Details

analyze1.5s (13.1%)

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)

sample140.0ms (1.2%)

Algorithm

1×

intervals

Results

44.0ms	52×	body	1024	valid
24.0ms	29×	body	1024	invalid
19.0ms	166×	body	128	valid
14.0ms	17×	body	512	invalid
11.0ms	21×	body	512	valid
4.0ms	4×	body	2048	valid
4.0ms	13×	body	256	invalid
4.0ms	13×	body	256	valid
2.0ms	13×	body	128	invalid

Compiler

Compiled 43 to 42 computations (2.3% saved)

simplify229.0ms (2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (140.0ms)

Iter	Nodes	Cost
0	5252	34

prune4.0ms (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: 19.5b

Counts

2 → 1

Compiler

Compiled 42 to 38 computations (9.5% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(*.f64 PI.f64 (/.f64 angle 180))
0.4b	(*.f64 PI.f64 (/.f64 angle 180))
23.8b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
23.9b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite27.0ms (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:

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

series62.0ms (0.6%)

Counts

4 → 12

Calls

4 calls:

20.0ms	(*.f64 PI.f64 (/.f64 angle 180))
18.0ms	(*.f64 PI.f64 (/.f64 angle 180))
13.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
11.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

simplify76.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4939	1075
1	4939	1075

prune205.0ms (1.8%)

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: 18.5b

Counts

91 → 24

Compiler

Compiled 3024 to 2240 computations (25.9% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 angle)
0.6b	(cbrt.f64 angle)
23.8b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
24.1b	(cos.f64 (.f64 (.f64 PI.f64 (/.f64 (*.f64 (cbrt.f64 angle) (cbrt.f64 angle)) (sqrt.f64 180))) (/.f64 (cbrt.f64 angle) (sqrt.f64 180))))

rewrite11.0ms (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)

series215.0ms (1.9%)

Counts

4 → 12

Calls

4 calls:

89.0ms	(cbrt.f64 angle)
78.0ms	(cbrt.f64 angle)
34.0ms	(cos.f64 (.f64 (.f64 PI.f64 (/.f64 (*.f64 (cbrt.f64 angle) (cbrt.f64 angle)) (sqrt.f64 180))) (/.f64 (cbrt.f64 angle) (sqrt.f64 180))))
13.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

simplify62.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4882	481
1	4882	481

prune128.0ms (1.1%)

Pruning

27 alts after pruning (27 fresh and 0 done)

	Pruned	Kept	Total
New	41	7	48
Fresh	3	20	23
Picked	1	0	1
Done	0	0	0
Total	45	27	72

Merged error: 18.4b

Counts

72 → 27

Compiler

Compiled 2497 to 1789 computations (28.4% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 angle)
0.6b	(cbrt.f64 angle)
23.8b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
24.0b	(cos.f64 (.f64 (.f64 PI.f64 (/.f64 (.f64 (cbrt.f64 angle) (cbrt.f64 angle)) (sqrt.f64 180))) (/.f64 (.f64 (*.f64 (cbrt.f64 (cbrt.f64 angle)) (cbrt.f64 (cbrt.f64 angle))) (cbrt.f64 (cbrt.f64 angle))) (sqrt.f64 180))))

rewrite12.0ms (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 (.f64 (*.f64 (cbrt.f64 (cbrt.f64 angle)) (cbrt.f64 (cbrt.f64 angle))) (cbrt.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)

series223.0ms (2%)

Counts

4 → 12

Calls

4 calls:

93.0ms	(cbrt.f64 angle)
83.0ms	(cbrt.f64 angle)
35.0ms	(cos.f64 (.f64 (.f64 PI.f64 (/.f64 (.f64 (cbrt.f64 angle) (cbrt.f64 angle)) (sqrt.f64 180))) (/.f64 (.f64 (*.f64 (cbrt.f64 (cbrt.f64 angle)) (cbrt.f64 (cbrt.f64 angle))) (cbrt.f64 (cbrt.f64 angle))) (sqrt.f64 180))))
13.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

simplify55.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5145	469

prune128.0ms (1.1%)

Pruning

29 alts after pruning (28 fresh and 1 done)

	Pruned	Kept	Total
New	45	3	48
Fresh	1	25	26
Picked	0	1	1
Done	0	0	0
Total	46	29	75

Merged error: 18.4b

Counts

75 → 29

Compiler

Compiled 2914 to 1887 computations (35.2% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 angle)
0.6b	(cbrt.f64 angle)
24.1b	(cos.f64 (.f64 (.f64 PI.f64 (/.f64 (*.f64 (cbrt.f64 angle) (cbrt.f64 angle)) (sqrt.f64 180))) (/.f64 (cbrt.f64 angle) (sqrt.f64 180))))
24.1b	(sin.f64 (.f64 (.f64 PI.f64 angle) 1/180))

rewrite12.0ms (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))))
3.0ms	(sin.f64 (.f64 (.f64 PI.f64 angle) 1/180))
1.0ms	(cbrt.f64 angle)
1.0ms	(cbrt.f64 angle)

series225.0ms (2%)

Counts

4 → 12

Calls

4 calls:

91.0ms	(cbrt.f64 angle)
86.0ms	(cbrt.f64 angle)
33.0ms	(cos.f64 (.f64 (.f64 PI.f64 (/.f64 (*.f64 (cbrt.f64 angle) (cbrt.f64 angle)) (sqrt.f64 180))) (/.f64 (cbrt.f64 angle) (sqrt.f64 180))))
15.0ms	(sin.f64 (.f64 (.f64 PI.f64 angle) 1/180))

simplify79.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4881	481
1	4881	481

prune78.0ms (0.7%)

Pruning

30 alts after pruning (29 fresh and 1 done)

	Pruned	Kept	Total
New	44	4	48
Fresh	2	25	27
Picked	1	0	1
Done	0	1	1
Total	47	30	77

Merged error: 18.4b

Counts

77 → 30

Compiler

Compiled 1644 to 1021 computations (37.9% saved)

regimes966.0ms (8.6%)

Compiler: Compiled 12778 to 10836 computations (15.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	69
1	33	69

end0.0ms (0%)

sample6.7s (60%)

Algorithm

1×

intervals

Results

1.3s	1569×	body	1024	valid
1.2s	1436×	body	1024	invalid
612.0ms	5017×	body	128	valid
486.0ms	834×	body	512	valid
397.0ms	697×	body	512	invalid
242.0ms	185×	body	2048	valid
131.0ms	356×	body	256	invalid
122.0ms	390×	body	256	valid
75.0ms	627×	body	128	invalid
25.0ms	5×	body	4096	valid

Compiler

Compiled 1974 to 1662 computations (15.8% saved)

Details

analyze1.5s (13.1%)

sample140.0ms (1.2%)

simplify229.0ms (2%)

prune4.0ms (0%)

localize18.0ms (0.2%)

rewrite27.0ms (0.2%)

series62.0ms (0.6%)

simplify76.0ms (0.7%)

prune205.0ms (1.8%)

localize22.0ms (0.2%)

rewrite11.0ms (0.1%)

series215.0ms (1.9%)

simplify62.0ms (0.6%)

prune128.0ms (1.1%)

localize27.0ms (0.2%)

rewrite12.0ms (0.1%)

series223.0ms (2%)

simplify55.0ms (0.5%)

prune128.0ms (1.1%)

localize22.0ms (0.2%)

rewrite12.0ms (0.1%)

series225.0ms (2%)

simplify79.0ms (0.7%)

prune78.0ms (0.7%)

regimes966.0ms (8.6%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample6.7s (60%)

Profiling