Details

Time bar (total: 9.7s)

analyze58.0ms (0.6%)

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

Compiled 10 to 7 computations (30% saved)

sample117.0ms (1.2%)

Algorithm
1×intervals
Results
57.0ms133×body1024valid
39.0ms51×body2048valid
10.0ms42×body512valid
2.0ms17×body256valid
1.0ms13×body128valid
Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify15.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
11011
21511
32211
42911
54611
67211
79311
811011
912011
1012411
1112611
1211211

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
43.0b
Counts
2 → 1
Alt Table
StatusErrorProgram
▶43.0b
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 27 to 18 computations (33.3% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.8b
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓4.8b
(cos.f64 (+.f64 x eps))

rewrite11.0ms (0.1%)

Algorithm
1×rewrite-expression-head
Rules
12×*-un-lft-identity_binary64
12×add-sqr-sqrt_binary64
10×add-cube-cbrt_binary64
9×prod-diff_binary64
4×add-log-exp_binary64
Counts
2 → 42
Calls

2 calls:

6.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
3.0ms
(cos.f64 (+.f64 x eps))

series16.0ms (0.2%)

Counts
2 → 48
Calls

2 calls:

12.0ms
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
4.0ms
(cos.f64 (+.f64 x eps))

simplify92.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
757×fma-neg_binary64
498×cancel-sign-sub-inv_binary64
477×fma-def_binary64
311×sub-neg_binary64
244×distribute-rgt-in_binary64
Counts
90 → 90
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01341274
13091207
29651144
323731120
445221120
548381120

prune47.0ms (0.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New82890
Fresh000
Picked101
Done000
Total83891
Error
0.3b
Counts
91 → 8
Alt Table
StatusErrorProgram
▶17.7b
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))))
33.2b
(neg.f64 (fma.f64 eps (sin.f64 x) (*.f64 1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)))))
43.1b
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 3))
25.1b
(-.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))
51.8b
(fma.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))) (neg.f64 (cos.f64 x)))
25.1b
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
43.4b
(/.f64 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 eps x))) 6) (*.f64 (cos.f64 x) (cos.f64 x))) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
33.9b
(+.f64 (*.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (*.f64 (*.f64 eps eps) -1/2))) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))
Compiler

Compiled 903 to 395 computations (56.3% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))))
✓0.0b
(+.f64 x (+.f64 eps x))
✓0.3b
(*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))
✓4.8b
(sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))

rewrite28.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
13×*-un-lft-identity_binary64
11×add-cbrt-cube_binary64
11×add-exp-log_binary64
11×pow1_binary64
10×add-sqr-sqrt_binary64
Counts
4 → 71
Calls

4 calls:

8.0ms
(*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))
8.0ms
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))))
5.0ms
(sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))
4.0ms
(+.f64 x (+.f64 eps x))

series78.0ms (0.8%)

Counts
4 → 96
Calls

4 calls:

37.0ms
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))))
26.0ms
(*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))
9.0ms
(+.f64 x (+.f64 eps x))
6.0ms
(sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))

simplify162.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
549×fma-def_binary64
428×*-commutative_binary64
417×cancel-sign-sub-inv_binary64
354×sub-neg_binary64
330×distribute-rgt-neg-in_binary64
Counts
167 → 167
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01843349
15002908
215282564
336862549
447102549
549852549
649252549

prune101.0ms (1%)

Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New15512167
Fresh347
Picked101
Done000
Total15916175
Error
0.2b
Counts
175 → 16
Alt Table
StatusErrorProgram
51.8b
(fma.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))) (neg.f64 (cos.f64 x)))
42.4b
(*.f64 -2 (*.f64 (*.f64 (sqrt.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))) (sin.f64 (/.f64 eps 2))) (sqrt.f64 (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))))
19.8b
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) 3))))
35.2b
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (fma.f64 (cos.f64 (*.f64 1/2 eps)) x (sin.f64 (*.f64 1/2 eps)))))
25.1b
(-.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))
26.8b
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (log.f64 (exp.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))))))
49.7b
(*.f64 (sqrt.f64 (*.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))) (sqrt.f64 (*.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))))
▶17.8b
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (log1p.f64 (expm1.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))))))
33.2b
(neg.f64 (fma.f64 eps (sin.f64 x) (*.f64 1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)))))
33.2b
(neg.f64 (fma.f64 1/2 (*.f64 eps (*.f64 eps (cos.f64 x))) (*.f64 eps (sin.f64 x))))
18.3b
(*.f64 -2 (*.f64 (*.f64 (*.f64 (cbrt.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))) (cbrt.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))) (sin.f64 (/.f64 eps 2))) (cbrt.f64 (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))))
29.1b
(*.f64 -2 (*.f64 (sqrt.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2)))) (sqrt.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))))
18.5b
(*.f64 -2 (*.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2)))) (cbrt.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))) (cbrt.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))))
25.1b
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
30.5b
(*.f64 -2 (exp.f64 (log.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))))
18.5b
(*.f64 (*.f64 (cbrt.f64 (*.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))) (cbrt.f64 (*.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2)))))) (cbrt.f64 (*.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))))
Compiler

