Details

analyze3.5s (10.5%)

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)

sample333.0ms (1%)

Algorithm

1×

intervals

Results

93.0ms	57×	body	1024	valid
89.0ms	48×	body	1024	invalid
32.0ms	150×	body	128	valid
30.0ms	29×	body	512	valid
20.0ms	18×	body	512	invalid
18.0ms	7×	body	2048	valid
7.0ms	13×	body	256	valid
7.0ms	11×	body	256	invalid
5.0ms	21×	body	128	invalid

Compiler

Compiled 43 to 42 computations (2.3% saved)

simplify286.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (276.0ms)

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

22.6b

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))
26.3b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
26.5b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite366.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

21.4b

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:

15.0ms	(*.f64 PI.f64 (/.f64 angle 180))
15.0ms	(*.f64 PI.f64 (/.f64 angle 180))
4.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
3.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 2162 to 1535 computations (29% saved)

series242.0ms (0.7%)

Error

21.7b

Counts

4 → 15

Calls

4 calls:

62.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
56.0ms	(*.f64 PI.f64 (/.f64 angle 180))
49.0ms	(*.f64 PI.f64 (/.f64 angle 180))
28.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 968 to 797 computations (17.7% saved)

simplify173.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (140.0ms)

Iter	Nodes	Cost
0	4937	1128
1	4937	1128

prune400.0ms (1.2%)

Pruning

29 alts after pruning (29 fresh and 0 done)

	Pruned	Kept	Total
New	64	29	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	29	94

Error

21.0b

Counts

94 → 29

Compiler

Compiled 3237 to 2364 computations (27% saved)

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(.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))
26.5b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite282.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

20.8b

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:

14.0ms	(*.f64 PI.f64 (/.f64 angle 180))
9.0ms	(.f64 b (sin.f64 (.f64 PI.f64 (/.f64 angle 180))))
8.0ms	(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)

series694.0ms (2.1%)

Error

21.0b

Counts

4 → 27

Calls

4 calls:

317.0ms	(pow.f64 (.f64 b (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) 2)
208.0ms	(.f64 b (sin.f64 (.f64 PI.f64 (/.f64 angle 180))))
52.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
47.0ms	(*.f64 PI.f64 (/.f64 angle 180))

Compiler

Compiled 1574 to 1352 computations (14.1% saved)

simplify182.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (141.0ms)

Iter	Nodes	Cost
0	4950	1688
1	4950	1688

prune402.0ms (1.2%)

Pruning

38 alts after pruning (38 fresh and 0 done)

	Pruned	Kept	Total
New	88	14	102
Fresh	4	24	28
Picked	1	0	1
Done	0	0	0
Total	93	38	131

Error

20.7b

Counts

131 → 38

Compiler

Compiled 3248 to 2510 computations (22.7% saved)

localize40.0ms (0.1%)

Local error

Found 4 expressions with local error:

25.5b	(cbrt.f64 (pow.f64 (.f64 b (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) 2))
26.5b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
26.5b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
26.5b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite200.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

20.7b

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:

5.0ms	(cbrt.f64 (pow.f64 (.f64 b (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) 2))
4.0ms	(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 1727 to 1321 computations (23.5% saved)

series1.1s (3.3%)

Error

20.7b

Counts

4 → 27

Calls

4 calls:

763.0ms	(cbrt.f64 (pow.f64 (.f64 b (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) 2))
73.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
66.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
57.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 3489 to 2826 computations (19% saved)

simplify140.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (108.0ms)

Iter	Nodes	Cost
0	4909	1450
1	4909	1450

prune398.0ms (1.2%)

Pruning

37 alts after pruning (36 fresh and 1 done)

	Pruned	Kept	Total
New	56	6	62
Fresh	7	30	37
Picked	0	1	1
Done	0	0	0
Total	63	37	100

Error

20.7b

Counts

100 → 37

Compiler

Compiled 4131 to 3214 computations (22.2% saved)

localize61.0ms (0.2%)

Local error

Found 4 expressions with local error:

26.5b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
26.5b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
26.5b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
26.5b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite167.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

20.7b

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:

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

Compiler

Compiled 1820 to 1392 computations (23.5% saved)

series457.0ms (1.4%)

Error

20.7b

Counts

4 → 24

Calls

4 calls:

88.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
81.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
76.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
76.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 3696 to 2925 computations (20.9% saved)

simplify277.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (248.0ms)

Iter	Nodes	Cost
0	5395	988

prune300.0ms (0.9%)

Pruning

38 alts after pruning (37 fresh and 1 done)

	Pruned	Kept	Total
New	49	3	52
Fresh	1	34	35
Picked	1	0	1
Done	0	1	1
Total	51	38	89

Error

20.7b

Counts

89 → 38

Compiler

Compiled 3388 to 2569 computations (24.2% saved)

regimes4.0s (11.9%)

Accuracy

Total 1.4b remaining (6.6%)

Threshold costs 0b (0%)

Compiler

Compiled 28168 to 24626 computations (12.6% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	22
1	21	22

end0.0ms (0%)

sample19.4s (58%)

Algorithm

1×

intervals

Results

2.8s	1658×	body	1024	valid
2.3s	1361×	body	1024	invalid
1.1s	4968×	body	128	valid
876.0ms	790×	body	512	valid
719.0ms	654×	body	512	invalid
498.0ms	193×	body	2048	valid
240.0ms	388×	body	256	valid
220.0ms	339×	body	256	invalid
146.0ms	642×	body	128	invalid
27.0ms	3×	body	4096	valid

Compiler

Compiled 4720 to 4128 computations (12.5% saved)

Details

analyze3.5s (10.5%)

sample333.0ms (1%)

simplify286.0ms (0.9%)

prune6.0ms (0%)

localize28.0ms (0.1%)

rewrite366.0ms (1.1%)

series242.0ms (0.7%)

simplify173.0ms (0.5%)

prune400.0ms (1.2%)

localize25.0ms (0.1%)

rewrite282.0ms (0.8%)

series694.0ms (2.1%)

simplify182.0ms (0.5%)

prune402.0ms (1.2%)

localize40.0ms (0.1%)

rewrite200.0ms (0.6%)

series1.1s (3.3%)

simplify140.0ms (0.4%)

prune398.0ms (1.2%)

localize61.0ms (0.2%)

rewrite167.0ms (0.5%)

series457.0ms (1.4%)

simplify277.0ms (0.8%)

prune300.0ms (0.9%)

regimes4.0s (11.9%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample19.4s (58%)

Profiling