Details

analyze1.4s (8.8%)

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)

sample131.0ms (0.8%)

Algorithm

1×

intervals

Results

30.0ms	51×	body	1024	valid
21.0ms	41×	body	1024	invalid
19.0ms	165×	body	128	valid
11.0ms	29×	body	512	invalid
8.0ms	2×	body	4096	valid
7.0ms	19×	body	512	valid
5.0ms	41×	body	128	invalid
4.0ms	15×	body	256	valid
3.0ms	4×	body	2048	valid
2.0ms	10×	body	256	invalid

Compiler

Compiled 47 to 46 computations (2.1% saved)

simplify53.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4912	37
1	4912	37

prune4.0ms (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

32.8b

Counts

2 → 1

Compiler

Compiled 46 to 40 computations (13% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
11.0b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
23.2b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
23.6b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite199.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

32.4b

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×	`pow1_binary64_480` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `unpow2_binary64_484` `sqr-pow_binary64_391`
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` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `associate-r_binary64_359`
2×	`flip3--_binary64_423` `associate-r/_binary64_361` `associate-l/_binary64_362` `flip--_binary64_394` `distribute-lft-out--_binary64_371`
1×	`associate-l_binary64_360` `*-commutative_binary64_350` `diff-log_binary64_511` `sub-neg_binary64_412`

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)))

Compiler

Compiled 2305 to 1733 computations (24.8% saved)

series907.0ms (5.8%)

Error

30.5b

Counts

4 → 36

Calls

4 calls:

622.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
162.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
32.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
30.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 2390 to 1977 computations (17.3% saved)

simplify72.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4971	1699
1	4971	1699

prune209.0ms (1.3%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	87	20	107
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	88	20	108

Error

30.2b

Counts

108 → 20

Compiler

Compiled 3344 to 2155 computations (35.6% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(.f64 1/180 (.f64 angle PI.f64))
11.0b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
23.2b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
23.7b	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))

rewrite139.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

29.6b

Rules

14×	`pow1_binary64_480` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
6×	`add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441` `*-un-lft-identity_binary64_419` `pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452`
4×	`add-log-exp_binary64_458` `associate-l_binary64_360` `associate-r_binary64_359`
2×	`associate-r/_binary64_361` `associate-l/_binary64_362` `*-commutative_binary64_350`
1×	`flip3--_binary64_423` `flip--_binary64_394`

Counts

4 → 52

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))))
5.0ms	(.f64 1/180 (.f64 angle PI.f64))
2.0ms	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))
2.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 1640 to 1182 computations (27.9% saved)

series767.0ms (4.9%)

Error

30.2b

Counts

4 → 27

Calls

4 calls:

628.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
39.0ms	(.f64 1/180 (.f64 angle PI.f64))
32.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
28.0ms	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))

Compiler

Compiled 1943 to 1544 computations (20.5% saved)

simplify64.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4958	1406
1	4958	1406

prune185.0ms (1.2%)

Pruning

27 alts after pruning (27 fresh and 0 done)

	Pruned	Kept	Total
New	68	11	79
Fresh	3	16	19
Picked	1	0	1
Done	0	0	0
Total	72	27	99

Error

29.6b

Counts

99 → 27

Compiler

Compiled 2918 to 1986 computations (31.9% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

23.2b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
23.6b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
23.6b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
23.6b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite90.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

29.6b

Rules

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

Counts

4 → 28

Calls

4 calls:

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

Compiler

Compiled 1316 to 1000 computations (24% saved)

series190.0ms (1.2%)

Error

29.5b

Counts

4 → 16

Calls

4 calls:

40.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
37.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
36.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
36.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 1840 to 1505 computations (18.2% saved)

simplify64.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5075	562

prune373.0ms (2.4%)

Pruning

29 alts after pruning (29 fresh and 0 done)

	Pruned	Kept	Total
New	38	6	44
Fresh	3	23	26
Picked	1	0	1
Done	0	0	0
Total	42	29	71

Error

29.5b

Counts

71 → 29

Compiler

Compiled 2849 to 2212 computations (22.4% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

23.2b	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))
23.6b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
23.6b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
23.6b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite80.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

29.5b

Rules

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

Counts

4 → 28

Calls

4 calls:

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

Compiler

Compiled 1316 to 968 computations (26.4% saved)

series188.0ms (1.2%)

Error

29.5b

Counts

4 → 16

Calls

4 calls:

39.0ms	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))
38.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
37.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
36.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 1840 to 1481 computations (19.5% saved)

simplify67.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5074	562

prune112.0ms (0.7%)

Pruning

29 alts after pruning (29 fresh and 0 done)

	Pruned	Kept	Total
New	42	2	44
Fresh	1	27	28
Picked	1	0	1
Done	0	0	0
Total	44	29	73

Error

29.5b

Counts

73 → 29

Compiler

Compiled 1916 to 1403 computations (26.8% saved)

regimes3.2s (20.5%)

Accuracy

Total 3.1b remaining (9.7%)

Threshold costs 0b (0%)

Compiler

Compiled 40400 to 34366 computations (14.9% 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%)

sample7.1s (45.4%)

Algorithm

1×

intervals

Results

826.0ms	1560×	body	1024	valid
637.0ms	1237×	body	1024	invalid
626.0ms	5071×	body	128	valid
309.0ms	84×	body	4096	valid
271.0ms	730×	body	512	valid
218.0ms	619×	body	512	invalid
156.0ms	1256×	body	128	invalid
156.0ms	177×	body	2048	valid
109.0ms	378×	body	256	valid
81.0ms	326×	body	256	invalid

Compiler

Compiled 3689 to 3142 computations (14.8% saved)

Details

analyze1.4s (8.8%)

sample131.0ms (0.8%)

simplify53.0ms (0.3%)

prune4.0ms (0%)

localize14.0ms (0.1%)

rewrite199.0ms (1.3%)

series907.0ms (5.8%)

simplify72.0ms (0.5%)

prune209.0ms (1.3%)

localize17.0ms (0.1%)

rewrite139.0ms (0.9%)

series767.0ms (4.9%)

simplify64.0ms (0.4%)

prune185.0ms (1.2%)

localize22.0ms (0.1%)

rewrite90.0ms (0.6%)

series190.0ms (1.2%)

simplify64.0ms (0.4%)

prune373.0ms (2.4%)

localize22.0ms (0.1%)

rewrite80.0ms (0.5%)

series188.0ms (1.2%)

simplify67.0ms (0.4%)

prune112.0ms (0.7%)

regimes3.2s (20.5%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample7.1s (45.4%)

Profiling