Details

analyze860.0ms (6.5%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4999	132
1	4999	132
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	2
49.9%	49.9%	0.1%	3
49.9%	49.9%	0.1%	3
49.9%	49.9%	0.1%	4
49.9%	49.9%	0.1%	4
49.9%	49.9%	0.1%	5
49.9%	49.9%	0.1%	5
74.9%	25%	0.1%	6
74.9%	25%	0.1%	6
74.9%	25%	0.1%	7
74.9%	25%	0.1%	7
74.9%	25%	0.1%	8
74.9%	25%	0.1%	8
87.4%	12.5%	0.1%	9
87.4%	12.5%	0.1%	9
87.4%	12.5%	0.1%	10
87.4%	12.5%	0.1%	10
87.4%	12.5%	0.1%	11
87.4%	12.5%	0.1%	11
93.6%	6.2%	0.1%	12
93.6%	6.2%	0.1%	12
93.6%	6.2%	0.1%	13
93.6%	6.2%	0.1%	13
93.6%	6.2%	0.1%	14
93.6%	6.2%	0.1%	14

Compiler

Compiled 48 to 42 computations (12.5% saved)

sample379.0ms (2.9%)

Algorithm

2×

intervals

Results

47.0ms	60×	body	4096	valid
36.0ms	359×	body	128	valid
30.0ms	53×	body	2048	valid
10.0ms	23×	body	1024	valid
3.0ms	10×	body	512	valid
1.0ms	7×	body	256	valid

Compiler

Compiled 6215 to 6212 computations (0% saved)

simplify76.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4970	33
1	4970	33

prune5.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

30.2b

Counts

2 → 1

Compiler

Compiled 42 to 34 computations (19% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (*.f64 B B)))) B)) PI.f64)
0.0b	(pow.f64 (-.f64 A C) 2)
0.3b	(-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (*.f64 B B))))
33.4b	(sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (*.f64 B B)))

rewrite225.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

30.1b

Rules

25×	`add-sqr-sqrt_binary64_4533` `*-un-lft-identity_binary64_4511`
18×	`add-cube-cbrt_binary64_4546`
9×	`add-log-exp_binary64_4550` `cancel-sign-sub-inv_binary64_4477` `times-frac_binary64_4517`
7×	`add-exp-log_binary64_4549` `sqrt-prod_binary64_4527`
6×	`pow1_binary64_4572` `add-cbrt-cube_binary64_4547` `sqrt-div_binary64_4528`
5×	`unpow-prod-down_binary64_4590`
4×	`frac-sub_binary64_4520` `distribute-lft-out--_binary64_4463` `associate--l+_binary64_4448`
3×	`flip3-+_binary64_4514` `flip-+_binary64_4485` `diff-log_binary64_4603` `flip3--_binary64_4515` `flip--_binary64_4486` `difference-of-squares_binary64_4480` `pow-unpow_binary64_4588` `associate-/l_binary64_4456` `associate-/r_binary64_4455`
2×	`sub-neg_binary64_4504`
1×	`pow1/2_binary64_4591` `sqrt-pow1_binary64_4529` `rem-sqrt-square_binary64_4524` `associate--l-_binary64_4449` `pow-pow_binary64_4583` `pow-to-exp_binary64_4580` `pow-exp_binary64_4579` `unpow2_binary64_4576` `sqr-pow_binary64_4483` `div-exp_binary64_4562` `cbrt-undiv_binary64_4545` `frac-2neg_binary64_4522` `clear-num_binary64_4510` `div-inv_binary64_4508`

Counts

4 → 93

Calls

4 calls:

16.0ms	(-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (*.f64 B B))))
8.0ms	(sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (*.f64 B B)))
5.0ms	(pow.f64 (-.f64 A C) 2)
5.0ms	(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (*.f64 B B)))) B)) PI.f64)

Compiler

Compiled 3294 to 1614 computations (51% saved)

series1.5s (11.2%)

Error

6.5b

Counts

4 → 79

Calls

4 calls:

487.0ms	(-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (*.f64 B B))))
453.0ms	(sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (*.f64 B B)))
290.0ms	(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (*.f64 B B)))) B)) PI.f64)
99.0ms	(pow.f64 (-.f64 A C) 2)

Compiler

Compiled 6103 to 4627 computations (24.2% saved)

simplify93.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5017	5062

prune285.0ms (2.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	163	9	172
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	164	9	173

