Details

Time bar (total: 14.7s)

analyze0.0ms (0%)

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

Compiled 10 to 7 computations (30% saved)

sample4.3s (29.3%)

Results
2.1s3659×body1024valid
1.3s1259×body2048valid
478.0ms1419×body512valid
344.0ms1918×body256valid
3.0msbody4096valid

preprocess30.0ms (0.2%)

Algorithm
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
saturated
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)

simplify12.0ms (0.1%)

Algorithm
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
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
40.4b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
40.4b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
1.4b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
4.6b
(sin.f64 (+.f64 x eps))
Compiler

Compiled 20 to 6 computations (70% saved)

series5.0ms (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
x
@0
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

rewrite93.0ms (0.6%)

Algorithm
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
node limit
Counts
2 → 171
Calls
Call 1
Inputs
(sin.f64 (+.f64 x eps))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 1) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (+.f64 x eps))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (+.f64 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (+.f64 x eps)))) (cos.f64 1)) (*.f64 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(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)))))))

simplify65.0ms (0.4%)

Algorithm
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
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))

eval87.0ms (0.6%)

Compiler

Compiled 3642 to 1131 computations (68.9% saved)

prune188.0ms (1.3%)

Pruning

34 alts after pruning (33 fresh and 1 done)

PrunedKeptTotal
New17233205
Fresh000
Picked011
Done000
Total17234206
Error
0.2b
Counts
206 → 34
Alt Table
Click to see full alt table
StatusErrorProgram
22.4b
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
41.1b
(-.f64 (fma.f64 (cos.f64 eps) x (sin.f64 eps)) x)
22.4b
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
32.0b
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
41.5b
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
40.4b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
33.8b
(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)))))
40.3b
(-.f64 (sin.f64 eps) (sin.f64 x))
45.5b
(log.f64 (*.f64 (exp.f64 (neg.f64 (sin.f64 x))) (exp.f64 (sin.f64 (+.f64 x eps)))))
27.9b
(-.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))
48.8b
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
33.6b
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x)))))
45.6b
(log.f64 (/.f64 (exp.f64 (sin.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 (sin.f64 x)))))
22.4b
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
22.4b
(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
40.8b
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
33.5b
(*.f64 (cos.f64 x) eps)
61.3b
(-.f64 (sin.f64 x) (sin.f64 x))
22.4b
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
45.5b
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
40.4b
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
45.7b
(-.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1) (sin.f64 x))
49.8b
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
23.0b
(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)))
40.5b
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
23.0b
(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)))
41.6b
(*.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))))
43.1b
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3)) (sin.f64 x))
41.6b
(-.f64 (fma.f64 x (+.f64 (cos.f64 eps) (*.f64 x (*.f64 (sin.f64 eps) -1/2))) (sin.f64 eps)) x)
40.8b
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
33.8b
(fma.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))) (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)))
45.6b
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
50.7b
(-.f64 (pow.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) 2) (sin.f64 x))
40.9b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
Compiler

Compiled 951 to 648 computations (31.9% saved)

localize29.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps)))
0.2b
(*.f64 (sin.f64 x) (cos.f64 eps))
3.6b
(-.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)

series19.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
2.0ms
x
@inf
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
2.0ms
eps
@inf
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
2.0ms
eps
@-inf
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
1.0ms
eps
@0
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))

rewrite154.0ms (1%)

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

Useful iterations: 1 (0.0ms)

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

simplify149.0ms (1%)

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

Useful iterations: 5 (0.0ms)

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

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 10 to 4 computations (60% saved)

series7.0ms (0%)

Counts
1 → 8
Calls

6 calls:

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

rewrite65.0ms (0.4%)

Algorithm
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
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 exp.f64 (log.f64 (*.f64 (cos.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) eps)))))))

simplify144.0ms (1%)

Algorithm
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
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))

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
0.7b
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
1.4b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
4.6b
(sin.f64 (+.f64 x eps))
Compiler

Compiled 37 to 8 computations (78.4% saved)

series5.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite108.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0924
119724
2294424
Stop Event
node limit
Counts
2 → 186
Calls
Call 1
Inputs
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (+.f64 x eps)) (*.f64 (neg.f64 (sin.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (*.f64 2 (*.f64 1/3 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))))) (#(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 (*.f64 1/2 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (*.f64 1/2 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 1/3 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (*.f64 1/3 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 (exp.f64 (sin.f64 x)) (exp.f64 (sin.f64 (+.f64 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))) (/.f64 (pow.f64 (sin.f64 x) 3) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (neg.f64 (exp.f64 (sin.f64 (+.f64 x eps))))) (log.f64 (neg.f64 (exp.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 1/3 (-.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) 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simplify60.0ms (0.4%)

Algorithm
egg-herbie
Rules
685×distribute-rgt-neg-out_binary64
595×fma-def_binary64
572×distribute-lft-neg-out_binary64
495×associate-*r*_binary64
463×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
099836
1296820
2885789
34676789
Stop Event
node limit
Counts
234 → 221
Calls
Call 1
Inputs
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(exp.f64 (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) (*.f64 x (exp.f64 (sin.f64 eps)))) (exp.f64 (sin.f64 eps)))
(+.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))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) (+.f64 1/6 (+.f64 (*.f64 1/6 (pow.f64 (-.f64 (cos.f64 eps) 1) 3)) (*.f64 -1/2 (*.f64 (-.f64 (cos.f64 eps) 1) (sin.f64 eps)))))) (*.f64 (pow.f64 x 3) (exp.f64 (sin.f64 eps)))) (+.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)))))
(exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(exp.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)))
(exp.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)))
(exp.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)))
(exp.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)))
1
(+.f64 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 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 1 (+.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))))))))
(exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(exp.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)))
(exp.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)))
(exp.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)))
(exp.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)))
Outputs
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps)))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (*.f64 x x) (*.f64 (sin.f64 eps) -1/2) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (*.f64 -1/2 (*.f64 x x)) (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 (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 (sin.f64 eps) (*.f64 -1/2 (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3) (sin.f64 eps))))
(-.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 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (*.f64 -1/2 (sin.f64 x)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)))))
(+.f64 (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(fma.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(fma.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (+.f64 (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))))
(fma.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 (sin.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 1/24 (pow.f64 eps 4)))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(exp.f64 (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) (*.f64 x (exp.f64 (sin.f64 eps)))) (exp.f64 (sin.f64 eps)))
(fma.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (exp.f64 (sin.f64 eps))) (exp.f64 (sin.f64 eps)))
(*.f64 (+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) 1) (exp.f64 (sin.f64 eps)))
(*.f64 (exp.f64 (sin.f64 eps)) (fma.f64 (+.f64 (cos.f64 eps) -1) x 1))
(+.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))))
(fma.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (exp.f64 (sin.f64 eps))) (fma.f64 (fma.f64 1/2 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (*.f64 (sin.f64 eps) -1/2)) (*.f64 (*.f64 x x) (exp.f64 (sin.f64 eps))) (exp.f64 (sin.f64 eps))))
(+.f64 (exp.f64 (sin.f64 eps)) (*.f64 (exp.f64 (sin.f64 eps)) (+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) (*.f64 (*.f64 x x) (fma.f64 (sin.f64 eps) -1/2 (*.f64 1/2 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))))))
(*.f64 (exp.f64 (sin.f64 eps)) (+.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) x 1) (*.f64 (*.f64 x x) (fma.f64 (sin.f64 eps) -1/2 (*.f64 1/2 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))))))
(*.f64 (exp.f64 (sin.f64 eps)) (+.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) x 1) (*.f64 x (*.f64 x (fma.f64 (sin.f64 eps) -1/2 (*.f64 1/2 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) (+.f64 1/6 (+.f64 (*.f64 1/6 (pow.f64 (-.f64 (cos.f64 eps) 1) 3)) (*.f64 -1/2 (*.f64 (-.f64 (cos.f64 eps) 1) (sin.f64 eps)))))) (*.f64 (pow.f64 x 3) (exp.f64 (sin.f64 eps)))) (+.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)))))
(fma.f64 (+.f64 (fma.f64 -1/6 (cos.f64 eps) 1/6) (fma.f64 1/6 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) (*.f64 (*.f64 -1/2 (+.f64 (cos.f64 eps) -1)) (sin.f64 eps)))) (*.f64 (pow.f64 x 3) (exp.f64 (sin.f64 eps))) (fma.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (exp.f64 (sin.f64 eps))) (fma.f64 (fma.f64 1/2 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (*.f64 (sin.f64 eps) -1/2)) (*.f64 (*.f64 x x) (exp.f64 (sin.f64 eps))) (exp.f64 (sin.f64 eps)))))
(+.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 (sin.f64 eps) -1/2 (*.f64 1/2 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))) 1) (exp.f64 (sin.f64 eps))) (*.f64 (exp.f64 (sin.f64 eps)) (+.f64 (*.f64 (pow.f64 x 3) (+.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (fma.f64 1/6 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) (*.f64 (sin.f64 eps) (+.f64 (*.f64 (cos.f64 eps) -1/2) 1/2))))) (*.f64 (+.f64 (cos.f64 eps) -1) x))))
(fma.f64 (exp.f64 (sin.f64 eps)) (fma.f64 (pow.f64 x 3) (fma.f64 (cos.f64 eps) -1/6 (fma.f64 1/6 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) (fma.f64 (sin.f64 eps) (fma.f64 (cos.f64 eps) -1/2 1/2) 1/6))) (-.f64 (*.f64 (cos.f64 eps) x) x)) (*.f64 (exp.f64 (sin.f64 eps)) (fma.f64 (*.f64 x x) (fma.f64 (sin.f64 eps) -1/2 (*.f64 1/2 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) 1)))
(exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(exp.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)))
(exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(exp.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)))
(exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(exp.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)))
(exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(exp.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)))
(exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
1
(+.f64 1 (*.f64 (cos.f64 x) eps))
(+.f64 1 (*.f64 eps (cos.f64 x)))
(fma.f64 eps (cos.f64 x) 1)
(+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/2 (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (*.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 1 (*.f64 eps (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 eps (cos.f64 x) 1))
(fma.f64 eps (cos.f64 x) (fma.f64 eps (*.f64 eps (fma.f64 -1/2 (sin.f64 x) (*.f64 1/2 (pow.f64 (cos.f64 x) 2)))) 1))
(fma.f64 eps (*.f64 eps (fma.f64 -1/2 (sin.f64 x) (*.f64 1/2 (pow.f64 (cos.f64 x) 2)))) (fma.f64 eps (cos.f64 x) 1))
(+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/2 (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (+.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))) (+.f64 1 (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))))))))
(+.f64 (fma.f64 (*.f64 eps eps) (fma.f64 -1/2 (sin.f64 x) (*.f64 1/2 (pow.f64 (cos.f64 x) 2))) (fma.f64 eps (cos.f64 x) 1)) (*.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 eps (*.f64 eps (fma.f64 -1/2 (sin.f64 x) (*.f64 1/2 (pow.f64 (cos.f64 x) 2)))) (fma.f64 eps (cos.f64 x) (fma.f64 (pow.f64 eps 3) (fma.f64 1/6 (pow.f64 (cos.f64 x) 3) (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (sin.f64 x)) -1/6))) 1)))
(exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(exp.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)))
(exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(exp.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)))
(exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(exp.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)))
(exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(exp.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)))
(exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))

localize55.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (sin.f64 (+.f64 x eps)))
0.2b
(pow.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) 2)
4.6b
(sin.f64 (+.f64 x eps))
9.8b
(-.f64 (pow.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) 2) (sin.f64 x))
Compiler

Compiled 36 to 12 computations (66.7% saved)

series13.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
4.0ms
eps
@0
(-.f64 (pow.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) 2) (sin.f64 x))
1.0ms
x
@0
(-.f64 (pow.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) 2) (sin.f64 x))
1.0ms
x
@inf
(-.f64 (pow.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) 2) (sin.f64 x))
1.0ms
eps
@inf
(-.f64 (pow.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) 2) (sin.f64 x))
1.0ms
eps
@-inf
(-.f64 (pow.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) 2) (sin.f64 x))

rewrite97.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
467×log-prod_binary64
396×fma-def_binary64
350×exp-prod_binary64
316×pow-prod-down_binary64
280×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01025
123025
2292825
Stop Event
node limit
Counts
3 → 198
Calls
Call 1
Inputs
(-.f64 (pow.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) 2) (sin.f64 x))
(pow.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) 2)
(sqrt.f64 (sin.f64 (+.f64 x eps)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (+.f64 x eps)) (*.f64 (neg.f64 (sin.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) 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simplify106.0ms (0.7%)

