Details

analyze9.6s (16.5%)

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
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)

sample1.1s (1.8%)

Algorithm

1×

intervals

Results

238.0ms	37×	body	4096	valid
185.0ms	29×	body	4096	invalid
181.0ms	49×	body	2048	valid
148.0ms	39×	body	2048	invalid
78.0ms	34×	body	1024	valid
66.0ms	121×	body	128	valid
41.0ms	17×	body	1024	invalid
27.0ms	2×	body	8192	valid
21.0ms	36×	body	128	invalid
14.0ms	9×	body	512	invalid
13.0ms	1×	body	8192	invalid
12.0ms	8×	body	512	valid
5.0ms	5×	body	256	valid
2.0ms	3×	body	256	invalid

Compiler

Compiled 219 to 172 computations (21.5% saved)

simplify120.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5232	172

prune14.0ms (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

39.0b

Counts

2 → 2

Compiler

Compiled 323 to 229 computations (29.1% saved)

localize46.0ms (0.1%)

Local error

Found 4 expressions with local error:

24.7b	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
24.7b	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
24.7b	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
25.9b	(-.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)))

rewrite58.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`associate-*r/_binary64_1725`
9×	`frac-sub_binary64_1792`
7×	`associate-*l/_binary64_1726`
6×	`frac-times_binary64_1793` `add-log-exp_binary64_1822`
4×	`add-cbrt-cube_binary64_1819` `add-sqr-sqrt_binary64_1805` `add-exp-log_binary64_1821` `add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783` `pow1_binary64_1844`
2×	`sub-div_binary64_1790`
1×	`flip3--_binary64_1787` `cancel-sign-sub-inv_binary64_1749` `diff-log_binary64_1875` `flip--_binary64_1758` `sub-neg_binary64_1776`

Counts

4 → 44

Calls

4 calls:

39.0ms	(-.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)))
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))

series5.3s (9.1%)

Counts

4 → 24

Calls

4 calls:

5.2s	(-.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)))
34.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
31.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
31.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))

Compiler

Compiled 4404 to 3505 computations (20.4% saved)

simplify89.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5078	6630

prune428.0ms (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

31.7b

Counts

70 → 9

Compiler

Compiled 8673 to 5584 computations (35.6% saved)

localize42.0ms (0.1%)

Local error

Found 4 expressions with local error:

24.1b	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))
24.1b	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))
24.5b	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))
24.5b	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))

rewrite17.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`add-cbrt-cube_binary64_1819` `add-sqr-sqrt_binary64_1805` `add-exp-log_binary64_1821` `add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783` `add-log-exp_binary64_1822` `pow1_binary64_1844`

Counts

4 → 28

Calls

4 calls:

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

series115.0ms (0.2%)

Counts

4 → 12

Calls

4 calls:

34.0ms	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))
29.0ms	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))
28.0ms	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))
24.0ms	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))

Compiler

Compiled 1984 to 1212 computations (38.9% saved)

simplify172.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (161.0ms)

Iter	Nodes	Cost
0	5214	494

prune162.0ms (0.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	39	1	40
Fresh	0	8	8
Picked	1	0	1
Done	0	0	0
Total	40	9	49

Error

31.7b

Counts

49 → 9

Compiler

Compiled 4458 to 2317 computations (48% saved)

localize49.0ms (0.1%)

Local error

Found 4 expressions with local error:

24.1b	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))
24.1b	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))
24.5b	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))
24.5b	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))

rewrite18.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`add-cbrt-cube_binary64_1819` `add-sqr-sqrt_binary64_1805` `add-exp-log_binary64_1821` `add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783` `add-log-exp_binary64_1822` `pow1_binary64_1844`

Counts

4 → 28

Calls

4 calls:

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

series124.0ms (0.2%)

Counts

4 → 12

Calls

4 calls:

33.0ms	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))
33.0ms	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))
30.0ms	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))
28.0ms	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))

Compiler

Compiled 2392 to 1476 computations (38.3% saved)

simplify165.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (154.0ms)

Iter	Nodes	Cost
0	5214	494

prune191.0ms (0.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	40	0	40
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	40	9	49

Error

31.7b

Counts

49 → 9

Compiler

Compiled 5039 to 2697 computations (46.5% saved)

localize42.0ms (0.1%)

Local error

Found 4 expressions with local error:

24.1b	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))
24.1b	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))
24.5b	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))
24.5b	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))

rewrite16.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`add-cbrt-cube_binary64_1819` `add-sqr-sqrt_binary64_1805` `add-exp-log_binary64_1821` `add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783` `add-log-exp_binary64_1822` `pow1_binary64_1844`

Counts

4 → 28

Calls

4 calls:

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

series97.0ms (0.2%)

Counts

4 → 12

Calls

4 calls:

26.0ms	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))
25.0ms	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))
23.0ms	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))
23.0ms	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))

Compiler

Compiled 1744 to 1188 computations (31.9% saved)

simplify166.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (153.0ms)

Iter	Nodes	Cost
0	5214	494

prune107.0ms (0.2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	40	0	40
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	40	9	49

Error

31.7b

Counts

49 → 9

Compiler

Compiled 3016 to 1442 computations (52.2% saved)

regimes1.8s (3.1%)

Accuracy

Total 2.8b remaining (8.2%)

Threshold costs 0b (0%)

Compiler

Compiled 33188 to 23128 computations (30.3% saved)

bsearch1.7s (2.9%)

Steps

Iters	Range		Point
9	5.792140313343981e-143	3.0512706005615824e-134	2.0530243782163017e-142
8	-4.990733735028943e-109	-2.2580913994360885e-113	-2.2947249013457494e-113

Compiler

Compiled 1 to 5 computations (-400% saved)

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	300	365
1	300	365

end0.0ms (0%)

sample36.6s (62.8%)

Algorithm

1×

intervals

Results

8.9s	1392×	body	4096	valid
6.2s	1662×	body	2048	valid
5.2s	807×	body	4096	invalid
4.6s	1166×	body	2048	invalid
2.2s	886×	body	1024	valid
1.8s	3515×	body	128	valid
1.6s	643×	body	1024	invalid
925.0ms	65×	body	8192	valid
521.0ms	38×	body	8192	invalid
509.0ms	327×	body	512	valid
486.0ms	1053×	body	128	invalid
392.0ms	254×	body	512	invalid
149.0ms	153×	body	256	valid
127.0ms	137×	body	256	invalid

Compiler

Compiled 3765 to 2595 computations (31.1% saved)

Details

analyze9.6s (16.5%)

sample1.1s (1.8%)

simplify120.0ms (0.2%)

prune14.0ms (0%)

localize46.0ms (0.1%)

rewrite58.0ms (0.1%)

series5.3s (9.1%)

simplify89.0ms (0.2%)

prune428.0ms (0.7%)

localize42.0ms (0.1%)

rewrite17.0ms (0%)

series115.0ms (0.2%)

simplify172.0ms (0.3%)

prune162.0ms (0.3%)

localize49.0ms (0.1%)

rewrite18.0ms (0%)

series124.0ms (0.2%)

simplify165.0ms (0.3%)

prune191.0ms (0.3%)

localize42.0ms (0.1%)

rewrite16.0ms (0%)

series97.0ms (0.2%)

simplify166.0ms (0.3%)

prune107.0ms (0.2%)

regimes1.8s (3.1%)

bsearch1.7s (2.9%)

simplify8.0ms (0%)

end0.0ms (0%)

sample36.6s (62.8%)

Profiling