Details

Time bar (total: 21.2s)

analyze1.0ms (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)

sample5.2s (24.3%)

Results
2.3s4013×body1024valid
2.2s2096×body2048valid
495.0ms1417×body512valid
141.0ms729×body256valid
1.0ms1×body4096valid
Bogosity

preprocess56.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 11 to 8 computations (27.3% saved)

simplify12.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

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

eval44.0ms (0.2%)

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
42.8b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶42.8b
(-.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
✓0.7b
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓2.0b
(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))

rewrite93.0ms (0.4%)

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)))))))

simplify74.0ms (0.4%)

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

Useful iterations: 3 (0.0ms)

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

eval90.0ms (0.4%)

Compiler

Compiled 3964 to 1199 computations (69.8% saved)

prune93.0ms (0.4%)

Pruning

36 alts after pruning (35 fresh and 1 done)

PrunedKeptTotal
New18435219
Fresh000
Picked011
Done000
Total18436220
Error
0.2b
Counts
220 → 36
Alt Table
Click to see full alt table
StatusErrorProgram
56.5b
(-.f64 (cos.f64 x) (cos.f64 x))
▶15.0b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2)
27.5b
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (cos.f64 x))
35.7b
(fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
43.1b
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) 2) 3) (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
✓42.8b
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
16.3b
(*.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
(-.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))
27.5b
(fma.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
▶43.0b
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
42.9b
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3))
44.0b
(-.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)
▶42.9b
(-.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
43.6b
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
43.8b
(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
42.8b
(-.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3)) (cos.f64 x))
29.9b
(+.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)))))
42.6b
(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)))))
▶42.1b
(-.f64 (cos.f64 eps) 1)
42.2b
(-.f64 (cos.f64 eps) (cos.f64 x))
42.8b
(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
29.7b
(fma.f64 eps (*.f64 eps (*.f64 -1/2 (cos.f64 x))) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))
42.9b
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
27.8b
(-.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))
29.3b
(*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))
▶27.6b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
49.1b
(-.f64 (pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 2) (cos.f64 x))
56.4b
(-.f64 (-.f64 (*.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1)) (*.f64 eps (sin.f64 x))) (cos.f64 x))
27.5b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
43.1b
(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
27.5b
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
34.6b
(*.f64 (sin.f64 x) (neg.f64 eps))
27.9b
(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)))))
42.8b
(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
46.5b
(-.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (cos.f64 x))
56.4b
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2))
Compiler

Compiled 1135 to 756 computations (33.4% saved)

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2)
✓0.0b
(+.f64 x (+.f64 x eps))
✓0.3b
(*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))
✓2.0b
(sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))
Compiler

Compiled 88 to 34 computations (61.4% saved)

series15.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

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

rewrite105.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
687×fma-def_binary64
550×log-prod_binary64
304×fma-neg_binary64
222×expm1-udef_binary64
222×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01568
135228
2526428
Stop Event
1×node limit
Counts
4 → 205
Calls
Call 1
Inputs
(sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))
(*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))
(+.f64 x (+.f64 x eps))
(*.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 (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 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 log1p.f64 (expm1.f64 (sin.f64 (*.f64 1/2 eps))))))))
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (cbrt.f64 (pow.f64 (exp.f64 -2) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps)))) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sqrt.f64 -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)))))))

simplify78.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
862×fma-def_binary64
568×distribute-rgt-out_binary64
514×associate-*l*_binary64
499×associate-*r*_binary64
481×distribute-rgt-neg-out_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01131592
13351560
29841357
340671325
Stop Event
1×node limit
Counts
301 → 266
Calls
Call 1
Inputs
(sin.f64 (*.f64 1/2 eps))
(+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (sin.f64 (*.f64 1/2 eps)))
(+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 2)))))
(+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (+.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3))) (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 2))))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))
(sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))
(sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))
(sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))
(sin.f64 x)
(+.f64 (*.f64 1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))
(+.f64 (*.f64 -1/8 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (*.f64 1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(+.f64 (*.f64 -1/8 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (*.f64 -1/48 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (+.f64 (*.f64 1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))
(sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))
(sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))
(sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))
(*.f64 1/2 (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 1/2 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (sin.f64 x)) (*.f64 -1/48 (sin.f64 x)))) (*.f64 1/2 (*.f64 eps (sin.f64 x)))))
(+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (sin.f64 x)) (*.f64 -1/48 (sin.f64 x)))) (+.f64 (*.f64 -1/48 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (*.f64 1/2 (*.f64 eps (sin.f64 x))))))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 -1/2 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 2)))))
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (+.f64 (*.f64 -1/6 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3)))) (*.f64 -1/2 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 2))))))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))
eps
(+.f64 (*.f64 2 x) eps)
(+.f64 (*.f64 2 x) eps)
(+.f64 (*.f64 2 x) eps)
(*.f64 2 x)
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 2 x))
(*.f64 2 x)
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 2 x))
(*.f64 2 x)
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 2 x))
eps
(+.f64 (*.f64 2 x) eps)
(+.f64 (*.f64 2 x) eps)
(+.f64 (*.f64 2 x) eps)
eps
(+.f64 (*.f64 2 x) eps)
(+.f64 (*.f64 2 x) eps)
(+.f64 (*.f64 2 x) eps)
(*.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
(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))))
(+.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 (*.f64 x (*.f64 x -1/2)) 1) (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 (fma.f64 1/2 eps (*.f64 x 1)))
(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 (fma.f64 1/2 eps (*.f64 x 1)))
(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 (fma.f64 1/2 eps (*.f64 x 1)))
(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 (fma.f64 1/2 eps (*.f64 x 1)))
(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 (fma.f64 1/2 eps (*.f64 x 1)))
(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 (fma.f64 1/2 eps (*.f64 x 1)))
(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 (fma.f64 1/2 eps (*.f64 x 1)))
(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 (fma.f64 1/2 eps (*.f64 x 1)))
(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)) (fma.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/8)) (sin.f64 x)))
(fma.f64 1/2 (*.f64 eps (cos.f64 x)) (*.f64 (+.f64 (*.f64 eps (*.f64 eps -1/8)) 1) (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 (cos.f64 x) (fma.f64 -1/48 (pow.f64 eps 3) (*.f64 1/2 eps)) (fma.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/8)) (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)))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(sin.f64 (fma.f64 1/2 eps (*.f64 x 1)))
(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 (fma.f64 1/2 eps (*.f64 x 1)))
(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 (fma.f64 1/2 eps (*.f64 x 1)))
(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 (fma.f64 1/2 eps (*.f64 x 1)))
(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 (fma.f64 1/2 eps (*.f64 x 1)))
(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 (fma.f64 1/2 eps (*.f64 x 1)))
(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 (fma.f64 1/2 eps (*.f64 x 1)))
(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 (fma.f64 1/2 eps (*.f64 x 1)))
(sin.f64 (fma.f64 1/2 eps x))
(*.f64 1/2 (*.f64 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 (*.f64 eps eps) (*.f64 (cos.f64 x) 1/4)))
(fma.f64 eps (*.f64 1/2 (sin.f64 x)) (*.f64 (*.f64 eps (cos.f64 x)) (*.f64 eps 1/4)))
(*.f64 eps (+.f64 (*.f64 1/2 (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 eps 1/4))))
(+.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 (sin.f64 x) (*.f64 -1/12 (pow.f64 eps 3)))))
(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 -1/12 (*.f64 eps 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 (cos.f64 x) (*.f64 -1/48 (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 -1/12 (*.f64 eps eps))))) (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/48 (pow.f64 eps 4)) (*.f64 eps (*.f64 eps 1/4)))))
(*.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 (fma.f64 1/2 eps (*.f64 x 1))))
(*.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 (fma.f64 1/2 eps (*.f64 x 1))))
(*.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 (fma.f64 1/2 eps (*.f64 x 1))))
(*.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 (fma.f64 1/2 eps (*.f64 x 1))))
(*.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 (fma.f64 1/2 eps (*.f64 x 1))))
(*.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 (fma.f64 1/2 eps (*.f64 x 1))))
(*.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 (fma.f64 1/2 eps (*.f64 x 1))))
(*.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 (fma.f64 1/2 eps (*.f64 x 1))))
(*.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 (*.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 x x)))
(+.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 (*.f64 x (*.f64 x -1/2)) 1) (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 (*.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 x x))))
(+.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 x (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 -1/2 x))) (*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (cos.f64 (*.f64 1/2 eps)) x (fma.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 -1/6 (pow.f64 x 3)) (sin.f64 (*.f64 1/2 eps))))))
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(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps (*.f64 x 1))))
(*.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 (fma.f64 1/2 eps (*.f64 x 1))))
(*.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 (fma.f64 1/2 eps (*.f64 x 1))))
(*.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 (fma.f64 1/2 eps (*.f64 x 1))))
(*.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 (fma.f64 1/2 eps (*.f64 x 1))))
(*.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 (fma.f64 1/2 eps (*.f64 x 1))))
(*.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 (fma.f64 1/2 eps (*.f64 x 1))))
(*.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 (fma.f64 1/2 eps (*.f64 x 1))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))
eps
(+.f64 (*.f64 2 x) eps)
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(+.f64 (*.f64 2 x) eps)
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(+.f64 (*.f64 2 x) eps)
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(*.f64 2 x)
(*.f64 x 2)
(+.f64 eps (*.f64 2 x))
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(+.f64 eps (*.f64 2 x))
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(+.f64 eps (*.f64 2 x))
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(*.f64 2 x)
(*.f64 x 2)
(+.f64 eps (*.f64 2 x))
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(+.f64 eps (*.f64 2 x))
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(+.f64 eps (*.f64 2 x))
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(*.f64 2 x)
(*.f64 x 2)
(+.f64 eps (*.f64 2 x))
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(+.f64 eps (*.f64 2 x))
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(+.f64 eps (*.f64 2 x))
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
eps
(+.f64 (*.f64 2 x) eps)
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(+.f64 (*.f64 2 x) eps)
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(+.f64 (*.f64 2 x) eps)
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
eps
(+.f64 (*.f64 2 x) eps)
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(+.f64 (*.f64 2 x) eps)
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(+.f64 (*.f64 2 x) eps)
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 eps (neg.f64 (sin.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 (neg.f64 eps) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps eps))) (*.f64 eps (sin.f64 x)))
(fma.f64 (sin.f64 x) (neg.f64 eps) (*.f64 (*.f64 eps (cos.f64 x)) (*.f64 eps -1/2)))
(*.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 (cos.f64 x) (*.f64 eps eps)) (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 eps (*.f64 eps (cos.f64 x))) (fma.f64 (*.f64 -2 (pow.f64 eps 3)) (*.f64 (sin.f64 x) -1/12) (*.f64 (sin.f64 x) (neg.f64 eps))))
(fma.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) 1/6) (fma.f64 (sin.f64 x) (neg.f64 eps) (*.f64 (*.f64 eps (cos.f64 x)) (*.f64 eps -1/2))))
(-.f64 (*.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) 1/6)) (*.f64 eps (fma.f64 1/2 (*.f64 eps (cos.f64 x)) (sin.f64 x))))
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(fma.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)) (fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (fma.f64 -1 (*.f64 eps (sin.f64 x)) (*.f64 -2 (*.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) -1/12))))))
(+.f64 (fma.f64 (*.f64 -2 (pow.f64 eps 3)) (*.f64 (sin.f64 x) -1/12) (*.f64 (sin.f64 x) (neg.f64 eps))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 4) 1/24) (*.f64 -1/2 (*.f64 eps eps)))))
(fma.f64 (cos.f64 x) (fma.f64 (pow.f64 eps 4) 1/24 (*.f64 eps (*.f64 eps -1/2))) (-.f64 (*.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) 1/6)) (*.f64 eps (sin.f64 x))))
(fma.f64 (cos.f64 x) (fma.f64 (pow.f64 eps 4) 1/24 (*.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 (*.f64 -2 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps (*.f64 x 1)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.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 (*.f64 -2 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps (*.f64 x 1)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.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 (*.f64 -2 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps (*.f64 x 1)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.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 (*.f64 -2 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps (*.f64 x 1)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps x))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))))
(*.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps (*.f64 x 1)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps x))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))))
(*.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps (*.f64 x 1)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps x))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))))
(*.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps (*.f64 x 1)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps x))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))))
(*.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps (*.f64 x 1)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps x))))
(*.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 -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 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (cos.f64 (*.f64 1/2 eps)) x (sin.f64 (*.f64 1/2 eps)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (fma.f64 (cos.f64 (*.f64 1/2 eps)) x (sin.f64 (*.f64 1/2 eps))) -2))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (fma.f64 (cos.f64 (*.f64 1/2 eps)) x (sin.f64 (*.f64 1/2 eps)))))
(+.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 1/2 eps)) 2) (fma.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 x x) (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)))))
(+.f64 (*.f64 (*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) -2) (cos.f64 (*.f64 1/2 eps))) x) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (+.f64 -2 (*.f64 x x))))
(fma.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x -2)) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (+.f64 (*.f64 x x) -2)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x -2)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 x x) -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 (*.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 1/2 eps)) 2) (fma.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 x x) (fma.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 (fma.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3)) 1/3))) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (+.f64 -2 (*.f64 x x))))
(fma.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (+.f64 (*.f64 x x) -2) (*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))) (+.f64 (*.f64 x -2) (*.f64 (pow.f64 x 3) 1/3))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 x -2) (*.f64 (pow.f64 x 3) 1/3))) (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 x x) -2))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps (*.f64 x 1)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.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 (*.f64 -2 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps (*.f64 x 1)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.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 (*.f64 -2 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps (*.f64 x 1)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.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 (*.f64 -2 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps (*.f64 x 1)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps x))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps (*.f64 x 1)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps x))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps (*.f64 x 1)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps x))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps (*.f64 x 1)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps x))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps (*.f64 x 1)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps x))))

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓1.1b
(-.f64 (cos.f64 eps) 1)
Compiler

Compiled 10 to 6 computations (40% saved)

series1.0ms (0%)

Counts
1 → 4
Calls

3 calls:

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

rewrite47.0ms (0.2%)

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 exp.f64 (log.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 fma.f64 1 (cos.f64 eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)) -1)))))

simplify100.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

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

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps))))
✓0.4b
(log1p.f64 (cos.f64 (+.f64 x eps)))
2.0b
(cos.f64 (+.f64 x eps))
✓19.1b
(-.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
Compiler

Compiled 33 to 8 computations (75.8% saved)

series187.0ms (0.9%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
81.0ms
eps
@-inf
(log1p.f64 (cos.f64 (+.f64 x eps)))
48.0ms
eps
@inf
(log1p.f64 (cos.f64 (+.f64 x eps)))
26.0ms
x
@inf
(log1p.f64 (cos.f64 (+.f64 x eps)))
23.0ms
x
@-inf
(log1p.f64 (cos.f64 (+.f64 x eps)))
2.0ms
x
@0
(log1p.f64 (cos.f64 (+.f64 x eps)))

rewrite86.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0925
118425
2271125
Stop Event
1×node limit
Counts
3 → 210
Calls
Call 1
Inputs
(-.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(log1p.f64 (cos.f64 (+.f64 x eps)))
(expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 x eps)) (*.f64 (neg.f64 (cos.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2) (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 1 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (sin.f64 (/.f64 (-.f64 (+.f64 x eps) x) 2)) (sin.f64 (/.f64 (+.f64 (+.f64 x eps) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 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simplify128.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
672×fma-def_binary64
661×associate-*r*_binary64
624×associate-*l*_binary64
274×unsub-neg_binary64
247×times-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01361225
14131129
213771051
374721045
Stop Event
1×node limit
Counts
282 → 266
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))
(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)))))
(cos.f64 eps)
(+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 -1 (*.f64 x (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 -1 (*.f64 x (sin.f64 eps))))))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 (-.f64 eps (*.f64 -1 x)))
(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
(cos.f64 (-.f64 x (*.f64 -1 eps)))
Outputs
(-.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 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 -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 (fma.f64 (fma.f64 (cos.f64 eps) -1/2 1/2) (*.f64 x x) (*.f64 (sin.f64 eps) (neg.f64 x))) (+.f64 (cos.f64 eps) -1))
(+.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (-.f64 (*.f64 x (fma.f64 (cos.f64 eps) -1/2 1/2)) (sin.f64 eps))))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 -1 (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (pow.f64 x 2))))) 1)
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (fma.f64 -1 (*.f64 x (sin.f64 eps)) (*.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (*.f64 x x)))) 1))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))) (-.f64 (*.f64 x (*.f64 x (fma.f64 (cos.f64 eps) -1/2 1/2))) 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 (sin.f64 x) (neg.f64 eps))
(*.f64 eps (neg.f64 (sin.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 (neg.f64 eps) (sin.f64 x)))
(fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 (sin.f64 x) (neg.f64 eps)))
(fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 eps (neg.f64 (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 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 (sin.f64 x) (neg.f64 eps))))
(fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 (sin.f64 x) (+.f64 (neg.f64 eps) (*.f64 1/6 (pow.f64 eps 3)))))
(fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.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 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 (sin.f64 x) (neg.f64 eps)))))
(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 (neg.f64 eps) (*.f64 1/6 (pow.f64 eps 3))))))
(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)) 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))
(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 (*.f64 (neg.f64 x) (sin.f64 eps)) (+.f64 (cos.f64 eps) 1)))
(-.f64 (log1p.f64 (cos.f64 eps)) (*.f64 (tan.f64 (/.f64 eps 2)) x))
(-.f64 (log1p.f64 (cos.f64 eps)) (*.f64 x (tan.f64 (/.f64 eps 2))))
(+.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 x x) (*.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 (log.f64 (+.f64 (cos.f64 eps) 1)) (/.f64 (*.f64 (neg.f64 x) (sin.f64 eps)) (+.f64 (cos.f64 eps) 1))))
(-.f64 (fma.f64 (*.f64 -1/2 (+.f64 (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1)) (*.f64 (tan.f64 (/.f64 eps 2)) (tan.f64 (/.f64 eps 2))))) (*.f64 x x) (log1p.f64 (cos.f64 eps))) (*.f64 (tan.f64 (/.f64 eps 2)) x))
(fma.f64 (*.f64 x x) (*.f64 -1/2 (fma.f64 (tan.f64 (/.f64 eps 2)) (tan.f64 (/.f64 eps 2)) (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1)))) (-.f64 (log1p.f64 (cos.f64 eps)) (*.f64 x (tan.f64 (/.f64 eps 2)))))
(+.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 x x) (*.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 (log.f64 (+.f64 (cos.f64 eps) 1)) (fma.f64 -1 (/.f64 (sin.f64 eps) (/.f64 (+.f64 (cos.f64 eps) 1) x)) (*.f64 1/6 (*.f64 (pow.f64 x 3) (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 (*.f64 -2 (pow.f64 (sin.f64 eps) 3)) (pow.f64 (+.f64 (cos.f64 eps) 1) 3)))))))))
(+.f64 (-.f64 (fma.f64 (*.f64 -1/2 (+.f64 (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1)) (*.f64 (tan.f64 (/.f64 eps 2)) (tan.f64 (/.f64 eps 2))))) (*.f64 x x) (log1p.f64 (cos.f64 eps))) (*.f64 (tan.f64 (/.f64 eps 2)) x)) (*.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)))) (*.f64 1/6 (pow.f64 x 3))))
(fma.f64 (*.f64 x x) (*.f64 -1/2 (fma.f64 (tan.f64 (/.f64 eps 2)) (tan.f64 (/.f64 eps 2)) (/.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1)))) (fma.f64 (pow.f64 x 3) (fma.f64 1/6 (fma.f64 -3 (/.f64 (*.f64 (cos.f64 eps) (tan.f64 (/.f64 eps 2))) (+.f64 (cos.f64 eps) 1)) (tan.f64 (/.f64 eps 2))) (*.f64 (pow.f64 (tan.f64 (/.f64 eps 2)) 3) -1/3)) (-.f64 (log1p.f64 (cos.f64 eps)) (*.f64 x (tan.f64 (/.f64 eps 2))))))
(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) (*.f64 -1 (+.f64 (/.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) (/.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 (log1p.f64 (cos.f64 x)) (*.f64 (/.f64 eps (+.f64 1 (cos.f64 x))) (sin.f64 x))) (*.f64 (-.f64 (/.f64 (neg.f64 (cos.f64 x)) (+.f64 1 (cos.f64 x))) (*.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2)))) (*.f64 1/2 (*.f64 eps eps))))
(-.f64 (fma.f64 (*.f64 eps (*.f64 eps -1/2)) (fma.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2)) (/.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))) (log1p.f64 (cos.f64 x))) (*.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) (*.f64 -1 (+.f64 (/.f64 (cos.f64 x) (+.f64 1 (cos.f64 x))) (/.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 (-.f64 (/.f64 (neg.f64 (cos.f64 x)) (+.f64 1 (cos.f64 x))) (*.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2)))) (*.f64 1/2 (*.f64 eps eps))) (*.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 (fma.f64 -2 (pow.f64 (tan.f64 (/.f64 x 2)) 3) (fma.f64 -3 (/.f64 (*.f64 (tan.f64 (/.f64 x 2)) (cos.f64 x)) (+.f64 1 (cos.f64 x))) (tan.f64 (/.f64 x 2)))) (*.f64 1/6 (pow.f64 eps 3)) (fma.f64 (*.f64 eps (*.f64 eps -1/2)) (fma.f64 (tan.f64 (/.f64 x 2)) (tan.f64 (/.f64 x 2)) (/.f64 (cos.f64 x) (+.f64 1 (cos.f64 x)))) (log1p.f64 (cos.f64 x)))) (*.f64 (tan.f64 (/.f64 x 2)) eps))
(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)))
(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 (cos.f64 eps) (-.f64 (*.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 x x))) (*.f64 x (sin.f64 eps))))
(+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 (cos.f64 eps) (*.f64 -1/2 x)) (sin.f64 eps))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 eps))) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))) (*.f64 -1 (*.f64 x (sin.f64 eps))))))
(+.f64 (cos.f64 eps) (fma.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (fma.f64 -1/2 (*.f64 (cos.f64 eps) (*.f64 x x)) (*.f64 (neg.f64 x) (sin.f64 eps)))))
(+.f64 (cos.f64 eps) (+.f64 (*.f64 (cos.f64 eps) (*.f64 -1/2 (*.f64 x x))) (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x)))))
(+.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) 1) (cos.f64 eps)) (*.f64 (sin.f64 eps) (fma.f64 1/6 (pow.f64 x 3) (neg.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 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)))
(fma.f64 (neg.f64 eps) (sin.f64 x) (cos.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 (neg.f64 eps) (*.f64 1/6 (pow.f64 eps 3)))))
(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)) 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))

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
✓0.2b
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
0.7b
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
2.0b
(cos.f64 (+.f64 x eps))
Compiler

Compiled 39 to 10 computations (74.4% saved)

series51.0ms (0.2%)

Counts
2 → 40
Calls

12 calls:

TimeVariablePointExpression
33.0ms
eps
@inf
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
4.0ms
x
@0
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
3.0ms
eps
@0
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
2.0ms
x
@inf
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
2.0ms
eps
@-inf
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)

