Details

analyze1.5s (9.6%)

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
25%	74.9%	0.1%	6
25%	74.9%	0.1%	7
25%	62.4%	12.6%	8
31.2%	56.2%	12.6%	9
34.3%	53%	12.6%	10
42.9%	44.5%	12.6%	11
46.8%	40.6%	12.6%	12
47.8%	39.6%	12.6%	13
52.6%	34.8%	12.6%	14

Compiler

Compiled 22 to 20 computations (9.1% saved)

sample180.0ms (1.1%)

Algorithm

1×

intervals

Results

52.0ms	55×	body	1024	valid
38.0ms	43×	body	1024	invalid
19.0ms	149×	body	128	valid
19.0ms	33×	body	512	valid
14.0ms	24×	body	512	invalid
7.0ms	4×	body	2048	valid
5.0ms	15×	body	256	valid
4.0ms	12×	body	256	invalid
4.0ms	28×	body	128	invalid

Compiler

Compiled 43 to 42 computations (2.3% saved)

simplify240.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (148.0ms)

Iter	Nodes	Cost
0	5252	34

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

23.1b

Counts

2 → 1

Compiler

Compiled 42 to 38 computations (9.5% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 PI.f64 (/.f64 angle 180))
0.3b	(*.f64 PI.f64 (/.f64 angle 180))
28.3b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
28.3b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite173.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

22.1b

Rules

30×	`add-sqr-sqrt_binary64_100`
26×	`associate-r_binary64_18`
20×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78` `times-frac_binary64_84`
14×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
8×	`pow1_binary64_139`
6×	`associate-l_binary64_19`
4×	`add-log-exp_binary64_117` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `unswap-sqr_binary64_46`
2×	`pow-prod-down_binary64_149` `div-exp_binary64_129` `cbrt-undiv_binary64_112` `associate-r/_binary64_20` `div-inv_binary64_75` `-commutative_binary64_9`

Counts

4 → 78

Calls

4 calls:

7.0ms	(*.f64 PI.f64 (/.f64 angle 180))
7.0ms	(*.f64 PI.f64 (/.f64 angle 180))
2.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
2.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 2162 to 1535 computations (29% saved)

series110.0ms (0.7%)

Error

22.1b

Counts

4 → 13

Calls

4 calls:

31.0ms	(*.f64 PI.f64 (/.f64 angle 180))
25.0ms	(*.f64 PI.f64 (/.f64 angle 180))
22.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
16.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 820 to 686 computations (16.3% saved)

simplify80.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4935	1034
1	4935	1034

prune200.0ms (1.3%)

Pruning

27 alts after pruning (27 fresh and 0 done)

	Pruned	Kept	Total
New	64	27	91
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	27	92

Error

21.4b

Counts

92 → 27

Compiler

Compiled 3081 to 2248 computations (27% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(pow.f64 (.f64 b (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) 2)
0.2b	(.f64 b (sin.f64 (.f64 PI.f64 (/.f64 angle 180))))
0.3b	(*.f64 PI.f64 (/.f64 angle 180))
28.3b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite136.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

21.4b

Rules

22×	`add-sqr-sqrt_binary64_100`
16×	`associate-r_binary64_18`
15×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
14×	`add-exp-log_binary64_116`
11×	`pow1_binary64_139` `add-cbrt-cube_binary64_114`
10×	`times-frac_binary64_84`
6×	`associate-l_binary64_19`
4×	`add-log-exp_binary64_117` `prod-exp_binary64_127`
3×	`pow-prod-down_binary64_149` `cbrt-unprod_binary64_111` `unswap-sqr_binary64_46` `pow-unpow_binary64_155`
2×	`*-commutative_binary64_9` `pow-pow_binary64_150` `pow-exp_binary64_146`
1×	`div-exp_binary64_129` `cbrt-undiv_binary64_112` `associate-*r/_binary64_20` `div-inv_binary64_75` `unpow-prod-down_binary64_157` `pow-to-exp_binary64_147` `unpow2_binary64_143` `sqr-pow_binary64_50`

Counts

4 → 75

Calls

4 calls:

7.0ms	(*.f64 PI.f64 (/.f64 angle 180))
4.0ms	(.f64 b (sin.f64 (.f64 PI.f64 (/.f64 angle 180))))
4.0ms	(pow.f64 (.f64 b (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) 2)
2.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 1716 to 1285 computations (25.1% saved)

series277.0ms (1.8%)

Error

21.4b

Counts

4 → 18

Calls

4 calls:

120.0ms	(pow.f64 (.f64 b (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) 2)
93.0ms	(.f64 b (sin.f64 (.f64 PI.f64 (/.f64 angle 180))))
28.0ms	(*.f64 PI.f64 (/.f64 angle 180))
15.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 933 to 842 computations (9.8% saved)

simplify63.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4969	1268
1	4969	1268

prune183.0ms (1.2%)

Pruning

34 alts after pruning (34 fresh and 0 done)

	Pruned	Kept	Total
New	80	13	93
Fresh	5	21	26
Picked	1	0	1
Done	0	0	0
Total	86	34	120

