Details

analyze2.2s (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)

sample199.0ms (0.8%)

Algorithm

1×

intervals

Results

47.0ms	55×	body	1024	valid
35.0ms	35×	body	1024	invalid
28.0ms	150×	body	128	valid
17.0ms	29×	body	512	valid
12.0ms	2×	body	4096	valid
9.0ms	17×	body	512	invalid
9.0ms	4×	body	2048	valid
8.0ms	41×	body	128	invalid
7.0ms	16×	body	256	valid
2.0ms	5×	body	256	invalid

Compiler

Compiled 47 to 46 computations (2.1% saved)

simplify65.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4912	37
1	4912	37

prune6.0ms (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

32.1b

Counts

2 → 1

Compiler

Compiled 46 to 40 computations (13% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.7b	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
7.5b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
27.6b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
27.6b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite267.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

31.9b

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))))
12.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
2.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
2.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 2305 to 1733 computations (24.8% saved)

series932.0ms (4%)

Error

30.1b

Counts

4 → 39

Calls

4 calls:

605.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
131.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
50.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
39.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 2762 to 2274 computations (17.7% saved)

simplify127.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4926	1862
1	4926	1862

prune282.0ms (1.2%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	89	21	110
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	90	21	111

Error

30.0b

Counts

111 → 21

Compiler

Compiled 3549 to 2300 computations (35.2% saved)

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.7b	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
7.5b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
27.6b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
27.6b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite252.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

30.0b

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))
3.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
3.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 2518 to 1946 computations (22.7% saved)

series1.0s (4.3%)

Error

30.0b

Counts

4 → 39

Calls

4 calls:

670.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
183.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
65.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
32.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 3059 to 2571 computations (16% saved)

simplify88.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4926	1862
1	4926	1862

prune317.0ms (1.4%)

Pruning

27 alts after pruning (27 fresh and 0 done)

	Pruned	Kept	Total
New	100	10	110
Fresh	3	17	20
Picked	1	0	1
Done	0	0	0
Total	104	27	131

Error

30.0b

Counts

131 → 27

Compiler

Compiled 4078 to 2807 computations (31.2% saved)

localize40.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.7b	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
7.5b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
27.6b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
27.6b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite281.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

30.0b

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:

29.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
19.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
3.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
3.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 2660 to 2088 computations (21.5% saved)

series1.2s (4.9%)

Error

30.0b

Counts

4 → 39

Calls

4 calls:

723.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
203.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
61.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
55.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 3257 to 2769 computations (15% saved)

simplify103.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4926	1862
1	4926	1862

prune302.0ms (1.3%)

Pruning

31 alts after pruning (31 fresh and 0 done)

	Pruned	Kept	Total
New	102	8	110
Fresh	3	23	26
Picked	1	0	1
Done	0	0	0
Total	106	31	137

Error

30.0b

Counts

137 → 31

Compiler

Compiled 4453 to 3150 computations (29.3% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

27.6b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
27.6b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
27.6b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
27.6b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite108.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

30.0b

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 PI.f64 (/.f64 angle 180)))
3.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
3.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
3.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 1316 to 1000 computations (24% saved)

series222.0ms (0.9%)

Error

29.9b

Counts

4 → 20

Calls

4 calls:

56.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
40.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
39.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
35.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 2328 to 1900 computations (18.4% saved)

simplify93.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	5135	686

prune137.0ms (0.6%)

Pruning

33 alts after pruning (33 fresh and 0 done)

	Pruned	Kept	Total
New	40	8	48
Fresh	5	25	30
Picked	1	0	1
Done	0	0	0
Total	46	33	79

Error

29.9b

Counts

79 → 33

Compiler

Compiled 2130 to 1598 computations (25% saved)

regimes3.9s (16.8%)

Accuracy

Total 2.4b remaining (7.8%)

Threshold costs 0b (0%)

Compiler

Compiled 39832 to 34140 computations (14.3% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	42
1	34	42

end0.0ms (0%)

sample11.2s (47.8%)

Algorithm

1×

intervals

Results

1.2s	1500×	body	1024	valid
947.0ms	1227×	body	1024	invalid
929.0ms	5117×	body	128	valid
460.0ms	84×	body	4096	valid
422.0ms	749×	body	512	valid
337.0ms	620×	body	512	invalid
252.0ms	184×	body	2048	valid
230.0ms	1283×	body	128	invalid
141.0ms	366×	body	256	valid
105.0ms	285×	body	256	invalid

Compiler

Compiled 4022 to 3449 computations (14.2% saved)

Details

analyze2.2s (9.5%)

sample199.0ms (0.8%)

simplify65.0ms (0.3%)

prune6.0ms (0%)

localize22.0ms (0.1%)

rewrite267.0ms (1.1%)

series932.0ms (4%)

simplify127.0ms (0.5%)

prune282.0ms (1.2%)

localize28.0ms (0.1%)

rewrite252.0ms (1.1%)

series1.0s (4.3%)

simplify88.0ms (0.4%)

prune317.0ms (1.4%)

localize40.0ms (0.2%)

rewrite281.0ms (1.2%)

series1.2s (4.9%)

simplify103.0ms (0.4%)

prune302.0ms (1.3%)

localize20.0ms (0.1%)

rewrite108.0ms (0.5%)

series222.0ms (0.9%)

simplify93.0ms (0.4%)

prune137.0ms (0.6%)

regimes3.9s (16.8%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample11.2s (47.8%)

Profiling