Algorithm
egg-herbie
Rules
749×associate-*r*_binary64
715×associate-*l*_binary64
713×fma-def_binary64
408×unsub-neg_binary64
323×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01381578
14081546
212121423
367021423
Stop Event
node limit
Counts
270 → 249
Calls
Call 1
Inputs
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (cos.f64 eps) 2) (sin.f64 eps))) (*.f64 -1/2 (sin.f64 eps))) (pow.f64 (*.f64 1/2 (*.f64 (cos.f64 eps) (sqrt.f64 (/.f64 1 (sin.f64 eps))))) 2)) (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)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (cos.f64 eps) 2) (sin.f64 eps))) (*.f64 -1/2 (sin.f64 eps))) (pow.f64 (*.f64 1/2 (*.f64 (cos.f64 eps) (sqrt.f64 (/.f64 1 (sin.f64 eps))))) 2)) (pow.f64 x 2)) (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 (-.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 x))) (*.f64 -1/2 (sin.f64 x))) (pow.f64 (*.f64 1/2 (*.f64 (cos.f64 x) (sqrt.f64 (/.f64 1 (sin.f64 x))))) 2)) (pow.f64 eps 2)))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 (-.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 x))) (*.f64 -1/2 (sin.f64 x))) (pow.f64 (*.f64 1/2 (*.f64 (cos.f64 x) (sqrt.f64 (/.f64 1 (sin.f64 x))))) 2)) (pow.f64 eps 2))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 (pow.f64 eps 4) (-.f64 (+.f64 (*.f64 1/24 (sin.f64 x)) (*.f64 1/4 (/.f64 (pow.f64 (-.f64 (*.f64 -1/2 (sin.f64 x)) (pow.f64 (*.f64 1/2 (*.f64 (cos.f64 x) (sqrt.f64 (/.f64 1 (sin.f64 x))))) 2)) 2) (sin.f64 x)))) (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (-.f64 (*.f64 -1/2 (sin.f64 x)) (pow.f64 (*.f64 1/2 (*.f64 (cos.f64 x) (sqrt.f64 (/.f64 1 (sin.f64 x))))) 2)))) 2))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 (-.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 x))) (*.f64 -1/2 (sin.f64 x))) (pow.f64 (*.f64 1/2 (*.f64 (cos.f64 x) (sqrt.f64 (/.f64 1 (sin.f64 x))))) 2)) (pow.f64 eps 2)))))
(-.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))
(sin.f64 eps)
(+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))
(+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (cos.f64 eps) 2) (sin.f64 eps))) (*.f64 -1/2 (sin.f64 eps))) (pow.f64 (*.f64 1/2 (*.f64 (cos.f64 eps) (sqrt.f64 (/.f64 1 (sin.f64 eps))))) 2)) (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))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (cos.f64 eps) 2) (sin.f64 eps))) (*.f64 -1/2 (sin.f64 eps))) (pow.f64 (*.f64 1/2 (*.f64 (cos.f64 eps) (sqrt.f64 (/.f64 1 (sin.f64 eps))))) 2)) (pow.f64 x 2)) (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 (-.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 x))) (*.f64 -1/2 (sin.f64 x))) (pow.f64 (*.f64 1/2 (*.f64 (cos.f64 x) (sqrt.f64 (/.f64 1 (sin.f64 x))))) 2)) (pow.f64 eps 2))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 (-.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 x))) (*.f64 -1/2 (sin.f64 x))) (pow.f64 (*.f64 1/2 (*.f64 (cos.f64 x) (sqrt.f64 (/.f64 1 (sin.f64 x))))) 2)) (pow.f64 eps 2)))))
(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)))
(sqrt.f64 (sin.f64 eps))
(+.f64 (*.f64 1/2 (*.f64 (*.f64 (cos.f64 eps) x) (sqrt.f64 (/.f64 1 (sin.f64 eps))))) (sqrt.f64 (sin.f64 eps)))
(+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 (*.f64 -1/2 (sin.f64 eps)) (pow.f64 (*.f64 1/2 (*.f64 (cos.f64 eps) (sqrt.f64 (/.f64 1 (sin.f64 eps))))) 2)) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (sin.f64 eps))))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (cos.f64 eps) x) (sqrt.f64 (/.f64 1 (sin.f64 eps))))) (sqrt.f64 (sin.f64 eps))))
(+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 (*.f64 -1/6 (cos.f64 eps)) (*.f64 1/2 (/.f64 (*.f64 (cos.f64 eps) (-.f64 (*.f64 -1/2 (sin.f64 eps)) (pow.f64 (*.f64 1/2 (*.f64 (cos.f64 eps) (sqrt.f64 (/.f64 1 (sin.f64 eps))))) 2))) (sin.f64 eps)))) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (sin.f64 eps))))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 (*.f64 -1/2 (sin.f64 eps)) (pow.f64 (*.f64 1/2 (*.f64 (cos.f64 eps) (sqrt.f64 (/.f64 1 (sin.f64 eps))))) 2)) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (sin.f64 eps))))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (cos.f64 eps) x) (sqrt.f64 (/.f64 1 (sin.f64 eps))))) (sqrt.f64 (sin.f64 eps)))))
(sqrt.f64 (sin.f64 (+.f64 eps x)))
(sqrt.f64 (sin.f64 (+.f64 eps x)))
(sqrt.f64 (sin.f64 (+.f64 eps x)))
(sqrt.f64 (sin.f64 (+.f64 eps x)))
(sqrt.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))))
(sqrt.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))))
(sqrt.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))))
(sqrt.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))))
(sqrt.f64 (sin.f64 x))
(+.f64 (*.f64 1/2 (*.f64 (*.f64 (cos.f64 x) eps) (sqrt.f64 (/.f64 1 (sin.f64 x))))) (sqrt.f64 (sin.f64 x)))
(+.f64 (*.f64 1/2 (*.f64 (*.f64 (cos.f64 x) eps) (sqrt.f64 (/.f64 1 (sin.f64 x))))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 -1/2 (sin.f64 x)) (pow.f64 (*.f64 1/2 (*.f64 (cos.f64 x) (sqrt.f64 (/.f64 1 (sin.f64 x))))) 2))) (sqrt.f64 (/.f64 1 (sin.f64 x))))) (sqrt.f64 (sin.f64 x))))
(+.f64 (*.f64 1/2 (*.f64 (*.f64 (cos.f64 x) eps) (sqrt.f64 (/.f64 1 (sin.f64 x))))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (*.f64 -1/2 (sin.f64 x)) (pow.f64 (*.f64 1/2 (*.f64 (cos.f64 x) (sqrt.f64 (/.f64 1 (sin.f64 x))))) 2))) (sin.f64 x))))) (sqrt.f64 (/.f64 1 (sin.f64 x))))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 -1/2 (sin.f64 x)) (pow.f64 (*.f64 1/2 (*.f64 (cos.f64 x) (sqrt.f64 (/.f64 1 (sin.f64 x))))) 2))) (sqrt.f64 (/.f64 1 (sin.f64 x))))) (sqrt.f64 (sin.f64 x)))))
(sqrt.f64 (sin.f64 (+.f64 eps x)))
(sqrt.f64 (sin.f64 (+.f64 eps x)))
(sqrt.f64 (sin.f64 (+.f64 eps x)))
(sqrt.f64 (sin.f64 (+.f64 eps x)))
(sqrt.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))))
(sqrt.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))))
(sqrt.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))))
(sqrt.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))))
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 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (cos.f64 eps) 2) (sin.f64 eps))) (*.f64 -1/2 (sin.f64 eps))) (pow.f64 (*.f64 1/2 (*.f64 (cos.f64 eps) (sqrt.f64 (/.f64 1 (sin.f64 eps))))) 2)) (pow.f64 x 2)) (sin.f64 eps)))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (-.f64 (fma.f64 1/4 (/.f64 (pow.f64 (cos.f64 eps) 2) (sin.f64 eps)) (*.f64 (sin.f64 eps) -1/2)) (pow.f64 (*.f64 (*.f64 1/2 (cos.f64 eps)) (sqrt.f64 (/.f64 1 (sin.f64 eps)))) 2)) (*.f64 x x) (sin.f64 eps)))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (-.f64 (fma.f64 1/4 (/.f64 (pow.f64 (cos.f64 eps) 2) (sin.f64 eps)) (*.f64 (sin.f64 eps) -1/2)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 eps))) (*.f64 (cos.f64 eps) 1/2)) 2)) (*.f64 x x) (sin.f64 eps)))
(fma.f64 x (*.f64 x (fma.f64 (sin.f64 eps) -1/2 (*.f64 1/4 (-.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (sin.f64 eps)) (*.f64 (pow.f64 (cos.f64 eps) 2) (/.f64 1 (sin.f64 eps))))))) (fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps)))
(fma.f64 x (*.f64 x (fma.f64 (sin.f64 eps) -1/2 (*.f64 1/4 (-.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (sin.f64 eps)) (*.f64 (pow.f64 (cos.f64 eps) 2) (/.f64 1 (sin.f64 eps))))))) (-.f64 (fma.f64 (cos.f64 eps) x (sin.f64 eps)) x))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (cos.f64 eps) 2) (sin.f64 eps))) (*.f64 -1/2 (sin.f64 eps))) (pow.f64 (*.f64 1/2 (*.f64 (cos.f64 eps) (sqrt.f64 (/.f64 1 (sin.f64 eps))))) 2)) (pow.f64 x 2)) (sin.f64 eps))))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (fma.f64 -1/6 (cos.f64 eps) 1/6) (pow.f64 x 3) (fma.f64 (-.f64 (fma.f64 1/4 (/.f64 (pow.f64 (cos.f64 eps) 2) (sin.f64 eps)) (*.f64 (sin.f64 eps) -1/2)) (pow.f64 (*.f64 (*.f64 1/2 (cos.f64 eps)) (sqrt.f64 (/.f64 1 (sin.f64 eps)))) 2)) (*.f64 x x) (sin.f64 eps))))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3) (fma.f64 (-.f64 (fma.f64 1/4 (/.f64 (pow.f64 (cos.f64 eps) 2) (sin.f64 eps)) (*.f64 (sin.f64 eps) -1/2)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 eps))) (*.f64 (cos.f64 eps) 1/2)) 2)) (*.f64 x x) (sin.f64 eps))))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 x (*.f64 x (fma.f64 (sin.f64 eps) -1/2 (*.f64 1/4 (-.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (sin.f64 eps)) (*.f64 (pow.f64 (cos.f64 eps) 2) (/.f64 1 (sin.f64 eps))))))) (fma.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3) (sin.f64 eps))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 (-.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 x))) (*.f64 -1/2 (sin.f64 x))) (pow.f64 (*.f64 1/2 (*.f64 (cos.f64 x) (sqrt.f64 (/.f64 1 (sin.f64 x))))) 2)) (pow.f64 eps 2)))
(fma.f64 (cos.f64 x) eps (*.f64 (-.f64 (fma.f64 1/4 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 x)) (*.f64 -1/2 (sin.f64 x))) (pow.f64 (*.f64 (*.f64 1/2 (cos.f64 x)) (sqrt.f64 (/.f64 1 (sin.f64 x)))) 2)) (*.f64 eps eps)))
(fma.f64 eps (cos.f64 x) (*.f64 (fma.f64 1/4 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 x)) (-.f64 (*.f64 -1/2 (sin.f64 x)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (*.f64 1/2 (cos.f64 x))) 2))) (*.f64 eps eps)))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (fma.f64 -1/2 (sin.f64 x) (*.f64 1/4 (-.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 x)) (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 1 (sin.f64 x)))))))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 (-.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 x))) (*.f64 -1/2 (sin.f64 x))) (pow.f64 (*.f64 1/2 (*.f64 (cos.f64 x) (sqrt.f64 (/.f64 1 (sin.f64 x))))) 2)) (pow.f64 eps 2))))
(fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 (-.f64 (fma.f64 1/4 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 x)) (*.f64 -1/2 (sin.f64 x))) (pow.f64 (*.f64 (*.f64 1/2 (cos.f64 x)) (sqrt.f64 (/.f64 1 (sin.f64 x)))) 2)) (*.f64 eps eps))))
(+.f64 (*.f64 (fma.f64 1/4 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 x)) (-.f64 (*.f64 -1/2 (sin.f64 x)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (*.f64 1/2 (cos.f64 x))) 2))) (*.f64 eps eps)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(fma.f64 (fma.f64 -1/2 (sin.f64 x) (*.f64 1/4 (-.f64 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 x)) (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 1 (sin.f64 x)))))) (*.f64 eps eps) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 (pow.f64 eps 4) (-.f64 (+.f64 (*.f64 1/24 (sin.f64 x)) (*.f64 1/4 (/.f64 (pow.f64 (-.f64 (*.f64 -1/2 (sin.f64 x)) (pow.f64 (*.f64 1/2 (*.f64 (cos.f64 x) (sqrt.f64 (/.f64 1 (sin.f64 x))))) 2)) 2) (sin.f64 x)))) (pow.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (-.f64 (*.f64 -1/2 (sin.f64 x)) (pow.f64 (*.f64 1/2 (*.f64 (cos.f64 x) (sqrt.f64 (/.f64 1 (sin.f64 x))))) 2)))) 2))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 (-.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 x))) (*.f64 -1/2 (sin.f64 x))) (pow.f64 (*.f64 1/2 (*.f64 (cos.f64 x) (sqrt.f64 (/.f64 1 (sin.f64 x))))) 2)) (pow.f64 eps 2)))))
(fma.f64 (cos.f64 x) eps (fma.f64 (pow.f64 eps 4) (-.f64 (fma.f64 1/24 (sin.f64 x) (*.f64 1/4 (/.f64 (pow.f64 (-.f64 (*.f64 -1/2 (sin.f64 x)) (pow.f64 (*.f64 (*.f64 1/2 (cos.f64 x)) (sqrt.f64 (/.f64 1 (sin.f64 x)))) 2)) 2) (sin.f64 x)))) (pow.f64 (*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (sin.f64 x)))) (-.f64 (*.f64 -1/2 (sin.f64 x)) (pow.f64 (*.f64 (*.f64 1/2 (cos.f64 x)) (sqrt.f64 (/.f64 1 (sin.f64 x)))) 2))) 2)) (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 (-.f64 (fma.f64 1/4 (/.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 x)) (*.f64 -1/2 (sin.f64 x))) (pow.f64 (*.f64 (*.f64 1/2 (cos.f64 x)) (sqrt.f64 (/.f64 1 (sin.f64 x)))) 2)) (*.f64 eps eps)))))
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(-.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))
(sin.f64 eps)
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(fma.f64 (cos.f64 eps) x (sin.f64 eps))
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(fma.f64 x (*.f64 x (fma.f64 (sin.f64 eps) -1/2 (*.f64 1/4 (-.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (sin.f64 eps)) (*.f64 (pow.f64 (cos.f64 eps) 2) (/.f64 1 (sin.f64 eps))))))) (fma.f64 (cos.f64 eps) x (sin.f64 eps)))
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(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)
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(fma.f64 (cos.f64 x) eps (sin.f64 x))
(fma.f64 eps (cos.f64 x) (sin.f64 x))
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(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))
(sqrt.f64 (sin.f64 eps))
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(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 eps))) (*.f64 (cos.f64 eps) x)) (sqrt.f64 (sin.f64 eps)))
(fma.f64 1/2 (*.f64 (cos.f64 eps) (*.f64 x (sqrt.f64 (/.f64 1 (sin.f64 eps))))) (sqrt.f64 (sin.f64 eps)))
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(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 eps))) (+.f64 (*.f64 x (*.f64 x (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) (/.f64 1 (sin.f64 eps))) -1/4)))) (*.f64 (cos.f64 eps) x))) (sqrt.f64 (sin.f64 eps)))
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(fma.f64 1/2 (*.f64 (fma.f64 (cos.f64 eps) -1/6 (*.f64 -1/2 (*.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) (-.f64 (*.f64 (sin.f64 eps) -1/2) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 eps))) (*.f64 (cos.f64 eps) 1/2)) 2))))) (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 eps))) (pow.f64 x 3))) (+.f64 (sqrt.f64 (sin.f64 eps)) (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 eps))) (+.f64 (*.f64 (*.f64 1/2 (*.f64 x x)) (-.f64 (*.f64 (sin.f64 eps) -1/2) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 eps))) (*.f64 (cos.f64 eps) 1/2)) 2))) (*.f64 1/2 (*.f64 (cos.f64 eps) x))))))
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(sqrt.f64 (sin.f64 (+.f64 eps x)))
(sqrt.f64 (sin.f64 (+.f64 eps x)))
(sqrt.f64 (sin.f64 (+.f64 eps x)))
(sqrt.f64 (sin.f64 (+.f64 eps x)))
(sqrt.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))))
(sqrt.f64 (sin.f64 (+.f64 eps x)))
(sqrt.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))))
(sqrt.f64 (sin.f64 (+.f64 eps x)))
(sqrt.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))))
(sqrt.f64 (sin.f64 (+.f64 eps x)))
(sqrt.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))))
(sqrt.f64 (sin.f64 (+.f64 eps x)))
(sqrt.f64 (sin.f64 x))
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(fma.f64 1/2 (*.f64 (cos.f64 x) (*.f64 eps (sqrt.f64 (/.f64 1 (sin.f64 x))))) (sqrt.f64 (sin.f64 x)))
(fma.f64 1/2 (*.f64 eps (*.f64 (cos.f64 x) (sqrt.f64 (/.f64 1 (sin.f64 x))))) (sqrt.f64 (sin.f64 x)))
(fma.f64 (cos.f64 x) (*.f64 eps (*.f64 1/2 (sqrt.f64 (/.f64 1 (sin.f64 x))))) (sqrt.f64 (sin.f64 x)))
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(fma.f64 1/2 (*.f64 (cos.f64 x) (*.f64 eps (sqrt.f64 (/.f64 1 (sin.f64 x))))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (*.f64 (*.f64 eps eps) (-.f64 (*.f64 -1/2 (sin.f64 x)) (pow.f64 (*.f64 (*.f64 1/2 (cos.f64 x)) (sqrt.f64 (/.f64 1 (sin.f64 x)))) 2)))) (sqrt.f64 (sin.f64 x))))
(+.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (+.f64 (*.f64 (*.f64 1/2 (cos.f64 x)) eps) (*.f64 (*.f64 1/2 (-.f64 (*.f64 -1/2 (sin.f64 x)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (*.f64 1/2 (cos.f64 x))) 2))) (*.f64 eps eps)))))
(fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (+.f64 (*.f64 eps (cos.f64 x)) (*.f64 eps (*.f64 eps (fma.f64 -1/2 (sin.f64 x) (*.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 1 (sin.f64 x))) -1/4)))))) (sqrt.f64 (sin.f64 x)))
(+.f64 (*.f64 1/2 (*.f64 (*.f64 (cos.f64 x) eps) (sqrt.f64 (/.f64 1 (sin.f64 x))))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 -1/6 (cos.f64 x)) (*.f64 1/2 (/.f64 (*.f64 (cos.f64 x) (-.f64 (*.f64 -1/2 (sin.f64 x)) (pow.f64 (*.f64 1/2 (*.f64 (cos.f64 x) (sqrt.f64 (/.f64 1 (sin.f64 x))))) 2))) (sin.f64 x))))) (sqrt.f64 (/.f64 1 (sin.f64 x))))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 -1/2 (sin.f64 x)) (pow.f64 (*.f64 1/2 (*.f64 (cos.f64 x) (sqrt.f64 (/.f64 1 (sin.f64 x))))) 2))) (sqrt.f64 (/.f64 1 (sin.f64 x))))) (sqrt.f64 (sin.f64 x)))))
(fma.f64 1/2 (*.f64 (cos.f64 x) (*.f64 eps (sqrt.f64 (/.f64 1 (sin.f64 x))))) (fma.f64 1/2 (*.f64 (pow.f64 eps 3) (*.f64 (-.f64 (*.f64 -1/6 (cos.f64 x)) (/.f64 (*.f64 1/2 (*.f64 (cos.f64 x) (-.f64 (*.f64 -1/2 (sin.f64 x)) (pow.f64 (*.f64 (*.f64 1/2 (cos.f64 x)) (sqrt.f64 (/.f64 1 (sin.f64 x)))) 2)))) (sin.f64 x))) (sqrt.f64 (/.f64 1 (sin.f64 x))))) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (*.f64 (*.f64 eps eps) (-.f64 (*.f64 -1/2 (sin.f64 x)) (pow.f64 (*.f64 (*.f64 1/2 (cos.f64 x)) (sqrt.f64 (/.f64 1 (sin.f64 x)))) 2)))) (sqrt.f64 (sin.f64 x)))))
(+.f64 (fma.f64 1/2 (*.f64 (*.f64 eps eps) (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (-.f64 (*.f64 -1/2 (sin.f64 x)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (*.f64 1/2 (cos.f64 x))) 2)))) (sqrt.f64 (sin.f64 x))) (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (+.f64 (*.f64 (*.f64 1/2 (cos.f64 x)) eps) (*.f64 (*.f64 1/2 (pow.f64 eps 3)) (fma.f64 -1/6 (cos.f64 x) (*.f64 -1/2 (*.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (-.f64 (*.f64 -1/2 (sin.f64 x)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (*.f64 1/2 (cos.f64 x))) 2)))))))))
(+.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) (+.f64 (*.f64 1/2 (+.f64 (*.f64 eps (cos.f64 x)) (*.f64 (pow.f64 eps 3) (fma.f64 -1/2 (*.f64 (fma.f64 -1/2 (sin.f64 x) (*.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 1 (sin.f64 x))) -1/4)) (/.f64 (cos.f64 x) (sin.f64 x))) (*.f64 -1/6 (cos.f64 x)))))) (*.f64 (fma.f64 -1/2 (sin.f64 x) (*.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (/.f64 1 (sin.f64 x))) -1/4)) (*.f64 1/2 (*.f64 eps eps))))))
(sqrt.f64 (sin.f64 (+.f64 eps x)))
(sqrt.f64 (sin.f64 (+.f64 eps x)))
(sqrt.f64 (sin.f64 (+.f64 eps x)))
(sqrt.f64 (sin.f64 (+.f64 eps x)))
(sqrt.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))))
(sqrt.f64 (sin.f64 (+.f64 eps x)))
(sqrt.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))))
(sqrt.f64 (sin.f64 (+.f64 eps x)))
(sqrt.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))))
(sqrt.f64 (sin.f64 (+.f64 eps x)))
(sqrt.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))))
(sqrt.f64 (sin.f64 (+.f64 eps x)))

