Details

analyze996.0ms (17.5%)

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)

sample51.0ms (0.9%)

Algorithm

1×

intervals

Results

17.0ms	62×	body	1024	valid
11.0ms	140×	body	128	valid
7.0ms	36×	body	512	valid
2.0ms	18×	body	256	valid
0.0ms	7×	body	128	invalid

Compiler

Compiled 31 to 25 computations (19.4% saved)

simplify16.0ms (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
	0.2b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
▶	0.1b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))

Compiler

Compiled 61 to 46 computations (24.6% saved)

localize16.0ms (0.3%)

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))

rewrite137.0ms (2.4%)

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)

series129.0ms (2.3%)

Error

0.1b

Counts

3 → 27

Calls

3 calls:

50.0ms	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
42.0ms	(/.f64 x (tan.f64 B))
19.0ms	(/.f64 1 (sin.f64 B))

Compiler

Compiled 880 to 578 computations (34.3% saved)

simplify145.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

343×	`associate-+l+_binary64`
324×	`associate-/l*_binary64`
254×	`associate-r_binary64`
248×	`associate-l_binary64`
224×	`associate-+r+_binary64`

Counts

121 → 59

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	187	1787
1	471	1743
2	1287	1728
3	3996	1722
4	4551	1722
5	4995	1722
6	4886	1722

prune45.0ms (0.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	53	6	59
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	54	7	61

Error

0.0b

Counts

61 → 7

Alt Table

Status	Error	Program
	25.3b	(/.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))))
▶	0.2b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
	33.3b	(-.f64 (*.f64 (/.f64 1 (sqrt.f64 (sin.f64 B))) (/.f64 1 (sqrt.f64 (sin.f64 B)))) (/.f64 x (tan.f64 B)))
	16.0b	(-.f64 (cbrt.f64 (pow.f64 (/.f64 1 (sin.f64 B)) 3)) (/.f64 x (tan.f64 B)))
	31.0b	(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (tan.f64 B))))
	33.2b	(neg.f64 (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B)))
	10.1b	(/.f64 (-.f64 (tan.f64 B) (.f64 (sin.f64 B) x)) (.f64 (sin.f64 B) (tan.f64 B)))

Compiler

Compiled 782 to 436 computations (44.2% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite158.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

35×	`add-sqr-sqrt_binary64`
32×	`*-un-lft-identity_binary64`
29×	`times-frac_binary64`
28×	`add-cube-cbrt_binary64`
21×	`add-exp-log_binary64`

Counts

4 → 117

Calls

4 calls:

8.0ms	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
8.0ms	(*.f64 x (/.f64 1 (tan.f64 B)))
4.0ms	(/.f64 1 (tan.f64 B))
3.0ms	(/.f64 1 (sin.f64 B))

Compiler

Compiled 2064 to 1237 computations (40.1% saved)

series137.0ms (2.4%)

Error

0.0b

Counts

4 → 33

Calls

4 calls:

53.0ms	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
36.0ms	(*.f64 x (/.f64 1 (tan.f64 B)))
17.0ms	(/.f64 1 (tan.f64 B))
10.0ms	(/.f64 1 (sin.f64 B))

Compiler

Compiled 1179 to 805 computations (31.7% saved)

simplify125.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

439×	`neg-mul-1_binary64`
377×	`div-sub_binary64`
358×	`associate-+l+_binary64`
235×	`associate-+r+_binary64`
234×	`sub-neg_binary64`

Counts

150 → 95

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	177	1947
1	437	1787
2	1263	1767
3	3384	1767
4	4414	1767
5	5094	1767

prune69.0ms (1.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	94	1	95
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	95	7	102

Error

0.0b

Counts

102 → 7

Alt Table

Status	Error	Program
	25.3b	(/.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))))
▶	0.2b	(+.f64 (neg.f64 (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) (/.f64 1 (sin.f64 B)))
✓	0.2b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
	33.3b	(-.f64 (*.f64 (/.f64 1 (sqrt.f64 (sin.f64 B))) (/.f64 1 (sqrt.f64 (sin.f64 B)))) (/.f64 x (tan.f64 B)))
	16.0b	(-.f64 (cbrt.f64 (pow.f64 (/.f64 1 (sin.f64 B)) 3)) (/.f64 x (tan.f64 B)))
	31.0b	(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (tan.f64 B))))
	10.1b	(/.f64 (-.f64 (tan.f64 B) (.f64 (sin.f64 B) x)) (.f64 (sin.f64 B) (tan.f64 B)))

