Details

Time bar (total: 14.4s)

analyze1.0ms (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)

sample6.1s (42.6%)

Results
3.0s3680×body1024valid
2.0s1196×body2048valid
614.0ms1332×body512valid
476.0ms2046×body256valid
4.0ms2×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)

simplify13.0ms (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
39.1b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶39.1b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize31.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓1.2b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
✓3.0b
(sin.f64 (+.f64 x eps))
Compiler

Compiled 20 to 6 computations (70% saved)

series6.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite105.0ms (0.7%)

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)))))))

simplify84.0ms (0.6%)

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))

eval98.0ms (0.7%)

Compiler

Compiled 3642 to 1131 computations (68.9% saved)

prune85.0ms (0.6%)

Pruning

36 alts after pruning (36 fresh and 0 done)

PrunedKeptTotal
New16936205
Fresh000
Picked101
Done000
Total17036206
Error
0.1b
Counts
206 → 36
Alt Table
Click to see full alt table
StatusErrorProgram
▶39.5b
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
32.2b
(-.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))
44.0b
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
24.4b
(-.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))
47.4b
(-.f64 (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps))))) (sin.f64 x))
23.8b
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
47.3b
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
49.8b
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
29.7b
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x)))))
39.8b
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
▶29.4b
(*.f64 (cos.f64 x) eps)
61.1b
(-.f64 (sin.f64 x) (sin.f64 x))
47.2b
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps)))) (exp.f64 (sin.f64 x))))
30.7b
(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)))
23.8b
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
▶23.8b
(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
47.1b
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
40.1b
(-.f64 (fma.f64 x (+.f64 (cos.f64 eps) (*.f64 x (*.f64 (sin.f64 eps) -1/2))) (sin.f64 eps)) x)
50.0b
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
30.7b
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
45.9b
(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)))
39.3b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
▶23.8b
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
24.4b
(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)))
45.9b
(-.f64 (fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
39.1b
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
29.1b
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
40.2b
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
24.4b
(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)))
▶39.1b
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
40.0b
(*.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))))
44.0b
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3)) (sin.f64 x))
30.1b
(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)))))
39.3b
(-.f64 (sin.f64 eps) (sin.f64 x))
47.2b
(-.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1) (sin.f64 x))
23.8b
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
Compiler

Compiled 1118 to 734 computations (34.3% saved)

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series21.0ms (0.1%)

Counts
4 → 60
Calls

21 calls:

TimeVariablePointExpression
4.0ms
eps
@0
(cos.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))
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))
1.0ms
x
@-inf
(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))

rewrite95.0ms (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
01048
120748
2273328
Stop Event
1×node limit
Counts
4 → 175
Calls
Call 1
Inputs
(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))
(*.f64 (cos.f64 x) (sin.f64 eps))
(cos.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 0 (*.f64 (cos.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 x)) (sin.f64 eps))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 x)) (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 x)) (sin.f64 eps)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 x)) (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))) 1)))) (#(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 pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 eps))) (cos.f64 1)) (*.f64 (sin.f64 (exp.f64 (log1p.f64 eps))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 eps))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 eps)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 eps)) (cbrt.f64 (pow.f64 (cos.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cos.f64 eps) 2)) (cbrt.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 eps) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 eps) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 eps)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 eps)) 1))))))

simplify117.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
606×fma-def_binary64
492×unswap-sqr_binary64
484×*-commutative_binary64
352×associate-+l+_binary64
339×distribute-rgt-out_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
0981128
12851106
27791021
325501017
445111017
558961016
679661016
Stop Event
1×node limit
Counts
235 → 226
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 (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)))
(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))))))
1
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -1/720 (pow.f64 eps 6)))))
Outputs
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps))
(-.f64 (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 (+.f64 (cos.f64 eps) -1) x (*.f64 (sin.f64 eps) (fma.f64 -1/2 (*.f64 x x) 1)))
(-.f64 (fma.f64 (fma.f64 -1/2 (*.f64 x x) 1) (sin.f64 eps) (*.f64 (cos.f64 eps) x)) x)
(fma.f64 (fma.f64 -1/2 (*.f64 x x) 1) (sin.f64 eps) (-.f64 (*.f64 (cos.f64 eps) x) 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))))
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(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(sin.f64 eps)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (sin.f64 eps))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (sin.f64 eps))
(fma.f64 (*.f64 -1/2 (*.f64 x x)) (sin.f64 eps) (sin.f64 eps))
(*.f64 (sin.f64 eps) (fma.f64 -1/2 (*.f64 x x) 1))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 x 4) (sin.f64 eps))) (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 1/24 (*.f64 (sin.f64 eps) (pow.f64 x 4)) (sin.f64 eps)))
(+.f64 (sin.f64 eps) (*.f64 (sin.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 1/24 (pow.f64 x 4)))))
(fma.f64 (sin.f64 eps) (fma.f64 -1/2 (*.f64 x x) (*.f64 1/24 (pow.f64 x 4))) (sin.f64 eps))
(*.f64 (sin.f64 eps) (+.f64 1 (fma.f64 -1/2 (*.f64 x x) (*.f64 1/24 (pow.f64 x 4)))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 x 4) (sin.f64 eps))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 x 6) (sin.f64 eps))) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 1/24 (*.f64 (sin.f64 eps) (pow.f64 x 4)) (fma.f64 -1/720 (*.f64 (sin.f64 eps) (pow.f64 x 6)) (sin.f64 eps))))
(+.f64 (fma.f64 -1/720 (*.f64 (sin.f64 eps) (pow.f64 x 6)) (sin.f64 eps)) (*.f64 (sin.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 1/24 (pow.f64 x 4)))))
(fma.f64 (sin.f64 eps) (fma.f64 1/24 (pow.f64 x 4) (*.f64 -1/720 (pow.f64 x 6))) (*.f64 (sin.f64 eps) (fma.f64 -1/2 (*.f64 x x) 1)))
(*.f64 (sin.f64 eps) (+.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 1/24 (pow.f64 x 4))) (fma.f64 -1/720 (pow.f64 x 6) 1)))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))
(fma.f64 (cos.f64 x) eps (*.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3))))
(*.f64 (cos.f64 x) (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) eps))
(*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 5) (cos.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x)))))
(fma.f64 1/120 (*.f64 (cos.f64 x) (pow.f64 eps 5)) (fma.f64 (cos.f64 x) eps (*.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)))))
(fma.f64 1/120 (*.f64 (cos.f64 x) (pow.f64 eps 5)) (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) eps)))
(*.f64 (cos.f64 x) (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (fma.f64 1/120 (pow.f64 eps 5) eps)))
(*.f64 (cos.f64 x) (+.f64 (*.f64 1/120 (pow.f64 eps 5)) (fma.f64 -1/6 (pow.f64 eps 3) eps)))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 5) (cos.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 eps 7) (cos.f64 x))) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))))
(fma.f64 1/120 (*.f64 (cos.f64 x) (pow.f64 eps 5)) (fma.f64 (cos.f64 x) eps (fma.f64 -1/5040 (*.f64 (cos.f64 x) (pow.f64 eps 7)) (*.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3))))))
(+.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/5040 (pow.f64 eps 7)) (*.f64 -1/6 (pow.f64 eps 3)))) (*.f64 (cos.f64 x) (+.f64 (*.f64 1/120 (pow.f64 eps 5)) eps)))
(*.f64 (cos.f64 x) (+.f64 (fma.f64 -1/5040 (pow.f64 eps 7) (*.f64 -1/6 (pow.f64 eps 3))) (fma.f64 1/120 (pow.f64 eps 5) eps)))
(*.f64 (cos.f64 x) (+.f64 (fma.f64 -1/6 (pow.f64 eps 3) (*.f64 -1/5040 (pow.f64 eps 7))) (fma.f64 1/120 (pow.f64 eps 5) eps)))
1
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)
(fma.f64 -1/2 (*.f64 eps eps) 1)
(fma.f64 eps (*.f64 eps -1/2) 1)
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) 1))
(fma.f64 eps (*.f64 eps -1/2) (fma.f64 1/24 (pow.f64 eps 4) 1))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -1/720 (pow.f64 eps 6)))))
(fma.f64 1/24 (pow.f64 eps 4) (+.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (*.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) 1)))
(fma.f64 eps (*.f64 eps -1/2) (fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/720 (pow.f64 eps 6) 1)))

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiled 10 to 4 computations (60% saved)

series9.0ms (0.1%)

Counts
1 → 8
Calls

6 calls:

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

rewrite49.0ms (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)))))))

simplify131.0ms (0.9%)

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))

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
✓0.1b
(expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
1.2b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
3.0b
(sin.f64 (+.f64 x eps))
Compiler

Compiled 37 to 8 computations (78.4% saved)

series7.0ms (0%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
eps
@0
(expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
1.0ms
x
@0
(expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
0.0ms
x
@-inf
(expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
0.0ms
x
@inf
(expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
0.0ms
eps
@-inf
(expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))

rewrite80.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0924
119524
2295224
Stop Event
1×node limit
Counts
2 → 150
Calls
Call 1
Inputs
(expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
Outputs
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(+.f64 x (+.f64 x eps)) 1/2)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))))))

