Details

analyze1.3s (12.1%)

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)

sample104.0ms (1%)

Algorithm

1×

intervals

Results

32.0ms	57×	body	1024	valid
17.0ms	159×	body	128	valid
13.0ms	27×	body	1024	invalid
8.0ms	23×	body	512	valid
5.0ms	1×	body	4096	valid
4.0ms	13×	body	512	invalid
4.0ms	33×	body	128	invalid
3.0ms	13×	body	256	valid
2.0ms	11×	body	256	invalid
2.0ms	3×	body	2048	valid

Compiler

Compiled 47 to 46 computations (2.1% saved)

simplify56.0ms (0.5%)

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

Merged error: 33.4b

Counts

2 → 1

Compiler

Compiled 46 to 40 computations (13% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.0b	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
10.5b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
24.2b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
24.3b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite37.0ms (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 PI.f64 (/.f64 angle 180)))
2.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

series150.0ms (1.4%)

Counts

4 → 12

Calls

4 calls:

105.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
21.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
13.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
11.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

simplify69.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4931	1321
1	4931	1321

prune159.0ms (1.5%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	67	16	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	68	16	84

Merged error: 31.8b

Counts

84 → 16

Compiler

Compiled 2752 to 1814 computations (34.1% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.0b	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
10.5b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 1/180 (.f64 PI.f64 angle))))
24.3b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
24.3b	(sin.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 1/180 (.f64 PI.f64 angle))))
9.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
2.0ms	(sin.f64 (.f64 1/180 (.f64 PI.f64 angle)))
2.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

series149.0ms (1.4%)

Counts

4 → 12

Calls

4 calls:

103.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 1/180 (.f64 PI.f64 angle))))
23.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
13.0ms	(sin.f64 (.f64 1/180 (.f64 PI.f64 angle)))
10.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

simplify91.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4924	1321
1	4924	1321

prune141.0ms (1.3%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	75	8	83
Fresh	4	11	15
Picked	1	0	1
Done	0	0	0
Total	80	19	99

Merged error: 31.8b

Counts

99 → 19

Compiler

Compiled 2854 to 1794 computations (37.1% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.0b	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
10.5b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 1/180 (.f64 PI.f64 angle))))
24.3b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
24.3b	(sin.f64 (.f64 1/180 (.f64 PI.f64 angle)))

rewrite34.0ms (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 1/180 (.f64 PI.f64 angle))))
9.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
2.0ms	(sin.f64 (.f64 1/180 (.f64 PI.f64 angle)))
2.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

series152.0ms (1.5%)

Counts

4 → 12

Calls

4 calls:

108.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 1/180 (.f64 PI.f64 angle))))
21.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
14.0ms	(sin.f64 (.f64 1/180 (.f64 PI.f64 angle)))
9.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

simplify86.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4924	1321
1	4924	1321

prune163.0ms (1.6%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	73	10	83
Fresh	5	13	18
Picked	1	0	1
Done	0	0	0
Total	79	23	102

Merged error: 31.8b

Counts

102 → 23

Compiler

Compiled 3231 to 2158 computations (33.2% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.0b	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
10.5b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 1/180 (.f64 PI.f64 angle))))
24.3b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
24.3b	(sin.f64 (.f64 1/180 (.f64 PI.f64 angle)))

rewrite37.0ms (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:

16.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 1/180 (.f64 PI.f64 angle))))
9.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
2.0ms	(sin.f64 (.f64 1/180 (.f64 PI.f64 angle)))
2.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

series148.0ms (1.4%)

Counts

4 → 12

Calls

4 calls:

101.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 1/180 (.f64 PI.f64 angle))))
24.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
13.0ms	(sin.f64 (.f64 1/180 (.f64 PI.f64 angle)))
9.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

simplify83.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4924	1321
1	4924	1321

prune134.0ms (1.3%)

Pruning

27 alts after pruning (27 fresh and 0 done)

	Pruned	Kept	Total
New	76	7	83
Fresh	2	20	22
Picked	1	0	1
Done	0	0	0
Total	79	27	106

Merged error: 31.8b

Counts

106 → 27

Compiler

Compiled 2653 to 1726 computations (34.9% saved)

regimes1.8s (17.2%)

Compiler: Compiled 22322 to 17958 computations (19.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	37
1	36	37

end0.0ms (0%)

sample5.5s (52.5%)

Algorithm

1×

intervals

Results

767.0ms	1474×	body	1024	valid
624.0ms	1246×	body	1024	invalid
605.0ms	5169×	body	128	valid
334.0ms	90×	body	4096	valid
264.0ms	733×	body	512	valid
234.0ms	655×	body	512	invalid
174.0ms	1343×	body	128	invalid
142.0ms	151×	body	2048	valid
94.0ms	383×	body	256	valid
76.0ms	326×	body	256	invalid

Compiler

Compiled 2106 to 1694 computations (19.6% saved)

Details

analyze1.3s (12.1%)

sample104.0ms (1%)

simplify56.0ms (0.5%)

prune3.0ms (0%)

localize14.0ms (0.1%)

rewrite37.0ms (0.3%)

series150.0ms (1.4%)

simplify69.0ms (0.7%)

prune159.0ms (1.5%)

localize19.0ms (0.2%)

rewrite33.0ms (0.3%)

series149.0ms (1.4%)

simplify91.0ms (0.9%)

prune141.0ms (1.3%)

localize19.0ms (0.2%)

rewrite34.0ms (0.3%)

series152.0ms (1.5%)

simplify86.0ms (0.8%)

prune163.0ms (1.6%)

localize22.0ms (0.2%)

rewrite37.0ms (0.4%)

series148.0ms (1.4%)

simplify83.0ms (0.8%)

prune134.0ms (1.3%)

regimes1.8s (17.2%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample5.5s (52.5%)

Profiling