Details

analyze43.0ms (0.2%)

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)

sample231.0ms (1.3%)

Algorithm

1×

intervals

Results

113.0ms	75×	body	2048	valid
81.0ms	114×	body	1024	valid
15.0ms	40×	body	512	valid
7.0ms	22×	body	256	valid
1.0ms	5×	body	128	valid

Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify26.0ms (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)

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

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

39.7b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	39.7b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Compiler

Compiled 27 to 18 computations (33.3% saved)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.3b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓	2.4b	(cos.f64 (+.f64 x eps))

rewrite18.0ms (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:

10.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
5.0ms	(cos.f64 (+.f64 x eps))

series82.0ms (0.5%)

Counts

2 → 48

Calls

2 calls:

57.0ms	(cos.f64 (+.f64 x eps))
24.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

simplify158.0ms (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 → 135

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	134	1274
1	309	1207
2	965	1144
3	2373	1120
4	4522	1120
5	4838	1120

prune197.0ms (1.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	126	9	135
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	127	9	136

Error

0.3b

Counts

136 → 9

Alt Table

Status	Error	Program
	22.5b	(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
▶	16.6b	(.f64 -2 (.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))))
	39.7b	(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (+.f64 (.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (+.f64 (.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
	22.5b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
	39.7b	(-.f64 (log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps)))) (cos.f64 x))
	34.5b	(-.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 eps 3) (sin.f64 x))) (.f64 1/24 (.f64 (pow.f64 eps 4) (cos.f64 x)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 x))))
	22.5b	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
	39.7b	(-.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3)) (cos.f64 x))
	40.0b	(fma.f64 (*.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) (cbrt.f64 (cos.f64 (+.f64 x eps)))) (cbrt.f64 (cos.f64 (+.f64 x eps))) (neg.f64 (cos.f64 x)))

Compiler

Compiled 1906 to 680 computations (64.3% saved)

localize22.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (+.f64 eps x))
✓	0.3b	(*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))
✓	2.1b	(sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))

rewrite41.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64`
8×	`add-sqr-sqrt_binary64`
8×	`add-log-exp_binary64`
6×	`add-cube-cbrt_binary64`
5×	`add-cbrt-cube_binary64`

Counts

3 → 50

Calls

3 calls:

16.0ms	(*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))
12.0ms	(sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))
8.0ms	(+.f64 x (+.f64 eps x))

series84.0ms (0.5%)

Counts

3 → 72

Calls

3 calls:

55.0ms	(*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))
20.0ms	(+.f64 x (+.f64 eps x))
9.0ms	(sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))

simplify177.0ms (1%)

Algorithm

1×	egg-herbie

Rules

551×	`distribute-rgt-neg-in_binary64`
531×	`distribute-lft-neg-in_binary64`
408×	`associate-l_binary64`
400×	`associate-r_binary64`
396×	`fma-def_binary64`

Counts

122 → 226

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	137	2057
1	365	1802
2	1051	1564
3	3325	1563
4	4746	1563
5	4995	1563

prune263.0ms (1.5%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	215	11	226
Fresh	3	5	8
Picked	1	0	1
Done	0	0	0
Total	219	16	235

Error

0.2b

Counts

235 → 16

Alt Table

Status	Error	Program
	34.1b	(.f64 -2 (.f64 (sin.f64 (/.f64 eps 2)) (fma.f64 (cos.f64 (.f64 1/2 eps)) x (sin.f64 (.f64 1/2 eps)))))
	17.3b	(.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))))))
	17.2b	(.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)))))
	18.3b	(.f64 -2 (.f64 (sin.f64 (/.f64 eps 2)) (cbrt.f64 (.f64 (.f64 (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))))))
	41.3b	(.f64 -2 (.f64 (sqrt.f64 (sin.f64 (/.f64 eps 2))) (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sqrt.f64 (sin.f64 (/.f64 eps 2))))))
	22.9b	(.f64 -2 (.f64 (sin.f64 (/.f64 eps 2)) (log.f64 (exp.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))))))
	22.5b	(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
▶	16.6b	(.f64 -2 (.f64 (sin.f64 (/.f64 eps 2)) (log1p.f64 (expm1.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))))))
	39.7b	(-.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3)) (cos.f64 x))
	26.7b	(.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))))))
	27.9b	(.f64 -2 (exp.f64 (log.f64 (.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))))
	22.5b	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
	17.3b	(.f64 -2 (.f64 (.f64 (cbrt.f64 (sin.f64 (/.f64 eps 2))) (cbrt.f64 (sin.f64 (/.f64 eps 2)))) (.f64 (cbrt.f64 (sin.f64 (/.f64 eps 2))) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))))
	40.0b	(fma.f64 (*.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) (cbrt.f64 (cos.f64 (+.f64 x eps)))) (cbrt.f64 (cos.f64 (+.f64 x eps))) (neg.f64 (cos.f64 x)))
	34.1b	(.f64 -2 (.f64 (sin.f64 (/.f64 eps 2)) (fma.f64 (.f64 (sin.f64 x) (.f64 eps eps)) -1/8 (fma.f64 1/2 (*.f64 eps (cos.f64 x)) (sin.f64 x)))))
	22.5b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))