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
0.2b
(*.f64 (sin.f64 x) (cos.f64 eps))
0.2b
(*.f64 (cos.f64 x) (sin.f64 eps))
3.6b
(-.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)

series7.0ms (0%)

Counts
3 → 56
Calls

18 calls:

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

rewrite104.0ms (0.7%)

Algorithm
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
node limit
Counts
3 → 246
Calls
Call 1
Inputs
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(*.f64 (cos.f64 x) (sin.f64 eps))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
Outputs
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/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (+.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3))) (neg.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))) (pow.f64 (sin.f64 (+.f64 x eps)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2))) (neg.f64 (+.f64 (sin.f64 x) (sin.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) 3)) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (-.f64 (*.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))) (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))))))))) (#(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 (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))) (*.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (*.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x)))) (-.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)) 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(sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1 (*.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (*.f64 (cbrt.f64 (sin.f64 eps)) (cos.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (*.f64 (cbrt.f64 (cos.f64 eps)) (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2)) (*.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2)) (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2)) (*.f64 (cos.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sin.f64 eps)) (*.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 eps)) (*.f64 (sqrt.f64 (cos.f64 eps)) (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 x eps))) 1/2 (*.f64 (cos.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (cbrt.f64 (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 x) (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sin.f64 eps) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (cbrt.f64 (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sin.f64 x) (sqrt.f64 (cos.f64 eps))) (sqrt.f64 (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 eps) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 eps) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 eps)))))))

simplify109.0ms (0.7%)

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

Useful iterations: 5 (0.0ms)

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

eval426.0ms (2.9%)

Compiler

Compiled 24703 to 7930 computations (67.9% saved)

prune452.0ms (3.1%)

Pruning

57 alts after pruning (53 fresh and 4 done)

PrunedKeptTotal
New1257471304
Fresh22628
Picked011
Done235
Total1281571338
Error
0.1b
Counts
1338 → 57
Alt Table
Click to see full alt table
StatusErrorProgram
40.8b
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
61.3b
(log.f64 1)
40.4b
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
22.4b
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
48.8b
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
54.1b
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2))
31.1b
(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)))
23.0b
(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)))
61.3b
(log.f64 (exp.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x)))))))
40.4b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
48.8b
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
0.9b
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 eps)) (fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x))))
22.6b
(-.f64 (fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
0.4b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
40.3b
(-.f64 (sin.f64 eps) (sin.f64 x))
23.0b
(fma.f64 (*.f64 (cos.f64 eps) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
23.0b
(-.f64 (+.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 3) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
62.5b
(-.f64 (pow.f64 (sqrt.f64 (sin.f64 x)) 2) (sin.f64 x))
41.6b
(fma.f64 x (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (*.f64 x -1/2))) (-.f64 (sin.f64 eps) x))
22.4b
(+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))
44.9b
(log.f64 (exp.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
45.6b
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
60.4b
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
45.6b
(neg.f64 (log.f64 (/.f64 (exp.f64 (sin.f64 x)) (exp.f64 (sin.f64 (+.f64 x eps))))))
49.8b
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
38.6b
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x)) (sin.f64 x))
32.0b
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
45.0b
(log.f64 (exp.f64 (sin.f64 eps)))
41.1b
(fma.f64 (cos.f64 eps) x (-.f64 (sin.f64 eps) x))
41.5b
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
41.4b
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
31.0b
(sin.f64 eps)
40.8b
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
33.5b
(*.f64 (cos.f64 x) eps)
40.5b
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
45.5b
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
0.4b
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
33.8b
(fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (sin.f64 x) (*.f64 (*.f64 eps eps) (+.f64 -1/2 (*.f64 (*.f64 eps eps) 1/24)))))
1.4b
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (*.f64 (cbrt.f64 (sin.f64 eps)) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
50.5b
(-.f64 (pow.f64 (sqrt.f64 (sin.f64 eps)) 2) (sin.f64 x))
18.2b
(fma.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
43.1b
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3)) (sin.f64 x))
40.9b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
0.5b
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x))))
33.8b
(fma.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))))
0.6b
(fma.f64 (*.f64 (sin.f64 eps) (cbrt.f64 (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (cos.f64 x)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
0.4b
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
14.1b
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2)) (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x))))
46.9b
eps
0.4b
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
41.6b
(*.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))))
60.1b
(log.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)))
33.6b
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
52.3b
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
31.0b
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
38.6b
(-.f64 (+.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
27.6b
(log.f64 (exp.f64 (-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))))
Compiler

Compiled 1567 to 1038 computations (33.8% saved)

localize59.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
0.2b
(*.f64 (sin.f64 x) (cos.f64 eps))
2.1b
(-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))
Compiler

Compiled 38 to 9 computations (76.3% saved)

series8.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite142.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
539×log-prod_binary64
397×fma-def_binary64
340×pow-prod-down_binary64
305×pow2_binary64
232×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01034
121530
2296422
Stop Event
node limit
Counts
2 → 154
Calls
Call 1
Inputs
(-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (-.f64 (cos.f64 eps) 1))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (-.f64 (cos.f64 eps) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (-.f64 (cos.f64 eps) 1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (-.f64 (cos.f64 eps) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 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(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))) (*.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (sin.f64 x))) (sqrt.f64 (neg.f64 (sin.f64 x))) (*.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (sin.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 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 (fma.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 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 (fma.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 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)) (*.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (cos.f64 eps) 2))) (cbrt.f64 (cos.f64 eps)) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (cos.f64 eps) 2))) (cbrt.f64 (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sin.f64 x) (sqrt.f64 (cos.f64 eps))) (sqrt.f64 (cos.f64 eps)) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sin.f64 x) (sqrt.f64 (cos.f64 eps))) (sqrt.f64 (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) 1))))) (#(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)) (neg.f64 (sin.f64 x)))))) (#(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 (neg.f64 (sin.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 eps) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 eps) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (*.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) (-.f64 (cos.f64 eps) 1)))))) (#(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 0 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (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 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 3)) (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (-.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 2) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))))))) (#(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) (-.f64 (cos.f64 eps) 1)) 2)) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))))) (#(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 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 log.f64 (*.f64 (pow.f64 (exp.f64 (sin.f64 x)) (-.f64 (cos.f64 eps) 1)) (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) (-.f64 (cos.f64 eps) 1)))) (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) (-.f64 (cos.f64 eps) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))))

simplify131.0ms (0.9%)

Algorithm
egg-herbie
Rules
705×associate-+l+_binary64
452×fma-neg_binary64
440×associate-+r+_binary64
413×*-commutative_binary64
413×fma-def_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
080950
1225935
2608849
32346848
45022848
56604846
Stop Event
node limit
Counts
202 → 189
Calls
Call 1
Inputs
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (cos.f64 eps)) 1/120) (pow.f64 x 5)) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3))))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (cos.f64 eps)) 1/120) (pow.f64 x 5)) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (*.f64 (pow.f64 x 7) (+.f64 (*.f64 -1/5040 (cos.f64 eps)) 1/5040)))))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 eps 6) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (*.f64 1/40320 (*.f64 (pow.f64 eps 8) (sin.f64 x))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 eps 6) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
Outputs
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 (+.f64 (cos.f64 eps) -1) x)
(-.f64 (*.f64 (cos.f64 eps) x) x)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (*.f64 (fma.f64 -1/6 (cos.f64 eps) 1/6) (pow.f64 x 3)))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (*.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3)))
(fma.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3) (*.f64 (+.f64 (cos.f64 eps) -1) x))
(fma.f64 (cos.f64 eps) x (fma.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3) (neg.f64 x)))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (cos.f64 eps)) 1/120) (pow.f64 x 5)) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3))))
(fma.f64 (fma.f64 1/120 (cos.f64 eps) -1/120) (pow.f64 x 5) (fma.f64 (+.f64 (cos.f64 eps) -1) x (*.f64 (fma.f64 -1/6 (cos.f64 eps) 1/6) (pow.f64 x 3))))
(fma.f64 (fma.f64 (cos.f64 eps) 1/120 -1/120) (pow.f64 x 5) (fma.f64 (+.f64 (cos.f64 eps) -1) x (*.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3))))
(fma.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3) (fma.f64 (fma.f64 (cos.f64 eps) 1/120 -1/120) (pow.f64 x 5) (*.f64 (+.f64 (cos.f64 eps) -1) x)))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3) (*.f64 (fma.f64 (cos.f64 eps) 1/120 -1/120) (pow.f64 x 5))))
(fma.f64 (fma.f64 (cos.f64 eps) 1/120 -1/120) (pow.f64 x 5) (fma.f64 (cos.f64 eps) x (fma.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3) (neg.f64 x))))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (cos.f64 eps)) 1/120) (pow.f64 x 5)) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (*.f64 (pow.f64 x 7) (+.f64 (*.f64 -1/5040 (cos.f64 eps)) 1/5040)))))
(fma.f64 (fma.f64 1/120 (cos.f64 eps) -1/120) (pow.f64 x 5) (fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (fma.f64 -1/6 (cos.f64 eps) 1/6) (pow.f64 x 3) (*.f64 (pow.f64 x 7) (fma.f64 -1/5040 (cos.f64 eps) 1/5040)))))
(fma.f64 (fma.f64 (cos.f64 eps) 1/120 -1/120) (pow.f64 x 5) (fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3) (*.f64 (pow.f64 x 7) (fma.f64 (cos.f64 eps) -1/5040 1/5040)))))
(fma.f64 (fma.f64 (cos.f64 eps) 1/120 -1/120) (pow.f64 x 5) (fma.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3) (fma.f64 (+.f64 (cos.f64 eps) -1) x (*.f64 (pow.f64 x 7) (fma.f64 (cos.f64 eps) -1/5040 1/5040)))))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (fma.f64 (cos.f64 eps) 1/120 -1/120) (pow.f64 x 5) (fma.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3) (*.f64 (pow.f64 x 7) (fma.f64 (cos.f64 eps) -1/5040 1/5040)))))
(fma.f64 (fma.f64 (cos.f64 eps) 1/120 -1/120) (pow.f64 x 5) (fma.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3) (fma.f64 (pow.f64 x 7) (fma.f64 (cos.f64 eps) -1/5040 1/5040) (-.f64 (*.f64 (cos.f64 eps) x) x))))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)))
(*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps)))
(*.f64 eps (*.f64 (*.f64 eps (sin.f64 x)) -1/2))
(*.f64 eps (*.f64 (sin.f64 x) (*.f64 eps -1/2)))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(*.f64 (sin.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 1/24 (pow.f64 eps 4))))
(*.f64 (sin.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/2 (*.f64 eps eps))))
(*.f64 (sin.f64 x) (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 eps 6) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 -1/720 (*.f64 (sin.f64 x) (pow.f64 eps 6)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (*.f64 (sin.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 -1/720 (pow.f64 eps 6)))))
(*.f64 (sin.f64 x) (+.f64 (*.f64 -1/720 (pow.f64 eps 6)) (fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/2 (*.f64 eps eps)))))
(*.f64 (sin.f64 x) (+.f64 (*.f64 eps (*.f64 eps -1/2)) (fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/720 (pow.f64 eps 6)))))
(+.f64 (*.f64 1/40320 (*.f64 (pow.f64 eps 8) (sin.f64 x))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 eps 6) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(fma.f64 1/40320 (*.f64 (sin.f64 x) (pow.f64 eps 8)) (fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 -1/720 (*.f64 (sin.f64 x) (pow.f64 eps 6)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))))
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(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(fma.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x) (*.f64 eps (cos.f64 x)))
(fma.f64 eps (cos.f64 x) (*.f64 eps (*.f64 (*.f64 eps (sin.f64 x)) -1/2)))
(*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x)))
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(fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)))))
(+.f64 (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(fma.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(fma.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)) (*.f64 (cos.f64 x) (+.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 (sin.f64 x) (*.f64 eps -1/2))))
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(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 (sin.f64 x) (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4)))))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(fma.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)))
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(fma.f64 -1/2 (*.f64 x (*.f64 x (sin.f64 eps))) (fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps)))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (*.f64 x x) (*.f64 -1/2 (sin.f64 eps)) (sin.f64 eps)))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (*.f64 (sin.f64 eps) (+.f64 1 (*.f64 x (*.f64 x -1/2)))))
(fma.f64 x (+.f64 (*.f64 (sin.f64 eps) (*.f64 x -1/2)) (cos.f64 eps)) (-.f64 (sin.f64 eps) x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (fma.f64 -1/6 (cos.f64 eps) 1/6) (pow.f64 x 3) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 x (*.f64 x (sin.f64 eps))) (fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3) (sin.f64 eps))))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 -1/2 (*.f64 x (*.f64 x (sin.f64 eps))) (fma.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3) (sin.f64 eps))))
(fma.f64 x (+.f64 (*.f64 (sin.f64 eps) (*.f64 x -1/2)) (cos.f64 eps)) (-.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 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(fma.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 (*.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 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(fma.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 (*.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 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(fma.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 (*.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 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(fma.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 (*.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 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(fma.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 (*.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 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(fma.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 (*.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 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(fma.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 (*.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 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(fma.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)))

localize6.0ms (0%)