simplify88.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
842×fma-def_binary64
580×associate-*r*_binary64
548×associate-*l*_binary64
429×unsub-neg_binary64
418×associate-+l+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0122946
1375929
21177890
36408890
Stop Event
1×node limit
Counts
198 → 186
Calls
Call 1
Inputs
(-.f64 (exp.f64 (sin.f64 eps)) 1)
(-.f64 (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) (*.f64 x (exp.f64 (sin.f64 eps)))) (exp.f64 (sin.f64 eps))) 1)
(-.f64 (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) (*.f64 x (exp.f64 (sin.f64 eps)))) (+.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (-.f64 (cos.f64 eps) 1) 2)) (*.f64 -1/2 (sin.f64 eps))) (*.f64 (pow.f64 x 2) (exp.f64 (sin.f64 eps)))) (exp.f64 (sin.f64 eps)))) 1)
(-.f64 (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) (*.f64 x (exp.f64 (sin.f64 eps)))) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) (+.f64 1/6 (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (cos.f64 eps) 1) (sin.f64 eps))) (*.f64 1/6 (pow.f64 (-.f64 (cos.f64 eps) 1) 3))))) (*.f64 (pow.f64 x 3) (exp.f64 (sin.f64 eps)))) (+.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (-.f64 (cos.f64 eps) 1) 2)) (*.f64 -1/2 (sin.f64 eps))) (*.f64 (pow.f64 x 2) (exp.f64 (sin.f64 eps)))) (exp.f64 (sin.f64 eps))))) 1)
(-.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 1)
(-.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 1)
(-.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 1)
(-.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 1)
(-.f64 (exp.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))) 1)
(-.f64 (exp.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))) 1)
(-.f64 (exp.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))) 1)
(-.f64 (exp.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))) 1)
(*.f64 (cos.f64 x) eps)
(+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/2 (pow.f64 (cos.f64 x) 2)))) (*.f64 (cos.f64 x) eps))
(+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/2 (pow.f64 (cos.f64 x) 2)))) (+.f64 (*.f64 (cos.f64 x) eps) (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (pow.f64 (cos.f64 x) 3)) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 x) (sin.f64 x))) (*.f64 -1/6 (cos.f64 x)))))))
(+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/2 (pow.f64 (cos.f64 x) 2)))) (+.f64 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 -1/6 (pow.f64 (cos.f64 x) 2)) (+.f64 (*.f64 1/8 (pow.f64 (sin.f64 x) 2)) (+.f64 (*.f64 1/24 (sin.f64 x)) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 x))) (*.f64 1/24 (pow.f64 (cos.f64 x) 4))))))) (+.f64 (*.f64 (cos.f64 x) eps) (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (pow.f64 (cos.f64 x) 3)) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 x) (sin.f64 x))) (*.f64 -1/6 (cos.f64 x))))))))
(-.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 1)
(-.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 1)
(-.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 1)
(-.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 1)
(-.f64 (exp.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))) 1)
(-.f64 (exp.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))) 1)
(-.f64 (exp.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))) 1)
(-.f64 (exp.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))) 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 (+.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
(-.f64 (exp.f64 (sin.f64 eps)) 1)
(expm1.f64 (sin.f64 eps))
(-.f64 (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) (*.f64 x (exp.f64 (sin.f64 eps)))) (exp.f64 (sin.f64 eps))) 1)
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (exp.f64 (sin.f64 eps)) x)) (expm1.f64 (sin.f64 eps)))
(fma.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) (exp.f64 (sin.f64 eps)) (expm1.f64 (sin.f64 eps)))
(fma.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) x 1) (exp.f64 (sin.f64 eps)) -1)
(fma.f64 (exp.f64 (sin.f64 eps)) (fma.f64 (+.f64 (cos.f64 eps) -1) x 1) -1)
(-.f64 (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) (*.f64 x (exp.f64 (sin.f64 eps)))) (+.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (-.f64 (cos.f64 eps) 1) 2)) (*.f64 -1/2 (sin.f64 eps))) (*.f64 (pow.f64 x 2) (exp.f64 (sin.f64 eps)))) (exp.f64 (sin.f64 eps)))) 1)
(+.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (exp.f64 (sin.f64 eps)) x) (fma.f64 (fma.f64 1/2 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (*.f64 (sin.f64 eps) -1/2)) (*.f64 (exp.f64 (sin.f64 eps)) (*.f64 x x)) (exp.f64 (sin.f64 eps)))) -1)
(+.f64 (*.f64 (exp.f64 (sin.f64 eps)) (+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) (*.f64 (fma.f64 1/2 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (*.f64 (sin.f64 eps) -1/2)) (*.f64 x x)))) (expm1.f64 (sin.f64 eps)))
(fma.f64 (exp.f64 (sin.f64 eps)) (*.f64 x (+.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (fma.f64 1/2 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (*.f64 (sin.f64 eps) -1/2))))) (expm1.f64 (sin.f64 eps)))
(-.f64 (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) (*.f64 x (exp.f64 (sin.f64 eps)))) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) (+.f64 1/6 (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (cos.f64 eps) 1) (sin.f64 eps))) (*.f64 1/6 (pow.f64 (-.f64 (cos.f64 eps) 1) 3))))) (*.f64 (pow.f64 x 3) (exp.f64 (sin.f64 eps)))) (+.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (-.f64 (cos.f64 eps) 1) 2)) (*.f64 -1/2 (sin.f64 eps))) (*.f64 (pow.f64 x 2) (exp.f64 (sin.f64 eps)))) (exp.f64 (sin.f64 eps))))) 1)
(+.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (exp.f64 (sin.f64 eps)) x) (fma.f64 (+.f64 (fma.f64 -1/6 (cos.f64 eps) 1/6) (fma.f64 -1/2 (*.f64 (sin.f64 eps) (+.f64 (cos.f64 eps) -1)) (*.f64 1/6 (pow.f64 (+.f64 (cos.f64 eps) -1) 3)))) (*.f64 (exp.f64 (sin.f64 eps)) (pow.f64 x 3)) (fma.f64 (fma.f64 1/2 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (*.f64 (sin.f64 eps) -1/2)) (*.f64 (exp.f64 (sin.f64 eps)) (*.f64 x x)) (exp.f64 (sin.f64 eps))))) -1)
(fma.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (exp.f64 (sin.f64 eps)) x) (+.f64 (*.f64 (exp.f64 (sin.f64 eps)) (+.f64 (*.f64 (+.f64 (fma.f64 -1/2 (*.f64 (sin.f64 eps) (+.f64 (cos.f64 eps) -1)) (*.f64 1/6 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))) (fma.f64 (cos.f64 eps) -1/6 1/6)) (pow.f64 x 3)) (*.f64 (fma.f64 1/2 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (*.f64 (sin.f64 eps) -1/2)) (*.f64 x x)))) (expm1.f64 (sin.f64 eps))))
(+.f64 (*.f64 (exp.f64 (sin.f64 eps)) (+.f64 (fma.f64 (cos.f64 eps) x (neg.f64 x)) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (fma.f64 (cos.f64 eps) -1/6 (fma.f64 (sin.f64 eps) (fma.f64 (cos.f64 eps) -1/2 1/2) (fma.f64 1/6 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) 1/6)))) (fma.f64 1/2 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (*.f64 (sin.f64 eps) -1/2)))))) (expm1.f64 (sin.f64 eps)))
(-.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 1)
(expm1.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(-.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 1)
(expm1.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(-.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 1)
(expm1.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(-.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 1)
(expm1.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(-.f64 (exp.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))) 1)
(expm1.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(-.f64 (exp.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))) 1)
(expm1.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(-.f64 (exp.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))) 1)
(expm1.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(-.f64 (exp.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))) 1)
(expm1.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/2 (pow.f64 (cos.f64 x) 2)))) (*.f64 (cos.f64 x) eps))
(fma.f64 (*.f64 eps eps) (fma.f64 -1/2 (sin.f64 x) (*.f64 1/2 (pow.f64 (cos.f64 x) 2))) (*.f64 eps (cos.f64 x)))
(fma.f64 (*.f64 eps eps) (fma.f64 1/2 (pow.f64 (cos.f64 x) 2) (*.f64 -1/2 (sin.f64 x))) (*.f64 eps (cos.f64 x)))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (fma.f64 1/2 (pow.f64 (cos.f64 x) 2) (*.f64 -1/2 (sin.f64 x))))))
(+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/2 (pow.f64 (cos.f64 x) 2)))) (+.f64 (*.f64 (cos.f64 x) eps) (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (pow.f64 (cos.f64 x) 3)) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 x) (sin.f64 x))) (*.f64 -1/6 (cos.f64 x)))))))
(fma.f64 (*.f64 eps eps) (fma.f64 -1/2 (sin.f64 x) (*.f64 1/2 (pow.f64 (cos.f64 x) 2))) (fma.f64 (cos.f64 x) eps (*.f64 (pow.f64 eps 3) (fma.f64 1/6 (pow.f64 (cos.f64 x) 3) (fma.f64 -1/2 (*.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1/6 (cos.f64 x)))))))
(fma.f64 (*.f64 eps eps) (fma.f64 1/2 (pow.f64 (cos.f64 x) 2) (*.f64 -1/2 (sin.f64 x))) (fma.f64 (pow.f64 eps 3) (fma.f64 1/6 (pow.f64 (cos.f64 x) 3) (fma.f64 -1/6 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 -1/2 (cos.f64 x))))) (*.f64 eps (cos.f64 x))))
(fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps eps) (+.f64 (fma.f64 1/2 (pow.f64 (cos.f64 x) 2) (*.f64 -1/2 (sin.f64 x))) (*.f64 eps (fma.f64 1/6 (pow.f64 (cos.f64 x) 3) (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (sin.f64 x)) -1/6)))))))
(+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/2 (pow.f64 (cos.f64 x) 2)))) (+.f64 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 -1/6 (pow.f64 (cos.f64 x) 2)) (+.f64 (*.f64 1/8 (pow.f64 (sin.f64 x) 2)) (+.f64 (*.f64 1/24 (sin.f64 x)) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 x))) (*.f64 1/24 (pow.f64 (cos.f64 x) 4))))))) (+.f64 (*.f64 (cos.f64 x) eps) (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (pow.f64 (cos.f64 x) 3)) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 x) (sin.f64 x))) (*.f64 -1/6 (cos.f64 x))))))))
(fma.f64 (*.f64 eps eps) (fma.f64 -1/2 (sin.f64 x) (*.f64 1/2 (pow.f64 (cos.f64 x) 2))) (fma.f64 (pow.f64 eps 4) (fma.f64 -1/6 (pow.f64 (cos.f64 x) 2) (fma.f64 1/8 (pow.f64 (sin.f64 x) 2) (fma.f64 1/24 (sin.f64 x) (fma.f64 -1/4 (*.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (*.f64 1/24 (pow.f64 (cos.f64 x) 4)))))) (fma.f64 (cos.f64 x) eps (*.f64 (pow.f64 eps 3) (fma.f64 1/6 (pow.f64 (cos.f64 x) 3) (fma.f64 -1/2 (*.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1/6 (cos.f64 x))))))))
(fma.f64 (*.f64 eps eps) (fma.f64 1/2 (pow.f64 (cos.f64 x) 2) (*.f64 -1/2 (sin.f64 x))) (fma.f64 (pow.f64 eps 4) (fma.f64 -1/6 (pow.f64 (cos.f64 x) 2) (fma.f64 1/8 (pow.f64 (sin.f64 x) 2) (+.f64 (*.f64 1/24 (pow.f64 (cos.f64 x) 4)) (*.f64 (sin.f64 x) (+.f64 1/24 (*.f64 (pow.f64 (cos.f64 x) 2) -1/4)))))) (fma.f64 (pow.f64 eps 3) (fma.f64 1/6 (pow.f64 (cos.f64 x) 3) (fma.f64 -1/6 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 -1/2 (cos.f64 x))))) (*.f64 eps (cos.f64 x)))))
(fma.f64 (pow.f64 eps 4) (fma.f64 -1/6 (pow.f64 (cos.f64 x) 2) (fma.f64 (sin.f64 x) (+.f64 1/24 (*.f64 (pow.f64 (cos.f64 x) 2) -1/4)) (fma.f64 1/24 (pow.f64 (cos.f64 x) 4) (*.f64 1/8 (pow.f64 (sin.f64 x) 2))))) (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps eps) (+.f64 (fma.f64 1/2 (pow.f64 (cos.f64 x) 2) (*.f64 -1/2 (sin.f64 x))) (*.f64 eps (fma.f64 1/6 (pow.f64 (cos.f64 x) 3) (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (sin.f64 x)) -1/6))))))))
(-.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 1)
(expm1.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(-.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 1)
(expm1.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(-.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 1)
(expm1.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(-.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 1)
(expm1.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(-.f64 (exp.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))) 1)
(expm1.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(-.f64 (exp.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))) 1)
(expm1.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(-.f64 (exp.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))) 1)
(expm1.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(-.f64 (exp.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))) 1)
(expm1.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps))
(+.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 (sin.f64 eps) (*.f64 x (*.f64 x -1/2)) (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 (+.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 (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 (+.f64 (cos.f64 eps) -1) x (fma.f64 (pow.f64 x 3) (fma.f64 (cos.f64 eps) -1/6 1/6) (sin.f64 eps))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (cos.f64 x) eps (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
(fma.f64 eps (cos.f64 x) (*.f64 eps (*.f64 eps (*.f64 -1/2 (sin.f64 x)))))
(*.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 eps (*.f64 eps (*.f64 -1/2 (sin.f64 x)))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(fma.f64 eps (*.f64 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 (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 eps (*.f64 eps (*.f64 -1/2 (sin.f64 x)))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))))
(fma.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 (sin.f64 x) (+.f64 (*.f64 eps (*.f64 eps -1/2)) (*.f64 (pow.f64 eps 4) 1/24))))
(-.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))

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(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)
1.2b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
3.0b
(sin.f64 (+.f64 x eps))
Compiler

Compiled 39 to 10 computations (74.4% saved)

series33.0ms (0.2%)

Counts
2 → 40
Calls

12 calls:

TimeVariablePointExpression
10.0ms
eps
@0
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
6.0ms
eps
@-inf
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
5.0ms
x
@0
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
3.0ms
eps
@inf
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
3.0ms
x
@inf
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)

rewrite102.0ms (0.7%)

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
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simplify131.0ms (0.9%)

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))
(*.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 (*.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 (*.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)))

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 47 to 10 computations (78.7% saved)

series39.0ms (0.3%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
27.0ms
eps
@inf
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
1.0ms
x
@inf
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
1.0ms
x
@0
(*.f64 (sin.f64 x) (cos.f64 eps))
1.0ms
x
@-inf
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
1.0ms
eps
@-inf
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))

rewrite743.0ms (5.1%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01145
124625
2368325
Stop Event
1×node limit
Counts
3 → 249
Calls
Call 1
Inputs
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(*.f64 (sin.f64 x) (cos.f64 eps))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
Outputs
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(sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 eps) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 eps) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 eps)))))))

simplify156.0ms (1.1%)

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

Useful iterations: 5 (0.0ms)

IterNodesCost
0831214
12411202
26531133
321161121
436991121
548481119
669021119
Stop Event
1×node limit
Counts
321 → 295
Calls
Call 1
Inputs
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(*.f64 (cos.f64 eps) x)
(+.f64 (*.f64 (cos.f64 eps) x) (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))))
(+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (*.f64 1/120 (*.f64 (cos.f64 eps) (pow.f64 x 5)))))
(+.f64 (*.f64 -1/5040 (*.f64 (cos.f64 eps) (pow.f64 x 7))) (+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (*.f64 1/120 (*.f64 (cos.f64 eps) (pow.f64 x 5))))))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(sin.f64 x)
(+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (sin.f64 x) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 eps 6) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(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))
(-.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 (+.f64 (cos.f64 eps) -1) x (*.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) 1) (sin.f64 eps)))
(-.f64 (fma.f64 (sin.f64 eps) (*.f64 x (*.f64 x -1/2)) (fma.f64 (cos.f64 eps) x (sin.f64 eps))) x)
(fma.f64 x (+.f64 (cos.f64 eps) (*.f64 x (*.f64 (sin.f64 eps) -1/2))) (-.f64 (sin.f64 eps) x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (fma.f64 -1/6 (cos.f64 eps) 1/6) (pow.f64 x 3) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3) (sin.f64 eps))))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (sin.f64 eps) (*.f64 -1/2 (*.f64 x x)) (fma.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3) (sin.f64 eps))))
(fma.f64 (sin.f64 eps) (*.f64 x (*.f64 x -1/2)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3) (sin.f64 eps))))
(fma.f64 x (+.f64 (cos.f64 eps) (*.f64 x (*.f64 (sin.f64 eps) -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)))
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.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)))
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.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)))
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.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)))
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.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)))
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.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)))
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.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)))
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.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)))
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.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 (sin.f64 x) (*.f64 -1/2 (*.f64 eps 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 (sin.f64 x) (*.f64 eps eps)))))
(+.f64 (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(fma.f64 -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 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (+.f64 (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))))
(fma.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (*.f64 eps eps)))))
(fma.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 (sin.f64 x) (+.f64 (*.f64 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))
(-.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)))
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.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)))
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.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)))
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.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)))
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.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)))
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.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)))
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.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)))
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.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)))
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(*.f64 (cos.f64 eps) x)
(+.f64 (*.f64 (cos.f64 eps) x) (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))))
(fma.f64 (cos.f64 eps) x (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))))
(*.f64 (cos.f64 eps) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (*.f64 1/120 (*.f64 (cos.f64 eps) (pow.f64 x 5)))))
(fma.f64 (cos.f64 eps) x (fma.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3)) (*.f64 1/120 (*.f64 (cos.f64 eps) (pow.f64 x 5)))))
(fma.f64 (cos.f64 eps) x (fma.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3)) (*.f64 (cos.f64 eps) (*.f64 (pow.f64 x 5) 1/120))))
(fma.f64 (cos.f64 eps) (*.f64 -1/6 (pow.f64 x 3)) (*.f64 (cos.f64 eps) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
(*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 x (*.f64 1/120 (pow.f64 x 5)))))
(+.f64 (*.f64 -1/5040 (*.f64 (cos.f64 eps) (pow.f64 x 7))) (+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (*.f64 1/120 (*.f64 (cos.f64 eps) (pow.f64 x 5))))))
(fma.f64 -1/5040 (*.f64 (cos.f64 eps) (pow.f64 x 7)) (fma.f64 (cos.f64 eps) x (fma.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3)) (*.f64 1/120 (*.f64 (cos.f64 eps) (pow.f64 x 5))))))
(fma.f64 -1/5040 (*.f64 (cos.f64 eps) (pow.f64 x 7)) (fma.f64 (cos.f64 eps) x (fma.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3)) (*.f64 (cos.f64 eps) (*.f64 (pow.f64 x 5) 1/120)))))
(+.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 -1/6 (pow.f64 x 3)))) (*.f64 (cos.f64 eps) (+.f64 x (*.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 x (*.f64 -1/5040 (pow.f64 x 7))) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 -1/6 (pow.f64 x 3)))))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(sin.f64 x)
(+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(*.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 1) (sin.f64 x))
(*.f64 (sin.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 1) (sin.f64 x)))
(*.f64 (sin.f64 x) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (fma.f64 -1/2 (*.f64 eps eps) 1)))
(*.f64 (sin.f64 x) (+.f64 (*.f64 eps (*.f64 eps -1/2)) (fma.f64 1/24 (pow.f64 eps 4) 1)))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (sin.f64 x) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 eps 6) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (+.f64 (sin.f64 x) (fma.f64 -1/720 (*.f64 (sin.f64 x) (pow.f64 eps 6)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 -1/720 (pow.f64 eps 6)))) (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) 1) (sin.f64 x)))
(fma.f64 (sin.f64 x) (fma.f64 -1/720 (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 eps (*.f64 eps -1/2))) (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 eps (*.f64 eps -1/2)))))
(*.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 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 (sin.f64 eps) (*.f64 -1/2 (*.f64 x x)) (fma.f64 (cos.f64 eps) x (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (*.f64 x (*.f64 x -1/2)) (fma.f64 (cos.f64 eps) x (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (cos.f64 eps) x (fma.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3)) (sin.f64 eps))))
(+.f64 (*.f64 (cos.f64 eps) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) 1) (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)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(sin.f64 x)
(+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x))
(fma.f64 (cos.f64 x) eps (sin.f64 x))
(fma.f64 eps (cos.f64 x) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(fma.f64 eps (cos.f64 x) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 1) (sin.f64 x)))
(fma.f64 eps (cos.f64 x) (*.f64 (sin.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1)))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(+.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x)) (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)))))
(+.f64 (sin.f64 x) (+.f64 (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))))
(+.f64 (*.f64 (sin.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 (*.f64 (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)))