rewrite102.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
515×log-prod_binary64
488×fma-def_binary64
331×pow-prod-down_binary64
306×pow2_binary64
244×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01024
124024
2322924
Stop Event
1×node limit
Counts
2 → 165
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
(cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 x eps)) (*.f64 (neg.f64 (cos.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) 2))) (/.f64 (pow.f64 (cos.f64 x) 3) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (/.f64 (pow.f64 (cos.f64 x) 2) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2) (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 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simplify88.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
730×fma-def_binary64
599×distribute-lft-in_binary64
599×distribute-rgt-in_binary64
457×*-commutative_binary64
428×distribute-rgt-neg-out_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01332063
14181976
215151925
367391923
Stop Event
1×node limit
Counts
205 → 189
Calls
Call 1
Inputs
(*.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 eps) 1))
(+.f64 (*.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 eps) 1)) (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 4)) 1/9) (sin.f64 eps))) (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 4)) 1/9) (sin.f64 eps)))) x))
(+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/9) (pow.f64 (sin.f64 eps) 2)))))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/9) (pow.f64 (sin.f64 eps) 2))) (*.f64 (pow.f64 (*.f64 1 (-.f64 (cos.f64 eps) 1)) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/3) (-.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/9) (pow.f64 (sin.f64 eps) 2)))))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 4)) 1/9) (pow.f64 (sin.f64 eps) 2))))))) (pow.f64 x 2)) (+.f64 (*.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 eps) 1)) (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 4)) 1/9) (sin.f64 eps))) (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 4)) 1/9) (sin.f64 eps)))) x)))
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 2)) 1/3) (pow.f64 (sin.f64 eps) 3))) (+.f64 (*.f64 -1/6 (sin.f64 eps)) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 5)) 1/9) (*.f64 (-.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/9) (pow.f64 (sin.f64 eps) 2)))) (sin.f64 eps)))))) (pow.f64 1 1/3))) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 5)) 1/9) (*.f64 (-.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/9) (pow.f64 (sin.f64 eps) 2)))) (sin.f64 eps)))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 2)) 1/9) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/3) (-.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/9) (pow.f64 (sin.f64 eps) 2)))))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 4)) 1/9) (pow.f64 (sin.f64 eps) 2)))) (sin.f64 eps)))) (*.f64 (pow.f64 (*.f64 1 (-.f64 (cos.f64 eps) 1)) 1/3) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 8)) 1/9) (*.f64 (-.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/9) (pow.f64 (sin.f64 eps) 2)))) (sin.f64 eps)))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/3) (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 2)) 1/3) (pow.f64 (sin.f64 eps) 3))) (+.f64 (*.f64 -1/6 (sin.f64 eps)) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 5)) 1/9) (*.f64 (-.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/9) (pow.f64 (sin.f64 eps) 2)))) (sin.f64 eps))))))))))))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/9) (pow.f64 (sin.f64 eps) 2)))))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/9) (pow.f64 (sin.f64 eps) 2))) (*.f64 (pow.f64 (*.f64 1 (-.f64 (cos.f64 eps) 1)) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/3) (-.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/9) (pow.f64 (sin.f64 eps) 2)))))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 4)) 1/9) (pow.f64 (sin.f64 eps) 2))))))) (pow.f64 x 2)) (+.f64 (*.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 eps) 1)) (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 4)) 1/9) (sin.f64 eps))) (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 4)) 1/9) (sin.f64 eps)))) x))))
(*.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(*.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(*.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(*.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(*.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)))
(*.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)))
(*.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)))
(*.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)))
(*.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(*.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(*.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(*.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(*.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)))
(*.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)))
(*.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)))
(*.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)))
(pow.f64 (-.f64 (cos.f64 eps) 1) 1/3)
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 2)) 1/9) (*.f64 (sin.f64 eps) x))) (pow.f64 (-.f64 (cos.f64 eps) 1) 1/3))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 2)) 1/9) (*.f64 (sin.f64 eps) x))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 2)) 1/3) (*.f64 (-.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/9) (pow.f64 (sin.f64 eps) 2)))) (pow.f64 x 2)))) (pow.f64 (-.f64 (cos.f64 eps) 1) 1/3)))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 2)) 1/9) (*.f64 (sin.f64 eps) x))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 2)) 1/3) (*.f64 (-.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/9) (pow.f64 (sin.f64 eps) 2)))) (pow.f64 x 2)))) (+.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 1/3) (*.f64 -1/3 (*.f64 (*.f64 (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 2)) 1/3) (pow.f64 (sin.f64 eps) 3))) (+.f64 (*.f64 -1/6 (sin.f64 eps)) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 5)) 1/9) (*.f64 (-.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/9) (pow.f64 (sin.f64 eps) 2)))) (sin.f64 eps)))))) (pow.f64 x 3)) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 2)) 1/3))))))
(pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 1/3)
(pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 1/3)
(pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 1/3)
(pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 1/3)
(pow.f64 (-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)) 1/3)
(pow.f64 (-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)) 1/3)
(pow.f64 (-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)) 1/3)
(pow.f64 (-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)) 1/3)
(pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 1/3)
(pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 1/3)
(pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 1/3)
(pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 1/3)
(pow.f64 (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)) 1/3)
(pow.f64 (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)) 1/3)
(pow.f64 (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)) 1/3)
(pow.f64 (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)) 1/3)
Outputs
(*.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 eps) 1))
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(+.f64 (*.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 eps) 1)) (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 4)) 1/9) (sin.f64 eps))) (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 4)) 1/9) (sin.f64 eps)))) x))
(+.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 4) 1/18) (pow.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 4) 1/18)) (sin.f64 eps)) -1) x))
(fma.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 4) 1/18) (pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 4) 1/18)) (*.f64 (sin.f64 eps) -1)) x (+.f64 (cos.f64 eps) -1))
(fma.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 4) 1/18) (pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 4) 1/18)) (sin.f64 eps)) (neg.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 4) 1/18) (pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 4) 1/18)) (sin.f64 eps)) x))
(+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/9) (pow.f64 (sin.f64 eps) 2)))))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/9) (pow.f64 (sin.f64 eps) 2))) (*.f64 (pow.f64 (*.f64 1 (-.f64 (cos.f64 eps) 1)) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/3) (-.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/9) (pow.f64 (sin.f64 eps) 2)))))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 4)) 1/9) (pow.f64 (sin.f64 eps) 2))))))) (pow.f64 x 2)) (+.f64 (*.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 eps) 1)) (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 4)) 1/9) (sin.f64 eps))) (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 4)) 1/9) (sin.f64 eps)))) x)))
(fma.f64 (+.f64 (*.f64 1/3 (+.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/18) (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/18)) (pow.f64 (sin.f64 eps) 2))))) (fma.f64 2/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/18) (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/18)) (pow.f64 (sin.f64 eps) 2)) (*.f64 (cbrt.f64 (-.f64 (cos.f64 eps) 1)) (fma.f64 2/3 (*.f64 (+.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/18) (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/18)) (pow.f64 (sin.f64 eps) 2)))) (cbrt.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)))) (*.f64 1/9 (*.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 4)) 1/18)))))))) (*.f64 x x) (+.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 4) 1/18) (pow.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 4) 1/18)) (sin.f64 eps)) -1) x)))
(fma.f64 (fma.f64 1/3 (+.f64 1/2 (fma.f64 (cos.f64 eps) -1/2 (*.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18) (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18))) (pow.f64 (sin.f64 eps) 2)))) (fma.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (fma.f64 1/9 (*.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 4)) 1/18))) (*.f64 (+.f64 1/2 (fma.f64 (cos.f64 eps) -1/2 (*.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18) (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18))) (pow.f64 (sin.f64 eps) 2)))) (*.f64 2/3 (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)))))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18) (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18)) (*.f64 (pow.f64 (sin.f64 eps) 2) 2/9)))) (*.f64 x x) (fma.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 4) 1/18) (pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 4) 1/18)) (*.f64 (sin.f64 eps) -1)) x (+.f64 (cos.f64 eps) -1)))
(-.f64 (fma.f64 (fma.f64 1/3 (fma.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18) (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18))) (fma.f64 (cos.f64 eps) -1/2 1/2)) (fma.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (fma.f64 1/9 (*.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 4)) 1/18))) (*.f64 (fma.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18) (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18))) (fma.f64 (cos.f64 eps) -1/2 1/2)) (*.f64 2/3 (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)))))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18) (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18)) (*.f64 (pow.f64 (sin.f64 eps) 2) 2/9)))) (*.f64 x x) (cos.f64 eps)) (+.f64 1 (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 4) 1/18) (pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 4) 1/18)) (sin.f64 eps)) x)))
(+.f64 (cos.f64 eps) (+.f64 -1 (*.f64 x (-.f64 (*.f64 x (fma.f64 1/3 (fma.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18) (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18))) (fma.f64 (cos.f64 eps) -1/2 1/2)) (fma.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (fma.f64 1/9 (*.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 4)) 1/18))) (*.f64 (fma.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18) (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18))) (fma.f64 (cos.f64 eps) -1/2 1/2)) (*.f64 2/3 (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)))))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18) (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18)) (*.f64 (pow.f64 (sin.f64 eps) 2) 2/9))))) (*.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 4) 1/18) (pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 4) 1/18)) (sin.f64 eps))))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 2)) 1/3) (pow.f64 (sin.f64 eps) 3))) (+.f64 (*.f64 -1/6 (sin.f64 eps)) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 5)) 1/9) (*.f64 (-.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/9) (pow.f64 (sin.f64 eps) 2)))) (sin.f64 eps)))))) (pow.f64 1 1/3))) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 5)) 1/9) (*.f64 (-.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/9) (pow.f64 (sin.f64 eps) 2)))) (sin.f64 eps)))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 2)) 1/9) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/3) (-.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/9) (pow.f64 (sin.f64 eps) 2)))))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 4)) 1/9) (pow.f64 (sin.f64 eps) 2)))) (sin.f64 eps)))) (*.f64 (pow.f64 (*.f64 1 (-.f64 (cos.f64 eps) 1)) 1/3) (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 8)) 1/9) (*.f64 (-.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/9) (pow.f64 (sin.f64 eps) 2)))) (sin.f64 eps)))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/3) (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 2)) 1/3) (pow.f64 (sin.f64 eps) 3))) (+.f64 (*.f64 -1/6 (sin.f64 eps)) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 5)) 1/9) (*.f64 (-.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/9) (pow.f64 (sin.f64 eps) 2)))) (sin.f64 eps))))))))))))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/9) (pow.f64 (sin.f64 eps) 2)))))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/9) (pow.f64 (sin.f64 eps) 2))) (*.f64 (pow.f64 (*.f64 1 (-.f64 (cos.f64 eps) 1)) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/3) (-.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/9) (pow.f64 (sin.f64 eps) 2)))))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 4)) 1/9) (pow.f64 (sin.f64 eps) 2))))))) (pow.f64 x 2)) (+.f64 (*.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 eps) 1)) (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 4)) 1/9) (sin.f64 eps))) (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 4)) 1/9) (sin.f64 eps)))) x))))
(fma.f64 (fma.f64 -1/3 (*.f64 1 (fma.f64 -1/27 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 2))) (pow.f64 (sin.f64 eps) 3)) (fma.f64 -1/6 (sin.f64 eps) (*.f64 -2/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 5)) 1/18)) (*.f64 (sin.f64 eps) (+.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/18) (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/18)) (pow.f64 (sin.f64 eps) 2)))))))))) (fma.f64 -2/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 5)) 1/18)) (*.f64 (sin.f64 eps) (+.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/18) (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/18)) (pow.f64 (sin.f64 eps) 2)))))) (fma.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 2)) 1/18)) (*.f64 (sin.f64 eps) (fma.f64 2/3 (*.f64 (+.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/18) (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/18)) (pow.f64 (sin.f64 eps) 2)))) (cbrt.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)))) (*.f64 1/9 (*.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 4)) 1/18))))))) (*.f64 (cbrt.f64 (-.f64 (cos.f64 eps) 1)) (fma.f64 -2/9 (*.f64 (*.f64 (sin.f64 eps) (+.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/18) (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/18)) (pow.f64 (sin.f64 eps) 2))))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 8)) 1/18))) (*.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1))) (fma.f64 -1/27 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 2))) (pow.f64 (sin.f64 eps) 3)) (fma.f64 -1/6 (sin.f64 eps) (*.f64 -2/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 5)) 1/18)) (*.f64 (sin.f64 eps) (+.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/18) (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/18)) (pow.f64 (sin.f64 eps) 2)))))))))))))))) (pow.f64 x 3) (fma.f64 (+.f64 (*.f64 1/3 (+.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/18) (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/18)) (pow.f64 (sin.f64 eps) 2))))) (fma.f64 2/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/18) (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/18)) (pow.f64 (sin.f64 eps) 2)) (*.f64 (cbrt.f64 (-.f64 (cos.f64 eps) 1)) (fma.f64 2/3 (*.f64 (+.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/18) (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/18)) (pow.f64 (sin.f64 eps) 2)))) (cbrt.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)))) (*.f64 1/9 (*.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 4)) 1/18)))))))) (*.f64 x x) (+.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 4) 1/18) (pow.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 4) 1/18)) (sin.f64 eps)) -1) x))))
(fma.f64 (fma.f64 -1/3 (fma.f64 -1/27 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) (pow.f64 (sin.f64 eps) 3)) (fma.f64 (sin.f64 eps) -1/6 (*.f64 (*.f64 (sin.f64 eps) (+.f64 1/2 (fma.f64 (cos.f64 eps) -1/2 (*.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18) (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18))) (pow.f64 (sin.f64 eps) 2))))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 5)) 1/18)))))) (fma.f64 (*.f64 (sin.f64 eps) (*.f64 (+.f64 1/2 (fma.f64 (cos.f64 eps) -1/2 (*.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18) (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18))) (pow.f64 (sin.f64 eps) 2)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 5)) 1/18)))) -2/9 (fma.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (fma.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1))) (fma.f64 -1/27 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) (pow.f64 (sin.f64 eps) 3)) (fma.f64 (sin.f64 eps) -1/6 (*.f64 (*.f64 (sin.f64 eps) (+.f64 1/2 (fma.f64 (cos.f64 eps) -1/2 (*.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18) (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18))) (pow.f64 (sin.f64 eps) 2))))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 5)) 1/18))))))) (*.f64 (*.f64 (sin.f64 eps) (+.f64 1/2 (fma.f64 (cos.f64 eps) -1/2 (*.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18) (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18))) (pow.f64 (sin.f64 eps) 2))))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 8)) 1/18))))) (*.f64 (*.f64 (sin.f64 eps) (fma.f64 1/9 (*.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 4)) 1/18))) (*.f64 (+.f64 1/2 (fma.f64 (cos.f64 eps) -1/2 (*.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18) (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18))) (pow.f64 (sin.f64 eps) 2)))) (*.f64 2/3 (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1))))))) (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) 1/18))))))) (pow.f64 x 3) (fma.f64 (fma.f64 1/3 (+.f64 1/2 (fma.f64 (cos.f64 eps) -1/2 (*.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18) (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18))) (pow.f64 (sin.f64 eps) 2)))) (fma.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (fma.f64 1/9 (*.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 4)) 1/18))) (*.f64 (+.f64 1/2 (fma.f64 (cos.f64 eps) -1/2 (*.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18) (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18))) (pow.f64 (sin.f64 eps) 2)))) (*.f64 2/3 (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)))))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18) (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18)) (*.f64 (pow.f64 (sin.f64 eps) 2) 2/9)))) (*.f64 x x) (fma.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 4) 1/18) (pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 4) 1/18)) (*.f64 (sin.f64 eps) -1)) x (+.f64 (cos.f64 eps) -1))))
(fma.f64 x (*.f64 x (fma.f64 1/3 (fma.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18) (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18))) (fma.f64 (cos.f64 eps) -1/2 1/2)) (fma.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (fma.f64 1/9 (*.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 4)) 1/18))) (*.f64 (fma.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18) (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18))) (fma.f64 (cos.f64 eps) -1/2 1/2)) (*.f64 2/3 (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)))))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18) (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18)) (*.f64 (pow.f64 (sin.f64 eps) 2) 2/9))))) (fma.f64 (fma.f64 -1/3 (fma.f64 -1/27 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) (pow.f64 (sin.f64 eps) 3)) (*.f64 (sin.f64 eps) (+.f64 (*.f64 (fma.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18) (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18))) (fma.f64 (cos.f64 eps) -1/2 1/2)) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 5)) 1/18)))) -1/6))) (fma.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (fma.f64 (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1))) (*.f64 -2/3 (fma.f64 -1/27 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) (pow.f64 (sin.f64 eps) 3)) (*.f64 (sin.f64 eps) (+.f64 (*.f64 (fma.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18) (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18))) (fma.f64 (cos.f64 eps) -1/2 1/2)) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 5)) 1/18)))) -1/6)))) (*.f64 (sin.f64 eps) (*.f64 -2/9 (*.f64 (fma.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18) (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18))) (fma.f64 (cos.f64 eps) -1/2 1/2)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 8)) 1/18)))))) (*.f64 (sin.f64 eps) (+.f64 (*.f64 -2/9 (*.f64 (fma.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18) (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18))) (fma.f64 (cos.f64 eps) -1/2 1/2)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 5)) 1/18)))) (*.f64 -1/3 (*.f64 (fma.f64 1/9 (*.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 4)) 1/18))) (*.f64 (fma.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18) (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18))) (fma.f64 (cos.f64 eps) -1/2 1/2)) (*.f64 2/3 (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)))))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) 1/18)))))))) (pow.f64 x 3) (fma.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 4) 1/18) (pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 4) 1/18)) (sin.f64 eps)) (neg.f64 x) (+.f64 (cos.f64 eps) -1))))
(fma.f64 (fma.f64 -1/3 (fma.f64 -1/27 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) (pow.f64 (sin.f64 eps) 3)) (*.f64 (sin.f64 eps) (+.f64 (*.f64 (fma.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18) (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18))) (fma.f64 (cos.f64 eps) -1/2 1/2)) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 5)) 1/18)))) -1/6))) (fma.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (fma.f64 (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1))) (*.f64 -2/3 (fma.f64 -1/27 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) (pow.f64 (sin.f64 eps) 3)) (*.f64 (sin.f64 eps) (+.f64 (*.f64 (fma.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18) (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18))) (fma.f64 (cos.f64 eps) -1/2 1/2)) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 5)) 1/18)))) -1/6)))) (*.f64 (sin.f64 eps) (*.f64 -2/9 (*.f64 (fma.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18) (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18))) (fma.f64 (cos.f64 eps) -1/2 1/2)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 8)) 1/18)))))) (*.f64 (sin.f64 eps) (+.f64 (*.f64 -2/9 (*.f64 (fma.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18) (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18))) (fma.f64 (cos.f64 eps) -1/2 1/2)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 5)) 1/18)))) (*.f64 -1/3 (*.f64 (fma.f64 1/9 (*.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 4)) 1/18))) (*.f64 (fma.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18) (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18))) (fma.f64 (cos.f64 eps) -1/2 1/2)) (*.f64 2/3 (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)))))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) 1/18)))))))) (pow.f64 x 3) (+.f64 (cos.f64 eps) (+.f64 -1 (*.f64 x (-.f64 (*.f64 x (fma.f64 1/3 (fma.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18) (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18))) (fma.f64 (cos.f64 eps) -1/2 1/2)) (fma.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (fma.f64 1/9 (*.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 4)) 1/18))) (*.f64 (fma.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18) (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18))) (fma.f64 (cos.f64 eps) -1/2 1/2)) (*.f64 2/3 (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)))))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18) (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18)) (*.f64 (pow.f64 (sin.f64 eps) 2) 2/9))))) (*.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 4) 1/18) (pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 4) 1/18)) (sin.f64 eps)))))))
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(*.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
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(*.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
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(*.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
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(*.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
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(*.f64 (pow.f64 1 1/3) (-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)))
(*.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
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(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
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(*.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
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(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
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(*.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
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(*.f64 1 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
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(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(pow.f64 (-.f64 (cos.f64 eps) 1) 1/3)
(cbrt.f64 (-.f64 (cos.f64 eps) 1))
(cbrt.f64 (+.f64 (cos.f64 eps) -1))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 2)) 1/9) (*.f64 (sin.f64 eps) x))) (pow.f64 (-.f64 (cos.f64 eps) 1) 1/3))
(fma.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 2)) 1/18)) (*.f64 (sin.f64 eps) x)) (cbrt.f64 (-.f64 (cos.f64 eps) 1)))
(fma.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) 1/18) (*.f64 (sin.f64 eps) x))) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))
(fma.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) 1/18) (*.f64 (sin.f64 eps) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) 1/18))) (*.f64 -1/3 x) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 2)) 1/9) (*.f64 (sin.f64 eps) x))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 2)) 1/3) (*.f64 (-.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/9) (pow.f64 (sin.f64 eps) 2)))) (pow.f64 x 2)))) (pow.f64 (-.f64 (cos.f64 eps) 1) 1/3)))
(fma.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 2)) 1/18)) (*.f64 (sin.f64 eps) x)) (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 2))) (*.f64 (+.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/18) (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/18)) (pow.f64 (sin.f64 eps) 2)))) (*.f64 x x))) (cbrt.f64 (-.f64 (cos.f64 eps) 1))))
(fma.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) 1/18) (*.f64 (sin.f64 eps) x))) (fma.f64 1/3 (*.f64 (+.f64 1/2 (fma.f64 (cos.f64 eps) -1/2 (*.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18) (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18))) (pow.f64 (sin.f64 eps) 2)))) (*.f64 (*.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))))) (cbrt.f64 (+.f64 (cos.f64 eps) -1))))
(fma.f64 1/3 (*.f64 (fma.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18) (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18))) (fma.f64 (cos.f64 eps) -1/2 1/2)) (*.f64 (*.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))))) (fma.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) 1/18) (*.f64 (sin.f64 eps) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) 1/18))) (*.f64 -1/3 x) (cbrt.f64 (+.f64 (cos.f64 eps) -1))))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 2)) 1/9) (*.f64 (sin.f64 eps) x))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 2)) 1/3) (*.f64 (-.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/9) (pow.f64 (sin.f64 eps) 2)))) (pow.f64 x 2)))) (+.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 1/3) (*.f64 -1/3 (*.f64 (*.f64 (+.f64 (*.f64 -1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 2)) 1/3) (pow.f64 (sin.f64 eps) 3))) (+.f64 (*.f64 -1/6 (sin.f64 eps)) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 5)) 1/9) (*.f64 (-.f64 (+.f64 1/2 (*.f64 -1/2 (cos.f64 eps))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/9) (pow.f64 (sin.f64 eps) 2)))) (sin.f64 eps)))))) (pow.f64 x 3)) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 2)) 1/3))))))
(fma.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 2)) 1/18)) (*.f64 (sin.f64 eps) x)) (+.f64 (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 2))) (*.f64 (+.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/18) (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/18)) (pow.f64 (sin.f64 eps) 2)))) (*.f64 x x))) (cbrt.f64 (-.f64 (cos.f64 eps) 1))) (*.f64 -1/3 (*.f64 (fma.f64 -1/27 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 2))) (pow.f64 (sin.f64 eps) 3)) (fma.f64 -1/6 (sin.f64 eps) (*.f64 -2/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 5)) 1/18)) (*.f64 (sin.f64 eps) (+.f64 (+.f64 1/2 (*.f64 (cos.f64 eps) -1/2)) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/18) (pow.f64 (/.f64 1 (-.f64 (cos.f64 eps) 1)) 1/18)) (pow.f64 (sin.f64 eps) 2))))))))) (*.f64 (pow.f64 x 3) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (cos.f64 eps) 1) 2))))))))
(fma.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) 1/18) (*.f64 (sin.f64 eps) x))) (fma.f64 1/3 (*.f64 (+.f64 1/2 (fma.f64 (cos.f64 eps) -1/2 (*.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18) (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18))) (pow.f64 (sin.f64 eps) 2)))) (*.f64 (*.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))))) (fma.f64 -1/3 (*.f64 (fma.f64 -1/27 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) (pow.f64 (sin.f64 eps) 3)) (fma.f64 (sin.f64 eps) -1/6 (*.f64 (*.f64 (sin.f64 eps) (+.f64 1/2 (fma.f64 (cos.f64 eps) -1/2 (*.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18) (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18))) (pow.f64 (sin.f64 eps) 2))))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 5)) 1/18)))))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) (pow.f64 x 3))) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))))
(+.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) 1/18) (*.f64 (sin.f64 eps) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) 1/18))) (*.f64 -1/3 x) (cbrt.f64 (+.f64 (cos.f64 eps) -1))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) (+.f64 (*.f64 -1/3 (*.f64 (fma.f64 -1/27 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) (pow.f64 (sin.f64 eps) 3)) (*.f64 (sin.f64 eps) (+.f64 (*.f64 (fma.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18) (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18))) (fma.f64 (cos.f64 eps) -1/2 1/2)) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 5)) 1/18)))) -1/6))) (pow.f64 x 3))) (*.f64 1/3 (*.f64 x (*.f64 x (fma.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18) (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1/18))) (fma.f64 (cos.f64 eps) -1/2 1/2))))))))
(pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 1/3)
(cbrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 1/3)
(cbrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 1/3)
(cbrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 1/3)
(cbrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(pow.f64 (-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)) 1/3)
(cbrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(pow.f64 (-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)) 1/3)
(cbrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(pow.f64 (-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)) 1/3)
(cbrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(pow.f64 (-.f64 (cos.f64 (-.f64 eps (*.f64 -1 x))) (cos.f64 x)) 1/3)
(cbrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 1/3)
(cbrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 1/3)
(cbrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 1/3)
(cbrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 1/3)
(cbrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(pow.f64 (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)) 1/3)
(cbrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(pow.f64 (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)) 1/3)
(cbrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(pow.f64 (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)) 1/3)
(cbrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(pow.f64 (-.f64 (cos.f64 (-.f64 x (*.f64 -1 eps))) (cos.f64 x)) 1/3)
(cbrt.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))

localize92.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(sin.f64 eps)
✓0.1b
(-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))
✓0.2b
(*.f64 (sin.f64 x) (sin.f64 eps))
✓1.7b
(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)

series13.0ms (0.1%)

Counts
4 → 60
Calls

21 calls:

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

rewrite114.0ms (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
01251
125941
2371341
Stop Event
1×node limit
Counts
4 → 206
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)))
(sin.f64 eps)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 1) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 eps))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 eps)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 eps))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 eps))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 eps)) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (cbrt.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 eps) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 eps) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 eps)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 eps)))))))

simplify75.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
670×fma-def_binary64
453×associate-+l+_binary64
451×*-commutative_binary64
436×distribute-rgt-neg-in_binary64
380×fma-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01021146
12951033
2833972
32896960
46076960
Stop Event
1×node limit
Counts
266 → 261
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)))
eps
(+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))
(+.f64 eps (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 1/120 (pow.f64 eps 5))))
(+.f64 eps (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (+.f64 (*.f64 1/120 (pow.f64 eps 5)) (*.f64 -1/5040 (pow.f64 eps 7)))))
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 -1 (+.f64 (cos.f64 eps) (-.f64 (*.f64 x (*.f64 x (fma.f64 (cos.f64 eps) -1/2 1/2))) (*.f64 x (sin.f64 eps)))))
(+.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 (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 (sin.f64 eps) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (neg.f64 x))) (-.f64 (*.f64 x (*.f64 x (fma.f64 (cos.f64 eps) -1/2 1/2))) 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 (fma.f64 (fma.f64 (cos.f64 eps) -1/2 1/2) (*.f64 x x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (fma.f64 1/6 (pow.f64 x 3) (neg.f64 x)) -1))
(+.f64 (fma.f64 (fma.f64 (cos.f64 eps) -1/2 1/2) (*.f64 x x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (neg.f64 (fma.f64 (pow.f64 x 3) -1/6 x)) -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 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 eps (neg.f64 (sin.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 -1 (*.f64 eps (sin.f64 x))))
(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 (*.f64 eps (cos.f64 x)) -1/2)) (*.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)))))
(fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (-.f64 (*.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 (neg.f64 eps) (*.f64 1/6 (pow.f64 eps 3)))))
(-.f64 (*.f64 eps (*.f64 (cos.f64 x) (*.f64 eps -1/2))) (*.f64 (sin.f64 x) (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)) (fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (-.f64 (*.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 (neg.f64 eps) (*.f64 1/6 (pow.f64 eps 3))))))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 eps (*.f64 eps -1/2)))) (*.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 x (fma.f64 1/120 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/6))))
(*.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) (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) (fma.f64 (pow.f64 eps 3) -1/6 (*.f64 1/120 (pow.f64 eps 5)))))
(*.f64 (sin.f64 x) (fma.f64 (pow.f64 eps 3) -1/6 (fma.f64 1/120 (pow.f64 eps 5) 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) (fma.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 eps) (fma.f64 1/120 (pow.f64 eps 5) (*.f64 -1/5040 (pow.f64 eps 7)))))
(*.f64 (sin.f64 x) (+.f64 eps (fma.f64 (pow.f64 eps 3) -1/6 (fma.f64 1/120 (pow.f64 eps 5) (*.f64 -1/5040 (pow.f64 eps 7))))))
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 -1/2 (*.f64 x x))))
(fma.f64 x (sin.f64 eps) (fma.f64 -1/2 (*.f64 x x) 1))
(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 -1/2 (*.f64 x x))) (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 -1/2 (*.f64 x x) 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) (fma.f64 (pow.f64 eps 3) -1/6 eps)))
(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) (fma.f64 (pow.f64 eps 3) -1/6 (*.f64 1/120 (pow.f64 eps 5))))))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (fma.f64 (pow.f64 eps 3) -1/6 (fma.f64 1/120 (pow.f64 eps 5) 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))
eps
(+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))
(+.f64 eps (*.f64 (pow.f64 eps 3) -1/6))
(fma.f64 (pow.f64 eps 3) -1/6 eps)
(+.f64 eps (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 1/120 (pow.f64 eps 5))))
(+.f64 eps (fma.f64 -1/6 (pow.f64 eps 3) (*.f64 1/120 (pow.f64 eps 5))))
(+.f64 eps (fma.f64 (pow.f64 eps 3) -1/6 (*.f64 1/120 (pow.f64 eps 5))))
(fma.f64 (pow.f64 eps 3) -1/6 (fma.f64 1/120 (pow.f64 eps 5) eps))
(+.f64 eps (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (+.f64 (*.f64 1/120 (pow.f64 eps 5)) (*.f64 -1/5040 (pow.f64 eps 7)))))
(+.f64 eps (fma.f64 -1/6 (pow.f64 eps 3) (fma.f64 1/120 (pow.f64 eps 5) (*.f64 -1/5040 (pow.f64 eps 7)))))
(+.f64 eps (fma.f64 (pow.f64 eps 3) -1/6 (fma.f64 1/120 (pow.f64 eps 5) (*.f64 -1/5040 (pow.f64 eps 7)))))
(+.f64 (fma.f64 (pow.f64 eps 3) -1/6 eps) (fma.f64 1/120 (pow.f64 eps 5) (*.f64 -1/5040 (pow.f64 eps 7))))

eval1.4s (6.7%)

Compiler

Compiled 28028 to 11647 computations (58.4% saved)

prune458.0ms (2.2%)

Pruning

75 alts after pruning (72 fresh and 3 done)

