Details

analyze1.5s (13.6%)

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 (1.5%)

Algorithm

1×

intervals

Results

39.0ms	46×	body	1024	invalid
39.0ms	45×	body	1024	valid
23.0ms	166×	body	128	valid
18.0ms	33×	body	512	valid
13.0ms	23×	body	512	invalid
7.0ms	5×	body	2048	valid
4.0ms	12×	body	256	invalid
2.0ms	17×	body	128	invalid
2.0ms	7×	body	256	valid

Compiler

Compiled 43 to 42 computations (2.3% saved)

simplify249.0ms (2.3%)

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

19.4b

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 PI.f64 (/.f64 angle 180))
0.3b	(*.f64 PI.f64 (/.f64 angle 180))
24.0b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
24.2b	(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)))

series127.0ms (1.2%)

Counts

4 → 17

Calls

4 calls:

37.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
34.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
29.0ms	(*.f64 PI.f64 (/.f64 angle 180))
27.0ms	(*.f64 PI.f64 (/.f64 angle 180))

Compiler

Compiled 684 to 612 computations (10.5% saved)

simplify63.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4953	1174
1	4953	1174

prune204.0ms (1.9%)

Pruning

26 alts after pruning (26 fresh and 0 done)

	Pruned	Kept	Total
New	69	26	95
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	70	26	96

Error

18.0b

Counts

96 → 26

Compiler

Compiled 3213 to 2392 computations (25.6% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 PI.f64 angle)
0.3b	(*.f64 PI.f64 (/.f64 angle 180))
24.0b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
24.1b	(sin.f64 (/.f64 (*.f64 PI.f64 angle) 180))

rewrite20.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64_100`
16×	`associate-r_binary64_18`
14×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
11×	`add-cbrt-cube_binary64_114` `add-exp-log_binary64_116`
10×	`times-frac_binary64_84`
8×	`pow1_binary64_139`
6×	`associate-l_binary64_19`
4×	`add-log-exp_binary64_117`
3×	`cbrt-unprod_binary64_111` `prod-exp_binary64_127` `unswap-sqr_binary64_46`
2×	`*-commutative_binary64_9` `pow-prod-down_binary64_149`
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))
4.0ms	(*.f64 PI.f64 angle)
2.0ms	(sin.f64 (/.f64 (*.f64 PI.f64 angle) 180))
2.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

series120.0ms (1.1%)

Counts

4 → 17

Calls

4 calls:

36.0ms	(sin.f64 (/.f64 (*.f64 PI.f64 angle) 180))
32.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
29.0ms	(*.f64 PI.f64 (/.f64 angle 180))
22.0ms	(*.f64 PI.f64 angle)

Compiler

Compiled 684 to 612 computations (10.5% saved)

simplify61.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4933	938
1	4933	938

prune148.0ms (1.3%)

Pruning

27 alts after pruning (27 fresh and 0 done)

	Pruned	Kept	Total
New	75	6	81
Fresh	4	21	25
Picked	1	0	1
Done	0	0	0
Total	80	27	107

Error

18.0b

Counts

107 → 27

Compiler

Compiled 2842 to 2016 computations (29.1% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 PI.f64 angle)
0.3b	(.f64 (.f64 PI.f64 angle) 1/180)
24.0b	(cos.f64 (.f64 (.f64 PI.f64 angle) 1/180))
24.1b	(sin.f64 (/.f64 (*.f64 PI.f64 angle) 180))

rewrite18.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-cbrt-cube_binary64_114` `add-exp-log_binary64_116` `pow1_binary64_139`
9×	`add-sqr-sqrt_binary64_100`
7×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
6×	`associate-r_binary64_18`
4×	`associate-l_binary64_19` `add-log-exp_binary64_117` `cbrt-unprod_binary64_111` `prod-exp_binary64_127` `pow-prod-down_binary64_149`
2×	`*-commutative_binary64_9`
1×	`unswap-sqr_binary64_46`

Counts

4 → 50

Calls

4 calls:

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

series118.0ms (1.1%)

Counts

4 → 17

Calls

4 calls:

36.0ms	(sin.f64 (/.f64 (*.f64 PI.f64 angle) 180))
31.0ms	(.f64 (.f64 PI.f64 angle) 1/180)
29.0ms	(cos.f64 (.f64 (.f64 PI.f64 angle) 1/180))
20.0ms	(*.f64 PI.f64 angle)

Compiler

Compiled 684 to 612 computations (10.5% saved)

simplify77.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4915	752
1	4915	752

prune123.0ms (1.1%)

Pruning

27 alts after pruning (27 fresh and 0 done)

