Details

analyze19.9s (16%)

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
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
6.2%	93.5%	0.2%	11
6.2%	93.5%	0.2%	12
7.8%	92%	0.2%	13
8.6%	91.2%	0.2%	14

Compiler

Compiled 110 to 84 computations (23.6% saved)

sample2.3s (1.9%)

Algorithm

1×

intervals

Results

740.0ms	61×	body	4096	valid
368.0ms	30×	body	4096	invalid
366.0ms	47×	body	2048	valid
211.0ms	27×	body	2048	invalid
174.0ms	37×	body	1024	valid
102.0ms	93×	body	128	valid
88.0ms	20×	body	1024	invalid
78.0ms	3×	body	8192	valid
37.0ms	9×	body	512	valid
23.0ms	26×	body	128	invalid
23.0ms	7×	body	512	invalid
11.0ms	6×	body	256	valid
10.0ms	5×	body	256	invalid

Compiler

Compiled 219 to 172 computations (21.5% saved)

simplify198.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5232	172

prune24.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

43.9b

Counts

2 → 2

Compiler

Compiled 323 to 229 computations (29.1% saved)

localize104.0ms (0.1%)

Local error

Found 4 expressions with local error:

31.7b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
31.7b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
31.7b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
33.0b	(-.f64 (.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 angle 180) PI.f64))) (cos.f64 (.f64 (/.f64 angle 180) PI.f64))) x-scale) y-scale) (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 angle 180) PI.f64))) (cos.f64 (.f64 (/.f64 angle 180) PI.f64))) x-scale) y-scale)) (.f64 (.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) PI.f64))) 2)) x-scale) x-scale)) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) y-scale) y-scale)))

rewrite803.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

38.9b

Rules

15×	`associate-*r/_binary64_20`
9×	`frac-sub_binary64_87`
7×	`associate-*l/_binary64_21`
6×	`add-log-exp_binary64_117` `frac-times_binary64_88`
4×	`pow1_binary64_139` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114` `add-cube-cbrt_binary64_113` `add-sqr-sqrt_binary64_100` `*-un-lft-identity_binary64_78`
2×	`sub-div_binary64_85`
1×	`diff-log_binary64_170` `flip3--_binary64_82` `sub-neg_binary64_71` `flip--_binary64_53` `cancel-sign-sub-inv_binary64_44`

Counts

4 → 44

Calls

4 calls:

92.0ms	(-.f64 (.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 angle 180) PI.f64))) (cos.f64 (.f64 (/.f64 angle 180) PI.f64))) x-scale) y-scale) (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 angle 180) PI.f64))) (cos.f64 (.f64 (/.f64 angle 180) PI.f64))) x-scale) y-scale)) (.f64 (.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) PI.f64))) 2)) x-scale) x-scale)) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) y-scale) y-scale)))
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))

Compiler

Compiled 6110 to 4322 computations (29.3% saved)

series9.7s (7.8%)

Error

36.6b

Counts

4 → 24

Calls

4 calls:

9.3s	(-.f64 (.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 angle 180) PI.f64))) (cos.f64 (.f64 (/.f64 angle 180) PI.f64))) x-scale) y-scale) (/.f64 (/.f64 (.f64 (.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 (/.f64 angle 180) PI.f64))) (cos.f64 (.f64 (/.f64 angle 180) PI.f64))) x-scale) y-scale)) (.f64 (.f64 4 (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (.f64 b (cos.f64 (.f64 (/.f64 angle 180) PI.f64))) 2)) x-scale) x-scale)) (/.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (cos.f64 (.f64 (/.f64 angle 180) PI.f64))) 2) (pow.f64 (.f64 b (sin.f64 (*.f64 (/.f64 angle 180) PI.f64))) 2)) y-scale) y-scale)))
67.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
67.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
64.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

Compiler

Compiled 6601 to 5084 computations (23% saved)

simplify208.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (102.0ms)

Iter	Nodes	Cost
0	5067	6477

prune854.0ms (0.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	59	9	68
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	61	9	70

Error

34.9b

Counts

70 → 9

Compiler

Compiled 8337 to 5353 computations (35.8% saved)

localize91.0ms (0.1%)

Local error

Found 4 expressions with local error:

31.5b	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))
31.5b	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))
31.9b	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))
31.9b	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))

rewrite181.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Error

34.9b

Rules

4×	`pow1_binary64_139` `add-log-exp_binary64_117` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114` `add-cube-cbrt_binary64_113` `add-sqr-sqrt_binary64_100` `*-un-lft-identity_binary64_78`

Counts

4 → 28

Calls

4 calls:

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

Compiler

Compiled 2212 to 1074 computations (51.4% saved)

series266.0ms (0.2%)

Error

34.9b

Counts

4 → 12

Calls

4 calls:

56.0ms	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))
53.0ms	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))
49.0ms	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))
48.0ms	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))

