Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

307×

body

valid

simplify135.0ms

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

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (* (- y x) 6.0) z))
0.0b	(* (- y x) 6.0)
0.8b	(* (* (- y x) 6.0) z)

rewrite30.0ms

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:

2.0ms	(+ x (* (* (- y x) 6.0) z))
10.0ms	(* (- y x) 6.0)
15.0ms	(* (* (- y x) 6.0) z)

series115.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(+ x (* (* (- y x) 6.0) z))
29.0ms	(* (- y x) 6.0)
40.0ms	(* (* (- y x) 6.0) z)

simplify41.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 1 (8.0ms)

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

prune114.0ms

Filtered

62 candidates to 40 candidates (64.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

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))

rewrite17.0ms

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)))
14.0ms	(* (- y x) (* 6.0 z))

series82.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(+ x (* (- y x) (* 6.0 z)))
39.0ms	(* (- y x) (* 6.0 z))

simplify104.0ms

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

prune72.0ms

Filtered

39 candidates to 24 candidates (61.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- y x))
0.5b	(cbrt (- y x))
0.5b	(cbrt (- y x))
0.5b	(* (cbrt (- y x)) (cbrt (- y x)))

rewrite31.0ms

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:

2.0ms	(cbrt (- y x))
2.0ms	(cbrt (- y x))
2.0ms	(cbrt (- y x))
21.0ms	(* (cbrt (- y x)) (cbrt (- y x)))

series572.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(cbrt (- y x))
147.0ms	(cbrt (- y x))
149.0ms	(cbrt (- y x))
128.0ms	(* (cbrt (- y x)) (cbrt (- y x)))

simplify155.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 3 (146.0ms)

Iter	Nodes	Cost
0	261	760
1	921	723
2	4499	670
3	5001	660

prune300.0ms

Filtered

113 candidates to 81 candidates (71.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- y x)) (cbrt (- y x)))
0.5b	(* (cbrt (- y x)) (cbrt (- y x)))
0.5b	(cbrt (* (cbrt (- y x)) (cbrt (- y x))))
0.6b	(cbrt (cbrt (- y x)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

70×	`cbrt-prod`
56×	`add-sqr-sqrt`
52×	`*-un-lft-identity`
48×	`cbrt-div`
22×	`add-cube-cbrt`
20×	`swap-sqr`
19×	`flip3--` `flip--`
18×	`pow1`
16×	`associate-r` `associate-l`
14×	`pow1/3`
13×	`distribute-lft-out--`
12×	`frac-times`
9×	`difference-of-squares`
8×	`add-exp-log` `unswap-sqr`
6×	`associate-r/` `associate-l/`
4×	`pow-prod-down` `pow-sqr` `pow-prod-up` `add-cbrt-cube` `add-log-exp`
2×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 147

Calls

4 calls:

21.0ms	(* (cbrt (- y x)) (cbrt (- y x)))
23.0ms	(* (cbrt (- y x)) (cbrt (- y x)))
7.0ms	(cbrt (* (cbrt (- y x)) (cbrt (- y x))))
3.0ms	(cbrt (cbrt (- y x)))

series516.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(* (cbrt (- y x)) (cbrt (- y x)))
123.0ms	(* (cbrt (- y x)) (cbrt (- y x)))
122.0ms	(cbrt (* (cbrt (- y x)) (cbrt (- y x))))
148.0ms	(cbrt (cbrt (- y x)))

simplify50.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	349	1259
1	1144	1209
2	5002	1108

prune462.0ms

Filtered

159 candidates to 106 candidates (66.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes110.0ms

Accuracy

0% (0.2b 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

sample473.0ms

Algorithm

intervals

Results

264.0ms

10175×

body

valid