Error

6.5b

Counts

173 → 9

Compiler

Compiled 5329 to 2518 computations (52.7% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(atan.f64 (/.f64 (-.f64 (-.f64 C A) B) B))
0.0b	(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) B) B)) PI.f64))
0.0b	(/.f64 (-.f64 (-.f64 C A) B) B)
0.0b	(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) B) B)) PI.f64)

rewrite159.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

6.5b

Rules

51×	`*-un-lft-identity_binary64_4511`
44×	`add-sqr-sqrt_binary64_4533`
37×	`times-frac_binary64_4517`
31×	`add-cube-cbrt_binary64_4546`
13×	`add-exp-log_binary64_4549` `add-cbrt-cube_binary64_4547` `associate-r_binary64_4451`
12×	`distribute-lft-out--_binary64_4463`
9×	`associate-/l*_binary64_4456`
6×	`pow1_binary64_4572` `associate-/r*_binary64_4455`
4×	`add-log-exp_binary64_4550` `difference-of-squares_binary64_4480`
3×	`div-exp_binary64_4562` `cbrt-undiv_binary64_4545` `div-inv_binary64_4508` `associate-l_binary64_4452`
2×	`frac-2neg_binary64_4522` `clear-num_binary64_4510` `associate-/l/_binary64_4458` `prod-exp_binary64_4560` `cbrt-unprod_binary64_4544` `unswap-sqr_binary64_4479`
1×	`div-sub_binary64_4516` `flip3--_binary64_4515` `flip--_binary64_4486` `pow-prod-down_binary64_4582` `associate-r/_binary64_4453` `-commutative_binary64_4442`

Counts

4 → 108

Calls

4 calls:

10.0ms	(/.f64 (-.f64 (-.f64 C A) B) B)
9.0ms	(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) B) B)) PI.f64))
7.0ms	(atan.f64 (/.f64 (-.f64 (-.f64 C A) B) B))
5.0ms	(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) B) B)) PI.f64)

Compiler

Compiled 2381 to 647 computations (72.8% saved)

series662.0ms (5%)

Error

6.5b

Counts

4 → 45

Calls

4 calls:

215.0ms	(/.f64 (-.f64 (-.f64 C A) B) B)
202.0ms	(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) B) B)) PI.f64))
152.0ms	(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) B) B)) PI.f64)
59.0ms	(atan.f64 (/.f64 (-.f64 (-.f64 C A) B) B))

Compiler

Compiled 1528 to 1119 computations (26.8% saved)

simplify78.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5276	2827

prune156.0ms (1.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	150	3	153
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	152	10	162

Error

6.5b

Counts

162 → 10

Compiler

Compiled 2892 to 886 computations (69.4% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(atan.f64 (/.f64 (-.f64 C (+.f64 A B)) B))
0.0b	(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A B)) B)) 180)
0.0b	(/.f64 (-.f64 C (+.f64 A B)) B)
0.0b	(/.f64 (*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A B)) B)) 180) PI.f64)

rewrite124.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

6.5b

Rules

39×	`*-un-lft-identity_binary64_4511`
29×	`add-sqr-sqrt_binary64_4533`
21×	`times-frac_binary64_4517`
19×	`add-cube-cbrt_binary64_4546`
13×	`add-exp-log_binary64_4549` `add-cbrt-cube_binary64_4547`
8×	`distribute-lft-out--_binary64_4463`
7×	`associate-/l*_binary64_4456`
6×	`pow1_binary64_4572` `associate-/r*_binary64_4455`
4×	`add-log-exp_binary64_4550` `difference-of-squares_binary64_4480` `distribute-lft-out_binary64_4462`
3×	`div-exp_binary64_4562` `cbrt-undiv_binary64_4545` `associate-l_binary64_4452` `associate-r_binary64_4451`
2×	`prod-exp_binary64_4560` `cbrt-unprod_binary64_4544` `frac-2neg_binary64_4522` `clear-num_binary64_4510` `div-inv_binary64_4508` `associate-/l/_binary64_4458`
1×	`div-sub_binary64_4516` `flip3--_binary64_4515` `flip--_binary64_4486` `pow-prod-down_binary64_4582` `unswap-sqr_binary64_4479` `*-commutative_binary64_4442`

Counts

4 → 88

Calls

4 calls:

9.0ms	(atan.f64 (/.f64 (-.f64 C (+.f64 A B)) B))
8.0ms	(/.f64 (-.f64 C (+.f64 A B)) B)
4.0ms	(/.f64 (*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A B)) B)) 180) PI.f64)
4.0ms	(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A B)) B)) 180)

Compiler

Compiled 1809 to 603 computations (66.7% saved)

series637.0ms (4.8%)

Error

6.5b

Counts

4 → 45

Calls

4 calls:

