Details

analyze475.0ms (2.8%)

Algorithm

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

Compiler

Compiled 24 to 21 computations (12.5% saved)

sample88.0ms (0.5%)

Algorithm

1×

intervals

Results

31.0ms	35×	body	4096	valid
20.0ms	182×	body	128	valid
15.0ms	20×	body	2048	valid
6.0ms	12×	body	1024	valid
1.0ms	5×	body	512	valid
0.0ms	2×	body	256	valid

Compiler

Compiled 47 to 44 computations (6.4% saved)

simplify93.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4970	33
1	4970	33

prune7.0ms (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

29.6b

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)
0.5b	(-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (*.f64 B B))))
37.0b	(sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (*.f64 B B)))

rewrite273.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

29.5b

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:

20.0ms	(-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (*.f64 B B))))
16.0ms	(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (*.f64 B B)))) B)) PI.f64)
10.0ms	(pow.f64 (-.f64 A C) 2)
7.0ms	(sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (*.f64 B B)))

Compiler

Compiled 3294 to 1614 computations (51% saved)

series1.2s (7.4%)

Error

6.1b

Counts

4 → 74

Calls

4 calls:

428.0ms	(sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (*.f64 B B)))
404.0ms	(-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (*.f64 B B))))
215.0ms	(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (*.f64 B B)))) B)) PI.f64)
33.0ms	(pow.f64 (-.f64 A C) 2)

Compiler

Compiled 6033 to 4599 computations (23.8% saved)

simplify78.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5081	5063

prune317.0ms (1.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	155	12	167
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	156	12	168

Error

6.0b

Counts

168 → 12

Compiler

Compiled 5360 to 2545 computations (52.5% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (-.f64 A C) 2)
0.0b	(/.f64 1 (/.f64 PI.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2)))) B))))
0.5b	(-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2))))
37.0b	(sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2)))

rewrite363.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

6.0b

Rules

75×	`times-frac_binary64_4517`
59×	`add-sqr-sqrt_binary64_4533` `*-un-lft-identity_binary64_4511`
52×	`add-cube-cbrt_binary64_4546`
16×	`add-exp-log_binary64_4549`
13×	`associate-/r*_binary64_4455`
9×	`add-log-exp_binary64_4550` `add-cbrt-cube_binary64_4547` `cancel-sign-sub-inv_binary64_4477`
7×	`pow1_binary64_4572` `sqrt-prod_binary64_4527` `div-exp_binary64_4562`
6×	`sqrt-div_binary64_4528`
5×	`div-inv_binary64_4508` `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` `cbrt-undiv_binary64_4545` `associate-/l*_binary64_4456` `pow-unpow_binary64_4588`
2×	`sub-neg_binary64_4504` `1-exp_binary64_4555` `rec-exp_binary64_4561`
1×	`pow1/2_binary64_4591` `sqrt-pow1_binary64_4529` `rem-sqrt-square_binary64_4524` `associate--l-_binary64_4449` `inv-pow_binary64_4596` `pow-flip_binary64_4585` `frac-2neg_binary64_4522` `clear-num_binary64_4510` `associate-/r/_binary64_4457` `pow-pow_binary64_4583` `pow-to-exp_binary64_4580` `pow-exp_binary64_4579` `unpow2_binary64_4576` `sqr-pow_binary64_4483`

Counts

4 → 142

Calls

4 calls:

26.0ms	(-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2))))
13.0ms	(pow.f64 (-.f64 A C) 2)
12.0ms	(/.f64 1 (/.f64 PI.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2)))) B))))
9.0ms	(sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2)))

Compiler

Compiled 5729 to 3042 computations (46.9% saved)

series1.3s (7.6%)

Error

6.0b

Counts

4 → 74

Calls

4 calls:

477.0ms	(-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2))))
426.0ms	(sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2)))
217.0ms	(/.f64 1 (/.f64 PI.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2)))) B))))
34.0ms	(pow.f64 (-.f64 A C) 2)

Compiler

Compiled 6327 to 4893 computations (22.7% saved)

simplify124.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

216 → 216

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5177	7712

prune390.0ms (2.3%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	214	2	216
Fresh	2	9	11
Picked	0	1	1
Done	0	0	0
Total	216	12	228

Error

6.0b

Counts

228 → 12

Compiler

Compiled 7651 to 3857 computations (49.6% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite139.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

6.0b

Rules

50×	`*-un-lft-identity_binary64_4511`
35×	`add-sqr-sqrt_binary64_4533`
34×	`times-frac_binary64_4517`
30×	`add-cube-cbrt_binary64_4546`
13×	`add-exp-log_binary64_4549` `add-cbrt-cube_binary64_4547` `associate-r_binary64_4451`
8×	`associate-/l*_binary64_4456` `distribute-lft-out_binary64_4462`
6×	`pow1_binary64_4572` `associate-/r*_binary64_4455`
4×	`add-log-exp_binary64_4550` `distribute-lft-out--_binary64_4463`
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` `prod-exp_binary64_4560` `cbrt-unprod_binary64_4544` `unswap-sqr_binary64_4479` `associate-/l/_binary64_4458`
1×	`pow-prod-down_binary64_4582` `associate-r/_binary64_4453` `-commutative_binary64_4442` `associate-+r-_binary64_4445` `div-sub_binary64_4516` `flip3-+_binary64_4514` `flip-+_binary64_4485`