PrunedKeptTotal
New1247641311
Fresh22830
Picked101
Done235
Total1272751347
Error
0.1b
Counts
1347 → 75
Alt Table
Click to see full alt table
StatusErrorProgram
33.5b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 x)) -2)
56.5b
(-.f64 (cos.f64 x) (cos.f64 x))
27.6b
(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))))))
✓15.0b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2)
33.8b
(*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x -2)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 x x) -2))))
42.2b
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
35.7b
(fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
45.5b
(*.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)
37.2b
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) 3) -2)
42.1b
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
29.9b
(*.f64 (+.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps))))) (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/48 (pow.f64 eps 4)) (*.f64 eps (*.f64 eps 1/4))))) -2)
42.3b
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 eps) 1)) 3)
✓42.8b
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
16.3b
(*.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))))
27.5b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
▶55.8b
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
42.9b
(-.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 (+.f64 x eps)) 1) 2) 1) (+.f64 (+.f64 (cos.f64 (+.f64 x eps)) 1) 1)) (cos.f64 x))
27.8b
(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)))))
43.0b
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (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)))))
29.6b
(*.f64 (*.f64 eps (+.f64 (*.f64 eps (*.f64 (cos.f64 x) 1/4)) (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps)))))) -2)
47.1b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (fabs.f64 (sin.f64 (*.f64 1/2 eps)))) -2)
42.0b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (+.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))))))) -2)
41.5b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))
49.3b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (sqrt.f64 (*.f64 eps eps)) 1/2))) -2)
27.6b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (expm1.f64 (log1p.f64 (sin.f64 eps)))) (neg.f64 (cos.f64 x)))))
27.6b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))))
27.5b
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
43.6b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 (*.f64 eps eps) eps) 1/2))) -2)
54.8b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (pow.f64 (pow.f64 eps 3) 1/3) 1/2))) -2)
45.1b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (/.f64 eps (*.f64 eps eps))) 1/2))) -2)
42.1b
(*.f64 (/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps)))))) -2)
43.8b
(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
43.6b
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
47.3b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (pow.f64 (cbrt.f64 eps) 3) 1/2))) -2)
27.7b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (log.f64 (exp.f64 (sin.f64 eps)))) (neg.f64 (cos.f64 x)))))
▶16.0b
(pow.f64 (cbrt.f64 (*.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))))) 3)
▶55.8b
(sqrt.f64 (*.f64 4 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 2)))
45.8b
(*.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)
42.4b
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 eps) (cos.f64 x))) 3)
▶15.2b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (+.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x eps) 1/2)) (cos.f64 (*.f64 x 1/2))) (*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (sin.f64 (*.f64 x 1/2))))) -2)
46.5b
(-.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (cos.f64 x))
✓42.1b
(-.f64 (cos.f64 eps) 1)
42.2b
(-.f64 (cos.f64 eps) (cos.f64 x))
28.1b
(-.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))
42.2b
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (-.f64 (cos.f64 eps) -1))
27.9b
(pow.f64 (cbrt.f64 (-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))) 3)
37.0b
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)) 3)
27.8b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 3))))
35.0b
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (neg.f64 eps))) 3)
27.5b
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
42.9b
(-.f64 (-.f64 (+.f64 (cos.f64 (+.f64 x eps)) 1) 1) (cos.f64 x))
29.6b
(*.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)
51.3b
(*.f64 (exp.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 1/2 eps))))) -2)
49.6b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps))))) (sqrt.f64 2))) -2)
29.3b
(*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))
49.1b
(-.f64 (pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 2) (cos.f64 x))
36.7b
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)
42.3b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 1))
34.6b
(*.f64 (sin.f64 x) (neg.f64 eps))
40.2b
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3)) -2)
42.2b
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
51.8b
(*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps 1/24) -1/2)))
40.8b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x eps)) 1/2))) -2)
27.7b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sin.f64 eps)) 3)) (neg.f64 (cos.f64 x)))))
27.7b
(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)))))
43.0b
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)) 3)
34.0b
(*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 x -2) (*.f64 (pow.f64 x 3) 1/3))) (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 x x) -2))))
43.1b
(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
27.6b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3)) (neg.f64 (cos.f64 x)))))
56.4b
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2))
56.2b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (exp.f64 (log.f64 eps)) 1/2))) -2)
27.5b
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
48.4b
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
▶51.4b
(*.f64 -1/2 (*.f64 eps eps))
42.6b
(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)))))
Compiler

Compiled 2552 to 1844 computations (27.7% saved)

localize74.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (sin.f64 (*.f64 x 1/2)))
✓0.3b
(*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (+.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x eps) 1/2)) (cos.f64 (*.f64 x 1/2))) (*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (sin.f64 (*.f64 x 1/2)))))
✓2.0b
(cos.f64 (*.f64 (+.f64 x eps) 1/2))
✓2.0b
(sin.f64 (*.f64 (+.f64 x eps) 1/2))
Compiler

Compiled 171 to 97 computations (43.3% saved)

series21.0ms (0.1%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
5.0ms
x
@0
(cos.f64 (*.f64 (+.f64 x eps) 1/2))
2.0ms
eps
@inf
(*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (+.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x eps) 1/2)) (cos.f64 (*.f64 x 1/2))) (*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (sin.f64 (*.f64 x 1/2)))))
2.0ms
eps
@0
(*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (+.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x eps) 1/2)) (cos.f64 (*.f64 x 1/2))) (*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (sin.f64 (*.f64 x 1/2)))))
1.0ms
eps
@-inf
(*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (+.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x eps) 1/2)) (cos.f64 (*.f64 x 1/2))) (*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (sin.f64 (*.f64 x 1/2)))))
1.0ms
x
@-inf
(*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (+.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x eps) 1/2)) (cos.f64 (*.f64 x 1/2))) (*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (sin.f64 (*.f64 x 1/2)))))

rewrite97.0ms (0.5%)

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

Useful iterations: 1 (0.0ms)

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

simplify118.0ms (0.6%)

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)))))
(+.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 x)) eps)) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 eps 2) (sin.f64 (*.f64 1/2 x)))) (+.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 -1/48 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 eps 3))))))
(fma.f64 1/2 (*.f64 eps (cos.f64 (*.f64 1/2 x))) (+.f64 (fma.f64 -1/8 (*.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 eps eps)) (sin.f64 (*.f64 1/2 x))) (*.f64 -1/48 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 eps 3)))))
(+.f64 (fma.f64 1/2 (*.f64 eps (cos.f64 (*.f64 1/2 x))) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 eps eps)) 1) (sin.f64 (*.f64 1/2 x)))) (*.f64 -1/48 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 eps 3))))
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) (+.f64 1 (*.f64 eps (*.f64 eps -1/8)))) (*.f64 (cos.f64 (*.f64 1/2 x)) (+.f64 (*.f64 -1/48 (pow.f64 eps 3)) (*.f64 1/2 eps))))
(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 eps x)))
(sin.f64 (*.f64 1/2 (-.f64 x (*.f64 -1 eps))))
(sin.f64 (*.f64 1/2 (+.f64 eps x)))
(sin.f64 (*.f64 1/2 (-.f64 x (*.f64 -1 eps))))
(sin.f64 (*.f64 1/2 (+.f64 eps x)))
(sin.f64 (*.f64 1/2 (-.f64 x (*.f64 -1 eps))))
(sin.f64 (*.f64 1/2 (+.f64 eps x)))
(cos.f64 (*.f64 1/2 eps))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) x)))
(fma.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) x) (cos.f64 (*.f64 1/2 eps)))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 -1/8 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 2))) (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) x))))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (fma.f64 -1/8 (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x x)) (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) x))))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (fma.f64 -1/8 (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x -1/2))))
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x -1/2)) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 x x)) 1) (cos.f64 (*.f64 1/2 eps))))
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x -1/2)) (*.f64 (+.f64 1 (*.f64 -1/8 (*.f64 x x))) (cos.f64 (*.f64 1/2 eps))))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 -1/8 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 2))) (+.f64 (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) x)) (*.f64 1/48 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 3))))))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (fma.f64 -1/8 (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x x)) (fma.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) x) (*.f64 1/48 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 3))))))
(+.f64 (cos.f64 (*.f64 1/2 eps)) (fma.f64 -1/8 (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x x)) (fma.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) x) (*.f64 (pow.f64 x 3) (*.f64 (sin.f64 (*.f64 1/2 eps)) 1/48)))))
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 x -1/2) (*.f64 (pow.f64 x 3) 1/48))) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 x x)) 1) (cos.f64 (*.f64 1/2 eps))))
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (pow.f64 x 3) 1/48) (*.f64 x -1/2))) (*.f64 (+.f64 1 (*.f64 -1/8 (*.f64 x x))) (cos.f64 (*.f64 1/2 eps))))
(cos.f64 (*.f64 1/2 (+.f64 eps x)))
(cos.f64 (*.f64 1/2 (+.f64 eps x)))
(cos.f64 (*.f64 1/2 (+.f64 eps x)))
(cos.f64 (*.f64 1/2 (+.f64 eps x)))
(cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -1 x))))
(cos.f64 (*.f64 1/2 (+.f64 eps x)))
(cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -1 x))))
(cos.f64 (*.f64 1/2 (+.f64 eps x)))
(cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -1 x))))
(cos.f64 (*.f64 1/2 (+.f64 eps x)))
(cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -1 x))))
(cos.f64 (*.f64 1/2 (+.f64 eps x)))
(cos.f64 (*.f64 1/2 x))
(+.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 -1/2 (*.f64 eps (sin.f64 (*.f64 1/2 x)))))
(fma.f64 -1/2 (*.f64 eps (sin.f64 (*.f64 1/2 x))) (cos.f64 (*.f64 1/2 x)))
(fma.f64 (*.f64 eps -1/2) (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))
(+.f64 (cos.f64 (*.f64 1/2 x)) (+.f64 (*.f64 -1/2 (*.f64 eps (sin.f64 (*.f64 1/2 x)))) (*.f64 -1/8 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 eps 2)))))
(+.f64 (cos.f64 (*.f64 1/2 x)) (fma.f64 -1/2 (*.f64 eps (sin.f64 (*.f64 1/2 x))) (*.f64 -1/8 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 eps eps)))))
(+.f64 (cos.f64 (*.f64 1/2 x)) (fma.f64 -1/2 (*.f64 eps (sin.f64 (*.f64 1/2 x))) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 -1/8 (*.f64 eps eps)))))
(+.f64 (*.f64 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 (cos.f64 (*.f64 1/2 x)) (+.f64 (*.f64 1/48 (*.f64 (pow.f64 eps 3) (sin.f64 (*.f64 1/2 x)))) (+.f64 (*.f64 -1/2 (*.f64 eps (sin.f64 (*.f64 1/2 x)))) (*.f64 -1/8 (*.f64 (cos.f64 (*.f64 1/2 x)) (pow.f64 eps 2))))))
(+.f64 (cos.f64 (*.f64 1/2 x)) (fma.f64 1/48 (*.f64 (sin.f64 (*.f64 1/2 x)) (pow.f64 eps 3)) (fma.f64 -1/2 (*.f64 eps (sin.f64 (*.f64 1/2 x))) (*.f64 -1/8 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 eps eps))))))
(+.f64 (cos.f64 (*.f64 1/2 x)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 -1/8 (*.f64 eps eps))) (*.f64 (sin.f64 (*.f64 1/2 x)) (+.f64 (*.f64 (pow.f64 eps 3) 1/48) (*.f64 eps -1/2)))))
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) (+.f64 (*.f64 eps -1/2) (*.f64 (pow.f64 eps 3) 1/48))) (*.f64 (+.f64 1 (*.f64 eps (*.f64 eps -1/8))) (cos.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))))
(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 eps x)))
(cos.f64 (*.f64 1/2 (-.f64 x (*.f64 -1 eps))))
(cos.f64 (*.f64 1/2 (+.f64 eps x)))
(cos.f64 (*.f64 1/2 (-.f64 x (*.f64 -1 eps))))
(cos.f64 (*.f64 1/2 (+.f64 eps x)))
(cos.f64 (*.f64 1/2 (-.f64 x (*.f64 -1 eps))))
(cos.f64 (*.f64 1/2 (+.f64 eps x)))
(*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 eps (sin.f64 (*.f64 1/2 x))))
(*.f64 eps (*.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) (*.f64 1/2 (pow.f64 (cos.f64 (*.f64 1/2 x)) 2))))) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 eps (sin.f64 (*.f64 1/2 x)))))
(fma.f64 1/2 (*.f64 (*.f64 eps eps) (fma.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (*.f64 1/2 (pow.f64 (cos.f64 (*.f64 1/2 x)) 2)))) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 eps (sin.f64 (*.f64 1/2 x)))))
(fma.f64 1/2 (*.f64 eps (*.f64 eps (fma.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (*.f64 1/2 (pow.f64 (cos.f64 (*.f64 1/2 x)) 2))))) (*.f64 eps (*.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) (*.f64 1/2 (pow.f64 (cos.f64 (*.f64 1/2 x)) 2))))) (+.f64 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/24 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) (*.f64 -1/8 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))))) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 eps (sin.f64 (*.f64 1/2 x))))))
(fma.f64 1/2 (*.f64 (*.f64 eps eps) (fma.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (*.f64 1/2 (pow.f64 (cos.f64 (*.f64 1/2 x)) 2)))) (fma.f64 (pow.f64 eps 3) (*.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) -1/6) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 eps (sin.f64 (*.f64 1/2 x))))))
(fma.f64 1/2 (*.f64 eps (*.f64 eps (fma.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (*.f64 1/2 (pow.f64 (cos.f64 (*.f64 1/2 x)) 2))))) (fma.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 eps (sin.f64 (*.f64 1/2 x))) (*.f64 (pow.f64 eps 3) (*.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) -1/6)))))
(fma.f64 1/2 (*.f64 eps (*.f64 eps (fma.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (*.f64 1/2 (pow.f64 (cos.f64 (*.f64 1/2 x)) 2))))) (*.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (+.f64 eps (*.f64 (pow.f64 eps 3) -1/6))))
(fma.f64 (*.f64 1/2 (*.f64 eps eps)) (fma.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (*.f64 1/2 (pow.f64 (cos.f64 (*.f64 1/2 x)) 2))) (*.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (+.f64 eps (*.f64 (pow.f64 eps 3) -1/6))))
(+.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)))))))
(fma.f64 (pow.f64 eps 4) (fma.f64 1/2 (fma.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 (fma.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (*.f64 1/2 (pow.f64 (cos.f64 (*.f64 1/2 x)) 2))))) (fma.f64 1/2 (*.f64 (*.f64 eps eps) (fma.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (*.f64 1/2 (pow.f64 (cos.f64 (*.f64 1/2 x)) 2)))) (fma.f64 (pow.f64 eps 3) (*.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) -1/6) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 eps (sin.f64 (*.f64 1/2 x)))))))
(fma.f64 (pow.f64 eps 4) (fma.f64 1/2 (fma.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 (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 x)) 2) -1/96) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) 1/96))) (fma.f64 1/2 (*.f64 eps (*.f64 eps (fma.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (*.f64 1/2 (pow.f64 (cos.f64 (*.f64 1/2 x)) 2))))) (fma.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 eps (sin.f64 (*.f64 1/2 x))) (*.f64 (pow.f64 eps 3) (*.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) -1/6))))))
(fma.f64 (pow.f64 eps 4) (*.f64 (fma.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (*.f64 1/2 (pow.f64 (cos.f64 (*.f64 1/2 x)) 2))) -1/24) (fma.f64 1/2 (*.f64 eps (*.f64 eps (fma.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (*.f64 1/2 (pow.f64 (cos.f64 (*.f64 1/2 x)) 2))))) (*.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))) (+.f64 eps (*.f64 (pow.f64 eps 3) -1/6)))))
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(*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 (-.f64 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)) (fma.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 (+.f64 eps x))) (*.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 (+.f64 eps x))))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (sin.f64 (*.f64 1/2 (+.f64 eps x))) (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 (+.f64 eps x))))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 (+.f64 eps x))) (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps x))) (cos.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)) (fma.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 (+.f64 eps x))) (*.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 (+.f64 eps x))))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (sin.f64 (*.f64 1/2 (+.f64 eps x))) (cos.f64 (*.f64 1/2 x)) (*.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 (+.f64 eps x))))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 (+.f64 eps x))) (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps x))) (cos.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)))
(fma.f64 -1/4 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x x)) (*.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) x)))
(fma.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (*.f64 x x) -1/4)))
(*.f64 x (+.f64 (*.f64 1/2 (cos.f64 (*.f64 1/2 eps))) (*.f64 x (*.f64 (sin.f64 (*.f64 1/2 eps)) -1/4))))
(+.f64 (*.f64 -1/4 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 2))) (+.f64 (*.f64 (+.f64 (*.f64 -1/48 (cos.f64 (*.f64 1/2 eps))) (*.f64 -1/16 (cos.f64 (*.f64 1/2 eps)))) (pow.f64 x 3)) (*.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) x))))
(fma.f64 -1/4 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x x)) (fma.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) -1/12) (pow.f64 x 3) (*.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) x))))
(fma.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x x)) -1/4 (fma.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 -1/12 (pow.f64 x 3)))))
(fma.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x x)) -1/4 (*.f64 (cos.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 1/2 x) (*.f64 (pow.f64 x 3) -1/12))))
(+.f64 (*.f64 -1/4 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 2))) (+.f64 (*.f64 1/48 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 4))) (+.f64 (*.f64 (+.f64 (*.f64 -1/48 (cos.f64 (*.f64 1/2 eps))) (*.f64 -1/16 (cos.f64 (*.f64 1/2 eps)))) (pow.f64 x 3)) (*.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) x)))))
(fma.f64 -1/4 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x x)) (fma.f64 1/48 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 4)) (fma.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) -1/12) (pow.f64 x 3) (*.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) x)))))
(fma.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x x)) -1/4 (fma.f64 1/48 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 4)) (fma.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 -1/12 (pow.f64 x 3))))))
(+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 1/2 x) (*.f64 (pow.f64 x 3) -1/12))) (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (*.f64 x x) -1/4) (*.f64 1/48 (pow.f64 x 4)))))
(*.f64 (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 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)

series43.0ms (0.2%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
42.0ms
eps
@-inf
(*.f64 -1/2 (*.f64 eps eps))
1.0ms
eps
@0
(*.f64 -1/2 (*.f64 eps eps))
1.0ms
eps
@inf
(*.f64 -1/2 (*.f64 eps eps))

rewrite51.0ms (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 exp.f64 (log.f64 (*.f64 -1/2 (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/2 (*.f64 eps eps))))))))

simplify192.0ms (0.9%)

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

Useful iterations: 0 (0.0ms)

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

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
✓0.2b
(pow.f64 (+.f64 (cos.f64 eps) -1) 2)
✓1.1b
(+.f64 (cos.f64 eps) -1)
Compiler

Compiled 24 to 16 computations (33.3% saved)

series5.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
eps
@0
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
1.0ms
eps
@-inf
(pow.f64 (+.f64 (cos.f64 eps) -1) 2)
1.0ms
eps
@inf
(pow.f64 (+.f64 (cos.f64 eps) -1) 2)
0.0ms
eps
@0
(pow.f64 (+.f64 (cos.f64 eps) -1) 2)
0.0ms
eps
@0
(+.f64 (cos.f64 eps) -1)

rewrite65.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
688×pow1_binary64
641×add-log-exp_binary64
640×log1p-expm1-u_binary64
640×expm1-log1p-u_binary64
628×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0821
116821
2172821
Stop Event
1×node limit
Counts
3 → 101
Calls
Call 1
Inputs
(+.f64 (cos.f64 eps) -1)
(pow.f64 (+.f64 (cos.f64 eps) -1) 2)
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
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 (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 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 4)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2) 1/2))))) (#(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) 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 fabs.f64 (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.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) (+.f64 (cos.f64 eps) -1)) (*.f64 -1 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 (+.f64 (cos.f64 eps) -1)) (*.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 eps)) (*.f64 (+.f64 (cos.f64 eps) -1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (cos.f64 eps) -1) -1) (*.f64 (+.f64 (cos.f64 eps) -1) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.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 (pow.f64 (+.f64 (cos.f64 eps) -1) 4)))))) (#(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)) (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 4)) (pow.f64 (cbrt.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)) (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sqrt.f64 (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (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 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (*.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (*.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1))) (+.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) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (*.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (pow.f64 (cos.f64 eps) 2) -1)) (*.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1))) (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (cos.f64 eps) -1)) (+.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) (+.f64 (cos.f64 eps) -1)) (+.f64 (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (+.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 (+.f64 (cos.f64 eps) -1) (+.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) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (+.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (cos.f64 eps) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 eps) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (/.f64 1 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 4)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2) 1/2))))) (#(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) 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 fabs.f64 (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.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)))))

simplify92.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
834×distribute-rgt-out_binary64
775×distribute-lft-out_binary64
644×fma-def_binary64
622×associate-*l*_binary64
465×associate-*r*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042378
1100378
2232378
3765378
43682378
56984378
67889378
Stop Event
1×node limit
Counts
137 → 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 1/4 (pow.f64 eps 4))
(+.f64 (*.f64 1/4 (pow.f64 eps 4)) (*.f64 -1/24 (pow.f64 eps 6)))
(+.f64 (*.f64 1/4 (pow.f64 eps 4)) (+.f64 (*.f64 -1/24 (pow.f64 eps 6)) (*.f64 1/320 (pow.f64 eps 8))))
(+.f64 (*.f64 -17/120960 (pow.f64 eps 10)) (+.f64 (*.f64 1/4 (pow.f64 eps 4)) (+.f64 (*.f64 -1/24 (pow.f64 eps 6)) (*.f64 1/320 (pow.f64 eps 8)))))
(pow.f64 (-.f64 (cos.f64 eps) 1) 2)
(pow.f64 (-.f64 (cos.f64 eps) 1) 2)
(pow.f64 (-.f64 (cos.f64 eps) 1) 2)
(pow.f64 (-.f64 (cos.f64 eps) 1) 2)
(pow.f64 (-.f64 (cos.f64 eps) 1) 2)
(pow.f64 (-.f64 (cos.f64 eps) 1) 2)
(pow.f64 (-.f64 (cos.f64 eps) 1) 2)
(pow.f64 (-.f64 (cos.f64 eps) 1) 2)
(*.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))))
(+.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 1/4 (pow.f64 eps 4))
(*.f64 (pow.f64 eps 4) 1/4)
(+.f64 (*.f64 1/4 (pow.f64 eps 4)) (*.f64 -1/24 (pow.f64 eps 6)))
(fma.f64 1/4 (pow.f64 eps 4) (*.f64 (pow.f64 eps 6) -1/24))
(fma.f64 (pow.f64 eps 4) 1/4 (*.f64 (pow.f64 eps 6) -1/24))
(+.f64 (*.f64 1/4 (pow.f64 eps 4)) (+.f64 (*.f64 -1/24 (pow.f64 eps 6)) (*.f64 1/320 (pow.f64 eps 8))))
(fma.f64 1/4 (pow.f64 eps 4) (fma.f64 -1/24 (pow.f64 eps 6) (*.f64 (pow.f64 eps 8) 1/320)))
(fma.f64 (pow.f64 eps 4) 1/4 (fma.f64 (pow.f64 eps 6) -1/24 (*.f64 (pow.f64 eps 8) 1/320)))
(+.f64 (*.f64 -17/120960 (pow.f64 eps 10)) (+.f64 (*.f64 1/4 (pow.f64 eps 4)) (+.f64 (*.f64 -1/24 (pow.f64 eps 6)) (*.f64 1/320 (pow.f64 eps 8)))))
(fma.f64 -17/120960 (pow.f64 eps 10) (fma.f64 1/4 (pow.f64 eps 4) (fma.f64 -1/24 (pow.f64 eps 6) (*.f64 (pow.f64 eps 8) 1/320))))
(fma.f64 -17/120960 (pow.f64 eps 10) (fma.f64 (pow.f64 eps 4) 1/4 (fma.f64 (pow.f64 eps 6) -1/24 (*.f64 (pow.f64 eps 8) 1/320))))
(fma.f64 (pow.f64 eps 4) 1/4 (fma.f64 (pow.f64 eps 6) -1/24 (fma.f64 (pow.f64 eps 8) 1/320 (*.f64 -17/120960 (pow.f64 eps 10)))))
(pow.f64 (-.f64 (cos.f64 eps) 1) 2)
(pow.f64 (+.f64 (cos.f64 eps) -1) 2)
(pow.f64 (-.f64 (cos.f64 eps) 1) 2)
(pow.f64 (+.f64 (cos.f64 eps) -1) 2)
(pow.f64 (-.f64 (cos.f64 eps) 1) 2)
(pow.f64 (+.f64 (cos.f64 eps) -1) 2)
(pow.f64 (-.f64 (cos.f64 eps) 1) 2)
(pow.f64 (+.f64 (cos.f64 eps) -1) 2)
(pow.f64 (-.f64 (cos.f64 eps) 1) 2)
(pow.f64 (+.f64 (cos.f64 eps) -1) 2)
(pow.f64 (-.f64 (cos.f64 eps) 1) 2)
(pow.f64 (+.f64 (cos.f64 eps) -1) 2)
(pow.f64 (-.f64 (cos.f64 eps) 1) 2)
(pow.f64 (+.f64 (cos.f64 eps) -1) 2)
(pow.f64 (-.f64 (cos.f64 eps) 1) 2)
(pow.f64 (+.f64 (cos.f64 eps) -1) 2)
(*.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))))
(+.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 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 4 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 2))
✓0.3b
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
✓0.3b
(pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 2)
✓9.6b
(sqrt.f64 (*.f64 4 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 2)))
Compiler

Compiled 48 to 41 computations (14.6% saved)

series8.0ms (0%)

Counts
4 → 40
Calls

12 calls:

TimeVariablePointExpression
1.0ms
eps
@inf
(*.f64 4 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 2))
1.0ms
eps
@-inf
(*.f64 4 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 2))
1.0ms
eps
@0
(sqrt.f64 (*.f64 4 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 2)))
1.0ms
eps
@inf
(sqrt.f64 (*.f64 4 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 2)))
1.0ms
eps
@-inf
(sqrt.f64 (*.f64 4 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 2)))

rewrite111.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
861×pow1_binary64
795×add-log-exp_binary64
795×log1p-expm1-u_binary64
795×expm1-log1p-u_binary64
775×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01144
122542
2233142
Stop Event
1×node limit
Counts
4 → 74
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 4 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 2)))
(pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 2)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(*.f64 4 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 4 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (cbrt.f64 (*.f64 4 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 4 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4))) (cbrt.f64 (*.f64 2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 2) (sin.f64 (*.f64 1/2 eps))) (*.f64 (sqrt.f64 2) (sin.f64 (*.f64 1/2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 16 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 8)))) (sqrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 4 1/2) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 16 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 8))) 1/2) (pow.f64 (cbrt.f64 (*.f64 4 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 4 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2) (sin.f64 (*.f64 1/2 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 4 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3) (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)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 8)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) 4) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 eps))) 4) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 eps))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.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)) 4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 4 (log.f64 (sin.f64 (*.f64 1/2 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)))))))
((#(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 (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 (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 (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 (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 8))) (sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4))))))) (#(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 fabs.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 1/2 eps)))))))) (#(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 -.f64 (+.f64 1 (*.f64 4 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 16 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 8)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 4 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 4 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 16 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 4) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 4 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 4 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 4 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 4 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4))))))))

simplify161.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1016×distribute-lft-out_binary64
619×sqr-pow_binary64
563×*-commutative_binary64
502×associate-+l+_binary64
349×pow-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067544
1160544
2396544
31324544
42248544
54067544
64780544
75137544
85466544
95963544
106474544
117055544
127645544
Stop Event
1×node limit
Counts
114 → 108
Calls
Call 1
Inputs
(*.f64 1/2 (pow.f64 eps 2))
(+.f64 (*.f64 1/2 (pow.f64 eps 2)) (*.f64 -1/24 (pow.f64 eps 4)))
(+.f64 (*.f64 1/2 (pow.f64 eps 2)) (+.f64 (*.f64 -1/24 (pow.f64 eps 4)) (*.f64 1/720 (pow.f64 eps 6))))
(+.f64 (*.f64 -1/40320 (pow.f64 eps 8)) (+.f64 (*.f64 1/2 (pow.f64 eps 2)) (+.f64 (*.f64 -1/24 (pow.f64 eps 4)) (*.f64 1/720 (pow.f64 eps 6)))))
(*.f64 2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(*.f64 2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(*.f64 2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(*.f64 2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(*.f64 2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(*.f64 2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(*.f64 2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(*.f64 2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(*.f64 1/16 (pow.f64 eps 4))
(+.f64 (*.f64 -1/96 (pow.f64 eps 6)) (*.f64 1/16 (pow.f64 eps 4)))
(+.f64 (*.f64 1/1280 (pow.f64 eps 8)) (+.f64 (*.f64 -1/96 (pow.f64 eps 6)) (*.f64 1/16 (pow.f64 eps 4))))
(+.f64 (*.f64 1/1280 (pow.f64 eps 8)) (+.f64 (*.f64 -1/96 (pow.f64 eps 6)) (+.f64 (*.f64 -17/483840 (pow.f64 eps 10)) (*.f64 1/16 (pow.f64 eps 4)))))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)
(*.f64 1/4 (pow.f64 eps 2))
(+.f64 (*.f64 1/4 (pow.f64 eps 2)) (*.f64 -1/48 (pow.f64 eps 4)))
(+.f64 (*.f64 1/4 (pow.f64 eps 2)) (+.f64 (*.f64 -1/48 (pow.f64 eps 4)) (*.f64 1/1440 (pow.f64 eps 6))))
(+.f64 (*.f64 1/4 (pow.f64 eps 2)) (+.f64 (*.f64 -1/48 (pow.f64 eps 4)) (+.f64 (*.f64 -1/80640 (pow.f64 eps 8)) (*.f64 1/1440 (pow.f64 eps 6)))))
(*.f64 1/4 (pow.f64 eps 4))
(+.f64 (*.f64 1/4 (pow.f64 eps 4)) (*.f64 -1/24 (pow.f64 eps 6)))
(+.f64 (*.f64 1/4 (pow.f64 eps 4)) (+.f64 (*.f64 -1/24 (pow.f64 eps 6)) (*.f64 1/320 (pow.f64 eps 8))))
(+.f64 (*.f64 -17/120960 (pow.f64 eps 10)) (+.f64 (*.f64 1/4 (pow.f64 eps 4)) (+.f64 (*.f64 -1/24 (pow.f64 eps 6)) (*.f64 1/320 (pow.f64 eps 8)))))
(*.f64 4 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4))
(*.f64 4 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4))
(*.f64 4 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4))
(*.f64 4 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4))
(*.f64 4 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4))
(*.f64 4 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4))
(*.f64 4 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4))
(*.f64 4 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4))
Outputs
(*.f64 1/2 (pow.f64 eps 2))
(*.f64 1/2 (*.f64 eps eps))
(+.f64 (*.f64 1/2 (pow.f64 eps 2)) (*.f64 -1/24 (pow.f64 eps 4)))
(fma.f64 1/2 (*.f64 eps eps) (*.f64 -1/24 (pow.f64 eps 4)))
(fma.f64 -1/24 (pow.f64 eps 4) (*.f64 1/2 (*.f64 eps eps)))
(+.f64 (*.f64 1/2 (pow.f64 eps 2)) (+.f64 (*.f64 -1/24 (pow.f64 eps 4)) (*.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 1/2 (*.f64 eps eps) (fma.f64 1/720 (pow.f64 eps 6) (*.f64 -1/24 (pow.f64 eps 4))))
(fma.f64 -1/24 (pow.f64 eps 4) (fma.f64 1/720 (pow.f64 eps 6) (*.f64 1/2 (*.f64 eps eps))))
(+.f64 (*.f64 -1/40320 (pow.f64 eps 8)) (+.f64 (*.f64 1/2 (pow.f64 eps 2)) (+.f64 (*.f64 -1/24 (pow.f64 eps 4)) (*.f64 1/720 (pow.f64 eps 6)))))
(fma.f64 -1/40320 (pow.f64 eps 8) (fma.f64 1/2 (*.f64 eps eps) (fma.f64 -1/24 (pow.f64 eps 4) (*.f64 1/720 (pow.f64 eps 6)))))
(fma.f64 -1/40320 (pow.f64 eps 8) (fma.f64 1/2 (*.f64 eps eps) (fma.f64 1/720 (pow.f64 eps 6) (*.f64 -1/24 (pow.f64 eps 4)))))
(fma.f64 1/2 (*.f64 eps eps) (fma.f64 -1/40320 (pow.f64 eps 8) (fma.f64 -1/24 (pow.f64 eps 4) (*.f64 1/720 (pow.f64 eps 6)))))
(fma.f64 -1/40320 (pow.f64 eps 8) (fma.f64 -1/24 (pow.f64 eps 4) (fma.f64 1/720 (pow.f64 eps 6) (*.f64 1/2 (*.f64 eps eps)))))
(*.f64 2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(*.f64 2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(*.f64 2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(*.f64 2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(*.f64 2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(*.f64 2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(*.f64 2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(*.f64 2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(*.f64 1/16 (pow.f64 eps 4))
(*.f64 (pow.f64 eps 4) 1/16)
(+.f64 (*.f64 -1/96 (pow.f64 eps 6)) (*.f64 1/16 (pow.f64 eps 4)))
(fma.f64 -1/96 (pow.f64 eps 6) (*.f64 (pow.f64 eps 4) 1/16))
(fma.f64 (pow.f64 eps 4) 1/16 (*.f64 (pow.f64 eps 6) -1/96))
(+.f64 (*.f64 1/1280 (pow.f64 eps 8)) (+.f64 (*.f64 -1/96 (pow.f64 eps 6)) (*.f64 1/16 (pow.f64 eps 4))))
(fma.f64 1/1280 (pow.f64 eps 8) (fma.f64 -1/96 (pow.f64 eps 6) (*.f64 (pow.f64 eps 4) 1/16)))
(fma.f64 (pow.f64 eps 8) 1/1280 (fma.f64 (pow.f64 eps 4) 1/16 (*.f64 (pow.f64 eps 6) -1/96)))
(fma.f64 (pow.f64 eps 4) 1/16 (fma.f64 (pow.f64 eps 8) 1/1280 (*.f64 (pow.f64 eps 6) -1/96)))
(fma.f64 (pow.f64 eps 4) 1/16 (fma.f64 (pow.f64 eps 6) -1/96 (*.f64 (pow.f64 eps 8) 1/1280)))
(+.f64 (*.f64 1/1280 (pow.f64 eps 8)) (+.f64 (*.f64 -1/96 (pow.f64 eps 6)) (+.f64 (*.f64 -17/483840 (pow.f64 eps 10)) (*.f64 1/16 (pow.f64 eps 4)))))
(fma.f64 1/1280 (pow.f64 eps 8) (fma.f64 -1/96 (pow.f64 eps 6) (fma.f64 -17/483840 (pow.f64 eps 10) (*.f64 (pow.f64 eps 4) 1/16))))
(fma.f64 (pow.f64 eps 8) 1/1280 (fma.f64 (pow.f64 eps 6) -1/96 (fma.f64 -17/483840 (pow.f64 eps 10) (*.f64 (pow.f64 eps 4) 1/16))))
(fma.f64 (pow.f64 eps 8) 1/1280 (fma.f64 (pow.f64 eps 4) 1/16 (fma.f64 -17/483840 (pow.f64 eps 10) (*.f64 (pow.f64 eps 6) -1/96))))
(fma.f64 (pow.f64 eps 6) -1/96 (fma.f64 (pow.f64 eps 8) 1/1280 (fma.f64 -17/483840 (pow.f64 eps 10) (*.f64 (pow.f64 eps 4) 1/16))))
(fma.f64 (pow.f64 eps 8) 1/1280 (fma.f64 (pow.f64 eps 4) 1/16 (fma.f64 (pow.f64 eps 6) -1/96 (*.f64 -17/483840 (pow.f64 eps 10)))))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)
(*.f64 1/4 (pow.f64 eps 2))
(*.f64 (*.f64 eps eps) 1/4)
(*.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 (pow.f64 eps 4) -1/48))
(fma.f64 (*.f64 eps eps) 1/4 (*.f64 (pow.f64 eps 4) -1/48))
(fma.f64 eps (*.f64 eps 1/4) (*.f64 (pow.f64 eps 4) -1/48))
(fma.f64 (pow.f64 eps 4) -1/48 (*.f64 eps (*.f64 eps 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 (pow.f64 eps 6) 1/1440)))
(fma.f64 (*.f64 eps eps) 1/4 (fma.f64 (pow.f64 eps 4) -1/48 (*.f64 (pow.f64 eps 6) 1/1440)))
(fma.f64 (pow.f64 eps 4) -1/48 (fma.f64 eps (*.f64 eps 1/4) (*.f64 (pow.f64 eps 6) 1/1440)))
(fma.f64 eps (*.f64 eps 1/4) (fma.f64 (pow.f64 eps 4) -1/48 (*.f64 (pow.f64 eps 6) 1/1440)))
(+.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 (pow.f64 eps 6) 1/1440))))
(fma.f64 (*.f64 eps eps) 1/4 (fma.f64 (pow.f64 eps 4) -1/48 (fma.f64 (pow.f64 eps 6) 1/1440 (*.f64 (pow.f64 eps 8) -1/80640))))
(fma.f64 eps (*.f64 eps 1/4) (fma.f64 (pow.f64 eps 4) -1/48 (fma.f64 (pow.f64 eps 6) 1/1440 (*.f64 (pow.f64 eps 8) -1/80640))))
(*.f64 1/4 (pow.f64 eps 4))
(*.f64 (pow.f64 eps 4) 1/4)
(+.f64 (*.f64 1/4 (pow.f64 eps 4)) (*.f64 -1/24 (pow.f64 eps 6)))
(fma.f64 1/4 (pow.f64 eps 4) (*.f64 -1/24 (pow.f64 eps 6)))
(fma.f64 -1/24 (pow.f64 eps 6) (*.f64 (pow.f64 eps 4) 1/4))
(fma.f64 (pow.f64 eps 4) 1/4 (*.f64 -1/24 (pow.f64 eps 6)))
(+.f64 (*.f64 1/4 (pow.f64 eps 4)) (+.f64 (*.f64 -1/24 (pow.f64 eps 6)) (*.f64 1/320 (pow.f64 eps 8))))
(fma.f64 1/4 (pow.f64 eps 4) (fma.f64 -1/24 (pow.f64 eps 6) (*.f64 (pow.f64 eps 8) 1/320)))
(fma.f64 (pow.f64 eps 4) 1/4 (fma.f64 -1/24 (pow.f64 eps 6) (*.f64 (pow.f64 eps 8) 1/320)))
(fma.f64 (pow.f64 eps 4) 1/4 (fma.f64 (pow.f64 eps 8) 1/320 (*.f64 -1/24 (pow.f64 eps 6))))
(fma.f64 -1/24 (pow.f64 eps 6) (fma.f64 (pow.f64 eps 4) 1/4 (*.f64 (pow.f64 eps 8) 1/320)))
(+.f64 (*.f64 -17/120960 (pow.f64 eps 10)) (+.f64 (*.f64 1/4 (pow.f64 eps 4)) (+.f64 (*.f64 -1/24 (pow.f64 eps 6)) (*.f64 1/320 (pow.f64 eps 8)))))
(fma.f64 -17/120960 (pow.f64 eps 10) (fma.f64 1/4 (pow.f64 eps 4) (fma.f64 -1/24 (pow.f64 eps 6) (*.f64 (pow.f64 eps 8) 1/320))))
(fma.f64 (pow.f64 eps 10) -17/120960 (fma.f64 (pow.f64 eps 4) 1/4 (fma.f64 -1/24 (pow.f64 eps 6) (*.f64 (pow.f64 eps 8) 1/320))))
(fma.f64 (pow.f64 eps 4) 1/4 (fma.f64 (pow.f64 eps 10) -17/120960 (fma.f64 (pow.f64 eps 8) 1/320 (*.f64 -1/24 (pow.f64 eps 6)))))
(fma.f64 (pow.f64 eps 4) 1/4 (fma.f64 (pow.f64 eps 10) -17/120960 (fma.f64 -1/24 (pow.f64 eps 6) (*.f64 (pow.f64 eps 8) 1/320))))
(*.f64 4 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4))
(*.f64 4 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4))
(*.f64 4 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4))
(*.f64 4 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4))
(*.f64 4 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4))
(*.f64 4 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4))
(*.f64 4 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4))
(*.f64 4 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4))

localize56.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.6b
(pow.f64 (cbrt.f64 (*.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))))) 3)
✓1.0b
(cbrt.f64 -2)
2.0b
(sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))
✓5.2b
(cbrt.f64 (*.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)))))
Compiler

Compiled 146 to 72 computations (50.7% saved)

series38.0ms (0.2%)

Counts
3 → 40
Calls

12 calls:

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

rewrite90.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
704×fma-def_binary64
313×fma-neg_binary64
262×expm1-udef_binary64
262×log1p-udef_binary64
206×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02057
146429
2597429
Stop Event
1×node limit
Counts
3 → 80
Calls
Call 1
Inputs
(cbrt.f64 (*.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)))))
(cbrt.f64 -2)
(pow.f64 (cbrt.f64 (*.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))))) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 -2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 4)) (*.f64 (cbrt.f64 (cbrt.f64 -2)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))) (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 2) 4)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 2) 4))) (cbrt.f64 (cbrt.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2) (cbrt.f64 -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 -2 1/6) (*.f64 (pow.f64 -2 1/6) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sqrt.f64 -2))) (cbrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sqrt.f64 -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2)))) (cbrt.f64 (sin.f64 (*.f64 eps 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 2) 4)) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sqrt.f64 -2)) 1/3) (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sqrt.f64 -2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) 1/3) (cbrt.f64 (sin.f64 (*.f64 eps 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sqrt.f64 -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 -2)) (cbrt.f64 (cbrt.f64 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 4)) (cbrt.f64 (cbrt.f64 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 -2 1/6) (pow.f64 -2 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 -2 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 -2 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 -2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 -2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 -2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))) 1)))) (#(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 (cbrt.f64 -2) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2) (cbrt.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 -2 (sin.f64 (*.f64 eps 1/2))))))) (#(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 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))) (cbrt.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 2) 4)) (cbrt.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.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 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 2) 4))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))) (cbrt.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 2) 4))))))) (#(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 (cbrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sqrt.f64 -2))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sqrt.f64 -2))) (cbrt.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 eps 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 2) 4))) 3) (cbrt.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sqrt.f64 -2))) 3) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sqrt.f64 -2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 (pow.f64 (pow.f64 (cbrt.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 (cbrt.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 2) 4)) (cbrt.f64 -2)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 2) 4)) 1) (cbrt.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 2) 4)) (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 2) 4)))) (cbrt.f64 (cbrt.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 2) 4)) (cbrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sqrt.f64 -2)))) (cbrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sqrt.f64 -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) 1) (sin.f64 (*.f64 eps 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2)) (cbrt.f64 (sin.f64 (*.f64 eps 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2))) (sqrt.f64 (sin.f64 (*.f64 eps 1/2)))) (sqrt.f64 (sin.f64 (*.f64 eps 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 (*.f64 1/2 (+.f64 eps eps)))) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 (*.f64 1/2 (+.f64 eps eps))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))))))))

