Details

analyze230.0ms (2.3%)

Algorithm

1×

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)

sample71.0ms (0.7%)

Algorithm

1×

intervals

Results

22.0ms	31×	body	4096	valid
17.0ms	177×	body	128	valid
9.0ms	22×	body	1024	valid
9.0ms	16×	body	2048	valid
2.0ms	8×	body	512	valid
0.0ms	2×	body	256	valid

Compiler

Compiled 47 to 44 computations (6.4% saved)

simplify173.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4970	33
1	4970	33

prune5.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

30.0b

Counts

2 → 2

Compiler

Compiled 65 to 54 computations (16.9% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (*.f64 B B)))) B)
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)
0.7b	(-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (*.f64 B B))))
34.0b	(sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (*.f64 B B)))

rewrite75.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

53×	`*-un-lft-identity_binary64_5193`
49×	`add-sqr-sqrt_binary64_5215`
30×	`times-frac_binary64_5199`
28×	`add-cube-cbrt_binary64_5228`
15×	`distribute-lft-out--_binary64_5145`
11×	`sqrt-prod_binary64_5209`
10×	`sqrt-div_binary64_5210` `associate-/l*_binary64_5138` `difference-of-squares_binary64_5162`
9×	`add-log-exp_binary64_5232` `cancel-sign-sub-inv_binary64_5159`
8×	`add-cbrt-cube_binary64_5229` `add-exp-log_binary64_5231` `frac-sub_binary64_5202`
6×	`flip3--_binary64_5197` `flip--_binary64_5168` `associate-/l/_binary64_5140` `associate-/r*_binary64_5137`
5×	`flip-+_binary64_5167` `flip3-+_binary64_5196` `pow1_binary64_5254`
4×	`associate--l+_binary64_5130`
3×	`diff-log_binary64_5285`
2×	`sub-neg_binary64_5186` `div-inv_binary64_5190` `cbrt-undiv_binary64_5227` `clear-num_binary64_5192` `div-exp_binary64_5244` `frac-2neg_binary64_5204`
1×	`associate--l-_binary64_5131` `pow1/2_binary64_5273` `div-sub_binary64_5198` `sqrt-pow1_binary64_5211` `rem-sqrt-square_binary64_5206`

Counts

4 → 123

Calls

4 calls:

24.0ms	(/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (*.f64 B B)))) B)
19.0ms	(-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (*.f64 B B))))
10.0ms	(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (*.f64 B B)))) B)) PI.f64)
8.0ms	(sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (*.f64 B B)))

series1.3s (13.1%)

Counts

4 → 87

Calls

4 calls:

441.0ms	(/.f64 (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (*.f64 B B)))) B)
344.0ms	(-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (*.f64 B B))))
341.0ms	(sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (*.f64 B B)))
200.0ms	(/.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 4632 to 3821 computations (17.5% saved)

simplify109.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

210 → 210

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5078	7393

prune350.0ms (3.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	203	7	210
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	205	7	212

Error

0.4b

Counts

212 → 7

Compiler

Compiled 7021 to 3337 computations (52.5% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

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)

rewrite29.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`*-un-lft-identity_binary64_5193`
34×	`times-frac_binary64_5199` `add-sqr-sqrt_binary64_5215`
29×	`add-cube-cbrt_binary64_5228`
13×	`associate-r_binary64_5133`
12×	`add-cbrt-cube_binary64_5229` `add-exp-log_binary64_5231`
8×	`associate-/l*_binary64_5138` `distribute-lft-out_binary64_5144`
6×	`associate-/r*_binary64_5137`
5×	`pow1_binary64_5254`
4×	`distribute-lft-out--_binary64_5145`
3×	`associate-l_binary64_5134` `add-log-exp_binary64_5232` `div-inv_binary64_5190` `cbrt-undiv_binary64_5227` `div-exp_binary64_5244`
2×	`clear-num_binary64_5192` `associate-/l/_binary64_5140` `prod-exp_binary64_5242` `unswap-sqr_binary64_5161` `cbrt-unprod_binary64_5226` `frac-2neg_binary64_5204`
1×	`pow-prod-down_binary64_5264` `flip-+_binary64_5167` `div-sub_binary64_5198` `-commutative_binary64_5124` `flip3-+_binary64_5196` `associate-+r-_binary64_5127` `associate-r/_binary64_5135`

