 (*.f64 (cos.f64 x) (-.f64 -1/6 (*.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 5)) 1/18))) (fma.f64 -1/2 (sin.f64 x) (*.f64 (*.f64 -1/3 (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18))))))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2))) (*.f64 (pow.f64 (cos.f64 x) 3) -1/27))) (+.f64 1/3 (*.f64 (cbrt.f64 (sin.f64 x)) (*.f64 2/3 (cbrt.f64 (/.f64 1 (sin.f64 x)))))))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (*.f64 (fma.f64 -1/2 (sin.f64 x) (*.f64 (*.f64 -1/3 (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 5)) 1/18))) 2/9) (*.f64 (*.f64 (fma.f64 1/9 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/18))) (*.f64 (fma.f64 -1/2 (sin.f64 x) (*.f64 (*.f64 -1/3 (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)))) (*.f64 2/3 (cbrt.f64 (/.f64 1 (sin.f64 x)))))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/18))) 1/3)))) (*.f64 eps (*.f64 (cos.f64 x) (*.f64 (pow.f64 (pow.f64 (sin.f64 x) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 x) 4) 1/18))))))
(fma.f64 (*.f64 eps eps) (fma.f64 (cbrt.f64 (sin.f64 x)) (fma.f64 1/9 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/18))) (*.f64 (fma.f64 -1/2 (sin.f64 x) (*.f64 (*.f64 -1/3 (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)))) (*.f64 2/3 (cbrt.f64 (/.f64 1 (sin.f64 x)))))) (fma.f64 1/3 (fma.f64 -1/2 (sin.f64 x) (*.f64 (*.f64 -1/3 (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)) (*.f64 2/9 (pow.f64 (cos.f64 x) 2))))) (fma.f64 (pow.f64 eps 3) (+.f64 (+.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 8)) 1/18)) (*.f64 (*.f64 2/9 (cos.f64 x)) (fma.f64 -1/2 (sin.f64 x) (*.f64 (*.f64 -1/3 (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18))))))) (*.f64 (fma.f64 (cos.f64 x) (-.f64 -1/6 (*.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 5)) 1/18))) (fma.f64 -1/2 (sin.f64 x) (*.f64 (*.f64 -1/3 (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)))))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2))) (*.f64 (pow.f64 (cos.f64 x) 3) -1/27))) (+.f64 1/3 (*.f64 (cbrt.f64 (sin.f64 x)) (*.f64 2/3 (cbrt.f64 (/.f64 1 (sin.f64 x)))))))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (*.f64 (fma.f64 -1/2 (sin.f64 x) (*.f64 (*.f64 -1/3 (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 5)) 1/18))) 2/9) (*.f64 (*.f64 (fma.f64 1/9 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/18))) (*.f64 (fma.f64 -1/2 (sin.f64 x) (*.f64 (*.f64 -1/3 (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)))) (*.f64 2/3 (cbrt.f64 (/.f64 1 (sin.f64 x)))))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/18))) 1/3)))) (*.f64 eps (*.f64 (cos.f64 x) (*.f64 (pow.f64 (pow.f64 (sin.f64 x) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 x) 4) 1/18))))))
(-.f64 (*.f64 (pow.f64 1 1/3) (sin.f64 (+.f64 eps x))) (sin.f64 x))
(-.f64 (*.f64 1 (sin.f64 (+.f64 eps x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (sin.f64 (+.f64 eps x))) (sin.f64 x))
(-.f64 (*.f64 1 (sin.f64 (+.f64 eps x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (sin.f64 (+.f64 eps x))) (sin.f64 x))
(-.f64 (*.f64 1 (sin.f64 (+.f64 eps x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (sin.f64 (+.f64 eps x))) (sin.f64 x))
(-.f64 (*.f64 1 (sin.f64 (+.f64 eps x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (sin.f64 (-.f64 x (*.f64 -1 eps)))) (sin.f64 x))
(-.f64 (*.f64 1 (sin.f64 (+.f64 eps x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (sin.f64 (-.f64 x (*.f64 -1 eps)))) (sin.f64 x))
(-.f64 (*.f64 1 (sin.f64 (+.f64 eps x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (sin.f64 (-.f64 x (*.f64 -1 eps)))) (sin.f64 x))
(-.f64 (*.f64 1 (sin.f64 (+.f64 eps x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (sin.f64 (-.f64 x (*.f64 -1 eps)))) (sin.f64 x))
(-.f64 (*.f64 1 (sin.f64 (+.f64 eps x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(*.f64 (pow.f64 1 1/3) (sin.f64 eps))
(sin.f64 eps)
(+.f64 (*.f64 (+.f64 (*.f64 2/3 (*.f64 (cos.f64 eps) (pow.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9))) (*.f64 1/3 (*.f64 (cos.f64 eps) (pow.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9)))) x) (*.f64 (pow.f64 1 1/3) (sin.f64 eps)))
(fma.f64 (*.f64 (*.f64 (cos.f64 eps) (*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18))) 1) x (sin.f64 eps))
(fma.f64 (*.f64 (cos.f64 eps) (*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18))) x (sin.f64 eps))
(+.f64 (*.f64 (+.f64 (*.f64 2/3 (*.f64 (cos.f64 eps) (pow.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9))) (*.f64 1/3 (*.f64 (cos.f64 eps) (pow.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9)))) x) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (cos.f64 eps) 2)))))) (+.f64 (*.f64 (pow.f64 (*.f64 1 (sin.f64 eps)) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/3) (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (cos.f64 eps) 2)))))) (*.f64 1/9 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9))))) (*.f64 2/9 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9))))) (pow.f64 x 2)) (*.f64 (pow.f64 1 1/3) (sin.f64 eps))))
(fma.f64 (*.f64 (*.f64 (cos.f64 eps) (*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18))) 1) x (fma.f64 (+.f64 (*.f64 1/3 (+.f64 (*.f64 (sin.f64 eps) -1/2) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (cos.f64 eps) 2))))) (fma.f64 (cbrt.f64 (sin.f64 eps)) (fma.f64 2/3 (*.f64 (+.f64 (*.f64 (sin.f64 eps) -1/2) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (cos.f64 eps) 2)))) (cbrt.f64 (/.f64 1 (sin.f64 eps)))) (*.f64 1/9 (*.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18))))) (*.f64 (*.f64 2/9 (pow.f64 (cos.f64 eps) 2)) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18))))) (*.f64 x x) (sin.f64 eps)))
(fma.f64 (*.f64 (cos.f64 eps) (*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18))) x (fma.f64 (fma.f64 1/3 (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (cos.f64 eps) 2))) -1/3)) (fma.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (cos.f64 eps) 2))) 2/9 (*.f64 (cbrt.f64 (sin.f64 eps)) (fma.f64 1/9 (*.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18))) (*.f64 (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (cos.f64 eps) 2))) -1/3)) (*.f64 2/3 (cbrt.f64 (/.f64 1 (sin.f64 eps))))))))) (*.f64 x x) (sin.f64 eps)))
(fma.f64 (*.f64 (cos.f64 eps) (*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18))) x (fma.f64 (+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (*.f64 (pow.f64 (cos.f64 eps) 2) 2/9)) (+.f64 (*.f64 1/9 (*.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18))) (cbrt.f64 (sin.f64 eps)))) (*.f64 (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (cos.f64 eps) 2))) -1/3)) (+.f64 1/3 (*.f64 (cbrt.f64 (sin.f64 eps)) (*.f64 2/3 (cbrt.f64 (/.f64 1 (sin.f64 eps))))))))) (*.f64 x x) (sin.f64 eps)))
(+.f64 (*.f64 (+.f64 (*.f64 2/3 (*.f64 (cos.f64 eps) (pow.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9))) (*.f64 1/3 (*.f64 (cos.f64 eps) (pow.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9)))) x) (+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 1 (sin.f64 eps)) 1/3) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 8)) 1/9) (*.f64 (cos.f64 eps) (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (cos.f64 eps) 2))))))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/3) (-.f64 (*.f64 -1/6 (cos.f64 eps)) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/3))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/9) (*.f64 (cos.f64 eps) (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (cos.f64 eps) 2))))))))))))) (+.f64 (*.f64 1/3 (*.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/3) (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (cos.f64 eps) 2)))))) (*.f64 1/9 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9))))) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/9))) (+.f64 (*.f64 2/9 (*.f64 (*.f64 (cos.f64 eps) (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/9))) (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 -1/6 (cos.f64 eps)) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/3))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/9) (*.f64 (cos.f64 eps) (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (cos.f64 eps) 2)))))))))))))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (cos.f64 eps) 2)))))) (+.f64 (*.f64 (pow.f64 (*.f64 1 (sin.f64 eps)) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/3) (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (cos.f64 eps) 2)))))) (*.f64 1/9 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9))))) (*.f64 2/9 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9))))) (pow.f64 x 2)) (*.f64 (pow.f64 1 1/3) (sin.f64 eps)))))
(fma.f64 (*.f64 (*.f64 (cos.f64 eps) (*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18))) 1) x (fma.f64 (fma.f64 (cbrt.f64 (sin.f64 eps)) (fma.f64 2/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 8)) 1/18)) (*.f64 (cos.f64 eps) (+.f64 (*.f64 (sin.f64 eps) -1/2) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (cos.f64 eps) 2)))))) (*.f64 2/3 (*.f64 (cbrt.f64 (/.f64 1 (sin.f64 eps))) (-.f64 (*.f64 (cos.f64 eps) -1/6) (fma.f64 1/27 (*.f64 (pow.f64 (cos.f64 eps) 3) (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)))) (*.f64 2/3 (*.f64 (cos.f64 eps) (*.f64 (+.f64 (*.f64 (sin.f64 eps) -1/2) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (cos.f64 eps) 2)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18)))))))))) (fma.f64 1/3 (*.f64 (cos.f64 eps) (*.f64 (fma.f64 2/3 (*.f64 (+.f64 (*.f64 (sin.f64 eps) -1/2) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (cos.f64 eps) 2)))) (cbrt.f64 (/.f64 1 (sin.f64 eps)))) (*.f64 1/9 (*.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18))))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18)))) (fma.f64 2/9 (*.f64 (cos.f64 eps) (*.f64 (+.f64 (*.f64 (sin.f64 eps) -1/2) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (cos.f64 eps) 2)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18)))) (*.f64 1/3 (-.f64 (*.f64 (cos.f64 eps) -1/6) (fma.f64 1/27 (*.f64 (pow.f64 (cos.f64 eps) 3) (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)))) (*.f64 2/3 (*.f64 (cos.f64 eps) (*.f64 (+.f64 (*.f64 (sin.f64 eps) -1/2) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (cos.f64 eps) 2)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18))))))))))) (pow.f64 x 3) (fma.f64 (+.f64 (*.f64 1/3 (+.f64 (*.f64 (sin.f64 eps) -1/2) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (cos.f64 eps) 2))))) (fma.f64 (cbrt.f64 (sin.f64 eps)) (fma.f64 2/3 (*.f64 (+.f64 (*.f64 (sin.f64 eps) -1/2) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (cos.f64 eps) 2)))) (cbrt.f64 (/.f64 1 (sin.f64 eps)))) (*.f64 1/9 (*.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18))))) (*.f64 (*.f64 2/9 (pow.f64 (cos.f64 eps) 2)) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18))))) (*.f64 x x) (sin.f64 eps))))
(fma.f64 (*.f64 (cos.f64 eps) (*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18))) x (fma.f64 (pow.f64 x 3) (fma.f64 (cbrt.f64 (sin.f64 eps)) (fma.f64 2/3 (*.f64 (cbrt.f64 (/.f64 1 (sin.f64 eps))) (-.f64 (*.f64 (cos.f64 eps) -1/6) (fma.f64 (*.f64 (*.f64 2/3 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18)) (*.f64 (cos.f64 eps) (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (cos.f64 eps) 2))) -1/3))) (*.f64 1/27 (*.f64 (pow.f64 (cos.f64 eps) 3) (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)))))))) (*.f64 2/9 (*.f64 (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (cos.f64 eps) 2))) -1/3)) (*.f64 (cos.f64 eps) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 8)) 1/18)))))) (fma.f64 1/3 (*.f64 (fma.f64 1/9 (*.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18))) (*.f64 (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (cos.f64 eps) 2))) -1/3)) (*.f64 2/3 (cbrt.f64 (/.f64 1 (sin.f64 eps)))))) (*.f64 (cos.f64 eps) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18)))) (fma.f64 2/9 (*.f64 (cos.f64 eps) (*.f64 (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (cos.f64 eps) 2))) -1/3)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18)))) (*.f64 1/3 (-.f64 (*.f64 (cos.f64 eps) -1/6) (fma.f64 (*.f64 (*.f64 2/3 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18)) (*.f64 (cos.f64 eps) (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (cos.f64 eps) 2))) -1/3))) (*.f64 1/27 (*.f64 (pow.f64 (cos.f64 eps) 3) (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2))))))))))) (fma.f64 (fma.f64 1/3 (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (cos.f64 eps) 2))) -1/3)) (fma.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (cos.f64 eps) 2))) 2/9 (*.f64 (cbrt.f64 (sin.f64 eps)) (fma.f64 1/9 (*.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18))) (*.f64 (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (cos.f64 eps) 2))) -1/3)) (*.f64 2/3 (cbrt.f64 (/.f64 1 (sin.f64 eps))))))))) (*.f64 x x) (sin.f64 eps))))
(fma.f64 (*.f64 (cos.f64 eps) (*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18))) x (fma.f64 (pow.f64 x 3) (fma.f64 (cbrt.f64 (sin.f64 eps)) (fma.f64 2/3 (*.f64 (cbrt.f64 (/.f64 1 (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) (-.f64 -1/6 (*.f64 (*.f64 (*.f64 2/3 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18)) (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (cos.f64 eps) 2))) -1/3))))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2))) (*.f64 (pow.f64 (cos.f64 eps) 3) -1/27)))) (*.f64 2/9 (*.f64 (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (cos.f64 eps) 2))) -1/3)) (*.f64 (cos.f64 eps) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 8)) 1/18)))))) (+.f64 (*.f64 1/3 (+.f64 (*.f64 (cos.f64 eps) (-.f64 -1/6 (*.f64 (*.f64 (*.f64 2/3 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18)) (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (cos.f64 eps) 2))) -1/3))))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2))) (*.f64 (pow.f64 (cos.f64 eps) 3) -1/27)))) (*.f64 (cos.f64 eps) (+.f64 (*.f64 (*.f64 (fma.f64 1/9 (*.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18))) (*.f64 (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (cos.f64 eps) 2))) -1/3)) (*.f64 2/3 (cbrt.f64 (/.f64 1 (sin.f64 eps)))))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18))) 1/3) (*.f64 (*.f64 (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (cos.f64 eps) 2))) -1/3)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18))) 2/9))))) (fma.f64 (+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (*.f64 (pow.f64 (cos.f64 eps) 2) 2/9)) (+.f64 (*.f64 1/9 (*.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18))) (cbrt.f64 (sin.f64 eps)))) (*.f64 (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (cos.f64 eps) 2))) -1/3)) (+.f64 1/3 (*.f64 (cbrt.f64 (sin.f64 eps)) (*.f64 2/3 (cbrt.f64 (/.f64 1 (sin.f64 eps))))))))) (*.f64 x x) (sin.f64 eps))))
(fma.f64 (*.f64 (cos.f64 eps) (*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18))) x (fma.f64 (pow.f64 x 3) (fma.f64 (cbrt.f64 (sin.f64 eps)) (fma.f64 2/3 (*.f64 (cbrt.f64 (/.f64 1 (sin.f64 eps))) (fma.f64 (cos.f64 eps) (-.f64 -1/6 (*.f64 (*.f64 (*.f64 2/3 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18)) (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (cos.f64 eps) 2))) -1/3)))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2))) (*.f64 (pow.f64 (cos.f64 eps) 3) -1/27)))) (*.f64 2/9 (*.f64 (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (cos.f64 eps) 2))) -1/3)) (*.f64 (cos.f64 eps) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 8)) 1/18)))))) (+.f64 (*.f64 1/3 (fma.f64 (cos.f64 eps) (-.f64 -1/6 (*.f64 (*.f64 (*.f64 2/3 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18)) (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (cos.f64 eps) 2))) -1/3)))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2))) (*.f64 (pow.f64 (cos.f64 eps) 3) -1/27)))) (*.f64 (cos.f64 eps) (+.f64 (*.f64 (*.f64 (fma.f64 1/9 (*.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18))) (*.f64 (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (cos.f64 eps) 2))) -1/3)) (*.f64 2/3 (cbrt.f64 (/.f64 1 (sin.f64 eps)))))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18))) 1/3) (*.f64 (*.f64 (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (cos.f64 eps) 2))) -1/3)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18))) 2/9))))) (fma.f64 (+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (*.f64 (pow.f64 (cos.f64 eps) 2) 2/9)) (+.f64 (*.f64 1/9 (*.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18))) (cbrt.f64 (sin.f64 eps)))) (*.f64 (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (cos.f64 eps) 2))) -1/3)) (+.f64 1/3 (*.f64 (cbrt.f64 (sin.f64 eps)) (*.f64 2/3 (cbrt.f64 (/.f64 1 (sin.f64 eps))))))))) (*.f64 x x) (sin.f64 eps))))
(*.f64 (pow.f64 1 1/3) (sin.f64 (+.f64 eps x)))
(*.f64 1 (sin.f64 (+.f64 eps x)))
(sin.f64 (+.f64 eps x))
(*.f64 (pow.f64 1 1/3) (sin.f64 (+.f64 eps x)))
(*.f64 1 (sin.f64 (+.f64 eps x)))
(sin.f64 (+.f64 eps x))
(*.f64 (pow.f64 1 1/3) (sin.f64 (+.f64 eps x)))
(*.f64 1 (sin.f64 (+.f64 eps x)))
(sin.f64 (+.f64 eps x))
(*.f64 (pow.f64 1 1/3) (sin.f64 (+.f64 eps x)))
(*.f64 1 (sin.f64 (+.f64 eps x)))
(sin.f64 (+.f64 eps x))
(*.f64 (pow.f64 1 1/3) (sin.f64 (-.f64 eps (*.f64 -1 x))))
(*.f64 1 (sin.f64 (+.f64 eps x)))
(sin.f64 (+.f64 eps x))
(*.f64 (pow.f64 1 1/3) (sin.f64 (-.f64 eps (*.f64 -1 x))))
(*.f64 1 (sin.f64 (+.f64 eps x)))
(sin.f64 (+.f64 eps x))
(*.f64 (pow.f64 1 1/3) (sin.f64 (-.f64 eps (*.f64 -1 x))))
(*.f64 1 (sin.f64 (+.f64 eps x)))
(sin.f64 (+.f64 eps x))
(*.f64 (pow.f64 1 1/3) (sin.f64 (-.f64 eps (*.f64 -1 x))))
(*.f64 1 (sin.f64 (+.f64 eps x)))
(sin.f64 (+.f64 eps x))
(*.f64 (pow.f64 1 1/3) (sin.f64 x))
(sin.f64 x)
(+.f64 (*.f64 (pow.f64 1 1/3) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 2/3 (*.f64 (cos.f64 x) (pow.f64 (*.f64 1 (pow.f64 (sin.f64 x) 4)) 1/9))) (*.f64 1/3 (*.f64 (cos.f64 x) (pow.f64 (*.f64 1 (pow.f64 (sin.f64 x) 4)) 1/9))))))
(+.f64 (sin.f64 x) (*.f64 eps (*.f64 (*.f64 (cos.f64 x) (*.f64 (pow.f64 (pow.f64 (sin.f64 x) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 x) 4) 1/18))) 1)))
(fma.f64 eps (*.f64 (cos.f64 x) (*.f64 (pow.f64 (pow.f64 (sin.f64 x) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 x) 4) 1/18))) (sin.f64 x))
(+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 (pow.f64 (*.f64 1 (sin.f64 x)) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/3) (-.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/9) (pow.f64 (cos.f64 x) 2)))))) (*.f64 1/9 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/9))))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (/.f64 1 (sin.f64 x)) 1/9))) (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/9) (pow.f64 (cos.f64 x) 2))))))))) (+.f64 (*.f64 (pow.f64 1 1/3) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 2/3 (*.f64 (cos.f64 x) (pow.f64 (*.f64 1 (pow.f64 (sin.f64 x) 4)) 1/9))) (*.f64 1/3 (*.f64 (cos.f64 x) (pow.f64 (*.f64 1 (pow.f64 (sin.f64 x) 4)) 1/9)))))))
(fma.f64 (*.f64 eps eps) (fma.f64 (cbrt.f64 (sin.f64 x)) (fma.f64 2/3 (*.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) (-.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)) (pow.f64 (cos.f64 x) 2))))) (*.f64 1/9 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/18))))) (fma.f64 2/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)) (pow.f64 (cos.f64 x) 2)) (*.f64 1/3 (-.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)) (pow.f64 (cos.f64 x) 2))))))) (+.f64 (sin.f64 x) (*.f64 eps (*.f64 (*.f64 (cos.f64 x) (*.f64 (pow.f64 (pow.f64 (sin.f64 x) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 x) 4) 1/18))) 1))))
(fma.f64 (*.f64 eps eps) (fma.f64 (cbrt.f64 (sin.f64 x)) (fma.f64 2/3 (*.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) (fma.f64 -1/2 (sin.f64 x) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)) (pow.f64 (cos.f64 x) 2)) -1/3))) (*.f64 1/9 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/18))))) (fma.f64 1/3 (fma.f64 -1/2 (sin.f64 x) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)) (pow.f64 (cos.f64 x) 2)) -1/3)) (*.f64 2/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)) (pow.f64 (cos.f64 x) 2))))) (fma.f64 eps (*.f64 (cos.f64 x) (*.f64 (pow.f64 (pow.f64 (sin.f64 x) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 x) 4) 1/18))) (sin.f64 x)))
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(fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2))) (*.f64 (+.f64 (*.f64 (sin.f64 eps) -1/2) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (cos.f64 eps) 2)))) (*.f64 x x))) (+.f64 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18)) (*.f64 (cos.f64 eps) x)) (cbrt.f64 (sin.f64 eps))) (*.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2))) (*.f64 (-.f64 (*.f64 (cos.f64 eps) -1/6) (fma.f64 1/27 (*.f64 (pow.f64 (cos.f64 eps) 3) (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)))) (*.f64 2/3 (*.f64 (cos.f64 eps) (*.f64 (+.f64 (*.f64 (sin.f64 eps) -1/2) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (cos.f64 eps) 2)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18))))))) (pow.f64 x 3))))))
(fma.f64 1/3 (*.f64 (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (cos.f64 eps) 2))) -1/3)) (*.f64 (*.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2))))) (fma.f64 1/3 (*.f64 (cos.f64 eps) (*.f64 x (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18)))) (fma.f64 1/3 (*.f64 (-.f64 (*.f64 (cos.f64 eps) -1/6) (fma.f64 (*.f64 (*.f64 2/3 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18)) (*.f64 (cos.f64 eps) (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (cos.f64 eps) 2))) -1/3))) (*.f64 1/27 (*.f64 (pow.f64 (cos.f64 eps) 3) (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2))))))) (*.f64 (pow.f64 x 3) (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2))))) (cbrt.f64 (sin.f64 eps)))))
(+.f64 (fma.f64 1/3 (*.f64 (cos.f64 eps) (*.f64 x (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18)))) (cbrt.f64 (sin.f64 eps))) (*.f64 (*.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)))) (+.f64 (*.f64 (+.f64 (*.f64 (cos.f64 eps) (-.f64 -1/6 (*.f64 (*.f64 (*.f64 2/3 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18)) (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (cos.f64 eps) 2))) -1/3))))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2))) (*.f64 (pow.f64 (cos.f64 eps) 3) -1/27))) (pow.f64 x 3)) (*.f64 x (*.f64 x (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (cos.f64 eps) 2))) -1/3)))))))
(+.f64 (fma.f64 1/3 (*.f64 (cos.f64 eps) (*.f64 x (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18)))) (cbrt.f64 (sin.f64 eps))) (*.f64 (*.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)))) (+.f64 (*.f64 (fma.f64 (cos.f64 eps) (-.f64 -1/6 (*.f64 (*.f64 (*.f64 2/3 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18)) (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (cos.f64 eps) 2))) -1/3)))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2))) (*.f64 (pow.f64 (cos.f64 eps) 3) -1/27))) (pow.f64 x 3)) (*.f64 x (*.f64 x (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (cos.f64 eps) 2))) -1/3)))))))
(pow.f64 (sin.f64 (+.f64 eps x)) 1/3)
(cbrt.f64 (sin.f64 (+.f64 eps x)))
(pow.f64 (sin.f64 (+.f64 eps x)) 1/3)
(cbrt.f64 (sin.f64 (+.f64 eps x)))
(pow.f64 (sin.f64 (+.f64 eps x)) 1/3)
(cbrt.f64 (sin.f64 (+.f64 eps x)))
(pow.f64 (sin.f64 (+.f64 eps x)) 1/3)
(cbrt.f64 (sin.f64 (+.f64 eps x)))
(pow.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) 1/3)
(cbrt.f64 (sin.f64 (+.f64 eps x)))
(pow.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) 1/3)
(cbrt.f64 (sin.f64 (+.f64 eps x)))
(pow.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) 1/3)
(cbrt.f64 (sin.f64 (+.f64 eps x)))
(pow.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) 1/3)
(cbrt.f64 (sin.f64 (+.f64 eps x)))
(pow.f64 (sin.f64 x) 1/3)
(cbrt.f64 (sin.f64 x))
(+.f64 (*.f64 1/3 (*.f64 (*.f64 (cos.f64 x) eps) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/9))) (pow.f64 (sin.f64 x) 1/3))
(fma.f64 1/3 (*.f64 (cos.f64 x) (*.f64 eps (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/18)))) (cbrt.f64 (sin.f64 x)))
(fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/18)) (*.f64 eps (cos.f64 x))) (cbrt.f64 (sin.f64 x)))
(fma.f64 1/3 (*.f64 eps (*.f64 (cos.f64 x) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/18)))) (cbrt.f64 (sin.f64 x)))
(+.f64 (*.f64 1/3 (*.f64 (*.f64 (cos.f64 x) eps) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/9))) (+.f64 (*.f64 1/3 (*.f64 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/9) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/3))) (pow.f64 (sin.f64 x) 1/3)))
(fma.f64 1/3 (*.f64 (cos.f64 x) (*.f64 eps (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/18)))) (fma.f64 1/3 (*.f64 (*.f64 eps eps) (*.f64 (-.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)) (pow.f64 (cos.f64 x) 2)))) (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2))))) (cbrt.f64 (sin.f64 x))))
(fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/18)) (*.f64 eps (cos.f64 x))) (fma.f64 (*.f64 (*.f64 1/3 (*.f64 eps eps)) (fma.f64 -1/2 (sin.f64 x) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)) (pow.f64 (cos.f64 x) 2)) -1/3))) (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (sin.f64 x))))
(+.f64 (cbrt.f64 (sin.f64 x)) (*.f64 1/3 (*.f64 eps (+.f64 (*.f64 (cos.f64 x) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/18))) (*.f64 eps (*.f64 (fma.f64 -1/2 (sin.f64 x) (*.f64 (*.f64 -1/3 (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)))) (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)))))))))
(+.f64 (*.f64 1/3 (*.f64 (*.f64 (cos.f64 x) eps) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/9))) (+.f64 (*.f64 1/3 (*.f64 (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 -1/6 (cos.f64 x)) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/3))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 5)) 1/9) (*.f64 (cos.f64 x) (-.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/9) (pow.f64 (cos.f64 x) 2)))))))))) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/3))) (+.f64 (*.f64 1/3 (*.f64 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/9) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/3))) (pow.f64 (sin.f64 x) 1/3))))
(fma.f64 1/3 (*.f64 (cos.f64 x) (*.f64 eps (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/18)))) (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2))) (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 -1/6 (cos.f64 x)) (fma.f64 1/27 (*.f64 (pow.f64 (cos.f64 x) 3) (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)))) (*.f64 2/3 (*.f64 (cos.f64 x) (*.f64 (-.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)) (pow.f64 (cos.f64 x) 2)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 5)) 1/18))))))))) (fma.f64 1/3 (*.f64 (*.f64 eps eps) (*.f64 (-.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)) (pow.f64 (cos.f64 x) 2)))) (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2))))) (cbrt.f64 (sin.f64 x)))))
(+.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 -1/6 (cos.f64 x)) (fma.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 5)) 1/18))) (*.f64 (cos.f64 x) (fma.f64 -1/2 (sin.f64 x) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)) (pow.f64 (cos.f64 x) 2)) -1/3))) (*.f64 1/27 (*.f64 (pow.f64 (cos.f64 x) 3) (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2))))))))) (*.f64 (*.f64 1/3 (*.f64 eps eps)) (fma.f64 -1/2 (sin.f64 x) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)) (pow.f64 (cos.f64 x) 2)) -1/3))))) (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/18)) (*.f64 eps (cos.f64 x))) (cbrt.f64 (sin.f64 x))))
(+.f64 (cbrt.f64 (sin.f64 x)) (*.f64 1/3 (+.f64 (*.f64 eps (*.f64 (cos.f64 x) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/18)))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2))) (+.f64 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 (cos.f64 x) (-.f64 -1/6 (*.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 5)) 1/18))) (fma.f64 -1/2 (sin.f64 x) (*.f64 (*.f64 -1/3 (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18))))))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2))) (*.f64 (pow.f64 (cos.f64 x) 3) -1/27)))) (*.f64 (*.f64 eps eps) (fma.f64 -1/2 (sin.f64 x) (*.f64 (*.f64 -1/3 (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18))))))))))
(+.f64 (cbrt.f64 (sin.f64 x)) (*.f64 1/3 (+.f64 (*.f64 eps (*.f64 (cos.f64 x) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/18)))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2))) (+.f64 (*.f64 (pow.f64 eps 3) (fma.f64 (cos.f64 x) (-.f64 -1/6 (*.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 5)) 1/18))) (fma.f64 -1/2 (sin.f64 x) (*.f64 (*.f64 -1/3 (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)))))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2))) (*.f64 (pow.f64 (cos.f64 x) 3) -1/27)))) (*.f64 (*.f64 eps eps) (fma.f64 -1/2 (sin.f64 x) (*.f64 (*.f64 -1/3 (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18))))))))))
(pow.f64 (sin.f64 (+.f64 eps x)) 1/3)
(cbrt.f64 (sin.f64 (+.f64 eps x)))
(pow.f64 (sin.f64 (+.f64 eps x)) 1/3)
(cbrt.f64 (sin.f64 (+.f64 eps x)))
(pow.f64 (sin.f64 (+.f64 eps x)) 1/3)
(cbrt.f64 (sin.f64 (+.f64 eps x)))
(pow.f64 (sin.f64 (+.f64 eps x)) 1/3)
(cbrt.f64 (sin.f64 (+.f64 eps x)))
(pow.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) 1/3)
(cbrt.f64 (sin.f64 (+.f64 eps x)))
(pow.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) 1/3)
(cbrt.f64 (sin.f64 (+.f64 eps x)))
(pow.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) 1/3)
(cbrt.f64 (sin.f64 (+.f64 eps x)))
(pow.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) 1/3)
(cbrt.f64 (sin.f64 (+.f64 eps x)))

