Details

analyze32.2s (23.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5005	3003
0	5	5
1	5	5

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)

sample2.5s (1.8%)

Algorithm

1×

intervals

Results

1.1s	58×	body	4096	valid
542.0ms	44×	body	2048	valid
387.0ms	44×	body	1024	valid
146.0ms	24×	body	512	valid
141.0ms	1×	body	8192	exit
117.0ms	82×	body	128	valid
16.0ms	4×	body	256	valid

Compiler

Compiled 339 to 258 computations (23.9% saved)

simplify54.0ms (0%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5229	273

prune40.0ms (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

54.8b

Counts

2 → 1

Compiler

Compiled 338 to 245 computations (27.5% saved)

localize125.0ms (0.1%)

Local error

Found 4 expressions with local error:

24.3b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
24.3b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
24.3b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
24.3b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

rewrite42.0ms (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:

7.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
5.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
4.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
4.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

series594.0ms (0.4%)

Counts

4 → 20

Calls

4 calls:

167.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
146.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
141.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
140.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

Compiler

Compiled 5632 to 4208 computations (25.3% saved)

simplify177.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (151.0ms)

Iter	Nodes	Cost
0	4790	764
1	4790	764

prune1.3s (0.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	38	10	48
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	39	10	49

Error

51.1b

Counts

49 → 10

Compiler

Compiled 10137 to 7278 computations (28.2% saved)

localize132.0ms (0.1%)

Local error

Found 4 expressions with local error:

24.3b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
24.3b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
24.3b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
24.3b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

rewrite37.0ms (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))
4.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
4.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
4.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

series563.0ms (0.4%)

Counts

4 → 19

Calls

4 calls:

155.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
147.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
144.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
116.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

Compiler

Compiled 5527 to 4152 computations (24.9% saved)

simplify175.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (151.0ms)

Iter	Nodes	Cost
0	4790	724
1	4790	724

prune1.0s (0.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	46	1	47
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	49	8	57

Error

51.1b

Counts

57 → 8

Compiler

Compiled 9733 to 7018 computations (27.9% saved)

localize133.0ms (0.1%)

Local error

Found 4 expressions with local error:

24.3b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
24.3b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
24.3b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
24.4b	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))

rewrite37.0ms (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:

5.0ms	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))
5.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
4.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
4.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

series548.0ms (0.4%)

Counts

4 → 20

Calls

4 calls:

139.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
139.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
137.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
132.0ms	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))

Compiler

Compiled 5632 to 4184 computations (25.7% saved)

simplify212.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (186.0ms)

Iter	Nodes	Cost
0	4777	764
1	4777	764

prune1.0s (0.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	45	3	48
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	47	9	56

Error

51.0b

Counts

56 → 9

Compiler

Compiled 9957 to 7095 computations (28.7% saved)

localize155.0ms (0.1%)

Local error

Found 4 expressions with local error:

24.3b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
24.3b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
24.3b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
24.4b	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))

rewrite37.0ms (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:

5.0ms	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))
4.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
4.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
4.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

series547.0ms (0.4%)

Counts

4 → 18

Calls

4 calls:

152.0ms	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))
149.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
147.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
98.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

Compiler

Compiled 5516 to 4076 computations (26.1% saved)

simplify207.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (183.0ms)

Iter	Nodes	Cost
0	4777	700
1	4777	700

prune873.0ms (0.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	44	2	46
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	47	8	55

Error

50.8b

Counts

55 → 8

Compiler

Compiled 8416 to 5927 computations (29.6% saved)

regimes4.7s (3.4%)

Accuracy

Total 2.4b remaining (4.4%)

Threshold costs 0b (0%)

Compiler

Compiled 49415 to 36888 computations (25.4% saved)

bsearch0.0ms (0%)

simplify11.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	161	278
1	161	278

end0.0ms (0%)

sample1.5min (65.3%)

Algorithm

1×

intervals

Results

28.9s	1613×	body	4096	valid
16.8s	1423×	body	2048	valid
13.7s	1559×	body	1024	valid
12.8s	103×	body	8192	exit
4.4s	744×	body	512	valid
3.3s	2354×	body	128	valid
1.1s	307×	body	256	valid

Compiler

Compiled 4711 to 3517 computations (25.3% saved)

Details

analyze32.2s (23.6%)

sample2.5s (1.8%)

simplify54.0ms (0%)

prune40.0ms (0%)

localize125.0ms (0.1%)

rewrite42.0ms (0%)

series594.0ms (0.4%)

simplify177.0ms (0.1%)

prune1.3s (0.9%)

localize132.0ms (0.1%)

rewrite37.0ms (0%)

series563.0ms (0.4%)

simplify175.0ms (0.1%)

prune1.0s (0.7%)

localize133.0ms (0.1%)

rewrite37.0ms (0%)

series548.0ms (0.4%)

simplify212.0ms (0.2%)

prune1.0s (0.7%)

localize155.0ms (0.1%)

rewrite37.0ms (0%)

series547.0ms (0.4%)

simplify207.0ms (0.2%)

prune873.0ms (0.6%)

regimes4.7s (3.4%)

bsearch0.0ms (0%)

simplify11.0ms (0%)

end0.0ms (0%)

sample1.5min (65.3%)

Profiling