Details

analyze49.0ms (0.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1

Compiler

Compiled 10 to 7 computations (30% saved)

sample229.0ms (2.5%)

Algorithm

1×

intervals

Results

108.0ms	133×	body	1024	valid
81.0ms	51×	body	2048	valid
17.0ms	42×	body	512	valid
5.0ms	17×	body	256	valid
2.0ms	13×	body	128	valid

Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify28.0ms (0.3%)

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 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	10	11
2	15	11
3	22	11
4	29	11
5	46	11
6	72	11
7	93	11
8	110	11
9	120	11
10	124	11
11	126	11
12	112	11

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	0	0
Total	1	1

Error

43.0b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	43.0b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite92.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

18.6b

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:

12.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
5.0ms	(cos.f64 (+.f64 x eps))

Compiler

Compiled 781 to 162 computations (79.3% saved)

series81.0ms (0.9%)

Error

16.2b

Counts

2 → 23

Calls

2 calls:

27.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
22.0ms	(cos.f64 (+.f64 x eps))

Compiler

Compiled 691 to 426 computations (38.4% saved)

simplify131.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

723×	`fma-neg_binary64`
461×	`cancel-sign-sub-inv_binary64`
458×	`fma-def_binary64`
290×	`sub-neg_binary64`
244×	`distribute-rgt-in_binary64`

Counts

65 → 44

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	132	1033
1	302	968
2	936	907
3	2282	886
4	4469	886
5	4964	886
6	4999	886
7	4830	886

prune39.0ms (0.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	36	8	44
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	37	8	45

Error

0.3b

Counts

45 → 8

Alt Table

Status	Error	Program
	25.1b	(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
	25.1b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))
	33.2b	(neg.f64 (fma.f64 eps (sin.f64 x) (.f64 1/2 (.f64 (cos.f64 x) (*.f64 eps eps)))))
	52.1b	(*.f64 (+.f64 (sqrt.f64 (cos.f64 (+.f64 eps x))) (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (cos.f64 (+.f64 eps x))) (sqrt.f64 (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)))
	43.1b	(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) 3))
▶	17.7b	(.f64 -2 (.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))))
	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 770 to 359 computations (53.4% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

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))

rewrite88.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

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:

11.0ms	(.f64 -2 (.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))))
9.0ms	(*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))
6.0ms	(sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))
5.0ms	(+.f64 x (+.f64 eps x))

Compiler

Compiled 1526 to 940 computations (38.4% saved)

series146.0ms (1.6%)

Error

0.3b

Counts

4 → 48

Calls

4 calls:

34.0ms	(.f64 -2 (.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))))
29.0ms	(*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))
19.0ms	(+.f64 x (+.f64 eps x))
17.0ms	(sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))

Compiler

Compiled 1935 to 1517 computations (21.6% saved)

simplify159.0ms (1.8%)

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

119 → 97

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	184	2605
1	500	2260
2	1528	2024
3	3686	2009
4	4710	2009
5	4985	2009
6	4925	2009

prune112.0ms (1.2%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	85	12	97
Fresh	3	4	7
Picked	1	0	1
Done	0	0	0
Total	89	16	105

Error

0.2b

Counts

105 → 16

Alt Table

Status	Error	Program
	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 (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))))))
	25.1b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))
	19.8b	(.f64 -2 (.f64 (sin.f64 (/.f64 eps 2)) (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) 3))))
	52.1b	(*.f64 (+.f64 (sqrt.f64 (cos.f64 (+.f64 eps x))) (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (cos.f64 (+.f64 eps x))) (sqrt.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)))))
	33.2b	(neg.f64 (fma.f64 1/2 (.f64 eps (.f64 eps (cos.f64 x))) (*.f64 eps (sin.f64 x))))
	33.2b	(neg.f64 (fma.f64 eps (sin.f64 x) (.f64 1/2 (.f64 (cos.f64 x) (*.f64 eps eps)))))
	26.8b	(.f64 -2 (.f64 (sin.f64 (/.f64 eps 2)) (log.f64 (exp.f64 (sin.f64 (/.f64 (fma.f64 x 2 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))))))
	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))))))
	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))))))