localize22.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (cos.f64 x) (sqrt.f64 eps))
✓0.1b
(fma.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps) (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))
✓3.6b
(*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2))
Compiler

Compiled 47 to 17 computations (63.8% saved)

series11.0ms (0.1%)

Counts
3 → 46
Calls

18 calls:

TimeVariablePointExpression
2.0ms
eps
@0
(fma.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps) (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))
1.0ms
eps
@-inf
(fma.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps) (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))
1.0ms
x
@inf
(fma.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps) (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))
1.0ms
x
@-inf
(fma.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps) (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))
1.0ms
eps
@-inf
(*.f64 (cos.f64 x) (sqrt.f64 eps))

rewrite93.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
598×log-prod_binary64
409×pow-prod-down_binary64
305×pow2_binary64
294×prod-diff_binary64
236×pow-unpow_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01245
124240
2287538
Stop Event
1×node limit
Counts
3 → 73
Calls
Call 1
Inputs
(*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2))
(fma.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps) (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))
(*.f64 (cos.f64 x) (sqrt.f64 eps))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 eps (*.f64 eps (*.f64 (sin.f64 x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 (*.f64 eps eps) (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 (*.f64 eps eps) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 (*.f64 eps eps) (sin.f64 x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 (*.f64 eps eps) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 eps (*.f64 eps (*.f64 (sin.f64 x) -1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (*.f64 eps (*.f64 (sin.f64 x) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 eps (sqrt.f64 (*.f64 (sin.f64 x) -1/2))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 eps (sqrt.f64 (*.f64 (sin.f64 x) -1/2))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 eps (*.f64 eps (*.f64 (sin.f64 x) -1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (sqrt.f64 (*.f64 (sin.f64 x) -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 eps (sqrt.f64 (*.f64 (sin.f64 x) -1/2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/2) (*.f64 (*.f64 eps eps) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (*.f64 eps (*.f64 (sin.f64 x) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 eps (sqrt.f64 (*.f64 (sin.f64 x) -1/2))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 eps (*.f64 eps (*.f64 (sin.f64 x) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 eps (*.f64 eps (*.f64 (sin.f64 x) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 eps (*.f64 eps (*.f64 (sin.f64 x) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 eps (*.f64 eps (*.f64 (sin.f64 x) -1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 eps (sqrt.f64 (*.f64 (sin.f64 x) -1/2))) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 eps (*.f64 eps (*.f64 (sin.f64 x) -1/2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 eps (sqrt.f64 (*.f64 (sin.f64 x) -1/2)))) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps (*.f64 eps (*.f64 (sin.f64 x) -1/2))) (*.f64 (cos.f64 x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) eps) (*.f64 eps (*.f64 eps (*.f64 (sin.f64 x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2) (*.f64 (cos.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (cos.f64 x) eps) 1) (*.f64 eps (*.f64 eps (*.f64 (sin.f64 x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2) (*.f64 (cos.f64 x) eps)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2) (*.f64 (cos.f64 x) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2) (*.f64 (cos.f64 x) eps))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2) (*.f64 (cos.f64 x) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2) (*.f64 (cos.f64 x) eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2) (*.f64 (cos.f64 x) eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2) (*.f64 (cos.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2) (*.f64 (cos.f64 x) eps))) (cbrt.f64 (pow.f64 (fma.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2) (*.f64 (cos.f64 x) eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2) (*.f64 (cos.f64 x) eps)) 2)) (cbrt.f64 (fma.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2) (*.f64 (cos.f64 x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2) (*.f64 (cos.f64 x) eps))) (sqrt.f64 (fma.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2) (*.f64 (cos.f64 x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) (pow.f64 (*.f64 eps (sqrt.f64 (*.f64 (sin.f64 x) -1/2))) 6)) (+.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2) (-.f64 (pow.f64 (*.f64 eps (sqrt.f64 (*.f64 (sin.f64 x) -1/2))) 4) (*.f64 (*.f64 (cos.f64 x) eps) (*.f64 eps (*.f64 eps (*.f64 (sin.f64 x) -1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2) (pow.f64 (*.f64 eps (sqrt.f64 (*.f64 (sin.f64 x) -1/2))) 4)) (-.f64 (*.f64 (cos.f64 x) eps) (*.f64 eps (*.f64 eps (*.f64 (sin.f64 x) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2) (*.f64 (cos.f64 x) eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2) (*.f64 (cos.f64 x) eps)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2) (*.f64 (cos.f64 x) eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2) (*.f64 (cos.f64 x) eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2) (*.f64 (cos.f64 x) eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2) (*.f64 (cos.f64 x) eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2) (*.f64 (cos.f64 x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2) (*.f64 (cos.f64 x) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 -1/2) (*.f64 (*.f64 eps eps) (sin.f64 x))) (exp.f64 (*.f64 (cos.f64 x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 eps (*.f64 eps (*.f64 (sin.f64 x) -1/2))))) (exp.f64 (*.f64 (cos.f64 x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (cos.f64 x) eps)) (+.f64 1 (expm1.f64 (*.f64 eps (*.f64 eps (*.f64 (sin.f64 x) -1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2) (*.f64 (cos.f64 x) eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2) (*.f64 (cos.f64 x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2) (*.f64 (cos.f64 x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2) (*.f64 (cos.f64 x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2) (*.f64 (cos.f64 x) eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2) (*.f64 (cos.f64 x) eps)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2) (*.f64 (cos.f64 x) eps)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2) (*.f64 (cos.f64 x) eps)))) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 x) (sqrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 eps)) (cos.f64 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 eps)) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 eps)) (cos.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 eps)) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (pow.f64 (cos.f64 x) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 eps (pow.f64 (cos.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 eps)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)))) 2))))))

simplify388.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
754×distribute-lft-out_binary64
631×sqr-pow_binary64
598×*-commutative_binary64
375×distribute-rgt-out_binary64
370×pow-sqr_binary64
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
066713
1179711
2493691
31812660
43339658
53603658
63828658
74067657
84384657
94695657
106199657
116600657
127072657
137624657
147941657
Stop Event
1×node limit
Counts
119 → 102
Calls
Call 1
Inputs
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (*.f64 1/12 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (+.f64 (*.f64 -1/240 (*.f64 (pow.f64 eps 2) (pow.f64 x 5))) (*.f64 1/12 (*.f64 (pow.f64 eps 2) (pow.f64 x 3)))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (+.f64 (*.f64 -1/240 (*.f64 (pow.f64 eps 2) (pow.f64 x 5))) (+.f64 (*.f64 1/10080 (*.f64 (pow.f64 eps 2) (pow.f64 x 7))) (*.f64 1/12 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
eps
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) eps)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (+.f64 eps (+.f64 (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))) (*.f64 1/12 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
(+.f64 (*.f64 eps (cos.f64 x)) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 eps (cos.f64 x)) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 eps (cos.f64 x)) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 eps (cos.f64 x)) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(sqrt.f64 eps)
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 eps) (pow.f64 x 2))) (sqrt.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 eps) (pow.f64 x 2))) (+.f64 (*.f64 1/24 (*.f64 (sqrt.f64 eps) (pow.f64 x 4))) (sqrt.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 eps) (pow.f64 x 2))) (+.f64 (*.f64 1/24 (*.f64 (sqrt.f64 eps) (pow.f64 x 4))) (+.f64 (*.f64 -1/720 (*.f64 (sqrt.f64 eps) (pow.f64 x 6))) (sqrt.f64 eps))))
(*.f64 (sqrt.f64 eps) (cos.f64 x))
(*.f64 (sqrt.f64 eps) (cos.f64 x))
(*.f64 (sqrt.f64 eps) (cos.f64 x))
(*.f64 (sqrt.f64 eps) (cos.f64 x))
Outputs
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)))
(*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps)))
(*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))))
(*.f64 eps (*.f64 (sin.f64 x) (*.f64 -1/2 eps)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)))
(*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps)))
(*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))))
(*.f64 eps (*.f64 (sin.f64 x) (*.f64 -1/2 eps)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)))
(*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps)))
(*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))))
(*.f64 eps (*.f64 (sin.f64 x) (*.f64 -1/2 eps)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)))
(*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps)))
(*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))))
(*.f64 eps (*.f64 (sin.f64 x) (*.f64 -1/2 eps)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)))
(*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps)))
(*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))))
(*.f64 eps (*.f64 (sin.f64 x) (*.f64 -1/2 eps)))
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eps
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(fma.f64 -1/2 (*.f64 x (*.f64 x (sqrt.f64 eps))) (fma.f64 1/24 (*.f64 (sqrt.f64 eps) (pow.f64 x 4)) (fma.f64 -1/720 (*.f64 (sqrt.f64 eps) (pow.f64 x 6)) (sqrt.f64 eps))))
(+.f64 (fma.f64 -1/2 (*.f64 (*.f64 x x) (sqrt.f64 eps)) (sqrt.f64 eps)) (*.f64 (sqrt.f64 eps) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
(+.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 x x)) (+.f64 (*.f64 -1/720 (pow.f64 x 6)) (*.f64 1/24 (pow.f64 x 4))))))
(*.f64 (sqrt.f64 eps) (+.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (+.f64 (*.f64 -1/720 (pow.f64 x 6)) (*.f64 1/24 (pow.f64 x 4)))))
(*.f64 (sqrt.f64 eps) (+.f64 (*.f64 -1/720 (pow.f64 x 6)) (+.f64 1 (+.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 1/24 (pow.f64 x 4))))))
(*.f64 (sqrt.f64 eps) (cos.f64 x))
(*.f64 (cos.f64 x) (sqrt.f64 eps))
(*.f64 (sqrt.f64 eps) (cos.f64 x))
(*.f64 (cos.f64 x) (sqrt.f64 eps))
(*.f64 (sqrt.f64 eps) (cos.f64 x))
(*.f64 (cos.f64 x) (sqrt.f64 eps))
(*.f64 (sqrt.f64 eps) (cos.f64 x))
(*.f64 (cos.f64 x) (sqrt.f64 eps))

eval479.0ms (2.9%)

Compiler

Compiled 19325 to 9699 computations (49.8% saved)

prune234.0ms (1.4%)

Pruning

57 alts after pruning (52 fresh and 5 done)

PrunedKeptTotal
New82434858
Fresh271845
Picked101
Done358
Total85557912
Error
0.0b
Counts
912 → 57
Alt Table
Click to see full alt table
StatusErrorProgram
0.2b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))) (sin.f64 x)))
61.2b
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 3) (sin.f64 x))
16.4b
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2)) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))
62.6b
(-.f64 (pow.f64 (pow.f64 (sin.f64 x) 1/3) 3) (sin.f64 x))
26.1b
(sin.f64 eps)
0.3b
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))
43.6b
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
45.7b
(+.f64 eps (*.f64 (*.f64 x (*.f64 -1/2 x)) eps))
✓0.2b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
55.7b
(sqrt.f64 (*.f64 eps eps))
46.0b
(+.f64 eps (*.f64 (/.f64 (*.f64 (-.f64 (*.f64 eps eps) (*.f64 x x)) (*.f64 x -1/2)) (-.f64 eps x)) eps))
15.2b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1)) (sin.f64 x)))
27.1b
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
57.7b
(sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 4))))
45.9b
(+.f64 eps (*.f64 -1/2 (*.f64 x (*.f64 eps (+.f64 eps x)))))
20.7b
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) 3))
21.8b
(fma.f64 (*.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (cos.f64 eps) 2))) (cbrt.f64 (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
61.7b
(*.f64 eps (neg.f64 (cos.f64 x)))
45.4b
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
31.9b
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
35.9b
(-.f64 (fma.f64 (cos.f64 eps) x (sin.f64 eps)) x)
0.2b
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
60.8b
(+.f64 (-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
53.2b
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 eps eps)))
▶44.9b
(+.f64 eps (*.f64 (*.f64 eps x) (*.f64 -1/2 eps)))
49.3b
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
61.2b
0
44.1b
eps
38.5b
(*.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
29.9b
(log.f64 (exp.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))
▶21.8b
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
60.5b
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
▶36.6b
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))) 3)
✓35.3b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
✓35.9b
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
46.3b
(*.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))
36.0b
(-.f64 (sin.f64 eps) (sin.f64 x))
29.5b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4))) (sin.f64 x)))
31.9b
(*.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps))
38.0b
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
36.6b
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 3) (sin.f64 x))
43.6b
(-.f64 (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps))))) (sin.f64 x))
21.9b
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (cos.f64 eps))))) (sin.f64 x))
27.9b
(pow.f64 (cbrt.f64 (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))) 3)
✓21.8b
(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
49.3b
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
35.4b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
31.5b
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
1.5b
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))) 3)
0.2b
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
28.7b
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) (*.f64 (sin.f64 eps) (+.f64 1 (*.f64 -1/2 (*.f64 x x)))))
31.7b
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) eps)))
▶26.9b
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
✓31.2b
(*.f64 (cos.f64 x) eps)
0.2b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) (sin.f64 x)))
36.4b
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
▶0.2b
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (*.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 eps) 2))) (+.f64 (cos.f64 eps) 1)))
Compiler

