Details

analyze2.3s (13.5%)

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)

sample268.0ms (1.6%)

Algorithm

1×

intervals

Results

74.0ms	49×	body	1024	valid
64.0ms	42×	body	1024	invalid
35.0ms	167×	body	128	valid
21.0ms	22×	body	512	invalid
21.0ms	22×	body	512	valid
21.0ms	6×	body	2048	valid
7.0ms	12×	body	256	valid
5.0ms	8×	body	256	invalid
2.0ms	9×	body	128	invalid

Compiler

Compiled 43 to 42 computations (2.3% saved)

simplify308.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (174.0ms)

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)

localize29.0ms (0.2%)

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))

rewrite24.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64_100`
26×	`associate-l_binary64_19`
20×	`add-cube-cbrt_binary64_113` `times-frac_binary64_84` `*-un-lft-identity_binary64_78`
14×	`add-cbrt-cube_binary64_114` `add-exp-log_binary64_116`
8×	`pow1_binary64_139`
6×	`associate-r_binary64_18`
4×	`add-log-exp_binary64_117` `cbrt-unprod_binary64_111` `prod-exp_binary64_127` `unswap-sqr_binary64_46`
2×	`-commutative_binary64_9` `cbrt-undiv_binary64_112` `div-exp_binary64_129` `div-inv_binary64_75` `associate-l/_binary64_21` `pow-prod-down_binary64_149`

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))

series82.0ms (0.5%)

Counts

4 → 12

Calls

4 calls:

23.0ms	(*.f64 (/.f64 angle 180) PI.f64)
23.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
19.0ms	(*.f64 (/.f64 angle 180) PI.f64)
16.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))

simplify72.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5021	1051

prune283.0ms (1.7%)

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)

localize18.0ms (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))

rewrite31.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64_100`
13×	`associate-l_binary64_19` `add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
12×	`add-exp-log_binary64_116`
10×	`times-frac_binary64_84`
9×	`add-cbrt-cube_binary64_114` `pow1_binary64_139`
4×	`add-log-exp_binary64_117`
3×	`prod-exp_binary64_127` `associate-r_binary64_18` `pow-unpow_binary64_155`
2×	`pow-exp_binary64_146` `cbrt-unprod_binary64_111` `pow-pow_binary64_150` `pow-prod-down_binary64_149` `unswap-sqr_binary64_46`
1×	`-commutative_binary64_9` `pow-to-exp_binary64_147` `cbrt-undiv_binary64_112` `div-exp_binary64_129` `unpow-prod-down_binary64_157` `unpow2_binary64_143` `sqr-pow_binary64_50` `div-inv_binary64_75` `associate-l/_binary64_21`

Counts

4 → 64

Calls

4 calls:

9.0ms	(pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) PI.f64))) 2)
7.0ms	(*.f64 (/.f64 angle 180) PI.f64)
2.0ms	(cos.f64 (.f64 angle (.f64 PI.f64 1/180)))
2.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))

series206.0ms (1.2%)

Counts

4 → 12

Calls

4 calls:

131.0ms	(pow.f64 (.f64 a (sin.f64 (.f64 (/.f64 angle 180) PI.f64))) 2)
32.0ms	(*.f64 (/.f64 angle 180) PI.f64)
25.0ms	(sin.f64 (*.f64 (/.f64 angle 180) PI.f64))
18.0ms	(cos.f64 (.f64 angle (.f64 PI.f64 1/180)))

simplify89.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5068	1040

prune192.0ms (1.1%)

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))

rewrite35.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64_100`
13×	`associate-l_binary64_19` `add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
12×	`add-exp-log_binary64_116`
10×	`times-frac_binary64_84`
9×	`add-cbrt-cube_binary64_114` `pow1_binary64_139`
4×	`add-log-exp_binary64_117`
3×	`prod-exp_binary64_127` `associate-r_binary64_18` `pow-unpow_binary64_155`
2×	`pow-exp_binary64_146` `cbrt-unprod_binary64_111` `pow-pow_binary64_150` `pow-prod-down_binary64_149` `unswap-sqr_binary64_46`
1×	`-commutative_binary64_9` `pow-to-exp_binary64_147` `cbrt-undiv_binary64_112` `div-exp_binary64_129` `unpow-prod-down_binary64_157` `unpow2_binary64_143` `sqr-pow_binary64_50` `div-inv_binary64_75` `associate-l/_binary64_21`