Compiler

Compiled 5 to 5 computations (0% saved)

localize23.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (sin.f64 eps) x)
2.6b
(fma.f64 (cos.f64 eps) x (-.f64 (sin.f64 eps) x))
Compiler

Compiled 20 to 6 computations (70% saved)

series16.0ms (0.1%)

Counts
2 → 40
Calls

12 calls:

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

rewrite90.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
831×pow1_binary64
768×add-log-exp_binary64
768×log1p-expm1-u_binary64
768×expm1-log1p-u_binary64
750×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0718
114918
2201818
Stop Event
node limit
Counts
2 → 58
Calls
Call 1
Inputs
(fma.f64 (cos.f64 eps) x (-.f64 (sin.f64 eps) x))
(-.f64 (sin.f64 eps) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 eps) x) (*.f64 (cos.f64 eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 eps) x) (-.f64 (sin.f64 eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (cos.f64 eps) x) 1) (-.f64 (sin.f64 eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (cos.f64 eps) x (-.f64 (sin.f64 eps) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (cos.f64 eps) x (-.f64 (sin.f64 eps) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (cos.f64 eps) x (-.f64 (sin.f64 eps) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (cos.f64 eps) x (-.f64 (sin.f64 eps) x))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 eps) x (-.f64 (sin.f64 eps) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 eps) x (-.f64 (sin.f64 eps) x))) 2) (cbrt.f64 (fma.f64 (cos.f64 eps) x (-.f64 (sin.f64 eps) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (cos.f64 eps) x (-.f64 (sin.f64 eps) x))) (sqrt.f64 (fma.f64 (cos.f64 eps) x (-.f64 (sin.f64 eps) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) x) 3) (pow.f64 (-.f64 (sin.f64 eps) x) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 eps) x) (*.f64 (cos.f64 eps) x)) (-.f64 (pow.f64 (-.f64 (sin.f64 eps) x) 2) (*.f64 (*.f64 (cos.f64 eps) x) (-.f64 (sin.f64 eps) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (cos.f64 eps) x) (*.f64 (cos.f64 eps) x)) (pow.f64 (-.f64 (sin.f64 eps) x) 2)) (-.f64 (*.f64 (cos.f64 eps) x) (-.f64 (sin.f64 eps) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (cos.f64 eps) x (-.f64 (sin.f64 eps) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (cos.f64 eps) x (-.f64 (sin.f64 eps) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (cos.f64 eps) x (-.f64 (sin.f64 eps) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (cos.f64 eps) x (-.f64 (sin.f64 eps) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (cos.f64 eps) x (-.f64 (sin.f64 eps) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (cos.f64 eps) x (-.f64 (sin.f64 eps) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (cos.f64 eps) x (-.f64 (sin.f64 eps) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (cos.f64 eps) x (-.f64 (sin.f64 eps) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (cos.f64 eps) x (-.f64 (sin.f64 eps) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (cos.f64 eps) x (-.f64 (sin.f64 eps) x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 eps) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 eps) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 eps) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 eps) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 eps) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (sin.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sin.f64 eps) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (sin.f64 eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (sin.f64 eps) x)) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 eps) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 eps) x)) 2) (cbrt.f64 (-.f64 (sin.f64 eps) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (sin.f64 eps) x)) (sqrt.f64 (-.f64 (sin.f64 eps) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 x (+.f64 x (sin.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 x (+.f64 x (sin.f64 eps)))) (-.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (sin.f64 eps)) (-.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 x (+.f64 x (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 x x)) (+.f64 x (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 x (+.f64 x (sin.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 x x))) (neg.f64 (+.f64 x (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (sin.f64 eps) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (sin.f64 eps) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (sin.f64 eps) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (sin.f64 eps) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (sin.f64 eps) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (sin.f64 eps) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (sin.f64 eps) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (sin.f64 eps) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (sin.f64 eps) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (sin.f64 eps) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (sin.f64 eps) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (sin.f64 eps) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sin.f64 eps) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (cbrt.f64 (sin.f64 eps)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (sin.f64 eps)) (neg.f64 x))))))

simplify135.0ms (0.9%)

Algorithm
egg-herbie
Rules
623×fma-neg_binary64
523×fma-def_binary64
423×distribute-rgt-out_binary64
386×distribute-rgt-neg-in_binary64
369×*-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
050401
1132386
2304384
3861376
42723376
55704376
67432376
Stop Event
node limit
Counts
98 → 82
Calls
Call 1
Inputs
eps
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) eps)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (+.f64 eps (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) x)) (*.f64 -1/6 (pow.f64 eps 3)))))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) x)
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) x)
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) x)
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) x)
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) x)
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) x)
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) x)
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) 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 (-.f64 (cos.f64 eps) 1) 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 -1 (*.f64 (+.f64 1 (*.f64 -1 (cos.f64 eps))) x))
(+.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 (cos.f64 eps))) x)) (sin.f64 eps))
(+.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 (cos.f64 eps))) x)) (sin.f64 eps))
(+.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 (cos.f64 eps))) x)) (sin.f64 eps))
(*.f64 -1 x)
(+.f64 eps (*.f64 -1 x))
(+.f64 eps (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 -1 x)))
(+.f64 eps (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (+.f64 (*.f64 1/120 (pow.f64 eps 5)) (*.f64 -1 x))))
(sin.f64 eps)
(+.f64 (*.f64 -1 x) (sin.f64 eps))
(+.f64 (*.f64 -1 x) (sin.f64 eps))
(+.f64 (*.f64 -1 x) (sin.f64 eps))
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (sin.f64 eps))
(+.f64 (*.f64 -1 x) (sin.f64 eps))
(+.f64 (*.f64 -1 x) (sin.f64 eps))
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (sin.f64 eps))
(+.f64 (*.f64 -1 x) (sin.f64 eps))
(+.f64 (*.f64 -1 x) (sin.f64 eps))
Outputs
eps
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) eps)
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) x) eps)
(fma.f64 -1/2 (*.f64 eps (*.f64 eps x)) eps)
(fma.f64 (*.f64 eps eps) (*.f64 -1/2 x) eps)
(fma.f64 eps (*.f64 -1/2 (*.f64 eps x)) eps)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))
(fma.f64 -1/2 (*.f64 eps (*.f64 eps x)) (fma.f64 -1/6 (pow.f64 eps 3) eps))
(fma.f64 (*.f64 eps eps) (fma.f64 eps -1/6 (*.f64 -1/2 x)) eps)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (+.f64 eps (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) x)) (*.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 (fma.f64 -1/2 (*.f64 (*.f64 eps eps) x) eps) (fma.f64 1/24 (*.f64 x (pow.f64 eps 4)) (*.f64 -1/6 (pow.f64 eps 3))))
(+.f64 (fma.f64 -1/2 (*.f64 eps (*.f64 eps x)) eps) (fma.f64 -1/6 (pow.f64 eps 3) (*.f64 x (*.f64 1/24 (pow.f64 eps 4)))))
(fma.f64 -1/2 (*.f64 eps (*.f64 eps x)) (fma.f64 x (*.f64 1/24 (pow.f64 eps 4)) (fma.f64 -1/6 (pow.f64 eps 3) eps)))
(fma.f64 (*.f64 eps eps) (fma.f64 eps -1/6 (*.f64 -1/2 x)) (fma.f64 x (*.f64 1/24 (pow.f64 eps 4)) eps))
(fma.f64 (*.f64 eps eps) (fma.f64 eps -1/6 (*.f64 -1/2 x)) (fma.f64 1/24 (*.f64 x (pow.f64 eps 4)) eps))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) x)
(-.f64 (fma.f64 (cos.f64 eps) x (sin.f64 eps)) x)
(-.f64 (fma.f64 x (cos.f64 eps) (sin.f64 eps)) x)
(fma.f64 x (cos.f64 eps) (-.f64 (sin.f64 eps) x))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) x)
(-.f64 (fma.f64 (cos.f64 eps) x (sin.f64 eps)) x)
(-.f64 (fma.f64 x (cos.f64 eps) (sin.f64 eps)) x)
(fma.f64 x (cos.f64 eps) (-.f64 (sin.f64 eps) x))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) x)
(-.f64 (fma.f64 (cos.f64 eps) x (sin.f64 eps)) x)
(-.f64 (fma.f64 x (cos.f64 eps) (sin.f64 eps)) x)
(fma.f64 x (cos.f64 eps) (-.f64 (sin.f64 eps) x))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) x)
(-.f64 (fma.f64 (cos.f64 eps) x (sin.f64 eps)) x)
(-.f64 (fma.f64 x (cos.f64 eps) (sin.f64 eps)) x)
(fma.f64 x (cos.f64 eps) (-.f64 (sin.f64 eps) x))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) x)
(-.f64 (fma.f64 (cos.f64 eps) x (sin.f64 eps)) x)
(-.f64 (fma.f64 x (cos.f64 eps) (sin.f64 eps)) x)
(fma.f64 x (cos.f64 eps) (-.f64 (sin.f64 eps) x))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) x)
(-.f64 (fma.f64 (cos.f64 eps) x (sin.f64 eps)) x)
(-.f64 (fma.f64 x (cos.f64 eps) (sin.f64 eps)) x)
(fma.f64 x (cos.f64 eps) (-.f64 (sin.f64 eps) x))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) x)
(-.f64 (fma.f64 (cos.f64 eps) x (sin.f64 eps)) x)
(-.f64 (fma.f64 x (cos.f64 eps) (sin.f64 eps)) x)
(fma.f64 x (cos.f64 eps) (-.f64 (sin.f64 eps) x))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) x)
(-.f64 (fma.f64 (cos.f64 eps) x (sin.f64 eps)) x)
(-.f64 (fma.f64 x (cos.f64 eps) (sin.f64 eps)) x)
(fma.f64 x (cos.f64 eps) (-.f64 (sin.f64 eps) x))
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(-.f64 (fma.f64 (cos.f64 eps) x (sin.f64 eps)) x)
(-.f64 (fma.f64 x (cos.f64 eps) (sin.f64 eps)) x)
(fma.f64 x (cos.f64 eps) (-.f64 (sin.f64 eps) x))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(-.f64 (fma.f64 (cos.f64 eps) x (sin.f64 eps)) x)
(-.f64 (fma.f64 x (cos.f64 eps) (sin.f64 eps)) x)
(fma.f64 x (cos.f64 eps) (-.f64 (sin.f64 eps) x))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(-.f64 (fma.f64 (cos.f64 eps) x (sin.f64 eps)) x)
(-.f64 (fma.f64 x (cos.f64 eps) (sin.f64 eps)) x)
(fma.f64 x (cos.f64 eps) (-.f64 (sin.f64 eps) x))
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 x (cos.f64 eps)) x)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(-.f64 (fma.f64 (cos.f64 eps) x (sin.f64 eps)) x)
(-.f64 (fma.f64 x (cos.f64 eps) (sin.f64 eps)) x)
(fma.f64 x (cos.f64 eps) (-.f64 (sin.f64 eps) x))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(-.f64 (fma.f64 (cos.f64 eps) x (sin.f64 eps)) x)
(-.f64 (fma.f64 x (cos.f64 eps) (sin.f64 eps)) x)
(fma.f64 x (cos.f64 eps) (-.f64 (sin.f64 eps) x))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(-.f64 (fma.f64 (cos.f64 eps) x (sin.f64 eps)) x)
(-.f64 (fma.f64 x (cos.f64 eps) (sin.f64 eps)) x)
(fma.f64 x (cos.f64 eps) (-.f64 (sin.f64 eps) x))
(*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 (cos.f64 eps))) x))
(*.f64 x (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 x (cos.f64 eps)) x)
(+.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 (cos.f64 eps))) x)) (sin.f64 eps))
(-.f64 (fma.f64 (cos.f64 eps) x (sin.f64 eps)) x)
(-.f64 (fma.f64 x (cos.f64 eps) (sin.f64 eps)) x)
(fma.f64 x (cos.f64 eps) (-.f64 (sin.f64 eps) x))
(+.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 (cos.f64 eps))) x)) (sin.f64 eps))
(-.f64 (fma.f64 (cos.f64 eps) x (sin.f64 eps)) x)
(-.f64 (fma.f64 x (cos.f64 eps) (sin.f64 eps)) x)
(fma.f64 x (cos.f64 eps) (-.f64 (sin.f64 eps) x))
(+.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 -1 (cos.f64 eps))) x)) (sin.f64 eps))
(-.f64 (fma.f64 (cos.f64 eps) x (sin.f64 eps)) x)
(-.f64 (fma.f64 x (cos.f64 eps) (sin.f64 eps)) x)
(fma.f64 x (cos.f64 eps) (-.f64 (sin.f64 eps) x))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 eps (*.f64 -1 x))
(+.f64 eps (neg.f64 x))
(-.f64 eps x)
(+.f64 eps (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 -1 x)))
(+.f64 eps (fma.f64 -1/6 (pow.f64 eps 3) (neg.f64 x)))
(-.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) x)
(+.f64 eps (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (+.f64 (*.f64 1/120 (pow.f64 eps 5)) (*.f64 -1 x))))
(+.f64 eps (fma.f64 -1/6 (pow.f64 eps 3) (fma.f64 1/120 (pow.f64 eps 5) (neg.f64 x))))
(+.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (-.f64 (*.f64 1/120 (pow.f64 eps 5)) x))
(+.f64 eps (fma.f64 -1/6 (pow.f64 eps 3) (-.f64 (*.f64 1/120 (pow.f64 eps 5)) x)))
(fma.f64 -1/6 (pow.f64 eps 3) (-.f64 (fma.f64 1/120 (pow.f64 eps 5) eps) x))
(sin.f64 eps)
(+.f64 (*.f64 -1 x) (sin.f64 eps))
(fma.f64 -1 x (sin.f64 eps))
(-.f64 (sin.f64 eps) x)
(+.f64 (*.f64 -1 x) (sin.f64 eps))
(fma.f64 -1 x (sin.f64 eps))
(-.f64 (sin.f64 eps) x)
(+.f64 (*.f64 -1 x) (sin.f64 eps))
(fma.f64 -1 x (sin.f64 eps))
(-.f64 (sin.f64 eps) x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (sin.f64 eps))
(fma.f64 -1 x (sin.f64 eps))
(-.f64 (sin.f64 eps) x)
(+.f64 (*.f64 -1 x) (sin.f64 eps))
(fma.f64 -1 x (sin.f64 eps))
(-.f64 (sin.f64 eps) x)
(+.f64 (*.f64 -1 x) (sin.f64 eps))
(fma.f64 -1 x (sin.f64 eps))
(-.f64 (sin.f64 eps) x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (sin.f64 eps))
(fma.f64 -1 x (sin.f64 eps))
(-.f64 (sin.f64 eps) x)
(+.f64 (*.f64 -1 x) (sin.f64 eps))
(fma.f64 -1 x (sin.f64 eps))
(-.f64 (sin.f64 eps) x)
(+.f64 (*.f64 -1 x) (sin.f64 eps))
(fma.f64 -1 x (sin.f64 eps))
(-.f64 (sin.f64 eps) x)

localize69.0ms (0.5%)

