Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

322×

body

valid

simplify138.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite29.0ms

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)

series109.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(+ x (* (* (- y x) 6.0) z))
32.0ms	(* (- y x) 6.0)
36.0ms	(* (* (- y x) 6.0) z)

simplify40.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 1 (8.0ms)

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

prune123.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (* 6.0 z)))
0.6b	(* (- 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))

series80.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(+ x (* (- y x) (* 6.0 z)))
36.0ms	(* (- y x) (* 6.0 z))

simplify104.0ms

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

prune78.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

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:

4.0ms	(cbrt (* (- y x) 6.0))
4.0ms	(cbrt (* (- y x) 6.0))
6.0ms	(cbrt (* (- y x) 6.0))
11.0ms	(* (cbrt (* (- y x) 6.0)) (cbrt (* (- y x) 6.0)))

series864.0ms

Counts

4 → 12

Calls

4 calls:

210.0ms	(cbrt (* (- y x) 6.0))
222.0ms	(cbrt (* (- y x) 6.0))
207.0ms	(cbrt (* (- y x) 6.0))
225.0ms	(* (cbrt (* (- y x) 6.0)) (cbrt (* (- y x) 6.0)))

simplify46.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	281	658
1	1000	607
2	5001	566

prune285.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (* (- y x) 6.0) z)) (cbrt (* (* (- y x) 6.0) z)))
3.4b	(cbrt (* (* (- y x) 6.0) z))
3.4b	(cbrt (* (* (- y x) 6.0) z))
3.4b	(cbrt (* (* (- y x) 6.0) z))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

38×	`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:

21.0ms	(* (cbrt (* (* (- y x) 6.0) z)) (cbrt (* (* (- y x) 6.0) z)))
15.0ms	(cbrt (* (* (- y x) 6.0) z))
12.0ms	(cbrt (* (* (- y x) 6.0) z))
13.0ms	(cbrt (* (* (- y x) 6.0) z))

series788.0ms

Counts

4 → 12

Calls

4 calls:

247.0ms	(* (cbrt (* (* (- y x) 6.0) z)) (cbrt (* (* (- y x) 6.0) z)))
182.0ms	(cbrt (* (* (- y x) 6.0) z))
180.0ms	(cbrt (* (* (- y x) 6.0) z))
178.0ms	(cbrt (* (* (- y x) 6.0) z))

simplify52.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	378	839
1	1291	774
2	5002	720

prune288.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes152.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4

end0.0ms

sample454.0ms

Algorithm

intervals

Results

244.0ms

10150×

body

valid