Details

Time bar (total: 22.1s)

analyze0.0ms (0%)

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

Compiled 10 to 7 computations (30% saved)

sample5.8s (26.2%)

Results
2.9s4015×body1024valid
2.2s2097×body2048valid
523.0ms1359×body512valid
126.0ms780×body256valid
8.0ms5×body4096valid
Bogosity

preprocess61.0ms (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)

simplify16.0ms (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
40.5b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶40.5b
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize10.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.9b
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓1.0b
(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))
0.0ms
eps
@0
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
0.0ms
x
@0
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

rewrite112.0ms (0.5%)

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)))))))

simplify72.0ms (0.3%)

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))

eval116.0ms (0.5%)

Compiler

Compiled 3964 to 1199 computations (69.8% saved)

prune170.0ms (0.8%)

Pruning

42 alts after pruning (42 fresh and 0 done)

PrunedKeptTotal
New17742219
Fresh000
Picked101
Done000
Total17842220
Error
0.2b
Counts
220 → 42
Alt Table
Click to see full alt table
StatusErrorProgram
57.6b
(-.f64 (-.f64 (*.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1)) (*.f64 eps (sin.f64 x))) (cos.f64 x))
28.1b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
40.7b
(/.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))))
▶40.6b
(-.f64 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) 1) (cos.f64 x))
30.2b
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
28.6b
(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)))))
▶40.5b
(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
28.1b
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
36.2b
(*.f64 (sin.f64 x) (neg.f64 eps))
28.5b
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
58.1b
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2))
48.7b
(fma.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))) (neg.f64 (cos.f64 x)))
▶12.3b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2)
58.1b
(-.f64 (cos.f64 x) (cos.f64 x))
28.1b
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (cos.f64 x))
40.6b
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
13.8b
(*.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))))
28.1b
(fma.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
47.5b
(expm1.f64 (log1p.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
40.7b
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
28.8b
(-.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (cos.f64 x))
40.6b
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
48.5b
(-.f64 (exp.f64 (log.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
41.4b
(-.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)
40.6b
(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
40.9b
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) 1))
40.7b
(log.f64 (*.f64 (exp.f64 (neg.f64 (cos.f64 x))) (exp.f64 (cos.f64 (+.f64 x eps)))))
40.9b
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
41.2b
(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
35.4b
(-.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))
40.7b
(-.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3)) (cos.f64 x))
30.3b
(+.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)))))
40.2b
(-.f64 (cos.f64 eps) (cos.f64 x))
40.7b
(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
30.3b
(fma.f64 eps (*.f64 eps (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))
28.9b
(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)))))
45.9b
(-.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (cos.f64 x))
▶28.1b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
28.5b
(-.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))
30.2b
(*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))
40.6b
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3))
▶40.3b
(-.f64 (cos.f64 eps) 1)
Compiler

Compiled 1348 to 892 computations (33.8% saved)

localize44.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 x (+.f64 x eps))
✓0.2b
(*.f64 (+.f64 x (+.f64 x eps)) 1/2)
✓0.3b
(*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))
✓1.0b
(sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))
Compiler

Compiled 88 to 34 computations (61.4% saved)

series25.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
7.0ms
eps
@-inf
(*.f64 (+.f64 x (+.f64 x eps)) 1/2)
2.0ms
eps
@inf
(*.f64 (+.f64 x (+.f64 x eps)) 1/2)
2.0ms
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
@inf
(*.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))

rewrite119.0ms (0.5%)

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
01352
130920
2479020
Stop Event
1×node limit
Counts
4 → 236
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 (+.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) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 eps eps) (/.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 (*.f64 eps eps) (/.f64 1 eps) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 eps eps) (/.f64 1 eps) (neg.f64 (/.f64 0 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (+.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (-.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (-.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) 2) (fma.f64 (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 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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)))))))

simplify118.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
642×fma-neg_binary64
585×fma-def_binary64
505×neg-sub0_binary64
460×neg-mul-1_binary64
360×unswap-sqr_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0911091
12591079
2714952
32756930
45957927
Stop Event
1×node limit
Counts
332 → 282
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)))
(*.f64 1/2 eps)
(+.f64 (*.f64 1/2 eps) x)
(+.f64 (*.f64 1/2 eps) x)
(+.f64 (*.f64 1/2 eps) x)
x
(+.f64 (*.f64 1/2 eps) x)
(+.f64 (*.f64 1/2 eps) x)
(+.f64 (*.f64 1/2 eps) x)
x
(+.f64 (*.f64 1/2 eps) x)
(+.f64 (*.f64 1/2 eps) x)
(+.f64 (*.f64 1/2 eps) x)
x
(+.f64 (*.f64 1/2 eps) x)
(+.f64 (*.f64 1/2 eps) x)
(+.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 eps)
(+.f64 (*.f64 1/2 eps) x)
(+.f64 (*.f64 1/2 eps) x)
(+.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 eps)
(+.f64 (*.f64 1/2 eps) x)
(+.f64 (*.f64 1/2 eps) x)
(+.f64 (*.f64 1/2 eps) x)
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 (*.f64 -1/2 (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 x (*.f64 x -1/2))) (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 (*.f64 -1/2 (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 x (*.f64 x -1/2))) (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)
(+.f64 (*.f64 1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))
(fma.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)))
(fma.f64 -1/8 (*.f64 (sin.f64 x) (*.f64 eps eps)) (fma.f64 1/2 (*.f64 eps (cos.f64 x)) (sin.f64 x)))
(fma.f64 1/2 (*.f64 eps (cos.f64 x)) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 eps eps)) 1) (sin.f64 x)))
(fma.f64 1/2 (*.f64 eps (cos.f64 x)) (*.f64 (+.f64 1 (*.f64 eps (*.f64 eps -1/8))) (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))))
(fma.f64 -1/8 (*.f64 (sin.f64 x) (*.f64 eps eps)) (fma.f64 -1/48 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (fma.f64 1/2 (*.f64 eps (cos.f64 x)) (sin.f64 x))))
(fma.f64 -1/8 (*.f64 (sin.f64 x) (*.f64 eps eps)) (+.f64 (sin.f64 x) (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/48 (pow.f64 eps 3)) (*.f64 1/2 eps)))))
(fma.f64 (sin.f64 x) (*.f64 -1/8 (*.f64 eps eps)) (fma.f64 (cos.f64 x) (fma.f64 -1/48 (pow.f64 eps 3) (*.f64 1/2 eps)) (sin.f64 x)))
(fma.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/8)) (fma.f64 (cos.f64 x) (fma.f64 -1/48 (pow.f64 eps 3) (*.f64 1/2 eps)) (sin.f64 x)))
(fma.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/8)) (fma.f64 (cos.f64 x) (fma.f64 1/2 eps (*.f64 -1/48 (pow.f64 eps 3))) (sin.f64 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 (*.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)))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (fma.f64 1/2 eps x))
(*.f64 1/2 (*.f64 eps (sin.f64 x)))
(*.f64 (*.f64 1/2 eps) (sin.f64 x))
(*.f64 eps (*.f64 1/2 (sin.f64 x)))
(+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 1/2 (*.f64 eps (sin.f64 x))))
(fma.f64 1/4 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 1/2 (*.f64 eps (sin.f64 x))))
(fma.f64 1/2 (*.f64 eps (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 (*.f64 1/4 eps) eps)))
(fma.f64 1/2 (*.f64 eps (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps 1/4))))
(*.f64 eps (+.f64 (*.f64 1/4 (*.f64 eps (cos.f64 x))) (*.f64 1/2 (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)))))
(fma.f64 1/4 (*.f64 (cos.f64 x) (*.f64 eps eps)) (fma.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) -1/12) (*.f64 1/2 (*.f64 eps (sin.f64 x)))))
(fma.f64 1/4 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 1/2 (*.f64 eps (sin.f64 x)) (*.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) -1/12))))
(fma.f64 (cos.f64 x) (*.f64 eps (*.f64 eps 1/4)) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/2 eps) (*.f64 (pow.f64 eps 3) -1/12))))
(*.f64 eps (+.f64 (*.f64 eps (*.f64 (cos.f64 x) 1/4)) (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 (*.f64 eps eps) -1/12)))))
(fma.f64 (cos.f64 x) (*.f64 eps (*.f64 eps 1/4)) (*.f64 (sin.f64 x) (fma.f64 (pow.f64 eps 3) -1/12 (*.f64 1/2 eps))))
(+.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))))))
(fma.f64 1/4 (*.f64 (cos.f64 x) (*.f64 eps eps)) (fma.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) -1/12) (fma.f64 -1/48 (*.f64 (cos.f64 x) (pow.f64 eps 4)) (*.f64 1/2 (*.f64 eps (sin.f64 x))))))
(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 -1/48 (*.f64 (cos.f64 x) (pow.f64 eps 4))))))
(fma.f64 (cos.f64 x) (*.f64 eps (*.f64 eps 1/4)) (fma.f64 (cos.f64 x) (*.f64 -1/48 (pow.f64 eps 4)) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/2 eps) (*.f64 (pow.f64 eps 3) -1/12)))))
(+.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 (*.f64 eps eps) -1/12)))) (*.f64 (cos.f64 x) (+.f64 (*.f64 eps (*.f64 eps 1/4)) (*.f64 -1/48 (pow.f64 eps 4)))))
(+.f64 (*.f64 (sin.f64 x) (fma.f64 (pow.f64 eps 3) -1/12 (*.f64 1/2 eps))) (*.f64 (cos.f64 x) (+.f64 (*.f64 eps (*.f64 eps 1/4)) (*.f64 -1/48 (pow.f64 eps 4)))))
(*.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)))))
(+.f64 (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 -1/2 (*.f64 (*.f64 x x) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (cos.f64 (*.f64 1/2 eps)) x (sin.f64 (*.f64 1/2 eps)))) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 (*.f64 x x) -1/2)))
(fma.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (*.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) 1) (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 (*.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (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 (*.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 (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)) (fma.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 (*.f64 x x) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (cos.f64 (*.f64 1/2 eps)) x (sin.f64 (*.f64 1/2 eps)))) (fma.f64 -1/6 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3))) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 (*.f64 x x) -1/2))))
(+.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 x (*.f64 x -1/2))) (*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (cos.f64 (*.f64 1/2 eps)) x (fma.f64 (pow.f64 x 3) (*.f64 (cos.f64 (*.f64 1/2 eps)) -1/6) (sin.f64 (*.f64 1/2 eps))))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (sin.f64 (*.f64 1/2 eps))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 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 (+.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 (-.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 1/2 eps)
(+.f64 (*.f64 1/2 eps) x)
(fma.f64 1/2 eps x)
(+.f64 (*.f64 1/2 eps) x)
(fma.f64 1/2 eps x)
(+.f64 (*.f64 1/2 eps) x)
(fma.f64 1/2 eps x)
x
(+.f64 (*.f64 1/2 eps) x)
(fma.f64 1/2 eps x)
(+.f64 (*.f64 1/2 eps) x)
(fma.f64 1/2 eps x)
(+.f64 (*.f64 1/2 eps) x)
(fma.f64 1/2 eps x)
x
(+.f64 (*.f64 1/2 eps) x)
(fma.f64 1/2 eps x)
(+.f64 (*.f64 1/2 eps) x)
(fma.f64 1/2 eps x)
(+.f64 (*.f64 1/2 eps) x)
(fma.f64 1/2 eps x)
x
(+.f64 (*.f64 1/2 eps) x)
(fma.f64 1/2 eps x)
(+.f64 (*.f64 1/2 eps) x)
(fma.f64 1/2 eps x)
(+.f64 (*.f64 1/2 eps) x)
(fma.f64 1/2 eps x)
(*.f64 1/2 eps)
(+.f64 (*.f64 1/2 eps) x)
(fma.f64 1/2 eps x)
(+.f64 (*.f64 1/2 eps) x)
(fma.f64 1/2 eps x)
(+.f64 (*.f64 1/2 eps) x)
(fma.f64 1/2 eps x)
(*.f64 1/2 eps)
(+.f64 (*.f64 1/2 eps) x)
(fma.f64 1/2 eps x)
(+.f64 (*.f64 1/2 eps) x)
(fma.f64 1/2 eps x)
(+.f64 (*.f64 1/2 eps) x)
(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)

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.8b
(-.f64 (cos.f64 eps) 1)
Compiler

Compiled 10 to 6 computations (40% saved)

series2.0ms (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)

rewrite57.0ms (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)))))

simplify105.0ms (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)))))

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
0.9b
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓0.9b
(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
1.0b
(cos.f64 (+.f64 x eps))
Compiler

Compiled 37 to 8 computations (78.4% saved)

series6.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite93.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
483×log-prod_binary64
468×fma-def_binary64
301×pow-prod-down_binary64
286×pow2_binary64
244×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0924
119824
2296124
Stop Event
1×node limit
Counts
2 → 194
Calls
Call 1
Inputs
(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
Outputs
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(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2)) (cbrt.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))) (cbrt.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2)) (cbrt.f64 -2)) (cbrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))) (sqrt.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) 1) (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (cbrt.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2))) (sqrt.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (sqrt.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))) (sqrt.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (sqrt.f64 -2)) (sqrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (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 pow.f64 (pow.f64 (exp.f64 1) (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 pow.f64 (pow.f64 (exp.f64 1) (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 pow.f64 (pow.f64 (exp.f64 1) -2) (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (-.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 pow.f64 (pow.f64 (exp.f64 1) (-.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 pow.f64 (pow.f64 (exp.f64 1) (+.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 pow.f64 (pow.f64 (exp.f64 1) (*.f64 -2 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)))) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 -2) 1) (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 -2) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 -2) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 -2) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))) 2)) (cbrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 -2) (sqrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))) (sqrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (exp.f64 (*.f64 2 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.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 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))))))

simplify92.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
683×fma-def_binary64
587×distribute-rgt-out_binary64
581×associate-*r*_binary64
546×associate-*l*_binary64
310×unsub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0103906
1320883
21001820
35552803
Stop Event
1×node limit
Counts
242 → 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 (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))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(+.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) (*.f64 -1 (*.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) (*.f64 (sin.f64 eps) x))))
(+.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) (*.f64 (sin.f64 eps) x))) (*.f64 (+.f64 1/2 (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 eps) 2)) (*.f64 -1/2 (cos.f64 eps)))) (*.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) (pow.f64 x 2)))))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 eps) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))))) (+.f64 (*.f64 1/6 (sin.f64 eps)) (*.f64 -1/6 (pow.f64 (sin.f64 eps) 3)))) (*.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) (pow.f64 x 3))) (+.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) (*.f64 (sin.f64 eps) x))) (*.f64 (+.f64 1/2 (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 eps) 2)) (*.f64 -1/2 (cos.f64 eps)))) (*.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) (pow.f64 x 2))))))
(exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(exp.f64 (-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)))
(exp.f64 (-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)))
(exp.f64 (-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)))
(exp.f64 (-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (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)))))))
(exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(exp.f64 (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)))
(exp.f64 (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)))
(exp.f64 (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)))
(exp.f64 (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)))
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 (*.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 x (sin.f64 eps)) (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (*.f64 x x))) 1))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 x (*.f64 x (fma.f64 (cos.f64 eps) -1/2 1/2))) (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 (+.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 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)))) -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) (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 (+.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)))
(fma.f64 (*.f64 -1/2 (*.f64 eps eps)) (cos.f64 x) (*.f64 eps (neg.f64 (sin.f64 x))))
(*.f64 eps (-.f64 (*.f64 eps (*.f64 -1/2 (cos.f64 x))) (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))))
(fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (fma.f64 (*.f64 -1/2 (*.f64 eps eps)) (cos.f64 x) (*.f64 eps (neg.f64 (sin.f64 x)))))
(fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 eps (-.f64 (*.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x))))
(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)) (fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (fma.f64 (*.f64 -1/2 (*.f64 eps eps)) (cos.f64 x) (*.f64 eps (neg.f64 (sin.f64 x))))))
(fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (fma.f64 (cos.f64 x) (*.f64 1/24 (pow.f64 eps 4)) (*.f64 eps (-.f64 (*.f64 eps (*.f64 -1/2 (cos.f64 x))) (sin.f64 x)))))
(+.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)) (*.f64 (cos.f64 x) (+.f64 (*.f64 eps (*.f64 eps -1/2)) (*.f64 1/24 (pow.f64 eps 4)))))
(-.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))
(exp.f64 (-.f64 (cos.f64 eps) 1))
(exp.f64 (+.f64 (cos.f64 eps) -1))
(+.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) (*.f64 -1 (*.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) (*.f64 (sin.f64 eps) x))))
(+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) (neg.f64 (*.f64 (*.f64 x (sin.f64 eps)) (exp.f64 (+.f64 (cos.f64 eps) -1)))))
(-.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (*.f64 x (exp.f64 (+.f64 (cos.f64 eps) -1)))))
(*.f64 (+.f64 (*.f64 (sin.f64 eps) (neg.f64 x)) 1) (exp.f64 (+.f64 (cos.f64 eps) -1)))
(*.f64 (+.f64 (*.f64 x (sin.f64 (neg.f64 eps))) 1) (exp.f64 (+.f64 (cos.f64 eps) -1)))
(+.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) (*.f64 (sin.f64 eps) x))) (*.f64 (+.f64 1/2 (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 eps) 2)) (*.f64 -1/2 (cos.f64 eps)))) (*.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) (pow.f64 x 2)))))
(+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) (fma.f64 -1 (*.f64 (*.f64 x (sin.f64 eps)) (exp.f64 (+.f64 (cos.f64 eps) -1))) (*.f64 (+.f64 1/2 (fma.f64 1/2 (pow.f64 (sin.f64 eps) 2) (*.f64 (cos.f64 eps) -1/2))) (*.f64 (*.f64 x x) (exp.f64 (+.f64 (cos.f64 eps) -1))))))
(+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) (-.f64 (*.f64 (*.f64 x x) (*.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) (+.f64 1/2 (fma.f64 (cos.f64 eps) -1/2 (*.f64 1/2 (pow.f64 (sin.f64 eps) 2)))))) (*.f64 (sin.f64 eps) (*.f64 x (exp.f64 (+.f64 (cos.f64 eps) -1))))))
(+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) (*.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) (-.f64 (*.f64 (*.f64 x x) (fma.f64 (cos.f64 eps) -1/2 (fma.f64 1/2 (pow.f64 (sin.f64 eps) 2) 1/2))) (*.f64 x (sin.f64 eps)))))
(*.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) (-.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 (cos.f64 eps) -1/2 (fma.f64 1/2 (pow.f64 (sin.f64 eps) 2) 1/2))) 1) (*.f64 x (sin.f64 eps))))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (sin.f64 eps) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))))) (+.f64 (*.f64 1/6 (sin.f64 eps)) (*.f64 -1/6 (pow.f64 (sin.f64 eps) 3)))) (*.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) (pow.f64 x 3))) (+.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) (+.f64 (*.f64 -1 (*.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) (*.f64 (sin.f64 eps) x))) (*.f64 (+.f64 1/2 (+.f64 (*.f64 1/2 (pow.f64 (sin.f64 eps) 2)) (*.f64 -1/2 (cos.f64 eps)))) (*.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)) (pow.f64 x 2))))))
(fma.f64 (fma.f64 -1 (*.f64 (sin.f64 eps) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))) (fma.f64 1/6 (sin.f64 eps) (*.f64 -1/6 (pow.f64 (sin.f64 eps) 3)))) (*.f64 (pow.f64 x 3) (exp.f64 (+.f64 (cos.f64 eps) -1))) (+.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) (fma.f64 -1 (*.f64 (*.f64 x (sin.f64 eps)) (exp.f64 (+.f64 (cos.f64 eps) -1))) (*.f64 (+.f64 1/2 (fma.f64 1/2 (pow.f64 (sin.f64 eps) 2) (*.f64 (cos.f64 eps) -1/2))) (*.f64 (*.f64 x x) (exp.f64 (+.f64 (cos.f64 eps) -1)))))))
(+.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) (+.f64 1/2 (fma.f64 (cos.f64 eps) -1/2 (*.f64 1/2 (pow.f64 (sin.f64 eps) 2)))))) (*.f64 (sin.f64 eps) (*.f64 x (exp.f64 (+.f64 (cos.f64 eps) -1))))) (fma.f64 (-.f64 (fma.f64 (sin.f64 eps) 1/6 (*.f64 -1/6 (pow.f64 (sin.f64 eps) 3))) (*.f64 (sin.f64 eps) (fma.f64 (cos.f64 eps) -1/2 1/2))) (*.f64 (pow.f64 x 3) (exp.f64 (+.f64 (cos.f64 eps) -1))) (exp.f64 (+.f64 (cos.f64 eps) -1))))
(+.f64 (*.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) (-.f64 (*.f64 (*.f64 x x) (fma.f64 (cos.f64 eps) -1/2 (fma.f64 1/2 (pow.f64 (sin.f64 eps) 2) 1/2))) (*.f64 x (sin.f64 eps)))) (*.f64 (+.f64 (*.f64 (pow.f64 x 3) (fma.f64 -1/6 (pow.f64 (sin.f64 eps) 3) (*.f64 (sin.f64 eps) (+.f64 (neg.f64 (fma.f64 (cos.f64 eps) -1/2 1/2)) 1/6)))) 1) (exp.f64 (+.f64 (cos.f64 eps) -1))))
(+.f64 (*.f64 (*.f64 x (exp.f64 (+.f64 (cos.f64 eps) -1))) (-.f64 (*.f64 (fma.f64 (cos.f64 eps) -1/2 (fma.f64 1/2 (pow.f64 (sin.f64 eps) 2) 1/2)) x) (sin.f64 eps))) (*.f64 (+.f64 (*.f64 (pow.f64 x 3) (fma.f64 -1/6 (pow.f64 (sin.f64 eps) 3) (*.f64 (sin.f64 eps) (-.f64 1/6 (fma.f64 (cos.f64 eps) -1/2 1/2))))) 1) (exp.f64 (+.f64 (cos.f64 eps) -1))))
(exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(exp.f64 (-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)))
(exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(exp.f64 (-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)))
(exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(exp.f64 (-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)))
(exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(exp.f64 (-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (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 (sin.f64 x) (neg.f64 eps) 1)
(+.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 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 eps (fma.f64 1/2 (pow.f64 (sin.f64 x) 2) (*.f64 -1/2 (cos.f64 x)))) (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 eps (fma.f64 1/2 (pow.f64 (sin.f64 x) 2) (*.f64 -1/2 (cos.f64 x)))) (sin.f64 x))) (fma.f64 (pow.f64 eps 3) (fma.f64 (sin.f64 x) (fma.f64 1/2 (cos.f64 x) 1/6) (*.f64 -1/6 (pow.f64 (sin.f64 x) 3))) 1))
(+.f64 1 (fma.f64 (pow.f64 eps 3) (fma.f64 (sin.f64 x) (fma.f64 1/2 (cos.f64 x) 1/6) (*.f64 -1/6 (pow.f64 (sin.f64 x) 3))) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 1/2 (pow.f64 (sin.f64 x) 2) (*.f64 -1/2 (cos.f64 x)))) (sin.f64 x)))))
(exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(exp.f64 (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)))
(exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(exp.f64 (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)))
(exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(exp.f64 (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)))
(exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(exp.f64 (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)))
(exp.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))

localize40.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(log1p.f64 (cos.f64 (+.f64 x eps)))
✓0.5b
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) 1)
1.0b
(cos.f64 (+.f64 x eps))
✓13.4b
(-.f64 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) 1) (cos.f64 x))
Compiler