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)
1.4b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
4.6b
(sin.f64 (+.f64 x eps))
Compiler

Compiled 39 to 10 computations (74.4% saved)

series43.0ms (0.3%)

Counts
2 → 40
Calls

12 calls:

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

rewrite128.0ms (0.9%)

Algorithm
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
node limit
Counts
2 → 157
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (+.f64 x eps)) (*.f64 (neg.f64 (sin.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))) (/.f64 (pow.f64 (sin.f64 x) 3) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) (#(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 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)) (*.f64 (cbrt.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> 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simplify83.0ms (0.6%)

Algorithm
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
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 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))
0.2b
(*.f64 (sin.f64 x) (cos.f64 eps))
0.2b
(*.f64 (cos.f64 x) (sin.f64 eps))
3.6b
(+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))
Compiler

Compiled 44 to 10 computations (77.3% saved)

series7.0ms (0%)

Counts
2 → 32
Calls

12 calls:

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

rewrite146.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
720×fma-def_binary64
639×log-prod_binary64
401×fma-neg_binary64
240×pow1/3_binary64
239×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01136
124624
2369024
Stop Event
node limit
Counts
2 → 221
Calls
Call 1
Inputs
(+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) 2) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))))) (/.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.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))) 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simplify89.0ms (0.6%)

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

Useful iterations: 4 (0.0ms)

IterNodesCost
065639
1189630
2498584
31595583
44918581
Stop Event
node limit
Counts
253 → 252
Calls
Call 1
Inputs
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(sin.f64 eps)
(+.f64 (*.f64 -1 x) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 -1 x) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (sin.f64 eps))))
(*.f64 -1 (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1 (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x)))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 5) (cos.f64 x))) (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))))
Outputs
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps))
(fma.f64 (cos.f64 eps) x (-.f64 (sin.f64 eps) x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps)))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (sin.f64 eps) (*.f64 x (*.f64 x -1/2)) (sin.f64 eps)))
(fma.f64 x (+.f64 (*.f64 x (*.f64 (sin.f64 eps) -1/2)) (cos.f64 eps)) (-.f64 (sin.f64 eps) x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (fma.f64 -1/6 (cos.f64 eps) 1/6) (pow.f64 x 3) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3) (sin.f64 eps))))
(fma.f64 (sin.f64 eps) (*.f64 x (*.f64 x -1/2)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3) (sin.f64 eps))))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (cos.f64 x) eps (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
(fma.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)) (*.f64 eps (cos.f64 x)))
(fma.f64 eps (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (*.f64 -1/2 (sin.f64 x)))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x))))
(+.f64 (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(fma.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(fma.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))))
(fma.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 (sin.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 1/24 (pow.f64 eps 4)))))
(fma.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 (sin.f64 x) (+.f64 (*.f64 eps (*.f64 eps -1/2)) (*.f64 1/24 (pow.f64 eps 4)))))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(sin.f64 eps)
(+.f64 (*.f64 -1 x) (sin.f64 eps))
(fma.f64 -1 x (sin.f64 eps))
(-.f64 (sin.f64 eps) x)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 -1 x) (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 -1 x (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (-.f64 (sin.f64 eps) x))
(fma.f64 (sin.f64 eps) (*.f64 x (*.f64 x -1/2)) (-.f64 (sin.f64 eps) x))
(-.f64 (fma.f64 (sin.f64 eps) (*.f64 x (*.f64 x -1/2)) (sin.f64 eps)) x)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1 x (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 1/6 (pow.f64 x 3) (-.f64 (sin.f64 eps) x)))
(fma.f64 (sin.f64 eps) (*.f64 x (*.f64 x -1/2)) (-.f64 (fma.f64 1/6 (pow.f64 x 3) (sin.f64 eps)) x))
(fma.f64 (sin.f64 eps) (*.f64 x (*.f64 x -1/2)) (fma.f64 1/6 (pow.f64 x 3) (-.f64 (sin.f64 eps) x)))
(fma.f64 (*.f64 x x) (+.f64 (*.f64 x 1/6) (*.f64 (sin.f64 eps) -1/2)) (-.f64 (sin.f64 eps) x))
(*.f64 -1 (sin.f64 x))
(neg.f64 (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1 (sin.f64 x)))
(fma.f64 (cos.f64 x) eps (neg.f64 (sin.f64 x)))
(-.f64 (*.f64 eps (cos.f64 x)) (sin.f64 x))
(fma.f64 eps (cos.f64 x) (neg.f64 (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x)))))
(fma.f64 (cos.f64 x) eps (fma.f64 -1 (sin.f64 x) (*.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)))))
(+.f64 (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(-.f64 (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 5) (cos.f64 x))) (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))))
(fma.f64 (cos.f64 x) eps (fma.f64 1/120 (*.f64 (cos.f64 x) (pow.f64 eps 5)) (fma.f64 -1 (sin.f64 x) (*.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3))))))
(+.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 1/120 (pow.f64 eps 5))) (sin.f64 x)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (+.f64 eps (*.f64 1/120 (pow.f64 eps 5))) (*.f64 -1/6 (pow.f64 eps 3)))) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 1/120 (pow.f64 eps 5)) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))) (sin.f64 x))

eval593.0ms (4%)

Compiler

Compiled 22178 to 7594 computations (65.8% saved)

prune483.0ms (3.3%)

Pruning

62 alts after pruning (55 fresh and 7 done)

PrunedKeptTotal
New989331022
Fresh262248
Picked011
Done268
Total1017621079
Error
0.0b
Counts
1079 → 62
Alt Table
Click to see full alt table
StatusErrorProgram
61.3b
(log.f64 1)
12.4b
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (neg.f64 (sin.f64 x)) 3)) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (-.f64 (pow.f64 (neg.f64 (sin.f64 x)) 2) (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (neg.f64 (sin.f64 x)))))))
32.0b
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
40.4b
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
40.9b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
22.4b
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
48.8b
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
54.1b
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2))
31.2b
(fma.f64 (*.f64 (cos.f64 x) (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sin.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
23.0b
(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)))
61.1b
(fma.f64 (cos.f64 eps) x (neg.f64 x))
48.8b
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
31.5b
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
40.4b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
18.9b
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) x) x))
58.9b
(+.f64 (neg.f64 (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))
28.0b
(+.f64 (log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))) (+.f64 1 (expm1.f64 (sin.f64 x))))) (*.f64 (sin.f64 x) (cos.f64 eps)))
40.3b
(-.f64 (sin.f64 eps) (sin.f64 x))
0.4b
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
46.2b
(-.f64 (+.f64 1 (fma.f64 (cos.f64 eps) x (-.f64 (sin.f64 eps) x))) 1)
32.8b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4)))))
38.6b
(-.f64 (+.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
16.4b
(fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (*.f64 (sin.f64 x) (sqrt.f64 (cos.f64 eps))) (sqrt.f64 (cos.f64 eps)) (neg.f64 (sin.f64 x))))
38.6b
(+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (sin.f64 x))
0.5b
(fma.f64 (sin.f64 eps) (cos.f64 x) (log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))))
61.1b
(-.f64 (*.f64 x (cos.f64 eps)) x)
22.4b
(+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))
44.9b
(log.f64 (exp.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
0.6b
(fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (*.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (cos.f64 eps) 2))) (cbrt.f64 (cos.f64 eps)) (neg.f64 (sin.f64 x))))
45.6b
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
60.4b
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
31.1b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
61.1b
(*.f64 (-.f64 (cos.f64 eps) 1) x)
27.6b
(log.f64 (exp.f64 (-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))))
40.7b
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))) 3)
0.9b
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
49.8b
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
0.4b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
45.0b
(log.f64 (exp.f64 (sin.f64 eps)))
0.5b
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
41.1b
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) x)
40.5b
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
41.5b
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
50.2b
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)
31.0b
(sin.f64 eps)
40.8b
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
33.5b
(*.f64 (cos.f64 x) eps)
14.1b
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2)) (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (neg.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
33.6b
(*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x)))
45.5b
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
33.8b
(fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (sin.f64 x) (*.f64 (*.f64 eps eps) (+.f64 -1/2 (*.f64 (*.f64 eps eps) 1/24)))))
1.4b
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (*.f64 (cbrt.f64 (sin.f64 eps)) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
46.9b
eps
0.9b
(fma.f64 (*.f64 (sin.f64 eps) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)) (fma.f64 -1 (sin.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))))
0.4b
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
0.4b
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
60.1b
(log.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)))
52.3b
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
1.4b
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (*.f64 (cbrt.f64 (sin.f64 eps)) (cos.f64 x)) (neg.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
43.1b
(+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (exp.f64 (log.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))))
0.5b
(fma.f64 (sin.f64 eps) (cos.f64 x) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 3)))
18.2b
(fma.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (neg.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
Compiler

Compiled 1688 to 1137 computations (32.6% saved)

localize49.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
0.2b
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
2.0b
(+.f64 (cos.f64 eps) -1)
Compiler

Compiled 36 to 16 computations (55.6% saved)

series6.0ms (0%)

Counts
3 → 60
Calls

15 calls:

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

rewrite71.0ms (0.5%)

Algorithm
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
node limit
Counts
3 → 118
Calls
Call 1
Inputs
(+.f64 (cos.f64 eps) -1)
(*.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)))
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 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 log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 eps) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cos.f64 eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (cos.f64 eps)) (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)))))
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))) (log.f64 (sqrt.f64 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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 log1p.f64 (expm1.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))))))

simplify146.0ms (1%)

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

Useful iterations: 3 (0.0ms)

IterNodesCost
0821018
1227995
2649949
32341936
45438936
57500936
Stop Event
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 -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))
(*.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)))
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 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x))
(*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))))
(*.f64 (*.f64 eps eps) (*.f64 -1/2 (sin.f64 x)))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)))
(*.f64 eps (*.f64 (sin.f64 x) (*.f64 -1/2 eps)))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 1/24 (*.f64 (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 (*.f64 1/24 (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 1/24 (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 (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))))) (sin.f64 x))
(*.f64 (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))))) (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 (+.f64 (cos.f64 eps) -1) (*.f64 (pow.f64 x 3) -1/6)))
(*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(*.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 (*.f64 1/120 (+.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 (pow.f64 x 3) (fma.f64 (cos.f64 eps) -1/6 1/6) (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (*.f64 1/120 (pow.f64 x 5)))))
(*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (*.f64 1/120 (pow.f64 x 5))))
(*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 -1/6 (pow.f64 x 3)))))
(+.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 (*.f64 1/120 (+.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))))))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) (*.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 1/120 (pow.f64 x 5)) (*.f64 -1/5040 (pow.f64 x 7)))))
(*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (+.f64 x (*.f64 1/120 (pow.f64 x 5))) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -1/5040 (pow.f64 x 7)))))
(*.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 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (cos.f64 x) eps (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
(fma.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))) (*.f64 eps (cos.f64 x)))
(*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 -1/2 eps)) (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x))))
(+.f64 (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(fma.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 (*.f64 eps eps) (*.f64 -1/2 (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 -1/2 (*.f64 eps eps)) (sin.f64 x) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(fma.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x)) (fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 (*.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 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3) (sin.f64 eps))))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) (fma.f64 (sin.f64 eps) (*.f64 -1/2 (*.f64 x x)) (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 x (*.f64 x (sin.f64 eps))) (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 (*.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)))

localize4.0ms (0%)

Compiler

Compiled 5 to 3 computations (40% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(pow.f64 (*.f64 (cos.f64 x) eps) 3)
0.1b
(*.f64 (cos.f64 x) eps)
40.2b
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
Compiler

Compiled 24 to 10 computations (58.3% saved)

series8.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite55.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
645×pow1_binary64
603×add-log-exp_binary64
603×log1p-expm1-u_binary64
603×expm1-log1p-u_binary64
586×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0815
116815
2172815
Stop Event
node limit
Counts
2 → 54
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
(pow.f64 (*.f64 (cos.f64 x) eps) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 x) eps)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 x) eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (cos.f64 x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) (pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2) (cbrt.f64 (*.f64 (cos.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) (sqrt.f64 (*.f64 (cos.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2) 1/3) (cbrt.f64 (*.f64 (cos.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3/2) 1/3))))) (#(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 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 expm1.f64 (log1p.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 log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) eps)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (*.f64 (cos.f64 x) eps) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 x) (*.f64 eps (pow.f64 (*.f64 (cos.f64 x) eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (*.f64 (cos.f64 x) (pow.f64 (*.f64 (cos.f64 x) eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 x) eps) (pow.f64 (*.f64 (cos.f64 x) eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 (cos.f64 x) eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2) (*.f64 (cos.f64 x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2) (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) (pow.f64 (*.f64 (cos.f64 x) eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) (*.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) (pow.f64 (*.f64 (cos.f64 x) eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3/2) (pow.f64 (*.f64 (cos.f64 x) eps) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2) 3) (*.f64 (cos.f64 x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 3) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2) (cos.f64 x)) eps)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2) eps) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2) 1) (*.f64 (cos.f64 x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2) (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 (*.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2) (sqrt.f64 (*.f64 (cos.f64 x) eps))) (sqrt.f64 (*.f64 (cos.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (*.f64 (cos.f64 x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3)))))))

simplify133.0ms (0.9%)

