Details

analyze986.0ms (18.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
12.5%	87.4%	0.1%	6
18.7%	81.2%	0.1%	7
25%	73.4%	1.7%	8
28.1%	68.7%	3.2%	9
31.2%	62.8%	6%	10
32.8%	60.1%	7.1%	11
34.3%	56.7%	9%	12
35.1%	55.2%	9.7%	13
35.9%	53.4%	10.7%	14

Compiler

Compiled 15 to 12 computations (20% saved)

sample54.0ms (1%)

Algorithm

1×

intervals

Results

16.0ms	62×	body	1024	valid
10.0ms	139×	body	128	valid
6.0ms	32×	body	512	valid
3.0ms	23×	body	256	valid
0.0ms	7×	body	128	invalid

Compiler

Compiled 31 to 25 computations (19.4% saved)

simplify15.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

27×	`cancel-sign-sub-inv_binary64`
22×	`sub-neg_binary64`
11×	`distribute-rgt-in_binary64` `associate-/l*_binary64`
10×	`neg-mul-1_binary64` `distribute-rgt-neg-in_binary64` `associate--r+_binary64`
8×	`+-commutative_binary64`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	19
1	24	14
2	45	14
3	73	14
4	102	14
5	129	14
6	136	14
7	171	14
8	162	14
9	168	14
10	165	14
11	140	14

prune8.0ms (0.1%)

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

0.1b

Counts

2 → 2

Alt Table

Status	Error	Program
▶	0.1b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
	0.2b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))

Compiler

Compiled 61 to 46 computations (24.6% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
0.1b	(/.f64 x (tan.f64 B))
0.1b	(/.f64 1 (sin.f64 B))

rewrite144.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

43×	`add-sqr-sqrt_binary64`
36×	`times-frac_binary64`
35×	`*-un-lft-identity_binary64`
26×	`add-cube-cbrt_binary64`
14×	`cancel-sign-sub-inv_binary64`

Counts

3 → 94

Calls

3 calls:

15.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
5.0ms	(/.f64 1 (sin.f64 B))
3.0ms	(/.f64 x (tan.f64 B))

Compiler

Compiled 1508 to 610 computations (59.5% saved)

series125.0ms (2.3%)

Error

0.1b

Counts

3 → 25

Calls

3 calls:

52.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
41.0ms	(/.f64 x (tan.f64 B))
17.0ms	(/.f64 1 (sin.f64 B))

Compiler

Compiled 812 to 531 computations (34.6% saved)

simplify95.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

448×	`cancel-sign-sub-inv_binary64`
324×	`associate-/l*_binary64`
313×	`associate-+l+_binary64`
254×	`associate-r_binary64`
248×	`associate-l_binary64`

Counts

119 → 57

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	185	1740
1	464	1696
2	1273	1681
3	3949	1675
4	4954	1675

prune41.0ms (0.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	52	5	57
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	53	6	59

Error

0.0b

Counts

59 → 6

Alt Table

Status	Error	Program
▶	0.1b	(+.f64 (/.f64 1 (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B)))
	12.4b	(/.f64 (-.f64 (tan.f64 B) (.f64 (sin.f64 B) x)) (.f64 (sin.f64 B) (tan.f64 B)))
	33.9b	(cbrt.f64 (pow.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) 3))
	0.2b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
	0.2b	(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))))
	27.5b	(/.f64 (-.f64 (/.f64 (/.f64 1 (sin.f64 B)) (sin.f64 B)) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 6)) (+.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))))

Compiler

Compiled 708 to 389 computations (45.1% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (/.f64 1 (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B)))
0.1b	(/.f64 (neg.f64 x) (tan.f64 B))
0.1b	(/.f64 1 (sin.f64 B))

rewrite164.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

45×	`*-un-lft-identity_binary64`
43×	`times-frac_binary64`
34×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
13×	`associate-/l*_binary64` `distribute-rgt-neg-in_binary64`
12×	`distribute-lft-neg-in_binary64`

Counts

3 → 107

Calls

3 calls:

27.0ms	(+.f64 (/.f64 1 (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B)))
5.0ms	(/.f64 (neg.f64 x) (tan.f64 B))
3.0ms	(/.f64 1 (sin.f64 B))

Compiler

Compiled 1686 to 652 computations (61.3% saved)

series112.0ms (2.1%)

Error

0.0b

Counts

3 → 25

Calls

3 calls:

50.0ms	(+.f64 (/.f64 1 (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B)))
40.0ms	(/.f64 (neg.f64 x) (tan.f64 B))
8.0ms	(/.f64 1 (sin.f64 B))