Compiler

Compiled 3306 to 2303 computations (30.3% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(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)))))
✓	0.3b	(log1p.f64 (expm1.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))))
✓	2.1b	(sin.f64 (/.f64 (fma.f64 x 2 eps) 2))

rewrite17.0ms (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:

9.0ms	(*.f64 (sin.f64 (/.f64 eps 2)) (log1p.f64 (expm1.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))))
3.0ms	(sin.f64 (/.f64 (fma.f64 x 2 eps) 2))
1.0ms	(expm1.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))
1.0ms	(log1p.f64 (expm1.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))))

series2.7s (15.3%)

Counts

4 → 96

Calls

4 calls:

1.3s	(*.f64 (sin.f64 (/.f64 eps 2)) (log1p.f64 (expm1.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))))
1.3s	(log1p.f64 (expm1.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2))))
28.0ms	(expm1.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))
9.0ms	(sin.f64 (/.f64 (fma.f64 x 2 eps) 2))

simplify197.0ms (1.1%)

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 → 252

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	201	2944
1	534	2732
2	1786	2616
3	4497	2616
4	5308	2616

prune328.0ms (1.9%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	250	2	252
Fresh	2	13	15
Picked	1	0	1
Done	0	0	0
Total	253	15	268

Error

0.2b

Counts

268 → 15

Alt Table

Status	Error	Program
	34.1b	(.f64 -2 (.f64 (sin.f64 (/.f64 eps 2)) (fma.f64 (cos.f64 (.f64 1/2 eps)) x (sin.f64 (.f64 1/2 eps)))))
	17.3b	(.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))))))
▶	17.2b	(.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)))))
	18.3b	(.f64 -2 (.f64 (sin.f64 (/.f64 eps 2)) (cbrt.f64 (.f64 (.f64 (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))))))
	41.3b	(.f64 -2 (.f64 (sqrt.f64 (sin.f64 (/.f64 eps 2))) (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sqrt.f64 (sin.f64 (/.f64 eps 2))))))
	22.5b	(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
	26.7b	(.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))))))
	18.4b	(.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)))))
	27.9b	(.f64 -2 (exp.f64 (log.f64 (.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))))
	22.5b	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
	39.7b	(-.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3)) (cos.f64 x))
	40.0b	(fma.f64 (*.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) (cbrt.f64 (cos.f64 (+.f64 x eps)))) (cbrt.f64 (cos.f64 (+.f64 x eps))) (neg.f64 (cos.f64 x)))
	34.1b	(.f64 -2 (.f64 (sin.f64 (/.f64 eps 2)) (fma.f64 (.f64 (sin.f64 x) (.f64 eps eps)) -1/8 (fma.f64 1/2 (*.f64 eps (cos.f64 x)) (sin.f64 x)))))
	18.3b	(.f64 -2 (.f64 (sin.f64 (/.f64 eps 2)) (log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) 3))))))
	22.5b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))

Compiler

Compiled 4286 to 3211 computations (25.1% saved)

localize40.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(cbrt.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))
	2.1b	(sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))
	2.1b	(sin.f64 (/.f64 (fma.f64 x 2 eps) 2))
	2.1b	(sin.f64 (/.f64 (fma.f64 x 2 eps) 2))

rewrite4.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`cbrt-prod_binary64`
2×	`*-un-lft-identity_binary64`
2×	`add-sqr-sqrt_binary64`
2×	`add-cube-cbrt_binary64`
1×	`add-cbrt-cube_binary64`

Counts

1 → 13

Calls

1 calls:

3.0ms

(cbrt.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))

series1.1s (6.4%)

Counts

1 → 24

Calls

1 calls:

1.1s	(cbrt.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)))

simplify130.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

970×	`fma-neg_binary64`
604×	`unswap-sqr_binary64`
365×	`fma-def_binary64`
356×	`*-commutative_binary64`
343×	`associate--l+_binary64`