Compiled 2529 to 1885 computations (25.5% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(expm1.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))
✓0.3b
(log1p.f64 (expm1.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))))
✓0.3b
(*.f64 (sin.f64 (/.f64 eps 2)) (log1p.f64 (expm1.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))))
✓4.8b
(sin.f64 (/.f64 (fma.f64 x 2 eps) 2))

rewrite8.0ms (0.1%)

Algorithm
1×rewrite-expression-head
Rules
8×add-sqr-sqrt_binary64
6×*-un-lft-identity_binary64
6×add-cube-cbrt_binary64
6×add-cbrt-cube_binary64
6×add-exp-log_binary64
Counts
4 → 51
Calls

4 calls:

3.0ms
(*.f64 (sin.f64 (/.f64 eps 2)) (log1p.f64 (expm1.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))))
2.0ms
(sin.f64 (/.f64 (fma.f64 x 2 eps) 2))
0.0ms
(expm1.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))
0.0ms
(log1p.f64 (expm1.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))))

series1.2s (12.8%)

Counts
4 → 96
Calls

4 calls:

620.0ms
(*.f64 (sin.f64 (/.f64 eps 2)) (log1p.f64 (expm1.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))))
606.0ms
(log1p.f64 (expm1.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))))
14.0ms
(expm1.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))
5.0ms
(sin.f64 (/.f64 (fma.f64 x 2 eps) 2))

simplify118.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
740×sub-neg_binary64
553×cancel-sign-sub-inv_binary64
288×associate--r+_binary64
267×associate--l+_binary64
243×associate-+l+_binary64
Counts
147 → 147
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02012944
15342732
217862616
344972616
453082616

prune102.0ms (1.1%)

Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New1443147
Fresh21315
Picked101
Done000
Total14716163
Error
0.2b
Counts
163 → 16
Alt Table
StatusErrorProgram
51.8b
(fma.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))) (neg.f64 (cos.f64 x)))
42.4b
(*.f64 -2 (*.f64 (*.f64 (sqrt.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))) (sin.f64 (/.f64 eps 2))) (sqrt.f64 (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))))
42.4b
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (log1p.f64 (*.f64 (sqrt.f64 (expm1.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))) (sqrt.f64 (expm1.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))))))))
19.8b
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) 3))))
35.2b
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (fma.f64 (cos.f64 (*.f64 1/2 eps)) x (sin.f64 (*.f64 1/2 eps)))))
25.1b
(-.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))
26.8b
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (log.f64 (exp.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))))))
33.2b
(neg.f64 (fma.f64 eps (sin.f64 x) (*.f64 1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)))))
33.2b
(neg.f64 (fma.f64 1/2 (*.f64 eps (*.f64 eps (cos.f64 x))) (*.f64 eps (sin.f64 x))))
19.9b
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (log1p.f64 (cbrt.f64 (pow.f64 (expm1.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))) 3)))))
29.1b
(*.f64 -2 (*.f64 (sqrt.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2)))) (sqrt.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))))
25.1b
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
30.5b
(*.f64 -2 (exp.f64 (log.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))))
32.9b
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (log1p.f64 (+.f64 (*.f64 (exp.f64 (sin.f64 x)) (+.f64 (*.f64 1/2 (*.f64 eps (cos.f64 x))) (*.f64 1/8 (*.f64 (*.f64 eps eps) (pow.f64 (cos.f64 x) 2))))) (+.f64 (expm1.f64 (sin.f64 x)) (*.f64 (*.f64 (*.f64 (sin.f64 x) (*.f64 eps eps)) (exp.f64 (sin.f64 x))) -1/8))))))
49.7b
(*.f64 (sqrt.f64 (*.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))) (sqrt.f64 (*.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))))
▶18.5b
(*.f64 (*.f64 (cbrt.f64 (*.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))) (cbrt.f64 (*.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2)))))) (cbrt.f64 (*.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))))
Compiler

Compiled 2605 to 1965 computations (24.6% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓3.8b
(cbrt.f64 (*.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2)))))
4.8b
(sin.f64 (/.f64 (fma.f64 x 2 eps) 2))
4.8b
(sin.f64 (/.f64 (fma.f64 x 2 eps) 2))
4.8b
(sin.f64 (/.f64 (fma.f64 x 2 eps) 2))

rewrite5.0ms (0.1%)

