Details

analyze696.0ms

Algorithm

sampling

Space saved by range analysis: 0.146413%

Space saved by search: 15.986224%

Guaranteed chance to sample good point: 84.628219%

sample19.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	28×	body	80	invalid

simplify85.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 7 (33.0ms)

Iter	Nodes	Cost
0	22	6
1	46	6
2	111	6
3	237	6
4	405	6
5	595	6
6	919	6
7	2627	5
8	5001	5

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 0.75 (/ (- x z) y))
0.0b	(/ (- x z) y)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 51

Calls

2 calls:

8.0ms	(+ 0.75 (/ (- x z) y))
6.0ms	(/ (- x z) y)

series15.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(+ 0.75 (/ (- x z) y))
9.0ms	(/ (- x z) y)

simplify54.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	225	276
1	650	261
2	2609	261
3	5002	261

prune59.0ms

Filtered

40 candidates to 57 candidates (-42.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	55	2	57
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	55	3	58

Merged error: 0b

Counts

58 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 0.75 (- (/ x y) (/ z y)))
0.0b	(- (/ x y) (/ z y))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
10×	`times-frac`
9×	`add-log-exp`
5×	`distribute-lft-out--`
4×	`add-cube-cbrt` `difference-of-squares`
2×	`pow1` `add-exp-log` `sub-neg` `associate-+r+` `diff-log` `sum-log` `add-cbrt-cube` `div-inv` `distribute-lft-out`
1×	`+-commutative` `associate-+r-` `flip3--` `distribute-rgt-out--` `flip3-+` `frac-sub` `flip--` `flip-+` `sub-div`

Counts

2 → 40

Calls

2 calls:

15.0ms	(+ 0.75 (- (/ x y) (/ z y)))
12.0ms	(- (/ x y) (/ z y))

series11.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(+ 0.75 (- (/ x y) (/ z y)))
6.0ms	(- (/ x y) (/ z y))

simplify41.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	185	259
1	494	249
2	1837	249
3	5002	249

prune47.0ms

Filtered

33 candidates to 46 candidates (-39.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Merged error: 0b

Counts

49 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (+ 0.75 (/ (- x z) y))) (cbrt (+ 0.75 (/ (- x z) y))))
0.7b	(cbrt (+ 0.75 (/ (- x z) y)))
0.7b	(cbrt (+ 0.75 (/ (- x z) y)))
0.7b	(cbrt (+ 0.75 (/ (- x z) y)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

20.0ms	(* (cbrt (+ 0.75 (/ (- x z) y))) (cbrt (+ 0.75 (/ (- x z) y))))
8.0ms	(cbrt (+ 0.75 (/ (- x z) y)))
8.0ms	(cbrt (+ 0.75 (/ (- x z) y)))
10.0ms	(cbrt (+ 0.75 (/ (- x z) y)))

series183.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* (cbrt (+ 0.75 (/ (- x z) y))) (cbrt (+ 0.75 (/ (- x z) y))))
40.0ms	(cbrt (+ 0.75 (/ (- x z) y)))
40.0ms	(cbrt (+ 0.75 (/ (- x z) y)))
43.0ms	(cbrt (+ 0.75 (/ (- x z) y)))

simplify73.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 3 (62.0ms)

Iter	Nodes	Cost
0	229	1077
1	721	1012
2	2915	909
3	5001	886

prune187.0ms

Filtered

75 candidates to 107 candidates (-42.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	107	3	110

Merged error: 0b

Counts

110 → 3

regimes134.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	14	5
1	14	5

end0.0ms

analyze701.0ms

Algorithm

sampling

Space saved by range analysis: 0.146413%

Space saved by search: 15.986224%

Guaranteed chance to sample good point: 84.628219%

sample497.0ms

Algorithm

intervals

Results

298.0ms	8000×	body	80	valid
18.0ms	509×	body	80	invalid

Details

analyze696.0ms

sample19.0ms

simplify85.0ms

prune7.0ms

localize7.0ms

rewrite16.0ms

series15.0ms

simplify54.0ms

prune59.0ms

localize8.0ms

rewrite29.0ms

series11.0ms

simplify41.0ms

prune47.0ms

localize11.0ms

rewrite50.0ms

series183.0ms

simplify73.0ms

prune187.0ms

regimes134.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze701.0ms

sample497.0ms

Profiling