Details

sample27.0ms

Algorithm

intervals

Results

17.0ms

311×

body

valid

simplify129.0ms

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: 0.1b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite49.0ms

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:

4.0ms	(+ x (* (* (- y x) 6.0) z))
17.0ms	(* (- y x) 6.0)
26.0ms	(* (* (- y x) 6.0) z)

series126.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(+ x (* (* (- y x) 6.0) z))
28.0ms	(* (- y x) 6.0)
55.0ms	(* (* (- y x) 6.0) z)

simplify35.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 1 (7.0ms)

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

prune118.0ms

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))

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))

series83.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(+ x (* (- y x) (* 6.0 z)))
39.0ms	(* (- y x) (* 6.0 z))

simplify112.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 1 (8.0ms)

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

prune72.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z))
0.2b	(* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z)
0.5b	(* (- y x) (sqrt 6.0))
0.6b	(* (* (- y x) (sqrt 6.0)) (sqrt 6.0))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

2.0ms	(+ x (* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z))
66.0ms	(* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z)
11.0ms	(* (- y x) (sqrt 6.0))
19.0ms	(* (* (- y x) (sqrt 6.0)) (sqrt 6.0))

series479.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(+ x (* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z))
157.0ms	(* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z)
67.0ms	(* (- y x) (sqrt 6.0))
95.0ms	(* (* (- y x) (sqrt 6.0)) (sqrt 6.0))

simplify59.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	337	590
1	1698	473
2	5001	467

prune163.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (* (* (- y x) (sqrt 6.0)) (* (cbrt (sqrt 6.0)) (cbrt (sqrt 6.0)))) (cbrt (sqrt 6.0))) z)
0.2b	(* (* (* (- y x) (sqrt 6.0)) (* (cbrt (sqrt 6.0)) (cbrt (sqrt 6.0)))) (cbrt (sqrt 6.0)))
0.3b	(* (* (- y x) (sqrt 6.0)) (* (cbrt (sqrt 6.0)) (cbrt (sqrt 6.0))))
0.5b	(* (- y x) (sqrt 6.0))

rewrite515.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1` `add-exp-log`
41×	`pow-prod-down` `prod-exp` `cbrt-unprod`
39×	`add-cbrt-cube`
20×	`associate-*l/`
19×	`associate-r`
17×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
11×	`add-cube-cbrt`
8×	`associate-l`
7×	`sqrt-prod`
6×	`cbrt-prod`
4×	`flip3--` `*-commutative` `flip--` `add-log-exp`
2×	`unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 117

Calls

4 calls:

369.0ms	(* (* (* (* (- y x) (sqrt 6.0)) (* (cbrt (sqrt 6.0)) (cbrt (sqrt 6.0)))) (cbrt (sqrt 6.0))) z)
102.0ms	(* (* (* (- y x) (sqrt 6.0)) (* (cbrt (sqrt 6.0)) (cbrt (sqrt 6.0)))) (cbrt (sqrt 6.0)))
27.0ms	(* (* (- y x) (sqrt 6.0)) (* (cbrt (sqrt 6.0)) (cbrt (sqrt 6.0))))
11.0ms	(* (- y x) (sqrt 6.0))

series893.0ms

Counts

4 → 12

Calls

4 calls:

352.0ms	(* (* (* (* (- y x) (sqrt 6.0)) (* (cbrt (sqrt 6.0)) (cbrt (sqrt 6.0)))) (cbrt (sqrt 6.0))) z)
103.0ms	(* (* (* (- y x) (sqrt 6.0)) (* (cbrt (sqrt 6.0)) (cbrt (sqrt 6.0)))) (cbrt (sqrt 6.0)))
375.0ms	(* (* (- y x) (sqrt 6.0)) (* (cbrt (sqrt 6.0)) (cbrt (sqrt 6.0))))
63.0ms	(* (- y x) (sqrt 6.0))

simplify77.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	450	1485
1	2416	1093
2	5001	977

prune225.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes86.0ms

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

sample767.0ms

Algorithm

intervals

Results

555.0ms

10111×

body

valid