Compiled 1442 to 1013 computations (29.8% saved)

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 eps) 2))) (+.f64 (cos.f64 eps) 1))
✓0.2b
(*.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 eps) 2)))
✓0.2b
(pow.f64 (sin.f64 eps) 2)
✓0.4b
(+.f64 (cos.f64 eps) 1)
Compiler

Compiled 66 to 34 computations (48.5% saved)

series15.0ms (0.1%)

Counts
4 → 64
Calls

18 calls:

TimeVariablePointExpression
3.0ms
x
@0
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 eps) 2))) (+.f64 (cos.f64 eps) 1))
1.0ms
eps
@0
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 eps) 2))) (+.f64 (cos.f64 eps) 1))
1.0ms
x
@inf
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 eps) 2))) (+.f64 (cos.f64 eps) 1))
1.0ms
eps
@inf
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 eps) 2))) (+.f64 (cos.f64 eps) 1))
1.0ms
x
@-inf
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 eps) 2))) (+.f64 (cos.f64 eps) 1))

rewrite91.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
589×log-prod_binary64
342×pow-prod-down_binary64
303×pow2_binary64
226×pow-unpow_binary64
212×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01346
127537
2364737
Stop Event
1×node limit
Counts
4 → 167
Calls
Call 1
Inputs
(+.f64 (cos.f64 eps) 1)
(pow.f64 (sin.f64 eps) 2)
(*.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 eps) 2)))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 eps) 2))) (+.f64 (cos.f64 eps) 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (cos.f64 eps) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) -1)) (/.f64 1 (+.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 (pow.f64 (sin.f64 eps) 2) (/.f64 1 (+.f64 (cos.f64 eps) -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 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) 1)) 2) (neg.f64 (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 (sqrt.f64 (+.f64 (cos.f64 eps) 1)) (neg.f64 (sqrt.f64 (+.f64 (cos.f64 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.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 (neg.f64 (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (sqrt.f64 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.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 1 (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) -1)) (+.f64 1 (pow.f64 (cos.f64 eps) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 (sin.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3))) (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3))) (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.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 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) -1)) (+.f64 1 (pow.f64 (cos.f64 eps) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 (sin.f64 eps) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (cos.f64 eps) 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 log.f64 (/.f64 1 (+.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 (log1p.f64 (+.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 (log1p.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (cos.f64 eps)) 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)) (cbrt.f64 (pow.f64 (cos.f64 eps) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (cos.f64 eps) 2)) (cbrt.f64 (cos.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.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 0 (pow.f64 (sin.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (cos.f64 eps) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 eps) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 eps) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 eps) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 eps) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (pow.f64 (cos.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (pow.f64 (sin.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (cos.f64 eps) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 eps) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (sin.f64 eps) 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simplify120.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
756×fma-def_binary64
432×distribute-rgt-out_binary64
394×associate-*l*_binary64
393×associate-*r*_binary64
269×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01341390
13811309
211921218
351631152
Stop Event
1×node limit
Counts
231 → 219
Calls
Call 1
Inputs
2
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 2)
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 2))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 2 (*.f64 -1/720 (pow.f64 eps 6)))))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (*.f64 -1/3 (pow.f64 eps 4)))
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/3 (pow.f64 eps 4)) (*.f64 2/45 (pow.f64 eps 6))))
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/315 (pow.f64 eps 8)) (+.f64 (*.f64 -1/3 (pow.f64 eps 4)) (*.f64 2/45 (pow.f64 eps 6)))))
(*.f64 -1 (*.f64 x (pow.f64 (sin.f64 eps) 2)))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 eps) 2))) (*.f64 -1 (*.f64 x (pow.f64 (sin.f64 eps) 2))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 eps) 2))) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 x 5) (pow.f64 (sin.f64 eps) 2))) (*.f64 -1 (*.f64 x (pow.f64 (sin.f64 eps) 2)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 eps) 2))) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 x 5) (pow.f64 (sin.f64 eps) 2))) (+.f64 (*.f64 -1 (*.f64 x (pow.f64 (sin.f64 eps) 2))) (*.f64 1/5040 (*.f64 (pow.f64 x 7) (pow.f64 (sin.f64 eps) 2))))))
(*.f64 -1 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)))
(*.f64 -1 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)))
(*.f64 -1 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)))
(*.f64 -1 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)))
(*.f64 -1 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)))
(*.f64 -1 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)))
(*.f64 -1 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)))
(*.f64 -1 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)))
(*.f64 -1 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 1/3 (*.f64 (pow.f64 eps 4) (sin.f64 x))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (*.f64 -2/45 (*.f64 (pow.f64 eps 6) (sin.f64 x))) (*.f64 1/3 (*.f64 (pow.f64 eps 4) (sin.f64 x)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (*.f64 1/315 (*.f64 (pow.f64 eps 8) (sin.f64 x))) (+.f64 (*.f64 -2/45 (*.f64 (pow.f64 eps 6) (sin.f64 x))) (*.f64 1/3 (*.f64 (pow.f64 eps 4) (sin.f64 x))))))
(*.f64 -1 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)))
(*.f64 -1 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)))
(*.f64 -1 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)))
(*.f64 -1 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)))
(*.f64 -1 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)))
(*.f64 -1 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)))
(*.f64 -1 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)))
(*.f64 -1 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)))
(*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (+.f64 1 (cos.f64 eps))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (+.f64 1 (cos.f64 eps)))) (*.f64 1/6 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 3)) (+.f64 1 (cos.f64 eps)))))
(+.f64 (*.f64 -1/120 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 5)) (+.f64 1 (cos.f64 eps)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (+.f64 1 (cos.f64 eps)))) (*.f64 1/6 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 3)) (+.f64 1 (cos.f64 eps))))))
(+.f64 (*.f64 -1/120 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 5)) (+.f64 1 (cos.f64 eps)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (+.f64 1 (cos.f64 eps)))) (+.f64 (*.f64 1/5040 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 7)) (+.f64 1 (cos.f64 eps)))) (*.f64 1/6 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 3)) (+.f64 1 (cos.f64 eps)))))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 4) (-.f64 (*.f64 -1/6 (sin.f64 x)) (*.f64 -1/8 (sin.f64 x))))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 1/45 (sin.f64 x)) (+.f64 (*.f64 1/96 (sin.f64 x)) (*.f64 -1/4 (-.f64 (*.f64 -1/6 (sin.f64 x)) (*.f64 -1/8 (sin.f64 x)))))) (pow.f64 eps 6))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 4) (-.f64 (*.f64 -1/6 (sin.f64 x)) (*.f64 -1/8 (sin.f64 x))))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 1/45 (sin.f64 x)) (+.f64 (*.f64 1/96 (sin.f64 x)) (*.f64 -1/4 (-.f64 (*.f64 -1/6 (sin.f64 x)) (*.f64 -1/8 (sin.f64 x)))))) (pow.f64 eps 6))) (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1/630 (sin.f64 x)) (+.f64 (*.f64 1/48 (-.f64 (*.f64 -1/6 (sin.f64 x)) (*.f64 -1/8 (sin.f64 x)))) (+.f64 (*.f64 -1/4 (-.f64 (*.f64 1/45 (sin.f64 x)) (+.f64 (*.f64 1/96 (sin.f64 x)) (*.f64 -1/4 (-.f64 (*.f64 -1/6 (sin.f64 x)) (*.f64 -1/8 (sin.f64 x))))))) (*.f64 -1/2880 (sin.f64 x))))) (pow.f64 eps 8))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 4) (-.f64 (*.f64 -1/6 (sin.f64 x)) (*.f64 -1/8 (sin.f64 x))))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
Outputs
2
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 2)
(fma.f64 -1/2 (*.f64 eps eps) 2)
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 2))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) 2))
(fma.f64 -1/2 (*.f64 eps eps) (fma.f64 1/24 (pow.f64 eps 4) 2))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 2 (*.f64 -1/720 (pow.f64 eps 6)))))
(fma.f64 1/24 (pow.f64 eps 4) (+.f64 (fma.f64 -1/2 (*.f64 eps eps) 2) (*.f64 -1/720 (pow.f64 eps 6))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) 2)))
(fma.f64 -1/2 (*.f64 eps eps) (fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/720 (pow.f64 eps 6) 2)))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (*.f64 -1/3 (pow.f64 eps 4)))
(+.f64 (*.f64 eps eps) (*.f64 (pow.f64 eps 4) -1/3))
(fma.f64 eps eps (*.f64 (pow.f64 eps 4) -1/3))
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/3 (pow.f64 eps 4)) (*.f64 2/45 (pow.f64 eps 6))))
(+.f64 (*.f64 eps eps) (fma.f64 -1/3 (pow.f64 eps 4) (*.f64 (pow.f64 eps 6) 2/45)))
(fma.f64 eps eps (fma.f64 (pow.f64 eps 4) -1/3 (*.f64 (pow.f64 eps 6) 2/45)))
(fma.f64 (pow.f64 eps 4) -1/3 (fma.f64 (pow.f64 eps 6) 2/45 (*.f64 eps eps)))
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/315 (pow.f64 eps 8)) (+.f64 (*.f64 -1/3 (pow.f64 eps 4)) (*.f64 2/45 (pow.f64 eps 6)))))
(+.f64 (*.f64 eps eps) (fma.f64 -1/315 (pow.f64 eps 8) (fma.f64 -1/3 (pow.f64 eps 4) (*.f64 (pow.f64 eps 6) 2/45))))
(fma.f64 eps eps (fma.f64 -1/315 (pow.f64 eps 8) (fma.f64 (pow.f64 eps 4) -1/3 (*.f64 (pow.f64 eps 6) 2/45))))
(fma.f64 eps eps (fma.f64 (pow.f64 eps 4) -1/3 (fma.f64 (pow.f64 eps 6) 2/45 (*.f64 -1/315 (pow.f64 eps 8)))))
(*.f64 -1 (*.f64 x (pow.f64 (sin.f64 eps) 2)))
(neg.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)))
(*.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 x))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 eps) 2))) (*.f64 -1 (*.f64 x (pow.f64 (sin.f64 eps) 2))))
(fma.f64 1/6 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 3)) (neg.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2))))
(*.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (neg.f64 x) (*.f64 1/6 (pow.f64 x 3))))
(*.f64 (pow.f64 (sin.f64 eps) 2) (fma.f64 1/6 (pow.f64 x 3) (neg.f64 x)))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 eps) 2))) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 x 5) (pow.f64 (sin.f64 eps) 2))) (*.f64 -1 (*.f64 x (pow.f64 (sin.f64 eps) 2)))))
(fma.f64 1/6 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 3)) (fma.f64 -1/120 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 5)) (neg.f64 (*.f64 x (pow.f64 (sin.f64 eps) 2)))))
(fma.f64 (*.f64 1/6 (pow.f64 x 3)) (pow.f64 (sin.f64 eps) 2) (*.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (neg.f64 x) (*.f64 -1/120 (pow.f64 x 5)))))
(*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) x))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 eps) 2))) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 x 5) (pow.f64 (sin.f64 eps) 2))) (+.f64 (*.f64 -1 (*.f64 x (pow.f64 (sin.f64 eps) 2))) (*.f64 1/5040 (*.f64 (pow.f64 x 7) (pow.f64 (sin.f64 eps) 2))))))
(fma.f64 1/6 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 3)) (fma.f64 -1/120 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 5)) (fma.f64 -1 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (*.f64 1/5040 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 7))))))
(+.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (neg.f64 x) (*.f64 1/5040 (pow.f64 x 7)))) (*.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1/120 (pow.f64 x 5)))))
(*.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (fma.f64 1/5040 (pow.f64 x 7) (neg.f64 x)) (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5)))))
(*.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (-.f64 (*.f64 1/5040 (pow.f64 x 7)) x) (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5)))))
(*.f64 -1 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)))
(neg.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (sin.f64 x)))
(*.f64 -1 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)))
(neg.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (sin.f64 x)))
(*.f64 -1 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)))
(neg.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (sin.f64 x)))
(*.f64 -1 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)))
(neg.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (sin.f64 x)))
(*.f64 -1 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)))
(neg.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (sin.f64 x)))
(*.f64 -1 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)))
(neg.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (sin.f64 x)))
(*.f64 -1 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)))
(neg.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (sin.f64 x)))
(*.f64 -1 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)))
(neg.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (sin.f64 x)))
(*.f64 -1 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(neg.f64 (*.f64 (*.f64 eps eps) (sin.f64 x)))
(*.f64 (*.f64 eps eps) (neg.f64 (sin.f64 x)))
(*.f64 eps (*.f64 eps (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 1/3 (*.f64 (pow.f64 eps 4) (sin.f64 x))))
(fma.f64 -1 (*.f64 (*.f64 eps eps) (sin.f64 x)) (*.f64 1/3 (*.f64 (pow.f64 eps 4) (sin.f64 x))))
(*.f64 (sin.f64 x) (+.f64 (neg.f64 (*.f64 eps eps)) (*.f64 (pow.f64 eps 4) 1/3)))
(*.f64 (sin.f64 x) (-.f64 (*.f64 (pow.f64 eps 4) 1/3) (*.f64 eps eps)))
(*.f64 (sin.f64 x) (fma.f64 (pow.f64 eps 4) 1/3 (*.f64 eps (neg.f64 eps))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (*.f64 -2/45 (*.f64 (pow.f64 eps 6) (sin.f64 x))) (*.f64 1/3 (*.f64 (pow.f64 eps 4) (sin.f64 x)))))
(fma.f64 -1 (*.f64 (*.f64 eps eps) (sin.f64 x)) (fma.f64 -2/45 (*.f64 (pow.f64 eps 6) (sin.f64 x)) (*.f64 1/3 (*.f64 (pow.f64 eps 4) (sin.f64 x)))))
(-.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 (pow.f64 eps 4) 1/3) (*.f64 (pow.f64 eps 6) -2/45))) (*.f64 eps (*.f64 eps (sin.f64 x))))
(*.f64 (sin.f64 x) (-.f64 (fma.f64 (pow.f64 eps 4) 1/3 (*.f64 (pow.f64 eps 6) -2/45)) (*.f64 eps eps)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (*.f64 1/315 (*.f64 (pow.f64 eps 8) (sin.f64 x))) (+.f64 (*.f64 -2/45 (*.f64 (pow.f64 eps 6) (sin.f64 x))) (*.f64 1/3 (*.f64 (pow.f64 eps 4) (sin.f64 x))))))
(fma.f64 -1 (*.f64 (*.f64 eps eps) (sin.f64 x)) (fma.f64 1/315 (*.f64 (pow.f64 eps 8) (sin.f64 x)) (fma.f64 -2/45 (*.f64 (pow.f64 eps 6) (sin.f64 x)) (*.f64 1/3 (*.f64 (pow.f64 eps 4) (sin.f64 x))))))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 (pow.f64 eps 4) 1/3) (*.f64 (pow.f64 eps 6) -2/45))) (*.f64 (sin.f64 x) (+.f64 (neg.f64 (*.f64 eps eps)) (*.f64 (pow.f64 eps 8) 1/315))))
(*.f64 (sin.f64 x) (+.f64 (fma.f64 (neg.f64 eps) eps (*.f64 (pow.f64 eps 8) 1/315)) (fma.f64 (pow.f64 eps 4) 1/3 (*.f64 (pow.f64 eps 6) -2/45))))
(*.f64 (sin.f64 x) (+.f64 (fma.f64 (pow.f64 eps 8) 1/315 (*.f64 (pow.f64 eps 6) -2/45)) (fma.f64 (pow.f64 eps 4) 1/3 (*.f64 eps (neg.f64 eps)))))
(*.f64 -1 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)))
(neg.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (sin.f64 x)))
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(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (sin.f64 x))) (+.f64 1 (cos.f64 eps)))
(*.f64 (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 eps))) (neg.f64 (pow.f64 (sin.f64 eps) 2)))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x))) (+.f64 1 (cos.f64 eps)))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (sin.f64 x))) (+.f64 1 (cos.f64 eps)))
(*.f64 (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 eps))) (neg.f64 (pow.f64 (sin.f64 eps) 2)))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x))) (+.f64 1 (cos.f64 eps)))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (sin.f64 x))) (+.f64 1 (cos.f64 eps)))
(*.f64 (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 eps))) (neg.f64 (pow.f64 (sin.f64 eps) 2)))

localize17.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 eps (*.f64 (*.f64 eps x) (*.f64 -1/2 eps)))
✓0.1b
(*.f64 (*.f64 eps x) (*.f64 -1/2 eps))
Compiler

Compiled 27 to 13 computations (51.9% saved)

series8.0ms (0%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(*.f64 (*.f64 eps x) (*.f64 -1/2 eps))
1.0ms
x
@0
(*.f64 (*.f64 eps x) (*.f64 -1/2 eps))
1.0ms
eps
@0
(*.f64 (*.f64 eps x) (*.f64 -1/2 eps))
1.0ms
eps
@inf
(*.f64 (*.f64 eps x) (*.f64 -1/2 eps))
1.0ms
x
@-inf
(*.f64 (*.f64 eps x) (*.f64 -1/2 eps))

rewrite99.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
934×pow1_binary64
869×add-log-exp_binary64
869×log1p-expm1-u_binary64
869×expm1-log1p-u_binary64
851×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0823
117421
2240821
Stop Event
1×node limit
Counts
2 → 51
Calls
Call 1
Inputs
(*.f64 (*.f64 eps x) (*.f64 -1/2 eps))
(+.f64 eps (*.f64 (*.f64 eps x) (*.f64 -1/2 eps)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 eps (*.f64 x (*.f64 eps -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (*.f64 x (*.f64 eps -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x (*.f64 eps -1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 eps (*.f64 x (*.f64 eps -1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 eps (*.f64 x (*.f64 eps -1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 eps (*.f64 x (*.f64 eps -1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 -1/2) eps) (*.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 eps (*.f64 x (*.f64 eps -1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 eps (*.f64 x (*.f64 eps -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 eps (*.f64 x (*.f64 eps -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 eps (*.f64 x (*.f64 eps -1/2)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 eps (*.f64 x (*.f64 eps -1/2)) eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 eps eps) (-.f64 eps (*.f64 eps (*.f64 x (*.f64 eps -1/2))))) (/.f64 (pow.f64 (*.f64 eps (*.f64 x (*.f64 eps -1/2))) 2) (-.f64 eps (*.f64 eps (*.f64 x (*.f64 eps -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (+.f64 (*.f64 x (*.f64 eps -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (+.f64 1 (*.f64 x (*.f64 eps -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 eps (*.f64 x (*.f64 eps -1/2)) eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 eps (*.f64 x (*.f64 eps -1/2)) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 eps (*.f64 x (*.f64 eps -1/2)) eps)) (pow.f64 (cbrt.f64 (fma.f64 eps (*.f64 x (*.f64 eps -1/2)) eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 eps (*.f64 x (*.f64 eps -1/2)) eps)) 2) (cbrt.f64 (fma.f64 eps (*.f64 x (*.f64 eps -1/2)) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 eps (*.f64 x (*.f64 eps -1/2)) eps)) (sqrt.f64 (fma.f64 eps (*.f64 x (*.f64 eps -1/2)) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (*.f64 x (*.f64 eps -1/2))) 3)) (/.f64 1 (fma.f64 eps eps (*.f64 (*.f64 eps (*.f64 x (*.f64 eps -1/2))) (-.f64 (*.f64 eps (*.f64 x (*.f64 eps -1/2))) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 eps eps) (pow.f64 (*.f64 eps (*.f64 x (*.f64 eps -1/2))) 2)) (/.f64 1 (-.f64 eps (*.f64 eps (*.f64 x (*.f64 eps -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x (*.f64 eps -1/2)) 1) eps)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 eps eps (*.f64 (*.f64 eps (*.f64 x (*.f64 eps -1/2))) (-.f64 (*.f64 eps (*.f64 x (*.f64 eps -1/2))) eps))) (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (*.f64 x (*.f64 eps -1/2))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 eps (*.f64 eps (*.f64 x (*.f64 eps -1/2)))) (-.f64 (*.f64 eps eps) (pow.f64 (*.f64 eps (*.f64 x (*.f64 eps -1/2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (*.f64 x (*.f64 eps -1/2))) 3)) (fma.f64 eps eps (*.f64 (*.f64 eps (*.f64 x (*.f64 eps -1/2))) (-.f64 (*.f64 eps (*.f64 x (*.f64 eps -1/2))) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (*.f64 x (*.f64 eps -1/2))) 3)) (+.f64 (pow.f64 (*.f64 eps (*.f64 x (*.f64 eps -1/2))) 2) (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 eps -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 eps eps) (pow.f64 (*.f64 eps (*.f64 x (*.f64 eps -1/2))) 2)) (-.f64 eps (*.f64 eps (*.f64 x (*.f64 eps -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (*.f64 x (*.f64 eps -1/2))) 3))) (neg.f64 (fma.f64 eps eps (*.f64 (*.f64 eps (*.f64 x (*.f64 eps -1/2))) (-.f64 (*.f64 eps (*.f64 x (*.f64 eps -1/2))) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 eps eps) (pow.f64 (*.f64 eps (*.f64 x (*.f64 eps -1/2))) 2))) (neg.f64 (-.f64 eps (*.f64 eps (*.f64 x (*.f64 eps -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 eps (*.f64 x (*.f64 eps -1/2))) 2) (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 x (*.f64 eps -1/2))) eps))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 eps (*.f64 x (*.f64 eps -1/2)) eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 eps (*.f64 x (*.f64 eps -1/2)) eps) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 eps (*.f64 x (*.f64 eps -1/2)) eps)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 eps (*.f64 x (*.f64 eps -1/2)) eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 eps (*.f64 x (*.f64 eps -1/2)) eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 eps (*.f64 x (*.f64 eps -1/2)) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 eps (*.f64 x (*.f64 eps -1/2)) eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 eps (*.f64 x (*.f64 eps -1/2)) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 eps (*.f64 x (*.f64 eps -1/2)) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 eps (*.f64 x (*.f64 eps -1/2)) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps (*.f64 x (*.f64 eps -1/2)) eps)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 eps x) (*.f64 eps -1/2) eps)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 eps -1/2) (*.f64 eps x) eps)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 eps (*.f64 eps (*.f64 x (*.f64 eps -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 eps (*.f64 x (*.f64 eps -1/2))) eps)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps) (*.f64 eps (*.f64 x (*.f64 eps -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x (*.f64 eps -1/2)))) 2) (cbrt.f64 (*.f64 eps (*.f64 x (*.f64 eps -1/2)))) eps)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 eps (*.f64 x (*.f64 eps -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 eps (*.f64 x (*.f64 eps -1/2)))) (sqrt.f64 (*.f64 eps (*.f64 x (*.f64 eps -1/2)))) eps)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (*.f64 eps -1/2)) eps eps)))))

