Details

analyze1.3s (13.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4956	148
1	4956	148
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
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)

sample127.0ms (1.3%)

Algorithm

1×

intervals

Results

31.0ms	51×	body	1024	valid
23.0ms	43×	body	1024	invalid
21.0ms	176×	body	128	valid
9.0ms	24×	body	512	invalid
8.0ms	2×	body	4096	valid
7.0ms	55×	body	128	invalid
7.0ms	18×	body	512	valid
3.0ms	13×	body	256	invalid
2.0ms	7×	body	256	valid
2.0ms	2×	body	2048	valid

Compiler

Compiled 47 to 46 computations (2.1% saved)

simplify56.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4912	37
1	4912	37

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

32.7b

Counts

2 → 1

Compiler

Compiled 46 to 40 computations (13% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.8b	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
12.4b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
21.3b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
21.6b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite36.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_441`
16×	`difference-of-squares_binary64_388`
13×	`unpow-prod-down_binary64_498`
11×	`*-un-lft-identity_binary64_419`
9×	`sqr-pow_binary64_391` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `unpow2_binary64_484` `pow1_binary64_480`
8×	`cancel-sign-sub-inv_binary64_385`
7×	`add-cube-cbrt_binary64_454`
6×	`add-log-exp_binary64_458`
3×	`pow-prod-down_binary64_490` `associate-r_binary64_359` `prod-exp_binary64_468` `cbrt-unprod_binary64_452`
2×	`associate-l/_binary64_362` `flip3--_binary64_423` `associate-r/_binary64_361` `distribute-lft-out--_binary64_371` `flip--_binary64_394`
1×	`sub-neg_binary64_412` `-commutative_binary64_350` `associate-l*_binary64_360` `diff-log_binary64_511`

Counts

4 → 71

Calls

4 calls:

14.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
9.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
2.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
2.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

series155.0ms (1.6%)

Counts

4 → 12

Calls

4 calls:

108.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
22.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
13.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
12.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

simplify66.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4931	1321
1	4931	1321

prune154.0ms (1.6%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	66	17	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	67	17	84

Error

31.1b

Counts

84 → 17

Compiler

Compiled 2761 to 1824 computations (33.9% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.8b	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
12.4b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
21.3b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
21.7b	(cos.f64 (.f64 1/180 (.f64 PI.f64 angle)))

rewrite33.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_441`
16×	`difference-of-squares_binary64_388`
13×	`unpow-prod-down_binary64_498`
11×	`*-un-lft-identity_binary64_419`
9×	`sqr-pow_binary64_391` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `unpow2_binary64_484` `pow1_binary64_480`
8×	`cancel-sign-sub-inv_binary64_385`
7×	`add-cube-cbrt_binary64_454`
6×	`add-log-exp_binary64_458`
3×	`pow-prod-down_binary64_490` `associate-r_binary64_359` `prod-exp_binary64_468` `cbrt-unprod_binary64_452`
2×	`associate-l/_binary64_362` `flip3--_binary64_423` `associate-r/_binary64_361` `distribute-lft-out--_binary64_371` `flip--_binary64_394`
1×	`sub-neg_binary64_412` `-commutative_binary64_350` `associate-l*_binary64_360` `diff-log_binary64_511`

Counts

4 → 71

Calls

4 calls:

14.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
9.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
2.0ms	(cos.f64 (.f64 1/180 (.f64 PI.f64 angle)))
2.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

series163.0ms (1.6%)

Counts

4 → 12

Calls

4 calls:

116.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
24.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
13.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
11.0ms	(cos.f64 (.f64 1/180 (.f64 PI.f64 angle)))

simplify64.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4930	1321
1	4930	1321

prune136.0ms (1.4%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	78	5	83
Fresh	2	14	16
Picked	1	0	1
Done	0	0	0
Total	81	19	100

Error

31.0b

Counts

100 → 19

Compiler

Compiled 2826 to 1793 computations (36.6% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

21.3b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
21.7b	(cos.f64 (.f64 1/180 (.f64 PI.f64 angle)))
21.7b	(cos.f64 (.f64 1/180 (.f64 PI.f64 angle)))
21.7b	(cos.f64 (.f64 1/180 (.f64 PI.f64 angle)))

rewrite12.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64_419` `add-log-exp_binary64_458` `add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `pow1_binary64_480`

