Details

analyze139.0ms

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

sample14.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	6×	body	80	invalid

simplify48.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	1002	7
1	1002	7

prune3.0ms

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	(/ (- x y) (- z y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`times-frac`
13×	`add-cube-cbrt`
12×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/r` `associate-/l`
3×	`add-exp-log` `add-cbrt-cube`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`pow1` `cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `div-inv` `add-log-exp`

Counts

1 → 52

Calls

1 calls:

8.0ms

(/ (- x y) (- z y))

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

(/ (- x y) (- z y))

simplify52.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4867	651
1	4867	651

prune52.0ms

Filtered

37 candidates to 55 candidates (-48.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	52	3	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	52	4	56

Merged error: 0.0b

Counts

56 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (- z y))
0.2b	(* (- x y) (/ 1 (- z y)))

rewrite211.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
32×	`times-frac`
22×	`add-cube-cbrt`
21×	`associate-r`
15×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-l` `associate-/r*`
4×	`flip3--` `div-exp` `prod-exp` `associate-/r/` `flip--`
3×	`associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `associate-*l/` `cbrt-unprod` `div-inv` `add-log-exp`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `inv-pow`

Counts

2 → 91

Calls

2 calls:

5.0ms	(/ 1 (- z y))
202.0ms	(* (- x y) (/ 1 (- z y)))

series14.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(/ 1 (- z y))
10.0ms	(* (- x y) (/ 1 (- z y)))

simplify42.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5302	808

prune77.0ms

Filtered

57 candidates to 97 candidates (-70.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	2	0	2
Picked	0	1	1
Done	0	1	1
Total	98	3	101

Merged error: 0b

Counts

101 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ 1 (- z y))) (cbrt (/ 1 (- z y))))
0.6b	(cbrt (/ 1 (- z y)))
0.6b	(cbrt (/ 1 (- z y)))
0.6b	(cbrt (/ 1 (- z y)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

187×	`cbrt-prod`
157×	`add-sqr-sqrt`
145×	`*-un-lft-identity`
133×	`times-frac`
75×	`add-cube-cbrt`
32×	`swap-sqr`
27×	`distribute-lft-out--`
24×	`associate-r` `associate-l`
21×	`difference-of-squares`
16×	`unswap-sqr`
14×	`associate-/r/`
11×	`pow1`
9×	`pow1/3` `div-inv`
7×	`cbrt-div` `flip3--` `flip--`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 207

Calls

4 calls:

22.0ms	(* (cbrt (/ 1 (- z y))) (cbrt (/ 1 (- z y))))
5.0ms	(cbrt (/ 1 (- z y)))
5.0ms	(cbrt (/ 1 (- z y)))
7.0ms	(cbrt (/ 1 (- z y)))

series120.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (cbrt (/ 1 (- z y))) (cbrt (/ 1 (- z y))))
28.0ms	(cbrt (/ 1 (- z y)))
31.0ms	(cbrt (/ 1 (- z y)))
28.0ms	(cbrt (/ 1 (- z y)))

simplify76.0ms

Algorithm

egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4851	2849
1	4851	2849

prune249.0ms

Filtered

114 candidates to 219 candidates (-92.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	219	0	219
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	219	3	222

Merged error: 0b

Counts

222 → 3

regimes170.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	7
1	18	7

end0.0ms

sample351.0ms

Algorithm

intervals

Results

186.0ms	8000×	body	80	valid
5.0ms	238×	body	80	invalid

Details

analyze139.0ms

sample14.0ms

simplify48.0ms

prune3.0ms

localize5.0ms

rewrite10.0ms

series9.0ms

simplify52.0ms

prune52.0ms

localize6.0ms

rewrite211.0ms

series14.0ms

simplify42.0ms

prune77.0ms

localize11.0ms

rewrite51.0ms

series120.0ms

simplify76.0ms

prune249.0ms

regimes170.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample351.0ms

Profiling