eval616.0ms (4.3%)

Compiler

Compiled 27194 to 9101 computations (66.5% saved)

prune288.0ms (2%)

Pruning

56 alts after pruning (53 fresh and 3 done)

PrunedKeptTotal
New1300471347
Fresh25631
Picked011
Done224
Total1327561383
Error
0.0b
Counts
1383 → 56
Alt Table
Click to see full alt table
StatusErrorProgram
30.1b
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
46.4b
(log1p.f64 (-.f64 (exp.f64 (sin.f64 eps)) 1))
44.5b
(+.f64 eps (+.f64 (*.f64 1/24 (*.f64 eps (pow.f64 x 4))) (*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))))
44.0b
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
39.1b
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
23.8b
(+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))
29.7b
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (*.f64 -1/2 (sin.f64 x)))))
▶23.8b
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
39.8b
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
30.4b
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x)))))) 3)
40.1b
(fma.f64 x (+.f64 (cos.f64 eps) (*.f64 x (*.f64 (sin.f64 eps) -1/2))) (-.f64 (sin.f64 eps) x))
42.4b
eps
0.6b
(fma.f64 (*.f64 (sin.f64 eps) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)) (fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x))))
32.0b
(log.f64 (*.f64 (exp.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))) (pow.f64 (exp.f64 (sin.f64 x)) (cos.f64 eps))))
40.2b
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
30.7b
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
52.5b
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
29.6b
(fma.f64 (*.f64 (cos.f64 x) (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sin.f64 eps)) (fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x))))
39.7b
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))) 3)
44.0b
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3)) (sin.f64 x))
45.9b
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))))
29.1b
(log1p.f64 (*.f64 (cos.f64 x) eps))
49.2b
(pow.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1/3) 3)
39.3b
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
53.7b
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2))
40.0b
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
✓29.4b
(*.f64 (cos.f64 x) eps)
23.9b
(-.f64 (+.f64 (log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
24.4b
(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)))
30.1b
(fma.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
39.6b
(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)
29.1b
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
24.9b
(-.f64 (+.f64 (log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (cos.f64 eps))))) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
47.1b
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
24.4b
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))) 3)
50.0b
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
▶27.7b
(sin.f64 eps)
23.8b
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))))
28.4b
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
▶0.2b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
47.3b
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
23.9b
(-.f64 (fma.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (cos.f64 eps)) 3) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
39.3b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
✓23.8b
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
▶37.7b
(-.f64 (+.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
30.1b
(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 (pow.f64 eps 4) 1/24))))
49.8b
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
23.8b
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
23.9b
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))))
0.2b
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
30.2b
(log1p.f64 (+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/2 (pow.f64 (cos.f64 x) 2)))) (+.f64 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 -1/6 (pow.f64 (cos.f64 x) 2)) (+.f64 (*.f64 1/8 (pow.f64 (sin.f64 x) 2)) (+.f64 (*.f64 1/24 (sin.f64 x)) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 x))) (*.f64 1/24 (pow.f64 (cos.f64 x) 4))))))) (+.f64 (*.f64 (cos.f64 x) eps) (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (pow.f64 (cos.f64 x) 3)) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 x) (sin.f64 x))) (*.f64 -1/6 (cos.f64 x)))))))))
40.0b
(*.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))))
39.3b
(-.f64 (sin.f64 eps) (sin.f64 x))
24.4b
(-.f64 (+.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 3) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
▶45.1b
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
✓23.8b
(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
Compiler

Compiled 1722 to 1179 computations (31.5% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(cos.f64 eps)
✓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)))
✓1.4b
(+.f64 (cos.f64 eps) -1)
Compiler

Compiled 36 to 16 computations (55.6% saved)

series7.0ms (0%)

Counts
3 → 60
Calls

15 calls:

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

rewrite73.0ms (0.5%)

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) 2)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) 1) (*.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) (neg.f64 (pow.f64 (sin.f64 eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.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 -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 (neg.f64 (pow.f64 (sin.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 (fma.f64 (cos.f64 eps) (cos.f64 eps) 1) (*.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2))) (neg.f64 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (cos.f64 eps) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) 1) (*.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) (neg.f64 (pow.f64 (sin.f64 eps) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (cos.f64 eps) -1))) 2)) (cbrt.f64 (log.f64 (+.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (cos.f64 eps) -1)))) (sqrt.f64 (log.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 cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log.f64 (cos.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (cos.f64 eps) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (cos.f64 eps) -1))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (cos.f64 eps) -1)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 eps) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cos.f64 eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (cos.f64 eps)) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)) -1)))))
((#(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 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))) (sqrt.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3)) (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (-.f64 (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))))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (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 pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))) 2)) (cbrt.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 pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))) (sqrt.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 sqrt.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) (pow.f64 (exp.f64 (cos.f64 x)) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 (cos.f64 x)) (sin.f64 eps)) (+.f64 1 (expm1.f64 (*.f64 (+.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)))))))

simplify87.0ms (0.6%)

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))

localize4.0ms (0%)

Compiler

Compiled 5 to 3 computations (40% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(sqrt.f64 (*.f64 (cos.f64 x) eps))
0.1b
(*.f64 (cos.f64 x) eps)
✓0.3b
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
Compiler

Compiled 23 to 8 computations (65.2% saved)

series11.0ms (0.1%)

Counts
2 → 20
Calls

12 calls:

TimeVariablePointExpression
2.0ms
x
@0
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
2.0ms
eps
@-inf
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
1.0ms
eps
@0
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
1.0ms
eps
@inf
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
1.0ms
x
@inf
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)

rewrite55.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
613×pow1_binary64
565×add-log-exp_binary64
565×log1p-expm1-u_binary64
565×expm1-log1p-u_binary64
551×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0814
116314
2159214
Stop Event
1×node limit
Counts
2 → 50
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(sqrt.f64 (*.f64 (cos.f64 x) eps))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 x) eps)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 x) eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) (sqrt.f64 (*.f64 (cos.f64 x) eps)))))) (#(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 (cbrt.f64 (*.f64 (cos.f64 x) eps)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps))) (sqrt.f64 (*.f64 (cos.f64 x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (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 (pow.f64 (*.f64 (cos.f64 x) eps) 1/4) (*.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 1/4) (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 (cos.f64 x)) (*.f64 (sqrt.f64 eps) (sqrt.f64 (*.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 (*.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) (pow.f64 (*.f64 (cos.f64 x) eps) 1/4)) (pow.f64 (*.f64 (cos.f64 x) eps) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) (cbrt.f64 (*.f64 (cos.f64 x) eps))) (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) (sqrt.f64 (cos.f64 x))) (sqrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 x)) eps))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 x) eps)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (*.f64 (cos.f64 x) eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 (cos.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps))) (cbrt.f64 (*.f64 (cos.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 1/4) (pow.f64 (*.f64 (cos.f64 x) eps) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 eps) (sqrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (cos.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 x) eps) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps))))))))