Compiler

Compiled 860 to 568 computations (34% saved)

simplify106.0ms (2%)

Algorithm

1×	egg-herbie

Rules

461×	`times-frac_binary64`
328×	`div-sub_binary64`
321×	`associate-+l+_binary64`
304×	`associate-/l*_binary64`
248×	`associate-r_binary64`

Counts

132 → 69

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	195	2032
1	436	1950
2	1235	1929
3	4584	1929
4	5215	1929

prune48.0ms (0.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	69	6	75

Error

0.0b

Counts

75 → 6

Alt Table

Status	Error	Program
✓	0.1b	(+.f64 (/.f64 1 (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B)))
	12.4b	(/.f64 (-.f64 (tan.f64 B) (.f64 (sin.f64 B) x)) (.f64 (sin.f64 B) (tan.f64 B)))
	33.9b	(cbrt.f64 (pow.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) 3))
	0.2b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
▶	0.2b	(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))))
	27.5b	(/.f64 (-.f64 (/.f64 (/.f64 1 (sin.f64 B)) (sin.f64 B)) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 6)) (+.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))))

Compiler

Compiled 958 to 484 computations (49.5% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))))
0.1b	(/.f64 1 (sin.f64 B))
0.1b	(*.f64 x (cos.f64 B))
0.2b	(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))

rewrite137.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`*-un-lft-identity_binary64`
18×	`add-sqr-sqrt_binary64`
16×	`add-cube-cbrt_binary64`
15×	`add-exp-log_binary64`
13×	`add-cbrt-cube_binary64` `times-frac_binary64`

Counts

4 → 93

Calls

4 calls:

15.0ms	(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))))
5.0ms	(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
4.0ms	(*.f64 x (cos.f64 B))
3.0ms	(/.f64 1 (sin.f64 B))

Compiler

Compiled 1661 to 599 computations (63.9% saved)

series118.0ms (2.2%)

Error

0.0b

Counts

4 → 34

Calls

4 calls:

44.0ms	(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))))
29.0ms	(/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))
21.0ms	(*.f64 x (cos.f64 B))
8.0ms	(/.f64 1 (sin.f64 B))

Compiler

Compiled 1204 to 789 computations (34.5% saved)

simplify97.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

660×	`associate-/l*_binary64`
374×	`associate-*r/_binary64`
258×	`associate-/l/_binary64`
235×	`cancel-sign-sub-inv_binary64`
218×	`associate-/r/_binary64`

Counts

127 → 64

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	181	1898
1	451	1741
2	1582	1717
3	4364	1717
4	5067	1717

prune54.0ms (1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	60	4	64
Fresh	3	1	4
Picked	0	1	1
Done	0	1	1
Total	63	7	70

Error

0.0b

Counts

70 → 7

Alt Table

Status	Error	Program
	1.3b	(.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (.f64 x (cos.f64 B)) (sin.f64 B)))) (cbrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (.f64 x (cos.f64 B)) (sin.f64 B))))) (cbrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))))
✓	0.1b	(+.f64 (/.f64 1 (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B)))
	33.9b	(cbrt.f64 (pow.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) 3))
	12.5b	(/.f64 (.f64 (sin.f64 B) (-.f64 1 (.f64 x (cos.f64 B)))) (*.f64 (sin.f64 B) (sin.f64 B)))
▶	0.2b	(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))))
✓	0.2b	(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))))
	27.3b	(/.f64 (-.f64 (/.f64 1 (.f64 (sin.f64 B) (sin.f64 B))) (.f64 (/.f64 (.f64 x (cos.f64 B)) (sin.f64 B)) (/.f64 (.f64 x (cos.f64 B)) (sin.f64 B)))) (+.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) (/.f64 1 (sin.f64 B))))

Compiler

Compiled 1080 to 502 computations (53.5% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))))
0.1b	(/.f64 1 (sin.f64 B))
0.2b	(/.f64 (cos.f64 B) (sin.f64 B))
0.3b	(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))

rewrite146.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

33×	`add-sqr-sqrt_binary64`
31×	`*-un-lft-identity_binary64`
28×	`add-cube-cbrt_binary64` `times-frac_binary64`
15×	`add-exp-log_binary64`
13×	`add-cbrt-cube_binary64` `associate-r_binary64`

Counts

4 → 107

Calls

4 calls:

9.0ms	(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))))
7.0ms	(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
4.0ms	(/.f64 (cos.f64 B) (sin.f64 B))
3.0ms	(/.f64 1 (sin.f64 B))

Compiler

Compiled 2095 to 727 computations (65.3% saved)

series111.0ms (2.1%)