simplify98.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
844×fma-def_binary64
572×*-commutative_binary64
399×distribute-rgt-in_binary64
397×distribute-lft-in_binary64
357×unswap-sqr_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01733059
15352839
217252470
361632464
Stop Event
1×node limit
Counts
120 → 104
Calls
Call 1
Inputs
(*.f64 (pow.f64 (*.f64 1 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))) 1/3) (cbrt.f64 -2))
(*.f64 (pow.f64 (*.f64 1 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))) 1/3) (cbrt.f64 -2))
(*.f64 (pow.f64 (*.f64 1 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))) 1/3) (cbrt.f64 -2))
(*.f64 (pow.f64 (*.f64 1 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))) 1/3) (cbrt.f64 -2))
(*.f64 (pow.f64 (*.f64 1 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))) 1/3) (cbrt.f64 -2))
(*.f64 (pow.f64 (*.f64 1 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))) 1/3) (cbrt.f64 -2))
(*.f64 (pow.f64 (*.f64 1 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))) 1/3) (cbrt.f64 -2))
(*.f64 (pow.f64 (*.f64 1 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))) 1/3) (cbrt.f64 -2))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 1/3) (cbrt.f64 -2))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 5)) 1/9) (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 (cbrt.f64 -2) x)))) (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 1/3) (cbrt.f64 -2)))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 5)) 1/9) (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 (cbrt.f64 -2) x)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) 1/3) (*.f64 (-.f64 (*.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16)) 1/9) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)))) (*.f64 (cbrt.f64 -2) (pow.f64 x 2))))) (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 1/3) (cbrt.f64 -2))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 5)) 1/9) (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 (cbrt.f64 -2) x)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) 1/3) (*.f64 (-.f64 (*.f64 -1/6 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps)))) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 5)) 1/3) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 3))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 (*.f64 1/2 eps))) 1/9) (*.f64 (-.f64 (*.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16)) 1/9) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)))) (cos.f64 (*.f64 1/2 eps))))))) (*.f64 (cbrt.f64 -2) (pow.f64 x 3))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) 1/3) (*.f64 (-.f64 (*.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16)) 1/9) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)))) (*.f64 (cbrt.f64 -2) (pow.f64 x 2))))) (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 1/3) (cbrt.f64 -2)))))
(*.f64 (pow.f64 (*.f64 1 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))) 1/3) (cbrt.f64 -2))
(*.f64 (pow.f64 (*.f64 1 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))) 1/3) (cbrt.f64 -2))
(*.f64 (pow.f64 (*.f64 1 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))) 1/3) (cbrt.f64 -2))
(*.f64 (pow.f64 (*.f64 1 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))) 1/3) (cbrt.f64 -2))
(*.f64 (pow.f64 (*.f64 1 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))) 1/3) (cbrt.f64 -2))
(*.f64 (pow.f64 (*.f64 1 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))) 1/3) (cbrt.f64 -2))
(*.f64 (pow.f64 (*.f64 1 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))) 1/3) (cbrt.f64 -2))
(*.f64 (pow.f64 (*.f64 1 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))) 1/3) (cbrt.f64 -2))
(*.f64 -2 (*.f64 (pow.f64 1 1/3) (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))))
(*.f64 -2 (*.f64 (pow.f64 1 1/3) (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))))
(*.f64 -2 (*.f64 (pow.f64 1 1/3) (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))))
(*.f64 -2 (*.f64 (pow.f64 1 1/3) (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))))
(*.f64 -2 (*.f64 (pow.f64 1 1/3) (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))))
(*.f64 -2 (*.f64 (pow.f64 1 1/3) (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))))
(*.f64 -2 (*.f64 (pow.f64 1 1/3) (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))))
(*.f64 -2 (*.f64 (pow.f64 1 1/3) (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))))
(*.f64 -2 (*.f64 (pow.f64 1 1/3) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(+.f64 (*.f64 (+.f64 (*.f64 -4/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 17)) 1/9) (cos.f64 (*.f64 1/2 eps)))) (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 17)) 1/9) (cos.f64 (*.f64 1/2 eps))))) x) (*.f64 -2 (*.f64 (pow.f64 1 1/3) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))
(+.f64 (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16)) 1/9) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)))))) (+.f64 (*.f64 -4/9 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16)) 1/9) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2))) (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 1/3) (*.f64 (+.f64 (*.f64 1/3 (*.f64 (*.f64 (-.f64 (*.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16)) 1/9) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)))) (pow.f64 (cbrt.f64 -2) 2)) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 1/3))) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 10)) 1/9) (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2) (pow.f64 (cbrt.f64 -2) 2)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 1/3) (*.f64 (-.f64 (*.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16)) 1/9) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)))) (pow.f64 (cbrt.f64 -2) 2)))))) (cbrt.f64 -2))))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 -4/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 17)) 1/9) (cos.f64 (*.f64 1/2 eps)))) (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 17)) 1/9) (cos.f64 (*.f64 1/2 eps))))) x) (*.f64 -2 (*.f64 (pow.f64 1 1/3) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))
(+.f64 (*.f64 (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 7)) 1/9) (*.f64 (-.f64 (*.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16)) 1/9) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 (cbrt.f64 -2) 2))))) (+.f64 (*.f64 1/9 (*.f64 (*.f64 (-.f64 (*.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16)) 1/9) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 (cbrt.f64 -2) 2))) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 7)) 1/9))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 1/3) (*.f64 (-.f64 (*.f64 -1/6 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps)))) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 5)) 1/3) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 3))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 (*.f64 1/2 eps))) 1/9) (*.f64 (-.f64 (*.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16)) 1/9) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)))) (cos.f64 (*.f64 1/2 eps))))))) (pow.f64 (cbrt.f64 -2) 2)))))) (cbrt.f64 -2)) (pow.f64 (*.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 1/3)) (+.f64 (*.f64 -4/9 (*.f64 (pow.f64 (/.f64 1 (sin.f64 (*.f64 1/2 eps))) 1/9) (*.f64 (-.f64 (*.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16)) 1/9) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)))) (cos.f64 (*.f64 1/2 eps))))) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 -1/6 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps)))) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 5)) 1/3) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 3))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 (*.f64 1/2 eps))) 1/9) (*.f64 (-.f64 (*.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16)) 1/9) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)))) (cos.f64 (*.f64 1/2 eps))))))))) (*.f64 1/3 (*.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (*.f64 (-.f64 (*.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16)) 1/9) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)))) (pow.f64 (cbrt.f64 -2) 2)) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 1/3))) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 10)) 1/9) (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2) (pow.f64 (cbrt.f64 -2) 2)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 1/3) (*.f64 (-.f64 (*.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16)) 1/9) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)))) (pow.f64 (cbrt.f64 -2) 2)))))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (cbrt.f64 -2))) (pow.f64 (*.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 5)) 1/9)))))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16)) 1/9) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)))))) (+.f64 (*.f64 -4/9 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16)) 1/9) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2))) (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 1/3) (*.f64 (+.f64 (*.f64 1/3 (*.f64 (*.f64 (-.f64 (*.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16)) 1/9) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)))) (pow.f64 (cbrt.f64 -2) 2)) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 1/3))) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 10)) 1/9) (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2) (pow.f64 (cbrt.f64 -2) 2)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 1/3) (*.f64 (-.f64 (*.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16)) 1/9) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)))) (pow.f64 (cbrt.f64 -2) 2)))))) (cbrt.f64 -2))))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 -4/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 17)) 1/9) (cos.f64 (*.f64 1/2 eps)))) (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 17)) 1/9) (cos.f64 (*.f64 1/2 eps))))) x) (*.f64 -2 (*.f64 (pow.f64 1 1/3) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))))
(*.f64 -2 (*.f64 (pow.f64 1 1/3) (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))))
(*.f64 -2 (*.f64 (pow.f64 1 1/3) (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))))
(*.f64 -2 (*.f64 (pow.f64 1 1/3) (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))))
(*.f64 -2 (*.f64 (pow.f64 1 1/3) (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))))
(*.f64 -2 (*.f64 (pow.f64 1 1/3) (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))))
(*.f64 -2 (*.f64 (pow.f64 1 1/3) (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))))
(*.f64 -2 (*.f64 (pow.f64 1 1/3) (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))))
(*.f64 -2 (*.f64 (pow.f64 1 1/3) (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))))
Outputs
(*.f64 (pow.f64 (*.f64 1 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))) 1/3) (cbrt.f64 -2))
(*.f64 (cbrt.f64 -2) (cbrt.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))))
(*.f64 (cbrt.f64 -2) (cbrt.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps (*.f64 1 x))))))
(*.f64 (cbrt.f64 -2) (cbrt.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))))
(*.f64 (pow.f64 (*.f64 1 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))) 1/3) (cbrt.f64 -2))
(*.f64 (cbrt.f64 -2) (cbrt.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))))
(*.f64 (cbrt.f64 -2) (cbrt.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps (*.f64 1 x))))))
(*.f64 (cbrt.f64 -2) (cbrt.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))))
(*.f64 (pow.f64 (*.f64 1 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))) 1/3) (cbrt.f64 -2))
(*.f64 (cbrt.f64 -2) (cbrt.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))))
(*.f64 (cbrt.f64 -2) (cbrt.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps (*.f64 1 x))))))
(*.f64 (cbrt.f64 -2) (cbrt.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))))
(*.f64 (pow.f64 (*.f64 1 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))) 1/3) (cbrt.f64 -2))
(*.f64 (cbrt.f64 -2) (cbrt.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))))
(*.f64 (cbrt.f64 -2) (cbrt.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps (*.f64 1 x))))))
(*.f64 (cbrt.f64 -2) (cbrt.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))))
(*.f64 (pow.f64 (*.f64 1 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))) 1/3) (cbrt.f64 -2))
(*.f64 (cbrt.f64 -2) (cbrt.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))))
(*.f64 (cbrt.f64 -2) (cbrt.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps (*.f64 1 x))))))
(*.f64 (cbrt.f64 -2) (cbrt.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))))
(*.f64 (pow.f64 (*.f64 1 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))) 1/3) (cbrt.f64 -2))
(*.f64 (cbrt.f64 -2) (cbrt.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))))
(*.f64 (cbrt.f64 -2) (cbrt.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps (*.f64 1 x))))))
(*.f64 (cbrt.f64 -2) (cbrt.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))))
(*.f64 (pow.f64 (*.f64 1 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))) 1/3) (cbrt.f64 -2))
(*.f64 (cbrt.f64 -2) (cbrt.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))))
(*.f64 (cbrt.f64 -2) (cbrt.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps (*.f64 1 x))))))
(*.f64 (cbrt.f64 -2) (cbrt.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))))
(*.f64 (pow.f64 (*.f64 1 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))) 1/3) (cbrt.f64 -2))
(*.f64 (cbrt.f64 -2) (cbrt.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))))
(*.f64 (cbrt.f64 -2) (cbrt.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps (*.f64 1 x))))))
(*.f64 (cbrt.f64 -2) (cbrt.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))))
(*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 1/3) (cbrt.f64 -2))
(*.f64 (cbrt.f64 -2) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 5)) 1/9) (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 (cbrt.f64 -2) x)))) (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 1/3) (cbrt.f64 -2)))
(fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 5) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 5) 1/18)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x (cbrt.f64 -2)))) (*.f64 (cbrt.f64 -2) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))
(fma.f64 1/3 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 5) 1/18) (*.f64 (*.f64 (cbrt.f64 -2) (*.f64 x (cos.f64 (*.f64 1/2 eps)))) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 5) 1/18))) (*.f64 (cbrt.f64 -2) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))
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(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 (fma.f64 1/2 eps (*.f64 1 x))) -2))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps x))))
(*.f64 -2 (*.f64 (pow.f64 1 1/3) (*.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 eps (*.f64 2 x))))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 (fma.f64 1/2 eps (*.f64 1 x))) -2))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps x))))
(*.f64 -2 (*.f64 (pow.f64 1 1/3) (*.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 eps (*.f64 2 x))))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 (fma.f64 1/2 eps (*.f64 1 x))) -2))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps x))))
(*.f64 -2 (*.f64 (pow.f64 1 1/3) (*.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 eps (*.f64 2 x))))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 (fma.f64 1/2 eps (*.f64 1 x))) -2))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps x))))
(*.f64 -2 (*.f64 (pow.f64 1 1/3) (*.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 eps (*.f64 2 x))))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 (fma.f64 1/2 eps (*.f64 1 x))) -2))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps x))))
(*.f64 -2 (*.f64 (pow.f64 1 1/3) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(+.f64 (*.f64 (+.f64 (*.f64 -4/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 17)) 1/9) (cos.f64 (*.f64 1/2 eps)))) (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 17)) 1/9) (cos.f64 (*.f64 1/2 eps))))) x) (*.f64 -2 (*.f64 (pow.f64 1 1/3) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))
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(fma.f64 x (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 17) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 17) 1/18)) (*.f64 (cos.f64 (*.f64 1/2 eps)) -2)) (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(*.f64 -2 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 x (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 17) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 17) 1/18))))))
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(fma.f64 (+.f64 (*.f64 -2/3 (-.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -1/2) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18)) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2))))) (fma.f64 -4/9 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18)) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 (cbrt.f64 -2) (fma.f64 1/3 (*.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -1/2) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18)) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)))) (*.f64 (pow.f64 (cbrt.f64 -2) 2) (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))) (fma.f64 1/9 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 10) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 10) 1/18)) (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2) (pow.f64 (cbrt.f64 -2) 2))) (*.f64 1/3 (*.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -1/2) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18)) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)))) (*.f64 (pow.f64 (cbrt.f64 -2) 2) (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))))))))) (*.f64 x x) (fma.f64 (*.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 17) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 17) 1/18))) -2) x (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))
(fma.f64 (*.f64 x x) (fma.f64 (fma.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -1/2 (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18)) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)) -1/3)) -2/3 (fma.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 (cbrt.f64 -2) (fma.f64 1/3 (*.f64 (fma.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -1/2 (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18)) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)) -1/3)) (*.f64 (pow.f64 (cbrt.f64 -2) 2) (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))) (fma.f64 1/3 (*.f64 (fma.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -1/2 (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18)) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)) -1/3)) (*.f64 (pow.f64 (cbrt.f64 -2) 2) (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))) (*.f64 1/9 (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2) (*.f64 (pow.f64 (cbrt.f64 -2) 2) (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 10) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 10) 1/18)))))))) (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18)) (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2) -4/9)))) (fma.f64 x (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 17) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 17) 1/18)) (*.f64 (cos.f64 (*.f64 1/2 eps)) -2)) (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))
(fma.f64 (*.f64 x x) (fma.f64 (cbrt.f64 -2) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (fma.f64 1/9 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 10) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 10) 1/18)) (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2) (pow.f64 (cbrt.f64 -2) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18)) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)) -1/3 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -1/2)) (*.f64 (pow.f64 (cbrt.f64 -2) 2) (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))) 2/3))) (fma.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18)) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)) -1/3 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -1/2)) -2/3 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18)) (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2) -4/9)))) (*.f64 -2 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 x (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 17) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 17) 1/18)))))))
(+.f64 (*.f64 (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 7)) 1/9) (*.f64 (-.f64 (*.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16)) 1/9) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 (cbrt.f64 -2) 2))))) (+.f64 (*.f64 1/9 (*.f64 (*.f64 (-.f64 (*.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16)) 1/9) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 (cbrt.f64 -2) 2))) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 7)) 1/9))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 1/3) (*.f64 (-.f64 (*.f64 -1/6 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps)))) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 5)) 1/3) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 3))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 (*.f64 1/2 eps))) 1/9) (*.f64 (-.f64 (*.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16)) 1/9) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)))) (cos.f64 (*.f64 1/2 eps))))))) (pow.f64 (cbrt.f64 -2) 2)))))) (cbrt.f64 -2)) (pow.f64 (*.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 1/3)) (+.f64 (*.f64 -4/9 (*.f64 (pow.f64 (/.f64 1 (sin.f64 (*.f64 1/2 eps))) 1/9) (*.f64 (-.f64 (*.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16)) 1/9) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)))) (cos.f64 (*.f64 1/2 eps))))) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 -1/6 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps)))) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 5)) 1/3) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 3))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 (*.f64 1/2 eps))) 1/9) (*.f64 (-.f64 (*.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16)) 1/9) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)))) (cos.f64 (*.f64 1/2 eps))))))))) (*.f64 1/3 (*.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (*.f64 (-.f64 (*.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16)) 1/9) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)))) (pow.f64 (cbrt.f64 -2) 2)) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 1/3))) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 10)) 1/9) (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2) (pow.f64 (cbrt.f64 -2) 2)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 1/3) (*.f64 (-.f64 (*.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16)) 1/9) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)))) (pow.f64 (cbrt.f64 -2) 2)))))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (cbrt.f64 -2))) (pow.f64 (*.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 5)) 1/9)))))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16)) 1/9) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)))))) (+.f64 (*.f64 -4/9 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16)) 1/9) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2))) (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 1/3) (*.f64 (+.f64 (*.f64 1/3 (*.f64 (*.f64 (-.f64 (*.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16)) 1/9) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)))) (pow.f64 (cbrt.f64 -2) 2)) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 1/3))) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 10)) 1/9) (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2) (pow.f64 (cbrt.f64 -2) 2)))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 1/3) (*.f64 (-.f64 (*.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16)) 1/9) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)))) (pow.f64 (cbrt.f64 -2) 2)))))) (cbrt.f64 -2))))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 -4/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 17)) 1/9) (cos.f64 (*.f64 1/2 eps)))) (*.f64 -2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 17)) 1/9) (cos.f64 (*.f64 1/2 eps))))) x) (*.f64 -2 (*.f64 (pow.f64 1 1/3) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))))
(fma.f64 (fma.f64 (*.f64 (cbrt.f64 -2) (fma.f64 1/9 (*.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -1/2) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18)) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)))) (*.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 (cbrt.f64 -2) 2)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 7)) 1/18)))) (fma.f64 1/9 (*.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -1/2) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18)) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)))) (*.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 (cbrt.f64 -2) 2)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 7)) 1/18)))) (*.f64 2/3 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (*.f64 (-.f64 (*.f64 -1/6 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps)))) (fma.f64 1/27 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 5)) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 3)) (*.f64 2/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 (*.f64 1/2 eps))) 1/18) (pow.f64 (/.f64 1 (sin.f64 (*.f64 1/2 eps))) 1/18)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (-.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -1/2) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18)) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2))))))))) (pow.f64 (cbrt.f64 -2) 2))))))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (fma.f64 -4/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 (*.f64 1/2 eps))) 1/18) (pow.f64 (/.f64 1 (sin.f64 (*.f64 1/2 eps))) 1/18)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (-.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -1/2) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18)) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)))))) (+.f64 (*.f64 -2/3 (-.f64 (*.f64 -1/6 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps)))) (fma.f64 1/27 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 5)) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 3)) (*.f64 2/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 (*.f64 1/2 eps))) 1/18) (pow.f64 (/.f64 1 (sin.f64 (*.f64 1/2 eps))) 1/18)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (-.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -1/2) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18)) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)))))))))) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 5) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 5) 1/18)) (*.f64 (fma.f64 1/3 (*.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -1/2) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18)) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)))) (*.f64 (pow.f64 (cbrt.f64 -2) 2) (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))) (fma.f64 1/9 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 10) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 10) 1/18)) (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2) (pow.f64 (cbrt.f64 -2) 2))) (*.f64 1/3 (*.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -1/2) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18)) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)))) (*.f64 (pow.f64 (cbrt.f64 -2) 2) (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))))) (*.f64 (cbrt.f64 -2) (cos.f64 (*.f64 1/2 eps))))))))) (pow.f64 x 3) (fma.f64 (+.f64 (*.f64 -2/3 (-.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -1/2) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18)) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2))))) (fma.f64 -4/9 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18)) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 (cbrt.f64 -2) (fma.f64 1/3 (*.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -1/2) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18)) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)))) (*.f64 (pow.f64 (cbrt.f64 -2) 2) (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))) (fma.f64 1/9 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 10) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 10) 1/18)) (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2) (pow.f64 (cbrt.f64 -2) 2))) (*.f64 1/3 (*.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -1/2) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18)) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)))) (*.f64 (pow.f64 (cbrt.f64 -2) 2) (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))))))))) (*.f64 x x) (fma.f64 (*.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 17) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 17) 1/18))) -2) x (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))
(fma.f64 (pow.f64 x 3) (fma.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 (cbrt.f64 -2) (+.f64 (*.f64 2/3 (*.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) -1/6)) (fma.f64 1/27 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 5)) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 3)) (*.f64 (*.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 (*.f64 1/2 eps))) 1/18) (pow.f64 (/.f64 1 (sin.f64 (*.f64 1/2 eps))) 1/18))) (cos.f64 (*.f64 1/2 eps))) (fma.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -1/2 (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18)) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)) -1/3))))) (*.f64 (pow.f64 (cbrt.f64 -2) 2) (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))) (*.f64 (*.f64 (fma.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -1/2 (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18)) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)) -1/3)) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 7)) 1/18)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 (cbrt.f64 -2) 2)))) 2/9))) (fma.f64 (*.f64 (fma.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -1/2 (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18)) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)) -1/3)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 (pow.f64 (/.f64 1 (sin.f64 (*.f64 1/2 eps))) 1/18) (pow.f64 (/.f64 1 (sin.f64 (*.f64 1/2 eps))) 1/18)))) -4/9 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 5) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 5) 1/18)) (*.f64 (cbrt.f64 -2) (*.f64 (cos.f64 (*.f64 1/2 eps)) (fma.f64 1/3 (*.f64 (fma.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -1/2 (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18)) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)) -1/3)) (*.f64 (pow.f64 (cbrt.f64 -2) 2) (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))) (fma.f64 1/3 (*.f64 (fma.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -1/2 (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18)) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)) -1/3)) (*.f64 (pow.f64 (cbrt.f64 -2) 2) (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))) (*.f64 1/9 (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2) (*.f64 (pow.f64 (cbrt.f64 -2) 2) (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 10) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 10) 1/18)))))))))) (*.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) -1/6)) (fma.f64 1/27 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 5)) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 3)) (*.f64 (*.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 (*.f64 1/2 eps))) 1/18) (pow.f64 (/.f64 1 (sin.f64 (*.f64 1/2 eps))) 1/18))) (cos.f64 (*.f64 1/2 eps))) (fma.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -1/2 (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18)) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)) -1/3))))) -2/3)))) (fma.f64 (*.f64 x x) (fma.f64 (fma.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -1/2 (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18)) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)) -1/3)) -2/3 (fma.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 (cbrt.f64 -2) (fma.f64 1/3 (*.f64 (fma.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -1/2 (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18)) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)) -1/3)) (*.f64 (pow.f64 (cbrt.f64 -2) 2) (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))) (fma.f64 1/3 (*.f64 (fma.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -1/2 (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18)) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)) -1/3)) (*.f64 (pow.f64 (cbrt.f64 -2) 2) (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))) (*.f64 1/9 (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2) (*.f64 (pow.f64 (cbrt.f64 -2) 2) (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 10) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 10) 1/18)))))))) (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18)) (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2) -4/9)))) (fma.f64 x (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 17) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 17) 1/18)) (*.f64 (cos.f64 (*.f64 1/2 eps)) -2)) (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))
(fma.f64 (pow.f64 x 3) (fma.f64 (cbrt.f64 -2) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (fma.f64 (*.f64 (pow.f64 (cbrt.f64 -2) 2) (*.f64 2/3 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (-.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) -1/6) (*.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18)) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)) -1/3 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -1/2)) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 (*.f64 1/2 eps))) 1/18) (pow.f64 (/.f64 1 (sin.f64 (*.f64 1/2 eps))) 1/18)))))) (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 eps)) 3) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 5)) -1/27))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 7)) 1/18)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18)) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)) -1/3 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -1/2)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 (cbrt.f64 -2) 2))) 2/9)))) (fma.f64 (fma.f64 1/9 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 10) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 10) 1/18)) (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2) (pow.f64 (cbrt.f64 -2) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18)) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)) -1/3 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -1/2)) (*.f64 (pow.f64 (cbrt.f64 -2) 2) (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))) 2/3)) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 5) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 5) 1/18)) (*.f64 (cbrt.f64 -2) (cos.f64 (*.f64 1/2 eps))))) (fma.f64 (+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (-.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) -1/6) (*.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18)) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)) -1/3 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -1/2)) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 (*.f64 1/2 eps))) 1/18) (pow.f64 (/.f64 1 (sin.f64 (*.f64 1/2 eps))) 1/18)))))) (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 eps)) 3) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 5)) -1/27))) -2/3 (*.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18)) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)) -1/3 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -1/2)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 (*.f64 1/2 eps))) 1/18) (pow.f64 (/.f64 1 (sin.f64 (*.f64 1/2 eps))) 1/18)) -4/9)))))) (fma.f64 (*.f64 x x) (fma.f64 (cbrt.f64 -2) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (fma.f64 1/9 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 10) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 10) 1/18)) (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2) (pow.f64 (cbrt.f64 -2) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18)) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)) -1/3 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -1/2)) (*.f64 (pow.f64 (cbrt.f64 -2) 2) (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))) 2/3))) (fma.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18)) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)) -1/3 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -1/2)) -2/3 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18)) (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2) -4/9)))) (*.f64 -2 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 x (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 17) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 17) 1/18))))))))
(fma.f64 (pow.f64 x 3) (fma.f64 (cbrt.f64 -2) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (fma.f64 (*.f64 (pow.f64 (cbrt.f64 -2) 2) (*.f64 2/3 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))) (fma.f64 (cos.f64 (*.f64 1/2 eps)) (-.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) -1/6) (*.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18)) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)) -1/3 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -1/2)) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 (*.f64 1/2 eps))) 1/18) (pow.f64 (/.f64 1 (sin.f64 (*.f64 1/2 eps))) 1/18))))) (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 eps)) 3) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 5)) -1/27))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 7)) 1/18)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18)) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)) -1/3 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -1/2)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 (cbrt.f64 -2) 2))) 2/9)))) (fma.f64 (fma.f64 1/9 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 10) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 10) 1/18)) (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2) (pow.f64 (cbrt.f64 -2) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18)) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)) -1/3 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -1/2)) (*.f64 (pow.f64 (cbrt.f64 -2) 2) (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))) 2/3)) (*.f64 1/3 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 5) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 5) 1/18)) (*.f64 (cbrt.f64 -2) (cos.f64 (*.f64 1/2 eps))))) (fma.f64 (fma.f64 (cos.f64 (*.f64 1/2 eps)) (-.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) -1/6) (*.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18)) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)) -1/3 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -1/2)) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 (*.f64 1/2 eps))) 1/18) (pow.f64 (/.f64 1 (sin.f64 (*.f64 1/2 eps))) 1/18))))) (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 eps)) 3) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 5)) -1/27))) -2/3 (*.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18)) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)) -1/3 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -1/2)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 (*.f64 1/2 eps))) 1/18) (pow.f64 (/.f64 1 (sin.f64 (*.f64 1/2 eps))) 1/18)) -4/9)))))) (fma.f64 (*.f64 x x) (fma.f64 (cbrt.f64 -2) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (fma.f64 1/9 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 10) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 10) 1/18)) (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2) (pow.f64 (cbrt.f64 -2) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18)) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)) -1/3 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -1/2)) (*.f64 (pow.f64 (cbrt.f64 -2) 2) (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))) 2/3))) (fma.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18)) (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2)) -1/3 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -1/2)) -2/3 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 16) 1/18)) (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2) -4/9)))) (*.f64 -2 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 x (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 17) 1/18) (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 17) 1/18))))))))
(*.f64 -2 (*.f64 (pow.f64 1 1/3) (*.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 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 (fma.f64 1/2 eps (*.f64 1 x))) -2))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps x))))
(*.f64 -2 (*.f64 (pow.f64 1 1/3) (*.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 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 (fma.f64 1/2 eps (*.f64 1 x))) -2))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps x))))
(*.f64 -2 (*.f64 (pow.f64 1 1/3) (*.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 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 (fma.f64 1/2 eps (*.f64 1 x))) -2))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps x))))
(*.f64 -2 (*.f64 (pow.f64 1 1/3) (*.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 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 (fma.f64 1/2 eps (*.f64 1 x))) -2))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps x))))
(*.f64 -2 (*.f64 (pow.f64 1 1/3) (*.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 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 (fma.f64 1/2 eps (*.f64 1 x))) -2))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps x))))
(*.f64 -2 (*.f64 (pow.f64 1 1/3) (*.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 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 (fma.f64 1/2 eps (*.f64 1 x))) -2))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps x))))
(*.f64 -2 (*.f64 (pow.f64 1 1/3) (*.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 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 (fma.f64 1/2 eps (*.f64 1 x))) -2))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps x))))
(*.f64 -2 (*.f64 (pow.f64 1 1/3) (*.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 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 (fma.f64 1/2 eps (*.f64 1 x))) -2))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -2 (sin.f64 (fma.f64 1/2 eps x))))

eval417.0ms (2%)

Compiler

Compiled 15486 to 11792 computations (23.9% saved)

prune547.0ms (2.6%)

Pruning

85 alts after pruning (81 fresh and 4 done)

PrunedKeptTotal
New50923532
Fresh95867
Picked101
Done347
Total52285607
Error
0.1b
Counts
607 → 85
Alt Table
Click to see full alt table
StatusErrorProgram
33.5b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 x)) -2)
27.6b
(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))))))
56.7b
(-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 eps eps))) 1)
✓15.0b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2)
33.8b
(*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x -2)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 x x) -2))))
42.2b
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
35.7b
(fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
37.2b
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) 3) -2)
42.1b
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
29.9b
(*.f64 (+.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps))))) (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/48 (pow.f64 eps 4)) (*.f64 eps (*.f64 eps 1/4))))) -2)
42.3b
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 eps) 1)) 3)
✓42.8b
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
16.3b
(*.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))))
27.5b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
55.8b
(sqrt.f64 (*.f64 4 (log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)))))
✓55.8b
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
42.9b
(-.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 (+.f64 x eps)) 1) 2) 1) (+.f64 (+.f64 (cos.f64 (+.f64 x eps)) 1) 1)) (cos.f64 x))
37.2b
(pow.f64 (*.f64 (cbrt.f64 -2) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) 3)
27.8b
(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)))))
43.0b
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (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)))))
29.6b
(*.f64 (*.f64 eps (+.f64 (*.f64 eps (*.f64 (cos.f64 x) 1/4)) (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps)))))) -2)
37.1b
(pow.f64 (*.f64 (cbrt.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2)))) (cbrt.f64 (sin.f64 (*.f64 eps 1/2)))) 3)
51.4b
(*.f64 eps (*.f64 -1/2 eps))
41.5b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))
27.6b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (expm1.f64 (log1p.f64 (sin.f64 eps)))) (neg.f64 (cos.f64 x)))))
27.6b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))))
27.5b
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
43.6b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 (*.f64 eps eps) eps) 1/2))) -2)
15.7b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (+.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (+.f64 x eps) 1/2))) 3) (cos.f64 (*.f64 x 1/2))) (*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (sin.f64 (*.f64 x 1/2))))) -2)
55.8b
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 2)
55.8b
(sqrt.f64 (log.f64 (exp.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))))
54.8b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (pow.f64 (pow.f64 eps 3) 1/3) 1/2))) -2)
45.1b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (/.f64 eps (*.f64 eps eps))) 1/2))) -2)
22.4b
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x eps) 1/2)) (cos.f64 (*.f64 x 1/2))) 3) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (sin.f64 (*.f64 x 1/2))) 3)) (sin.f64 (*.f64 eps 1/2))) (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x eps) 1/2)) (cos.f64 (*.f64 x 1/2))) 2) (*.f64 (*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (sin.f64 (*.f64 x 1/2))) (-.f64 (*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (sin.f64 (*.f64 x 1/2))) (*.f64 (sin.f64 (*.f64 (+.f64 x eps) 1/2)) (cos.f64 (*.f64 x 1/2))))))) -2)
42.1b
(*.f64 (/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps)))))) -2)
55.8b
(pow.f64 (*.f64 (sqrt.f64 2) (sin.f64 (*.f64 1/2 eps))) 2)
55.8b
(-.f64 (+.f64 1 (*.f64 2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) 1)
43.8b
(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
37.1b
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2) (cbrt.f64 -2)) 3)
43.6b
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
47.3b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (pow.f64 (cbrt.f64 eps) 3) 1/2))) -2)
27.7b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (log.f64 (exp.f64 (sin.f64 eps)))) (neg.f64 (cos.f64 x)))))
34.6b
(*.f64 (*.f64 eps (*.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) -2)
✓42.1b
(-.f64 (cos.f64 eps) 1)
45.8b
(*.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)
42.4b
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 eps) (cos.f64 x))) 3)
46.5b
(-.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (cos.f64 x))
34.6b
(*.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 eps (sin.f64 (*.f64 1/2 x)))) -2)
27.9b
(pow.f64 (cbrt.f64 (-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))) 3)
42.2b
(-.f64 (cos.f64 eps) (cos.f64 x))
55.8b
(sqrt.f64 (-.f64 (+.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) 1))
▶15.2b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (+.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x eps) 1/2)) (cos.f64 (*.f64 x 1/2))) (expm1.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (sin.f64 (*.f64 x 1/2))))))) -2)
35.0b
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x eps) x)))) 3)) -2)
28.1b
(-.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))
42.2b
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (-.f64 (cos.f64 eps) -1))
37.0b
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)) 3)
27.8b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 3))))
35.0b
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (neg.f64 eps))) 3)
27.5b
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
42.9b
(-.f64 (-.f64 (+.f64 (cos.f64 (+.f64 x eps)) 1) 1) (cos.f64 x))
29.6b
(*.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)
51.3b
(*.f64 (exp.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 1/2 eps))))) -2)
29.3b
(*.f64 eps (-.f64 (*.f64 (cos.f64 x) (*.f64 eps -1/2)) (sin.f64 x)))
42.6b
(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)))))
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)
49.1b
(-.f64 (pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 2) (cos.f64 x))
42.3b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 1))
34.6b
(*.f64 (sin.f64 x) (neg.f64 eps))
36.7b
(*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)
51.5b
(pow.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 eps eps))) 3)
40.2b
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3)) -2)
▶42.2b
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
▶40.8b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x eps)) 1/2))) -2)
27.7b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sin.f64 eps)) 3)) (neg.f64 (cos.f64 x)))))
27.7b
(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)))))
34.0b
(*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 x -2) (*.f64 (pow.f64 x 3) 1/3))) (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 x x) -2))))
43.1b
(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
27.6b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3)) (neg.f64 (cos.f64 x)))))
56.4b
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2))
56.2b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (exp.f64 (log.f64 eps)) 1/2))) -2)
▶59.8b
(sqrt.f64 (*.f64 4 (exp.f64 (*.f64 4 (log.f64 (sin.f64 (*.f64 1/2 eps)))))))
55.8b
(sqrt.f64 (*.f64 4 (-.f64 (+.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) 1)))
27.5b
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
48.4b
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
▶57.2b
(*.f64 1/2 (*.f64 eps eps))
Compiler

Compiled 2907 to 2152 computations (26% saved)

localize228.0ms (1.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (sin.f64 (*.f64 x 1/2)))
✓0.3b
(*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (+.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x eps) 1/2)) (cos.f64 (*.f64 x 1/2))) (expm1.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (sin.f64 (*.f64 x 1/2)))))))
2.0b
(cos.f64 (*.f64 (+.f64 x eps) 1/2))
2.0b
(sin.f64 (*.f64 (+.f64 x eps) 1/2))
Compiler

Compiled 202 to 120 computations (40.6% saved)

series3.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
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))) (expm1.f64 (log1p.f64 (*.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))) (expm1.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (sin.f64 (*.f64 x 1/2)))))))
0.0ms
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))) (expm1.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (sin.f64 (*.f64 x 1/2)))))))
0.0ms
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))) (expm1.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (sin.f64 (*.f64 x 1/2)))))))
0.0ms
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))) (expm1.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (sin.f64 (*.f64 x 1/2)))))))

