Details

analyze16.8s (25.1%)

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)

sample1.4s (2.1%)

Algorithm

1×

intervals

Results

470.0ms	48×	body	4096	valid
287.0ms	60×	body	1024	valid
222.0ms	36×	body	2048	valid
206.0ms	3×	body	8192	exit
67.0ms	19×	body	512	valid
59.0ms	80×	body	128	valid
24.0ms	13×	body	256	valid

Compiler

Compiled 339 to 258 computations (23.9% saved)

simplify134.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (28.0ms)

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

52.8b

Counts

2 → 1

Compiler

Compiled 338 to 245 computations (27.5% saved)

localize64.0ms (0.1%)

Local error

Found 4 expressions with local error:

26.7b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
26.7b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
26.7b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
26.7b	(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))

series64.0ms (0.1%)

Counts

4 → 12

Calls

4 calls:

23.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
15.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
13.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
13.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

simplify104.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4790	636
1	4790	636

prune620.0ms (0.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	32	8	40
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	33	8	41

Error

51.4b

Counts

41 → 8

Compiler

Compiled 8414 to 6049 computations (28.1% saved)

localize70.0ms (0.1%)

Local error

Found 4 expressions with local error:

26.7b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
26.7b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
26.7b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
26.7b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

rewrite19.0ms (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))

series49.0ms (0.1%)

Counts

4 → 12

Calls

4 calls:

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

simplify102.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4790	636
1	4790	636

prune401.0ms (0.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	40	0	40
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	40	8	48

Error

51.4b

Counts

48 → 8

Compiler

Compiled 8245 to 5883 computations (28.6% saved)

localize74.0ms (0.1%)

Local error

Found 4 expressions with local error:

26.7b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
26.7b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
26.7b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
26.7b	(sin.f64 (*.f64 (/.f64 angle 180) 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:

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:

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

simplify101.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4790	636
1	4790	636

prune466.0ms (0.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	40	0	40
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	40	8	48

Error

51.4b

Counts

48 → 8

Compiler

Compiled 8739 to 6304 computations (27.9% saved)

localize70.0ms (0.1%)

Local error

Found 4 expressions with local error:

26.7b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
26.7b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
26.7b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
26.7b	(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))

series50.0ms (0.1%)

Counts

4 → 12

Calls

4 calls:

13.0ms	(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))

simplify97.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4790	636
1	4790	636

prune370.0ms (0.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	39	1	40
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	40	8	48

Error

51.4b

Counts

48 → 8

Compiler

Compiled 6984 to 4939 computations (29.3% saved)

regimes1.3s (2%)

Accuracy

Total 1.3b remaining (2.4%)

Threshold costs 0b (0%)

Compiler

Compiled 24659 to 18519 computations (24.9% saved)

bsearch0.0ms (0%)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	165	273
1	165	273

end0.0ms (0%)

sample44.3s (66.4%)

Algorithm

1×

intervals

Results

16.4s	1712×	body	4096	valid
8.3s	1363×	body	2048	valid
7.8s	1603×	body	1024	valid
5.2s	77×	body	8192	exit
2.2s	681×	body	512	valid
1.7s	2294×	body	128	valid
652.0ms	347×	body	256	valid

Compiler

Compiled 2298 to 1723 computations (25% saved)

Details

analyze16.8s (25.1%)

sample1.4s (2.1%)

simplify134.0ms (0.2%)

prune16.0ms (0%)

localize64.0ms (0.1%)

rewrite22.0ms (0%)

series64.0ms (0.1%)

simplify104.0ms (0.2%)

prune620.0ms (0.9%)

localize70.0ms (0.1%)

rewrite19.0ms (0%)

series49.0ms (0.1%)

simplify102.0ms (0.2%)

prune401.0ms (0.6%)

localize74.0ms (0.1%)

rewrite20.0ms (0%)

series52.0ms (0.1%)

simplify101.0ms (0.2%)

prune466.0ms (0.7%)

localize70.0ms (0.1%)

rewrite23.0ms (0%)

series50.0ms (0.1%)

simplify97.0ms (0.1%)

prune370.0ms (0.6%)

regimes1.3s (2%)

bsearch0.0ms (0%)

simplify6.0ms (0%)

end0.0ms (0%)

sample44.3s (66.4%)

Profiling