Details

analyze1.6s (13.9%)

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)

sample159.0ms (1.4%)

Algorithm

1×

intervals

Results

43.0ms	49×	body	1024	valid
37.0ms	42×	body	1024	invalid
24.0ms	167×	body	128	valid
13.0ms	22×	body	512	invalid
12.0ms	22×	body	512	valid
10.0ms	6×	body	2048	valid
4.0ms	12×	body	256	valid
3.0ms	8×	body	256	invalid
1.0ms	9×	body	128	invalid

Compiler

Compiled 43 to 42 computations (2.3% saved)

simplify244.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (149.0ms)

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

19.3b

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)
24.0b	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
24.2b	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

rewrite23.0ms (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	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))

series60.0ms (0.5%)

Counts

4 → 12

Calls

4 calls:

18.0ms	(*.f64 (/.f64 angle 180) PI.f64)
18.0ms	(*.f64 (/.f64 angle 180) PI.f64)
13.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
10.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))

simplify65.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5021	1051

prune198.0ms (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

18.6b

Counts

91 → 23

Compiler

Compiled 3029 to 2259 computations (25.4% saved)

localize16.0ms (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)
24.1b	(cos.f64 (.f64 angle (.f64 PI.f64 1/180)))
24.2b	(sin.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)
4.0ms	(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))

series114.0ms (1%)

Counts

4 → 12

Calls

4 calls:

73.0ms	(pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) PI.f64))) 2)
18.0ms	(*.f64 (/.f64 angle 180) PI.f64)
13.0ms	(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

prune146.0ms (1.3%)

Pruning

27 alts after pruning (27 fresh and 0 done)

	Pruned	Kept	Total
New	70	6	76
Fresh	1	21	22
Picked	1	0	1
Done	0	0	0
Total	72	27	99

Error

18.0b

Counts

99 → 27

Compiler

Compiled 2773 to 2111 computations (23.9% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(pow.f64 (.f64 a (sin.f64 (/.f64 (.f64 angle PI.f64) 180))) 2)
0.3b	(*.f64 (/.f64 angle 180) PI.f64)
24.0b	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
24.0b	(sin.f64 (/.f64 (*.f64 angle PI.f64) 180))

rewrite20.0ms (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)
4.0ms	(pow.f64 (.f64 a (sin.f64 (/.f64 (.f64 angle PI.f64) 180))) 2)
2.0ms	(sin.f64 (/.f64 (*.f64 angle PI.f64) 180))
2.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))

series113.0ms (1%)

Counts

4 → 12

Calls

4 calls:

72.0ms	(pow.f64 (.f64 a (sin.f64 (/.f64 (.f64 angle PI.f64) 180))) 2)
19.0ms	(*.f64 (/.f64 angle 180) PI.f64)
13.0ms	(sin.f64 (/.f64 (*.f64 angle PI.f64) 180))
9.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))

simplify41.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5076	1040

prune157.0ms (1.4%)

Pruning

32 alts after pruning (32 fresh and 0 done)

	Pruned	Kept	Total
New	69	7	76
Fresh	1	25	26
Picked	1	0	1
Done	0	0	0
Total	71	32	103

Error

18.0b

Counts

103 → 32

Compiler

Compiled 2949 to 2146 computations (27.2% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(pow.f64 (cos.f64 (/.f64 (*.f64 angle PI.f64) 180)) 3)
0.3b	(pow.f64 (.f64 a (sin.f64 (/.f64 (.f64 angle PI.f64) 180))) 2)
24.0b	(sin.f64 (/.f64 (*.f64 angle PI.f64) 180))
24.1b	(cos.f64 (/.f64 (*.f64 angle PI.f64) 180))

rewrite15.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441` `add-exp-log_binary64_457` `pow1_binary64_480`
6×	`pow-unpow_binary64_496`
5×	`add-cbrt-cube_binary64_455`
4×	`unpow-prod-down_binary64_498` `add-log-exp_binary64_458`
3×	`pow-exp_binary64_487` `cube-prod_binary64_447` `pow-pow_binary64_491`
2×	`sqr-pow_binary64_391` `pow-to-exp_binary64_488`
1×	`pow-prod-down_binary64_490` `unpow3_binary64_485` `cube-mult_binary64_449` `rem-cube-cbrt_binary64_442` `prod-exp_binary64_468` `unpow2_binary64_484`

Counts

4 → 55

Calls

4 calls:

4.0ms	(pow.f64 (.f64 a (sin.f64 (/.f64 (.f64 angle PI.f64) 180))) 2)
2.0ms	(pow.f64 (cos.f64 (/.f64 (*.f64 angle PI.f64) 180)) 3)
2.0ms	(cos.f64 (/.f64 (*.f64 angle PI.f64) 180))
2.0ms	(sin.f64 (/.f64 (*.f64 angle PI.f64) 180))

series133.0ms (1.2%)

Counts

4 → 12

Calls

4 calls:

74.0ms	(pow.f64 (.f64 a (sin.f64 (/.f64 (.f64 angle PI.f64) 180))) 2)
35.0ms	(pow.f64 (cos.f64 (/.f64 (*.f64 angle PI.f64) 180)) 3)
14.0ms	(sin.f64 (/.f64 (*.f64 angle PI.f64) 180))
10.0ms	(cos.f64 (/.f64 (*.f64 angle PI.f64) 180))

simplify56.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5387	1074

prune101.0ms (0.9%)

Pruning

32 alts after pruning (32 fresh and 0 done)

	Pruned	Kept	Total
New	65	2	67
Fresh	1	30	31
Picked	1	0	1
Done	0	0	0
Total	67	32	99

Error

18.0b

Counts

99 → 32

Compiler

Compiled 1929 to 1311 computations (32% saved)

regimes985.0ms (8.8%)

Accuracy

Total 1.1b remaining (5.5%)

Threshold costs 0b (0%)

Compiler

Compiled 12930 to 11184 computations (13.5% 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%)

sample6.9s (61.3%)

Algorithm

1×

intervals

Results

1.4s	1643×	body	1024	valid
1.2s	1335×	body	1024	invalid
632.0ms	4998×	body	128	valid
453.0ms	768×	body	512	valid
382.0ms	660×	body	512	invalid
250.0ms	179×	body	2048	valid
127.0ms	408×	body	256	valid
108.0ms	313×	body	256	invalid
70.0ms	557×	body	128	invalid
18.0ms	4×	body	4096	valid

Compiler

Compiled 1987 to 1717 computations (13.6% saved)

Details

analyze1.6s (13.9%)

sample159.0ms (1.4%)

simplify244.0ms (2.2%)

prune3.0ms (0%)

localize13.0ms (0.1%)

rewrite23.0ms (0.2%)

series60.0ms (0.5%)

simplify65.0ms (0.6%)

prune198.0ms (1.8%)

localize16.0ms (0.1%)

rewrite21.0ms (0.2%)

series114.0ms (1%)

simplify59.0ms (0.5%)

prune146.0ms (1.3%)

localize15.0ms (0.1%)

rewrite20.0ms (0.2%)

series113.0ms (1%)

simplify41.0ms (0.4%)

prune157.0ms (1.4%)

localize16.0ms (0.1%)

rewrite15.0ms (0.1%)

series133.0ms (1.2%)

simplify56.0ms (0.5%)

prune101.0ms (0.9%)

regimes985.0ms (8.8%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample6.9s (61.3%)

Profiling