Compiled 44 to 13 computations (70.5% saved)

series229.0ms (1%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
113.0ms
eps
@-inf
(-.f64 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) 1) (cos.f64 x))
45.0ms
x
@-inf
(-.f64 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) 1) (cos.f64 x))
27.0ms
x
@inf
(-.f64 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) 1) (cos.f64 x))
25.0ms
eps
@inf
(-.f64 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) 1) (cos.f64 x))
7.0ms
eps
@0
(-.f64 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) 1) (cos.f64 x))

rewrite128.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
518×log-prod_binary64
487×fma-def_binary64
342×pow-prod-down_binary64
333×fma-neg_binary64
308×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01125
124825
2332125
Stop Event
1×node limit
Counts
3 → 249
Calls
Call 1
Inputs
(-.f64 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) 1) (cos.f64 x))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) 1)
(log1p.f64 (cos.f64 (+.f64 x eps)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (cos.f64 (+.f64 x eps))) (neg.f64 (+.f64 1 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (cos.f64 (+.f64 x eps))) (-.f64 -1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (cos.f64 (+.f64 x eps))) (+.f64 -1 (neg.f64 (cos.f64 x))))))) (#(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 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simplify106.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
779×distribute-rgt-in_binary64
773×distribute-lft-in_binary64
574×times-frac_binary64
475×associate-/l*_binary64
314×associate-/r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01912665
16462394
226812103
Stop Event
1×node limit
Counts
321 → 305
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 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) 1) 2))) (*.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) 1) 2)))))) (+.f64 (cos.f64 eps) 1))) (pow.f64 x 2)))) 1)
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 1/6 (+.f64 (*.f64 -3 (/.f64 (*.f64 (cos.f64 eps) (sin.f64 eps)) (pow.f64 (+.f64 (cos.f64 eps) 1) 2))) (+.f64 (/.f64 (sin.f64 eps) (+.f64 (cos.f64 eps) 1)) (*.f64 -2 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (+.f64 (cos.f64 eps) 1) 3)))))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) 1) 2)))) (sin.f64 eps)) (+.f64 (cos.f64 eps) 1))) (*.f64 -1/6 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (+.f64 (cos.f64 eps) 1) 3))))) (*.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) 1) 2))) (*.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) 1) 2)))))) (+.f64 (cos.f64 eps) 1))) (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 (+.f64 (cos.f64 x) 1) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2))) (*.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2)))))))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 (+.f64 (cos.f64 x) 1) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2))) (*.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2)))))))) (+.f64 (*.f64 (+.f64 (cos.f64 x) 1) (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 (cos.f64 x) 1) 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2))))) (+.f64 (cos.f64 x) 1))) (*.f64 1/6 (+.f64 (*.f64 -3 (/.f64 (*.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 (+.f64 (cos.f64 x) 1) 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 (cos.f64 x) 1) 3))) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) 1))))))))) (*.f64 -1 (*.f64 eps (sin.f64 x)))))
(+.f64 (*.f64 (+.f64 (cos.f64 x) 1) (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 (+.f64 (*.f64 -3 (/.f64 (*.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 (+.f64 (cos.f64 x) 1) 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 (cos.f64 x) 1) 3))) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) 1)))) (sin.f64 x)) (+.f64 (cos.f64 x) 1))) (+.f64 (*.f64 1/24 (+.f64 (*.f64 4 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2))) (+.f64 (/.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1)) (+.f64 (*.f64 -3 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2))) (+.f64 (*.f64 -6 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (+.f64 (cos.f64 x) 1) 4))) (*.f64 -12 (/.f64 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)) (pow.f64 (+.f64 (cos.f64 x) 1) 3)))))))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (+.f64 (cos.f64 x) 1) 4))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2))))) (pow.f64 (+.f64 (cos.f64 x) 1) 2))) (*.f64 1/8 (pow.f64 (+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2)))) 2)))))))) (+.f64 (*.f64 (+.f64 (cos.f64 x) 1) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2))) (*.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2)))))))) (+.f64 (*.f64 (+.f64 (cos.f64 x) 1) (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 (cos.f64 x) 1) 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2))))) (+.f64 (cos.f64 x) 1))) (*.f64 1/6 (+.f64 (*.f64 -3 (/.f64 (*.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 (+.f64 (cos.f64 x) 1) 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 (cos.f64 x) 1) 3))) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) 1))))))))) (*.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 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) 1) 2))) (*.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) 1) 2)))))) (*.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 x 2)))))
(+.f64 (*.f64 (+.f64 (*.f64 1/6 (+.f64 (*.f64 -3 (/.f64 (*.f64 (cos.f64 eps) (sin.f64 eps)) (pow.f64 (+.f64 (cos.f64 eps) 1) 2))) (+.f64 (/.f64 (sin.f64 eps) (+.f64 (cos.f64 eps) 1)) (*.f64 -2 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (+.f64 (cos.f64 eps) 1) 3)))))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) 1) 2)))) (sin.f64 eps)) (+.f64 (cos.f64 eps) 1))) (*.f64 -1/6 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (+.f64 (cos.f64 eps) 1) 3))))) (*.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) 1) 2))) (*.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) 1) 2)))))) (*.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 x 2))))))
(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 (*.f64 (+.f64 (cos.f64 x) 1) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2))) (*.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2)))))))) (+.f64 (cos.f64 x) (*.f64 -1 (*.f64 eps (sin.f64 x)))))
(+.f64 (*.f64 (+.f64 (cos.f64 x) 1) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2))) (*.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2)))))))) (+.f64 (cos.f64 x) (+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 (+.f64 (cos.f64 x) 1) (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 (cos.f64 x) 1) 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2))))) (+.f64 (cos.f64 x) 1))) (*.f64 1/6 (+.f64 (*.f64 -3 (/.f64 (*.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 (+.f64 (cos.f64 x) 1) 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 (cos.f64 x) 1) 3))) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) 1))))))))))))
(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)))
(log.f64 (+.f64 (cos.f64 eps) 1))
(+.f64 (log.f64 (+.f64 (cos.f64 eps) 1)) (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) x) (+.f64 (cos.f64 eps) 1))))
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) 1) 2)))) (pow.f64 x 2))) (+.f64 (log.f64 (+.f64 (cos.f64 eps) 1)) (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) x) (+.f64 (cos.f64 eps) 1)))))
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) 1) 2)))) (pow.f64 x 2))) (+.f64 (log.f64 (+.f64 (cos.f64 eps) 1)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) x) (+.f64 (cos.f64 eps) 1))) (*.f64 1/6 (*.f64 (+.f64 (*.f64 -3 (/.f64 (*.f64 (cos.f64 eps) (sin.f64 eps)) (pow.f64 (+.f64 (cos.f64 eps) 1) 2))) (+.f64 (/.f64 (sin.f64 eps) (+.f64 (cos.f64 eps) 1)) (*.f64 -2 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (+.f64 (cos.f64 eps) 1) 3))))) (pow.f64 x 3))))))
(log.f64 (+.f64 1 (cos.f64 (+.f64 eps x))))
(log.f64 (+.f64 1 (cos.f64 (+.f64 eps x))))
(log.f64 (+.f64 1 (cos.f64 (+.f64 eps x))))
(log.f64 (+.f64 1 (cos.f64 (+.f64 eps x))))
(log.f64 (+.f64 1 (cos.f64 (-.f64 eps (*.f64 -1 x)))))
(log.f64 (+.f64 1 (cos.f64 (-.f64 eps (*.f64 -1 x)))))
(log.f64 (+.f64 1 (cos.f64 (-.f64 eps (*.f64 -1 x)))))
(log.f64 (+.f64 1 (cos.f64 (-.f64 eps (*.f64 -1 x)))))
(log.f64 (+.f64 (cos.f64 x) 1))
(+.f64 (log.f64 (+.f64 (cos.f64 x) 1)) (*.f64 -1 (/.f64 (*.f64 eps (sin.f64 x)) (+.f64 (cos.f64 x) 1))))
(+.f64 (log.f64 (+.f64 (cos.f64 x) 1)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2)))))) (*.f64 -1 (/.f64 (*.f64 eps (sin.f64 x)) (+.f64 (cos.f64 x) 1)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -3 (/.f64 (*.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 (+.f64 (cos.f64 x) 1) 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 (cos.f64 x) 1) 3))) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) 1)))))) (+.f64 (log.f64 (+.f64 (cos.f64 x) 1)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2)))))) (*.f64 -1 (/.f64 (*.f64 eps (sin.f64 x)) (+.f64 (cos.f64 x) 1))))))
(log.f64 (+.f64 1 (cos.f64 (+.f64 eps x))))
(log.f64 (+.f64 1 (cos.f64 (+.f64 eps x))))
(log.f64 (+.f64 1 (cos.f64 (+.f64 eps x))))
(log.f64 (+.f64 1 (cos.f64 (+.f64 eps x))))
(log.f64 (+.f64 1 (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(log.f64 (+.f64 1 (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(log.f64 (+.f64 1 (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(log.f64 (+.f64 1 (cos.f64 (-.f64 x (*.f64 -1 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 (neg.f64 (sin.f64 eps)) -1))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) 1) 2))) (*.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) 1) 2)))))) (+.f64 (cos.f64 eps) 1))) (pow.f64 x 2)))) 1)
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 -1 (*.f64 x (sin.f64 eps)) (*.f64 (+.f64 1/2 (*.f64 (+.f64 (cos.f64 eps) 1) (*.f64 1/2 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) 1) 2)) (*.f64 -1 (+.f64 (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) 1) 2)))))))) (*.f64 x x))) 1))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 x (*.f64 x (fma.f64 (+.f64 (cos.f64 eps) 1) (fma.f64 1/2 (*.f64 (tan.f64 (/.f64 eps 2)) (tan.f64 (/.f64 eps 2))) (*.f64 -1/2 (+.f64 (*.f64 (tan.f64 (/.f64 eps 2)) (tan.f64 (/.f64 eps 2))) (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1))))) 1/2))) (fma.f64 (neg.f64 x) (sin.f64 eps) -1)))
(+.f64 (*.f64 x (-.f64 (*.f64 (fma.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (*.f64 (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1)) -1/2) (*.f64 (*.f64 (tan.f64 (/.f64 eps 2)) (tan.f64 (/.f64 eps 2))) 0)) 1/2) x) (sin.f64 eps))) (+.f64 (cos.f64 eps) -1))
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 1/6 (+.f64 (*.f64 -3 (/.f64 (*.f64 (cos.f64 eps) (sin.f64 eps)) (pow.f64 (+.f64 (cos.f64 eps) 1) 2))) (+.f64 (/.f64 (sin.f64 eps) (+.f64 (cos.f64 eps) 1)) (*.f64 -2 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (+.f64 (cos.f64 eps) 1) 3)))))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) 1) 2)))) (sin.f64 eps)) (+.f64 (cos.f64 eps) 1))) (*.f64 -1/6 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (+.f64 (cos.f64 eps) 1) 3))))) (*.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (+.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) 1) 2))) (*.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) 1) 2)))))) (+.f64 (cos.f64 eps) 1))) (pow.f64 x 2))))) 1)
(+.f64 (fma.f64 (fma.f64 1/6 (fma.f64 -3 (/.f64 (*.f64 (cos.f64 eps) (sin.f64 eps)) (pow.f64 (+.f64 (cos.f64 eps) 1) 2)) (+.f64 (/.f64 (sin.f64 eps) (+.f64 (cos.f64 eps) 1)) (*.f64 -2 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (+.f64 (cos.f64 eps) 1) 3))))) (fma.f64 -1/2 (/.f64 (*.f64 -1 (+.f64 (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) 1) 2)))) (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 eps))) (/.f64 (*.f64 -1/6 (pow.f64 (sin.f64 eps) 3)) (pow.f64 (+.f64 (cos.f64 eps) 1) 3)))) (*.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 x 3)) (+.f64 (cos.f64 eps) (fma.f64 -1 (*.f64 x (sin.f64 eps)) (*.f64 (+.f64 1/2 (*.f64 (+.f64 (cos.f64 eps) 1) (*.f64 1/2 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) 1) 2)) (*.f64 -1 (+.f64 (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) 1) 2)))))))) (*.f64 x x))))) -1)
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(-.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)
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(-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps)))
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(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 (*.f64 (+.f64 (cos.f64 x) 1) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2))) (*.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2)))))))) (+.f64 (cos.f64 x) (*.f64 -1 (*.f64 eps (sin.f64 x)))))
(fma.f64 (+.f64 1 (cos.f64 x)) (*.f64 (*.f64 eps eps) (*.f64 1/2 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (fma.f64 -1 (/.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 1 (cos.f64 x)) 2))))))) (+.f64 (cos.f64 x) (*.f64 (neg.f64 eps) (sin.f64 x))))
(fma.f64 (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 eps eps)) (fma.f64 1/2 (*.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (*.f64 -1/2 (+.f64 (*.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (/.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))))) (-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))))
(-.f64 (fma.f64 (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 eps eps)) (+.f64 (*.f64 -1/2 (/.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))) (*.f64 (*.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) 0)) (cos.f64 x)) (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 (+.f64 (cos.f64 x) 1) (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2))) (*.f64 1/2 (+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2)))))))) (+.f64 (cos.f64 x) (+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 (+.f64 (cos.f64 x) 1) (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 (cos.f64 x) 1) 3))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2))))) (+.f64 (cos.f64 x) 1))) (*.f64 1/6 (+.f64 (*.f64 -3 (/.f64 (*.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 (+.f64 (cos.f64 x) 1) 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 (cos.f64 x) 1) 3))) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) 1))))))))))))
(fma.f64 (+.f64 1 (cos.f64 x)) (*.f64 (*.f64 eps eps) (*.f64 1/2 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (fma.f64 -1 (/.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 1 (cos.f64 x)) 2))))))) (+.f64 (cos.f64 x) (fma.f64 (+.f64 1 (cos.f64 x)) (*.f64 (pow.f64 eps 3) (fma.f64 -1/6 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (fma.f64 -1/2 (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 x)) (fma.f64 -1 (/.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 1 (cos.f64 x)) 2)))))) (*.f64 1/6 (fma.f64 -3 (/.f64 (*.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (fma.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x))))))))) (*.f64 (neg.f64 eps) (sin.f64 x)))))
(+.f64 (cos.f64 x) (-.f64 (*.f64 (+.f64 1 (cos.f64 x)) (+.f64 (*.f64 eps (*.f64 eps (fma.f64 1/2 (*.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (*.f64 -1/2 (+.f64 (*.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (/.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))))))) (*.f64 (pow.f64 eps 3) (fma.f64 -1/6 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (fma.f64 -1/2 (*.f64 (tan.f64 (/.f64 x 2)) (-.f64 (/.f64 (neg.f64 (cos.f64 x)) (+.f64 1 (cos.f64 x))) (*.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))))) (*.f64 1/6 (fma.f64 -3 (*.f64 (/.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) (tan.f64 (/.f64 x 2))) (fma.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (tan.f64 (/.f64 x 2)))))))))) (*.f64 eps (sin.f64 x))))
(+.f64 (cos.f64 x) (-.f64 (*.f64 (+.f64 1 (cos.f64 x)) (*.f64 (*.f64 eps eps) (+.f64 (+.f64 (*.f64 -1/2 (/.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))) (*.f64 (*.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) 0)) (*.f64 (fma.f64 -1/6 (pow.f64 (tan.f64 (/.f64 x 2)) 3) (fma.f64 1/6 (fma.f64 -3 (*.f64 (/.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) (tan.f64 (/.f64 x 2))) (fma.f64 -2 (pow.f64 (tan.f64 (/.f64 x 2)) 3) (tan.f64 (/.f64 x 2)))) (*.f64 -1/2 (-.f64 (/.f64 (/.f64 (neg.f64 (cos.f64 x)) (+.f64 1 (cos.f64 x))) (/.f64 (+.f64 1 (cos.f64 x)) (sin.f64 x))) (pow.f64 (tan.f64 (/.f64 x 2)) 3))))) eps)))) (*.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 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))
(log.f64 (+.f64 (cos.f64 eps) 1))
(log1p.f64 (cos.f64 eps))
(+.f64 (log.f64 (+.f64 (cos.f64 eps) 1)) (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) x) (+.f64 (cos.f64 eps) 1))))
(+.f64 (log.f64 (+.f64 (cos.f64 eps) 1)) (/.f64 (neg.f64 (*.f64 x (sin.f64 eps))) (+.f64 (cos.f64 eps) 1)))
(-.f64 (log1p.f64 (cos.f64 eps)) (*.f64 (tan.f64 (/.f64 eps 2)) x))
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) 1) 2)))) (pow.f64 x 2))) (+.f64 (log.f64 (+.f64 (cos.f64 eps) 1)) (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) x) (+.f64 (cos.f64 eps) 1)))))
(fma.f64 1/2 (*.f64 (*.f64 -1 (+.f64 (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) 1) 2)))) (*.f64 x x)) (+.f64 (log.f64 (+.f64 (cos.f64 eps) 1)) (/.f64 (neg.f64 (*.f64 x (sin.f64 eps))) (+.f64 (cos.f64 eps) 1))))
(-.f64 (fma.f64 (*.f64 -1/2 (+.f64 (*.f64 (tan.f64 (/.f64 eps 2)) (tan.f64 (/.f64 eps 2))) (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1)))) (*.f64 x x) (log1p.f64 (cos.f64 eps))) (*.f64 (tan.f64 (/.f64 eps 2)) x))
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) 1) 2)))) (pow.f64 x 2))) (+.f64 (log.f64 (+.f64 (cos.f64 eps) 1)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (sin.f64 eps) x) (+.f64 (cos.f64 eps) 1))) (*.f64 1/6 (*.f64 (+.f64 (*.f64 -3 (/.f64 (*.f64 (cos.f64 eps) (sin.f64 eps)) (pow.f64 (+.f64 (cos.f64 eps) 1) 2))) (+.f64 (/.f64 (sin.f64 eps) (+.f64 (cos.f64 eps) 1)) (*.f64 -2 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (+.f64 (cos.f64 eps) 1) 3))))) (pow.f64 x 3))))))
(fma.f64 1/2 (*.f64 (*.f64 -1 (+.f64 (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1)) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 (cos.f64 eps) 1) 2)))) (*.f64 x x)) (+.f64 (log.f64 (+.f64 (cos.f64 eps) 1)) (fma.f64 -1 (/.f64 (*.f64 x (sin.f64 eps)) (+.f64 (cos.f64 eps) 1)) (*.f64 1/6 (*.f64 (fma.f64 -3 (/.f64 (*.f64 (cos.f64 eps) (sin.f64 eps)) (pow.f64 (+.f64 (cos.f64 eps) 1) 2)) (+.f64 (/.f64 (sin.f64 eps) (+.f64 (cos.f64 eps) 1)) (*.f64 -2 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (+.f64 (cos.f64 eps) 1) 3))))) (pow.f64 x 3))))))
(+.f64 (-.f64 (fma.f64 (*.f64 -1/2 (+.f64 (*.f64 (tan.f64 (/.f64 eps 2)) (tan.f64 (/.f64 eps 2))) (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1)))) (*.f64 x x) (log1p.f64 (cos.f64 eps))) (*.f64 (tan.f64 (/.f64 eps 2)) x)) (*.f64 1/6 (*.f64 (fma.f64 -3 (*.f64 (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1)) (tan.f64 (/.f64 eps 2))) (fma.f64 -2 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (+.f64 (cos.f64 eps) 1) 3)) (tan.f64 (/.f64 eps 2)))) (pow.f64 x 3))))
(+.f64 (-.f64 (log1p.f64 (cos.f64 eps)) (*.f64 (tan.f64 (/.f64 eps 2)) x)) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 1/6 (fma.f64 -3 (*.f64 (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1)) (tan.f64 (/.f64 eps 2))) (fma.f64 -2 (pow.f64 (tan.f64 (/.f64 eps 2)) 3) (tan.f64 (/.f64 eps 2))))) x) (*.f64 -1/2 (+.f64 (*.f64 (tan.f64 (/.f64 eps 2)) (tan.f64 (/.f64 eps 2))) (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1)))))))
(log.f64 (+.f64 1 (cos.f64 (+.f64 eps x))))
(log1p.f64 (cos.f64 (+.f64 eps x)))
(log.f64 (+.f64 1 (cos.f64 (+.f64 eps x))))
(log1p.f64 (cos.f64 (+.f64 eps x)))
(log.f64 (+.f64 1 (cos.f64 (+.f64 eps x))))
(log1p.f64 (cos.f64 (+.f64 eps x)))
(log.f64 (+.f64 1 (cos.f64 (+.f64 eps x))))
(log1p.f64 (cos.f64 (+.f64 eps x)))
(log.f64 (+.f64 1 (cos.f64 (-.f64 eps (*.f64 -1 x)))))
(log1p.f64 (cos.f64 (+.f64 eps x)))
(log.f64 (+.f64 1 (cos.f64 (-.f64 eps (*.f64 -1 x)))))
(log1p.f64 (cos.f64 (+.f64 eps x)))
(log.f64 (+.f64 1 (cos.f64 (-.f64 eps (*.f64 -1 x)))))
(log1p.f64 (cos.f64 (+.f64 eps x)))
(log.f64 (+.f64 1 (cos.f64 (-.f64 eps (*.f64 -1 x)))))
(log1p.f64 (cos.f64 (+.f64 eps x)))
(log.f64 (+.f64 (cos.f64 x) 1))
(log.f64 (+.f64 1 (cos.f64 x)))
(log1p.f64 (cos.f64 x))
(+.f64 (log.f64 (+.f64 (cos.f64 x) 1)) (*.f64 -1 (/.f64 (*.f64 eps (sin.f64 x)) (+.f64 (cos.f64 x) 1))))
(+.f64 (log.f64 (+.f64 1 (cos.f64 x))) (/.f64 (*.f64 (neg.f64 eps) (sin.f64 x)) (+.f64 1 (cos.f64 x))))
(-.f64 (log1p.f64 (cos.f64 x)) (*.f64 (/.f64 eps (+.f64 1 (cos.f64 x))) (sin.f64 x)))
(-.f64 (log1p.f64 (cos.f64 x)) (*.f64 (tan.f64 (/.f64 x 2)) eps))
(+.f64 (log.f64 (+.f64 (cos.f64 x) 1)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2)))))) (*.f64 -1 (/.f64 (*.f64 eps (sin.f64 x)) (+.f64 (cos.f64 x) 1)))))
(+.f64 (log.f64 (+.f64 1 (cos.f64 x))) (fma.f64 1/2 (*.f64 (*.f64 eps eps) (fma.f64 -1 (/.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 1 (cos.f64 x)) 2))))) (/.f64 (*.f64 (neg.f64 eps) (sin.f64 x)) (+.f64 1 (cos.f64 x)))))
(+.f64 (log1p.f64 (cos.f64 x)) (-.f64 (*.f64 eps (*.f64 eps (*.f64 -1/2 (+.f64 (*.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (/.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))))))) (*.f64 (/.f64 eps (+.f64 1 (cos.f64 x))) (sin.f64 x))))
(+.f64 (log1p.f64 (cos.f64 x)) (fma.f64 eps (*.f64 eps (*.f64 -1/2 (+.f64 (*.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (/.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))))) (neg.f64 (*.f64 (tan.f64 (/.f64 x 2)) eps))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -3 (/.f64 (*.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 (+.f64 (cos.f64 x) 1) 2))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 (cos.f64 x) 1) 3))) (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) 1)))))) (+.f64 (log.f64 (+.f64 (cos.f64 x) 1)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (+.f64 (cos.f64 x) 1))) (*.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 x) 1) 2)))))) (*.f64 -1 (/.f64 (*.f64 eps (sin.f64 x)) (+.f64 (cos.f64 x) 1))))))
(fma.f64 1/6 (*.f64 (pow.f64 eps 3) (fma.f64 -3 (/.f64 (*.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 (+.f64 1 (cos.f64 x)) 2)) (fma.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 x)))))) (+.f64 (log.f64 (+.f64 1 (cos.f64 x))) (fma.f64 1/2 (*.f64 (*.f64 eps eps) (fma.f64 -1 (/.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 1 (cos.f64 x)) 2))))) (/.f64 (*.f64 (neg.f64 eps) (sin.f64 x)) (+.f64 1 (cos.f64 x))))))
(+.f64 (-.f64 (*.f64 eps (*.f64 eps (*.f64 -1/2 (+.f64 (*.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (/.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))))))) (*.f64 (/.f64 eps (+.f64 1 (cos.f64 x))) (sin.f64 x))) (fma.f64 (*.f64 1/6 (pow.f64 eps 3)) (fma.f64 -3 (*.f64 (/.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) (tan.f64 (/.f64 x 2))) (fma.f64 -2 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 1 (cos.f64 x)) 3)) (tan.f64 (/.f64 x 2)))) (log1p.f64 (cos.f64 x))))
(+.f64 (fma.f64 eps (*.f64 eps (*.f64 -1/2 (+.f64 (*.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2))) (/.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))))) (neg.f64 (*.f64 (tan.f64 (/.f64 x 2)) eps))) (fma.f64 (*.f64 1/6 (pow.f64 eps 3)) (fma.f64 -3 (*.f64 (/.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) (tan.f64 (/.f64 x 2))) (fma.f64 -2 (pow.f64 (tan.f64 (/.f64 x 2)) 3) (tan.f64 (/.f64 x 2)))) (log1p.f64 (cos.f64 x))))
(log.f64 (+.f64 1 (cos.f64 (+.f64 eps x))))
(log1p.f64 (cos.f64 (+.f64 eps x)))
(log.f64 (+.f64 1 (cos.f64 (+.f64 eps x))))
(log1p.f64 (cos.f64 (+.f64 eps x)))
(log.f64 (+.f64 1 (cos.f64 (+.f64 eps x))))
(log1p.f64 (cos.f64 (+.f64 eps x)))
(log.f64 (+.f64 1 (cos.f64 (+.f64 eps x))))
(log1p.f64 (cos.f64 (+.f64 eps x)))
(log.f64 (+.f64 1 (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(log1p.f64 (cos.f64 (+.f64 eps x)))
(log.f64 (+.f64 1 (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(log1p.f64 (cos.f64 (+.f64 eps x)))
(log.f64 (+.f64 1 (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(log1p.f64 (cos.f64 (+.f64 eps x)))
(log.f64 (+.f64 1 (cos.f64 (-.f64 x (*.f64 -1 eps)))))
(log1p.f64 (cos.f64 (+.f64 eps x)))