simplify291.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
1080×sqr-pow_binary64
750×fma-def_binary64
634×fabs-mul_binary64
612×pow-sqr_binary64
612×cube-prod_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010480
120480
242480
394480
4247480
5850480
61392480
72127480
82357480
92536480
102744480
113080480
123422480
133796480
144255480
154864480
165572480
176430480
186854480
197168480
207478480
217556480
227592480
Stop Event
1×node limit
Counts
99 → 57
Calls
Call 1
Inputs
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
eps
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) eps)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) eps)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) eps)
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(+.f64 eps (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)))
(+.f64 eps (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)))
(+.f64 eps (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(+.f64 eps (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)))
(+.f64 eps (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)))
(+.f64 eps (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)))
eps
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) eps)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) eps)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) eps)
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(+.f64 eps (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)))
(+.f64 eps (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)))
(+.f64 eps (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(+.f64 eps (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)))
(+.f64 eps (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)))
(+.f64 eps (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)))
Outputs
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) x))
(*.f64 -1/2 (*.f64 eps (*.f64 eps x)))
(*.f64 eps (*.f64 x (*.f64 -1/2 eps)))
(*.f64 eps (*.f64 eps (*.f64 -1/2 x)))
(*.f64 (*.f64 -1/2 eps) (*.f64 eps x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) x))
(*.f64 -1/2 (*.f64 eps (*.f64 eps x)))
(*.f64 eps (*.f64 x (*.f64 -1/2 eps)))
(*.f64 eps (*.f64 eps (*.f64 -1/2 x)))
(*.f64 (*.f64 -1/2 eps) (*.f64 eps x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) x))
(*.f64 -1/2 (*.f64 eps (*.f64 eps x)))
(*.f64 eps (*.f64 x (*.f64 -1/2 eps)))
(*.f64 eps (*.f64 eps (*.f64 -1/2 x)))
(*.f64 (*.f64 -1/2 eps) (*.f64 eps x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) x))
(*.f64 -1/2 (*.f64 eps (*.f64 eps x)))
(*.f64 eps (*.f64 x (*.f64 -1/2 eps)))
(*.f64 eps (*.f64 eps (*.f64 -1/2 x)))
(*.f64 (*.f64 -1/2 eps) (*.f64 eps x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) x))
(*.f64 -1/2 (*.f64 eps (*.f64 eps x)))
(*.f64 eps (*.f64 x (*.f64 -1/2 eps)))
(*.f64 eps (*.f64 eps (*.f64 -1/2 x)))
(*.f64 (*.f64 -1/2 eps) (*.f64 eps x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) x))
(*.f64 -1/2 (*.f64 eps (*.f64 eps x)))
(*.f64 eps (*.f64 x (*.f64 -1/2 eps)))
(*.f64 eps (*.f64 eps (*.f64 -1/2 x)))
(*.f64 (*.f64 -1/2 eps) (*.f64 eps x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) x))
(*.f64 -1/2 (*.f64 eps (*.f64 eps x)))
(*.f64 eps (*.f64 x (*.f64 -1/2 eps)))
(*.f64 eps (*.f64 eps (*.f64 -1/2 x)))
(*.f64 (*.f64 -1/2 eps) (*.f64 eps x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) x))
(*.f64 -1/2 (*.f64 eps (*.f64 eps x)))
(*.f64 eps (*.f64 x (*.f64 -1/2 eps)))
(*.f64 eps (*.f64 eps (*.f64 -1/2 x)))
(*.f64 (*.f64 -1/2 eps) (*.f64 eps x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) x))
(*.f64 -1/2 (*.f64 eps (*.f64 eps x)))
(*.f64 eps (*.f64 x (*.f64 -1/2 eps)))
(*.f64 eps (*.f64 eps (*.f64 -1/2 x)))
(*.f64 (*.f64 -1/2 eps) (*.f64 eps x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) x))
(*.f64 -1/2 (*.f64 eps (*.f64 eps x)))
(*.f64 eps (*.f64 x (*.f64 -1/2 eps)))
(*.f64 eps (*.f64 eps (*.f64 -1/2 x)))
(*.f64 (*.f64 -1/2 eps) (*.f64 eps x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) x))
(*.f64 -1/2 (*.f64 eps (*.f64 eps x)))
(*.f64 eps (*.f64 x (*.f64 -1/2 eps)))
(*.f64 eps (*.f64 eps (*.f64 -1/2 x)))
(*.f64 (*.f64 -1/2 eps) (*.f64 eps x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) x))
(*.f64 -1/2 (*.f64 eps (*.f64 eps x)))
(*.f64 eps (*.f64 x (*.f64 -1/2 eps)))
(*.f64 eps (*.f64 eps (*.f64 -1/2 x)))
(*.f64 (*.f64 -1/2 eps) (*.f64 eps x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) x))
(*.f64 -1/2 (*.f64 eps (*.f64 eps x)))
(*.f64 eps (*.f64 x (*.f64 -1/2 eps)))
(*.f64 eps (*.f64 eps (*.f64 -1/2 x)))
(*.f64 (*.f64 -1/2 eps) (*.f64 eps x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) x))
(*.f64 -1/2 (*.f64 eps (*.f64 eps x)))
(*.f64 eps (*.f64 x (*.f64 -1/2 eps)))
(*.f64 eps (*.f64 eps (*.f64 -1/2 x)))
(*.f64 (*.f64 -1/2 eps) (*.f64 eps x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) x))
(*.f64 -1/2 (*.f64 eps (*.f64 eps x)))
(*.f64 eps (*.f64 x (*.f64 -1/2 eps)))
(*.f64 eps (*.f64 eps (*.f64 -1/2 x)))
(*.f64 (*.f64 -1/2 eps) (*.f64 eps x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) x))
(*.f64 -1/2 (*.f64 eps (*.f64 eps x)))
(*.f64 eps (*.f64 x (*.f64 -1/2 eps)))
(*.f64 eps (*.f64 eps (*.f64 -1/2 x)))
(*.f64 (*.f64 -1/2 eps) (*.f64 eps x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) x))
(*.f64 -1/2 (*.f64 eps (*.f64 eps x)))
(*.f64 eps (*.f64 x (*.f64 -1/2 eps)))
(*.f64 eps (*.f64 eps (*.f64 -1/2 x)))
(*.f64 (*.f64 -1/2 eps) (*.f64 eps x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) x))
(*.f64 -1/2 (*.f64 eps (*.f64 eps x)))
(*.f64 eps (*.f64 x (*.f64 -1/2 eps)))
(*.f64 eps (*.f64 eps (*.f64 -1/2 x)))
(*.f64 (*.f64 -1/2 eps) (*.f64 eps x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) x))
(*.f64 -1/2 (*.f64 eps (*.f64 eps x)))
(*.f64 eps (*.f64 x (*.f64 -1/2 eps)))
(*.f64 eps (*.f64 eps (*.f64 -1/2 x)))
(*.f64 (*.f64 -1/2 eps) (*.f64 eps x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) x))
(*.f64 -1/2 (*.f64 eps (*.f64 eps x)))
(*.f64 eps (*.f64 x (*.f64 -1/2 eps)))
(*.f64 eps (*.f64 eps (*.f64 -1/2 x)))
(*.f64 (*.f64 -1/2 eps) (*.f64 eps x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) x))
(*.f64 -1/2 (*.f64 eps (*.f64 eps x)))
(*.f64 eps (*.f64 x (*.f64 -1/2 eps)))
(*.f64 eps (*.f64 eps (*.f64 -1/2 x)))
(*.f64 (*.f64 -1/2 eps) (*.f64 eps x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) x))
(*.f64 -1/2 (*.f64 eps (*.f64 eps x)))
(*.f64 eps (*.f64 x (*.f64 -1/2 eps)))
(*.f64 eps (*.f64 eps (*.f64 -1/2 x)))
(*.f64 (*.f64 -1/2 eps) (*.f64 eps x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) x))
(*.f64 -1/2 (*.f64 eps (*.f64 eps x)))
(*.f64 eps (*.f64 x (*.f64 -1/2 eps)))
(*.f64 eps (*.f64 eps (*.f64 -1/2 x)))
(*.f64 (*.f64 -1/2 eps) (*.f64 eps x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) x))
(*.f64 -1/2 (*.f64 eps (*.f64 eps x)))
(*.f64 eps (*.f64 x (*.f64 -1/2 eps)))
(*.f64 eps (*.f64 eps (*.f64 -1/2 x)))
(*.f64 (*.f64 -1/2 eps) (*.f64 eps x))
eps
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) eps)
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) x) eps)
(fma.f64 -1/2 (*.f64 eps (*.f64 eps x)) eps)
(fma.f64 (*.f64 eps eps) (*.f64 -1/2 x) eps)
(*.f64 eps (fma.f64 -1/2 (*.f64 eps x) 1))
(*.f64 eps (fma.f64 eps (*.f64 -1/2 x) 1))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) eps)
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) x) eps)
(fma.f64 -1/2 (*.f64 eps (*.f64 eps x)) eps)
(fma.f64 (*.f64 eps eps) (*.f64 -1/2 x) eps)
(*.f64 eps (fma.f64 -1/2 (*.f64 eps x) 1))
(*.f64 eps (fma.f64 eps (*.f64 -1/2 x) 1))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) eps)
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) x) eps)
(fma.f64 -1/2 (*.f64 eps (*.f64 eps x)) eps)
(fma.f64 (*.f64 eps eps) (*.f64 -1/2 x) eps)
(*.f64 eps (fma.f64 -1/2 (*.f64 eps x) 1))
(*.f64 eps (fma.f64 eps (*.f64 -1/2 x) 1))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) x))
(*.f64 -1/2 (*.f64 eps (*.f64 eps x)))
(*.f64 eps (*.f64 x (*.f64 -1/2 eps)))
(*.f64 eps (*.f64 eps (*.f64 -1/2 x)))
(*.f64 (*.f64 -1/2 eps) (*.f64 eps x))
(+.f64 eps (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)))
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) x) eps)
(fma.f64 -1/2 (*.f64 eps (*.f64 eps x)) eps)
(fma.f64 (*.f64 eps eps) (*.f64 -1/2 x) eps)
(*.f64 eps (fma.f64 -1/2 (*.f64 eps x) 1))
(*.f64 eps (fma.f64 eps (*.f64 -1/2 x) 1))
(+.f64 eps (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)))
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) x) eps)
(fma.f64 -1/2 (*.f64 eps (*.f64 eps x)) eps)
(fma.f64 (*.f64 eps eps) (*.f64 -1/2 x) eps)
(*.f64 eps (fma.f64 -1/2 (*.f64 eps x) 1))
(*.f64 eps (fma.f64 eps (*.f64 -1/2 x) 1))
(+.f64 eps (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)))
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) x) eps)
(fma.f64 -1/2 (*.f64 eps (*.f64 eps x)) eps)
(fma.f64 (*.f64 eps eps) (*.f64 -1/2 x) eps)
(*.f64 eps (fma.f64 -1/2 (*.f64 eps x) 1))
(*.f64 eps (fma.f64 eps (*.f64 -1/2 x) 1))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) x))
(*.f64 -1/2 (*.f64 eps (*.f64 eps x)))
(*.f64 eps (*.f64 x (*.f64 -1/2 eps)))
(*.f64 eps (*.f64 eps (*.f64 -1/2 x)))
(*.f64 (*.f64 -1/2 eps) (*.f64 eps x))
(+.f64 eps (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)))
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) x) eps)
(fma.f64 -1/2 (*.f64 eps (*.f64 eps x)) eps)
(fma.f64 (*.f64 eps eps) (*.f64 -1/2 x) eps)
(*.f64 eps (fma.f64 -1/2 (*.f64 eps x) 1))
(*.f64 eps (fma.f64 eps (*.f64 -1/2 x) 1))
(+.f64 eps (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)))
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) x) eps)
(fma.f64 -1/2 (*.f64 eps (*.f64 eps x)) eps)
(fma.f64 (*.f64 eps eps) (*.f64 -1/2 x) eps)
(*.f64 eps (fma.f64 -1/2 (*.f64 eps x) 1))
(*.f64 eps (fma.f64 eps (*.f64 -1/2 x) 1))
(+.f64 eps (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)))
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) x) eps)
(fma.f64 -1/2 (*.f64 eps (*.f64 eps x)) eps)
(fma.f64 (*.f64 eps eps) (*.f64 -1/2 x) eps)
(*.f64 eps (fma.f64 -1/2 (*.f64 eps x) 1))
(*.f64 eps (fma.f64 eps (*.f64 -1/2 x) 1))
eps
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) eps)
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) x) eps)
(fma.f64 -1/2 (*.f64 eps (*.f64 eps x)) eps)
(fma.f64 (*.f64 eps eps) (*.f64 -1/2 x) eps)
(*.f64 eps (fma.f64 -1/2 (*.f64 eps x) 1))
(*.f64 eps (fma.f64 eps (*.f64 -1/2 x) 1))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) eps)
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) x) eps)
(fma.f64 -1/2 (*.f64 eps (*.f64 eps x)) eps)
(fma.f64 (*.f64 eps eps) (*.f64 -1/2 x) eps)
(*.f64 eps (fma.f64 -1/2 (*.f64 eps x) 1))
(*.f64 eps (fma.f64 eps (*.f64 -1/2 x) 1))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) eps)
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) x) eps)
(fma.f64 -1/2 (*.f64 eps (*.f64 eps x)) eps)
(fma.f64 (*.f64 eps eps) (*.f64 -1/2 x) eps)
(*.f64 eps (fma.f64 -1/2 (*.f64 eps x) 1))
(*.f64 eps (fma.f64 eps (*.f64 -1/2 x) 1))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) x))
(*.f64 -1/2 (*.f64 eps (*.f64 eps x)))
(*.f64 eps (*.f64 x (*.f64 -1/2 eps)))
(*.f64 eps (*.f64 eps (*.f64 -1/2 x)))
(*.f64 (*.f64 -1/2 eps) (*.f64 eps x))
(+.f64 eps (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)))
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) x) eps)
(fma.f64 -1/2 (*.f64 eps (*.f64 eps x)) eps)
(fma.f64 (*.f64 eps eps) (*.f64 -1/2 x) eps)
(*.f64 eps (fma.f64 -1/2 (*.f64 eps x) 1))
(*.f64 eps (fma.f64 eps (*.f64 -1/2 x) 1))
(+.f64 eps (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)))
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) x) eps)
(fma.f64 -1/2 (*.f64 eps (*.f64 eps x)) eps)
(fma.f64 (*.f64 eps eps) (*.f64 -1/2 x) eps)
(*.f64 eps (fma.f64 -1/2 (*.f64 eps x) 1))
(*.f64 eps (fma.f64 eps (*.f64 -1/2 x) 1))
(+.f64 eps (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)))
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) x) eps)
(fma.f64 -1/2 (*.f64 eps (*.f64 eps x)) eps)
(fma.f64 (*.f64 eps eps) (*.f64 -1/2 x) eps)
(*.f64 eps (fma.f64 -1/2 (*.f64 eps x) 1))
(*.f64 eps (fma.f64 eps (*.f64 -1/2 x) 1))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) x))
(*.f64 -1/2 (*.f64 eps (*.f64 eps x)))
(*.f64 eps (*.f64 x (*.f64 -1/2 eps)))
(*.f64 eps (*.f64 eps (*.f64 -1/2 x)))
(*.f64 (*.f64 -1/2 eps) (*.f64 eps x))
(+.f64 eps (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)))
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) x) eps)
(fma.f64 -1/2 (*.f64 eps (*.f64 eps x)) eps)
(fma.f64 (*.f64 eps eps) (*.f64 -1/2 x) eps)
(*.f64 eps (fma.f64 -1/2 (*.f64 eps x) 1))
(*.f64 eps (fma.f64 eps (*.f64 -1/2 x) 1))
(+.f64 eps (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)))
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) x) eps)
(fma.f64 -1/2 (*.f64 eps (*.f64 eps x)) eps)
(fma.f64 (*.f64 eps eps) (*.f64 -1/2 x) eps)
(*.f64 eps (fma.f64 -1/2 (*.f64 eps x) 1))
(*.f64 eps (fma.f64 eps (*.f64 -1/2 x) 1))
(+.f64 eps (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)))
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) x) eps)
(fma.f64 -1/2 (*.f64 eps (*.f64 eps x)) eps)
(fma.f64 (*.f64 eps eps) (*.f64 -1/2 x) eps)
(*.f64 eps (fma.f64 -1/2 (*.f64 eps x) 1))
(*.f64 eps (fma.f64 eps (*.f64 -1/2 x) 1))

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.7b
(cbrt.f64 (sin.f64 eps))
✓0.7b
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
Compiler

Compiled 14 to 7 computations (50% saved)

series14.0ms (0.1%)

Counts
2 → 16
Calls

6 calls:

TimeVariablePointExpression
7.0ms
eps
@-inf
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
3.0ms
eps
@inf
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
2.0ms
eps
@0
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
1.0ms
eps
@0
(cbrt.f64 (sin.f64 eps))
0.0ms
eps
@inf
(cbrt.f64 (sin.f64 eps))

rewrite44.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
442×pow1_binary64
434×add-sqr-sqrt_binary64
419×*-un-lft-identity_binary64
418×add-log-exp_binary64
418×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
11268
211808
Stop Event
1×node limit
Counts
2 → 39
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
(cbrt.f64 (sin.f64 eps))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sin.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 eps)) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (cbrt.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 eps))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 eps))) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 eps) 1/6) (*.f64 (pow.f64 (sin.f64 eps) 1/6) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 eps))) 2) 3) (cbrt.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (sin.f64 eps) 1/6) 3) (pow.f64 (pow.f64 (sin.f64 eps) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) 1) (cbrt.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 eps))) 2)) (cbrt.f64 (cbrt.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (pow.f64 (sin.f64 eps) 1/6)) (pow.f64 (sin.f64 eps) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 eps)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 eps)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (sin.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (sin.f64 eps))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (sin.f64 eps))) (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 eps))) 2) (cbrt.f64 (cbrt.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 eps) 1/6) (pow.f64 (sin.f64 eps) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) 1/3) (cbrt.f64 (cbrt.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (sin.f64 eps)) 1/3) (pow.f64 (sqrt.f64 (sin.f64 eps)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 eps) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 eps) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (sin.f64 eps))))))))

simplify168.0ms (1%)

