Details

Time bar (total: 19.1s)

analyze0.0ms (0%)

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

Compiled 10 to 7 computations (30% saved)

sample4.5s (23.6%)

Results
2.0s3966×body1024valid
1.8s2103×body2048valid
465.0ms1335×body512valid
255.0ms847×body256valid
6.0ms5×body4096valid

preprocess50.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 11 to 8 computations (27.3% saved)

simplify12.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

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

eval0.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
39.1b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶39.1b
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓1.8b
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓3.3b
(cos.f64 (+.f64 x eps))
Compiler

Compiled 20 to 6 computations (70% saved)

series6.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite139.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
588×unpow-prod-down_binary64
457×fma-def_binary64
445×log-prod_binary64
271×pow-prod-down_binary64
266×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
117417
2276217
Stop Event
1×node limit
Counts
2 → 183
Calls
Call 1
Inputs
(cos.f64 (+.f64 x eps))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Outputs
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x) 3)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) 2))) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) 2))) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) 2))) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (cos.f64 x))) 2) (cbrt.f64 (neg.f64 (cos.f64 x))) (cos.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (cos.f64 x))) (sqrt.f64 (neg.f64 (cos.f64 x))) (cos.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (cos.f64 x) (cos.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))))))

simplify67.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
813×fma-neg_binary64
459×neg-mul-1_binary64
395×fma-def_binary64
369×associate-+l+_binary64
297×distribute-rgt-neg-out_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
068630
1191612
2512583
32203567
47547567
Stop Event
1×node limit
Counts
231 → 219
Calls
Call 1
Inputs
(cos.f64 eps)
(+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 -1 (*.f64 x (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 -1 (*.f64 x (sin.f64 eps))))))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(-.f64 (cos.f64 eps) 1)
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))))) 1)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
Outputs
(cos.f64 eps)
(+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps))))
(+.f64 (cos.f64 eps) (*.f64 (neg.f64 x) (sin.f64 eps)))
(-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps)))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 -1 (*.f64 x (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (fma.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x)) (*.f64 (neg.f64 x) (sin.f64 eps))))
(+.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (*.f64 (cos.f64 eps) (*.f64 (*.f64 x x) -1/2)))
(+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 (cos.f64 eps) (*.f64 -1/2 x)) (sin.f64 eps))))
(+.f64 (cos.f64 eps) (*.f64 x (fma.f64 (cos.f64 eps) (*.f64 x -1/2) (neg.f64 (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 -1 (*.f64 x (sin.f64 eps))))))
(+.f64 (cos.f64 eps) (fma.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (fma.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x)) (*.f64 (neg.f64 x) (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 (cos.f64 eps) (*.f64 (*.f64 x x) -1/2)) (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x)))))
(+.f64 (cos.f64 eps) (fma.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 x x)) (*.f64 (sin.f64 eps) (fma.f64 1/6 (pow.f64 x 3) (neg.f64 x)))))
(fma.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (cos.f64 eps) (*.f64 (sin.f64 eps) (-.f64 (*.f64 1/6 (pow.f64 x 3)) x)))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (+.f64 eps x))
(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (cos.f64 x) (*.f64 (neg.f64 eps) (sin.f64 x)))
(-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))
(+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))))
(+.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 (neg.f64 eps) (sin.f64 x))))
(-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 1) (cos.f64 x)) (*.f64 eps (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1)) (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))))
(fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (+.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 (neg.f64 eps) (sin.f64 x)))))
(fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 1) (cos.f64 x)) (*.f64 eps (sin.f64 x))))
(fma.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))))
(fma.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (+.f64 eps x))
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
(+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 x) (sin.f64 eps)) 1))
(+.f64 (cos.f64 eps) (fma.f64 (neg.f64 x) (sin.f64 eps) -1))
(+.f64 (cos.f64 eps) (fma.f64 (sin.f64 eps) (neg.f64 x) -1))
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) 1))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1)
(+.f64 (+.f64 (cos.f64 eps) (fma.f64 -1 (*.f64 x (sin.f64 eps)) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))))) -1)
(+.f64 (fma.f64 (*.f64 x x) (fma.f64 (cos.f64 eps) -1/2 1/2) (*.f64 (sin.f64 eps) (neg.f64 x))) (+.f64 (cos.f64 eps) -1))
(+.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (-.f64 (*.f64 x (fma.f64 (cos.f64 eps) -1/2 1/2)) (sin.f64 eps))))
(+.f64 (cos.f64 eps) (fma.f64 x (fma.f64 x (fma.f64 (cos.f64 eps) -1/2 1/2) (neg.f64 (sin.f64 eps))) -1))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))))) 1)
(+.f64 (+.f64 (cos.f64 eps) (fma.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (fma.f64 -1 (*.f64 x (sin.f64 eps)) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)))))) -1)
(+.f64 (+.f64 (*.f64 x (*.f64 x (fma.f64 (cos.f64 eps) -1/2 1/2))) (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x)))) (+.f64 (cos.f64 eps) -1))
(+.f64 (cos.f64 eps) (fma.f64 (sin.f64 eps) (fma.f64 1/6 (pow.f64 x 3) (neg.f64 x)) (fma.f64 x (*.f64 x (fma.f64 (cos.f64 eps) -1/2 1/2)) -1)))
(+.f64 (cos.f64 eps) (fma.f64 (sin.f64 eps) (-.f64 (*.f64 1/6 (pow.f64 x 3)) x) (fma.f64 (*.f64 x x) (fma.f64 (cos.f64 eps) -1/2 1/2) -1)))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 eps (neg.f64 (sin.f64 x)))
(*.f64 (sin.f64 x) (neg.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 (neg.f64 eps) (sin.f64 x)))
(-.f64 (*.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x)))) (*.f64 eps (sin.f64 x)))
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))))
(fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 (neg.f64 eps) (sin.f64 x))))
(-.f64 (fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x))))) (*.f64 eps (sin.f64 x)))
(fma.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))))
(fma.f64 eps (*.f64 eps (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))))
(fma.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)) (fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 (neg.f64 eps) (sin.f64 x)))))
(fma.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)) (-.f64 (fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x))))) (*.f64 eps (sin.f64 x))))
(fma.f64 (cos.f64 x) (*.f64 1/24 (pow.f64 eps 4)) (fma.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))))
(+.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)) (*.f64 (cos.f64 x) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (*.f64 eps eps)))))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))

eval53.0ms (0.3%)

Compiler

Compiled 3964 to 1199 computations (69.8% saved)

prune113.0ms (0.6%)

Pruning

43 alts after pruning (42 fresh and 1 done)

PrunedKeptTotal
New17742219
Fresh000
Picked011
Done000
Total17743220
Error
0.2b
Counts
220 → 43
Alt Table
Click to see full alt table
StatusErrorProgram
▶50.4b
(-.f64 (exp.f64 (log.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
40.6b
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1)
39.2b
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3))
33.7b
(-.f64 (fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (cos.f64 x))
39.3b
(-.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3)) (cos.f64 x))
31.6b
(+.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)) (*.f64 (cos.f64 x) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (*.f64 eps eps)))))
40.3b
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
39.1b
(log.f64 (*.f64 (exp.f64 (neg.f64 (cos.f64 x))) (exp.f64 (cos.f64 (+.f64 x eps)))))
39.2b
(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
31.6b
(fma.f64 eps (*.f64 eps (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))
▶39.4b
(-.f64 (cos.f64 eps) 1)
40.6b
(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
26.6b
(-.f64 (fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (cos.f64 x))
31.4b
(*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))
38.9b
(-.f64 (cos.f64 eps) (cos.f64 x))
26.8b
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
39.5b
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2) (cbrt.f64 (cos.f64 (+.f64 x eps))) (neg.f64 (cos.f64 x)))
39.2b
(log.f64 (/.f64 (exp.f64 (cos.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 (cos.f64 x)))))
39.1b
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) 2)))
39.3b
(-.f64 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) 1) (cos.f64 x))
31.4b
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
▶26.1b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
39.3b
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 x eps)))) (exp.f64 (cos.f64 x))))
39.5b
(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
26.1b
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
37.9b
(*.f64 (sin.f64 x) (neg.f64 eps))
▶56.9b
(-.f64 (-.f64 (*.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1)) (*.f64 eps (sin.f64 x))) (cos.f64 x))
26.1b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
26.6b
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
39.1b
(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
▶13.7b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2)
26.1b
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (cos.f64 x))
33.9b
(fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
✓39.1b
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
39.5b
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) 2) 3) (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
26.2b
(-.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 2) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 2) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))))) (cos.f64 x))
15.2b
(*.f64 (pow.f64 (cbrt.f64 -2) 3) (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))
56.8b
(pow.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2)
49.3b
(expm1.f64 (log1p.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
39.3b
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
39.1b
(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
40.3b
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) 1))
47.6b
(-.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (cos.f64 x))
Compiler

Compiled 1413 to 934 computations (33.9% saved)

localize30.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 x (+.f64 x eps))
✓0.3b
(*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))
✓3.3b
(sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))
Compiler

Compiled 88 to 34 computations (61.4% saved)

series10.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

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

rewrite106.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
675×fma-def_binary64
454×log-prod_binary64
298×fma-neg_binary64
187×expm1-udef_binary64
187×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01342
130916
2479016
Stop Event
1×node limit
Counts
3 → 192
Calls
Call 1
Inputs
(sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))
(*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))
(+.f64 x (+.f64 x eps))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (*.f64 1/2 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 0) (cos.f64 (*.f64 1/2 eps))) (*.f64 (cos.f64 0) (sin.f64 (*.f64 1/2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 0)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 (+.f64 x eps) 1/2))) (*.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 (+.f64 x eps) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x eps) 1/2)) (cos.f64 (*.f64 x 1/2))) (*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 (+.f64 x eps)))) (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 x eps))) (cos.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 x eps))) (sin.f64 (*.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 1/2 eps)))) (cbrt.f64 (exp.f64 (sin.f64 (*.f64 1/2 eps)))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 1/2 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 1/2 eps))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (*.f64 1/2 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 1/2 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (*.f64 1/2 eps)))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (*.f64 1/2 eps)))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 1/2 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (*.f64 1/2 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) (cbrt.f64 (sin.f64 (*.f64 1/2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 eps))) (sqrt.f64 (sin.f64 (*.f64 1/2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps))))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (*.f64 1/2 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sin.f64 (*.f64 1/2 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 (*.f64 1/2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 1/2 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 (*.f64 1/2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 (*.f64 1/2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 (*.f64 1/2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 1/2 eps))) 1))))))
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fma.f64 eps 1 (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps 1 (neg.f64 (/.f64 0 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (+.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (-.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x eps) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x eps) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 eps 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 eps (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 eps (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 eps (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 eps (neg.f64 (/.f64 0 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 eps eps) (/.f64 1 eps) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 eps eps) (/.f64 1 eps) 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(neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) 2) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) 2) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) 2) (neg.f64 (/.f64 0 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps) (neg.f64 (/.f64 0 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (+.f64 x eps)) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (+.f64 x eps)) 2) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) 2) (cbrt.f64 (+.f64 x eps)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) 2) (cbrt.f64 (+.f64 x eps)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (neg.f64 (/.f64 0 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x eps)) (sqrt.f64 (+.f64 x eps)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x eps)) (sqrt.f64 (+.f64 x eps)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x eps) 3)) (/.f64 1 (fma.f64 x x (*.f64 (+.f64 x eps) eps))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x eps) 3)) (/.f64 1 (fma.f64 x x (*.f64 (+.f64 x eps) eps))) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x eps) 3)) (/.f64 1 (fma.f64 x x (*.f64 (+.f64 x eps) eps))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x eps) 3)) (/.f64 1 (fma.f64 x x (*.f64 (+.f64 x eps) eps))) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x eps) 3)) (/.f64 1 (fma.f64 x x (*.f64 (+.f64 x eps) eps))) (neg.f64 (/.f64 0 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 eps 3) (/.f64 1 (*.f64 eps eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 eps 3) (/.f64 1 (*.f64 eps eps)) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 eps 3) (/.f64 1 (*.f64 eps eps)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 eps 3) (/.f64 1 (*.f64 eps eps)) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 eps 3) (/.f64 1 (*.f64 eps eps)) (neg.f64 (/.f64 0 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3)) (/.f64 1 (fma.f64 eps (-.f64 eps x) (*.f64 x x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3)) (/.f64 1 (fma.f64 eps (-.f64 eps x) (*.f64 x x))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 eps (-.f64 0 eps)) (/.f64 1 (-.f64 0 eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 eps (-.f64 0 eps)) (/.f64 1 (-.f64 0 eps)) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 eps (-.f64 0 eps)) (/.f64 1 (-.f64 0 eps)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 eps (-.f64 0 eps)) (/.f64 1 (-.f64 0 eps)) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 eps (-.f64 0 eps)) (/.f64 1 (-.f64 0 eps)) (neg.f64 (/.f64 0 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (/.f64 1 (-.f64 x eps)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (/.f64 1 (-.f64 x eps)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 x eps)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 x eps)) (sqrt.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 x eps)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 x eps)) (sqrt.f64 x)) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 x eps)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 x eps)) (sqrt.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 x eps)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 x eps)) (sqrt.f64 x)) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 x eps)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 x eps)) (sqrt.f64 x)) (neg.f64 (/.f64 0 eps)))))))

simplify71.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
643×fma-neg_binary64
582×fma-def_binary64
505×neg-sub0_binary64
460×neg-mul-1_binary64
360×distribute-rgt-neg-out_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
090986
1256974
2710847
32755825
45996822
Stop Event
1×node limit
Counts
264 → 234
Calls
Call 1
Inputs
(sin.f64 (*.f64 1/2 eps))
(+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (sin.f64 (*.f64 1/2 eps)))
(+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 2)))))
(+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (+.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3))) (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 2))))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))
(sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))
(sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))
(sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))
(sin.f64 x)
(+.f64 (*.f64 1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))
(+.f64 (*.f64 -1/8 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (*.f64 1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(+.f64 (*.f64 -1/8 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (*.f64 -1/48 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (+.f64 (*.f64 1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))
(sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))
(sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))
(sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))
(*.f64 1/2 (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 1/2 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (sin.f64 x)) (*.f64 -1/48 (sin.f64 x)))) (*.f64 1/2 (*.f64 eps (sin.f64 x)))))
(+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (sin.f64 x)) (*.f64 -1/48 (sin.f64 x)))) (+.f64 (*.f64 -1/48 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (*.f64 1/2 (*.f64 eps (sin.f64 x))))))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 -1/2 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 2)))))
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (+.f64 (*.f64 -1/6 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3)))) (*.f64 -1/2 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 2))))))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))
eps
(+.f64 (*.f64 2 x) eps)
(+.f64 (*.f64 2 x) eps)
(+.f64 (*.f64 2 x) eps)
(*.f64 2 x)
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 2 x))
(*.f64 2 x)
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 2 x))
(*.f64 2 x)
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 2 x))
eps
(+.f64 (*.f64 2 x) eps)
(+.f64 (*.f64 2 x) eps)
(+.f64 (*.f64 2 x) eps)
eps
(+.f64 (*.f64 2 x) eps)
(+.f64 (*.f64 2 x) eps)
(+.f64 (*.f64 2 x) eps)
Outputs
(sin.f64 (*.f64 1/2 eps))
(+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (sin.f64 (*.f64 1/2 eps)))
(fma.f64 (cos.f64 (*.f64 1/2 eps)) x (sin.f64 (*.f64 1/2 eps)))
(+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 2)))))
(+.f64 (fma.f64 (cos.f64 (*.f64 1/2 eps)) x (sin.f64 (*.f64 1/2 eps))) (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x x))))
(fma.f64 (cos.f64 (*.f64 1/2 eps)) x (fma.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x x)) (sin.f64 (*.f64 1/2 eps))))
(fma.f64 (cos.f64 (*.f64 1/2 eps)) x (*.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) 1) (sin.f64 (*.f64 1/2 eps))))
(fma.f64 (cos.f64 (*.f64 1/2 eps)) x (*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (sin.f64 (*.f64 1/2 eps))))
(+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (+.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3))) (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 2))))))
(+.f64 (fma.f64 (cos.f64 (*.f64 1/2 eps)) x (sin.f64 (*.f64 1/2 eps))) (fma.f64 -1/6 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3)) (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x x)))))
(+.f64 (fma.f64 (cos.f64 (*.f64 1/2 eps)) x (sin.f64 (*.f64 1/2 eps))) (fma.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x x)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 (pow.f64 x 3) -1/6))))
(fma.f64 (cos.f64 (*.f64 1/2 eps)) x (fma.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 -1/6 (pow.f64 x 3)) (*.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) 1) (sin.f64 (*.f64 1/2 eps)))))
(+.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (sin.f64 (*.f64 1/2 eps))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 x)
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(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
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(sin.f64 (fma.f64 1/2 eps x))
(*.f64 1/2 (*.f64 eps (sin.f64 x)))
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(fma.f64 1/4 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) -1/12) (fma.f64 (*.f64 1/2 eps) (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 -1/48 (pow.f64 eps 4))))))
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(+.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 (*.f64 -1/12 (*.f64 eps eps)) 1/2))) (*.f64 (cos.f64 x) (+.f64 (*.f64 eps (*.f64 eps 1/4)) (*.f64 -1/48 (pow.f64 eps 4)))))
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(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(fma.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (cos.f64 (*.f64 1/2 eps)) x (sin.f64 (*.f64 1/2 eps))))
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 -1/2 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 2)))))
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(+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (+.f64 (*.f64 -1/6 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3)))) (*.f64 -1/2 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 2))))))
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(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))
eps
(+.f64 (*.f64 2 x) eps)
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(+.f64 (*.f64 2 x) eps)
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(+.f64 (*.f64 2 x) eps)
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(*.f64 2 x)
(*.f64 x 2)
(+.f64 eps (*.f64 2 x))
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(+.f64 eps (*.f64 2 x))
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(+.f64 eps (*.f64 2 x))
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(*.f64 2 x)
(*.f64 x 2)
(+.f64 eps (*.f64 2 x))
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(+.f64 eps (*.f64 2 x))
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(+.f64 eps (*.f64 2 x))
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(*.f64 2 x)
(*.f64 x 2)
(+.f64 eps (*.f64 2 x))
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(+.f64 eps (*.f64 2 x))
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(+.f64 eps (*.f64 2 x))
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
eps
(+.f64 (*.f64 2 x) eps)
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(+.f64 (*.f64 2 x) eps)
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(+.f64 (*.f64 2 x) eps)
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
eps
(+.f64 (*.f64 2 x) eps)
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(+.f64 (*.f64 2 x) eps)
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(+.f64 (*.f64 2 x) eps)
(fma.f64 2 x eps)
(fma.f64 x 2 eps)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓1.8b
(-.f64 (cos.f64 eps) 1)
Compiler

Compiled 10 to 6 computations (40% saved)

series1.0ms (0%)

Counts
1 → 4
Calls

3 calls:

TimeVariablePointExpression
1.0ms
eps
@0
(-.f64 (cos.f64 eps) 1)
0.0ms
eps
@-inf
(-.f64 (cos.f64 eps) 1)
0.0ms
eps
@inf
(-.f64 (cos.f64 eps) 1)

rewrite66.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
498×pow1_binary64
485×add-sqr-sqrt_binary64
464×add-log-exp_binary64
463×log1p-expm1-u_binary64
463×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
11046
212836
Stop Event
1×node limit
Counts
1 → 31
Calls
Call 1
Inputs
(-.f64 (cos.f64 eps) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 eps) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (cos.f64 eps) 3) -1) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (/.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 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (+.f64 (pow.f64 (cos.f64 eps) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (cos.f64 eps) 3) -1) (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (cos.f64 eps) 3) -1) (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (+.f64 (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (-.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 3) -1)) (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (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) 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 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 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 log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cos.f64 eps) -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)))))

simplify100.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
601×distribute-rgt-out_binary64
520×sqr-pow_binary64
481×associate-+l+_binary64
477×distribute-lft-out_binary64
413×unswap-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02470
15670
212970
342070
4199570
5437770
6475170
7525770
8624770
9723170
10767070
Stop Event
1×node limit
Counts
35 → 39
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)))))
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 eps (*.f64 eps (fma.f64 eps (*.f64 eps 1/24) -1/2)))
(+.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 -1/2 (*.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) (*.f64 1/24 (pow.f64 eps 4))))
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps 1/24) -1/2) (*.f64 -1/720 (pow.f64 eps 6)))
(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 1/40320 (pow.f64 eps 8) (fma.f64 -1/720 (pow.f64 eps 6) (*.f64 -1/2 (*.f64 eps eps)))))
(fma.f64 (pow.f64 eps 4) (fma.f64 (pow.f64 eps 4) 1/40320 1/24) (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) (fma.f64 -1/720 (pow.f64 eps 6) (*.f64 1/40320 (pow.f64 eps 8)))))

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(exp.f64 (log.f64 (cos.f64 (+.f64 x eps))))
✓2.9b
(-.f64 (exp.f64 (log.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
3.3b
(cos.f64 (+.f64 x eps))
✓3.6b
(log.f64 (cos.f64 (+.f64 x eps)))
Compiler

Compiled 33 to 8 computations (75.8% saved)

series123.0ms (0.6%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
35.0ms
eps
@inf
(log.f64 (cos.f64 (+.f64 x eps)))
35.0ms
eps
@-inf
(log.f64 (cos.f64 (+.f64 x eps)))
27.0ms
x
@inf
(log.f64 (cos.f64 (+.f64 x eps)))
19.0ms
x
@-inf
(log.f64 (cos.f64 (+.f64 x eps)))
2.0ms
x
@0
(log.f64 (cos.f64 (+.f64 x eps)))

rewrite145.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
449×log-prod_binary64
368×fma-def_binary64
342×exp-prod_binary64
288×pow-prod-down_binary64
263×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0925
118825
2268525
Stop Event
1×node limit
Counts
3 → 214
Calls
Call 1
Inputs
(log.f64 (cos.f64 (+.f64 x eps)))
(-.f64 (exp.f64 (log.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(exp.f64 (log.f64 (cos.f64 (+.f64 x eps))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cos.f64 (+.f64 x eps))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))) (*.f64 2 (log.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (log.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))))) (log.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (cos.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (cos.f64 (+.f64 x eps)))) (log.f64 (sqrt.f64 (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (cos.f64 (+.f64 x eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3))) (log.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 2) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 2) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 2) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 2))) (log.f64 (cos.f64 (-.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (cos.f64 (+.f64 x eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (cos.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (cos.f64 (+.f64 x eps)))) (pow.f64 (cbrt.f64 (log.f64 (cos.f64 (+.f64 x eps)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (cos.f64 (+.f64 x eps)))) 2) (cbrt.f64 (log.f64 (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (cos.f64 (+.f64 x eps)))) (sqrt.f64 (log.f64 (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (log.f64 (cbrt.f64 (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (log.f64 (sqrt.f64 (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (*.f64 3 (log.f64 (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (cos.f64 (+.f64 x eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (cos.f64 (+.f64 x eps))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (cos.f64 (+.f64 x eps))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (cos.f64 (+.f64 x eps)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (cos.f64 (+.f64 x eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (log.f64 (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (cos.f64 (+.f64 x eps))))) 2)) (cbrt.f64 (log.f64 (log.f64 (cos.f64 (+.f64 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (cos.f64 (+.f64 x eps)))))) (sqrt.f64 (log.f64 (log.f64 (cos.f64 (+.f64 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (cos.f64 (+.f64 x eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (cos.f64 (+.f64 x eps))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (cos.f64 (+.f64 x eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (cos.f64 (+.f64 x eps)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 (cos.f64 (+.f64 x eps))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (cos.f64 (+.f64 x eps))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (cos.f64 (+.f64 x eps))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 (cos.f64 (+.f64 x eps)))) 1) 1))))))
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(neg.f64 (sin.f64 x)) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))))))

simplify96.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
670×fma-def_binary64
574×associate-*r*_binary64
534×associate-*l*_binary64
378×unswap-sqr_binary64
216×times-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01231081
13701043
21176996
36427990
Stop Event
1×node limit
Counts
286 → 267
Calls
Call 1
Inputs
(log.f64 (cos.f64 eps))
(+.f64 (log.f64 (cos.f64 eps)) (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))))
(+.f64 (*.f64 1/2 (*.f64 (-.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 1) (pow.f64 x 2))) (+.f64 (log.f64 (cos.f64 eps)) (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps)))))
(+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (+.f64 (*.f64 -3 (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 1) (pow.f64 x 2))) (+.f64 (log.f64 (cos.f64 eps)) (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))))))
(log.f64 (cos.f64 (+.f64 eps x)))
(log.f64 (cos.f64 (+.f64 eps x)))
(log.f64 (cos.f64 (+.f64 eps x)))
(log.f64 (cos.f64 (+.f64 eps x)))
(log.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))))
(log.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))))
(log.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))))
(log.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))))
(log.f64 (cos.f64 x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (log.f64 (cos.f64 x)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (+.f64 (log.f64 (cos.f64 x)) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (+.f64 (log.f64 (cos.f64 x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1))) (*.f64 1/6 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -3 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))))))))
(log.f64 (cos.f64 (+.f64 eps x)))
(log.f64 (cos.f64 (+.f64 eps x)))
(log.f64 (cos.f64 (+.f64 eps x)))
(log.f64 (cos.f64 (+.f64 eps x)))
(log.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))))
(log.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))))
(log.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))))
(log.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))))
(-.f64 (cos.f64 eps) 1)
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))))) 1)
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(cos.f64 eps)
(+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 -1 (*.f64 x (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 -1 (*.f64 x (sin.f64 eps))))))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
Outputs
(log.f64 (cos.f64 eps))
(+.f64 (log.f64 (cos.f64 eps)) (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))))
(+.f64 (log.f64 (cos.f64 eps)) (/.f64 (*.f64 (neg.f64 x) (sin.f64 eps)) (cos.f64 eps)))
(-.f64 (log.f64 (cos.f64 eps)) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x))
(-.f64 (log.f64 (cos.f64 eps)) (*.f64 x (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 1/2 (*.f64 (-.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 1) (pow.f64 x 2))) (+.f64 (log.f64 (cos.f64 eps)) (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps)))))
(fma.f64 1/2 (*.f64 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (*.f64 x x)) (+.f64 (log.f64 (cos.f64 eps)) (/.f64 (*.f64 (neg.f64 x) (sin.f64 eps)) (cos.f64 eps))))
(-.f64 (fma.f64 1/2 (*.f64 x (*.f64 x (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1))) (log.f64 (cos.f64 eps))) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x))
(-.f64 (fma.f64 (*.f64 x x) (fma.f64 1/2 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) -1/2) (log.f64 (cos.f64 eps))) (*.f64 x (/.f64 (sin.f64 eps) (cos.f64 eps))))
(-.f64 (fma.f64 (*.f64 x x) (-.f64 -1/2 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (log.f64 (cos.f64 eps))) (*.f64 x (/.f64 (sin.f64 eps) (cos.f64 eps))))
(+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (+.f64 (*.f64 -3 (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 1) (pow.f64 x 2))) (+.f64 (log.f64 (cos.f64 eps)) (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) x) (cos.f64 eps))))))
(fma.f64 1/6 (*.f64 (fma.f64 -2 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (*.f64 -2 (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 3)) (fma.f64 1/2 (*.f64 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1) (*.f64 x x)) (+.f64 (log.f64 (cos.f64 eps)) (/.f64 (*.f64 (neg.f64 x) (sin.f64 eps)) (cos.f64 eps)))))
(fma.f64 1/6 (*.f64 (*.f64 -2 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (pow.f64 x 3)) (-.f64 (fma.f64 1/2 (*.f64 x (*.f64 x (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) -1))) (log.f64 (cos.f64 eps))) (*.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) x)))
(-.f64 (fma.f64 (pow.f64 x 3) (*.f64 -1/3 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (fma.f64 (*.f64 x x) (fma.f64 1/2 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) -1/2) (log.f64 (cos.f64 eps)))) (*.f64 x (/.f64 (sin.f64 eps) (cos.f64 eps))))
(-.f64 (fma.f64 (pow.f64 x 3) (*.f64 -1/3 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) 3) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (fma.f64 (*.f64 x x) (-.f64 -1/2 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (log.f64 (cos.f64 eps)))) (*.f64 x (/.f64 (sin.f64 eps) (cos.f64 eps))))
(log.f64 (cos.f64 (+.f64 eps x)))
(log.f64 (cos.f64 (+.f64 eps x)))
(log.f64 (cos.f64 (+.f64 eps x)))
(log.f64 (cos.f64 (+.f64 eps x)))
(log.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))))
(log.f64 (cos.f64 (+.f64 eps x)))
(log.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))))
(log.f64 (cos.f64 (+.f64 eps x)))
(log.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))))
(log.f64 (cos.f64 (+.f64 eps x)))
(log.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))))
(log.f64 (cos.f64 (+.f64 eps x)))
(log.f64 (cos.f64 x))
(+.f64 (*.f64 -1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (log.f64 (cos.f64 x)))
(fma.f64 -1 (/.f64 eps (/.f64 (cos.f64 x) (sin.f64 x))) (log.f64 (cos.f64 x)))
(-.f64 (log.f64 (cos.f64 x)) (*.f64 (/.f64 eps (cos.f64 x)) (sin.f64 x)))
(-.f64 (log.f64 (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) eps)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (+.f64 (log.f64 (cos.f64 x)) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1)))))
(+.f64 (fma.f64 -1 (/.f64 eps (/.f64 (cos.f64 x) (sin.f64 x))) (log.f64 (cos.f64 x))) (*.f64 (*.f64 1/2 (*.f64 eps eps)) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)))
(-.f64 (fma.f64 1/2 (*.f64 eps (*.f64 eps (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1))) (log.f64 (cos.f64 x))) (*.f64 (/.f64 eps (cos.f64 x)) (sin.f64 x)))
(fma.f64 (-.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (*.f64 1/2 (*.f64 eps eps)) (-.f64 (log.f64 (cos.f64 x)) (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) eps))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (+.f64 (log.f64 (cos.f64 x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (-.f64 (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) 1))) (*.f64 1/6 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -3 (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))))))))
(+.f64 (fma.f64 -1 (/.f64 eps (/.f64 (cos.f64 x) (sin.f64 x))) (log.f64 (cos.f64 x))) (fma.f64 1/2 (*.f64 (*.f64 eps eps) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1)) (*.f64 (*.f64 1/6 (pow.f64 eps 3)) (fma.f64 -3 (/.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 x) 3))))))))
(+.f64 (-.f64 (log.f64 (cos.f64 x)) (*.f64 (/.f64 eps (cos.f64 x)) (sin.f64 x))) (fma.f64 1/6 (*.f64 (pow.f64 eps 3) (+.f64 (/.f64 -2 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 x) 3))) (*.f64 -2 (/.f64 (sin.f64 x) (cos.f64 x))))) (*.f64 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) -1) (*.f64 1/2 (*.f64 eps eps)))))
(-.f64 (fma.f64 1/2 (*.f64 (*.f64 eps eps) (-.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)))) (fma.f64 (*.f64 -2 (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3))) (*.f64 1/6 (pow.f64 eps 3)) (log.f64 (cos.f64 x)))) (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) eps)))
(log.f64 (cos.f64 (+.f64 eps x)))
(log.f64 (cos.f64 (+.f64 eps x)))
(log.f64 (cos.f64 (+.f64 eps x)))
(log.f64 (cos.f64 (+.f64 eps x)))
(log.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))))
(log.f64 (cos.f64 (+.f64 eps x)))
(log.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))))
(log.f64 (cos.f64 (+.f64 eps x)))
(log.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))))
(log.f64 (cos.f64 (+.f64 eps x)))
(log.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))))
(log.f64 (cos.f64 (+.f64 eps x)))
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
(+.f64 (cos.f64 eps) (-.f64 (*.f64 (neg.f64 x) (sin.f64 eps)) 1))
(+.f64 (cos.f64 eps) (fma.f64 (neg.f64 x) (sin.f64 eps) -1))
(fma.f64 (sin.f64 eps) (neg.f64 x) (+.f64 (cos.f64 eps) -1))
(+.f64 (cos.f64 eps) (fma.f64 x (sin.f64 (neg.f64 eps)) -1))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1)
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 -1 (*.f64 (sin.f64 eps) x) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)))) 1))
(+.f64 (fma.f64 (*.f64 x x) (fma.f64 (cos.f64 eps) -1/2 1/2) (*.f64 (sin.f64 eps) (neg.f64 x))) (+.f64 (cos.f64 eps) -1))
(+.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (-.f64 (*.f64 x (fma.f64 (cos.f64 eps) -1/2 1/2)) (sin.f64 eps))))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))))) 1)
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (fma.f64 -1 (*.f64 (sin.f64 eps) x) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))))) 1))
(+.f64 -1 (+.f64 (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))) (+.f64 (*.f64 x (*.f64 x (fma.f64 (cos.f64 eps) -1/2 1/2))) (cos.f64 eps))))
(+.f64 (cos.f64 eps) (fma.f64 (sin.f64 eps) (fma.f64 1/6 (pow.f64 x 3) (neg.f64 x)) (fma.f64 x (*.f64 x (fma.f64 (cos.f64 eps) -1/2 1/2)) -1)))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 (neg.f64 eps) (sin.f64 x)))
(fma.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x))) (*.f64 (sin.f64 x) (neg.f64 eps)))
(-.f64 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))) (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))))
(fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 (neg.f64 eps) (sin.f64 x))))
(-.f64 (fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 (cos.f64 x) (*.f64 (*.f64 eps eps) -1/2))) (*.f64 eps (sin.f64 x)))
(fma.f64 (cos.f64 x) (*.f64 eps (*.f64 eps -1/2)) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))))
(fma.f64 (cos.f64 x) (*.f64 eps (*.f64 eps -1/2)) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))))
(fma.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)) (fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 (neg.f64 eps) (sin.f64 x)))))
(fma.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)) (-.f64 (fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 (cos.f64 x) (*.f64 (*.f64 eps eps) -1/2))) (*.f64 eps (sin.f64 x))))
(fma.f64 (cos.f64 x) (*.f64 1/24 (pow.f64 eps 4)) (fma.f64 (cos.f64 x) (*.f64 eps (*.f64 eps -1/2)) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))))
(fma.f64 (cos.f64 x) (*.f64 1/24 (pow.f64 eps 4)) (fma.f64 (cos.f64 x) (*.f64 eps (*.f64 eps -1/2)) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps))))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(cos.f64 eps)
(+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps))))
(+.f64 (cos.f64 eps) (*.f64 (neg.f64 x) (sin.f64 eps)))
(-.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) x))
(fma.f64 x (sin.f64 (neg.f64 eps)) (cos.f64 eps))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 -1 (*.f64 x (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (fma.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x)) (*.f64 (neg.f64 x) (sin.f64 eps))))
(+.f64 (cos.f64 eps) (fma.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x)) (*.f64 (sin.f64 eps) (neg.f64 x))))
(+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 (cos.f64 eps) (*.f64 -1/2 x)) (sin.f64 eps))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 -1 (*.f64 x (sin.f64 eps))))))
(+.f64 (cos.f64 eps) (fma.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (fma.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x)) (*.f64 (neg.f64 x) (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 x x))) (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x)))))
(+.f64 (*.f64 (sin.f64 eps) (fma.f64 1/6 (pow.f64 x 3) (neg.f64 x))) (fma.f64 (*.f64 x x) (*.f64 (cos.f64 eps) -1/2) (cos.f64 eps)))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (+.f64 eps x))
(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (cos.f64 x) (*.f64 (neg.f64 eps) (sin.f64 x)))
(-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))
(fma.f64 eps (neg.f64 (sin.f64 x)) (cos.f64 x))
(+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))))
(+.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 (neg.f64 eps) (sin.f64 x))))
(-.f64 (*.f64 (+.f64 (*.f64 (*.f64 eps eps) -1/2) 1) (cos.f64 x)) (*.f64 eps (sin.f64 x)))
(fma.f64 (sin.f64 x) (neg.f64 eps) (*.f64 (cos.f64 x) (fma.f64 (*.f64 eps eps) -1/2 1)))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))))
(fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (+.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 (neg.f64 eps) (sin.f64 x)))))
(fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (-.f64 (*.f64 (+.f64 (*.f64 (*.f64 eps eps) -1/2) 1) (cos.f64 x)) (*.f64 eps (sin.f64 x))))
(fma.f64 (fma.f64 (*.f64 eps eps) -1/2 1) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))))
(fma.f64 (fma.f64 (*.f64 eps eps) -1/2 1) (cos.f64 x) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (+.f64 eps x))

localize23.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1))
✓0.1b
(*.f64 eps (sin.f64 x))
✓2.0b
(-.f64 (-.f64 (*.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1)) (*.f64 eps (sin.f64 x))) (cos.f64 x))
Compiler

Compiled 63 to 26 computations (58.7% saved)

series11.0ms (0.1%)

Counts
3 → 52
Calls

18 calls:

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

rewrite98.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
720×fma-def_binary64
677×log-prod_binary64
419×fma-neg_binary64
254×pow1/3_binary64
253×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01345
128743
2387743
Stop Event
1×node limit
Counts
3 → 194
Calls
Call 1
Inputs
(-.f64 (-.f64 (*.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1)) (*.f64 eps (sin.f64 x))) (cos.f64 x))
(*.f64 eps (sin.f64 x))
(*.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1)) (neg.f64 (fma.f64 eps (sin.f64 x) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1)) (-.f64 (*.f64 eps (neg.f64 (sin.f64 x))) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1) (*.f64 eps (neg.f64 (sin.f64 x)))) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1) (*.f64 eps (neg.f64 (sin.f64 x)))) (*.f64 (neg.f64 (cos.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1) (*.f64 eps (neg.f64 (sin.f64 x)))) (-.f64 (fma.f64 eps (neg.f64 (sin.f64 x)) (*.f64 eps (sin.f64 x))) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1)) (fma.f64 eps (sin.f64 x) (cos.f64 x))) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1)) (fma.f64 eps (sin.f64 x) (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (cbrt.f64 (pow.f64 (cos.f64 x) 2)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1)) (fma.f64 eps (sin.f64 x) (cos.f64 x))) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (*.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1)) (fma.f64 eps (sin.f64 x) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 x)) (fma.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1) (*.f64 eps (neg.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1)) (fma.f64 eps (sin.f64 x) (cos.f64 x))))) (cbrt.f64 (exp.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (cos.f64 x)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps eps))) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (*.f64 eps eps) 1)) (cos.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (*.f64 eps eps) 1)) (cos.f64 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (*.f64 eps eps) 1)) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (*.f64 eps eps) 1)) (cos.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (*.f64 eps eps) 1)) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (*.f64 eps eps) 1)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps eps)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (*.f64 eps eps)) (cos.f64 x) (cos.f64 x))))))

simplify68.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
875×fma-neg_binary64
791×unswap-sqr_binary64
551×fma-def_binary64
298×distribute-rgt-neg-in_binary64
261×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
079999
1244983
2701877
32768808
45067808
Stop Event
1×node limit
Counts
246 → 229
Calls
Call 1
Inputs
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 (+.f64 1/2 (*.f64 -1/2 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1))) (pow.f64 x 2))))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 1/6 (*.f64 eps (pow.f64 x 3))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1))) (pow.f64 x 2)))))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)) (+.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)) (+.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)) (+.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)) (+.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)) (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)) (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)) (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)) (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(*.f64 eps x)
(+.f64 (*.f64 eps x) (*.f64 -1/6 (*.f64 eps (pow.f64 x 3))))
(+.f64 (*.f64 1/120 (*.f64 eps (pow.f64 x 5))) (+.f64 (*.f64 eps x) (*.f64 -1/6 (*.f64 eps (pow.f64 x 3)))))
(+.f64 (*.f64 1/120 (*.f64 eps (pow.f64 x 5))) (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1/5040 (*.f64 eps (pow.f64 x 7))) (*.f64 -1/6 (*.f64 eps (pow.f64 x 3))))))
(+.f64 1 (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (*.f64 -1/2 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))) (pow.f64 x 2))) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1))
(+.f64 (*.f64 -1/2 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))) (pow.f64 x 2))) (+.f64 (*.f64 1/24 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))) (pow.f64 x 4))) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)))
(+.f64 (*.f64 -1/2 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))) (pow.f64 x 2))) (+.f64 (*.f64 1/24 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))) (pow.f64 x 4))) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -1/720 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))) (pow.f64 x 6)))))))
(*.f64 (cos.f64 x) (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))))
(*.f64 (cos.f64 x) (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))))
(*.f64 (cos.f64 x) (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))))
(*.f64 (cos.f64 x) (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))))
(*.f64 (cos.f64 x) (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))))
(*.f64 (cos.f64 x) (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))))
(*.f64 (cos.f64 x) (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))))
(*.f64 (cos.f64 x) (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))))
(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
Outputs
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (*.f64 eps eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 -1 (*.f64 eps x) (*.f64 -1/2 (*.f64 eps eps)))
(-.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 eps x))
(*.f64 eps (-.f64 (*.f64 -1/2 eps) x))
(*.f64 eps (fma.f64 -1/2 eps (neg.f64 x)))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 (+.f64 1/2 (*.f64 -1/2 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1))) (pow.f64 x 2))))
(fma.f64 -1 (*.f64 eps x) (fma.f64 -1/2 (*.f64 eps eps) (*.f64 (+.f64 1/2 (*.f64 -1/2 (fma.f64 -1/2 (*.f64 eps eps) 1))) (*.f64 x x))))
(-.f64 (fma.f64 -1/2 (*.f64 eps eps) (*.f64 x (*.f64 x (+.f64 (*.f64 (*.f64 eps eps) 1/4) 0)))) (*.f64 eps x))
(fma.f64 x (*.f64 x (*.f64 (*.f64 eps eps) 1/4)) (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)))
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 x (-.f64 (*.f64 x (*.f64 eps (*.f64 eps 1/4))) eps)))
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 x (-.f64 (*.f64 x (*.f64 (*.f64 eps eps) 1/4)) eps)))
(+.f64 (*.f64 -1 (*.f64 eps x)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 1/6 (*.f64 eps (pow.f64 x 3))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1))) (pow.f64 x 2)))))
(fma.f64 -1 (*.f64 eps x) (fma.f64 -1/2 (*.f64 eps eps) (fma.f64 1/6 (*.f64 eps (pow.f64 x 3)) (*.f64 (+.f64 1/2 (*.f64 -1/2 (fma.f64 -1/2 (*.f64 eps eps) 1))) (*.f64 x x)))))
(-.f64 (fma.f64 -1/2 (*.f64 eps eps) (fma.f64 (+.f64 (*.f64 (*.f64 eps eps) 1/4) 0) (*.f64 x x) (*.f64 1/6 (*.f64 eps (pow.f64 x 3))))) (*.f64 eps x))
(+.f64 (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 eps eps) 1/4) (*.f64 x (*.f64 eps 1/6)))))
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 x (-.f64 (*.f64 x (*.f64 eps (+.f64 (*.f64 1/6 x) (*.f64 eps 1/4)))) eps)))
(fma.f64 (*.f64 x x) (*.f64 eps (+.f64 (*.f64 1/6 x) (*.f64 eps 1/4))) (*.f64 eps (-.f64 (*.f64 -1/2 eps) x)))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)) (+.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(-.f64 (*.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (cos.f64 x)) (fma.f64 eps (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 (*.f64 -1/2 (cos.f64 x)) eps) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 eps)) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)) (+.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(-.f64 (*.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (cos.f64 x)) (fma.f64 eps (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 (*.f64 -1/2 (cos.f64 x)) eps) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 eps)) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)) (+.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(-.f64 (*.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (cos.f64 x)) (fma.f64 eps (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 (*.f64 -1/2 (cos.f64 x)) eps) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 eps)) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)) (+.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(-.f64 (*.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (cos.f64 x)) (fma.f64 eps (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 (*.f64 -1/2 (cos.f64 x)) eps) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 eps)) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)) (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))))
(-.f64 (*.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (cos.f64 x)) (fma.f64 eps (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 (*.f64 -1/2 (cos.f64 x)) eps) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 eps)) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)) (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))))
(-.f64 (*.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (cos.f64 x)) (fma.f64 eps (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 (*.f64 -1/2 (cos.f64 x)) eps) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 eps)) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)) (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))))
(-.f64 (*.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (cos.f64 x)) (fma.f64 eps (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 (*.f64 -1/2 (cos.f64 x)) eps) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 eps)) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)) (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))))
(-.f64 (*.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (cos.f64 x)) (fma.f64 eps (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 (*.f64 -1/2 (cos.f64 x)) eps) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 eps)) (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 eps (neg.f64 (sin.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(-.f64 (*.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (cos.f64 x)) (fma.f64 eps (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 (*.f64 -1/2 (cos.f64 x)) eps) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 eps)) (sin.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(-.f64 (*.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (cos.f64 x)) (fma.f64 eps (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 (*.f64 -1/2 (cos.f64 x)) eps) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 eps)) (sin.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(-.f64 (*.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (cos.f64 x)) (fma.f64 eps (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 (*.f64 -1/2 (cos.f64 x)) eps) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 eps)) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x)))
(*.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x))))
(*.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x)))
(*.f64 (*.f64 (*.f64 -1/2 (cos.f64 x)) eps) eps)
(*.f64 eps (*.f64 eps (*.f64 -1/2 (cos.f64 x))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(-.f64 (*.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (cos.f64 x)) (fma.f64 eps (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 (*.f64 -1/2 (cos.f64 x)) eps) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 eps)) (sin.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(-.f64 (*.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (cos.f64 x)) (fma.f64 eps (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 (*.f64 -1/2 (cos.f64 x)) eps) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 eps)) (sin.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(-.f64 (*.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (cos.f64 x)) (fma.f64 eps (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 (*.f64 -1/2 (cos.f64 x)) eps) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 eps)) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x)))
(*.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x))))
(*.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x)))
(*.f64 (*.f64 (*.f64 -1/2 (cos.f64 x)) eps) eps)
(*.f64 eps (*.f64 eps (*.f64 -1/2 (cos.f64 x))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(-.f64 (*.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (cos.f64 x)) (fma.f64 eps (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 (*.f64 -1/2 (cos.f64 x)) eps) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 eps)) (sin.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(-.f64 (*.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (cos.f64 x)) (fma.f64 eps (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 (*.f64 -1/2 (cos.f64 x)) eps) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 eps)) (sin.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(-.f64 (*.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (cos.f64 x)) (fma.f64 eps (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 (*.f64 -1/2 (cos.f64 x)) eps) (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 eps)) (sin.f64 x)))
(*.f64 eps x)
(+.f64 (*.f64 eps x) (*.f64 -1/6 (*.f64 eps (pow.f64 x 3))))
(fma.f64 eps x (*.f64 (*.f64 eps (pow.f64 x 3)) -1/6))
(fma.f64 eps x (*.f64 eps (*.f64 (pow.f64 x 3) -1/6)))
(*.f64 eps (+.f64 x (*.f64 (pow.f64 x 3) -1/6)))
(+.f64 (*.f64 1/120 (*.f64 eps (pow.f64 x 5))) (+.f64 (*.f64 eps x) (*.f64 -1/6 (*.f64 eps (pow.f64 x 3)))))
(fma.f64 1/120 (*.f64 eps (pow.f64 x 5)) (fma.f64 eps x (*.f64 (*.f64 eps (pow.f64 x 3)) -1/6)))
(fma.f64 1/120 (*.f64 eps (pow.f64 x 5)) (fma.f64 eps x (*.f64 eps (*.f64 (pow.f64 x 3) -1/6))))
(fma.f64 eps x (*.f64 eps (+.f64 (*.f64 (pow.f64 x 3) -1/6) (*.f64 1/120 (pow.f64 x 5)))))
(*.f64 eps (+.f64 (*.f64 (pow.f64 x 3) -1/6) (+.f64 x (*.f64 1/120 (pow.f64 x 5)))))
(+.f64 (*.f64 1/120 (*.f64 eps (pow.f64 x 5))) (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1/5040 (*.f64 eps (pow.f64 x 7))) (*.f64 -1/6 (*.f64 eps (pow.f64 x 3))))))
(fma.f64 1/120 (*.f64 eps (pow.f64 x 5)) (fma.f64 eps x (fma.f64 -1/5040 (*.f64 eps (pow.f64 x 7)) (*.f64 (*.f64 eps (pow.f64 x 3)) -1/6))))
(fma.f64 1/120 (*.f64 eps (pow.f64 x 5)) (fma.f64 eps x (fma.f64 (*.f64 eps (pow.f64 x 3)) -1/6 (*.f64 -1/5040 (*.f64 eps (pow.f64 x 7))))))
(fma.f64 eps (*.f64 1/120 (pow.f64 x 5)) (fma.f64 eps (*.f64 (pow.f64 x 3) -1/6) (*.f64 eps (+.f64 x (*.f64 -1/5040 (pow.f64 x 7))))))
(*.f64 eps (+.f64 (+.f64 (*.f64 -1/5040 (pow.f64 x 7)) (*.f64 (pow.f64 x 3) -1/6)) (+.f64 x (*.f64 1/120 (pow.f64 x 5)))))
(+.f64 1 (*.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 -1/2 (*.f64 eps eps) 1)
(+.f64 (*.f64 -1/2 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))) (pow.f64 x 2))) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1))
(fma.f64 -1/2 (*.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (*.f64 x x)) (fma.f64 -1/2 (*.f64 eps eps) 1))
(fma.f64 (+.f64 -1/2 (*.f64 (*.f64 eps eps) 1/4)) (*.f64 x x) (fma.f64 -1/2 (*.f64 eps eps) 1))
(*.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) 1) (fma.f64 -1/2 (*.f64 eps eps) 1))
(*.f64 (+.f64 1 (*.f64 (*.f64 -1/2 x) x)) (fma.f64 -1/2 (*.f64 eps eps) 1))
(*.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (fma.f64 -1/2 (*.f64 eps eps) 1))
(+.f64 (*.f64 -1/2 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))) (pow.f64 x 2))) (+.f64 (*.f64 1/24 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))) (pow.f64 x 4))) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 1)))
(fma.f64 -1/2 (*.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (*.f64 x x)) (fma.f64 1/24 (*.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (pow.f64 x 4)) (fma.f64 -1/2 (*.f64 eps eps) 1)))
(fma.f64 (+.f64 -1/2 (*.f64 (*.f64 eps eps) 1/4)) (*.f64 x x) (fma.f64 (*.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 1/24) (pow.f64 x 4) (fma.f64 -1/2 (*.f64 eps eps) 1)))
(fma.f64 (fma.f64 (*.f64 eps eps) 1/4 -1/2) (*.f64 x x) (*.f64 (+.f64 (*.f64 1/24 (pow.f64 x 4)) 1) (fma.f64 -1/2 (*.f64 eps eps) 1)))
(*.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (+.f64 (*.f64 (*.f64 -1/2 x) x) (+.f64 1 (*.f64 1/24 (pow.f64 x 4)))))
(*.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (+.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 4)))))
(+.f64 (*.f64 -1/2 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))) (pow.f64 x 2))) (+.f64 (*.f64 1/24 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))) (pow.f64 x 4))) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 1 (*.f64 -1/720 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))) (pow.f64 x 6)))))))
(fma.f64 -1/2 (*.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (*.f64 x x)) (fma.f64 1/24 (*.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (pow.f64 x 4)) (+.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (*.f64 -1/720 (*.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (pow.f64 x 6))))))
(fma.f64 (+.f64 -1/2 (*.f64 (*.f64 eps eps) 1/4)) (*.f64 x x) (fma.f64 1/24 (*.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (pow.f64 x 4)) (fma.f64 -1/2 (*.f64 eps eps) (fma.f64 -1/720 (*.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (pow.f64 x 6)) 1))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/720 (pow.f64 x 6)) 1) (fma.f64 -1/2 (*.f64 eps eps) 1)) (*.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (+.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 1/24 (pow.f64 x 4)))))
(fma.f64 (fma.f64 (*.f64 eps eps) 1/4 -1/2) (*.f64 x x) (*.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (+.f64 (+.f64 1 (*.f64 1/24 (pow.f64 x 4))) (*.f64 -1/720 (pow.f64 x 6)))))
(*.f64 (cos.f64 x) (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))))
(*.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))))
(*.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))))
(*.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))))
(*.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))))
(*.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))))
(*.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))))
(*.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (cos.f64 x))
(*.f64 (cos.f64 x) (+.f64 1 (*.f64 -1/2 (pow.f64 eps 2))))
(*.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (cos.f64 x))
(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(*.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(*.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(*.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (cos.f64 x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x)))
(*.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x))))
(*.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x)))
(*.f64 (*.f64 (*.f64 -1/2 (cos.f64 x)) eps) eps)
(*.f64 eps (*.f64 eps (*.f64 -1/2 (cos.f64 x))))
(+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(*.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(*.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(*.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (cos.f64 x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x)))
(*.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x))))
(*.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x)))
(*.f64 (*.f64 (*.f64 -1/2 (cos.f64 x)) eps) eps)
(*.f64 eps (*.f64 eps (*.f64 -1/2 (cos.f64 x))))
(+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(*.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(*.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))))
(*.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (cos.f64 x))

localize18.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))
✓0.2b
(*.f64 (sin.f64 x) (sin.f64 eps))
✓2.3b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
Compiler

Compiled 54 to 11 computations (79.6% saved)

series11.0ms (0.1%)

Counts
3 → 56
Calls

18 calls:

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

rewrite84.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
552×log-prod_binary64
356×pow-prod-down_binary64
308×fma-def_binary64
302×pow2_binary64
209×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01248
125938
2371338
Stop Event
1×node limit
Counts
3 → 183
Calls
Call 1
Inputs
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
(*.f64 (sin.f64 x) (sin.f64 eps))
(-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))
Outputs
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(sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) (sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (cbrt.f64 (sin.f64 eps)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sin.f64 eps)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sin.f64 eps) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))))))

simplify80.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
570×fma-def_binary64
452×*-commutative_binary64
448×associate-+l+_binary64
438×distribute-rgt-neg-in_binary64
386×fma-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0931094
1274993
2781928
32710916
45965916
Stop Event
1×node limit
Counts
239 → 231
Calls
Call 1
Inputs
(-.f64 (cos.f64 eps) 1)
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))))) 1)
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(*.f64 (sin.f64 eps) x)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (*.f64 (sin.f64 eps) x))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 x 5) (sin.f64 eps))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (*.f64 (sin.f64 eps) x)))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 x 5) (sin.f64 eps))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 x 7) (sin.f64 eps))) (*.f64 (sin.f64 eps) x))))
(*.f64 eps (sin.f64 x))
(+.f64 (*.f64 eps (sin.f64 x)) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))))
(+.f64 (*.f64 eps (sin.f64 x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 5) (sin.f64 x))) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)))))
(+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 eps 7) (sin.f64 x))) (+.f64 (*.f64 eps (sin.f64 x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 5) (sin.f64 x))) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))))))
1
(+.f64 1 (*.f64 (sin.f64 eps) x))
(+.f64 1 (+.f64 (*.f64 (sin.f64 eps) x) (*.f64 -1/2 (pow.f64 x 2))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 1 (+.f64 (*.f64 (sin.f64 eps) x) (*.f64 -1/2 (pow.f64 x 2)))))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))
(cos.f64 x)
(+.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))
(+.f64 (*.f64 eps (sin.f64 x)) (+.f64 (cos.f64 x) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)))))
(+.f64 (*.f64 eps (sin.f64 x)) (+.f64 (cos.f64 x) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 5) (sin.f64 x))) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))))))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))
Outputs
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
(+.f64 (cos.f64 eps) (-.f64 (neg.f64 (*.f64 x (sin.f64 eps))) 1))
(+.f64 (cos.f64 eps) (fma.f64 (neg.f64 x) (sin.f64 eps) -1))
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) 1))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1)
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 -1 (*.f64 x (sin.f64 eps)) (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (*.f64 x x))) 1))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 (fma.f64 (cos.f64 eps) -1/2 1/2) (*.f64 x x)) (fma.f64 (neg.f64 x) (sin.f64 eps) -1)))
(+.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (-.f64 (*.f64 x (fma.f64 (cos.f64 eps) -1/2 1/2)) (sin.f64 eps))))
(+.f64 (cos.f64 eps) (fma.f64 x (-.f64 (*.f64 x (fma.f64 (cos.f64 eps) -1/2 1/2)) (sin.f64 eps)) -1))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))))) 1)
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (fma.f64 -1 (*.f64 x (sin.f64 eps)) (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (*.f64 x x)))) 1))
(+.f64 (cos.f64 eps) (+.f64 (+.f64 (*.f64 (fma.f64 (cos.f64 eps) -1/2 1/2) (*.f64 x x)) (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x)))) -1))
(+.f64 (cos.f64 eps) (fma.f64 (sin.f64 eps) (fma.f64 1/6 (pow.f64 x 3) (neg.f64 x)) (fma.f64 (fma.f64 (cos.f64 eps) -1/2 1/2) (*.f64 x x) -1)))
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 (fma.f64 (cos.f64 eps) -1/2 1/2) (*.f64 x x) -1) (*.f64 (sin.f64 eps) (fma.f64 (pow.f64 x 3) -1/6 x))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 (sin.f64 x) (neg.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (neg.f64 (*.f64 eps (sin.f64 x))))
(-.f64 (*.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps))) (*.f64 eps (sin.f64 x)))
(-.f64 (*.f64 eps (*.f64 eps (*.f64 -1/2 (cos.f64 x)))) (*.f64 eps (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))))
(fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (neg.f64 (*.f64 eps (sin.f64 x)))))
(-.f64 (fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)))) (*.f64 eps (sin.f64 x)))
(fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps))))
(fma.f64 (cos.f64 x) (*.f64 eps (*.f64 eps -1/2)) (neg.f64 (*.f64 (sin.f64 x) (fma.f64 (pow.f64 eps 3) -1/6 eps))))
(fma.f64 (cos.f64 x) (*.f64 eps (*.f64 eps -1/2)) (*.f64 (sin.f64 x) (neg.f64 (fma.f64 (pow.f64 eps 3) -1/6 eps))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))))
(fma.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)) (fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (neg.f64 (*.f64 eps (sin.f64 x))))))
(fma.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)) (-.f64 (fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)))) (*.f64 eps (sin.f64 x))))
(fma.f64 (cos.f64 x) (*.f64 1/24 (pow.f64 eps 4)) (fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/6 (pow.f64 eps 3)) (neg.f64 eps)))))
(-.f64 (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (+.f64 -1/2 (*.f64 eps (*.f64 eps 1/24)))) (*.f64 (sin.f64 x) (fma.f64 (pow.f64 eps 3) -1/6 eps)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(*.f64 (sin.f64 eps) x)
(*.f64 x (sin.f64 eps))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (*.f64 (sin.f64 eps) x))
(fma.f64 -1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (*.f64 x (sin.f64 eps)))
(*.f64 (sin.f64 eps) (+.f64 x (*.f64 (pow.f64 x 3) -1/6)))
(*.f64 (sin.f64 eps) (fma.f64 (pow.f64 x 3) -1/6 x))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 x 5) (sin.f64 eps))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (*.f64 (sin.f64 eps) x)))
(fma.f64 1/120 (*.f64 (sin.f64 eps) (pow.f64 x 5)) (fma.f64 -1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (*.f64 x (sin.f64 eps))))
(fma.f64 1/120 (*.f64 (sin.f64 eps) (pow.f64 x 5)) (*.f64 (sin.f64 eps) (+.f64 x (*.f64 (pow.f64 x 3) -1/6))))
(*.f64 (sin.f64 eps) (+.f64 (fma.f64 (pow.f64 x 3) -1/6 x) (*.f64 1/120 (pow.f64 x 5))))
(*.f64 (sin.f64 eps) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (fma.f64 (pow.f64 x 3) -1/6 x)))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 x 5) (sin.f64 eps))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 x 7) (sin.f64 eps))) (*.f64 (sin.f64 eps) x))))
(fma.f64 1/120 (*.f64 (sin.f64 eps) (pow.f64 x 5)) (fma.f64 -1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (fma.f64 -1/5040 (*.f64 (sin.f64 eps) (pow.f64 x 7)) (*.f64 x (sin.f64 eps)))))
(+.f64 (*.f64 (sin.f64 eps) (+.f64 x (*.f64 -1/5040 (pow.f64 x 7)))) (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 (pow.f64 x 3) -1/6))))
(*.f64 (sin.f64 eps) (+.f64 (fma.f64 -1/5040 (pow.f64 x 7) x) (fma.f64 1/120 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/6))))
(*.f64 eps (sin.f64 x))
(+.f64 (*.f64 eps (sin.f64 x)) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))))
(fma.f64 eps (sin.f64 x) (*.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3)) -1/6))
(*.f64 (sin.f64 x) (+.f64 eps (*.f64 (pow.f64 eps 3) -1/6)))
(*.f64 (sin.f64 x) (fma.f64 (pow.f64 eps 3) -1/6 eps))
(+.f64 (*.f64 eps (sin.f64 x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 5) (sin.f64 x))) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)))))
(fma.f64 eps (sin.f64 x) (fma.f64 1/120 (*.f64 (sin.f64 x) (pow.f64 eps 5)) (*.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3)) -1/6)))
(fma.f64 eps (sin.f64 x) (*.f64 (sin.f64 x) (+.f64 (*.f64 (pow.f64 eps 3) -1/6) (*.f64 1/120 (pow.f64 eps 5)))))
(*.f64 (sin.f64 x) (+.f64 (*.f64 1/120 (pow.f64 eps 5)) (fma.f64 (pow.f64 eps 3) -1/6 eps)))
(+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 eps 7) (sin.f64 x))) (+.f64 (*.f64 eps (sin.f64 x)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 5) (sin.f64 x))) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))))))
(fma.f64 -1/5040 (*.f64 (sin.f64 x) (pow.f64 eps 7)) (fma.f64 eps (sin.f64 x) (fma.f64 1/120 (*.f64 (sin.f64 x) (pow.f64 eps 5)) (*.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3)) -1/6))))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 (pow.f64 eps 3) -1/6) (*.f64 1/120 (pow.f64 eps 5)))) (*.f64 (sin.f64 x) (+.f64 (*.f64 -1/5040 (pow.f64 eps 7)) eps)))
(*.f64 (sin.f64 x) (+.f64 (fma.f64 (pow.f64 eps 3) -1/6 (*.f64 1/120 (pow.f64 eps 5))) (fma.f64 -1/5040 (pow.f64 eps 7) eps)))
1
(+.f64 1 (*.f64 (sin.f64 eps) x))
(+.f64 1 (*.f64 x (sin.f64 eps)))
(fma.f64 x (sin.f64 eps) 1)
(+.f64 1 (+.f64 (*.f64 (sin.f64 eps) x) (*.f64 -1/2 (pow.f64 x 2))))
(+.f64 1 (fma.f64 (sin.f64 eps) x (*.f64 -1/2 (*.f64 x x))))
(+.f64 1 (fma.f64 x (sin.f64 eps) (*.f64 x (*.f64 x -1/2))))
(fma.f64 x (sin.f64 eps) (fma.f64 x (*.f64 x -1/2) 1))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 1 (+.f64 (*.f64 (sin.f64 eps) x) (*.f64 -1/2 (pow.f64 x 2)))))
(fma.f64 -1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (+.f64 1 (fma.f64 (sin.f64 eps) x (*.f64 -1/2 (*.f64 x x)))))
(+.f64 (fma.f64 x (sin.f64 eps) (*.f64 x (*.f64 x -1/2))) (fma.f64 (*.f64 (sin.f64 eps) (pow.f64 x 3)) -1/6 1))
(+.f64 (*.f64 (sin.f64 eps) (fma.f64 (pow.f64 x 3) -1/6 x)) (fma.f64 x (*.f64 x -1/2) 1))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))
(cos.f64 x)
(+.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x))
(fma.f64 eps (sin.f64 x) (cos.f64 x))
(+.f64 (*.f64 eps (sin.f64 x)) (+.f64 (cos.f64 x) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x)))))
(+.f64 (fma.f64 eps (sin.f64 x) (cos.f64 x)) (*.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3)) -1/6))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 eps (*.f64 (pow.f64 eps 3) -1/6))))
(fma.f64 (sin.f64 x) (fma.f64 (pow.f64 eps 3) -1/6 eps) (cos.f64 x))
(+.f64 (*.f64 eps (sin.f64 x)) (+.f64 (cos.f64 x) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 5) (sin.f64 x))) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))))))
(+.f64 (fma.f64 eps (sin.f64 x) (cos.f64 x)) (fma.f64 1/120 (*.f64 (sin.f64 x) (pow.f64 eps 5)) (*.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3)) -1/6)))
(+.f64 (cos.f64 x) (fma.f64 eps (sin.f64 x) (*.f64 (sin.f64 x) (+.f64 (*.f64 (pow.f64 eps 3) -1/6) (*.f64 1/120 (pow.f64 eps 5))))))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/120 (pow.f64 eps 5)) (fma.f64 (pow.f64 eps 3) -1/6 eps))))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))

eval438.0ms (2.3%)

Compiler

Compiled 23351 to 9368 computations (59.9% saved)

prune282.0ms (1.5%)

Pruning

79 alts after pruning (77 fresh and 2 done)

PrunedKeptTotal
New1006651071
Fresh251237
Picked101
Done325
Total1035791114
Error
0.1b
Counts
1114 → 79
Alt Table
Click to see full alt table
StatusErrorProgram
26.3b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 3))))
28.9b
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (sin.f64 (*.f64 1/2 eps))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))) -2)
26.1b
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
42.6b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 (*.f64 eps eps) eps) 1/2))) -2)
38.7b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))
39.2b
(-.f64 (pow.f64 (+.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) 1)) 1) (cos.f64 x))
50.5b
(-.f64 (pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 2) (cos.f64 x))
43.6b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (/.f64 eps (*.f64 eps eps))) 1/2))) -2)
50.0b
(expm1.f64 (log.f64 (cos.f64 eps)))
46.4b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 eps))) 2)) -2)
39.7b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 1))
33.8b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (pow.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) 2)))
51.3b
(*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps 1/24) -1/2)))
40.3b
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) 1))
51.1b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (pow.f64 (sqrt.f64 eps) 2) 1/2))) -2)
51.8b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (/.f64 (*.f64 eps eps) (pow.f64 eps 3))) 1/2))) -2)
39.5b
(*.f64 (/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps)))))) -2)
31.6b
(-.f64 (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (+.f64 -1/2 (*.f64 eps (*.f64 eps 1/24)))) (*.f64 (sin.f64 x) (fma.f64 (pow.f64 eps 3) -1/6 eps)))
26.1b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))))
26.3b
(log.f64 (/.f64 (exp.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (exp.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))
46.4b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (pow.f64 (cbrt.f64 eps) 3) 1/2))) -2)
▶39.5b
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
▶13.4b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (+.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x eps) 1/2)) (cos.f64 (*.f64 x 1/2))) (*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (sin.f64 (*.f64 x 1/2))))) -2)
26.1b
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
33.7b
(-.f64 (fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (cos.f64 x))
49.8b
(-.f64 (exp.f64 (log.f64 (cos.f64 eps))) (cos.f64 x))
46.7b
(*.f64 (exp.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 1/2 eps))))) -2)
39.2b
(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
✓39.4b
(-.f64 (cos.f64 eps) 1)
40.6b
(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
35.0b
(+.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (-.f64 (*.f64 x (fma.f64 (cos.f64 eps) -1/2 1/2)) (sin.f64 eps))))
39.2b
(log.f64 (/.f64 (exp.f64 (cos.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 (cos.f64 x)))))
39.5b
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
33.2b
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)
43.9b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (fma.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (/.f64 1 (-.f64 x eps)) (neg.f64 x)) 1/2))) -2)
26.1b
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
▶39.3b
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 x eps)))) (exp.f64 (cos.f64 x))))
26.1b
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (cos.f64 x))
31.4b
(*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))
38.9b
(-.f64 (cos.f64 eps) (cos.f64 x))
49.2b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (expm1.f64 (log1p.f64 eps)) 1/2))) -2)
33.2b
(*.f64 (expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) -2)
56.2b
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
45.7b
(*.f64 eps (fma.f64 -1/2 eps (neg.f64 x)))
31.0b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (+.f64 (*.f64 1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))) -2)
36.7b
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3)) -2)
36.8b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 x)) -2)
▶39.5b
(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
37.9b
(*.f64 (sin.f64 x) (neg.f64 eps))
43.1b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) 2) (neg.f64 (cos.f64 x)))))
39.6b
(*.f64 (log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))) -2)
45.7b
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
49.3b
(expm1.f64 (log1p.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
26.6b
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
39.1b
(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
26.2b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) 3) (neg.f64 (cos.f64 x)))))
40.3b
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
39.7b
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
48.9b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (cbrt.f64 (pow.f64 eps 3)) 1/2))) -2)
43.8b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (*.f64 (*.f64 eps eps) (/.f64 1 eps)) 1/2))) -2)
52.7b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 (pow.f64 eps 3) (*.f64 eps eps)) 1/2))) -2)
33.9b
(fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
✓39.1b
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
26.6b
(-.f64 (fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (cos.f64 x))
39.5b
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) 2) 3) (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
▶51.1b
(*.f64 -1/2 (*.f64 eps eps))
26.8b
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
26.1b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3)) (neg.f64 (cos.f64 x)))))
39.1b
(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
33.9b
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) 3) -2)
15.2b
(*.f64 (pow.f64 (cbrt.f64 -2) 3) (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))
51.0b
(*.f64 eps (*.f64 eps (*.f64 -1/2 (cos.f64 x))))
39.1b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (log.f64 (exp.f64 (sin.f64 (*.f64 1/2 eps))))) -2)
39.3b
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
39.1b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 1/2 eps)))) 1)) -2)
13.7b
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))) -2)
31.6b
(fma.f64 (cos.f64 x) (*.f64 eps (*.f64 eps -1/2)) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))
41.6b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x eps) 3)) (fma.f64 x x (*.f64 (+.f64 x eps) eps))) 1/2))) -2)
39.5b
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
Compiler

Compiled 2553 to 1855 computations (27.3% saved)

localize68.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (sin.f64 (*.f64 x 1/2)))
✓0.3b
(*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (+.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x eps) 1/2)) (cos.f64 (*.f64 x 1/2))) (*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (sin.f64 (*.f64 x 1/2)))))
✓3.2b
(sin.f64 (*.f64 (+.f64 x eps) 1/2))
✓3.4b
(cos.f64 (*.f64 (+.f64 x eps) 1/2))
Compiler

Compiled 171 to 97 computations (43.3% saved)

series20.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
4.0ms
x
@inf
(*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (+.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x eps) 1/2)) (cos.f64 (*.f64 x 1/2))) (*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (sin.f64 (*.f64 x 1/2)))))
2.0ms
eps
@inf
(*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (+.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x eps) 1/2)) (cos.f64 (*.f64 x 1/2))) (*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (sin.f64 (*.f64 x 1/2)))))
2.0ms
eps
@0
(*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (+.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x eps) 1/2)) (cos.f64 (*.f64 x 1/2))) (*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (sin.f64 (*.f64 x 1/2)))))
1.0ms
eps
@-inf
(*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (+.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x eps) 1/2)) (cos.f64 (*.f64 x 1/2))) (*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (sin.f64 (*.f64 x 1/2)))))
1.0ms
x
@-inf
(*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (+.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x eps) 1/2)) (cos.f64 (*.f64 x 1/2))) (*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (sin.f64 (*.f64 x 1/2)))))

rewrite90.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
476×fma-neg_binary64
343×expm1-udef_binary64
343×log1p-udef_binary64
223×add-sqr-sqrt_binary64
220×pow1_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01980
143355
2624755
Stop Event
1×node limit
Counts
4 → 97
Calls
Call 1
Inputs
(cos.f64 (*.f64 (+.f64 x eps) 1/2))
(sin.f64 (*.f64 (+.f64 x eps) 1/2))
(*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (+.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x eps) 1/2)) (cos.f64 (*.f64 x 1/2))) (*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (sin.f64 (*.f64 x 1/2)))))
(*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (sin.f64 (*.f64 x 1/2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (*.f64 (+.f64 x eps) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) 2)) (cbrt.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2))) (sqrt.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 (+.f64 x eps) 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 (+.f64 x eps) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (*.f64 (+.f64 x eps) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 (*.f64 (+.f64 x eps) 1/2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (+.f64 x eps) 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (+.f64 x eps) 1/2))) 2) (cbrt.f64 (sin.f64 (*.f64 (+.f64 x eps) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (*.f64 (+.f64 x eps) 1/2))) (sqrt.f64 (sin.f64 (*.f64 (+.f64 x eps) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (*.f64 (+.f64 x eps) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 (+.f64 x eps) 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (*.f64 (+.f64 x eps) 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (*.f64 (+.f64 x eps) 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (*.f64 (+.f64 x eps) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 (*.f64 (+.f64 x eps) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 (+.f64 x eps) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (*.f64 (+.f64 x eps) 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 (*.f64 (+.f64 x eps) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 (*.f64 (+.f64 x eps) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 (*.f64 (+.f64 x eps) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 (+.f64 x eps) 1/2))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x eps) x)))) (fma.f64 (neg.f64 (*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (sin.f64 (*.f64 x 1/2)))) (*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (sin.f64 (*.f64 x 1/2))) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (sin.f64 (*.f64 x 1/2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x eps) 1/2)) (cos.f64 (*.f64 x 1/2))) 2) (neg.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (sin.f64 (*.f64 x 1/2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x eps) 1/2)) (cos.f64 (*.f64 x 1/2))) 2) (*.f64 (neg.f64 (*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (sin.f64 (*.f64 x 1/2)))) (*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (sin.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 (+.f64 x eps) 1/2))) 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simplify137.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
758×neg-mul-1_binary64
522×distribute-rgt-neg-out_binary64
447×distribute-lft-neg-out_binary64
394×+-commutative_binary64
382×unsub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01582398
14932377
215792226
333802193
478632193
Stop Event
1×node limit
Counts
193 → 169
Calls
Call 1
Inputs
(cos.f64 (*.f64 1/2 eps))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) x)))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 -1/8 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 2))) (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) x))))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 -1/8 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 2))) (+.f64 (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) x)) (*.f64 1/48 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 3))))))
(cos.f64 (*.f64 1/2 (+.f64 eps x)))
(cos.f64 (*.f64 1/2 (+.f64 eps x)))
(cos.f64 (*.f64 1/2 (+.f64 eps x)))
(cos.f64 (*.f64 1/2 (+.f64 eps x)))
(cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -1 x))))
(cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -1 x))))
(cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -1 x))))
(cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -1 x))))
(cos.f64 (*.f64 1/2 x))
(+.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 -1/2 (*.f64 eps (sin.f64 (*.f64 1/2 x)))))
(+.f64 (cos.f64 (*.f64 1/2 x)) (+.f64 (*.f64 -1/2 (*.f64 eps (sin.f64 (*.f64 1/2 x)))) (*.f64 -1/8 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 eps 2)))))
(+.f64 (cos.f64 (*.f64 1/2 x)) (+.f64 (*.f64 1/48 (*.f64 (pow.f64 eps 3) (sin.f64 (*.f64 1/2 x)))) (+.f64 (*.f64 -1/2 (*.f64 eps (sin.f64 (*.f64 1/2 x)))) (*.f64 -1/8 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 eps 2))))))
(cos.f64 (*.f64 1/2 (+.f64 eps x)))
(cos.f64 (*.f64 1/2 (+.f64 eps x)))
(cos.f64 (*.f64 1/2 (+.f64 eps x)))
(cos.f64 (*.f64 1/2 (+.f64 eps x)))
(cos.f64 (*.f64 1/2 (-.f64 x (*.f64 -1 eps))))
(cos.f64 (*.f64 1/2 (-.f64 x (*.f64 -1 eps))))
(cos.f64 (*.f64 1/2 (-.f64 x (*.f64 -1 eps))))
(cos.f64 (*.f64 1/2 (-.f64 x (*.f64 -1 eps))))
(sin.f64 (*.f64 1/2 eps))
(+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) x)))
(+.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 -1/8 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 2))) (*.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) x))))
(+.f64 (*.f64 -1/48 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3))) (+.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 -1/8 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 2))) (*.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) x)))))
(sin.f64 (*.f64 1/2 (+.f64 eps x)))
(sin.f64 (*.f64 1/2 (+.f64 eps x)))
(sin.f64 (*.f64 1/2 (+.f64 eps x)))
(sin.f64 (*.f64 1/2 (+.f64 eps x)))
(sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -1 x))))
(sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -1 x))))
(sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -1 x))))
(sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -1 x))))
(sin.f64 (*.f64 1/2 x))
(+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 x)) eps)) (sin.f64 (*.f64 1/2 x)))
(+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 x)) eps)) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 eps 2) (sin.f64 (*.f64 1/2 x)))) (sin.f64 (*.f64 1/2 x))))
(+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 x)) eps)) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 eps 2) (sin.f64 (*.f64 1/2 x)))) (+.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 -1/48 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 eps 3))))))
(sin.f64 (*.f64 1/2 (+.f64 eps x)))
(sin.f64 (*.f64 1/2 (+.f64 eps x)))
(sin.f64 (*.f64 1/2 (+.f64 eps x)))
(sin.f64 (*.f64 1/2 (+.f64 eps x)))
(sin.f64 (*.f64 1/2 (-.f64 x (*.f64 -1 eps))))
(sin.f64 (*.f64 1/2 (-.f64 x (*.f64 -1 eps))))
(sin.f64 (*.f64 1/2 (-.f64 x (*.f64 -1 eps))))
(sin.f64 (*.f64 1/2 (-.f64 x (*.f64 -1 eps))))
(*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 eps (sin.f64 (*.f64 1/2 x))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) (*.f64 1/2 (pow.f64 (cos.f64 (*.f64 1/2 x)) 2))))) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 eps (sin.f64 (*.f64 1/2 x)))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) (*.f64 1/2 (pow.f64 (cos.f64 (*.f64 1/2 x)) 2))))) (+.f64 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/24 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) (*.f64 -1/8 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))))) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 eps (sin.f64 (*.f64 1/2 x))))))
(+.f64 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 1/2 (+.f64 (*.f64 -1/48 (pow.f64 (cos.f64 (*.f64 1/2 x)) 2)) (*.f64 1/48 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)))) (*.f64 -1/48 (+.f64 (*.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) (*.f64 1/2 (pow.f64 (cos.f64 (*.f64 1/2 x)) 2)))))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) (*.f64 1/2 (pow.f64 (cos.f64 (*.f64 1/2 x)) 2))))) (+.f64 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/24 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) (*.f64 -1/8 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))))) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 eps (sin.f64 (*.f64 1/2 x)))))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 (+.f64 eps x)))) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps x))) (sin.f64 (*.f64 1/2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 (+.f64 eps x)))) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps x))) (sin.f64 (*.f64 1/2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 (+.f64 eps x)))) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps x))) (sin.f64 (*.f64 1/2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 (+.f64 eps x)))) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps x))) (sin.f64 (*.f64 1/2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 (-.f64 x (*.f64 -1 eps))))) (*.f64 (cos.f64 (*.f64 1/2 (-.f64 x (*.f64 -1 eps)))) (sin.f64 (*.f64 1/2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 (-.f64 x (*.f64 -1 eps))))) (*.f64 (cos.f64 (*.f64 1/2 (-.f64 x (*.f64 -1 eps)))) (sin.f64 (*.f64 1/2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 (-.f64 x (*.f64 -1 eps))))) (*.f64 (cos.f64 (*.f64 1/2 (-.f64 x (*.f64 -1 eps)))) (sin.f64 (*.f64 1/2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 (-.f64 x (*.f64 -1 eps))))) (*.f64 (cos.f64 (*.f64 1/2 (-.f64 x (*.f64 -1 eps)))) (sin.f64 (*.f64 1/2 x)))))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 -1/2 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 2)))))
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (+.f64 (*.f64 -1/24 (cos.f64 (*.f64 1/2 eps))) (*.f64 -1/8 (cos.f64 (*.f64 1/2 eps)))) (pow.f64 x 3))) (*.f64 -1/2 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 2))))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 (+.f64 eps x)))) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps x))) (sin.f64 (*.f64 1/2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 (+.f64 eps x)))) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps x))) (sin.f64 (*.f64 1/2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 (+.f64 eps x)))) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps x))) (sin.f64 (*.f64 1/2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 (+.f64 eps x)))) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps x))) (sin.f64 (*.f64 1/2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -1 x))))) (*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -1 x)))) (sin.f64 (*.f64 1/2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -1 x))))) (*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -1 x)))) (sin.f64 (*.f64 1/2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -1 x))))) (*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -1 x)))) (sin.f64 (*.f64 1/2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -1 x))))) (*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -1 x)))) (sin.f64 (*.f64 1/2 x)))))
(*.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) x))
(+.f64 (*.f64 -1/4 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 2))) (*.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) x)))
(+.f64 (*.f64 -1/4 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 2))) (+.f64 (*.f64 (+.f64 (*.f64 -1/48 (cos.f64 (*.f64 1/2 eps))) (*.f64 -1/16 (cos.f64 (*.f64 1/2 eps)))) (pow.f64 x 3)) (*.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) x))))
(+.f64 (*.f64 -1/4 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 2))) (+.f64 (*.f64 1/48 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 4))) (+.f64 (*.f64 (+.f64 (*.f64 -1/48 (cos.f64 (*.f64 1/2 eps))) (*.f64 -1/16 (cos.f64 (*.f64 1/2 eps)))) (pow.f64 x 3)) (*.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) x)))))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps x))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps x))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps x))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps x))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -1 x)))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -1 x)))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -1 x)))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -1 x)))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))
(+.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))) (*.f64 -1/2 (*.f64 eps (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))))
(+.f64 (*.f64 -1/8 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (pow.f64 eps 2) (sin.f64 (*.f64 1/2 x))))) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))) (*.f64 -1/2 (*.f64 eps (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)))))
(+.f64 (*.f64 1/48 (*.f64 (pow.f64 eps 3) (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))) (+.f64 (*.f64 -1/8 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (pow.f64 eps 2) (sin.f64 (*.f64 1/2 x))))) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))) (*.f64 -1/2 (*.f64 eps (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))))))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps x))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps x))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps x))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps x))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 x (*.f64 -1 eps)))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 x (*.f64 -1 eps)))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 x (*.f64 -1 eps)))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 x (*.f64 -1 eps)))) (sin.f64 (*.f64 1/2 x)))
Outputs
(cos.f64 (*.f64 1/2 eps))
(cos.f64 (*.f64 eps -1/2))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) x)))
(fma.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) x) (cos.f64 (*.f64 1/2 eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) x) (cos.f64 (*.f64 eps -1/2)))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 -1/8 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 2))) (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) x))))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (fma.f64 -1/8 (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x x)) (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) x))))
(+.f64 (fma.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) x) (cos.f64 (*.f64 1/2 eps))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 (*.f64 x x) -1/8)))
(+.f64 (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) x)) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 x x)) 1) (cos.f64 (*.f64 1/2 eps))))
(+.f64 (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) x)) (*.f64 (+.f64 1 (*.f64 -1/8 (*.f64 x x))) (cos.f64 (*.f64 eps -1/2))))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 -1/8 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 2))) (+.f64 (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) x)) (*.f64 1/48 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 3))))))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (fma.f64 -1/8 (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x x)) (fma.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) x) (*.f64 1/48 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 3))))))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (fma.f64 -1/8 (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x x)) (fma.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) x) (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (pow.f64 x 3) 1/48)))))
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 -1/2 x) (*.f64 1/48 (pow.f64 x 3)))) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 x x)) 1) (cos.f64 (*.f64 1/2 eps))))
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 -1/2 x))) (*.f64 (+.f64 1 (*.f64 -1/8 (*.f64 x x))) (cos.f64 (*.f64 eps -1/2))))
(cos.f64 (*.f64 1/2 (+.f64 eps x)))
(cos.f64 (*.f64 1/2 (+.f64 eps x)))
(cos.f64 (*.f64 1/2 (+.f64 eps x)))
(cos.f64 (*.f64 1/2 (+.f64 eps x)))
(cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -1 x))))
(cos.f64 (*.f64 1/2 (+.f64 eps x)))
(cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -1 x))))
(cos.f64 (*.f64 1/2 (+.f64 eps x)))
(cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -1 x))))
(cos.f64 (*.f64 1/2 (+.f64 eps x)))
(cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -1 x))))
(cos.f64 (*.f64 1/2 (+.f64 eps x)))
(cos.f64 (*.f64 1/2 x))
(+.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 -1/2 (*.f64 eps (sin.f64 (*.f64 1/2 x)))))
(fma.f64 -1/2 (*.f64 eps (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(+.f64 (cos.f64 (*.f64 1/2 x)) (+.f64 (*.f64 -1/2 (*.f64 eps (sin.f64 (*.f64 1/2 x)))) (*.f64 -1/8 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 eps 2)))))
(+.f64 (cos.f64 (*.f64 1/2 x)) (fma.f64 -1/2 (*.f64 eps (sin.f64 (*.f64 1/2 x))) (*.f64 -1/8 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 eps eps)))))
(+.f64 (fma.f64 -1/2 (*.f64 eps (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 -1/8 (*.f64 eps eps))))
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(+.f64 (*.f64 -1/8 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (pow.f64 eps 2) (sin.f64 (*.f64 1/2 x))))) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))) (*.f64 -1/2 (*.f64 eps (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)))))
(fma.f64 -1/8 (*.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 eps eps)) (sin.f64 (*.f64 1/2 x))) (fma.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)) (*.f64 (*.f64 -1/2 eps) (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))))
(fma.f64 -1/8 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) (fma.f64 -1/2 (*.f64 eps (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))))
(+.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (*.f64 eps -1/2)) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 1/2 x)) (+.f64 1 (*.f64 eps (*.f64 eps -1/8))))))
(*.f64 (sin.f64 (*.f64 1/2 x)) (+.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 eps -1/2)) (*.f64 (+.f64 1 (*.f64 -1/8 (*.f64 eps eps))) (cos.f64 (*.f64 1/2 x)))))
(+.f64 (*.f64 1/48 (*.f64 (pow.f64 eps 3) (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))) (+.f64 (*.f64 -1/8 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (pow.f64 eps 2) (sin.f64 (*.f64 1/2 x))))) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))) (*.f64 -1/2 (*.f64 eps (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))))))
(fma.f64 1/48 (*.f64 (pow.f64 eps 3) (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) (fma.f64 -1/8 (*.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 eps eps)) (sin.f64 (*.f64 1/2 x))) (fma.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)) (*.f64 (*.f64 -1/2 eps) (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)))))
(fma.f64 1/48 (*.f64 (pow.f64 eps 3) (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) (fma.f64 -1/8 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) (fma.f64 -1/2 (*.f64 eps (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))))
(+.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 1/2 x)) (+.f64 1 (*.f64 eps (*.f64 eps -1/8))))) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (*.f64 eps (+.f64 (*.f64 1/48 (*.f64 eps eps)) -1/2))))
(*.f64 (sin.f64 (*.f64 1/2 x)) (+.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) (+.f64 (*.f64 1/48 (pow.f64 eps 3)) (*.f64 eps -1/2))) (*.f64 (+.f64 1 (*.f64 -1/8 (*.f64 eps eps))) (cos.f64 (*.f64 1/2 x)))))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps x))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps x))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps x))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps x))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 x (*.f64 -1 eps)))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps x))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 x (*.f64 -1 eps)))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps x))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 x (*.f64 -1 eps)))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps x))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 x (*.f64 -1 eps)))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps x))) (sin.f64 (*.f64 1/2 x)))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiled 12 to 6 computations (50% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
eps
@inf
(*.f64 -1/2 (*.f64 eps eps))
0.0ms
eps
@0
(*.f64 -1/2 (*.f64 eps eps))
0.0ms
eps
@-inf
(*.f64 -1/2 (*.f64 eps eps))

rewrite38.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
432×pow1_binary64
420×add-sqr-sqrt_binary64
411×*-un-lft-identity_binary64
401×add-log-exp_binary64
401×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11027
211487
Stop Event
1×node limit
Counts
1 → 14
Calls
Call 1
Inputs
(*.f64 -1/2 (*.f64 eps eps))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/2 (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 eps eps))) (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 eps eps))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 eps eps)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/2 (*.f64 eps eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/2 (*.f64 eps eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/2 (*.f64 eps eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 eps eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (sqrt.f64 -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/4 (pow.f64 eps 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/2) (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/2 (*.f64 eps eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/2 (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/2 (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/2 (*.f64 eps eps))))))))

simplify172.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
1082×sqr-pow_binary64
617×cube-prod_binary64
554×fabs-mul_binary64
523×pow-sqr_binary64
441×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0684
11284
22384
34484
410584
533184
6125084
7212384
8228784
9247184
10267984
11297684
12337184
13385284
14441884
15510284
16593584
17632784
18661984
19689584
20696984
21700384
22794484
Stop Event
1×node limit
Counts
26 → 16
Calls
Call 1
Inputs
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
Outputs
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.3b
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
✓0.3b
(pow.f64 (+.f64 (cos.f64 eps) -1) 3)
✓1.8b
(+.f64 (cos.f64 eps) -1)
Compiler