219.0ms	(/.f64 (*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A B)) B)) 180) PI.f64)
209.0ms	(/.f64 (-.f64 C (+.f64 A B)) B)
122.0ms	(*.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A B)) B)) 180)
55.0ms	(atan.f64 (/.f64 (-.f64 C (+.f64 A B)) B))

Compiler

Compiled 1528 to 1136 computations (25.7% saved)

simplify72.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5008	2172

prune122.0ms (0.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	132	1	133
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	133	10	143

Error

6.5b

Counts

143 → 10

Compiler

Compiled 2304 to 825 computations (64.2% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(atan.f64 (/.f64 (-.f64 C (+.f64 A B)) B))
0.0b	(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A B)) B)) (/.f64 PI.f64 180))
0.0b	(/.f64 (-.f64 C (+.f64 A B)) B)

rewrite158.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

6.5b

Rules

93×	`times-frac_binary64_4517`
76×	`*-un-lft-identity_binary64_4511`
64×	`add-sqr-sqrt_binary64_4533`
56×	`add-cube-cbrt_binary64_4546`
16×	`associate-/r*_binary64_4455`
10×	`add-exp-log_binary64_4549` `add-cbrt-cube_binary64_4547`
9×	`associate-/l*_binary64_4456`
8×	`distribute-lft-out--_binary64_4463`
6×	`div-inv_binary64_4508`
4×	`div-exp_binary64_4562` `cbrt-undiv_binary64_4545` `difference-of-squares_binary64_4480` `distribute-lft-out_binary64_4462`
3×	`pow1_binary64_4572` `add-log-exp_binary64_4550`
2×	`frac-2neg_binary64_4522` `clear-num_binary64_4510` `associate-/l/_binary64_4458`
1×	`div-sub_binary64_4516` `flip3--_binary64_4515` `flip--_binary64_4486` `associate-/r/_binary64_4457`

Counts

3 → 119

Calls

3 calls:

9.0ms	(/.f64 (-.f64 C (+.f64 A B)) B)
6.0ms	(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A B)) B)) (/.f64 PI.f64 180))
6.0ms	(atan.f64 (/.f64 (-.f64 C (+.f64 A B)) B))

Compiler

Compiled 2868 to 959 computations (66.6% saved)

series530.0ms (4%)

Error

6.5b

Counts

3 → 36

Calls

3 calls:

226.0ms	(/.f64 (atan.f64 (/.f64 (-.f64 C (+.f64 A B)) B)) (/.f64 PI.f64 180))
224.0ms	(/.f64 (-.f64 C (+.f64 A B)) B)
55.0ms	(atan.f64 (/.f64 (-.f64 C (+.f64 A B)) B))

Compiler

Compiled 1198 to 904 computations (24.5% saved)

simplify89.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4976	3756
1	4976	3756

prune176.0ms (1.3%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	155	0	155
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	155	10	165

Error

6.5b

Counts

165 → 10

Compiler

Compiled 3053 to 1521 computations (50.2% saved)

regimes2.1s (15.8%)

Accuracy

Total 12.3b remaining (65.7%)

Threshold costs 0b (0%)

Compiler

Compiled 18989 to 14242 computations (25% saved)

bsearch7.0ms (0.1%)

Compiler: Compiled 18 to 15 computations (16.7% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	96	124
1	96	124

end0.0ms (0%)

sample4.7s (35.7%)

Algorithm

1×

intervals

Results

718.0ms	884×	body	4096	valid
555.0ms	5365×	body	128	valid
514.0ms	883×	body	2048	valid
217.0ms	480×	body	1024	valid
78.0ms	246×	body	512	valid
30.0ms	142×	body	256	valid

Compiler

Compiled 2753 to 2056 computations (25.3% saved)

Details

analyze860.0ms (6.5%)

sample379.0ms (2.9%)

simplify76.0ms (0.6%)

prune5.0ms (0%)

localize16.0ms (0.1%)

rewrite225.0ms (1.7%)

series1.5s (11.2%)

simplify93.0ms (0.7%)

prune285.0ms (2.2%)

localize10.0ms (0.1%)

rewrite159.0ms (1.2%)

series662.0ms (5%)

simplify78.0ms (0.6%)

prune156.0ms (1.2%)

localize9.0ms (0.1%)

rewrite124.0ms (0.9%)

series637.0ms (4.8%)

simplify72.0ms (0.5%)

prune122.0ms (0.9%)

localize12.0ms (0.1%)

rewrite158.0ms (1.2%)

series530.0ms (4%)

simplify89.0ms (0.7%)

prune176.0ms (1.3%)

regimes2.1s (15.8%)

bsearch7.0ms (0.1%)

simplify4.0ms (0%)

end0.0ms (0%)

sample4.7s (35.7%)

Profiling