Compiler

Compiled 1267 to 718 computations (43.3% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite141.0ms (2.5%)

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-l_binary64`

Counts

4 → 106

Calls

4 calls:

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

Compiler

Compiled 2055 to 724 computations (64.8% saved)

series128.0ms (2.2%)

Error

0.0b

Counts

4 → 36

Calls

4 calls:

45.0ms	(+.f64 (neg.f64 (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) (/.f64 1 (sin.f64 B)))
30.0ms	(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
24.0ms	(/.f64 x (sin.f64 B))
10.0ms	(/.f64 1 (sin.f64 B))

Compiler

Compiled 1301 to 838 computations (35.6% saved)

simplify160.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

459×	`associate-*l/_binary64`
364×	`times-frac_binary64`
346×	`associate-/l*_binary64`
327×	`associate-*r/_binary64`
176×	`cancel-sign-sub-inv_binary64`

Counts

142 → 79

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	190	2223
1	482	2068
2	1499	2035
3	4197	2035
4	4993	2035
5	4998	2035
6	4984	2035

prune75.0ms (1.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	77	2	79
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	78	8	86

Error

Counts

86 → 8

Alt Table

Status	Error	Program
	25.3b	(/.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))))
✓	0.2b	(+.f64 (neg.f64 (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) (/.f64 1 (sin.f64 B)))
✓	0.2b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
	33.3b	(-.f64 (*.f64 (/.f64 1 (sqrt.f64 (sin.f64 B))) (/.f64 1 (sqrt.f64 (sin.f64 B)))) (/.f64 x (tan.f64 B)))
	16.0b	(-.f64 (cbrt.f64 (pow.f64 (/.f64 1 (sin.f64 B)) 3)) (/.f64 x (tan.f64 B)))
	34.4b	(/.f64 (-.f64 (/.f64 1 (pow.f64 (sin.f64 B) 3)) (pow.f64 (/.f64 (.f64 x (cos.f64 B)) (sin.f64 B)) 3)) (+.f64 (/.f64 1 (.f64 (sin.f64 B) (sin.f64 B))) (.f64 (/.f64 (.f64 x (cos.f64 B)) (sin.f64 B)) (+.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))))))
	10.1b	(/.f64 (-.f64 (tan.f64 B) (.f64 (sin.f64 B) x)) (.f64 (sin.f64 B) (tan.f64 B)))
▶	0.7b	(+.f64 (neg.f64 (.f64 (.f64 (cbrt.f64 (/.f64 x (sin.f64 B))) (cbrt.f64 (/.f64 x (sin.f64 B)))) (*.f64 (cos.f64 B) (cbrt.f64 (/.f64 x (sin.f64 B)))))) (/.f64 1 (sin.f64 B)))

Compiler

Compiled 1561 to 690 computations (55.8% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (/.f64 x (sin.f64 B))) (cbrt.f64 (/.f64 x (sin.f64 B))))
0.6b	(cbrt.f64 (/.f64 x (sin.f64 B)))
0.6b	(cbrt.f64 (/.f64 x (sin.f64 B)))
0.6b	(cbrt.f64 (/.f64 x (sin.f64 B)))

rewrite190.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

103×	`cbrt-prod_binary64`
81×	`add-sqr-sqrt_binary64`
69×	`times-frac_binary64`
57×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
16×	`swap-sqr_binary64` `associate-l_binary64` `associate-r_binary64`

Counts

4 → 144

Calls

4 calls:

15.0ms	(*.f64 (cbrt.f64 (/.f64 x (sin.f64 B))) (cbrt.f64 (/.f64 x (sin.f64 B))))
3.0ms	(cbrt.f64 (/.f64 x (sin.f64 B)))
3.0ms	(cbrt.f64 (/.f64 x (sin.f64 B)))
3.0ms	(cbrt.f64 (/.f64 x (sin.f64 B)))

Compiler

Compiled 4864 to 1149 computations (76.4% saved)

series248.0ms (4.4%)

Error

Counts

4 → 28

Calls

4 calls:

68.0ms	(*.f64 (cbrt.f64 (/.f64 x (sin.f64 B))) (cbrt.f64 (/.f64 x (sin.f64 B))))
56.0ms	(cbrt.f64 (/.f64 x (sin.f64 B)))
51.0ms	(cbrt.f64 (/.f64 x (sin.f64 B)))
50.0ms	(cbrt.f64 (/.f64 x (sin.f64 B)))

