Details

analyze17.1s (25.3%)

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

554.0ms	56×	body	4096	valid
327.0ms	52×	body	2048	valid
247.0ms	48×	body	1024	valid
137.0ms	2×	body	8192	exit
67.0ms	19×	body	512	valid
54.0ms	74×	body	128	valid
13.0ms	7×	body	256	valid

Compiler

Compiled 339 to 258 computations (23.9% saved)

simplify119.0ms (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

56.6b

Counts

2 → 1

Compiler

Compiled 338 to 245 computations (27.5% saved)

localize71.0ms (0.1%)

Local error

Found 4 expressions with local error:

26.7b	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
26.7b	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
26.7b	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
26.7b	(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))
3.0ms	(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))

series51.0ms (0.1%)

Counts

4 → 12

Calls

4 calls:

22.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
10.0ms	(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))

simplify93.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4782	584
1	4782	584

prune568.0ms (0.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	35	5	40
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	36	5	41

Error

56.0b

Counts

41 → 5

Compiler

Compiled 7836 to 5610 computations (28.4% saved)

localize73.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

3.0ms	(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))

series37.0ms (0.1%)

Counts

4 → 12

Calls

4 calls:

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

simplify96.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4782	584
1	4782	584

prune446.0ms (0.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	40	0	40
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	40	5	45

Error

56.0b

Counts

45 → 5

Compiler

Compiled 8330 to 5991 computations (28.1% saved)

localize74.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite18.0ms (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))
11.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
9.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
8.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))

simplify91.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4782	584
1	4782	584

prune399.0ms (0.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	39	1	40
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	40	5	45

Error

56.0b

Counts

45 → 5

Compiler

Compiled 7650 to 5430 computations (29% saved)

localize65.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series35.0ms (0.1%)

Counts

4 → 12

Calls

4 calls:

9.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
9.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
8.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
8.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))

simplify89.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4782	584
1	4782	584

prune326.0ms (0.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	38	2	40
Fresh	0	3	3
Picked	1	0	1
Done	1	0	1
Total	40	5	45

Error

55.5b

Counts

45 → 5

Compiler

Compiled 6952 to 4871 computations (29.9% saved)

regimes1.4s (2.1%)

Accuracy

Total 1.5b remaining (2.8%)

Threshold costs 0b (0%)

Compiler

Compiled 28086 to 20916 computations (25.5% saved)

bsearch0.0ms (0%)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	163	303
1	163	303

end0.0ms (0%)

sample44.9s (66.4%)

Algorithm

1×

intervals

Results

16.4s	1656×	body	4096	valid
8.7s	1416×	body	2048	valid
7.8s	1621×	body	1024	valid
5.0s	73×	body	8192	exit
2.3s	705×	body	512	valid
1.7s	2283×	body	128	valid
614.0ms	319×	body	256	valid

Compiler

Compiled 2786 to 2075 computations (25.5% saved)

Details

analyze17.1s (25.3%)

sample1.4s (2.1%)

simplify119.0ms (0.2%)

prune16.0ms (0%)

localize71.0ms (0.1%)

rewrite22.0ms (0%)

series51.0ms (0.1%)

simplify93.0ms (0.1%)

prune568.0ms (0.8%)

localize73.0ms (0.1%)

rewrite20.0ms (0%)

series37.0ms (0.1%)

simplify96.0ms (0.1%)

prune446.0ms (0.7%)

localize74.0ms (0.1%)

rewrite18.0ms (0%)

series41.0ms (0.1%)

simplify91.0ms (0.1%)

prune399.0ms (0.6%)

localize65.0ms (0.1%)

rewrite19.0ms (0%)

series35.0ms (0.1%)

simplify89.0ms (0.1%)

prune326.0ms (0.5%)

regimes1.4s (2.1%)

bsearch0.0ms (0%)

simplify6.0ms (0%)

end0.0ms (0%)

sample44.9s (66.4%)

Profiling