Details

analyze1.2s (12.1%)

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)

sample111.0ms (1.1%)

Algorithm

1×

intervals

Results

29.0ms	54×	body	1024	valid
20.0ms	159×	body	128	valid
17.0ms	26×	body	1024	invalid
11.0ms	30×	body	512	valid
6.0ms	15×	body	512	invalid
5.0ms	36×	body	128	invalid
5.0ms	1×	body	4096	valid
3.0ms	10×	body	256	valid
2.0ms	7×	body	256	invalid
2.0ms	2×	body	2048	valid

Compiler

Compiled 47 to 46 computations (2.1% saved)

simplify142.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4912	37
1	4912	37

prune7.0ms (0.1%)

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: 32.9b

Counts

2 → 1

Compiler

Compiled 46 to 40 computations (13% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.5b	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
9.4b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
26.6b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
26.6b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite33.0ms (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:

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	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
1.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

series160.0ms (1.7%)

Counts

4 → 12

Calls

4 calls:

113.0ms	(.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))
14.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
10.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

simplify63.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4931	1321
1	4931	1321

prune151.0ms (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

Merged error: 31.5b

Counts

84 → 17

Compiler

Compiled 2785 to 1835 computations (34.1% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.5b	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
9.4b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 1/180 (.f64 PI.f64 angle))))
26.5b	(sin.f64 (.f64 1/180 (.f64 PI.f64 angle)))
26.6b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite37.0ms (0.4%)

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:

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)))

series148.0ms (1.5%)

Counts

4 → 12

Calls

4 calls:

102.0ms	(.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)))

simplify82.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4924	1321
1	4924	1321

prune145.0ms (1.5%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	77	6	83
Fresh	2	14	16
Picked	1	0	1
Done	0	0	0
Total	80	20	100

Merged error: 31.4b

Counts

100 → 20

Compiler

Compiled 2875 to 1824 computations (36.6% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

26.5b	(sin.f64 (.f64 1/180 (.f64 PI.f64 angle)))
26.6b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
26.6b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
26.6b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite13.0ms (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:

4.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
2.0ms	(sin.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)))

series42.0ms (0.4%)

Counts

4 → 12

Calls

4 calls:

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

simplify57.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5134	603

prune269.0ms (2.8%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	36	4	40
Fresh	0	19	19
Picked	1	0	1
Done	0	0	0
Total	37	23	60

Merged error: 31.3b

Counts

60 → 23

Compiler

Compiled 2608 to 1964 computations (24.7% saved)

localize32.0ms (0.3%)

Local error

Found 4 expressions with local error:

26.6b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
26.6b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
26.6b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
26.6b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

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

4 calls:

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

series35.0ms (0.4%)

Counts

4 → 12

Calls

4 calls:

10.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
9.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
8.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
8.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

simplify89.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4782	584
1	4782	584

prune117.0ms (1.2%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	37	3	40
Fresh	1	21	22
Picked	1	0	1
Done	0	0	0
Total	39	24	63

Merged error: 31.3b

Counts

63 → 24

Compiler

Compiled 2472 to 1829 computations (26% saved)

regimes1.3s (13.7%)

Compiler: Compiled 19636 to 16014 computations (18.4% 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%)

sample5.4s (55.5%)

Algorithm

1×

intervals

Results

780.0ms	1452×	body	1024	valid
677.0ms	1272×	body	1024	invalid
659.0ms	5189×	body	128	valid
285.0ms	752×	body	512	valid
268.0ms	74×	body	4096	valid
247.0ms	656×	body	512	invalid
170.0ms	1245×	body	128	invalid
163.0ms	166×	body	2048	valid
107.0ms	367×	body	256	valid
88.0ms	325×	body	256	invalid

Compiler

Compiled 1850 to 1511 computations (18.3% saved)

Details

analyze1.2s (12.1%)

sample111.0ms (1.1%)

simplify142.0ms (1.5%)

prune7.0ms (0.1%)

localize15.0ms (0.2%)

rewrite33.0ms (0.3%)

series160.0ms (1.7%)

simplify63.0ms (0.7%)

prune151.0ms (1.6%)

localize17.0ms (0.2%)

rewrite37.0ms (0.4%)

series148.0ms (1.5%)

simplify82.0ms (0.9%)

prune145.0ms (1.5%)

localize23.0ms (0.2%)

rewrite13.0ms (0.1%)

series42.0ms (0.4%)

simplify57.0ms (0.6%)

prune269.0ms (2.8%)

localize32.0ms (0.3%)

rewrite11.0ms (0.1%)

series35.0ms (0.4%)

simplify89.0ms (0.9%)

prune117.0ms (1.2%)

regimes1.3s (13.7%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample5.4s (55.5%)

Profiling