simplify53.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
431×*-commutative_binary64
334×distribute-rgt-in_binary64
329×distribute-lft-out_binary64
325×distribute-lft-in_binary64
320×unswap-sqr_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
054325
1136321
2405282
31880255
45044255
Stop Event
1×node limit
Counts
70 → 65
Calls
Call 1
Inputs
eps
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(+.f64 eps (+.f64 (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))) (*.f64 (-.f64 (+.f64 (*.f64 1/16 eps) (*.f64 1/24 eps)) (pow.f64 (*.f64 -1/4 (sqrt.f64 eps)) 2)) (pow.f64 x 4))))
(+.f64 (*.f64 -1/720 (*.f64 eps (pow.f64 x 6))) (+.f64 eps (+.f64 (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))) (*.f64 (-.f64 (+.f64 (*.f64 1/16 eps) (*.f64 1/24 eps)) (pow.f64 (*.f64 -1/4 (sqrt.f64 eps)) 2)) (pow.f64 x 4)))))
(*.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))
(sqrt.f64 eps)
(+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 eps) (pow.f64 x 2))) (sqrt.f64 eps))
(+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 eps) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (*.f64 (-.f64 (*.f64 1/24 eps) (pow.f64 (*.f64 -1/4 (sqrt.f64 eps)) 2)) (pow.f64 x 4)))) (sqrt.f64 eps)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (*.f64 (-.f64 (*.f64 -1/720 eps) (*.f64 -1/4 (-.f64 (*.f64 1/24 eps) (pow.f64 (*.f64 -1/4 (sqrt.f64 eps)) 2)))) (pow.f64 x 6)))) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 eps) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (*.f64 (-.f64 (*.f64 1/24 eps) (pow.f64 (*.f64 -1/4 (sqrt.f64 eps)) 2)) (pow.f64 x 4)))) (sqrt.f64 eps))))
(sqrt.f64 (*.f64 eps (cos.f64 x)))
(sqrt.f64 (*.f64 eps (cos.f64 x)))
(sqrt.f64 (*.f64 eps (cos.f64 x)))
(sqrt.f64 (*.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)
(fma.f64 (*.f64 x (*.f64 eps -1/2)) x eps)
(fma.f64 eps (*.f64 -1/2 (*.f64 x x)) eps)
(+.f64 eps (+.f64 (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))) (*.f64 (-.f64 (+.f64 (*.f64 1/16 eps) (*.f64 1/24 eps)) (pow.f64 (*.f64 -1/4 (sqrt.f64 eps)) 2)) (pow.f64 x 4))))
(+.f64 eps (fma.f64 -1/2 (*.f64 eps (*.f64 x x)) (*.f64 (-.f64 (*.f64 eps 5/48) (pow.f64 (*.f64 -1/4 (sqrt.f64 eps)) 2)) (pow.f64 x 4))))
(+.f64 eps (fma.f64 (-.f64 (*.f64 eps 5/48) (pow.f64 (*.f64 -1/4 (sqrt.f64 eps)) 2)) (pow.f64 x 4) (*.f64 (*.f64 x x) (*.f64 eps -1/2))))
(fma.f64 eps (*.f64 -1/2 (*.f64 x x)) (fma.f64 (fma.f64 eps 5/48 (*.f64 eps -1/16)) (pow.f64 x 4) eps))
(fma.f64 eps (*.f64 -1/2 (*.f64 x x)) (fma.f64 (*.f64 eps 1/24) (pow.f64 x 4) eps))
(+.f64 (*.f64 -1/720 (*.f64 eps (pow.f64 x 6))) (+.f64 eps (+.f64 (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))) (*.f64 (-.f64 (+.f64 (*.f64 1/16 eps) (*.f64 1/24 eps)) (pow.f64 (*.f64 -1/4 (sqrt.f64 eps)) 2)) (pow.f64 x 4)))))
(fma.f64 -1/720 (*.f64 eps (pow.f64 x 6)) (+.f64 eps (fma.f64 -1/2 (*.f64 eps (*.f64 x x)) (*.f64 (-.f64 (*.f64 eps 5/48) (pow.f64 (*.f64 -1/4 (sqrt.f64 eps)) 2)) (pow.f64 x 4)))))
(+.f64 (fma.f64 (-.f64 (*.f64 eps 5/48) (pow.f64 (*.f64 -1/4 (sqrt.f64 eps)) 2)) (pow.f64 x 4) (*.f64 (*.f64 x x) (*.f64 eps -1/2))) (fma.f64 -1/720 (*.f64 eps (pow.f64 x 6)) eps))
(fma.f64 eps (*.f64 -1/720 (pow.f64 x 6)) (fma.f64 eps (*.f64 -1/2 (*.f64 x x)) (fma.f64 (fma.f64 eps 5/48 (*.f64 eps -1/16)) (pow.f64 x 4) eps)))
(fma.f64 eps (*.f64 -1/720 (pow.f64 x 6)) (fma.f64 eps (*.f64 -1/2 (*.f64 x x)) (fma.f64 (*.f64 eps 1/24) (pow.f64 x 4) eps)))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(sqrt.f64 eps)
(+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 eps) (pow.f64 x 2))) (sqrt.f64 eps))
(fma.f64 -1/4 (*.f64 (*.f64 x x) (sqrt.f64 eps)) (sqrt.f64 eps))
(fma.f64 (*.f64 x x) (*.f64 -1/4 (sqrt.f64 eps)) (sqrt.f64 eps))
(fma.f64 (sqrt.f64 eps) (*.f64 x (*.f64 x -1/4)) (sqrt.f64 eps))
(+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 eps) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (*.f64 (-.f64 (*.f64 1/24 eps) (pow.f64 (*.f64 -1/4 (sqrt.f64 eps)) 2)) (pow.f64 x 4)))) (sqrt.f64 eps)))
(fma.f64 -1/4 (*.f64 (*.f64 x x) (sqrt.f64 eps)) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (*.f64 (pow.f64 x 4) (-.f64 (*.f64 eps 1/24) (pow.f64 (*.f64 -1/4 (sqrt.f64 eps)) 2)))) (sqrt.f64 eps)))
(fma.f64 -1/4 (*.f64 (*.f64 x x) (sqrt.f64 eps)) (fma.f64 1/2 (*.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) (pow.f64 x 4)) (-.f64 (*.f64 eps 1/24) (pow.f64 (*.f64 -1/4 (sqrt.f64 eps)) 2))) (sqrt.f64 eps)))
(fma.f64 (sqrt.f64 (/.f64 1 eps)) (*.f64 (pow.f64 x 4) (*.f64 (fma.f64 eps 1/24 (*.f64 eps -1/16)) 1/2)) (fma.f64 (*.f64 x x) (*.f64 -1/4 (sqrt.f64 eps)) (sqrt.f64 eps)))
(fma.f64 (*.f64 x x) (*.f64 -1/4 (sqrt.f64 eps)) (fma.f64 (*.f64 1/2 (*.f64 (pow.f64 x 4) (sqrt.f64 (/.f64 1 eps)))) (*.f64 eps -1/48) (sqrt.f64 eps)))
(fma.f64 (*.f64 x x) (*.f64 -1/4 (sqrt.f64 eps)) (fma.f64 (sqrt.f64 (/.f64 1 eps)) (*.f64 (*.f64 eps -1/48) (*.f64 (pow.f64 x 4) 1/2)) (sqrt.f64 eps)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (*.f64 (-.f64 (*.f64 -1/720 eps) (*.f64 -1/4 (-.f64 (*.f64 1/24 eps) (pow.f64 (*.f64 -1/4 (sqrt.f64 eps)) 2)))) (pow.f64 x 6)))) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 eps) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (*.f64 (-.f64 (*.f64 1/24 eps) (pow.f64 (*.f64 -1/4 (sqrt.f64 eps)) 2)) (pow.f64 x 4)))) (sqrt.f64 eps))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (*.f64 (pow.f64 x 6) (-.f64 (*.f64 eps -1/720) (*.f64 -1/4 (-.f64 (*.f64 eps 1/24) (pow.f64 (*.f64 -1/4 (sqrt.f64 eps)) 2)))))) (fma.f64 -1/4 (*.f64 (*.f64 x x) (sqrt.f64 eps)) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (*.f64 (pow.f64 x 4) (-.f64 (*.f64 eps 1/24) (pow.f64 (*.f64 -1/4 (sqrt.f64 eps)) 2)))) (sqrt.f64 eps))))
(fma.f64 1/2 (*.f64 (fma.f64 eps -1/720 (*.f64 (-.f64 (*.f64 eps 1/24) (pow.f64 (*.f64 -1/4 (sqrt.f64 eps)) 2)) 1/4)) (*.f64 (pow.f64 x 6) (sqrt.f64 (/.f64 1 eps)))) (fma.f64 -1/4 (*.f64 (*.f64 x x) (sqrt.f64 eps)) (fma.f64 1/2 (*.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) (pow.f64 x 4)) (-.f64 (*.f64 eps 1/24) (pow.f64 (*.f64 -1/4 (sqrt.f64 eps)) 2))) (sqrt.f64 eps))))
(fma.f64 1/2 (*.f64 (pow.f64 x 6) (*.f64 (sqrt.f64 (/.f64 1 eps)) (fma.f64 (fma.f64 eps 1/24 (*.f64 eps -1/16)) 1/4 (*.f64 eps -1/720)))) (fma.f64 (sqrt.f64 (/.f64 1 eps)) (*.f64 (pow.f64 x 4) (*.f64 (fma.f64 eps 1/24 (*.f64 eps -1/16)) 1/2)) (fma.f64 (*.f64 x x) (*.f64 -1/4 (sqrt.f64 eps)) (sqrt.f64 eps))))
(+.f64 (fma.f64 (sqrt.f64 eps) (*.f64 x (*.f64 x -1/4)) (sqrt.f64 eps)) (*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 eps))) (+.f64 (*.f64 (pow.f64 x 6) (fma.f64 eps -1/720 (*.f64 -1/4 (*.f64 eps 1/48)))) (*.f64 (pow.f64 x 4) (*.f64 eps -1/48)))))
(+.f64 (fma.f64 (*.f64 x x) (*.f64 -1/4 (sqrt.f64 eps)) (sqrt.f64 eps)) (*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 eps))) (+.f64 (*.f64 (pow.f64 x 6) (fma.f64 eps -1/720 (*.f64 -1/4 (*.f64 eps 1/48)))) (*.f64 (pow.f64 x 4) (*.f64 eps -1/48)))))
(sqrt.f64 (*.f64 eps (cos.f64 x)))
(sqrt.f64 (*.f64 eps (cos.f64 x)))
(sqrt.f64 (*.f64 eps (cos.f64 x)))
(sqrt.f64 (*.f64 eps (cos.f64 x)))

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (cos.f64 x) (sin.f64 eps))
✓0.2b
(+.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
✓2.6b
(-.f64 (+.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
Compiler

Compiled 34 to 8 computations (76.5% saved)

series4.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite85.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
532×fma-def_binary64
503×log-prod_binary64
357×pow-prod-down_binary64
282×pow2_binary64
237×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0931
119827
2292427
Stop Event
1×node limit
Counts
2 → 201
Calls
Call 1
Inputs
(-.f64 (+.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(+.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)) (fma.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2)) (-.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3))) (neg.f64 (fma.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (pow.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2))) (neg.f64 (-.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (pow.f64 (sin.f64 x) 2)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (sin.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (sin.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (pow.f64 (sin.f64 x) 2)) (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))) (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (sin.f64 x))) (pow.f64 (exp.f64 (sin.f64 eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (sin.f64 x)) (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (sin.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (sin.f64 x))) (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (sin.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))) (exp.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 (sin.f64 eps)) (cos.f64 x)) (+.f64 1 (expm1.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))) (+.f64 1 (expm1.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (sin.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (sin.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (sin.f64 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (sin.f64 x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (sin.f64 x))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 x) 1 (*.f64 (cos.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 x) (sin.f64 eps) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1 (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (*.f64 (cbrt.f64 (sin.f64 eps)) (cos.f64 x)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cos.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2)) (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2)) (*.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 eps)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sin.f64 eps)) (*.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 x)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (sin.f64 eps)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (cbrt.f64 (sin.f64 eps)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 x) (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sin.f64 eps)) (sin.f64 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)) (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)) (sin.f64 x))))))

simplify208.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
767×sqr-pow_binary64
648×cube-prod_binary64
444×*-commutative_binary64
396×unpow3_binary64
385×cube-mult_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
060606
1173588
2480543
31506540
42243540
53106540
63310540
73537540
83820540
94203540
104643540
115181540
125830540
136591540
146989540
157394540
167784540
Stop Event
1×node limit
Counts
249 → 232
Calls
Call 1
Inputs
(sin.f64 eps)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 x 4) (sin.f64 eps))) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 x 4) (sin.f64 eps))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 x 6) (sin.f64 eps))) (sin.f64 eps))))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) eps)
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 5) (cos.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x)))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 5) (cos.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 eps 7) (cos.f64 x))) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(sin.f64 eps)
(+.f64 x (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 x (sin.f64 eps)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 x (sin.f64 eps))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) (sin.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 -1/6 (*.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 (sin.f64 x) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))
Outputs
(sin.f64 eps)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (sin.f64 eps))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (sin.f64 eps))
(fma.f64 (*.f64 -1/2 (*.f64 x x)) (sin.f64 eps) (sin.f64 eps))
(*.f64 (sin.f64 eps) (fma.f64 -1/2 (*.f64 x x) 1))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 x 4) (sin.f64 eps))) (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 1/24 (*.f64 (sin.f64 eps) (pow.f64 x 4)) (sin.f64 eps)))
(+.f64 (sin.f64 eps) (*.f64 (sin.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 1/24 (pow.f64 x 4)))))
(*.f64 (sin.f64 eps) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (fma.f64 -1/2 (*.f64 x x) 1)))
(fma.f64 (sin.f64 eps) (fma.f64 -1/2 (*.f64 x x) (*.f64 1/24 (pow.f64 x 4))) (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))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 1/24 (*.f64 (sin.f64 eps) (pow.f64 x 4)) (fma.f64 -1/720 (*.f64 (sin.f64 eps) (pow.f64 x 6)) (sin.f64 eps))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/720 (pow.f64 x 6)) 1) (sin.f64 eps)) (*.f64 (sin.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 1/24 (pow.f64 x 4)))))
(fma.f64 (sin.f64 eps) (fma.f64 1/24 (pow.f64 x 4) (*.f64 -1/720 (pow.f64 x 6))) (*.f64 (sin.f64 eps) (fma.f64 -1/2 (*.f64 x x) 1)))
(*.f64 (sin.f64 eps) (+.f64 (fma.f64 -1/2 (*.f64 x x) 1) (fma.f64 1/24 (pow.f64 x 4) (*.f64 -1/720 (pow.f64 x 6)))))
(*.f64 (sin.f64 eps) (+.f64 (fma.f64 -1/720 (pow.f64 x 6) 1) (fma.f64 -1/2 (*.f64 x x) (*.f64 1/24 (pow.f64 x 4)))))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (sin.f64 eps) (cos.f64 x))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (sin.f64 eps) (cos.f64 x))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (sin.f64 eps) (cos.f64 x))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (sin.f64 eps) (cos.f64 x))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (sin.f64 eps) (cos.f64 x))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (sin.f64 eps) (cos.f64 x))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (sin.f64 eps) (cos.f64 x))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (sin.f64 eps) (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))
(fma.f64 (cos.f64 x) eps (*.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3))))
(*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))
(*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 5) (cos.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x)))))
(fma.f64 1/120 (*.f64 (cos.f64 x) (pow.f64 eps 5)) (fma.f64 (cos.f64 x) eps (*.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)))))
(fma.f64 1/120 (*.f64 (cos.f64 x) (pow.f64 eps 5)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(*.f64 (cos.f64 x) (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (fma.f64 1/120 (pow.f64 eps 5) eps)))
(*.f64 (cos.f64 x) (+.f64 (*.f64 1/120 (pow.f64 eps 5)) (fma.f64 -1/6 (pow.f64 eps 3) eps)))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 5) (cos.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 eps 7) (cos.f64 x))) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))))
(fma.f64 1/120 (*.f64 (cos.f64 x) (pow.f64 eps 5)) (fma.f64 (cos.f64 x) eps (fma.f64 -1/5040 (*.f64 (cos.f64 x) (pow.f64 eps 7)) (*.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3))))))
(+.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/5040 (pow.f64 eps 7)) (*.f64 -1/6 (pow.f64 eps 3)))) (*.f64 (cos.f64 x) (+.f64 (*.f64 1/120 (pow.f64 eps 5)) eps)))
(*.f64 (cos.f64 x) (+.f64 (fma.f64 1/120 (pow.f64 eps 5) eps) (fma.f64 -1/6 (pow.f64 eps 3) (*.f64 -1/5040 (pow.f64 eps 7)))))
(*.f64 (cos.f64 x) (+.f64 (fma.f64 1/120 (pow.f64 eps 5) eps) (fma.f64 -1/5040 (pow.f64 eps 7) (*.f64 -1/6 (pow.f64 eps 3)))))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (sin.f64 eps) (cos.f64 x))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (sin.f64 eps) (cos.f64 x))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (sin.f64 eps) (cos.f64 x))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (sin.f64 eps) (cos.f64 x))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (sin.f64 eps) (cos.f64 x))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (sin.f64 eps) (cos.f64 x))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (sin.f64 eps) (cos.f64 x))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (sin.f64 eps) (cos.f64 x))
(sin.f64 eps)
(+.f64 x (sin.f64 eps))
(+.f64 (sin.f64 eps) x)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 x (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (+.f64 (sin.f64 eps) x))
(+.f64 x (fma.f64 (*.f64 -1/2 (*.f64 x x)) (sin.f64 eps) (sin.f64 eps)))
(fma.f64 (fma.f64 -1/2 (*.f64 x x) 1) (sin.f64 eps) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 x (sin.f64 eps))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (+.f64 (sin.f64 eps) x)))
(fma.f64 -1/6 (pow.f64 x 3) (+.f64 x (fma.f64 (*.f64 -1/2 (*.f64 x x)) (sin.f64 eps) (sin.f64 eps))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 (fma.f64 -1/2 (*.f64 x x) 1) (sin.f64 eps) x))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x))
(sin.f64 x)
(+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x))
(fma.f64 (cos.f64 x) eps (sin.f64 x))
(fma.f64 eps (cos.f64 x) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x)))))
(+.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x)) (*.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3))))
(+.f64 (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))) (sin.f64 x))
(fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 5) (cos.f64 x))) (+.f64 (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)) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3))) (sin.f64 x))))
(+.f64 (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (sin.f64 x)) (*.f64 (cos.f64 x) (+.f64 (*.f64 1/120 (pow.f64 eps 5)) eps)))
(+.f64 (sin.f64 x) (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (fma.f64 1/120 (pow.f64 eps 5) eps))))
(+.f64 (sin.f64 x) (*.f64 (cos.f64 x) (+.f64 (*.f64 1/120 (pow.f64 eps 5)) (fma.f64 -1/6 (pow.f64 eps 3) eps))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x))