Compiled 24 to 16 computations (33.3% saved)

series4.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
eps
@inf
(pow.f64 (+.f64 (cos.f64 eps) -1) 3)
1.0ms
eps
@-inf
(pow.f64 (+.f64 (cos.f64 eps) -1) 3)
1.0ms
eps
@0
(pow.f64 (+.f64 (cos.f64 eps) -1) 3)
0.0ms
eps
@0
(+.f64 (cos.f64 eps) -1)
0.0ms
eps
@0
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))

rewrite68.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
713×pow1_binary64
670×add-log-exp_binary64
670×log1p-expm1-u_binary64
670×expm1-log1p-u_binary64
656×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0821
117121
2179121
Stop Event
1×node limit
Counts
3 → 100
Calls
Call 1
Inputs
(+.f64 (cos.f64 eps) -1)
(pow.f64 (+.f64 (cos.f64 eps) -1) 3)
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (cos.f64 eps) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.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 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) 1/3))))) (#(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 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (/.f64 1 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) 1/3) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3/2) 1/3) (pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3/2) 1/3))))) (#(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 (pow.f64 (cos.f64 eps) 2) (-.f64 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) (+.f64 (pow.f64 (cos.f64 eps) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 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 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (+.f64 (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (neg.f64 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (cos.f64 eps) 2)) (-.f64 -1 (cos.f64 eps)))))) (#(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) 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 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 cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cos.f64 eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 eps) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) (*.f64 -1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) (*.f64 (cos.f64 eps) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (cos.f64 eps)) (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) -1) (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 (+.f64 (cos.f64 eps) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2) (*.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (*.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3/2) (pow.f64 (+.f64 (cos.f64 eps) -1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2) 3) (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) 3) (pow.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) 1) (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (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 (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (sqrt.f64 (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) 3) (pow.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) 3) (pow.f64 (+.f64 (cos.f64 eps) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) (+.f64 (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (+.f64 (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (+.f64 (cos.f64 eps) -1))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (cos.f64 eps) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.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 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) 1/3))))) (#(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 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (/.f64 1 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) 1/3) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3/2) 1/3) (pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3/2) 1/3))))) (#(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 (pow.f64 (cos.f64 eps) 2) (-.f64 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) (+.f64 (pow.f64 (cos.f64 eps) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 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 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (+.f64 (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (neg.f64 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (cos.f64 eps) 2)) (-.f64 -1 (cos.f64 eps)))))) (#(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) 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 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 expm1.f64 (log1p.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cos.f64 eps) -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)))))

simplify66.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
878×distribute-rgt-out_binary64
822×distribute-lft-out_binary64
722×associate-*l*_binary64
648×fma-def_binary64
553×associate-*r*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047378
1115378
2264378
3871378
44146378
57177378
Stop Event
1×node limit
Counts
136 → 85
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 -1/8 (pow.f64 eps 6))
(+.f64 (*.f64 1/32 (pow.f64 eps 8)) (*.f64 -1/8 (pow.f64 eps 6)))
(+.f64 (*.f64 1/32 (pow.f64 eps 8)) (+.f64 (*.f64 -7/1920 (pow.f64 eps 10)) (*.f64 -1/8 (pow.f64 eps 6))))
(+.f64 (*.f64 1/32 (pow.f64 eps 8)) (+.f64 (*.f64 -7/1920 (pow.f64 eps 10)) (+.f64 (*.f64 -1/8 (pow.f64 eps 6)) (*.f64 1/3780 (pow.f64 eps 12)))))
(pow.f64 (-.f64 (cos.f64 eps) 1) 3)
(pow.f64 (-.f64 (cos.f64 eps) 1) 3)
(pow.f64 (-.f64 (cos.f64 eps) 1) 3)
(pow.f64 (-.f64 (cos.f64 eps) 1) 3)
(pow.f64 (-.f64 (cos.f64 eps) 1) 3)
(pow.f64 (-.f64 (cos.f64 eps) 1) 3)
(pow.f64 (-.f64 (cos.f64 eps) 1) 3)
(pow.f64 (-.f64 (cos.f64 eps) 1) 3)
(*.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)
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 eps (*.f64 eps (fma.f64 eps (*.f64 eps 1/24) -1/2)))
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps 1/24) -1/2))
(+.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 -1/2 (*.f64 eps eps) (fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/720 (pow.f64 eps 6))))
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps 1/24) -1/2) (*.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)))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) (*.f64 1/40320 (pow.f64 eps 8)))))
(fma.f64 -1/2 (*.f64 eps eps) (fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/720 (pow.f64 eps 6) (*.f64 1/40320 (pow.f64 eps 8)))))
(fma.f64 (pow.f64 eps 4) (fma.f64 (pow.f64 eps 4) 1/40320 1/24) (fma.f64 -1/720 (pow.f64 eps 6) (*.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 -1/8 (pow.f64 eps 6))
(*.f64 (pow.f64 eps 6) -1/8)
(+.f64 (*.f64 1/32 (pow.f64 eps 8)) (*.f64 -1/8 (pow.f64 eps 6)))
(fma.f64 1/32 (pow.f64 eps 8) (*.f64 (pow.f64 eps 6) -1/8))
(fma.f64 (pow.f64 eps 6) -1/8 (*.f64 (pow.f64 eps 8) 1/32))
(+.f64 (*.f64 1/32 (pow.f64 eps 8)) (+.f64 (*.f64 -7/1920 (pow.f64 eps 10)) (*.f64 -1/8 (pow.f64 eps 6))))
(fma.f64 1/32 (pow.f64 eps 8) (fma.f64 -7/1920 (pow.f64 eps 10) (*.f64 (pow.f64 eps 6) -1/8)))
(fma.f64 (pow.f64 eps 8) 1/32 (fma.f64 (pow.f64 eps 6) -1/8 (*.f64 -7/1920 (pow.f64 eps 10))))
(fma.f64 (pow.f64 eps 6) -1/8 (fma.f64 (pow.f64 eps 8) 1/32 (*.f64 -7/1920 (pow.f64 eps 10))))
(+.f64 (*.f64 1/32 (pow.f64 eps 8)) (+.f64 (*.f64 -7/1920 (pow.f64 eps 10)) (+.f64 (*.f64 -1/8 (pow.f64 eps 6)) (*.f64 1/3780 (pow.f64 eps 12)))))
(fma.f64 1/32 (pow.f64 eps 8) (fma.f64 -7/1920 (pow.f64 eps 10) (fma.f64 -1/8 (pow.f64 eps 6) (*.f64 1/3780 (pow.f64 eps 12)))))
(fma.f64 (pow.f64 eps 8) 1/32 (fma.f64 -7/1920 (pow.f64 eps 10) (fma.f64 (pow.f64 eps 6) -1/8 (*.f64 1/3780 (pow.f64 eps 12)))))
(fma.f64 (pow.f64 eps 6) -1/8 (fma.f64 (pow.f64 eps 8) 1/32 (fma.f64 -7/1920 (pow.f64 eps 10) (*.f64 1/3780 (pow.f64 eps 12)))))
(fma.f64 (pow.f64 eps 6) -1/8 (fma.f64 (pow.f64 eps 8) 1/32 (fma.f64 1/3780 (pow.f64 eps 12) (*.f64 -7/1920 (pow.f64 eps 10)))))
(pow.f64 (-.f64 (cos.f64 eps) 1) 3)
(pow.f64 (+.f64 (cos.f64 eps) -1) 3)
(pow.f64 (-.f64 (cos.f64 eps) 1) 3)
(pow.f64 (+.f64 (cos.f64 eps) -1) 3)
(pow.f64 (-.f64 (cos.f64 eps) 1) 3)
(pow.f64 (+.f64 (cos.f64 eps) -1) 3)
(pow.f64 (-.f64 (cos.f64 eps) 1) 3)
(pow.f64 (+.f64 (cos.f64 eps) -1) 3)
(pow.f64 (-.f64 (cos.f64 eps) 1) 3)
(pow.f64 (+.f64 (cos.f64 eps) -1) 3)
(pow.f64 (-.f64 (cos.f64 eps) 1) 3)
(pow.f64 (+.f64 (cos.f64 eps) -1) 3)
(pow.f64 (-.f64 (cos.f64 eps) 1) 3)
(pow.f64 (+.f64 (cos.f64 eps) -1) 3)
(pow.f64 (-.f64 (cos.f64 eps) 1) 3)
(pow.f64 (+.f64 (cos.f64 eps) -1) 3)
(*.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 eps (*.f64 eps (fma.f64 eps (*.f64 eps 1/24) -1/2)))
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps 1/24) -1/2))
(+.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 -1/2 (*.f64 eps eps) (fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/720 (pow.f64 eps 6))))
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps 1/24) -1/2) (*.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)))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) (*.f64 1/40320 (pow.f64 eps 8)))))
(fma.f64 -1/2 (*.f64 eps eps) (fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/720 (pow.f64 eps 6) (*.f64 1/40320 (pow.f64 eps 8)))))
(fma.f64 (pow.f64 eps 4) (fma.f64 (pow.f64 eps 4) 1/40320 1/24) (fma.f64 -1/720 (pow.f64 eps 6) (*.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)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.5b
(pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3)
✓0.5b
(cbrt.f64 (cos.f64 (+.f64 x eps)))
3.3b
(cos.f64 (+.f64 x eps))
✓15.8b
(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
Compiler

Compiled 36 to 12 computations (66.7% saved)

series29.0ms (0.2%)

Counts
3 → 72
Calls

18 calls:

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

rewrite82.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01025
123225
2300325
Stop Event
1×node limit
Counts
3 → 217
Calls
Call 1
Inputs
(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
(cbrt.f64 (cos.f64 (+.f64 x eps)))
(pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 x eps)) (*.f64 (neg.f64 (cos.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2) (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (sin.f64 (/.f64 (-.f64 (+.f64 x eps) x) 2)) (sin.f64 (/.f64 (+.f64 (+.f64 x eps) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3))) (neg.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2))) (neg.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (neg.f64 (cos.f64 x)) 3)) (+.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (-.f64 (pow.f64 (neg.f64 (cos.f64 x)) 2) (*.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (neg.f64 (cos.f64 x)) 2)) (-.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 x eps)))) (exp.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (cos.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 x eps)))) (+.f64 1 (expm1.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 x eps)))) (exp.f64 (neg.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 x eps)))) (/.f64 1 (exp.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (neg.f64 (cos.f64 x))) (exp.f64 (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (neg.f64 (cos.f64 x))) (+.f64 1 (expm1.f64 (cos.f64 (+.f64 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (/.f64 1 (exp.f64 (cos.f64 x))) (+.f64 1 (expm1.f64 (cos.f64 (+.f64 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 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simplify176.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
803×unsub-neg_binary64
757×associate-+l+_binary64
643×associate-+r+_binary64
310×associate-*r*_binary64
306×+-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02435210
18684942
232464509
368754492
Stop Event
1×node limit
Counts
289 → 277
Calls
Call 1
Inputs
(-.f64 (*.f64 (cos.f64 eps) (pow.f64 1 1/3)) 1)
(-.f64 (+.f64 (*.f64 (cos.f64 eps) (pow.f64 1 1/3)) (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 eps) 4) 1) 1/9) (sin.f64 eps))) (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 eps) 4) 1) 1/9) (sin.f64 eps)))) x)) 1)
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(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (cos.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (cos.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (cos.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (pow.f64 1 1/3)) (cos.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (pow.f64 1 1/3)) (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 x) 4) 1) 1/9) (sin.f64 x))) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 x) 4) 1) 1/9) (sin.f64 x)))) eps)) (cos.f64 x))
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(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (cos.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (cos.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (cos.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 (-.f64 x (*.f64 -1 eps)))) (cos.f64 x))
(pow.f64 (cos.f64 eps) 1/3)
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2)) 1/9) (*.f64 (sin.f64 eps) x))) (pow.f64 (cos.f64 eps) 1/3))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2)) 1/9) (*.f64 (sin.f64 eps) x))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2)) 1/3) (*.f64 (-.f64 (*.f64 -1/2 (cos.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))) (pow.f64 x 2)))) (pow.f64 (cos.f64 eps) 1/3)))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2)) 1/9) (*.f64 (sin.f64 eps) x))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2)) 1/3) (*.f64 (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2)) 1/3) (pow.f64 (sin.f64 eps) 3))) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 5)) 1/9) (*.f64 (-.f64 (*.f64 -1/2 (cos.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))) (sin.f64 eps)))) (*.f64 -1/6 (sin.f64 eps)))) (pow.f64 x 3)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2)) 1/3) (*.f64 (-.f64 (*.f64 -1/2 (cos.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))) (pow.f64 x 2)))) (pow.f64 (cos.f64 eps) 1/3))))
(pow.f64 (cos.f64 (+.f64 eps x)) 1/3)
(pow.f64 (cos.f64 (+.f64 eps x)) 1/3)
(pow.f64 (cos.f64 (+.f64 eps x)) 1/3)
(pow.f64 (cos.f64 (+.f64 eps x)) 1/3)
(pow.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) 1/3)
(pow.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) 1/3)
(pow.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) 1/3)
(pow.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) 1/3)
(pow.f64 (cos.f64 x) 1/3)
(+.f64 (pow.f64 (cos.f64 x) 1/3) (*.f64 -1/3 (*.f64 (*.f64 eps (sin.f64 x)) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) 1/9))))
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(+.f64 (*.f64 -1/3 (*.f64 (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 5)) 1/9) (*.f64 (-.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/9) (pow.f64 (sin.f64 x) 2)))) (sin.f64 x)))) (+.f64 (*.f64 -1/6 (sin.f64 x)) (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) 1/3) (pow.f64 (sin.f64 x) 3))))) (pow.f64 eps 3)) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) 1/3))) (+.f64 (*.f64 1/3 (*.f64 (*.f64 (-.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/9) (pow.f64 (sin.f64 x) 2)))) (pow.f64 eps 2)) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) 1/3))) (+.f64 (pow.f64 (cos.f64 x) 1/3) (*.f64 -1/3 (*.f64 (*.f64 eps (sin.f64 x)) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) 1/9))))))
(pow.f64 (cos.f64 (+.f64 eps x)) 1/3)
(pow.f64 (cos.f64 (+.f64 eps x)) 1/3)
(pow.f64 (cos.f64 (+.f64 eps x)) 1/3)
(pow.f64 (cos.f64 (+.f64 eps x)) 1/3)
(pow.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) 1/3)
(pow.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) 1/3)
(pow.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) 1/3)
(pow.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) 1/3)
(*.f64 (cos.f64 eps) (pow.f64 1 1/3))
(+.f64 (*.f64 (cos.f64 eps) (pow.f64 1 1/3)) (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 eps) 4) 1) 1/9) (sin.f64 eps))) (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 eps) 4) 1) 1/9) (sin.f64 eps)))) x))
(+.f64 (*.f64 (cos.f64 eps) (pow.f64 1 1/3)) (+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 eps) 4) 1) 1/9) (sin.f64 eps))) (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 eps) 4) 1) 1/9) (sin.f64 eps)))) x) (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 eps) 1) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/3) (-.f64 (*.f64 -1/2 (cos.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/9) (pow.f64 (sin.f64 eps) 2))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 -1/2 (cos.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))))) (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2))))) (pow.f64 x 2))))
(+.f64 (*.f64 (cos.f64 eps) (pow.f64 1 1/3)) (+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2)) 1/3) (pow.f64 (sin.f64 eps) 3))) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 5)) 1/9) (*.f64 (-.f64 (*.f64 -1/2 (cos.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))) (sin.f64 eps)))) (*.f64 -1/6 (sin.f64 eps)))))) (+.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 eps) 1) 1/3) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/3) (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2)) 1/3) (pow.f64 (sin.f64 eps) 3))) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 5)) 1/9) (*.f64 (-.f64 (*.f64 -1/2 (cos.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))) (sin.f64 eps)))) (*.f64 -1/6 (sin.f64 eps)))))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 8)) 1/9) (*.f64 (-.f64 (*.f64 -1/2 (cos.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))) (sin.f64 eps)))))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2)) 1/9) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/3) (-.f64 (*.f64 -1/2 (cos.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/9) (pow.f64 (sin.f64 eps) 2)))) (sin.f64 eps)))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 5)) 1/9) (*.f64 (-.f64 (*.f64 -1/2 (cos.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))) (sin.f64 eps))))))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 eps) 4) 1) 1/9) (sin.f64 eps))) (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 eps) 4) 1) 1/9) (sin.f64 eps)))) x) (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 eps) 1) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/3) (-.f64 (*.f64 -1/2 (cos.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/9) (pow.f64 (sin.f64 eps) 2))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 -1/2 (cos.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))))) (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2))))) (pow.f64 x 2)))))
(*.f64 (pow.f64 1 1/3) (cos.f64 (+.f64 eps x)))
(*.f64 (pow.f64 1 1/3) (cos.f64 (+.f64 eps x)))
(*.f64 (pow.f64 1 1/3) (cos.f64 (+.f64 eps x)))
(*.f64 (pow.f64 1 1/3) (cos.f64 (+.f64 eps x)))
(*.f64 (pow.f64 1 1/3) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(*.f64 (pow.f64 1 1/3) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(*.f64 (pow.f64 1 1/3) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(*.f64 (pow.f64 1 1/3) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(*.f64 (cos.f64 x) (pow.f64 1 1/3))
(+.f64 (*.f64 (cos.f64 x) (pow.f64 1 1/3)) (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 x) 4) 1) 1/9) (sin.f64 x))) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 x) 4) 1) 1/9) (sin.f64 x)))) eps))
(+.f64 (*.f64 (cos.f64 x) (pow.f64 1 1/3)) (+.f64 (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 x) 4) 1) 1/9) (sin.f64 x))) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 x) 4) 1) 1/9) (sin.f64 x)))) eps) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/3 (*.f64 (-.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/9) (pow.f64 (sin.f64 x) 2)))) (pow.f64 1 1/3))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/9) (pow.f64 (sin.f64 x) 2))) (*.f64 (pow.f64 (*.f64 (cos.f64 x) 1) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/3) (-.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/9) (pow.f64 (sin.f64 x) 2)))))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 4)) 1/9) (pow.f64 (sin.f64 x) 2))))))))))
(+.f64 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/3 (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 5)) 1/9) (*.f64 (-.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/9) (pow.f64 (sin.f64 x) 2)))) (sin.f64 x)))) (+.f64 (*.f64 -1/6 (sin.f64 x)) (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) 1/3) (pow.f64 (sin.f64 x) 3))))) (pow.f64 1 1/3))) (+.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 x) 1) 1/3) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 8)) 1/9) (*.f64 (-.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/9) (pow.f64 (sin.f64 x) 2)))) (sin.f64 x)))) (*.f64 -2/3 (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 5)) 1/9) (*.f64 (-.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/9) (pow.f64 (sin.f64 x) 2)))) (sin.f64 x)))) (+.f64 (*.f64 -1/6 (sin.f64 x)) (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) 1/3) (pow.f64 (sin.f64 x) 3))))) (pow.f64 (/.f64 1 (cos.f64 x)) 1/3))))) (+.f64 (*.f64 -2/9 (*.f64 (*.f64 (-.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/9) (pow.f64 (sin.f64 x) 2)))) (sin.f64 x)) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 5)) 1/9))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) 1/9) (*.f64 (sin.f64 x) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/3) (-.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/9) (pow.f64 (sin.f64 x) 2)))))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 4)) 1/9) (pow.f64 (sin.f64 x) 2))))))))))) (+.f64 (*.f64 (cos.f64 x) (pow.f64 1 1/3)) (+.f64 (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 x) 4) 1) 1/9) (sin.f64 x))) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 x) 4) 1) 1/9) (sin.f64 x)))) eps) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/3 (*.f64 (-.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/9) (pow.f64 (sin.f64 x) 2)))) (pow.f64 1 1/3))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/9) (pow.f64 (sin.f64 x) 2))) (*.f64 (pow.f64 (*.f64 (cos.f64 x) 1) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/3) (-.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/9) (pow.f64 (sin.f64 x) 2)))))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 4)) 1/9) (pow.f64 (sin.f64 x) 2)))))))))))
(*.f64 (pow.f64 1 1/3) (cos.f64 (+.f64 eps x)))
(*.f64 (pow.f64 1 1/3) (cos.f64 (+.f64 eps x)))
(*.f64 (pow.f64 1 1/3) (cos.f64 (+.f64 eps x)))
(*.f64 (pow.f64 1 1/3) (cos.f64 (+.f64 eps x)))
(*.f64 (pow.f64 1 1/3) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(*.f64 (pow.f64 1 1/3) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(*.f64 (pow.f64 1 1/3) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(*.f64 (pow.f64 1 1/3) (cos.f64 (-.f64 x (*.f64 -1 eps))))
Outputs
(-.f64 (*.f64 (cos.f64 eps) (pow.f64 1 1/3)) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (+.f64 (*.f64 (cos.f64 eps) (pow.f64 1 1/3)) (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 eps) 4) 1) 1/9) (sin.f64 eps))) (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 eps) 4) 1) 1/9) (sin.f64 eps)))) x)) 1)
(+.f64 (cos.f64 eps) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (cos.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (cos.f64 eps) 4) 1/18)) (sin.f64 eps)) -1) x) 1))
(+.f64 (cos.f64 eps) (fma.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (cos.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (cos.f64 eps) 4) 1/18)) (*.f64 (sin.f64 eps) -1)) x -1))
(+.f64 (cos.f64 eps) (fma.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (cos.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (cos.f64 eps) 4) 1/18)) (sin.f64 eps)) (neg.f64 x) -1))
(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (cos.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (cos.f64 eps) 4) 1/18)) (sin.f64 eps)) x))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) (pow.f64 1 1/3)) (+.f64 (*.f64 (+.f64 1/2 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 -1/2 (cos.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))))) (+.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 eps) 1) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/3) (-.f64 (*.f64 -1/2 (cos.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/9) (pow.f64 (sin.f64 eps) 2))))) (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))))) (pow.f64 x 2)) (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 eps) 4) 1) 1/9) (sin.f64 eps))) (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 eps) 4) 1) 1/9) (sin.f64 eps)))) x))) 1)
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 (+.f64 1/2 (+.f64 (*.f64 1/3 (-.f64 (*.f64 (cos.f64 eps) -1/2) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)) (pow.f64 (sin.f64 eps) 2))))) (fma.f64 (cbrt.f64 (cos.f64 eps)) (fma.f64 2/3 (*.f64 (-.f64 (*.f64 (cos.f64 eps) -1/2) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)) (pow.f64 (sin.f64 eps) 2)))) (cbrt.f64 (/.f64 1 (cos.f64 eps)))) (*.f64 1/9 (*.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/18))))) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)) (pow.f64 (sin.f64 eps) 2)) 2/9)))) (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (cos.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (cos.f64 eps) 4) 1/18)) (sin.f64 eps)) -1) x)) 1))
(+.f64 (fma.f64 (+.f64 1/2 (fma.f64 (cbrt.f64 (cos.f64 eps)) (fma.f64 1/9 (*.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/18))) (*.f64 2/3 (*.f64 (fma.f64 (cos.f64 eps) -1/2 (*.f64 (*.f64 -1/3 (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)))) (cbrt.f64 (/.f64 1 (cos.f64 eps)))))) (fma.f64 1/3 (fma.f64 (cos.f64 eps) -1/2 (*.f64 (*.f64 -1/3 (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)) (*.f64 (pow.f64 (sin.f64 eps) 2) 2/9))))) (*.f64 x x) (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (cos.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (cos.f64 eps) 4) 1/18)) (sin.f64 eps)) (neg.f64 x))) (+.f64 (cos.f64 eps) -1))
(+.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (cos.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (cos.f64 eps) 4) 1/18)) (sin.f64 eps))) x (cos.f64 eps)) (fma.f64 x (*.f64 x (+.f64 1/2 (+.f64 (*.f64 (fma.f64 (cos.f64 eps) -1/2 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (pow.f64 (sin.f64 eps) 2))))) (+.f64 1/3 (*.f64 (cbrt.f64 (cos.f64 eps)) (*.f64 2/3 (cbrt.f64 (/.f64 1 (cos.f64 eps))))))) (*.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (*.f64 (cbrt.f64 (cos.f64 eps)) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/18)))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)) 2/9)))))) -1))
(+.f64 (cos.f64 eps) (fma.f64 x (-.f64 (*.f64 (+.f64 1/2 (+.f64 (*.f64 (fma.f64 (cos.f64 eps) -1/2 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (pow.f64 (sin.f64 eps) 2))))) (+.f64 1/3 (*.f64 (cbrt.f64 (cos.f64 eps)) (*.f64 2/3 (cbrt.f64 (/.f64 1 (cos.f64 eps))))))) (*.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (*.f64 (cbrt.f64 (cos.f64 eps)) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/18)))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)) 2/9))))) x) (*.f64 (*.f64 (pow.f64 (pow.f64 (cos.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (cos.f64 eps) 4) 1/18)) (sin.f64 eps))) -1))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) (pow.f64 1 1/3)) (+.f64 (*.f64 (+.f64 1/2 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 -1/2 (cos.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))))) (+.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 eps) 1) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/3) (-.f64 (*.f64 -1/2 (cos.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/9) (pow.f64 (sin.f64 eps) 2))))) (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2)) 1/3) (pow.f64 (sin.f64 eps) 3))) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 5)) 1/9) (*.f64 (-.f64 (*.f64 -1/2 (cos.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))) (sin.f64 eps)))) (*.f64 -1/6 (sin.f64 eps)))))) (+.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 eps) 1) 1/3) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/3) (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2)) 1/3) (pow.f64 (sin.f64 eps) 3))) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 5)) 1/9) (*.f64 (-.f64 (*.f64 -1/2 (cos.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))) (sin.f64 eps)))) (*.f64 -1/6 (sin.f64 eps)))))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 8)) 1/9) (*.f64 (-.f64 (*.f64 -1/2 (cos.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))) (sin.f64 eps)))))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2)) 1/9) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/3) (-.f64 (*.f64 -1/2 (cos.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/9) (pow.f64 (sin.f64 eps) 2)))) (sin.f64 eps)))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 5)) 1/9) (*.f64 (-.f64 (*.f64 -1/2 (cos.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/9) (pow.f64 (sin.f64 eps) 2)))) (sin.f64 eps))))))) (pow.f64 x 3)) (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 eps) 4) 1) 1/9) (sin.f64 eps))) (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 eps) 4) 1) 1/9) (sin.f64 eps)))) x)))) 1)
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(+.f64 (fma.f64 (+.f64 1/2 (fma.f64 (cbrt.f64 (cos.f64 eps)) (fma.f64 1/9 (*.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/18))) (*.f64 2/3 (*.f64 (fma.f64 (cos.f64 eps) -1/2 (*.f64 (*.f64 -1/3 (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)))) (cbrt.f64 (/.f64 1 (cos.f64 eps)))))) (fma.f64 1/3 (fma.f64 (cos.f64 eps) -1/2 (*.f64 (*.f64 -1/3 (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)) (*.f64 (pow.f64 (sin.f64 eps) 2) 2/9))))) (*.f64 x x) (fma.f64 (fma.f64 -1/3 (fma.f64 -1/27 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2))) (pow.f64 (sin.f64 eps) 3)) (fma.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 5)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 5)) 1/18) (*.f64 (sin.f64 eps) (fma.f64 (cos.f64 eps) -1/2 (*.f64 (*.f64 -1/3 (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18))))))) (*.f64 (sin.f64 eps) -1/6))) (fma.f64 (cbrt.f64 (cos.f64 eps)) (fma.f64 -2/9 (*.f64 (*.f64 (sin.f64 eps) (fma.f64 (cos.f64 eps) -1/2 (*.f64 (*.f64 -1/3 (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18))))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 8)) 1/18))) (*.f64 (fma.f64 -1/27 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2))) (pow.f64 (sin.f64 eps) 3)) (fma.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 5)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 5)) 1/18) (*.f64 (sin.f64 eps) (fma.f64 (cos.f64 eps) -1/2 (*.f64 (*.f64 -1/3 (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18))))))) (*.f64 (sin.f64 eps) -1/6))) (*.f64 -2/3 (cbrt.f64 (/.f64 1 (cos.f64 eps)))))) (fma.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2)) 1/18))) (*.f64 (sin.f64 eps) (fma.f64 1/9 (*.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/18))) (*.f64 2/3 (*.f64 (fma.f64 (cos.f64 eps) -1/2 (*.f64 (*.f64 -1/3 (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)))) (cbrt.f64 (/.f64 1 (cos.f64 eps))))))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 5)) 1/18)) (*.f64 (*.f64 (sin.f64 eps) (fma.f64 (cos.f64 eps) -1/2 (*.f64 (*.f64 -1/3 (pow.f64 (sin.f64 eps) 2)) (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18))))) -2/9))))) (pow.f64 x 3) (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (cos.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (cos.f64 eps) 4) 1/18)) (sin.f64 eps)) (neg.f64 x)))) (+.f64 (cos.f64 eps) -1))
(+.f64 (cos.f64 eps) (+.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (cos.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (cos.f64 eps) 4) 1/18)) (sin.f64 eps)) (neg.f64 x) -1) (*.f64 (*.f64 x x) (+.f64 (+.f64 1/2 (+.f64 (*.f64 (fma.f64 (cos.f64 eps) -1/2 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (pow.f64 (sin.f64 eps) 2))))) (+.f64 1/3 (*.f64 (cbrt.f64 (cos.f64 eps)) (*.f64 2/3 (cbrt.f64 (/.f64 1 (cos.f64 eps))))))) (*.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (*.f64 (cbrt.f64 (cos.f64 eps)) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/18)))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)) 2/9))))) (*.f64 (+.f64 (*.f64 (fma.f64 -1/27 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2))) (pow.f64 (sin.f64 eps) 3)) (*.f64 (sin.f64 eps) (+.f64 (*.f64 -2/3 (*.f64 (fma.f64 (cos.f64 eps) -1/2 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (pow.f64 (sin.f64 eps) 2))))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 5)) 1/18)))) -1/6))) (+.f64 -1/3 (*.f64 (cbrt.f64 (cos.f64 eps)) (*.f64 -2/3 (cbrt.f64 (/.f64 1 (cos.f64 eps))))))) (+.f64 (*.f64 (sin.f64 eps) (+.f64 (*.f64 -1/3 (*.f64 (fma.f64 (*.f64 2/3 (cbrt.f64 (/.f64 1 (cos.f64 eps)))) (fma.f64 (cos.f64 eps) -1/2 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (pow.f64 (sin.f64 eps) 2))))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/18)) (*.f64 (pow.f64 (sin.f64 eps) 2) 1/9))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2)) 1/18)))) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 5)) 1/18)) -2/9) (fma.f64 (cos.f64 eps) -1/2 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (pow.f64 (sin.f64 eps) 2)))))))) (*.f64 (cbrt.f64 (cos.f64 eps)) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 8)) 1/18)) (*.f64 (*.f64 (sin.f64 eps) (fma.f64 (cos.f64 eps) -1/2 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (pow.f64 (sin.f64 eps) 2)))))) -2/9))))) x)))))
(+.f64 (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 (+.f64 1/2 (+.f64 (*.f64 (fma.f64 (cos.f64 eps) -1/2 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (pow.f64 (sin.f64 eps) 2))))) (+.f64 1/3 (*.f64 (cbrt.f64 (cos.f64 eps)) (*.f64 2/3 (cbrt.f64 (/.f64 1 (cos.f64 eps))))))) (*.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (*.f64 (cbrt.f64 (cos.f64 eps)) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/18)))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)) 2/9))))) x) (*.f64 (*.f64 (pow.f64 (pow.f64 (cos.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (cos.f64 eps) 4) 1/18)) (sin.f64 eps))))) (fma.f64 (+.f64 (*.f64 (fma.f64 -1/27 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2))) (pow.f64 (sin.f64 eps) 3)) (*.f64 (sin.f64 eps) (+.f64 (*.f64 -2/3 (*.f64 (fma.f64 (cos.f64 eps) -1/2 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (pow.f64 (sin.f64 eps) 2))))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 5)) 1/18)))) -1/6))) (+.f64 -1/3 (*.f64 (cbrt.f64 (cos.f64 eps)) (*.f64 -2/3 (cbrt.f64 (/.f64 1 (cos.f64 eps))))))) (+.f64 (*.f64 (sin.f64 eps) (+.f64 (*.f64 -1/3 (*.f64 (fma.f64 (*.f64 2/3 (cbrt.f64 (/.f64 1 (cos.f64 eps)))) (fma.f64 (cos.f64 eps) -1/2 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (pow.f64 (sin.f64 eps) 2))))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/18)) (*.f64 (pow.f64 (sin.f64 eps) 2) 1/9))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 2)) 1/18)))) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 5)) 1/18)) -2/9) (fma.f64 (cos.f64 eps) -1/2 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (pow.f64 (sin.f64 eps) 2)))))))) (*.f64 (cbrt.f64 (cos.f64 eps)) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 8)) 1/18)) (*.f64 (*.f64 (sin.f64 eps) (fma.f64 (cos.f64 eps) -1/2 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (pow.f64 (sin.f64 eps) 2)))))) -2/9))))) (pow.f64 x 3) -1))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (*.f64 1 (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (*.f64 1 (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (*.f64 1 (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (*.f64 1 (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (cos.f64 x))
(-.f64 (*.f64 1 (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (cos.f64 x))
(-.f64 (*.f64 1 (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (cos.f64 x))
(-.f64 (*.f64 1 (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (cos.f64 (-.f64 eps (*.f64 -1 x)))) (cos.f64 x))
(-.f64 (*.f64 1 (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (pow.f64 1 1/3)) (cos.f64 x))
(-.f64 (cos.f64 x) (cos.f64 x))
0
(-.f64 (+.f64 (*.f64 (cos.f64 x) (pow.f64 1 1/3)) (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 x) 4) 1) 1/9) (sin.f64 x))) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 x) 4) 1) 1/9) (sin.f64 x)))) eps)) (cos.f64 x))
(+.f64 (cos.f64 x) (-.f64 (*.f64 eps (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (cos.f64 x) 4) 1/18) (pow.f64 (pow.f64 (cos.f64 x) 4) 1/18)) (sin.f64 x)) -1)) (cos.f64 x)))
(+.f64 (*.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 (pow.f64 (cos.f64 x) 4) 1/18)) (pow.f64 (pow.f64 (cos.f64 x) 4) 1/18)) (neg.f64 eps)) 0)
(*.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 (pow.f64 (cos.f64 x) 4) 1/18)) (pow.f64 (pow.f64 (cos.f64 x) 4) 1/18)) (neg.f64 eps))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (pow.f64 1 1/3)) (+.f64 (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 x) 4) 1) 1/9) (sin.f64 x))) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 x) 4) 1) 1/9) (sin.f64 x)))) eps) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/3 (*.f64 (-.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/9) (pow.f64 (sin.f64 x) 2)))) (pow.f64 1 1/3))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/9) (pow.f64 (sin.f64 x) 2))) (*.f64 (pow.f64 (*.f64 (cos.f64 x) 1) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/3) (-.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/9) (pow.f64 (sin.f64 x) 2)))))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 4)) 1/9) (pow.f64 (sin.f64 x) 2)))))))))) (cos.f64 x))
(+.f64 (cos.f64 x) (-.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (cos.f64 x) 4) 1/18) (pow.f64 (pow.f64 (cos.f64 x) 4) 1/18)) (sin.f64 x)) -1) eps (*.f64 (*.f64 eps eps) (fma.f64 1/3 (*.f64 1 (-.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/18) (pow.f64 (/.f64 1 (cos.f64 x)) 1/18)) (pow.f64 (sin.f64 x) 2))))) (fma.f64 2/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/18) (pow.f64 (/.f64 1 (cos.f64 x)) 1/18)) (pow.f64 (sin.f64 x) 2)) (*.f64 (cbrt.f64 (cos.f64 x)) (fma.f64 2/3 (*.f64 (-.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/18) (pow.f64 (/.f64 1 (cos.f64 x)) 1/18)) (pow.f64 (sin.f64 x) 2)))) (cbrt.f64 (/.f64 1 (cos.f64 x)))) (*.f64 1/9 (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 4)) 1/18)))))))))) (cos.f64 x)))
(+.f64 (fma.f64 (*.f64 eps eps) (fma.f64 1/3 (fma.f64 -1/2 (cos.f64 x) (*.f64 (*.f64 -1/3 (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/18) (pow.f64 (/.f64 1 (cos.f64 x)) 1/18)))) (fma.f64 2/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/18) (pow.f64 (/.f64 1 (cos.f64 x)) 1/18)) (pow.f64 (sin.f64 x) 2)) (*.f64 (cbrt.f64 (cos.f64 x)) (fma.f64 1/9 (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 4)) 1/18))) (*.f64 2/3 (*.f64 (fma.f64 -1/2 (cos.f64 x) (*.f64 (*.f64 -1/3 (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/18) (pow.f64 (/.f64 1 (cos.f64 x)) 1/18)))) (cbrt.f64 (/.f64 1 (cos.f64 x))))))))) (*.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 (pow.f64 (cos.f64 x) 4) 1/18)) (pow.f64 (pow.f64 (cos.f64 x) 4) 1/18)) (neg.f64 eps))) 0)
(*.f64 eps (+.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 (pow.f64 (cos.f64 x) 4) 1/18)) (pow.f64 (pow.f64 (cos.f64 x) 4) 1/18))) (*.f64 eps (fma.f64 1/3 (fma.f64 -1/2 (cos.f64 x) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/18) (pow.f64 (/.f64 1 (cos.f64 x)) 1/18)) (pow.f64 (sin.f64 x) 2)))) (fma.f64 (cbrt.f64 (cos.f64 x)) (fma.f64 1/9 (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 4)) 1/18))) (*.f64 (fma.f64 -1/2 (cos.f64 x) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/18) (pow.f64 (/.f64 1 (cos.f64 x)) 1/18)) (pow.f64 (sin.f64 x) 2)))) (*.f64 2/3 (cbrt.f64 (/.f64 1 (cos.f64 x)))))) (*.f64 2/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/18) (pow.f64 (/.f64 1 (cos.f64 x)) 1/18)) (pow.f64 (sin.f64 x) 2))))))))
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(cbrt.f64 (cos.f64 (+.f64 eps x)))
(pow.f64 (cos.f64 (+.f64 eps x)) 1/3)
(cbrt.f64 (cos.f64 (+.f64 eps x)))
(pow.f64 (cos.f64 (+.f64 eps x)) 1/3)
(cbrt.f64 (cos.f64 (+.f64 eps x)))
(pow.f64 (cos.f64 (+.f64 eps x)) 1/3)
(cbrt.f64 (cos.f64 (+.f64 eps x)))
(pow.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) 1/3)
(cbrt.f64 (cos.f64 (+.f64 eps x)))
(pow.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) 1/3)
(cbrt.f64 (cos.f64 (+.f64 eps x)))
(pow.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) 1/3)
(cbrt.f64 (cos.f64 (+.f64 eps x)))
(pow.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) 1/3)
(cbrt.f64 (cos.f64 (+.f64 eps x)))
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(+.f64 (fma.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) 1/18)) (*.f64 eps (sin.f64 x))) (cbrt.f64 (cos.f64 x))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2))) (*.f64 (*.f64 eps eps) (+.f64 (*.f64 (*.f64 -1/3 (+.f64 (*.f64 -1/27 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2))) (pow.f64 (sin.f64 x) 3))) (*.f64 (sin.f64 x) (+.f64 (*.f64 -2/3 (*.f64 (fma.f64 -1/2 (cos.f64 x) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/18) (pow.f64 (/.f64 1 (cos.f64 x)) 1/18)) (pow.f64 (sin.f64 x) 2)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 5)) 1/18)))) -1/6)))) eps) (*.f64 1/3 (fma.f64 -1/2 (cos.f64 x) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/18) (pow.f64 (/.f64 1 (cos.f64 x)) 1/18)) (pow.f64 (sin.f64 x) 2)))))))))
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(cbrt.f64 (cos.f64 (+.f64 eps x)))
(pow.f64 (cos.f64 (+.f64 eps x)) 1/3)
(cbrt.f64 (cos.f64 (+.f64 eps x)))
(pow.f64 (cos.f64 (+.f64 eps x)) 1/3)
(cbrt.f64 (cos.f64 (+.f64 eps x)))
(pow.f64 (cos.f64 (+.f64 eps x)) 1/3)
(cbrt.f64 (cos.f64 (+.f64 eps x)))
(pow.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) 1/3)
(cbrt.f64 (cos.f64 (+.f64 eps x)))
(pow.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) 1/3)
(cbrt.f64 (cos.f64 (+.f64 eps x)))
(pow.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) 1/3)
(cbrt.f64 (cos.f64 (+.f64 eps x)))
(pow.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) 1/3)
(cbrt.f64 (cos.f64 (+.f64 eps x)))
(*.f64 (cos.f64 eps) (pow.f64 1 1/3))
(cos.f64 eps)
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(fma.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (cos.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (cos.f64 eps) 4) 1/18)) (sin.f64 eps))) x (cos.f64 eps))
(-.f64 (cos.f64 eps) (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (cos.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (cos.f64 eps) 4) 1/18)) (sin.f64 eps)) x))
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(+.f64 (cos.f64 eps) (*.f64 x (+.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (cos.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (cos.f64 eps) 4) 1/18)) (sin.f64 eps))) (*.f64 (+.f64 (*.f64 (fma.f64 (cos.f64 eps) -1/2 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (pow.f64 (sin.f64 eps) 2))))) (+.f64 1/3 (*.f64 (cbrt.f64 (cos.f64 eps)) (*.f64 2/3 (cbrt.f64 (/.f64 1 (cos.f64 eps))))))) (*.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (*.f64 (cbrt.f64 (cos.f64 eps)) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/18)))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)) 2/9)))) x))))
(+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 (+.f64 (*.f64 (fma.f64 (cos.f64 eps) -1/2 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (pow.f64 (sin.f64 eps) 2))))) (+.f64 1/3 (*.f64 (cbrt.f64 (cos.f64 eps)) (*.f64 2/3 (cbrt.f64 (/.f64 1 (cos.f64 eps))))))) (*.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (*.f64 (cbrt.f64 (cos.f64 eps)) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 eps) 4)) 1/18)))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18) (pow.f64 (/.f64 1 (cos.f64 eps)) 1/18)) 2/9)))) x) (*.f64 (*.f64 (pow.f64 (pow.f64 (cos.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (cos.f64 eps) 4) 1/18)) (sin.f64 eps)))))
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(*.f64 (pow.f64 1 1/3) (cos.f64 (+.f64 eps x)))
(*.f64 1 (cos.f64 (+.f64 eps x)))
(cos.f64 (+.f64 eps x))
(*.f64 (pow.f64 1 1/3) (cos.f64 (+.f64 eps x)))
(*.f64 1 (cos.f64 (+.f64 eps x)))
(cos.f64 (+.f64 eps x))
(*.f64 (pow.f64 1 1/3) (cos.f64 (+.f64 eps x)))
(*.f64 1 (cos.f64 (+.f64 eps x)))
(cos.f64 (+.f64 eps x))
(*.f64 (pow.f64 1 1/3) (cos.f64 (+.f64 eps x)))
(*.f64 1 (cos.f64 (+.f64 eps x)))
(cos.f64 (+.f64 eps x))
(*.f64 (pow.f64 1 1/3) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(*.f64 1 (cos.f64 (+.f64 eps x)))
(cos.f64 (+.f64 eps x))
(*.f64 (pow.f64 1 1/3) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(*.f64 1 (cos.f64 (+.f64 eps x)))
(cos.f64 (+.f64 eps x))
(*.f64 (pow.f64 1 1/3) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(*.f64 1 (cos.f64 (+.f64 eps x)))
(cos.f64 (+.f64 eps x))
(*.f64 (pow.f64 1 1/3) (cos.f64 (-.f64 eps (*.f64 -1 x))))
(*.f64 1 (cos.f64 (+.f64 eps x)))
(cos.f64 (+.f64 eps x))
(*.f64 (cos.f64 x) (pow.f64 1 1/3))
(cos.f64 x)
(+.f64 (*.f64 (cos.f64 x) (pow.f64 1 1/3)) (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 x) 4) 1) 1/9) (sin.f64 x))) (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 x) 4) 1) 1/9) (sin.f64 x)))) eps))
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(fma.f64 eps (*.f64 -1 (*.f64 (*.f64 (sin.f64 x) (pow.f64 (pow.f64 (cos.f64 x) 4) 1/18)) (pow.f64 (pow.f64 (cos.f64 x) 4) 1/18))) (cos.f64 x))
(fma.f64 eps (neg.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 (pow.f64 (cos.f64 x) 4) 1/18)) (pow.f64 (pow.f64 (cos.f64 x) 4) 1/18))) (cos.f64 x))
(-.f64 (cos.f64 x) (*.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 (pow.f64 (cos.f64 x) 4) 1/18)) (pow.f64 (pow.f64 (cos.f64 x) 4) 1/18)) eps))
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(fma.f64 (pow.f64 eps 3) (fma.f64 -1/3 (*.f64 1 (fma.f64 -2/3 (*.f64 (-.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/18) (pow.f64 (/.f64 1 (cos.f64 x)) 1/18)) (pow.f64 (sin.f64 x) 2)))) (*.f64 (sin.f64 x) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 5)) 1/18)))) (fma.f64 -1/6 (sin.f64 x) (*.f64 -1/27 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2))) (pow.f64 (sin.f64 x) 3)))))) (fma.f64 (cbrt.f64 (cos.f64 x)) (fma.f64 -2/9 (*.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/18) (pow.f64 (/.f64 1 (cos.f64 x)) 1/18)) (pow.f64 (sin.f64 x) 2))))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 8)) 1/18))) (*.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 1 (cos.f64 x))) (fma.f64 -2/3 (*.f64 (-.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/18) (pow.f64 (/.f64 1 (cos.f64 x)) 1/18)) (pow.f64 (sin.f64 x) 2)))) (*.f64 (sin.f64 x) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 5)) 1/18)))) (fma.f64 -1/6 (sin.f64 x) (*.f64 -1/27 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2))) (pow.f64 (sin.f64 x) 3)))))))) (fma.f64 -2/9 (*.f64 (-.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/18) (pow.f64 (/.f64 1 (cos.f64 x)) 1/18)) (pow.f64 (sin.f64 x) 2)))) (*.f64 (sin.f64 x) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 5)) 1/18)))) (*.f64 -1/3 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) 1/18)) (sin.f64 x)) (fma.f64 2/3 (*.f64 (-.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/18) (pow.f64 (/.f64 1 (cos.f64 x)) 1/18)) (pow.f64 (sin.f64 x) 2)))) (cbrt.f64 (/.f64 1 (cos.f64 x)))) (*.f64 1/9 (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 4)) 1/18)))))))))) (+.f64 (cos.f64 x) (fma.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (cos.f64 x) 4) 1/18) (pow.f64 (pow.f64 (cos.f64 x) 4) 1/18)) (sin.f64 x)) -1) eps (*.f64 (*.f64 eps eps) (fma.f64 1/3 (*.f64 1 (-.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/18) (pow.f64 (/.f64 1 (cos.f64 x)) 1/18)) (pow.f64 (sin.f64 x) 2))))) (fma.f64 2/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/18) (pow.f64 (/.f64 1 (cos.f64 x)) 1/18)) (pow.f64 (sin.f64 x) 2)) (*.f64 (cbrt.f64 (cos.f64 x)) (fma.f64 2/3 (*.f64 (-.f64 (*.f64 -1/2 (cos.f64 x)) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/18) (pow.f64 (/.f64 1 (cos.f64 x)) 1/18)) (pow.f64 (sin.f64 x) 2)))) (cbrt.f64 (/.f64 1 (cos.f64 x)))) (*.f64 1/9 (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 4)) 1/18))))))))))))
(+.f64 (fma.f64 (*.f64 eps eps) (fma.f64 1/3 (fma.f64 -1/2 (cos.f64 x) (*.f64 (*.f64 -1/3 (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/18) (pow.f64 (/.f64 1 (cos.f64 x)) 1/18)))) (fma.f64 2/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/18) (pow.f64 (/.f64 1 (cos.f64 x)) 1/18)) (pow.f64 (sin.f64 x) 2)) (*.f64 (cbrt.f64 (cos.f64 x)) (fma.f64 1/9 (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 4)) 1/18))) (*.f64 2/3 (*.f64 (fma.f64 -1/2 (cos.f64 x) (*.f64 (*.f64 -1/3 (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/18) (pow.f64 (/.f64 1 (cos.f64 x)) 1/18)))) (cbrt.f64 (/.f64 1 (cos.f64 x))))))))) (*.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 (pow.f64 (cos.f64 x) 4) 1/18)) (pow.f64 (pow.f64 (cos.f64 x) 4) 1/18)) (neg.f64 eps))) (fma.f64 (fma.f64 -1/3 (fma.f64 -2/3 (*.f64 (fma.f64 -1/2 (cos.f64 x) (*.f64 (*.f64 -1/3 (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/18) (pow.f64 (/.f64 1 (cos.f64 x)) 1/18)))) (*.f64 (sin.f64 x) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 5)) 1/18)))) (fma.f64 -1/27 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2))) (pow.f64 (sin.f64 x) 3)) (*.f64 -1/6 (sin.f64 x)))) (fma.f64 -2/9 (*.f64 (fma.f64 -1/2 (cos.f64 x) (*.f64 (*.f64 -1/3 (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/18) (pow.f64 (/.f64 1 (cos.f64 x)) 1/18)))) (*.f64 (sin.f64 x) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 5)) 1/18)))) (fma.f64 -1/3 (*.f64 (fma.f64 1/9 (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 4)) 1/18))) (*.f64 2/3 (*.f64 (fma.f64 -1/2 (cos.f64 x) (*.f64 (*.f64 -1/3 (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/18) (pow.f64 (/.f64 1 (cos.f64 x)) 1/18)))) (cbrt.f64 (/.f64 1 (cos.f64 x)))))) (*.f64 (*.f64 (sin.f64 x) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) 1/18))) (*.f64 (cbrt.f64 (cos.f64 x)) (fma.f64 -2/9 (*.f64 (sin.f64 x) (*.f64 (fma.f64 -1/2 (cos.f64 x) (*.f64 (*.f64 -1/3 (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/18) (pow.f64 (/.f64 1 (cos.f64 x)) 1/18)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 8)) 1/18)))) (*.f64 (fma.f64 -2/3 (*.f64 (fma.f64 -1/2 (cos.f64 x) (*.f64 (*.f64 -1/3 (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/18) (pow.f64 (/.f64 1 (cos.f64 x)) 1/18)))) (*.f64 (sin.f64 x) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 5)) 1/18)))) (fma.f64 -1/27 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2))) (pow.f64 (sin.f64 x) 3)) (*.f64 -1/6 (sin.f64 x)))) (*.f64 (cbrt.f64 (/.f64 1 (cos.f64 x))) -2/3))))))) (pow.f64 eps 3) (cos.f64 x)))
(+.f64 (cos.f64 x) (fma.f64 (+.f64 (+.f64 (*.f64 (cbrt.f64 (cos.f64 x)) (*.f64 (+.f64 (*.f64 -1/27 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2))) (pow.f64 (sin.f64 x) 3))) (*.f64 (sin.f64 x) (+.f64 (*.f64 -2/3 (*.f64 (fma.f64 -1/2 (cos.f64 x) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/18) (pow.f64 (/.f64 1 (cos.f64 x)) 1/18)) (pow.f64 (sin.f64 x) 2)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 5)) 1/18)))) -1/6))) (*.f64 (cbrt.f64 (/.f64 1 (cos.f64 x))) -2/3))) (*.f64 (*.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/18) (pow.f64 (/.f64 1 (cos.f64 x)) 1/18)) (pow.f64 (sin.f64 x) 2))))) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 5)) 1/18))) (*.f64 (cbrt.f64 (cos.f64 x)) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 8)) 1/18))))))) (*.f64 -1/3 (+.f64 (*.f64 (fma.f64 1/9 (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 4)) 1/18))) (*.f64 (fma.f64 -1/2 (cos.f64 x) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/18) (pow.f64 (/.f64 1 (cos.f64 x)) 1/18)) (pow.f64 (sin.f64 x) 2)))) (*.f64 2/3 (cbrt.f64 (/.f64 1 (cos.f64 x)))))) (*.f64 (sin.f64 x) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) 1/18)))) (+.f64 (*.f64 -1/27 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2))) (pow.f64 (sin.f64 x) 3))) (*.f64 (sin.f64 x) (+.f64 (*.f64 -2/3 (*.f64 (fma.f64 -1/2 (cos.f64 x) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/18) (pow.f64 (/.f64 1 (cos.f64 x)) 1/18)) (pow.f64 (sin.f64 x) 2)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 5)) 1/18)))) -1/6)))))) (pow.f64 eps 3) (*.f64 eps (+.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 (pow.f64 (cos.f64 x) 4) 1/18)) (pow.f64 (pow.f64 (cos.f64 x) 4) 1/18))) (*.f64 eps (fma.f64 1/3 (fma.f64 -1/2 (cos.f64 x) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/18) (pow.f64 (/.f64 1 (cos.f64 x)) 1/18)) (pow.f64 (sin.f64 x) 2)))) (fma.f64 (cbrt.f64 (cos.f64 x)) (fma.f64 1/9 (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 4)) 1/18))) (*.f64 (fma.f64 -1/2 (cos.f64 x) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/18) (pow.f64 (/.f64 1 (cos.f64 x)) 1/18)) (pow.f64 (sin.f64 x) 2)))) (*.f64 2/3 (cbrt.f64 (/.f64 1 (cos.f64 x)))))) (*.f64 2/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/18) (pow.f64 (/.f64 1 (cos.f64 x)) 1/18)) (pow.f64 (sin.f64 x) 2))))))))))
(+.f64 (cos.f64 x) (fma.f64 (+.f64 (+.f64 (*.f64 (cbrt.f64 (cos.f64 x)) (*.f64 (+.f64 (*.f64 -1/27 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2))) (pow.f64 (sin.f64 x) 3))) (*.f64 (sin.f64 x) (+.f64 (*.f64 -2/3 (*.f64 (fma.f64 -1/2 (cos.f64 x) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/18) (pow.f64 (/.f64 1 (cos.f64 x)) 1/18)) (pow.f64 (sin.f64 x) 2)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 5)) 1/18)))) -1/6))) (*.f64 (cbrt.f64 (/.f64 1 (cos.f64 x))) -2/3))) (*.f64 (*.f64 (sin.f64 x) (fma.f64 -1/2 (cos.f64 x) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/18) (pow.f64 (/.f64 1 (cos.f64 x)) 1/18)) (pow.f64 (sin.f64 x) 2))))) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 5)) 1/18))) (*.f64 (cbrt.f64 (cos.f64 x)) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 8)) 1/18))))))) (*.f64 -1/3 (+.f64 (*.f64 (fma.f64 1/9 (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 4)) 1/18))) (*.f64 (fma.f64 -1/2 (cos.f64 x) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/18) (pow.f64 (/.f64 1 (cos.f64 x)) 1/18)) (pow.f64 (sin.f64 x) 2)))) (*.f64 2/3 (cbrt.f64 (/.f64 1 (cos.f64 x)))))) (*.f64 (sin.f64 x) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2)) 1/18)))) (+.f64 (*.f64 -1/27 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 x) 2))) (pow.f64 (sin.f64 x) 3))) (*.f64 (sin.f64 x) (+.f64 (*.f64 -2/3 (*.f64 (fma.f64 -1/2 (cos.f64 x) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/18) (pow.f64 (/.f64 1 (cos.f64 x)) 1/18)) (pow.f64 (sin.f64 x) 2)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 5)) 1/18)))) -1/6)))))) (pow.f64 eps 3) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 1/3 (fma.f64 -1/2 (cos.f64 x) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/18) (pow.f64 (/.f64 1 (cos.f64 x)) 1/18)) (pow.f64 (sin.f64 x) 2)))) (fma.f64 (cbrt.f64 (cos.f64 x)) (fma.f64 1/9 (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 x) 4)) 1/18))) (*.f64 (fma.f64 -1/2 (cos.f64 x) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/18) (pow.f64 (/.f64 1 (cos.f64 x)) 1/18)) (pow.f64 (sin.f64 x) 2)))) (*.f64 2/3 (cbrt.f64 (/.f64 1 (cos.f64 x)))))) (*.f64 2/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (cos.f64 x)) 1/18) (pow.f64 (/.f64 1 (cos.f64 x)) 1/18)) (pow.f64 (sin.f64 x) 2)))))) (*.f64 (*.f64 (sin.f64 x) (pow.f64 (pow.f64 (cos.f64 x) 4) 1/18)) (pow.f64 (pow.f64 (cos.f64 x) 4) 1/18))))))
(*.f64 (pow.f64 1 1/3) (cos.f64 (+.f64 eps x)))
(*.f64 1 (cos.f64 (+.f64 eps x)))
(cos.f64 (+.f64 eps x))
(*.f64 (pow.f64 1 1/3) (cos.f64 (+.f64 eps x)))
(*.f64 1 (cos.f64 (+.f64 eps x)))
(cos.f64 (+.f64 eps x))
(*.f64 (pow.f64 1 1/3) (cos.f64 (+.f64 eps x)))
(*.f64 1 (cos.f64 (+.f64 eps x)))
(cos.f64 (+.f64 eps x))
(*.f64 (pow.f64 1 1/3) (cos.f64 (+.f64 eps x)))
(*.f64 1 (cos.f64 (+.f64 eps x)))
(cos.f64 (+.f64 eps x))
(*.f64 (pow.f64 1 1/3) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(*.f64 1 (cos.f64 (+.f64 eps x)))
(cos.f64 (+.f64 eps x))
(*.f64 (pow.f64 1 1/3) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(*.f64 1 (cos.f64 (+.f64 eps x)))
(cos.f64 (+.f64 eps x))
(*.f64 (pow.f64 1 1/3) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(*.f64 1 (cos.f64 (+.f64 eps x)))
(cos.f64 (+.f64 eps x))
(*.f64 (pow.f64 1 1/3) (cos.f64 (-.f64 x (*.f64 -1 eps))))
(*.f64 1 (cos.f64 (+.f64 eps x)))
(cos.f64 (+.f64 eps x))