Algorithm
egg-herbie
Rules
528×distribute-rgt-out_binary64
500×distribute-rgt-in_binary64
496×distribute-lft-in_binary64
468×fma-def_binary64
370×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
069616
1196599
2686569
33396566
46481566
57903566
Stop Event
node limit
Counts
102 → 70
Calls
Call 1
Inputs
eps
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(+.f64 eps (+.f64 (*.f64 1/24 (*.f64 eps (pow.f64 x 4))) (*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))))
(+.f64 (*.f64 -1/720 (*.f64 eps (pow.f64 x 6))) (+.f64 eps (+.f64 (*.f64 1/24 (*.f64 eps (pow.f64 x 4))) (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))))
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 -1 (*.f64 eps (*.f64 (cos.f64 x) (cbrt.f64 -1))))
(*.f64 -1 (*.f64 eps (*.f64 (cos.f64 x) (cbrt.f64 -1))))
(*.f64 -1 (*.f64 eps (*.f64 (cos.f64 x) (cbrt.f64 -1))))
(*.f64 -1 (*.f64 eps (*.f64 (cos.f64 x) (cbrt.f64 -1))))
(pow.f64 eps 3)
(+.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 3)) (*.f64 -1 (pow.f64 eps 3))) (pow.f64 x 2)) (pow.f64 eps 3))
(+.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 3)) (*.f64 -1 (pow.f64 eps 3))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 3)) (+.f64 (*.f64 eps (+.f64 (*.f64 1/4 (pow.f64 eps 2)) (*.f64 1/12 (pow.f64 eps 2)))) (*.f64 1/2 (pow.f64 eps 3)))) (pow.f64 x 4)) (pow.f64 eps 3)))
(+.f64 (*.f64 (+.f64 (*.f64 eps (+.f64 (*.f64 -1/24 (pow.f64 eps 2)) (*.f64 -1/360 (pow.f64 eps 2)))) (+.f64 (*.f64 -1/720 (pow.f64 eps 3)) (+.f64 (*.f64 -1/24 (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 eps (+.f64 (*.f64 1/4 (pow.f64 eps 2)) (*.f64 1/12 (pow.f64 eps 2)))))))) (pow.f64 x 6)) (+.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 3)) (*.f64 -1 (pow.f64 eps 3))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 3)) (+.f64 (*.f64 eps (+.f64 (*.f64 1/4 (pow.f64 eps 2)) (*.f64 1/12 (pow.f64 eps 2)))) (*.f64 1/2 (pow.f64 eps 3)))) (pow.f64 x 4)) (pow.f64 eps 3))))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 3))
(*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 3))
(*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 3))
(*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
Outputs
eps
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(fma.f64 -1/2 (*.f64 eps (*.f64 x x)) eps)
(fma.f64 eps (*.f64 x (*.f64 x -1/2)) eps)
(fma.f64 eps (*.f64 -1/2 (*.f64 x x)) eps)
(+.f64 eps (+.f64 (*.f64 1/24 (*.f64 eps (pow.f64 x 4))) (*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))))
(+.f64 eps (fma.f64 1/24 (*.f64 eps (pow.f64 x 4)) (*.f64 -1/2 (*.f64 eps (*.f64 x x)))))
(+.f64 eps (fma.f64 -1/2 (*.f64 eps (*.f64 x x)) (*.f64 eps (*.f64 (pow.f64 x 4) 1/24))))
(fma.f64 eps (*.f64 1/24 (pow.f64 x 4)) (fma.f64 eps (*.f64 x (*.f64 x -1/2)) eps))
(fma.f64 eps (*.f64 1/24 (pow.f64 x 4)) (fma.f64 eps (*.f64 -1/2 (*.f64 x x)) eps))
(+.f64 (*.f64 -1/720 (*.f64 eps (pow.f64 x 6))) (+.f64 eps (+.f64 (*.f64 1/24 (*.f64 eps (pow.f64 x 4))) (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))))
(fma.f64 -1/720 (*.f64 eps (pow.f64 x 6)) (+.f64 eps (fma.f64 1/24 (*.f64 eps (pow.f64 x 4)) (*.f64 -1/2 (*.f64 eps (*.f64 x x))))))
(+.f64 (fma.f64 -1/2 (*.f64 eps (*.f64 x x)) (*.f64 eps (*.f64 (pow.f64 x 4) 1/24))) (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 1/24 (pow.f64 x 4)) (fma.f64 eps (*.f64 x (*.f64 x -1/2)) eps)))
(fma.f64 eps (*.f64 -1/720 (pow.f64 x 6)) (fma.f64 eps (*.f64 1/24 (pow.f64 x 4)) (fma.f64 eps (*.f64 -1/2 (*.f64 x x)) eps)))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 -1 (*.f64 eps (*.f64 (cos.f64 x) (cbrt.f64 -1))))
(neg.f64 (*.f64 eps (*.f64 (cos.f64 x) (cbrt.f64 -1))))
(*.f64 (*.f64 (neg.f64 eps) (cbrt.f64 -1)) (cos.f64 x))
(*.f64 eps (*.f64 (cos.f64 x) (neg.f64 (cbrt.f64 -1))))
(*.f64 -1 (*.f64 eps (*.f64 (cos.f64 x) (cbrt.f64 -1))))
(neg.f64 (*.f64 eps (*.f64 (cos.f64 x) (cbrt.f64 -1))))
(*.f64 (*.f64 (neg.f64 eps) (cbrt.f64 -1)) (cos.f64 x))
(*.f64 eps (*.f64 (cos.f64 x) (neg.f64 (cbrt.f64 -1))))
(*.f64 -1 (*.f64 eps (*.f64 (cos.f64 x) (cbrt.f64 -1))))
(neg.f64 (*.f64 eps (*.f64 (cos.f64 x) (cbrt.f64 -1))))
(*.f64 (*.f64 (neg.f64 eps) (cbrt.f64 -1)) (cos.f64 x))
(*.f64 eps (*.f64 (cos.f64 x) (neg.f64 (cbrt.f64 -1))))
(*.f64 -1 (*.f64 eps (*.f64 (cos.f64 x) (cbrt.f64 -1))))
(neg.f64 (*.f64 eps (*.f64 (cos.f64 x) (cbrt.f64 -1))))
(*.f64 (*.f64 (neg.f64 eps) (cbrt.f64 -1)) (cos.f64 x))
(*.f64 eps (*.f64 (cos.f64 x) (neg.f64 (cbrt.f64 -1))))
(pow.f64 eps 3)
(+.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 3)) (*.f64 -1 (pow.f64 eps 3))) (pow.f64 x 2)) (pow.f64 eps 3))
(fma.f64 (*.f64 (pow.f64 eps 3) -3/2) (*.f64 x x) (pow.f64 eps 3))
(fma.f64 (*.f64 x x) (*.f64 (pow.f64 eps 3) -3/2) (pow.f64 eps 3))
(fma.f64 x (*.f64 (pow.f64 eps 3) (*.f64 -3/2 x)) (pow.f64 eps 3))
(*.f64 (+.f64 (*.f64 (*.f64 -3/2 x) x) 1) (pow.f64 eps 3))
(+.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 3)) (*.f64 -1 (pow.f64 eps 3))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 3)) (+.f64 (*.f64 eps (+.f64 (*.f64 1/4 (pow.f64 eps 2)) (*.f64 1/12 (pow.f64 eps 2)))) (*.f64 1/2 (pow.f64 eps 3)))) (pow.f64 x 4)) (pow.f64 eps 3)))
(fma.f64 (*.f64 (pow.f64 eps 3) -3/2) (*.f64 x x) (fma.f64 (fma.f64 1/24 (pow.f64 eps 3) (fma.f64 eps (*.f64 (*.f64 eps eps) 1/3) (*.f64 (pow.f64 eps 3) 1/2))) (pow.f64 x 4) (pow.f64 eps 3)))
(fma.f64 (*.f64 x x) (*.f64 (pow.f64 eps 3) -3/2) (fma.f64 (pow.f64 x 4) (fma.f64 1/24 (pow.f64 eps 3) (fma.f64 (pow.f64 eps 3) 1/2 (*.f64 (pow.f64 eps 3) 1/3))) (pow.f64 eps 3)))
(fma.f64 x (*.f64 (pow.f64 eps 3) (*.f64 -3/2 x)) (fma.f64 (pow.f64 x 4) (fma.f64 1/24 (pow.f64 eps 3) (*.f64 (pow.f64 eps 3) 5/6)) (pow.f64 eps 3)))
(fma.f64 (pow.f64 x 4) (fma.f64 1/24 (pow.f64 eps 3) (*.f64 (pow.f64 eps 3) 5/6)) (*.f64 (+.f64 (*.f64 (*.f64 -3/2 x) x) 1) (pow.f64 eps 3)))
(+.f64 (*.f64 (+.f64 (*.f64 eps (+.f64 (*.f64 -1/24 (pow.f64 eps 2)) (*.f64 -1/360 (pow.f64 eps 2)))) (+.f64 (*.f64 -1/720 (pow.f64 eps 3)) (+.f64 (*.f64 -1/24 (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 eps (+.f64 (*.f64 1/4 (pow.f64 eps 2)) (*.f64 1/12 (pow.f64 eps 2)))))))) (pow.f64 x 6)) (+.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 3)) (*.f64 -1 (pow.f64 eps 3))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 3)) (+.f64 (*.f64 eps (+.f64 (*.f64 1/4 (pow.f64 eps 2)) (*.f64 1/12 (pow.f64 eps 2)))) (*.f64 1/2 (pow.f64 eps 3)))) (pow.f64 x 4)) (pow.f64 eps 3))))
(fma.f64 (fma.f64 eps (*.f64 (*.f64 eps eps) -2/45) (fma.f64 -1/720 (pow.f64 eps 3) (fma.f64 -1/24 (pow.f64 eps 3) (*.f64 -1/2 (*.f64 eps (*.f64 (*.f64 eps eps) 1/3)))))) (pow.f64 x 6) (fma.f64 (*.f64 (pow.f64 eps 3) -3/2) (*.f64 x x) (fma.f64 (fma.f64 1/24 (pow.f64 eps 3) (fma.f64 eps (*.f64 (*.f64 eps eps) 1/3) (*.f64 (pow.f64 eps 3) 1/2))) (pow.f64 x 4) (pow.f64 eps 3))))
(fma.f64 (pow.f64 x 6) (+.f64 (*.f64 (pow.f64 eps 3) -2/45) (+.f64 (*.f64 (*.f64 -1/2 (pow.f64 eps 3)) 1/3) (*.f64 (pow.f64 eps 3) -31/720))) (fma.f64 (*.f64 x x) (*.f64 (pow.f64 eps 3) -3/2) (fma.f64 (pow.f64 x 4) (fma.f64 1/24 (pow.f64 eps 3) (fma.f64 (pow.f64 eps 3) 1/2 (*.f64 (pow.f64 eps 3) 1/3))) (pow.f64 eps 3))))
(fma.f64 x (*.f64 (pow.f64 eps 3) (*.f64 -3/2 x)) (fma.f64 (pow.f64 x 6) (+.f64 (*.f64 (pow.f64 eps 3) -1/6) (*.f64 (pow.f64 eps 3) -7/80)) (fma.f64 (pow.f64 x 4) (fma.f64 1/24 (pow.f64 eps 3) (*.f64 (pow.f64 eps 3) 5/6)) (pow.f64 eps 3))))
(fma.f64 (pow.f64 x 6) (+.f64 (*.f64 (pow.f64 eps 3) -1/6) (*.f64 (pow.f64 eps 3) -7/80)) (fma.f64 (pow.f64 x 4) (fma.f64 1/24 (pow.f64 eps 3) (*.f64 (pow.f64 eps 3) 5/6)) (*.f64 (+.f64 (*.f64 (*.f64 -3/2 x) x) 1) (pow.f64 eps 3))))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 3))
(*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 3))
(*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 3))
(*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 3))
(*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 3))

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.6b
(cbrt.f64 (sin.f64 (+.f64 x eps)))
0.7b
(pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3)
4.6b
(sin.f64 (+.f64 x eps))
19.7b
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
Compiler

Compiled 36 to 12 computations (66.7% saved)

series75.0ms (0.5%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
44.0ms
x
@inf
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
12.0ms
x
@0
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
5.0ms
eps
@0
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
3.0ms
eps
@inf
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
3.0ms
x
@-inf
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))

rewrite110.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01025
123225
2300425
Stop Event
node limit
Counts
3 → 200
Calls
Call 1
Inputs
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
(pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3)
(cbrt.f64 (sin.f64 (+.f64 x eps)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (+.f64 x eps)) (*.f64 (neg.f64 (sin.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sin.f64 (/.f64 (-.f64 (+.f64 x eps) x) 2)) (cos.f64 (/.f64 (+.f64 (+.f64 x eps) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 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simplify255.0ms (1.7%)

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

Useful iterations: 3 (0.0ms)

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

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (cos.f64 x) (sin.f64 eps))
0.2b
(log.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))
1.5b
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (cos.f64 eps))))
6.9b
(+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (exp.f64 (log.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))))
Compiler

Compiled 59 to 12 computations (79.7% saved)

series151.0ms (1%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
49.0ms
eps
@inf
(log.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))
40.0ms
x
@inf
(log.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))
32.0ms
x
@-inf
(log.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))
22.0ms
eps
@-inf
(log.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))
2.0ms
eps
@0
(+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (exp.f64 (log.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))))

rewrite193.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
731×fma-def_binary64
677×log-prod_binary64
422×fma-neg_binary64
253×expm1-udef_binary64
253×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01341
127129
2389829
Stop Event
node limit
Counts
3 → 196
Calls
Call 1
Inputs
(+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (exp.f64 (log.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (cos.f64 eps))))
(log.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) 2) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))))) (/.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.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))) 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) 2) (cbrt.f64 (log.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) (sqrt.f64 (log.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (log.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (log.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (*.f64 3 (log.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 (sin.f64 x)) 3) (pow.f64 (log.f64 (cos.f64 eps)) 3)) (fma.f64 (log.f64 (sin.f64 x)) (log.f64 (sin.f64 x)) (-.f64 (*.f64 (log.f64 (cos.f64 eps)) (log.f64 (cos.f64 eps))) (*.f64 (log.f64 (sin.f64 x)) (log.f64 (cos.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log.f64 (sin.f64 x)) (log.f64 (sin.f64 x))) (*.f64 (log.f64 (cos.f64 eps)) (log.f64 (cos.f64 eps)))) (log.f64 (/.f64 (sin.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 2 (+.f64 (sin.f64 (-.f64 x eps)) (sin.f64 (+.f64 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 (cos.f64 eps)) (log.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 (sin.f64 x)) (log.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 (sin.f64 x)) 1 (*.f64 (log.f64 (cos.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (log.f64 (sin.f64 x))) (cbrt.f64 (log.f64 (sin.f64 x)))) (cbrt.f64 (log.f64 (sin.f64 x))) (log.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (log.f64 (cos.f64 eps))) (cbrt.f64 (log.f64 (cos.f64 eps)))) (cbrt.f64 (log.f64 (cos.f64 eps))) (log.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 (sin.f64 x))) (sqrt.f64 (log.f64 (sin.f64 x))) (log.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 (cos.f64 eps))) (sqrt.f64 (log.f64 (cos.f64 eps))) (log.f64 (sin.f64 x)))))))

simplify93.0ms (0.6%)