localize51.0ms (0.2%)

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))
✓1.9b
(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)

series18.0ms (0.1%)

Counts
3 → 56
Calls

18 calls:

TimeVariablePointExpression
3.0ms
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)))))
2.0ms
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)))))
1.0ms
x
@0
(*.f64 (sin.f64 x) (sin.f64 eps))

rewrite111.0ms (0.5%)

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)))))))

simplify87.0ms (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))

eval644.0ms (2.9%)

Compiler

Compiled 29674 to 12473 computations (58% saved)

prune446.0ms (2%)

Pruning

77 alts after pruning (76 fresh and 1 done)

PrunedKeptTotal
New1307711378
Fresh32537
Picked101
Done314
Total1343771420
Error
0.1b
Counts
1420 → 77
Alt Table
Click to see full alt table
StatusErrorProgram
41.2b
(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
40.3b
(*.f64 (/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps)))))) -2)
30.2b
(*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))
40.5b
(*.f64 3 (*.f64 1/3 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
28.2b
(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)))))
28.1b
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
45.4b
(*.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)
40.4b
(-.f64 (-.f64 (exp.f64 (log.f64 (+.f64 (cos.f64 eps) 1))) 1) (cos.f64 x))
30.2b
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
29.9b
(*.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)
49.8b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (expm1.f64 (log1p.f64 (*.f64 1/2 eps))))) -2)
40.2b
(-.f64 (cos.f64 eps) (cos.f64 x))
36.2b
(*.f64 (sin.f64 x) (neg.f64 eps))
58.1b
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2))
35.0b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 x)) -2)
39.6b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))
34.4b
(*.f64 (expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) -2)
45.4b
(*.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)
45.8b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (fabs.f64 (sin.f64 (*.f64 1/2 eps)))) -2)
51.7b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (sqrt.f64 (*.f64 eps eps)) 1/2))) -2)
28.1b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))))
28.3b
(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)))))
45.2b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (/.f64 (*.f64 (*.f64 eps eps) 1/2) eps))) -2)
28.1b
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
58.0b
(log.f64 (+.f64 1 (*.f64 -1 (*.f64 eps (sin.f64 x)))))
13.8b
(*.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))))
58.1b
(log.f64 1)
52.9b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (/.f64 (*.f64 (pow.f64 eps 3) 1/2) (*.f64 eps eps)))) -2)
37.3b
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3)) -2)
28.2b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (/.f64 1 (/.f64 1 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))
28.3b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 2) (/.f64 1 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))
45.7b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (neg.f64 (cos.f64 x)))))
50.8b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (pow.f64 (sqrt.f64 (*.f64 1/2 eps)) 2))) -2)
▶40.5b
(*.f64 (log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) -2)
34.7b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 3)) -2)
40.3b
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
47.8b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3) 1/3)) -2)
47.7b
(expm1.f64 (log.f64 (cos.f64 eps)))
52.5b
(*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps 1/24) -1/2)))
28.4b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))))
28.4b
(-.f64 (-.f64 (exp.f64 (log1p.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))) 1) (cos.f64 x))
▶40.0b
(log.f64 (exp.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2)))
32.4b
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (sin.f64 (*.f64 1/2 eps))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))) -2)
53.3b
(*.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)
50.7b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (expm1.f64 (log1p.f64 eps)) 1/2))) -2)
41.6b
(log.f64 (exp.f64 (-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)))
▶12.3b
(*.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)
▶40.3b
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
40.6b
(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
28.8b
(-.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (cos.f64 x))
50.7b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (pow.f64 (sqrt.f64 eps) 2) 1/2))) -2)
28.2b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))) (neg.f64 (cos.f64 x)))))
40.7b
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
55.9b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (pow.f64 (pow.f64 (*.f64 1/2 eps) 3) 1/3))) -2)
34.9b
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) 3) -2)
32.4b
(*.f64 (+.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)))))) -2)
▶52.3b
(*.f64 -1/2 (*.f64 eps eps))
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)
45.9b
(-.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (cos.f64 x))
40.9b
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) 1))
32.2b
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (cos.f64 (*.f64 1/2 eps)) x (*.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (sin.f64 (*.f64 1/2 eps))))) -2)
57.4b
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
40.4b
(*.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
40.6b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 1))
37.6b
(*.f64 (pow.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3) 1/3) -2)
30.3b
(-.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)))
40.9b
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
✓40.3b
(-.f64 (cos.f64 eps) 1)
37.9b
(+.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (-.f64 (*.f64 x (fma.f64 (cos.f64 eps) -1/2 1/2)) (sin.f64 eps))))
30.0b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (+.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))))) -2)
40.6b
(*.f64 1/3 (*.f64 3 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
40.5b
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
30.3b
(fma.f64 eps (*.f64 eps (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))
40.3b
(log.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)))
34.4b
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)
28.1b
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
28.2b
(log.f64 (exp.f64 (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 2638 to 1967 computations (25.4% saved)

localize84.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(*.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)))))
✓1.0b
(cos.f64 (*.f64 (+.f64 x eps) 1/2))
✓1.1b
(sin.f64 (*.f64 (+.f64 x eps) 1/2))
Compiler

Compiled 171 to 97 computations (43.3% saved)

series19.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
3.0ms
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)))))
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)))))
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)))))
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)))))

rewrite98.0ms (0.4%)

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
(sin.f64 (*.f64 (+.f64 x eps) 1/2))
(cos.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 (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))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (+.f64 x eps) 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.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 (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))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.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 (*.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)) (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 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simplify118.0ms (0.5%)

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

Useful iterations: 3 (0.0ms)

IterNodesCost
01582398
14932377
215772226
333842193
479362193
Stop Event
1×node limit
Counts
193 → 169
Calls
Call 1
Inputs
(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))))
(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))))
(*.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
(sin.f64 (*.f64 1/2 eps))
(+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) x)))
(fma.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (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 1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) x))))
(+.f64 (fma.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (sin.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (*.f64 x x) -1/8)))
(+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) x)) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 x x)) 1) (sin.f64 (*.f64 1/2 eps))))
(+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) x)) (*.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 1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) x)))))
(+.f64 (fma.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (*.f64 x x) -1/8))) (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 -1/48 (pow.f64 x 3)))))
(+.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 -1/48 (pow.f64 x 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 eps (*.f64 -1 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 x)))
(sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -1 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 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)))
(fma.f64 1/2 (*.f64 eps (cos.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)))) (sin.f64 (*.f64 1/2 x))))
(fma.f64 1/2 (*.f64 eps (cos.f64 (*.f64 1/2 x))) (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 eps (cos.f64 (*.f64 1/2 x))) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 eps eps)) 1) (sin.f64 (*.f64 1/2 x))))
(fma.f64 1/2 (*.f64 eps (cos.f64 (*.f64 1/2 x))) (*.f64 (sin.f64 (*.f64 1/2 x)) (+.f64 1 (*.f64 eps (*.f64 eps -1/8)))))
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(*.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 eps x))))
(*.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 eps x))))
(*.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 eps x))))
(*.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 eps x))))
(*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sin.f64 (*.f64 1/2 x)) (cos.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 (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 (*.f64 eps -1/2) (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (*.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(*.f64 (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 (sin.f64 (*.f64 1/2 x)) (fma.f64 (*.f64 eps -1/2) (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(+.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 (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 (*.f64 -1/2 eps) (pow.f64 (sin.f64 (*.f64 1/2 x)) 2))))
(fma.f64 -1/8 (*.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 eps eps))) (fma.f64 (*.f64 eps -1/2) (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (*.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))))
(+.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (*.f64 eps -1/2)) (*.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (+.f64 1 (*.f64 eps (*.f64 eps -1/8))) (cos.f64 (*.f64 1/2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 x)) (+.f64 (*.f64 eps (*.f64 (sin.f64 (*.f64 1/2 x)) -1/2)) (*.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 (*.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 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 eps eps))) (fma.f64 (*.f64 eps -1/2) (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (*.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))))
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (+.f64 1 (*.f64 eps (*.f64 eps -1/8))) (cos.f64 (*.f64 1/2 x)))) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (+.f64 (*.f64 eps -1/2) (*.f64 (pow.f64 eps 3) 1/48))))
(*.f64 (sin.f64 (*.f64 1/2 x)) (+.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 eps (+.f64 -1/2 (*.f64 (*.f64 eps eps) 1/48)))) (*.f64 (+.f64 1 (*.f64 eps (*.f64 eps -1/8))) (cos.f64 (*.f64 1/2 x)))))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps x))) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sin.f64 (*.f64 1/2 x)) (cos.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 x)) (cos.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 x)) (cos.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 x)) (cos.f64 (*.f64 1/2 (+.f64 eps 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 eps 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 eps 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 eps 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 eps 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)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite45.0ms (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 (0.8%)

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))

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.3b
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
✓0.4b
(pow.f64 (+.f64 (cos.f64 eps) -1) 3)
✓0.8b
(+.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))

rewrite69.0ms (0.3%)

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)))))

simplify63.0ms (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)

localize28.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
✓0.3b
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
✓1.1b
(log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
Compiler

Compiled 44 to 37 computations (15.9% saved)

series4.0ms (0%)

Counts
3 → 20
Calls

9 calls:

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

rewrite60.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
644×pow1_binary64
593×add-log-exp_binary64
593×log1p-expm1-u_binary64
593×expm1-log1p-u_binary64
580×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0929
116629
2167729
Stop Event
1×node limit
Counts
3 → 64
Calls
Call 1
Inputs
(log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))))) (#(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) (*.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 (*.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 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3) 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 cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3))))) (#(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 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))))) (#(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) (*.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 (*.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 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3))))) (#(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 1 (expm1.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) 2) (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.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 pow.f64 (exp.f64 1) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))))))

simplify88.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
624×distribute-rgt-out_binary64
614×distribute-lft-out_binary64
518×fma-def_binary64
493×*-commutative_binary64
483×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
039262
192260
2205258
3646258
42858258
55791258
66234258
76816258
87669258
Stop Event
1×node limit
Counts
84 → 60
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 1/4 (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)))))
1
(+.f64 (*.f64 1/4 (pow.f64 eps 2)) 1)
(+.f64 (*.f64 1/4 (pow.f64 eps 2)) (+.f64 1 (*.f64 1/96 (pow.f64 eps 4))))
(+.f64 (*.f64 1/4 (pow.f64 eps 2)) (+.f64 1 (+.f64 (*.f64 1/96 (pow.f64 eps 4)) (*.f64 -11/5760 (pow.f64 eps 6)))))
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)))
(fma.f64 -1/48 (pow.f64 eps 4) (*.f64 1/4 (*.f64 eps eps)))
(*.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 1/4 (*.f64 eps eps) (fma.f64 -1/80640 (pow.f64 eps 8) (fma.f64 1/1440 (pow.f64 eps 6) (*.f64 -1/48 (pow.f64 eps 4)))))
(fma.f64 1/4 (*.f64 eps eps) (fma.f64 (pow.f64 eps 4) (fma.f64 (pow.f64 eps 4) -1/80640 -1/48) (*.f64 1/1440 (pow.f64 eps 6))))
(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 1/4 (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)))
(fma.f64 -1/48 (pow.f64 eps 4) (*.f64 1/4 (*.f64 eps eps)))
(*.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 1/4 (*.f64 eps eps) (fma.f64 -1/80640 (pow.f64 eps 8) (fma.f64 1/1440 (pow.f64 eps 6) (*.f64 -1/48 (pow.f64 eps 4)))))
(fma.f64 1/4 (*.f64 eps eps) (fma.f64 (pow.f64 eps 4) (fma.f64 (pow.f64 eps 4) -1/80640 -1/48) (*.f64 1/1440 (pow.f64 eps 6))))
1
(+.f64 (*.f64 1/4 (pow.f64 eps 2)) 1)
(fma.f64 1/4 (*.f64 eps eps) 1)
(+.f64 (*.f64 1/4 (pow.f64 eps 2)) (+.f64 1 (*.f64 1/96 (pow.f64 eps 4))))
(+.f64 (fma.f64 1/4 (*.f64 eps eps) 1) (*.f64 (pow.f64 eps 4) 1/96))
(fma.f64 1/4 (*.f64 eps eps) (fma.f64 (pow.f64 eps 4) 1/96 1))
(fma.f64 (pow.f64 eps 4) 1/96 (fma.f64 1/4 (*.f64 eps eps) 1))
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) 1/96 1/4) 1)
(+.f64 (*.f64 1/4 (pow.f64 eps 2)) (+.f64 1 (+.f64 (*.f64 1/96 (pow.f64 eps 4)) (*.f64 -11/5760 (pow.f64 eps 6)))))
(+.f64 (fma.f64 1/4 (*.f64 eps eps) 1) (fma.f64 1/96 (pow.f64 eps 4) (*.f64 (pow.f64 eps 6) -11/5760)))
(+.f64 (fma.f64 1/4 (*.f64 eps eps) 1) (fma.f64 (pow.f64 eps 4) 1/96 (*.f64 (pow.f64 eps 6) -11/5760)))
(fma.f64 1/4 (*.f64 eps eps) (fma.f64 (pow.f64 eps 4) 1/96 (fma.f64 (pow.f64 eps 6) -11/5760 1)))
(fma.f64 (pow.f64 eps 4) 1/96 (fma.f64 (pow.f64 eps 6) -11/5760 (fma.f64 1/4 (*.f64 eps eps) 1)))

localize46.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (+.f64 x (+.f64 x eps)) 1/2)
0.3b
(*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))
1.0b
(sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))
✓1.9b
(log.f64 (exp.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2)))
Compiler

Compiled 129 to 55 computations (57.4% saved)

series4.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite59.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
700×fma-def_binary64
309×fma-neg_binary64
236×expm1-udef_binary64
236×log1p-udef_binary64
186×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01726
137412
2545812
Stop Event
1×node limit
Counts
1 → 32
Calls
Call 1
Inputs
(log.f64 (exp.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)) (*.f64 -1 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 1/3 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2))) (*.f64 1/3 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (sin.f64 (*.f64 eps 1/2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)) (cbrt.f64 (*.f64 4 (pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 4 (pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 2))) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2) (*.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) (*.f64 (sin.f64 (*.f64 eps 1/2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 2)) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sqrt.f64 -2)) (*.f64 (sin.f64 (*.f64 eps 1/2)) (sqrt.f64 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (*.f64 eps 1/2))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 eps 1/2))) (*.f64 (sin.f64 (*.f64 eps 1/2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 -1 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 1/3 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) -2) (sin.f64 (*.f64 eps 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (*.f64 3 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 (*.f64 2 (*.f64 eps 1/2)))) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (-.f64 1 (cos.f64 (*.f64 2 (*.f64 eps 1/2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sqrt.f64 -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4 (pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)) 1))))))

simplify62.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
497×neg-sub0_binary64
469×neg-mul-1_binary64
351×associate-*l*_binary64
345×fma-neg_binary64
342×unswap-sqr_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
072640
1204588
2564512
32435502
46299502
Stop Event
1×node limit
Counts
56 → 51
Calls
Call 1
Inputs
(*.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 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 -2 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (sin.f64 x)) (*.f64 -1/48 (sin.f64 x)))))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 -2 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (sin.f64 x)) (*.f64 -1/48 (sin.f64 x))))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))))
(*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(+.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x))))
(+.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (+.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 2)) (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)))))
(+.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (+.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 2)) (+.f64 (*.f64 1/3 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3)))) (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))))
Outputs
(*.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 (*.f64 eps eps) (cos.f64 x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x)) (*.f64 eps (neg.f64 (sin.f64 x))))
(-.f64 (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps -1/2))) (*.f64 eps (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 -2 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (sin.f64 x)) (*.f64 -1/48 (sin.f64 x)))))))
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x)) (fma.f64 -1 (*.f64 eps (sin.f64 x)) (*.f64 -2 (*.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) -1/12)))))
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x)) (fma.f64 -2 (*.f64 (sin.f64 x) (*.f64 -1/12 (pow.f64 eps 3))) (*.f64 eps (neg.f64 (sin.f64 x)))))
(-.f64 (fma.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x)) (*.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3)) 1/6)) (*.f64 eps (sin.f64 x)))
(fma.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) 1/6) (*.f64 eps (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (*.f64 -1 (*.f64 eps (sin.f64 x))) (*.f64 -2 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (sin.f64 x)) (*.f64 -1/48 (sin.f64 x))))))))
(fma.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)) (fma.f64 -1/2 (*.f64 (*.f64 eps eps) (cos.f64 x)) (fma.f64 -1 (*.f64 eps (sin.f64 x)) (*.f64 -2 (*.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) -1/12))))))
(+.f64 (fma.f64 -2 (*.f64 (sin.f64 x) (*.f64 -1/12 (pow.f64 eps 3))) (*.f64 eps (neg.f64 (sin.f64 x)))) (*.f64 (cos.f64 x) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (*.f64 eps eps)))))
(fma.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (*.f64 eps (*.f64 eps -1/2))) (-.f64 (*.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3)) 1/6) (*.f64 eps (sin.f64 x))))
(fma.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (*.f64 eps (*.f64 eps -1/2))) (*.f64 (sin.f64 x) (-.f64 (*.f64 (*.f64 -2 (pow.f64 eps 3)) -1/12) eps)))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (*.f64 -2 (sin.f64 (*.f64 eps 1/2))))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (fma.f64 eps 1/2 x))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (*.f64 -2 (sin.f64 (*.f64 eps 1/2))))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (fma.f64 eps 1/2 x))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (*.f64 -2 (sin.f64 (*.f64 eps 1/2))))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (fma.f64 eps 1/2 x))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (*.f64 -2 (sin.f64 (*.f64 eps 1/2))))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (fma.f64 eps 1/2 x))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (*.f64 -2 (sin.f64 (*.f64 eps 1/2))))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (fma.f64 eps 1/2 x))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (*.f64 -2 (sin.f64 (*.f64 eps 1/2))))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (fma.f64 eps 1/2 x))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (*.f64 -2 (sin.f64 (*.f64 eps 1/2))))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (fma.f64 eps 1/2 x))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (*.f64 -2 (sin.f64 (*.f64 eps 1/2))))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (fma.f64 eps 1/2 x))))
(*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))
(+.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x))))
(*.f64 -2 (+.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 x (cos.f64 (*.f64 eps 1/2))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (+.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 x (cos.f64 (*.f64 eps 1/2))))))
(+.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (+.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 2)) (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)))))
(fma.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) (fma.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) (*.f64 x x) (*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 x (cos.f64 (*.f64 eps 1/2)))))))
(+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 eps 1/2))) (*.f64 x -2)) (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) (+.f64 -2 (*.f64 x x))))
(fma.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (cos.f64 (*.f64 eps 1/2)) (*.f64 x -2)) (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) (+.f64 -2 (*.f64 x x))))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (+.f64 (*.f64 (cos.f64 (*.f64 eps 1/2)) (*.f64 x -2)) (*.f64 (sin.f64 (*.f64 eps 1/2)) (+.f64 -2 (*.f64 x x)))))
(+.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (+.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 2)) (+.f64 (*.f64 1/3 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3)))) (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x))))))
(fma.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) (fma.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) (*.f64 x x) (fma.f64 1/3 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (cos.f64 (*.f64 eps 1/2)) (pow.f64 x 3))) (*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 x (cos.f64 (*.f64 eps 1/2))))))))
(+.f64 (fma.f64 1/3 (*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 (cos.f64 (*.f64 eps 1/2)) (pow.f64 x 3))) (*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 eps 1/2))) (*.f64 x -2))) (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) (+.f64 -2 (*.f64 x x))))
(fma.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) (+.f64 -2 (*.f64 x x)) (*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 eps 1/2))) (+.f64 (*.f64 x -2) (*.f64 1/3 (pow.f64 x 3)))))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (+.f64 (*.f64 (cos.f64 (*.f64 eps 1/2)) (+.f64 (*.f64 x -2) (*.f64 1/3 (pow.f64 x 3)))) (*.f64 (sin.f64 (*.f64 eps 1/2)) (+.f64 -2 (*.f64 x x)))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (*.f64 -2 (sin.f64 (*.f64 eps 1/2))))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (fma.f64 eps 1/2 x))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (*.f64 -2 (sin.f64 (*.f64 eps 1/2))))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (fma.f64 eps 1/2 x))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (*.f64 -2 (sin.f64 (*.f64 eps 1/2))))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (fma.f64 eps 1/2 x))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (*.f64 -2 (sin.f64 (*.f64 eps 1/2))))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (fma.f64 eps 1/2 x))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (*.f64 -2 (sin.f64 (*.f64 eps 1/2))))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (fma.f64 eps 1/2 x))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (*.f64 -2 (sin.f64 (*.f64 eps 1/2))))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (fma.f64 eps 1/2 x))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (*.f64 -2 (sin.f64 (*.f64 eps 1/2))))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (fma.f64 eps 1/2 x))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (*.f64 -2 (sin.f64 (*.f64 eps 1/2))))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (fma.f64 eps 1/2 x))))

eval273.0ms (1.2%)

