Details

analyze1.5s (9.5%)

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)

sample128.0ms (0.8%)

Algorithm

1×

intervals

Results

27.0ms	44×	body	1024	valid
27.0ms	55×	body	1024	invalid
20.0ms	171×	body	128	valid
9.0ms	26×	body	512	valid
8.0ms	2×	body	4096	valid
7.0ms	17×	body	512	invalid
4.0ms	5×	body	2048	valid
4.0ms	33×	body	128	invalid
2.0ms	8×	body	256	valid
2.0ms	7×	body	256	invalid

Compiler

Compiled 47 to 46 computations (2.1% saved)

simplify57.0ms (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

28.9b

Counts

2 → 1

Compiler

Compiled 46 to 40 computations (13% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.6b	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
8.2b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
22.8b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
22.8b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite179.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

28.7b

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)

series673.0ms (4.3%)

Error

26.7b

Counts

4 → 42

Calls

4 calls:

438.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
104.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
33.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
28.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 2972 to 2435 computations (18.1% saved)

simplify88.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4943	2121
1	4943	2121

prune195.0ms (1.2%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	95	18	113
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	96	18	114

Error

26.6b

Counts

114 → 18

Compiler

Compiled 3624 to 2348 computations (35.2% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.6b	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
8.2b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
22.8b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
22.8b	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))

rewrite161.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

26.6b

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:

14.0ms	(.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 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)

series664.0ms (4.2%)

Error

26.5b

Counts

4 → 42

Calls

4 calls:

438.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
101.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
32.0ms	(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

prune183.0ms (1.2%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	108	5	113
Fresh	2	15	17
Picked	1	0	1
Done	0	0	0
Total	111	20	131

Error

26.5b

Counts

131 → 20

Compiler

Compiled 3709 to 2296 computations (38.1% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.6b	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
8.2b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 1/180 (.f64 angle PI.f64))))
22.5b	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))
22.8b	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))

rewrite156.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

26.5b

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:

15.0ms	(.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	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))
2.0ms	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))

Compiler

Compiled 2305 to 1570 computations (31.9% saved)

series649.0ms (4.1%)

Error

26.5b

Counts

4 → 42

Calls

4 calls:

426.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 1/180 (.f64 angle PI.f64))))
99.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
31.0ms	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))
31.0ms	(sin.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 (47.0ms)

Iter	Nodes	Cost
0	4981	2121
1	4981	2121

prune187.0ms (1.2%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	107	6	113
Fresh	0	19	19
Picked	1	0	1
Done	0	0	0
Total	108	25	133

Error

26.5b

Counts

133 → 25

Compiler

Compiled 3860 to 2321 computations (39.9% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

22.5b	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))
22.8b	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))
22.8b	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))
22.8b	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))

rewrite79.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

26.5b

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:

3.0ms	(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)

series188.0ms (1.2%)

Error

26.4b

Counts

4 → 24

Calls

4 calls:

36.0ms	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))
34.0ms	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))
33.0ms	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))
30.0ms	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))

Compiler

Compiled 2592 to 1949 computations (24.8% saved)

simplify54.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5074	895

prune125.0ms (0.8%)

Pruning

28 alts after pruning (28 fresh and 0 done)

	Pruned	Kept	Total
New	45	7	52
Fresh	3	21	24
Picked	1	0	1
Done	0	0	0
Total	49	28	77

Error

26.4b

Counts

77 → 28

Compiler

Compiled 2398 to 1607 computations (33% saved)

regimes3.0s (18.8%)

Accuracy

Total 2.5b remaining (8%)

Threshold costs 0b (0%)

Compiler

Compiled 40988 to 34406 computations (16.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	63
1	36	63

end0.0ms (0%)

sample7.3s (46.3%)

Algorithm

1×

intervals

Results

769.0ms	1444×	body	1024	valid
666.0ms	1302×	body	1024	invalid
641.0ms	5154×	body	128	valid
329.0ms	89×	body	4096	valid
291.0ms	769×	body	512	valid
245.0ms	669×	body	512	invalid
179.0ms	191×	body	2048	valid
163.0ms	1284×	body	128	invalid
97.0ms	353×	body	256	valid
79.0ms	326×	body	256	invalid

Compiler

Compiled 3837 to 3216 computations (16.2% saved)

Details

analyze1.5s (9.5%)

sample128.0ms (0.8%)

simplify57.0ms (0.4%)

prune3.0ms (0%)

localize14.0ms (0.1%)

rewrite179.0ms (1.1%)

series673.0ms (4.3%)

simplify88.0ms (0.6%)

prune195.0ms (1.2%)

localize16.0ms (0.1%)

rewrite161.0ms (1%)

series664.0ms (4.2%)

simplify88.0ms (0.6%)

prune183.0ms (1.2%)

localize14.0ms (0.1%)

rewrite156.0ms (1%)

series649.0ms (4.1%)

simplify71.0ms (0.5%)

prune187.0ms (1.2%)

localize22.0ms (0.1%)

rewrite79.0ms (0.5%)

series188.0ms (1.2%)

simplify54.0ms (0.3%)

prune125.0ms (0.8%)

regimes3.0s (18.8%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample7.3s (46.3%)

Profiling