Details

analyze2.9s (12.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4958	136
1	4958	136
0	3	3
1	3	3

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)

sample237.0ms (1.1%)

Algorithm

1×

intervals

Results

72.0ms	54×	body	1024	valid
40.0ms	32×	body	1024	invalid
34.0ms	160×	body	128	valid
21.0ms	24×	body	512	valid
18.0ms	22×	body	512	invalid
9.0ms	3×	body	2048	valid
6.0ms	14×	body	256	valid
6.0ms	1×	body	4096	valid
5.0ms	12×	body	256	invalid
2.0ms	13×	body	128	invalid

Compiler

Compiled 43 to 42 computations (2.3% saved)

simplify238.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (232.0ms)

Iter	Nodes	Cost
0	5252	34

prune6.0ms (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

20.4b

Counts

2 → 1

Compiler

Compiled 42 to 38 computations (9.5% saved)

localize28.0ms (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))
25.4b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
25.5b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite221.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

19.5b

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:

21.0ms	(*.f64 PI.f64 (/.f64 angle 180))
12.0ms	(*.f64 PI.f64 (/.f64 angle 180))
4.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
3.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 2162 to 1535 computations (29% saved)

series250.0ms (1.1%)

Error

19.9b

Counts

4 → 16

Calls

4 calls:

59.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
57.0ms	(*.f64 PI.f64 (/.f64 angle 180))
49.0ms	(*.f64 PI.f64 (/.f64 angle 180))
40.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 1030 to 849 computations (17.6% saved)

simplify115.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	5040	1145

prune513.0ms (2.3%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	72	22	94
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	73	22	95

Error

19.3b

Counts

95 → 22

Compiler

Compiled 3044 to 2248 computations (26.1% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 b (sin.f64 (.f64 PI.f64 (/.f64 angle 180))))
0.3b	(pow.f64 (.f64 b (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) 2)
0.3b	(*.f64 PI.f64 (/.f64 angle 180))
25.4b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite153.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

19.3b

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:

10.0ms	(*.f64 PI.f64 (/.f64 angle 180))
5.0ms	(.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)
3.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 1716 to 1285 computations (25.1% saved)

series439.0ms (2%)

Error

19.3b

Counts

4 → 27

Calls

4 calls:

201.0ms	(pow.f64 (.f64 b (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) 2)
127.0ms	(.f64 b (sin.f64 (.f64 PI.f64 (/.f64 angle 180))))
36.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
35.0ms	(*.f64 PI.f64 (/.f64 angle 180))

Compiler

Compiled 1574 to 1352 computations (14.1% saved)

simplify94.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4950	1688
1	4950	1688

prune206.0ms (0.9%)

Pruning

26 alts after pruning (26 fresh and 0 done)

	Pruned	Kept	Total
New	93	9	102
Fresh	4	17	21
Picked	1	0	1
Done	0	0	0
Total	98	26	124

Error

19.3b

Counts

124 → 26

Compiler

Compiled 2936 to 2236 computations (23.8% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

23.4b	(cbrt.f64 (pow.f64 (.f64 b (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) 2))
25.4b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
25.4b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
25.4b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite121.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

19.3b

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:

4.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
4.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
4.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
3.0ms	(cbrt.f64 (pow.f64 (.f64 b (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) 2))

Compiler

Compiled 1727 to 1321 computations (23.5% saved)

series757.0ms (3.4%)

Error

19.3b

Counts

4 → 24

Calls

4 calls:

529.0ms	(cbrt.f64 (pow.f64 (.f64 b (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) 2))
63.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
61.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
41.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 2930 to 2378 computations (18.8% saved)

simplify68.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5234	1210

prune282.0ms (1.3%)

Pruning

27 alts after pruning (27 fresh and 0 done)

	Pruned	Kept	Total
New	55	4	59
Fresh	2	23	25
Picked	1	0	1
Done	0	0	0
Total	58	27	85

Error

19.3b

Counts

85 → 27

Compiler

Compiled 3636 to 2829 computations (22.2% saved)

localize47.0ms (0.2%)

Local error

Found 4 expressions with local error:

25.4b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
25.4b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
25.4b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
25.4b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite117.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

19.3b

Rules

4×	`pow1_binary64_139` `add-log-exp_binary64_117` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114` `add-cube-cbrt_binary64_113` `add-sqr-sqrt_binary64_100` `*-un-lft-identity_binary64_78`

Counts

4 → 28

Calls

4 calls:

3.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
3.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
3.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
3.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 1736 to 1336 computations (23% saved)

series343.0ms (1.5%)

Error

19.3b

Counts

4 → 24

Calls

4 calls:

60.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
60.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
59.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
43.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 3528 to 2813 computations (20.3% saved)

simplify202.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (176.0ms)

Iter	Nodes	Cost
0	5395	988

prune201.0ms (0.9%)

Pruning

28 alts after pruning (27 fresh and 1 done)

	Pruned	Kept	Total
New	50	2	52
Fresh	1	25	26
Picked	0	1	1
Done	0	0	0
Total	51	28	79

Error

19.3b

Counts

79 → 28

Compiler

Compiled 3232 to 2465 computations (23.7% saved)

regimes2.6s (11.8%)

Accuracy

Total 1.3b remaining (6.6%)

Threshold costs 0b (0%)

Compiler

Compiled 23760 to 20792 computations (12.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	32
1	25	32

end0.0ms (0%)

sample12.2s (54.5%)

Algorithm

1×

intervals

Results

2.1s	1619×	body	1024	valid
1.7s	1301×	body	1024	invalid
930.0ms	5061×	body	128	valid
617.0ms	750×	body	512	valid
615.0ms	686×	body	512	invalid
299.0ms	149×	body	2048	valid
188.0ms	415×	body	256	valid
181.0ms	367×	body	256	invalid
112.0ms	630×	body	128	invalid
44.0ms	6×	body	4096	valid

Compiler

Compiled 3426 to 3000 computations (12.4% saved)

Details

analyze2.9s (12.9%)

sample237.0ms (1.1%)

simplify238.0ms (1.1%)

prune6.0ms (0%)

localize28.0ms (0.1%)

rewrite221.0ms (1%)

series250.0ms (1.1%)

simplify115.0ms (0.5%)

prune513.0ms (2.3%)

localize19.0ms (0.1%)

rewrite153.0ms (0.7%)

series439.0ms (2%)

simplify94.0ms (0.4%)

prune206.0ms (0.9%)

localize19.0ms (0.1%)

rewrite121.0ms (0.5%)

series757.0ms (3.4%)

simplify68.0ms (0.3%)

prune282.0ms (1.3%)

localize47.0ms (0.2%)

rewrite117.0ms (0.5%)

series343.0ms (1.5%)

simplify202.0ms (0.9%)

prune201.0ms (0.9%)

regimes2.6s (11.8%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample12.2s (54.5%)

Profiling