Compiler

Compiled 12973 to 9282 computations (28.5% saved)

prune200.0ms (0.9%)

Pruning

86 alts after pruning (84 fresh and 2 done)

PrunedKeptTotal
New49524519
Fresh116071
Picked101
Done325
Total51086596
Error
0.1b
Counts
596 → 86
Alt Table
Click to see full alt table
StatusErrorProgram
28.2b
(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)))))
31.2b
(*.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)
41.2b
(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
40.3b
(*.f64 (/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps)))))) -2)
30.2b
(*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))
40.5b
(*.f64 3 (*.f64 1/3 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
28.1b
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
45.4b
(*.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)
34.7b
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)) 3)
12.3b
(*.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 (log.f64 (exp.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)))) (sin.f64 (*.f64 x 1/2))))) -2)
40.4b
(-.f64 (-.f64 (exp.f64 (log.f64 (+.f64 (cos.f64 eps) 1))) 1) (cos.f64 x))
30.2b
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
29.9b
(*.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)
49.8b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (expm1.f64 (log1p.f64 (*.f64 1/2 eps))))) -2)
40.2b
(-.f64 (cos.f64 eps) (cos.f64 x))
36.2b
(*.f64 (sin.f64 x) (neg.f64 eps))
▶58.1b
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2))
35.0b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 x)) -2)
34.4b
(*.f64 (expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) -2)
32.4b
(*.f64 (+.f64 (*.f64 (+.f64 1 (*.f64 (*.f64 x x) -1/2)) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 (pow.f64 x 3) -1/6))))) -2)
45.8b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (fabs.f64 (sin.f64 (*.f64 1/2 eps)))) -2)
45.4b
(*.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)
39.6b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))
40.5b
(*.f64 (-.f64 (+.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 1) -2)
56.8b
(log.f64 (exp.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 x)) -2)))
51.7b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (sqrt.f64 (*.f64 eps eps)) 1/2))) -2)
37.3b
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3)) -2)
28.1b
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
28.1b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))))
32.0b
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x eps) x)))) 2)) -2)
28.3b
(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)))))
45.2b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (/.f64 (*.f64 (*.f64 eps eps) 1/2) eps))) -2)
36.3b
(*.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 eps (sin.f64 (*.f64 1/2 x)))) -2)
58.0b
(log.f64 (+.f64 1 (*.f64 -1 (*.f64 eps (sin.f64 x)))))
24.2b
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x eps) x))))) 2) -2)
52.9b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (/.f64 (*.f64 (pow.f64 eps 3) 1/2) (*.f64 eps eps)))) -2)
36.5b
(*.f64 (sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) -2)
58.1b
(log.f64 1)
28.2b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (/.f64 1 (/.f64 1 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))
28.3b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 2) (/.f64 1 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))
45.7b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (neg.f64 (cos.f64 x)))))
13.1b
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x eps) x))))) 3) -2)
34.4b
(*.f64 1/3 (*.f64 3 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)))
▶12.3b
(*.f64 (+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 (+.f64 x eps) 1/2))) (*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 eps 1/2))))) -2)
50.8b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (pow.f64 (sqrt.f64 (*.f64 1/2 eps)) 2))) -2)
34.7b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 3)) -2)
40.3b
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
47.8b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3) 1/3)) -2)
▶47.7b
(expm1.f64 (log.f64 (cos.f64 eps)))
52.5b
(*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps 1/24) -1/2)))
57.9b
(-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 eps eps))) 1)
28.4b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))))
28.4b
(-.f64 (-.f64 (exp.f64 (log1p.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))) 1) (cos.f64 x))
53.3b
(*.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)
50.7b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (expm1.f64 (log1p.f64 eps)) 1/2))) -2)
34.4b
(*.f64 3 (*.f64 1/3 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)))
✓40.3b
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
28.8b
(-.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (cos.f64 x))
50.7b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (pow.f64 (sqrt.f64 eps) 2) 1/2))) -2)
28.2b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))) (neg.f64 (cos.f64 x)))))
40.7b
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
▶55.9b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (pow.f64 (pow.f64 (*.f64 1/2 eps) 3) 1/3))) -2)
32.4b
(*.f64 (sin.f64 (*.f64 eps 1/2)) (+.f64 (*.f64 (cos.f64 (*.f64 eps 1/2)) (+.f64 (*.f64 x -2) (*.f64 1/3 (pow.f64 x 3)))) (*.f64 (sin.f64 (*.f64 eps 1/2)) (+.f64 -2 (*.f64 x x)))))
34.9b
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) 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)
15.4b
(*.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 (exp.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (sin.f64 (*.f64 x 1/2))))) 1))) -2)
45.9b
(-.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (cos.f64 x))
40.9b
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) 1))
57.4b
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
40.4b
(*.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
✓40.3b
(-.f64 (cos.f64 eps) 1)
▶52.3b
(*.f64 eps (*.f64 -1/2 eps))
32.2b
(*.f64 (sin.f64 (*.f64 eps 1/2)) (+.f64 (*.f64 (cos.f64 (*.f64 eps 1/2)) (*.f64 x -2)) (*.f64 (sin.f64 (*.f64 eps 1/2)) (+.f64 -2 (*.f64 x x)))))
40.6b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 1))
30.3b
(-.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)))
40.9b
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
12.3b
(*.f64 (log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x eps) x)))))) -2)
40.6b
(*.f64 1/3 (*.f64 3 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
30.0b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (+.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))))) -2)
40.5b
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
30.3b
(fma.f64 eps (*.f64 eps (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))
57.4b
(cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 6)))
40.3b
(log.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)))
28.1b
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
34.4b
(*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)
28.2b
(log.f64 (exp.f64 (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 2965 to 2241 computations (24.4% saved)

localize78.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 eps 1/2)))
✓0.4b
(*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 (+.f64 x eps) 1/2)))
1.0b
(cos.f64 (*.f64 (+.f64 x eps) 1/2))
1.1b
(sin.f64 (*.f64 (+.f64 x eps) 1/2))
Compiler

Compiled 162 to 110 computations (32.1% saved)

series9.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite75.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
841×log-prod_binary64
591×fma-def_binary64
298×expm1-udef_binary64
298×log1p-udef_binary64
294×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01539
132139
2444439
Stop Event
1×node limit
Counts
2 → 43
Calls
Call 1
Inputs
(*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 (+.f64 x eps) 1/2)))
(*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 eps 1/2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (+.f64 eps x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (+.f64 eps x))))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (+.f64 eps x))))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (+.f64 eps x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (+.f64 eps x)))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (+.f64 eps x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (+.f64 eps x))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps x))) (sin.f64 (*.f64 1/2 (-.f64 eps x)))) (sin.f64 (*.f64 1/2 (+.f64 eps x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps x))) (+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps x))) (sin.f64 (*.f64 1/2 (-.f64 eps x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (+.f64 eps x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (+.f64 eps x))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (+.f64 eps x)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (+.f64 eps x)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (+.f64 eps x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 1/2 (+.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (+.f64 eps x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (+.f64 eps x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 x))) 3) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps x))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps x))) 3) (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 x))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (+.f64 eps x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (+.f64 eps x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (+.f64 eps x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (+.f64 eps x)))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 eps 1/2)))) (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 eps 1/2)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 eps 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 eps 1/2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 eps 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 (*.f64 1/2 (-.f64 x eps))) 2) (/.f64 (cos.f64 (*.f64 1/2 (+.f64 eps x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 2 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 x eps))) (cos.f64 (*.f64 1/2 (+.f64 eps x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 x eps))) (cos.f64 (*.f64 1/2 (+.f64 eps x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps x))) (cos.f64 (*.f64 1/2 (+.f64 eps x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 x eps))) (cos.f64 (*.f64 1/2 (+.f64 eps x))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 1/2 x))) (sin.f64 (*.f64 eps 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3) (pow.f64 (sin.f64 (*.f64 1/2 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 3) (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 x)))) 1))))))

simplify64.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
658×fma-def_binary64
629×distribute-rgt-neg-out_binary64
605×associate-*l*_binary64
590×associate-*r*_binary64
514×distribute-lft-neg-out_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01061259
13121231
29091149
342121123
Stop Event
1×node limit
Counts
91 → 80
Calls
Call 1
Inputs
(*.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 eps (sin.f64 (*.f64 1/2 x)))))
(+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 eps (sin.f64 (*.f64 1/2 x))))) (*.f64 1/4 (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 x)) 2) (pow.f64 eps 2))))
(+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 eps (sin.f64 (*.f64 1/2 x))))) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 x)) 2) (pow.f64 eps 2))) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/48 (sin.f64 (*.f64 1/2 x))) (*.f64 -1/16 (sin.f64 (*.f64 1/2 x))))))))
(+.f64 (*.f64 -1/48 (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 x)) 2) (pow.f64 eps 4))) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 eps (sin.f64 (*.f64 1/2 x))))) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 x)) 2) (pow.f64 eps 2))) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/48 (sin.f64 (*.f64 1/2 x))) (*.f64 -1/16 (sin.f64 (*.f64 1/2 x)))))))))
(*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps x)))))
(*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps x)))))
(*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps x)))))
(*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps x)))))
(*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 x (*.f64 -1 eps))))))
(*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 x (*.f64 -1 eps))))))
(*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 x (*.f64 -1 eps))))))
(*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 x (*.f64 -1 eps))))))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(+.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x))))
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 2))) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/16 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps)))) (*.f64 -1/48 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))))) (pow.f64 x 3)) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 2))) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x))))))
(*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps x)))))
(*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps x)))))
(*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps x)))))
(*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps x)))))
(*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -1 x))))))
(*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -1 x))))))
(*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -1 x))))))
(*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -1 x))))))
(*.f64 1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) x))
(+.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 (*.f64 1/3840 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 5))) (+.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 (*.f64 1/3840 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 5))) (+.f64 (*.f64 1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) x)) (+.f64 (*.f64 -1/645120 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 7))) (*.f64 -1/48 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 3))))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 x)))
(*.f64 1/2 (*.f64 eps (sin.f64 (*.f64 1/2 x))))
(+.f64 (*.f64 -1/48 (*.f64 (pow.f64 eps 3) (sin.f64 (*.f64 1/2 x)))) (*.f64 1/2 (*.f64 eps (sin.f64 (*.f64 1/2 x)))))
(+.f64 (*.f64 -1/48 (*.f64 (pow.f64 eps 3) (sin.f64 (*.f64 1/2 x)))) (+.f64 (*.f64 1/3840 (*.f64 (pow.f64 eps 5) (sin.f64 (*.f64 1/2 x)))) (*.f64 1/2 (*.f64 eps (sin.f64 (*.f64 1/2 x))))))
(+.f64 (*.f64 -1/48 (*.f64 (pow.f64 eps 3) (sin.f64 (*.f64 1/2 x)))) (+.f64 (*.f64 1/3840 (*.f64 (pow.f64 eps 5) (sin.f64 (*.f64 1/2 x)))) (+.f64 (*.f64 -1/645120 (*.f64 (pow.f64 eps 7) (sin.f64 (*.f64 1/2 x)))) (*.f64 1/2 (*.f64 eps (sin.f64 (*.f64 1/2 x)))))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 x)))
Outputs
(*.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 eps (sin.f64 (*.f64 1/2 x)))))
(*.f64 (*.f64 1/2 (cos.f64 (*.f64 1/2 x))) (*.f64 eps (sin.f64 (*.f64 1/2 x))))
(*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 1/2 eps)))
(+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 eps (sin.f64 (*.f64 1/2 x))))) (*.f64 1/4 (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 x)) 2) (pow.f64 eps 2))))
(fma.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 eps (sin.f64 (*.f64 1/2 x)))) (*.f64 1/4 (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 x)) 2) (*.f64 eps eps))))
(fma.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 eps (sin.f64 (*.f64 1/2 x)))) (*.f64 1/4 (*.f64 eps (*.f64 eps (pow.f64 (cos.f64 (*.f64 1/2 x)) 2)))))
(*.f64 eps (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) (*.f64 eps (*.f64 1/4 (pow.f64 (cos.f64 (*.f64 1/2 x)) 2)))))
(*.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) eps) (+.f64 (*.f64 1/2 (sin.f64 (*.f64 1/2 x))) (*.f64 1/4 (*.f64 (cos.f64 (*.f64 1/2 x)) eps))))
(+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 eps (sin.f64 (*.f64 1/2 x))))) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 x)) 2) (pow.f64 eps 2))) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/48 (sin.f64 (*.f64 1/2 x))) (*.f64 -1/16 (sin.f64 (*.f64 1/2 x))))))))
(fma.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 eps (sin.f64 (*.f64 1/2 x)))) (fma.f64 1/4 (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 x)) 2) (*.f64 eps eps)) (*.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 eps 3)) (*.f64 (sin.f64 (*.f64 1/2 x)) -1/12))))
(fma.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 eps (sin.f64 (*.f64 1/2 x)))) (fma.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 -1/12 (pow.f64 eps 3))) (*.f64 1/4 (*.f64 eps (*.f64 eps (pow.f64 (cos.f64 (*.f64 1/2 x)) 2))))))
(fma.f64 1/4 (*.f64 eps (*.f64 eps (pow.f64 (cos.f64 (*.f64 1/2 x)) 2))) (*.f64 (cos.f64 (*.f64 1/2 x)) (+.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (pow.f64 eps 3) -1/12)) (*.f64 1/2 (*.f64 eps (sin.f64 (*.f64 1/2 x)))))))
(fma.f64 1/4 (*.f64 eps (*.f64 eps (pow.f64 (cos.f64 (*.f64 1/2 x)) 2))) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 1/2 x)) (+.f64 (*.f64 1/2 eps) (*.f64 (pow.f64 eps 3) -1/12)))))
(+.f64 (*.f64 -1/48 (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 x)) 2) (pow.f64 eps 4))) (+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 eps (sin.f64 (*.f64 1/2 x))))) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 x)) 2) (pow.f64 eps 2))) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/48 (sin.f64 (*.f64 1/2 x))) (*.f64 -1/16 (sin.f64 (*.f64 1/2 x)))))))))
(fma.f64 -1/48 (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 x)) 2) (pow.f64 eps 4)) (fma.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 eps (sin.f64 (*.f64 1/2 x)))) (fma.f64 1/4 (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 x)) 2) (*.f64 eps eps)) (*.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 eps 3)) (*.f64 (sin.f64 (*.f64 1/2 x)) -1/12)))))
(fma.f64 -1/48 (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 x)) 2) (pow.f64 eps 4)) (fma.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 eps (sin.f64 (*.f64 1/2 x)))) (fma.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 -1/12 (pow.f64 eps 3))) (*.f64 1/4 (*.f64 eps (*.f64 eps (pow.f64 (cos.f64 (*.f64 1/2 x)) 2)))))))
(fma.f64 (pow.f64 (cos.f64 (*.f64 1/2 x)) 2) (*.f64 -1/48 (pow.f64 eps 4)) (fma.f64 1/4 (*.f64 eps (*.f64 eps (pow.f64 (cos.f64 (*.f64 1/2 x)) 2))) (*.f64 (cos.f64 (*.f64 1/2 x)) (+.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (pow.f64 eps 3) -1/12)) (*.f64 1/2 (*.f64 eps (sin.f64 (*.f64 1/2 x))))))))
(+.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 1/2 x)) (+.f64 (*.f64 1/2 eps) (*.f64 (pow.f64 eps 3) -1/12)))) (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 x)) 2) (+.f64 (*.f64 1/4 (*.f64 eps eps)) (*.f64 -1/48 (pow.f64 eps 4)))))
(*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps x)))))
(*.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 (+.f64 x eps))))
(*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 x eps)))))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 x eps))) (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 eps))))
(*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps x)))))
(*.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 (+.f64 x eps))))
(*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 x eps)))))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 x eps))) (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 eps))))
(*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps x)))))
(*.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 (+.f64 x eps))))
(*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 x eps)))))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 x eps))) (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 eps))))
(*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps x)))))
(*.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 (+.f64 x eps))))
(*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 x eps)))))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 x eps))) (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 eps))))
(*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 x (*.f64 -1 eps))))))
(*.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 (+.f64 x eps))))
(*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 x eps)))))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 x eps))) (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 eps))))
(*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 x (*.f64 -1 eps))))))
(*.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 (+.f64 x eps))))
(*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 x eps)))))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 x eps))) (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 eps))))
(*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 x (*.f64 -1 eps))))))
(*.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 (+.f64 x eps))))
(*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 x eps)))))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 x eps))) (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 eps))))
(*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 x (*.f64 -1 eps))))))
(*.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 (+.f64 x eps))))
(*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 x eps)))))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 x eps))) (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 eps))))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(+.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 1/2 (*.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 1/2 (sin.f64 (*.f64 1/2 eps))) (*.f64 x (cos.f64 (*.f64 1/2 eps)))))
(fma.f64 1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x (cos.f64 (*.f64 1/2 eps)))) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 1/2 (*.f64 x (cos.f64 (*.f64 1/2 eps))))))
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 2))) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)))))
(fma.f64 -1/4 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 x x)) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 (*.f64 1/2 (sin.f64 (*.f64 1/2 eps))) (*.f64 x (cos.f64 (*.f64 1/2 eps))))))
(fma.f64 -1/4 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 x x)) (fma.f64 1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x (cos.f64 (*.f64 1/2 eps)))) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(fma.f64 1/2 (*.f64 x (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps)))) (*.f64 (+.f64 (*.f64 x (*.f64 x -1/4)) 1) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(fma.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x (sin.f64 (*.f64 1/2 eps)))) (*.f64 (+.f64 (*.f64 x (*.f64 x -1/4)) 1) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(+.f64 (*.f64 (+.f64 (*.f64 -1/16 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps)))) (*.f64 -1/48 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))))) (pow.f64 x 3)) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 2))) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x))))))
(fma.f64 (*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))) -1/12) (pow.f64 x 3) (fma.f64 -1/4 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 x x)) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 (*.f64 1/2 (sin.f64 (*.f64 1/2 eps))) (*.f64 x (cos.f64 (*.f64 1/2 eps)))))))
(fma.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) -1/12)) (pow.f64 x 3) (fma.f64 -1/4 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 x x)) (fma.f64 1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x (cos.f64 (*.f64 1/2 eps)))) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))
(+.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x -1/4)) 1) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))) (+.f64 (*.f64 1/2 x) (*.f64 (pow.f64 x 3) -1/12))))
(+.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x -1/4)) 1) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 x (*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))) (+.f64 1/2 (*.f64 (*.f64 x x) -1/12)))))
(*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps x)))))
(*.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 (+.f64 x eps))))
(*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 x eps)))))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 x eps))) (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 eps))))
(*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps x)))))
(*.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 (+.f64 x eps))))
(*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 x eps)))))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 x eps))) (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 eps))))
(*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps x)))))
(*.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 (+.f64 x eps))))
(*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 x eps)))))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 x eps))) (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 eps))))
(*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps x)))))
(*.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 (+.f64 x eps))))
(*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 x eps)))))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 x eps))) (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 eps))))
(*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -1 x))))))
(*.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 (+.f64 x eps))))
(*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 x eps)))))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 x eps))) (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 eps))))
(*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -1 x))))))
(*.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 (+.f64 x eps))))
(*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 x eps)))))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 x eps))) (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 eps))))
(*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -1 x))))))
(*.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 (+.f64 x eps))))
(*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 x eps)))))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 x eps))) (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 eps))))
(*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -1 x))))))
(*.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 (+.f64 x eps))))
(*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 x eps)))))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 x eps))) (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 eps))))
(*.f64 1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) x))
(*.f64 1/2 (*.f64 x (sin.f64 (*.f64 1/2 eps))))
(*.f64 (*.f64 1/2 x) (sin.f64 (*.f64 1/2 eps)))
(+.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))))
(fma.f64 1/2 (*.f64 x (sin.f64 (*.f64 1/2 eps))) (*.f64 -1/48 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 3))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 1/2 x) (*.f64 -1/48 (pow.f64 x 3))))
(+.f64 (*.f64 1/3840 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 5))) (+.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)))))
(fma.f64 1/3840 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 5)) (fma.f64 1/2 (*.f64 x (sin.f64 (*.f64 1/2 eps))) (*.f64 -1/48 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 3)))))
(fma.f64 1/2 (*.f64 x (sin.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 1/3840 (pow.f64 x 5)))))
(fma.f64 -1/48 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 3)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 1/2 x) (*.f64 1/3840 (pow.f64 x 5)))))
(+.f64 (*.f64 1/3840 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 5))) (+.f64 (*.f64 1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) x)) (+.f64 (*.f64 -1/645120 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 7))) (*.f64 -1/48 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 3))))))
(fma.f64 1/3840 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 5)) (fma.f64 1/2 (*.f64 x (sin.f64 (*.f64 1/2 eps))) (fma.f64 -1/645120 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 7)) (*.f64 -1/48 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 3))))))
(fma.f64 1/3840 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 5)) (fma.f64 1/2 (*.f64 x (sin.f64 (*.f64 1/2 eps))) (fma.f64 -1/48 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 3)) (*.f64 -1/645120 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 7))))))
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 -1/48 (pow.f64 x 3)) (*.f64 -1/645120 (pow.f64 x 7)))) (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 1/2 x) (*.f64 1/3840 (pow.f64 x 5)))))
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 1/2 x) (*.f64 -1/48 (pow.f64 x 3)))) (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 1/3840 (pow.f64 x 5)) (*.f64 -1/645120 (pow.f64 x 7)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 eps)))
(*.f64 1/2 (*.f64 eps (sin.f64 (*.f64 1/2 x))))
(*.f64 (*.f64 1/2 eps) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 1/2 eps))
(+.f64 (*.f64 -1/48 (*.f64 (pow.f64 eps 3) (sin.f64 (*.f64 1/2 x)))) (*.f64 1/2 (*.f64 eps (sin.f64 (*.f64 1/2 x)))))
(fma.f64 -1/48 (*.f64 (sin.f64 (*.f64 1/2 x)) (pow.f64 eps 3)) (*.f64 (*.f64 1/2 eps) (sin.f64 (*.f64 1/2 x))))
(*.f64 (sin.f64 (*.f64 1/2 x)) (+.f64 (*.f64 1/2 eps) (*.f64 (pow.f64 eps 3) -1/48)))
(*.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 (pow.f64 eps 3) -1/48 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 x)) (fma.f64 1/2 eps (*.f64 (pow.f64 eps 3) -1/48)))
(+.f64 (*.f64 -1/48 (*.f64 (pow.f64 eps 3) (sin.f64 (*.f64 1/2 x)))) (+.f64 (*.f64 1/3840 (*.f64 (pow.f64 eps 5) (sin.f64 (*.f64 1/2 x)))) (*.f64 1/2 (*.f64 eps (sin.f64 (*.f64 1/2 x))))))
(fma.f64 -1/48 (*.f64 (sin.f64 (*.f64 1/2 x)) (pow.f64 eps 3)) (fma.f64 1/3840 (*.f64 (sin.f64 (*.f64 1/2 x)) (pow.f64 eps 5)) (*.f64 (*.f64 1/2 eps) (sin.f64 (*.f64 1/2 x)))))
(fma.f64 -1/48 (*.f64 (sin.f64 (*.f64 1/2 x)) (pow.f64 eps 3)) (*.f64 (sin.f64 (*.f64 1/2 x)) (+.f64 (*.f64 1/2 eps) (*.f64 1/3840 (pow.f64 eps 5)))))
(*.f64 (sin.f64 (*.f64 1/2 x)) (+.f64 (*.f64 (pow.f64 eps 3) -1/48) (fma.f64 1/3840 (pow.f64 eps 5) (*.f64 1/2 eps))))
(*.f64 (sin.f64 (*.f64 1/2 x)) (+.f64 (*.f64 1/2 eps) (fma.f64 (pow.f64 eps 3) -1/48 (*.f64 1/3840 (pow.f64 eps 5)))))
(+.f64 (*.f64 -1/48 (*.f64 (pow.f64 eps 3) (sin.f64 (*.f64 1/2 x)))) (+.f64 (*.f64 1/3840 (*.f64 (pow.f64 eps 5) (sin.f64 (*.f64 1/2 x)))) (+.f64 (*.f64 -1/645120 (*.f64 (pow.f64 eps 7) (sin.f64 (*.f64 1/2 x)))) (*.f64 1/2 (*.f64 eps (sin.f64 (*.f64 1/2 x)))))))
(fma.f64 -1/48 (*.f64 (sin.f64 (*.f64 1/2 x)) (pow.f64 eps 3)) (fma.f64 1/3840 (*.f64 (sin.f64 (*.f64 1/2 x)) (pow.f64 eps 5)) (fma.f64 -1/645120 (*.f64 (sin.f64 (*.f64 1/2 x)) (pow.f64 eps 7)) (*.f64 (*.f64 1/2 eps) (sin.f64 (*.f64 1/2 x))))))
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) (+.f64 (*.f64 1/3840 (pow.f64 eps 5)) (*.f64 -1/645120 (pow.f64 eps 7)))) (*.f64 (sin.f64 (*.f64 1/2 x)) (+.f64 (*.f64 1/2 eps) (*.f64 (pow.f64 eps 3) -1/48))))
(*.f64 (sin.f64 (*.f64 1/2 x)) (+.f64 (fma.f64 1/3840 (pow.f64 eps 5) (*.f64 -1/645120 (pow.f64 eps 7))) (fma.f64 (pow.f64 eps 3) -1/48 (*.f64 1/2 eps))))
(*.f64 (sin.f64 (*.f64 1/2 x)) (+.f64 (fma.f64 1/2 eps (*.f64 (pow.f64 eps 3) -1/48)) (fma.f64 1/3840 (pow.f64 eps 5) (*.f64 -1/645120 (pow.f64 eps 7)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 x)))
(*.f64 (sin.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 eps)))