	Pruned	Kept	Total
New	64	3	67
Fresh	2	24	26
Picked	1	0	1
Done	0	0	0
Total	67	27	94

Error

18.0b

Counts

94 → 27

Compiler

Compiled 2446 to 1729 computations (29.3% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 (*.f64 PI.f64 angle) (sqrt.f64 1/180)) (sqrt.f64 1/180))
0.4b	(.f64 (.f64 PI.f64 angle) (sqrt.f64 1/180))
23.9b	(cos.f64 (.f64 (.f64 (*.f64 PI.f64 angle) (sqrt.f64 1/180)) (sqrt.f64 1/180)))
24.1b	(sin.f64 (/.f64 (*.f64 PI.f64 angle) 180))

rewrite28.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-cbrt-cube_binary64_114` `add-exp-log_binary64_116` `pow1_binary64_139`
12×	`associate-r_binary64_18`
9×	`cbrt-unprod_binary64_111` `prod-exp_binary64_127` `pow-prod-down_binary64_149`
8×	`add-sqr-sqrt_binary64_100` `add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
6×	`sqrt-prod_binary64_94`
4×	`add-log-exp_binary64_117`
2×	`-commutative_binary64_9` `associate-l*_binary64_19`

Counts

4 → 59

Calls

4 calls:

10.0ms	(.f64 (.f64 (*.f64 PI.f64 angle) (sqrt.f64 1/180)) (sqrt.f64 1/180))
7.0ms	(.f64 (.f64 PI.f64 angle) (sqrt.f64 1/180))
3.0ms	(cos.f64 (.f64 (.f64 (*.f64 PI.f64 angle) (sqrt.f64 1/180)) (sqrt.f64 1/180)))
2.0ms	(sin.f64 (/.f64 (*.f64 PI.f64 angle) 180))

series213.0ms (1.9%)

Counts

4 → 17

Calls

4 calls:

61.0ms	(.f64 (.f64 (*.f64 PI.f64 angle) (sqrt.f64 1/180)) (sqrt.f64 1/180))
61.0ms	(cos.f64 (.f64 (.f64 (*.f64 PI.f64 angle) (sqrt.f64 1/180)) (sqrt.f64 1/180)))
52.0ms	(.f64 (.f64 PI.f64 angle) (sqrt.f64 1/180))
38.0ms	(sin.f64 (/.f64 (*.f64 PI.f64 angle) 180))

Compiler

Compiled 804 to 732 computations (9% saved)

simplify66.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4927	953
1	4927	953

prune111.0ms (1%)

Pruning

28 alts after pruning (27 fresh and 1 done)

	Pruned	Kept	Total
New	73	3	76
Fresh	2	24	26
Picked	0	1	1
Done	0	0	0
Total	75	28	103

Error

18.0b

Counts

103 → 28

Compiler

Compiled 2069 to 1422 computations (31.3% saved)

regimes883.0ms (8%)

Accuracy

Total 1.3b remaining (6.4%)

Threshold costs 0b (0%)

Compiler

Compiled 11567 to 10002 computations (13.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	41
1	26	41

end0.0ms (0%)

sample6.6s (60.2%)

Algorithm

1×

intervals

Results

1.3s	1558×	body	1024	valid
1.3s	1281×	body	1024	invalid
649.0ms	5085×	body	128	valid
443.0ms	780×	body	512	valid
395.0ms	684×	body	512	invalid
251.0ms	195×	body	2048	valid
124.0ms	370×	body	256	invalid
114.0ms	376×	body	256	valid
75.0ms	622×	body	128	invalid
28.0ms	6×	body	4096	valid

Compiler

Compiled 1757 to 1516 computations (13.7% saved)

Details

analyze1.5s (13.6%)

sample160.0ms (1.5%)

simplify249.0ms (2.3%)

prune3.0ms (0%)

localize13.0ms (0.1%)

rewrite25.0ms (0.2%)

series127.0ms (1.2%)

simplify63.0ms (0.6%)

prune204.0ms (1.9%)

localize15.0ms (0.1%)

rewrite20.0ms (0.2%)

series120.0ms (1.1%)

simplify61.0ms (0.6%)

prune148.0ms (1.3%)

localize16.0ms (0.1%)

rewrite18.0ms (0.2%)

series118.0ms (1.1%)

simplify77.0ms (0.7%)

prune123.0ms (1.1%)

localize19.0ms (0.2%)

rewrite28.0ms (0.3%)

series213.0ms (1.9%)

simplify66.0ms (0.6%)

prune111.0ms (1%)

regimes883.0ms (8%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample6.6s (60.2%)

Profiling