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.4b
(+.f64 1 (expm1.f64 (cos.f64 (+.f64 x eps))))
✓0.5b
(expm1.f64 (cos.f64 (+.f64 x eps)))
3.3b
(cos.f64 (+.f64 x eps))
✓6.4b
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 x eps)))) (exp.f64 (cos.f64 x))))
Compiler

Compiled 52 to 17 computations (67.3% saved)

series144.0ms (0.8%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
68.0ms
eps
@-inf
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 x eps)))) (exp.f64 (cos.f64 x))))
28.0ms
eps
@inf
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 x eps)))) (exp.f64 (cos.f64 x))))
21.0ms
x
@inf
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 x eps)))) (exp.f64 (cos.f64 x))))
16.0ms
x
@-inf
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 x eps)))) (exp.f64 (cos.f64 x))))
3.0ms
eps
@0
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 x eps)))) (exp.f64 (cos.f64 x))))

rewrite221.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
855×prod-diff_binary64
596×log-prod_binary64
382×fma-def_binary64
230×expm1-udef_binary64
230×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01237
125327
2347927
Stop Event
1×node limit
Counts
3 → 157
Calls
Call 1
Inputs
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 x eps)))) (exp.f64 (cos.f64 x))))
(expm1.f64 (cos.f64 (+.f64 x eps)))
(+.f64 1 (expm1.f64 (cos.f64 (+.f64 x eps))))
Outputs
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(-.f64 (expm1.f64 (cos.f64 (+.f64 x eps))) 1) 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (expm1.f64 (cos.f64 (+.f64 x eps))) 2)) (/.f64 1 (-.f64 1 (expm1.f64 (cos.f64 (+.f64 x eps))))) 0)))))