Algorithm
1×rewrite-expression-head
Rules
1×*-un-lft-identity_binary64
1×add-sqr-sqrt_binary64
1×cbrt-prod_binary64
1×cbrt-div_binary64
1×associate-*r/_binary64
Counts
1 → 12
Calls

1 calls:

4.0ms
(cbrt.f64 (*.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2)))))

series875.0ms (9%)

Counts
1 → 24
Calls

1 calls:

875.0ms
(cbrt.f64 (*.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2)))))

simplify144.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
607×times-frac_binary64
546×fma-neg_binary64
376×associate-/l*_binary64
285×fma-def_binary64
272×cancel-sign-sub-inv_binary64
Counts
36 → 36
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01371534
13731534
212791441
347011433
451791433

prune125.0ms (1.3%)

Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New2661267
Fresh01515
Picked011
Done000
Total26617283
Error
0.2b
Counts
283 → 17
Alt Table
StatusErrorProgram
51.8b
(fma.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))) (neg.f64 (cos.f64 x)))
42.4b
(*.f64 -2 (*.f64 (*.f64 (sqrt.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))) (sin.f64 (/.f64 eps 2))) (sqrt.f64 (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))))
42.4b
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (log1p.f64 (*.f64 (sqrt.f64 (expm1.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))) (sqrt.f64 (expm1.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))))))))
29.1b
(*.f64 -2 (*.f64 (sqrt.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2)))) (sqrt.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))))
49.9b
(*.f64 (*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 2 x eps) 2)) (sin.f64 (/.f64 eps 2)))))) (sqrt.f64 (cbrt.f64 (*.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 2 x eps) 2)) (sin.f64 (/.f64 eps 2))))))) (cbrt.f64 (*.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2)))))) (cbrt.f64 (*.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))))
19.8b
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) 3))))
35.2b
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (fma.f64 (cos.f64 (*.f64 1/2 eps)) x (sin.f64 (*.f64 1/2 eps)))))
25.1b
(-.f64 (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))
26.8b
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (log.f64 (exp.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))))))
33.2b
(neg.f64 (fma.f64 eps (sin.f64 x) (*.f64 1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)))))
33.2b
(neg.f64 (fma.f64 1/2 (*.f64 eps (*.f64 eps (cos.f64 x))) (*.f64 eps (sin.f64 x))))
19.9b
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (log1p.f64 (cbrt.f64 (pow.f64 (expm1.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))) 3)))))
25.1b
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
30.5b
(*.f64 -2 (exp.f64 (log.f64 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))))
32.9b
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (log1p.f64 (+.f64 (*.f64 (exp.f64 (sin.f64 x)) (+.f64 (*.f64 1/2 (*.f64 eps (cos.f64 x))) (*.f64 1/8 (*.f64 (*.f64 eps eps) (pow.f64 (cos.f64 x) 2))))) (+.f64 (expm1.f64 (sin.f64 x)) (*.f64 (*.f64 (*.f64 (sin.f64 x) (*.f64 eps eps)) (exp.f64 (sin.f64 x))) -1/8))))))
49.7b
(*.f64 (sqrt.f64 (*.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))) (sqrt.f64 (*.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))))
18.5b
(*.f64 (*.f64 (cbrt.f64 (*.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))) (cbrt.f64 (*.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2)))))) (cbrt.f64 (*.f64 -2 (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))))
Compiler

Compiled 4687 to 3707 computations (20.9% saved)

regimes1.1s (11.6%)

Accuracy

Total 0.4b remaining (61.7%)

Threshold costs 0.4b (61.7%)

Compiler

Compiled 6772 to 5283 computations (22% saved)

bsearch92.0ms (0.9%)

Steps
ItersRangePoint
10
6.3768807247007826e-12
4039.447287563984
3.026368651951747e-5
9
-0.01499170651435751
-6.45171212841225e-11
-2.8611454772111663e-5
Compiler

Compiled 3 to 2 computations (33.3% saved)

simplify5.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02355
13555
24055
34355
44455
54455

end1.0ms (0%)

Compiler

Compiled 37 to 22 computations (40.5% saved)

sample5.1s (52.5%)

Algorithm
1×intervals
Results
2.6s1988×body2048valid
1.6s3870×body1024valid
287.0ms1335×body512valid
86.0ms555×body256valid
22.0ms249×body128valid
6.0ms3×body4096valid
Compiler

Compiled 505 to 379 computations (25% saved)

Profiling

Loading profile data...