rewrite82.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
512×fma-neg_binary64
358×expm1-udef_binary64
358×log1p-udef_binary64
231×add-sqr-sqrt_binary64
229×pow1_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02145
145420
2646220
Stop Event
1×node limit
Counts
1 → 45
Calls
Call 1
Inputs
(*.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))) (expm1.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (sin.f64 (*.f64 x 1/2)))))))
Outputs
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simplify81.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
663×distribute-rgt-out_binary64
624×distribute-rgt-neg-out_binary64
555×associate-*l*_binary64
545×associate-*r*_binary64
529×distribute-lft-neg-out_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0911095
12831090
29271020
341811013
Stop Event
1×node limit
Counts
69 → 64
Calls
Call 1
Inputs
(*.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)))))
Outputs
(*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 eps (sin.f64 (*.f64 1/2 x))))
(*.f64 eps (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) (*.f64 1/2 (pow.f64 (cos.f64 (*.f64 1/2 x)) 2))))) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 eps (sin.f64 (*.f64 1/2 x)))))
(fma.f64 1/2 (*.f64 (*.f64 eps eps) (fma.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (*.f64 1/2 (pow.f64 (cos.f64 (*.f64 1/2 x)) 2)))) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 eps (sin.f64 (*.f64 1/2 x)))))
(fma.f64 1/2 (*.f64 eps (*.f64 eps (fma.f64 -1/2 (pow.f64 (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 eps (+.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))) (*.f64 1/2 (*.f64 eps (fma.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (*.f64 1/2 (pow.f64 (cos.f64 (*.f64 1/2 x)) 2)))))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2)) (*.f64 1/2 (pow.f64 (cos.f64 (*.f64 1/2 x)) 2))))) (+.f64 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/24 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))) (*.f64 -1/8 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x)))))) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 eps (sin.f64 (*.f64 1/2 x))))))
(fma.f64 1/2 (*.f64 (*.f64 eps eps) (fma.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (*.f64 1/2 (pow.f64 (cos.f64 (*.f64 1/2 x)) 2)))) (fma.f64 (pow.f64 eps 3) (*.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))) -1/6) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 eps (sin.f64 (*.f64 1/2 x))))))
(fma.f64 (*.f64 1/2 (*.f64 eps eps)) (fma.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (*.f64 1/2 (pow.f64 (cos.f64 (*.f64 1/2 x)) 2))) (fma.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 eps (sin.f64 (*.f64 1/2 x))) (*.f64 (pow.f64 eps 3) (*.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) -1/6)))))
(fma.f64 1/2 (*.f64 eps (*.f64 eps (fma.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (*.f64 1/2 (pow.f64 (cos.f64 (*.f64 1/2 x)) 2))))) (*.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))) (+.f64 eps (*.f64 (pow.f64 eps 3) -1/6))))
(fma.f64 (*.f64 eps eps) (*.f64 1/2 (fma.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (*.f64 1/2 (pow.f64 (cos.f64 (*.f64 1/2 x)) 2)))) (*.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))) (+.f64 eps (*.f64 (pow.f64 eps 3) -1/6))))
(+.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)))))))
(fma.f64 (pow.f64 eps 4) (fma.f64 1/2 (fma.f64 -1/48 (pow.f64 (cos.f64 (*.f64 1/2 x)) 2) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) 1/48)) (*.f64 (fma.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (*.f64 1/2 (pow.f64 (cos.f64 (*.f64 1/2 x)) 2))) -1/48)) (fma.f64 1/2 (*.f64 (*.f64 eps eps) (fma.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (*.f64 1/2 (pow.f64 (cos.f64 (*.f64 1/2 x)) 2)))) (fma.f64 (pow.f64 eps 3) (*.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))) -1/6) (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 eps (sin.f64 (*.f64 1/2 x)))))))
(fma.f64 (pow.f64 eps 4) (fma.f64 (fma.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (*.f64 1/2 (pow.f64 (cos.f64 (*.f64 1/2 x)) 2))) -1/48 (+.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) 1/96) (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 x)) 2) -1/96))) (fma.f64 (*.f64 1/2 (*.f64 eps eps)) (fma.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (*.f64 1/2 (pow.f64 (cos.f64 (*.f64 1/2 x)) 2))) (fma.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 eps (sin.f64 (*.f64 1/2 x))) (*.f64 (pow.f64 eps 3) (*.f64 (sin.f64 (*.f64 1/2 x)) (*.f64 (cos.f64 (*.f64 1/2 x)) -1/6))))))
(fma.f64 1/2 (*.f64 eps (*.f64 eps (fma.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (*.f64 1/2 (pow.f64 (cos.f64 (*.f64 1/2 x)) 2))))) (fma.f64 (pow.f64 eps 4) (*.f64 2 (fma.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) 1/96 (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 x)) 2) -1/96))) (*.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))) (+.f64 eps (*.f64 (pow.f64 eps 3) -1/6)))))
(fma.f64 1/2 (*.f64 eps (*.f64 eps (fma.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) (*.f64 1/2 (pow.f64 (cos.f64 (*.f64 1/2 x)) 2))))) (fma.f64 (pow.f64 eps 4) (fma.f64 (pow.f64 (sin.f64 (*.f64 1/2 x)) 2) 1/48 (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 x)) 2) -1/48)) (*.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 x))) (+.f64 eps (*.f64 (pow.f64 eps 3) -1/6)))))
(*.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)) (fma.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 (+.f64 x eps))) (*.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 (+.f64 x eps))))))
(*.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)) (fma.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 (+.f64 x eps))) (*.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 (+.f64 x eps))))))
(*.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)) (fma.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 (+.f64 x eps))) (*.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 (+.f64 x eps))))))
(*.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)) (fma.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 (+.f64 x eps))) (*.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 (+.f64 x eps))))))
(*.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)) (fma.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 (+.f64 x eps))) (*.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 (+.f64 x eps))))))
(*.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)) (fma.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 (+.f64 x eps))) (*.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 (+.f64 x eps))))))
(*.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)) (fma.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 (+.f64 x eps))) (*.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 (+.f64 x eps))))))
(*.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)) (fma.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 (+.f64 x eps))) (*.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 (+.f64 x 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))
(fma.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 x (cos.f64 (*.f64 1/2 eps)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 x (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 x (cos.f64 (*.f64 eps -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 -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 x (cos.f64 (*.f64 1/2 eps))) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 (*.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 x x)))
(fma.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x (cos.f64 (*.f64 1/2 eps))) (fma.f64 -1/2 (*.f64 x (*.f64 x (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(fma.f64 x (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))) (*.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) 1) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(fma.f64 x (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 eps -1/2))) (*.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) 1) (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 (*.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 (fma.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 (sin.f64 (*.f64 1/2 eps)) (*.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) -1/6) (pow.f64 x 3)) (*.f64 (*.f64 -1/2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 x x))))
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x (cos.f64 (*.f64 1/2 eps))))) (fma.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) -1/6) (pow.f64 x 3)) (*.f64 (*.f64 -1/2 (*.f64 x x)) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 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)) (+.f64 (fma.f64 x (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 (pow.f64 x 3) -1/6)))))
(+.f64 (*.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)) (+.f64 (*.f64 x (cos.f64 (*.f64 eps -1/2))) (*.f64 (cos.f64 (*.f64 eps -1/2)) (*.f64 (pow.f64 x 3) -1/6)))))
(*.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)) (fma.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 (+.f64 x eps))) (*.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 (+.f64 x eps))))))
(*.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)) (fma.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 (+.f64 x eps))) (*.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 (+.f64 x eps))))))
(*.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)) (fma.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 (+.f64 x eps))) (*.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 (+.f64 x eps))))))
(*.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)) (fma.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 (+.f64 x eps))) (*.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 (+.f64 x eps))))))
(*.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)) (fma.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 (+.f64 x eps))) (*.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 (+.f64 x eps))))))
(*.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)) (fma.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 (+.f64 x eps))) (*.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 (+.f64 x eps))))))
(*.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)) (fma.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 (+.f64 x eps))) (*.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 (+.f64 x eps))))))
(*.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)) (fma.f64 (cos.f64 (*.f64 1/2 x)) (sin.f64 (*.f64 1/2 (+.f64 x eps))) (*.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 (+.f64 x eps))))))

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiled 12 to 6 computations (50% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite40.0ms (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
211477
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 exp.f64 (log.f64 (*.f64 1/2 (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/2 (*.f64 eps eps))))))))

simplify169.0ms (0.8%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0684
11284
22284
34484
410684
533484
6125984
7213684
8230084
9248484
10269284
11299184
12338484
13386584
14443384
15512184
16595484
17634684
18663684
19691084
20698284
21701884
22795984
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 1/2 (pow.f64 eps 2))
(*.f64 1/2 (*.f64 eps eps))
(*.f64 1/2 (pow.f64 eps 2))
(*.f64 1/2 (*.f64 eps eps))
(*.f64 1/2 (pow.f64 eps 2))
(*.f64 1/2 (*.f64 eps eps))
(*.f64 1/2 (pow.f64 eps 2))
(*.f64 1/2 (*.f64 eps eps))
(*.f64 1/2 (pow.f64 eps 2))
(*.f64 1/2 (*.f64 eps eps))
(*.f64 1/2 (pow.f64 eps 2))
(*.f64 1/2 (*.f64 eps eps))
(*.f64 1/2 (pow.f64 eps 2))
(*.f64 1/2 (*.f64 eps eps))
(*.f64 1/2 (pow.f64 eps 2))
(*.f64 1/2 (*.f64 eps eps))
(*.f64 1/2 (pow.f64 eps 2))
(*.f64 1/2 (*.f64 eps eps))
(*.f64 1/2 (pow.f64 eps 2))
(*.f64 1/2 (*.f64 eps eps))
(*.f64 1/2 (pow.f64 eps 2))
(*.f64 1/2 (*.f64 eps eps))

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(expm1.f64 (+.f64 (cos.f64 eps) -1))
✓0.3b
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
1.1b
(+.f64 (cos.f64 eps) -1)
Compiler

Compiled 21 to 13 computations (38.1% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite51.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

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

simplify128.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

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

localize61.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.3b
(log.f64 (sin.f64 (*.f64 1/2 eps)))
✓0.5b
(exp.f64 (*.f64 4 (log.f64 (sin.f64 (*.f64 1/2 eps)))))
✓4.7b
(sqrt.f64 (*.f64 4 (exp.f64 (*.f64 4 (log.f64 (sin.f64 (*.f64 1/2 eps)))))))
Compiler

Compiled 53 to 45 computations (15.1% saved)

series34.0ms (0.2%)

Counts
3 → 28
Calls

9 calls:

TimeVariablePointExpression
17.0ms
eps
@-inf
(log.f64 (sin.f64 (*.f64 1/2 eps)))
14.0ms
eps
@inf
(log.f64 (sin.f64 (*.f64 1/2 eps)))
1.0ms
eps
@0
(log.f64 (sin.f64 (*.f64 1/2 eps)))
0.0ms
eps
@0
(sqrt.f64 (*.f64 4 (exp.f64 (*.f64 4 (log.f64 (sin.f64 (*.f64 1/2 eps)))))))
0.0ms
eps
@0
(exp.f64 (*.f64 4 (log.f64 (sin.f64 (*.f64 1/2 eps)))))

rewrite70.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
914×pow1_binary64
841×add-log-exp_binary64
841×log1p-expm1-u_binary64
841×expm1-log1p-u_binary64
823×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01139
121531
2234431
Stop Event
1×node limit
Counts
3 → 65
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 4 (exp.f64 (*.f64 4 (log.f64 (sin.f64 (*.f64 1/2 eps)))))))
(exp.f64 (*.f64 4 (log.f64 (sin.f64 (*.f64 1/2 eps)))))
(log.f64 (sin.f64 (*.f64 1/2 eps)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 2 (sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 2 (sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 2 (sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)))) (cbrt.f64 (*.f64 4 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 4 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4))) (cbrt.f64 (*.f64 2 (sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 4 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) 1/4) (pow.f64 (*.f64 4 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) (pow.f64 4 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 4 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 4 1/2) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 2 (sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 4 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 4 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 4 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 (sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 4 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 2 (sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 4 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) 2) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) (sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 4) (log.f64 (sin.f64 (*.f64 1/2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (*.f64 4 (log.f64 (sin.f64 (*.f64 1/2 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (*.f64 16 (pow.f64 (log.f64 (sin.f64 (*.f64 1/2 eps))) 2)))) (cbrt.f64 (*.f64 4 (log.f64 (sin.f64 (*.f64 1/2 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (*.f64 2 (sqrt.f64 (log.f64 (sin.f64 (*.f64 1/2 eps)))))) (*.f64 2 (sqrt.f64 (log.f64 (sin.f64 (*.f64 1/2 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 4) (pow.f64 (cbrt.f64 (log.f64 (sin.f64 (*.f64 1/2 eps)))) 2)) (cbrt.f64 (log.f64 (sin.f64 (*.f64 1/2 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 4) (sqrt.f64 (log.f64 (sin.f64 (*.f64 1/2 eps))))) (sqrt.f64 (log.f64 (sin.f64 (*.f64 1/2 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.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)) 4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (sin.f64 (*.f64 1/2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2)) (log.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 eps)))) (log.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (sin.f64 (*.f64 1/2 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (sin.f64 (*.f64 1/2 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (sin.f64 (*.f64 1/2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (sin.f64 (*.f64 1/2 eps)))) (pow.f64 (cbrt.f64 (log.f64 (sin.f64 (*.f64 1/2 eps)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (sin.f64 (*.f64 1/2 eps)))) 2) (cbrt.f64 (log.f64 (sin.f64 (*.f64 1/2 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (sin.f64 (*.f64 1/2 eps)))) (sqrt.f64 (log.f64 (sin.f64 (*.f64 1/2 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (sin.f64 (*.f64 1/2 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (sin.f64 (*.f64 1/2 eps))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (sin.f64 (*.f64 1/2 eps)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (sin.f64 (*.f64 1/2 eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (sin.f64 (*.f64 1/2 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (sin.f64 (*.f64 1/2 eps))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (sin.f64 (*.f64 1/2 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (sin.f64 (*.f64 1/2 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (sin.f64 (*.f64 1/2 eps)) 1))))))

simplify88.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
976×fma-def_binary64
718×associate-*r*_binary64
608×distribute-lft-out_binary64
439×unswap-sqr_binary64
385×associate-+l+_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
056386
1135382
2344382
31109382
44014382
55872382
66659382
77640382
Stop Event
1×node limit
Counts
93 → 89
Calls
Call 1
Inputs
(*.f64 1/2 (pow.f64 eps 2))
(+.f64 (*.f64 1/2 (pow.f64 eps 2)) (*.f64 -1/24 (pow.f64 eps 4)))
(+.f64 (*.f64 1/2 (pow.f64 eps 2)) (+.f64 (*.f64 -1/24 (pow.f64 eps 4)) (*.f64 1/720 (pow.f64 eps 6))))
(+.f64 (*.f64 -1/40320 (pow.f64 eps 8)) (+.f64 (*.f64 1/2 (pow.f64 eps 2)) (+.f64 (*.f64 -1/24 (pow.f64 eps 4)) (*.f64 1/720 (pow.f64 eps 6)))))
(*.f64 2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(*.f64 2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(*.f64 2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(*.f64 2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(*.f64 2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(*.f64 2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(*.f64 2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(*.f64 2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(*.f64 1/16 (pow.f64 eps 4))
(+.f64 (*.f64 -1/96 (pow.f64 eps 6)) (*.f64 1/16 (pow.f64 eps 4)))
(+.f64 (*.f64 1/1280 (pow.f64 eps 8)) (+.f64 (*.f64 -1/96 (pow.f64 eps 6)) (*.f64 1/16 (pow.f64 eps 4))))
(+.f64 (*.f64 1/1280 (pow.f64 eps 8)) (+.f64 (*.f64 -1/96 (pow.f64 eps 6)) (+.f64 (*.f64 -17/483840 (pow.f64 eps 10)) (*.f64 1/16 (pow.f64 eps 4)))))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)
(+.f64 (log.f64 eps) (log.f64 1/2))
(+.f64 (*.f64 -1/24 (pow.f64 eps 2)) (+.f64 (log.f64 eps) (log.f64 1/2)))
(+.f64 (*.f64 -1/24 (pow.f64 eps 2)) (+.f64 (log.f64 eps) (+.f64 (log.f64 1/2) (*.f64 -1/2880 (pow.f64 eps 4)))))
(+.f64 (*.f64 -1/24 (pow.f64 eps 2)) (+.f64 (*.f64 -1/181440 (pow.f64 eps 6)) (+.f64 (log.f64 eps) (+.f64 (log.f64 1/2) (*.f64 -1/2880 (pow.f64 eps 4))))))
Outputs
(*.f64 1/2 (pow.f64 eps 2))
(*.f64 1/2 (*.f64 eps eps))
(+.f64 (*.f64 1/2 (pow.f64 eps 2)) (*.f64 -1/24 (pow.f64 eps 4)))
(fma.f64 1/2 (*.f64 eps eps) (*.f64 -1/24 (pow.f64 eps 4)))
(*.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps -1/24) 1/2))
(*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps -1/24) 1/2)))
(+.f64 (*.f64 1/2 (pow.f64 eps 2)) (+.f64 (*.f64 -1/24 (pow.f64 eps 4)) (*.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 1/2 (*.f64 eps eps) (fma.f64 1/720 (pow.f64 eps 6) (*.f64 -1/24 (pow.f64 eps 4))))
(+.f64 (*.f64 -1/40320 (pow.f64 eps 8)) (+.f64 (*.f64 1/2 (pow.f64 eps 2)) (+.f64 (*.f64 -1/24 (pow.f64 eps 4)) (*.f64 1/720 (pow.f64 eps 6)))))
(fma.f64 -1/40320 (pow.f64 eps 8) (fma.f64 1/2 (*.f64 eps eps) (fma.f64 -1/24 (pow.f64 eps 4) (*.f64 1/720 (pow.f64 eps 6)))))
(fma.f64 -1/40320 (pow.f64 eps 8) (fma.f64 1/2 (*.f64 eps eps) (fma.f64 1/720 (pow.f64 eps 6) (*.f64 -1/24 (pow.f64 eps 4)))))
(fma.f64 1/2 (*.f64 eps eps) (fma.f64 -1/24 (pow.f64 eps 4) (fma.f64 1/720 (pow.f64 eps 6) (*.f64 -1/40320 (pow.f64 eps 8)))))
(*.f64 2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(*.f64 2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(*.f64 2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(*.f64 2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(*.f64 2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(*.f64 2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(*.f64 2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(*.f64 2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(*.f64 1/16 (pow.f64 eps 4))
(*.f64 (pow.f64 eps 4) 1/16)
(+.f64 (*.f64 -1/96 (pow.f64 eps 6)) (*.f64 1/16 (pow.f64 eps 4)))
(fma.f64 -1/96 (pow.f64 eps 6) (*.f64 (pow.f64 eps 4) 1/16))
(fma.f64 (pow.f64 eps 4) 1/16 (*.f64 (pow.f64 eps 6) -1/96))
(+.f64 (*.f64 1/1280 (pow.f64 eps 8)) (+.f64 (*.f64 -1/96 (pow.f64 eps 6)) (*.f64 1/16 (pow.f64 eps 4))))
(fma.f64 1/1280 (pow.f64 eps 8) (fma.f64 -1/96 (pow.f64 eps 6) (*.f64 (pow.f64 eps 4) 1/16)))
(fma.f64 (pow.f64 eps 8) 1/1280 (fma.f64 (pow.f64 eps 4) 1/16 (*.f64 (pow.f64 eps 6) -1/96)))
(fma.f64 (pow.f64 eps 4) 1/16 (fma.f64 (pow.f64 eps 8) 1/1280 (*.f64 (pow.f64 eps 6) -1/96)))
(fma.f64 (pow.f64 eps 4) 1/16 (fma.f64 (pow.f64 eps 6) -1/96 (*.f64 (pow.f64 eps 8) 1/1280)))
(+.f64 (*.f64 1/1280 (pow.f64 eps 8)) (+.f64 (*.f64 -1/96 (pow.f64 eps 6)) (+.f64 (*.f64 -17/483840 (pow.f64 eps 10)) (*.f64 1/16 (pow.f64 eps 4)))))
(fma.f64 1/1280 (pow.f64 eps 8) (fma.f64 -1/96 (pow.f64 eps 6) (fma.f64 -17/483840 (pow.f64 eps 10) (*.f64 (pow.f64 eps 4) 1/16))))
(fma.f64 (pow.f64 eps 8) 1/1280 (fma.f64 (pow.f64 eps 6) -1/96 (fma.f64 -17/483840 (pow.f64 eps 10) (*.f64 (pow.f64 eps 4) 1/16))))
(fma.f64 (pow.f64 eps 8) 1/1280 (fma.f64 (pow.f64 eps 4) 1/16 (fma.f64 (pow.f64 eps 6) -1/96 (*.f64 -17/483840 (pow.f64 eps 10)))))
(fma.f64 (pow.f64 eps 4) 1/16 (fma.f64 (pow.f64 eps 6) -1/96 (fma.f64 (pow.f64 eps 8) 1/1280 (*.f64 -17/483840 (pow.f64 eps 10)))))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)
(+.f64 (log.f64 eps) (log.f64 1/2))
(+.f64 (*.f64 -1/24 (pow.f64 eps 2)) (+.f64 (log.f64 eps) (log.f64 1/2)))
(fma.f64 -1/24 (*.f64 eps eps) (+.f64 (log.f64 eps) (log.f64 1/2)))
(+.f64 (log.f64 1/2) (fma.f64 (*.f64 eps eps) -1/24 (log.f64 eps)))
(+.f64 (log.f64 eps) (fma.f64 (*.f64 eps eps) -1/24 (log.f64 1/2)))
(+.f64 (log.f64 eps) (fma.f64 eps (*.f64 eps -1/24) (log.f64 1/2)))
(+.f64 (*.f64 -1/24 (pow.f64 eps 2)) (+.f64 (log.f64 eps) (+.f64 (log.f64 1/2) (*.f64 -1/2880 (pow.f64 eps 4)))))
(fma.f64 -1/24 (*.f64 eps eps) (+.f64 (log.f64 eps) (+.f64 (log.f64 1/2) (*.f64 (pow.f64 eps 4) -1/2880))))
(+.f64 (fma.f64 (pow.f64 eps 4) -1/2880 (log.f64 1/2)) (fma.f64 (*.f64 eps eps) -1/24 (log.f64 eps)))
(+.f64 (fma.f64 (*.f64 eps eps) -1/24 (log.f64 1/2)) (fma.f64 (pow.f64 eps 4) -1/2880 (log.f64 eps)))
(+.f64 (log.f64 eps) (fma.f64 eps (*.f64 eps -1/24) (fma.f64 (pow.f64 eps 4) -1/2880 (log.f64 1/2))))
(+.f64 (*.f64 -1/24 (pow.f64 eps 2)) (+.f64 (*.f64 -1/181440 (pow.f64 eps 6)) (+.f64 (log.f64 eps) (+.f64 (log.f64 1/2) (*.f64 -1/2880 (pow.f64 eps 4))))))
(fma.f64 -1/24 (*.f64 eps eps) (fma.f64 -1/181440 (pow.f64 eps 6) (+.f64 (log.f64 eps) (+.f64 (log.f64 1/2) (*.f64 (pow.f64 eps 4) -1/2880)))))
(fma.f64 (*.f64 eps eps) -1/24 (+.f64 (fma.f64 (pow.f64 eps 4) -1/2880 (log.f64 1/2)) (fma.f64 (pow.f64 eps 6) -1/181440 (log.f64 eps))))
(fma.f64 (pow.f64 eps 6) -1/181440 (+.f64 (fma.f64 (*.f64 eps eps) -1/24 (log.f64 1/2)) (fma.f64 (pow.f64 eps 4) -1/2880 (log.f64 eps))))
(+.f64 (log.f64 eps) (fma.f64 eps (*.f64 eps -1/24) (fma.f64 (pow.f64 eps 4) -1/2880 (fma.f64 (pow.f64 eps 6) -1/181440 (log.f64 1/2)))))

localize116.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x eps)) 1/2))) -2)
✓0.0b
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x eps))
✓0.1b
(*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x eps)) 1/2)))
✓0.9b
(sin.f64 (*.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x eps)) 1/2))
Compiler

Compiled 105 to 35 computations (66.7% saved)

series15.0ms (0.1%)

Counts
4 → 82
Calls

24 calls:

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

rewrite71.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
557×fma-def_binary64
552×log-prod_binary64
266×fma-neg_binary64
222×expm1-udef_binary64
222×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01668
136128
2504728
Stop Event
1×node limit
Counts
4 → 129
Calls
Call 1
Inputs
(sin.f64 (*.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x eps)) 1/2))
(*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x eps)) 1/2)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x eps))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x eps)) 1/2))) -2)
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 (*.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 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 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 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 (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 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 log1p.f64 (expm1.f64 (sin.f64 (*.f64 1/2 eps))))))))
((#(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 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))))) (#(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 1/2 (*.f64 1/2 (cos.f64 (*.f64 1/2 (+.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1/2 (/.f64 (cos.f64 (*.f64 1/2 (+.f64 eps eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 2 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps 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 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 2))))) (#(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 log.f64 (+.f64 1 (expm1.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 exp.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 1/2 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 1/2 eps)))) 1))))) (#(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 +.f64 x (+.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (-.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x eps) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x eps) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 eps)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 eps 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 eps (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 eps (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 eps (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 eps)) (cbrt.f64 (exp.f64 eps)))) (log.f64 (cbrt.f64 (exp.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 eps))) (log.f64 (sqrt.f64 (exp.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x eps) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 eps 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 eps (/.f64 0 eps))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 eps)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps eps) (/.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 eps) (sqrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 eps 3) (/.f64 1 (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 x eps)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 x eps)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 eps eps) (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 eps (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps eps) eps)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 eps 3) (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 eps eps)) (neg.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 eps 3)) (neg.f64 (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x eps) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (+.f64 x eps) 2) (fma.f64 x x (*.f64 (+.f64 x eps) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x eps) 3)) (fma.f64 x x (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x)) eps)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (*.f64 eps eps)) (-.f64 0 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x eps) 2)) (-.f64 x (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 eps 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 eps) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 eps) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 eps 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (+.f64 x eps))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (+.f64 x eps)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 x eps)) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x eps))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 x eps)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 x eps)) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x eps))) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 x eps)) (/.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x eps))) (/.f64 1 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 eps 3))))) (#(struct:change #<rule egg-rr> (2) ((x . eps)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 eps))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (cbrt.f64 (pow.f64 (exp.f64 -2) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps)))) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sqrt.f64 -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)))))))

simplify75.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
558×distribute-rgt-neg-out_binary64
554×fma-def_binary64
551×fma-neg_binary64
462×distribute-rgt-out_binary64
451×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0941582
12611334
27821212
334071201
Stop Event
1×node limit
Counts
211 → 181
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)))
(sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (fma.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 x)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 x)) (-.f64 eps (*.f64 -1 x)))))
(sin.f64 (*.f64 1/2 (fma.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 x)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 x)) (-.f64 eps (*.f64 -1 x)))))
(sin.f64 (*.f64 1/2 (fma.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 x)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 x)) (-.f64 eps (*.f64 -1 x)))))
(sin.f64 (*.f64 1/2 (fma.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 x)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 x)) (-.f64 eps (*.f64 -1 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 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 x (*.f64 -1 eps)))))
(sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 x (*.f64 -1 eps)))))
(sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 x (*.f64 -1 eps)))))
(sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 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 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 x (*.f64 -1 eps))))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 x (*.f64 -1 eps))))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 x (*.f64 -1 eps))))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 x (*.f64 -1 eps))))) (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 (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 x)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 x)) (-.f64 eps (*.f64 -1 x))))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 x)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 x)) (-.f64 eps (*.f64 -1 x))))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 x)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 x)) (-.f64 eps (*.f64 -1 x))))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 x)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 x)) (-.f64 eps (*.f64 -1 x))))) (sin.f64 (*.f64 1/2 eps)))
eps
(+.f64 eps x)
x
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)
(*.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 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x)))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x)))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x)))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x)))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 x (*.f64 -1 eps))))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 x (*.f64 -1 eps))))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 x (*.f64 -1 eps))))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 x (*.f64 -1 eps))))) (sin.f64 (*.f64 1/2 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 -1 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x)))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x)))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x)))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x)))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 x)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 x)) (-.f64 eps (*.f64 -1 x))))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 x)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 x)) (-.f64 eps (*.f64 -1 x))))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 x)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 x)) (-.f64 eps (*.f64 -1 x))))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 x)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 x)) (-.f64 eps (*.f64 -1 x))))) (sin.f64 (*.f64 1/2 eps))))
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)))
(fma.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 1/2 x) (sin.f64 (*.f64 1/2 eps)))
(sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (*.f64 1/2 (fma.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 x)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 x)) (-.f64 eps (*.f64 -1 x)))))
(sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (*.f64 1/2 (fma.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 x)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 x)) (-.f64 eps (*.f64 -1 x)))))
(sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (*.f64 1/2 (fma.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 x)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 x)) (-.f64 eps (*.f64 -1 x)))))
(sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (*.f64 1/2 (fma.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 x)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 x)) (-.f64 eps (*.f64 -1 x)))))
(sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(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)) (fma.f64 (sin.f64 x) (*.f64 -1/8 (*.f64 eps eps)) (sin.f64 x)))
(fma.f64 1/2 (*.f64 eps (cos.f64 x)) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 eps eps)) 1) (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)))
(sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 x (*.f64 -1 eps)))))
(sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 x (*.f64 -1 eps)))))
(sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 x (*.f64 -1 eps)))))
(sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 x (*.f64 -1 eps)))))
(sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(*.f64 1/2 (*.f64 eps (sin.f64 x)))
(*.f64 (*.f64 1/2 eps) (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 (*.f64 1/2 eps) (sin.f64 x)))
(fma.f64 1/2 (*.f64 eps (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 (*.f64 eps eps) 1/4)))
(fma.f64 (cos.f64 x) (*.f64 eps (*.f64 eps 1/4)) (*.f64 1/2 (*.f64 eps (sin.f64 x))))
(*.f64 eps (+.f64 (*.f64 1/2 (sin.f64 x)) (*.f64 eps (*.f64 (cos.f64 x) 1/4))))
(+.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 (*.f64 1/2 eps) (sin.f64 x))))
(fma.f64 (*.f64 (*.f64 eps eps) 1/4) (cos.f64 x) (fma.f64 1/2 (*.f64 eps (sin.f64 x)) (*.f64 (sin.f64 x) (*.f64 -1/12 (pow.f64 eps 3)))))
(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)))))
(+.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 (*.f64 1/2 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 1/2 (*.f64 eps (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/48 (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 (*.f64 eps eps) 1/4) (*.f64 -1/48 (pow.f64 eps 4)))))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 x (*.f64 -1 eps))))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 x (*.f64 -1 eps))))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 x (*.f64 -1 eps))))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 x (*.f64 -1 eps))))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 x 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))))
(fma.f64 1/2 (*.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)) (*.f64 1/2 x) (sin.f64 (*.f64 1/2 eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (sin.f64 (*.f64 1/2 eps))))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 x)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 x)) (-.f64 eps (*.f64 -1 x))))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 x)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 x)) (-.f64 eps (*.f64 -1 x))))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 x)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 x)) (-.f64 eps (*.f64 -1 x))))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 x)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 x)) (-.f64 eps (*.f64 -1 x))))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))
eps
(+.f64 eps x)
x
x
(*.f64 2 x)
(*.f64 x 2)
(+.f64 x x)
(+.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)
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(*.f64 (neg.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 eps (sin.f64 (neg.f64 x)))
(+.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 (cos.f64 x) (*.f64 (*.f64 eps eps) -1/2)) (*.f64 eps (sin.f64 x)))
(-.f64 (*.f64 eps (*.f64 eps (*.f64 (cos.f64 x) -1/2))) (*.f64 eps (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 (*.f64 (cos.f64 x) -1/2) 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)))))))
(fma.f64 -1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (fma.f64 -1 (*.f64 eps (sin.f64 x)) (*.f64 (*.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) -1/12)) -2)))
(fma.f64 (*.f64 (*.f64 eps eps) -1/2) (cos.f64 x) (-.f64 (*.f64 (pow.f64 eps 3) (*.f64 (*.f64 (sin.f64 x) -1/12) -2)) (*.f64 eps (sin.f64 x))))
(-.f64 (fma.f64 (cos.f64 x) (*.f64 eps (*.f64 eps -1/2)) (*.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) 1/6))) (*.f64 eps (sin.f64 x)))
(fma.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) 1/6) (*.f64 eps (-.f64 (*.f64 (*.f64 (cos.f64 x) -1/2) eps) (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 (cos.f64 x) (*.f64 eps eps)) (fma.f64 -1 (*.f64 eps (sin.f64 x)) (*.f64 (*.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) -1/12)) -2))))
(+.f64 (-.f64 (*.f64 (pow.f64 eps 3) (*.f64 (*.f64 (sin.f64 x) -1/12) -2)) (*.f64 eps (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (pow.f64 eps 4) 1/24) (*.f64 (*.f64 eps eps) -1/2))))
(fma.f64 (cos.f64 x) (fma.f64 (pow.f64 eps 4) 1/24 (*.f64 eps (*.f64 eps -1/2))) (-.f64 (*.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) 1/6)) (*.f64 eps (sin.f64 x))))
(fma.f64 (cos.f64 x) (fma.f64 (pow.f64 eps 4) 1/24 (*.f64 eps (*.f64 eps -1/2))) (*.f64 (sin.f64 x) (-.f64 (*.f64 (*.f64 (pow.f64 eps 3) -1/12) -2) eps)))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x)))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x))))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x)))) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) -2))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x)))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x))))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x)))) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) -2))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x)))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x))))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x)))) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) -2))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x)))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x))))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x)))) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) -2))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 x (*.f64 -1 eps))))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x))))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x)))) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) -2))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 x (*.f64 -1 eps))))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x))))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x)))) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) -2))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 x (*.f64 -1 eps))))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x))))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x)))) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) -2))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 x (*.f64 -1 eps))))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x))))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x)))) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) -2))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)
(+.f64 (*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 -1 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x))))
(fma.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (neg.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x))))
(-.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2) (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (-.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) -2) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x)))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x))))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x)))) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) -2))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x)))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x))))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x)))) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) -2))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x)))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x))))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x)))) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) -2))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x)))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x))))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x)))) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) -2))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 x)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 x)) (-.f64 eps (*.f64 -1 x))))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x))))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x)))) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) -2))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 x)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 x)) (-.f64 eps (*.f64 -1 x))))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x))))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x)))) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) -2))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 x)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 x)) (-.f64 eps (*.f64 -1 x))))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x))))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x)))) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) -2))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 x)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 x)) (-.f64 eps (*.f64 -1 x))))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 (*.f64 -2 (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x))))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x)))) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) -2))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2))

eval427.0ms (2%)