localize6.0ms (0%)

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(expm1.f64 (log.f64 (cos.f64 eps)))
✓0.8b
(log.f64 (cos.f64 eps))
Compiler

Compiled 12 to 5 computations (58.3% saved)

series36.0ms (0.2%)

Counts
2 → 16
Calls

6 calls:

TimeVariablePointExpression
18.0ms
eps
@-inf
(log.f64 (cos.f64 eps))
15.0ms
eps
@inf
(log.f64 (cos.f64 eps))
2.0ms
eps
@-inf
(expm1.f64 (log.f64 (cos.f64 eps)))
1.0ms
eps
@0
(log.f64 (cos.f64 eps))
1.0ms
eps
@0
(expm1.f64 (log.f64 (cos.f64 eps)))

rewrite45.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
414×pow1_binary64
397×add-sqr-sqrt_binary64
391×*-un-lft-identity_binary64
379×add-log-exp_binary64
379×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0511
19311
2104811
Stop Event
1×node limit
Counts
2 → 64
Calls
Call 1
Inputs
(log.f64 (cos.f64 eps))
(expm1.f64 (log.f64 (cos.f64 eps)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cos.f64 eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (cos.f64 eps))) (log.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (log.f64 (cbrt.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (cos.f64 eps))) (log.f64 (sqrt.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (cos.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (cos.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (cos.f64 eps))) (pow.f64 (cbrt.f64 (log.f64 (cos.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (cos.f64 eps))) 2) (cbrt.f64 (log.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (cos.f64 eps))) (sqrt.f64 (log.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (log.f64 (sqrt.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (log.f64 (cbrt.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (*.f64 3 (log.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (log.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (cos.f64 eps)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (cos.f64 eps)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 (cos.f64 eps)) 2) (pow.f64 (cbrt.f64 (log.f64 (cos.f64 eps))) 2)) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 (cos.f64 eps)) 2) (sqrt.f64 (log.f64 (cos.f64 eps)))) 1/3) (cbrt.f64 (sqrt.f64 (log.f64 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (cos.f64 eps)))) 2) 3) (cbrt.f64 (log.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (cos.f64 eps)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (cos.f64 eps)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (cos.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (cos.f64 eps)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (cos.f64 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (cos.f64 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (cos.f64 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (cos.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (cos.f64 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (cos.f64 eps))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (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 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.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 (sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (sqrt.f64 (+.f64 (cos.f64 eps) -1))) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1))) 2) 3) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cos.f64 eps) 3) 1) (fma.f64 (cos.f64 eps) (cos.f64 eps) (+.f64 1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (cos.f64 eps) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x 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 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 (cos.f64 eps) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cos.f64 eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (cos.f64 eps)) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)) -1)))))

simplify132.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
898×distribute-rgt-out_binary64
648×fma-def_binary64
581×associate-*l*_binary64
528×distribute-lft-in_binary64
434×sqr-pow_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039188
193188
2212188
3721188
43446188
55357188
66400188
76737188
87067188
97436188
107889188
Stop Event
1×node limit
Counts
80 → 78
Calls
Call 1
Inputs
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/12 (pow.f64 eps 4)))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 -1/12 (pow.f64 eps 4)) (*.f64 -1/45 (pow.f64 eps 6))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 -1/12 (pow.f64 eps 4)) (+.f64 (*.f64 -1/45 (pow.f64 eps 6)) (*.f64 -17/2520 (pow.f64 eps 8)))))
(*.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 -1/2 (pow.f64 eps 2)) (*.f64 -1/12 (pow.f64 eps 4)))
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 -1/12 (pow.f64 eps 4)))
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps -1/12) -1/2))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 -1/12 (pow.f64 eps 4)) (*.f64 -1/45 (pow.f64 eps 6))))
(fma.f64 -1/2 (*.f64 eps eps) (fma.f64 -1/12 (pow.f64 eps 4) (*.f64 -1/45 (pow.f64 eps 6))))
(fma.f64 -1/2 (*.f64 eps eps) (fma.f64 -1/45 (pow.f64 eps 6) (*.f64 -1/12 (pow.f64 eps 4))))
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 -1/12 (pow.f64 eps 4)) (+.f64 (*.f64 -1/45 (pow.f64 eps 6)) (*.f64 -17/2520 (pow.f64 eps 8)))))
(fma.f64 -1/2 (*.f64 eps eps) (fma.f64 -1/12 (pow.f64 eps 4) (fma.f64 -1/45 (pow.f64 eps 6) (*.f64 -17/2520 (pow.f64 eps 8)))))
(fma.f64 -1/2 (*.f64 eps eps) (fma.f64 -1/45 (pow.f64 eps 6) (fma.f64 -17/2520 (pow.f64 eps 8) (*.f64 -1/12 (pow.f64 eps 4)))))
(*.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 (pow.f64 eps 4) 1/24))
(fma.f64 (pow.f64 eps 4) 1/24 (*.f64 -1/2 (*.f64 eps eps)))
(*.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 -1/2 (*.f64 eps eps) (*.f64 (pow.f64 eps 6) -1/720)))
(fma.f64 -1/2 (*.f64 eps eps) (fma.f64 (pow.f64 eps 4) 1/24 (*.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 -1/2 (*.f64 eps eps) (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 (pow.f64 eps 6) -1/720 (fma.f64 (pow.f64 eps 8) 1/40320 (*.f64 -1/2 (*.f64 eps eps)))))
(fma.f64 -1/2 (*.f64 eps eps) (fma.f64 (pow.f64 eps 4) 1/24 (fma.f64 (pow.f64 eps 6) -1/720 (*.f64 (pow.f64 eps 8) 1/40320))))
(-.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)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2))
✓0.2b
(pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2)
0.9b
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
1.0b
(cos.f64 (+.f64 x eps))
Compiler

Compiled 40 to 12 computations (70% saved)

series7.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite86.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
504×log-prod_binary64
477×fma-def_binary64
316×pow-prod-down_binary64
303×pow2_binary64
244×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01025
123725
2317625
Stop Event
1×node limit
Counts
2 → 165
Calls
Call 1
Inputs
(pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2)
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2))
Outputs
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simplify68.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
866×fma-neg_binary64
674×fma-def_binary64
520×associate-*r*_binary64
511×associate-*l*_binary64
437×unswap-sqr_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0112967
1343934
21095892
35396881
Stop Event
1×node limit
Counts
213 → 203
Calls
Call 1
Inputs
(pow.f64 (-.f64 (cos.f64 eps) 1) 2)
(+.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2) (*.f64 -2 (*.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) x))))
(+.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2) (+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (cos.f64 eps) 1) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))))) (pow.f64 (sin.f64 eps) 2)) (pow.f64 x 2)) (*.f64 -2 (*.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) x)))))
(+.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2) (+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (cos.f64 eps) 1) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))))) (pow.f64 (sin.f64 eps) 2)) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (-.f64 (cos.f64 eps) 1) (sin.f64 eps))) (+.f64 (*.f64 -1 (*.f64 (sin.f64 eps) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))))) (*.f64 -1 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (sin.f64 eps))))) (pow.f64 x 3)) (*.f64 -2 (*.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) x))))))
(pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 2)
(pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 2)
(pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 2)
(pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 2)
(pow.f64 (-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)) 2)
(pow.f64 (-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)) 2)
(pow.f64 (-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)) 2)
(pow.f64 (-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)) 2)
(*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2))
(+.f64 (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 3) (sin.f64 x))) (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2)))
(+.f64 (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (+.f64 (*.f64 -1/3 (pow.f64 (sin.f64 x) 2)) (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (pow.f64 eps 4))))
(+.f64 (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 (pow.f64 eps 5) (+.f64 (*.f64 -1/12 (*.f64 (cos.f64 x) (sin.f64 x))) (*.f64 -1/6 (*.f64 (cos.f64 x) (sin.f64 x))))) (+.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (+.f64 (*.f64 -1/3 (pow.f64 (sin.f64 x) 2)) (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (pow.f64 eps 4)))))
(pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 2)
(pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 2)
(pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 2)
(pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 2)
(pow.f64 (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)) 2)
(pow.f64 (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)) 2)
(pow.f64 (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)) 2)
(pow.f64 (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)) 2)
(-.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
(pow.f64 (-.f64 (cos.f64 eps) 1) 2)
(pow.f64 (+.f64 (cos.f64 eps) -1) 2)
(+.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2) (*.f64 -2 (*.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) x))))
(+.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (*.f64 (*.f64 -2 (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) x)))
(fma.f64 (+.f64 (*.f64 (cos.f64 eps) -2) 2) (*.f64 (sin.f64 eps) x) (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
(fma.f64 (*.f64 (sin.f64 eps) x) (fma.f64 (cos.f64 eps) -2 2) (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
(+.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2) (+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (cos.f64 eps) 1) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))))) (pow.f64 (sin.f64 eps) 2)) (pow.f64 x 2)) (*.f64 -2 (*.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) x)))))
(+.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (fma.f64 (fma.f64 2 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))) (pow.f64 (sin.f64 eps) 2)) (*.f64 x x) (*.f64 (*.f64 -2 (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) x))))
(+.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (fma.f64 (fma.f64 (+.f64 (*.f64 (cos.f64 eps) 2) -2) (fma.f64 (cos.f64 eps) -1/2 1/2) (pow.f64 (sin.f64 eps) 2)) (*.f64 x x) (*.f64 (*.f64 (sin.f64 eps) x) (+.f64 (*.f64 (cos.f64 eps) -2) 2))))
(fma.f64 (*.f64 (sin.f64 eps) x) (fma.f64 (cos.f64 eps) -2 2) (fma.f64 (fma.f64 (fma.f64 (cos.f64 eps) -1/2 1/2) (fma.f64 (cos.f64 eps) 2 -2) (pow.f64 (sin.f64 eps) 2)) (*.f64 x x) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))
(fma.f64 (fma.f64 (fma.f64 (cos.f64 eps) -1/2 1/2) (fma.f64 (cos.f64 eps) 2 -2) (pow.f64 (sin.f64 eps) 2)) (*.f64 x x) (fma.f64 (*.f64 (sin.f64 eps) x) (fma.f64 (cos.f64 eps) -2 2) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))
(+.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2) (+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (cos.f64 eps) 1) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))))) (pow.f64 (sin.f64 eps) 2)) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (-.f64 (cos.f64 eps) 1) (sin.f64 eps))) (+.f64 (*.f64 -1 (*.f64 (sin.f64 eps) (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))))) (*.f64 -1 (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (sin.f64 eps))))) (pow.f64 x 3)) (*.f64 -2 (*.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) x))))))
(+.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (fma.f64 (fma.f64 2 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))) (pow.f64 (sin.f64 eps) 2)) (*.f64 x x) (fma.f64 (fma.f64 1/3 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 eps)) (*.f64 -1 (+.f64 (*.f64 (sin.f64 eps) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2))) (*.f64 (sin.f64 eps) (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)))))) (pow.f64 x 3) (*.f64 (*.f64 -2 (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) x)))))
(+.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (fma.f64 (fma.f64 (+.f64 (*.f64 (cos.f64 eps) 2) -2) (fma.f64 (cos.f64 eps) -1/2 1/2) (pow.f64 (sin.f64 eps) 2)) (*.f64 x x) (fma.f64 (fma.f64 1/3 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 eps)) (*.f64 (*.f64 (sin.f64 eps) (fma.f64 (cos.f64 eps) -1/2 1/2)) -2)) (pow.f64 x 3) (*.f64 (*.f64 (sin.f64 eps) x) (+.f64 (*.f64 (cos.f64 eps) -2) 2)))))
(+.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (fma.f64 (*.f64 (sin.f64 eps) (+.f64 (fma.f64 (cos.f64 eps) 1/3 -1/3) (*.f64 1 (+.f64 (cos.f64 eps) -1)))) (pow.f64 x 3) (*.f64 x (+.f64 (*.f64 (sin.f64 eps) (fma.f64 (cos.f64 eps) -2 2)) (*.f64 x (fma.f64 (fma.f64 (cos.f64 eps) -1/2 1/2) (fma.f64 (cos.f64 eps) 2 -2) (pow.f64 (sin.f64 eps) 2)))))))
(+.f64 (fma.f64 (*.f64 (sin.f64 eps) x) (fma.f64 (cos.f64 eps) -2 2) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) (*.f64 (*.f64 x x) (+.f64 (fma.f64 (fma.f64 (cos.f64 eps) -1/2 1/2) (fma.f64 (cos.f64 eps) 2 -2) (pow.f64 (sin.f64 eps) 2)) (*.f64 x (*.f64 (sin.f64 eps) (+.f64 (fma.f64 (cos.f64 eps) 1/3 -1/3) (+.f64 (cos.f64 eps) -1)))))))
(pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 2)
(pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 2)
(pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 2)
(pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 2)
(pow.f64 (-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)) 2)
(pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 2)
(pow.f64 (-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)) 2)
(pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 2)
(pow.f64 (-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)) 2)
(pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 2)
(pow.f64 (-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)) 2)
(pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 2)
(*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2))
(*.f64 (*.f64 eps eps) (pow.f64 (sin.f64 x) 2))
(*.f64 eps (*.f64 eps (pow.f64 (sin.f64 x) 2)))
(+.f64 (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 3) (sin.f64 x))) (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2)))
(fma.f64 (cos.f64 x) (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 (*.f64 eps eps) (pow.f64 (sin.f64 x) 2)))
(fma.f64 (cos.f64 x) (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 eps (*.f64 eps (pow.f64 (sin.f64 x) 2))))
(*.f64 (sin.f64 x) (+.f64 (*.f64 eps (*.f64 eps (sin.f64 x))) (*.f64 (cos.f64 x) (pow.f64 eps 3))))
(+.f64 (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (+.f64 (*.f64 -1/3 (pow.f64 (sin.f64 x) 2)) (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (pow.f64 eps 4))))
(fma.f64 (cos.f64 x) (*.f64 (sin.f64 x) (pow.f64 eps 3)) (fma.f64 (*.f64 eps eps) (pow.f64 (sin.f64 x) 2) (*.f64 (fma.f64 -1/3 (pow.f64 (sin.f64 x) 2) (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (pow.f64 eps 4))))
(fma.f64 (cos.f64 x) (*.f64 (sin.f64 x) (pow.f64 eps 3)) (fma.f64 (fma.f64 (pow.f64 (sin.f64 x) 2) -1/3 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (pow.f64 eps 4) (*.f64 eps (*.f64 eps (pow.f64 (sin.f64 x) 2)))))
(fma.f64 (fma.f64 (pow.f64 (sin.f64 x) 2) -1/3 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (pow.f64 eps 4) (*.f64 (sin.f64 x) (+.f64 (*.f64 eps (*.f64 eps (sin.f64 x))) (*.f64 (cos.f64 x) (pow.f64 eps 3)))))
(+.f64 (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 (pow.f64 eps 5) (+.f64 (*.f64 -1/12 (*.f64 (cos.f64 x) (sin.f64 x))) (*.f64 -1/6 (*.f64 (cos.f64 x) (sin.f64 x))))) (+.f64 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (+.f64 (*.f64 -1/3 (pow.f64 (sin.f64 x) 2)) (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (pow.f64 eps 4)))))
(fma.f64 (cos.f64 x) (*.f64 (sin.f64 x) (pow.f64 eps 3)) (fma.f64 (pow.f64 eps 5) (*.f64 (*.f64 (cos.f64 x) (sin.f64 x)) -1/4) (fma.f64 (*.f64 eps eps) (pow.f64 (sin.f64 x) 2) (*.f64 (fma.f64 -1/3 (pow.f64 (sin.f64 x) 2) (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (pow.f64 eps 4)))))
(fma.f64 (cos.f64 x) (*.f64 (sin.f64 x) (pow.f64 eps 3)) (fma.f64 (pow.f64 eps 5) (*.f64 (sin.f64 x) (*.f64 (cos.f64 x) -1/4)) (fma.f64 (fma.f64 (pow.f64 (sin.f64 x) 2) -1/3 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (pow.f64 eps 4) (*.f64 eps (*.f64 eps (pow.f64 (sin.f64 x) 2))))))
(+.f64 (fma.f64 (fma.f64 (pow.f64 (sin.f64 x) 2) -1/3 (*.f64 1/4 (pow.f64 (cos.f64 x) 2))) (pow.f64 eps 4) (*.f64 (*.f64 eps eps) (pow.f64 (sin.f64 x) 2))) (*.f64 (*.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (pow.f64 eps 3) (*.f64 (pow.f64 eps 5) -1/4))))
(pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 2)
(pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 2)
(pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 2)
(pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 2)
(pow.f64 (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)) 2)
(pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 2)
(pow.f64 (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)) 2)
(pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 2)
(pow.f64 (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)) 2)
(pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 2)
(pow.f64 (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)) 2)
(pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 2)
(-.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 (sin.f64 eps) x 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 1/2 (*.f64 (cos.f64 eps) -1/2)) (*.f64 x x))) 1))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 x (*.f64 x (fma.f64 (cos.f64 eps) -1/2 1/2))) (fma.f64 (neg.f64 x) (sin.f64 eps) -1)))
(+.f64 (cos.f64 eps) (+.f64 -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 (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 1/2 (*.f64 (cos.f64 eps) -1/2)) (*.f64 x x)))) 1))
(+.f64 (cos.f64 eps) (+.f64 (+.f64 (*.f64 x (*.f64 x (fma.f64 (cos.f64 eps) -1/2 1/2))) (*.f64 (sin.f64 eps) (+.f64 (*.f64 (pow.f64 x 3) 1/6) (neg.f64 x)))) -1))
(+.f64 (cos.f64 eps) (fma.f64 (sin.f64 eps) (-.f64 (*.f64 (pow.f64 x 3) 1/6) x) (fma.f64 (fma.f64 (cos.f64 eps) -1/2 1/2) (*.f64 x x) -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)))
(-.f64 (*.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x)))) (*.f64 eps (sin.f64 x)))
(-.f64 (*.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps))) (*.f64 eps (sin.f64 x)))
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x))) (*.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 (*.f64 (sin.f64 x) (pow.f64 eps 3)) 1/6 (*.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x))))) (*.f64 eps (sin.f64 x)))
(fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (*.f64 (pow.f64 eps 3) 1/6))))
(fma.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 (*.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)) (*.f64 (neg.f64 eps) (sin.f64 x)))))
(fma.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)) (-.f64 (fma.f64 (*.f64 (sin.f64 x) (pow.f64 eps 3)) 1/6 (*.f64 -1/2 (*.f64 eps (*.f64 eps (cos.f64 x))))) (*.f64 eps (sin.f64 x))))
(fma.f64 (cos.f64 x) (*.f64 (pow.f64 eps 4) 1/24) (fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (*.f64 (pow.f64 eps 3) 1/6)))))
(fma.f64 (cos.f64 x) (*.f64 (pow.f64 eps 4) 1/24) (fma.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 (*.f64 (pow.f64 eps 3) 1/6) 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))

localize44.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (pow.f64 (pow.f64 (*.f64 1/2 eps) 3) 1/3)))
✓13.5b
(sin.f64 (pow.f64 (pow.f64 (*.f64 1/2 eps) 3) 1/3))
✓38.8b
(pow.f64 (pow.f64 (*.f64 1/2 eps) 3) 1/3)
Compiler