simplify106.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
768×associate-+l+_binary64
689×associate-+r+_binary64
656×distribute-lft-in_binary64
656×distribute-rgt-in_binary64
247×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01991954
16691802
224151710
Stop Event
1×node limit
Counts
229 → 214
Calls
Call 1
Inputs
(log.f64 (/.f64 (exp.f64 (cos.f64 eps)) (exp.f64 1)))
(+.f64 (log.f64 (/.f64 (exp.f64 (cos.f64 eps)) (exp.f64 1))) (*.f64 -1 (*.f64 x (sin.f64 eps))))
(+.f64 (log.f64 (/.f64 (exp.f64 (cos.f64 eps)) (exp.f64 1))) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 eps) 2)) (*.f64 -1/2 (cos.f64 eps))) (exp.f64 (cos.f64 eps))) (exp.f64 1)) (*.f64 -1/2 (/.f64 (exp.f64 (cos.f64 eps)) (E.f64)))) (exp.f64 1)) (exp.f64 (cos.f64 eps)))) (*.f64 -1 (pow.f64 (sin.f64 eps) 2))) (pow.f64 x 2))) (*.f64 -1 (*.f64 x (sin.f64 eps)))))
(+.f64 (log.f64 (/.f64 (exp.f64 (cos.f64 eps)) (exp.f64 1))) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 eps) 2)) (*.f64 -1/2 (cos.f64 eps))) (exp.f64 (cos.f64 eps))) (exp.f64 1)) (*.f64 -1/2 (/.f64 (exp.f64 (cos.f64 eps)) (E.f64)))) (exp.f64 1)) (exp.f64 (cos.f64 eps)))) (*.f64 -1 (pow.f64 (sin.f64 eps) 2))) (pow.f64 x 2))) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 6 (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (exp.f64 (cos.f64 eps)) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 eps) (sin.f64 eps))) (+.f64 (*.f64 1/6 (sin.f64 eps)) (*.f64 -1/6 (pow.f64 (sin.f64 eps) 3))))) (exp.f64 1)) (*.f64 1/2 (/.f64 (*.f64 (exp.f64 (cos.f64 eps)) (sin.f64 eps)) (E.f64)))) (exp.f64 1)) (exp.f64 (cos.f64 eps)))) (+.f64 (*.f64 -2 (pow.f64 (sin.f64 eps) 3)) (*.f64 6 (/.f64 (*.f64 (sin.f64 eps) (*.f64 (-.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 eps) 2)) (*.f64 -1/2 (cos.f64 eps))) (exp.f64 (cos.f64 eps))) (exp.f64 1)) (*.f64 -1/2 (/.f64 (exp.f64 (cos.f64 eps)) (E.f64)))) (exp.f64 1))) (exp.f64 (cos.f64 eps)))))) (pow.f64 x 3))) (*.f64 -1 (*.f64 x (sin.f64 eps))))))
(log.f64 (/.f64 (exp.f64 (cos.f64 (+.f64 eps x))) (exp.f64 (cos.f64 x))))
(log.f64 (/.f64 (exp.f64 (cos.f64 (+.f64 eps x))) (exp.f64 (cos.f64 x))))
(log.f64 (/.f64 (exp.f64 (cos.f64 (+.f64 eps x))) (exp.f64 (cos.f64 x))))
(log.f64 (/.f64 (exp.f64 (cos.f64 (+.f64 eps x))) (exp.f64 (cos.f64 x))))
(log.f64 (/.f64 (exp.f64 (cos.f64 (-.f64 eps (*.f64 -1 x)))) (exp.f64 (cos.f64 x))))
(log.f64 (/.f64 (exp.f64 (cos.f64 (-.f64 eps (*.f64 -1 x)))) (exp.f64 (cos.f64 x))))
(log.f64 (/.f64 (exp.f64 (cos.f64 (-.f64 eps (*.f64 -1 x)))) (exp.f64 (cos.f64 x))))
(log.f64 (/.f64 (exp.f64 (cos.f64 (-.f64 eps (*.f64 -1 x)))) (exp.f64 (cos.f64 x))))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (pow.f64 (sin.f64 x) 2)) (*.f64 2 (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 x) 2)) (*.f64 -1/2 (cos.f64 x))))))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 6 (+.f64 (*.f64 -1/6 (pow.f64 (sin.f64 x) 3)) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 x) (sin.f64 x))) (*.f64 1/6 (sin.f64 x))))) (+.f64 (*.f64 -2 (pow.f64 (sin.f64 x) 3)) (*.f64 6 (*.f64 (sin.f64 x) (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 x) 2)) (*.f64 -1/2 (cos.f64 x))))))))) (+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (pow.f64 (sin.f64 x) 2)) (*.f64 2 (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 x) 2)) (*.f64 -1/2 (cos.f64 x)))))))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 6 (+.f64 (*.f64 -1/6 (pow.f64 (sin.f64 x) 3)) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 x) (sin.f64 x))) (*.f64 1/6 (sin.f64 x))))) (+.f64 (*.f64 -2 (pow.f64 (sin.f64 x) 3)) (*.f64 6 (*.f64 (sin.f64 x) (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 x) 2)) (*.f64 -1/2 (cos.f64 x))))))))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 -12 (pow.f64 (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 x) 2)) (*.f64 -1/2 (cos.f64 x))) 2)) (+.f64 (*.f64 -6 (pow.f64 (sin.f64 x) 4)) (+.f64 (*.f64 24 (+.f64 (*.f64 1/8 (pow.f64 (cos.f64 x) 2)) (+.f64 (*.f64 1/24 (cos.f64 x)) (+.f64 (*.f64 -1/4 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (+.f64 (*.f64 1/24 (pow.f64 (sin.f64 x) 4)) (*.f64 -1/6 (pow.f64 (sin.f64 x) 2))))))) (+.f64 (*.f64 24 (*.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (pow.f64 (sin.f64 x) 3)) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 x) (sin.f64 x))) (*.f64 1/6 (sin.f64 x)))))) (*.f64 24 (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 x) 2)) (*.f64 -1/2 (cos.f64 x))))))))))) (+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (pow.f64 (sin.f64 x) 2)) (*.f64 2 (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 x) 2)) (*.f64 -1/2 (cos.f64 x))))))))))
(log.f64 (/.f64 (exp.f64 (cos.f64 (+.f64 eps x))) (exp.f64 (cos.f64 x))))
(log.f64 (/.f64 (exp.f64 (cos.f64 (+.f64 eps x))) (exp.f64 (cos.f64 x))))
(log.f64 (/.f64 (exp.f64 (cos.f64 (+.f64 eps x))) (exp.f64 (cos.f64 x))))
(log.f64 (/.f64 (exp.f64 (cos.f64 (+.f64 eps x))) (exp.f64 (cos.f64 x))))
(log.f64 (/.f64 (exp.f64 (cos.f64 (-.f64 x (*.f64 -1 eps)))) (exp.f64 (cos.f64 x))))
(log.f64 (/.f64 (exp.f64 (cos.f64 (-.f64 x (*.f64 -1 eps)))) (exp.f64 (cos.f64 x))))
(log.f64 (/.f64 (exp.f64 (cos.f64 (-.f64 x (*.f64 -1 eps)))) (exp.f64 (cos.f64 x))))
(log.f64 (/.f64 (exp.f64 (cos.f64 (-.f64 x (*.f64 -1 eps)))) (exp.f64 (cos.f64 x))))
(-.f64 (exp.f64 (cos.f64 eps)) 1)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (exp.f64 (cos.f64 eps)) (*.f64 (sin.f64 eps) x))) (exp.f64 (cos.f64 eps))) 1)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (exp.f64 (cos.f64 eps)) (*.f64 (sin.f64 eps) x))) (+.f64 (exp.f64 (cos.f64 eps)) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 eps) 2)) (*.f64 -1/2 (cos.f64 eps))) (*.f64 (exp.f64 (cos.f64 eps)) (pow.f64 x 2))))) 1)
(-.f64 (+.f64 (*.f64 -1 (*.f64 (exp.f64 (cos.f64 eps)) (*.f64 (sin.f64 eps) x))) (+.f64 (*.f64 (exp.f64 (cos.f64 eps)) (*.f64 (+.f64 (*.f64 1/2 (*.f64 (cos.f64 eps) (sin.f64 eps))) (+.f64 (*.f64 1/6 (sin.f64 eps)) (*.f64 -1/6 (pow.f64 (sin.f64 eps) 3)))) (pow.f64 x 3))) (+.f64 (exp.f64 (cos.f64 eps)) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 eps) 2)) (*.f64 -1/2 (cos.f64 eps))) (*.f64 (exp.f64 (cos.f64 eps)) (pow.f64 x 2)))))) 1)
(-.f64 (exp.f64 (cos.f64 (+.f64 eps x))) 1)
(-.f64 (exp.f64 (cos.f64 (+.f64 eps x))) 1)
(-.f64 (exp.f64 (cos.f64 (+.f64 eps x))) 1)
(-.f64 (exp.f64 (cos.f64 (+.f64 eps x))) 1)
(-.f64 (exp.f64 (cos.f64 (-.f64 eps (*.f64 -1 x)))) 1)
(-.f64 (exp.f64 (cos.f64 (-.f64 eps (*.f64 -1 x)))) 1)
(-.f64 (exp.f64 (cos.f64 (-.f64 eps (*.f64 -1 x)))) 1)
(-.f64 (exp.f64 (cos.f64 (-.f64 eps (*.f64 -1 x)))) 1)
(-.f64 (exp.f64 (cos.f64 x)) 1)
(-.f64 (+.f64 (*.f64 -1 (*.f64 eps (*.f64 (sin.f64 x) (exp.f64 (cos.f64 x))))) (exp.f64 (cos.f64 x))) 1)
(-.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 x) 2)) (*.f64 -1/2 (cos.f64 x))) (exp.f64 (cos.f64 x)))) (+.f64 (*.f64 -1 (*.f64 eps (*.f64 (sin.f64 x) (exp.f64 (cos.f64 x))))) (exp.f64 (cos.f64 x)))) 1)
(-.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 x) 2)) (*.f64 -1/2 (cos.f64 x))) (exp.f64 (cos.f64 x)))) (+.f64 (*.f64 -1 (*.f64 eps (*.f64 (sin.f64 x) (exp.f64 (cos.f64 x))))) (+.f64 (*.f64 (pow.f64 eps 3) (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 (sin.f64 x) 3)) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 x) (sin.f64 x))) (*.f64 1/6 (sin.f64 x)))) (exp.f64 (cos.f64 x)))) (exp.f64 (cos.f64 x))))) 1)
(-.f64 (exp.f64 (cos.f64 (+.f64 eps x))) 1)
(-.f64 (exp.f64 (cos.f64 (+.f64 eps x))) 1)
(-.f64 (exp.f64 (cos.f64 (+.f64 eps x))) 1)
(-.f64 (exp.f64 (cos.f64 (+.f64 eps x))) 1)
(-.f64 (exp.f64 (cos.f64 (-.f64 x (*.f64 -1 eps)))) 1)
(-.f64 (exp.f64 (cos.f64 (-.f64 x (*.f64 -1 eps)))) 1)
(-.f64 (exp.f64 (cos.f64 (-.f64 x (*.f64 -1 eps)))) 1)
(-.f64 (exp.f64 (cos.f64 (-.f64 x (*.f64 -1 eps)))) 1)
(exp.f64 (cos.f64 eps))
(+.f64 (*.f64 -1 (*.f64 (exp.f64 (cos.f64 eps)) (*.f64 (sin.f64 eps) x))) (exp.f64 (cos.f64 eps)))
(+.f64 (*.f64 -1 (*.f64 (exp.f64 (cos.f64 eps)) (*.f64 (sin.f64 eps) x))) (+.f64 (exp.f64 (cos.f64 eps)) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 eps) 2)) (*.f64 -1/2 (cos.f64 eps))) (*.f64 (exp.f64 (cos.f64 eps)) (pow.f64 x 2)))))
(+.f64 (*.f64 -1 (*.f64 (exp.f64 (cos.f64 eps)) (*.f64 (sin.f64 eps) x))) (+.f64 (*.f64 (exp.f64 (cos.f64 eps)) (*.f64 (+.f64 (*.f64 1/2 (*.f64 (cos.f64 eps) (sin.f64 eps))) (+.f64 (*.f64 1/6 (sin.f64 eps)) (*.f64 -1/6 (pow.f64 (sin.f64 eps) 3)))) (pow.f64 x 3))) (+.f64 (exp.f64 (cos.f64 eps)) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 eps) 2)) (*.f64 -1/2 (cos.f64 eps))) (*.f64 (exp.f64 (cos.f64 eps)) (pow.f64 x 2))))))
(exp.f64 (cos.f64 (+.f64 eps x)))
(exp.f64 (cos.f64 (+.f64 eps x)))
(exp.f64 (cos.f64 (+.f64 eps x)))
(exp.f64 (cos.f64 (+.f64 eps x)))
(exp.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))))
(exp.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))))
(exp.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))))
(exp.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))))
(exp.f64 (cos.f64 x))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (sin.f64 x) (exp.f64 (cos.f64 x))))) (exp.f64 (cos.f64 x)))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (sin.f64 x) (exp.f64 (cos.f64 x))))) (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (cos.f64 x)) (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 x) 2)) (*.f64 -1/2 (cos.f64 x))))) (exp.f64 (cos.f64 x))))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (sin.f64 x) (exp.f64 (cos.f64 x))))) (+.f64 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (cos.f64 x)) (+.f64 (*.f64 -1/6 (pow.f64 (sin.f64 x) 3)) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 x) (sin.f64 x))) (*.f64 1/6 (sin.f64 x)))))) (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (cos.f64 x)) (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 x) 2)) (*.f64 -1/2 (cos.f64 x))))) (exp.f64 (cos.f64 x)))))
(exp.f64 (cos.f64 (+.f64 eps x)))
(exp.f64 (cos.f64 (+.f64 eps x)))
(exp.f64 (cos.f64 (+.f64 eps x)))
(exp.f64 (cos.f64 (+.f64 eps x)))
(exp.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))))
(exp.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))))
(exp.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))))
(exp.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))))
Outputs
(log.f64 (/.f64 (exp.f64 (cos.f64 eps)) (exp.f64 1)))
(log.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)))
(+.f64 (cos.f64 eps) -1)
(+.f64 (log.f64 (/.f64 (exp.f64 (cos.f64 eps)) (exp.f64 1))) (*.f64 -1 (*.f64 x (sin.f64 eps))))
(+.f64 (log.f64 (exp.f64 (-.f64 (cos.f64 eps) 1))) (*.f64 (neg.f64 x) (sin.f64 eps)))
(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
(+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps))))
(+.f64 (log.f64 (/.f64 (exp.f64 (cos.f64 eps)) (exp.f64 1))) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 eps) 2)) (*.f64 -1/2 (cos.f64 eps))) (exp.f64 (cos.f64 eps))) (exp.f64 1)) (*.f64 -1/2 (/.f64 (exp.f64 (cos.f64 eps)) (E.f64)))) (exp.f64 1)) (exp.f64 (cos.f64 eps)))) (*.f64 -1 (pow.f64 (sin.f64 eps) 2))) (pow.f64 x 2))) (*.f64 -1 (*.f64 x (sin.f64 eps)))))
(+.f64 (log.f64 (exp.f64 (-.f64 (cos.f64 eps) 1))) (fma.f64 1/2 (*.f64 (fma.f64 2 (/.f64 (+.f64 (/.f64 (fma.f64 1/2 (pow.f64 (sin.f64 eps) 2) (*.f64 (cos.f64 eps) -1/2)) (/.f64 (E.f64) (exp.f64 (cos.f64 eps)))) (*.f64 1/2 (exp.f64 (-.f64 (cos.f64 eps) 1)))) (exp.f64 (-.f64 (cos.f64 eps) 1))) (neg.f64 (pow.f64 (sin.f64 eps) 2))) (*.f64 x x)) (*.f64 (neg.f64 x) (sin.f64 eps))))
(+.f64 (+.f64 (cos.f64 eps) -1) (-.f64 (*.f64 1/2 (*.f64 (-.f64 (*.f64 2 (/.f64 (+.f64 (/.f64 (fma.f64 1/2 (pow.f64 (sin.f64 eps) 2) (*.f64 (cos.f64 eps) -1/2)) (exp.f64 (-.f64 1 (cos.f64 eps)))) (*.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 1/2)) (exp.f64 (+.f64 (cos.f64 eps) -1)))) (pow.f64 (sin.f64 eps) 2)) (*.f64 x x))) (*.f64 x (sin.f64 eps))))
(+.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (-.f64 (*.f64 (*.f64 1/2 (-.f64 (*.f64 2 (*.f64 (exp.f64 (-.f64 1 (cos.f64 eps))) (fma.f64 (/.f64 (fma.f64 1/2 (pow.f64 (sin.f64 eps) 2) (*.f64 (cos.f64 eps) -1/2)) (E.f64)) (exp.f64 (cos.f64 eps)) (*.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 1/2)))) (pow.f64 (sin.f64 eps) 2))) x) (sin.f64 eps))))
(+.f64 (log.f64 (/.f64 (exp.f64 (cos.f64 eps)) (exp.f64 1))) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 eps) 2)) (*.f64 -1/2 (cos.f64 eps))) (exp.f64 (cos.f64 eps))) (exp.f64 1)) (*.f64 -1/2 (/.f64 (exp.f64 (cos.f64 eps)) (E.f64)))) (exp.f64 1)) (exp.f64 (cos.f64 eps)))) (*.f64 -1 (pow.f64 (sin.f64 eps) 2))) (pow.f64 x 2))) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 6 (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (exp.f64 (cos.f64 eps)) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 eps) (sin.f64 eps))) (+.f64 (*.f64 1/6 (sin.f64 eps)) (*.f64 -1/6 (pow.f64 (sin.f64 eps) 3))))) (exp.f64 1)) (*.f64 1/2 (/.f64 (*.f64 (exp.f64 (cos.f64 eps)) (sin.f64 eps)) (E.f64)))) (exp.f64 1)) (exp.f64 (cos.f64 eps)))) (+.f64 (*.f64 -2 (pow.f64 (sin.f64 eps) 3)) (*.f64 6 (/.f64 (*.f64 (sin.f64 eps) (*.f64 (-.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 eps) 2)) (*.f64 -1/2 (cos.f64 eps))) (exp.f64 (cos.f64 eps))) (exp.f64 1)) (*.f64 -1/2 (/.f64 (exp.f64 (cos.f64 eps)) (E.f64)))) (exp.f64 1))) (exp.f64 (cos.f64 eps)))))) (pow.f64 x 3))) (*.f64 -1 (*.f64 x (sin.f64 eps))))))
(+.f64 (log.f64 (exp.f64 (-.f64 (cos.f64 eps) 1))) (fma.f64 1/2 (*.f64 (fma.f64 2 (/.f64 (+.f64 (/.f64 (fma.f64 1/2 (pow.f64 (sin.f64 eps) 2) (*.f64 (cos.f64 eps) -1/2)) (/.f64 (E.f64) (exp.f64 (cos.f64 eps)))) (*.f64 1/2 (exp.f64 (-.f64 (cos.f64 eps) 1)))) (exp.f64 (-.f64 (cos.f64 eps) 1))) (neg.f64 (pow.f64 (sin.f64 eps) 2))) (*.f64 x x)) (fma.f64 1/6 (*.f64 (fma.f64 6 (/.f64 (+.f64 (/.f64 (exp.f64 (cos.f64 eps)) (/.f64 (E.f64) (fma.f64 1/2 (*.f64 (cos.f64 eps) (sin.f64 eps)) (fma.f64 1/6 (sin.f64 eps) (*.f64 -1/6 (pow.f64 (sin.f64 eps) 3)))))) (*.f64 -1/2 (/.f64 (exp.f64 (cos.f64 eps)) (/.f64 (E.f64) (sin.f64 eps))))) (exp.f64 (-.f64 (cos.f64 eps) 1))) (fma.f64 -2 (pow.f64 (sin.f64 eps) 3) (*.f64 6 (/.f64 (*.f64 (sin.f64 eps) (*.f64 (E.f64) (+.f64 (/.f64 (fma.f64 1/2 (pow.f64 (sin.f64 eps) 2) (*.f64 (cos.f64 eps) -1/2)) (/.f64 (E.f64) (exp.f64 (cos.f64 eps)))) (*.f64 1/2 (exp.f64 (-.f64 (cos.f64 eps) 1)))))) (exp.f64 (cos.f64 eps)))))) (pow.f64 x 3)) (*.f64 (neg.f64 x) (sin.f64 eps)))))
(+.f64 (+.f64 (cos.f64 eps) -1) (fma.f64 1/2 (*.f64 (-.f64 (*.f64 2 (/.f64 (+.f64 (/.f64 (fma.f64 1/2 (pow.f64 (sin.f64 eps) 2) (*.f64 (cos.f64 eps) -1/2)) (exp.f64 (-.f64 1 (cos.f64 eps)))) (*.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 1/2)) (exp.f64 (+.f64 (cos.f64 eps) -1)))) (pow.f64 (sin.f64 eps) 2)) (*.f64 x x)) (-.f64 (*.f64 1/6 (*.f64 (fma.f64 6 (/.f64 (+.f64 (*.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) (+.f64 (*.f64 -1/6 (pow.f64 (sin.f64 eps) 3)) (*.f64 (sin.f64 eps) (+.f64 (*.f64 (cos.f64 eps) 1/2) 1/6)))) (*.f64 -1/2 (/.f64 (sin.f64 eps) (exp.f64 (-.f64 1 (cos.f64 eps)))))) (exp.f64 (+.f64 (cos.f64 eps) -1))) (fma.f64 6 (/.f64 (sin.f64 eps) (/.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) (+.f64 (/.f64 (fma.f64 1/2 (pow.f64 (sin.f64 eps) 2) (*.f64 (cos.f64 eps) -1/2)) (exp.f64 (-.f64 1 (cos.f64 eps)))) (*.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 1/2)))) (*.f64 (pow.f64 (sin.f64 eps) 3) -2))) (pow.f64 x 3))) (*.f64 x (sin.f64 eps)))))
(+.f64 (*.f64 x (-.f64 (*.f64 (*.f64 1/2 (-.f64 (*.f64 2 (*.f64 (exp.f64 (-.f64 1 (cos.f64 eps))) (fma.f64 (/.f64 (fma.f64 1/2 (pow.f64 (sin.f64 eps) 2) (*.f64 (cos.f64 eps) -1/2)) (E.f64)) (exp.f64 (cos.f64 eps)) (*.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 1/2)))) (pow.f64 (sin.f64 eps) 2))) x) (sin.f64 eps))) (+.f64 (+.f64 (cos.f64 eps) -1) (*.f64 1/6 (*.f64 (fma.f64 6 (*.f64 (exp.f64 (-.f64 1 (cos.f64 eps))) (fma.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) (+.f64 (*.f64 -1/6 (pow.f64 (sin.f64 eps) 3)) (*.f64 (sin.f64 eps) (+.f64 (*.f64 (cos.f64 eps) 1/2) 1/6))) (/.f64 -1/2 (/.f64 (exp.f64 (-.f64 1 (cos.f64 eps))) (sin.f64 eps))))) (fma.f64 6 (*.f64 (*.f64 (exp.f64 (-.f64 1 (cos.f64 eps))) (fma.f64 (/.f64 (fma.f64 1/2 (pow.f64 (sin.f64 eps) 2) (*.f64 (cos.f64 eps) -1/2)) (E.f64)) (exp.f64 (cos.f64 eps)) (*.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 1/2))) (sin.f64 eps)) (*.f64 (pow.f64 (sin.f64 eps) 3) -2))) (pow.f64 x 3)))))
(log.f64 (/.f64 (exp.f64 (cos.f64 (+.f64 eps x))) (exp.f64 (cos.f64 x))))
(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(log.f64 (/.f64 (exp.f64 (cos.f64 (+.f64 eps x))) (exp.f64 (cos.f64 x))))
(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(log.f64 (/.f64 (exp.f64 (cos.f64 (+.f64 eps x))) (exp.f64 (cos.f64 x))))
(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(log.f64 (/.f64 (exp.f64 (cos.f64 (+.f64 eps x))) (exp.f64 (cos.f64 x))))
(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(log.f64 (/.f64 (exp.f64 (cos.f64 (-.f64 eps (*.f64 -1 x)))) (exp.f64 (cos.f64 x))))
(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(log.f64 (/.f64 (exp.f64 (cos.f64 (-.f64 eps (*.f64 -1 x)))) (exp.f64 (cos.f64 x))))
(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(log.f64 (/.f64 (exp.f64 (cos.f64 (-.f64 eps (*.f64 -1 x)))) (exp.f64 (cos.f64 x))))
(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
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(+.f64 -1 (*.f64 (exp.f64 (cos.f64 x)) (-.f64 (+.f64 (*.f64 eps (*.f64 eps (fma.f64 1/2 (pow.f64 (sin.f64 x) 2) (*.f64 -1/2 (cos.f64 x))))) 1) (*.f64 eps (sin.f64 x)))))
(-.f64 (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 x) 2)) (*.f64 -1/2 (cos.f64 x))) (exp.f64 (cos.f64 x)))) (+.f64 (*.f64 -1 (*.f64 eps (*.f64 (sin.f64 x) (exp.f64 (cos.f64 x))))) (+.f64 (*.f64 (pow.f64 eps 3) (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 (sin.f64 x) 3)) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 x) (sin.f64 x))) (*.f64 1/6 (sin.f64 x)))) (exp.f64 (cos.f64 x)))) (exp.f64 (cos.f64 x))))) 1)
(+.f64 (fma.f64 (*.f64 eps eps) (*.f64 (exp.f64 (cos.f64 x)) (fma.f64 1/2 (pow.f64 (sin.f64 x) 2) (*.f64 -1/2 (cos.f64 x)))) (fma.f64 -1 (*.f64 eps (*.f64 (exp.f64 (cos.f64 x)) (sin.f64 x))) (fma.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (cos.f64 x)) (fma.f64 -1/6 (pow.f64 (sin.f64 x) 3) (fma.f64 1/2 (*.f64 (cos.f64 x) (sin.f64 x)) (*.f64 1/6 (sin.f64 x))))) (exp.f64 (cos.f64 x))))) -1)
(+.f64 -1 (+.f64 (*.f64 (exp.f64 (cos.f64 x)) (+.f64 (*.f64 (pow.f64 eps 3) (fma.f64 -1/6 (pow.f64 (sin.f64 x) 3) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/2 (cos.f64 x)) 1/6)))) (*.f64 (*.f64 eps eps) (fma.f64 1/2 (pow.f64 (sin.f64 x) 2) (*.f64 -1/2 (cos.f64 x)))))) (-.f64 (exp.f64 (cos.f64 x)) (*.f64 eps (*.f64 (exp.f64 (cos.f64 x)) (sin.f64 x))))))
(+.f64 (*.f64 (exp.f64 (cos.f64 x)) (-.f64 (+.f64 (*.f64 (pow.f64 eps 3) (fma.f64 -1/6 (pow.f64 (sin.f64 x) 3) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/2 (cos.f64 x)) 1/6)))) 1) (*.f64 eps (sin.f64 x)))) (fma.f64 (fma.f64 1/2 (pow.f64 (sin.f64 x) 2) (*.f64 -1/2 (cos.f64 x))) (*.f64 (exp.f64 (cos.f64 x)) (*.f64 eps eps)) -1))
(-.f64 (exp.f64 (cos.f64 (+.f64 eps x))) 1)
(expm1.f64 (cos.f64 (+.f64 eps x)))
(-.f64 (exp.f64 (cos.f64 (+.f64 eps x))) 1)
(expm1.f64 (cos.f64 (+.f64 eps x)))
(-.f64 (exp.f64 (cos.f64 (+.f64 eps x))) 1)
(expm1.f64 (cos.f64 (+.f64 eps x)))
(-.f64 (exp.f64 (cos.f64 (+.f64 eps x))) 1)
(expm1.f64 (cos.f64 (+.f64 eps x)))
(-.f64 (exp.f64 (cos.f64 (-.f64 x (*.f64 -1 eps)))) 1)
(expm1.f64 (cos.f64 (+.f64 eps x)))
(-.f64 (exp.f64 (cos.f64 (-.f64 x (*.f64 -1 eps)))) 1)
(expm1.f64 (cos.f64 (+.f64 eps x)))
(-.f64 (exp.f64 (cos.f64 (-.f64 x (*.f64 -1 eps)))) 1)
(expm1.f64 (cos.f64 (+.f64 eps x)))
(-.f64 (exp.f64 (cos.f64 (-.f64 x (*.f64 -1 eps)))) 1)
(expm1.f64 (cos.f64 (+.f64 eps x)))
(exp.f64 (cos.f64 eps))
(+.f64 (*.f64 -1 (*.f64 (exp.f64 (cos.f64 eps)) (*.f64 (sin.f64 eps) x))) (exp.f64 (cos.f64 eps)))
(fma.f64 -1 (*.f64 (exp.f64 (cos.f64 eps)) (*.f64 x (sin.f64 eps))) (exp.f64 (cos.f64 eps)))
(-.f64 (exp.f64 (cos.f64 eps)) (*.f64 (exp.f64 (cos.f64 eps)) (*.f64 x (sin.f64 eps))))
(*.f64 (+.f64 (*.f64 (sin.f64 eps) (neg.f64 x)) 1) (exp.f64 (cos.f64 eps)))
(+.f64 (*.f64 -1 (*.f64 (exp.f64 (cos.f64 eps)) (*.f64 (sin.f64 eps) x))) (+.f64 (exp.f64 (cos.f64 eps)) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 eps) 2)) (*.f64 -1/2 (cos.f64 eps))) (*.f64 (exp.f64 (cos.f64 eps)) (pow.f64 x 2)))))
(+.f64 (fma.f64 -1 (*.f64 (exp.f64 (cos.f64 eps)) (*.f64 x (sin.f64 eps))) (exp.f64 (cos.f64 eps))) (*.f64 (fma.f64 1/2 (pow.f64 (sin.f64 eps) 2) (*.f64 (cos.f64 eps) -1/2)) (*.f64 (exp.f64 (cos.f64 eps)) (*.f64 x x))))
(-.f64 (fma.f64 (fma.f64 1/2 (pow.f64 (sin.f64 eps) 2) (*.f64 (cos.f64 eps) -1/2)) (*.f64 (exp.f64 (cos.f64 eps)) (*.f64 x x)) (exp.f64 (cos.f64 eps))) (*.f64 (exp.f64 (cos.f64 eps)) (*.f64 x (sin.f64 eps))))
(+.f64 (exp.f64 (cos.f64 eps)) (*.f64 (exp.f64 (cos.f64 eps)) (+.f64 (*.f64 (sin.f64 eps) (neg.f64 x)) (*.f64 (fma.f64 1/2 (pow.f64 (sin.f64 eps) 2) (*.f64 (cos.f64 eps) -1/2)) (*.f64 x x)))))
(+.f64 (*.f64 -1 (*.f64 (exp.f64 (cos.f64 eps)) (*.f64 (sin.f64 eps) x))) (+.f64 (*.f64 (exp.f64 (cos.f64 eps)) (*.f64 (+.f64 (*.f64 1/2 (*.f64 (cos.f64 eps) (sin.f64 eps))) (+.f64 (*.f64 1/6 (sin.f64 eps)) (*.f64 -1/6 (pow.f64 (sin.f64 eps) 3)))) (pow.f64 x 3))) (+.f64 (exp.f64 (cos.f64 eps)) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 eps) 2)) (*.f64 -1/2 (cos.f64 eps))) (*.f64 (exp.f64 (cos.f64 eps)) (pow.f64 x 2))))))
(fma.f64 -1 (*.f64 (exp.f64 (cos.f64 eps)) (*.f64 x (sin.f64 eps))) (fma.f64 (exp.f64 (cos.f64 eps)) (*.f64 (fma.f64 1/2 (*.f64 (cos.f64 eps) (sin.f64 eps)) (fma.f64 1/6 (sin.f64 eps) (*.f64 -1/6 (pow.f64 (sin.f64 eps) 3)))) (pow.f64 x 3)) (+.f64 (exp.f64 (cos.f64 eps)) (*.f64 (fma.f64 1/2 (pow.f64 (sin.f64 eps) 2) (*.f64 (cos.f64 eps) -1/2)) (*.f64 (exp.f64 (cos.f64 eps)) (*.f64 x x))))))
(-.f64 (fma.f64 (*.f64 (exp.f64 (cos.f64 eps)) (+.f64 (*.f64 -1/6 (pow.f64 (sin.f64 eps) 3)) (*.f64 (sin.f64 eps) (+.f64 (*.f64 (cos.f64 eps) 1/2) 1/6)))) (pow.f64 x 3) (fma.f64 (fma.f64 1/2 (pow.f64 (sin.f64 eps) 2) (*.f64 (cos.f64 eps) -1/2)) (*.f64 (exp.f64 (cos.f64 eps)) (*.f64 x x)) (exp.f64 (cos.f64 eps)))) (*.f64 (exp.f64 (cos.f64 eps)) (*.f64 x (sin.f64 eps))))
(-.f64 (*.f64 (exp.f64 (cos.f64 eps)) (+.f64 (*.f64 (fma.f64 1/2 (pow.f64 (sin.f64 eps) 2) (*.f64 (cos.f64 eps) -1/2)) (*.f64 x x)) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 (sin.f64 eps) 3)) (*.f64 (sin.f64 eps) (+.f64 (*.f64 (cos.f64 eps) 1/2) 1/6))) (pow.f64 x 3)) 1))) (*.f64 (exp.f64 (cos.f64 eps)) (*.f64 x (sin.f64 eps))))
(exp.f64 (cos.f64 (+.f64 eps x)))
(exp.f64 (cos.f64 (+.f64 eps x)))
(exp.f64 (cos.f64 (+.f64 eps x)))
(exp.f64 (cos.f64 (+.f64 eps x)))
(exp.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))))
(exp.f64 (cos.f64 (+.f64 eps x)))
(exp.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))))
(exp.f64 (cos.f64 (+.f64 eps x)))
(exp.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))))
(exp.f64 (cos.f64 (+.f64 eps x)))
(exp.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))))
(exp.f64 (cos.f64 (+.f64 eps x)))
(exp.f64 (cos.f64 x))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (sin.f64 x) (exp.f64 (cos.f64 x))))) (exp.f64 (cos.f64 x)))
(fma.f64 -1 (*.f64 eps (*.f64 (exp.f64 (cos.f64 x)) (sin.f64 x))) (exp.f64 (cos.f64 x)))
(-.f64 (exp.f64 (cos.f64 x)) (*.f64 eps (*.f64 (exp.f64 (cos.f64 x)) (sin.f64 x))))
(*.f64 (+.f64 (*.f64 eps (neg.f64 (sin.f64 x))) 1) (exp.f64 (cos.f64 x)))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (sin.f64 x) (exp.f64 (cos.f64 x))))) (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (cos.f64 x)) (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 x) 2)) (*.f64 -1/2 (cos.f64 x))))) (exp.f64 (cos.f64 x))))
(fma.f64 -1 (*.f64 eps (*.f64 (exp.f64 (cos.f64 x)) (sin.f64 x))) (fma.f64 (*.f64 eps eps) (*.f64 (exp.f64 (cos.f64 x)) (fma.f64 1/2 (pow.f64 (sin.f64 x) 2) (*.f64 -1/2 (cos.f64 x)))) (exp.f64 (cos.f64 x))))
(-.f64 (*.f64 (+.f64 (*.f64 (*.f64 eps eps) (fma.f64 1/2 (pow.f64 (sin.f64 x) 2) (*.f64 -1/2 (cos.f64 x)))) 1) (exp.f64 (cos.f64 x))) (*.f64 eps (*.f64 (exp.f64 (cos.f64 x)) (sin.f64 x))))
(*.f64 (exp.f64 (cos.f64 x)) (-.f64 (+.f64 (*.f64 eps (*.f64 eps (fma.f64 1/2 (pow.f64 (sin.f64 x) 2) (*.f64 -1/2 (cos.f64 x))))) 1) (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (sin.f64 x) (exp.f64 (cos.f64 x))))) (+.f64 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (cos.f64 x)) (+.f64 (*.f64 -1/6 (pow.f64 (sin.f64 x) 3)) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 x) (sin.f64 x))) (*.f64 1/6 (sin.f64 x)))))) (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (cos.f64 x)) (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 x) 2)) (*.f64 -1/2 (cos.f64 x))))) (exp.f64 (cos.f64 x)))))
(fma.f64 -1 (*.f64 eps (*.f64 (exp.f64 (cos.f64 x)) (sin.f64 x))) (fma.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (cos.f64 x)) (fma.f64 -1/6 (pow.f64 (sin.f64 x) 3) (fma.f64 1/2 (*.f64 (cos.f64 x) (sin.f64 x)) (*.f64 1/6 (sin.f64 x))))) (fma.f64 (*.f64 eps eps) (*.f64 (exp.f64 (cos.f64 x)) (fma.f64 1/2 (pow.f64 (sin.f64 x) 2) (*.f64 -1/2 (cos.f64 x)))) (exp.f64 (cos.f64 x)))))
(+.f64 (*.f64 (exp.f64 (cos.f64 x)) (+.f64 (*.f64 (pow.f64 eps 3) (fma.f64 -1/6 (pow.f64 (sin.f64 x) 3) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/2 (cos.f64 x)) 1/6)))) (*.f64 (*.f64 eps eps) (fma.f64 1/2 (pow.f64 (sin.f64 x) 2) (*.f64 -1/2 (cos.f64 x)))))) (-.f64 (exp.f64 (cos.f64 x)) (*.f64 eps (*.f64 (exp.f64 (cos.f64 x)) (sin.f64 x)))))
(fma.f64 (*.f64 eps eps) (*.f64 (exp.f64 (cos.f64 x)) (fma.f64 1/2 (pow.f64 (sin.f64 x) 2) (*.f64 -1/2 (cos.f64 x)))) (*.f64 (exp.f64 (cos.f64 x)) (-.f64 (+.f64 (*.f64 (pow.f64 eps 3) (fma.f64 -1/6 (pow.f64 (sin.f64 x) 3) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/2 (cos.f64 x)) 1/6)))) 1) (*.f64 eps (sin.f64 x)))))
(exp.f64 (cos.f64 (+.f64 eps x)))
(exp.f64 (cos.f64 (+.f64 eps x)))
(exp.f64 (cos.f64 (+.f64 eps x)))
(exp.f64 (cos.f64 (+.f64 eps x)))
(exp.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))))
(exp.f64 (cos.f64 (+.f64 eps x)))
(exp.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))))
(exp.f64 (cos.f64 (+.f64 eps x)))
(exp.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))))
(exp.f64 (cos.f64 (+.f64 eps x)))
(exp.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))))
(exp.f64 (cos.f64 (+.f64 eps x)))

eval507.0ms (2.7%)

Compiler

Compiled 25426 to 13760 computations (45.9% saved)

prune341.0ms (1.8%)

Pruning

89 alts after pruning (84 fresh and 5 done)

PrunedKeptTotal
New87627903
Fresh155772
Picked101
Done156
Total89389982
Error
0.1b
Counts
982 → 89
Alt Table
Click to see full alt table
StatusErrorProgram
28.9b
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (sin.f64 (*.f64 1/2 eps))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))) -2)
26.1b
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
26.4b
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))) (exp.f64 (cos.f64 x))))
42.6b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 (*.f64 eps eps) eps) 1/2))) -2)
38.7b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))
39.2b
(-.f64 (pow.f64 (+.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) 1)) 1) (cos.f64 x))
56.2b
(cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 6)))
40.3b
(+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps))))
39.3b
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
50.5b
(-.f64 (pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 2) (cos.f64 x))
32.3b
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x eps) x)))) 2)) -2)
43.6b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (/.f64 eps (*.f64 eps eps))) 1/2))) -2)
39.7b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 1))
33.8b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (pow.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) 2)))
51.3b
(*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps 1/24) -1/2)))
51.1b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (pow.f64 (sqrt.f64 eps) 2) 1/2))) -2)
51.8b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (/.f64 (*.f64 eps eps) (pow.f64 eps 3))) 1/2))) -2)
39.5b
(*.f64 (/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps)))))) -2)
31.6b
(-.f64 (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (+.f64 -1/2 (*.f64 eps (*.f64 eps 1/24)))) (*.f64 (sin.f64 x) (fma.f64 (pow.f64 eps 3) -1/6 eps)))
39.0b
(log.f64 (/.f64 (exp.f64 (cos.f64 eps)) (exp.f64 (cos.f64 x))))
26.1b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))))
14.5b
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x eps) x))))) 3) -2)
46.4b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (pow.f64 (cbrt.f64 eps) 3) 1/2))) -2)
✓39.5b
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
26.1b
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
33.7b
(-.f64 (fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (cos.f64 x))
▶57.2b
(-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 eps eps))) 1)
39.2b
(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
49.8b
(-.f64 (exp.f64 (log.f64 (cos.f64 eps))) (cos.f64 x))
46.7b
(*.f64 (exp.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 1/2 eps))))) -2)
39.1b
(-.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 3) (cos.f64 x))
33.2b
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)
✓39.4b
(-.f64 (cos.f64 eps) 1)
40.6b
(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
35.0b
(+.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (-.f64 (*.f64 x (fma.f64 (cos.f64 eps) -1/2 1/2)) (sin.f64 eps))))
39.2b
(log.f64 (/.f64 (exp.f64 (cos.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 (cos.f64 x)))))
39.5b
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
43.9b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (fma.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (/.f64 1 (-.f64 x eps)) (neg.f64 x)) 1/2))) -2)
39.1b
(*.f64 1/3 (*.f64 3 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
26.1b
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
49.9b
(-.f64 (pow.f64 (pow.f64 (cos.f64 eps) 1/3) 3) (cos.f64 x))
33.9b
(fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
31.4b
(*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))
38.9b
(-.f64 (cos.f64 eps) (cos.f64 x))
49.2b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (expm1.f64 (log1p.f64 eps)) 1/2))) -2)
26.1b
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (cos.f64 x))
33.2b
(*.f64 (expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) -2)
56.2b
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
▶36.7b
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3)) -2)
▶13.4b
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 (+.f64 eps x)))) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps x))) (sin.f64 (*.f64 1/2 x))))) -2)
45.7b
(*.f64 eps (fma.f64 -1/2 eps (neg.f64 x)))
31.0b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (+.f64 (*.f64 1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))) -2)
36.8b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 x)) -2)
✓39.5b
(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
37.9b
(*.f64 (sin.f64 x) (neg.f64 eps))
26.7b
(*.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x eps) x)))))) -2)
39.6b
(*.f64 (log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))) -2)
▶39.2b
(log.f64 (/.f64 (exp.f64 (cos.f64 (+.f64 x eps))) (exp.f64 (cos.f64 x))))
45.7b
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
26.6b
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
26.2b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) 3) (neg.f64 (cos.f64 x)))))
21.3b
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x eps) 1/2)) (cos.f64 (*.f64 x 1/2))) 3) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (sin.f64 (*.f64 x 1/2))) 3)) (sin.f64 (*.f64 eps 1/2))) (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x eps) 1/2)) (cos.f64 (*.f64 x 1/2))) 2) (*.f64 (*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (sin.f64 (*.f64 x 1/2))) (-.f64 (*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (sin.f64 (*.f64 x 1/2))) (*.f64 (sin.f64 (*.f64 (+.f64 x eps) 1/2)) (cos.f64 (*.f64 x 1/2))))))) -2)
39.7b
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
48.9b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (cbrt.f64 (pow.f64 eps 3)) 1/2))) -2)
39.1b
(*.f64 3 (*.f64 1/3 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
43.8b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (*.f64 (*.f64 eps eps) (/.f64 1 eps)) 1/2))) -2)
52.7b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 (pow.f64 eps 3) (*.f64 eps eps)) 1/2))) -2)
✓39.1b
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
26.6b
(-.f64 (fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (cos.f64 x))
39.5b
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) 2) 3) (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
✓51.1b
(*.f64 -1/2 (*.f64 eps eps))
26.8b
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
26.1b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3)) (neg.f64 (cos.f64 x)))))
33.0b
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x eps) x))) 3))) -2)
26.9b
(-.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) 3) (cos.f64 x))
33.9b
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) 3) -2)
39.8b
(cbrt.f64 (log1p.f64 (expm1.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))))
15.2b
(*.f64 (pow.f64 (cbrt.f64 -2) 3) (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))
14.2b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (+.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x eps) 1/2)) (cos.f64 (*.f64 x 1/2))) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (sin.f64 (*.f64 x 1/2))) 3)))) -2)
57.1b
0
51.0b
(*.f64 eps (*.f64 eps (*.f64 -1/2 (cos.f64 x))))
▶39.5b
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
37.9b
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 eps (cos.f64 (*.f64 1/2 x)))) -2)
39.1b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 1/2 eps)))) 1)) -2)
13.7b
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))) -2)
39.5b
(*.f64 (log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x eps) x))))))) -2)
31.6b
(fma.f64 (cos.f64 x) (*.f64 eps (*.f64 eps -1/2)) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))
41.6b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x eps) 3)) (fma.f64 x x (*.f64 (+.f64 x eps) eps))) 1/2))) -2)
39.1b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (log.f64 (exp.f64 (sin.f64 (*.f64 1/2 eps))))) -2)
Compiler

Compiled 3004 to 2216 computations (26.2% saved)

localize91.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps x))) (sin.f64 (*.f64 1/2 x)))
✓0.3b
(*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 (+.f64 eps x)))) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps x))) (sin.f64 (*.f64 1/2 x)))))
✓3.2b
(sin.f64 (*.f64 1/2 (+.f64 eps x)))
✓3.4b
(cos.f64 (*.f64 1/2 (+.f64 eps x)))
Compiler

Compiled 147 to 95 computations (35.4% saved)

series8.0ms (0%)

Counts
4 → 64
Calls

24 calls:

TimeVariablePointExpression
0.0ms
eps
@0
(*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 (+.f64 eps x)))) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps x))) (sin.f64 (*.f64 1/2 x)))))
0.0ms
x
@inf
(*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 (+.f64 eps x)))) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps x))) (sin.f64 (*.f64 1/2 x)))))
0.0ms
x
@-inf
(*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 (+.f64 eps x)))) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps x))) (sin.f64 (*.f64 1/2 x)))))
0.0ms
eps
@-inf
(*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 (+.f64 eps x)))) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps x))) (sin.f64 (*.f64 1/2 x)))))
0.0ms
eps
@inf
(*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 (+.f64 eps x)))) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps x))) (sin.f64 (*.f64 1/2 x)))))