Counts

4 → 104

Calls

4 calls:

9.0ms	(/.f64 (+.f64 B (-.f64 C A)) B)
8.0ms	(*.f64 180 (/.f64 (atan.f64 (/.f64 (+.f64 B (-.f64 C A)) B)) PI.f64))
6.0ms	(atan.f64 (/.f64 (+.f64 B (-.f64 C A)) B))
5.0ms	(/.f64 (atan.f64 (/.f64 (+.f64 B (-.f64 C A)) B)) PI.f64)

Compiler

Compiled 2280 to 617 computations (72.9% saved)

series726.0ms (4.3%)

Error

6.0b

Counts

4 → 45

Calls

4 calls:

337.0ms	(/.f64 (atan.f64 (/.f64 (+.f64 B (-.f64 C A)) B)) PI.f64)
175.0ms	(*.f64 180 (/.f64 (atan.f64 (/.f64 (+.f64 B (-.f64 C A)) B)) PI.f64))
144.0ms	(/.f64 (+.f64 B (-.f64 C A)) B)
43.0ms	(atan.f64 (/.f64 (+.f64 B (-.f64 C A)) B))

Compiler

Compiled 1506 to 1089 computations (27.7% saved)

simplify81.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5203	2724

prune163.0ms (1%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	146	3	149
Fresh	1	9	10
Picked	1	0	1
Done	0	1	1
Total	148	13	161

Error

6.0b

Counts

161 → 13

Compiler

Compiled 2895 to 910 computations (68.6% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite169.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

6.0b

Rules

50×	`*-un-lft-identity_binary64_4511`
43×	`add-sqr-sqrt_binary64_4533`
37×	`times-frac_binary64_4517`
30×	`add-cube-cbrt_binary64_4546`
13×	`associate-r_binary64_4451`
12×	`add-exp-log_binary64_4549` `add-cbrt-cube_binary64_4547` `distribute-lft-out--_binary64_4463`
9×	`associate-/l*_binary64_4456`
6×	`associate-/r*_binary64_4455`
5×	`pow1_binary64_4572`
4×	`difference-of-squares_binary64_4480`
3×	`div-exp_binary64_4562` `add-log-exp_binary64_4550` `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

3 → 101

Calls

3 calls:

14.0ms	(/.f64 (-.f64 (-.f64 C A) B) B)
9.0ms	(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) B) B)) PI.f64))
5.0ms	(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) B) B)) PI.f64)

Compiler

Compiled 2238 to 616 computations (72.5% saved)

series473.0ms (2.8%)

Error

6.0b

Counts

3 → 36

Calls

3 calls:

172.0ms	(/.f64 (-.f64 (-.f64 C A) B) B)
160.0ms	(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) B) B)) PI.f64))
106.0ms	(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) B) B)) PI.f64)

Compiler

Compiled 1198 to 895 computations (25.3% saved)

simplify90.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5275	2604

prune142.0ms (0.8%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	134	3	137
Fresh	1	10	11
Picked	1	0	1
Done	0	1	1
Total	136	14	150

Error

6.0b

Counts

150 → 14

Compiler

Compiled 2449 to 1109 computations (54.7% saved)

regimes3.3s (19.4%)

Accuracy

Total 12.5b remaining (66.4%)

Threshold costs 0b (0%)

Compiler

Compiled 27525 to 19878 computations (27.8% saved)

bsearch8.0ms (0%)

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

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	95	169
1	95	169

end0.0ms (0%)

sample6.8s (40.3%)

Algorithm

1×

intervals

Results

888.0ms	904×	body	4096	valid
678.0ms	5331×	body	128	valid
645.0ms	888×	body	2048	valid
292.0ms	521×	body	1024	valid
84.0ms	219×	body	512	valid
40.0ms	137×	body	256	valid

Compiler

Compiled 3998 to 2861 computations (28.4% saved)

Details

analyze475.0ms (2.8%)

sample88.0ms (0.5%)

simplify93.0ms (0.6%)

prune7.0ms (0%)

localize16.0ms (0.1%)

rewrite273.0ms (1.6%)

series1.2s (7.4%)

simplify78.0ms (0.5%)

prune317.0ms (1.9%)

localize20.0ms (0.1%)

rewrite363.0ms (2.1%)

series1.3s (7.6%)

simplify124.0ms (0.7%)

prune390.0ms (2.3%)

localize17.0ms (0.1%)

rewrite139.0ms (0.8%)

series726.0ms (4.3%)

simplify81.0ms (0.5%)

prune163.0ms (1%)

localize12.0ms (0.1%)

rewrite169.0ms (1%)

series473.0ms (2.8%)

simplify90.0ms (0.5%)

prune142.0ms (0.8%)

regimes3.3s (19.4%)

bsearch8.0ms (0%)

simplify7.0ms (0%)

end0.0ms (0%)

sample6.8s (40.3%)

Profiling