Counts

4 → 28

Calls

4 calls:

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

series46.0ms (0.5%)

Counts

4 → 12

Calls

4 calls:

18.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
10.0ms	(cos.f64 (.f64 1/180 (.f64 PI.f64 angle)))
9.0ms	(cos.f64 (.f64 1/180 (.f64 PI.f64 angle)))
9.0ms	(cos.f64 (.f64 1/180 (.f64 PI.f64 angle)))

simplify58.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5134	603

prune128.0ms (1.3%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	35	5	40
Fresh	3	15	18
Picked	1	0	1
Done	0	0	0
Total	39	20	59

Error

31.0b

Counts

59 → 20

Compiler

Compiled 2511 to 1802 computations (28.2% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

21.2b	(sin.f64 (.f64 1/180 (.f64 PI.f64 angle)))
21.7b	(cos.f64 (.f64 1/180 (.f64 PI.f64 angle)))
21.7b	(cos.f64 (.f64 1/180 (.f64 PI.f64 angle)))
21.7b	(cos.f64 (.f64 1/180 (.f64 PI.f64 angle)))

rewrite13.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64_419` `add-log-exp_binary64_458` `add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `pow1_binary64_480`

Counts

4 → 28

Calls

4 calls:

3.0ms	(sin.f64 (.f64 1/180 (.f64 PI.f64 angle)))
2.0ms	(cos.f64 (.f64 1/180 (.f64 PI.f64 angle)))
2.0ms	(cos.f64 (.f64 1/180 (.f64 PI.f64 angle)))
2.0ms	(cos.f64 (.f64 1/180 (.f64 PI.f64 angle)))

series41.0ms (0.4%)

Counts

4 → 12

Calls

4 calls:

12.0ms	(sin.f64 (.f64 1/180 (.f64 PI.f64 angle)))
10.0ms	(cos.f64 (.f64 1/180 (.f64 PI.f64 angle)))
9.0ms	(cos.f64 (.f64 1/180 (.f64 PI.f64 angle)))
9.0ms	(cos.f64 (.f64 1/180 (.f64 PI.f64 angle)))

simplify59.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4902	603
1	4902	603

prune86.0ms (0.9%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	37	3	40
Fresh	2	17	19
Picked	1	0	1
Done	0	0	0
Total	40	20	60

Error

31.0b

Counts

60 → 20

Compiler

Compiled 1804 to 1197 computations (33.6% saved)

regimes1.6s (16%)

Accuracy

Total 2.2b remaining (7%)

Threshold costs 0b (0%)

Compiler

Compiled 19342 to 15822 computations (18.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	39	42
1	39	42

end0.0ms (0%)

sample5.5s (55.4%)

Algorithm

1×

intervals

Results

833.0ms	1501×	body	1024	valid
680.0ms	5132×	body	128	valid
669.0ms	1247×	body	1024	invalid
311.0ms	84×	body	4096	valid
292.0ms	738×	body	512	valid
234.0ms	615×	body	512	invalid
177.0ms	179×	body	2048	valid
162.0ms	1244×	body	128	invalid
105.0ms	366×	body	256	valid
82.0ms	319×	body	256	invalid

Compiler

Compiled 1813 to 1485 computations (18.1% saved)

Details

analyze1.3s (13.4%)

sample127.0ms (1.3%)

simplify56.0ms (0.6%)

prune3.0ms (0%)

localize15.0ms (0.1%)

rewrite36.0ms (0.4%)

series155.0ms (1.6%)

simplify66.0ms (0.7%)

prune154.0ms (1.6%)

localize19.0ms (0.2%)

rewrite33.0ms (0.3%)

series163.0ms (1.6%)

simplify64.0ms (0.6%)

prune136.0ms (1.4%)

localize23.0ms (0.2%)

rewrite12.0ms (0.1%)

series46.0ms (0.5%)

simplify58.0ms (0.6%)

prune128.0ms (1.3%)

localize20.0ms (0.2%)

rewrite13.0ms (0.1%)

series41.0ms (0.4%)

simplify59.0ms (0.6%)

prune86.0ms (0.9%)

regimes1.6s (16%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample5.5s (55.4%)

Profiling