Compiled 90 to 56 computations (37.8% saved)

series14.0ms (0.1%)

Counts
3 → 40
Calls

12 calls:

TimeVariablePointExpression
3.0ms
eps
@-inf
(pow.f64 (pow.f64 (*.f64 1/2 eps) 3) 1/3)
3.0ms
x
@0
(*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (pow.f64 (pow.f64 (*.f64 1/2 eps) 3) 1/3)))
3.0ms
eps
@0
(pow.f64 (pow.f64 (*.f64 1/2 eps) 3) 1/3)
2.0ms
eps
@inf
(pow.f64 (pow.f64 (*.f64 1/2 eps) 3) 1/3)
1.0ms
eps
@0
(sin.f64 (pow.f64 (pow.f64 (*.f64 1/2 eps) 3) 1/3))

rewrite67.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
454×log-prod_binary64
366×fma-def_binary64
272×pow2_binary64
235×pow-prod-down_binary64
188×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01527
135019
2422819
Stop Event
1×node limit
Counts
3 → 97
Calls
Call 1
Inputs
(pow.f64 (pow.f64 (*.f64 1/2 eps) 3) 1/3)
(sin.f64 (pow.f64 (pow.f64 (*.f64 1/2 eps) 3) 1/3))
(*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (pow.f64 (pow.f64 (*.f64 1/2 eps) 3) 1/3)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 eps) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 eps))) 2)) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 eps)))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/2 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 eps)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/2 eps)) (cbrt.f64 (*.f64 (*.f64 eps eps) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 eps eps) 1/4)) (cbrt.f64 (*.f64 1/2 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/2 eps)) (sqrt.f64 (*.f64 1/2 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/8 1/3) eps)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (sqrt.f64 eps)) (sqrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 eps 3) 1/2) (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 eps eps) 1/2) eps)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (pow.f64 eps 3)) (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (*.f64 eps eps)) eps)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 eps eps) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (sqrt.f64 (exp.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/8 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/2 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/2 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/2 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/2 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 eps 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 eps) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps 1/2 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/2 eps) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) 1/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/2 eps)) (cbrt.f64 (*.f64 (*.f64 eps eps) 1/4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 eps eps) 1/4)) (cbrt.f64 (*.f64 1/2 eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) 1/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/2 eps)) (sqrt.f64 (*.f64 1/2 eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1/8 1/3) eps 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (sqrt.f64 eps)) (sqrt.f64 eps) 0)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 0)))))) (#(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))) (sin.f64 (*.f64 1/2 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (*.f64 1/2 eps)))) 2)) (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))) (cbrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 eps)))) (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 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 4)) (sqrt.f64 (cbrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (cos.f64 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)) 6) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 eps))) 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 (cbrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 eps)))) 3/2)))) (#(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 (-.f64 1/2 (*.f64 1/2 (cos.f64 eps))))))) (#(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))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 1/2 (*.f64 1/2 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 eps))))) 2)) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 eps)))))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1/2 (*.f64 1/2 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1/2 (/.f64 (cos.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 2 (-.f64 1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (cos.f64 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)) 4) 1/2)))) (#(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 (-.f64 1/2 (*.f64 1/2 (cos.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 eps)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 eps))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (-.f64 1 (cos.f64 eps))) -1)))) (#(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 (sqrt.f64 (exp.f64 (-.f64 1 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 eps))))))))) (#(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 (-.f64 1/2 (*.f64 1/2 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 eps)))) 1))))))

simplify114.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
714×sqr-pow_binary64
658×fma-def_binary64
641×distribute-lft-out_binary64
482×unswap-sqr_binary64
289×pow-sqr_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
054572
1141372
2335372
31056372
42328372
53996372
64618372
75019372
85664372
96359372
107151372
Stop Event
1×node limit
Counts
137 → 115
Calls
Call 1
Inputs
(*.f64 1/2 eps)
(*.f64 1/2 eps)
(*.f64 1/2 eps)
(*.f64 1/2 eps)
(*.f64 1/2 eps)
(*.f64 1/2 eps)
(*.f64 1/2 eps)
(*.f64 1/2 eps)
(*.f64 -1 (*.f64 eps (cbrt.f64 -1/8)))
(*.f64 -1 (*.f64 eps (cbrt.f64 -1/8)))
(*.f64 -1 (*.f64 eps (cbrt.f64 -1/8)))
(*.f64 -1 (*.f64 eps (cbrt.f64 -1/8)))
(*.f64 1/2 eps)
(+.f64 (*.f64 -1/48 (pow.f64 eps 3)) (*.f64 1/2 eps))
(+.f64 (*.f64 1/3840 (pow.f64 eps 5)) (+.f64 (*.f64 -1/48 (pow.f64 eps 3)) (*.f64 1/2 eps)))
(+.f64 (*.f64 1/3840 (pow.f64 eps 5)) (+.f64 (*.f64 -1/48 (pow.f64 eps 3)) (+.f64 (*.f64 -1/645120 (pow.f64 eps 7)) (*.f64 1/2 eps))))
(*.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 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (pow.f64 (pow.f64 (*.f64 1/2 eps) 3) 1/3)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (pow.f64 (pow.f64 (*.f64 1/2 eps) 3) 1/3)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (pow.f64 (pow.f64 (*.f64 1/2 eps) 3) 1/3)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (pow.f64 (pow.f64 (*.f64 1/2 eps) 3) 1/3)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (pow.f64 (pow.f64 (*.f64 1/2 eps) 3) 1/3)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (pow.f64 (pow.f64 (*.f64 1/2 eps) 3) 1/3)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (pow.f64 (pow.f64 (*.f64 1/2 eps) 3) 1/3)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (pow.f64 (pow.f64 (*.f64 1/2 eps) 3) 1/3)))
(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)
(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)
Outputs
(*.f64 1/2 eps)
(*.f64 1/2 eps)
(*.f64 1/2 eps)
(*.f64 1/2 eps)
(*.f64 1/2 eps)
(*.f64 1/2 eps)
(*.f64 1/2 eps)
(*.f64 1/2 eps)
(*.f64 -1 (*.f64 eps (cbrt.f64 -1/8)))
(neg.f64 (*.f64 eps (cbrt.f64 -1/8)))
(*.f64 (cbrt.f64 -1/8) (neg.f64 eps))
(*.f64 -1 (*.f64 eps (cbrt.f64 -1/8)))
(neg.f64 (*.f64 eps (cbrt.f64 -1/8)))
(*.f64 (cbrt.f64 -1/8) (neg.f64 eps))
(*.f64 -1 (*.f64 eps (cbrt.f64 -1/8)))
(neg.f64 (*.f64 eps (cbrt.f64 -1/8)))
(*.f64 (cbrt.f64 -1/8) (neg.f64 eps))
(*.f64 -1 (*.f64 eps (cbrt.f64 -1/8)))
(neg.f64 (*.f64 eps (cbrt.f64 -1/8)))
(*.f64 (cbrt.f64 -1/8) (neg.f64 eps))
(*.f64 1/2 eps)
(+.f64 (*.f64 -1/48 (pow.f64 eps 3)) (*.f64 1/2 eps))
(fma.f64 -1/48 (pow.f64 eps 3) (*.f64 1/2 eps))
(fma.f64 1/2 eps (*.f64 -1/48 (pow.f64 eps 3)))
(*.f64 eps (fma.f64 -1/48 (*.f64 eps eps) 1/2))
(+.f64 (*.f64 1/3840 (pow.f64 eps 5)) (+.f64 (*.f64 -1/48 (pow.f64 eps 3)) (*.f64 1/2 eps)))
(fma.f64 1/3840 (pow.f64 eps 5) (fma.f64 -1/48 (pow.f64 eps 3) (*.f64 1/2 eps)))
(fma.f64 -1/48 (pow.f64 eps 3) (fma.f64 1/3840 (pow.f64 eps 5) (*.f64 1/2 eps)))
(fma.f64 1/2 eps (fma.f64 -1/48 (pow.f64 eps 3) (*.f64 1/3840 (pow.f64 eps 5))))
(fma.f64 eps (fma.f64 -1/48 (*.f64 eps eps) 1/2) (*.f64 1/3840 (pow.f64 eps 5)))
(+.f64 (*.f64 1/3840 (pow.f64 eps 5)) (+.f64 (*.f64 -1/48 (pow.f64 eps 3)) (+.f64 (*.f64 -1/645120 (pow.f64 eps 7)) (*.f64 1/2 eps))))
(fma.f64 1/3840 (pow.f64 eps 5) (fma.f64 -1/48 (pow.f64 eps 3) (fma.f64 -1/645120 (pow.f64 eps 7) (*.f64 1/2 eps))))
(fma.f64 1/3840 (pow.f64 eps 5) (fma.f64 1/2 eps (fma.f64 -1/48 (pow.f64 eps 3) (*.f64 -1/645120 (pow.f64 eps 7)))))
(fma.f64 eps (fma.f64 eps (*.f64 eps -1/48) 1/2) (fma.f64 -1/645120 (pow.f64 eps 7) (*.f64 1/3840 (pow.f64 eps 5))))
(fma.f64 eps (fma.f64 -1/48 (*.f64 eps eps) 1/2) (fma.f64 1/3840 (pow.f64 eps 5) (*.f64 -1/645120 (pow.f64 eps 7))))
(*.f64 1/4 (pow.f64 eps 2))
(*.f64 1/4 (*.f64 eps eps))
(*.f64 eps (*.f64 eps 1/4))
(+.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)))
(fma.f64 -1/48 (pow.f64 eps 4) (*.f64 eps (*.f64 eps 1/4)))
(fma.f64 eps (*.f64 eps 1/4) (*.f64 -1/48 (pow.f64 eps 4)))
(*.f64 (*.f64 eps 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 eps (*.f64 eps 1/4) (fma.f64 -1/48 (pow.f64 eps 4) (*.f64 1/1440 (pow.f64 eps 6))))
(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 eps (*.f64 eps 1/4) (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 eps (*.f64 eps 1/4) (fma.f64 (pow.f64 eps 4) (fma.f64 (pow.f64 eps 4) -1/80640 -1/48) (*.f64 1/1440 (pow.f64 eps 6))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (pow.f64 (pow.f64 (*.f64 1/2 eps) 3) 1/3)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 eps) 3))))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (pow.f64 (pow.f64 (*.f64 1/2 eps) 3) 1/3)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 eps) 3))))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (pow.f64 (pow.f64 (*.f64 1/2 eps) 3) 1/3)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 eps) 3))))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (pow.f64 (pow.f64 (*.f64 1/2 eps) 3) 1/3)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 eps) 3))))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (pow.f64 (pow.f64 (*.f64 1/2 eps) 3) 1/3)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 eps) 3))))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (pow.f64 (pow.f64 (*.f64 1/2 eps) 3) 1/3)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 eps) 3))))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (pow.f64 (pow.f64 (*.f64 1/2 eps) 3) 1/3)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 eps) 3))))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (pow.f64 (pow.f64 (*.f64 1/2 eps) 3) 1/3)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 eps) 3))))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 eps) 3))))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 eps) 3))))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 eps) 3))))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 eps) 3))))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 eps) 3))))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 eps) 3))))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 eps) 3))))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 eps) 3))))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 eps) 3))))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 eps) 3))))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 eps) 3))))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 eps) 3))))

eval365.0ms (1.7%)

Compiler

Compiled 17909 to 9800 computations (45.3% saved)

prune365.0ms (1.7%)

Pruning

85 alts after pruning (81 fresh and 4 done)

PrunedKeptTotal
New74025765
Fresh235679
Picked101
Done246
Total76685851
Error
0.1b
Counts
851 → 85
Alt Table
Click to see full alt table
StatusErrorProgram
58.1b
(expm1.f64 (sqrt.f64 (pow.f64 (log.f64 (cos.f64 eps)) 2)))
28.2b
(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)))))
30.2b
(*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))
40.5b
(*.f64 3 (*.f64 1/3 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
41.2b
(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
40.9b
(-.f64 (cos.f64 eps) (fma.f64 (sin.f64 eps) x 1))
28.1b
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
45.4b
(*.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)
34.7b
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)) 3)
12.3b
(*.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 (log.f64 (exp.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)))) (sin.f64 (*.f64 x 1/2))))) -2)
40.4b
(-.f64 (-.f64 (exp.f64 (log.f64 (+.f64 (cos.f64 eps) 1))) 1) (cos.f64 x))
58.1b
(fabs.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
29.9b
(*.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)
21.9b
(*.f64 (+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 (+.f64 x eps) 1/2))) (*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (*.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 1/2 eps)))) -2)
45.8b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (fabs.f64 (sin.f64 (*.f64 1/2 eps)))) -2)
49.8b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (expm1.f64 (log1p.f64 (*.f64 1/2 eps))))) -2)
40.2b
(-.f64 (cos.f64 eps) (cos.f64 x))
35.0b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 x)) -2)
40.9b
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
45.4b
(*.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)
39.6b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))
32.4b
(*.f64 (+.f64 (*.f64 (+.f64 1 (*.f64 (*.f64 x x) -1/2)) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 (pow.f64 x 3) -1/6))))) -2)
56.8b
(log.f64 (exp.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 x)) -2)))
40.3b
(*.f64 (/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 eps)))) -2)
51.7b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (sqrt.f64 (*.f64 eps eps)) 1/2))) -2)
28.1b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))))
28.3b
(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)))))
45.2b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (/.f64 (*.f64 (*.f64 eps eps) 1/2) eps))) -2)
28.1b
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
36.3b
(*.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 eps (sin.f64 (*.f64 1/2 x)))) -2)
58.0b
(log.f64 (+.f64 1 (*.f64 -1 (*.f64 eps (sin.f64 x)))))
28.1b
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
40.3b
(*.f64 (expm1.f64 (log1p.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 eps))))) -2)
49.1b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (pow.f64 (cbrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 eps)))) 3/2)) -2)
37.3b
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 6)) -2)
30.3b
(fma.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 (*.f64 (pow.f64 eps 3) 1/6) eps)))
24.2b
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x eps) x))))) 2) -2)
58.1b
(log.f64 1)
28.2b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (/.f64 1 (/.f64 1 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))
28.3b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 2) (/.f64 1 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))
45.7b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (neg.f64 (cos.f64 x)))))
13.1b
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x eps) x))))) 3) -2)
49.0b
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 eps) 3)))) -2)
34.4b
(*.f64 1/3 (*.f64 3 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)))
40.5b
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
40.3b
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
30.2b
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x))) (*.f64 eps (sin.f64 x)))
48.6b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (cbrt.f64 -1/8) (neg.f64 eps)))) -2)
48.4b
(expm1.f64 (*.f64 -1/2 (*.f64 eps eps)))
36.5b
(*.f64 (sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) -2)
52.5b
(*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps 1/24) -1/2)))
✓47.7b
(expm1.f64 (log.f64 (cos.f64 eps)))
57.9b
(-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 eps eps))) 1)
55.9b
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (pow.f64 (pow.f64 (*.f64 1/2 eps) 3) 1/3))) -2)
34.4b
(*.f64 3 (*.f64 1/3 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)))
28.4b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))))
28.4b
(-.f64 (-.f64 (exp.f64 (log1p.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))) 1) (cos.f64 x))
53.3b
(*.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)
50.7b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (expm1.f64 (log1p.f64 eps)) 1/2))) -2)
✓40.3b
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
36.2b
(*.f64 (sin.f64 x) (neg.f64 eps))
28.8b
(-.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (cos.f64 x))
50.7b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (pow.f64 (sqrt.f64 eps) 2) 1/2))) -2)
28.2b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))) (neg.f64 (cos.f64 x)))))
40.7b
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
32.4b
(*.f64 (sin.f64 (*.f64 eps 1/2)) (+.f64 (*.f64 (cos.f64 (*.f64 eps 1/2)) (+.f64 (*.f64 x -2) (*.f64 1/3 (pow.f64 x 3)))) (*.f64 (sin.f64 (*.f64 eps 1/2)) (+.f64 -2 (*.f64 x x)))))
34.9b
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) 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)
15.4b
(*.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 (exp.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (sin.f64 (*.f64 x 1/2))))) 1))) -2)
45.9b
(-.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (cos.f64 x))
57.4b
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2))
✓40.3b
(-.f64 (cos.f64 eps) 1)
✓52.3b
(*.f64 eps (*.f64 -1/2 eps))
32.2b
(*.f64 (sin.f64 (*.f64 eps 1/2)) (+.f64 (*.f64 (cos.f64 (*.f64 eps 1/2)) (*.f64 x -2)) (*.f64 (sin.f64 (*.f64 eps 1/2)) (+.f64 -2 (*.f64 x x)))))
30.3b
(-.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)))
34.9b
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 6) -2)
53.3b
(sqrt.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2) 2))
40.6b
(*.f64 1/3 (*.f64 3 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
12.3b
(*.f64 (log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x eps) x)))))) -2)
30.0b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (+.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))))) -2)
37.6b
(*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 6) 1/3) -2)
58.0b
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 2))
34.4b
(*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)
57.4b
(cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 6)))
28.2b
(log.f64 (exp.f64 (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 1434 to 1083 computations (24.5% saved)

regimes1.2s (5.5%)