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiled 40 to 9 computations (77.5% saved)

series4.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite107.0ms (0.7%)

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
01037
121417
2295617
Stop Event
1×node limit
Counts
2 → 141
Calls
Call 1
Inputs
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (+.f64 eps x)) (*.f64 (neg.f64 (sin.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 2) (cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) 2)) (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (pow.f64 (sin.f64 (+.f64 eps x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 eps x))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 eps x))) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (pow.f64 (sin.f64 (+.f64 eps x)) 2)) (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (pow.f64 (sin.f64 (+.f64 eps x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 x) 2)) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3))) (neg.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (pow.f64 (sin.f64 (+.f64 eps x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 x) 2))) 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((#(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))))))

simplify84.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
825×distribute-lft-out_binary64
783×distribute-rgt-out_binary64
681×fma-neg_binary64
640×associate-*l*_binary64
500×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
060900
1174895
2451849
31384848
43993848
57759848
Stop Event
1×node limit
Counts
189 → 172
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))
(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 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)) (*.f64 (cos.f64 x) eps))
(fma.f64 (*.f64 eps eps) (*.f64 -1/2 (sin.f64 x)) (*.f64 (cos.f64 x) 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 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)))))
(+.f64 (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(fma.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 eps (*.f64 eps (*.f64 -1/2 (sin.f64 x)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(fma.f64 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 (*.f64 eps eps) (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))))
(fma.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 (sin.f64 x) (+.f64 (*.f64 eps (*.f64 eps -1/2)) (*.f64 1/24 (pow.f64 eps 4)))))
(fma.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 eps (*.f64 eps -1/2)))))
(fma.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 eps (*.f64 (sin.f64 x) (+.f64 (*.f64 eps -1/2) (*.f64 (pow.f64 eps 3) 1/24)))))
(-.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) (fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps))
(fma.f64 x (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
(-.f64 (fma.f64 x (cos.f64 eps) (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 (sin.f64 eps) (*.f64 x (*.f64 x -1/2)) (sin.f64 eps)))
(-.f64 (fma.f64 x (cos.f64 eps) (fma.f64 -1/2 (*.f64 x (*.f64 x (sin.f64 eps))) (sin.f64 eps))) x)
(-.f64 (fma.f64 x (cos.f64 eps) (*.f64 (sin.f64 eps) (+.f64 1 (*.f64 x (*.f64 x -1/2))))) 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 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 (sin.f64 eps) (*.f64 x x)) (fma.f64 (fma.f64 -1/6 (cos.f64 eps) 1/6) (pow.f64 x 3) (-.f64 (fma.f64 x (cos.f64 eps) (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) (fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(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 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 1) (sin.f64 x)))
(fma.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (sin.f64 x) (*.f64 (cos.f64 x) eps))
(fma.f64 (cos.f64 x) eps (*.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 (*.f64 eps eps) (sin.f64 x)))))
(+.f64 (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))))))
(+.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 (sin.f64 eps) (*.f64 x (*.f64 x -1/2)) (sin.f64 eps)))
(fma.f64 x (cos.f64 eps) (fma.f64 -1/2 (*.f64 x (*.f64 x (sin.f64 eps))) (sin.f64 eps)))
(fma.f64 x (cos.f64 eps) (*.f64 (sin.f64 eps) (+.f64 1 (*.f64 x (*.f64 x -1/2)))))
(+.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 (*.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 (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)))

eval346.0ms (2.4%)

Compiler

Compiled 13739 to 4874 computations (64.5% saved)

prune377.0ms (2.6%)

Pruning

54 alts after pruning (47 fresh and 7 done)

PrunedKeptTotal
New75223775
Fresh242448
Picked011
Done167
Total77754831
Error
0b
Counts
831 → 54
Alt Table
Click to see full alt table
StatusErrorProgram
▶30.1b
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
46.4b
(log1p.f64 (-.f64 (exp.f64 (sin.f64 eps)) 1))
44.5b
(+.f64 eps (+.f64 (*.f64 1/24 (*.f64 eps (pow.f64 x 4))) (*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))))
44.0b
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
39.1b
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
23.8b
(+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))
29.1b
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
✓23.8b
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
29.6b
(*.f64 (*.f64 eps (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)))
31.9b
(log.f64 (exp.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))
40.2b
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
52.5b
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
45.0b
(*.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))
42.4b
eps
39.7b
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))) 3)
45.9b
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))))
29.1b
(log1p.f64 (*.f64 (cos.f64 x) eps))
0.2b
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
49.2b
(pow.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1/3) 3)
0.3b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) (sin.f64 x)))
39.3b
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
✓29.4b
(*.f64 (cos.f64 x) eps)
37.7b
(+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (sin.f64 x))
✓45.1b
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
14.2b
(*.f64 (sin.f64 eps) (cos.f64 x))
14.3b
(fma.f64 (*.f64 (sin.f64 eps) (cbrt.f64 (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (cos.f64 x)) (-.f64 (sin.f64 x) (sin.f64 x)))
▶27.9b
(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)))
24.9b
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (cos.f64 eps)))) (sin.f64 x))
0.2b
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (sin.f64 x) (cos.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)
29.7b
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 -1/2 eps))))
0.2b
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
▶0.2b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) (sin.f64 x)))
24.9b
(-.f64 (+.f64 (log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (cos.f64 eps))))) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
47.1b
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
29.5b
(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)))
28.4b
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
✓27.7b
(sin.f64 eps)
0.2b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (log.f64 (exp.f64 (cos.f64 eps))) -1) (sin.f64 x)))
40.3b
(-.f64 (fma.f64 x (cos.f64 eps) (*.f64 (sin.f64 eps) (+.f64 1 (*.f64 x (*.f64 x -1/2))))) x)
✓0.2b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
47.3b
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
30.8b
(+.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)))))
39.3b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
0.2b
(fma.f64 (sin.f64 eps) (cos.f64 x) (log1p.f64 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
✓23.8b
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
✓37.7b
(-.f64 (+.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
30.1b
(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 (pow.f64 eps 4) 1/24))))
▶49.8b
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
23.8b
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
23.9b
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))))
0.2b
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
39.3b
(-.f64 (sin.f64 eps) (sin.f64 x))
▶52.2b
(pow.f64 (sqrt.f64 eps) 2)
Compiler

Compiled 1388 to 965 computations (30.5% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(exp.f64 (+.f64 (cos.f64 eps) -1))
✓0.2b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) (sin.f64 x)))
1.4b
(+.f64 (cos.f64 eps) -1)
✓1.4b
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
Compiler

Compiled 51 to 27 computations (47.1% saved)

series4.0ms (0%)

Counts
3 → 48
Calls

12 calls:

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

rewrite78.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
556×log-prod_binary64
347×pow-prod-down_binary64
323×prod-diff_binary64
318×pow2_binary64
222×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01333
124433
2291933
Stop Event
1×node limit
Counts
3 → 132
Calls
Call 1
Inputs
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) (sin.f64 x)))
(exp.f64 (+.f64 (cos.f64 eps) -1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 eps) -1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 1/3 (+.f64 (cos.f64 eps) -1))) (*.f64 1/3 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (+.f64 (cos.f64 eps) -1)) (*.f64 1/2 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (+.f64 (cos.f64 eps) -1)) (*.f64 2 (*.f64 1/3 (+.f64 (cos.f64 eps) -1))))))) (#(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)) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.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 3 (*.f64 1/3 (+.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) 2)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (*.f64 3 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) 1) (*.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) (neg.f64 (pow.f64 (sin.f64 eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.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 -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 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 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(#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log.f64 (cos.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (cos.f64 eps) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (cos.f64 eps) -1))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 eps) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cos.f64 eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (cos.f64 eps)) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)) -1)))))
((#(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 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x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))) (sqrt.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3)) (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (-.f64 (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))))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) (sin.f64 x)) (exp.f64 (*.f64 (sin.f64 eps) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) (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 (+.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 +.f64 0 (exp.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (cos.f64 eps)) (exp.f64 -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (cos.f64 eps)) (pow.f64 (exp.f64 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 -1) (exp.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) (cbrt.f64 (exp.f64 (*.f64 2 (+.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (*.f64 2 (+.f64 (cos.f64 eps) -1)))) (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 1) -1) (exp.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 1) (*.f64 2 (*.f64 1/3 (+.f64 (cos.f64 eps) -1)))) (pow.f64 (exp.f64 1) (*.f64 1/3 (+.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 1) (*.f64 1/2 (+.f64 (cos.f64 eps) -1))) (pow.f64 (exp.f64 1) (*.f64 1/2 (+.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 (cos.f64 eps)) (pow.f64 (exp.f64 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (exp.f64 1) (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))) (pow.f64 (exp.f64 1) (/.f64 1 (+.f64 (cos.f64 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (*.f64 2 (+.f64 (cos.f64 eps) -1))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1))) (*.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) (*.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) 1) (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1))) 1) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1))) (cbrt.f64 (+.f64 (cos.f64 eps) -1))) (cbrt.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)))) (sqrt.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))) (sqrt.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) 1) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) (cbrt.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)))) (cbrt.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))) (cbrt.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) (sqrt.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)))) (sqrt.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (cbrt.f64 (+.f64 (cos.f64 eps) -1))) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (+.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 pow.f64 (pow.f64 (exp.f64 1) (neg.f64 (pow.f64 (sin.f64 eps) 2))) (/.f64 1 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (+.f64 (sqrt.f64 (cos.f64 eps)) 1)) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (exp.f64 (*.f64 2 (+.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))))))))

simplify86.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
407×distribute-lft-in_binary64
380×distribute-rgt-in_binary64
371×associate-+l-_binary64
368×unswap-sqr_binary64
360×*-commutative_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
071708
1191704
2499691
31687690
43541690
55098689
Stop Event
1×node limit
Counts
180 → 166
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)))
1
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 1/6 (pow.f64 eps 4)) 1))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 1/6 (pow.f64 eps 4)) (+.f64 1 (*.f64 -31/720 (pow.f64 eps 6)))))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (-.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 1/24 (pow.f64 eps 4) (fma.f64 -1/720 (pow.f64 eps 6) (fma.f64 1/40320 (pow.f64 eps 8) (*.f64 -1/2 (*.f64 eps eps)))))
(-.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 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))))
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)) (*.f64 eps (cos.f64 x)))
(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 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)))))
(+.f64 (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(fma.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(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 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))))))
(fma.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x)) (+.f64 (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))))
(fma.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 (sin.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/2 (*.f64 eps eps)))))
(fma.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4))) (sin.f64 x)))
(fma.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 (fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/2 (*.f64 eps eps))) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (+.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)))
(fma.f64 x (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (*.f64 -1/2 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) (+.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)))) (fma.f64 (*.f64 x x) (*.f64 -1/2 (sin.f64 eps)) (sin.f64 eps)))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) (fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (sin.f64 eps)))
(+.f64 (sin.f64 eps) (fma.f64 -1/2 (*.f64 x (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (+.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)))
1
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)
(fma.f64 -1/2 (*.f64 eps eps) 1)
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 1/6 (pow.f64 eps 4)) 1))
(fma.f64 -1/2 (*.f64 eps eps) (fma.f64 1/6 (pow.f64 eps 4) 1))
(fma.f64 -1/2 (*.f64 eps eps) (fma.f64 (pow.f64 eps 4) 1/6 1))
(fma.f64 (pow.f64 eps 4) 1/6 (fma.f64 -1/2 (*.f64 eps eps) 1))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 1/6 (pow.f64 eps 4)) (+.f64 1 (*.f64 -31/720 (pow.f64 eps 6)))))
(fma.f64 -1/2 (*.f64 eps eps) (+.f64 (fma.f64 1/6 (pow.f64 eps 4) 1) (*.f64 (pow.f64 eps 6) -31/720)))
(fma.f64 -1/2 (*.f64 eps eps) (fma.f64 (pow.f64 eps 4) 1/6 (fma.f64 (pow.f64 eps 6) -31/720 1)))
(fma.f64 -1/2 (*.f64 eps eps) (fma.f64 (pow.f64 eps 6) -31/720 (fma.f64 (pow.f64 eps 4) 1/6 1)))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (+.f64 (cos.f64 eps) -1))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.3b
(pow.f64 (sqrt.f64 eps) 2)
Compiler

Compiled 10 to 6 computations (40% saved)

series3.0ms (0%)

Counts
1 → 0
Calls

3 calls:

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

rewrite47.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
323×pow1_binary64
315×add-sqr-sqrt_binary64
306×*-un-lft-identity_binary64
302×add-log-exp_binary64
302×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051
11041
28801
Stop Event
1×node limit
Counts
1 → 39
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 eps) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 eps)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 eps))) (log.f64 (sqrt.f64 (exp.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (exp.f64 (+.f64 eps eps)))) (log.f64 (cbrt.f64 (exp.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 eps) (sqrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 eps)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 eps) (cbrt.f64 (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 eps) (pow.f64 (*.f64 eps (cbrt.f64 eps)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 eps) (*.f64 (cbrt.f64 (*.f64 eps eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 eps eps)) (cbrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 eps 1/4) (pow.f64 eps 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 eps 1/4) (*.f64 (pow.f64 eps 3/4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 eps (cbrt.f64 eps))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 eps eps))) (cbrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 eps eps))) (*.f64 (cbrt.f64 (cbrt.f64 eps)) (cbrt.f64 (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 eps 1/8) (*.f64 (pow.f64 eps 1/8) (pow.f64 eps 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 eps 1/6) (pow.f64 eps 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 eps 1/6) (*.f64 (pow.f64 (sqrt.f64 eps) 1/6) (pow.f64 eps 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 eps 3/4) (pow.f64 eps 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 eps 5/6) (pow.f64 eps 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 eps (pow.f64 (cbrt.f64 eps) 5))) (cbrt.f64 (cbrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 eps) 5)) (pow.f64 eps 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) eps)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 eps (cbrt.f64 eps)) 1/2) (cbrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 eps) 5) 1/2) (pow.f64 eps 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 eps (pow.f64 (cbrt.f64 eps) 5)) 1/3) (cbrt.f64 (cbrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 eps) 3) 1) (+.f64 (*.f64 (+.f64 1 eps) (+.f64 1 eps)) (+.f64 1 (*.f64 (+.f64 1 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 eps) (+.f64 1 eps)) 1) (+.f64 (+.f64 1 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 eps)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 eps 3))))) (#(struct:change #<rule egg-rr> (2) ((x . eps)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 eps eps)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 eps)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 eps)) 3))))))

simplify8.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
39 → 39
Calls
Call 1
Inputs
Outputs

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiled 23 to 8 computations (65.2% saved)

series23.0ms (0.2%)

Counts
2 → 24
Calls

12 calls:

TimeVariablePointExpression
10.0ms
eps
@-inf
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
3.0ms
x
@0
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
3.0ms
x
@-inf
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
2.0ms
x
@inf
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
1.0ms
eps
@0
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)

rewrite59.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

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

simplify54.0ms (0.4%)

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

Useful iterations: 3 (0.0ms)

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

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.4b
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
✓0.4b
(pow.f64 (sin.f64 (+.f64 x eps)) 2)
3.0b
(sin.f64 (+.f64 x eps))
✓3.7b
(sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2))
Compiler

Compiled 37 to 15 computations (59.5% saved)

series9.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
2.0ms
eps
@0
(pow.f64 (sin.f64 (+.f64 x eps)) 2)
1.0ms
x
@0
(pow.f64 (sin.f64 (+.f64 x eps)) 2)
1.0ms
eps
@-inf
(pow.f64 (sin.f64 (+.f64 x eps)) 2)
1.0ms
eps
@inf
(pow.f64 (sin.f64 (+.f64 x eps)) 2)
0.0ms
x
@-inf
(pow.f64 (sin.f64 (+.f64 x eps)) 2)

rewrite82.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

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

simplify70.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
683×distribute-rgt-neg-out_binary64
648×fma-def_binary64
600×distribute-lft-neg-out_binary64
523×associate-*r*_binary64
506×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0107986
1329973
2917935
34253935
Stop Event
1×node limit
Counts
262 → 241
Calls
Call 1
Inputs
(sin.f64 eps)
(+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (sin.f64 eps))))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 x)
(+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(pow.f64 (sin.f64 eps) 2)
(+.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 2 (*.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) x))))
(+.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (*.f64 2 (*.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) x))) (*.f64 (+.f64 (*.f64 -1 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (pow.f64 x 2))))
(+.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (*.f64 2 (*.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) x))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (cos.f64 eps) (sin.f64 eps))) (*.f64 -1/3 (*.f64 (cos.f64 eps) (sin.f64 eps)))) (pow.f64 x 3)) (*.f64 (+.f64 (*.f64 -1 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (pow.f64 x 2)))))
(pow.f64 (sin.f64 (+.f64 eps x)) 2)
(pow.f64 (sin.f64 (+.f64 eps x)) 2)
(pow.f64 (sin.f64 (+.f64 eps x)) 2)
(pow.f64 (sin.f64 (+.f64 eps x)) 2)
(pow.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) 2)
(pow.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) 2)
(pow.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) 2)
(pow.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) 2)
(pow.f64 (sin.f64 x) 2)
(+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 2 (*.f64 eps (*.f64 (cos.f64 x) (sin.f64 x)))))
(+.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (*.f64 2 (*.f64 eps (*.f64 (cos.f64 x) (sin.f64 x))))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (cos.f64 x) (sin.f64 x))) (*.f64 -1 (*.f64 (cos.f64 x) (sin.f64 x)))) (pow.f64 eps 3)) (+.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (*.f64 2 (*.f64 eps (*.f64 (cos.f64 x) (sin.f64 x)))))))
(pow.f64 (sin.f64 (+.f64 eps x)) 2)
(pow.f64 (sin.f64 (+.f64 eps x)) 2)
(pow.f64 (sin.f64 (+.f64 eps x)) 2)
(pow.f64 (sin.f64 (+.f64 eps x)) 2)
(pow.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) 2)
(pow.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) 2)
(pow.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) 2)
(pow.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) 2)
(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 (*.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) 1) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (cos.f64 eps) x (fma.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3)) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (cos.f64 eps) x (fma.f64 (*.f64 (cos.f64 eps) -1/6) (pow.f64 x 3) (sin.f64 eps))))
(+.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) (*.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) 1) (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 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
(fma.f64 eps (cos.f64 x) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 1) (sin.f64 x)))
(fma.f64 eps (cos.f64 x) (*.f64 (sin.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1)))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(+.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x)) (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x))))
(+.f64 (sin.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))))
(+.f64 (*.f64 (sin.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(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))
(pow.f64 (sin.f64 eps) 2)
(+.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 2 (*.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) x))))
(+.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (*.f64 2 (cos.f64 eps)) (*.f64 (sin.f64 eps) x)))
(fma.f64 2 (*.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) x)) (pow.f64 (sin.f64 eps) 2))
(*.f64 (sin.f64 eps) (+.f64 (*.f64 (cos.f64 eps) (*.f64 x 2)) (sin.f64 eps)))
(*.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (*.f64 x 2))))
(+.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (*.f64 2 (*.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) x))) (*.f64 (+.f64 (*.f64 -1 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (pow.f64 x 2))))
(+.f64 (pow.f64 (sin.f64 eps) 2) (fma.f64 2 (*.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) x)) (*.f64 (*.f64 x x) (fma.f64 -1 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))
(+.f64 (pow.f64 (sin.f64 eps) 2) (fma.f64 2 (*.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) x)) (*.f64 (*.f64 x x) (-.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)))))
(fma.f64 x (*.f64 x (-.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))) (*.f64 (sin.f64 eps) (+.f64 (*.f64 (cos.f64 eps) (*.f64 x 2)) (sin.f64 eps))))
(fma.f64 x (*.f64 x (-.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))) (*.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (*.f64 x 2)))))
(+.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (*.f64 2 (*.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) x))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (cos.f64 eps) (sin.f64 eps))) (*.f64 -1/3 (*.f64 (cos.f64 eps) (sin.f64 eps)))) (pow.f64 x 3)) (*.f64 (+.f64 (*.f64 -1 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (pow.f64 x 2)))))
(+.f64 (pow.f64 (sin.f64 eps) 2) (fma.f64 2 (*.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) x)) (fma.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 eps)) -4/3) (pow.f64 x 3) (*.f64 (*.f64 x x) (fma.f64 -1 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))))))
(+.f64 (pow.f64 (sin.f64 eps) 2) (fma.f64 2 (*.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) x)) (fma.f64 (*.f64 x x) (-.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 x 3) (*.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) -4/3))))))
(+.f64 (pow.f64 (sin.f64 eps) 2) (fma.f64 x (*.f64 x (-.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 x 2) (*.f64 (pow.f64 x 3) -4/3)))))
(+.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (*.f64 x 2) (*.f64 (pow.f64 x 3) -4/3))) (fma.f64 (*.f64 x x) (-.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (sin.f64 eps) 2)))
(pow.f64 (sin.f64 (+.f64 eps x)) 2)
(pow.f64 (sin.f64 (+.f64 eps x)) 2)
(pow.f64 (sin.f64 (+.f64 eps x)) 2)
(pow.f64 (sin.f64 (+.f64 eps x)) 2)
(pow.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) 2)
(pow.f64 (sin.f64 (+.f64 eps x)) 2)
(pow.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) 2)
(pow.f64 (sin.f64 (+.f64 eps x)) 2)
(pow.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) 2)
(pow.f64 (sin.f64 (+.f64 eps x)) 2)
(pow.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) 2)
(pow.f64 (sin.f64 (+.f64 eps x)) 2)
(pow.f64 (sin.f64 x) 2)
(+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 2 (*.f64 eps (*.f64 (cos.f64 x) (sin.f64 x)))))
(+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 2 eps) (*.f64 (sin.f64 x) (cos.f64 x))))
(fma.f64 2 (*.f64 eps (*.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 (sin.f64 x) 2))
(*.f64 (sin.f64 x) (+.f64 (*.f64 eps (*.f64 2 (cos.f64 x))) (sin.f64 x)))
(*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (*.f64 eps (*.f64 2 (cos.f64 x)))))
(+.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (*.f64 2 (*.f64 eps (*.f64 (cos.f64 x) (sin.f64 x))))))
(+.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 (*.f64 eps eps) (fma.f64 -1 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (*.f64 2 eps) (*.f64 (sin.f64 x) (cos.f64 x)))))
(+.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 2 (*.f64 eps (*.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (*.f64 eps eps) (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))))
(fma.f64 eps (*.f64 eps (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (*.f64 (sin.f64 x) (+.f64 (*.f64 eps (*.f64 2 (cos.f64 x))) (sin.f64 x))))
(fma.f64 eps (*.f64 eps (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (*.f64 eps (*.f64 2 (cos.f64 x))))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (cos.f64 x) (sin.f64 x))) (*.f64 -1 (*.f64 (cos.f64 x) (sin.f64 x)))) (pow.f64 eps 3)) (+.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (*.f64 2 (*.f64 eps (*.f64 (cos.f64 x) (sin.f64 x)))))))
(fma.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 x)) -4/3) (pow.f64 eps 3) (+.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 (*.f64 eps eps) (fma.f64 -1 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (*.f64 2 eps) (*.f64 (sin.f64 x) (cos.f64 x))))))
(+.f64 (fma.f64 2 (*.f64 eps (*.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (*.f64 eps eps) (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)))) (fma.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) (*.f64 (cos.f64 x) -4/3)) (pow.f64 (sin.f64 x) 2)))
(+.f64 (fma.f64 eps (*.f64 eps (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (pow.f64 (sin.f64 x) 2)) (*.f64 (*.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 eps 2) (*.f64 (pow.f64 eps 3) -4/3))))
(+.f64 (fma.f64 (*.f64 eps eps) (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (*.f64 (*.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (*.f64 eps 2) (*.f64 (pow.f64 eps 3) -4/3))))
(pow.f64 (sin.f64 (+.f64 eps x)) 2)
(pow.f64 (sin.f64 (+.f64 eps x)) 2)
(pow.f64 (sin.f64 (+.f64 eps x)) 2)
(pow.f64 (sin.f64 (+.f64 eps x)) 2)
(pow.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) 2)
(pow.f64 (sin.f64 (+.f64 eps x)) 2)
(pow.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) 2)
(pow.f64 (sin.f64 (+.f64 eps x)) 2)
(pow.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) 2)
(pow.f64 (sin.f64 (+.f64 eps x)) 2)
(pow.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) 2)
(pow.f64 (sin.f64 (+.f64 eps x)) 2)
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps))
(fma.f64 x (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 x (+.f64 (cos.f64 eps) -1) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (*.f64 x (*.f64 x -1/2)) (fma.f64 x (+.f64 (cos.f64 eps) -1) (sin.f64 eps)))
(-.f64 (fma.f64 (cos.f64 eps) x (*.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) 1) (sin.f64 eps))) x)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (fma.f64 -1/6 (cos.f64 eps) 1/6) (pow.f64 x 3) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 x (+.f64 (cos.f64 eps) -1) (fma.f64 (pow.f64 x 3) (fma.f64 (cos.f64 eps) -1/6 1/6) (sin.f64 eps))))
(fma.f64 (sin.f64 eps) (*.f64 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 (sin.f64 eps) (*.f64 x (*.f64 x -1/2)) (fma.f64 (pow.f64 x 3) (fma.f64 (cos.f64 eps) -1/6 1/6) (sin.f64 eps))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (cos.f64 x) eps (*.f64 (*.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 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))) (*.f64 eps (cos.f64 x)))
(fma.f64 eps (cos.f64 x) (*.f64 eps (*.f64 eps (*.f64 -1/2 (sin.f64 x)))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 (*.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)))))
(+.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 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))

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(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)))
✓0.1b
(*.f64 1/24 (pow.f64 eps 4))
✓2.2b
(*.f64 (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4))) (sin.f64 x))
✓12.4b
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4)))
Compiler

Compiled 65 to 36 computations (44.6% saved)

series11.0ms (0.1%)

