Details

analyze1.3s (12.2%)

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)

sample125.0ms (1.2%)

Algorithm

1×

intervals

Results

23.0ms	42×	body	1024	valid
18.0ms	5×	body	4096	valid
18.0ms	158×	body	128	valid
16.0ms	33×	body	1024	invalid
13.0ms	36×	body	512	valid
7.0ms	61×	body	128	invalid
5.0ms	14×	body	512	invalid
4.0ms	5×	body	2048	valid
3.0ms	13×	body	256	invalid
2.0ms	10×	body	256	valid

Compiler

Compiled 47 to 46 computations (2.1% saved)

simplify142.0ms (1.4%)

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

32.4b

Counts

2 → 1

Compiler

Compiled 46 to 40 computations (13% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.2b	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
10.0b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
24.3b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
24.6b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite34.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_100`
16×	`difference-of-squares_binary64_47`
13×	`unpow-prod-down_binary64_157`
11×	`*-un-lft-identity_binary64_78`
9×	`add-cbrt-cube_binary64_114` `unpow2_binary64_143` `sqr-pow_binary64_50` `add-exp-log_binary64_116` `pow1_binary64_139`
8×	`cancel-sign-sub-inv_binary64_44`
7×	`add-cube-cbrt_binary64_113`
6×	`add-log-exp_binary64_117`
3×	`cbrt-unprod_binary64_111` `prod-exp_binary64_127` `associate-r_binary64_18` `pow-prod-down_binary64_149`
2×	`distribute-lft-out--_binary64_30` `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` `sub-neg_binary64_71`

Counts

4 → 71

Calls

4 calls:

15.0ms	(.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	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
2.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

series159.0ms (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 PI.f64 (/.f64 angle 180))))
22.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
14.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
14.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

simplify66.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4931	1321
1	4931	1321

prune160.0ms (1.5%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	64	19	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	19	84

Error

30.1b

Counts

84 → 19

Compiler

Compiled 2861 to 1900 computations (33.6% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.2b	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
10.0b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
24.3b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
24.6b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite35.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_100`
16×	`difference-of-squares_binary64_47`
13×	`unpow-prod-down_binary64_157`
11×	`*-un-lft-identity_binary64_78`
9×	`add-cbrt-cube_binary64_114` `unpow2_binary64_143` `sqr-pow_binary64_50` `add-exp-log_binary64_116` `pow1_binary64_139`
8×	`cancel-sign-sub-inv_binary64_44`
7×	`add-cube-cbrt_binary64_113`
6×	`add-log-exp_binary64_117`
3×	`cbrt-unprod_binary64_111` `prod-exp_binary64_127` `associate-r_binary64_18` `pow-prod-down_binary64_149`
2×	`distribute-lft-out--_binary64_30` `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` `sub-neg_binary64_71`

Counts

4 → 71

Calls

4 calls:

15.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
10.0ms	(-.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)))

series147.0ms (1.4%)

Counts

4 → 12

Calls

4 calls:

102.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
23.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
13.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
9.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

simplify63.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4931	1321
1	4931	1321

prune156.0ms (1.5%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	76	7	83
Fresh	2	16	18
Picked	1	0	1
Done	0	0	0
Total	79	23	102

Error

30.1b

Counts

102 → 23

Compiler

Compiled 3155 to 2178 computations (31% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.2b	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
10.0b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
24.3b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
24.6b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite34.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_100`
16×	`difference-of-squares_binary64_47`
13×	`unpow-prod-down_binary64_157`
11×	`*-un-lft-identity_binary64_78`
9×	`add-cbrt-cube_binary64_114` `unpow2_binary64_143` `sqr-pow_binary64_50` `add-exp-log_binary64_116` `pow1_binary64_139`
8×	`cancel-sign-sub-inv_binary64_44`
7×	`add-cube-cbrt_binary64_113`
6×	`add-log-exp_binary64_117`
3×	`cbrt-unprod_binary64_111` `prod-exp_binary64_127` `associate-r_binary64_18` `pow-prod-down_binary64_149`
2×	`distribute-lft-out--_binary64_30` `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` `sub-neg_binary64_71`

Counts

4 → 71

Calls

4 calls:

15.0ms	(.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)))

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 PI.f64 (/.f64 angle 180))))
22.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
16.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
9.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

simplify67.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4931	1321
1	4931	1321

prune194.0ms (1.9%)

Pruning

28 alts after pruning (28 fresh and 0 done)

	Pruned	Kept	Total
New	72	11	83
Fresh	5	17	22
Picked	1	0	1
Done	0	0	0
Total	78	28	106

Error

30.1b

Counts

106 → 28

Compiler

Compiled 3638 to 2607 computations (28.3% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

24.3b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
24.3b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
24.3b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
24.6b	(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

4 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)))

series40.0ms (0.4%)

Counts

4 → 12

Calls

4 calls:

13.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
9.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
9.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
9.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

simplify59.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5135	603

prune89.0ms (0.9%)

Pruning

29 alts after pruning (29 fresh and 0 done)

	Pruned	Kept	Total
New	32	8	40
Fresh	6	21	27
Picked	1	0	1
Done	0	0	0
Total	39	29	68

Error

30.0b

Counts

68 → 29

Compiler

Compiled 1804 to 1357 computations (24.8% saved)

regimes1.8s (17.3%)

Accuracy

Total 2.1b remaining (6.7%)

Threshold costs 0b (0%)

Compiler

Compiled 26096 to 21814 computations (16.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	37
1	33	37

end0.0ms (0%)

sample5.5s (53.1%)

Algorithm

1×

intervals

Results

743.0ms	1477×	body	1024	valid
632.0ms	5191×	body	128	valid
610.0ms	1214×	body	1024	invalid
280.0ms	755×	body	512	valid
277.0ms	76×	body	4096	valid
242.0ms	656×	body	512	invalid
166.0ms	1313×	body	128	invalid
153.0ms	168×	body	2048	valid
82.0ms	331×	body	256	invalid
82.0ms	333×	body	256	valid

Compiler

Compiled 2177 to 1799 computations (17.4% saved)

Details

analyze1.3s (12.2%)

sample125.0ms (1.2%)

simplify142.0ms (1.4%)

prune3.0ms (0%)

localize14.0ms (0.1%)

rewrite34.0ms (0.3%)

series159.0ms (1.5%)

simplify66.0ms (0.6%)

prune160.0ms (1.5%)

localize20.0ms (0.2%)

rewrite35.0ms (0.3%)

series147.0ms (1.4%)

simplify63.0ms (0.6%)

prune156.0ms (1.5%)

localize20.0ms (0.2%)

rewrite34.0ms (0.3%)

series148.0ms (1.4%)

simplify67.0ms (0.6%)

prune194.0ms (1.9%)

localize19.0ms (0.2%)

rewrite10.0ms (0.1%)

series40.0ms (0.4%)

simplify59.0ms (0.6%)

prune89.0ms (0.9%)

regimes1.8s (17.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample5.5s (53.1%)

Profiling