rewrite101.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
667×fma-def_binary64
359×fma-neg_binary64
333×expm1-udef_binary64
333×log1p-udef_binary64
279×log-pow_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01777
136477
2501256
Stop Event
1×node limit
Counts
4 → 122
Calls
Call 1
Inputs
(cos.f64 (*.f64 1/2 (+.f64 eps x)))
(sin.f64 (*.f64 1/2 (+.f64 eps x)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 (+.f64 eps x)))) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps x))) (sin.f64 (*.f64 1/2 x)))))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps x))) (sin.f64 (*.f64 1/2 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (+.f64 eps x))))) (cos.f64 1)) (*.f64 (sin.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (+.f64 eps x))))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (+.f64 eps x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 x))) (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 1/2 (+.f64 eps x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (+.f64 eps x)))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (+.f64 eps x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (+.f64 eps x)))) 2) (cbrt.f64 (cos.f64 (*.f64 1/2 (+.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (+.f64 eps x)))) (sqrt.f64 (cos.f64 (*.f64 1/2 (+.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (*.f64 1/2 (+.f64 eps x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 eps x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (*.f64 1/2 (+.f64 eps x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (*.f64 1/2 (+.f64 eps x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 eps x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (*.f64 1/2 (+.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 (*.f64 1/2 (+.f64 eps x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 eps x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (*.f64 1/2 (+.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (*.f64 1/2 (+.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (*.f64 1/2 (+.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 1/2 (+.f64 eps x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 x)) (neg.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 eps))) (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 1/2 (+.f64 eps x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (+.f64 eps x))))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (+.f64 eps x))))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 1/2 (+.f64 eps x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (*.f64 1/2 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (+.f64 eps x)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (+.f64 eps x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (+.f64 eps x)))) 2) (cbrt.f64 (sin.f64 (*.f64 1/2 (+.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (+.f64 eps x)))) (sqrt.f64 (sin.f64 (*.f64 1/2 (+.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (+.f64 eps x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (+.f64 eps x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 (*.f64 1/2 (+.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 1/2 (+.f64 eps x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 (*.f64 1/2 (+.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 (*.f64 1/2 (+.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 (*.f64 1/2 (+.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 1/2 (+.f64 eps x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 x))))))))
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simplify98.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
758×neg-mul-1_binary64
532×distribute-rgt-neg-out_binary64
446×distribute-lft-neg-out_binary64
391×+-commutative_binary64
382×unsub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01501862
14701761
215261610
333231577
478221577
Stop Event
1×node limit
Counts
186 → 193
Calls
Call 1
Inputs
(cos.f64 (*.f64 1/2 x))
(+.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 -1/2 (*.f64 eps (sin.f64 (*.f64 1/2 x)))))
(+.f64 (cos.f64 (*.f64 1/2 x)) (+.f64 (*.f64 -1/2 (*.f64 eps (sin.f64 (*.f64 1/2 x)))) (*.f64 -1/8 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 eps 2)))))
(+.f64 (cos.f64 (*.f64 1/2 x)) (+.f64 (*.f64 1/48 (*.f64 (pow.f64 eps 3) (sin.f64 (*.f64 1/2 x)))) (+.f64 (*.f64 -1/2 (*.f64 eps (sin.f64 (*.f64 1/2 x)))) (*.f64 -1/8 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 eps 2))))))
(cos.f64 (*.f64 1/2 (-.f64 x (*.f64 -1 eps))))
(cos.f64 (*.f64 1/2 (-.f64 x (*.f64 -1 eps))))
(cos.f64 (*.f64 1/2 (-.f64 x (*.f64 -1 eps))))
(cos.f64 (*.f64 1/2 (-.f64 x (*.f64 -1 eps))))
(cos.f64 (*.f64 1/2 eps))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) x)))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 -1/8 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 2))) (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) x))))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 -1/8 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 2))) (+.f64 (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) x)) (*.f64 1/48 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 3))))))
(cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -1 x))))
(cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -1 x))))
(cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -1 x))))
(cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -1 x))))
(sin.f64 (*.f64 1/2 x))
(+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 x)) eps)) (sin.f64 (*.f64 1/2 x)))
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(sin.f64 (*.f64 1/2 (-.f64 x (*.f64 -1 eps))))
(sin.f64 (*.f64 1/2 (-.f64 x (*.f64 -1 eps))))
(sin.f64 (*.f64 1/2 (-.f64 x (*.f64 -1 eps))))
(sin.f64 (*.f64 1/2 (-.f64 x (*.f64 -1 eps))))
(sin.f64 (*.f64 1/2 eps))
(+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) x)))
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(sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -1 x))))
(sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -1 x))))
(sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -1 x))))
(sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -1 x))))
(*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 eps (sin.f64 (*.f64 1/2 x))))
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(*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 (-.f64 x (*.f64 -1 eps))))) (*.f64 (cos.f64 (*.f64 1/2 (-.f64 x (*.f64 -1 eps)))) (sin.f64 (*.f64 1/2 x)))))
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(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 -1/2 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 2)))))
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (+.f64 (*.f64 -1/24 (cos.f64 (*.f64 1/2 eps))) (*.f64 -1/8 (cos.f64 (*.f64 1/2 eps)))) (pow.f64 x 3))) (*.f64 -1/2 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 2))))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -1 x))))) (*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -1 x)))) (sin.f64 (*.f64 1/2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -1 x))))) (*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -1 x)))) (sin.f64 (*.f64 1/2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -1 x))))) (*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -1 x)))) (sin.f64 (*.f64 1/2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -1 x))))) (*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -1 x)))) (sin.f64 (*.f64 1/2 x)))))
(*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))
(+.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))) (*.f64 -1/2 (*.f64 eps (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))))
(+.f64 (*.f64 -1/8 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (pow.f64 eps 2) (sin.f64 (*.f64 1/2 x))))) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))) (*.f64 -1/2 (*.f64 eps (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)))))
(+.f64 (*.f64 1/48 (*.f64 (pow.f64 eps 3) (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))) (+.f64 (*.f64 -1/8 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (pow.f64 eps 2) (sin.f64 (*.f64 1/2 x))))) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))) (*.f64 -1/2 (*.f64 eps (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))))))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 x (*.f64 -1 eps)))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 x (*.f64 -1 eps)))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 x (*.f64 -1 eps)))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 x (*.f64 -1 eps)))) (sin.f64 (*.f64 1/2 x)))
(*.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) x))
(+.f64 (*.f64 -1/4 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 2))) (*.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) x)))
(+.f64 (*.f64 -1/4 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 2))) (+.f64 (*.f64 (+.f64 (*.f64 -1/48 (cos.f64 (*.f64 1/2 eps))) (*.f64 -1/16 (cos.f64 (*.f64 1/2 eps)))) (pow.f64 x 3)) (*.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) x))))
(+.f64 (*.f64 -1/4 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 2))) (+.f64 (*.f64 1/48 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 4))) (+.f64 (*.f64 (+.f64 (*.f64 -1/48 (cos.f64 (*.f64 1/2 eps))) (*.f64 -1/16 (cos.f64 (*.f64 1/2 eps)))) (pow.f64 x 3)) (*.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) x)))))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -1 x)))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -1 x)))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -1 x)))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -1 x)))) (sin.f64 (*.f64 1/2 x)))
Outputs
(cos.f64 (*.f64 1/2 x))
(+.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 -1/2 (*.f64 eps (sin.f64 (*.f64 1/2 x)))))
(fma.f64 -1/2 (*.f64 eps (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(+.f64 (cos.f64 (*.f64 1/2 x)) (+.f64 (*.f64 -1/2 (*.f64 eps (sin.f64 (*.f64 1/2 x)))) (*.f64 -1/8 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 eps 2)))))
(+.f64 (cos.f64 (*.f64 1/2 x)) (fma.f64 -1/2 (*.f64 eps (sin.f64 (*.f64 1/2 x))) (*.f64 (*.f64 -1/8 (cos.f64 (*.f64 1/2 x))) (*.f64 eps eps))))
(+.f64 (cos.f64 (*.f64 1/2 x)) (fma.f64 -1/2 (*.f64 eps (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 -1/8 (*.f64 eps eps)))))
(+.f64 (*.f64 -1/2 (*.f64 eps (sin.f64 (*.f64 1/2 x)))) (*.f64 (+.f64 1 (*.f64 eps (*.f64 eps -1/8))) (cos.f64 (*.f64 1/2 x))))
(+.f64 (*.f64 eps (*.f64 -1/2 (sin.f64 (*.f64 1/2 x)))) (*.f64 (+.f64 1 (*.f64 eps (*.f64 eps -1/8))) (cos.f64 (*.f64 1/2 x))))
(+.f64 (cos.f64 (*.f64 1/2 x)) (+.f64 (*.f64 1/48 (*.f64 (pow.f64 eps 3) (sin.f64 (*.f64 1/2 x)))) (+.f64 (*.f64 -1/2 (*.f64 eps (sin.f64 (*.f64 1/2 x)))) (*.f64 -1/8 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 eps 2))))))
(+.f64 (cos.f64 (*.f64 1/2 x)) (fma.f64 1/48 (*.f64 (sin.f64 (*.f64 1/2 x)) (pow.f64 eps 3)) (fma.f64 -1/2 (*.f64 eps (sin.f64 (*.f64 1/2 x))) (*.f64 (*.f64 -1/8 (cos.f64 (*.f64 1/2 x))) (*.f64 eps eps)))))
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) (+.f64 (*.f64 1/48 (pow.f64 eps 3)) (*.f64 -1/2 eps))) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 -1/8 (*.f64 eps eps))) (cos.f64 (*.f64 1/2 x))))
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) (+.f64 (*.f64 -1/2 eps) (*.f64 1/48 (pow.f64 eps 3)))) (*.f64 (+.f64 1 (*.f64 eps (*.f64 eps -1/8))) (cos.f64 (*.f64 1/2 x))))
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) (+.f64 (*.f64 1/48 (pow.f64 eps 3)) (*.f64 -1/2 eps))) (*.f64 (+.f64 1 (*.f64 eps (*.f64 eps -1/8))) (cos.f64 (*.f64 1/2 x))))
(cos.f64 (*.f64 1/2 (-.f64 x (*.f64 -1 eps))))
(cos.f64 (*.f64 1/2 (-.f64 x (neg.f64 eps))))
(cos.f64 (*.f64 1/2 (+.f64 x eps)))
(cos.f64 (*.f64 1/2 (-.f64 x (*.f64 -1 eps))))
(cos.f64 (*.f64 1/2 (-.f64 x (neg.f64 eps))))
(cos.f64 (*.f64 1/2 (+.f64 x eps)))
(cos.f64 (*.f64 1/2 (-.f64 x (*.f64 -1 eps))))
(cos.f64 (*.f64 1/2 (-.f64 x (neg.f64 eps))))
(cos.f64 (*.f64 1/2 (+.f64 x eps)))
(cos.f64 (*.f64 1/2 (-.f64 x (*.f64 -1 eps))))
(cos.f64 (*.f64 1/2 (-.f64 x (neg.f64 eps))))
(cos.f64 (*.f64 1/2 (+.f64 x eps)))
(cos.f64 (*.f64 1/2 eps))
(cos.f64 (*.f64 -1/2 eps))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) x)))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 -1/2 (*.f64 x (sin.f64 (*.f64 1/2 eps)))))
(fma.f64 -1/2 (*.f64 x (sin.f64 (*.f64 1/2 eps))) (cos.f64 (*.f64 1/2 eps)))
(fma.f64 -1/2 (*.f64 x (sin.f64 (*.f64 1/2 eps))) (cos.f64 (*.f64 -1/2 eps)))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 -1/8 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 2))) (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) x))))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (fma.f64 -1/8 (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x x)) (*.f64 -1/2 (*.f64 x (sin.f64 (*.f64 1/2 eps))))))
(+.f64 (fma.f64 -1/2 (*.f64 x (sin.f64 (*.f64 1/2 eps))) (cos.f64 (*.f64 1/2 eps))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 (*.f64 x x) -1/8)))
(+.f64 (*.f64 -1/2 (*.f64 x (sin.f64 (*.f64 1/2 eps)))) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 x x)) 1) (cos.f64 (*.f64 1/2 eps))))
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x -1/2)) (*.f64 (+.f64 1 (*.f64 -1/8 (*.f64 x x))) (cos.f64 (*.f64 -1/2 eps))))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 -1/8 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 2))) (+.f64 (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) x)) (*.f64 1/48 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 3))))))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (fma.f64 -1/8 (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x x)) (fma.f64 -1/2 (*.f64 x (sin.f64 (*.f64 1/2 eps))) (*.f64 (*.f64 1/48 (sin.f64 (*.f64 1/2 eps))) (pow.f64 x 3)))))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (fma.f64 -1/8 (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x x)) (fma.f64 -1/2 (*.f64 x (sin.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (pow.f64 x 3) 1/48)))))
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 x -1/2) (*.f64 1/48 (pow.f64 x 3)))) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 x x)) 1) (cos.f64 (*.f64 1/2 eps))))
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 1/48 (pow.f64 x 3)) (*.f64 x -1/2))) (*.f64 (+.f64 1 (*.f64 -1/8 (*.f64 x x))) (cos.f64 (*.f64 -1/2 eps))))
(cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -1 x))))
(cos.f64 (*.f64 1/2 (-.f64 x (neg.f64 eps))))
(cos.f64 (*.f64 1/2 (+.f64 x eps)))
(cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -1 x))))
(cos.f64 (*.f64 1/2 (-.f64 x (neg.f64 eps))))
(cos.f64 (*.f64 1/2 (+.f64 x eps)))
(cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -1 x))))
(cos.f64 (*.f64 1/2 (-.f64 x (neg.f64 eps))))
(cos.f64 (*.f64 1/2 (+.f64 x eps)))
(cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -1 x))))
(cos.f64 (*.f64 1/2 (-.f64 x (neg.f64 eps))))
(cos.f64 (*.f64 1/2 (+.f64 x eps)))
(sin.f64 (*.f64 1/2 x))
(+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 x)) eps)) (sin.f64 (*.f64 1/2 x)))
(fma.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 x)) eps) (sin.f64 (*.f64 1/2 x)))
(+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 x)) eps)) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 eps 2) (sin.f64 (*.f64 1/2 x)))) (sin.f64 (*.f64 1/2 x))))
(fma.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 x)) eps) (fma.f64 -1/8 (*.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 eps eps)) (sin.f64 (*.f64 1/2 x))))
(fma.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 x)) eps) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 eps eps)) 1) (sin.f64 (*.f64 1/2 x))))
(fma.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 x)) eps) (*.f64 (sin.f64 (*.f64 1/2 x)) (+.f64 1 (*.f64 eps (*.f64 eps -1/8)))))
(+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 x)) eps)) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 eps 2) (sin.f64 (*.f64 1/2 x)))) (+.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 -1/48 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 eps 3))))))
(fma.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 x)) eps) (fma.f64 -1/8 (*.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 eps eps)) (+.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 -1/48 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 eps 3))))))
(+.f64 (fma.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 x)) eps) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 eps eps)) 1) (sin.f64 (*.f64 1/2 x)))) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (pow.f64 eps 3) -1/48)))
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) (+.f64 1 (*.f64 eps (*.f64 eps -1/8)))) (*.f64 (cos.f64 (*.f64 1/2 x)) (+.f64 (*.f64 (pow.f64 eps 3) -1/48) (*.f64 1/2 eps))))
(sin.f64 (*.f64 1/2 (-.f64 x (*.f64 -1 eps))))
(sin.f64 (*.f64 1/2 (-.f64 x (neg.f64 eps))))
(sin.f64 (*.f64 1/2 (+.f64 x eps)))
(sin.f64 (*.f64 1/2 (-.f64 x (*.f64 -1 eps))))
(sin.f64 (*.f64 1/2 (-.f64 x (neg.f64 eps))))
(sin.f64 (*.f64 1/2 (+.f64 x eps)))
(sin.f64 (*.f64 1/2 (-.f64 x (*.f64 -1 eps))))
(sin.f64 (*.f64 1/2 (-.f64 x (neg.f64 eps))))
(sin.f64 (*.f64 1/2 (+.f64 x eps)))
(sin.f64 (*.f64 1/2 (-.f64 x (*.f64 -1 eps))))
(sin.f64 (*.f64 1/2 (-.f64 x (neg.f64 eps))))
(sin.f64 (*.f64 1/2 (+.f64 x eps)))
(sin.f64 (*.f64 1/2 eps))
(+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) x)))
(+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (*.f64 1/2 (cos.f64 (*.f64 1/2 eps))) x))
(fma.f64 (*.f64 1/2 (cos.f64 (*.f64 1/2 eps))) x (sin.f64 (*.f64 1/2 eps)))
(fma.f64 1/2 (*.f64 x (cos.f64 (*.f64 -1/2 eps))) (sin.f64 (*.f64 1/2 eps)))
(+.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 -1/8 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 2))) (*.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) x))))
(+.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 -1/8 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x x)) (*.f64 (*.f64 1/2 (cos.f64 (*.f64 1/2 eps))) x)))
(+.f64 (fma.f64 (*.f64 1/2 (cos.f64 (*.f64 1/2 eps))) x (sin.f64 (*.f64 1/2 eps))) (*.f64 -1/8 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x x))))
(+.f64 (*.f64 x (*.f64 1/2 (cos.f64 (*.f64 1/2 eps)))) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 x x)) 1) (sin.f64 (*.f64 1/2 eps))))
(+.f64 (*.f64 (*.f64 1/2 x) (cos.f64 (*.f64 -1/2 eps))) (*.f64 (+.f64 1 (*.f64 -1/8 (*.f64 x x))) (sin.f64 (*.f64 1/2 eps))))
(+.f64 (*.f64 -1/48 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3))) (+.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 -1/8 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 2))) (*.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) x)))))
(fma.f64 -1/48 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3)) (+.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 -1/8 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x x)) (*.f64 (*.f64 1/2 (cos.f64 (*.f64 1/2 eps))) x))))
(+.f64 (fma.f64 1/2 (*.f64 x (cos.f64 (*.f64 1/2 eps))) (*.f64 -1/8 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x x)))) (fma.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) -1/48) (pow.f64 x 3) (sin.f64 (*.f64 1/2 eps))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/8 (*.f64 x x)) 1) (sin.f64 (*.f64 1/2 eps))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 1/2 x) (*.f64 (pow.f64 x 3) -1/48))))
(+.f64 (*.f64 (+.f64 1 (*.f64 -1/8 (*.f64 x x))) (sin.f64 (*.f64 1/2 eps))) (*.f64 (cos.f64 (*.f64 -1/2 eps)) (+.f64 (*.f64 1/2 x) (*.f64 (pow.f64 x 3) -1/48))))
(sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -1 x))))
(sin.f64 (*.f64 1/2 (-.f64 x (neg.f64 eps))))
(sin.f64 (*.f64 1/2 (+.f64 x eps)))
(sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -1 x))))
(sin.f64 (*.f64 1/2 (-.f64 x (neg.f64 eps))))
(sin.f64 (*.f64 1/2 (+.f64 x eps)))
(sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -1 x))))
(sin.f64 (*.f64 1/2 (-.f64 x (neg.f64 eps))))
(sin.f64 (*.f64 1/2 (+.f64 x eps)))
(sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -1 x))))
(sin.f64 (*.f64 1/2 (-.f64 x (neg.f64 eps))))
(sin.f64 (*.f64 1/2 (+.f64 x eps)))
(*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 eps (sin.f64 (*.f64 1/2 x))))
(*.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) eps))
(*.f64 eps (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) (*.f64 1/2 (pow.f64 (cos.f64 (*.f64 1/2 x)) 2))))) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 eps (sin.f64 (*.f64 1/2 x)))))
(fma.f64 1/2 (*.f64 (*.f64 eps eps) (fma.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (*.f64 1/2 (pow.f64 (cos.f64 (*.f64 1/2 x)) 2)))) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 eps (sin.f64 (*.f64 1/2 x)))))
(fma.f64 1/2 (*.f64 eps (*.f64 eps (fma.f64 1/2 (pow.f64 (cos.f64 (*.f64 1/2 x)) 2) (*.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))))) (*.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) eps)))
(fma.f64 1/2 (*.f64 (*.f64 eps eps) (fma.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (*.f64 1/2 (pow.f64 (cos.f64 (*.f64 1/2 x)) 2)))) (*.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) eps)))
(fma.f64 1/2 (*.f64 (*.f64 eps eps) (fma.f64 1/2 (pow.f64 (cos.f64 (*.f64 1/2 x)) 2) (*.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)))) (*.f64 eps (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) (*.f64 1/2 (pow.f64 (cos.f64 (*.f64 1/2 x)) 2))))) (+.f64 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/24 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) (*.f64 -1/8 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))))) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 eps (sin.f64 (*.f64 1/2 x))))))
(fma.f64 1/2 (*.f64 (*.f64 eps eps) (fma.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (*.f64 1/2 (pow.f64 (cos.f64 (*.f64 1/2 x)) 2)))) (fma.f64 (pow.f64 eps 3) (*.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))) -1/6) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 eps (sin.f64 (*.f64 1/2 x))))))
(fma.f64 (*.f64 1/2 (*.f64 eps eps)) (fma.f64 1/2 (pow.f64 (cos.f64 (*.f64 1/2 x)) 2) (*.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))) (fma.f64 (pow.f64 eps 3) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 1/2 x)) -1/6)) (*.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) eps))))
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(*.f64 (sin.f64 (*.f64 1/2 x)) (+.f64 (*.f64 eps (*.f64 -1/2 (sin.f64 (*.f64 1/2 x)))) (*.f64 (+.f64 1 (*.f64 eps (*.f64 eps -1/8))) (cos.f64 (*.f64 1/2 x)))))
(+.f64 (*.f64 1/48 (*.f64 (pow.f64 eps 3) (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))) (+.f64 (*.f64 -1/8 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (pow.f64 eps 2) (sin.f64 (*.f64 1/2 x))))) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))) (*.f64 -1/2 (*.f64 eps (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))))))
(fma.f64 1/48 (*.f64 (pow.f64 eps 3) (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) (fma.f64 -1/8 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 eps eps))) (fma.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)) (*.f64 -1/2 (*.f64 eps (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))))))
(fma.f64 1/48 (*.f64 (pow.f64 eps 3) (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) (fma.f64 -1/8 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 eps eps))) (fma.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (*.f64 -1/2 eps)))))
(+.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 1/2 x)) (+.f64 1 (*.f64 eps (*.f64 eps -1/8))))) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (+.f64 (*.f64 -1/2 eps) (*.f64 1/48 (pow.f64 eps 3)))))
(*.f64 (sin.f64 (*.f64 1/2 x)) (+.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) (+.f64 (*.f64 1/48 (pow.f64 eps 3)) (*.f64 -1/2 eps))) (*.f64 (+.f64 1 (*.f64 eps (*.f64 eps -1/8))) (cos.f64 (*.f64 1/2 x)))))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 x (*.f64 -1 eps)))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 (-.f64 x (neg.f64 eps)))))
(*.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 (+.f64 x eps))))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 x (*.f64 -1 eps)))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 (-.f64 x (neg.f64 eps)))))
(*.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 (+.f64 x eps))))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 x (*.f64 -1 eps)))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 (-.f64 x (neg.f64 eps)))))
(*.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 (+.f64 x eps))))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 x (*.f64 -1 eps)))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 (-.f64 x (neg.f64 eps)))))
(*.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 (+.f64 x eps))))
(*.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) x))
(*.f64 (*.f64 1/2 (cos.f64 (*.f64 1/2 eps))) x)
(*.f64 x (*.f64 1/2 (cos.f64 (*.f64 1/2 eps))))
(*.f64 (*.f64 1/2 x) (cos.f64 (*.f64 -1/2 eps)))
(+.f64 (*.f64 -1/4 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 2))) (*.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) x)))
(fma.f64 -1/4 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x x)) (*.f64 (*.f64 1/2 (cos.f64 (*.f64 1/2 eps))) x))
(fma.f64 (*.f64 1/2 (cos.f64 (*.f64 1/2 eps))) x (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (*.f64 x x) -1/4)))
(*.f64 x (+.f64 (*.f64 1/2 (cos.f64 (*.f64 1/2 eps))) (*.f64 x (*.f64 (sin.f64 (*.f64 1/2 eps)) -1/4))))
(*.f64 x (+.f64 (*.f64 1/2 (cos.f64 (*.f64 -1/2 eps))) (*.f64 x (*.f64 (sin.f64 (*.f64 1/2 eps)) -1/4))))
(+.f64 (*.f64 -1/4 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 2))) (+.f64 (*.f64 (+.f64 (*.f64 -1/48 (cos.f64 (*.f64 1/2 eps))) (*.f64 -1/16 (cos.f64 (*.f64 1/2 eps)))) (pow.f64 x 3)) (*.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) x))))
(fma.f64 -1/4 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x x)) (fma.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) -1/12) (pow.f64 x 3) (*.f64 (*.f64 1/2 (cos.f64 (*.f64 1/2 eps))) x)))
(fma.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x x)) -1/4 (fma.f64 1/2 (*.f64 x (cos.f64 (*.f64 1/2 eps))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 -1/12 (pow.f64 x 3)))))
(fma.f64 (*.f64 x (*.f64 x (sin.f64 (*.f64 1/2 eps)))) -1/4 (*.f64 (cos.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 1/2 x) (*.f64 (pow.f64 x 3) -1/12))))
(fma.f64 (*.f64 x (*.f64 x (sin.f64 (*.f64 1/2 eps)))) -1/4 (*.f64 (cos.f64 (*.f64 -1/2 eps)) (+.f64 (*.f64 1/2 x) (*.f64 (pow.f64 x 3) -1/12))))
(+.f64 (*.f64 -1/4 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 2))) (+.f64 (*.f64 1/48 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 4))) (+.f64 (*.f64 (+.f64 (*.f64 -1/48 (cos.f64 (*.f64 1/2 eps))) (*.f64 -1/16 (cos.f64 (*.f64 1/2 eps)))) (pow.f64 x 3)) (*.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) x)))))
(fma.f64 -1/4 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x x)) (fma.f64 1/48 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 4)) (fma.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) -1/12) (pow.f64 x 3) (*.f64 (*.f64 1/2 (cos.f64 (*.f64 1/2 eps))) x))))
(fma.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x x)) -1/4 (fma.f64 1/48 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 4)) (fma.f64 1/2 (*.f64 x (cos.f64 (*.f64 1/2 eps))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 -1/12 (pow.f64 x 3))))))
(+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 1/2 x) (*.f64 (pow.f64 x 3) -1/12))) (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (*.f64 x x) -1/4) (*.f64 1/48 (pow.f64 x 4)))))
(+.f64 (*.f64 (cos.f64 (*.f64 -1/2 eps)) (+.f64 (*.f64 1/2 x) (*.f64 (pow.f64 x 3) -1/12))) (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (*.f64 x x) -1/4) (*.f64 1/48 (pow.f64 x 4)))))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -1 x)))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 (-.f64 x (neg.f64 eps)))))
(*.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 (+.f64 x eps))))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -1 x)))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 (-.f64 x (neg.f64 eps)))))
(*.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 (+.f64 x eps))))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -1 x)))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 (-.f64 x (neg.f64 eps)))))
(*.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 (+.f64 x eps))))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -1 x)))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 (-.f64 x (neg.f64 eps)))))
(*.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 (+.f64 x eps))))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(*.f64 -1/2 (*.f64 eps eps))
✓1.3b
(-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 eps eps))) 1)
Compiler

Compiled 29 to 17 computations (41.4% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
eps
@inf
(-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 eps eps))) 1)
0.0ms
eps
@0
(-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 eps eps))) 1)
0.0ms
eps
@-inf
(-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 eps eps))) 1)

rewrite59.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
816×pow1_binary64
767×add-log-exp_binary64
766×log1p-expm1-u_binary64
766×expm1-log1p-u_binary64
754×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0813
11787
223977
Stop Event
1×node limit
Counts
1 → 46
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 eps eps))) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 -1/2 (*.f64 eps eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 -1/2 (*.f64 eps eps) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (*.f64 eps eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 -1/2 (*.f64 eps eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/2 (*.f64 eps eps) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -1/2 (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (*.f64 -1/2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps eps) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/2 (*.f64 eps eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 eps 4)) (*.f64 (pow.f64 (cbrt.f64 eps) 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 eps eps))) (cbrt.f64 (*.f64 (pow.f64 eps 4) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 eps 4) 1/4)) (cbrt.f64 (*.f64 -1/2 (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps (sqrt.f64 -1/2)) (*.f64 eps (sqrt.f64 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 2) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 2) -1) (/.f64 1 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/2 eps) eps)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (hypot.f64 1 (*.f64 eps (sqrt.f64 -1/2))) 1) (-.f64 (hypot.f64 1 (*.f64 eps (sqrt.f64 -1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/2 (cbrt.f64 (pow.f64 eps 4))) (pow.f64 (cbrt.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 -1/2 eps) 1) eps)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 -1/2 eps) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 -1/2 eps) (sqrt.f64 eps)) (sqrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 2) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 2)) (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 2) (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 2) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 2) (-.f64 1 (*.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 2) -1) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 2) -1) (-.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 2) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 2) -1)) (neg.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 -1/2 (*.f64 eps eps) -1) (fma.f64 -1/2 (*.f64 eps eps) -1)) (fma.f64 -1/2 (*.f64 eps eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (fma.f64 -1/2 (*.f64 eps eps) -1) (fma.f64 -1/2 (*.f64 eps eps) -1))) (-.f64 1 (fma.f64 -1/2 (*.f64 eps eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/2 (*.f64 eps eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 eps eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (sqrt.f64 -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 eps eps) 3) -1/8) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 eps 4) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 eps) eps) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 eps eps) 3) -1/8))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/2 (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/2 (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/2 (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 -1/2 (*.f64 eps eps) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) 2)) (cbrt.f64 (fma.f64 -1/2 (*.f64 eps eps) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (*.f64 eps (sqrt.f64 -1/2))) (hypot.f64 1 (*.f64 eps (sqrt.f64 -1/2))) -1)))))

simplify196.0ms (1%)

Algorithm
1×egg-herbie
Rules
1082×sqr-pow_binary64
617×cube-prod_binary64
554×fabs-mul_binary64
523×pow-sqr_binary64
441×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0684
11284
22384
34484
410584
533184
6125084
7212384
8228784
9247184
10267984
11297684
12337184
13385284
14441884
15510284
16593584
17632784
18661984
19689584
20696984
21700384
22794484
Stop Event
1×node limit
Counts
58 → 47
Calls
Call 1
Inputs
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (pow.f64 eps 2))
Outputs
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (*.f64 eps eps))
(*.f64 eps (*.f64 -1/2 eps))

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(expm1.f64 (+.f64 (cos.f64 eps) -1))
✓0.2b
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
1.8b
(+.f64 (cos.f64 eps) -1)
Compiler

Compiled 21 to 13 computations (38.1% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
eps
@0
(expm1.f64 (+.f64 (cos.f64 eps) -1))
0.0ms
eps
@0
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
0.0ms
eps
@-inf
(expm1.f64 (+.f64 (cos.f64 eps) -1))
0.0ms
eps
@inf
(expm1.f64 (+.f64 (cos.f64 eps) -1))
0.0ms
eps
@inf
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))

rewrite52.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
625×pow1_binary64
580×expm1-log1p-u_binary64
579×add-log-exp_binary64
579×log1p-expm1-u_binary64
568×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0714
112614
2150514
Stop Event
1×node limit
Counts
2 → 50
Calls
Call 1
Inputs
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
(expm1.f64 (+.f64 (cos.f64 eps) -1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (cos.f64 eps) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.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 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (/.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 (pow.f64 (cos.f64 eps) 2) (-.f64 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) (+.f64 (pow.f64 (cos.f64 eps) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 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 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (+.f64 (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (neg.f64 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (cos.f64 eps) 2)) (-.f64 -1 (cos.f64 eps)))))) (#(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) 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 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 cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cos.f64 eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) 2) (cbrt.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 3) 1) (+.f64 (*.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) (exp.f64 (+.f64 (cos.f64 eps) -1))) (+.f64 1 (*.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) (exp.f64 (+.f64 (cos.f64 eps) -1))) 1) (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))))))))

simplify126.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
902×distribute-rgt-out_binary64
620×fma-def_binary64
565×associate-*l*_binary64
520×distribute-lft-in_binary64
434×sqr-pow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041252
1101252
2226252
3719252
43407252
55312252
66312252
76649252
86979252
97348252
107801252
Stop Event
1×node limit
Counts
74 → 67
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 (pow.f64 eps 2))
(+.f64 (*.f64 1/6 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (*.f64 1/6 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -31/720 (pow.f64 eps 6))))
(+.f64 (*.f64 1/6 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 379/40320 (pow.f64 eps 8)) (*.f64 -31/720 (pow.f64 eps 6)))))
(-.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) 1)
(-.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) 1)
(-.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) 1)
(-.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) 1)
(-.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) 1)
(-.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) 1)
(-.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) 1)
(-.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) 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 eps (*.f64 eps (fma.f64 eps (*.f64 eps 1/24) -1/2)))
(+.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 -1/2 (*.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) (*.f64 1/24 (pow.f64 eps 4))))
(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)))))
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps 1/24) -1/2) (fma.f64 -1/720 (pow.f64 eps 6) (*.f64 1/40320 (pow.f64 eps 8))))
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (*.f64 eps eps))
(+.f64 (*.f64 1/6 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 1/6 (pow.f64 eps 4) (*.f64 -1/2 (*.f64 eps eps)))
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 (pow.f64 eps 4) 1/6))
(*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps 1/6) -1/2)))
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps 1/6) -1/2))
(+.f64 (*.f64 1/6 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -31/720 (pow.f64 eps 6))))
(fma.f64 1/6 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) (*.f64 (pow.f64 eps 6) -31/720)))
(fma.f64 (pow.f64 eps 4) 1/6 (fma.f64 (pow.f64 eps 6) -31/720 (*.f64 -1/2 (*.f64 eps eps))))
(fma.f64 -1/2 (*.f64 eps eps) (fma.f64 (pow.f64 eps 6) -31/720 (*.f64 (pow.f64 eps 4) 1/6)))
(fma.f64 -1/2 (*.f64 eps eps) (fma.f64 (pow.f64 eps 4) 1/6 (*.f64 (pow.f64 eps 6) -31/720)))
(+.f64 (*.f64 1/6 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 379/40320 (pow.f64 eps 8)) (*.f64 -31/720 (pow.f64 eps 6)))))
(fma.f64 1/6 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) (fma.f64 379/40320 (pow.f64 eps 8) (*.f64 (pow.f64 eps 6) -31/720))))
(fma.f64 (pow.f64 eps 4) 1/6 (fma.f64 -1/2 (*.f64 eps eps) (fma.f64 (pow.f64 eps 6) -31/720 (*.f64 (pow.f64 eps 8) 379/40320))))
(fma.f64 -1/2 (*.f64 eps eps) (fma.f64 (pow.f64 eps 4) 1/6 (fma.f64 (pow.f64 eps 6) -31/720 (*.f64 (pow.f64 eps 8) 379/40320))))
(-.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) 1)
(expm1.f64 (+.f64 (cos.f64 eps) -1))
(-.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) 1)
(expm1.f64 (+.f64 (cos.f64 eps) -1))
(-.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) 1)
(expm1.f64 (+.f64 (cos.f64 eps) -1))
(-.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) 1)
(expm1.f64 (+.f64 (cos.f64 eps) -1))
(-.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) 1)
(expm1.f64 (+.f64 (cos.f64 eps) -1))
(-.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) 1)
(expm1.f64 (+.f64 (cos.f64 eps) -1))
(-.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) 1)
(expm1.f64 (+.f64 (cos.f64 eps) -1))
(-.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) 1)
(expm1.f64 (+.f64 (cos.f64 eps) -1))

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3)) -2)
✓0.2b
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
✓0.4b
(pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3)
✓8.9b
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3))
Compiler

Compiled 48 to 41 computations (14.6% saved)

series7.0ms (0%)

Counts
4 → 40
Calls

12 calls:

TimeVariablePointExpression
2.0ms
eps
@0
(pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3)
1.0ms
eps
@inf
(pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3)
1.0ms
eps
@-inf
(pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3)
1.0ms
eps
@0
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3))
1.0ms
eps
@inf
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3))

rewrite72.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
886×pow1_binary64
832×add-log-exp_binary64
830×log1p-expm1-u_binary64
830×expm1-log1p-u_binary64
813×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01239
125439
2242539
Stop Event
1×node limit
Counts
4 → 76
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3))
(pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3)) -2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 1/2 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) (*.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 eps))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sqrt.f64 (sin.f64 (*.f64 1/2 eps)))) (sqrt.f64 (sin.f64 (*.f64 1/2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4) 1/3) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2)) (cbrt.f64 (sin.f64 (*.f64 1/2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 (*.f64 1/2 eps) (*.f64 1/2 eps))) (cos.f64 (+.f64 (*.f64 1/2 eps) (*.f64 1/2 eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 1/2 eps)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) 6) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 eps))) 6) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 eps))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) 3) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4) (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4) 1) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 12))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 6)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 1/2 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) (*.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 eps))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sqrt.f64 (sin.f64 (*.f64 1/2 eps)))) (sqrt.f64 (sin.f64 (*.f64 1/2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4) 1/3) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2)) (cbrt.f64 (sin.f64 (*.f64 1/2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 (*.f64 1/2 eps) (*.f64 1/2 eps))) (cos.f64 (+.f64 (*.f64 1/2 eps) (*.f64 1/2 eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 1/2 eps)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sqrt.f64 -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)))))))

simplify114.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
967×distribute-lft-out_binary64
942×fma-def_binary64
659×sqr-pow_binary64
446×unswap-sqr_binary64
382×associate-+l+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061520
1141520
2333520
31123520
42919520
54953520
65825520
76425520
86885520
97506520
Stop Event
1×node limit
Counts
116 → 85
Calls
Call 1
Inputs
(*.f64 1/4 (pow.f64 eps 2))
(+.f64 (*.f64 1/4 (pow.f64 eps 2)) (*.f64 -1/48 (pow.f64 eps 4)))
(+.f64 (*.f64 1/4 (pow.f64 eps 2)) (+.f64 (*.f64 -1/48 (pow.f64 eps 4)) (*.f64 1/1440 (pow.f64 eps 6))))
(+.f64 (*.f64 1/4 (pow.f64 eps 2)) (+.f64 (*.f64 -1/48 (pow.f64 eps 4)) (+.f64 (*.f64 -1/80640 (pow.f64 eps 8)) (*.f64 1/1440 (pow.f64 eps 6)))))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(*.f64 1/64 (pow.f64 eps 6))
(+.f64 (*.f64 1/64 (pow.f64 eps 6)) (*.f64 -1/256 (pow.f64 eps 8)))
(+.f64 (*.f64 1/64 (pow.f64 eps 6)) (+.f64 (*.f64 -1/256 (pow.f64 eps 8)) (*.f64 7/15360 (pow.f64 eps 10))))
(+.f64 (*.f64 -1/30240 (pow.f64 eps 12)) (+.f64 (*.f64 1/64 (pow.f64 eps 6)) (+.f64 (*.f64 -1/256 (pow.f64 eps 8)) (*.f64 7/15360 (pow.f64 eps 10)))))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 6)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 6)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 6)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 6)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 6)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 6)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 6)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 6)
(*.f64 1/4 (pow.f64 eps 2))
(+.f64 (*.f64 1/4 (pow.f64 eps 2)) (*.f64 -1/48 (pow.f64 eps 4)))
(+.f64 (*.f64 1/4 (pow.f64 eps 2)) (+.f64 (*.f64 -1/48 (pow.f64 eps 4)) (*.f64 1/1440 (pow.f64 eps 6))))
(+.f64 (*.f64 1/4 (pow.f64 eps 2)) (+.f64 (*.f64 -1/48 (pow.f64 eps 4)) (+.f64 (*.f64 -1/80640 (pow.f64 eps 8)) (*.f64 1/1440 (pow.f64 eps 6)))))
(*.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 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
Outputs
(*.f64 1/4 (pow.f64 eps 2))
(*.f64 1/4 (*.f64 eps eps))
(+.f64 (*.f64 1/4 (pow.f64 eps 2)) (*.f64 -1/48 (pow.f64 eps 4)))
(fma.f64 1/4 (*.f64 eps eps) (*.f64 -1/48 (pow.f64 eps 4)))
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps -1/48) 1/4))
(*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps -1/48) 1/4)))
(+.f64 (*.f64 1/4 (pow.f64 eps 2)) (+.f64 (*.f64 -1/48 (pow.f64 eps 4)) (*.f64 1/1440 (pow.f64 eps 6))))
(fma.f64 1/4 (*.f64 eps eps) (fma.f64 -1/48 (pow.f64 eps 4) (*.f64 1/1440 (pow.f64 eps 6))))
(fma.f64 1/4 (*.f64 eps eps) (fma.f64 1/1440 (pow.f64 eps 6) (*.f64 -1/48 (pow.f64 eps 4))))
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps -1/48) 1/4) (*.f64 1/1440 (pow.f64 eps 6)))
(+.f64 (*.f64 1/4 (pow.f64 eps 2)) (+.f64 (*.f64 -1/48 (pow.f64 eps 4)) (+.f64 (*.f64 -1/80640 (pow.f64 eps 8)) (*.f64 1/1440 (pow.f64 eps 6)))))
(fma.f64 1/4 (*.f64 eps eps) (fma.f64 -1/48 (pow.f64 eps 4) (fma.f64 -1/80640 (pow.f64 eps 8) (*.f64 1/1440 (pow.f64 eps 6)))))
(fma.f64 1/4 (*.f64 eps eps) (fma.f64 -1/48 (pow.f64 eps 4) (fma.f64 1/1440 (pow.f64 eps 6) (*.f64 -1/80640 (pow.f64 eps 8)))))
(fma.f64 (pow.f64 eps 4) (fma.f64 (pow.f64 eps 4) -1/80640 -1/48) (fma.f64 1/1440 (pow.f64 eps 6) (*.f64 1/4 (*.f64 eps eps))))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)
(*.f64 1/64 (pow.f64 eps 6))
(*.f64 (pow.f64 eps 6) 1/64)
(+.f64 (*.f64 1/64 (pow.f64 eps 6)) (*.f64 -1/256 (pow.f64 eps 8)))
(fma.f64 1/64 (pow.f64 eps 6) (*.f64 (pow.f64 eps 8) -1/256))
(fma.f64 (pow.f64 eps 6) 1/64 (*.f64 (pow.f64 eps 8) -1/256))
(+.f64 (*.f64 1/64 (pow.f64 eps 6)) (+.f64 (*.f64 -1/256 (pow.f64 eps 8)) (*.f64 7/15360 (pow.f64 eps 10))))
(fma.f64 1/64 (pow.f64 eps 6) (fma.f64 -1/256 (pow.f64 eps 8) (*.f64 7/15360 (pow.f64 eps 10))))
(fma.f64 (pow.f64 eps 6) 1/64 (fma.f64 (pow.f64 eps 8) -1/256 (*.f64 7/15360 (pow.f64 eps 10))))
(fma.f64 (pow.f64 eps 8) -1/256 (fma.f64 7/15360 (pow.f64 eps 10) (*.f64 (pow.f64 eps 6) 1/64)))
(+.f64 (*.f64 -1/30240 (pow.f64 eps 12)) (+.f64 (*.f64 1/64 (pow.f64 eps 6)) (+.f64 (*.f64 -1/256 (pow.f64 eps 8)) (*.f64 7/15360 (pow.f64 eps 10)))))
(fma.f64 -1/30240 (pow.f64 eps 12) (fma.f64 1/64 (pow.f64 eps 6) (fma.f64 -1/256 (pow.f64 eps 8) (*.f64 7/15360 (pow.f64 eps 10)))))
(fma.f64 -1/30240 (pow.f64 eps 12) (fma.f64 (pow.f64 eps 6) 1/64 (fma.f64 (pow.f64 eps 8) -1/256 (*.f64 7/15360 (pow.f64 eps 10)))))
(fma.f64 (pow.f64 eps 8) -1/256 (fma.f64 (pow.f64 eps 6) 1/64 (fma.f64 7/15360 (pow.f64 eps 10) (*.f64 -1/30240 (pow.f64 eps 12)))))
(fma.f64 (pow.f64 eps 6) 1/64 (fma.f64 (pow.f64 eps 8) -1/256 (fma.f64 7/15360 (pow.f64 eps 10) (*.f64 -1/30240 (pow.f64 eps 12)))))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 6)
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 6)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 6)
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 6)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 6)
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 6)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 6)
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 6)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 6)
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 6)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 6)
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 6)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 6)
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 6)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 6)
(pow.f64 (sin.f64 (*.f64 eps 1/2)) 6)
(*.f64 1/4 (pow.f64 eps 2))
(*.f64 1/4 (*.f64 eps eps))
(+.f64 (*.f64 1/4 (pow.f64 eps 2)) (*.f64 -1/48 (pow.f64 eps 4)))
(fma.f64 1/4 (*.f64 eps eps) (*.f64 -1/48 (pow.f64 eps 4)))
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps -1/48) 1/4))
(*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps -1/48) 1/4)))
(+.f64 (*.f64 1/4 (pow.f64 eps 2)) (+.f64 (*.f64 -1/48 (pow.f64 eps 4)) (*.f64 1/1440 (pow.f64 eps 6))))
(fma.f64 1/4 (*.f64 eps eps) (fma.f64 -1/48 (pow.f64 eps 4) (*.f64 1/1440 (pow.f64 eps 6))))
(fma.f64 1/4 (*.f64 eps eps) (fma.f64 1/1440 (pow.f64 eps 6) (*.f64 -1/48 (pow.f64 eps 4))))
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps -1/48) 1/4) (*.f64 1/1440 (pow.f64 eps 6)))
(+.f64 (*.f64 1/4 (pow.f64 eps 2)) (+.f64 (*.f64 -1/48 (pow.f64 eps 4)) (+.f64 (*.f64 -1/80640 (pow.f64 eps 8)) (*.f64 1/1440 (pow.f64 eps 6)))))
(fma.f64 1/4 (*.f64 eps eps) (fma.f64 -1/48 (pow.f64 eps 4) (fma.f64 -1/80640 (pow.f64 eps 8) (*.f64 1/1440 (pow.f64 eps 6)))))
(fma.f64 1/4 (*.f64 eps eps) (fma.f64 -1/48 (pow.f64 eps 4) (fma.f64 1/1440 (pow.f64 eps 6) (*.f64 -1/80640 (pow.f64 eps 8)))))
(fma.f64 (pow.f64 eps 4) (fma.f64 (pow.f64 eps 4) -1/80640 -1/48) (fma.f64 1/1440 (pow.f64 eps 6) (*.f64 1/4 (*.f64 eps eps))))
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 (*.f64 eps eps) -1/2)
(*.f64 eps (*.f64 eps -1/2))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 1/24 (pow.f64 eps 4) (*.f64 (*.f64 eps eps) -1/2))
(fma.f64 (*.f64 eps eps) -1/2 (*.f64 (pow.f64 eps 4) 1/24))
(fma.f64 eps (*.f64 eps -1/2) (*.f64 (pow.f64 eps 4) 1/24))
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps 1/24) -1/2))
(*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps 1/24) -1/2)))
(+.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 (pow.f64 eps 6) -1/720)))
(fma.f64 (pow.f64 eps 4) 1/24 (fma.f64 (*.f64 eps eps) -1/2 (*.f64 (pow.f64 eps 6) -1/720)))
(fma.f64 eps (*.f64 eps -1/2) (fma.f64 (pow.f64 eps 4) 1/24 (*.f64 (pow.f64 eps 6) -1/720)))
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps 1/24) -1/2) (*.f64 (pow.f64 eps 6) -1/720))
(+.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 (pow.f64 eps 8) 1/40320))))
(fma.f64 (pow.f64 eps 4) 1/24 (fma.f64 (*.f64 eps eps) -1/2 (fma.f64 (pow.f64 eps 6) -1/720 (*.f64 (pow.f64 eps 8) 1/40320))))
(fma.f64 (pow.f64 eps 4) 1/24 (fma.f64 eps (*.f64 eps -1/2) (fma.f64 (pow.f64 eps 6) -1/720 (*.f64 (pow.f64 eps 8) 1/40320))))
(fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps 1/24) -1/2) (fma.f64 (pow.f64 eps 6) -1/720 (*.f64 (pow.f64 eps 8) 1/40320)))
(fma.f64 eps (*.f64 eps -1/2) (fma.f64 (pow.f64 eps 4) 1/24 (fma.f64 (pow.f64 eps 6) -1/720 (*.f64 (pow.f64 eps 8) 1/40320))))
(*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)
(*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)
(*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)
(*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)
(*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)
(*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)
(*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)
(*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(exp.f64 (cos.f64 (+.f64 x eps)))
✓0.1b
(/.f64 (exp.f64 (cos.f64 (+.f64 x eps))) (exp.f64 (cos.f64 x)))
✓1.8b
(log.f64 (/.f64 (exp.f64 (cos.f64 (+.f64 x eps))) (exp.f64 (cos.f64 x))))
3.3b
(cos.f64 (+.f64 x eps))
Compiler