Algorithm
egg-herbie
Rules
551×fma-def_binary64
506×*-commutative_binary64
492×unswap-sqr_binary64
434×associate-+l+_binary64
352×distribute-rgt-out_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01051126
12871117
27821055
326211043
447621043
561971041
Stop Event
node limit
Counts
268 → 242
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))
(+.f64 (log.f64 (cos.f64 eps)) (log.f64 x))
(+.f64 (log.f64 (cos.f64 eps)) (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (log.f64 x)))
(+.f64 (log.f64 (cos.f64 eps)) (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (+.f64 (*.f64 -1/180 (pow.f64 x 4)) (log.f64 x))))
(+.f64 (log.f64 (cos.f64 eps)) (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (+.f64 (*.f64 -1/180 (pow.f64 x 4)) (+.f64 (*.f64 -1/2835 (pow.f64 x 6)) (log.f64 x)))))
(log.f64 (*.f64 (cos.f64 eps) (sin.f64 x)))
(log.f64 (*.f64 (cos.f64 eps) (sin.f64 x)))
(log.f64 (*.f64 (cos.f64 eps) (sin.f64 x)))
(log.f64 (*.f64 (cos.f64 eps) (sin.f64 x)))
(log.f64 (*.f64 (cos.f64 eps) (sin.f64 x)))
(log.f64 (*.f64 (cos.f64 eps) (sin.f64 x)))
(log.f64 (*.f64 (cos.f64 eps) (sin.f64 x)))
(log.f64 (*.f64 (cos.f64 eps) (sin.f64 x)))
(log.f64 (sin.f64 x))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (log.f64 (sin.f64 x)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 -1/12 (pow.f64 eps 4)) (log.f64 (sin.f64 x))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 -1/45 (pow.f64 eps 6)) (+.f64 (*.f64 -1/12 (pow.f64 eps 4)) (log.f64 (sin.f64 x)))))
(log.f64 (*.f64 (cos.f64 eps) (sin.f64 x)))
(log.f64 (*.f64 (cos.f64 eps) (sin.f64 x)))
(log.f64 (*.f64 (cos.f64 eps) (sin.f64 x)))
(log.f64 (*.f64 (cos.f64 eps) (sin.f64 x)))
(log.f64 (*.f64 (cos.f64 eps) (sin.f64 x)))
(log.f64 (*.f64 (cos.f64 eps) (sin.f64 x)))
(log.f64 (*.f64 (cos.f64 eps) (sin.f64 x)))
(log.f64 (*.f64 (cos.f64 eps) (sin.f64 x)))
Outputs
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps))
(fma.f64 (cos.f64 eps) x (-.f64 (sin.f64 eps) x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (*.f64 x (*.f64 x -1/2)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps)))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (*.f64 (sin.f64 eps) (+.f64 1 (*.f64 x (*.f64 x -1/2)))))
(fma.f64 x (+.f64 (*.f64 -1/2 (*.f64 (sin.f64 eps) x)) (cos.f64 eps)) (-.f64 (sin.f64 eps) x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (fma.f64 -1/6 (cos.f64 eps) 1/6) (pow.f64 x 3) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3) (sin.f64 eps))))
(fma.f64 (sin.f64 eps) (*.f64 x (*.f64 x -1/2)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3) (sin.f64 eps))))
(fma.f64 x (+.f64 (*.f64 (sin.f64 eps) (*.f64 x -1/2)) (cos.f64 eps)) (-.f64 (fma.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3) (sin.f64 eps)) x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
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(log.f64 (*.f64 (cos.f64 eps) (sin.f64 x)))
(log.f64 (*.f64 (cos.f64 eps) (sin.f64 x)))
(log.f64 (*.f64 (cos.f64 eps) (sin.f64 x)))
(log.f64 (*.f64 (cos.f64 eps) (sin.f64 x)))
(log.f64 (*.f64 (cos.f64 eps) (sin.f64 x)))

eval642.0ms (4.4%)

Compiler

Compiled 20219 to 8909 computations (55.9% saved)

prune324.0ms (2.2%)

Pruning

60 alts after pruning (50 fresh and 10 done)

PrunedKeptTotal
New82322845
Fresh222850
Picked101
Done11011
Total84760907
Error
0.0b
Counts
907 → 60
Alt Table
Click to see full alt table
StatusErrorProgram
40.9b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
22.4b
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
48.8b
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
54.1b
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2))
61.1b
(fma.f64 (cos.f64 eps) x (neg.f64 x))
34.0b
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (cos.f64 x)))
58.9b
(+.f64 (neg.f64 (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))
33.8b
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) eps))
49.8b
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
31.5b
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
40.4b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
32.8b
(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)))
18.9b
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) x) x))
40.3b
(-.f64 (sin.f64 eps) (sin.f64 x))
0.4b
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
48.8b
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
31.3b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
46.2b
(-.f64 (+.f64 1 (fma.f64 (cos.f64 eps) x (-.f64 (sin.f64 eps) x))) 1)
38.6b
(-.f64 (+.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
27.6b
(log.f64 (exp.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.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)
50.2b
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)
61.1b
(-.f64 (*.f64 x (cos.f64 eps)) x)
22.4b
(+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))
44.9b
(log.f64 (exp.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
45.6b
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
60.4b
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
61.1b
(*.f64 (-.f64 (cos.f64 eps) 1) x)
40.7b
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))) 3)
61.3b
0
40.7b
(*.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
40.7b
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 3) (sin.f64 x))
0.4b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
0.5b
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
49.5b
(*.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))
45.0b
(log.f64 (exp.f64 (sin.f64 eps)))
41.5b
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
31.0b
(sin.f64 eps)
40.8b
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
33.5b
(*.f64 (cos.f64 x) eps)
0.4b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) (sin.f64 x)))
14.1b
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2)) (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (neg.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
33.6b
(*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x)))
41.1b
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) x)
45.5b
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
33.8b
(fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (sin.f64 x) (*.f64 (*.f64 eps eps) (+.f64 -1/2 (*.f64 (*.f64 eps eps) 1/24)))))
50.7b
(-.f64 (pow.f64 (pow.f64 (sin.f64 eps) 1/3) 3) (sin.f64 x))
0.3b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))) (sin.f64 x)))
38.6b
(+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (sin.f64 x))
46.9b
eps
0.3b
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (*.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 eps) 2))) (+.f64 (cos.f64 eps) 1)))
0.3b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (/.f64 1 (/.f64 (+.f64 (cos.f64 eps) 1) (neg.f64 (pow.f64 (sin.f64 eps) 2)))) (sin.f64 x)))
23.0b
(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)))
0.5b
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))
0.4b
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
0.4b
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
60.1b
(log.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)))
52.3b
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
0.5b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) (sin.f64 x)))
32.0b
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
Compiler

Compiled 761 to 529 computations (30.5% saved)

regimes354.0ms (2.4%)

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

4 calls:

107.0ms
x
94.0ms
eps
43.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
42.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
ErrorSegmentsBranch
0.3b1x
0.3b1eps
0.3b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
0.3b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 1773 to 574 computations (67.6% saved)

regimes293.0ms (2%)

Counts
110 → 1
Calls
Call 1
Inputs
0
eps
(log.f64 1)
(sin.f64 eps)
(*.f64 (cos.f64 x) eps)
(-.f64 (*.f64 x (cos.f64 eps)) x)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 x) (sin.f64 x))
(fma.f64 (cos.f64 eps) x (neg.f64 x))
(log.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)))
(-.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) x) (sin.f64 eps)) x)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x)))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x)))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(log.f64 (exp.f64 (sin.f64 eps)))
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
(*.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))
(fma.f64 (cos.f64 eps) x (-.f64 (sin.f64 eps) x))
(-.f64 (fma.f64 (cos.f64 eps) x (sin.f64 eps)) x)
(+.f64 (neg.f64 (sin.f64 x)) (*.f64 (sin.f64 x) (cos.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 (+.f64 1 (fma.f64 (cos.f64 eps) x (-.f64 (sin.f64 eps) x))) 1)
(log.f64 (exp.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 3) (sin.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))) 3)
(-.f64 (pow.f64 (sqrt.f64 (sin.f64 x)) 2) (sin.f64 x))
(-.f64 (pow.f64 (sqrt.f64 (sin.f64 eps)) 2) (sin.f64 x))
(*.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(-.f64 (pow.f64 (pow.f64 (sin.f64 eps) 1/3) 3) (sin.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.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 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (cos.f64 x)))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(-.f64 (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))
(-.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))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(-.f64 (pow.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) 2) (sin.f64 x))
(+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) x) x))
(+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (sin.f64 x))
(-.f64 (+.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
(log.f64 (exp.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x)))))))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(fma.f64 x (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (*.f64 x -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)
(fma.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))))
(*.f64 (pow.f64 (cbrt.f64 2) 3) (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x)) (sin.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) eps))
(neg.f64 (log.f64 (/.f64 (exp.f64 (sin.f64 x)) (exp.f64 (sin.f64 (+.f64 x eps))))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (sin.f64 x))) (exp.f64 (sin.f64 (+.f64 x eps)))))
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(log.f64 (/.f64 (exp.f64 (sin.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 (sin.f64 x)))))
(+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(-.f64 (+.f64 (*.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 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))) (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)))
(fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (sin.f64 x) (*.f64 (*.f64 eps eps) (+.f64 -1/2 (*.f64 (*.f64 eps eps) 1/24)))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 (sin.f64 x) (cos.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 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4)))))
(fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (sin.f64 x) (+.f64 (*.f64 eps (*.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 (log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) (sin.f64 x)))
(log1p.f64 (expm1.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)))
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))) 3)
(fma.f64 (sin.f64 eps) (cos.f64 x) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 3)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))))
(+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (exp.f64 (log.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))))
(log.f64 (exp.f64 (-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.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))
Outputs
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))) (sin.f64 x)))
Calls

4 calls:

93.0ms
eps
60.0ms
x
56.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
44.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
ErrorSegmentsBranch
0.3b1x
0.3b1eps
0.3b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
0.3b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 1228 to 433 computations (64.7% saved)

regimes223.0ms (1.5%)

Counts
108 → 1
Calls
Call 1
Inputs
0
eps
(log.f64 1)
(sin.f64 eps)
(*.f64 (cos.f64 x) eps)
(-.f64 (*.f64 x (cos.f64 eps)) x)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 x) (sin.f64 x))
(fma.f64 (cos.f64 eps) x (neg.f64 x))
(log.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)))
(-.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) x) (sin.f64 eps)) x)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x)))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x)))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(log.f64 (exp.f64 (sin.f64 eps)))
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
(*.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))
(fma.f64 (cos.f64 eps) x (-.f64 (sin.f64 eps) x))
(-.f64 (fma.f64 (cos.f64 eps) x (sin.f64 eps)) x)
(+.f64 (neg.f64 (sin.f64 x)) (*.f64 (sin.f64 x) (cos.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 (+.f64 1 (fma.f64 (cos.f64 eps) x (-.f64 (sin.f64 eps) x))) 1)
(log.f64 (exp.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 3) (sin.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))) 3)
(-.f64 (pow.f64 (sqrt.f64 (sin.f64 x)) 2) (sin.f64 x))
(-.f64 (pow.f64 (sqrt.f64 (sin.f64 eps)) 2) (sin.f64 x))
(*.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(-.f64 (pow.f64 (pow.f64 (sin.f64 eps) 1/3) 3) (sin.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.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 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (cos.f64 x)))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(-.f64 (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))
(-.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))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(-.f64 (pow.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) 2) (sin.f64 x))
(+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) x) x))
(+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (sin.f64 x))
(-.f64 (+.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
(log.f64 (exp.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x)))))))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(fma.f64 x (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (*.f64 x -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)
(fma.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))))
(*.f64 (pow.f64 (cbrt.f64 2) 3) (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x)) (sin.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) eps))
(neg.f64 (log.f64 (/.f64 (exp.f64 (sin.f64 x)) (exp.f64 (sin.f64 (+.f64 x eps))))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (sin.f64 x))) (exp.f64 (sin.f64 (+.f64 x eps)))))
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(log.f64 (/.f64 (exp.f64 (sin.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 (sin.f64 x)))))
(+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(-.f64 (+.f64 (*.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 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))) (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)))
(fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (sin.f64 x) (*.f64 (*.f64 eps eps) (+.f64 -1/2 (*.f64 (*.f64 eps eps) 1/24)))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 (sin.f64 x) (cos.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 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4)))))
(fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (sin.f64 x) (+.f64 (*.f64 eps (*.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 (log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) (sin.f64 x)))
(log1p.f64 (expm1.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)))
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))) 3)
(fma.f64 (sin.f64 eps) (cos.f64 x) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 3)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))))
(+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (exp.f64 (log.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))))
(log.f64 (exp.f64 (-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))))
Outputs
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
Calls

4 calls:

62.0ms
eps
54.0ms
x
44.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
31.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
ErrorSegmentsBranch
0.4b1x
0.4b1eps
0.4b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
0.4b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 1194 to 421 computations (64.7% saved)

regimes168.0ms (1.1%)

Counts
91 → 1
Calls
Call 1
Inputs
0
eps
(log.f64 1)
(sin.f64 eps)
(*.f64 (cos.f64 x) eps)
(-.f64 (*.f64 x (cos.f64 eps)) x)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 x) (sin.f64 x))
(fma.f64 (cos.f64 eps) x (neg.f64 x))
(log.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)))
(-.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) x) (sin.f64 eps)) x)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x)))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x)))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(log.f64 (exp.f64 (sin.f64 eps)))
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
(*.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))
(fma.f64 (cos.f64 eps) x (-.f64 (sin.f64 eps) x))
(-.f64 (fma.f64 (cos.f64 eps) x (sin.f64 eps)) x)
(+.f64 (neg.f64 (sin.f64 x)) (*.f64 (sin.f64 x) (cos.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 (+.f64 1 (fma.f64 (cos.f64 eps) x (-.f64 (sin.f64 eps) x))) 1)
(log.f64 (exp.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 3) (sin.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))) 3)
(-.f64 (pow.f64 (sqrt.f64 (sin.f64 x)) 2) (sin.f64 x))
(-.f64 (pow.f64 (sqrt.f64 (sin.f64 eps)) 2) (sin.f64 x))
(*.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(-.f64 (pow.f64 (pow.f64 (sin.f64 eps) 1/3) 3) (sin.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.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 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (cos.f64 x)))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(-.f64 (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))
(-.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))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(-.f64 (pow.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) 2) (sin.f64 x))
(+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) x) x))
(+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (sin.f64 x))
(-.f64 (+.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
(log.f64 (exp.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x)))))))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(fma.f64 x (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (*.f64 x -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)
(fma.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))))
(*.f64 (pow.f64 (cbrt.f64 2) 3) (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x)) (sin.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) eps))
(neg.f64 (log.f64 (/.f64 (exp.f64 (sin.f64 x)) (exp.f64 (sin.f64 (+.f64 x eps))))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (sin.f64 x))) (exp.f64 (sin.f64 (+.f64 x eps)))))
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(log.f64 (/.f64 (exp.f64 (sin.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 (sin.f64 x)))))
(+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(-.f64 (+.f64 (*.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 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))) (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)))
(fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (sin.f64 x) (*.f64 (*.f64 eps eps) (+.f64 -1/2 (*.f64 (*.f64 eps eps) 1/24)))))
Outputs
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
Calls

4 calls:

48.0ms
eps
42.0ms
x
28.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
25.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
ErrorSegmentsBranch
0.4b1x
0.4b1eps
0.4b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
0.4b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 935 to 335 computations (64.2% saved)

regimes147.0ms (1%)