Counts

4 → 64

Calls

4 calls:

12.0ms	(*.f64 (/.f64 angle 180) PI.f64)
8.0ms	(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))

series155.0ms (0.9%)

Counts

4 → 12

Calls

4 calls:

103.0ms	(pow.f64 (.f64 a (sin.f64 (/.f64 (.f64 angle PI.f64) 180))) 2)
22.0ms	(sin.f64 (/.f64 (*.f64 angle PI.f64) 180))
18.0ms	(*.f64 (/.f64 angle 180) PI.f64)
12.0ms	(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))

simplify57.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5076	1040

prune221.0ms (1.3%)

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)

localize24.0ms (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))

rewrite16.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64_100` `add-cube-cbrt_binary64_113` `add-exp-log_binary64_116` `*-un-lft-identity_binary64_78` `pow1_binary64_139`
6×	`pow-unpow_binary64_155`
5×	`add-cbrt-cube_binary64_114`
4×	`add-log-exp_binary64_117` `unpow-prod-down_binary64_157`
3×	`pow-exp_binary64_146` `pow-pow_binary64_150` `cube-prod_binary64_106`
2×	`pow-to-exp_binary64_147` `sqr-pow_binary64_50`
1×	`rem-cube-cbrt_binary64_101` `cube-mult_binary64_108` `prod-exp_binary64_127` `unpow2_binary64_143` `pow-prod-down_binary64_149` `unpow3_binary64_144`

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))

series176.0ms (1%)

Counts

4 → 12

Calls

4 calls:

99.0ms	(pow.f64 (.f64 a (sin.f64 (/.f64 (.f64 angle PI.f64) 180))) 2)
43.0ms	(pow.f64 (cos.f64 (/.f64 (*.f64 angle PI.f64) 180)) 3)
21.0ms	(sin.f64 (/.f64 (*.f64 angle PI.f64) 180))
13.0ms	(cos.f64 (/.f64 (*.f64 angle PI.f64) 180))

simplify91.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5387	1074

prune176.0ms (1%)

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)

regimes1.7s (10%)

Accuracy

Total 1.1b remaining (5.5%)

Threshold costs 0b (0%)

Compiler

Compiled 12930 to 11184 computations (13.5% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	34
1	25	34

end0.0ms (0%)

sample10.3s (61.2%)

Algorithm

1×

intervals

Results

2.2s	1643×	body	1024	valid
1.8s	1335×	body	1024	invalid
928.0ms	4998×	body	128	valid
657.0ms	768×	body	512	valid
606.0ms	660×	body	512	invalid
381.0ms	179×	body	2048	valid
193.0ms	408×	body	256	valid
161.0ms	313×	body	256	invalid
108.0ms	557×	body	128	invalid
27.0ms	4×	body	4096	valid

Compiler

Compiled 1987 to 1717 computations (13.6% saved)

Details

analyze2.3s (13.5%)

sample268.0ms (1.6%)

simplify308.0ms (1.8%)

prune3.0ms (0%)

localize29.0ms (0.2%)

rewrite24.0ms (0.1%)

series82.0ms (0.5%)

simplify72.0ms (0.4%)

prune283.0ms (1.7%)

localize18.0ms (0.1%)

rewrite31.0ms (0.2%)

series206.0ms (1.2%)

simplify89.0ms (0.5%)

prune192.0ms (1.1%)

localize15.0ms (0.1%)

rewrite35.0ms (0.2%)

series155.0ms (0.9%)

simplify57.0ms (0.3%)

prune221.0ms (1.3%)

localize24.0ms (0.1%)

rewrite16.0ms (0.1%)

series176.0ms (1%)

simplify91.0ms (0.5%)

prune176.0ms (1%)

regimes1.7s (10%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample10.3s (61.2%)

Profiling