Compiler

Compiled 2256 to 1705 computations (24.4% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

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))

rewrite58.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

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:

4.0ms	(*.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))))

Compiler

Compiled 1144 to 940 computations (17.8% saved)

series172.0ms (1.9%)

Error

0.2b

Counts

4 → 45

Calls

4 calls:

46.0ms	(*.f64 (sin.f64 (/.f64 eps 2)) (log1p.f64 (expm1.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))))
40.0ms	(log1p.f64 (expm1.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))))
30.0ms	(expm1.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))
17.0ms	(sin.f64 (/.f64 (fma.f64 x 2 eps) 2))

Compiler

Compiled 2597 to 1977 computations (23.9% saved)

simplify94.0ms (1%)

Algorithm

1×	egg-herbie

Rules

771×	`fma-def_binary64`
505×	`sub-neg_binary64`
449×	`cancel-sign-sub-inv_binary64`
418×	`*-commutative_binary64`
242×	`unswap-sqr_binary64`

Counts

96 → 66

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	186	2093
1	478	1906
2	1510	1818
3	4085	1818
4	4972	1818

prune72.0ms (0.8%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	64	2	66
Fresh	0	15	15
Picked	1	0	1
Done	0	0	0
Total	65	17	82

Error

0.2b

Counts

82 → 17

Alt Table

Status	Error	Program
	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 (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))))))
	25.1b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))
	19.8b	(.f64 -2 (.f64 (sin.f64 (/.f64 eps 2)) (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) 3))))
	52.1b	(*.f64 (+.f64 (sqrt.f64 (cos.f64 (+.f64 eps x))) (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (cos.f64 (+.f64 eps x))) (sqrt.f64 (cos.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)))))
	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)))))
	33.2b	(neg.f64 (fma.f64 1/2 (.f64 eps (.f64 eps (cos.f64 x))) (*.f64 eps (sin.f64 x))))
	33.1b	(.f64 -2 (.f64 (sin.f64 (/.f64 eps 2)) (log1p.f64 (fma.f64 1/2 (.f64 (.f64 eps (cos.f64 x)) (exp.f64 (sin.f64 x))) (expm1.f64 (sin.f64 x))))))
	33.2b	(neg.f64 (fma.f64 eps (sin.f64 x) (.f64 1/2 (.f64 (cos.f64 x) (*.f64 eps eps)))))
	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))))))
	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))))))
▶	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))))))

Compiler

Compiled 2055 to 1517 computations (26.2% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))
4.8b	(sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))
4.8b	(sin.f64 (/.f64 (fma.f64 x 2 eps) 2))
4.8b	(sin.f64 (/.f64 (fma.f64 x 2 eps) 2))

rewrite61.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

5×	`*-un-lft-identity_binary64`
5×	`add-sqr-sqrt_binary64`
5×	`add-cube-cbrt_binary64`
4×	`add-cbrt-cube_binary64`
4×	`add-exp-log_binary64`

Counts

4 → 40

Calls

4 calls:

6.0ms	(sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))
4.0ms	(cbrt.f64 (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))
2.0ms	(sin.f64 (/.f64 (fma.f64 x 2 eps) 2))
2.0ms	(sin.f64 (/.f64 (fma.f64 x 2 eps) 2))

Compiler

Compiled 1592 to 1129 computations (29.1% saved)

series183.0ms (2%)

Error

0.2b

Counts

4 → 46

Calls

4 calls:

67.0ms	(cbrt.f64 (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))
27.0ms	(sin.f64 (/.f64 (fma.f64 x 2 eps) 2))
26.0ms	(sin.f64 (/.f64 (fma.f64 x 2 eps) 2))
22.0ms	(sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))

Compiler

Compiled 4287 to 3291 computations (23.2% saved)

simplify76.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

896×	`fma-neg_binary64`
626×	`unswap-sqr_binary64`
509×	`associate-r_binary64`
478×	`associate-l_binary64`
284×	`cancel-sign-sub-inv_binary64`

Counts

86 → 59

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	122	1646
1	300	1561
2	882	1433
3	3195	1421
4	5348	1421

prune71.0ms (0.8%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	58	1	59
Fresh	1	15	16
Picked	1	0	1
Done	0	0	0
Total	60	16	76