Compiler

Compiled 13359 to 9445 computations (29.3% saved)

prune315.0ms (1.5%)

Pruning

84 alts after pruning (78 fresh and 6 done)

PrunedKeptTotal
New54818566
Fresh166076
Picked101
Done268
Total56784651
Error
0.1b
Counts
651 → 84
Alt Table
Click to see full alt table
StatusErrorProgram
42.2b
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
53.8b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 x 1/2))) -2)
33.5b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 x)) -2)
27.6b
(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))))))
56.7b
(-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 eps eps))) 1)
✓15.0b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2)
33.8b
(*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x -2)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 x x) -2))))
35.7b
(fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
42.1b
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
37.2b
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) 3) -2)
✓42.8b
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
29.6b
(*.f64 (*.f64 eps (+.f64 (*.f64 eps (*.f64 (cos.f64 x) 1/4)) (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 (*.f64 eps eps) -1/12))))) -2)
42.3b
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 eps) 1)) 3)
16.3b
(*.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))))
27.5b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
35.5b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 eps x) 1/2))) -2)
42.9b
(-.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 (+.f64 x eps)) 1) 2) 1) (+.f64 (+.f64 (cos.f64 (+.f64 x eps)) 1) 1)) (cos.f64 x))
37.2b
(pow.f64 (*.f64 (cbrt.f64 -2) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) 3)
27.8b
(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)))))
29.3b
(*.f64 eps (-.f64 (*.f64 (*.f64 (cos.f64 x) -1/2) eps) (sin.f64 x)))
43.0b
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (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)))))
37.1b
(pow.f64 (*.f64 (cbrt.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2)))) (cbrt.f64 (sin.f64 (*.f64 eps 1/2)))) 3)
51.4b
(*.f64 eps (*.f64 -1/2 eps))
41.5b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))
27.6b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (expm1.f64 (log1p.f64 (sin.f64 eps)))) (neg.f64 (cos.f64 x)))))
27.6b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))))
55.9b
(log1p.f64 (sqrt.f64 (pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 2)))
55.8b
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 2)
27.5b
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
15.7b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (+.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (+.f64 x eps) 1/2))) 3) (cos.f64 (*.f64 x 1/2))) (*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (sin.f64 (*.f64 x 1/2))))) -2)
54.8b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (pow.f64 (pow.f64 eps 3) 1/3) 1/2))) -2)
22.4b
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x eps) 1/2)) (cos.f64 (*.f64 x 1/2))) 3) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (sin.f64 (*.f64 x 1/2))) 3)) (sin.f64 (*.f64 eps 1/2))) (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x eps) 1/2)) (cos.f64 (*.f64 x 1/2))) 2) (*.f64 (*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (sin.f64 (*.f64 x 1/2))) (-.f64 (*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (sin.f64 (*.f64 x 1/2))) (*.f64 (sin.f64 (*.f64 (+.f64 x eps) 1/2)) (cos.f64 (*.f64 x 1/2))))))) -2)
40.2b
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3)) -2)
45.1b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (/.f64 eps (*.f64 eps eps))) 1/2))) -2)
42.1b
(*.f64 (/.f64 1 (/.f64 2 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps)))))) -2)
55.8b
(-.f64 (+.f64 1 (*.f64 2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) 1)
43.6b
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
42.4b
(log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) 3))
43.8b
(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
37.1b
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2) (cbrt.f64 -2)) 3)
55.8b
(sqrt.f64 (*.f64 4 (-.f64 (+.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) 1)))
48.4b
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
34.6b
(*.f64 (*.f64 eps (*.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) -2)
✓42.1b
(-.f64 (cos.f64 eps) 1)
45.8b
(*.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)
56.2b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (exp.f64 (log.f64 eps)) 1/2))) -2)
27.7b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (log.f64 (exp.f64 (sin.f64 eps)))) (neg.f64 (cos.f64 x)))))
42.4b
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 eps) (cos.f64 x))) 3)
46.5b
(-.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (cos.f64 x))
40.8b
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x)))) (sin.f64 (*.f64 1/2 eps))) -2)
34.6b
(*.f64 (*.f64 (cos.f64 (*.f64 1/2 x)) (*.f64 eps (sin.f64 (*.f64 1/2 x)))) -2)
27.9b
(pow.f64 (cbrt.f64 (-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))) 3)
42.2b
(-.f64 (cos.f64 eps) (cos.f64 x))
35.0b
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x eps) x)))) 3)) -2)
28.1b
(-.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))
37.0b
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)) 3)
27.8b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 3))))
35.0b
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (neg.f64 eps))) 3)
27.5b
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
42.9b
(-.f64 (-.f64 (+.f64 (cos.f64 (+.f64 x eps)) 1) 1) (cos.f64 x))
29.6b
(*.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)
51.3b
(*.f64 (exp.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 1/2 eps))))) -2)
43.6b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 (*.f64 eps eps) eps) 1/2))) -2)
42.6b
(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)))))
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)
47.3b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (pow.f64 (cbrt.f64 eps) 3) 1/2))) -2)
29.9b
(*.f64 (+.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 (*.f64 eps eps) -1/12)))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (*.f64 eps eps) 1/4) (*.f64 -1/48 (pow.f64 eps 4))))) -2)
49.1b
(-.f64 (pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 2) (cos.f64 x))
42.3b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 1))
34.6b
(*.f64 (sin.f64 x) (neg.f64 eps))
36.7b
(*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)
51.5b
(pow.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 eps eps))) 3)
✓42.2b
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
27.7b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sin.f64 eps)) 3)) (neg.f64 (cos.f64 x)))))
27.7b
(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)))))
34.0b
(*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 x -2) (*.f64 (pow.f64 x 3) 1/3))) (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 x x) -2))))
43.1b
(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
27.6b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3)) (neg.f64 (cos.f64 x)))))
56.4b
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 2))
15.2b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (+.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x eps) 1/2)) (cos.f64 (*.f64 x 1/2))) (expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))))) -2)
✓59.8b
(sqrt.f64 (*.f64 4 (exp.f64 (*.f64 4 (log.f64 (sin.f64 (*.f64 1/2 eps)))))))
27.5b
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
42.2b
(/.f64 (-.f64 1 (pow.f64 (cos.f64 eps) 2)) (-.f64 -1 (cos.f64 eps)))
✓57.2b
(*.f64 1/2 (*.f64 eps eps))
Compiler

Compiled 1471 to 1085 computations (26.2% saved)

regimes812.0ms (3.8%)

Counts
141 → 3
Calls
Call 1
Inputs
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 1/2 (*.f64 eps eps))
(*.f64 -1/2 (*.f64 eps eps))
(-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 eps eps))) 1)
(-.f64 (cos.f64 eps) 1)
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 eps (*.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 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 1/2 eps)) 2) 2)
(*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)
(pow.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 eps eps))) 3)
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)
(*.f64 eps (-.f64 (*.f64 (*.f64 (cos.f64 x) -1/2) eps) (sin.f64 x)))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
(-.f64 (-.f64 (+.f64 (cos.f64 (+.f64 x eps)) 1) 1) (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 1 (*.f64 2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) 1)
(*.f64 (*.f64 eps (*.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) -2)
(*.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 x 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 eps x) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 (*.f64 eps eps) eps) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 (*.f64 eps eps) eps) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2)
(*.f64 (*.f64 eps (+.f64 (*.f64 eps (*.f64 (cos.f64 x) 1/4)) (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 (*.f64 eps eps) -1/12))))) -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)
(*.f64 (*.f64 eps (+.f64 (*.f64 eps (*.f64 (cos.f64 x) 1/4)) (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps)))))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (/.f64 eps (*.f64 eps eps))) 1/2))) -2)
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
(pow.f64 (cbrt.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 (sin.f64 x) (neg.f64 eps))) 3)
(pow.f64 (*.f64 (sqrt.f64 2) (sin.f64 (*.f64 1/2 eps))) 2)
(*.f64 (exp.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 1/2 eps))))) -2)
(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 eps) 2)) (-.f64 -1 (cos.f64 eps)))
(sqrt.f64 (-.f64 (+.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) 1))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (-.f64 (cos.f64 eps) -1))
(sqrt.f64 (*.f64 4 (-.f64 (+.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) 1)))
(sqrt.f64 (*.f64 4 (-.f64 (+.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) 1)))
(*.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 (sqrt.f64 (*.f64 eps eps)) 1/2))) -2)
(*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x -2)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 x x) -2))))
(*.f64 (+.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 (*.f64 eps eps) -1/12)))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (*.f64 eps eps) 1/4) (*.f64 -1/48 (pow.f64 eps 4))))) -2)
(*.f64 (+.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps))))) (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/48 (pow.f64 eps 4)) (*.f64 eps (*.f64 eps 1/4))))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (fma.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (/.f64 1 (-.f64 x eps)) (neg.f64 x)) 1/2))) -2)
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 eps) (cos.f64 x))) 3)
(-.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (cos.f64 x))
(-.f64 (pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 2) (cos.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3))
(-.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3)) (cos.f64 x))
(-.f64 (pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 2) (cos.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
(-.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))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) 3) -2)
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3)) -2)
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(sqrt.f64 (*.f64 4 (exp.f64 (*.f64 4 (log.f64 (sin.f64 (*.f64 1/2 eps)))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) 3) -2)
(sqrt.f64 (*.f64 4 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 2)))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)) 3)
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3)) -2)
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (exp.f64 (log.f64 eps)) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (exp.f64 (log.f64 eps)) 1/2))) -2)
(-.f64 (-.f64 (*.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1)) (*.f64 eps (sin.f64 x))) (cos.f64 x))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (pow.f64 (cbrt.f64 eps) 3) 1/2))) -2)
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x eps) x)))) 3)) -2)
(*.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 (*.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)) (sin.f64 (*.f64 (pow.f64 (pow.f64 eps 3) 1/3) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (pow.f64 (pow.f64 eps 3) 1/3) 1/2))) -2)
(-.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 (+.f64 x eps)) 1) 2) 1) (+.f64 (+.f64 (cos.f64 (+.f64 x eps)) 1) 1)) (cos.f64 x))
(*.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 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps))))) (sqrt.f64 2))) -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 1/2 eps)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 x -2) (*.f64 (pow.f64 x 3) 1/3))) (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 x x) -2))))
(log1p.f64 (sqrt.f64 (pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 2)))
(log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) 3))
(sqrt.f64 (log.f64 (exp.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))))
(sqrt.f64 (*.f64 4 (log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)))))
(pow.f64 (*.f64 (cbrt.f64 -2) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) 3)
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2) (cbrt.f64 -2)) 3)
(-.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 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(pow.f64 (*.f64 (cbrt.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2)))) (cbrt.f64 (sin.f64 (*.f64 eps 1/2)))) 3)
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x)))) (sin.f64 (*.f64 1/2 eps))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x eps)) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (+.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x eps) 1/2)) (cos.f64 (*.f64 x 1/2))) (*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (sin.f64 (*.f64 x 1/2))))) -2)
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)) 3)
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))))
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (cos.f64 x))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(pow.f64 (cbrt.f64 (*.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))))) 3)
(fma.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 (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))))))
(pow.f64 (cbrt.f64 (-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))) 3)
(*.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))) (expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))))) -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))) (expm1.f64 (log1p.f64 (*.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 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (+.f64 x eps) 1/2))) 3) (cos.f64 (*.f64 x 1/2))) (*.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 -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 (*.f64 (sin.f64 x) (expm1.f64 (log1p.f64 (sin.f64 eps)))) (neg.f64 (cos.f64 x)))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (log.f64 (exp.f64 (sin.f64 eps)))) (neg.f64 (cos.f64 x)))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sin.f64 eps)) 3)) (neg.f64 (cos.f64 x)))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) 3) (neg.f64 (cos.f64 x)))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3)) (neg.f64 (cos.f64 x)))))
(log.f64 (/.f64 (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 (cbrt.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 3))))
(fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) 2) 3) (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (+.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))))))) -2)
(-.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)))))
(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)))))
(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)))))
(-.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))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (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)))))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x eps) 1/2)) (cos.f64 (*.f64 x 1/2))) 3) (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (sin.f64 (*.f64 x 1/2))) 3)) (sin.f64 (*.f64 eps 1/2))) (+.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x eps) 1/2)) (cos.f64 (*.f64 x 1/2))) 2) (*.f64 (*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (sin.f64 (*.f64 x 1/2))) (-.f64 (*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (sin.f64 (*.f64 x 1/2))) (*.f64 (sin.f64 (*.f64 (+.f64 x eps) 1/2)) (cos.f64 (*.f64 x 1/2))))))) -2)
Outputs
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (expm1.f64 (log1p.f64 (sin.f64 eps)))) (neg.f64 (cos.f64 x)))))
(+.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)) (*.f64 (cos.f64 x) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (*.f64 eps eps)))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
Calls

4 calls:

216.0ms
x
214.0ms
eps
163.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
107.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
ErrorSegmentsBranch
11.5b3x
0.4b3eps
7.8b3(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
7.8b3(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 2222 to 1171 computations (47.3% saved)

bsearch110.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
53.0ms
0.00041460310136284405
0.05290954061673768
56.0ms
-8152.145194869988
-2.977704639659895e-9
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes847.0ms (4%)

Counts
123 → 3
Calls
Call 1
Inputs
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 1/2 (*.f64 eps eps))
(*.f64 -1/2 (*.f64 eps eps))
(-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 eps eps))) 1)
(-.f64 (cos.f64 eps) 1)
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 eps (*.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 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 1/2 eps)) 2) 2)
(*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)
(pow.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 eps eps))) 3)
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)
(*.f64 eps (-.f64 (*.f64 (*.f64 (cos.f64 x) -1/2) eps) (sin.f64 x)))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
(-.f64 (-.f64 (+.f64 (cos.f64 (+.f64 x eps)) 1) 1) (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 1 (*.f64 2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) 1)
(*.f64 (*.f64 eps (*.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) -2)
(*.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 x 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 eps x) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 (*.f64 eps eps) eps) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 (*.f64 eps eps) eps) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2)
(*.f64 (*.f64 eps (+.f64 (*.f64 eps (*.f64 (cos.f64 x) 1/4)) (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 (*.f64 eps eps) -1/12))))) -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)
(*.f64 (*.f64 eps (+.f64 (*.f64 eps (*.f64 (cos.f64 x) 1/4)) (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps)))))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (/.f64 eps (*.f64 eps eps))) 1/2))) -2)
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
(pow.f64 (cbrt.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 (sin.f64 x) (neg.f64 eps))) 3)
(pow.f64 (*.f64 (sqrt.f64 2) (sin.f64 (*.f64 1/2 eps))) 2)
(*.f64 (exp.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 1/2 eps))))) -2)
(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 eps) 2)) (-.f64 -1 (cos.f64 eps)))
(sqrt.f64 (-.f64 (+.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) 1))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (-.f64 (cos.f64 eps) -1))
(sqrt.f64 (*.f64 4 (-.f64 (+.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) 1)))
(sqrt.f64 (*.f64 4 (-.f64 (+.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) 1)))
(*.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 (sqrt.f64 (*.f64 eps eps)) 1/2))) -2)
(*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x -2)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 x x) -2))))
(*.f64 (+.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 (*.f64 eps eps) -1/12)))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (*.f64 eps eps) 1/4) (*.f64 -1/48 (pow.f64 eps 4))))) -2)
(*.f64 (+.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps))))) (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/48 (pow.f64 eps 4)) (*.f64 eps (*.f64 eps 1/4))))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (fma.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (/.f64 1 (-.f64 x eps)) (neg.f64 x)) 1/2))) -2)
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 eps) (cos.f64 x))) 3)
(-.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (cos.f64 x))
(-.f64 (pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 2) (cos.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3))
(-.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3)) (cos.f64 x))
(-.f64 (pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 2) (cos.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
(-.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))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) 3) -2)
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3)) -2)
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(sqrt.f64 (*.f64 4 (exp.f64 (*.f64 4 (log.f64 (sin.f64 (*.f64 1/2 eps)))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) 3) -2)
(sqrt.f64 (*.f64 4 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 2)))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)) 3)
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3)) -2)
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (exp.f64 (log.f64 eps)) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (exp.f64 (log.f64 eps)) 1/2))) -2)
(-.f64 (-.f64 (*.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1)) (*.f64 eps (sin.f64 x))) (cos.f64 x))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (pow.f64 (cbrt.f64 eps) 3) 1/2))) -2)
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x eps) x)))) 3)) -2)
(*.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 (*.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)) (sin.f64 (*.f64 (pow.f64 (pow.f64 eps 3) 1/3) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (pow.f64 (pow.f64 eps 3) 1/3) 1/2))) -2)
(-.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 (+.f64 x eps)) 1) 2) 1) (+.f64 (+.f64 (cos.f64 (+.f64 x eps)) 1) 1)) (cos.f64 x))
(*.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 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps))))) (sqrt.f64 2))) -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 1/2 eps)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 x -2) (*.f64 (pow.f64 x 3) 1/3))) (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 x x) -2))))
(log1p.f64 (sqrt.f64 (pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 2)))
(log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) 3))
(sqrt.f64 (log.f64 (exp.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))))
(sqrt.f64 (*.f64 4 (log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)))))
(pow.f64 (*.f64 (cbrt.f64 -2) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) 3)
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2) (cbrt.f64 -2)) 3)
(-.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 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(pow.f64 (*.f64 (cbrt.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2)))) (cbrt.f64 (sin.f64 (*.f64 eps 1/2)))) 3)
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x)))) (sin.f64 (*.f64 1/2 eps))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x eps)) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (+.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x eps) 1/2)) (cos.f64 (*.f64 x 1/2))) (*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (sin.f64 (*.f64 x 1/2))))) -2)
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)) 3)
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))))
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (cos.f64 x))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(pow.f64 (cbrt.f64 (*.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))))) 3)
(fma.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 (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))))))
(pow.f64 (cbrt.f64 (-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))) 3)
(*.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))) (expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x))))))) -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))) (expm1.f64 (log1p.f64 (*.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 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (+.f64 x eps) 1/2))) 3) (cos.f64 (*.f64 x 1/2))) (*.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 -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)
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 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)) (*.f64 (cos.f64 x) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (*.f64 eps eps)))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
Calls

4 calls:

321.0ms
x
281.0ms
eps
103.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
92.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
ErrorSegmentsBranch
11.5b3x
0.4b3eps
7.8b3(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
7.8b3(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 1783 to 1020 computations (42.8% saved)

bsearch140.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
61.0ms
0.00041460310136284405
0.05290954061673768
78.0ms
-8152.145194869988
-2.977704639659895e-9
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes682.0ms (3.2%)

Counts
114 → 3
Calls
Call 1
Inputs
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 1/2 (*.f64 eps eps))
(*.f64 -1/2 (*.f64 eps eps))
(-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 eps eps))) 1)
(-.f64 (cos.f64 eps) 1)
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 eps (*.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 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 1/2 eps)) 2) 2)
(*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)
(pow.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 eps eps))) 3)
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)
(*.f64 eps (-.f64 (*.f64 (*.f64 (cos.f64 x) -1/2) eps) (sin.f64 x)))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
(-.f64 (-.f64 (+.f64 (cos.f64 (+.f64 x eps)) 1) 1) (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 1 (*.f64 2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) 1)
(*.f64 (*.f64 eps (*.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) -2)
(*.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 x 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 eps x) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 (*.f64 eps eps) eps) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 (*.f64 eps eps) eps) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2)
(*.f64 (*.f64 eps (+.f64 (*.f64 eps (*.f64 (cos.f64 x) 1/4)) (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 (*.f64 eps eps) -1/12))))) -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)
(*.f64 (*.f64 eps (+.f64 (*.f64 eps (*.f64 (cos.f64 x) 1/4)) (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps)))))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (/.f64 eps (*.f64 eps eps))) 1/2))) -2)
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
(pow.f64 (cbrt.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 (sin.f64 x) (neg.f64 eps))) 3)
(pow.f64 (*.f64 (sqrt.f64 2) (sin.f64 (*.f64 1/2 eps))) 2)
(*.f64 (exp.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 1/2 eps))))) -2)
(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 eps) 2)) (-.f64 -1 (cos.f64 eps)))
(sqrt.f64 (-.f64 (+.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) 1))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (-.f64 (cos.f64 eps) -1))
(sqrt.f64 (*.f64 4 (-.f64 (+.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) 1)))
(sqrt.f64 (*.f64 4 (-.f64 (+.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) 1)))
(*.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 (sqrt.f64 (*.f64 eps eps)) 1/2))) -2)
(*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x -2)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 x x) -2))))
(*.f64 (+.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 (*.f64 eps eps) -1/12)))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (*.f64 eps eps) 1/4) (*.f64 -1/48 (pow.f64 eps 4))))) -2)
(*.f64 (+.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps))))) (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/48 (pow.f64 eps 4)) (*.f64 eps (*.f64 eps 1/4))))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (fma.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (/.f64 1 (-.f64 x eps)) (neg.f64 x)) 1/2))) -2)
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 eps) (cos.f64 x))) 3)
(-.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (cos.f64 x))
(-.f64 (pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 2) (cos.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3))
(-.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3)) (cos.f64 x))
(-.f64 (pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 2) (cos.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
(-.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))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) 3) -2)
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3)) -2)
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(sqrt.f64 (*.f64 4 (exp.f64 (*.f64 4 (log.f64 (sin.f64 (*.f64 1/2 eps)))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) 3) -2)
(sqrt.f64 (*.f64 4 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 2)))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)) 3)
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3)) -2)
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (exp.f64 (log.f64 eps)) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (exp.f64 (log.f64 eps)) 1/2))) -2)
(-.f64 (-.f64 (*.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1)) (*.f64 eps (sin.f64 x))) (cos.f64 x))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (pow.f64 (cbrt.f64 eps) 3) 1/2))) -2)
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x eps) x)))) 3)) -2)
(*.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 (*.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)) (sin.f64 (*.f64 (pow.f64 (pow.f64 eps 3) 1/3) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (pow.f64 (pow.f64 eps 3) 1/3) 1/2))) -2)
(-.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 (+.f64 x eps)) 1) 2) 1) (+.f64 (+.f64 (cos.f64 (+.f64 x eps)) 1) 1)) (cos.f64 x))
(*.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 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps))))) (sqrt.f64 2))) -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 1/2 eps)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 x -2) (*.f64 (pow.f64 x 3) 1/3))) (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 x x) -2))))
(log1p.f64 (sqrt.f64 (pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 2)))
(log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) 3))
(sqrt.f64 (log.f64 (exp.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))))
(sqrt.f64 (*.f64 4 (log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)))))
(pow.f64 (*.f64 (cbrt.f64 -2) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) 3)
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2) (cbrt.f64 -2)) 3)
(-.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 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(pow.f64 (*.f64 (cbrt.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2)))) (cbrt.f64 (sin.f64 (*.f64 eps 1/2)))) 3)
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x)))) (sin.f64 (*.f64 1/2 eps))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x eps)) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (+.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x eps) 1/2)) (cos.f64 (*.f64 x 1/2))) (*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (sin.f64 (*.f64 x 1/2))))) -2)
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)) 3)
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))))
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (cos.f64 x))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(pow.f64 (cbrt.f64 (*.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))))) 3)
Outputs
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)) (*.f64 (cos.f64 x) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (*.f64 eps eps)))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
Calls

4 calls:

181.0ms
x
173.0ms
eps
136.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
123.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
ErrorSegmentsBranch
11.5b3x
0.4b3eps
7.8b3(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
7.8b3(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 1563 to 915 computations (41.5% saved)

bsearch170.0ms (0.8%)

Algorithm
2×binary-search
Steps
TimeLeftRight
107.0ms
0.00041460310136284405
0.05290954061673768
62.0ms
-8152.145194869988
-2.977704639659895e-9
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes1.2s (5.4%)