Compiler

Compiled 2686 to 1575 computations (41.4% saved)

simplify169.0ms (3%)

Algorithm

1×	egg-herbie

Rules

688×	`times-frac_binary64`
344×	`associate-/l*_binary64`
338×	`unswap-sqr_binary64`
286×	`*-commutative_binary64`
279×	`log-prod_binary64`

Counts

172 → 117

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	182	3937
1	331	3624
2	930	3400
3	1545	3046
4	4638	3046
5	5139	3046

prune91.0ms (1.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	117	8	125

Error

Counts

125 → 8

Alt Table

Status	Error	Program
	25.3b	(/.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))))
	0.2b	(+.f64 (neg.f64 (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))) (/.f64 1 (sin.f64 B)))
	0.2b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
	33.3b	(-.f64 (*.f64 (/.f64 1 (sqrt.f64 (sin.f64 B))) (/.f64 1 (sqrt.f64 (sin.f64 B)))) (/.f64 x (tan.f64 B)))
	16.0b	(-.f64 (cbrt.f64 (pow.f64 (/.f64 1 (sin.f64 B)) 3)) (/.f64 x (tan.f64 B)))
	34.4b	(/.f64 (-.f64 (/.f64 1 (pow.f64 (sin.f64 B) 3)) (pow.f64 (/.f64 (.f64 x (cos.f64 B)) (sin.f64 B)) 3)) (+.f64 (/.f64 1 (.f64 (sin.f64 B) (sin.f64 B))) (.f64 (/.f64 (.f64 x (cos.f64 B)) (sin.f64 B)) (+.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 x (cos.f64 B)) (sin.f64 B))))))
	10.1b	(/.f64 (-.f64 (tan.f64 B) (.f64 (sin.f64 B) x)) (.f64 (sin.f64 B) (tan.f64 B)))
	0.7b	(+.f64 (neg.f64 (.f64 (.f64 (cbrt.f64 (/.f64 x (sin.f64 B))) (cbrt.f64 (/.f64 x (sin.f64 B)))) (*.f64 (cos.f64 B) (cbrt.f64 (/.f64 x (sin.f64 B)))))) (/.f64 1 (sin.f64 B)))

Compiler

Compiled 2798 to 928 computations (66.8% saved)

regimes685.0ms (12%)

Accuracy

Total 0.1b remaining (82.5%)

Threshold costs 0.1b (82.5%)

Compiler

Compiled 8597 to 5884 computations (31.6% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`sub-neg_binary64` `+-commutative_binary64`
2×	`neg-mul-1_binary64` `neg-sub0_binary64` `*-commutative_binary64`
1×	`1-exp_binary64` `/-rgt-identity_binary64` `distribute-neg-frac_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	14
1	15	14
2	21	14
3	25	14
4	28	14
5	29	14
6	27	14

end1.0ms (0%)

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

sample1.7s (30.5%)

Algorithm

1×

intervals

Results

651.0ms	2297×	body	1024	valid
292.0ms	3976×	body	128	valid
228.0ms	1170×	body	512	valid
82.0ms	555×	body	256	valid
10.0ms	155×	body	128	invalid
1.0ms	2×	body	2048	valid
0.0ms	1×	body	1024	invalid

Compiler

Compiled 206 to 125 computations (39.3% 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

analyze996.0ms (17.5%)

sample51.0ms (0.9%)

simplify16.0ms (0.3%)

prune8.0ms (0.1%)

localize16.0ms (0.3%)

rewrite137.0ms (2.4%)

series129.0ms (2.3%)

simplify145.0ms (2.6%)

prune45.0ms (0.8%)

localize10.0ms (0.2%)

rewrite158.0ms (2.8%)

series137.0ms (2.4%)

simplify125.0ms (2.2%)

prune69.0ms (1.2%)

localize10.0ms (0.2%)

rewrite141.0ms (2.5%)

series128.0ms (2.2%)

simplify160.0ms (2.8%)

prune75.0ms (1.3%)

localize15.0ms (0.3%)

rewrite190.0ms (3.3%)

series248.0ms (4.4%)

simplify169.0ms (3%)

prune91.0ms (1.6%)

regimes685.0ms (12%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample1.7s (30.5%)

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