Details

analyze1.3s (8.7%)

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)

sample345.0ms (2.2%)

Algorithm

1×

intervals

Results

240.0ms	40×	body	1024	invalid
25.0ms	48×	body	1024	valid
20.0ms	168×	body	128	valid
12.0ms	3×	body	4096	valid
7.0ms	20×	body	512	valid
6.0ms	16×	body	512	invalid
5.0ms	44×	body	128	invalid
3.0ms	4×	body	2048	valid
3.0ms	13×	body	256	valid
3.0ms	13×	body	256	invalid

Compiler

Compiled 47 to 46 computations (2.1% saved)

simplify58.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (52.0ms)

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

31.0b

Counts

2 → 1

Compiler

Compiled 46 to 40 computations (13% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.7b	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
9.9b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
21.9b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
22.7b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite185.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

30.6b

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:

20.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
11.0ms	(-.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)

series676.0ms (4.4%)

Error

28.9b

Counts

4 → 42

Calls

4 calls:

443.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
102.0ms	(-.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 2972 to 2435 computations (18.1% saved)

simplify89.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4943	2121
1	4943	2121

prune199.0ms (1.3%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	91	22	113
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	92	22	114

Error

28.8b

Counts

114 → 22

Compiler

Compiled 3753 to 2451 computations (34.7% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.7b	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
9.9b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
21.9b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
22.5b	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))

rewrite161.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

28.8b

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:

16.0ms	(.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 1/180 (.f64 angle PI.f64)))
2.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 2305 to 1658 computations (28.1% saved)

series669.0ms (4.3%)

Error

28.8b

Counts

4 → 42

Calls

4 calls:

446.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
92.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
35.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
29.0ms	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))

Compiler

Compiled 2972 to 2369 computations (20.3% saved)

simplify88.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4942	2121
1	4942	2121

prune188.0ms (1.2%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	105	8	113
Fresh	6	15	21
Picked	1	0	1
Done	0	0	0
Total	112	23	135

Error

28.8b

Counts

135 → 23

Compiler

Compiled 3813 to 2377 computations (37.7% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.7b	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
9.9b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 1/180 (.f64 angle PI.f64))))
22.1b	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))
22.5b	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))

rewrite162.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

28.8b

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:

17.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 1/180 (.f64 angle PI.f64))))
9.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
2.0ms	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))
2.0ms	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))

Compiler

Compiled 2305 to 1570 computations (31.9% saved)

series678.0ms (4.4%)

Error

28.8b

Counts

4 → 42

Calls

4 calls:

453.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 1/180 (.f64 angle PI.f64))))
105.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
33.0ms	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))
30.0ms	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))

Compiler

Compiled 2972 to 2329 computations (21.6% saved)

simplify71.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4981	2121
1	4981	2121

prune192.0ms (1.2%)

Pruning

26 alts after pruning (26 fresh and 0 done)

	Pruned	Kept	Total
New	105	8	113
Fresh	4	18	22
Picked	1	0	1
Done	0	0	0
Total	110	26	136

Error

28.8b

Counts

136 → 26

Compiler

Compiled 3906 to 2356 computations (39.7% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

22.1b	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))
22.5b	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))
22.5b	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))
22.5b	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))

rewrite76.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

28.8b

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

Compiler

Compiled 1316 to 869 computations (34% saved)

series196.0ms (1.3%)

Error

28.6b

Counts

4 → 24

Calls

4 calls:

39.0ms	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))
37.0ms	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))
32.0ms	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))
31.0ms	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))

Compiler

Compiled 2592 to 1949 computations (24.8% saved)

simplify56.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5074	895

prune119.0ms (0.8%)

Pruning

27 alts after pruning (27 fresh and 0 done)

	Pruned	Kept	Total
New	48	4	52
Fresh	2	23	25
Picked	1	0	1
Done	0	0	0
Total	51	27	78

Error

28.6b

Counts

78 → 27

Compiler

Compiled 2398 to 1607 computations (33% saved)

regimes2.8s (17.9%)

Accuracy

Total 2.3b remaining (7.4%)

Threshold costs 0b (0%)

Compiler

Compiled 38820 to 32532 computations (16.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	37
1	31	37

end0.0ms (0%)

sample7.1s (45.7%)

Algorithm

1×

intervals

Results

771.0ms	1469×	body	1024	valid
645.0ms	1281×	body	1024	invalid
607.0ms	5132×	body	128	valid
273.0ms	757×	body	512	valid
263.0ms	707×	body	512	invalid
249.0ms	69×	body	4096	valid
155.0ms	177×	body	2048	valid
155.0ms	1293×	body	128	invalid
102.0ms	396×	body	256	valid
81.0ms	328×	body	256	invalid

Compiler

Compiled 3740 to 3133 computations (16.2% saved)

Details

analyze1.3s (8.7%)

sample345.0ms (2.2%)

simplify58.0ms (0.4%)

prune3.0ms (0%)

localize14.0ms (0.1%)

rewrite185.0ms (1.2%)

series676.0ms (4.4%)

simplify89.0ms (0.6%)

prune199.0ms (1.3%)

localize17.0ms (0.1%)

rewrite161.0ms (1%)

series669.0ms (4.3%)

simplify88.0ms (0.6%)

prune188.0ms (1.2%)

localize15.0ms (0.1%)

rewrite162.0ms (1%)

series678.0ms (4.4%)

simplify71.0ms (0.5%)

prune192.0ms (1.2%)

localize20.0ms (0.1%)

rewrite76.0ms (0.5%)

series196.0ms (1.3%)

simplify56.0ms (0.4%)

prune119.0ms (0.8%)

regimes2.8s (17.9%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample7.1s (45.7%)

Profiling