Details

analyze1.5s (14.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
25%	74.9%	0.1%	6
25%	74.9%	0.1%	7
31.2%	68.6%	0.1%	8
31.2%	56.2%	12.6%	9
34.3%	53%	12.6%	10
37.4%	49.9%	12.6%	11
46.8%	40.6%	12.6%	12
47.8%	39.6%	12.6%	13
49.7%	37.1%	13.2%	14

Compiler

Compiled 22 to 20 computations (9.1% saved)

sample173.0ms (1.6%)

Algorithm

1×

intervals

Results

52.0ms	57×	body	1024	valid
41.0ms	47×	body	1024	invalid
19.0ms	155×	body	128	valid
18.0ms	32×	body	512	valid
12.0ms	20×	body	512	invalid
6.0ms	16×	body	256	invalid
4.0ms	3×	body	2048	valid
3.0ms	27×	body	128	invalid
3.0ms	9×	body	256	valid

Compiler

Compiled 43 to 42 computations (2.3% saved)

simplify248.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (147.0ms)

Iter	Nodes	Cost
0	5252	34

prune3.0ms (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

21.5b

Counts

2 → 1

Compiler

Compiled 42 to 38 computations (9.5% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (/.f64 angle 180) PI.f64)
0.3b	(*.f64 (/.f64 angle 180) PI.f64)
25.9b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
26.2b	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))

rewrite24.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64_441`
26×	`associate-l_binary64_360`
20×	`*-un-lft-identity_binary64_419` `times-frac_binary64_425` `add-cube-cbrt_binary64_454`
14×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457`
8×	`pow1_binary64_480`
6×	`associate-r_binary64_359`
4×	`add-log-exp_binary64_458` `unswap-sqr_binary64_387` `prod-exp_binary64_468` `cbrt-unprod_binary64_452`
2×	`associate-l/_binary64_362` `pow-prod-down_binary64_490` `div-inv_binary64_416` `-commutative_binary64_350` `div-exp_binary64_470` `cbrt-undiv_binary64_453`

Counts

4 → 78

Calls

4 calls:

7.0ms	(*.f64 (/.f64 angle 180) PI.f64)
7.0ms	(*.f64 (/.f64 angle 180) PI.f64)
2.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

series63.0ms (0.6%)

Counts

4 → 12

Calls

4 calls:

22.0ms	(*.f64 (/.f64 angle 180) PI.f64)
18.0ms	(*.f64 (/.f64 angle 180) PI.f64)
12.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
10.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))

simplify60.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5021	1051

prune197.0ms (1.8%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	67	23	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	68	23	91

Error

20.5b

Counts

91 → 23

Compiler

Compiled 3017 to 2251 computations (25.4% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 PI.f64 1/180)))) 2)
0.3b	(*.f64 (/.f64 angle 180) PI.f64)
25.9b	(sin.f64 (.f64 angle (.f64 PI.f64 1/180)))
26.2b	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))

rewrite21.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64_441`
13×	`-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `associate-l*_binary64_360`
12×	`add-exp-log_binary64_457`
10×	`times-frac_binary64_425`
9×	`add-cbrt-cube_binary64_455` `pow1_binary64_480`
4×	`add-log-exp_binary64_458`
3×	`associate-r_binary64_359` `prod-exp_binary64_468` `pow-unpow_binary64_496`
2×	`pow-prod-down_binary64_490` `unswap-sqr_binary64_387` `cbrt-unprod_binary64_452` `pow-exp_binary64_487` `pow-pow_binary64_491`
1×	`associate-l/_binary64_362` `unpow-prod-down_binary64_498` `div-inv_binary64_416` `sqr-pow_binary64_391` `pow-to-exp_binary64_488` `-commutative_binary64_350` `unpow2_binary64_484` `div-exp_binary64_470` `cbrt-undiv_binary64_453`

Counts

4 → 64

Calls

4 calls:

7.0ms	(*.f64 (/.f64 angle 180) PI.f64)
5.0ms	(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 PI.f64 1/180)))) 2)
2.0ms	(sin.f64 (.f64 angle (.f64 PI.f64 1/180)))
2.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))

series113.0ms (1.1%)

Counts

4 → 12

Calls

4 calls:

72.0ms	(pow.f64 (.f64 a (sin.f64 (.f64 angle (*.f64 PI.f64 1/180)))) 2)
19.0ms	(*.f64 (/.f64 angle 180) PI.f64)
13.0ms	(sin.f64 (.f64 angle (.f64 PI.f64 1/180)))
10.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))

simplify41.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	4988	1040
1	4988	1040

prune147.0ms (1.4%)

Pruning

27 alts after pruning (26 fresh and 1 done)

	Pruned	Kept	Total
New	71	5	76
Fresh	1	21	22
Picked	0	1	1
Done	0	0	0
Total	72	27	99