Counts
4 → 60
Calls

18 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(*.f64 (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4))) (sin.f64 x))
1.0ms
x
@0
(*.f64 (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4))) (sin.f64 x))
1.0ms
eps
@inf
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4)))
1.0ms
eps
@0
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4)))
1.0ms
eps
@inf
(*.f64 (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4))) (sin.f64 x))

rewrite86.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
625×log-prod_binary64
370×prod-diff_binary64
365×pow2_binary64
253×expm1-udef_binary64
253×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01567
130367
2336067
Stop Event
1×node limit
Counts
4 → 102
Calls
Call 1
Inputs
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4)))
(*.f64 (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4))) (sin.f64 x))
(*.f64 1/24 (pow.f64 eps 4))
(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)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/24 (pow.f64 eps 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/24) (pow.f64 eps 4))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/24) (pow.f64 eps 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/24) (pow.f64 eps 4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/24) (pow.f64 eps 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/24 (pow.f64 eps 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/24 (pow.f64 eps 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/576 (pow.f64 eps 8)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/24 (pow.f64 eps 4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/24 (pow.f64 eps 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 eps eps) (sqrt.f64 1/24)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/576 (pow.f64 eps 8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/24) (pow.f64 eps 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/24 (pow.f64 eps 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/24 (pow.f64 eps 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/24 (pow.f64 eps 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/24 (pow.f64 eps 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 4 (log.f64 eps) (log.f64 1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 4 (log.f64 eps) (log.f64 1/24)) 1))))))
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eps 4))) (sin.f64 x)) 3)) (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (-.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4))) (sin.f64 x)) 2) (*.f64 (*.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4))) (sin.f64 x)) 2)) (-.f64 (*.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))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4))) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4))) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4))) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4))) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4))) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4))) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4))) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4))) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 (sin.f64 x)) (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4)))) (exp.f64 (*.f64 (sin.f64 eps) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4))) (sin.f64 x)))) (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 (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4))) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4))) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4))) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4))) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4))) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4))) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))) 1))))))

simplify87.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
659×associate-+l+_binary64
626×distribute-rgt-in_binary64
616×distribute-lft-in_binary64
555×associate-+r+_binary64
440×*-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0621459
11781297
25151220
321151190
458191190
569271190
Stop Event
1×node limit
Counts
162 → 140
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 -1/2 (pow.f64 eps 2)))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2)))
(*.f64 1/24 (pow.f64 eps 4))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.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 -1/2 (pow.f64 eps 2)))
(*.f64 1/24 (pow.f64 eps 4))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.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 -1/2 (pow.f64 eps 2)))
(*.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 -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 1/24 (*.f64 (pow.f64 eps 4) (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 -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 1/24 (*.f64 (pow.f64 eps 4) (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 -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 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) x)
(+.f64 (*.f64 -1/6 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) (pow.f64 x 3))) (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) x))
(+.f64 (*.f64 -1/6 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) (pow.f64 x 3))) (+.f64 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) x) (*.f64 1/120 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) (pow.f64 x 5)))))
(+.f64 (*.f64 -1/6 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) (pow.f64 x 3))) (+.f64 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) x) (+.f64 (*.f64 -1/5040 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) (pow.f64 x 7))) (*.f64 1/120 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) (pow.f64 x 5))))))
(*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) (sin.f64 x))
(*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) (sin.f64 x))
(*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) (sin.f64 x))
(*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) (sin.f64 x))
(*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) (sin.f64 x))
(*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) (sin.f64 x))
(*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) (sin.f64 x))
(*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) (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 1/24 (*.f64 (pow.f64 eps 4) (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 (cos.f64 x) (sin.f64 eps)) (+.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 (cos.f64 x) (sin.f64 eps)) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(*.f64 1/24 (*.f64 (pow.f64 eps 4) (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 (cos.f64 x) (sin.f64 eps)) (+.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 (cos.f64 x) (sin.f64 eps)) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(sin.f64 eps)
(+.f64 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) x) (sin.f64 eps))
(+.f64 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (sin.f64 eps)))
(+.f64 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) x) (+.f64 (*.f64 -1/6 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) (pow.f64 x 3))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (sin.f64 eps))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) (sin.f64 x)))
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 -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 -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 1/24 (pow.f64 eps 4))
(+.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 -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 -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 1/24 (pow.f64 eps 4))
(+.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 -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 -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 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)))
(*.f64 (*.f64 eps eps) (*.f64 -1/2 (sin.f64 x)))
(*.f64 (*.f64 -1/2 eps) (*.f64 eps (sin.f64 x)))
(*.f64 -1/2 (*.f64 eps (*.f64 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 -1/2 (*.f64 (*.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 (fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/2 (*.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 -1/2 (*.f64 (*.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 (fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/2 (*.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 -1/2 (*.f64 (*.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 (fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/2 (*.f64 eps eps))) (sin.f64 x))
(*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x)))
(*.f64 (*.f64 1/24 (pow.f64 eps 4)) (sin.f64 x))
(*.f64 (pow.f64 eps 4) (*.f64 1/24 (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 -1/2 (*.f64 (*.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 (fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/2 (*.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 -1/2 (*.f64 (*.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 (fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/2 (*.f64 eps eps))) (sin.f64 x))
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(fma.f64 (fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/2 (*.f64 eps eps))) x (*.f64 (sin.f64 eps) (fma.f64 -1/2 (*.f64 x x) 1)))
(+.f64 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) x) (+.f64 (*.f64 -1/6 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) (pow.f64 x 3))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (sin.f64 eps))))
(fma.f64 (fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/2 (*.f64 eps eps))) x (fma.f64 -1/6 (*.f64 (fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/2 (*.f64 eps eps))) (pow.f64 x 3)) (fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (sin.f64 eps))))
(fma.f64 (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4))) x (fma.f64 (*.f64 (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4))) -1/6) (pow.f64 x 3) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) 1) (sin.f64 eps))))
(fma.f64 (fma.f64 -1/2 (*.f64 x x) 1) (sin.f64 eps) (*.f64 (fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/2 (*.f64 eps eps))) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (fma.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x)) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)))))
(fma.f64 (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4))) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/2 (*.f64 eps eps))) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (fma.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x)) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)))))
(fma.f64 (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4))) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/2 (*.f64 eps eps))) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (fma.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x)) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)))))
(fma.f64 (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4))) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/2 (*.f64 eps eps))) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (fma.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x)) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)))))
(fma.f64 (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4))) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/2 (*.f64 eps eps))) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (fma.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x)) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)))))
(fma.f64 (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4))) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/2 (*.f64 eps eps))) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (fma.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x)) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)))))
(fma.f64 (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4))) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/2 (*.f64 eps eps))) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (fma.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x)) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)))))
(fma.f64 (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4))) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/2 (*.f64 eps eps))) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (fma.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x)) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)))))
(fma.f64 (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4))) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/2 (*.f64 eps eps))) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))

eval422.0ms (2.9%)

Compiler

Compiled 14746 to 6866 computations (53.4% saved)

prune226.0ms (1.6%)

Pruning

57 alts after pruning (49 fresh and 8 done)

PrunedKeptTotal
New77819797
Fresh123042
Picked101
Done3811
Total79457851
Error
0b
Counts
851 → 57
Alt Table
Click to see full alt table
StatusErrorProgram
✓30.1b
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
46.4b
(log1p.f64 (-.f64 (exp.f64 (sin.f64 eps)) 1))
44.5b
(+.f64 eps (+.f64 (*.f64 1/24 (*.f64 eps (pow.f64 x 4))) (*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))))
39.1b
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
23.8b
(+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))
29.6b
(*.f64 (*.f64 eps (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)))
49.9b
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 eps) 2)) (sin.f64 x))
31.9b
(log.f64 (exp.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))
40.2b
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
45.0b
(*.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))
42.4b
eps
39.7b
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))) 3)
39.3b
(-.f64 (sin.f64 eps) (sin.f64 x))
45.9b
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))))
29.1b
(log1p.f64 (*.f64 (cos.f64 x) eps))
52.6b
(-.f64 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (+.f64 x eps)))))) (sin.f64 x))
42.8b
(pow.f64 (cbrt.f64 eps) 3)
0.2b
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
0.3b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) (sin.f64 x)))
39.3b
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
✓29.4b
(*.f64 (cos.f64 x) eps)
37.7b
(+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (sin.f64 x))
✓45.1b
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
14.2b
(*.f64 (sin.f64 eps) (cos.f64 x))
14.3b
(fma.f64 (*.f64 (sin.f64 eps) (cbrt.f64 (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (cos.f64 x)) (-.f64 (sin.f64 x) (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)
24.9b
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (cos.f64 eps)))) (sin.f64 x))
29.1b
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
48.3b
(-.f64 (fabs.f64 (sin.f64 (+.f64 x eps))) (sin.f64 x))
0.2b
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
0.2b
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
0.2b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (*.f64 1/3 (*.f64 3 (+.f64 (cos.f64 eps) -1))) (sin.f64 x)))
50.1b
(-.f64 (pow.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) 2) (sin.f64 x))
60.4b
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 x) 2)) (sin.f64 x))
✓0.2b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) (sin.f64 x)))
24.9b
(-.f64 (+.f64 (log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (cos.f64 eps))))) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
29.7b
(*.f64 eps (+.f64 (*.f64 -1/2 (*.f64 eps (sin.f64 x))) (cos.f64 x)))
29.5b
(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)))
28.4b
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
✓27.7b
(sin.f64 eps)
50.4b
(fabs.f64 eps)
27.9b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (*.f64 eps eps))) (sin.f64 x)))
0.2b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (log.f64 (exp.f64 (cos.f64 eps))) -1) (sin.f64 x)))
52.5b
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
39.3b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
✓0.2b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
47.3b
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
30.8b
(+.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)))))
60.9b
(-.f64 (+.f64 1 eps) 1)
✓23.8b
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
23.8b
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
23.9b
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))))
✓37.7b
(-.f64 (+.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
0.2b
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
40.3b
(-.f64 (fma.f64 (cos.f64 eps) x (*.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) 1) (sin.f64 eps))) x)
61.3b
(/.f64 (-.f64 (*.f64 (+.f64 1 eps) (+.f64 1 eps)) 1) (+.f64 (+.f64 1 eps) 1))
42.8b
(expm1.f64 (log1p.f64 eps))
Compiler

Compiled 739 to 519 computations (29.8% saved)

regimes553.0ms (3.8%)

Counts
126 → 1
Calls
Call 1
Inputs
eps
eps
(-.f64 (+.f64 1 eps) 1)
(/.f64 (-.f64 (*.f64 (+.f64 1 eps) (+.f64 1 eps)) 1) (+.f64 (+.f64 1 eps) 1))
(fabs.f64 eps)
(sin.f64 eps)
(*.f64 (cos.f64 x) eps)
(expm1.f64 (log1p.f64 eps))
(pow.f64 (cbrt.f64 eps) 3)
(pow.f64 (sqrt.f64 eps) 2)
(-.f64 (sin.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 eps) (cos.f64 x))
(log1p.f64 (*.f64 (cos.f64 x) eps))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (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 (*.f64 -1/2 (*.f64 eps (sin.f64 x))) (cos.f64 x)))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 -1/2 eps))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (*.f64 -1/2 (sin.f64 x)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x)))))
(+.f64 eps (+.f64 (*.f64 1/24 (*.f64 eps (pow.f64 x 4))) (*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
(log1p.f64 (-.f64 (exp.f64 (sin.f64 eps)) 1))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(-.f64 (fabs.f64 (sin.f64 (+.f64 x eps))) (sin.f64 x))
(*.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 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 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (+.f64 x eps)))))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 eps) x (*.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) 1) (sin.f64 eps))) x)
(-.f64 (fma.f64 x (cos.f64 eps) (*.f64 (sin.f64 eps) (+.f64 1 (*.f64 x (*.f64 x -1/2))))) 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))))
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 eps) 2)) (sin.f64 x))
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 x) 2)) (sin.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))) 3)
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (pow.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) 2) (sin.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
(-.f64 (cbrt.f64 (pow.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 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3)) (sin.f64 x))
(+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (sin.f64 x))
(pow.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1/3) 3)
(-.f64 (+.f64 (sin.f64 x) (*.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))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1) (sin.f64 x))
(+.f64 (*.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 (*.f64 (cos.f64 eps) x) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x)))))) 3)
(fma.f64 x (+.f64 (cos.f64 eps) (*.f64 x (*.f64 (sin.f64 eps) -1/2))) (-.f64 (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) (sin.f64 eps)))
(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 -1/2 (*.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 (*.f64 eps (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)))
(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 (sin.f64 eps) (cos.f64 x)))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps)))) (exp.f64 (sin.f64 x))))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (*.f64 1/3 (*.f64 3 (+.f64 (cos.f64 eps) -1))) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (*.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 (sin.f64 x) (+.f64 (*.f64 eps (*.f64 eps -1/2)) (*.f64 (pow.f64 eps 4) 1/24))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))))
(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 (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)))))
(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 (log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (log.f64 (exp.f64 (cos.f64 eps))) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (log1p.f64 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(pow.f64 (cbrt.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 (+.f64 (log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(-.f64 (+.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 3) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(-.f64 (+.f64 (log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (cos.f64 eps))))) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(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)))
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))))
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))) 3)
(-.f64 (fma.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (cos.f64 eps)) 3) (*.f64 (cos.f64 x) (sin.f64 eps))) (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))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (cos.f64 eps)))) (sin.f64 x))
(fma.f64 (*.f64 (sin.f64 eps) (cbrt.f64 (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (cos.f64 x)) (-.f64 (sin.f64 x) (sin.f64 x)))
(log.f64 (*.f64 (exp.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))) (pow.f64 (exp.f64 (sin.f64 x)) (cos.f64 eps))))
(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 (cos.f64 x) (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sin.f64 eps)) (fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (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 (fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(fma.f64 (*.f64 (sin.f64 eps) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)) (fma.f64 (sin.f64 x) (cos.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))) (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (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))
(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)))
(log1p.f64 (+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/2 (pow.f64 (cos.f64 x) 2)))) (+.f64 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 -1/6 (pow.f64 (cos.f64 x) 2)) (+.f64 (*.f64 1/8 (pow.f64 (sin.f64 x) 2)) (+.f64 (*.f64 1/24 (sin.f64 x)) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 x))) (*.f64 1/24 (pow.f64 (cos.f64 x) 4))))))) (+.f64 (*.f64 (cos.f64 x) eps) (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (pow.f64 (cos.f64 x) 3)) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 x) (sin.f64 x))) (*.f64 -1/6 (cos.f64 x)))))))))
Outputs
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) (sin.f64 x)))
Calls