Error

0.0b

Counts

4 → 31

Calls

4 calls:

44.0ms	(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))))
31.0ms	(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
10.0ms	(/.f64 (cos.f64 B) (sin.f64 B))
8.0ms	(/.f64 1 (sin.f64 B))

Compiler

Compiled 1099 to 727 computations (33.8% saved)

simplify132.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

442×	`times-frac_binary64`
419×	`associate-*l/_binary64`
332×	`associate-/l*_binary64`
262×	`cancel-sign-sub-inv_binary64`
214×	`div-sub_binary64`

Counts

138 → 69

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	186	2215
1	462	2052
2	1641	2037
3	4235	2037
4	4993	2037
5	4933	2037

prune56.0ms (1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	69	7	76

Error

0.0b

Counts

76 → 7

Alt Table

Status	Error	Program
	1.3b	(.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (.f64 x (cos.f64 B)) (sin.f64 B)))) (cbrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (.f64 x (cos.f64 B)) (sin.f64 B))))) (cbrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))))
	0.1b	(+.f64 (/.f64 1 (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B)))
	33.9b	(cbrt.f64 (pow.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) 3))
	12.5b	(/.f64 (.f64 (sin.f64 B) (-.f64 1 (.f64 x (cos.f64 B)))) (*.f64 (sin.f64 B) (sin.f64 B)))
	0.2b	(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))))
	0.2b	(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))))
	27.3b	(/.f64 (-.f64 (/.f64 1 (.f64 (sin.f64 B) (sin.f64 B))) (.f64 (/.f64 (.f64 x (cos.f64 B)) (sin.f64 B)) (/.f64 (.f64 x (cos.f64 B)) (sin.f64 B)))) (+.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)) (/.f64 1 (sin.f64 B))))

Compiler

Compiled 1105 to 489 computations (55.7% saved)

regimes911.0ms (16.9%)

Accuracy

Total 0.1b remaining (81.6%)

Threshold costs 0.1b (81.6%)

Compiler

Compiled 11920 to 8058 computations (32.4% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`neg-mul-1_binary64` `neg-sub0_binary64`
3×	`unsub-neg_binary64` `+-commutative_binary64`
2×	`sub-neg_binary64` `-lft-identity_binary64` `-commutative_binary64`
1×	`1-exp_binary64` `*-rgt-identity_binary64` `distribute-frac-neg_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	20	14
2	29	14
3	31	14
4	32	14
5	30	14

end1.0ms (0%)

Compiler: Compiled 11 to 8 computations (27.3% saved)

sample1.7s (31.2%)

Algorithm

1×

intervals

Results

624.0ms	2301×	body	1024	valid
286.0ms	3973×	body	128	valid
218.0ms	1142×	body	512	valid
81.0ms	573×	body	256	valid
18.0ms	217×	body	128	invalid
6.0ms	11×	body	2048	valid
0.0ms	1×	body	1024	invalid

Compiler

Compiled 182 to 107 computations (41.2% saved)

Iter	Nodes	Cost
0	11	19
1	24	14
2	45	14
3	73	14
4	102	14
5	129	14
6	136	14
7	171	14
8	162	14
9	168	14
10	165	14
11	140	14

Iter	Nodes	Cost
0	11	19
1	24	14
2	45	14
3	73	14
4	102	14
5	129	14
6	136	14
7	171	14
8	162	14
9	168	14
10	165	14
11	140	14

Details

analyze986.0ms (18.3%)

sample54.0ms (1%)

simplify15.0ms (0.3%)

prune8.0ms (0.1%)

localize9.0ms (0.2%)

rewrite144.0ms (2.7%)

series125.0ms (2.3%)

simplify95.0ms (1.8%)

prune41.0ms (0.8%)

localize9.0ms (0.2%)

rewrite164.0ms (3.1%)

series112.0ms (2.1%)

simplify106.0ms (2%)

prune48.0ms (0.9%)

localize10.0ms (0.2%)

rewrite137.0ms (2.5%)

series118.0ms (2.2%)

simplify97.0ms (1.8%)

prune54.0ms (1%)

localize10.0ms (0.2%)

rewrite146.0ms (2.7%)

series111.0ms (2.1%)

simplify132.0ms (2.5%)

prune56.0ms (1%)

regimes911.0ms (16.9%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample1.7s (31.2%)

Profiling

Iter	Nodes	Cost
0	11	19
1	24	14
2	45	14
3	73	14
4	102	14
5	129	14
6	136	14
7	171	14
8	162	14
9	168	14
10	165	14
11	140	14