Details

sample20.0ms

Algorithm

intervals

Results

10.0ms

335×

body

valid

simplify133.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 0.4b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite28.0ms

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)

series114.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(+ x (* (* (- y x) 6.0) z))
30.0ms	(* (- y x) 6.0)
41.0ms	(* (* (- y x) 6.0) z)

simplify41.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 1 (9.0ms)

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

prune125.0ms

Filtered

62 candidates to 40 candidates (64.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (* 6.0 z)))
0.3b	(* (- y x) (* 6.0 z))

rewrite16.0ms

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)))
13.0ms	(* (- y x) (* 6.0 z))

series82.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(+ x (* (- y x) (* 6.0 z)))
36.0ms	(* (- y x) (* 6.0 z))

simplify108.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 1 (6.0ms)

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

prune75.0ms

Filtered

39 candidates to 24 candidates (61.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (- y x) (* 6.0 z))) (cbrt (* (- y x) (* 6.0 z))))
1.8b	(cbrt (* (- y x) (* 6.0 z)))
1.8b	(cbrt (* (- y x) (* 6.0 z)))
1.8b	(cbrt (* (- y x) (* 6.0 z)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

15.0ms	(* (cbrt (* (- y x) (* 6.0 z))) (cbrt (* (- y x) (* 6.0 z))))
7.0ms	(cbrt (* (- y x) (* 6.0 z)))
6.0ms	(cbrt (* (- y x) (* 6.0 z)))
6.0ms	(cbrt (* (- y x) (* 6.0 z)))

series975.0ms

Counts

4 → 12

Calls

4 calls:

434.0ms	(* (cbrt (* (- y x) (* 6.0 z))) (cbrt (* (- y x) (* 6.0 z))))
179.0ms	(cbrt (* (- y x) (* 6.0 z)))
180.0ms	(cbrt (* (- y x) (* 6.0 z)))
182.0ms	(cbrt (* (- y x) (* 6.0 z)))

simplify50.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	376	839
1	1303	774
2	5002	720

prune271.0ms

Filtered

84 candidates to 67 candidates (79.8%)

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* 6.0 z))
0.6b	(cbrt (- y x))
1.8b	(cbrt (* (- y x) (* 6.0 z)))
1.8b	(cbrt (* (- y x) (* 6.0 z)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-prod`
7×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`cbrt-div`
5×	`add-cube-cbrt`
4×	`pow1` `add-exp-log` `pow1/3` `associate-*l/` `add-cbrt-cube` `add-log-exp`
3×	`flip3--` `flip--`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 46

Calls

4 calls:

1.0ms	(cbrt (* 6.0 z))
2.0ms	(cbrt (- y x))
6.0ms	(cbrt (* (- y x) (* 6.0 z)))
6.0ms	(cbrt (* (- y x) (* 6.0 z)))

series691.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(cbrt (* 6.0 z))
142.0ms	(cbrt (- y x))
171.0ms	(cbrt (* (- y x) (* 6.0 z)))
174.0ms	(cbrt (* (- y x) (* 6.0 z)))

simplify73.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (68.0ms)

Iter	Nodes	Cost
0	295	409
1	711	381
2	2531	366
3	5001	363

prune226.0ms

Filtered

58 candidates to 51 candidates (87.9%)

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0b

regimes139.0ms

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

sample416.0ms

Algorithm

intervals

Results

225.0ms

10049×

body

valid