Counts
163 → 3
Calls
Call 1
Inputs
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 eps eps))
(-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 eps eps))) 1)
(log.f64 1)
(-.f64 (cos.f64 eps) 1)
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 (sin.f64 x) (neg.f64 eps))
(expm1.f64 (*.f64 -1/2 (*.f64 eps eps)))
(*.f64 (/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 eps)))) -2)
(*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps 1/24) -1/2)))
(*.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 x) (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)
(log.f64 (+.f64 1 (*.f64 -1 (*.f64 eps (sin.f64 x)))))
(-.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 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 1/3 (*.f64 3 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.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 (+.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 1) -2)
(*.f64 1/3 (*.f64 3 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)))
(*.f64 3 (*.f64 1/3 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)))
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(*.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 eps (sin.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 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (/.f64 (*.f64 (*.f64 eps eps) 1/2) eps))) -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 (*.f64 eps eps) (/.f64 1 eps)) 1/2))) -2)
(expm1.f64 (log.f64 (cos.f64 eps)))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
(log.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 1))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
(-.f64 (cos.f64 eps) (fma.f64 (sin.f64 eps) x 1))
(fabs.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) 1))
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) 1))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 6)) -2)
(*.f64 (sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) -2)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 6) -2)
(*.f64 (sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) -2)
(*.f64 (expm1.f64 (log1p.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 eps))))) -2)
(*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 6) 1/3) -2)
(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
(*.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
(+.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 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (fabs.f64 (sin.f64 (*.f64 1/2 eps)))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (fabs.f64 (sin.f64 (*.f64 1/2 eps)))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (cbrt.f64 -1/8) (neg.f64 eps)))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (sqrt.f64 (*.f64 eps eps)) 1/2))) -2)
(*.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) 1/2) (*.f64 eps eps)))) -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 (sin.f64 (*.f64 eps 1/2)) (+.f64 (*.f64 (cos.f64 (*.f64 eps 1/2)) (*.f64 x -2)) (*.f64 (sin.f64 (*.f64 eps 1/2)) (+.f64 -2 (*.f64 x x)))))
(*.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)
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 2))
(cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 6)))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))
(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (exp.f64 (log.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(*.f64 (expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) -2)
(*.f64 (expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) -2)
(*.f64 (log.f64 (exp.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 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (cos.f64 x))
(sqrt.f64 (pow.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 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3)) (cos.f64 x))
(-.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (cos.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)) 3)
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3)) -2)
(-.f64 (-.f64 (exp.f64 (log.f64 (+.f64 (cos.f64 eps) 1))) 1) (cos.f64 x))
(*.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 (pow.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3) 1/3) -2)
(log.f64 (exp.f64 (-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)))
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 eps) 3)))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (pow.f64 (pow.f64 (*.f64 1/2 eps) 3) 1/3))) -2)
(log.f64 (exp.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 x)) -2)))
(*.f64 (log1p.f64 (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)) (sin.f64 (expm1.f64 (log1p.f64 (*.f64 1/2 eps))))) -2)
(*.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 (cos.f64 eps) -1) (*.f64 x (-.f64 (*.f64 x (fma.f64 (cos.f64 eps) -1/2 1/2)) (sin.f64 eps))))
(-.f64 (-.f64 (*.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1)) (*.f64 eps (sin.f64 x))) (cos.f64 x))
(fma.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 (*.f64 (pow.f64 eps 3) 1/6) eps)))
(*.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 (sqrt.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)) (sin.f64 (pow.f64 (sqrt.f64 (*.f64 1/2 eps)) 2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 3)) -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)
(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 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3) 1/3)) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (pow.f64 (pow.f64 (*.f64 1/2 eps) 3) 1/3))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (pow.f64 (cbrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 eps)))) 3/2)) -2)
(log.f64 (exp.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2)))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2) 2))
(*.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 (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 (*.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 (*.f64 1/2 eps)) (fma.f64 (cos.f64 (*.f64 1/2 eps)) x (*.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (sin.f64 (*.f64 1/2 eps))))) -2)
(+.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 (sin.f64 (*.f64 eps 1/2)) (+.f64 (*.f64 (cos.f64 (*.f64 eps 1/2)) (+.f64 (*.f64 x -2) (*.f64 1/3 (pow.f64 x 3)))) (*.f64 (sin.f64 (*.f64 eps 1/2)) (+.f64 -2 (*.f64 x x)))))
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (sin.f64 (*.f64 1/2 eps))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))) -2)
(expm1.f64 (sqrt.f64 (pow.f64 (log.f64 (cos.f64 eps)) 2)))
(log.f64 (*.f64 (exp.f64 (neg.f64 (cos.f64 x))) (exp.f64 (cos.f64 (+.f64 x eps)))))
(-.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 (*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 (+.f64 x eps) 1/2))) (*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (*.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 1/2 eps)))) -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))))
(fma.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))) (neg.f64 (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)))))
(/.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))))
(*.f64 (+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 (+.f64 x eps) 1/2))) (*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 eps 1/2))))) -2)
(*.f64 (+.f64 (*.f64 (+.f64 1 (*.f64 (*.f64 x x) -1/2)) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 (pow.f64 x 3) -1/6))))) -2)
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(fma.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (/.f64 1 (/.f64 1 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))) 1) (cos.f64 x))
(*.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 (log.f64 (exp.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)))) (sin.f64 (*.f64 x 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 (exp.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (sin.f64 (*.f64 x 1/2))))) 1))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (+.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))))) -2)
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (exp.f64 (log.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (neg.f64 (cos.f64 x)))))
(log.f64 (exp.f64 (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 (-.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 (log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))) (neg.f64 (cos.f64 x)))))
(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)))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (log.f64 (+.f64 1 (expm1.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 (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 (*.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)))))) -2)
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(-.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) 2) (cbrt.f64 (*.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 (*.f64 (cos.f64 x) (cos.f64 eps))) 2) (cbrt.f64 (*.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 (*.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 (pow.f64 (pow.f64 (*.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 2) (/.f64 1 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))
Outputs
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (+.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))))) -2)
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
Calls

4 calls:

390.0ms
x
385.0ms
eps
169.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
150.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
ErrorSegmentsBranch
10.6b3x
0.5b3eps
6.5b3(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
6.5b3(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 2448 to 1306 computations (46.7% saved)

bsearch133.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
76.0ms
0.0008569044353900222
5.962625102886873
56.0ms
-0.01587428569448531
-0.0004093905845400458
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes975.0ms (4.4%)

Counts
146 → 3
Calls
Call 1
Inputs
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 eps eps))
(-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 eps eps))) 1)
(log.f64 1)
(-.f64 (cos.f64 eps) 1)
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 (sin.f64 x) (neg.f64 eps))
(expm1.f64 (*.f64 -1/2 (*.f64 eps eps)))
(*.f64 (/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 eps)))) -2)
(*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps 1/24) -1/2)))
(*.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 x) (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)
(log.f64 (+.f64 1 (*.f64 -1 (*.f64 eps (sin.f64 x)))))
(-.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 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 1/3 (*.f64 3 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.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 (+.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 1) -2)
(*.f64 1/3 (*.f64 3 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)))
(*.f64 3 (*.f64 1/3 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)))
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(*.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 eps (sin.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 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (/.f64 (*.f64 (*.f64 eps eps) 1/2) eps))) -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 (*.f64 eps eps) (/.f64 1 eps)) 1/2))) -2)
(expm1.f64 (log.f64 (cos.f64 eps)))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
(log.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 1))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
(-.f64 (cos.f64 eps) (fma.f64 (sin.f64 eps) x 1))
(fabs.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) 1))
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) 1))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 6)) -2)
(*.f64 (sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) -2)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 6) -2)
(*.f64 (sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) -2)
(*.f64 (expm1.f64 (log1p.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 eps))))) -2)
(*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 6) 1/3) -2)
(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
(*.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
(+.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 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (fabs.f64 (sin.f64 (*.f64 1/2 eps)))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (fabs.f64 (sin.f64 (*.f64 1/2 eps)))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (cbrt.f64 -1/8) (neg.f64 eps)))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (sqrt.f64 (*.f64 eps eps)) 1/2))) -2)
(*.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) 1/2) (*.f64 eps eps)))) -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 (sin.f64 (*.f64 eps 1/2)) (+.f64 (*.f64 (cos.f64 (*.f64 eps 1/2)) (*.f64 x -2)) (*.f64 (sin.f64 (*.f64 eps 1/2)) (+.f64 -2 (*.f64 x x)))))
(*.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)
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 2))
(cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 6)))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))
(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (exp.f64 (log.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(*.f64 (expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) -2)
(*.f64 (expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) -2)
(*.f64 (log.f64 (exp.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 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (cos.f64 x))
(sqrt.f64 (pow.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 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3)) (cos.f64 x))
(-.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (cos.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)) 3)
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3)) -2)
(-.f64 (-.f64 (exp.f64 (log.f64 (+.f64 (cos.f64 eps) 1))) 1) (cos.f64 x))
(*.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 (pow.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3) 1/3) -2)
(log.f64 (exp.f64 (-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)))
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 eps) 3)))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (pow.f64 (pow.f64 (*.f64 1/2 eps) 3) 1/3))) -2)
(log.f64 (exp.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 x)) -2)))
(*.f64 (log1p.f64 (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)) (sin.f64 (expm1.f64 (log1p.f64 (*.f64 1/2 eps))))) -2)
(*.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 (cos.f64 eps) -1) (*.f64 x (-.f64 (*.f64 x (fma.f64 (cos.f64 eps) -1/2 1/2)) (sin.f64 eps))))
(-.f64 (-.f64 (*.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1)) (*.f64 eps (sin.f64 x))) (cos.f64 x))
(fma.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 (*.f64 (pow.f64 eps 3) 1/6) eps)))
(*.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 (sqrt.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)) (sin.f64 (pow.f64 (sqrt.f64 (*.f64 1/2 eps)) 2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 3)) -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)
(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 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3) 1/3)) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (pow.f64 (pow.f64 (*.f64 1/2 eps) 3) 1/3))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (pow.f64 (cbrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 eps)))) 3/2)) -2)
(log.f64 (exp.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2)))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2) 2))
(*.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 (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 (*.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 (*.f64 1/2 eps)) (fma.f64 (cos.f64 (*.f64 1/2 eps)) x (*.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (sin.f64 (*.f64 1/2 eps))))) -2)
(+.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 (sin.f64 (*.f64 eps 1/2)) (+.f64 (*.f64 (cos.f64 (*.f64 eps 1/2)) (+.f64 (*.f64 x -2) (*.f64 1/3 (pow.f64 x 3)))) (*.f64 (sin.f64 (*.f64 eps 1/2)) (+.f64 -2 (*.f64 x x)))))
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (sin.f64 (*.f64 1/2 eps))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))) -2)
(expm1.f64 (sqrt.f64 (pow.f64 (log.f64 (cos.f64 eps)) 2)))
(log.f64 (*.f64 (exp.f64 (neg.f64 (cos.f64 x))) (exp.f64 (cos.f64 (+.f64 x eps)))))
(-.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 (*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 (+.f64 x eps) 1/2))) (*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (*.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 1/2 eps)))) -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))))
(fma.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))) (neg.f64 (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)))))
(/.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))))
(*.f64 (+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 (+.f64 x eps) 1/2))) (*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 eps 1/2))))) -2)
(*.f64 (+.f64 (*.f64 (+.f64 1 (*.f64 (*.f64 x x) -1/2)) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 (pow.f64 x 3) -1/6))))) -2)
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(fma.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (/.f64 1 (/.f64 1 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))) 1) (cos.f64 x))
(*.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 (log.f64 (exp.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)))) (sin.f64 (*.f64 x 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 (exp.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (sin.f64 (*.f64 x 1/2))))) 1))) -2)
Outputs
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(-.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)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
Calls

4 calls:

368.0ms
x
255.0ms
eps
146.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
138.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
ErrorSegmentsBranch
10.6b3x
0.5b3eps
6.5b3(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
6.5b3(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 2047 to 1173 computations (42.7% saved)

bsearch218.0ms (1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
157.0ms
0.0008569044353900222
5.962625102886873
60.0ms
-0.01587428569448531
-0.0004093905845400458
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes1.2s (5.6%)

Counts
140 → 3
Calls
Call 1
Inputs
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 eps eps))
(-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 eps eps))) 1)
(log.f64 1)
(-.f64 (cos.f64 eps) 1)
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 (sin.f64 x) (neg.f64 eps))
(expm1.f64 (*.f64 -1/2 (*.f64 eps eps)))
(*.f64 (/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 eps)))) -2)
(*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps 1/24) -1/2)))
(*.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 x) (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)
(log.f64 (+.f64 1 (*.f64 -1 (*.f64 eps (sin.f64 x)))))
(-.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 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 1/3 (*.f64 3 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.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 (+.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 1) -2)
(*.f64 1/3 (*.f64 3 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)))
(*.f64 3 (*.f64 1/3 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)))
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(*.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 eps (sin.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 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (/.f64 (*.f64 (*.f64 eps eps) 1/2) eps))) -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 (*.f64 eps eps) (/.f64 1 eps)) 1/2))) -2)
(expm1.f64 (log.f64 (cos.f64 eps)))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
(log.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 1))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
(-.f64 (cos.f64 eps) (fma.f64 (sin.f64 eps) x 1))
(fabs.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) 1))
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) 1))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 6)) -2)
(*.f64 (sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) -2)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 6) -2)
(*.f64 (sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) -2)
(*.f64 (expm1.f64 (log1p.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 eps))))) -2)
(*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 6) 1/3) -2)
(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
(*.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
(+.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 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (fabs.f64 (sin.f64 (*.f64 1/2 eps)))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (fabs.f64 (sin.f64 (*.f64 1/2 eps)))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (cbrt.f64 -1/8) (neg.f64 eps)))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (sqrt.f64 (*.f64 eps eps)) 1/2))) -2)
(*.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) 1/2) (*.f64 eps eps)))) -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 (sin.f64 (*.f64 eps 1/2)) (+.f64 (*.f64 (cos.f64 (*.f64 eps 1/2)) (*.f64 x -2)) (*.f64 (sin.f64 (*.f64 eps 1/2)) (+.f64 -2 (*.f64 x x)))))
(*.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)
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 2))
(cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 6)))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))
(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (exp.f64 (log.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(*.f64 (expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) -2)
(*.f64 (expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) -2)
(*.f64 (log.f64 (exp.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 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (cos.f64 x))
(sqrt.f64 (pow.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 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3)) (cos.f64 x))
(-.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (cos.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)) 3)
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3)) -2)
(-.f64 (-.f64 (exp.f64 (log.f64 (+.f64 (cos.f64 eps) 1))) 1) (cos.f64 x))
(*.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 (pow.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3) 1/3) -2)
(log.f64 (exp.f64 (-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)))
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 eps) 3)))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (pow.f64 (pow.f64 (*.f64 1/2 eps) 3) 1/3))) -2)
(log.f64 (exp.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 x)) -2)))
(*.f64 (log1p.f64 (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)) (sin.f64 (expm1.f64 (log1p.f64 (*.f64 1/2 eps))))) -2)
(*.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 (cos.f64 eps) -1) (*.f64 x (-.f64 (*.f64 x (fma.f64 (cos.f64 eps) -1/2 1/2)) (sin.f64 eps))))
(-.f64 (-.f64 (*.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1)) (*.f64 eps (sin.f64 x))) (cos.f64 x))
(fma.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 (*.f64 (pow.f64 eps 3) 1/6) eps)))
(*.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 (sqrt.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)) (sin.f64 (pow.f64 (sqrt.f64 (*.f64 1/2 eps)) 2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 3)) -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)
(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 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3) 1/3)) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (pow.f64 (pow.f64 (*.f64 1/2 eps) 3) 1/3))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (pow.f64 (cbrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 eps)))) 3/2)) -2)
(log.f64 (exp.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2)))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2) 2))
(*.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 (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 (*.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 (*.f64 1/2 eps)) (fma.f64 (cos.f64 (*.f64 1/2 eps)) x (*.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (sin.f64 (*.f64 1/2 eps))))) -2)
(+.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 (sin.f64 (*.f64 eps 1/2)) (+.f64 (*.f64 (cos.f64 (*.f64 eps 1/2)) (+.f64 (*.f64 x -2) (*.f64 1/3 (pow.f64 x 3)))) (*.f64 (sin.f64 (*.f64 eps 1/2)) (+.f64 -2 (*.f64 x x)))))
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (sin.f64 (*.f64 1/2 eps))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))) -2)
(expm1.f64 (sqrt.f64 (pow.f64 (log.f64 (cos.f64 eps)) 2)))
(log.f64 (*.f64 (exp.f64 (neg.f64 (cos.f64 x))) (exp.f64 (cos.f64 (+.f64 x eps)))))
(-.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 (*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 (+.f64 x eps) 1/2))) (*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (*.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 1/2 eps)))) -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))))
(fma.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))) (neg.f64 (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)))))
(/.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))))
(*.f64 (+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 (+.f64 x eps) 1/2))) (*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (*.f64 (sin.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 eps 1/2))))) -2)
(*.f64 (+.f64 (*.f64 (+.f64 1 (*.f64 (*.f64 x x) -1/2)) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 (pow.f64 x 3) -1/6))))) -2)
Outputs
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))))
(-.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)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
Calls

4 calls:

359.0ms
eps
296.0ms
x
189.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
189.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
ErrorSegmentsBranch
10.6b3x
0.5b3eps
6.5b3(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
6.5b3(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 1910 to 1110 computations (41.9% saved)

bsearch122.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
56.0ms
0.0008569044353900222
5.962625102886873
65.0ms
-0.01587428569448531
-0.0004093905845400458
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes1.4s (6.2%)

Counts
133 → 3
Calls
Call 1
Inputs
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 eps eps))
(-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 eps eps))) 1)
(log.f64 1)
(-.f64 (cos.f64 eps) 1)
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 (sin.f64 x) (neg.f64 eps))
(expm1.f64 (*.f64 -1/2 (*.f64 eps eps)))
(*.f64 (/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 eps)))) -2)
(*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps 1/24) -1/2)))
(*.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 x) (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)
(log.f64 (+.f64 1 (*.f64 -1 (*.f64 eps (sin.f64 x)))))
(-.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 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 1/3 (*.f64 3 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.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 (+.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 1) -2)
(*.f64 1/3 (*.f64 3 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)))
(*.f64 3 (*.f64 1/3 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)))
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(*.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 eps (sin.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 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (/.f64 (*.f64 (*.f64 eps eps) 1/2) eps))) -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 (*.f64 eps eps) (/.f64 1 eps)) 1/2))) -2)
(expm1.f64 (log.f64 (cos.f64 eps)))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
(log.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 1))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
(-.f64 (cos.f64 eps) (fma.f64 (sin.f64 eps) x 1))
(fabs.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) 1))
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) 1))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 6)) -2)
(*.f64 (sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) -2)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 6) -2)
(*.f64 (sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) -2)
(*.f64 (expm1.f64 (log1p.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 eps))))) -2)
(*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 6) 1/3) -2)
(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
(*.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
(+.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 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (fabs.f64 (sin.f64 (*.f64 1/2 eps)))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (fabs.f64 (sin.f64 (*.f64 1/2 eps)))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (cbrt.f64 -1/8) (neg.f64 eps)))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (sqrt.f64 (*.f64 eps eps)) 1/2))) -2)
(*.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) 1/2) (*.f64 eps eps)))) -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 (sin.f64 (*.f64 eps 1/2)) (+.f64 (*.f64 (cos.f64 (*.f64 eps 1/2)) (*.f64 x -2)) (*.f64 (sin.f64 (*.f64 eps 1/2)) (+.f64 -2 (*.f64 x x)))))
(*.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)
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 2))
(cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 6)))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))
(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (exp.f64 (log.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(*.f64 (expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) -2)
(*.f64 (expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) -2)
(*.f64 (log.f64 (exp.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 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (cos.f64 x))
(sqrt.f64 (pow.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 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3)) (cos.f64 x))
(-.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (cos.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)) 3)
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3)) -2)
(-.f64 (-.f64 (exp.f64 (log.f64 (+.f64 (cos.f64 eps) 1))) 1) (cos.f64 x))
(*.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 (pow.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3) 1/3) -2)
(log.f64 (exp.f64 (-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)))
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 eps) 3)))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (pow.f64 (pow.f64 (*.f64 1/2 eps) 3) 1/3))) -2)
(log.f64 (exp.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 x)) -2)))
(*.f64 (log1p.f64 (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)) (sin.f64 (expm1.f64 (log1p.f64 (*.f64 1/2 eps))))) -2)
(*.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 (cos.f64 eps) -1) (*.f64 x (-.f64 (*.f64 x (fma.f64 (cos.f64 eps) -1/2 1/2)) (sin.f64 eps))))
(-.f64 (-.f64 (*.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1)) (*.f64 eps (sin.f64 x))) (cos.f64 x))
(fma.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 (*.f64 (pow.f64 eps 3) 1/6) eps)))
(*.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 (sqrt.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)) (sin.f64 (pow.f64 (sqrt.f64 (*.f64 1/2 eps)) 2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 3)) -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)
(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 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3) 1/3)) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (pow.f64 (pow.f64 (*.f64 1/2 eps) 3) 1/3))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (pow.f64 (cbrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 eps)))) 3/2)) -2)
(log.f64 (exp.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2)))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2) 2))
(*.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 (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 (*.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 (*.f64 1/2 eps)) (fma.f64 (cos.f64 (*.f64 1/2 eps)) x (*.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (sin.f64 (*.f64 1/2 eps))))) -2)
(+.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 (sin.f64 (*.f64 eps 1/2)) (+.f64 (*.f64 (cos.f64 (*.f64 eps 1/2)) (+.f64 (*.f64 x -2) (*.f64 1/3 (pow.f64 x 3)))) (*.f64 (sin.f64 (*.f64 eps 1/2)) (+.f64 -2 (*.f64 x x)))))
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (sin.f64 (*.f64 1/2 eps))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))) -2)
(expm1.f64 (sqrt.f64 (pow.f64 (log.f64 (cos.f64 eps)) 2)))
(log.f64 (*.f64 (exp.f64 (neg.f64 (cos.f64 x))) (exp.f64 (cos.f64 (+.f64 x eps)))))
(-.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 (*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 (+.f64 x eps) 1/2))) (*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (*.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 1/2 eps)))) -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 (*.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)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
Calls

4 calls:

474.0ms
eps
341.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
259.0ms
x
211.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
ErrorSegmentsBranch
10.6b3x
0.5b3eps
6.5b3(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
6.5b3(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 1758 to 1034 computations (41.2% saved)

bsearch122.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
60.0ms
0.0008569044353900222
5.962625102886873
58.0ms
-0.01587428569448531
-0.0004093905845400458
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes1.3s (5.8%)

