Details

analyze34.0ms

Algorithm

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
25%	74.9%	0.1%	4
37.5%	62.4%	0.1%	5
62.4%	37.5%	0.1%	6
87.4%	12.5%	0.1%	7
87.4%	12.5%	0.1%	8
93.7%	6.2%	0.1%	9
93.7%	6.2%	0.1%	10
96.8%	3.1%	0.1%	11
96.8%	3.1%	0.1%	12
98.3%	1.6%	0.1%	13
98.3%	1.6%	0.1%	14

sample16.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify76.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	782	10
1	782	10

prune5.0ms

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

Merged error: 0.0b

Counts

2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (+.f64 x y) (-.f64 x y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64_5068`
22×	`add-sqr-sqrt_binary64_5053`
20×	`times-frac_binary64_5063`
12×	`add-cube-cbrt_binary64_5039`
6×	`distribute-lft-out_binary64_5112`
5×	`associate-/r*_binary64_5131` `distribute-lft-out--_binary64_5113` `difference-of-squares_binary64_5097`
4×	`associate-/l*_binary64_5132`
3×	`add-cbrt-cube_binary64_5040` `add-exp-log_binary64_5032`
2×	`associate-/l/_binary64_5134` `associate-/r/_binary64_5133`
1×	`cbrt-undiv_binary64_5038` `flip3-+_binary64_5066` `frac-2neg_binary64_5061` `flip-+_binary64_5093` `add-log-exp_binary64_5033` `clear-num_binary64_5071` `pow1_binary64_5014` `flip3--_binary64_5067` `flip--_binary64_5094` `div-exp_binary64_5021` `div-inv_binary64_5069`

Counts

1 → 45

Calls

1 calls:

8.0ms

(/.f64 (+.f64 x y) (-.f64 x y))

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

(/.f64 (+.f64 x y) (-.f64 x y))

simplify89.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4989	802
1	4989	802

prune124.0ms

Filtered

32 candidates to 48 candidates (-50.0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	45	3	48
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	3	49

Merged error: 0.0b

Counts

49 → 3

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(log.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
0.0b	(exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
0.0b	(/.f64 (+.f64 x y) (-.f64 x y))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

93×	`*-un-lft-identity_binary64_5068`
61×	`add-sqr-sqrt_binary64_5053`
60×	`times-frac_binary64_5063`
52×	`exp-prod_binary64_5022`
35×	`add-cube-cbrt_binary64_5039`
27×	`log-pow_binary64_4989`
16×	`distribute-lft-out_binary64_5112`
13×	`distribute-lft-out--_binary64_5113` `difference-of-squares_binary64_5097`
6×	`associate-/r/_binary64_5133`
5×	`add-cbrt-cube_binary64_5040` `associate-/r*_binary64_5131` `add-exp-log_binary64_5032`
4×	`associate-/l*_binary64_5132` `add-log-exp_binary64_5033` `pow1_binary64_5014`
3×	`log-prod_binary64_4986` `flip3--_binary64_5067` `flip--_binary64_5094` `div-inv_binary64_5069`
2×	`associate-/l/_binary64_5134`
1×	`cbrt-undiv_binary64_5038` `rem-log-exp_binary64_5031` `flip3-+_binary64_5066` `frac-2neg_binary64_5061` `flip-+_binary64_5093` `clear-num_binary64_5071` `rem-exp-log_binary64_5030` `div-exp_binary64_5021`

Counts

3 → 117

Calls

3 calls:

13.0ms	(log.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
10.0ms	(exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
14.0ms	(/.f64 (+.f64 x y) (-.f64 x y))

series156.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(log.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
69.0ms	(exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
45.0ms	(/.f64 (+.f64 x y) (-.f64 x y))

simplify96.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	5441	1790

prune478.0ms

Filtered

83 candidates to 126 candidates (-51.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	125	1	126
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	126	3	129

Merged error: 0.0b

Counts

129 → 3

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (/.f64 (-.f64 x y) (+.f64 x y)))
0.0b	(/.f64 (-.f64 x y) (+.f64 x y))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