Counts
108 → 3
Calls
Call 1
Inputs
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 1/2 (*.f64 eps eps))
(*.f64 -1/2 (*.f64 eps eps))
(-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 eps eps))) 1)
(-.f64 (cos.f64 eps) 1)
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 eps (*.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 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 1/2 eps)) 2) 2)
(*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)
(pow.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 eps eps))) 3)
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)
(*.f64 eps (-.f64 (*.f64 (*.f64 (cos.f64 x) -1/2) eps) (sin.f64 x)))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
(-.f64 (-.f64 (+.f64 (cos.f64 (+.f64 x eps)) 1) 1) (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 1 (*.f64 2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) 1)
(*.f64 (*.f64 eps (*.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) -2)
(*.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 x 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 eps x) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 (*.f64 eps eps) eps) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 (*.f64 eps eps) eps) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2)
(*.f64 (*.f64 eps (+.f64 (*.f64 eps (*.f64 (cos.f64 x) 1/4)) (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 (*.f64 eps eps) -1/12))))) -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)
(*.f64 (*.f64 eps (+.f64 (*.f64 eps (*.f64 (cos.f64 x) 1/4)) (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps)))))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (/.f64 eps (*.f64 eps eps))) 1/2))) -2)
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
(pow.f64 (cbrt.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 (sin.f64 x) (neg.f64 eps))) 3)
(pow.f64 (*.f64 (sqrt.f64 2) (sin.f64 (*.f64 1/2 eps))) 2)
(*.f64 (exp.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 1/2 eps))))) -2)
(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 eps) 2)) (-.f64 -1 (cos.f64 eps)))
(sqrt.f64 (-.f64 (+.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) 1))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (-.f64 (cos.f64 eps) -1))
(sqrt.f64 (*.f64 4 (-.f64 (+.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) 1)))
(sqrt.f64 (*.f64 4 (-.f64 (+.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) 1)))
(*.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 (sqrt.f64 (*.f64 eps eps)) 1/2))) -2)
(*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x -2)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 x x) -2))))
(*.f64 (+.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 (*.f64 eps eps) -1/12)))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (*.f64 eps eps) 1/4) (*.f64 -1/48 (pow.f64 eps 4))))) -2)
(*.f64 (+.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps))))) (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/48 (pow.f64 eps 4)) (*.f64 eps (*.f64 eps 1/4))))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (fma.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (/.f64 1 (-.f64 x eps)) (neg.f64 x)) 1/2))) -2)
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 eps) (cos.f64 x))) 3)
(-.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (cos.f64 x))
(-.f64 (pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 2) (cos.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3))
(-.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3)) (cos.f64 x))
(-.f64 (pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 2) (cos.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
(-.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))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) 3) -2)
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3)) -2)
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(sqrt.f64 (*.f64 4 (exp.f64 (*.f64 4 (log.f64 (sin.f64 (*.f64 1/2 eps)))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) 3) -2)
(sqrt.f64 (*.f64 4 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 2)))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)) 3)
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3)) -2)
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (exp.f64 (log.f64 eps)) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (exp.f64 (log.f64 eps)) 1/2))) -2)
(-.f64 (-.f64 (*.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1)) (*.f64 eps (sin.f64 x))) (cos.f64 x))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (pow.f64 (cbrt.f64 eps) 3) 1/2))) -2)
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x eps) x)))) 3)) -2)
(*.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 (*.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)) (sin.f64 (*.f64 (pow.f64 (pow.f64 eps 3) 1/3) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (pow.f64 (pow.f64 eps 3) 1/3) 1/2))) -2)
(-.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 (+.f64 x eps)) 1) 2) 1) (+.f64 (+.f64 (cos.f64 (+.f64 x eps)) 1) 1)) (cos.f64 x))
(*.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 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps))))) (sqrt.f64 2))) -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 1/2 eps)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 x -2) (*.f64 (pow.f64 x 3) 1/3))) (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 x x) -2))))
(log1p.f64 (sqrt.f64 (pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 2)))
(log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) 3))
(sqrt.f64 (log.f64 (exp.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))))
(sqrt.f64 (*.f64 4 (log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)))))
(pow.f64 (*.f64 (cbrt.f64 -2) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) 3)
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2) (cbrt.f64 -2)) 3)
(-.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 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
(pow.f64 (*.f64 (cbrt.f64 (*.f64 -2 (sin.f64 (*.f64 eps 1/2)))) (cbrt.f64 (sin.f64 (*.f64 eps 1/2)))) 3)
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 eps x)))) (sin.f64 (*.f64 1/2 eps))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x eps)) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (+.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x eps) 1/2)) (cos.f64 (*.f64 x 1/2))) (*.f64 (cos.f64 (*.f64 (+.f64 x eps) 1/2)) (sin.f64 (*.f64 x 1/2))))) -2)
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)) 3)
Outputs
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.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 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))
Calls

4 calls:

493.0ms
x
322.0ms
eps
161.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
114.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
ErrorSegmentsBranch
11.5b3x
0.4b3eps
7.8b3(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
7.8b3(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 1463 to 881 computations (39.8% saved)

bsearch178.0ms (0.8%)

Algorithm
2×binary-search
Steps
TimeLeftRight
67.0ms
0.00041460310136284405
0.05290954061673768
109.0ms
-8152.145194869988
-2.977704639659895e-9
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes285.0ms (1.3%)

Counts
100 → 1
Calls
Call 1
Inputs
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 1/2 (*.f64 eps eps))
(*.f64 -1/2 (*.f64 eps eps))
(-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 eps eps))) 1)
(-.f64 (cos.f64 eps) 1)
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 eps (*.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 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 1/2 eps)) 2) 2)
(*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)
(pow.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 eps eps))) 3)
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)
(*.f64 eps (-.f64 (*.f64 (*.f64 (cos.f64 x) -1/2) eps) (sin.f64 x)))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
(-.f64 (-.f64 (+.f64 (cos.f64 (+.f64 x eps)) 1) 1) (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 1 (*.f64 2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) 1)
(*.f64 (*.f64 eps (*.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) -2)
(*.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 x 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 eps x) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 (*.f64 eps eps) eps) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 (*.f64 eps eps) eps) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) -2)
(*.f64 (*.f64 eps (+.f64 (*.f64 eps (*.f64 (cos.f64 x) 1/4)) (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 (*.f64 eps eps) -1/12))))) -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)
(*.f64 (*.f64 eps (+.f64 (*.f64 eps (*.f64 (cos.f64 x) 1/4)) (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps)))))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 1 (/.f64 eps (*.f64 eps eps))) 1/2))) -2)
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
(pow.f64 (cbrt.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 (sin.f64 x) (neg.f64 eps))) 3)
(pow.f64 (*.f64 (sqrt.f64 2) (sin.f64 (*.f64 1/2 eps))) 2)
(*.f64 (exp.f64 (*.f64 2 (log.f64 (sin.f64 (*.f64 1/2 eps))))) -2)
(-.f64 (-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps))) (cos.f64 x))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 eps) 2)) (-.f64 -1 (cos.f64 eps)))
(sqrt.f64 (-.f64 (+.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) 1))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1) (-.f64 (cos.f64 eps) -1))
(sqrt.f64 (*.f64 4 (-.f64 (+.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) 1)))
(sqrt.f64 (*.f64 4 (-.f64 (+.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)) 1)))
(*.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 (sqrt.f64 (*.f64 eps eps)) 1/2))) -2)
(*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x -2)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 x x) -2))))
(*.f64 (+.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 (*.f64 eps eps) -1/12)))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (*.f64 eps eps) 1/4) (*.f64 -1/48 (pow.f64 eps 4))))) -2)
(*.f64 (+.f64 (*.f64 eps (*.f64 (sin.f64 x) (+.f64 1/2 (*.f64 -1/12 (*.f64 eps eps))))) (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/48 (pow.f64 eps 4)) (*.f64 eps (*.f64 eps 1/4))))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (fma.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (/.f64 1 (-.f64 x eps)) (neg.f64 x)) 1/2))) -2)
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (cos.f64 x)))
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 eps) (cos.f64 x))) 3)
(-.f64 (expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(-.f64 (log.f64 (exp.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(-.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (cos.f64 x))
(-.f64 (pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 2) (cos.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 3)
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3))
(-.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3)) (cos.f64 x))
(-.f64 (pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 2) (cos.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3) (cos.f64 x))
(-.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))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) 3) -2)
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3)) -2)
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(sqrt.f64 (*.f64 4 (exp.f64 (*.f64 4 (log.f64 (sin.f64 (*.f64 1/2 eps)))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) 3) -2)
(sqrt.f64 (*.f64 4 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 2)))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)) 3)
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3)) -2)
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (exp.f64 (log.f64 eps)) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (exp.f64 (log.f64 eps)) 1/2))) -2)
(-.f64 (-.f64 (*.f64 (cos.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1)) (*.f64 eps (sin.f64 x))) (cos.f64 x))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (pow.f64 (cbrt.f64 eps) 3) 1/2))) -2)
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x eps) x)))) 3)) -2)
(*.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 (*.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)) (sin.f64 (*.f64 (pow.f64 (pow.f64 eps 3) 1/3) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (pow.f64 (pow.f64 eps 3) 1/3) 1/2))) -2)
(-.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 (+.f64 x eps)) 1) 2) 1) (+.f64 (+.f64 (cos.f64 (+.f64 x eps)) 1) 1)) (cos.f64 x))
(*.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 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (/.f64 (sqrt.f64 (-.f64 1 (cos.f64 (*.f64 1/2 (+.f64 eps eps))))) (sqrt.f64 2))) -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 1/2 eps)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 x -2) (*.f64 (pow.f64 x 3) 1/3))) (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 x x) -2))))
(log1p.f64 (sqrt.f64 (pow.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)) 2)))
(log1p.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) 3))
(sqrt.f64 (log.f64 (exp.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))))
(sqrt.f64 (*.f64 4 (log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 4)))))
(pow.f64 (*.f64 (cbrt.f64 -2) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) 3)
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2) (cbrt.f64 -2)) 3)
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:

92.0ms
x
54.0ms
eps
49.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
36.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
ErrorSegmentsBranch
15.0b1x
15.0b1eps
15.0b1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
15.0b1(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 1319 to 815 computations (38.2% saved)

regimes144.0ms (0.7%)

Counts
28 → 3
Calls
Call 1
Inputs
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 1/2 (*.f64 eps eps))
(*.f64 -1/2 (*.f64 eps eps))
(-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 eps eps))) 1)
(-.f64 (cos.f64 eps) 1)
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 eps (*.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 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 1/2 eps)) 2) 2)
(*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)
(pow.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 eps eps))) 3)
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)
(*.f64 eps (-.f64 (*.f64 (*.f64 (cos.f64 x) -1/2) eps) (sin.f64 x)))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 -1 (*.f64 x (sin.f64 eps)))) 1)
(-.f64 (-.f64 (+.f64 (cos.f64 (+.f64 x eps)) 1) 1) (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 1 (*.f64 2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) 1)
(*.f64 (*.f64 eps (*.f64 (sin.f64 (*.f64 1/2 x)) (cos.f64 (*.f64 1/2 x)))) -2)
(*.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 x 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 eps x) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 (*.f64 eps eps) eps) 1/2))) -2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (/.f64 (*.f64 eps eps) eps) 1/2))) -2)
Outputs
(-.f64 (cos.f64 eps) (cos.f64 x))
(*.f64 eps (-.f64 (*.f64 (*.f64 (cos.f64 x) -1/2) eps) (sin.f64 x)))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 eps x) 1/2))) -2)
Calls

3 calls:

61.0ms
x
49.0ms
eps
18.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
ErrorSegmentsBranch
18.3b3x
14.7b3eps
15.8b2(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 299 to 186 computations (37.8% saved)

bsearch112.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
54.0ms
0.00041460310136284405
0.05290954061673768
57.0ms
-8152.145194869988
-2.977704639659895e-9
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes108.0ms (0.5%)

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

3 calls:

47.0ms
x
36.0ms
eps
17.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
ErrorSegmentsBranch
18.6b3x
14.7b3eps
15.8b2(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 244 to 157 computations (35.7% saved)

bsearch129.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
60.0ms
0.00041460310136284405
0.05290954061673768
69.0ms
-8152.145194869988
-2.977704639659895e-9
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes183.0ms (0.9%)

Counts
15 → 3
Calls
Call 1
Inputs
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 1/2 (*.f64 eps eps))
(*.f64 -1/2 (*.f64 eps eps))
(-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 eps eps))) 1)
(-.f64 (cos.f64 eps) 1)
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 eps (*.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 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 1/2 eps)) 2) 2)
(*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)
(pow.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 eps eps))) 3)
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)
Outputs
(*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)
Calls

3 calls:

97.0ms
x
67.0ms
eps
14.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
ErrorSegmentsBranch
19.7b3x
18.9b3eps
21.2b2(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 123 to 82 computations (33.3% saved)

bsearch364.0ms (1.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
197.0ms
5.479368066731591e-27
7.15609454220132e-21
166.0ms
-5.360922530398747e-64
-1.871524768531727e-64
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes182.0ms (0.9%)

Counts
12 → 4
Calls
Call 1
Inputs
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 1/2 (*.f64 eps eps))
(*.f64 -1/2 (*.f64 eps eps))
(-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 eps eps))) 1)
(-.f64 (cos.f64 eps) 1)
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 eps (*.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 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 1/2 eps)) 2) 2)
Outputs
(-.f64 (cos.f64 eps) (cos.f64 x))
(*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps 1/24) -1/2)))
(*.f64 (sin.f64 x) (neg.f64 eps))
(-.f64 (cos.f64 eps) (cos.f64 x))
Calls

3 calls:

101.0ms
x
56.0ms
eps
18.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Results
ErrorSegmentsBranch
23.8b5x
19.0b4eps
21.2b2(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 99 to 63 computations (36.4% saved)

bsearch330.0ms (1.6%)

Algorithm
3×binary-search
Steps
TimeLeftRight
62.0ms
0.00041460310136284405
0.05290954061673768
156.0ms
-5.360922530398747e-64
-1.871524768531727e-64
112.0ms
-8152.145194869988
-2.977704639659895e-9
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes112.0ms (0.5%)

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

2 calls:

73.0ms
x
35.0ms
eps
Results
ErrorSegmentsBranch
23.8b5x
19.2b4eps
Compiler

Compiled 70 to 46 computations (34.3% saved)

bsearch287.0ms (1.4%)

Algorithm
3×binary-search
Steps
TimeLeftRight
70.0ms
0.00041460310136284405
0.05290954061673768
114.0ms
-5.360922530398747e-64
-1.871524768531727e-64
103.0ms
-8152.145194869988
-2.977704639659895e-9
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes108.0ms (0.5%)

Counts
6 → 4
Calls
Call 1
Inputs
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 1/2 (*.f64 eps eps))
(*.f64 -1/2 (*.f64 eps eps))
(-.f64 (+.f64 1 (*.f64 -1/2 (*.f64 eps eps))) 1)
(-.f64 (cos.f64 eps) 1)
(*.f64 (sin.f64 x) (neg.f64 eps))
Outputs
(-.f64 (cos.f64 eps) 1)
(*.f64 eps (*.f64 -1/2 eps))
(*.f64 (sin.f64 x) (neg.f64 eps))
(-.f64 (cos.f64 eps) 1)
Calls

2 calls:

64.0ms
x
42.0ms
eps
Results
ErrorSegmentsBranch
23.8b5x
19.2b4eps
Compiler

Compiled 41 to 26 computations (36.6% saved)

bsearch418.0ms (2%)

Algorithm
3×binary-search
Steps
TimeLeftRight
86.0ms
0.00041460310136284405
0.05290954061673768
105.0ms
-5.360922530398747e-64
-1.871524768531727e-64
226.0ms
-8152.145194869988
-2.977704639659895e-9
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes107.0ms (0.5%)

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

2 calls:

60.0ms
eps
45.0ms
x
Results
ErrorSegmentsBranch
40.9b3x
36.8b3eps
Compiler

Compiled 36 to 23 computations (36.1% saved)

bsearch208.0ms (1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
135.0ms
0.00041460310136284405
0.05290954061673768
72.0ms
-8152.145194869988
-2.977704639659895e-9
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes21.0ms (0.1%)

Accuracy

Total -6.1b remaining (-11.9%)

Threshold costs -6.1b (-11.9%)

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

2 calls:

10.0ms
eps
8.0ms
x
Results
ErrorSegmentsBranch
51.4b1x
51.4b1eps
Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify262.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
164×distribute-rgt-neg-in_binary64
131×cancel-sign-sub-inv_binary64
109×distribute-lft-neg-in_binary64
104×distribute-lft-neg-out_binary64
102×neg-sub0_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0106752
1165750
2204750
3259750
4331750
5406750
6501750
7599750
8699750
9834750
10927750
111005750
121090750
131166750
141235750
151279750
161303750
171317750
181321750
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 eps -8963378433077797/1099511627776) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (expm1.f64 (log1p.f64 (sin.f64 eps)))) (neg.f64 (cos.f64 x))))) (if (<=.f64 eps 1912019325751661/4611686018427387904) (+.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)) (*.f64 (cos.f64 x) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (*.f64 eps eps))))) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))
(if (<=.f64 eps -8963378433077797/1099511627776) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) (if (<=.f64 eps 1912019325751661/4611686018427387904) (+.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)) (*.f64 (cos.f64 x) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (*.f64 eps eps))))) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))
(if (<=.f64 eps -8963378433077797/1099511627776) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) (if (<=.f64 eps 1912019325751661/4611686018427387904) (+.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)) (*.f64 (cos.f64 x) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (*.f64 eps eps))))) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))
(if (<=.f64 eps -8963378433077797/1099511627776) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) (if (<=.f64 eps 1912019325751661/4611686018427387904) (+.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)) (*.f64 (cos.f64 x) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (*.f64 eps eps))))) (-.f64 (*.f64 (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 -8963378433077797/1099511627776) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 1912019325751661/4611686018427387904) (*.f64 eps (-.f64 (*.f64 (*.f64 (cos.f64 x) -1/2) eps) (sin.f64 x))) (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 eps x) 1/2))) -2)))
(if (<=.f64 eps -8963378433077797/1099511627776) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 1912019325751661/4611686018427387904) (*.f64 eps (-.f64 (*.f64 (*.f64 (cos.f64 x) -1/2) eps) (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -993203872054833/1852673427797059126777135760139006525652319754650249024631321344126610074238976) (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2) (if (<=.f64 eps 7637124444071659/1393796574908163946345982392040522594123776) (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)))
(if (<=.f64 eps -8963378433077797/1099511627776) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps -993203872054833/1852673427797059126777135760139006525652319754650249024631321344126610074238976) (*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps 1/24) -1/2))) (if (<=.f64 eps 1912019325751661/4611686018427387904) (*.f64 (sin.f64 x) (neg.f64 eps)) (-.f64 (cos.f64 eps) (cos.f64 x)))))
(if (<=.f64 eps -8963378433077797/1099511627776) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps -993203872054833/1852673427797059126777135760139006525652319754650249024631321344126610074238976) (*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps 1/24) -1/2))) (if (<=.f64 eps 1912019325751661/4611686018427387904) (*.f64 (sin.f64 x) (neg.f64 eps)) (-.f64 (cos.f64 eps) 1))))
(if (<=.f64 eps -8963378433077797/1099511627776) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps -993203872054833/1852673427797059126777135760139006525652319754650249024631321344126610074238976) (*.f64 eps (*.f64 -1/2 eps)) (if (<=.f64 eps 1912019325751661/4611686018427387904) (*.f64 (sin.f64 x) (neg.f64 eps)) (-.f64 (cos.f64 eps) 1))))
(if (<=.f64 eps -8963378433077797/1099511627776) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 1912019325751661/4611686018427387904) (*.f64 eps (*.f64 -1/2 eps)) (-.f64 (cos.f64 eps) 1)))
(*.f64 eps (*.f64 -1/2 eps))
Outputs
(if (<=.f64 eps -8963378433077797/1099511627776) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (expm1.f64 (log1p.f64 (sin.f64 eps)))) (neg.f64 (cos.f64 x))))) (if (<=.f64 eps 1912019325751661/4611686018427387904) (+.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)) (*.f64 (cos.f64 x) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (*.f64 eps eps))))) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))
(if (<=.f64 eps -8963378433077797/1099511627776) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (expm1.f64 (log1p.f64 (sin.f64 eps))))))) (if (<=.f64 eps 1912019325751661/4611686018427387904) (+.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)) (*.f64 (cos.f64 x) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (*.f64 eps eps))))) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))
(if (<=.f64 eps -8963378433077797/1099511627776) (fma.f64 (cos.f64 x) (cos.f64 eps) (-.f64 (*.f64 (expm1.f64 (log1p.f64 (sin.f64 eps))) (neg.f64 (sin.f64 x))) (cos.f64 x))) (if (<=.f64 eps 1912019325751661/4611686018427387904) (+.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)) (*.f64 (cos.f64 x) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (*.f64 eps eps))))) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))
(if (<=.f64 eps -8963378433077797/1099511627776) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) (if (<=.f64 eps 1912019325751661/4611686018427387904) (+.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)) (*.f64 (cos.f64 x) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (*.f64 eps eps))))) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))
(if (<=.f64 eps -8963378433077797/1099511627776) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) (if (<=.f64 eps 1912019325751661/4611686018427387904) (+.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)) (*.f64 (cos.f64 x) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (*.f64 eps eps))))) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))
(if (<=.f64 eps -8963378433077797/1099511627776) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) (if (<=.f64 eps 1912019325751661/4611686018427387904) (+.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)) (*.f64 (cos.f64 x) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (*.f64 eps eps))))) (-.f64 (*.f64 (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 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x))))) -2)
(if (<=.f64 eps -8963378433077797/1099511627776) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 1912019325751661/4611686018427387904) (*.f64 eps (-.f64 (*.f64 (*.f64 (cos.f64 x) -1/2) eps) (sin.f64 x))) (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 eps x) 1/2))) -2)))
(if (<=.f64 eps -8963378433077797/1099511627776) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 1912019325751661/4611686018427387904) (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) (*.f64 -2 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 1/2 (+.f64 eps x)))))))
(if (<=.f64 eps -8963378433077797/1099511627776) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 1912019325751661/4611686018427387904) (*.f64 eps (-.f64 (*.f64 (*.f64 (cos.f64 x) -1/2) eps) (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -8963378433077797/1099511627776) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps 1912019325751661/4611686018427387904) (*.f64 eps (-.f64 (*.f64 eps (*.f64 (cos.f64 x) -1/2)) (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x))))
(if (<=.f64 eps -993203872054833/1852673427797059126777135760139006525652319754650249024631321344126610074238976) (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2) (if (<=.f64 eps 7637124444071659/1393796574908163946345982392040522594123776) (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2) -2)))
(if (<=.f64 eps -993203872054833/1852673427797059126777135760139006525652319754650249024631321344126610074238976) (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)) (if (<=.f64 eps 7637124444071659/1393796574908163946345982392040522594123776) (*.f64 (sin.f64 x) (neg.f64 eps)) (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))))
(if (<=.f64 eps -993203872054833/1852673427797059126777135760139006525652319754650249024631321344126610074238976) (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2)) (if (<=.f64 eps 7637124444071659/1393796574908163946345982392040522594123776) (*.f64 eps (neg.f64 (sin.f64 x))) (*.f64 -2 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 2))))
(if (<=.f64 eps -8963378433077797/1099511627776) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps -993203872054833/1852673427797059126777135760139006525652319754650249024631321344126610074238976) (*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps 1/24) -1/2))) (if (<=.f64 eps 1912019325751661/4611686018427387904) (*.f64 (sin.f64 x) (neg.f64 eps)) (-.f64 (cos.f64 eps) (cos.f64 x)))))
(if (<=.f64 eps -8963378433077797/1099511627776) (-.f64 (cos.f64 eps) (cos.f64 x)) (if (<=.f64 eps -993203872054833/1852673427797059126777135760139006525652319754650249024631321344126610074238976) (*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps 1/24) -1/2))) (if (<=.f64 eps 1912019325751661/4611686018427387904) (*.f64 eps (neg.f64 (sin.f64 x))) (-.f64 (cos.f64 eps) (cos.f64 x)))))
(if (<=.f64 eps -8963378433077797/1099511627776) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps -993203872054833/1852673427797059126777135760139006525652319754650249024631321344126610074238976) (*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps 1/24) -1/2))) (if (<=.f64 eps 1912019325751661/4611686018427387904) (*.f64 (sin.f64 x) (neg.f64 eps)) (-.f64 (cos.f64 eps) 1))))
(if (<=.f64 eps -8963378433077797/1099511627776) (+.f64 (cos.f64 eps) -1) (if (<=.f64 eps -993203872054833/1852673427797059126777135760139006525652319754650249024631321344126610074238976) (*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps 1/24) -1/2))) (if (<=.f64 eps 1912019325751661/4611686018427387904) (*.f64 (sin.f64 x) (neg.f64 eps)) (+.f64 (cos.f64 eps) -1))))
(if (<=.f64 eps -8963378433077797/1099511627776) (+.f64 (cos.f64 eps) -1) (if (<=.f64 eps -993203872054833/1852673427797059126777135760139006525652319754650249024631321344126610074238976) (*.f64 eps (*.f64 eps (fma.f64 eps (*.f64 eps 1/24) -1/2))) (if (<=.f64 eps 1912019325751661/4611686018427387904) (*.f64 eps (neg.f64 (sin.f64 x))) (+.f64 (cos.f64 eps) -1))))
(if (<=.f64 eps -8963378433077797/1099511627776) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps -993203872054833/1852673427797059126777135760139006525652319754650249024631321344126610074238976) (*.f64 eps (*.f64 -1/2 eps)) (if (<=.f64 eps 1912019325751661/4611686018427387904) (*.f64 (sin.f64 x) (neg.f64 eps)) (-.f64 (cos.f64 eps) 1))))
(if (<=.f64 eps -8963378433077797/1099511627776) (+.f64 (cos.f64 eps) -1) (if (<=.f64 eps -993203872054833/1852673427797059126777135760139006525652319754650249024631321344126610074238976) (*.f64 eps (*.f64 eps -1/2)) (if (<=.f64 eps 1912019325751661/4611686018427387904) (*.f64 (sin.f64 x) (neg.f64 eps)) (+.f64 (cos.f64 eps) -1))))
(if (<=.f64 eps -8963378433077797/1099511627776) (+.f64 (cos.f64 eps) -1) (if (<=.f64 eps -993203872054833/1852673427797059126777135760139006525652319754650249024631321344126610074238976) (*.f64 eps (*.f64 eps -1/2)) (if (<=.f64 eps 1912019325751661/4611686018427387904) (*.f64 eps (neg.f64 (sin.f64 x))) (+.f64 (cos.f64 eps) -1))))
(if (<=.f64 eps -8963378433077797/1099511627776) (-.f64 (cos.f64 eps) 1) (if (<=.f64 eps 1912019325751661/4611686018427387904) (*.f64 eps (*.f64 -1/2 eps)) (-.f64 (cos.f64 eps) 1)))
(if (<=.f64 eps -8963378433077797/1099511627776) (+.f64 (cos.f64 eps) -1) (if (<=.f64 eps 1912019325751661/4611686018427387904) (*.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 513 to 310 computations (39.6% saved)

soundness149.0ms (0.7%)

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
Compiler

Compiled 459 to 329 computations (28.3% saved)

end288.0ms (1.4%)

Compiler

Compiled 489 to 237 computations (51.5% saved)

Profiling

Loading profile data...