Details

analyze1.5s (12.2%)

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
25%	62.4%	12.6%	8
31.2%	56.2%	12.6%	9
34.3%	53%	12.6%	10
42.9%	44.5%	12.6%	11
46.8%	40.6%	12.6%	12
47.8%	39.6%	12.6%	13
52.6%	34.8%	12.6%	14

Compiler

Compiled 22 to 20 computations (9.1% saved)

sample160.0ms (1.3%)

Algorithm

1×

intervals

Results

38.0ms	44×	body	1024	valid
34.0ms	39×	body	1024	invalid
26.0ms	168×	body	128	valid
15.0ms	26×	body	512	valid
13.0ms	23×	body	512	invalid
11.0ms	9×	body	2048	valid
3.0ms	8×	body	256	invalid
3.0ms	9×	body	256	valid
2.0ms	18×	body	128	invalid

Compiler

Compiled 43 to 42 computations (2.3% saved)

simplify234.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (141.0ms)

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

Merged error: 18.7b

Counts

2 → 1

Compiler

Compiled 42 to 38 computations (9.5% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 PI.f64 (/.f64 angle 180))
0.3b	(*.f64 PI.f64 (/.f64 angle 180))
23.1b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
23.5b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite25.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64_100`
26×	`associate-r_binary64_18`
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-l_binary64_19`
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` `pow-prod-down_binary64_149` `associate-r/_binary64_20`

Counts

4 → 78

Calls

4 calls:

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

series63.0ms (0.5%)

Counts

4 → 12

Calls

4 calls:

20.0ms	(*.f64 PI.f64 (/.f64 angle 180))
18.0ms	(*.f64 PI.f64 (/.f64 angle 180))
15.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
10.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

simplify79.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4939	1075
1	4939	1075

prune196.0ms (1.6%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	66	24	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	67	24	91

Merged error: 17.9b

Counts

91 → 24

Compiler

Compiled 3033 to 2240 computations (26.1% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 PI.f64 angle) 1/180)
0.3b	(*.f64 PI.f64 (/.f64 angle 180))
23.1b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
23.5b	(sin.f64 (.f64 (.f64 PI.f64 angle) 1/180))

rewrite22.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64_100`
16×	`associate-r_binary64_18`
14×	`add-cbrt-cube_binary64_114` `add-exp-log_binary64_116`
13×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
11×	`pow1_binary64_139`
10×	`times-frac_binary64_84`
5×	`cbrt-unprod_binary64_111` `prod-exp_binary64_127`
4×	`associate-l_binary64_19` `add-log-exp_binary64_117` `pow-prod-down_binary64_149`
2×	`*-commutative_binary64_9` `unswap-sqr_binary64_46`
1×	`cbrt-undiv_binary64_112` `div-exp_binary64_129` `div-inv_binary64_75` `associate-*r/_binary64_20`

Counts

4 → 64

Calls

4 calls:

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

series59.0ms (0.5%)

Counts

4 → 12

Calls

4 calls:

18.0ms	(.f64 (.f64 PI.f64 angle) 1/180)
18.0ms	(*.f64 PI.f64 (/.f64 angle 180))
13.0ms	(sin.f64 (.f64 (.f64 PI.f64 angle) 1/180))
9.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

simplify60.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4979	892
1	4979	892

prune152.0ms (1.2%)

Pruning

28 alts after pruning (28 fresh and 0 done)

	Pruned	Kept	Total
New	66	10	76
Fresh	5	18	23
Picked	1	0	1
Done	0	0	0
Total	72	28	100

Merged error: 17.8b

Counts

100 → 28

Compiler

Compiled 2778 to 2004 computations (27.9% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (*.f64 angle 1/180))
0.6b	(cbrt.f64 (/.f64 angle 180))
23.2b	(cos.f64 (.f64 (.f64 PI.f64 (.f64 (cbrt.f64 (.f64 angle 1/180)) (cbrt.f64 (*.f64 angle 1/180)))) (cbrt.f64 (/.f64 angle 180))))
23.5b	(sin.f64 (.f64 (.f64 PI.f64 angle) 1/180))

rewrite18.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`cbrt-prod_binary64_109`
11×	`add-sqr-sqrt_binary64_100` `add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
9×	`times-frac_binary64_84`
4×	`add-cbrt-cube_binary64_114` `add-log-exp_binary64_117` `add-exp-log_binary64_116` `pow1_binary64_139`
2×	`pow1/3_binary64_160`
1×	`cbrt-div_binary64_110` `div-inv_binary64_75`

Counts

4 → 45

Calls

4 calls:

6.0ms	(cos.f64 (.f64 (.f64 PI.f64 (.f64 (cbrt.f64 (.f64 angle 1/180)) (cbrt.f64 (*.f64 angle 1/180)))) (cbrt.f64 (/.f64 angle 180))))
2.0ms	(cbrt.f64 (/.f64 angle 180))
2.0ms	(sin.f64 (.f64 (.f64 PI.f64 angle) 1/180))
2.0ms	(cbrt.f64 (*.f64 angle 1/180))

series236.0ms (1.9%)

Counts

4 → 12

Calls

4 calls:

96.0ms	(cbrt.f64 (*.f64 angle 1/180))
96.0ms	(cbrt.f64 (/.f64 angle 180))
31.0ms	(cos.f64 (.f64 (.f64 PI.f64 (.f64 (cbrt.f64 (.f64 angle 1/180)) (cbrt.f64 (*.f64 angle 1/180)))) (cbrt.f64 (/.f64 angle 180))))
13.0ms	(sin.f64 (.f64 (.f64 PI.f64 angle) 1/180))

simplify70.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4984	857
1	4984	857

prune176.0ms (1.4%)

Pruning

35 alts after pruning (35 fresh and 0 done)

	Pruned	Kept	Total
New	47	10	57
Fresh	2	25	27
Picked	1	0	1
Done	0	0	0
Total	50	35	85

Merged error: 17.7b

Counts

85 → 35

Compiler

Compiled 3279 to 2535 computations (22.7% saved)

localize32.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (*.f64 angle 1/180))
0.6b	(cbrt.f64 (/.f64 angle (sqrt.f64 180)))
23.2b	(cos.f64 (.f64 (.f64 PI.f64 (.f64 (cbrt.f64 (.f64 angle 1/180)) (cbrt.f64 (.f64 angle 1/180)))) (.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 180))) (cbrt.f64 (/.f64 angle (sqrt.f64 180))))))
23.5b	(sin.f64 (.f64 (.f64 PI.f64 angle) 1/180))

rewrite20.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`cbrt-prod_binary64_109`
18×	`times-frac_binary64_84`
17×	`add-sqr-sqrt_binary64_100` `add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
9×	`sqrt-prod_binary64_94`
4×	`add-cbrt-cube_binary64_114` `add-log-exp_binary64_117` `add-exp-log_binary64_116` `pow1_binary64_139`
2×	`pow1/3_binary64_160`
1×	`cbrt-div_binary64_110` `div-inv_binary64_75`

Counts

4 → 54

Calls

4 calls:

5.0ms	(cos.f64 (.f64 (.f64 PI.f64 (.f64 (cbrt.f64 (.f64 angle 1/180)) (cbrt.f64 (.f64 angle 1/180)))) (.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 180))) (cbrt.f64 (/.f64 angle (sqrt.f64 180))))))
4.0ms	(cbrt.f64 (/.f64 angle (sqrt.f64 180)))
2.0ms	(sin.f64 (.f64 (.f64 PI.f64 angle) 1/180))
2.0ms	(cbrt.f64 (*.f64 angle 1/180))

series330.0ms (2.6%)

Counts

4 → 12

Calls

4 calls:

137.0ms	(cbrt.f64 (/.f64 angle (sqrt.f64 180)))
96.0ms	(cbrt.f64 (*.f64 angle 1/180))
84.0ms	(cos.f64 (.f64 (.f64 PI.f64 (.f64 (cbrt.f64 (.f64 angle 1/180)) (cbrt.f64 (.f64 angle 1/180)))) (.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 180))) (cbrt.f64 (/.f64 angle (sqrt.f64 180))))))
13.0ms	(sin.f64 (.f64 (.f64 PI.f64 angle) 1/180))

simplify76.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5029	1232

prune168.0ms (1.3%)

Pruning

35 alts after pruning (35 fresh and 0 done)

	Pruned	Kept	Total
New	60	6	66
Fresh	5	29	34
Picked	1	0	1
Done	0	0	0
Total	66	35	101

Merged error: 17.7b

Counts

101 → 35

Compiler

Compiled 2950 to 2294 computations (22.2% saved)

regimes1.3s (10.6%)

Compiler: Compiled 15940 to 13834 computations (13.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	41	148
1	41	148

end0.0ms (0%)

sample7.4s (59.3%)

Algorithm

1×

intervals

Results

1.4s	1589×	body	1024	valid
1.2s	1283×	body	1024	invalid
638.0ms	5066×	body	128	valid
445.0ms	773×	body	512	valid
434.0ms	722×	body	512	invalid
285.0ms	201×	body	2048	valid
124.0ms	369×	body	256	valid
123.0ms	353×	body	256	invalid
86.0ms	660×	body	128	invalid
10.0ms	2×	body	4096	valid

Compiler

Compiled 2574 to 2232 computations (13.3% saved)

Details

analyze1.5s (12.2%)

sample160.0ms (1.3%)

simplify234.0ms (1.9%)

prune3.0ms (0%)

localize19.0ms (0.1%)

rewrite25.0ms (0.2%)

series63.0ms (0.5%)

simplify79.0ms (0.6%)

prune196.0ms (1.6%)

localize19.0ms (0.1%)

rewrite22.0ms (0.2%)

series59.0ms (0.5%)

simplify60.0ms (0.5%)

prune152.0ms (1.2%)

localize23.0ms (0.2%)

rewrite18.0ms (0.1%)

series236.0ms (1.9%)

simplify70.0ms (0.6%)

prune176.0ms (1.4%)

localize32.0ms (0.3%)

rewrite20.0ms (0.2%)

series330.0ms (2.6%)

simplify76.0ms (0.6%)

prune168.0ms (1.3%)

regimes1.3s (10.6%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample7.4s (59.3%)

Profiling