Algorithm
1×egg-herbie
Rules
1290×sqr-pow_binary64
666×pow-sqr_binary64
625×cube-prod_binary64
560×fabs-mul_binary64
373×unpow3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0888
12164
22964
34064
46464
515764
652964
7119664
8128864
9142664
10158964
11182864
12215564
13258264
14309064
15369664
16442364
17474464
18503264
19525464
20543264
21551464
22645764
23743464
24790064
Stop Event
1×node limit
Counts
55 → 41
Calls
Call 1
Inputs
(*.f64 (pow.f64 1 1/3) (sin.f64 eps))
(*.f64 (pow.f64 1 1/3) (sin.f64 eps))
(*.f64 (pow.f64 1 1/3) (sin.f64 eps))
(*.f64 (pow.f64 1 1/3) (sin.f64 eps))
(*.f64 (pow.f64 1 1/3) (sin.f64 eps))
(*.f64 (pow.f64 1 1/3) (sin.f64 eps))
(*.f64 (pow.f64 1 1/3) (sin.f64 eps))
(*.f64 (pow.f64 1 1/3) (sin.f64 eps))
(pow.f64 (sin.f64 eps) 1/3)
(pow.f64 (sin.f64 eps) 1/3)
(pow.f64 (sin.f64 eps) 1/3)
(pow.f64 (sin.f64 eps) 1/3)
(pow.f64 (sin.f64 eps) 1/3)
(pow.f64 (sin.f64 eps) 1/3)
(pow.f64 (sin.f64 eps) 1/3)
(pow.f64 (sin.f64 eps) 1/3)
Outputs
(*.f64 (pow.f64 1 1/3) (sin.f64 eps))
(*.f64 1 (sin.f64 eps))
(sin.f64 eps)
(*.f64 (pow.f64 1 1/3) (sin.f64 eps))
(*.f64 1 (sin.f64 eps))
(sin.f64 eps)
(*.f64 (pow.f64 1 1/3) (sin.f64 eps))
(*.f64 1 (sin.f64 eps))
(sin.f64 eps)
(*.f64 (pow.f64 1 1/3) (sin.f64 eps))
(*.f64 1 (sin.f64 eps))
(sin.f64 eps)
(*.f64 (pow.f64 1 1/3) (sin.f64 eps))
(*.f64 1 (sin.f64 eps))
(sin.f64 eps)
(*.f64 (pow.f64 1 1/3) (sin.f64 eps))
(*.f64 1 (sin.f64 eps))
(sin.f64 eps)
(*.f64 (pow.f64 1 1/3) (sin.f64 eps))
(*.f64 1 (sin.f64 eps))
(sin.f64 eps)
(*.f64 (pow.f64 1 1/3) (sin.f64 eps))
(*.f64 1 (sin.f64 eps))
(sin.f64 eps)
(pow.f64 (sin.f64 eps) 1/3)
(cbrt.f64 (sin.f64 eps))
(pow.f64 (sin.f64 eps) 1/3)
(cbrt.f64 (sin.f64 eps))
(pow.f64 (sin.f64 eps) 1/3)
(cbrt.f64 (sin.f64 eps))
(pow.f64 (sin.f64 eps) 1/3)
(cbrt.f64 (sin.f64 eps))
(pow.f64 (sin.f64 eps) 1/3)
(cbrt.f64 (sin.f64 eps))
(pow.f64 (sin.f64 eps) 1/3)
(cbrt.f64 (sin.f64 eps))
(pow.f64 (sin.f64 eps) 1/3)
(cbrt.f64 (sin.f64 eps))
(pow.f64 (sin.f64 eps) 1/3)
(cbrt.f64 (sin.f64 eps))

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(-.f64 (sin.f64 eps) (sin.f64 x))
✓0.6b
(cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))
✓0.8b
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))) 3)
Compiler

Compiled 28 to 9 computations (67.9% saved)

series26.0ms (0.2%)

Counts
3 → 56
Calls

18 calls:

TimeVariablePointExpression
5.0ms
eps
@0
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))) 3)
4.0ms
x
@0
(-.f64 (sin.f64 eps) (sin.f64 x))
3.0ms
x
@0
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))) 3)
2.0ms
eps
@inf
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))) 3)
2.0ms
x
@inf
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))) 3)

rewrite101.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
582×prod-diff_binary64
414×log-prod_binary64
316×exp-prod_binary64
288×fma-def_binary64
247×pow-prod-down_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0926
120326
2247226
Stop Event
1×node limit
Counts
3 → 299
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))) 3)
(cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (sin.f64 eps) (sin.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 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 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 eps) (sin.f64 x)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) (fma.f64 -1 (sin.f64 x) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (sin.f64 eps) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 eps) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 eps) (sin.f64 x)) (pow.f64 (sin.f64 eps) 2))) (/.f64 (pow.f64 (sin.f64 x) 3) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 eps) (sin.f64 x)) (pow.f64 (sin.f64 eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (sin.f64 eps) (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (sin.f64 eps) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (sin.f64 eps) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))) 2) (cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))) (sqrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 1/6) (pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sin.f64 (*.f64 (-.f64 eps x) 1/2)) (cos.f64 (*.f64 (+.f64 eps x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 (-.f64 eps x) 1/2)) (cos.f64 (*.f64 (+.f64 eps x) 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 eps) (sin.f64 x)) (pow.f64 (sin.f64 eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 (sin.f64 eps) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 5/6) (pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))) 2) 1) (cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))) (cbrt.f64 (cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))) 2) (cbrt.f64 (cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sin.f64 (*.f64 (-.f64 eps x) 1/2))) (cos.f64 (*.f64 (+.f64 eps x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 eps) (sin.f64 x)) (pow.f64 (sin.f64 eps) 2)) (-.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (sin.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (sin.f64 eps) (sin.f64 x)) (-.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (sin.f64 x) 3)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 eps) (sin.f64 x)) (pow.f64 (sin.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2)) (+.f64 (sin.f64 eps) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (sin.f64 x) 3))) (neg.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 eps) (sin.f64 x)) (pow.f64 (sin.f64 eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2))) (neg.f64 (+.f64 (sin.f64 eps) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (neg.f64 (sin.f64 x)) 3)) (+.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 (pow.f64 (neg.f64 (sin.f64 x)) 2) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (neg.f64 (sin.f64 x)) 2)) (-.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (sin.f64 eps))) (exp.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (sin.f64 eps)) (+.f64 1 (expm1.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (sin.f64 eps))) (+.f64 1 (expm1.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (sin.f64 eps))) (exp.f64 (neg.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (neg.f64 (sin.f64 x))) (+.f64 1 (expm1.f64 (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (sin.f64 eps) (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (sin.f64 eps) (sin.f64 x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (sin.f64 eps) (sin.f64 x))) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))) 3/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 eps) 1 (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 eps) 1 (*.f64 (neg.f64 (sin.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 1 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (sin.f64 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 eps) (sin.f64 x)) 1 (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 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 eps) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 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 eps) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))) 2) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sin.f64 eps) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sin.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (sin.f64 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 eps) (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 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simplify101.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
773×times-frac_binary64
432×associate-+l+_binary64
386×associate-+r+_binary64
383×distribute-rgt-in_binary64
381×distribute-lft-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02162135
16971872
223411796
364641790
Stop Event
1×node limit
Counts
355 → 225
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (sin.f64 x)))
(+.f64 (*.f64 eps (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (sin.f64 x) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (sin.f64 x) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))))) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (sin.f64 x))))
(+.f64 (*.f64 eps (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (sin.f64 x) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (sin.f64 x) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))))) (+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (sin.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (sin.f64 x) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (sin.f64 x) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) (cbrt.f64 -1)) (pow.f64 (*.f64 1 (sin.f64 x)) 1/3)) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (sin.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))))) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (sin.f64 x)))))
(+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 1 (sin.f64 x)) 1/3) (*.f64 (cbrt.f64 -1) (+.f64 (*.f64 2/27 (*.f64 (pow.f64 1 1/9) (/.f64 1 (sin.f64 x)))) (*.f64 -2/3 (*.f64 (/.f64 (+.f64 1/6 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))) (cbrt.f64 -1)) (pow.f64 (/.f64 1 (sin.f64 x)) 1/3)))))) (+.f64 (*.f64 1/3 (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (sin.f64 x) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (sin.f64 x) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (sin.f64 x) 2)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)))) (+.f64 (*.f64 -1/3 (*.f64 (+.f64 1/6 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))) (pow.f64 1 1/3))) (*.f64 -2/27 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))))) (pow.f64 eps 3)) (+.f64 (*.f64 eps (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (sin.f64 x) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (sin.f64 x) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))))) (+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (sin.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (sin.f64 x) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (sin.f64 x) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) (cbrt.f64 -1)) (pow.f64 (*.f64 1 (sin.f64 x)) 1/3)) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (sin.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))))) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (sin.f64 x))))))
(*.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) (pow.f64 1 1/3))
(*.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) (pow.f64 1 1/3))
(*.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) (pow.f64 1 1/3))
(*.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) (pow.f64 1 1/3))
(*.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) (pow.f64 1 1/3))
(*.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) (pow.f64 1 1/3))
(*.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) (pow.f64 1 1/3))
(*.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) (pow.f64 1 1/3))
(*.f64 (pow.f64 1 1/3) (sin.f64 eps))
(+.f64 (*.f64 (+.f64 (*.f64 -2/3 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9)) (*.f64 -1/3 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9))) x) (*.f64 (pow.f64 1 1/3) (sin.f64 eps)))
(+.f64 (*.f64 (+.f64 (*.f64 -1/9 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9)) (+.f64 (*.f64 2/9 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9)) (*.f64 (pow.f64 (*.f64 1 (sin.f64 eps)) 1/3) (+.f64 (*.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9)) (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9)))))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 -2/3 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9)) (*.f64 -1/3 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9))) x) (*.f64 (pow.f64 1 1/3) (sin.f64 eps))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/9 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9)) (+.f64 (*.f64 2/9 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9)) (*.f64 (pow.f64 (*.f64 1 (sin.f64 eps)) 1/3) (+.f64 (*.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9)) (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9)))))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (+.f64 (*.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9)) (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9))) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/9))) (+.f64 (*.f64 (pow.f64 (*.f64 1 (sin.f64 eps)) 1/3) (+.f64 (*.f64 2/27 (*.f64 (pow.f64 1 1/9) (/.f64 1 (sin.f64 eps)))) (*.f64 2/3 (*.f64 (-.f64 1/6 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/3))) (*.f64 -1/27 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/3)))) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/3))))) (+.f64 (*.f64 2/27 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/3))) (*.f64 1/3 (*.f64 (-.f64 1/6 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/3))) (*.f64 -1/27 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/3)))) (pow.f64 1 1/3)))))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (*.f64 -2/3 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9)) (*.f64 -1/3 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9))) x) (*.f64 (pow.f64 1 1/3) (sin.f64 eps)))))
(*.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) (pow.f64 1 1/3))
(*.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) (pow.f64 1 1/3))
(*.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) (pow.f64 1 1/3))
(*.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) (pow.f64 1 1/3))
(*.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) (pow.f64 1 1/3))
(*.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) (pow.f64 1 1/3))
(*.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) (pow.f64 1 1/3))
(*.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) (pow.f64 1 1/3))
(*.f64 (pow.f64 (*.f64 1 (sin.f64 x)) 1/3) (cbrt.f64 -1))
(+.f64 (*.f64 (pow.f64 (*.f64 1 (sin.f64 x)) 1/3) (cbrt.f64 -1)) (*.f64 1/3 (*.f64 eps (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (sin.f64 x) 2)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)))))
(+.f64 (*.f64 -1/9 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (sin.f64 x) 7)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3)))) (+.f64 (*.f64 (pow.f64 (*.f64 1 (sin.f64 x)) 1/3) (cbrt.f64 -1)) (*.f64 1/3 (*.f64 eps (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (sin.f64 x) 2)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))))))
(+.f64 (*.f64 -1/3 (*.f64 (/.f64 (*.f64 (+.f64 1/6 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))) (pow.f64 eps 3)) (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/3))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (sin.f64 x) 7)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3)))) (+.f64 (*.f64 (pow.f64 (*.f64 1 (sin.f64 x)) 1/3) (cbrt.f64 -1)) (*.f64 1/3 (*.f64 eps (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (sin.f64 x) 2)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)))))))
(pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 1/3)
(pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 1/3)
(pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 1/3)
(pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 1/3)
(pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 1/3)
(pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 1/3)
(pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 1/3)
(pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 1/3)
(pow.f64 (sin.f64 eps) 1/3)
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/9) x)) (pow.f64 (sin.f64 eps) 1/3))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/9) x)) (+.f64 (pow.f64 (sin.f64 eps) 1/3) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 7)) 1/9) (pow.f64 x 2)))))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/9) x)) (+.f64 (pow.f64 (sin.f64 eps) 1/3) (+.f64 (*.f64 1/3 (*.f64 (*.f64 (-.f64 1/6 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/3))) (*.f64 -1/27 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/3)))) (pow.f64 x 3)) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/3))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 7)) 1/9) (pow.f64 x 2))))))
(pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 1/3)
(pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 1/3)
(pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 1/3)
(pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 1/3)
(pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 1/3)
(pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 1/3)
(pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 1/3)
(pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 1/3)
(*.f64 -1 (sin.f64 x))
(+.f64 eps (*.f64 -1 (sin.f64 x)))
(+.f64 eps (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1/6 (pow.f64 eps 3))))
(+.f64 eps (+.f64 (*.f64 -1 (sin.f64 x)) (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 1/120 (pow.f64 eps 5)))))
(sin.f64 eps)
(+.f64 (*.f64 -1 x) (sin.f64 eps))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (sin.f64 eps)))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/120 (pow.f64 x 5)) (sin.f64 eps))))
Outputs
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (sin.f64 x)))
(neg.f64 (sin.f64 x))
(+.f64 (*.f64 eps (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (sin.f64 x) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (sin.f64 x) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))))) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (sin.f64 x))))
(fma.f64 eps (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 x) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 x) 4) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) 1) (neg.f64 (sin.f64 x)))
(-.f64 (*.f64 eps (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 x) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 x) 4) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)))) (sin.f64 x))
(-.f64 (*.f64 eps (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 x) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 x) 4) 1/18)) (cbrt.f64 (*.f64 -1 (cbrt.f64 -1))))) (sin.f64 x))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (cbrt.f64 -1))) eps) (*.f64 (pow.f64 (pow.f64 (sin.f64 x) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 x) 4) 1/18)) (neg.f64 (sin.f64 x)))
(+.f64 (*.f64 eps (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (sin.f64 x) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (sin.f64 x) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))))) (+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (sin.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (sin.f64 x) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (sin.f64 x) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) (cbrt.f64 -1)) (pow.f64 (*.f64 1 (sin.f64 x)) 1/3)) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (sin.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))))) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (sin.f64 x)))))
(fma.f64 eps (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 x) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 x) 4) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) 1) (fma.f64 (*.f64 eps eps) (fma.f64 2/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (fma.f64 (*.f64 (cbrt.f64 -1) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))) -1/9)) (cbrt.f64 (sin.f64 x)) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) -1/9))) (neg.f64 (sin.f64 x))))
(-.f64 (fma.f64 eps (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 x) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 x) 4) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) (*.f64 eps (*.f64 eps (fma.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (fma.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/18)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))) -1/9)) (*.f64 (cbrt.f64 -1) (cbrt.f64 (sin.f64 x))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) -1/9))))))) (sin.f64 x))
(-.f64 (*.f64 eps (+.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 x) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 x) 4) 1/18)) (cbrt.f64 (*.f64 -1 (cbrt.f64 -1)))) (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/18)) (cbrt.f64 (/.f64 -1 (cbrt.f64 -1)))) (*.f64 -1/9 (*.f64 (cbrt.f64 -1) (cbrt.f64 (sin.f64 x))))) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 1/9)) eps))) (sin.f64 x))
(fma.f64 eps (+.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 x) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 x) 4) 1/18)) (cbrt.f64 (neg.f64 (cbrt.f64 -1)))) (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/18)) (cbrt.f64 (/.f64 -1 (cbrt.f64 -1)))) (*.f64 -1/9 (*.f64 (cbrt.f64 -1) (cbrt.f64 (sin.f64 x))))) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 1/9)) eps)) (neg.f64 (sin.f64 x)))
(+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 1 (sin.f64 x)) 1/3) (*.f64 (cbrt.f64 -1) (+.f64 (*.f64 2/27 (*.f64 (pow.f64 1 1/9) (/.f64 1 (sin.f64 x)))) (*.f64 -2/3 (*.f64 (/.f64 (+.f64 1/6 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))) (cbrt.f64 -1)) (pow.f64 (/.f64 1 (sin.f64 x)) 1/3)))))) (+.f64 (*.f64 1/3 (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (sin.f64 x) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (sin.f64 x) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (sin.f64 x) 2)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)))) (+.f64 (*.f64 -1/3 (*.f64 (+.f64 1/6 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))) (pow.f64 1 1/3))) (*.f64 -2/27 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))))) (pow.f64 eps 3)) (+.f64 (*.f64 eps (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (sin.f64 x) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (sin.f64 x) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))))) (+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (sin.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (sin.f64 x) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (sin.f64 x) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) (cbrt.f64 -1)) (pow.f64 (*.f64 1 (sin.f64 x)) 1/3)) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (sin.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))))) (*.f64 -1 (*.f64 (pow.f64 1 1/3) (sin.f64 x))))))
(fma.f64 (fma.f64 (cbrt.f64 (sin.f64 x)) (*.f64 (cbrt.f64 -1) (fma.f64 2/27 (/.f64 1 (sin.f64 x)) (*.f64 -2/3 (*.f64 (/.f64 (+.f64 1/6 (+.f64 (*.f64 -2/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2))) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2))) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) 1/27))) (cbrt.f64 -1)) (cbrt.f64 (/.f64 1 (sin.f64 x))))))) (fma.f64 1/3 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))) -1/9) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (fma.f64 -1/3 (*.f64 1 (+.f64 1/6 (+.f64 (*.f64 -2/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2))) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2))) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) 1/27)))) (*.f64 -2/27 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2))) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))))) (pow.f64 eps 3) (fma.f64 eps (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 x) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 x) 4) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) 1) (fma.f64 (*.f64 eps eps) (fma.f64 2/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (fma.f64 (*.f64 (cbrt.f64 -1) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))) -1/9)) (cbrt.f64 (sin.f64 x)) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) -1/9))) (neg.f64 (sin.f64 x)))))
(fma.f64 (fma.f64 (*.f64 (cbrt.f64 -1) (cbrt.f64 (sin.f64 x))) (fma.f64 -2/3 (*.f64 (/.f64 (+.f64 1/6 (*.f64 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2))) (pow.f64 (cbrt.f64 -1) 2)) -5/27)) (cbrt.f64 -1)) (cbrt.f64 (/.f64 1 (sin.f64 x)))) (/.f64 2/27 (sin.f64 x))) (fma.f64 1/3 (*.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/18)) (*.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))) (fma.f64 (+.f64 1/6 (*.f64 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2))) (pow.f64 (cbrt.f64 -1) 2)) -5/27)) -1/3 (*.f64 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2))) (pow.f64 (cbrt.f64 -1) 2)) -2/27)))) (pow.f64 eps 3) (-.f64 (fma.f64 eps (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 x) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 x) 4) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) (*.f64 eps (*.f64 eps (fma.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (fma.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/18)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))) -1/9)) (*.f64 (cbrt.f64 -1) (cbrt.f64 (sin.f64 x))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) -1/9))))))) (sin.f64 x)))
(fma.f64 (fma.f64 (*.f64 (cbrt.f64 -1) (cbrt.f64 (sin.f64 x))) (fma.f64 -2/3 (*.f64 (/.f64 (+.f64 1/6 (/.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2))) -5/27) (pow.f64 (cbrt.f64 -1) 2))) (cbrt.f64 -1)) (cbrt.f64 (/.f64 1 (sin.f64 x)))) (/.f64 2/27 (sin.f64 x))) (fma.f64 1/3 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/18)) (cbrt.f64 (/.f64 -1 (cbrt.f64 -1)))) (*.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))) (fma.f64 (+.f64 1/6 (/.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2))) -5/27) (pow.f64 (cbrt.f64 -1) 2))) -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2))) (/.f64 -2/27 (pow.f64 (cbrt.f64 -1) 2)))))) (pow.f64 eps 3) (-.f64 (*.f64 eps (+.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 x) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 x) 4) 1/18)) (cbrt.f64 (*.f64 -1 (cbrt.f64 -1)))) (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/18)) (cbrt.f64 (/.f64 -1 (cbrt.f64 -1)))) (*.f64 -1/9 (*.f64 (cbrt.f64 -1) (cbrt.f64 (sin.f64 x))))) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 1/9)) eps))) (sin.f64 x)))
(fma.f64 (fma.f64 (*.f64 (cbrt.f64 -1) (cbrt.f64 (sin.f64 x))) (fma.f64 -2/3 (*.f64 (/.f64 (+.f64 1/6 (/.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2))) -5/27) (pow.f64 (cbrt.f64 -1) 2))) (cbrt.f64 -1)) (cbrt.f64 (/.f64 1 (sin.f64 x)))) (/.f64 2/27 (sin.f64 x))) (fma.f64 1/3 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/18)) (cbrt.f64 (/.f64 -1 (cbrt.f64 -1)))) (*.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))) (fma.f64 (+.f64 1/6 (/.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2))) -5/27) (pow.f64 (cbrt.f64 -1) 2))) -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2))) (/.f64 -2/27 (pow.f64 (cbrt.f64 -1) 2)))))) (pow.f64 eps 3) (fma.f64 eps (+.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 x) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 x) 4) 1/18)) (cbrt.f64 (neg.f64 (cbrt.f64 -1)))) (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/18)) (cbrt.f64 (/.f64 -1 (cbrt.f64 -1)))) (*.f64 -1/9 (*.f64 (cbrt.f64 -1) (cbrt.f64 (sin.f64 x))))) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 1/9)) eps)) (neg.f64 (sin.f64 x))))
(*.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) (pow.f64 1 1/3))
(*.f64 1 (-.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (sin.f64 eps) (sin.f64 x))
(*.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) (pow.f64 1 1/3))
(*.f64 1 (-.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (sin.f64 eps) (sin.f64 x))
(*.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) (pow.f64 1 1/3))
(*.f64 1 (-.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (sin.f64 eps) (sin.f64 x))
(*.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) (pow.f64 1 1/3))
(*.f64 1 (-.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (sin.f64 eps) (sin.f64 x))
(*.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) (pow.f64 1 1/3))
(*.f64 1 (-.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (sin.f64 eps) (sin.f64 x))
(*.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) (pow.f64 1 1/3))
(*.f64 1 (-.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (sin.f64 eps) (sin.f64 x))
(*.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) (pow.f64 1 1/3))
(*.f64 1 (-.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (sin.f64 eps) (sin.f64 x))
(*.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) (pow.f64 1 1/3))
(*.f64 1 (-.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (sin.f64 eps) (sin.f64 x))
(*.f64 (pow.f64 1 1/3) (sin.f64 eps))
(sin.f64 eps)
(+.f64 (*.f64 (+.f64 (*.f64 -2/3 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9)) (*.f64 -1/3 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9))) x) (*.f64 (pow.f64 1 1/3) (sin.f64 eps)))
(fma.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18)) -1) x (sin.f64 eps))
(fma.f64 x (*.f64 -1 (*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18))) (sin.f64 eps))
(fma.f64 x (neg.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18))) (sin.f64 eps))
(-.f64 (sin.f64 eps) (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18)) x))
(+.f64 (*.f64 (+.f64 (*.f64 -1/9 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9)) (+.f64 (*.f64 2/9 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9)) (*.f64 (pow.f64 (*.f64 1 (sin.f64 eps)) 1/3) (+.f64 (*.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9)) (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9)))))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 -2/3 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9)) (*.f64 -1/3 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9))) x) (*.f64 (pow.f64 1 1/3) (sin.f64 eps))))
(fma.f64 (fma.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (fma.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (*.f64 (cbrt.f64 (sin.f64 eps)) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18)) -1/9)))) (*.f64 x x) (fma.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18)) -1) x (sin.f64 eps)))
(fma.f64 (+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18)) (*.f64 -1/9 (cbrt.f64 (sin.f64 eps)))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) 1/9)) (*.f64 x x) (fma.f64 x (*.f64 -1 (*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18))) (sin.f64 eps)))
(fma.f64 (+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18)) (*.f64 -1/9 (cbrt.f64 (sin.f64 eps)))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) 1/9)) (*.f64 x x) (fma.f64 x (neg.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18))) (sin.f64 eps)))
(+.f64 (sin.f64 eps) (*.f64 x (-.f64 (*.f64 (+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18)) (*.f64 -1/9 (cbrt.f64 (sin.f64 eps)))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) 1/9)) x) (*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18)))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/9 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9)) (+.f64 (*.f64 2/9 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9)) (*.f64 (pow.f64 (*.f64 1 (sin.f64 eps)) 1/3) (+.f64 (*.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9)) (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9)))))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (+.f64 (*.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9)) (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9))) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/9))) (+.f64 (*.f64 (pow.f64 (*.f64 1 (sin.f64 eps)) 1/3) (+.f64 (*.f64 2/27 (*.f64 (pow.f64 1 1/9) (/.f64 1 (sin.f64 eps)))) (*.f64 2/3 (*.f64 (-.f64 1/6 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/3))) (*.f64 -1/27 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/3)))) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/3))))) (+.f64 (*.f64 2/27 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/3))) (*.f64 1/3 (*.f64 (-.f64 1/6 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/3))) (*.f64 -1/27 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/3)))) (pow.f64 1 1/3)))))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (*.f64 -2/3 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9)) (*.f64 -1/3 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9))) x) (*.f64 (pow.f64 1 1/3) (sin.f64 eps)))))
(fma.f64 (fma.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (fma.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (*.f64 (cbrt.f64 (sin.f64 eps)) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18)) -1/9)))) (*.f64 x x) (fma.f64 (fma.f64 -1/3 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18)) -1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18))) (fma.f64 (cbrt.f64 (sin.f64 eps)) (fma.f64 2/27 (/.f64 1 (sin.f64 eps)) (*.f64 2/3 (*.f64 (-.f64 1/6 (+.f64 (*.f64 2/9 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2))) -1/27))) (cbrt.f64 (/.f64 1 (sin.f64 eps)))))) (+.f64 (*.f64 2/27 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)))) (*.f64 1/3 (*.f64 1 (-.f64 1/6 (+.f64 (*.f64 2/9 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2))) -1/27)))))))) (pow.f64 x 3) (fma.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18)) -1) x (sin.f64 eps))))
(fma.f64 (+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18)) (*.f64 -1/9 (cbrt.f64 (sin.f64 eps)))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) 1/9)) (*.f64 x x) (fma.f64 (fma.f64 -1/3 (*.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18))) (fma.f64 (cbrt.f64 (sin.f64 eps)) (fma.f64 2/3 (*.f64 (-.f64 1/6 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2))) 5/27)) (cbrt.f64 (/.f64 1 (sin.f64 eps)))) (/.f64 2/27 (sin.f64 eps))) (fma.f64 1/3 (-.f64 1/6 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2))) 5/27)) (*.f64 2/27 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2))))))) (pow.f64 x 3) (fma.f64 x (*.f64 -1 (*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18))) (sin.f64 eps))))
(fma.f64 (+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18)) (*.f64 -1/9 (cbrt.f64 (sin.f64 eps)))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) 1/9)) (*.f64 x x) (fma.f64 (fma.f64 -1/3 (*.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18))) (fma.f64 (cbrt.f64 (sin.f64 eps)) (fma.f64 2/3 (*.f64 (+.f64 1/6 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2))) -5/27)) (cbrt.f64 (/.f64 1 (sin.f64 eps)))) (/.f64 2/27 (sin.f64 eps))) (fma.f64 1/3 (+.f64 1/6 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2))) -5/27)) (*.f64 2/27 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2))))))) (pow.f64 x 3) (fma.f64 x (neg.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18))) (sin.f64 eps))))
(fma.f64 (+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18)) (*.f64 -1/9 (cbrt.f64 (sin.f64 eps)))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) 1/9)) (*.f64 x x) (fma.f64 (fma.f64 -1/3 (*.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18))) (fma.f64 (cbrt.f64 (sin.f64 eps)) (fma.f64 2/3 (*.f64 (+.f64 1/6 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2))) -5/27)) (cbrt.f64 (/.f64 1 (sin.f64 eps)))) (/.f64 2/27 (sin.f64 eps))) (fma.f64 1/3 (+.f64 1/6 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2))) -5/27)) (*.f64 2/27 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2))))))) (pow.f64 x 3) (-.f64 (sin.f64 eps) (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18)) x))))
(*.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) (pow.f64 1 1/3))
(*.f64 1 (-.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (sin.f64 eps) (sin.f64 x))
(*.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) (pow.f64 1 1/3))
(*.f64 1 (-.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (sin.f64 eps) (sin.f64 x))
(*.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) (pow.f64 1 1/3))
(*.f64 1 (-.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (sin.f64 eps) (sin.f64 x))
(*.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) (pow.f64 1 1/3))
(*.f64 1 (-.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (sin.f64 eps) (sin.f64 x))
(*.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) (pow.f64 1 1/3))
(*.f64 1 (-.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (sin.f64 eps) (sin.f64 x))
(*.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) (pow.f64 1 1/3))
(*.f64 1 (-.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (sin.f64 eps) (sin.f64 x))
(*.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) (pow.f64 1 1/3))
(*.f64 1 (-.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (sin.f64 eps) (sin.f64 x))
(*.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) (pow.f64 1 1/3))
(*.f64 1 (-.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (sin.f64 eps) (sin.f64 x))
(*.f64 (pow.f64 (*.f64 1 (sin.f64 x)) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (sin.f64 x)))
(+.f64 (*.f64 (pow.f64 (*.f64 1 (sin.f64 x)) 1/3) (cbrt.f64 -1)) (*.f64 1/3 (*.f64 eps (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (sin.f64 x) 2)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)))))
(fma.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 -1) (*.f64 1/3 (*.f64 eps (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))))
(fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/18)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) eps)) (*.f64 (cbrt.f64 -1) (cbrt.f64 (sin.f64 x))))
(+.f64 (*.f64 -1/9 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (sin.f64 x) 7)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3)))) (+.f64 (*.f64 (pow.f64 (*.f64 1 (sin.f64 x)) 1/3) (cbrt.f64 -1)) (*.f64 1/3 (*.f64 eps (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (sin.f64 x) 2)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))))))
(fma.f64 -1/9 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 7)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))))) (fma.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 -1) (*.f64 1/3 (*.f64 eps (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))))))
(fma.f64 -1/9 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 7)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))))) (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/18)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) eps)) (*.f64 (cbrt.f64 -1) (cbrt.f64 (sin.f64 x)))))
(fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 7)) 1/18)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))) (*.f64 eps eps))) (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/18)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) eps)) (*.f64 (cbrt.f64 -1) (cbrt.f64 (sin.f64 x)))))
(+.f64 (*.f64 -1/3 (*.f64 (/.f64 (*.f64 (+.f64 1/6 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))) (pow.f64 eps 3)) (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/3))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 eps 2) (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (sin.f64 x) 7)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3)))) (+.f64 (*.f64 (pow.f64 (*.f64 1 (sin.f64 x)) 1/3) (cbrt.f64 -1)) (*.f64 1/3 (*.f64 eps (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (sin.f64 x) 2)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)))))))
(fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2))) (/.f64 (+.f64 1/6 (+.f64 (*.f64 -2/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2))) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2))) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) 1/27))) (/.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 eps 3)))) (fma.f64 -1/9 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 7)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))))) (fma.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 -1) (*.f64 1/3 (*.f64 eps (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))))))
(fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2))) (/.f64 (+.f64 1/6 (*.f64 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2))) (pow.f64 (cbrt.f64 -1) 2)) -5/27)) (/.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 eps 3)))) (fma.f64 -1/9 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 7)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))))) (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/18)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) eps)) (*.f64 (cbrt.f64 -1) (cbrt.f64 (sin.f64 x))))))
(fma.f64 -1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2))) (*.f64 (/.f64 (pow.f64 eps 3) (pow.f64 (cbrt.f64 -1) 2)) (+.f64 1/6 (/.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2))) -5/27) (pow.f64 (cbrt.f64 -1) 2))))) (fma.f64 -1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 7)) 1/18)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))) (*.f64 eps eps))) (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/18)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) eps)) (*.f64 (cbrt.f64 -1) (cbrt.f64 (sin.f64 x))))))
(pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 1/3)
(cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))
(pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 1/3)
(cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))
(pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 1/3)
(cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))
(pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 1/3)
(cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))
(pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 1/3)
(cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))
(pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 1/3)
(cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))
(pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 1/3)
(cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))
(pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 1/3)
(cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))
(pow.f64 (sin.f64 eps) 1/3)
(cbrt.f64 (sin.f64 eps))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/9) x)) (pow.f64 (sin.f64 eps) 1/3))
(fma.f64 -1/3 (*.f64 x (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18))) (cbrt.f64 (sin.f64 eps)))
(fma.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18))) x (cbrt.f64 (sin.f64 eps)))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/9) x)) (+.f64 (pow.f64 (sin.f64 eps) 1/3) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 7)) 1/9) (pow.f64 x 2)))))
(+.f64 (fma.f64 -1/3 (*.f64 x (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18))) (cbrt.f64 (sin.f64 eps))) (*.f64 -1/9 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 7)) 1/18)))))
(fma.f64 -1/3 (*.f64 x (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18))) (fma.f64 -1/9 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 7)) 1/18))) (cbrt.f64 (sin.f64 eps))))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/9) x)) (+.f64 (pow.f64 (sin.f64 eps) 1/3) (+.f64 (*.f64 1/3 (*.f64 (*.f64 (-.f64 1/6 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/3))) (*.f64 -1/27 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/3)))) (pow.f64 x 3)) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/3))) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 7)) 1/9) (pow.f64 x 2))))))
(+.f64 (fma.f64 -1/3 (*.f64 x (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18))) (cbrt.f64 (sin.f64 eps))) (fma.f64 1/3 (*.f64 (-.f64 1/6 (+.f64 (*.f64 2/9 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2))) -1/27))) (*.f64 (pow.f64 x 3) (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2))))) (*.f64 -1/9 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 7)) 1/18))))))
(+.f64 (fma.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18))) x (cbrt.f64 (sin.f64 eps))) (fma.f64 -1/9 (*.f64 (*.f64 x x) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 7)) 1/18))) (*.f64 (-.f64 1/6 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2))) 5/27)) (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2))) (pow.f64 x 3)) 1/3))))
(+.f64 (fma.f64 -1/3 (*.f64 x (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18))) (cbrt.f64 (sin.f64 eps))) (fma.f64 1/3 (*.f64 (+.f64 1/6 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2))) -5/27)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2))) (pow.f64 x 3))) (*.f64 (*.f64 x x) (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 7)) 1/18))))))
(pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 1/3)
(cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))
(pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 1/3)
(cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))
(pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 1/3)
(cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))
(pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 1/3)
(cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))
(pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 1/3)
(cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))
(pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 1/3)
(cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))
(pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 1/3)
(cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))
(pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 1/3)
(cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))
(*.f64 -1 (sin.f64 x))
(neg.f64 (sin.f64 x))
(+.f64 eps (*.f64 -1 (sin.f64 x)))
(+.f64 eps (neg.f64 (sin.f64 x)))
(-.f64 eps (sin.f64 x))
(+.f64 eps (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1/6 (pow.f64 eps 3))))
(+.f64 eps (fma.f64 -1 (sin.f64 x) (*.f64 (pow.f64 eps 3) -1/6)))
(+.f64 eps (fma.f64 (pow.f64 eps 3) -1/6 (neg.f64 (sin.f64 x))))
(+.f64 (-.f64 eps (sin.f64 x)) (*.f64 (pow.f64 eps 3) -1/6))
(fma.f64 (pow.f64 eps 3) -1/6 (-.f64 eps (sin.f64 x)))
(+.f64 eps (+.f64 (*.f64 -1 (sin.f64 x)) (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 1/120 (pow.f64 eps 5)))))
(+.f64 eps (fma.f64 -1 (sin.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) (*.f64 1/120 (pow.f64 eps 5)))))
(+.f64 eps (-.f64 (fma.f64 (pow.f64 eps 3) -1/6 (*.f64 1/120 (pow.f64 eps 5))) (sin.f64 x)))
(+.f64 (-.f64 eps (sin.f64 x)) (fma.f64 1/120 (pow.f64 eps 5) (*.f64 (pow.f64 eps 3) -1/6)))
(+.f64 (fma.f64 1/120 (pow.f64 eps 5) (*.f64 (pow.f64 eps 3) -1/6)) (-.f64 eps (sin.f64 x)))
(sin.f64 eps)
(+.f64 (*.f64 -1 x) (sin.f64 eps))
(fma.f64 -1 x (sin.f64 eps))
(-.f64 (sin.f64 eps) x)
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (sin.f64 eps)))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1 x (sin.f64 eps)))
(fma.f64 1/6 (pow.f64 x 3) (-.f64 (sin.f64 eps) x))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/120 (pow.f64 x 5)) (sin.f64 eps))))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1 x (fma.f64 -1/120 (pow.f64 x 5) (sin.f64 eps))))
(fma.f64 1/6 (pow.f64 x 3) (-.f64 (fma.f64 -1/120 (pow.f64 x 5) (sin.f64 eps)) x))

