Details

analyze1.2s (7.7%)

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
31.2%	68.6%	0.1%	8
40.6%	59.3%	0.1%	9
40.6%	59.3%	0.1%	10
46%	53.8%	0.1%	11
52.7%	47.2%	0.1%	12
52.7%	44.6%	2.8%	13
55.9%	40.6%	3.5%	14

Compiler

Compiled 24 to 22 computations (8.3% saved)

sample130.0ms (0.8%)

Algorithm

1×

intervals

Results

29.0ms	56×	body	1024	valid
24.0ms	41×	body	1024	invalid
21.0ms	173×	body	128	valid
8.0ms	21×	body	512	invalid
8.0ms	2×	body	4096	valid
7.0ms	53×	body	128	invalid
5.0ms	14×	body	512	valid
4.0ms	5×	body	2048	valid
4.0ms	15×	body	256	invalid
1.0ms	6×	body	256	valid

Compiler

Compiled 47 to 46 computations (2.1% saved)

simplify145.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4912	37
1	4912	37

prune7.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

31.1b

Counts

2 → 1

Compiler

Compiled 46 to 38 computations (17.4% saved)

localize15.0ms (0.1%)

Local error

Found 8 expressions with local error:

0.3b	(.f64 (.f64 (.f64 2 (-.f64 (.f64 b b) (.f64 a a))) (sin.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
0.3b	(*.f64 PI.f64 (/.f64 angle 180))
0.3b	(*.f64 PI.f64 (/.f64 angle 180))
0.0b	(.f64 2 (-.f64 (.f64 b b) (*.f64 a a)))
1.0b	(-.f64 (.f64 b b) (.f64 a a))
11.4b	(.f64 (.f64 2 (-.f64 (.f64 b b) (.f64 a a))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
21.9b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
22.1b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite21.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-cbrt-cube_binary64_114` `add-exp-log_binary64_116` `pow1_binary64_139`
6×	`add-log-exp_binary64_117`
5×	`add-sqr-sqrt_binary64_100` `add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
3×	`cbrt-unprod_binary64_111` `prod-exp_binary64_127` `associate-r_binary64_18` `pow-prod-down_binary64_149`
2×	`flip3--_binary64_82` `flip--_binary64_53` `associate-l/_binary64_21` `associate-r/_binary64_20`
1×	`-commutative_binary64_9` `associate-l*_binary64_19` `diff-log_binary64_170` `difference-of-squares_binary64_47` `cancel-sign-sub-inv_binary64_44` `sub-neg_binary64_71`

Counts

4 → 47

Calls

8 calls:

9.0ms	(.f64 (.f64 2 (-.f64 (.f64 b b) (.f64 a a))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
4.0ms	(-.f64 (.f64 b b) (.f64 a a))
2.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
2.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
0.0ms	(.f64 2 (-.f64 (.f64 b b) (*.f64 a a)))

series611.0ms (3.9%)

Counts

4 → 40

Calls

4 calls:

445.0ms	(.f64 (.f64 2 (-.f64 (.f64 b b) (.f64 a a))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
103.0ms	(-.f64 (.f64 b b) (.f64 a a))
36.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
28.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 1610 to 1397 computations (13.2% saved)

simplify76.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4951	1663
1	4951	1663

prune213.0ms (1.3%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	68	19	87
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	19	88

Error

29.3b

Counts

88 → 19

Compiler

Compiled 2909 to 1746 computations (40% saved)

localize24.0ms (0.1%)

Local error

Found 8 expressions with local error:

0.3b	(cbrt.f64 (cos.f64 (*.f64 PI.f64 (/.f64 angle 180))))
0.2b	(.f64 (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cbrt.f64 (cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))))
0.1b	(.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))) (cbrt.f64 (cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))))
0.0b	(.f64 2 (-.f64 (.f64 b b) (*.f64 a a)))
21.9b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
21.9b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
21.9b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
22.1b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite10.0ms (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

8 calls:

2.0ms	(cos.f64 (*.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)))
2.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
0.0ms	(.f64 2 (-.f64 (.f64 b b) (*.f64 a a)))

series136.0ms (0.9%)

Counts

4 → 24

Calls

4 calls:

37.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
35.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
32.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
32.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 1456 to 1176 computations (19.2% saved)

simplify58.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5143	895

prune168.0ms (1.1%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	45	7	52
Fresh	2	16	18
Picked	1	0	1
Done	0	0	0
Total	48	23	71

Error

29.1b

Counts

71 → 23

Compiler

Compiled 3165 to 2152 computations (32% saved)

localize26.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.2b	(*.f64 PI.f64 angle)
0.2b	(.f64 (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cbrt.f64 (cos.f64 (.f64 1/180 (.f64 PI.f64 angle)))))
0.1b	(.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cbrt.f64 (cos.f64 (.f64 1/180 (.f64 PI.f64 angle))))) (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))))
0.0b	(.f64 2 (-.f64 (.f64 b b) (*.f64 a a)))
21.9b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
21.9b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
22.1b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
22.2b	(cos.f64 (.f64 1/180 (.f64 PI.f64 angle)))

rewrite11.0ms (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

8 calls:

2.0ms	(cos.f64 (.f64 1/180 (.f64 PI.f64 angle)))
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)))
0.0ms	(.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cbrt.f64 (cos.f64 (.f64 1/180 (.f64 PI.f64 angle))))) (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))))

series138.0ms (0.9%)

Counts

4 → 24

Calls

4 calls:

36.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
35.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
34.0ms	(cos.f64 (.f64 1/180 (.f64 PI.f64 angle)))
33.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 1456 to 1176 computations (19.2% saved)

simplify57.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5156	895

prune185.0ms (1.2%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	46	6	52
Fresh	3	19	22
Picked	1	0	1
Done	0	0	0
Total	50	25	75

Error

29.1b

Counts

75 → 25

Compiler

Compiled 3264 to 2180 computations (33.2% saved)

localize36.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.2b	(.f64 (cbrt.f64 (.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))) (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))))) (cbrt.f64 (cos.f64 (.f64 1/180 (.f64 PI.f64 angle)))))
0.1b	(.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))) (cbrt.f64 (cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))))
0.1b	(.f64 (.f64 (cbrt.f64 (.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))) (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))))) (cbrt.f64 (cos.f64 (.f64 1/180 (.f64 PI.f64 angle))))) (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))))
0.0b	(.f64 2 (-.f64 (.f64 b b) (*.f64 a a)))
21.9b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
21.9b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
22.1b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
22.2b	(cos.f64 (.f64 1/180 (.f64 PI.f64 angle)))

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

8 calls:

2.0ms	(cos.f64 (.f64 1/180 (.f64 PI.f64 angle)))
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)))
0.0ms	(.f64 (.f64 (cbrt.f64 (.f64 (.f64 (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))) (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180))))) (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))))) (cbrt.f64 (cos.f64 (.f64 1/180 (.f64 PI.f64 angle))))) (cbrt.f64 (cos.f64 (.f64 PI.f64 (/.f64 angle 180)))))

series159.0ms (1%)

Counts

4 → 24

Calls

4 calls:

43.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
40.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
38.0ms	(cos.f64 (.f64 1/180 (.f64 PI.f64 angle)))
37.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 2000 to 1592 computations (20.4% saved)

simplify56.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5156	895

prune170.0ms (1.1%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	46	6	52
Fresh	5	19	24
Picked	1	0	1
Done	0	0	0
Total	52	25	77

Error

29.0b

Counts

77 → 25

Compiler

Compiled 3282 to 2173 computations (33.8% saved)

simplify57.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (9.0ms)

Iter	Nodes	Cost
0	580	3956
1	580	3956

regimes1.7s (10.5%)

Compiler: Compiled 24193 to 19443 computations (19.6% saved)

bsearch0.0ms (0%)

regimes1.6s (10.1%)

Compiler: Compiled 22861 to 18417 computations (19.4% saved)

bsearch0.0ms (0%)

regimes1.3s (8.5%)

Compiler: Compiled 18457 to 14961 computations (18.9% saved)

bsearch0.0ms (0%)

regimes793.0ms (5%)

Compiler: Compiled 9920 to 8184 computations (17.5% saved)

bsearch0.0ms (0%)

regimes126.0ms (0.8%)

Compiler: Compiled 1052 to 967 computations (8.1% saved)

bsearch0.0ms (0%)

regimes136.0ms (0.9%)

Compiler: Compiled 952 to 921 computations (3.3% saved)

bsearch0.0ms (0%)

regimes99.0ms (0.6%)

Compiler: Compiled 707 to 682 computations (3.5% saved)

bsearch0.0ms (0%)

regimes26.0ms (0.2%)

Accuracy

Total 3.3b remaining (10.5%)

Threshold costs 0b (0%)

Compiler

Compiled 15 to 54 computations (-260% saved)

bsearch13.0ms (0.1%)

Compiler: Compiled 258 to 212 computations (17.8% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	89	429
1	89	429

end0.0ms (0%)

sample6.3s (39.8%)

Algorithm

1×

intervals

Results

830.0ms	1478×	body	1024	valid
670.0ms	1263×	body	1024	invalid
636.0ms	5118×	body	128	valid
321.0ms	818×	body	512	valid
309.0ms	1297×	body	128	invalid
287.0ms	75×	body	4096	valid
246.0ms	646×	body	512	invalid
159.0ms	162×	body	2048	valid
96.0ms	349×	body	256	valid
88.0ms	333×	body	256	invalid

Compiler

Compiled 2669 to 2142 computations (19.7% saved)

Pareto

0.9302954582115958

Details

analyze1.2s (7.7%)

sample130.0ms (0.8%)

simplify145.0ms (0.9%)

prune7.0ms (0%)

localize15.0ms (0.1%)

rewrite21.0ms (0.1%)

series611.0ms (3.9%)

simplify76.0ms (0.5%)

prune213.0ms (1.3%)

localize24.0ms (0.1%)

rewrite10.0ms (0.1%)

series136.0ms (0.9%)

simplify58.0ms (0.4%)

prune168.0ms (1.1%)

localize26.0ms (0.2%)

rewrite11.0ms (0.1%)

series138.0ms (0.9%)

simplify57.0ms (0.4%)

prune185.0ms (1.2%)

localize36.0ms (0.2%)

rewrite12.0ms (0.1%)

series159.0ms (1%)

simplify56.0ms (0.4%)

prune170.0ms (1.1%)

simplify57.0ms (0.4%)

regimes1.7s (10.5%)

bsearch0.0ms (0%)

regimes1.6s (10.1%)

bsearch0.0ms (0%)

regimes1.3s (8.5%)

bsearch0.0ms (0%)

regimes793.0ms (5%)

bsearch0.0ms (0%)

regimes126.0ms (0.8%)

bsearch0.0ms (0%)

regimes136.0ms (0.9%)

bsearch0.0ms (0%)

regimes99.0ms (0.6%)

bsearch0.0ms (0%)

regimes26.0ms (0.2%)

bsearch13.0ms (0.1%)

simplify6.0ms (0%)

end0.0ms (0%)

sample6.3s (39.8%)

Profiling