Counts

37 → 71

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	113	935
1	304	931
2	1014	907
3	2571	876
4	4863	864
5	5356	864

prune325.0ms (1.9%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	252	1	253
Fresh	0	14	14
Picked	1	0	1
Done	0	0	0
Total	253	15	268

Error

0.2b

Counts

268 → 15

Alt Table

Status	Error	Program
	34.1b	(.f64 -2 (.f64 (sin.f64 (/.f64 eps 2)) (fma.f64 (cos.f64 (.f64 1/2 eps)) x (sin.f64 (.f64 1/2 eps)))))
	17.3b	(.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))))))
	27.9b	(.f64 -2 (exp.f64 (log.f64 (.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sin.f64 (/.f64 eps 2))))))
	17.2b	(.f64 -2 (.f64 (.f64 (.f64 (expm1.f64 (log1p.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)))))
	41.3b	(.f64 -2 (.f64 (sqrt.f64 (sin.f64 (/.f64 eps 2))) (*.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) (sqrt.f64 (sin.f64 (/.f64 eps 2))))))
	22.5b	(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
	26.7b	(.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))))))
	18.3b	(.f64 -2 (.f64 (sin.f64 (/.f64 eps 2)) (cbrt.f64 (.f64 (.f64 (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))))))
	18.4b	(.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)))))
	22.5b	(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (+.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
	39.7b	(-.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 eps x)) 3)) (cos.f64 x))
	40.0b	(fma.f64 (*.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) (cbrt.f64 (cos.f64 (+.f64 x eps)))) (cbrt.f64 (cos.f64 (+.f64 x eps))) (neg.f64 (cos.f64 x)))
	34.1b	(.f64 -2 (.f64 (sin.f64 (/.f64 eps 2)) (fma.f64 (.f64 (sin.f64 x) (.f64 eps eps)) -1/8 (fma.f64 1/2 (*.f64 eps (cos.f64 x)) (sin.f64 x)))))
	18.3b	(.f64 -2 (.f64 (sin.f64 (/.f64 eps 2)) (log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (fma.f64 x 2 eps) 2)) 3))))))
	22.5b	(-.f64 (-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))

Compiler

Compiled 5717 to 4112 computations (28.1% saved)

regimes2.9s (16.5%)

Accuracy

Total 0.3b remaining (55.1%)

Threshold costs 0.3b (55.1%)

Compiler

Compiled 12453 to 9093 computations (27% saved)

bsearch174.0ms (1%)

Steps

Iters	Range		Point
9	5.900498778015948e-9	0.24634679928783954	0.002833034179938811
9	-64061.7225524141	-1.966049132269065e-5	-0.0023136737066387857

Compiler

Compiled 3 to 2 computations (33.3% saved)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

17×	`*-commutative_binary64`
13×	`+-commutative_binary64`
11×	`sub-neg_binary64`
9×	`neg-sub0_binary64`
9×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	83
1	53	83
2	65	83
3	88	83
4	106	83
5	118	83
6	125	83
7	127	83
8	126	83

end2.0ms (0%)

Compiler: Compiled 55 to 35 computations (36.4% saved)

sample8.2s (46.9%)

Algorithm

1×

intervals

Results

3.6s	2094×	body	2048	valid
2.9s	3826×	body	1024	valid
524.0ms	1289×	body	512	valid
142.0ms	533×	body	256	valid
36.0ms	256×	body	128	valid
8.0ms	2×	body	4096	valid

Compiler

Compiled 425 to 306 computations (28% 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

analyze43.0ms (0.2%)

sample231.0ms (1.3%)

simplify26.0ms (0.2%)

prune3.0ms (0%)

localize13.0ms (0.1%)

rewrite18.0ms (0.1%)

series82.0ms (0.5%)

simplify158.0ms (0.9%)

prune197.0ms (1.1%)

localize22.0ms (0.1%)

rewrite41.0ms (0.2%)

series84.0ms (0.5%)

simplify177.0ms (1%)

prune263.0ms (1.5%)

localize27.0ms (0.2%)

rewrite17.0ms (0.1%)

series2.7s (15.3%)

simplify197.0ms (1.1%)

prune328.0ms (1.9%)

localize40.0ms (0.2%)

rewrite4.0ms (0%)

series1.1s (6.4%)

simplify130.0ms (0.7%)

prune325.0ms (1.9%)

regimes2.9s (16.5%)

bsearch174.0ms (1%)

simplify14.0ms (0.1%)

end2.0ms (0%)

sample8.2s (46.9%)

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