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))
0.1b
(*.f64 (cos.f64 x) (sin.f64 eps))
0.1b
(*.f64 (sin.f64 x) (cos.f64 eps))
✓2.1b
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
Compiler

Compiled 44 to 10 computations (77.3% saved)

series5.0ms (0%)

Counts
2 → 32
Calls

12 calls:

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

rewrite93.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
664×fma-def_binary64
634×log-prod_binary64
370×fma-neg_binary64
348×pow2_binary64
238×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01134
124724
2365524
Stop Event
1×node limit
Counts
2 → 221
Calls
Call 1
Inputs
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (sin.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))))))) (#(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 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (+.f64 (sin.f64 (-.f64 x eps)) (sin.f64 x))) (/.f64 (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.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 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 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))) 3)) (/.f64 1 (fma.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))) (-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))) (*.f64 (sin.f64 x) (cos.f64 eps))) (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (sin.f64 (-.f64 x eps)) (sin.f64 x))) 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(#(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 (neg.f64 (sin.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) 1))))))

simplify60.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
728×fma-neg_binary64
678×cancel-sign-sub-inv_binary64
640×associate-*l*_binary64
518×distribute-rgt-neg-in_binary64
508×associate-*r*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
065639
1189630
2498584
31595583
44918581
Stop Event
1×node limit
Counts
253 → 252
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 x) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 -1 x) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (sin.f64 eps))))
(*.f64 -1 (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1 (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x)))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 5) (cos.f64 x))) (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.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 x (*.f64 x -1/2)) (sin.f64 eps)))
(fma.f64 x (+.f64 (*.f64 x (*.f64 (sin.f64 eps) -1/2)) (cos.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 (+.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))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.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))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.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))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.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))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.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))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.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))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.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))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.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))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.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 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)) (*.f64 eps (cos.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 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 (*.f64 -1/2 (*.f64 eps eps)) (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)))))
(fma.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 (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 -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 -1/2 (*.f64 eps eps)) (*.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 eps (*.f64 eps -1/2)) (*.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 (sin.f64 eps) (cos.f64 x) (-.f64 (*.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))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.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))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.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))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.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))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.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))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.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))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.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))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.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)))
(sin.f64 eps)
(+.f64 (*.f64 -1 x) (sin.f64 eps))
(fma.f64 -1 x (sin.f64 eps))
(-.f64 (sin.f64 eps) x)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 -1 x) (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 -1 x (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (-.f64 (sin.f64 eps) x))
(fma.f64 (sin.f64 eps) (*.f64 x (*.f64 x -1/2)) (-.f64 (sin.f64 eps) x))
(-.f64 (fma.f64 (sin.f64 eps) (*.f64 x (*.f64 x -1/2)) (sin.f64 eps)) x)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1 x (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 1/6 (pow.f64 x 3) (-.f64 (sin.f64 eps) x)))
(fma.f64 (sin.f64 eps) (*.f64 x (*.f64 x -1/2)) (-.f64 (fma.f64 1/6 (pow.f64 x 3) (sin.f64 eps)) x))
(fma.f64 (sin.f64 eps) (*.f64 x (*.f64 x -1/2)) (fma.f64 1/6 (pow.f64 x 3) (-.f64 (sin.f64 eps) x)))
(fma.f64 (*.f64 x x) (+.f64 (*.f64 x 1/6) (*.f64 (sin.f64 eps) -1/2)) (-.f64 (sin.f64 eps) x))
(*.f64 -1 (sin.f64 x))
(neg.f64 (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1 (sin.f64 x)))
(fma.f64 (cos.f64 x) eps (neg.f64 (sin.f64 x)))
(-.f64 (*.f64 eps (cos.f64 x)) (sin.f64 x))
(fma.f64 eps (cos.f64 x) (neg.f64 (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x)))))
(fma.f64 (cos.f64 x) eps (fma.f64 -1 (sin.f64 x) (*.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)))))
(+.f64 (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(-.f64 (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 5) (cos.f64 x))) (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))))
(fma.f64 (cos.f64 x) eps (fma.f64 1/120 (*.f64 (cos.f64 x) (pow.f64 eps 5)) (fma.f64 -1 (sin.f64 x) (*.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3))))))
(+.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 1/120 (pow.f64 eps 5))) (sin.f64 x)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (+.f64 eps (*.f64 1/120 (pow.f64 eps 5))) (*.f64 -1/6 (pow.f64 eps 3)))) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 1/120 (pow.f64 eps 5)) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))) (sin.f64 x))

eval312.0ms (1.9%)

Compiler

Compiled 18865 to 8165 computations (56.7% saved)

prune170.0ms (1%)

Pruning

64 alts after pruning (56 fresh and 8 done)

PrunedKeptTotal
New84125866
Fresh163147
Picked011
Done279
Total85964923
Error
0.0b
Counts
923 → 64
Alt Table
Click to see full alt table
StatusErrorProgram
0.2b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))) (sin.f64 x)))
26.1b
(sin.f64 eps)
60.1b
(pow.f64 (cbrt.f64 (*.f64 -1 (sin.f64 x))) 3)
0.3b
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))
45.7b
(+.f64 eps (*.f64 (*.f64 x (*.f64 -1/2 x)) eps))
✓0.2b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
46.0b
(+.f64 eps (*.f64 (/.f64 (*.f64 (-.f64 (*.f64 eps eps) (*.f64 x x)) (*.f64 x -1/2)) (-.f64 eps x)) eps))
15.2b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1)) (sin.f64 x)))
34.0b
(+.f64 (sin.f64 x) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
57.7b
(sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 4))))
45.9b
(+.f64 eps (*.f64 -1/2 (*.f64 x (*.f64 eps (+.f64 eps x)))))
45.4b
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
36.1b
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
60.1b
(neg.f64 (sin.f64 x))
61.7b
(*.f64 eps (neg.f64 (cos.f64 x)))
60.8b
(+.f64 (-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
42.7b
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (fma.f64 (sqrt.f64 (neg.f64 (sin.f64 x))) (sqrt.f64 (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (sin.f64 eps))))
31.9b
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
35.9b
(-.f64 (fma.f64 (cos.f64 eps) x (sin.f64 eps)) x)
36.5b
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
0.2b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (/.f64 1 (/.f64 1 (+.f64 (cos.f64 eps) -1)))))
0.2b
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
53.2b
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 eps eps)))
✓44.9b
(+.f64 eps (*.f64 (*.f64 eps x) (*.f64 -1/2 eps)))
61.2b
0
44.1b
eps
38.4b
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 3))
41.8b
(pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (sin.f64 eps))) 1) 3)
38.5b
(*.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
29.9b
(log.f64 (exp.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))
✓21.8b
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
60.5b
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
✓36.6b
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))) 3)
59.6b
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (neg.f64 (sin.f64 x)))
0.2b
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (*.f64 (sin.f64 x) (neg.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 eps eps)))))) (+.f64 (cos.f64 eps) 1)))
21.9b
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 eps)) (neg.f64 (sin.f64 x))))
✓35.3b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
26.2b
(log1p.f64 (expm1.f64 (sin.f64 eps)))
46.3b
(*.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))
36.0b
(-.f64 (sin.f64 eps) (sin.f64 x))
29.5b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4))) (sin.f64 x)))
43.0b
(-.f64 (+.f64 1 (sin.f64 eps)) 1)
31.9b
(*.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps))
36.6b
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 3) (sin.f64 x))
36.7b
(cbrt.f64 (pow.f64 (sin.f64 eps) 3))
21.9b
(+.f64 (expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
46.3b
(pow.f64 (pow.f64 (pow.f64 (sin.f64 eps) 1/6) 2) 3)
0.2b
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (*.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 eps) 2))) (expm1.f64 (log1p.f64 (+.f64 (cos.f64 eps) 1)))))
43.0b
(log.f64 (exp.f64 (sin.f64 eps)))
✓21.8b
(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
1.5b
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))) 3)
43.3b
(log.f64 (exp.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
49.3b
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
47.0b
(sqrt.f64 (pow.f64 (sin.f64 eps) 2))
35.4b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
31.5b
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
0.2b
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
36.1b
(*.f64 (*.f64 (sin.f64 (*.f64 (-.f64 eps x) 1/2)) (cos.f64 (*.f64 (+.f64 eps x) 1/2))) 2)
28.7b
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) (*.f64 (sin.f64 eps) (+.f64 1 (*.f64 -1/2 (*.f64 x x)))))
49.8b
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 2))
✓26.9b
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
✓31.2b
(*.f64 (cos.f64 x) eps)
27.1b
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
36.4b
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
Compiler