4 calls:

239.0ms
x
172.0ms
eps
50.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
43.0ms
(-.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 1660 to 612 computations (63.1% saved)

regimes400.0ms (2.8%)

Counts
99 → 1
Calls
Call 1
Inputs
eps
eps
(-.f64 (+.f64 1 eps) 1)
(/.f64 (-.f64 (*.f64 (+.f64 1 eps) (+.f64 1 eps)) 1) (+.f64 (+.f64 1 eps) 1))
(fabs.f64 eps)
(sin.f64 eps)
(*.f64 (cos.f64 x) eps)
(expm1.f64 (log1p.f64 eps))
(pow.f64 (cbrt.f64 eps) 3)
(pow.f64 (sqrt.f64 eps) 2)
(-.f64 (sin.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 eps) (cos.f64 x))
(log1p.f64 (*.f64 (cos.f64 x) eps))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (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 (*.f64 -1/2 (*.f64 eps (sin.f64 x))) (cos.f64 x)))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 -1/2 eps))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (*.f64 -1/2 (sin.f64 x)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x)))))
(+.f64 eps (+.f64 (*.f64 1/24 (*.f64 eps (pow.f64 x 4))) (*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
(log1p.f64 (-.f64 (exp.f64 (sin.f64 eps)) 1))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(-.f64 (fabs.f64 (sin.f64 (+.f64 x eps))) (sin.f64 x))
(*.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 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 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (+.f64 x eps)))))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 eps) x (*.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) 1) (sin.f64 eps))) x)
(-.f64 (fma.f64 x (cos.f64 eps) (*.f64 (sin.f64 eps) (+.f64 1 (*.f64 x (*.f64 x -1/2))))) 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))))
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 eps) 2)) (sin.f64 x))
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 x) 2)) (sin.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))) 3)
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (pow.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) 2) (sin.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
(-.f64 (cbrt.f64 (pow.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 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3)) (sin.f64 x))
(+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (sin.f64 x))
(pow.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1/3) 3)
(-.f64 (+.f64 (sin.f64 x) (*.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))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1) (sin.f64 x))
(+.f64 (*.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 (*.f64 (cos.f64 eps) x) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x)))))) 3)
(fma.f64 x (+.f64 (cos.f64 eps) (*.f64 x (*.f64 (sin.f64 eps) -1/2))) (-.f64 (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) (sin.f64 eps)))
(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 -1/2 (*.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 (*.f64 eps (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)))
(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 (sin.f64 eps) (cos.f64 x)))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps)))) (exp.f64 (sin.f64 x))))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (*.f64 1/3 (*.f64 3 (+.f64 (cos.f64 eps) -1))) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (*.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 (sin.f64 x) (+.f64 (*.f64 eps (*.f64 eps -1/2)) (*.f64 (pow.f64 eps 4) 1/24))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))))
(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 (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)))))
(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 (log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) (sin.f64 x)))
Outputs
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
Calls

4 calls:

80.0ms
x
76.0ms
eps
37.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
31.0ms
(-.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 1107 to 445 computations (59.8% saved)

regimes360.0ms (2.5%)

Counts
79 → 1
Calls
Call 1
Inputs
eps
eps
(-.f64 (+.f64 1 eps) 1)
(/.f64 (-.f64 (*.f64 (+.f64 1 eps) (+.f64 1 eps)) 1) (+.f64 (+.f64 1 eps) 1))
(fabs.f64 eps)
(sin.f64 eps)
(*.f64 (cos.f64 x) eps)
(expm1.f64 (log1p.f64 eps))
(pow.f64 (cbrt.f64 eps) 3)
(pow.f64 (sqrt.f64 eps) 2)
(-.f64 (sin.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 eps) (cos.f64 x))
(log1p.f64 (*.f64 (cos.f64 x) eps))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (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 (*.f64 -1/2 (*.f64 eps (sin.f64 x))) (cos.f64 x)))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 -1/2 eps))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (*.f64 -1/2 (sin.f64 x)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x)))))
(+.f64 eps (+.f64 (*.f64 1/24 (*.f64 eps (pow.f64 x 4))) (*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
(log1p.f64 (-.f64 (exp.f64 (sin.f64 eps)) 1))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(-.f64 (fabs.f64 (sin.f64 (+.f64 x eps))) (sin.f64 x))
(*.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 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 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (+.f64 x eps)))))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 eps) x (*.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) 1) (sin.f64 eps))) x)
(-.f64 (fma.f64 x (cos.f64 eps) (*.f64 (sin.f64 eps) (+.f64 1 (*.f64 x (*.f64 x -1/2))))) 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))))
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 eps) 2)) (sin.f64 x))
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 x) 2)) (sin.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))) 3)
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (pow.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) 2) (sin.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
(-.f64 (cbrt.f64 (pow.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 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3)) (sin.f64 x))
(+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (sin.f64 x))
(pow.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1/3) 3)
(-.f64 (+.f64 (sin.f64 x) (*.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))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1) (sin.f64 x))
(+.f64 (*.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 (*.f64 (cos.f64 eps) x) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x)))))) 3)
(fma.f64 x (+.f64 (cos.f64 eps) (*.f64 x (*.f64 (sin.f64 eps) -1/2))) (-.f64 (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) (sin.f64 eps)))
(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 -1/2 (*.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 (*.f64 eps (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)))
Outputs
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
Calls

4 calls:

205.0ms
eps
53.0ms
x
52.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
24.0ms
(-.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 808 to 351 computations (56.6% saved)

regimes146.0ms (1%)

Counts
67 → 1
Calls
Call 1
Inputs
eps
eps
(-.f64 (+.f64 1 eps) 1)
(/.f64 (-.f64 (*.f64 (+.f64 1 eps) (+.f64 1 eps)) 1) (+.f64 (+.f64 1 eps) 1))
(fabs.f64 eps)
(sin.f64 eps)
(*.f64 (cos.f64 x) eps)
(expm1.f64 (log1p.f64 eps))
(pow.f64 (cbrt.f64 eps) 3)
(pow.f64 (sqrt.f64 eps) 2)
(-.f64 (sin.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 eps) (cos.f64 x))
(log1p.f64 (*.f64 (cos.f64 x) eps))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (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 (*.f64 -1/2 (*.f64 eps (sin.f64 x))) (cos.f64 x)))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 -1/2 eps))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (*.f64 -1/2 (sin.f64 x)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x)))))
(+.f64 eps (+.f64 (*.f64 1/24 (*.f64 eps (pow.f64 x 4))) (*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
(log1p.f64 (-.f64 (exp.f64 (sin.f64 eps)) 1))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(-.f64 (fabs.f64 (sin.f64 (+.f64 x eps))) (sin.f64 x))
(*.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 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 (sqrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (+.f64 x eps)))))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 eps) x (*.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) 1) (sin.f64 eps))) x)
(-.f64 (fma.f64 x (cos.f64 eps) (*.f64 (sin.f64 eps) (+.f64 1 (*.f64 x (*.f64 x -1/2))))) 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))))
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 eps) 2)) (sin.f64 x))
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 x) 2)) (sin.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))) 3)
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (pow.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) 2) (sin.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
(-.f64 (cbrt.f64 (pow.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 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3)) (sin.f64 x))
(+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (sin.f64 x))
(pow.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1/3) 3)
(-.f64 (+.f64 (sin.f64 x) (*.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))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1) (sin.f64 x))
Outputs
(*.f64 (sin.f64 eps) (cos.f64 x))
Calls

4 calls:

43.0ms
eps
41.0ms
x
24.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
20.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
ErrorSegmentsBranch
14.2b1x
14.2b1eps
14.2b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
14.2b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 616 to 263 computations (57.3% saved)

regimes59.0ms (0.4%)

Counts
11 → 3
Calls
Call 1
Inputs
eps
eps
(-.f64 (+.f64 1 eps) 1)
(/.f64 (-.f64 (*.f64 (+.f64 1 eps) (+.f64 1 eps)) 1) (+.f64 (+.f64 1 eps) 1))
(fabs.f64 eps)
(sin.f64 eps)
(*.f64 (cos.f64 x) eps)
(expm1.f64 (log1p.f64 eps))
(pow.f64 (cbrt.f64 eps) 3)
(pow.f64 (sqrt.f64 eps) 2)
(-.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:

37.0ms
eps
20.0ms
x
Results
ErrorSegmentsBranch
16.4b3x
14.4b3eps
Compiler

Compiled 54 to 36 computations (33.3% saved)

bsearch126.0ms (0.9%)

Algorithm
2×binary-search
Steps
TimeLeftRight
62.0ms
3.0242574530104072e-21
1.9058074573595068e-17
63.0ms
-32398.958357700376
-0.000620855993743819
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes39.0ms (0.3%)

Counts
10 → 3
Calls
Call 1
Inputs
eps
eps
(-.f64 (+.f64 1 eps) 1)
(/.f64 (-.f64 (*.f64 (+.f64 1 eps) (+.f64 1 eps)) 1) (+.f64 (+.f64 1 eps) 1))
(fabs.f64 eps)
(sin.f64 eps)
(*.f64 (cos.f64 x) eps)
(expm1.f64 (log1p.f64 eps))
(pow.f64 (cbrt.f64 eps) 3)
(pow.f64 (sqrt.f64 eps) 2)
Outputs
(sin.f64 eps)
(*.f64 (cos.f64 x) eps)
(sin.f64 eps)
Calls

2 calls:

18.0ms
eps
18.0ms
x
Results
ErrorSegmentsBranch
16.4b3x
14.7b3eps
Compiler

Compiled 49 to 34 computations (30.6% saved)

bsearch118.0ms (0.8%)

Algorithm
2×binary-search
Steps
TimeLeftRight
64.0ms
3.0242574530104072e-21
1.9058074573595068e-17
53.0ms
-225314.06166939938
-32398.958357700376
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes12.0ms (0.1%)

Counts
6 → 1
Calls
Call 1
Inputs
eps
eps
(-.f64 (+.f64 1 eps) 1)
(/.f64 (-.f64 (*.f64 (+.f64 1 eps) (+.f64 1 eps)) 1) (+.f64 (+.f64 1 eps) 1))
(fabs.f64 eps)
(sin.f64 eps)
Outputs
(sin.f64 eps)
Calls

2 calls:

5.0ms
eps
5.0ms
x
Results
ErrorSegmentsBranch
27.7b1x
27.7b1eps
Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes12.0ms (0.1%)

Accuracy

Total -19.5b remaining (-46%)

Threshold costs -19.5b (-46%)

Counts
5 → 1
Calls
Call 1
Inputs
eps
eps
(-.f64 (+.f64 1 eps) 1)
(/.f64 (-.f64 (*.f64 (+.f64 1 eps) (+.f64 1 eps)) 1) (+.f64 (+.f64 1 eps) 1))
(fabs.f64 eps)
Outputs
eps
Calls

2 calls:

6.0ms
x
4.0ms
eps
Results
ErrorSegmentsBranch
42.4b1x
42.4b1eps
Compiler

Compiled 32 to 23 computations (28.1% saved)

simplify11.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
5×*-commutative_binary64
4×+-commutative_binary64
2×sub-neg_binary64
1×neg-sub0_binary64
1×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030133
138133
242133
344133
445133
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(*.f64 (sin.f64 eps) (cos.f64 x))
(if (<=.f64 eps -8905757860530495/274877906944) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 2009963836501309/664613997892457936451903530140172288) (*.f64 (cos.f64 x) eps) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -1935433052397995/8589934592) (sin.f64 eps) (if (<=.f64 eps 2009963836501309/664613997892457936451903530140172288) (*.f64 (cos.f64 x) eps) (sin.f64 eps)))
(sin.f64 eps)
eps
Outputs
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(*.f64 (sin.f64 eps) (cos.f64 x))
(if (<=.f64 eps -8905757860530495/274877906944) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 2009963836501309/664613997892457936451903530140172288) (*.f64 (cos.f64 x) eps) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -8905757860530495/274877906944) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 2009963836501309/664613997892457936451903530140172288) (*.f64 eps (cos.f64 x)) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -1935433052397995/8589934592) (sin.f64 eps) (if (<=.f64 eps 2009963836501309/664613997892457936451903530140172288) (*.f64 (cos.f64 x) eps) (sin.f64 eps)))
(if (<=.f64 eps -1935433052397995/8589934592) (sin.f64 eps) (if (<=.f64 eps 2009963836501309/664613997892457936451903530140172288) (*.f64 eps (cos.f64 x)) (sin.f64 eps)))
(sin.f64 eps)
eps
Compiler

Compiled 101 to 67 computations (33.7% saved)

soundness110.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
606×fma-def_binary64
492×unswap-sqr_binary64
484×*-commutative_binary64
352×associate-+l+_binary64
339×distribute-rgt-out_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
0981128
12851106
27791021
325501017
445111017
558961016
679661016
Stop Event
1×node limit
Compiler

Compiled 137 to 91 computations (33.6% saved)

end55.0ms (0.4%)

Compiler

Compiled 87 to 35 computations (59.8% saved)

Profiling

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