Details

analyze9.7s (14.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5141	1925
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
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

Symmetry

Compiler

Compiled 110 to 84 computations (23.6% saved)

sample1.2s (1.8%)

Algorithm

1×

intervals

Results

289.0ms	44×	body	4096	invalid
245.0ms	37×	body	4096	valid
204.0ms	56×	body	2048	valid
116.0ms	30×	body	2048	invalid
73.0ms	5×	body	8192	valid
59.0ms	118×	body	128	valid
53.0ms	22×	body	1024	valid
50.0ms	21×	body	1024	invalid
20.0ms	13×	body	512	valid
19.0ms	1×	body	8192	invalid
17.0ms	37×	body	128	invalid
17.0ms	11×	body	512	invalid
6.0ms	6×	body	256	invalid
5.0ms	5×	body	256	valid

Compiler

Compiled 219 to 172 computations (21.5% saved)

simplify26.0ms (0%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5232	172

prune13.0ms (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

37.6b

Counts

2 → 2

Compiler

Compiled 323 to 229 computations (29.1% saved)

localize281.0ms (0.4%)

Local error

Found 4 expressions with local error:

27.2b	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
27.2b	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
27.2b	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
27.9b	(-.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)))

rewrite387.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

33.0b

Rules

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

Counts

4 → 44

Calls

4 calls:

42.0ms	(-.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))

Compiler

Compiled 6110 to 4322 computations (29.3% saved)

series5.1s (7.6%)

Error

32.6b

Counts

4 → 24

Calls

4 calls:

4.9s	(-.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)))
35.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
30.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
29.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))

Compiler

Compiled 6565 to 5069 computations (22.8% saved)

simplify97.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5067	6456

prune384.0ms (0.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	60	8	68
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	62	8	70

Error

31.5b

Counts

70 → 8

Compiler

Compiled 8207 to 5277 computations (35.7% saved)

localize35.0ms (0.1%)

Local error

Found 4 expressions with local error:

27.1b	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))
27.1b	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))
27.2b	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))
27.2b	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))

rewrite90.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Error

31.5b

Rules

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

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

Compiler

Compiled 2100 to 1018 computations (51.5% saved)

series129.0ms (0.2%)

Error

31.5b

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)))
24.0ms	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))
23.0ms	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))

Compiler

Compiled 2452 to 1480 computations (39.6% saved)

simplify166.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (153.0ms)

Iter	Nodes	Cost
0	5187	494

prune133.0ms (0.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	40	0	40
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	40	8	48

Error

31.5b

Counts

48 → 8

Compiler

Compiled 3463 to 1793 computations (48.2% saved)

localize54.0ms (0.1%)

Local error

Found 4 expressions with local error:

27.2b	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
27.2b	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
27.2b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
27.9b	(-.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 (cbrt.f64 (pow.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180))) 3))) 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)))

rewrite382.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

30.5b

Rules

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

Counts

4 → 44

Calls

4 calls:

38.0ms	(-.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 (cbrt.f64 (pow.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180))) 3))) 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 PI.f64 (/.f64 angle 180)))
2.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))

Compiler

Compiled 6272 to 4484 computations (28.5% saved)

series5.1s (7.6%)

Error

31.5b

Counts

4 → 24

Calls

4 calls:

4.8s	(-.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 (cbrt.f64 (pow.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180))) 3))) 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))
33.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
33.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))

Compiler

Compiled 6646 to 5150 computations (22.5% saved)

simplify95.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5072	6456

prune360.0ms (0.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	0	6	6
Picked	1	0	1
Done	0	1	1
Total	68	8	76

Error

31.5b

Counts

76 → 8

Compiler

Compiled 8238 to 5331 computations (35.3% saved)

localize42.0ms (0.1%)

Local error

Found 4 expressions with local error:

27.1b	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))
27.1b	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))
27.2b	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))
27.2b	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))

rewrite95.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Error

31.5b

Rules

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

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)))

Compiler

Compiled 2212 to 1128 computations (49% saved)

series135.0ms (0.2%)

Error

31.5b

Counts

4 → 12

Calls

4 calls:

29.0ms	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))
27.0ms	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))
23.0ms	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))
23.0ms	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))

Compiler

Compiled 2596 to 1574 computations (39.4% saved)

simplify164.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (153.0ms)

Iter	Nodes	Cost
0	5187	494

prune112.0ms (0.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	40	0	40
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	40	8	48

Error

31.5b

Counts

48 → 8

Compiler

Compiled 3016 to 1518 computations (49.7% saved)

regimes2.7s (4.1%)

Accuracy

Total 4.0b remaining (11.3%)

Threshold costs 0b (0%)

Compiler

Compiled 49333 to 36549 computations (25.9% saved)

bsearch13.0ms (0%)

Compiler: Compiled 109 to 83 computations (23.9% saved)

simplify13.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	397	678
1	397	678

Removed

()

end0.0ms (0%)

sample39.5s (59.5%)

Algorithm

1×

intervals

Results

8.9s	1395×	body	4096	valid
6.6s	1660×	body	2048	valid
5.4s	839×	body	4096	invalid
4.3s	1123×	body	2048	invalid
2.3s	949×	body	1024	valid
1.8s	3415×	body	128	valid
1.7s	677×	body	1024	invalid
1.1s	75×	body	8192	valid
568.0ms	352×	body	512	valid
517.0ms	36×	body	8192	invalid
470.0ms	982×	body	128	invalid
435.0ms	269×	body	512	invalid
151.0ms	154×	body	256	valid
127.0ms	127×	body	256	invalid

Compiler

Compiled 6560 to 4835 computations (26.3% saved)

Details

analyze9.7s (14.5%)

sample1.2s (1.8%)

simplify26.0ms (0%)

prune13.0ms (0%)

localize281.0ms (0.4%)

rewrite387.0ms (0.6%)

series5.1s (7.6%)

simplify97.0ms (0.1%)

prune384.0ms (0.6%)

localize35.0ms (0.1%)

rewrite90.0ms (0.1%)

series129.0ms (0.2%)

simplify166.0ms (0.2%)

prune133.0ms (0.2%)

localize54.0ms (0.1%)

rewrite382.0ms (0.6%)

series5.1s (7.6%)

simplify95.0ms (0.1%)

prune360.0ms (0.5%)

localize42.0ms (0.1%)

rewrite95.0ms (0.1%)

series135.0ms (0.2%)

simplify164.0ms (0.2%)

prune112.0ms (0.2%)

regimes2.7s (4.1%)

bsearch13.0ms (0%)

simplify13.0ms (0%)

end0.0ms (0%)

sample39.5s (59.5%)

Profiling