Counts

3 → 97

Calls

3 calls:

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

series406.0ms (4%)

Counts

3 → 36

Calls

3 calls:

154.0ms	(*.f64 180 (/.f64 (atan.f64 (/.f64 (+.f64 B (-.f64 C A)) B)) PI.f64))
147.0ms	(/.f64 (+.f64 B (-.f64 C A)) B)
105.0ms	(/.f64 (atan.f64 (/.f64 (+.f64 B (-.f64 C A)) B)) PI.f64)

Compiler

Compiled 818 to 774 computations (5.4% saved)

simplify75.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5140	2525

prune105.0ms (1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	133	7	140

Error

0.4b

Counts

140 → 7

Compiler

Compiled 2508 to 794 computations (68.3% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite34.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

50×	`*-un-lft-identity_binary64_5193`
43×	`add-sqr-sqrt_binary64_5215`
37×	`times-frac_binary64_5199`
30×	`add-cube-cbrt_binary64_5228`
13×	`associate-r_binary64_5133`
12×	`add-cbrt-cube_binary64_5229` `distribute-lft-out--_binary64_5145` `add-exp-log_binary64_5231`
9×	`associate-/l*_binary64_5138`
6×	`associate-/r*_binary64_5137`
5×	`pow1_binary64_5254`
4×	`difference-of-squares_binary64_5162`
3×	`associate-l_binary64_5134` `add-log-exp_binary64_5232` `div-inv_binary64_5190` `cbrt-undiv_binary64_5227` `div-exp_binary64_5244`
2×	`clear-num_binary64_5192` `associate-/l/_binary64_5140` `prod-exp_binary64_5242` `unswap-sqr_binary64_5161` `cbrt-unprod_binary64_5226` `frac-2neg_binary64_5204`
1×	`flip3--_binary64_5197` `pow-prod-down_binary64_5264` `flip--_binary64_5168` `div-sub_binary64_5198` `-commutative_binary64_5124` `associate-r/_binary64_5135`

Counts

3 → 101

Calls

3 calls:

11.0ms	(/.f64 (-.f64 (-.f64 C A) B) B)
9.0ms	(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) B) B)) PI.f64))
6.0ms	(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) B) B)) PI.f64)

series411.0ms (4.1%)

Counts

3 → 36

Calls

3 calls:

152.0ms	(*.f64 180 (/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) B) B)) PI.f64))
151.0ms	(/.f64 (-.f64 (-.f64 C A) B) B)
107.0ms	(/.f64 (atan.f64 (/.f64 (-.f64 (-.f64 C A) B) B)) PI.f64)

Compiler

Compiled 828 to 784 computations (5.3% saved)

simplify83.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5207	2632

prune109.0ms (1.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	136	1	137
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	137	7	144

Error

0.4b

Counts

144 → 7

Compiler

Compiled 2608 to 828 computations (68.3% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 (-.f64 C A) B) B)
0.0b	(exp.f64 (/.f64 (-.f64 (-.f64 C A) B) B))
0.0b	(/.f64 (atan.f64 (log.f64 (exp.f64 (/.f64 (-.f64 (-.f64 C A) B) B)))) PI.f64)
0.5b	(log.f64 (exp.f64 (/.f64 (-.f64 (-.f64 C A) B) B)))

