Details

analyze1.6s (13.7%)

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)

sample181.0ms (1.5%)

Algorithm

1×

intervals

Results

49.0ms	54×	body	1024	valid
39.0ms	42×	body	1024	invalid
23.0ms	149×	body	128	valid
21.0ms	36×	body	512	valid
16.0ms	24×	body	512	invalid
7.0ms	4×	body	2048	valid
5.0ms	13×	body	256	invalid
4.0ms	13×	body	256	valid
3.0ms	23×	body	128	invalid

Compiler

Compiled 43 to 42 computations (2.3% saved)

simplify237.0ms (2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (149.0ms)

Iter	Nodes	Cost
0	5252	34

prune7.0ms (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

23.0b

Counts

2 → 1

Compiler

Compiled 42 to 38 computations (9.5% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(*.f64 PI.f64 (/.f64 angle 180))
0.4b	(*.f64 PI.f64 (/.f64 angle 180))
27.3b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
27.6b	(cos.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	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
2.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

series61.0ms (0.5%)

Counts

4 → 12

Calls

4 calls:

18.0ms	(*.f64 PI.f64 (/.f64 angle 180))
18.0ms	(*.f64 PI.f64 (/.f64 angle 180))
13.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
12.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

simplify85.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4939	1075
1	4939	1075

prune201.0ms (1.7%)

Pruning

28 alts after pruning (28 fresh and 0 done)

	Pruned	Kept	Total
New	62	28	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	28	91

Error

21.8b

Counts

91 → 28

Compiler

Compiled 3134 to 2330 computations (25.7% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.0b	(sqrt.f64 PI.f64)
1.0b	(sqrt.f64 PI.f64)
27.3b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
27.4b	(cos.f64 (.f64 (sqrt.f64 PI.f64) (.f64 (/.f64 angle 180) (sqrt.f64 PI.f64))))

rewrite10.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64_100`
6×	`sqrt-prod_binary64_94` `add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78` `pow1_binary64_139`
4×	`add-cbrt-cube_binary64_114` `add-log-exp_binary64_117` `add-exp-log_binary64_116`
2×	`sqrt-pow1_binary64_96` `rem-sqrt-square_binary64_91` `pow1/2_binary64_158`

Counts

4 → 40

Calls

4 calls:

3.0ms	(cos.f64 (.f64 (sqrt.f64 PI.f64) (.f64 (/.f64 angle 180) (sqrt.f64 PI.f64))))
2.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
1.0ms	(sqrt.f64 PI.f64)
1.0ms	(sqrt.f64 PI.f64)

series23.0ms (0.2%)

Counts

4 → 8

Calls

4 calls:

12.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
10.0ms	(cos.f64 (.f64 (sqrt.f64 PI.f64) (.f64 (/.f64 angle 180) (sqrt.f64 PI.f64))))
0.0ms	(sqrt.f64 PI.f64)
0.0ms	(sqrt.f64 PI.f64)

simplify97.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4949	531
1	4949	531

prune114.0ms (1%)

Pruning

29 alts after pruning (28 fresh and 1 done)

	Pruned	Kept	Total
New	44	4	48
Fresh	3	24	27
Picked	0	1	1
Done	0	0	0
Total	47	29	76

Error

21.7b

Counts

76 → 29

Compiler

Compiled 2169 to 1576 computations (27.3% saved)

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 angle)
0.5b	(cbrt.f64 angle)
27.2b	(cos.f64 (.f64 (.f64 PI.f64 (/.f64 (*.f64 (cbrt.f64 angle) (cbrt.f64 angle)) (sqrt.f64 180))) (/.f64 (cbrt.f64 angle) (sqrt.f64 180))))
27.3b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite10.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_100` `add-cube-cbrt_binary64_113` `cbrt-prod_binary64_109` `*-un-lft-identity_binary64_78`
4×	`add-cbrt-cube_binary64_114` `add-log-exp_binary64_117` `add-exp-log_binary64_116` `pow1_binary64_139`
2×	`pow1/3_binary64_160`

Counts

4 → 36

Calls

4 calls:

3.0ms	(cos.f64 (.f64 (.f64 PI.f64 (/.f64 (*.f64 (cbrt.f64 angle) (cbrt.f64 angle)) (sqrt.f64 180))) (/.f64 (cbrt.f64 angle) (sqrt.f64 180))))
2.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
1.0ms	(cbrt.f64 angle)
1.0ms	(cbrt.f64 angle)

series218.0ms (1.8%)

