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

Symmetry

Compiler

Compiled 24 to 22 computations (8.3% saved)

sample128.0ms (0.8%)

Algorithm

1×

intervals

Results

23.0ms	173×	body	128	valid
22.0ms	44×	body	1024	invalid
22.0ms	43×	body	1024	valid
16.0ms	4×	body	4096	valid
11.0ms	29×	body	512	valid
8.0ms	21×	body	512	invalid
4.0ms	34×	body	128	invalid
2.0ms	6×	body	256	valid
1.0ms	6×	body	256	invalid
1.0ms	1×	body	2048	valid

Compiler

Compiled 47 to 46 computations (2.1% saved)

simplify56.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (51.0ms)

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

31.3b

Counts

2 → 1

Compiler

Compiled 46 to 40 computations (13% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
10.5b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
22.6b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
22.7b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite178.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

31.2b

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:

18.0ms	(.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	(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)

series695.0ms (4.6%)

Error

29.3b

Counts

4 → 42

Calls

4 calls:

458.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
99.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
35.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
31.0ms	(cos.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

prune197.0ms (1.3%)

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

29.2b

Counts

114 → 18

Compiler

Compiled 3649 to 2360 computations (35.3% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
10.5b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
22.6b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
22.7b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite168.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

29.2b

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:

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))
4.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
2.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 2447 to 1875 computations (23.4% saved)

series699.0ms (4.6%)

Error

29.2b

Counts

4 → 42

Calls

4 calls:

452.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
110.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
36.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
30.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 3176 to 2639 computations (16.9% saved)

simplify87.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4943	2121
1	4943	2121

prune207.0ms (1.4%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	105	8	113
Fresh	4	13	17
Picked	1	0	1
Done	0	0	0
Total	110	21	131

Error

29.2b

Counts

131 → 21

Compiler

Compiled 3962 to 2663 computations (32.8% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

22.6b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
22.6b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
22.6b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
22.7b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite75.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

29.2b

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

series202.0ms (1.3%)

Error

29.1b

Counts

4 → 24

Calls

4 calls:

41.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
35.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
35.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
34.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 2592 to 2105 computations (18.8% saved)

simplify55.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5143	895

prune161.0ms (1.1%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	45	7	52
Fresh	3	17	20
Picked	1	0	1
Done	0	0	0
Total	49	24	73

Error

29.1b

Counts

73 → 24

Compiler

Compiled 3225 to 2477 computations (23.2% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

22.6b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
22.6b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
22.6b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
22.7b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite98.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

29.1b

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

Compiler

Compiled 1792 to 1364 computations (23.9% saved)

series241.0ms (1.6%)

Error

28.9b

Counts

4 → 24

Calls

4 calls:

44.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
42.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
42.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
40.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 3544 to 2833 computations (20.1% saved)

simplify56.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5143	895

prune166.0ms (1.1%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	46	6	52
Fresh	4	19	23
Picked	1	0	1
Done	0	0	0
Total	51	25	76

Error

28.9b

Counts

76 → 25

Compiler

Compiled 3282 to 2479 computations (24.5% saved)

regimes2.8s (18.7%)

Accuracy

Total 2.5b remaining (7.9%)

Threshold costs 0b (0%)

Compiler

Compiled 39092 to 33020 computations (15.5% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	37
1	31	37

Removed

()

end0.0ms (0%)

sample7.3s (48.5%)

Algorithm

1×

intervals

Results

805.0ms	1495×	body	1024	valid
641.0ms	5161×	body	128	valid
639.0ms	1248×	body	1024	invalid
316.0ms	87×	body	4096	valid
281.0ms	707×	body	512	valid
243.0ms	661×	body	512	invalid
168.0ms	175×	body	2048	valid
161.0ms	1240×	body	128	invalid
101.0ms	375×	body	256	valid
81.0ms	318×	body	256	invalid

Compiler

Compiled 3945 to 3334 computations (15.5% saved)

Details

analyze1.3s (8.7%)

sample128.0ms (0.8%)

simplify56.0ms (0.4%)

prune4.0ms (0%)

localize15.0ms (0.1%)

rewrite178.0ms (1.2%)

series695.0ms (4.6%)

simplify89.0ms (0.6%)

prune197.0ms (1.3%)

localize18.0ms (0.1%)

rewrite168.0ms (1.1%)

series699.0ms (4.6%)

simplify87.0ms (0.6%)

prune207.0ms (1.4%)

localize20.0ms (0.1%)

rewrite75.0ms (0.5%)

series202.0ms (1.3%)

simplify55.0ms (0.4%)

prune161.0ms (1.1%)

localize27.0ms (0.2%)

rewrite98.0ms (0.6%)

series241.0ms (1.6%)

simplify56.0ms (0.4%)

prune166.0ms (1.1%)

regimes2.8s (18.7%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample7.3s (48.5%)

Profiling