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

4 calls:

40.0ms
eps
40.0ms
x
25.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
21.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
ErrorSegmentsBranch
0.4b1x
0.4b1eps
0.4b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
0.4b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 791 to 293 computations (63% saved)

regimes156.0ms (1.1%)

Counts
80 → 1
Calls
Call 1
Inputs
0
eps
(log.f64 1)
(sin.f64 eps)
(*.f64 (cos.f64 x) eps)
(-.f64 (*.f64 x (cos.f64 eps)) x)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 x) (sin.f64 x))
(fma.f64 (cos.f64 eps) x (neg.f64 x))
(log.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)))
(-.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) x) (sin.f64 eps)) x)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x)))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x)))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(log.f64 (exp.f64 (sin.f64 eps)))
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
(*.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))
(fma.f64 (cos.f64 eps) x (-.f64 (sin.f64 eps) x))
(-.f64 (fma.f64 (cos.f64 eps) x (sin.f64 eps)) x)
(+.f64 (neg.f64 (sin.f64 x)) (*.f64 (sin.f64 x) (cos.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 (+.f64 1 (fma.f64 (cos.f64 eps) x (-.f64 (sin.f64 eps) x))) 1)
(log.f64 (exp.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 3) (sin.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))) 3)
(-.f64 (pow.f64 (sqrt.f64 (sin.f64 x)) 2) (sin.f64 x))
(-.f64 (pow.f64 (sqrt.f64 (sin.f64 eps)) 2) (sin.f64 x))
(*.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(-.f64 (pow.f64 (pow.f64 (sin.f64 eps) 1/3) 3) (sin.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.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 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (cos.f64 x)))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(-.f64 (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))
(-.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))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(-.f64 (pow.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) 2) (sin.f64 x))
(+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) x) x))
(+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (sin.f64 x))
(-.f64 (+.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
(log.f64 (exp.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x)))))))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(fma.f64 x (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (*.f64 x -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)
(fma.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))))
(*.f64 (pow.f64 (cbrt.f64 2) 3) (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x)) (sin.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) eps))
(neg.f64 (log.f64 (/.f64 (exp.f64 (sin.f64 x)) (exp.f64 (sin.f64 (+.f64 x eps))))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (sin.f64 x))) (exp.f64 (sin.f64 (+.f64 x eps)))))
Outputs
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
Calls

4 calls:

45.0ms
eps
41.0ms
x
25.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
25.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
ErrorSegmentsBranch
0.5b1x
0.5b1eps
0.5b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
0.5b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 779 to 290 computations (62.8% saved)

regimes233.0ms (1.6%)

Counts
69 → 3
Calls
Call 1
Inputs
0
eps
(log.f64 1)
(sin.f64 eps)
(*.f64 (cos.f64 x) eps)
(-.f64 (*.f64 x (cos.f64 eps)) x)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 x) (sin.f64 x))
(fma.f64 (cos.f64 eps) x (neg.f64 x))
(log.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)))
(-.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) x) (sin.f64 eps)) x)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x)))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x)))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(log.f64 (exp.f64 (sin.f64 eps)))
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
(*.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))
(fma.f64 (cos.f64 eps) x (-.f64 (sin.f64 eps) x))
(-.f64 (fma.f64 (cos.f64 eps) x (sin.f64 eps)) x)
(+.f64 (neg.f64 (sin.f64 x)) (*.f64 (sin.f64 x) (cos.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 (+.f64 1 (fma.f64 (cos.f64 eps) x (-.f64 (sin.f64 eps) x))) 1)
(log.f64 (exp.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 3) (sin.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))) 3)
(-.f64 (pow.f64 (sqrt.f64 (sin.f64 x)) 2) (sin.f64 x))
(-.f64 (pow.f64 (sqrt.f64 (sin.f64 eps)) 2) (sin.f64 x))
(*.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(-.f64 (pow.f64 (pow.f64 (sin.f64 eps) 1/3) 3) (sin.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.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 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (cos.f64 x)))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(-.f64 (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))
(-.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))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(-.f64 (pow.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) 2) (sin.f64 x))
(+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) x) x))
(+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (sin.f64 x))
(-.f64 (+.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
Outputs
(+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
(+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (sin.f64 x))
Calls

4 calls:

86.0ms
eps
51.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
46.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
33.0ms
x
Results
ErrorSegmentsBranch
18.9b1x
16.2b3eps
17.2b3(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
17.2b3(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 627 to 232 computations (63% saved)

bsearch117.0ms (0.8%)

Algorithm
binary-search
Steps
TimeLeftRight
58.0ms
2260.4293333508335
1460790.728256287
59.0ms
-3091.2144165842037
-0.09173625961675194
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes251.0ms (1.7%)

Counts
67 → 3
Calls
Call 1
Inputs
0
eps
(log.f64 1)
(sin.f64 eps)
(*.f64 (cos.f64 x) eps)
(-.f64 (*.f64 x (cos.f64 eps)) x)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 x) (sin.f64 x))
(fma.f64 (cos.f64 eps) x (neg.f64 x))
(log.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)))
(-.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) x) (sin.f64 eps)) x)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x)))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x)))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(log.f64 (exp.f64 (sin.f64 eps)))
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
(*.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))
(fma.f64 (cos.f64 eps) x (-.f64 (sin.f64 eps) x))
(-.f64 (fma.f64 (cos.f64 eps) x (sin.f64 eps)) x)
(+.f64 (neg.f64 (sin.f64 x)) (*.f64 (sin.f64 x) (cos.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 (+.f64 1 (fma.f64 (cos.f64 eps) x (-.f64 (sin.f64 eps) x))) 1)
(log.f64 (exp.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 3) (sin.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))) 3)
(-.f64 (pow.f64 (sqrt.f64 (sin.f64 x)) 2) (sin.f64 x))
(-.f64 (pow.f64 (sqrt.f64 (sin.f64 eps)) 2) (sin.f64 x))
(*.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(-.f64 (pow.f64 (pow.f64 (sin.f64 eps) 1/3) 3) (sin.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.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 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (cos.f64 x)))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(-.f64 (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))
(-.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))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(-.f64 (pow.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) 2) (sin.f64 x))
(+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) x) x))
(+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (sin.f64 x))
(-.f64 (+.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1) (sin.f64 x))
Outputs
(+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (sin.f64 x))
(*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x)))
(+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (sin.f64 x))
Calls

4 calls:

99.0ms
eps
49.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
48.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
39.0ms
x
Results
ErrorSegmentsBranch
18.9b1x
16.4b3eps
17.4b3(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
17.4b3(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 601 to 222 computations (63.1% saved)

bsearch119.0ms (0.8%)

Algorithm
binary-search
Steps
TimeLeftRight
58.0ms
2260.4293333508335
1460790.728256287
61.0ms
-3091.2144165842037
-0.09173625961675194
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes305.0ms (2.1%)

Counts
62 → 3
Calls
Call 1
Inputs
0
eps
(log.f64 1)
(sin.f64 eps)
(*.f64 (cos.f64 x) eps)
(-.f64 (*.f64 x (cos.f64 eps)) x)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 x) (sin.f64 x))
(fma.f64 (cos.f64 eps) x (neg.f64 x))
(log.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)))
(-.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) x) (sin.f64 eps)) x)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x)))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x)))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(log.f64 (exp.f64 (sin.f64 eps)))
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
(*.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))
(fma.f64 (cos.f64 eps) x (-.f64 (sin.f64 eps) x))
(-.f64 (fma.f64 (cos.f64 eps) x (sin.f64 eps)) x)
(+.f64 (neg.f64 (sin.f64 x)) (*.f64 (sin.f64 x) (cos.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 (+.f64 1 (fma.f64 (cos.f64 eps) x (-.f64 (sin.f64 eps) x))) 1)
(log.f64 (exp.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 3) (sin.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))) 3)
(-.f64 (pow.f64 (sqrt.f64 (sin.f64 x)) 2) (sin.f64 x))
(-.f64 (pow.f64 (sqrt.f64 (sin.f64 eps)) 2) (sin.f64 x))
(*.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(-.f64 (pow.f64 (pow.f64 (sin.f64 eps) 1/3) 3) (sin.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.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 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (cos.f64 x)))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(-.f64 (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))
(-.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))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(-.f64 (pow.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) 2) (sin.f64 x))
Outputs
(-.f64 (sin.f64 eps) (sin.f64 x))
(*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x)))
(-.f64 (sin.f64 eps) (sin.f64 x))
Calls

4 calls:

102.0ms
x
99.0ms
eps
47.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
42.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
ErrorSegmentsBranch
18.6b3x
16.9b3eps
17.6b3(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
17.6b3(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 546 to 211 computations (61.4% saved)

bsearch117.0ms (0.8%)

Algorithm
binary-search
Steps
TimeLeftRight
58.0ms
0.0016076085439205817
2260.4293333508335
59.0ms
-3091.2144165842037
-0.09173625961675194
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes85.0ms (0.6%)

Counts
17 → 3
Calls
Call 1
Inputs
0
eps
(log.f64 1)
(sin.f64 eps)
(*.f64 (cos.f64 x) eps)
(-.f64 (*.f64 x (cos.f64 eps)) x)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 x) (sin.f64 x))
(fma.f64 (cos.f64 eps) x (neg.f64 x))
(log.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)))
(-.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) x) (sin.f64 eps)) x)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
Outputs
(-.f64 (sin.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(-.f64 (sin.f64 eps) (sin.f64 x))
Calls

4 calls:

26.0ms
eps
25.0ms
x
15.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
15.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
ErrorSegmentsBranch
18.6b3x
17.2b3eps
17.8b3(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
17.8b3(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 122 to 60 computations (50.8% saved)

bsearch118.0ms (0.8%)

Algorithm
binary-search
Steps
TimeLeftRight
60.0ms
0.0016076085439205817
2260.4293333508335
58.0ms
-3091.2144165842037
-0.09173625961675194
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes34.0ms (0.2%)

Counts
8 → 3
Calls
Call 1
Inputs
0
eps
(log.f64 1)
(sin.f64 eps)
(*.f64 (cos.f64 x) eps)
(-.f64 (*.f64 x (cos.f64 eps)) x)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
Outputs
(sin.f64 eps)
(*.f64 (cos.f64 x) eps)
(sin.f64 eps)
Calls

2 calls:

16.0ms
eps
15.0ms
x
Results
ErrorSegmentsBranch
19.0b3x
17.6b3eps
Compiler

Compiled 38 to 22 computations (42.1% saved)

bsearch119.0ms (0.8%)

Algorithm
binary-search
Steps
TimeLeftRight
58.0ms
0.0016076085439205817
2260.4293333508335
60.0ms
-3091.2144165842037
-0.09173625961675194
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes9.0ms (0.1%)

Counts
4 → 1
Calls
Call 1
Inputs
0
eps
(log.f64 1)
(sin.f64 eps)
Outputs
(sin.f64 eps)
Calls

2 calls:

4.0ms
x
4.0ms
eps
Results
ErrorSegmentsBranch
31.0b1x
31.0b1eps
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes9.0ms (0.1%)

Accuracy

Total -14.8b remaining (-31.6%)

Threshold costs -14.8b (-31.6%)

Counts
3 → 1
Calls
Call 1
Inputs
0
eps
(log.f64 1)
Outputs
eps
Calls

2 calls:

4.0ms
eps
3.0ms
x
Results
ErrorSegmentsBranch
46.9b1x
46.9b1eps
Compiler

Compiled 12 to 9 computations (25% saved)

simplify73.0ms (0.5%)

Algorithm
egg-herbie
Rules
128×distribute-rgt-neg-in_binary64
103×cancel-sign-sub-inv_binary64
81×distribute-lft-neg-in_binary64
75×distribute-lft-neg-out_binary64
70×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062377
194377
2120377
3138377
4157377
5175377
6192377
7209377
8229377
9272377
10343377
11440377
12518377
13569377
14607377
15631377
16661377
17691377
18723377
19760377
20794377
21829377
22874377
23903377
24912377
25921377
26925377
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (*.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 eps) 2))) (+.f64 (cos.f64 eps) 1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.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 (cos.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
(if (<=.f64 eps -106213318593223/34359738368) (+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (sin.f64 x)) (if (<=.f64 eps 4970736671570387/2199023255552) (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x))) (+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (sin.f64 x))))
(if (<=.f64 eps -106213318593223/34359738368) (+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (sin.f64 x)) (if (<=.f64 eps 4970736671570387/2199023255552) (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x))) (+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (sin.f64 x))))
(if (<=.f64 eps -106213318593223/34359738368) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 29655143380411832/18446744073709551616) (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x))) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -106213318593223/34359738368) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 29655143380411832/18446744073709551616) (*.f64 (cos.f64 x) eps) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -106213318593223/34359738368) (sin.f64 eps) (if (<=.f64 eps 29655143380411832/18446744073709551616) (*.f64 (cos.f64 x) eps) (sin.f64 eps)))
(sin.f64 eps)
eps
0
Outputs
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (*.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 eps) 2))) (+.f64 (cos.f64 eps) 1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps)))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(if (<=.f64 eps -106213318593223/34359738368) (+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (sin.f64 x)) (if (<=.f64 eps 4970736671570387/2199023255552) (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x))) (+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (sin.f64 x))))
(if (<=.f64 eps -106213318593223/34359738368) (+.f64 (sin.f64 x) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x))) (if (<=.f64 eps 4970736671570387/2199023255552) (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps)))) (+.f64 (sin.f64 x) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))))
(if (<=.f64 eps -106213318593223/34359738368) (+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (sin.f64 x)) (if (<=.f64 eps 4970736671570387/2199023255552) (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x))) (+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (sin.f64 x))))
(if (<=.f64 eps -106213318593223/34359738368) (+.f64 (sin.f64 x) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x))) (if (<=.f64 eps 4970736671570387/2199023255552) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) (+.f64 (sin.f64 x) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))))
(if (<=.f64 eps -106213318593223/34359738368) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 29655143380411832/18446744073709551616) (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x))) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -106213318593223/34359738368) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 3706892922551479/2305843009213693952) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -106213318593223/34359738368) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 29655143380411832/18446744073709551616) (*.f64 (cos.f64 x) eps) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -106213318593223/34359738368) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 3706892922551479/2305843009213693952) (*.f64 eps (cos.f64 x)) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -106213318593223/34359738368) (sin.f64 eps) (if (<=.f64 eps 29655143380411832/18446744073709551616) (*.f64 (cos.f64 x) eps) (sin.f64 eps)))
(if (<=.f64 eps -106213318593223/34359738368) (sin.f64 eps) (if (<=.f64 eps 3706892922551479/2305843009213693952) (*.f64 eps (cos.f64 x)) (sin.f64 eps)))
(sin.f64 eps)
eps
0
Compiler

Compiled 268 to 154 computations (42.5% saved)

soundness82.0ms (0.6%)

Algorithm
egg-herbie
Rules
705×associate-+l+_binary64
452×fma-neg_binary64
440×associate-+r+_binary64
413×*-commutative_binary64
413×fma-def_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
080950
1225935
2608849
32346848
45022848
56604846
Stop Event
node limit
Compiler

Compiled 93 to 67 computations (28% saved)

end95.0ms (0.6%)

Compiler

Compiled 242 to 86 computations (64.5% saved)

Profiling

Loading profile data...