Compiled 802 to 574 computations (28.4% saved)

regimes318.0ms (1.9%)

Counts
136 → 1
Calls
Call 1
Inputs
0
eps
eps
(+.f64 eps (*.f64 (*.f64 x (*.f64 -1/2 x)) eps))
(+.f64 eps (*.f64 (*.f64 eps x) (*.f64 -1/2 eps)))
(+.f64 eps (*.f64 -1/2 (*.f64 x (*.f64 eps (+.f64 eps x)))))
(+.f64 eps (*.f64 (*.f64 (*.f64 x -1/2) (+.f64 eps x)) eps))
(+.f64 eps (*.f64 (/.f64 (*.f64 (-.f64 (*.f64 eps eps) (*.f64 x x)) (*.f64 x -1/2)) (-.f64 eps x)) eps))
(sin.f64 eps)
(sin.f64 eps)
(sin.f64 eps)
(neg.f64 (sin.f64 x))
(sqrt.f64 (*.f64 eps eps))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (neg.f64 (cos.f64 x)))
(-.f64 (+.f64 1 (sin.f64 eps)) 1)
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
(*.f64 eps (*.f64 -1/2 (*.f64 eps (sin.f64 x))))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 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 (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)))))
(*.f64 (*.f64 (sin.f64 (*.f64 (-.f64 eps x) 1/2)) (cos.f64 (*.f64 (+.f64 eps x) 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)
(log1p.f64 (expm1.f64 (sin.f64 eps)))
(log.f64 (exp.f64 (sin.f64 eps)))
(cbrt.f64 (pow.f64 (sin.f64 eps) 3))
(sqrt.f64 (pow.f64 (sin.f64 eps) 2))
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) eps)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) eps)))
(pow.f64 (cbrt.f64 (*.f64 -1 (sin.f64 x))) 3)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
(*.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))
(-.f64 (fma.f64 (cos.f64 eps) x (sin.f64 eps)) x)
(pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (sin.f64 eps))) 1) 3)
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (neg.f64 (sin.f64 x)))
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 eps eps)))
(-.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 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) (*.f64 (sin.f64 eps) (+.f64 1 (*.f64 -1/2 (*.f64 x x)))))
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
(log.f64 (exp.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 3))
(pow.f64 (pow.f64 (pow.f64 (sin.f64 eps) 1/6) 2) 3)
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 2))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 3) (sin.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 3) (sin.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))) 3)
(-.f64 (pow.f64 (pow.f64 (sin.f64 x) 1/3) 3) (sin.f64 x))
(*.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (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))))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(*.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps))
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
(-.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)
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
(+.f64 (sin.f64 x) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(-.f64 (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps))))) (sin.f64 x))
(pow.f64 (cbrt.f64 (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))) 3)
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(-.f64 (fma.f64 (cos.f64 eps) x (*.f64 (sin.f64 eps) (fma.f64 -1/2 (*.f64 x x) 1))) x)
(-.f64 (fma.f64 x (+.f64 (cos.f64 eps) (*.f64 x (*.f64 (sin.f64 eps) -1/2))) (sin.f64 eps)) x)
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (*.f64 eps (sin.f64 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 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 eps (*.f64 -1/2 (*.f64 eps (sin.f64 x)))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)) 3)
(*.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))))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x)) (sin.f64 x))
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(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 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps)))) (exp.f64 (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))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (/.f64 1 (/.f64 1 (+.f64 (cos.f64 eps) -1)))))
(fma.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps) (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.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 (*.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4))) (sin.f64 x)))
(fma.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps) (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (*.f64 (sin.f64 x) (neg.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 eps eps)))))) (+.f64 (cos.f64 eps) 1)))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))
(log.f64 (exp.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) (sin.f64 x)))
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) 3))
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))) 3)
(+.f64 (expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 4))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))) (sin.f64 x)))
(pow.f64 (cbrt.f64 (-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))) 3)
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (*.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 eps) 2))) (+.f64 (cos.f64 eps) 1)))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (cos.f64 eps))))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (log.f64 (exp.f64 (*.f64 (sin.f64 x) (cos.f64 eps))))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) 3)) (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 (sin.f64 eps) (cos.f64 x) (*.f64 (*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1)) (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)))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (fma.f64 (sqrt.f64 (neg.f64 (sin.f64 x))) (sqrt.f64 (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (sin.f64 eps))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (*.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 eps) 2))) (expm1.f64 (log1p.f64 (+.f64 (cos.f64 eps) 1)))))
(fma.f64 (*.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (cos.f64 eps) 2))) (cbrt.f64 (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(-.f64 (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))) (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 x) (cos.f64 eps)) (fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 eps)) (neg.f64 (sin.f64 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)))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2)) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (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 (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))
(-.f64 (/.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)))))) (sin.f64 x))
Outputs
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (*.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 eps) 2))) (+.f64 (cos.f64 eps) 1)))
Calls

4 calls:

97.0ms
eps
74.0ms
x
55.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
48.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
ErrorSegmentsBranch
0.2b1x
0.2b1eps
0.2b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
0.2b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 1665 to 608 computations (63.5% saved)

regimes269.0ms (1.6%)

Counts
115 → 1
Calls
Call 1
Inputs
0
eps
eps
(+.f64 eps (*.f64 (*.f64 x (*.f64 -1/2 x)) eps))
(+.f64 eps (*.f64 (*.f64 eps x) (*.f64 -1/2 eps)))
(+.f64 eps (*.f64 -1/2 (*.f64 x (*.f64 eps (+.f64 eps x)))))
(+.f64 eps (*.f64 (*.f64 (*.f64 x -1/2) (+.f64 eps x)) eps))
(+.f64 eps (*.f64 (/.f64 (*.f64 (-.f64 (*.f64 eps eps) (*.f64 x x)) (*.f64 x -1/2)) (-.f64 eps x)) eps))
(sin.f64 eps)
(sin.f64 eps)
(sin.f64 eps)
(neg.f64 (sin.f64 x))
(sqrt.f64 (*.f64 eps eps))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (neg.f64 (cos.f64 x)))
(-.f64 (+.f64 1 (sin.f64 eps)) 1)
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
(*.f64 eps (*.f64 -1/2 (*.f64 eps (sin.f64 x))))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 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 (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)))))
(*.f64 (*.f64 (sin.f64 (*.f64 (-.f64 eps x) 1/2)) (cos.f64 (*.f64 (+.f64 eps x) 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)
(log1p.f64 (expm1.f64 (sin.f64 eps)))
(log.f64 (exp.f64 (sin.f64 eps)))
(cbrt.f64 (pow.f64 (sin.f64 eps) 3))
(sqrt.f64 (pow.f64 (sin.f64 eps) 2))
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) eps)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) eps)))
(pow.f64 (cbrt.f64 (*.f64 -1 (sin.f64 x))) 3)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
(*.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))
(-.f64 (fma.f64 (cos.f64 eps) x (sin.f64 eps)) x)
(pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (sin.f64 eps))) 1) 3)
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (neg.f64 (sin.f64 x)))
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 eps eps)))
(-.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 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) (*.f64 (sin.f64 eps) (+.f64 1 (*.f64 -1/2 (*.f64 x x)))))
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
(log.f64 (exp.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 3))
(pow.f64 (pow.f64 (pow.f64 (sin.f64 eps) 1/6) 2) 3)
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 2))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 3) (sin.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 3) (sin.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))) 3)
(-.f64 (pow.f64 (pow.f64 (sin.f64 x) 1/3) 3) (sin.f64 x))
(*.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (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))))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(*.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps))
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
(-.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)
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
(+.f64 (sin.f64 x) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(-.f64 (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps))))) (sin.f64 x))
(pow.f64 (cbrt.f64 (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))) 3)
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(-.f64 (fma.f64 (cos.f64 eps) x (*.f64 (sin.f64 eps) (fma.f64 -1/2 (*.f64 x x) 1))) x)
(-.f64 (fma.f64 x (+.f64 (cos.f64 eps) (*.f64 x (*.f64 (sin.f64 eps) -1/2))) (sin.f64 eps)) x)
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (*.f64 eps (sin.f64 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 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 eps (*.f64 -1/2 (*.f64 eps (sin.f64 x)))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)) 3)
(*.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))))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x)) (sin.f64 x))
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(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 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps)))) (exp.f64 (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))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (/.f64 1 (/.f64 1 (+.f64 (cos.f64 eps) -1)))))
(fma.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps) (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.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 (*.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4))) (sin.f64 x)))
(fma.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps) (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (*.f64 (sin.f64 x) (neg.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 eps eps)))))) (+.f64 (cos.f64 eps) 1)))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))
(log.f64 (exp.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) (sin.f64 x)))
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) 3))
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))) 3)
(+.f64 (expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(sqrt.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 4))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))) (sin.f64 x)))
(pow.f64 (cbrt.f64 (-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))) 3)
Outputs
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (*.f64 (sin.f64 x) (neg.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 eps eps)))))) (+.f64 (cos.f64 eps) 1)))
Calls

4 calls:

77.0ms
eps
68.0ms
x
48.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
41.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
ErrorSegmentsBranch
0.2b1x
0.2b1eps
0.2b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
0.2b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 1228 to 496 computations (59.6% saved)

regimes233.0ms (1.4%)

Counts
105 → 1
Calls
Call 1
Inputs
0
eps
eps
(+.f64 eps (*.f64 (*.f64 x (*.f64 -1/2 x)) eps))
(+.f64 eps (*.f64 (*.f64 eps x) (*.f64 -1/2 eps)))
(+.f64 eps (*.f64 -1/2 (*.f64 x (*.f64 eps (+.f64 eps x)))))
(+.f64 eps (*.f64 (*.f64 (*.f64 x -1/2) (+.f64 eps x)) eps))
(+.f64 eps (*.f64 (/.f64 (*.f64 (-.f64 (*.f64 eps eps) (*.f64 x x)) (*.f64 x -1/2)) (-.f64 eps x)) eps))
(sin.f64 eps)
(sin.f64 eps)
(sin.f64 eps)
(neg.f64 (sin.f64 x))
(sqrt.f64 (*.f64 eps eps))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (neg.f64 (cos.f64 x)))
(-.f64 (+.f64 1 (sin.f64 eps)) 1)
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
(*.f64 eps (*.f64 -1/2 (*.f64 eps (sin.f64 x))))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 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 (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)))))
(*.f64 (*.f64 (sin.f64 (*.f64 (-.f64 eps x) 1/2)) (cos.f64 (*.f64 (+.f64 eps x) 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)
(log1p.f64 (expm1.f64 (sin.f64 eps)))
(log.f64 (exp.f64 (sin.f64 eps)))
(cbrt.f64 (pow.f64 (sin.f64 eps) 3))
(sqrt.f64 (pow.f64 (sin.f64 eps) 2))
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) eps)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) eps)))
(pow.f64 (cbrt.f64 (*.f64 -1 (sin.f64 x))) 3)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
(*.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))
(-.f64 (fma.f64 (cos.f64 eps) x (sin.f64 eps)) x)
(pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (sin.f64 eps))) 1) 3)
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (neg.f64 (sin.f64 x)))
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 eps eps)))
(-.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 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) (*.f64 (sin.f64 eps) (+.f64 1 (*.f64 -1/2 (*.f64 x x)))))
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
(log.f64 (exp.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 3))
(pow.f64 (pow.f64 (pow.f64 (sin.f64 eps) 1/6) 2) 3)
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 2))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 3) (sin.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 3) (sin.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))) 3)
(-.f64 (pow.f64 (pow.f64 (sin.f64 x) 1/3) 3) (sin.f64 x))
(*.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (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))))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(*.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps))
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
(-.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)
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
(+.f64 (sin.f64 x) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(-.f64 (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps))))) (sin.f64 x))
(pow.f64 (cbrt.f64 (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))) 3)
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(-.f64 (fma.f64 (cos.f64 eps) x (*.f64 (sin.f64 eps) (fma.f64 -1/2 (*.f64 x x) 1))) x)
(-.f64 (fma.f64 x (+.f64 (cos.f64 eps) (*.f64 x (*.f64 (sin.f64 eps) -1/2))) (sin.f64 eps)) x)
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (*.f64 eps (sin.f64 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 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 eps (*.f64 -1/2 (*.f64 eps (sin.f64 x)))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)) 3)
(*.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))))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x)) (sin.f64 x))
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(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 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps)))) (exp.f64 (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))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (/.f64 1 (/.f64 1 (+.f64 (cos.f64 eps) -1)))))
(fma.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps) (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.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 (*.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4))) (sin.f64 x)))
(fma.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps) (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))
Outputs
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
Calls

4 calls:

67.0ms
eps
59.0ms
x
39.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
39.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
ErrorSegmentsBranch
0.2b1x
0.2b1eps
0.2b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
0.2b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 1068 to 436 computations (59.2% saved)

regimes206.0ms (1.2%)

Counts
92 → 1
Calls
Call 1
Inputs
0
eps
eps
(+.f64 eps (*.f64 (*.f64 x (*.f64 -1/2 x)) eps))
(+.f64 eps (*.f64 (*.f64 eps x) (*.f64 -1/2 eps)))
(+.f64 eps (*.f64 -1/2 (*.f64 x (*.f64 eps (+.f64 eps x)))))
(+.f64 eps (*.f64 (*.f64 (*.f64 x -1/2) (+.f64 eps x)) eps))
(+.f64 eps (*.f64 (/.f64 (*.f64 (-.f64 (*.f64 eps eps) (*.f64 x x)) (*.f64 x -1/2)) (-.f64 eps x)) eps))
(sin.f64 eps)
(sin.f64 eps)
(sin.f64 eps)
(neg.f64 (sin.f64 x))
(sqrt.f64 (*.f64 eps eps))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (neg.f64 (cos.f64 x)))
(-.f64 (+.f64 1 (sin.f64 eps)) 1)
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
(*.f64 eps (*.f64 -1/2 (*.f64 eps (sin.f64 x))))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 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 (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)))))
(*.f64 (*.f64 (sin.f64 (*.f64 (-.f64 eps x) 1/2)) (cos.f64 (*.f64 (+.f64 eps x) 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)
(log1p.f64 (expm1.f64 (sin.f64 eps)))
(log.f64 (exp.f64 (sin.f64 eps)))
(cbrt.f64 (pow.f64 (sin.f64 eps) 3))
(sqrt.f64 (pow.f64 (sin.f64 eps) 2))
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) eps)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) eps)))
(pow.f64 (cbrt.f64 (*.f64 -1 (sin.f64 x))) 3)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
(*.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))
(-.f64 (fma.f64 (cos.f64 eps) x (sin.f64 eps)) x)
(pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (sin.f64 eps))) 1) 3)
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (neg.f64 (sin.f64 x)))
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 eps eps)))
(-.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 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) (*.f64 (sin.f64 eps) (+.f64 1 (*.f64 -1/2 (*.f64 x x)))))
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
(log.f64 (exp.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 3))
(pow.f64 (pow.f64 (pow.f64 (sin.f64 eps) 1/6) 2) 3)
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 2))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 3) (sin.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 3) (sin.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))) 3)
(-.f64 (pow.f64 (pow.f64 (sin.f64 x) 1/3) 3) (sin.f64 x))
(*.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (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))))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(*.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps))
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
(-.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)
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
(+.f64 (sin.f64 x) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(-.f64 (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps))))) (sin.f64 x))
(pow.f64 (cbrt.f64 (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))) 3)
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(-.f64 (fma.f64 (cos.f64 eps) x (*.f64 (sin.f64 eps) (fma.f64 -1/2 (*.f64 x x) 1))) x)
(-.f64 (fma.f64 x (+.f64 (cos.f64 eps) (*.f64 x (*.f64 (sin.f64 eps) -1/2))) (sin.f64 eps)) x)
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (*.f64 eps (sin.f64 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 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 eps (*.f64 -1/2 (*.f64 eps (sin.f64 x)))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)) 3)
(*.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))))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x)) (sin.f64 x))
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
Outputs
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
Calls

4 calls:

64.0ms
x
47.0ms
eps
33.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
32.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
ErrorSegmentsBranch
0.2b1x
0.2b1eps
0.2b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
0.2b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 880 to 385 computations (56.3% saved)

regimes189.0ms (1.1%)

Counts
91 → 1
Calls
Call 1
Inputs
0
eps
eps
(+.f64 eps (*.f64 (*.f64 x (*.f64 -1/2 x)) eps))
(+.f64 eps (*.f64 (*.f64 eps x) (*.f64 -1/2 eps)))
(+.f64 eps (*.f64 -1/2 (*.f64 x (*.f64 eps (+.f64 eps x)))))
(+.f64 eps (*.f64 (*.f64 (*.f64 x -1/2) (+.f64 eps x)) eps))
(+.f64 eps (*.f64 (/.f64 (*.f64 (-.f64 (*.f64 eps eps) (*.f64 x x)) (*.f64 x -1/2)) (-.f64 eps x)) eps))
(sin.f64 eps)
(sin.f64 eps)
(sin.f64 eps)
(neg.f64 (sin.f64 x))
(sqrt.f64 (*.f64 eps eps))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (neg.f64 (cos.f64 x)))
(-.f64 (+.f64 1 (sin.f64 eps)) 1)
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
(*.f64 eps (*.f64 -1/2 (*.f64 eps (sin.f64 x))))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 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 (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)))))
(*.f64 (*.f64 (sin.f64 (*.f64 (-.f64 eps x) 1/2)) (cos.f64 (*.f64 (+.f64 eps x) 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)
(log1p.f64 (expm1.f64 (sin.f64 eps)))
(log.f64 (exp.f64 (sin.f64 eps)))
(cbrt.f64 (pow.f64 (sin.f64 eps) 3))
(sqrt.f64 (pow.f64 (sin.f64 eps) 2))
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) eps)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) eps)))
(pow.f64 (cbrt.f64 (*.f64 -1 (sin.f64 x))) 3)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
(*.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))
(-.f64 (fma.f64 (cos.f64 eps) x (sin.f64 eps)) x)
(pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (sin.f64 eps))) 1) 3)
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (neg.f64 (sin.f64 x)))
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 eps eps)))
(-.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 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) (*.f64 (sin.f64 eps) (+.f64 1 (*.f64 -1/2 (*.f64 x x)))))
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
(log.f64 (exp.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 3))
(pow.f64 (pow.f64 (pow.f64 (sin.f64 eps) 1/6) 2) 3)
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 2))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 3) (sin.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 3) (sin.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))) 3)
(-.f64 (pow.f64 (pow.f64 (sin.f64 x) 1/3) 3) (sin.f64 x))
(*.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (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))))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(*.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps))
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
(-.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)
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
(+.f64 (sin.f64 x) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(-.f64 (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps))))) (sin.f64 x))
(pow.f64 (cbrt.f64 (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))) 3)
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(-.f64 (fma.f64 (cos.f64 eps) x (*.f64 (sin.f64 eps) (fma.f64 -1/2 (*.f64 x x) 1))) x)
(-.f64 (fma.f64 x (+.f64 (cos.f64 eps) (*.f64 x (*.f64 (sin.f64 eps) -1/2))) (sin.f64 eps)) x)
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (*.f64 eps (sin.f64 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 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 eps (*.f64 -1/2 (*.f64 eps (sin.f64 x)))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)) 3)
(*.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))))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x)) (sin.f64 x))
Outputs
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
Calls

4 calls:

54.0ms
eps
42.0ms
x
34.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
34.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
ErrorSegmentsBranch
0.2b1x
0.2b1eps
0.2b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
0.2b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 868 to 382 computations (56% saved)

regimes406.0ms (2.4%)

