Details

analyze17.7s (26.1%)

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

529.0ms	52×	body	4096	valid
290.0ms	60×	body	1024	valid
259.0ms	41×	body	2048	valid
140.0ms	2×	body	8192	exit
71.0ms	23×	body	512	valid
50.0ms	67×	body	128	valid
27.0ms	13×	body	256	valid

Compiler

Compiled 339 to 258 computations (23.9% saved)

simplify125.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5229	273

prune15.0ms (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

Merged error: 57.0b

Counts

2 → 1

Compiler

Compiled 338 to 245 computations (27.5% saved)

localize71.0ms (0.1%)

Local error

Found 4 expressions with local error:

28.8b	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
28.8b	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
28.8b	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
28.8b	(cos.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	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))

series50.0ms (0.1%)

Counts

4 → 12

Calls

4 calls:

21.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
11.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
10.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
9.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))

simplify262.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4782	584
1	4782	584

prune426.0ms (0.6%)

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

Merged error: 56.4b

Counts

41 → 6

Compiler

Compiled 8016 to 5744 computations (28.3% saved)

localize78.0ms (0.1%)

Local error

Found 4 expressions with local error:

28.8b	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
28.8b	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
28.8b	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
29.0b	(cos.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	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))
2.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))

series38.0ms (0.1%)

Counts

4 → 12

Calls

4 calls:

10.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
10.0ms	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))
9.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
9.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))

simplify75.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4779	584
1	4779	584

prune400.0ms (0.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

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

Merged error: 56.4b

Counts

46 → 6

Compiler

Compiled 7847 to 5578 computations (28.9% saved)

localize78.0ms (0.1%)

Local error

Found 4 expressions with local error:

28.8b	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
28.8b	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
28.8b	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
28.8b	(cos.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	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))

series41.0ms (0.1%)

Counts

4 → 12

Calls

4 calls:

13.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
10.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
9.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
9.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))

simplify87.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4782	584
1	4782	584

prune446.0ms (0.7%)

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

Merged error: 56.4b

Counts

46 → 6

Compiler

Compiled 8341 to 5999 computations (28.1% saved)

localize72.0ms (0.1%)

Local error

Found 4 expressions with local error:

28.8b	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
28.8b	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
28.8b	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
29.0b	(cos.f64 (.f64 1/180 (.f64 angle 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:

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

series39.0ms (0.1%)

Counts

4 → 12

Calls

4 calls:

10.0ms	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))
10.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
10.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
8.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))

simplify71.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4779	584
1	4779	584

prune363.0ms (0.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	39	1	40
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	40	6	46

Merged error: 56.4b

Counts

46 → 6

Compiler

Compiled 6952 to 4911 computations (29.4% saved)

regimes1.2s (1.7%)

Compiler: Compiled 21919 to 16409 computations (25.1% 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%)

sample44.8s (66%)

Algorithm

1×

intervals

Results

16.1s	1645×	body	4096	valid
8.6s	1370×	body	2048	valid
8.1s	1589×	body	1024	valid
5.2s	76×	body	8192	exit
2.4s	748×	body	512	valid
1.8s	2330×	body	128	valid
631.0ms	318×	body	256	valid

Compiler

Compiled 2110 to 1577 computations (25.3% saved)

Details

analyze17.7s (26.1%)

sample1.4s (2.1%)

simplify125.0ms (0.2%)

prune15.0ms (0%)

localize71.0ms (0.1%)

rewrite22.0ms (0%)

series50.0ms (0.1%)

simplify262.0ms (0.4%)

prune426.0ms (0.6%)

localize78.0ms (0.1%)

rewrite20.0ms (0%)

series38.0ms (0.1%)

simplify75.0ms (0.1%)

prune400.0ms (0.6%)

localize78.0ms (0.1%)

rewrite19.0ms (0%)

series41.0ms (0.1%)

simplify87.0ms (0.1%)

prune446.0ms (0.7%)

localize72.0ms (0.1%)

rewrite23.0ms (0%)

series39.0ms (0.1%)

simplify71.0ms (0.1%)

prune363.0ms (0.5%)

regimes1.2s (1.7%)

bsearch0.0ms (0%)

simplify6.0ms (0%)

end0.0ms (0%)

sample44.8s (66%)

Profiling