Compiled 40 to 9 computations (77.5% saved)

series64.0ms (0.3%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
24.0ms
eps
@0
(log.f64 (/.f64 (exp.f64 (cos.f64 (+.f64 x eps))) (exp.f64 (cos.f64 x))))
10.0ms
x
@inf
(log.f64 (/.f64 (exp.f64 (cos.f64 (+.f64 x eps))) (exp.f64 (cos.f64 x))))
9.0ms
x
@-inf
(log.f64 (/.f64 (exp.f64 (cos.f64 (+.f64 x eps))) (exp.f64 (cos.f64 x))))
8.0ms
eps
@inf
(log.f64 (/.f64 (exp.f64 (cos.f64 (+.f64 x eps))) (exp.f64 (cos.f64 x))))
8.0ms
eps
@-inf
(log.f64 (/.f64 (exp.f64 (cos.f64 (+.f64 x eps))) (exp.f64 (cos.f64 x))))

rewrite91.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
775×prod-diff_binary64
530×log-prod_binary64
293×fma-def_binary64
292×pow2_binary64
202×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01032
120932
2292432
Stop Event
1×node limit
Counts
3 → 212
Calls
Call 1
Inputs
(log.f64 (/.f64 (exp.f64 (cos.f64 (+.f64 x eps))) (exp.f64 (cos.f64 x))))
(/.f64 (exp.f64 (cos.f64 (+.f64 x eps))) (exp.f64 (cos.f64 x)))
(exp.f64 (cos.f64 (+.f64 x eps)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 x eps)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 x eps)) (*.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 -1 (cos.f64 x) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (cos.f64 (+.f64 x eps))) (log.f64 (*.f64 (sqrt.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (exp.f64 (neg.f64 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 1/3 (cos.f64 (+.f64 x eps)))) (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (exp.f64 (neg.f64 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 1/3 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (*.f64 1/3 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (*.f64 2 (*.f64 1/3 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (*.f64 1/2 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 -1) (cos.f64 (+.f64 x eps))) (log.f64 (/.f64 1 (neg.f64 (exp.f64 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) 2))) (log.f64 (/.f64 (exp.f64 (cos.f64 (+.f64 x eps))) (cbrt.f64 (exp.f64 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 1 (sqrt.f64 (exp.f64 (cos.f64 x))))) (log.f64 (/.f64 (exp.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (exp.f64 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) 2) 1)) (log.f64 (/.f64 (cbrt.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (exp.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 (sqrt.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) 1)) (log.f64 (/.f64 (sqrt.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (exp.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) 2) (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) 2))) (*.f64 1/3 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 (sqrt.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) 2))) (log.f64 (/.f64 (sqrt.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cbrt.f64 (exp.f64 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) 2) (sqrt.f64 (exp.f64 (cos.f64 x))))) (log.f64 (/.f64 (cbrt.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (sqrt.f64 (exp.f64 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/2 (cos.f64 (+.f64 x eps))) (log.f64 (/.f64 (exp.f64 (cos.f64 x)) (sqrt.f64 (exp.f64 (cos.f64 (+.f64 x eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 2 (*.f64 1/3 (cos.f64 (+.f64 x eps)))) (log.f64 (/.f64 (exp.f64 (cos.f64 x)) (cbrt.f64 (exp.f64 (cos.f64 (+.f64 x eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 (exp.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 -1) (cos.f64 (+.f64 x eps))) (+.f64 (log.f64 -1) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 -1) (log.f64 (neg.f64 (exp.f64 (-.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (neg.f64 (neg.f64 (exp.f64 (cos.f64 (+.f64 x eps)))))) (log.f64 (neg.f64 (neg.f64 (exp.f64 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (/.f64 (exp.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (exp.f64 (cos.f64 x))))) (*.f64 1/2 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (/.f64 (exp.f64 (cos.f64 (+.f64 x eps))) 1)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (/.f64 (exp.f64 (cos.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) 2))) (*.f64 1/3 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (cos.f64 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simplify67.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
796×associate-+l+_binary64
734×associate-+r+_binary64
665×distribute-rgt-in_binary64
664×distribute-lft-in_binary64
234×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02042046
16951904
225531816
Stop Event
1×node limit
Counts
284 → 268
Calls
Call 1
Inputs
(log.f64 (/.f64 (exp.f64 (cos.f64 eps)) (exp.f64 1)))
(+.f64 (log.f64 (/.f64 (exp.f64 (cos.f64 eps)) (exp.f64 1))) (*.f64 -1 (*.f64 x (sin.f64 eps))))
(+.f64 (log.f64 (/.f64 (exp.f64 (cos.f64 eps)) (exp.f64 1))) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 eps) 2)) (*.f64 -1/2 (cos.f64 eps))) (exp.f64 (cos.f64 eps))) (exp.f64 1)) (*.f64 -1/2 (/.f64 (exp.f64 (cos.f64 eps)) (E.f64)))) (exp.f64 1)) (exp.f64 (cos.f64 eps)))) (*.f64 -1 (pow.f64 (sin.f64 eps) 2))) (pow.f64 x 2))) (*.f64 -1 (*.f64 x (sin.f64 eps)))))
(+.f64 (log.f64 (/.f64 (exp.f64 (cos.f64 eps)) (exp.f64 1))) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 eps) 2)) (*.f64 -1/2 (cos.f64 eps))) (exp.f64 (cos.f64 eps))) (exp.f64 1)) (*.f64 -1/2 (/.f64 (exp.f64 (cos.f64 eps)) (E.f64)))) (exp.f64 1)) (exp.f64 (cos.f64 eps)))) (*.f64 -1 (pow.f64 (sin.f64 eps) 2))) (pow.f64 x 2))) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 6 (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (exp.f64 (cos.f64 eps)) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 eps) (sin.f64 eps))) (+.f64 (*.f64 1/6 (sin.f64 eps)) (*.f64 -1/6 (pow.f64 (sin.f64 eps) 3))))) (exp.f64 1)) (*.f64 1/2 (/.f64 (*.f64 (exp.f64 (cos.f64 eps)) (sin.f64 eps)) (E.f64)))) (exp.f64 1)) (exp.f64 (cos.f64 eps)))) (+.f64 (*.f64 -2 (pow.f64 (sin.f64 eps) 3)) (*.f64 6 (/.f64 (*.f64 (sin.f64 eps) (*.f64 (-.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 eps) 2)) (*.f64 -1/2 (cos.f64 eps))) (exp.f64 (cos.f64 eps))) (exp.f64 1)) (*.f64 -1/2 (/.f64 (exp.f64 (cos.f64 eps)) (E.f64)))) (exp.f64 1))) (exp.f64 (cos.f64 eps)))))) (pow.f64 x 3))) (*.f64 -1 (*.f64 x (sin.f64 eps))))))
(log.f64 (/.f64 (exp.f64 (cos.f64 (+.f64 eps x))) (exp.f64 (cos.f64 x))))
(log.f64 (/.f64 (exp.f64 (cos.f64 (+.f64 eps x))) (exp.f64 (cos.f64 x))))
(log.f64 (/.f64 (exp.f64 (cos.f64 (+.f64 eps x))) (exp.f64 (cos.f64 x))))
(log.f64 (/.f64 (exp.f64 (cos.f64 (+.f64 eps x))) (exp.f64 (cos.f64 x))))
(log.f64 (/.f64 (exp.f64 (cos.f64 (-.f64 eps (*.f64 -1 x)))) (exp.f64 (cos.f64 x))))
(log.f64 (/.f64 (exp.f64 (cos.f64 (-.f64 eps (*.f64 -1 x)))) (exp.f64 (cos.f64 x))))
(log.f64 (/.f64 (exp.f64 (cos.f64 (-.f64 eps (*.f64 -1 x)))) (exp.f64 (cos.f64 x))))
(log.f64 (/.f64 (exp.f64 (cos.f64 (-.f64 eps (*.f64 -1 x)))) (exp.f64 (cos.f64 x))))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (pow.f64 (sin.f64 x) 2)) (*.f64 2 (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 x) 2)) (*.f64 -1/2 (cos.f64 x))))))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 6 (+.f64 (*.f64 -1/6 (pow.f64 (sin.f64 x) 3)) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 x) (sin.f64 x))) (*.f64 1/6 (sin.f64 x))))) (+.f64 (*.f64 -2 (pow.f64 (sin.f64 x) 3)) (*.f64 6 (*.f64 (sin.f64 x) (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 x) 2)) (*.f64 -1/2 (cos.f64 x))))))))) (+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (pow.f64 (sin.f64 x) 2)) (*.f64 2 (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 x) 2)) (*.f64 -1/2 (cos.f64 x)))))))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 6 (+.f64 (*.f64 -1/6 (pow.f64 (sin.f64 x) 3)) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 x) (sin.f64 x))) (*.f64 1/6 (sin.f64 x))))) (+.f64 (*.f64 -2 (pow.f64 (sin.f64 x) 3)) (*.f64 6 (*.f64 (sin.f64 x) (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 x) 2)) (*.f64 -1/2 (cos.f64 x))))))))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 -12 (pow.f64 (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 x) 2)) (*.f64 -1/2 (cos.f64 x))) 2)) (+.f64 (*.f64 -6 (pow.f64 (sin.f64 x) 4)) (+.f64 (*.f64 24 (*.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (pow.f64 (sin.f64 x) 3)) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 x) (sin.f64 x))) (*.f64 1/6 (sin.f64 x)))))) (+.f64 (*.f64 24 (+.f64 (*.f64 -1/4 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (+.f64 (*.f64 1/8 (pow.f64 (cos.f64 x) 2)) (+.f64 (*.f64 1/24 (cos.f64 x)) (+.f64 (*.f64 1/24 (pow.f64 (sin.f64 x) 4)) (*.f64 -1/6 (pow.f64 (sin.f64 x) 2))))))) (*.f64 24 (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 x) 2)) (*.f64 -1/2 (cos.f64 x))))))))))) (+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (pow.f64 (sin.f64 x) 2)) (*.f64 2 (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 x) 2)) (*.f64 -1/2 (cos.f64 x))))))))))
(log.f64 (/.f64 (exp.f64 (cos.f64 (+.f64 eps x))) (exp.f64 (cos.f64 x))))
(log.f64 (/.f64 (exp.f64 (cos.f64 (+.f64 eps x))) (exp.f64 (cos.f64 x))))
(log.f64 (/.f64 (exp.f64 (cos.f64 (+.f64 eps x))) (exp.f64 (cos.f64 x))))
(log.f64 (/.f64 (exp.f64 (cos.f64 (+.f64 eps x))) (exp.f64 (cos.f64 x))))
(log.f64 (/.f64 (exp.f64 (cos.f64 (-.f64 x (*.f64 -1 eps)))) (exp.f64 (cos.f64 x))))
(log.f64 (/.f64 (exp.f64 (cos.f64 (-.f64 x (*.f64 -1 eps)))) (exp.f64 (cos.f64 x))))
(log.f64 (/.f64 (exp.f64 (cos.f64 (-.f64 x (*.f64 -1 eps)))) (exp.f64 (cos.f64 x))))
(log.f64 (/.f64 (exp.f64 (cos.f64 (-.f64 x (*.f64 -1 eps)))) (exp.f64 (cos.f64 x))))
(/.f64 (exp.f64 (cos.f64 eps)) (E.f64))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 (cos.f64 eps)) (*.f64 x (sin.f64 eps))) (E.f64))) (/.f64 (exp.f64 (cos.f64 eps)) (E.f64)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 (cos.f64 eps)) (*.f64 x (sin.f64 eps))) (E.f64))) (+.f64 (*.f64 (-.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 eps) 2)) (*.f64 -1/2 (cos.f64 eps))) (exp.f64 (cos.f64 eps))) (E.f64)) (*.f64 -1/2 (/.f64 (exp.f64 (cos.f64 eps)) (exp.f64 1)))) (pow.f64 x 2)) (/.f64 (exp.f64 (cos.f64 eps)) (E.f64))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 (cos.f64 eps)) (*.f64 x (sin.f64 eps))) (E.f64))) (+.f64 (*.f64 (-.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 eps) 2)) (*.f64 -1/2 (cos.f64 eps))) (exp.f64 (cos.f64 eps))) (E.f64)) (*.f64 -1/2 (/.f64 (exp.f64 (cos.f64 eps)) (exp.f64 1)))) (pow.f64 x 2)) (+.f64 (/.f64 (exp.f64 (cos.f64 eps)) (E.f64)) (*.f64 (-.f64 (/.f64 (*.f64 (exp.f64 (cos.f64 eps)) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 eps) (sin.f64 eps))) (+.f64 (*.f64 1/6 (sin.f64 eps)) (*.f64 -1/6 (pow.f64 (sin.f64 eps) 3))))) (E.f64)) (*.f64 1/2 (/.f64 (*.f64 (exp.f64 (cos.f64 eps)) (sin.f64 eps)) (exp.f64 1)))) (pow.f64 x 3)))))
(/.f64 (exp.f64 (cos.f64 (+.f64 eps x))) (exp.f64 (cos.f64 x)))
(/.f64 (exp.f64 (cos.f64 (+.f64 eps x))) (exp.f64 (cos.f64 x)))
(/.f64 (exp.f64 (cos.f64 (+.f64 eps x))) (exp.f64 (cos.f64 x)))
(/.f64 (exp.f64 (cos.f64 (+.f64 eps x))) (exp.f64 (cos.f64 x)))
(/.f64 (exp.f64 (cos.f64 (-.f64 eps (*.f64 -1 x)))) (exp.f64 (cos.f64 x)))
(/.f64 (exp.f64 (cos.f64 (-.f64 eps (*.f64 -1 x)))) (exp.f64 (cos.f64 x)))
(/.f64 (exp.f64 (cos.f64 (-.f64 eps (*.f64 -1 x)))) (exp.f64 (cos.f64 x)))
(/.f64 (exp.f64 (cos.f64 (-.f64 eps (*.f64 -1 x)))) (exp.f64 (cos.f64 x)))
1
(+.f64 1 (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 x) 2)) (*.f64 -1/2 (cos.f64 x))))))
(+.f64 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/6 (pow.f64 (sin.f64 x) 3)) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 x) (sin.f64 x))) (*.f64 1/6 (sin.f64 x))))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 x) 2)) (*.f64 -1/2 (cos.f64 x)))))))
(/.f64 (exp.f64 (cos.f64 (+.f64 eps x))) (exp.f64 (cos.f64 x)))
(/.f64 (exp.f64 (cos.f64 (+.f64 eps x))) (exp.f64 (cos.f64 x)))
(/.f64 (exp.f64 (cos.f64 (+.f64 eps x))) (exp.f64 (cos.f64 x)))
(/.f64 (exp.f64 (cos.f64 (+.f64 eps x))) (exp.f64 (cos.f64 x)))
(/.f64 (exp.f64 (cos.f64 (-.f64 x (*.f64 -1 eps)))) (exp.f64 (cos.f64 x)))
(/.f64 (exp.f64 (cos.f64 (-.f64 x (*.f64 -1 eps)))) (exp.f64 (cos.f64 x)))
(/.f64 (exp.f64 (cos.f64 (-.f64 x (*.f64 -1 eps)))) (exp.f64 (cos.f64 x)))
(/.f64 (exp.f64 (cos.f64 (-.f64 x (*.f64 -1 eps)))) (exp.f64 (cos.f64 x)))
(exp.f64 (cos.f64 eps))
(+.f64 (*.f64 -1 (*.f64 (exp.f64 (cos.f64 eps)) (*.f64 (sin.f64 eps) x))) (exp.f64 (cos.f64 eps)))
(+.f64 (*.f64 -1 (*.f64 (exp.f64 (cos.f64 eps)) (*.f64 (sin.f64 eps) x))) (+.f64 (exp.f64 (cos.f64 eps)) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 eps) 2)) (*.f64 -1/2 (cos.f64 eps))) (*.f64 (exp.f64 (cos.f64 eps)) (pow.f64 x 2)))))
(+.f64 (*.f64 -1 (*.f64 (exp.f64 (cos.f64 eps)) (*.f64 (sin.f64 eps) x))) (+.f64 (*.f64 (exp.f64 (cos.f64 eps)) (*.f64 (+.f64 (*.f64 1/2 (*.f64 (cos.f64 eps) (sin.f64 eps))) (+.f64 (*.f64 1/6 (sin.f64 eps)) (*.f64 -1/6 (pow.f64 (sin.f64 eps) 3)))) (pow.f64 x 3))) (+.f64 (exp.f64 (cos.f64 eps)) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 eps) 2)) (*.f64 -1/2 (cos.f64 eps))) (*.f64 (exp.f64 (cos.f64 eps)) (pow.f64 x 2))))))
(exp.f64 (cos.f64 (+.f64 eps x)))
(exp.f64 (cos.f64 (+.f64 eps x)))
(exp.f64 (cos.f64 (+.f64 eps x)))
(exp.f64 (cos.f64 (+.f64 eps x)))
(exp.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))))
(exp.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))))
(exp.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))))
(exp.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))))
(exp.f64 (cos.f64 x))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (sin.f64 x) (exp.f64 (cos.f64 x))))) (exp.f64 (cos.f64 x)))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (sin.f64 x) (exp.f64 (cos.f64 x))))) (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (cos.f64 x)) (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 x) 2)) (*.f64 -1/2 (cos.f64 x))))) (exp.f64 (cos.f64 x))))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (sin.f64 x) (exp.f64 (cos.f64 x))))) (+.f64 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (cos.f64 x)) (+.f64 (*.f64 -1/6 (pow.f64 (sin.f64 x) 3)) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 x) (sin.f64 x))) (*.f64 1/6 (sin.f64 x)))))) (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (cos.f64 x)) (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 x) 2)) (*.f64 -1/2 (cos.f64 x))))) (exp.f64 (cos.f64 x)))))
(exp.f64 (cos.f64 (+.f64 eps x)))
(exp.f64 (cos.f64 (+.f64 eps x)))
(exp.f64 (cos.f64 (+.f64 eps x)))
(exp.f64 (cos.f64 (+.f64 eps x)))
(exp.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))))
(exp.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))))
(exp.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))))
(exp.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))))
Outputs
(log.f64 (/.f64 (exp.f64 (cos.f64 eps)) (exp.f64 1)))
(log.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)))
(+.f64 (cos.f64 eps) -1)
(+.f64 (log.f64 (/.f64 (exp.f64 (cos.f64 eps)) (exp.f64 1))) (*.f64 -1 (*.f64 x (sin.f64 eps))))
(+.f64 (log.f64 (exp.f64 (-.f64 (cos.f64 eps) 1))) (*.f64 (neg.f64 x) (sin.f64 eps)))
(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (sin.f64 eps)))
(-.f64 (cos.f64 eps) (+.f64 1 (*.f64 x (sin.f64 eps))))
(+.f64 (log.f64 (/.f64 (exp.f64 (cos.f64 eps)) (exp.f64 1))) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 eps) 2)) (*.f64 -1/2 (cos.f64 eps))) (exp.f64 (cos.f64 eps))) (exp.f64 1)) (*.f64 -1/2 (/.f64 (exp.f64 (cos.f64 eps)) (E.f64)))) (exp.f64 1)) (exp.f64 (cos.f64 eps)))) (*.f64 -1 (pow.f64 (sin.f64 eps) 2))) (pow.f64 x 2))) (*.f64 -1 (*.f64 x (sin.f64 eps)))))
(+.f64 (log.f64 (exp.f64 (-.f64 (cos.f64 eps) 1))) (fma.f64 1/2 (*.f64 (fma.f64 2 (/.f64 (+.f64 (/.f64 (fma.f64 1/2 (pow.f64 (sin.f64 eps) 2) (*.f64 (cos.f64 eps) -1/2)) (/.f64 (E.f64) (exp.f64 (cos.f64 eps)))) (*.f64 1/2 (exp.f64 (-.f64 (cos.f64 eps) 1)))) (exp.f64 (-.f64 (cos.f64 eps) 1))) (neg.f64 (pow.f64 (sin.f64 eps) 2))) (*.f64 x x)) (*.f64 (neg.f64 x) (sin.f64 eps))))
(+.f64 (+.f64 (cos.f64 eps) -1) (-.f64 (*.f64 1/2 (*.f64 x (*.f64 x (-.f64 (*.f64 2 (/.f64 (+.f64 (/.f64 (fma.f64 1/2 (pow.f64 (sin.f64 eps) 2) (*.f64 (cos.f64 eps) -1/2)) (exp.f64 (-.f64 1 (cos.f64 eps)))) (*.f64 1/2 (exp.f64 (+.f64 (cos.f64 eps) -1)))) (exp.f64 (+.f64 (cos.f64 eps) -1)))) (pow.f64 (sin.f64 eps) 2))))) (*.f64 x (sin.f64 eps))))
(+.f64 (cos.f64 eps) (+.f64 -1 (*.f64 x (-.f64 (*.f64 (*.f64 1/2 (-.f64 (*.f64 2 (*.f64 (exp.f64 (-.f64 1 (cos.f64 eps))) (fma.f64 (/.f64 (fma.f64 1/2 (pow.f64 (sin.f64 eps) 2) (*.f64 (cos.f64 eps) -1/2)) (E.f64)) (exp.f64 (cos.f64 eps)) (/.f64 1/2 (exp.f64 (-.f64 1 (cos.f64 eps))))))) (pow.f64 (sin.f64 eps) 2))) x) (sin.f64 eps)))))
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(-.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 1/2 (pow.f64 (sin.f64 eps) 2) (*.f64 (cos.f64 eps) -1/2)) (E.f64)) (exp.f64 (cos.f64 eps)) (/.f64 1/2 (exp.f64 (-.f64 1 (cos.f64 eps))))) (*.f64 x x) (exp.f64 (+.f64 (cos.f64 eps) -1))) (/.f64 (*.f64 x (sin.f64 eps)) (exp.f64 (-.f64 1 (cos.f64 eps)))))
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(/.f64 (exp.f64 (cos.f64 (+.f64 eps x))) (exp.f64 (cos.f64 x)))
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(/.f64 (exp.f64 (cos.f64 (+.f64 eps x))) (exp.f64 (cos.f64 x)))
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(/.f64 (exp.f64 (cos.f64 (+.f64 eps x))) (exp.f64 (cos.f64 x)))
(exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (exp.f64 (cos.f64 (-.f64 eps (*.f64 -1 x)))) (exp.f64 (cos.f64 x)))
(exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (exp.f64 (cos.f64 (-.f64 eps (*.f64 -1 x)))) (exp.f64 (cos.f64 x)))
(exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (exp.f64 (cos.f64 (-.f64 eps (*.f64 -1 x)))) (exp.f64 (cos.f64 x)))
(exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (exp.f64 (cos.f64 (-.f64 eps (*.f64 -1 x)))) (exp.f64 (cos.f64 x)))
(exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
1
(+.f64 1 (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 1 (*.f64 (neg.f64 eps) (sin.f64 x)))
(-.f64 1 (*.f64 eps (sin.f64 x)))
(fma.f64 (neg.f64 eps) (sin.f64 x) 1)
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(+.f64 1 (fma.f64 -1 (*.f64 eps (sin.f64 x)) (*.f64 (*.f64 eps eps) (fma.f64 1/2 (pow.f64 (sin.f64 x) 2) (*.f64 -1/2 (cos.f64 x))))))
(+.f64 1 (-.f64 (*.f64 (*.f64 eps eps) (fma.f64 1/2 (pow.f64 (sin.f64 x) 2) (*.f64 -1/2 (cos.f64 x)))) (*.f64 eps (sin.f64 x))))
(+.f64 1 (*.f64 eps (-.f64 (*.f64 (fma.f64 1/2 (pow.f64 (sin.f64 x) 2) (*.f64 -1/2 (cos.f64 x))) eps) (sin.f64 x))))
(+.f64 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/6 (pow.f64 (sin.f64 x) 3)) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 x) (sin.f64 x))) (*.f64 1/6 (sin.f64 x))))) (+.f64 1 (+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 x) 2)) (*.f64 -1/2 (cos.f64 x)))))))
(fma.f64 (pow.f64 eps 3) (fma.f64 -1/6 (pow.f64 (sin.f64 x) 3) (fma.f64 1/2 (*.f64 (cos.f64 x) (sin.f64 x)) (*.f64 1/6 (sin.f64 x)))) (+.f64 1 (fma.f64 -1 (*.f64 eps (sin.f64 x)) (*.f64 (*.f64 eps eps) (fma.f64 1/2 (pow.f64 (sin.f64 x) 2) (*.f64 -1/2 (cos.f64 x)))))))
(+.f64 (-.f64 (*.f64 (*.f64 eps eps) (fma.f64 1/2 (pow.f64 (sin.f64 x) 2) (*.f64 -1/2 (cos.f64 x)))) (*.f64 eps (sin.f64 x))) (fma.f64 (pow.f64 eps 3) (fma.f64 -1/6 (pow.f64 (sin.f64 x) 3) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/2 (cos.f64 x)) 1/6))) 1))
(+.f64 (*.f64 eps (-.f64 (*.f64 (fma.f64 1/2 (pow.f64 (sin.f64 x) 2) (*.f64 -1/2 (cos.f64 x))) eps) (sin.f64 x))) (fma.f64 (pow.f64 eps 3) (fma.f64 -1/6 (pow.f64 (sin.f64 x) 3) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/2 (cos.f64 x)) 1/6))) 1))
(/.f64 (exp.f64 (cos.f64 (+.f64 eps x))) (exp.f64 (cos.f64 x)))
(exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (exp.f64 (cos.f64 (+.f64 eps x))) (exp.f64 (cos.f64 x)))
(exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (exp.f64 (cos.f64 (+.f64 eps x))) (exp.f64 (cos.f64 x)))
(exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (exp.f64 (cos.f64 (+.f64 eps x))) (exp.f64 (cos.f64 x)))
(exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (exp.f64 (cos.f64 (-.f64 x (*.f64 -1 eps)))) (exp.f64 (cos.f64 x)))
(exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (exp.f64 (cos.f64 (-.f64 x (*.f64 -1 eps)))) (exp.f64 (cos.f64 x)))
(exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (exp.f64 (cos.f64 (-.f64 x (*.f64 -1 eps)))) (exp.f64 (cos.f64 x)))
(exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (exp.f64 (cos.f64 (-.f64 x (*.f64 -1 eps)))) (exp.f64 (cos.f64 x)))
(exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(exp.f64 (cos.f64 eps))
(+.f64 (*.f64 -1 (*.f64 (exp.f64 (cos.f64 eps)) (*.f64 (sin.f64 eps) x))) (exp.f64 (cos.f64 eps)))
(fma.f64 -1 (*.f64 (exp.f64 (cos.f64 eps)) (*.f64 x (sin.f64 eps))) (exp.f64 (cos.f64 eps)))
(fma.f64 (neg.f64 (exp.f64 (cos.f64 eps))) (*.f64 x (sin.f64 eps)) (exp.f64 (cos.f64 eps)))
(*.f64 (+.f64 (*.f64 (sin.f64 eps) (neg.f64 x)) 1) (exp.f64 (cos.f64 eps)))
(+.f64 (*.f64 -1 (*.f64 (exp.f64 (cos.f64 eps)) (*.f64 (sin.f64 eps) x))) (+.f64 (exp.f64 (cos.f64 eps)) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 eps) 2)) (*.f64 -1/2 (cos.f64 eps))) (*.f64 (exp.f64 (cos.f64 eps)) (pow.f64 x 2)))))
(+.f64 (fma.f64 -1 (*.f64 (exp.f64 (cos.f64 eps)) (*.f64 x (sin.f64 eps))) (exp.f64 (cos.f64 eps))) (*.f64 (fma.f64 1/2 (pow.f64 (sin.f64 eps) 2) (*.f64 (cos.f64 eps) -1/2)) (*.f64 (exp.f64 (cos.f64 eps)) (*.f64 x x))))
(-.f64 (fma.f64 (fma.f64 1/2 (pow.f64 (sin.f64 eps) 2) (*.f64 (cos.f64 eps) -1/2)) (*.f64 (exp.f64 (cos.f64 eps)) (*.f64 x x)) (exp.f64 (cos.f64 eps))) (*.f64 (exp.f64 (cos.f64 eps)) (*.f64 x (sin.f64 eps))))
(+.f64 (exp.f64 (cos.f64 eps)) (*.f64 (exp.f64 (cos.f64 eps)) (+.f64 (*.f64 (fma.f64 1/2 (pow.f64 (sin.f64 eps) 2) (*.f64 (cos.f64 eps) -1/2)) (*.f64 x x)) (*.f64 (sin.f64 eps) (neg.f64 x)))))
(+.f64 (*.f64 -1 (*.f64 (exp.f64 (cos.f64 eps)) (*.f64 (sin.f64 eps) x))) (+.f64 (*.f64 (exp.f64 (cos.f64 eps)) (*.f64 (+.f64 (*.f64 1/2 (*.f64 (cos.f64 eps) (sin.f64 eps))) (+.f64 (*.f64 1/6 (sin.f64 eps)) (*.f64 -1/6 (pow.f64 (sin.f64 eps) 3)))) (pow.f64 x 3))) (+.f64 (exp.f64 (cos.f64 eps)) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 eps) 2)) (*.f64 -1/2 (cos.f64 eps))) (*.f64 (exp.f64 (cos.f64 eps)) (pow.f64 x 2))))))
(fma.f64 -1 (*.f64 (exp.f64 (cos.f64 eps)) (*.f64 x (sin.f64 eps))) (fma.f64 (exp.f64 (cos.f64 eps)) (*.f64 (fma.f64 1/2 (*.f64 (cos.f64 eps) (sin.f64 eps)) (fma.f64 1/6 (sin.f64 eps) (*.f64 -1/6 (pow.f64 (sin.f64 eps) 3)))) (pow.f64 x 3)) (+.f64 (exp.f64 (cos.f64 eps)) (*.f64 (fma.f64 1/2 (pow.f64 (sin.f64 eps) 2) (*.f64 (cos.f64 eps) -1/2)) (*.f64 (exp.f64 (cos.f64 eps)) (*.f64 x x))))))
(-.f64 (fma.f64 (exp.f64 (cos.f64 eps)) (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 (sin.f64 eps) 3)) (*.f64 (sin.f64 eps) (+.f64 (*.f64 (cos.f64 eps) 1/2) 1/6))) (pow.f64 x 3)) (fma.f64 (fma.f64 1/2 (pow.f64 (sin.f64 eps) 2) (*.f64 (cos.f64 eps) -1/2)) (*.f64 (exp.f64 (cos.f64 eps)) (*.f64 x x)) (exp.f64 (cos.f64 eps)))) (*.f64 (exp.f64 (cos.f64 eps)) (*.f64 x (sin.f64 eps))))
(-.f64 (*.f64 (exp.f64 (cos.f64 eps)) (+.f64 (*.f64 (fma.f64 1/2 (pow.f64 (sin.f64 eps) 2) (*.f64 (cos.f64 eps) -1/2)) (*.f64 x x)) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (pow.f64 (sin.f64 eps) 3)) (*.f64 (sin.f64 eps) (+.f64 (*.f64 (cos.f64 eps) 1/2) 1/6))) (pow.f64 x 3)) 1))) (*.f64 (exp.f64 (cos.f64 eps)) (*.f64 x (sin.f64 eps))))
(exp.f64 (cos.f64 (+.f64 eps x)))
(exp.f64 (cos.f64 (+.f64 eps x)))
(exp.f64 (cos.f64 (+.f64 eps x)))
(exp.f64 (cos.f64 (+.f64 eps x)))
(exp.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))))
(exp.f64 (cos.f64 (+.f64 eps x)))
(exp.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))))
(exp.f64 (cos.f64 (+.f64 eps x)))
(exp.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))))
(exp.f64 (cos.f64 (+.f64 eps x)))
(exp.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))))
(exp.f64 (cos.f64 (+.f64 eps x)))
(exp.f64 (cos.f64 x))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (sin.f64 x) (exp.f64 (cos.f64 x))))) (exp.f64 (cos.f64 x)))
(fma.f64 -1 (*.f64 eps (*.f64 (exp.f64 (cos.f64 x)) (sin.f64 x))) (exp.f64 (cos.f64 x)))
(-.f64 (exp.f64 (cos.f64 x)) (*.f64 eps (*.f64 (exp.f64 (cos.f64 x)) (sin.f64 x))))
(*.f64 (fma.f64 (neg.f64 eps) (sin.f64 x) 1) (exp.f64 (cos.f64 x)))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (sin.f64 x) (exp.f64 (cos.f64 x))))) (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (cos.f64 x)) (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 x) 2)) (*.f64 -1/2 (cos.f64 x))))) (exp.f64 (cos.f64 x))))
(fma.f64 -1 (*.f64 eps (*.f64 (exp.f64 (cos.f64 x)) (sin.f64 x))) (fma.f64 (*.f64 eps eps) (*.f64 (exp.f64 (cos.f64 x)) (fma.f64 1/2 (pow.f64 (sin.f64 x) 2) (*.f64 -1/2 (cos.f64 x)))) (exp.f64 (cos.f64 x))))
(-.f64 (fma.f64 (*.f64 eps (*.f64 eps (exp.f64 (cos.f64 x)))) (fma.f64 1/2 (pow.f64 (sin.f64 x) 2) (*.f64 -1/2 (cos.f64 x))) (exp.f64 (cos.f64 x))) (*.f64 eps (*.f64 (exp.f64 (cos.f64 x)) (sin.f64 x))))
(+.f64 (exp.f64 (cos.f64 x)) (*.f64 (exp.f64 (cos.f64 x)) (*.f64 eps (-.f64 (*.f64 (fma.f64 1/2 (pow.f64 (sin.f64 x) 2) (*.f64 -1/2 (cos.f64 x))) eps) (sin.f64 x)))))
(+.f64 (*.f64 -1 (*.f64 eps (*.f64 (sin.f64 x) (exp.f64 (cos.f64 x))))) (+.f64 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (cos.f64 x)) (+.f64 (*.f64 -1/6 (pow.f64 (sin.f64 x) 3)) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 x) (sin.f64 x))) (*.f64 1/6 (sin.f64 x)))))) (+.f64 (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (cos.f64 x)) (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 x) 2)) (*.f64 -1/2 (cos.f64 x))))) (exp.f64 (cos.f64 x)))))
(fma.f64 -1 (*.f64 eps (*.f64 (exp.f64 (cos.f64 x)) (sin.f64 x))) (fma.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (cos.f64 x)) (fma.f64 -1/6 (pow.f64 (sin.f64 x) 3) (fma.f64 1/2 (*.f64 (cos.f64 x) (sin.f64 x)) (*.f64 1/6 (sin.f64 x))))) (fma.f64 (*.f64 eps eps) (*.f64 (exp.f64 (cos.f64 x)) (fma.f64 1/2 (pow.f64 (sin.f64 x) 2) (*.f64 -1/2 (cos.f64 x)))) (exp.f64 (cos.f64 x)))))
(-.f64 (fma.f64 (*.f64 (exp.f64 (cos.f64 x)) (pow.f64 eps 3)) (fma.f64 -1/6 (pow.f64 (sin.f64 x) 3) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/2 (cos.f64 x)) 1/6))) (fma.f64 (*.f64 eps (*.f64 eps (exp.f64 (cos.f64 x)))) (fma.f64 1/2 (pow.f64 (sin.f64 x) 2) (*.f64 -1/2 (cos.f64 x))) (exp.f64 (cos.f64 x)))) (*.f64 eps (*.f64 (exp.f64 (cos.f64 x)) (sin.f64 x))))
(+.f64 (*.f64 (exp.f64 (cos.f64 x)) (*.f64 eps (-.f64 (*.f64 (fma.f64 1/2 (pow.f64 (sin.f64 x) 2) (*.f64 -1/2 (cos.f64 x))) eps) (sin.f64 x)))) (*.f64 (fma.f64 (pow.f64 eps 3) (fma.f64 -1/6 (pow.f64 (sin.f64 x) 3) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/2 (cos.f64 x)) 1/6))) 1) (exp.f64 (cos.f64 x))))
(exp.f64 (cos.f64 (+.f64 eps x)))
(exp.f64 (cos.f64 (+.f64 eps x)))
(exp.f64 (cos.f64 (+.f64 eps x)))
(exp.f64 (cos.f64 (+.f64 eps x)))
(exp.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))))
(exp.f64 (cos.f64 (+.f64 eps x)))
(exp.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))))
(exp.f64 (cos.f64 (+.f64 eps x)))
(exp.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))))
(exp.f64 (cos.f64 (+.f64 eps x)))
(exp.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))))
(exp.f64 (cos.f64 (+.f64 eps x)))

eval446.0ms (2.3%)

Compiler

Compiled 18132 to 10751 computations (40.7% saved)

prune843.0ms (4.4%)

Pruning

95 alts after pruning (87 fresh and 8 done)

PrunedKeptTotal
New76824792
Fresh166379
Picked011
Done279
Total78695881
Error
0.1b
Counts
881 → 95
Alt Table
Click to see full alt table
StatusErrorProgram
28.9b
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (sin.f64 (*.f64 1/2 eps))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))) -2)
26.1b
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
42.6b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 (*.f64 eps eps) eps) 1/2))) -2)
38.7b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))
39.2b
(-.f64 (pow.f64 (+.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) 1)) 1) (cos.f64 x))
56.2b
(cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 6)))
50.5b
(-.f64 (pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 2) (cos.f64 x))
39.5b
(-.f64 (+.f64 1 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)) 1)
32.3b
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x eps) x)))) 2)) -2)
43.6b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (/.f64 eps (*.f64 eps eps))) 1/2))) -2)
33.2b
(*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)
20.9b
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps x))) (cos.f64 (*.f64 1/2 x))) 3) (pow.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps x))) (sin.f64 (*.f64 1/2 x))) 3)) (sin.f64 (*.f64 1/2 eps))) (fma.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps x))) (sin.f64 (*.f64 1/2 x))) (sin.f64 (-.f64 (*.f64 1/2 x) (*.f64 1/2 (+.f64 eps x)))) (pow.f64 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps x))) (cos.f64 (*.f64 1/2 x))) 2))) -2)
51.8b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (/.f64 (*.f64 eps eps) (pow.f64 eps 3))) 1/2))) -2)
56.2b
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
39.7b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 1))
33.8b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (pow.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) 2)))
51.1b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (pow.f64 (sqrt.f64 eps) 2) 1/2))) -2)
39.5b
(*.f64 (/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps)))))) -2)
31.6b
(-.f64 (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (+.f64 -1/2 (*.f64 eps (*.f64 eps 1/24)))) (*.f64 (sin.f64 x) (fma.f64 (pow.f64 eps 3) -1/6 eps)))
40.3b
(-.f64 (cos.f64 eps) (+.f64 1 (*.f64 x (sin.f64 eps))))
39.0b
(log.f64 (/.f64 (exp.f64 (cos.f64 eps)) (exp.f64 (cos.f64 x))))
26.1b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))))
14.5b
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x eps) x))))) 3) -2)
46.4b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (pow.f64 (cbrt.f64 eps) 3) 1/2))) -2)
✓39.5b
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
26.1b
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
33.7b
(-.f64 (fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (cos.f64 x))
✓57.2b
(-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 eps eps))) 1)
51.3b
(*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps 1/24) -1/2)))
39.2b
(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
39.7b
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
49.8b
(-.f64 (exp.f64 (log.f64 (cos.f64 eps))) (cos.f64 x))
39.1b
(-.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 3) (cos.f64 x))
26.1b
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
✓39.4b
(-.f64 (cos.f64 eps) 1)
40.6b
(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
35.0b
(+.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (-.f64 (*.f64 x (fma.f64 (cos.f64 eps) -1/2 1/2)) (sin.f64 eps))))
39.2b
(log.f64 (/.f64 (exp.f64 (cos.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 (cos.f64 x)))))
39.5b
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
57.2b
(log.f64 (+.f64 1 (*.f64 -1 (*.f64 eps (sin.f64 x)))))
43.9b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (fma.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (/.f64 1 (-.f64 x eps)) (neg.f64 x)) 1/2))) -2)
40.6b
(*.f64 (cbrt.f64 (-.f64 (+.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 6)) 1)) -2)
49.9b
(-.f64 (pow.f64 (pow.f64 (cos.f64 eps) 1/3) 3) (cos.f64 x))
33.9b
(fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
46.7b
(*.f64 (exp.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 1/2 eps))))) -2)
37.9b
(*.f64 (*.f64 eps (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) -2)
26.1b
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (cos.f64 x))
40.6b
(*.f64 (cbrt.f64 (log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 6)))) -2)
31.4b
(*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))
38.9b
(-.f64 (cos.f64 eps) (cos.f64 x))
49.2b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (expm1.f64 (log1p.f64 eps)) 1/2))) -2)
39.3b
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
45.7b
(*.f64 eps (fma.f64 -1/2 eps (neg.f64 x)))
31.0b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (+.f64 (*.f64 1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))) -2)
36.7b
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 6)) -2)
36.8b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 x)) -2)
✓39.5b
(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
33.2b
(*.f64 (expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) -2)
37.9b
(*.f64 (sin.f64 x) (neg.f64 eps))
26.7b
(*.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x eps) x)))))) -2)
✓39.2b
(log.f64 (/.f64 (exp.f64 (cos.f64 (+.f64 x eps))) (exp.f64 (cos.f64 x))))
45.7b
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
26.6b
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
26.3b
(log.f64 (/.f64 (exp.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) (exp.f64 (cos.f64 x))))
56.2b
(sqrt.f64 (*.f64 4 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)))
33.9b
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) 3) -2)
39.7b
(*.f64 (-.f64 (+.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 1) -2)
48.9b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (cbrt.f64 (pow.f64 eps 3)) 1/2))) -2)
39.1b
(*.f64 3 (*.f64 1/3 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
43.8b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (*.f64 (*.f64 eps eps) (/.f64 1 eps)) 1/2))) -2)
52.7b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 (pow.f64 eps 3) (*.f64 eps eps)) 1/2))) -2)
✓39.1b
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
26.6b
(-.f64 (fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (cos.f64 x))
✓51.1b
(*.f64 -1/2 (*.f64 eps eps))
26.8b
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
26.1b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3)) (neg.f64 (cos.f64 x)))))
33.0b
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x eps) x))) 3))) -2)
56.3b
(log1p.f64 (sqrt.f64 (pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 2)))
26.9b
(-.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) 3) (cos.f64 x))
39.8b
(cbrt.f64 (log1p.f64 (expm1.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))))
15.2b
(*.f64 (pow.f64 (cbrt.f64 -2) 3) (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))
39.1b
(*.f64 1/3 (*.f64 3 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
57.1b
0
51.0b
(*.f64 eps (*.f64 eps (*.f64 -1/2 (cos.f64 x))))
✓39.5b
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
37.9b
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 eps (cos.f64 (*.f64 1/2 x)))) -2)
39.1b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 1/2 eps)))) 1)) -2)
13.7b
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))) -2)
14.2b
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 (+.f64 eps x)))) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps x))) (sin.f64 (*.f64 1/2 x))) 3)))) -2)
39.5b
(*.f64 (log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x eps) x))))))) -2)
31.6b
(fma.f64 (cos.f64 x) (*.f64 eps (*.f64 eps -1/2)) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))
39.8b
(log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) 3))
41.6b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x eps) 3)) (fma.f64 x x (*.f64 (+.f64 x eps) eps))) 1/2))) -2)
39.1b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (log.f64 (exp.f64 (sin.f64 (*.f64 1/2 eps))))) -2)
26.2b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) 3) (neg.f64 (cos.f64 x)))))
Compiler

Compiled 1548 to 1163 computations (24.9% saved)

regimes950.0ms (5%)