Error

20.5b

Counts

99 → 27

Compiler

Compiled 2735 to 2078 computations (24% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) PI.f64))) 2)
0.3b	(*.f64 (/.f64 angle 180) PI.f64)
25.9b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
26.3b	(cos.f64 (.f64 angle (.f64 PI.f64 1/180)))

rewrite21.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64_441`
13×	`-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `associate-l*_binary64_360`
12×	`add-exp-log_binary64_457`
10×	`times-frac_binary64_425`
9×	`add-cbrt-cube_binary64_455` `pow1_binary64_480`
4×	`add-log-exp_binary64_458`
3×	`associate-r_binary64_359` `prod-exp_binary64_468` `pow-unpow_binary64_496`
2×	`pow-prod-down_binary64_490` `unswap-sqr_binary64_387` `cbrt-unprod_binary64_452` `pow-exp_binary64_487` `pow-pow_binary64_491`
1×	`associate-l/_binary64_362` `unpow-prod-down_binary64_498` `div-inv_binary64_416` `sqr-pow_binary64_391` `pow-to-exp_binary64_488` `-commutative_binary64_350` `unpow2_binary64_484` `div-exp_binary64_470` `cbrt-undiv_binary64_453`

Counts

4 → 64

Calls

4 calls:

7.0ms	(*.f64 (/.f64 angle 180) PI.f64)
5.0ms	(pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) PI.f64))) 2)
2.0ms	(cos.f64 (.f64 angle (.f64 PI.f64 1/180)))
2.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

series120.0ms (1.1%)

Counts

4 → 12

Calls

4 calls:

80.0ms	(pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) PI.f64))) 2)
18.0ms	(*.f64 (/.f64 angle 180) PI.f64)
12.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
10.0ms	(cos.f64 (.f64 angle (.f64 PI.f64 1/180)))

simplify59.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5068	1040

prune155.0ms (1.4%)

Pruning

29 alts after pruning (28 fresh and 1 done)

	Pruned	Kept	Total
New	69	7	76
Fresh	4	21	25
Picked	1	0	1
Done	0	1	1
Total	74	29	103

Error

20.5b

Counts

103 → 29

Compiler

Compiled 2802 to 2137 computations (23.7% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

25.9b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
26.3b	(cos.f64 (.f64 angle (.f64 PI.f64 1/180)))
26.3b	(cos.f64 (.f64 angle (.f64 PI.f64 1/180)))
26.3b	(cos.f64 (.f64 angle (.f64 PI.f64 1/180)))

rewrite12.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64_419` `add-log-exp_binary64_458` `add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `pow1_binary64_480`

Counts

4 → 28

Calls

4 calls:

3.0ms	(cos.f64 (.f64 angle (.f64 PI.f64 1/180)))
3.0ms	(cos.f64 (.f64 angle (.f64 PI.f64 1/180)))
3.0ms	(cos.f64 (.f64 angle (.f64 PI.f64 1/180)))
2.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

series40.0ms (0.4%)

Counts

4 → 12

Calls

4 calls:

12.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
9.0ms	(cos.f64 (.f64 angle (.f64 PI.f64 1/180)))
9.0ms	(cos.f64 (.f64 angle (.f64 PI.f64 1/180)))
9.0ms	(cos.f64 (.f64 angle (.f64 PI.f64 1/180)))

simplify57.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5134	603

prune82.0ms (0.8%)

Pruning

29 alts after pruning (28 fresh and 1 done)

	Pruned	Kept	Total
New	39	1	40
Fresh	0	27	27
Picked	1	0	1
Done	0	1	1
Total	40	29	69

Error

20.5b

Counts

69 → 29

Compiler

Compiled 1724 to 1286 computations (25.4% saved)

regimes898.0ms (8.3%)

Accuracy

Total 1.0b remaining (5%)

Threshold costs 0b (0%)

Compiler

Compiled 11716 to 10156 computations (13.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	34
1	25	34

end0.0ms (0%)

sample6.6s (61.6%)

Algorithm

1×

intervals

Results

1.4s	1624×	body	1024	valid
1.2s	1313×	body	1024	invalid
639.0ms	4997×	body	128	valid
470.0ms	823×	body	512	valid
418.0ms	688×	body	512	invalid
246.0ms	185×	body	2048	valid
126.0ms	347×	body	256	invalid
114.0ms	368×	body	256	valid
68.0ms	539×	body	128	invalid
14.0ms	3×	body	4096	valid

Compiler

Compiled 1745 to 1511 computations (13.4% saved)

Details

analyze1.5s (14.2%)

sample173.0ms (1.6%)

simplify248.0ms (2.3%)

prune3.0ms (0%)

localize13.0ms (0.1%)

rewrite24.0ms (0.2%)

series63.0ms (0.6%)

simplify60.0ms (0.6%)

prune197.0ms (1.8%)

localize15.0ms (0.1%)

rewrite21.0ms (0.2%)

series113.0ms (1.1%)

simplify41.0ms (0.4%)

prune147.0ms (1.4%)

localize15.0ms (0.1%)

rewrite21.0ms (0.2%)

series120.0ms (1.1%)

simplify59.0ms (0.5%)

prune155.0ms (1.4%)

localize20.0ms (0.2%)

rewrite12.0ms (0.1%)

series40.0ms (0.4%)

simplify57.0ms (0.5%)

prune82.0ms (0.8%)

regimes898.0ms (8.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample6.6s (61.6%)

Profiling