Details

analyze17.7s (25.5%)

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%)

Algorithm

1×

intervals

Results

514.0ms	51×	body	4096	valid
333.0ms	53×	body	2048	valid
252.0ms	50×	body	1024	valid
142.0ms	2×	body	8192	exit
74.0ms	23×	body	512	valid
49.0ms	67×	body	128	valid
25.0ms	12×	body	256	valid

Compiler

Compiled 339 to 258 computations (23.9% saved)

simplify126.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (21.0ms)

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: 56.2b

Counts

2 → 1

Compiler

Compiled 338 to 245 computations (27.5% saved)

localize73.0ms (0.1%)

Local error

Found 4 expressions with local error:

27.3b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
27.3b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
27.3b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
27.3b	(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:

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

series249.0ms (0.4%)

Counts

4 → 12

Calls

4 calls:

201.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
23.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
14.0ms	(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 (82.0ms)

Iter	Nodes	Cost
0	4790	636
1	4790	636

prune421.0ms (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: 55.0b

Counts

41 → 6

Compiler

Compiled 8040 to 5769 computations (28.2% saved)

localize76.0ms (0.1%)

Local error

Found 4 expressions with local error:

27.3b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
27.3b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
27.3b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
27.3b	(sin.f64 (.f64 1/180 (.f64 angle 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:

6.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
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))

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 1/180 (.f64 angle PI.f64)))
11.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

simplify110.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	4777	636
1	4777	636

prune401.0ms (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: 55.0b

Counts

46 → 6

Compiler

Compiled 7871 to 5603 computations (28.8% saved)

localize76.0ms (0.1%)

Local error

Found 4 expressions with local error:

27.3b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
27.3b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
27.3b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
27.3b	(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))

series53.0ms (0.1%)

Counts

4 → 12

Calls

4 calls:

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

simplify93.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4790	636
1	4790	636

prune405.0ms (0.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	38	2	40
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	40	6	46

Merged error: 54.9b

Counts

46 → 6

Compiler

Compiled 7784 to 5599 computations (28.1% saved)

localize81.0ms (0.1%)

Local error

Found 4 expressions with local error:

27.3b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
27.3b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
27.3b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
27.3b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

rewrite21.0ms (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))

series53.0ms (0.1%)

Counts

4 → 12

Calls

4 calls:

15.0ms	(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))

simplify90.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4790	636
1	4790	636

prune427.0ms (0.6%)

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

Merged error: 54.9b

Counts

46 → 6

Compiler

Compiled 7744 to 5579 computations (28% saved)

regimes1.1s (1.6%)

Compiler: Compiled 21117 to 15884 computations (24.8% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	164	273
1	164	273

end0.0ms (0%)

sample46.3s (66.5%)

Algorithm

1×

intervals

Results

16.1s	1664×	body	4096	valid
8.7s	1394×	body	2048	valid
7.7s	1581×	body	1024	valid
7.2s	102×	body	8192	exit
2.3s	701×	body	512	valid
1.8s	2339×	body	128	valid
653.0ms	321×	body	256	valid

Compiler

Compiled 1942 to 1458 computations (24.9% saved)

Details

analyze17.7s (25.5%)

sample1.4s (2%)

simplify126.0ms (0.2%)

prune15.0ms (0%)

localize73.0ms (0.1%)

rewrite23.0ms (0%)

series249.0ms (0.4%)

simplify96.0ms (0.1%)

prune421.0ms (0.6%)

localize76.0ms (0.1%)

rewrite24.0ms (0%)

series50.0ms (0.1%)

simplify110.0ms (0.2%)

prune401.0ms (0.6%)

localize76.0ms (0.1%)

rewrite20.0ms (0%)

series53.0ms (0.1%)

simplify93.0ms (0.1%)

prune405.0ms (0.6%)

localize81.0ms (0.1%)

rewrite21.0ms (0%)

series53.0ms (0.1%)

simplify90.0ms (0.1%)

prune427.0ms (0.6%)

regimes1.1s (1.6%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample46.3s (66.5%)

Profiling