Details

analyze16.8s (25.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
2.3%	97.4%	0.2%	9
3.5%	96.2%	0.2%	10
5.3%	94.5%	0.2%	11
6.1%	93.6%	0.2%	12
9.2%	90.6%	0.2%	13
13.8%	85.9%	0.2%	14

Compiler

Compiled 170 to 127 computations (25.3% saved)

sample1.6s (2.4%)

Algorithm

1×

intervals

Results

592.0ms	60×	body	4096	valid
321.0ms	53×	body	2048	valid
281.0ms	4×	body	8192	exit
204.0ms	43×	body	1024	valid
89.0ms	25×	body	512	valid
47.0ms	64×	body	128	valid
21.0ms	11×	body	256	valid

Compiler

Compiled 339 to 258 computations (23.9% saved)

simplify132.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5229	273

prune16.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

56.4b

Counts

2 → 1

Compiler

Compiled 338 to 245 computations (27.5% saved)

localize65.0ms (0.1%)

Local error

Found 4 expressions with local error:

27.6b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
27.6b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
27.6b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
27.6b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

rewrite22.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`

Counts

4 → 28

Calls

4 calls:

4.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

series68.0ms (0.1%)

Counts

4 → 12

Calls

4 calls:

25.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
18.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
13.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
12.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

simplify98.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4790	636
1	4790	636

prune601.0ms (0.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	34	6	40
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	35	6	41

Error

55.8b

Counts

41 → 6

Compiler

Compiled 8043 to 5772 computations (28.2% saved)

localize71.0ms (0.1%)

Local error

Found 4 expressions with local error:

27.6b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
27.6b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
27.6b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
27.6b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

rewrite24.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`

Counts

4 → 28

Calls

4 calls:

3.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

series50.0ms (0.1%)

Counts

4 → 12

Calls

4 calls:

14.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
13.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
12.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
11.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

simplify96.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4790	636
1	4790	636

prune418.0ms (0.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	39	1	40
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	40	6	46

Error

55.8b

Counts

46 → 6

Compiler

Compiled 7954 to 5726 computations (28% saved)

localize73.0ms (0.1%)

Local error

Found 4 expressions with local error:

27.6b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
27.6b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
27.6b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
27.6b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

rewrite23.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`

Counts

4 → 28

Calls

4 calls:

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

series52.0ms (0.1%)

Counts

4 → 12

Calls

4 calls:

14.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
14.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
13.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
11.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

simplify96.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4790	636
1	4790	636

prune408.0ms (0.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	40	0	40
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	40	6	46

Error

55.8b

Counts

46 → 6

Compiler

Compiled 7822 to 5637 computations (27.9% saved)

localize75.0ms (0.1%)

Local error

Found 4 expressions with local error:

27.6b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
27.6b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
27.6b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
28.1b	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))

rewrite20.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`

Counts

4 → 28

Calls

4 calls:

3.0ms	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))
2.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

series58.0ms (0.1%)

Counts

4 → 12

Calls

4 calls:

19.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
14.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
12.0ms	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))
12.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

simplify116.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	4777	636
1	4777	636

prune363.0ms (0.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	40	0	40
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	40	6	46

Error

55.8b

Counts

46 → 6

Compiler

Compiled 6984 to 4939 computations (29.3% saved)

regimes939.0ms (1.4%)

Accuracy

Total 1.3b remaining (2.4%)

Threshold costs 0b (0%)

Compiler

Compiled 16954 to 12754 computations (24.8% saved)

bsearch0.0ms (0%)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	161	277
1	161	277

end0.0ms (0%)

sample44.5s (66.6%)

Algorithm

1×

intervals

Results

15.4s	1608×	body	4096	valid
8.7s	1437×	body	2048	valid
7.8s	1622×	body	1024	valid
6.0s	90×	body	8192	exit
2.3s	709×	body	512	valid
1.7s	2275×	body	128	valid
684.0ms	349×	body	256	valid

Compiler

Compiled 1759 to 1322 computations (24.8% saved)

Details

analyze16.8s (25.2%)

sample1.6s (2.4%)

simplify132.0ms (0.2%)

prune16.0ms (0%)

localize65.0ms (0.1%)

rewrite22.0ms (0%)

series68.0ms (0.1%)

simplify98.0ms (0.1%)

prune601.0ms (0.9%)

localize71.0ms (0.1%)

rewrite24.0ms (0%)

series50.0ms (0.1%)

simplify96.0ms (0.1%)

prune418.0ms (0.6%)

localize73.0ms (0.1%)

rewrite23.0ms (0%)

series52.0ms (0.1%)

simplify96.0ms (0.1%)

prune408.0ms (0.6%)

localize75.0ms (0.1%)

rewrite20.0ms (0%)

series58.0ms (0.1%)

simplify116.0ms (0.2%)

prune363.0ms (0.5%)

regimes939.0ms (1.4%)

bsearch0.0ms (0%)

simplify6.0ms (0%)

end0.0ms (0%)

sample44.5s (66.6%)

Profiling