Details

analyze1.6s (9.2%)

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)

sample173.0ms (1%)

Algorithm

1×

intervals

Results

37.0ms	56×	body	1024	valid
29.0ms	41×	body	1024	invalid
26.0ms	173×	body	128	valid
15.0ms	2×	body	4096	valid
11.0ms	14×	body	512	valid
10.0ms	21×	body	512	invalid
9.0ms	53×	body	128	invalid
6.0ms	15×	body	256	invalid
5.0ms	5×	body	2048	valid
2.0ms	6×	body	256	valid

Compiler

Compiled 47 to 46 computations (2.1% saved)

simplify61.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4912	37
1	4912	37

prune7.0ms (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

31.1b

Counts

2 → 1

Compiler

Compiled 46 to 40 computations (13% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.0b	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
11.4b	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
21.9b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
22.1b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite213.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

30.9b

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))))
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)

series840.0ms (4.9%)

Error

29.4b

Counts

4 → 40

Calls

4 calls:

487.0ms	(.f64 (.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
164.0ms	(-.f64 (pow.f64 b 2) (pow.f64 a 2))
55.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
53.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 2670 to 2201 computations (17.6% saved)

simplify124.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (101.0ms)

Iter	Nodes	Cost
0	4933	1877
1	4933	1877

prune207.0ms (1.2%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	92	19	111
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	93	19	112

Error

29.3b

Counts

112 → 19

Compiler

Compiled 3514 to 2282 computations (35.1% saved)

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

21.9b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
21.9b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
21.9b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
22.1b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite85.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

29.3b

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

series279.0ms (1.6%)

Error

29.1b

Counts

4 → 24

Calls

4 calls:

62.0ms	(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)))
36.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 2592 to 2105 computations (18.8% saved)

simplify56.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5143	895

prune179.0ms (1%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	45	7	52
Fresh	2	16	18
Picked	1	0	1
Done	0	0	0
Total	48	23	71

Error

29.1b

Counts

71 → 23

Compiler

Compiled 3189 to 2449 computations (23.2% saved)

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

21.9b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
21.9b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
22.1b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
22.2b	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))

rewrite99.0ms (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 1/180 (.f64 angle PI.f64)))
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)))

Compiler

Compiled 1316 to 968 computations (26.4% saved)

series238.0ms (1.4%)

Error

29.1b

Counts

4 → 24

Calls

4 calls:

44.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
42.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
41.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
35.0ms	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))

Compiler

Compiled 2592 to 2071 computations (20.1% saved)

simplify83.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5156	895

prune214.0ms (1.2%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	46	6	52
Fresh	3	19	22
Picked	1	0	1
Done	0	0	0
Total	50	25	75

Error

29.1b

Counts

75 → 25

Compiler

Compiled 3288 to 2483 computations (24.5% saved)

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

21.9b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
21.9b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
22.1b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
22.2b	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))

rewrite109.0ms (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 1/180 (.f64 angle PI.f64)))
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)))

Compiler

Compiled 1792 to 1332 computations (25.7% saved)

series272.0ms (1.6%)

Error

29.0b

Counts

4 → 24

Calls

4 calls:

48.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
46.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
46.0ms	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))
45.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 3544 to 2799 computations (21% saved)

simplify68.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5156	895

prune457.0ms (2.6%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	46	6	52
Fresh	5	19	24
Picked	1	0	1
Done	0	0	0
Total	52	25	77

Error

29.0b

Counts

77 → 25

Compiler

Compiled 3282 to 2430 computations (26% saved)

regimes3.2s (18.3%)

Accuracy

Total 2.5b remaining (8.1%)

Threshold costs 0b (0%)

Compiler

Compiled 39010 to 32828 computations (15.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	127
1	51	127

end0.0ms (0%)

sample8.6s (50%)

Algorithm

1×

intervals

Results

962.0ms	1478×	body	1024	valid
795.0ms	1263×	body	1024	invalid
756.0ms	5118×	body	128	valid
383.0ms	818×	body	512	valid
353.0ms	75×	body	4096	valid
293.0ms	646×	body	512	invalid
198.0ms	1297×	body	128	invalid
196.0ms	162×	body	2048	valid
117.0ms	349×	body	256	valid
98.0ms	333×	body	256	invalid

Compiler

Compiled 3606 to 3029 computations (16% saved)

Details

analyze1.6s (9.2%)

sample173.0ms (1%)

simplify61.0ms (0.4%)

prune7.0ms (0%)

localize15.0ms (0.1%)

rewrite213.0ms (1.2%)

series840.0ms (4.9%)

simplify124.0ms (0.7%)

prune207.0ms (1.2%)

localize31.0ms (0.2%)

rewrite85.0ms (0.5%)

series279.0ms (1.6%)

simplify56.0ms (0.3%)

prune179.0ms (1%)

localize32.0ms (0.2%)

rewrite99.0ms (0.6%)

series238.0ms (1.4%)

simplify83.0ms (0.5%)

prune214.0ms (1.2%)

localize31.0ms (0.2%)

rewrite109.0ms (0.6%)

series272.0ms (1.6%)

simplify68.0ms (0.4%)

prune457.0ms (2.6%)

regimes3.2s (18.3%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample8.6s (50%)

Profiling