Error

21.4b

Counts

120 → 34

Compiler

Compiled 2793 to 2121 computations (24.1% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

24.6b	(cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/180 (*.f64 angle PI.f64))) b) 2))
28.1b	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))
28.1b	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))
28.1b	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))

rewrite101.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

21.4b

Rules

6×	`cbrt-prod_binary64_109`
5×	`add-cube-cbrt_binary64_113` `add-sqr-sqrt_binary64_100` `*-un-lft-identity_binary64_78`
4×	`pow1_binary64_139` `add-log-exp_binary64_117` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
1×	`pow1/3_binary64_160` `unpow-prod-down_binary64_157` `unpow2_binary64_143` `sqr-pow_binary64_50`

Counts

4 → 35

Calls

4 calls:

3.0ms	(cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/180 (*.f64 angle PI.f64))) b) 2))
3.0ms	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))
3.0ms	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))
3.0ms	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))

Compiler

Compiled 1727 to 1192 computations (31% saved)

series437.0ms (2.8%)

Error

21.4b

Counts

4 → 15

Calls

4 calls:

340.0ms	(cbrt.f64 (pow.f64 (.f64 (sin.f64 (.f64 1/180 (*.f64 angle PI.f64))) b) 2))
21.0ms	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))
21.0ms	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))
21.0ms	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))

Compiler

Compiled 2000 to 1561 computations (22% saved)

simplify103.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	4944	753
1	4944	753

prune164.0ms (1%)

Pruning

35 alts after pruning (34 fresh and 1 done)

	Pruned	Kept	Total
New	48	2	50
Fresh	1	32	33
Picked	0	1	1
Done	0	0	0
Total	49	35	84

Error

21.4b

Counts

84 → 35

Compiler

Compiled 3168 to 2338 computations (26.2% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 b)
0.5b	(cbrt.f64 b)
0.5b	(cbrt.f64 b)
28.1b	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))

rewrite61.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

21.4b

Rules

9×	`cbrt-prod_binary64_109`
7×	`add-cube-cbrt_binary64_113` `add-sqr-sqrt_binary64_100` `*-un-lft-identity_binary64_78`
4×	`pow1_binary64_139` `add-log-exp_binary64_117` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
3×	`pow1/3_binary64_160`

Counts

4 → 40

Calls

4 calls:

2.0ms	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))
1.0ms	(cbrt.f64 b)
1.0ms	(cbrt.f64 b)
1.0ms	(cbrt.f64 b)

Compiler

Compiled 1107 to 586 computations (47.1% saved)

series263.0ms (1.7%)

Error

21.4b

Counts

4 → 12

Calls

4 calls:

80.0ms	(cbrt.f64 b)
80.0ms	(cbrt.f64 b)
73.0ms	(cbrt.f64 b)
17.0ms	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))

Compiler

Compiled 907 to 717 computations (20.9% saved)

simplify52.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5065	370

prune66.0ms (0.4%)

Pruning

36 alts after pruning (35 fresh and 1 done)

	Pruned	Kept	Total
New	48	4	52
Fresh	2	31	33
Picked	1	0	1
Done	0	1	1
Total	51	36	87

Error

21.4b

Counts

87 → 36

Compiler

Compiled 1355 to 742 computations (45.2% saved)

regimes2.0s (12.7%)

Accuracy

Total 1.4b remaining (6.8%)

Threshold costs 0b (0%)

Compiler

Compiled 25744 to 22262 computations (13.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	22
1	21	22

end0.0ms (0%)

sample9.3s (58.8%)

Algorithm

1×

intervals

Results

1.5s	1628×	body	1024	valid
1.2s	1297×	body	1024	invalid
658.0ms	5057×	body	128	valid
432.0ms	746×	body	512	valid
417.0ms	693×	body	512	invalid
260.0ms	193×	body	2048	valid
122.0ms	373×	body	256	valid
110.0ms	318×	body	256	invalid
86.0ms	650×	body	128	invalid
14.0ms	3×	body	4096	valid

Compiler

Compiled 4316 to 3734 computations (13.5% saved)

Details

analyze1.5s (9.6%)

sample180.0ms (1.1%)

simplify240.0ms (1.5%)

prune3.0ms (0%)

localize18.0ms (0.1%)

rewrite173.0ms (1.1%)

series110.0ms (0.7%)

simplify80.0ms (0.5%)

prune200.0ms (1.3%)

localize14.0ms (0.1%)

rewrite136.0ms (0.9%)

series277.0ms (1.8%)

simplify63.0ms (0.4%)

prune183.0ms (1.2%)

localize18.0ms (0.1%)

rewrite101.0ms (0.6%)

series437.0ms (2.8%)

simplify103.0ms (0.7%)

prune164.0ms (1%)

localize16.0ms (0.1%)

rewrite61.0ms (0.4%)

series263.0ms (1.7%)

simplify52.0ms (0.3%)

prune66.0ms (0.4%)

regimes2.0s (12.7%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample9.3s (58.8%)

Profiling