Counts
131 → 3
Calls
Call 1
Inputs
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 eps eps))
(-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 eps eps))) 1)
(log.f64 1)
(-.f64 (cos.f64 eps) 1)
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 (sin.f64 x) (neg.f64 eps))
(expm1.f64 (*.f64 -1/2 (*.f64 eps eps)))
(*.f64 (/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 eps)))) -2)
(*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps 1/24) -1/2)))
(*.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 x) (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)
(log.f64 (+.f64 1 (*.f64 -1 (*.f64 eps (sin.f64 x)))))
(-.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 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 1/3 (*.f64 3 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.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 (+.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 1) -2)
(*.f64 1/3 (*.f64 3 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)))
(*.f64 3 (*.f64 1/3 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)))
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(*.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 eps (sin.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 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (/.f64 (*.f64 (*.f64 eps eps) 1/2) eps))) -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 (*.f64 eps eps) (/.f64 1 eps)) 1/2))) -2)
(expm1.f64 (log.f64 (cos.f64 eps)))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
(log.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 1))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
(-.f64 (cos.f64 eps) (fma.f64 (sin.f64 eps) x 1))
(fabs.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) 1))
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) 1))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 6)) -2)
(*.f64 (sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) -2)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 6) -2)
(*.f64 (sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) -2)
(*.f64 (expm1.f64 (log1p.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 eps))))) -2)
(*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 6) 1/3) -2)
(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
(*.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
(+.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 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (fabs.f64 (sin.f64 (*.f64 1/2 eps)))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (fabs.f64 (sin.f64 (*.f64 1/2 eps)))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (cbrt.f64 -1/8) (neg.f64 eps)))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (sqrt.f64 (*.f64 eps eps)) 1/2))) -2)
(*.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) 1/2) (*.f64 eps eps)))) -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 (sin.f64 (*.f64 eps 1/2)) (+.f64 (*.f64 (cos.f64 (*.f64 eps 1/2)) (*.f64 x -2)) (*.f64 (sin.f64 (*.f64 eps 1/2)) (+.f64 -2 (*.f64 x x)))))
(*.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)
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 2))
(cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 6)))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))
(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (exp.f64 (log.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(*.f64 (expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) -2)
(*.f64 (expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) -2)
(*.f64 (log.f64 (exp.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 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (cos.f64 x))
(sqrt.f64 (pow.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 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3)) (cos.f64 x))
(-.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (cos.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)) 3)
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3)) -2)
(-.f64 (-.f64 (exp.f64 (log.f64 (+.f64 (cos.f64 eps) 1))) 1) (cos.f64 x))
(*.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 (pow.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3) 1/3) -2)
(log.f64 (exp.f64 (-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)))
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 eps) 3)))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (pow.f64 (pow.f64 (*.f64 1/2 eps) 3) 1/3))) -2)
(log.f64 (exp.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 x)) -2)))
(*.f64 (log1p.f64 (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)) (sin.f64 (expm1.f64 (log1p.f64 (*.f64 1/2 eps))))) -2)
(*.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 (cos.f64 eps) -1) (*.f64 x (-.f64 (*.f64 x (fma.f64 (cos.f64 eps) -1/2 1/2)) (sin.f64 eps))))
(-.f64 (-.f64 (*.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1)) (*.f64 eps (sin.f64 x))) (cos.f64 x))
(fma.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 (*.f64 (pow.f64 eps 3) 1/6) eps)))
(*.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 (sqrt.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)) (sin.f64 (pow.f64 (sqrt.f64 (*.f64 1/2 eps)) 2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 3)) -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)
(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 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3) 1/3)) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (pow.f64 (pow.f64 (*.f64 1/2 eps) 3) 1/3))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (pow.f64 (cbrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 eps)))) 3/2)) -2)
(log.f64 (exp.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2)))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2) 2))
(*.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 (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 (*.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 (*.f64 1/2 eps)) (fma.f64 (cos.f64 (*.f64 1/2 eps)) x (*.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (sin.f64 (*.f64 1/2 eps))))) -2)
(+.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 (sin.f64 (*.f64 eps 1/2)) (+.f64 (*.f64 (cos.f64 (*.f64 eps 1/2)) (+.f64 (*.f64 x -2) (*.f64 1/3 (pow.f64 x 3)))) (*.f64 (sin.f64 (*.f64 eps 1/2)) (+.f64 -2 (*.f64 x x)))))
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (sin.f64 (*.f64 1/2 eps))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))) -2)
(expm1.f64 (sqrt.f64 (pow.f64 (log.f64 (cos.f64 eps)) 2)))
(log.f64 (*.f64 (exp.f64 (neg.f64 (cos.f64 x))) (exp.f64 (cos.f64 (+.f64 x eps)))))
(-.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 (*.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 x 1/2))) (sin.f64 (*.f64 (+.f64 x eps) 1/2))) (*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (*.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 1/2 eps)))) -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)
Outputs
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(-.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 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
Calls

4 calls:

468.0ms
eps
401.0ms
x
200.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
148.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
ErrorSegmentsBranch
10.6b3x
0.5b3eps
6.5b3(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
6.5b3(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 1732 to 1032 computations (40.4% saved)

bsearch155.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
94.0ms
0.0008569044353900222
5.962625102886873
59.0ms
-0.01587428569448531
-0.0004093905845400458
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes913.0ms (4.1%)

Counts
127 → 3
Calls
Call 1
Inputs
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 eps eps))
(-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 eps eps))) 1)
(log.f64 1)
(-.f64 (cos.f64 eps) 1)
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 (sin.f64 x) (neg.f64 eps))
(expm1.f64 (*.f64 -1/2 (*.f64 eps eps)))
(*.f64 (/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 eps)))) -2)
(*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps 1/24) -1/2)))
(*.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 x) (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)
(log.f64 (+.f64 1 (*.f64 -1 (*.f64 eps (sin.f64 x)))))
(-.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 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 1/3 (*.f64 3 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.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 (+.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 1) -2)
(*.f64 1/3 (*.f64 3 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)))
(*.f64 3 (*.f64 1/3 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)))
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(*.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 eps (sin.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 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (/.f64 (*.f64 (*.f64 eps eps) 1/2) eps))) -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 (*.f64 eps eps) (/.f64 1 eps)) 1/2))) -2)
(expm1.f64 (log.f64 (cos.f64 eps)))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
(log.f64 (exp.f64 (-.f64 (cos.f64 eps) 1)))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 1))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
(-.f64 (cos.f64 eps) (fma.f64 (sin.f64 eps) x 1))
(fabs.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) 1))
(-.f64 (cos.f64 eps) (fma.f64 x (sin.f64 eps) 1))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 6)) -2)
(*.f64 (sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) -2)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 6) -2)
(*.f64 (sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) -2)
(*.f64 (expm1.f64 (log1p.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 eps))))) -2)
(*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 6) 1/3) -2)
(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
(*.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
(+.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 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (fabs.f64 (sin.f64 (*.f64 1/2 eps)))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (fabs.f64 (sin.f64 (*.f64 1/2 eps)))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (cbrt.f64 -1/8) (neg.f64 eps)))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (sqrt.f64 (*.f64 eps eps)) 1/2))) -2)
(*.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) 1/2) (*.f64 eps eps)))) -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 (sin.f64 (*.f64 eps 1/2)) (+.f64 (*.f64 (cos.f64 (*.f64 eps 1/2)) (*.f64 x -2)) (*.f64 (sin.f64 (*.f64 eps 1/2)) (+.f64 -2 (*.f64 x x)))))
(*.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)
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 eps) (cos.f64 x)) 2))
(cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 6)))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))
(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(expm1.f64 (log1p.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (exp.f64 (log.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(*.f64 (expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) -2)
(*.f64 (expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) -2)
(*.f64 (log.f64 (exp.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 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (cos.f64 x))
(sqrt.f64 (pow.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 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3)) (cos.f64 x))
(-.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (cos.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)) 3)
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3)) -2)
(-.f64 (-.f64 (exp.f64 (log.f64 (+.f64 (cos.f64 eps) 1))) 1) (cos.f64 x))
(*.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 (pow.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3) 1/3) -2)
(log.f64 (exp.f64 (-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)))
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (cbrt.f64 (pow.f64 (*.f64 1/2 eps) 3)))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (pow.f64 (pow.f64 (*.f64 1/2 eps) 3) 1/3))) -2)
(log.f64 (exp.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 x)) -2)))
(*.f64 (log1p.f64 (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)) (sin.f64 (expm1.f64 (log1p.f64 (*.f64 1/2 eps))))) -2)
(*.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 (cos.f64 eps) -1) (*.f64 x (-.f64 (*.f64 x (fma.f64 (cos.f64 eps) -1/2 1/2)) (sin.f64 eps))))
(-.f64 (-.f64 (*.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1)) (*.f64 eps (sin.f64 x))) (cos.f64 x))
(fma.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 (*.f64 (pow.f64 eps 3) 1/6) eps)))
(*.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 (sqrt.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)) (sin.f64 (pow.f64 (sqrt.f64 (*.f64 1/2 eps)) 2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 3)) -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)
(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 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3) 1/3)) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (pow.f64 (pow.f64 (*.f64 1/2 eps) 3) 1/3))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (pow.f64 (cbrt.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 eps)))) 3/2)) -2)
(log.f64 (exp.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2)))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2) 2))
(*.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 (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 (*.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 (*.f64 1/2 eps)) (fma.f64 (cos.f64 (*.f64 1/2 eps)) x (*.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (sin.f64 (*.f64 1/2 eps))))) -2)
(+.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 (sin.f64 (*.f64 eps 1/2)) (+.f64 (*.f64 (cos.f64 (*.f64 eps 1/2)) (+.f64 (*.f64 x -2) (*.f64 1/3 (pow.f64 x 3)))) (*.f64 (sin.f64 (*.f64 eps 1/2)) (+.f64 -2 (*.f64 x x)))))
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (sin.f64 (*.f64 1/2 eps))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))) -2)
(expm1.f64 (sqrt.f64 (pow.f64 (log.f64 (cos.f64 eps)) 2)))
(log.f64 (*.f64 (exp.f64 (neg.f64 (cos.f64 x))) (exp.f64 (cos.f64 (+.f64 x eps)))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
Outputs
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.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))))
Calls

4 calls:

218.0ms
eps
196.0ms
x
188.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
167.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
ErrorSegmentsBranch
10.7b3x
0.5b3eps
6.6b3(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
6.6b3(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 1630 to 971 computations (40.4% saved)

bsearch114.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
56.0ms
0.0008569044353900222
5.962625102886873
57.0ms
-0.01587428569448531
-0.0004093905845400458
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes395.0ms (1.8%)

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

4 calls:

118.0ms
x
93.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
79.0ms
eps
57.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
ErrorSegmentsBranch
12.3b1x
12.3b1eps
12.3b1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
12.3b1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 1616 to 967 computations (40.2% saved)

regimes293.0ms (1.3%)

Counts
33 → 3
Calls
Call 1
Inputs
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 eps eps))
(-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 eps eps))) 1)
(log.f64 1)
(-.f64 (cos.f64 eps) 1)
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 (sin.f64 x) (neg.f64 eps))
(expm1.f64 (*.f64 -1/2 (*.f64 eps eps)))
(*.f64 (/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 eps)))) -2)
(*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps 1/24) -1/2)))
(*.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 x) (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)
(log.f64 (+.f64 1 (*.f64 -1 (*.f64 eps (sin.f64 x)))))
(-.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 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 1/3 (*.f64 3 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.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 (+.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 1) -2)
(*.f64 1/3 (*.f64 3 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)))
(*.f64 3 (*.f64 1/3 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)))
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(*.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 eps (sin.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 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (/.f64 (*.f64 (*.f64 eps eps) 1/2) eps))) -2)
Outputs
(*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x))) (*.f64 eps (sin.f64 x)))
(-.f64 (cos.f64 eps) (cos.f64 x))
Calls

4 calls:

195.0ms
eps
47.0ms
x
22.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
19.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
ErrorSegmentsBranch
15.2b3x
12.2b3eps
12.8b2(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
12.8b2(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 324 to 193 computations (40.4% saved)

bsearch129.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
66.0ms
0.0008569044353900222
5.962625102886873
63.0ms
-0.0004093905845400458
-3.029191699827036e-5
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes208.0ms (0.9%)

Counts
29 → 3
Calls
Call 1
Inputs
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 eps eps))
(-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 eps eps))) 1)
(log.f64 1)
(-.f64 (cos.f64 eps) 1)
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 (sin.f64 x) (neg.f64 eps))
(expm1.f64 (*.f64 -1/2 (*.f64 eps eps)))
(*.f64 (/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 eps)))) -2)
(*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps 1/24) -1/2)))
(*.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 x) (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)
(log.f64 (+.f64 1 (*.f64 -1 (*.f64 eps (sin.f64 x)))))
(-.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 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 1/3 (*.f64 3 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.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 (+.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 1) -2)
(*.f64 1/3 (*.f64 3 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)))
(*.f64 3 (*.f64 1/3 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)))
Outputs
(*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)
(*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))
(-.f64 (cos.f64 eps) (cos.f64 x))
Calls

4 calls:

79.0ms
eps
70.0ms
x
29.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
22.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
ErrorSegmentsBranch
16.4b3x
12.2b3eps
12.8b2(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
12.8b2(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 266 to 161 computations (39.5% saved)

bsearch137.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
62.0ms
0.0008569044353900222
5.962625102886873
75.0ms
-0.0004093905845400458
-3.029191699827036e-5
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes101.0ms (0.5%)

Counts
20 → 3
Calls
Call 1
Inputs
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 eps eps))
(-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 eps eps))) 1)
(log.f64 1)
(-.f64 (cos.f64 eps) 1)
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 (sin.f64 x) (neg.f64 eps))
(expm1.f64 (*.f64 -1/2 (*.f64 eps eps)))
(*.f64 (/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 eps)))) -2)
(*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps 1/24) -1/2)))
(*.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 x) (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)
(log.f64 (+.f64 1 (*.f64 -1 (*.f64 eps (sin.f64 x)))))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
Outputs
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)
(*.f64 (sin.f64 x) (neg.f64 eps))
Calls

4 calls:

32.0ms
eps
32.0ms
x
17.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
14.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
ErrorSegmentsBranch
16.4b3x
17.1b3eps
18.6b2(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
18.6b2(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 164 to 100 computations (39% saved)

bsearch182.0ms (0.8%)

Algorithm
2×binary-search
Steps
TimeLeftRight
80.0ms
5.765655092283564e-33
3.57476422624369e-26
102.0ms
-9.663103832920895e-41
-1.931165182630883e-44
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes93.0ms (0.4%)

Counts
16 → 3
Calls
Call 1
Inputs
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 eps eps))
(-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 eps eps))) 1)
(log.f64 1)
(-.f64 (cos.f64 eps) 1)
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 (sin.f64 x) (neg.f64 eps))
(expm1.f64 (*.f64 -1/2 (*.f64 eps eps)))
(*.f64 (/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 eps)))) -2)
(*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps 1/24) -1/2)))
(*.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 x) (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 (cos.f64 eps) (cos.f64 x))
Calls

4 calls:

40.0ms
x
25.0ms
eps
12.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
11.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
ErrorSegmentsBranch
21.1b5x
18.1b3eps
18.9b2(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
18.9b2(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 128 to 73 computations (43% saved)

bsearch123.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
64.0ms
1.4478825126045238e-27
3.866108660305141e-27
58.0ms
-0.0004093905845400458
-3.029191699827036e-5
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes58.0ms (0.3%)

Counts
12 → 3
Calls
Call 1
Inputs
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 eps eps))
(-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 eps eps))) 1)
(log.f64 1)
(-.f64 (cos.f64 eps) 1)
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 (sin.f64 x) (neg.f64 eps))
(expm1.f64 (*.f64 -1/2 (*.f64 eps eps)))
(*.f64 (/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 eps)))) -2)
(*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps 1/24) -1/2)))
(*.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 (cos.f64 eps) 1)
Calls

2 calls:

32.0ms
x
22.0ms
eps
Results
ErrorSegmentsBranch
21.1b5x
18.5b3eps
Compiler

Compiled 88 to 55 computations (37.5% saved)

bsearch122.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
63.0ms
1.4478825126045238e-27
3.866108660305141e-27
58.0ms
-0.0004093905845400458
-3.029191699827036e-5
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes19.0ms (0.1%)

Counts
5 → 3
Calls
Call 1
Inputs
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 eps eps))
(-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 eps eps))) 1)
(log.f64 1)
(-.f64 (cos.f64 eps) 1)
Outputs
(-.f64 (cos.f64 eps) 1)
(*.f64 eps (*.f64 -1/2 eps))
(-.f64 (cos.f64 eps) 1)
Calls

2 calls:

13.0ms
eps
5.0ms
x
Results
ErrorSegmentsBranch
40.3b1x
34.6b3eps
Compiler

Compiled 33 to 23 computations (30.3% saved)

bsearch115.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
56.0ms
0.0008569044353900222
5.962625102886873
58.0ms
-0.0004093905845400458
-3.029191699827036e-5
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes11.0ms (0%)

Accuracy

Total -6.5b remaining (-12.4%)

Threshold costs -6.5b (-12.4%)

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

2 calls:

5.0ms
eps
4.0ms
x
Results
ErrorSegmentsBranch
52.3b1x
52.3b1eps
Compiler

Compiled 29 to 20 computations (31% saved)

simplify40.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
40×*-commutative_binary64
29×+-commutative_binary64
21×sub-neg_binary64
11×neg-sub0_binary64
11×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115851
1188851
2231851
3251851
4261851
5263851
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 eps -2287725668430619/144115188075855872) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) (if (<=.f64 eps 7903548407633161/9223372036854775808) (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (+.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))))) -2) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))
(if (<=.f64 eps -2287725668430619/144115188075855872) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) (if (<=.f64 eps 7903548407633161/9223372036854775808) (-.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)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))
(if (<=.f64 eps -2287725668430619/144115188075855872) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))) (if (<=.f64 eps 7903548407633161/9223372036854775808) (-.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)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))
(if (<=.f64 eps -2287725668430619/144115188075855872) (-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) (if (<=.f64 eps 7903548407633161/9223372036854775808) (-.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)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))
(if (<=.f64 eps -2287725668430619/144115188075855872) (-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) (if (<=.f64 eps 7903548407633161/9223372036854775808) (-.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 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))))
(if (<=.f64 eps -2287725668430619/144115188075855872) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) (if (<=.f64 eps 7903548407633161/9223372036854775808) (-.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 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2)
(if (<=.f64 eps -7551923339196579/18446744073709551616) (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2) (if (<=.f64 eps 7903548407633161/9223372036854775808) (-.f64 (*.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x))) (*.f64 eps (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -7551923339196579/18446744073709551616) (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2) (if (<=.f64 eps 7903548407633161/9223372036854775808) (*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 x -296173270697507/3064991081731777716716694054300618367237478244367204352) (*.f64 (sin.f64 x) (neg.f64 eps)) (if (<=.f64 x 8426514357657687/1461501637330902918203684832716283019655932542976) (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2) (*.f64 (sin.f64 x) (neg.f64 eps))))
(if (<=.f64 eps -7551923339196579/18446744073709551616) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 8072214747750447/5575186299632655785383929568162090376495104) (*.f64 (sin.f64 x) (neg.f64 eps)) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -7551923339196579/18446744073709551616) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 8072214747750447/5575186299632655785383929568162090376495104) (*.f64 (sin.f64 x) (neg.f64 eps)) (-.f64 (cos.f64 eps) 1)))
(if (<=.f64 eps -7551923339196579/18446744073709551616) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 7903548407633161/9223372036854775808) (*.f64 eps (*.f64 -1/2 eps)) (-.f64 (cos.f64 eps) 1)))
(*.f64 eps (*.f64 -1/2 eps))
Outputs
(if (<=.f64 eps -2287725668430619/144115188075855872) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) (if (<=.f64 eps 7903548407633161/9223372036854775808) (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (+.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))))) -2) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))
(if (<=.f64 eps -2287725668430619/144115188075855872) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) (if (<=.f64 eps 7903548407633161/9223372036854775808) (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (+.f64 (*.f64 -1/8 (*.f64 (sin.f64 x) (pow.f64 eps 2))) (+.f64 (*.f64 -1/48 (*.f64 (cos.f64 x) (pow.f64 eps 3))) (+.f64 (sin.f64 x) (*.f64 1/2 (*.f64 eps (cos.f64 x))))))) -2) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))
(if (<=.f64 eps -2287725668430619/144115188075855872) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) (if (<=.f64 eps 7903548407633161/9223372036854775808) (-.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)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))
(if (<=.f64 eps -2287725668430619/144115188075855872) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))) (if (<=.f64 eps 7903548407633161/9223372036854775808) (-.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)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))
(if (<=.f64 eps -2287725668430619/144115188075855872) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))) (if (<=.f64 eps 7903548407633161/9223372036854775808) (-.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)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))
(if (<=.f64 eps -2287725668430619/144115188075855872) (fma.f64 (cos.f64 x) (cos.f64 eps) (-.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (cos.f64 x))) (if (<=.f64 eps 7903548407633161/9223372036854775808) (-.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)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))
(if (<=.f64 eps -2287725668430619/144115188075855872) (fma.f64 (cos.f64 x) (cos.f64 eps) (-.f64 (neg.f64 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))) (if (<=.f64 eps 7903548407633161/9223372036854775808) (-.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)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))
(if (<=.f64 eps -2287725668430619/144115188075855872) (-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) (if (<=.f64 eps 7903548407633161/9223372036854775808) (-.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)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))
(if (<=.f64 eps -2287725668430619/144115188075855872) (-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) (if (<=.f64 eps 7903548407633161/9223372036854775808) (-.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 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))))
(if (<=.f64 eps -2287725668430619/144115188075855872) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) (if (<=.f64 eps 7903548407633161/9223372036854775808) (-.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 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2)
(*.f64 -2 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x))))))
(if (<=.f64 eps -7551923339196579/18446744073709551616) (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2) (if (<=.f64 eps 7903548407633161/9223372036854775808) (-.f64 (*.f64 (*.f64 eps eps) (*.f64 -1/2 (cos.f64 x))) (*.f64 eps (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -7551923339196579/18446744073709551616) (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)) (if (<=.f64 eps 7903548407633161/9223372036854775808) (-.f64 (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)) (*.f64 eps (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -7551923339196579/18446744073709551616) (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2) (if (<=.f64 eps 7903548407633161/9223372036854775808) (*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -7551923339196579/18446744073709551616) (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)) (if (<=.f64 eps 7903548407633161/9223372036854775808) (*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 x -296173270697507/3064991081731777716716694054300618367237478244367204352) (*.f64 (sin.f64 x) (neg.f64 eps)) (if (<=.f64 x 8426514357657687/1461501637330902918203684832716283019655932542976) (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2) (*.f64 (sin.f64 x) (neg.f64 eps))))
(if (<=.f64 x -296173270697507/3064991081731777716716694054300618367237478244367204352) (*.f64 (sin.f64 x) (neg.f64 eps)) (if (<=.f64 x 8426514357657687/1461501637330902918203684832716283019655932542976) (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)) (*.f64 (sin.f64 x) (neg.f64 eps))))
(if (<=.f64 eps -7551923339196579/18446744073709551616) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 8072214747750447/5575186299632655785383929568162090376495104) (*.f64 (sin.f64 x) (neg.f64 eps)) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -7551923339196579/18446744073709551616) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 8072214747750447/5575186299632655785383929568162090376495104) (*.f64 (sin.f64 x) (neg.f64 eps)) (-.f64 (cos.f64 eps) 1)))
(if (<=.f64 eps -7551923339196579/18446744073709551616) (+.f64 (cos.f64 eps) -1) (if (<=.f64 eps 8072214747750447/5575186299632655785383929568162090376495104) (*.f64 (sin.f64 x) (neg.f64 eps)) (+.f64 (cos.f64 eps) -1)))
(if (<=.f64 eps -7551923339196579/18446744073709551616) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 7903548407633161/9223372036854775808) (*.f64 eps (*.f64 -1/2 eps)) (-.f64 (cos.f64 eps) 1)))
(if (<=.f64 eps -7551923339196579/18446744073709551616) (+.f64 (cos.f64 eps) -1) (if (<=.f64 eps 7903548407633161/9223372036854775808) (*.f64 eps (*.f64 eps -1/2)) (+.f64 (cos.f64 eps) -1)))
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 eps (*.f64 eps -1/2))
Compiler

Compiled 577 to 330 computations (42.8% saved)

soundness0.0ms (0%)

end193.0ms (0.9%)

Compiler

Compiled 551 to 236 computations (57.2% saved)

Profiling

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