Details

analyze2.0s (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
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)

sample152.0ms (1%)

Algorithm

1×

intervals

Results

32.0ms	43×	body	1024	valid
24.0ms	167×	body	128	valid
23.0ms	40×	body	1024	invalid
13.0ms	27×	body	512	valid
12.0ms	2×	body	4096	valid
9.0ms	7×	body	2048	valid
9.0ms	18×	body	512	invalid
5.0ms	15×	body	256	invalid
5.0ms	31×	body	128	invalid
3.0ms	10×	body	256	valid

Compiler

Compiled 47 to 46 computations (2.1% saved)

simplify223.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4912	37
1	4912	37

prune5.0ms (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

29.3b

Counts

2 → 1

Compiler

Compiled 46 to 40 computations (13% saved)

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.7b	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
8.1b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
22.6b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
22.7b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite57.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64`
16×	`difference-of-squares_binary64`
13×	`unpow-prod-down_binary64`
11×	`*-un-lft-identity_binary64`
9×	`pow1_binary64` `unpow2_binary64` `sqr-pow_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`cancel-sign-sub-inv_binary64`
7×	`add-cube-cbrt_binary64`
6×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64`
2×	`flip3--_binary64` `associate-r/_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `associate-l/_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

4 → 71

Calls

4 calls:

18.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
18.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
4.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
2.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

series248.0ms (1.6%)

Counts

4 → 12

Calls

4 calls:

163.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
41.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
28.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
14.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

simplify77.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4931	1321
1	4931	1321

prune186.0ms (1.2%)

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

Error

26.4b

Counts

84 → 16

Compiler

Compiled 2725 to 1785 computations (34.5% saved)

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.7b	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
8.1b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
22.6b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
22.8b	(cos.f64 (.f64 1/180 (.f64 PI.f64 angle)))

rewrite48.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64`
16×	`difference-of-squares_binary64`
13×	`unpow-prod-down_binary64`
11×	`*-un-lft-identity_binary64`
9×	`pow1_binary64` `unpow2_binary64` `sqr-pow_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`cancel-sign-sub-inv_binary64`
7×	`add-cube-cbrt_binary64`
6×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64`
2×	`flip3--_binary64` `associate-r/_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `associate-l/_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

4 → 71

Calls

4 calls:

24.0ms	(.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))
4.0ms	(cos.f64 (.f64 1/180 (.f64 PI.f64 angle)))
3.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

series284.0ms (1.8%)

Counts

4 → 12

Calls

4 calls:

203.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
40.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
26.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
15.0ms	(cos.f64 (.f64 1/180 (.f64 PI.f64 angle)))

simplify98.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4930	1321
1	4930	1321

prune204.0ms (1.3%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	76	7	83
Fresh	5	10	15
Picked	1	0	1
Done	0	0	0
Total	82	17	99

Error

26.2b

Counts

99 → 17

Compiler

Compiled 2765 to 1733 computations (37.3% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.7b	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
8.1b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 1/180 (.f64 PI.f64 angle))))
22.5b	(sin.f64 (.f64 1/180 (.f64 PI.f64 angle)))
22.8b	(cos.f64 (.f64 1/180 (.f64 PI.f64 angle)))

rewrite62.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64`
16×	`difference-of-squares_binary64`
13×	`unpow-prod-down_binary64`
11×	`*-un-lft-identity_binary64`
9×	`pow1_binary64` `unpow2_binary64` `sqr-pow_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`cancel-sign-sub-inv_binary64`
7×	`add-cube-cbrt_binary64`
6×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64`
2×	`flip3--_binary64` `associate-r/_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `associate-l/_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

4 → 71

Calls

4 calls:

28.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 1/180 (.f64 PI.f64 angle))))
16.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
4.0ms	(sin.f64 (.f64 1/180 (.f64 PI.f64 angle)))
4.0ms	(cos.f64 (.f64 1/180 (.f64 PI.f64 angle)))

series231.0ms (1.5%)

Counts

4 → 12

Calls

4 calls:

175.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 1/180 (.f64 PI.f64 angle))))
32.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
14.0ms	(sin.f64 (.f64 1/180 (.f64 PI.f64 angle)))
10.0ms	(cos.f64 (.f64 1/180 (.f64 PI.f64 angle)))

simplify121.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4934	1321
1	4934	1321

prune209.0ms (1.4%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	75	8	83
Fresh	1	15	16
Picked	1	0	1
Done	0	0	0
Total	77	23	100

Error

26.2b

Counts

100 → 23

Compiler

Compiled 2985 to 1794 computations (39.9% saved)

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.7b	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
8.1b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 1/180 (.f64 PI.f64 angle))))
22.5b	(sin.f64 (.f64 1/180 (.f64 PI.f64 angle)))
22.8b	(cos.f64 (.f64 1/180 (.f64 PI.f64 angle)))

rewrite53.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64`
16×	`difference-of-squares_binary64`
13×	`unpow-prod-down_binary64`
11×	`*-un-lft-identity_binary64`
9×	`pow1_binary64` `unpow2_binary64` `sqr-pow_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`cancel-sign-sub-inv_binary64`
7×	`add-cube-cbrt_binary64`
6×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64`
2×	`flip3--_binary64` `associate-r/_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `associate-l/_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

4 → 71

Calls

4 calls:

24.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 1/180 (.f64 PI.f64 angle))))
12.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
5.0ms	(cos.f64 (.f64 1/180 (.f64 PI.f64 angle)))
4.0ms	(sin.f64 (.f64 1/180 (.f64 PI.f64 angle)))

series218.0ms (1.4%)

Counts

4 → 12

Calls

4 calls:

149.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 1/180 (.f64 PI.f64 angle))))
38.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
16.0ms	(cos.f64 (.f64 1/180 (.f64 PI.f64 angle)))
14.0ms	(sin.f64 (.f64 1/180 (.f64 PI.f64 angle)))

simplify85.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4934	1321
1	4934	1321

prune188.0ms (1.2%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	76	7	83
Fresh	5	17	22
Picked	1	0	1
Done	0	0	0
Total	82	24	106

Error

26.2b

Counts

106 → 24

Compiler

Compiled 2404 to 1394 computations (42% saved)

regimes2.1s (13.7%)

Accuracy

Total 2.2b remaining (7.2%)

Threshold costs 0b (0%)

Compiler

Compiled 21672 to 17176 computations (20.7% saved)

bsearch436.0ms (2.8%)

Steps

Iters	Range		Point
7	-9.016024964551148e+89	-9.800597483395805e+87	-1.0003839562376489e+88

Compiler

Compiled 3 to 5 computations (-66.7% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	39	63
1	39	63

end0.0ms (0%)

sample8.0s (51.7%)

Algorithm

1×

intervals

Results

1.1s	1429×	body	1024	valid
979.0ms	1309×	body	1024	invalid
920.0ms	5222×	body	128	valid
385.0ms	710×	body	512	valid
342.0ms	65×	body	4096	valid
321.0ms	617×	body	512	invalid
262.0ms	191×	body	2048	valid
228.0ms	1277×	body	128	invalid
138.0ms	383×	body	256	valid
106.0ms	313×	body	256	invalid

Compiler

Compiled 2071 to 1640 computations (20.8% saved)

Details

analyze2.0s (13.1%)

sample152.0ms (1%)

simplify223.0ms (1.4%)

prune5.0ms (0%)

localize31.0ms (0.2%)

rewrite57.0ms (0.4%)

series248.0ms (1.6%)

simplify77.0ms (0.5%)

prune186.0ms (1.2%)

localize33.0ms (0.2%)

rewrite48.0ms (0.3%)

series284.0ms (1.8%)

simplify98.0ms (0.6%)

prune204.0ms (1.3%)

localize28.0ms (0.2%)

rewrite62.0ms (0.4%)

series231.0ms (1.5%)

simplify121.0ms (0.8%)

prune209.0ms (1.4%)

localize32.0ms (0.2%)

rewrite53.0ms (0.3%)

series218.0ms (1.4%)

simplify85.0ms (0.6%)

prune188.0ms (1.2%)

regimes2.1s (13.7%)

bsearch436.0ms (2.8%)

simplify5.0ms (0%)

end0.0ms (0%)

sample8.0s (51.7%)

Profiling