rewrite51.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

94×	`*-un-lft-identity_binary64_5193`
64×	`add-sqr-sqrt_binary64_5215`
63×	`times-frac_binary64_5199`
44×	`exp-prod_binary64_5245` `add-cube-cbrt_binary64_5228`
30×	`distribute-lft-out--_binary64_5145`
23×	`log-pow_binary64_5282`
10×	`difference-of-squares_binary64_5162`
9×	`associate-/l*_binary64_5138`
8×	`add-cbrt-cube_binary64_5229` `add-exp-log_binary64_5231`
6×	`associate-/r*_binary64_5137`
5×	`add-log-exp_binary64_5232` `pow1_binary64_5254`
4×	`div-inv_binary64_5190`
3×	`log-prod_binary64_5279` `div-sub_binary64_5198`
2×	`cbrt-undiv_binary64_5227` `clear-num_binary64_5192` `div-exp_binary64_5244` `associate-/l/_binary64_5140` `exp-diff_binary64_5241` `frac-2neg_binary64_5204`
1×	`flip3--_binary64_5197` `flip--_binary64_5168` `rem-exp-log_binary64_5233` `rem-log-exp_binary64_5234` `log-div_binary64_5280`

Counts

4 → 135

Calls

4 calls:

12.0ms	(log.f64 (exp.f64 (/.f64 (-.f64 (-.f64 C A) B) B)))
11.0ms	(/.f64 (-.f64 (-.f64 C A) B) B)
10.0ms	(exp.f64 (/.f64 (-.f64 (-.f64 C A) B) B))
6.0ms	(/.f64 (atan.f64 (log.f64 (exp.f64 (/.f64 (-.f64 (-.f64 C A) B) B)))) PI.f64)

series1.1s (10.9%)

Counts

4 → 58

Calls

4 calls:

688.0ms	(log.f64 (exp.f64 (/.f64 (-.f64 (-.f64 C A) B) B)))
151.0ms	(/.f64 (-.f64 (-.f64 C A) B) B)
135.0ms	(exp.f64 (/.f64 (-.f64 (-.f64 C A) B) B))
124.0ms	(/.f64 (atan.f64 (log.f64 (exp.f64 (/.f64 (-.f64 (-.f64 C A) B) B)))) PI.f64)

Compiler

Compiled 1856 to 1666 computations (10.2% saved)

simplify84.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

193 → 193

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4985	3207
1	4985	3207

prune159.0ms (1.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	193	0	193
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	193	7	200

Error

0.4b

Counts

200 → 7

Compiler

Compiled 3787 to 1280 computations (66.2% saved)

regimes1.5s (14.6%)

Accuracy

Total 16.7b remaining (96.5%)

Threshold costs 0b (0%)

Compiler

Compiled 11327 to 8482 computations (25.1% saved)

bsearch4.0ms (0%)

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

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (9.0ms)

Iter	Nodes	Cost
0	331	122
1	331	122

end0.0ms (0%)

sample3.6s (35.5%)

Algorithm

1×

intervals

Results

685.0ms	888×	body	4096	valid
526.0ms	5403×	body	128	valid
490.0ms	835×	body	2048	valid
211.0ms	490×	body	1024	valid
75.0ms	248×	body	512	valid
31.0ms	136×	body	256	valid

Compiler

Compiled 1653 to 1225 computations (25.9% saved)

Details

analyze230.0ms (2.3%)

sample71.0ms (0.7%)

simplify173.0ms (1.7%)

prune5.0ms (0.1%)

localize14.0ms (0.1%)

rewrite75.0ms (0.7%)

series1.3s (13.1%)

simplify109.0ms (1.1%)

prune350.0ms (3.5%)

localize9.0ms (0.1%)

rewrite29.0ms (0.3%)

series406.0ms (4%)

simplify75.0ms (0.7%)

prune105.0ms (1%)

localize9.0ms (0.1%)

rewrite34.0ms (0.3%)

series411.0ms (4.1%)

simplify83.0ms (0.8%)

prune109.0ms (1.1%)

localize14.0ms (0.1%)

rewrite51.0ms (0.5%)

series1.1s (10.9%)

simplify84.0ms (0.8%)

prune159.0ms (1.6%)

regimes1.5s (14.6%)

bsearch4.0ms (0%)

simplify12.0ms (0.1%)

end0.0ms (0%)

sample3.6s (35.5%)

Profiling