Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

345×

body

valid

simplify139.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite27.0ms

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))
9.0ms	(* (- y x) 6.0)
14.0ms	(* (* (- y x) 6.0) z)

series120.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(+ x (* (* (- y x) 6.0) z))
30.0ms	(* (- y x) 6.0)
41.0ms	(* (* (- 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

prune119.0ms

Pruning

8 alts after pruning (7 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)))
0.5b	(* (- 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)))
12.0ms	(* (- y x) (* 6.0 z))

series86.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(+ x (* (- y x) (* 6.0 z)))
42.0ms	(* (- 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

prune74.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

13.0ms	(* (cbrt (- y x)) (* 6.0 z))
2.0ms	(cbrt (- y x))
2.0ms	(cbrt (- y x))
2.0ms	(cbrt (- y x))

series783.0ms

Counts

4 → 12

Calls

4 calls:

327.0ms	(* (cbrt (- y x)) (* 6.0 z))
154.0ms	(cbrt (- y x))
147.0ms	(cbrt (- y x))
154.0ms	(cbrt (- y x))

simplify70.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 3 (64.0ms)

Iter	Nodes	Cost
0	270	484
1	726	456
2	2544	446
3	5001	421

prune247.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- y x))
2.0b	(cbrt (* (cbrt (- y x)) (* 6.0 z)))
2.0b	(cbrt (* (cbrt (- y x)) (* 6.0 z)))
2.0b	(cbrt (* (cbrt (- y x)) (* 6.0 z)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 48

Calls

4 calls:

2.0ms	(cbrt (- y x))
7.0ms	(cbrt (* (cbrt (- y x)) (* 6.0 z)))
7.0ms	(cbrt (* (cbrt (- y x)) (* 6.0 z)))
7.0ms	(cbrt (* (cbrt (- y x)) (* 6.0 z)))

series953.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(cbrt (- y x))
270.0ms	(cbrt (* (cbrt (- y x)) (* 6.0 z)))
270.0ms	(cbrt (* (cbrt (- y x)) (* 6.0 z)))
266.0ms	(cbrt (* (cbrt (- y x)) (* 6.0 z)))

simplify84.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 3 (72.0ms)

Iter	Nodes	Cost
0	281	530
1	688	489
2	2513	471
3	5001	456

prune260.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes110.0ms

Accuracy

0% (0.3b 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

sample452.0ms

Algorithm

intervals

Results

242.0ms

10161×

body

valid