Details

analyze145.0ms

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
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
18.7%	81.1%	0.1%	6
40.6%	59.3%	0.1%	7
45.2%	54.6%	0.1%	8
65.5%	34.3%	0.1%	9
78%	21.8%	0.1%	10
80%	19.5%	0.5%	11
81.7%	17.7%	0.5%	12
87.9%	11.3%	0.8%	13
88.3%	10.1%	1.6%	14

sample17.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
0.0ms	7×	body	80	invalid

simplify61.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	1002	7
1	1002	7

prune2.0ms

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 z y))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
25×	`times-frac_binary64`
13×	`add-cube-cbrt_binary64`
12×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
5×	`associate-/r_binary64` `associate-/l_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`associate-/l/_binary64` `flip3--_binary64` `associate-/r/_binary64` `flip--_binary64`
1×	`add-log-exp_binary64` `pow1_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

1 → 52

Calls

1 calls:

8.0ms

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

series10.0ms

Counts

1 → 3

Calls

1 calls:

10.0ms

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

simplify55.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4867	651
1	4867	651

prune33.0ms

Filtered

37 candidates to 55 candidates (-48.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	51	4	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	51	5	56

Merged error: 0.0b

Counts

56 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(/.f64 (-.f64 z y) (-.f64 x y))
0.2b	(/.f64 1 (/.f64 (-.f64 z y) (-.f64 x y)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac_binary64`
194×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
90×	`add-cube-cbrt_binary64`
52×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
36×	`associate-/r*_binary64`
15×	`add-exp-log_binary64`
11×	`associate-/r/_binary64`
9×	`add-cbrt-cube_binary64`
8×	`associate-/l*_binary64` `div-exp_binary64`
6×	`flip3--_binary64` `div-inv_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×	`div-sub_binary64` `inv-pow_binary64` `pow-flip_binary64`

Counts

2 → 200

Calls

2 calls:

8.0ms	(/.f64 (-.f64 z y) (-.f64 x y))
13.0ms	(/.f64 1 (/.f64 (-.f64 z y) (-.f64 x y)))

series33.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(/.f64 (-.f64 z y) (-.f64 x y))
23.0ms	(/.f64 1 (/.f64 (-.f64 z y) (-.f64 x y)))

simplify55.0ms

Algorithm

egg-herbie

Counts

206 → 206

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4996	2916
1	4996	2916

prune66.0ms

Filtered

110 candidates to 206 candidates (-87.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	203	3	206
Fresh	2	1	3
Picked	1	0	1
Done	0	1	1
Total	206	5	211

Merged error: 0b

Counts

211 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (-.f64 z y))
0.0b	(/.f64 1 (-.f64 x y))
0.2b	(/.f64 (/.f64 1 (-.f64 z y)) (/.f64 1 (-.f64 x y)))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

1131×	`times-frac_binary64`
699×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
419×	`add-cube-cbrt_binary64`
140×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
93×	`associate-/r/_binary64`
51×	`add-exp-log_binary64`
47×	`div-inv_binary64`
46×	`flip3--_binary64` `flip--_binary64`
36×	`div-exp_binary64`
31×	`associate-/r*_binary64`
27×	`associate-/l*_binary64`
19×	`add-cbrt-cube_binary64`
10×	`1-exp_binary64` `cbrt-undiv_binary64` `rec-exp_binary64`
5×	`pow1_binary64`
3×	`add-log-exp_binary64` `clear-num_binary64` `frac-2neg_binary64`
2×	`inv-pow_binary64` `pow-flip_binary64`
1×	`associate-/l/_binary64`

Counts

3 → 597

Calls

3 calls:

6.0ms	(/.f64 1 (-.f64 z y))
6.0ms	(/.f64 1 (-.f64 x y))
26.0ms	(/.f64 (/.f64 1 (-.f64 z y)) (/.f64 1 (-.f64 x y)))

series29.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(/.f64 1 (-.f64 z y))
5.0ms	(/.f64 1 (-.f64 x y))
20.0ms	(/.f64 (/.f64 1 (-.f64 z y)) (/.f64 1 (-.f64 x y)))

simplify110.0ms

Algorithm

egg-herbie

Counts

606 → 606

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5009	11340

prune162.0ms

Filtered

233 candidates to 606 candidates (-160.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	606	0	606
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	606	5	611

Merged error: 0b

Counts

611 → 5

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 z (-.f64 x y)) (/.f64 y (-.f64 x y)))
0.0b	(/.f64 z (-.f64 x y))
0.0b	(/.f64 y (-.f64 x y))
0.2b	(/.f64 1 (-.f64 (/.f64 z (-.f64 x y)) (/.f64 y (-.f64 x y))))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

203×	`*-un-lft-identity_binary64`
174×	`times-frac_binary64`
153×	`add-sqr-sqrt_binary64`
68×	`distribute-lft-out--_binary64`
57×	`add-cube-cbrt_binary64`
38×	`difference-of-squares_binary64`
28×	`associate-/r*_binary64` `associate-/r/_binary64`
15×	`distribute-rgt-out--_binary64`
14×	`flip3--_binary64` `flip--_binary64`
13×	`div-inv_binary64`
12×	`add-exp-log_binary64`
10×	`add-cbrt-cube_binary64`
9×	`associate-/l*_binary64`
6×	`add-log-exp_binary64`
5×	`pow1_binary64`
4×	`div-exp_binary64`
3×	`cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64`
2×	`sub-div_binary64` `frac-sub_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `1-exp_binary64` `inv-pow_binary64` `rec-exp_binary64` `pow-flip_binary64`

Counts

4 → 197

Calls

4 calls:

27.0ms	(-.f64 (/.f64 z (-.f64 x y)) (/.f64 y (-.f64 x y)))
6.0ms	(/.f64 z (-.f64 x y))
6.0ms	(/.f64 y (-.f64 x y))
33.0ms	(/.f64 1 (-.f64 (/.f64 z (-.f64 x y)) (/.f64 y (-.f64 x y))))

series52.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(-.f64 (/.f64 z (-.f64 x y)) (/.f64 y (-.f64 x y)))
8.0ms	(/.f64 z (-.f64 x y))
6.0ms	(/.f64 y (-.f64 x y))
23.0ms	(/.f64 1 (-.f64 (/.f64 z (-.f64 x y)) (/.f64 y (-.f64 x y))))

simplify64.0ms

Algorithm

egg-herbie

Counts

209 → 209

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	6007	2747

prune72.0ms

Filtered

138 candidates to 209 candidates (-51.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	209	0	209
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	209	5	214

Merged error: 0b

Counts

214 → 5

regimes139.0ms

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	18	7
1	18	7

end0.0ms

sample363.0ms

Algorithm

intervals

Results

194.0ms	8000×	body	80	valid
6.0ms	254×	body	80	invalid

Details

analyze145.0ms

sample17.0ms

simplify61.0ms

prune2.0ms

localize5.0ms

rewrite11.0ms

series10.0ms

simplify55.0ms

prune33.0ms

localize6.0ms

rewrite33.0ms

series33.0ms

simplify55.0ms

prune66.0ms

localize7.0ms

rewrite90.0ms

series29.0ms

simplify110.0ms

prune162.0ms

localize7.0ms

rewrite82.0ms

series52.0ms

simplify64.0ms

prune72.0ms

regimes139.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample363.0ms

Profiling