Compiler

Compiled 2596 to 1552 computations (40.2% saved)

simplify340.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (318.0ms)

Iter	Nodes	Cost
0	5187	494

prune285.0ms (0.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	39	1	40
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	39	10	49

Error

34.9b

Counts

49 → 10

Compiler

Compiled 3818 to 1997 computations (47.7% saved)

localize77.0ms (0.1%)

Local error

Found 4 expressions with local error:

31.5b	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))
31.5b	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))
31.9b	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))
31.9b	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))

rewrite188.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Error

34.9b

Rules

4×	`pow1_binary64_139` `add-log-exp_binary64_117` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114` `add-cube-cbrt_binary64_113` `add-sqr-sqrt_binary64_100` `*-un-lft-identity_binary64_78`

Counts

4 → 28

Calls

4 calls:

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

Compiler

Compiled 2100 to 1018 computations (51.5% saved)

series262.0ms (0.2%)

Error

34.9b

Counts

4 → 12

Calls

4 calls:

53.0ms	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))
52.0ms	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))
51.0ms	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))
45.0ms	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))

Compiler

Compiled 2452 to 1480 computations (39.6% saved)

simplify340.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (315.0ms)

Iter	Nodes	Cost
0	5187	494

prune285.0ms (0.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	38	2	40
Fresh	1	7	8
Picked	1	0	1
Done	0	1	1
Total	40	10	50

Error

34.9b

Counts

50 → 10

Compiler

Compiled 3657 to 1918 computations (47.6% saved)

localize86.0ms (0.1%)

Local error

Found 4 expressions with local error:

31.5b	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))
31.5b	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))
31.9b	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))
31.9b	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))

rewrite190.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Error

34.9b

Rules

4×	`pow1_binary64_139` `add-log-exp_binary64_117` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114` `add-cube-cbrt_binary64_113` `add-sqr-sqrt_binary64_100` `*-un-lft-identity_binary64_78`

Counts

4 → 28

Calls

4 calls:

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

Compiler

Compiled 2184 to 1102 computations (49.5% saved)

series267.0ms (0.2%)

Error

34.9b

Counts

4 → 12

Calls

4 calls:

54.0ms	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))
54.0ms	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))
49.0ms	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))
48.0ms	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))

Compiler

Compiled 2560 to 1588 computations (38% saved)

simplify336.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (314.0ms)

Iter	Nodes	Cost
0	5187	494

prune220.0ms (0.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	39	1	40
Fresh	0	8	8
Picked	1	0	1
Done	0	1	1
Total	40	10	50

Error

34.9b

Counts

50 → 10

Compiler

Compiled 2976 to 1480 computations (50.3% saved)

regimes5.8s (4.6%)

Accuracy

Total 6.1b remaining (15.9%)

Threshold costs 0b (0%)

Compiler

Compiled 49757 to 36375 computations (26.9% saved)

bsearch17.0ms (0%)

Compiler: Compiled 3 to 7 computations (-133.3% saved)

simplify23.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (14.0ms)

Iter	Nodes	Cost
0	521	433
1	521	433

end0.0ms (0%)

sample1.4min (65.3%)

Algorithm

1×

intervals

Results

19.1s	1455×	body	4096	valid
13.1s	1725×	body	2048	valid
11.0s	866×	body	4096	invalid
8.9s	1157×	body	2048	invalid
4.3s	881×	body	1024	valid
3.6s	3352×	body	128	valid
3.3s	667×	body	1024	invalid
1.6s	58×	body	8192	valid
1.3s	47×	body	8192	invalid
1.1s	358×	body	512	valid
1.1s	1116×	body	128	invalid
940.0ms	289×	body	512	invalid
346.0ms	171×	body	256	valid
263.0ms	131×	body	256	invalid

Compiler

Compiled 5663 to 4120 computations (27.2% saved)

Details

analyze19.9s (16%)

sample2.3s (1.9%)

simplify198.0ms (0.2%)

prune24.0ms (0%)

localize104.0ms (0.1%)

rewrite803.0ms (0.6%)

series9.7s (7.8%)

simplify208.0ms (0.2%)

prune854.0ms (0.7%)

localize91.0ms (0.1%)

rewrite181.0ms (0.1%)

series266.0ms (0.2%)

simplify340.0ms (0.3%)

prune285.0ms (0.2%)

localize77.0ms (0.1%)

rewrite188.0ms (0.2%)

series262.0ms (0.2%)

simplify340.0ms (0.3%)

prune285.0ms (0.2%)

localize86.0ms (0.1%)

rewrite190.0ms (0.2%)

series267.0ms (0.2%)

simplify336.0ms (0.3%)

prune220.0ms (0.2%)

regimes5.8s (4.6%)

bsearch17.0ms (0%)

simplify23.0ms (0%)

end0.0ms (0%)

sample1.4min (65.3%)

Profiling