Error

0.2b

Counts

76 → 16

Alt Table

Status	Error	Program
	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 (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))))))
	25.1b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))
	19.8b	(.f64 -2 (.f64 (sin.f64 (/.f64 eps 2)) (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) 3))))
	52.1b	(*.f64 (+.f64 (sqrt.f64 (cos.f64 (+.f64 eps x))) (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (cos.f64 (+.f64 eps x))) (sqrt.f64 (cos.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)))))
	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)))))
	33.2b	(neg.f64 (fma.f64 1/2 (.f64 eps (.f64 eps (cos.f64 x))) (*.f64 eps (sin.f64 x))))
	33.1b	(.f64 -2 (.f64 (sin.f64 (/.f64 eps 2)) (log1p.f64 (fma.f64 1/2 (.f64 (.f64 eps (cos.f64 x)) (exp.f64 (sin.f64 x))) (expm1.f64 (sin.f64 x))))))
	27.1b	(.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 (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)))))
	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))))))
	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))))))

Compiler

Compiled 2326 to 1717 computations (26.2% saved)

regimes1.8s (19.7%)

Accuracy

Total 0.3b remaining (56.9%)

Threshold costs 0.3b (56.9%)

Compiler

Compiled 11045 to 7679 computations (30.5% saved)

bsearch159.0ms (1.8%)

Steps

Iters	Range		Point
10	6.3768807247007826e-12	4039.447287563984	0.00015166749856064068
9	-0.01499170651435751	-6.45171212841225e-11	-0.00016768600443699762

Compiler

Compiled 3 to 2 computations (33.3% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative_binary64`
11×	`+-commutative_binary64`
10×	`sub-neg_binary64`
7×	`neg-sub0_binary64`
7×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	83
1	42	83
2	57	83
3	75	83
4	86	83
5	92	83
6	94	83
7	94	83

end2.0ms (0%)

Compiler: Compiled 55 to 28 computations (49.1% saved)

sample5.1s (56.2%)

Algorithm

1×

intervals

Results

1.9s	1988×	body	2048	valid
1.8s	3870×	body	1024	valid
322.0ms	1335×	body	512	valid
94.0ms	555×	body	256	valid
22.0ms	249×	body	128	valid
6.0ms	3×	body	4096	valid

Compiler

Compiled 471 to 346 computations (26.5% saved)

Iter	Nodes	Cost
0	7	11
1	10	11
2	15	11
3	22	11
4	29	11
5	46	11
6	72	11
7	93	11
8	110	11
9	120	11
10	124	11
11	126	11
12	112	11

Iter	Nodes	Cost
0	7	11
1	10	11
2	15	11
3	22	11
4	29	11
5	46	11
6	72	11
7	93	11
8	110	11
9	120	11
10	124	11
11	126	11
12	112	11

Details

analyze49.0ms (0.5%)

sample229.0ms (2.5%)

simplify28.0ms (0.3%)

prune4.0ms (0%)

localize12.0ms (0.1%)

rewrite92.0ms (1%)

series81.0ms (0.9%)

simplify131.0ms (1.4%)

prune39.0ms (0.4%)

localize12.0ms (0.1%)

rewrite88.0ms (1%)

series146.0ms (1.6%)

simplify159.0ms (1.8%)

prune112.0ms (1.2%)

localize14.0ms (0.2%)

rewrite58.0ms (0.6%)

series172.0ms (1.9%)

simplify94.0ms (1%)

prune72.0ms (0.8%)

localize22.0ms (0.2%)

rewrite61.0ms (0.7%)

series183.0ms (2%)

simplify76.0ms (0.8%)

prune71.0ms (0.8%)

regimes1.8s (19.7%)

bsearch159.0ms (1.8%)

simplify12.0ms (0.1%)

end2.0ms (0%)

sample5.1s (56.2%)

Profiling

Iter	Nodes	Cost
0	7	11
1	10	11
2	15	11
3	22	11
4	29	11
5	46	11
6	72	11
7	93	11
8	110	11
9	120	11
10	124	11
11	126	11
12	112	11