Counts
81 → 3
Calls
Call 1
Inputs
0
eps
eps
(+.f64 eps (*.f64 (*.f64 x (*.f64 -1/2 x)) eps))
(+.f64 eps (*.f64 (*.f64 eps x) (*.f64 -1/2 eps)))
(+.f64 eps (*.f64 -1/2 (*.f64 x (*.f64 eps (+.f64 eps x)))))
(+.f64 eps (*.f64 (*.f64 (*.f64 x -1/2) (+.f64 eps x)) eps))
(+.f64 eps (*.f64 (/.f64 (*.f64 (-.f64 (*.f64 eps eps) (*.f64 x x)) (*.f64 x -1/2)) (-.f64 eps x)) eps))
(sin.f64 eps)
(sin.f64 eps)
(sin.f64 eps)
(neg.f64 (sin.f64 x))
(sqrt.f64 (*.f64 eps eps))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (neg.f64 (cos.f64 x)))
(-.f64 (+.f64 1 (sin.f64 eps)) 1)
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
(*.f64 eps (*.f64 -1/2 (*.f64 eps (sin.f64 x))))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 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 (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)))))
(*.f64 (*.f64 (sin.f64 (*.f64 (-.f64 eps x) 1/2)) (cos.f64 (*.f64 (+.f64 eps x) 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)
(log1p.f64 (expm1.f64 (sin.f64 eps)))
(log.f64 (exp.f64 (sin.f64 eps)))
(cbrt.f64 (pow.f64 (sin.f64 eps) 3))
(sqrt.f64 (pow.f64 (sin.f64 eps) 2))
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) eps)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) eps)))
(pow.f64 (cbrt.f64 (*.f64 -1 (sin.f64 x))) 3)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
(*.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))
(-.f64 (fma.f64 (cos.f64 eps) x (sin.f64 eps)) x)
(pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (sin.f64 eps))) 1) 3)
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (neg.f64 (sin.f64 x)))
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 eps eps)))
(-.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 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) (*.f64 (sin.f64 eps) (+.f64 1 (*.f64 -1/2 (*.f64 x x)))))
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
(log.f64 (exp.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 3))
(pow.f64 (pow.f64 (pow.f64 (sin.f64 eps) 1/6) 2) 3)
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 2))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 3) (sin.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 3) (sin.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))) 3)
(-.f64 (pow.f64 (pow.f64 (sin.f64 x) 1/3) 3) (sin.f64 x))
(*.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (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))))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(*.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps))
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
(-.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)
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
(+.f64 (sin.f64 x) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(-.f64 (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps))))) (sin.f64 x))
(pow.f64 (cbrt.f64 (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))) 3)
Outputs
(+.f64 (sin.f64 x) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(*.f64 (cos.f64 x) eps)
(+.f64 (sin.f64 x) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
Calls

4 calls:

127.0ms
x
113.0ms
eps
75.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
72.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
ErrorSegmentsBranch
14.1b3x
12.5b3eps
13.1b3(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
13.1b3(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 700 to 302 computations (56.9% saved)

bsearch110.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
55.0ms
9.96278517613511e-21
4.296291139395959e-19
55.0ms
-0.001140205663377386
-1.906803960405498e-18
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes402.0ms (2.4%)

Counts
78 → 3
Calls
Call 1
Inputs
0
eps
eps
(+.f64 eps (*.f64 (*.f64 x (*.f64 -1/2 x)) eps))
(+.f64 eps (*.f64 (*.f64 eps x) (*.f64 -1/2 eps)))
(+.f64 eps (*.f64 -1/2 (*.f64 x (*.f64 eps (+.f64 eps x)))))
(+.f64 eps (*.f64 (*.f64 (*.f64 x -1/2) (+.f64 eps x)) eps))
(+.f64 eps (*.f64 (/.f64 (*.f64 (-.f64 (*.f64 eps eps) (*.f64 x x)) (*.f64 x -1/2)) (-.f64 eps x)) eps))
(sin.f64 eps)
(sin.f64 eps)
(sin.f64 eps)
(neg.f64 (sin.f64 x))
(sqrt.f64 (*.f64 eps eps))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (neg.f64 (cos.f64 x)))
(-.f64 (+.f64 1 (sin.f64 eps)) 1)
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
(*.f64 eps (*.f64 -1/2 (*.f64 eps (sin.f64 x))))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 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 (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)))))
(*.f64 (*.f64 (sin.f64 (*.f64 (-.f64 eps x) 1/2)) (cos.f64 (*.f64 (+.f64 eps x) 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)
(log1p.f64 (expm1.f64 (sin.f64 eps)))
(log.f64 (exp.f64 (sin.f64 eps)))
(cbrt.f64 (pow.f64 (sin.f64 eps) 3))
(sqrt.f64 (pow.f64 (sin.f64 eps) 2))
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) eps)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) eps)))
(pow.f64 (cbrt.f64 (*.f64 -1 (sin.f64 x))) 3)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
(*.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))
(-.f64 (fma.f64 (cos.f64 eps) x (sin.f64 eps)) x)
(pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (sin.f64 eps))) 1) 3)
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (neg.f64 (sin.f64 x)))
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 eps eps)))
(-.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 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) (*.f64 (sin.f64 eps) (+.f64 1 (*.f64 -1/2 (*.f64 x x)))))
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
(log.f64 (exp.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 3))
(pow.f64 (pow.f64 (pow.f64 (sin.f64 eps) 1/6) 2) 3)
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 2))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 3) (sin.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 3) (sin.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))) 3)
(-.f64 (pow.f64 (pow.f64 (sin.f64 x) 1/3) 3) (sin.f64 x))
(*.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (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))))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(*.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps))
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
(-.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)
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
Outputs
(*.f64 (*.f64 (sin.f64 (*.f64 (-.f64 eps x) 1/2)) (cos.f64 (*.f64 (+.f64 eps x) 1/2))) 2)
(*.f64 (cos.f64 x) eps)
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
Calls

4 calls:

123.0ms
x
120.0ms
eps
74.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
65.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
ErrorSegmentsBranch
14.1b3x
13.2b3eps
13.5b3(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
13.5b3(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 666 to 287 computations (56.9% saved)

bsearch112.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
57.0ms
9.96278517613511e-21
4.296291139395959e-19
55.0ms
-0.001140205663377386
-1.906803960405498e-18
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes297.0ms (1.8%)

Counts
65 → 3
Calls
Call 1
Inputs
0
eps
eps
(+.f64 eps (*.f64 (*.f64 x (*.f64 -1/2 x)) eps))
(+.f64 eps (*.f64 (*.f64 eps x) (*.f64 -1/2 eps)))
(+.f64 eps (*.f64 -1/2 (*.f64 x (*.f64 eps (+.f64 eps x)))))
(+.f64 eps (*.f64 (*.f64 (*.f64 x -1/2) (+.f64 eps x)) eps))
(+.f64 eps (*.f64 (/.f64 (*.f64 (-.f64 (*.f64 eps eps) (*.f64 x x)) (*.f64 x -1/2)) (-.f64 eps x)) eps))
(sin.f64 eps)
(sin.f64 eps)
(sin.f64 eps)
(neg.f64 (sin.f64 x))
(sqrt.f64 (*.f64 eps eps))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (neg.f64 (cos.f64 x)))
(-.f64 (+.f64 1 (sin.f64 eps)) 1)
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
(*.f64 eps (*.f64 -1/2 (*.f64 eps (sin.f64 x))))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 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 (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)))))
(*.f64 (*.f64 (sin.f64 (*.f64 (-.f64 eps x) 1/2)) (cos.f64 (*.f64 (+.f64 eps x) 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)
(log1p.f64 (expm1.f64 (sin.f64 eps)))
(log.f64 (exp.f64 (sin.f64 eps)))
(cbrt.f64 (pow.f64 (sin.f64 eps) 3))
(sqrt.f64 (pow.f64 (sin.f64 eps) 2))
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) eps)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) eps)))
(pow.f64 (cbrt.f64 (*.f64 -1 (sin.f64 x))) 3)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
(*.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))
(-.f64 (fma.f64 (cos.f64 eps) x (sin.f64 eps)) x)
(pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (sin.f64 eps))) 1) 3)
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (neg.f64 (sin.f64 x)))
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 eps eps)))
(-.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 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) (*.f64 (sin.f64 eps) (+.f64 1 (*.f64 -1/2 (*.f64 x x)))))
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
(log.f64 (exp.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 3))
(pow.f64 (pow.f64 (pow.f64 (sin.f64 eps) 1/6) 2) 3)
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 2))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 3) (sin.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 3) (sin.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))) 3)
(-.f64 (pow.f64 (pow.f64 (sin.f64 x) 1/3) 3) (sin.f64 x))
(*.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
Outputs
(*.f64 (*.f64 (sin.f64 (*.f64 (-.f64 eps x) 1/2)) (cos.f64 (*.f64 (+.f64 eps x) 1/2))) 2)
(*.f64 (cos.f64 x) eps)
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Calls

4 calls:

97.0ms
x
77.0ms
eps
59.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
48.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
ErrorSegmentsBranch
14.1b3x
13.3b3eps
13.5b3(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
13.5b3(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 538 to 246 computations (54.3% saved)

bsearch110.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
55.0ms
9.96278517613511e-21
4.296291139395959e-19
55.0ms
-0.001140205663377386
-1.906803960405498e-18
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes133.0ms (0.8%)

Counts
29 → 3
Calls
Call 1
Inputs
0
eps
eps
(+.f64 eps (*.f64 (*.f64 x (*.f64 -1/2 x)) eps))
(+.f64 eps (*.f64 (*.f64 eps x) (*.f64 -1/2 eps)))
(+.f64 eps (*.f64 -1/2 (*.f64 x (*.f64 eps (+.f64 eps x)))))
(+.f64 eps (*.f64 (*.f64 (*.f64 x -1/2) (+.f64 eps x)) eps))
(+.f64 eps (*.f64 (/.f64 (*.f64 (-.f64 (*.f64 eps eps) (*.f64 x x)) (*.f64 x -1/2)) (-.f64 eps x)) eps))
(sin.f64 eps)
(sin.f64 eps)
(sin.f64 eps)
(neg.f64 (sin.f64 x))
(sqrt.f64 (*.f64 eps eps))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (neg.f64 (cos.f64 x)))
(-.f64 (+.f64 1 (sin.f64 eps)) 1)
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
(*.f64 eps (*.f64 -1/2 (*.f64 eps (sin.f64 x))))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 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 (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)))))
Outputs
(-.f64 (sin.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Calls

4 calls:

39.0ms
eps
37.0ms
x
26.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
24.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
ErrorSegmentsBranch
14.3b3x
13.4b3eps
13.5b3(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
13.5b3(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 220 to 106 computations (51.8% saved)

bsearch110.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
57.0ms
9.96278517613511e-21
4.296291139395959e-19
53.0ms
-0.001140205663377386
-1.906803960405498e-18
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes61.0ms (0.4%)

Counts
21 → 3
Calls
Call 1
Inputs
0
eps
eps
(+.f64 eps (*.f64 (*.f64 x (*.f64 -1/2 x)) eps))
(+.f64 eps (*.f64 (*.f64 eps x) (*.f64 -1/2 eps)))
(+.f64 eps (*.f64 -1/2 (*.f64 x (*.f64 eps (+.f64 eps x)))))
(+.f64 eps (*.f64 (*.f64 (*.f64 x -1/2) (+.f64 eps x)) eps))
(+.f64 eps (*.f64 (/.f64 (*.f64 (-.f64 (*.f64 eps eps) (*.f64 x x)) (*.f64 x -1/2)) (-.f64 eps x)) eps))
(sin.f64 eps)
(sin.f64 eps)
(sin.f64 eps)
(neg.f64 (sin.f64 x))
(sqrt.f64 (*.f64 eps eps))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (neg.f64 (cos.f64 x)))
(-.f64 (+.f64 1 (sin.f64 eps)) 1)
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
(*.f64 eps (*.f64 -1/2 (*.f64 eps (sin.f64 x))))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 eps) (sin.f64 x))
Outputs
(-.f64 (sin.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(-.f64 (sin.f64 eps) (sin.f64 x))
Calls

2 calls:

28.0ms
eps
28.0ms
x
Results
ErrorSegmentsBranch
14.5b3x
13.4b3eps
Compiler

Compiled 129 to 60 computations (53.5% saved)

bsearch114.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
58.0ms
5.68054905408696e-15
1.184198262560449e-10
56.0ms
-0.001140205663377386
-1.906803960405498e-18
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes62.0ms (0.4%)

Counts
20 → 3
Calls
Call 1
Inputs
0
eps
eps
(+.f64 eps (*.f64 (*.f64 x (*.f64 -1/2 x)) eps))
(+.f64 eps (*.f64 (*.f64 eps x) (*.f64 -1/2 eps)))
(+.f64 eps (*.f64 -1/2 (*.f64 x (*.f64 eps (+.f64 eps x)))))
(+.f64 eps (*.f64 (*.f64 (*.f64 x -1/2) (+.f64 eps x)) eps))
(+.f64 eps (*.f64 (/.f64 (*.f64 (-.f64 (*.f64 eps eps) (*.f64 x x)) (*.f64 x -1/2)) (-.f64 eps x)) eps))
(sin.f64 eps)
(sin.f64 eps)
(sin.f64 eps)
(neg.f64 (sin.f64 x))
(sqrt.f64 (*.f64 eps eps))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (neg.f64 (cos.f64 x)))
(-.f64 (+.f64 1 (sin.f64 eps)) 1)
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
(*.f64 eps (*.f64 -1/2 (*.f64 eps (sin.f64 x))))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 x) (sin.f64 x))
Outputs
(sin.f64 eps)
(*.f64 (cos.f64 x) eps)
(sin.f64 eps)
Calls

2 calls:

29.0ms
eps
28.0ms
x
Results
ErrorSegmentsBranch
14.5b3x
13.4b3eps
Compiler

Compiled 124 to 59 computations (52.4% saved)

bsearch111.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
57.0ms
9.96278517613511e-21
4.296291139395959e-19
54.0ms
-0.001140205663377386
-1.906803960405498e-18
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes18.0ms (0.1%)

Counts
13 → 1
Calls
Call 1
Inputs
0
eps
eps
(+.f64 eps (*.f64 (*.f64 x (*.f64 -1/2 x)) eps))
(+.f64 eps (*.f64 (*.f64 eps x) (*.f64 -1/2 eps)))
(+.f64 eps (*.f64 -1/2 (*.f64 x (*.f64 eps (+.f64 eps x)))))
(+.f64 eps (*.f64 (*.f64 (*.f64 x -1/2) (+.f64 eps x)) eps))
(+.f64 eps (*.f64 (/.f64 (*.f64 (-.f64 (*.f64 eps eps) (*.f64 x x)) (*.f64 x -1/2)) (-.f64 eps x)) eps))
(sin.f64 eps)
(sin.f64 eps)
(sin.f64 eps)
(neg.f64 (sin.f64 x))
(sqrt.f64 (*.f64 eps eps))
Outputs
(sin.f64 eps)
Calls

2 calls:

8.0ms
eps
8.0ms
x
Results
ErrorSegmentsBranch
26.1b1x
26.1b1eps
Compiler

Compiled 83 to 42 computations (49.4% saved)

regimes16.0ms (0.1%)

Accuracy

Total -18.5b remaining (-42%)

Threshold costs -18.5b (-42%)

Counts
8 → 1
Calls
Call 1
Inputs
0
eps
eps
(+.f64 eps (*.f64 (*.f64 x (*.f64 -1/2 x)) eps))
(+.f64 eps (*.f64 (*.f64 eps x) (*.f64 -1/2 eps)))
(+.f64 eps (*.f64 -1/2 (*.f64 x (*.f64 eps (+.f64 eps x)))))
(+.f64 eps (*.f64 (*.f64 (*.f64 x -1/2) (+.f64 eps x)) eps))
(+.f64 eps (*.f64 (/.f64 (*.f64 (-.f64 (*.f64 eps eps) (*.f64 x x)) (*.f64 x -1/2)) (-.f64 eps x)) eps))
Outputs
eps
Calls

2 calls:

6.0ms
x
5.0ms
eps
Results
ErrorSegmentsBranch
44.1b1x
44.1b1eps
Compiler

Compiled 70 to 38 computations (45.7% saved)

simplify23.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
22×*-commutative_binary64
21×+-commutative_binary64
18×sub-neg_binary64
13×distribute-rgt-neg-in_binary64
12×neg-sub0_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
069385
1106385
2145383
3178383
4204383
5220383
6224383
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (*.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 eps) 2))) (+.f64 (cos.f64 eps) 1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (*.f64 (sin.f64 x) (neg.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 eps eps)))))) (+.f64 (cos.f64 eps) 1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(if (<=.f64 eps -41080238405697/36028797018963968) (+.f64 (sin.f64 x) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))) (if (<=.f64 eps 6621406486054871/664613997892457936451903530140172288) (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))))
(if (<=.f64 eps -41080238405697/36028797018963968) (*.f64 (*.f64 (sin.f64 (*.f64 (-.f64 eps x) 1/2)) (cos.f64 (*.f64 (+.f64 eps x) 1/2))) 2) (if (<=.f64 eps 6621406486054871/664613997892457936451903530140172288) (*.f64 (cos.f64 x) eps) (-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))))
(if (<=.f64 eps -41080238405697/36028797018963968) (*.f64 (*.f64 (sin.f64 (*.f64 (-.f64 eps x) 1/2)) (cos.f64 (*.f64 (+.f64 eps x) 1/2))) 2) (if (<=.f64 eps 6621406486054871/664613997892457936451903530140172288) (*.f64 (cos.f64 x) eps) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(if (<=.f64 eps -41080238405697/36028797018963968) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 6621406486054871/664613997892457936451903530140172288) (*.f64 (cos.f64 x) eps) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(if (<=.f64 eps -41080238405697/36028797018963968) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 1800237854509809/316912650057057350374175801344) (*.f64 (cos.f64 x) eps) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -41080238405697/36028797018963968) (sin.f64 eps) (if (<=.f64 eps 6621406486054871/664613997892457936451903530140172288) (*.f64 (cos.f64 x) eps) (sin.f64 eps)))
(sin.f64 eps)
eps
0
Outputs
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (*.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 eps) 2))) (+.f64 (cos.f64 eps) 1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (*.f64 (sin.f64 x) (neg.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 eps eps)))))) (+.f64 (cos.f64 eps) 1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (*.f64 (sin.f64 x) (neg.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 (+.f64 eps eps)))))) (+.f64 (cos.f64 eps) 1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 1/2 (cos.f64 (+.f64 eps eps))) -1/2)) (+.f64 (cos.f64 eps) 1)))
(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 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.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 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(if (<=.f64 eps -41080238405697/36028797018963968) (+.f64 (sin.f64 x) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))) (if (<=.f64 eps 6621406486054871/664613997892457936451903530140172288) (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))))
(if (<=.f64 eps -41080238405697/36028797018963968) (+.f64 (sin.f64 x) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x))) (if (<=.f64 eps 6621406486054871/664613997892457936451903530140172288) (*.f64 eps (cos.f64 x)) (+.f64 (sin.f64 x) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))))
(if (<=.f64 eps -41080238405697/36028797018963968) (*.f64 (*.f64 (sin.f64 (*.f64 (-.f64 eps x) 1/2)) (cos.f64 (*.f64 (+.f64 eps x) 1/2))) 2) (if (<=.f64 eps 6621406486054871/664613997892457936451903530140172288) (*.f64 (cos.f64 x) eps) (-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))))
(if (<=.f64 eps -41080238405697/36028797018963968) (*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps x))) (cos.f64 (*.f64 1/2 (+.f64 eps x))))) (if (<=.f64 eps 6621406486054871/664613997892457936451903530140172288) (*.f64 eps (cos.f64 x)) (-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 eps x)))) (sin.f64 x))))
(if (<=.f64 eps -41080238405697/36028797018963968) (*.f64 (*.f64 (sin.f64 (*.f64 (-.f64 eps x) 1/2)) (cos.f64 (*.f64 (+.f64 eps x) 1/2))) 2) (if (<=.f64 eps 6621406486054871/664613997892457936451903530140172288) (*.f64 (cos.f64 x) eps) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(if (<=.f64 eps -41080238405697/36028797018963968) (*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps x))) (cos.f64 (*.f64 1/2 (+.f64 eps x))))) (if (<=.f64 eps 6621406486054871/664613997892457936451903530140172288) (*.f64 eps (cos.f64 x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(if (<=.f64 eps -41080238405697/36028797018963968) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 6621406486054871/664613997892457936451903530140172288) (*.f64 (cos.f64 x) eps) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(if (<=.f64 eps -41080238405697/36028797018963968) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 6621406486054871/664613997892457936451903530140172288) (*.f64 eps (cos.f64 x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(if (<=.f64 eps -41080238405697/36028797018963968) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 1800237854509809/316912650057057350374175801344) (*.f64 (cos.f64 x) eps) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -41080238405697/36028797018963968) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 1800237854509809/316912650057057350374175801344) (*.f64 eps (cos.f64 x)) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -41080238405697/36028797018963968) (sin.f64 eps) (if (<=.f64 eps 6621406486054871/664613997892457936451903530140172288) (*.f64 (cos.f64 x) eps) (sin.f64 eps)))
(if (<=.f64 eps -41080238405697/36028797018963968) (sin.f64 eps) (if (<=.f64 eps 6621406486054871/664613997892457936451903530140172288) (*.f64 eps (cos.f64 x)) (sin.f64 eps)))
(sin.f64 eps)
eps
0
Compiler

Compiled 274 to 175 computations (36.1% saved)

soundness99.0ms (0.6%)

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
Compiler

Compiled 137 to 91 computations (33.6% saved)

end117.0ms (0.7%)

Compiler

Compiled 248 to 103 computations (58.5% saved)

Profiling

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