Details

analyze1.7s (15.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4958	136
1	4958	136
0	3	3
1	3	3

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)

sample164.0ms (1.5%)

Algorithm

1×

intervals

Results

40.0ms	47×	body	1024	invalid
37.0ms	44×	body	1024	valid
22.0ms	39×	body	512	valid
21.0ms	156×	body	128	valid
14.0ms	25×	body	512	invalid
4.0ms	14×	body	256	valid
4.0ms	12×	body	256	invalid
3.0ms	3×	body	2048	valid
3.0ms	24×	body	128	invalid

Compiler

Compiled 43 to 42 computations (2.3% saved)

simplify155.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (149.0ms)

Iter	Nodes	Cost
0	5252	34

prune6.0ms (0.1%)

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

21.8b

Counts

2 → 1

Compiler

Compiled 42 to 38 computations (9.5% saved)

localize14.0ms (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))
25.5b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
25.7b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite24.0ms (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	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
2.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

series60.0ms (0.5%)

Counts

4 → 12

Calls

4 calls:

19.0ms	(*.f64 PI.f64 (/.f64 angle 180))
18.0ms	(*.f64 PI.f64 (/.f64 angle 180))
12.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
10.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

simplify82.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4939	1075
1	4939	1075

prune203.0ms (1.8%)

Pruning

26 alts after pruning (26 fresh and 0 done)

	Pruned	Kept	Total
New	64	26	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	26	91

Error

20.8b

Counts

91 → 26

Compiler

Compiled 3083 to 2290 computations (25.7% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 PI.f64 (/.f64 angle 180))
0.6b	(.f64 (.f64 PI.f64 angle) 1/180)
25.4b	(sin.f64 (.f64 (.f64 PI.f64 angle) 1/180))
25.7b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 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)))

series61.0ms (0.6%)

Counts

4 → 12

Calls

4 calls:

19.0ms	(*.f64 PI.f64 (/.f64 angle 180))
18.0ms	(.f64 (.f64 PI.f64 angle) 1/180)
13.0ms	(sin.f64 (.f64 (.f64 PI.f64 angle) 1/180))
11.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

simplify65.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4979	892
1	4979	892

prune139.0ms (1.3%)

Pruning

27 alts after pruning (26 fresh and 1 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	0	25	25
Picked	0	1	1
Done	0	0	0
Total	75	27	102

Error

20.8b

Counts

102 → 27

Compiler

Compiled 2691 to 2000 computations (25.7% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

25.5b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
25.7b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
25.7b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
25.7b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite12.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`add-cbrt-cube_binary64_114` `add-sqr-sqrt_binary64_100` `add-log-exp_binary64_117` `add-cube-cbrt_binary64_113` `add-exp-log_binary64_116` `*-un-lft-identity_binary64_78` `pow1_binary64_139`

Counts

4 → 28

Calls

4 calls:

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

series39.0ms (0.4%)

Counts

4 → 12

Calls

4 calls:

12.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
9.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
9.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
8.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

simplify58.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5135	603

prune129.0ms (1.2%)

Pruning

29 alts after pruning (28 fresh and 1 done)

	Pruned	Kept	Total
New	37	3	40
Fresh	0	25	25
Picked	1	0	1
Done	0	1	1
Total	38	29	67

Error

20.8b

Counts

67 → 29

Compiler

Compiled 2567 to 1998 computations (22.2% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 PI.f64 (/.f64 angle 180))
0.3b	(pow.f64 (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))) 3)
25.5b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
25.7b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite20.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64_100`
15×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
13×	`associate-r_binary64_18`
10×	`add-cbrt-cube_binary64_114` `times-frac_binary64_84` `add-exp-log_binary64_116`
7×	`pow1_binary64_139`
4×	`add-log-exp_binary64_117`
3×	`associate-l_binary64_19` `unpow-prod-down_binary64_157` `pow-unpow_binary64_155` `cube-prod_binary64_106`
2×	`cbrt-unprod_binary64_111` `prod-exp_binary64_127` `unswap-sqr_binary64_46`
1×	`rem-cube-cbrt_binary64_101` `cube-mult_binary64_108` `-commutative_binary64_9` `pow-exp_binary64_146` `pow-to-exp_binary64_147` `cbrt-undiv_binary64_112` `div-exp_binary64_129` `sqr-pow_binary64_50` `div-inv_binary64_75` `pow-pow_binary64_150` `pow-prod-down_binary64_149` `associate-r/_binary64_20` `unpow3_binary64_144`

Counts

4 → 69

Calls

4 calls:

7.0ms	(*.f64 PI.f64 (/.f64 angle 180))
3.0ms	(pow.f64 (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))) 3)
2.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
2.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

series72.0ms (0.7%)

Counts

4 → 12

Calls

4 calls:

33.0ms	(pow.f64 (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))) 3)
18.0ms	(*.f64 PI.f64 (/.f64 angle 180))
12.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
9.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

simplify76.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4925	1091
1	4925	1091

prune124.0ms (1.1%)

Pruning

30 alts after pruning (29 fresh and 1 done)

	Pruned	Kept	Total
New	76	5	81
Fresh	3	24	27
Picked	1	0	1
Done	0	1	1
Total	80	30	110

Error

20.8b

Counts

110 → 30

Compiler

Compiled 2336 to 1750 computations (25.1% saved)

regimes1.1s (9.8%)

Accuracy

Total 1.0b remaining (4.7%)

Threshold costs 1.0b (4.7%)

Compiler

Compiled 12094 to 10558 computations (12.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	34
1	27	34

end0.0ms (0%)

sample6.7s (60.5%)

Algorithm

1×

intervals

Results

1.4s	1593×	body	1024	valid
1.2s	1381×	body	1024	invalid
609.0ms	4960×	body	128	valid
491.0ms	872×	body	512	valid
401.0ms	691×	body	512	invalid
222.0ms	167×	body	2048	valid
129.0ms	350×	body	256	invalid
126.0ms	402×	body	256	valid
90.0ms	675×	body	128	invalid
27.0ms	6×	body	4096	valid

Compiler

Compiled 1770 to 1543 computations (12.8% saved)

Details

analyze1.7s (15.4%)

sample164.0ms (1.5%)

simplify155.0ms (1.4%)

prune6.0ms (0.1%)

localize14.0ms (0.1%)

rewrite24.0ms (0.2%)

series60.0ms (0.5%)

simplify82.0ms (0.7%)

prune203.0ms (1.8%)

localize15.0ms (0.1%)

rewrite22.0ms (0.2%)

series61.0ms (0.6%)

simplify65.0ms (0.6%)

prune139.0ms (1.3%)

localize18.0ms (0.2%)

rewrite12.0ms (0.1%)

series39.0ms (0.4%)

simplify58.0ms (0.5%)

prune129.0ms (1.2%)

localize18.0ms (0.2%)

rewrite20.0ms (0.2%)

series72.0ms (0.7%)

simplify76.0ms (0.7%)

prune124.0ms (1.1%)

regimes1.1s (9.8%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample6.7s (60.5%)

Profiling