Details

analyze1.3s (7.3%)

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)

sample139.0ms (0.8%)

Algorithm

1×

intervals

Results

29.0ms	47×	body	1024	valid
23.0ms	46×	body	1024	invalid
19.0ms	164×	body	128	valid
12.0ms	13×	body	2048	valid
11.0ms	3×	body	4096	valid
7.0ms	20×	body	512	invalid
7.0ms	20×	body	512	valid
6.0ms	49×	body	128	invalid
4.0ms	15×	body	256	invalid
2.0ms	9×	body	256	valid

Compiler

Compiled 47 to 46 computations (2.1% saved)

simplify56.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (51.0ms)

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

32.7b

Counts

2 → 1

Compiler

Compiled 46 to 40 computations (13% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.6b	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
10.8b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
24.2b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
24.5b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite187.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

32.0b

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:

19.0ms	(.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)

series664.0ms (3.8%)

Error

30.3b

Counts

4 → 42

Calls

4 calls:

435.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
100.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
31.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
30.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 2972 to 2435 computations (18.1% saved)

simplify91.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4943	2121
1	4943	2121

prune201.0ms (1.1%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	93	20	113
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	94	20	114

Error

30.2b

Counts

114 → 20

Compiler

Compiled 3684 to 2393 computations (35% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.6b	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
10.8b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
24.2b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
24.2b	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))

rewrite163.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

30.2b

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 PI.f64 (/.f64 angle 180))))
9.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
4.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
2.0ms	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))

Compiler

Compiled 2305 to 1658 computations (28.1% saved)

series689.0ms (3.9%)

Error

30.1b

Counts

4 → 42

Calls

4 calls:

451.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
107.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
34.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
30.0ms	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))

Compiler

Compiled 2972 to 2369 computations (20.3% saved)

simplify86.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4942	2121
1	4942	2121

prune185.0ms (1.1%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	101	12	113
Fresh	10	9	19
Picked	1	0	1
Done	0	0	0
Total	112	21	133

Error

30.1b

Counts

133 → 21

Compiler

Compiled 3703 to 2294 computations (38.1% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.6b	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
10.8b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 1/180 (.f64 angle PI.f64))))
24.2b	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))
24.3b	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))

rewrite160.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

30.1b

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)

series666.0ms (3.8%)

Error

30.1b

Counts

4 → 42

Calls

4 calls:

446.0ms	(.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))
33.0ms	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))
32.0ms	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))

Compiler

Compiled 2972 to 2329 computations (21.6% saved)

simplify71.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4981	2121
1	4981	2121

prune382.0ms (2.2%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	105	8	113
Fresh	4	16	20
Picked	1	0	1
Done	0	0	0
Total	110	24	134

Error

30.1b

Counts

134 → 24

Compiler

Compiled 3806 to 2255 computations (40.8% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.6b	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
10.8b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 1/180 (.f64 angle PI.f64))))
24.2b	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))
24.3b	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))

rewrite168.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

30.1b

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 2518 to 1783 computations (29.2% saved)

series673.0ms (3.8%)

Error

30.1b

Counts

4 → 42

Calls

4 calls:

435.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (.f64 1/180 (.f64 angle PI.f64))))
106.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
33.0ms	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))
28.0ms	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))

Compiler

Compiled 3278 to 2635 computations (19.6% saved)

simplify73.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4981	2121
1	4981	2121

prune170.0ms (1%)

Pruning

27 alts after pruning (27 fresh and 0 done)

	Pruned	Kept	Total
New	105	8	113
Fresh	4	19	23
Picked	1	0	1
Done	0	0	0
Total	110	27	137

Error

30.1b

Counts

137 → 27

Compiler

Compiled 3439 to 2054 computations (40.3% saved)

regimes3.6s (20.4%)

Accuracy

Total 2.2b remaining (7.2%)

Threshold costs 0b (0%)

Compiler

Compiled 49624 to 41298 computations (16.8% 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%)

sample7.8s (44.4%)

Algorithm

1×

intervals

Results

777.0ms	1469×	body	1024	valid
626.0ms	1238×	body	1024	invalid
597.0ms	5181×	body	128	valid
266.0ms	728×	body	512	valid
244.0ms	66×	body	4096	valid
233.0ms	652×	body	512	invalid
175.0ms	184×	body	2048	valid
160.0ms	1244×	body	128	invalid
99.0ms	371×	body	256	valid
71.0ms	304×	body	256	invalid
9.0ms	1×	body	8192	valid

Compiler

Compiled 4668 to 3877 computations (16.9% saved)

Details

analyze1.3s (7.3%)

sample139.0ms (0.8%)

simplify56.0ms (0.3%)

prune3.0ms (0%)

localize15.0ms (0.1%)

rewrite187.0ms (1.1%)

series664.0ms (3.8%)

simplify91.0ms (0.5%)

prune201.0ms (1.1%)

localize18.0ms (0.1%)

rewrite163.0ms (0.9%)

series689.0ms (3.9%)

simplify86.0ms (0.5%)

prune185.0ms (1.1%)

localize15.0ms (0.1%)

rewrite160.0ms (0.9%)

series666.0ms (3.8%)

simplify71.0ms (0.4%)

prune382.0ms (2.2%)

localize17.0ms (0.1%)

rewrite168.0ms (1%)

series673.0ms (3.8%)

simplify73.0ms (0.4%)

prune170.0ms (1%)

regimes3.6s (20.4%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample7.8s (44.4%)

Profiling