Details

analyze36.0ms

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
59.3%	40.6%	0.1%	6
76.5%	23.4%	0.1%	7
82%	18%	0.1%	8
87.8%	12.1%	0.1%	9
90.7%	9.2%	0.1%	10
93.8%	6.1%	0.1%	11
95.3%	4.6%	0.1%	12
96.8%	3.1%	0.1%	13
97.6%	2.3%	0.1%	14

sample11.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify50.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	781	7
1	781	7

prune6.0ms

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

localize5.0ms

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`
22×	`add-sqr-sqrt_binary64`
20×	`times-frac_binary64`
12×	`add-cube-cbrt_binary64`
6×	`distribute-lft-out_binary64`
5×	`difference-of-squares_binary64` `associate-/l*_binary64` `distribute-lft-out--_binary64`
4×	`associate-/r*_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64`
1×	`flip3-+_binary64` `add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `flip-+_binary64`

Counts

1 → 46

Calls

1 calls:

8.0ms

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

series10.0ms

Counts

1 → 3

Calls

1 calls:

10.0ms

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

simplify35.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5063	538

prune42.0ms

Filtered

33 candidates to 49 candidates (-48.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	46	3	49
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	3	50

Merged error: 0b

Counts

50 → 3

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity_binary64`
40×	`times-frac_binary64`
35×	`add-sqr-sqrt_binary64`
23×	`add-cube-cbrt_binary64`
12×	`distribute-lft-out_binary64`
8×	`associate-/r*_binary64` `associate-/r/_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-lft-out--_binary64`
6×	`associate-/l*_binary64`
5×	`add-log-exp_binary64`
4×	`flip3-+_binary64` `difference-of-squares_binary64` `div-inv_binary64` `flip-+_binary64`
3×	`pow1_binary64` `distribute-rgt-out--_binary64`
2×	`cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `sub-div_binary64` `flip--_binary64` `frac-sub_binary64`

Counts

3 → 93

Calls

3 calls:

5.0ms	(/.f64 y (+.f64 x y))
21.0ms	(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
5.0ms	(/.f64 x (+.f64 x y))

series29.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(/.f64 y (+.f64 x y))
16.0ms	(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
6.0ms	(/.f64 x (+.f64 x y))

simplify46.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5553	1018

prune69.0ms

Filtered

74 candidates to 102 candidates (-37.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	101	1	102
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	102	3	105

Merged error: 0b

Counts

105 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (/.f64 y (+.f64 x y)))
0.0b	(-.f64 (/.f64 x (+.f64 x y)) (log.f64 (exp.f64 (/.f64 y (+.f64 x y)))))
0.0b	(/.f64 x (+.f64 x y))
1.8b	(log.f64 (exp.f64 (/.f64 y (+.f64 x y))))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

54×	`*-un-lft-identity_binary64`
37×	`times-frac_binary64`
36×	`add-sqr-sqrt_binary64` `exp-prod_binary64`
31×	`add-cube-cbrt_binary64`
20×	`log-pow_binary64`
10×	`distribute-lft-out_binary64`
6×	`add-log-exp_binary64` `pow1_binary64` `log-prod_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/r/_binary64`
4×	`associate-/r*_binary64`
3×	`flip3-+_binary64` `associate--r+_binary64` `associate-/l*_binary64` `div-inv_binary64` `flip-+_binary64`
2×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64` `flip--_binary64`

Counts

4 → 107

Calls

4 calls:

6.0ms	(exp.f64 (/.f64 y (+.f64 x y)))
29.0ms	(-.f64 (/.f64 x (+.f64 x y)) (log.f64 (exp.f64 (/.f64 y (+.f64 x y)))))
5.0ms	(/.f64 x (+.f64 x y))
7.0ms	(log.f64 (exp.f64 (/.f64 y (+.f64 x y))))

series40.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(exp.f64 (/.f64 y (+.f64 x y)))
14.0ms	(-.f64 (/.f64 x (+.f64 x y)) (log.f64 (exp.f64 (/.f64 y (+.f64 x y)))))
6.0ms	(/.f64 x (+.f64 x y))
7.0ms	(log.f64 (exp.f64 (/.f64 y (+.f64 x y))))

simplify57.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5518	999

prune84.0ms

Filtered

92 candidates to 119 candidates (-29.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	119	3	122

Merged error: 0b

Counts

122 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

178×	`times-frac_binary64`
174×	`*-un-lft-identity_binary64`
122×	`add-sqr-sqrt_binary64`
80×	`add-cube-cbrt_binary64`
31×	`associate-/r*_binary64`
26×	`distribute-lft-out_binary64`
21×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
15×	`add-exp-log_binary64`
11×	`associate-/r/_binary64`
9×	`add-cbrt-cube_binary64`
8×	`div-exp_binary64`
7×	`associate-/l*_binary64`
6×	`div-inv_binary64`
5×	`flip3--_binary64` `flip--_binary64`
4×	`cbrt-undiv_binary64`
3×	`pow1_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `1-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64`
1×	`flip3-+_binary64` `inv-pow_binary64` `pow-flip_binary64` `flip-+_binary64`

Counts

2 → 173

Calls

2 calls:

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

series23.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(/.f64 (+.f64 x y) (-.f64 x y))
13.0ms	(/.f64 1 (/.f64 (+.f64 x y) (-.f64 x y)))

simplify66.0ms

Algorithm

egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5631	2374

prune88.0ms

Filtered

95 candidates to 179 candidates (-88.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	179	0	179
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	179	3	182

Merged error: 0b

Counts

182 → 3

regimes68.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	11
1	24	11

end0.0ms

sample285.0ms

Algorithm

intervals

Results

168.0ms

8000×

body

valid

Details

analyze36.0ms

sample11.0ms

simplify50.0ms

prune6.0ms

localize5.0ms

rewrite9.0ms

series10.0ms

simplify35.0ms

prune42.0ms

localize6.0ms

rewrite34.0ms

series29.0ms

simplify46.0ms

prune69.0ms

localize9.0ms

rewrite50.0ms

series40.0ms

simplify57.0ms

prune84.0ms

localize6.0ms

rewrite28.0ms

series23.0ms

simplify66.0ms

prune88.0ms

regimes68.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample285.0ms

Profiling