Counts
159 → 3
Calls
Call 1
Inputs
0
(*.f64 -1/2 (*.f64 eps eps))
(-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 eps eps))) 1)
(-.f64 (cos.f64 eps) 1)
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 eps (fma.f64 -1/2 eps (neg.f64 x)))
(*.f64 eps (*.f64 eps (*.f64 -1/2 (cos.f64 x))))
(*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps 1/24) -1/2)))
(*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps 1/24) -1/2)))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(*.f64 (/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps)))))) -2)
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)
(-.f64 (cos.f64 eps) (+.f64 1 (*.f64 x (sin.f64 eps))))
(log.f64 (+.f64 1 (*.f64 -1 (*.f64 eps (sin.f64 x)))))
(+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps))))
(*.f64 1/3 (*.f64 3 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(*.f64 1/3 (*.f64 3 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(*.f64 3 (*.f64 1/3 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
(*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))
(-.f64 (+.f64 1 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)) 1)
(*.f64 (-.f64 (+.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 1) -2)
(*.f64 (*.f64 eps (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 eps (cos.f64 (*.f64 1/2 x)))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 x)) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 (*.f64 eps eps) eps) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (/.f64 eps (*.f64 eps eps))) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (*.f64 (*.f64 eps eps) (/.f64 1 eps)) 1/2))) -2)
(expm1.f64 (log.f64 (cos.f64 eps)))
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 1))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) 1))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 6)) -2)
(sqrt.f64 (*.f64 4 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)))
(*.f64 (exp.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 1/2 eps))))) -2)
(*.f64 (exp.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 1/2 eps))))) -2)
(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
(*.f64 (cbrt.f64 (-.f64 (+.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 6)) 1)) -2)
(-.f64 (pow.f64 (+.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) 1)) 1) (cos.f64 x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (+.f64 (*.f64 1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 (pow.f64 eps 3) (*.f64 eps eps)) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (/.f64 (*.f64 eps eps) (pow.f64 eps 3))) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (fma.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (/.f64 1 (-.f64 x eps)) (neg.f64 x)) 1/2))) -2)
(-.f64 (exp.f64 (log.f64 (cos.f64 eps))) (cos.f64 x))
(cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 6)))
(-.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 3) (cos.f64 x))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))
(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (pow.f64 (pow.f64 (cos.f64 eps) 1/3) 3) (cos.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (exp.f64 (log.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
(*.f64 (expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) -2)
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
(-.f64 (pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 2) (cos.f64 x))
(*.f64 (expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) -2)
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3))
(-.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3)) (cos.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
(-.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (cos.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) 3) -2)
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3)) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) 3) -2)
(-.f64 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) 1) (cos.f64 x))
(*.f64 (log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))) -2)
(*.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x eps) x)))))) -2)
(+.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (-.f64 (*.f64 x (fma.f64 (cos.f64 eps) -1/2 1/2)) (sin.f64 eps))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (expm1.f64 (log1p.f64 eps)) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (log.f64 (exp.f64 (sin.f64 (*.f64 1/2 eps))))) -2)
(-.f64 (-.f64 (*.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1)) (*.f64 eps (sin.f64 x))) (cos.f64 x))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x eps) x)))) 2)) -2)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x eps) x))))) 3) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 eps))) 2)) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (pow.f64 (sqrt.f64 eps) 2) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (pow.f64 (cbrt.f64 eps) 3) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (cbrt.f64 (pow.f64 eps 3)) 1/2))) -2)
(fma.f64 (cos.f64 x) (*.f64 eps (*.f64 eps -1/2)) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))
(fma.f64 eps (*.f64 eps (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))
(*.f64 (log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x eps) x))))))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 1/2 eps)))) 1)) -2)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1)
(*.f64 (pow.f64 (cbrt.f64 -2) 3) (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))
(-.f64 (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (+.f64 -1/2 (*.f64 eps (*.f64 eps 1/24)))) (*.f64 (sin.f64 x) (fma.f64 (pow.f64 eps 3) -1/6 eps)))
(+.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)) (*.f64 (cos.f64 x) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (*.f64 eps eps)))))
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (sin.f64 (*.f64 1/2 eps))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))) -2)
(log.f64 (/.f64 (exp.f64 (cos.f64 eps)) (exp.f64 (cos.f64 x))))
(log1p.f64 (sqrt.f64 (pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 2)))
(log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) 3))
(cbrt.f64 (log1p.f64 (expm1.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))))
(log.f64 (/.f64 (exp.f64 (cos.f64 (+.f64 x eps))) (exp.f64 (cos.f64 x))))
(*.f64 (cbrt.f64 (log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 6)))) -2)
(log.f64 (*.f64 (exp.f64 (neg.f64 (cos.f64 x))) (exp.f64 (cos.f64 (+.f64 x eps)))))
(log.f64 (/.f64 (exp.f64 (cos.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 (cos.f64 x)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 x eps)))) (exp.f64 (cos.f64 x))))
(log.f64 (/.f64 (exp.f64 (cos.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 (cos.f64 x)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 x eps)))) (exp.f64 (cos.f64 x))))
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x eps) x))) 3))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 (+.f64 eps x)))) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps x))) (sin.f64 (*.f64 1/2 x))))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x eps) 3)) (fma.f64 x x (*.f64 (+.f64 x eps) eps))) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (+.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x eps) 1/2)) (cos.f64 (*.f64 x 1/2))) (*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (sin.f64 (*.f64 x 1/2))))) -2)
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))))
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (cos.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (cos.f64 x))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2) (cbrt.f64 (cos.f64 (+.f64 x eps))) (neg.f64 (cos.f64 x)))
(-.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) 3) (cos.f64 x))
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 (+.f64 eps x)))) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps x))) (sin.f64 (*.f64 1/2 x))) 3)))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (+.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x eps) 1/2)) (cos.f64 (*.f64 x 1/2))) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (sin.f64 (*.f64 x 1/2))) 3)))) -2)
(log.f64 (/.f64 (exp.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) (exp.f64 (cos.f64 x))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) 2) (neg.f64 (cos.f64 x)))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) 3) (neg.f64 (cos.f64 x)))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3)) (neg.f64 (cos.f64 x)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))) (exp.f64 (cos.f64 x))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 3))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (pow.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) 2)))
(log.f64 (/.f64 (exp.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (exp.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))
(-.f64 (fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (cos.f64 x))
(-.f64 (fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (cos.f64 x))
(-.f64 (fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (cos.f64 x))
(fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
(fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) 2) 3) (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (cos.f64 x))
(-.f64 (fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (cos.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) 2)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps x))) (cos.f64 (*.f64 1/2 x))) 3) (pow.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps x))) (sin.f64 (*.f64 1/2 x))) 3)) (sin.f64 (*.f64 1/2 eps))) (fma.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps x))) (sin.f64 (*.f64 1/2 x))) (sin.f64 (-.f64 (*.f64 1/2 x) (*.f64 1/2 (+.f64 eps x)))) (pow.f64 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps x))) (cos.f64 (*.f64 1/2 x))) 2))) -2)
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x eps) 1/2)) (cos.f64 (*.f64 x 1/2))) 3) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (sin.f64 (*.f64 x 1/2))) 3)) (sin.f64 (*.f64 eps 1/2))) (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x eps) 1/2)) (cos.f64 (*.f64 x 1/2))) 2) (*.f64 (*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (sin.f64 (*.f64 x 1/2))) (-.f64 (*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (sin.f64 (*.f64 x 1/2))) (*.f64 (sin.f64 (*.f64 (+.f64 x eps) 1/2)) (cos.f64 (*.f64 x 1/2))))))) -2)
(-.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 2) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 2) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))))) (cos.f64 x))
Outputs
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2)
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (cos.f64 x))
Calls

4 calls:

280.0ms
eps
236.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
208.0ms
x
157.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
ErrorSegmentsBranch
10.3b2x
0.5b3eps
5.0b3(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
5.0b3(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 2391 to 1180 computations (50.6% saved)

bsearch142.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
59.0ms
0.002847402336945821
0.02154039506233686
82.0ms
-0.0019391995777601862
-0.001140205663377386
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes1.0s (5.5%)

Counts
128 → 3
Calls
Call 1
Inputs
0
(*.f64 -1/2 (*.f64 eps eps))
(-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 eps eps))) 1)
(-.f64 (cos.f64 eps) 1)
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 eps (fma.f64 -1/2 eps (neg.f64 x)))
(*.f64 eps (*.f64 eps (*.f64 -1/2 (cos.f64 x))))
(*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps 1/24) -1/2)))
(*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps 1/24) -1/2)))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(*.f64 (/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps)))))) -2)
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)
(-.f64 (cos.f64 eps) (+.f64 1 (*.f64 x (sin.f64 eps))))
(log.f64 (+.f64 1 (*.f64 -1 (*.f64 eps (sin.f64 x)))))
(+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps))))
(*.f64 1/3 (*.f64 3 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(*.f64 1/3 (*.f64 3 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(*.f64 3 (*.f64 1/3 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
(*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))
(-.f64 (+.f64 1 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)) 1)
(*.f64 (-.f64 (+.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 1) -2)
(*.f64 (*.f64 eps (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 eps (cos.f64 (*.f64 1/2 x)))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 x)) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 (*.f64 eps eps) eps) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (/.f64 eps (*.f64 eps eps))) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (*.f64 (*.f64 eps eps) (/.f64 1 eps)) 1/2))) -2)
(expm1.f64 (log.f64 (cos.f64 eps)))
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 1))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) 1))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 6)) -2)
(sqrt.f64 (*.f64 4 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)))
(*.f64 (exp.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 1/2 eps))))) -2)
(*.f64 (exp.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 1/2 eps))))) -2)
(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
(*.f64 (cbrt.f64 (-.f64 (+.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 6)) 1)) -2)
(-.f64 (pow.f64 (+.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) 1)) 1) (cos.f64 x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (+.f64 (*.f64 1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 (pow.f64 eps 3) (*.f64 eps eps)) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (/.f64 (*.f64 eps eps) (pow.f64 eps 3))) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (fma.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (/.f64 1 (-.f64 x eps)) (neg.f64 x)) 1/2))) -2)
(-.f64 (exp.f64 (log.f64 (cos.f64 eps))) (cos.f64 x))
(cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 6)))
(-.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 3) (cos.f64 x))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))
(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (pow.f64 (pow.f64 (cos.f64 eps) 1/3) 3) (cos.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (exp.f64 (log.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
(*.f64 (expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) -2)
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
(-.f64 (pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 2) (cos.f64 x))
(*.f64 (expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) -2)
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3))
(-.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3)) (cos.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
(-.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (cos.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) 3) -2)
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3)) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) 3) -2)
(-.f64 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) 1) (cos.f64 x))
(*.f64 (log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))) -2)
(*.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x eps) x)))))) -2)
(+.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (-.f64 (*.f64 x (fma.f64 (cos.f64 eps) -1/2 1/2)) (sin.f64 eps))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (expm1.f64 (log1p.f64 eps)) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (log.f64 (exp.f64 (sin.f64 (*.f64 1/2 eps))))) -2)
(-.f64 (-.f64 (*.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1)) (*.f64 eps (sin.f64 x))) (cos.f64 x))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x eps) x)))) 2)) -2)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x eps) x))))) 3) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 eps))) 2)) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (pow.f64 (sqrt.f64 eps) 2) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (pow.f64 (cbrt.f64 eps) 3) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (cbrt.f64 (pow.f64 eps 3)) 1/2))) -2)
(fma.f64 (cos.f64 x) (*.f64 eps (*.f64 eps -1/2)) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))
(fma.f64 eps (*.f64 eps (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))
(*.f64 (log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x eps) x))))))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 1/2 eps)))) 1)) -2)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1)
(*.f64 (pow.f64 (cbrt.f64 -2) 3) (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))
(-.f64 (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (+.f64 -1/2 (*.f64 eps (*.f64 eps 1/24)))) (*.f64 (sin.f64 x) (fma.f64 (pow.f64 eps 3) -1/6 eps)))
(+.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)) (*.f64 (cos.f64 x) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (*.f64 eps eps)))))
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (sin.f64 (*.f64 1/2 eps))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))) -2)
(log.f64 (/.f64 (exp.f64 (cos.f64 eps)) (exp.f64 (cos.f64 x))))
(log1p.f64 (sqrt.f64 (pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 2)))
(log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) 3))
(cbrt.f64 (log1p.f64 (expm1.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))))
(log.f64 (/.f64 (exp.f64 (cos.f64 (+.f64 x eps))) (exp.f64 (cos.f64 x))))
(*.f64 (cbrt.f64 (log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 6)))) -2)
(log.f64 (*.f64 (exp.f64 (neg.f64 (cos.f64 x))) (exp.f64 (cos.f64 (+.f64 x eps)))))
(log.f64 (/.f64 (exp.f64 (cos.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 (cos.f64 x)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 x eps)))) (exp.f64 (cos.f64 x))))
(log.f64 (/.f64 (exp.f64 (cos.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 (cos.f64 x)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 x eps)))) (exp.f64 (cos.f64 x))))
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x eps) x))) 3))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 (+.f64 eps x)))) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps x))) (sin.f64 (*.f64 1/2 x))))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x eps) 3)) (fma.f64 x x (*.f64 (+.f64 x eps) eps))) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (+.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x eps) 1/2)) (cos.f64 (*.f64 x 1/2))) (*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (sin.f64 (*.f64 x 1/2))))) -2)
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))))
Outputs
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2)
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))))
Calls

4 calls:

311.0ms
eps
231.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
210.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
190.0ms
x
Results
ErrorSegmentsBranch
10.3b2x
0.5b3eps
5.0b3(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
5.0b3(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 1633 to 913 computations (44.1% saved)

bsearch161.0ms (0.8%)

Algorithm
2×binary-search
Steps
TimeLeftRight
78.0ms
0.002847402336945821
0.02154039506233686
81.0ms
-0.0019391995777601862
-0.001140205663377386
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes902.0ms (4.7%)

Counts
127 → 3
Calls
Call 1
Inputs
0
(*.f64 -1/2 (*.f64 eps eps))
(-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 eps eps))) 1)
(-.f64 (cos.f64 eps) 1)
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 eps (fma.f64 -1/2 eps (neg.f64 x)))
(*.f64 eps (*.f64 eps (*.f64 -1/2 (cos.f64 x))))
(*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps 1/24) -1/2)))
(*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps 1/24) -1/2)))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(*.f64 (/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps)))))) -2)
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)
(-.f64 (cos.f64 eps) (+.f64 1 (*.f64 x (sin.f64 eps))))
(log.f64 (+.f64 1 (*.f64 -1 (*.f64 eps (sin.f64 x)))))
(+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps))))
(*.f64 1/3 (*.f64 3 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(*.f64 1/3 (*.f64 3 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(*.f64 3 (*.f64 1/3 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
(*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))
(-.f64 (+.f64 1 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)) 1)
(*.f64 (-.f64 (+.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 1) -2)
(*.f64 (*.f64 eps (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 eps (cos.f64 (*.f64 1/2 x)))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 x)) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 (*.f64 eps eps) eps) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (/.f64 eps (*.f64 eps eps))) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (*.f64 (*.f64 eps eps) (/.f64 1 eps)) 1/2))) -2)
(expm1.f64 (log.f64 (cos.f64 eps)))
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 1))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) 1))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 6)) -2)
(sqrt.f64 (*.f64 4 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)))
(*.f64 (exp.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 1/2 eps))))) -2)
(*.f64 (exp.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 1/2 eps))))) -2)
(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
(*.f64 (cbrt.f64 (-.f64 (+.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 6)) 1)) -2)
(-.f64 (pow.f64 (+.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) 1)) 1) (cos.f64 x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (+.f64 (*.f64 1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 (pow.f64 eps 3) (*.f64 eps eps)) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (/.f64 (*.f64 eps eps) (pow.f64 eps 3))) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (fma.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (/.f64 1 (-.f64 x eps)) (neg.f64 x)) 1/2))) -2)
(-.f64 (exp.f64 (log.f64 (cos.f64 eps))) (cos.f64 x))
(cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 6)))
(-.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 3) (cos.f64 x))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))
(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (pow.f64 (pow.f64 (cos.f64 eps) 1/3) 3) (cos.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (exp.f64 (log.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
(*.f64 (expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) -2)
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
(-.f64 (pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 2) (cos.f64 x))
(*.f64 (expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) -2)
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3))
(-.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3)) (cos.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
(-.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (cos.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) 3) -2)
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3)) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) 3) -2)
(-.f64 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) 1) (cos.f64 x))
(*.f64 (log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))) -2)
(*.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x eps) x)))))) -2)
(+.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (-.f64 (*.f64 x (fma.f64 (cos.f64 eps) -1/2 1/2)) (sin.f64 eps))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (expm1.f64 (log1p.f64 eps)) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (log.f64 (exp.f64 (sin.f64 (*.f64 1/2 eps))))) -2)
(-.f64 (-.f64 (*.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1)) (*.f64 eps (sin.f64 x))) (cos.f64 x))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x eps) x)))) 2)) -2)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x eps) x))))) 3) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 eps))) 2)) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (pow.f64 (sqrt.f64 eps) 2) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (pow.f64 (cbrt.f64 eps) 3) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (cbrt.f64 (pow.f64 eps 3)) 1/2))) -2)
(fma.f64 (cos.f64 x) (*.f64 eps (*.f64 eps -1/2)) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))
(fma.f64 eps (*.f64 eps (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))
(*.f64 (log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x eps) x))))))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 1/2 eps)))) 1)) -2)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1)
(*.f64 (pow.f64 (cbrt.f64 -2) 3) (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))
(-.f64 (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (+.f64 -1/2 (*.f64 eps (*.f64 eps 1/24)))) (*.f64 (sin.f64 x) (fma.f64 (pow.f64 eps 3) -1/6 eps)))
(+.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)) (*.f64 (cos.f64 x) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (*.f64 eps eps)))))
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (sin.f64 (*.f64 1/2 eps))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))) -2)
(log.f64 (/.f64 (exp.f64 (cos.f64 eps)) (exp.f64 (cos.f64 x))))
(log1p.f64 (sqrt.f64 (pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 2)))
(log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) 3))
(cbrt.f64 (log1p.f64 (expm1.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))))
(log.f64 (/.f64 (exp.f64 (cos.f64 (+.f64 x eps))) (exp.f64 (cos.f64 x))))
(*.f64 (cbrt.f64 (log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 6)))) -2)
(log.f64 (*.f64 (exp.f64 (neg.f64 (cos.f64 x))) (exp.f64 (cos.f64 (+.f64 x eps)))))
(log.f64 (/.f64 (exp.f64 (cos.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 (cos.f64 x)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 x eps)))) (exp.f64 (cos.f64 x))))
(log.f64 (/.f64 (exp.f64 (cos.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 (cos.f64 x)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 x eps)))) (exp.f64 (cos.f64 x))))
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x eps) x))) 3))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 (+.f64 eps x)))) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps x))) (sin.f64 (*.f64 1/2 x))))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x eps) 3)) (fma.f64 x x (*.f64 (+.f64 x eps) eps))) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (+.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x eps) 1/2)) (cos.f64 (*.f64 x 1/2))) (*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (sin.f64 (*.f64 x 1/2))))) -2)
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
Outputs
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2)
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
Calls

4 calls:

337.0ms
eps
163.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
158.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
155.0ms
x
Results
ErrorSegmentsBranch
10.4b2x
0.5b3eps
5.0b3(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
5.0b3(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 1619 to 910 computations (43.8% saved)

bsearch102.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
48.0ms
0.002847402336945821
0.02154039506233686
53.0ms
-0.0019391995777601862
-0.001140205663377386
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes398.0ms (2.1%)

Counts
118 → 1
Calls
Call 1
Inputs
0
(*.f64 -1/2 (*.f64 eps eps))
(-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 eps eps))) 1)
(-.f64 (cos.f64 eps) 1)
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 eps (fma.f64 -1/2 eps (neg.f64 x)))
(*.f64 eps (*.f64 eps (*.f64 -1/2 (cos.f64 x))))
(*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps 1/24) -1/2)))
(*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps 1/24) -1/2)))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(*.f64 (/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps)))))) -2)
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)
(-.f64 (cos.f64 eps) (+.f64 1 (*.f64 x (sin.f64 eps))))
(log.f64 (+.f64 1 (*.f64 -1 (*.f64 eps (sin.f64 x)))))
(+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps))))
(*.f64 1/3 (*.f64 3 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(*.f64 1/3 (*.f64 3 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(*.f64 3 (*.f64 1/3 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
(*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))
(-.f64 (+.f64 1 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)) 1)
(*.f64 (-.f64 (+.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 1) -2)
(*.f64 (*.f64 eps (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 eps (cos.f64 (*.f64 1/2 x)))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 x)) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 (*.f64 eps eps) eps) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (/.f64 eps (*.f64 eps eps))) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (*.f64 (*.f64 eps eps) (/.f64 1 eps)) 1/2))) -2)
(expm1.f64 (log.f64 (cos.f64 eps)))
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 1))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) 1))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 6)) -2)
(sqrt.f64 (*.f64 4 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)))
(*.f64 (exp.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 1/2 eps))))) -2)
(*.f64 (exp.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 1/2 eps))))) -2)
(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
(*.f64 (cbrt.f64 (-.f64 (+.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 6)) 1)) -2)
(-.f64 (pow.f64 (+.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) 1)) 1) (cos.f64 x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (+.f64 (*.f64 1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 (pow.f64 eps 3) (*.f64 eps eps)) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (/.f64 (*.f64 eps eps) (pow.f64 eps 3))) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (fma.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (/.f64 1 (-.f64 x eps)) (neg.f64 x)) 1/2))) -2)
(-.f64 (exp.f64 (log.f64 (cos.f64 eps))) (cos.f64 x))
(cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 6)))
(-.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 3) (cos.f64 x))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))
(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (pow.f64 (pow.f64 (cos.f64 eps) 1/3) 3) (cos.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (exp.f64 (log.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
(*.f64 (expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) -2)
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
(-.f64 (pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 2) (cos.f64 x))
(*.f64 (expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) -2)
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3))
(-.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3)) (cos.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
(-.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (cos.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) 3) -2)
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3)) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) 3) -2)
(-.f64 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) 1) (cos.f64 x))
(*.f64 (log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))) -2)
(*.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x eps) x)))))) -2)
(+.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (-.f64 (*.f64 x (fma.f64 (cos.f64 eps) -1/2 1/2)) (sin.f64 eps))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (expm1.f64 (log1p.f64 eps)) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (log.f64 (exp.f64 (sin.f64 (*.f64 1/2 eps))))) -2)
(-.f64 (-.f64 (*.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1)) (*.f64 eps (sin.f64 x))) (cos.f64 x))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x eps) x)))) 2)) -2)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x eps) x))))) 3) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 eps))) 2)) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (pow.f64 (sqrt.f64 eps) 2) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (pow.f64 (cbrt.f64 eps) 3) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (cbrt.f64 (pow.f64 eps 3)) 1/2))) -2)
(fma.f64 (cos.f64 x) (*.f64 eps (*.f64 eps -1/2)) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))
(fma.f64 eps (*.f64 eps (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))
(*.f64 (log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x eps) x))))))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 1/2 eps)))) 1)) -2)
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2)))) 1)
(*.f64 (pow.f64 (cbrt.f64 -2) 3) (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))
(-.f64 (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (+.f64 -1/2 (*.f64 eps (*.f64 eps 1/24)))) (*.f64 (sin.f64 x) (fma.f64 (pow.f64 eps 3) -1/6 eps)))
(+.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)) (*.f64 (cos.f64 x) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (*.f64 eps eps)))))
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (sin.f64 (*.f64 1/2 eps))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))) -2)
(log.f64 (/.f64 (exp.f64 (cos.f64 eps)) (exp.f64 (cos.f64 x))))
(log1p.f64 (sqrt.f64 (pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 2)))
(log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) 3))
(cbrt.f64 (log1p.f64 (expm1.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))))
(log.f64 (/.f64 (exp.f64 (cos.f64 (+.f64 x eps))) (exp.f64 (cos.f64 x))))
(*.f64 (cbrt.f64 (log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 6)))) -2)
(log.f64 (*.f64 (exp.f64 (neg.f64 (cos.f64 x))) (exp.f64 (cos.f64 (+.f64 x eps)))))
(log.f64 (/.f64 (exp.f64 (cos.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 (cos.f64 x)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 x eps)))) (exp.f64 (cos.f64 x))))
(log.f64 (/.f64 (exp.f64 (cos.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 (cos.f64 x)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 x eps)))) (exp.f64 (cos.f64 x))))
Outputs
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))) -2)
Calls

4 calls:

135.0ms
x
84.0ms
eps
54.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
37.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
ErrorSegmentsBranch
13.7b1x
13.7b1eps
13.7b1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
13.7b1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 1435 to 828 computations (42.3% saved)

regimes363.0ms (1.9%)

Counts
31 → 3
Calls
Call 1
Inputs
0
(*.f64 -1/2 (*.f64 eps eps))
(-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 eps eps))) 1)
(-.f64 (cos.f64 eps) 1)
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 eps (fma.f64 -1/2 eps (neg.f64 x)))
(*.f64 eps (*.f64 eps (*.f64 -1/2 (cos.f64 x))))
(*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps 1/24) -1/2)))
(*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps 1/24) -1/2)))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(*.f64 (/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps)))))) -2)
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)
(-.f64 (cos.f64 eps) (+.f64 1 (*.f64 x (sin.f64 eps))))
(log.f64 (+.f64 1 (*.f64 -1 (*.f64 eps (sin.f64 x)))))
(+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps))))
(*.f64 1/3 (*.f64 3 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(*.f64 1/3 (*.f64 3 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(*.f64 3 (*.f64 1/3 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
(*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))
(-.f64 (+.f64 1 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)) 1)
(*.f64 (-.f64 (+.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 1) -2)
(*.f64 (*.f64 eps (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 eps (cos.f64 (*.f64 1/2 x)))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 x)) -2)
Outputs
(-.f64 (cos.f64 eps) (cos.f64 x))
(*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))
(-.f64 (cos.f64 eps) (cos.f64 x))
Calls

4 calls:

118.0ms
x
79.0ms
eps
75.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
73.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
ErrorSegmentsBranch
17.7b3x
13.0b3eps
13.2b3(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
13.2b3(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 307 to 191 computations (37.8% saved)

bsearch176.0ms (0.9%)

Algorithm
2×binary-search
Steps
TimeLeftRight
89.0ms
1.1268120518731243e-6
0.002847402336945821
87.0ms
-0.9303548950018607
-0.0019391995777601862
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes460.0ms (2.4%)

Counts
25 → 3
Calls
Call 1
Inputs
0
(*.f64 -1/2 (*.f64 eps eps))
(-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 eps eps))) 1)
(-.f64 (cos.f64 eps) 1)
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 eps (fma.f64 -1/2 eps (neg.f64 x)))
(*.f64 eps (*.f64 eps (*.f64 -1/2 (cos.f64 x))))
(*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps 1/24) -1/2)))
(*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps 1/24) -1/2)))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(*.f64 (/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps)))))) -2)
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)
(-.f64 (cos.f64 eps) (+.f64 1 (*.f64 x (sin.f64 eps))))
(log.f64 (+.f64 1 (*.f64 -1 (*.f64 eps (sin.f64 x)))))
(+.f64 (cos.f64 eps) (-.f64 -1 (*.f64 x (sin.f64 eps))))
(*.f64 1/3 (*.f64 3 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(*.f64 1/3 (*.f64 3 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(*.f64 3 (*.f64 1/3 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
Outputs
(*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)
Calls

4 calls:

179.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
120.0ms
eps
105.0ms
x
42.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
ErrorSegmentsBranch
18.7b3x
17.8b3eps
19.5b3(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
19.5b3(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 233 to 136 computations (41.6% saved)

bsearch420.0ms (2.2%)

Algorithm
2×binary-search
Steps
TimeLeftRight
221.0ms
3.904703325838417e-111
5.355384035360862e-108
199.0ms
-1.1063543140823851e-53
-6.6328602300110235e-56
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes354.0ms (1.9%)

Counts
14 → 4
Calls
Call 1
Inputs
0
(*.f64 -1/2 (*.f64 eps eps))
(-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 eps eps))) 1)
(-.f64 (cos.f64 eps) 1)
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 eps (fma.f64 -1/2 eps (neg.f64 x)))
(*.f64 eps (*.f64 eps (*.f64 -1/2 (cos.f64 x))))
(*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps 1/24) -1/2)))
(*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps 1/24) -1/2)))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(*.f64 (/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps)))))) -2)
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Outputs
(-.f64 (cos.f64 eps) (cos.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(-.f64 (cos.f64 eps) (cos.f64 x))
Calls

4 calls:

146.0ms
eps
106.0ms
x
73.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
20.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
ErrorSegmentsBranch
22.1b7x
17.0b4eps
19.8b3(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
19.8b3(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 127 to 79 computations (37.8% saved)

bsearch303.0ms (1.6%)

Algorithm
3×binary-search
Steps
TimeLeftRight
48.0ms
1.1268120518731243e-6
0.002847402336945821
139.0ms
3.904703325838417e-111
5.355384035360862e-108
116.0ms
-0.001140205663377386
-1.906803960405498e-18
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes118.0ms (0.6%)

Counts
11 → 4
Calls
Call 1
Inputs
0
(*.f64 -1/2 (*.f64 eps eps))
(-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 eps eps))) 1)
(-.f64 (cos.f64 eps) 1)
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 eps (fma.f64 -1/2 eps (neg.f64 x)))
(*.f64 eps (*.f64 eps (*.f64 -1/2 (cos.f64 x))))
(*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps 1/24) -1/2)))
(*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps 1/24) -1/2)))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(*.f64 (/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps)))))) -2)
Outputs
(-.f64 (cos.f64 eps) 1)
(*.f64 (sin.f64 x) (neg.f64 eps))
(+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2)))
(-.f64 (cos.f64 eps) 1)
Calls

2 calls:

63.0ms
eps
52.0ms
x
Results
ErrorSegmentsBranch
22.1b7x
17.9b4eps
Compiler

Compiled 92 to 63 computations (31.5% saved)

bsearch299.0ms (1.6%)

Algorithm
3×binary-search
Steps
TimeLeftRight
67.0ms
1.1268120518731243e-6
0.002847402336945821
146.0ms
3.904703325838417e-111
5.355384035360862e-108
86.0ms
-0.001140205663377386
-1.906803960405498e-18
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes114.0ms (0.6%)

Counts
9 → 4
Calls
Call 1
Inputs
0
(*.f64 -1/2 (*.f64 eps eps))
(-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 eps eps))) 1)
(-.f64 (cos.f64 eps) 1)
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 eps (fma.f64 -1/2 eps (neg.f64 x)))
(*.f64 eps (*.f64 eps (*.f64 -1/2 (cos.f64 x))))
(*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps 1/24) -1/2)))
(*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps 1/24) -1/2)))
Outputs
(-.f64 (cos.f64 eps) 1)
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 eps (fma.f64 -1/2 eps (neg.f64 x)))
(-.f64 (cos.f64 eps) 1)
Calls

2 calls:

86.0ms
x
25.0ms
eps
Results
ErrorSegmentsBranch
22.1b7x
17.9b4eps
Compiler

Compiled 67 to 43 computations (35.8% saved)

bsearch346.0ms (1.8%)

Algorithm
3×binary-search
Steps
TimeLeftRight
49.0ms
1.1268120518731243e-6
0.002847402336945821
244.0ms
3.904703325838417e-111
5.355384035360862e-108
53.0ms
-0.001140205663377386
-1.906803960405498e-18
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes39.0ms (0.2%)

Counts
5 → 4
Calls
Call 1
Inputs
0
(*.f64 -1/2 (*.f64 eps eps))
(-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 eps eps))) 1)
(-.f64 (cos.f64 eps) 1)
(*.f64 (sin.f64 x) (neg.f64 eps))
Outputs
(-.f64 (cos.f64 eps) 1)
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 -1/2 (*.f64 eps eps))
(-.f64 (cos.f64 eps) 1)
Calls

2 calls:

21.0ms
x
17.0ms
eps
Results
ErrorSegmentsBranch
23.3b5x
18.5b4eps
Compiler

Compiled 32 to 22 computations (31.3% saved)

bsearch279.0ms (1.5%)

Algorithm
3×binary-search
Steps
TimeLeftRight
79.0ms
1.1268120518731243e-6
0.002847402336945821
147.0ms
3.904703325838417e-111
5.355384035360862e-108
52.0ms
-0.001140205663377386
-1.906803960405498e-18
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes25.0ms (0.1%)

Counts
4 → 3
Calls
Call 1
Inputs
0
(*.f64 -1/2 (*.f64 eps eps))
(-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 eps eps))) 1)
(-.f64 (cos.f64 eps) 1)
Outputs
(-.f64 (cos.f64 eps) 1)
(*.f64 -1/2 (*.f64 eps eps))
(-.f64 (cos.f64 eps) 1)
Calls

2 calls:

12.0ms
eps
11.0ms
x
Results
ErrorSegmentsBranch
37.9b3x
33.4b3eps
Compiler

Compiled 27 to 19 computations (29.6% saved)

bsearch148.0ms (0.8%)

Algorithm
2×binary-search
Steps
TimeLeftRight
48.0ms
1.1268120518731243e-6
0.002847402336945821
100.0ms
-0.001140205663377386
-1.906803960405498e-18
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes10.0ms (0%)

Accuracy

Total -6.7b remaining (-13.1%)

Threshold costs -6.7b (-13.1%)

Counts
3 → 1
Calls
Call 1
Inputs
0
(*.f64 -1/2 (*.f64 eps eps))
(-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 eps eps))) 1)
Outputs
(*.f64 -1/2 (*.f64 eps eps))
Calls

2 calls:

5.0ms
x
4.0ms
eps
Results
ErrorSegmentsBranch
51.1b1x
51.1b1eps
Compiler

Compiled 23 to 16 computations (30.4% saved)

simplify33.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
32×*-commutative_binary64
23×+-commutative_binary64
18×sub-neg_binary64
10×neg-sub0_binary64
9×neg-mul-1_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0103615
1160611
2203611
3220611
4227611
5228611
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 eps -8942979579696945/4611686018427387904) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))) (if (<=.f64 eps 820707846633157/288230376151711744) (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2) (-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (cos.f64 x))))
(if (<=.f64 eps -8942979579696945/4611686018427387904) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))) (if (<=.f64 eps 820707846633157/288230376151711744) (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))))))
(if (<=.f64 eps -8942979579696945/4611686018427387904) (-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) (if (<=.f64 eps 820707846633157/288230376151711744) (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2) (-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))))
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))) -2)
(if (<=.f64 eps -4189945958452697/4503599627370496) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 2660609733129607/2361183241434822606848) (*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -4772360528421301/431359146674410236714672241392314090778194310760649159697657763987456) (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2) (if (<=.f64 eps 5286353796916471/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)))
(if (<=.f64 eps -41080238405697/36028797018963968) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 5286353796916471/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (*.f64 (sin.f64 x) (neg.f64 eps)) (if (<=.f64 eps 2660609733129607/2361183241434822606848) (+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2))) (-.f64 (cos.f64 eps) (cos.f64 x)))))
(if (<=.f64 eps -41080238405697/36028797018963968) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 5286353796916471/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (*.f64 (sin.f64 x) (neg.f64 eps)) (if (<=.f64 eps 2660609733129607/2361183241434822606848) (+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2))) (-.f64 (cos.f64 eps) 1))))
(if (<=.f64 eps -41080238405697/36028797018963968) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 5286353796916471/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (*.f64 (sin.f64 x) (neg.f64 eps)) (if (<=.f64 eps 2660609733129607/2361183241434822606848) (*.f64 eps (fma.f64 -1/2 eps (neg.f64 x))) (-.f64 (cos.f64 eps) 1))))
(if (<=.f64 eps -41080238405697/36028797018963968) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 5286353796916471/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (*.f64 (sin.f64 x) (neg.f64 eps)) (if (<=.f64 eps 2660609733129607/2361183241434822606848) (*.f64 -1/2 (*.f64 eps eps)) (-.f64 (cos.f64 eps) 1))))
(if (<=.f64 eps -41080238405697/36028797018963968) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 2660609733129607/2361183241434822606848) (*.f64 -1/2 (*.f64 eps eps)) (-.f64 (cos.f64 eps) 1)))
(*.f64 -1/2 (*.f64 eps eps))
0
Outputs
(if (<=.f64 eps -8942979579696945/4611686018427387904) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))) (if (<=.f64 eps 820707846633157/288230376151711744) (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2) (-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (cos.f64 x))))
(if (<=.f64 eps -8942979579696945/4611686018427387904) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))) (if (<=.f64 eps 820707846633157/288230376151711744) (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x))))) -2) (-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))))
(if (<=.f64 eps -8942979579696945/4611686018427387904) (fma.f64 (cos.f64 x) (cos.f64 eps) (-.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))) (if (<=.f64 eps 820707846633157/288230376151711744) (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x))))) -2) (-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))))
(if (<=.f64 eps -8942979579696945/4611686018427387904) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))) (if (<=.f64 eps 820707846633157/288230376151711744) (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))))))
(if (<=.f64 eps -8942979579696945/4611686018427387904) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))) (if (<=.f64 eps 820707846633157/288230376151711744) (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x))))) -2) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))))
(if (<=.f64 eps -8942979579696945/4611686018427387904) (fma.f64 (cos.f64 x) (cos.f64 eps) (-.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))) (if (<=.f64 eps 820707846633157/288230376151711744) (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x))))) -2) (fma.f64 (cos.f64 x) (cos.f64 eps) (-.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)))))
(if (<=.f64 eps -8942979579696945/4611686018427387904) (-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) (if (<=.f64 eps 820707846633157/288230376151711744) (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2) (-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))))
(if (<=.f64 eps -8942979579696945/4611686018427387904) (-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) (if (<=.f64 eps 820707846633157/288230376151711744) (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x))))) -2) (-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))))
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))) -2)
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 eps 1/2))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))) (sin.f64 (*.f64 eps 1/2))))
(if (<=.f64 eps -4189945958452697/4503599627370496) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 2660609733129607/2361183241434822606848) (*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -4772360528421301/431359146674410236714672241392314090778194310760649159697657763987456) (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2) (if (<=.f64 eps 5286353796916471/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)))
(if (<=.f64 eps -4772360528421301/431359146674410236714672241392314090778194310760649159697657763987456) (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)) (if (<=.f64 eps 5286353796916471/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))))
(if (<=.f64 eps -4772360528421301/431359146674410236714672241392314090778194310760649159697657763987456) (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)) (if (<=.f64 eps 5286353796916471/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))))
(if (<=.f64 eps -41080238405697/36028797018963968) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 5286353796916471/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (*.f64 (sin.f64 x) (neg.f64 eps)) (if (<=.f64 eps 2660609733129607/2361183241434822606848) (+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2))) (-.f64 (cos.f64 eps) (cos.f64 x)))))
(if (<=.f64 eps -41080238405697/36028797018963968) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 5286353796916471/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (*.f64 (sin.f64 x) (neg.f64 eps)) (if (<=.f64 eps 2660609733129607/2361183241434822606848) (+.f64 (neg.f64 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2))) (-.f64 (cos.f64 eps) (cos.f64 x)))))
(if (<=.f64 eps -41080238405697/36028797018963968) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 5286353796916471/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (*.f64 (sin.f64 x) (neg.f64 eps)) (if (<=.f64 eps 2660609733129607/2361183241434822606848) (-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps x)) (-.f64 (cos.f64 eps) (cos.f64 x)))))
(if (<=.f64 eps -41080238405697/36028797018963968) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 5286353796916471/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (*.f64 eps (neg.f64 (sin.f64 x))) (if (<=.f64 eps 2660609733129607/2361183241434822606848) (-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps x)) (-.f64 (cos.f64 eps) (cos.f64 x)))))
(if (<=.f64 eps -41080238405697/36028797018963968) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 5286353796916471/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (*.f64 (sin.f64 x) (neg.f64 eps)) (if (<=.f64 eps 2660609733129607/2361183241434822606848) (+.f64 (*.f64 -1 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2))) (-.f64 (cos.f64 eps) 1))))
(if (<=.f64 eps -41080238405697/36028797018963968) (+.f64 (cos.f64 eps) -1) (if (<=.f64 eps 5286353796916471/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (*.f64 (sin.f64 x) (neg.f64 eps)) (if (<=.f64 eps 2660609733129607/2361183241434822606848) (+.f64 (neg.f64 (*.f64 eps x)) (*.f64 -1/2 (pow.f64 eps 2))) (+.f64 (cos.f64 eps) -1))))
(if (<=.f64 eps -41080238405697/36028797018963968) (+.f64 (cos.f64 eps) -1) (if (<=.f64 eps 5286353796916471/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (*.f64 (sin.f64 x) (neg.f64 eps)) (if (<=.f64 eps 2660609733129607/2361183241434822606848) (-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps x)) (+.f64 (cos.f64 eps) -1))))
(if (<=.f64 eps -41080238405697/36028797018963968) (+.f64 (cos.f64 eps) -1) (if (<=.f64 eps 5286353796916471/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (*.f64 eps (neg.f64 (sin.f64 x))) (if (<=.f64 eps 2660609733129607/2361183241434822606848) (-.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 eps x)) (+.f64 (cos.f64 eps) -1))))
(if (<=.f64 eps -41080238405697/36028797018963968) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 5286353796916471/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (*.f64 (sin.f64 x) (neg.f64 eps)) (if (<=.f64 eps 2660609733129607/2361183241434822606848) (*.f64 eps (fma.f64 -1/2 eps (neg.f64 x))) (-.f64 (cos.f64 eps) 1))))
(if (<=.f64 eps -41080238405697/36028797018963968) (+.f64 (cos.f64 eps) -1) (if (<=.f64 eps 5286353796916471/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (*.f64 (sin.f64 x) (neg.f64 eps)) (if (<=.f64 eps 2660609733129607/2361183241434822606848) (*.f64 eps (fma.f64 -1/2 eps (neg.f64 x))) (+.f64 (cos.f64 eps) -1))))
(if (<=.f64 eps -41080238405697/36028797018963968) (+.f64 (cos.f64 eps) -1) (if (<=.f64 eps 5286353796916471/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (*.f64 eps (neg.f64 (sin.f64 x))) (if (<=.f64 eps 2660609733129607/2361183241434822606848) (*.f64 eps (fma.f64 -1/2 eps (neg.f64 x))) (+.f64 (cos.f64 eps) -1))))
(if (<=.f64 eps -41080238405697/36028797018963968) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 5286353796916471/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (*.f64 (sin.f64 x) (neg.f64 eps)) (if (<=.f64 eps 2660609733129607/2361183241434822606848) (*.f64 -1/2 (*.f64 eps eps)) (-.f64 (cos.f64 eps) 1))))
(if (<=.f64 eps -41080238405697/36028797018963968) (+.f64 (cos.f64 eps) -1) (if (<=.f64 eps 5286353796916471/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (*.f64 (sin.f64 x) (neg.f64 eps)) (if (<=.f64 eps 2660609733129607/2361183241434822606848) (*.f64 -1/2 (*.f64 eps eps)) (+.f64 (cos.f64 eps) -1))))
(if (<=.f64 eps -41080238405697/36028797018963968) (+.f64 (cos.f64 eps) -1) (if (<=.f64 eps 5286353796916471/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (*.f64 eps (neg.f64 (sin.f64 x))) (if (<=.f64 eps 2660609733129607/2361183241434822606848) (*.f64 -1/2 (*.f64 eps eps)) (+.f64 (cos.f64 eps) -1))))
(if (<=.f64 eps -41080238405697/36028797018963968) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 2660609733129607/2361183241434822606848) (*.f64 -1/2 (*.f64 eps eps)) (-.f64 (cos.f64 eps) 1)))
(if (<=.f64 eps -41080238405697/36028797018963968) (+.f64 (cos.f64 eps) -1) (if (<=.f64 eps 2660609733129607/2361183241434822606848) (*.f64 -1/2 (*.f64 eps eps)) (+.f64 (cos.f64 eps) -1)))
(*.f64 -1/2 (*.f64 eps eps))
0
Compiler

Compiled 423 to 262 computations (38.1% saved)

soundness0.0ms (0%)

end262.0ms (1.4%)

Compiler

Compiled 399 to 191 computations (52.1% saved)

Profiling

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