178×	`times-frac_binary64_5063`
174×	`*-un-lft-identity_binary64_5068`
122×	`add-sqr-sqrt_binary64_5053`
80×	`add-cube-cbrt_binary64_5039`
30×	`associate-/r*_binary64_5131`
26×	`distribute-lft-out_binary64_5112`
21×	`distribute-lft-out--_binary64_5113` `difference-of-squares_binary64_5097`
12×	`add-exp-log_binary64_5032`
11×	`associate-/r/_binary64_5133`
9×	`add-cbrt-cube_binary64_5040`
8×	`associate-/l*_binary64_5132`
6×	`div-inv_binary64_5069`
5×	`flip3-+_binary64_5066` `flip-+_binary64_5093` `div-exp_binary64_5021`
4×	`cbrt-undiv_binary64_5038`
3×	`pow1_binary64_5014`
2×	`associate-/l/_binary64_5134` `frac-2neg_binary64_5061` `add-log-exp_binary64_5033` `clear-num_binary64_5071` `rec-exp_binary64_5020`
1×	`div-sub_binary64_5062` `pow-flip_binary64_4998` `flip3--_binary64_5067` `inv-pow_binary64_4990` `flip--_binary64_5094`

Counts

2 → 172

Calls

2 calls:

11.0ms	(/.f64 1 (/.f64 (-.f64 x y) (+.f64 x y)))
8.0ms	(/.f64 (-.f64 x y) (+.f64 x y))

series82.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(/.f64 1 (/.f64 (-.f64 x y) (+.f64 x y)))
38.0ms	(/.f64 (-.f64 x y) (+.f64 x y))

simplify118.0ms

Algorithm

egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	5119	3682

prune317.0ms

Filtered

95 candidates to 178 candidates (-87.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	178	0	178
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	178	3	181

Merged error: 0.0b

Counts

181 → 3

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (-.f64 x y))
0.1b	(*.f64 (/.f64 1 (-.f64 x y)) (+.f64 x y))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt_binary64_5053`
39×	`*-un-lft-identity_binary64_5068`
32×	`times-frac_binary64_5063`
22×	`add-cube-cbrt_binary64_5039`
21×	`associate-l_binary64_5128`
12×	`add-exp-log_binary64_5032`
9×	`add-cbrt-cube_binary64_5040`
7×	`distribute-lft-out--_binary64_5113` `difference-of-squares_binary64_5097`
5×	`associate-/r*_binary64_5131` `pow1_binary64_5014`
4×	`associate-r_binary64_5127` `associate-/r/_binary64_5133`
3×	`associate-/l*_binary64_5132` `prod-exp_binary64_5019` `unswap-sqr_binary64_5096`
2×	`cbrt-undiv_binary64_5038` `flip3-+_binary64_5066` `flip-+_binary64_5093` `add-log-exp_binary64_5033` `rec-exp_binary64_5020` `flip3--_binary64_5067` `frac-times_binary64_5060` `associate-*r/_binary64_5129` `flip--_binary64_5094` `cbrt-unprod_binary64_5037` `div-exp_binary64_5021` `div-inv_binary64_5069`
1×	`pow-prod-down_binary64_4995` `associate-l/_binary64_5130` `distribute-lft-in_binary64_5110` `frac-2neg_binary64_5061` `distribute-lft-out_binary64_5112` `clear-num_binary64_5071` `pow-flip_binary64_4998` `inv-pow_binary64_4990` `distribute-rgt-in_binary64_5111` `-commutative_binary64_5136`

Counts

2 → 89

Calls

2 calls:

7.0ms	(/.f64 1 (-.f64 x y))
19.0ms	(*.f64 (/.f64 1 (-.f64 x y)) (+.f64 x y))

series60.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(/.f64 1 (-.f64 x y))
39.0ms	(*.f64 (/.f64 1 (-.f64 x y)) (+.f64 x y))

simplify99.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	5200	1182

prune207.0ms

Filtered

61 candidates to 95 candidates (-55.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	95	3	98

Merged error: 0.0b

Counts

98 → 3

regimes177.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	13
1	19	13

end0.0ms

sample362.0ms

Algorithm

intervals

Results

190.0ms

8000×

body

valid

Details

analyze34.0ms

sample16.0ms

simplify76.0ms

prune5.0ms

localize7.0ms

rewrite9.0ms

series44.0ms

simplify89.0ms

prune124.0ms

localize13.0ms

rewrite43.0ms

series156.0ms

simplify96.0ms

prune478.0ms

localize9.0ms

rewrite36.0ms

series82.0ms

simplify118.0ms

prune317.0ms

localize9.0ms

rewrite29.0ms

series60.0ms

simplify99.0ms

prune207.0ms

regimes177.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample362.0ms

Profiling