Counts

4 → 12

Calls

4 calls:

90.0ms	(cbrt.f64 angle)
84.0ms	(cbrt.f64 angle)
29.0ms	(cos.f64 (.f64 (.f64 PI.f64 (/.f64 (*.f64 (cbrt.f64 angle) (cbrt.f64 angle)) (sqrt.f64 180))) (/.f64 (cbrt.f64 angle) (sqrt.f64 180))))
14.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

simplify63.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4882	481
1	4882	481

prune128.0ms (1.1%)

Pruning

31 alts after pruning (29 fresh and 2 done)

	Pruned	Kept	Total
New	44	4	48
Fresh	2	25	27
Picked	0	1	1
Done	0	1	1
Total	46	31	77

Error

21.6b

Counts

77 → 31

Compiler

Compiled 2508 to 1802 computations (28.1% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(pow.f64 (.f64 b (sin.f64 (/.f64 (.f64 PI.f64 angle) 180))) 2)
0.4b	(*.f64 PI.f64 (/.f64 angle 180))
27.6b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
27.7b	(sin.f64 (/.f64 (*.f64 PI.f64 angle) 180))

rewrite21.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64_100`
13×	`add-cube-cbrt_binary64_113` `associate-r_binary64_18` `*-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×	`associate-l_binary64_19` `prod-exp_binary64_127` `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-r/_binary64_20`

Counts

4 → 64

Calls

4 calls:

7.0ms	(*.f64 PI.f64 (/.f64 angle 180))
4.0ms	(pow.f64 (.f64 b (sin.f64 (/.f64 (.f64 PI.f64 angle) 180))) 2)
2.0ms	(sin.f64 (/.f64 (*.f64 PI.f64 angle) 180))
2.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

series109.0ms (0.9%)

Counts

4 → 12

Calls

4 calls:

70.0ms	(pow.f64 (.f64 b (sin.f64 (/.f64 (.f64 PI.f64 angle) 180))) 2)
17.0ms	(*.f64 PI.f64 (/.f64 angle 180))
13.0ms	(sin.f64 (/.f64 (*.f64 PI.f64 angle) 180))
9.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

simplify49.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5028	1058

prune111.0ms (0.9%)

Pruning

36 alts after pruning (34 fresh and 2 done)

	Pruned	Kept	Total
New	68	8	76
Fresh	2	26	28
Picked	1	0	1
Done	0	2	2
Total	71	36	107

Error

21.6b

Counts

107 → 36

Compiler

Compiled 1961 to 1303 computations (33.6% saved)

regimes1.2s (9.8%)

Accuracy

Total 1.2b remaining (5.9%)

Threshold costs 0b (0%)

Compiler

Compiled 12986 to 11112 computations (14.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	39
1	23	39

end0.0ms (0%)

sample7.2s (60.9%)

Algorithm

1×

intervals

Results

1.5s	1586×	body	1024	valid
1.3s	1388×	body	1024	invalid
673.0ms	5036×	body	128	valid
499.0ms	804×	body	512	valid
431.0ms	675×	body	512	invalid
253.0ms	177×	body	2048	valid
132.0ms	393×	body	256	valid
122.0ms	331×	body	256	invalid
89.0ms	632×	body	128	invalid
19.0ms	4×	body	4096	valid

Compiler

Compiled 1979 to 1691 computations (14.6% saved)

Details

analyze1.6s (13.7%)

sample181.0ms (1.5%)

simplify237.0ms (2%)

prune7.0ms (0.1%)

localize16.0ms (0.1%)

rewrite25.0ms (0.2%)

series61.0ms (0.5%)

simplify85.0ms (0.7%)

prune201.0ms (1.7%)

localize19.0ms (0.2%)

rewrite10.0ms (0.1%)

series23.0ms (0.2%)

simplify97.0ms (0.8%)

prune114.0ms (1%)

localize29.0ms (0.2%)

rewrite10.0ms (0.1%)

series218.0ms (1.8%)

simplify63.0ms (0.5%)

prune128.0ms (1.1%)

localize20.0ms (0.2%)

rewrite21.0ms (0.2%)

series109.0ms (0.9%)

simplify49.0ms (0.4%)

prune111.0ms (0.9%)

regimes1.2s (9.8%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample7.2s (60.9%)

Profiling