Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

331×

body

valid

simplify137.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	29	4
2	65	4
3	128	4
4	174	4
5	189	4
6	206	4
7	255	4
8	350	4
9	625	4
10	1352	4
11	1953	4
12	2733	4
13	3707	4
14	5002	4

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 0.4b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) 6.0)
0.0b	(+ x (* (* (- y x) 6.0) z))
0.5b	(* (* (- y x) 6.0) z)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
8×	`*-un-lft-identity`
6×	`add-cube-cbrt` `associate-r` `associate-l` `associate-*l/`
5×	`add-log-exp`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3--` `*-commutative` `flip--`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 53

Calls

3 calls:

7.0ms	(* (- y x) 6.0)
3.0ms	(+ x (* (* (- y x) 6.0) z))
8.0ms	(* (* (- y x) 6.0) z)

series121.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(* (- y x) 6.0)
43.0ms	(+ x (* (* (- y x) 6.0) z))
43.0ms	(* (* (- y x) 6.0) z)

simplify38.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	246	290
1	1073	249
2	5001	249

prune101.0ms

Filtered

62 candidates to 40 candidates (64.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	58	4	62
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	58	5	63

Merged error: 0.0b

Counts

63 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (* 6.0 z)))
0.2b	(* (- y x) (* 6.0 z))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `-un-lft-identity` `associate-l*`
4×	`add-log-exp`
3×	`add-cube-cbrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-*l/`
1×	`+-commutative` `flip3--` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip--` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 33

Calls

2 calls:

3.0ms	(+ x (* (- y x) (* 6.0 z)))
7.0ms	(* (- y x) (* 6.0 z))

series96.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(+ x (* (- y x) (* 6.0 z)))
41.0ms	(* (- y x) (* 6.0 z))

simplify106.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	206	210
1	717	179
2	3878	179
3	5003	179

prune60.0ms

Filtered

39 candidates to 24 candidates (61.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	38	1	39
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	38	6	44

Merged error: 0.0b

Counts

44 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (- y x)) (cbrt (- y x)))
0.6b	(cbrt (- y x))
0.6b	(cbrt (- y x))
0.6b	(cbrt (- y x))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
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 → 101

Calls

4 calls:

10.0ms	(* (cbrt (- y x)) (cbrt (- y x)))
3.0ms	(cbrt (- y x))
3.0ms	(cbrt (- y x))
3.0ms	(cbrt (- y x))

series568.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(* (cbrt (- y x)) (cbrt (- y x)))
149.0ms	(cbrt (- y x))
150.0ms	(cbrt (- y x))
144.0ms	(cbrt (- y x))

simplify153.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 3 (143.0ms)

Iter	Nodes	Cost
0	261	760
1	914	723
2	4493	670
3	5001	660

prune321.0ms

Filtered

113 candidates to 81 candidates (71.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	113	6	119

Merged error: 0.0b

Counts

119 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(* (* (- y x) 6.0) (* (cbrt z) (cbrt z)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log`
12×	`add-cbrt-cube`
9×	`cbrt-prod`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`associate-*l/` `add-log-exp`
3×	`pow1/3`
1×	`flip3--` `associate-r` `associate-l` `*-commutative` `flip--`

Counts

4 → 57

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
5.0ms	(cbrt z)
11.0ms	(* (* (- y x) 6.0) (* (cbrt z) (cbrt z)))

series688.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(cbrt z)
178.0ms	(cbrt z)
180.0ms	(cbrt z)
155.0ms	(* (* (- y x) 6.0) (* (cbrt z) (cbrt z)))

simplify42.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	243	353
1	967	271
2	5001	252

prune135.0ms

Filtered

69 candidates to 51 candidates (73.9%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	69	6	75

Merged error: 0.0b

Counts

75 → 6

regimes270.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4

end0.0ms

sample441.0ms

Algorithm

intervals

Results

233.0ms

10094×

body

valid