Details

sample37.0ms

Algorithm

intervals

Results

15.0ms

328×

body

valid

simplify10.6s

Counts

1 → 1

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	8	9
1	15	9
2	32	8
3	73	8
4	148	8
5	210	8
6	245	8
7	285	8
8	339	8
9	482	8
10	608	8
11	722	8
12	857	8
13	942	8
14	961	8
15	1011	8
16	1155	8
17	1260	8
18	1486	8
19	1622	8
20	1805	8
21	1815	8
22	1817	8
done	1817	8

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

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)

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`associate-r` `associate-l` `associate-*l/`
5×	`add-log-exp`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `fma-def` `log1p-expm1-u`
2×	`flip3--` `*-commutative` `flip--`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 62

Calls

3 calls:

8.0ms	(+ x (* (* (- y x) 6.0) z))
27.0ms	(* (- y x) 6.0)
42.0ms	(* (* (- y x) 6.0) z)

series185.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(+ x (* (* (- y x) 6.0) z))
39.0ms	(* (- y x) 6.0)
70.0ms	(* (* (- y x) 6.0) z)

simplify4.0s

Counts

71 → 71

Iterations

Useful iterations: 2 (306.0ms)

Iter	Nodes	Cost
0	104	692
1	258	647
2	960	553
3	4907	553
done	5000	553

prune210.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`associate-l`
4×	`add-cube-cbrt` `add-log-exp`
3×	`fma-def` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u`
1×	`+-commutative` `flip3--` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip--` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 40

Calls

2 calls:

13.0ms	(+ x (* (- y x) (* 6.0 z)))
59.0ms	(* (- y x) (* 6.0 z))

series108.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(+ x (* (- y x) (* 6.0 z)))
49.0ms	(* (- y x) (* 6.0 z))

simplify2.6s

Counts

46 → 46

Iterations

Useful iterations: 2 (103.0ms)

Iter	Nodes	Cost
0	79	504
1	216	470
2	737	396
3	3617	396
done	5000	396

prune156.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z))
0.3b	(* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z)
0.6b	(* (- y x) (sqrt 6.0))
0.6b	(* (* (- y x) (sqrt 6.0)) (sqrt 6.0))

rewrite343.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1` `add-exp-log` `add-cbrt-cube`
17×	`add-sqr-sqrt`
15×	`associate-r`
13×	`*-un-lft-identity`
12×	`associate-*l/`
11×	`add-cube-cbrt`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`associate-l` `sqrt-prod`
6×	`add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`flip3--` `fma-def` `*-commutative` `flip--`
2×	`unswap-sqr`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 94

Calls

4 calls:

16.0ms	(+ x (* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z))
232.0ms	(* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z)
27.0ms	(* (- y x) (sqrt 6.0))
64.0ms	(* (* (- y x) (sqrt 6.0)) (sqrt 6.0))

series619.0ms

Counts

4 → 12

Calls

4 calls:

238.0ms	(+ x (* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z))
155.0ms	(* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z)
78.0ms	(* (- y x) (sqrt 6.0))
148.0ms	(* (* (- y x) (sqrt 6.0)) (sqrt 6.0))

simplify1.3s

Counts

106 → 106

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	138	1399
1	347	984
2	1317	840
done	5000	827

prune306.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (* (* (- y x) (sqrt 6.0)) (sqrt (sqrt 6.0))) (sqrt (sqrt 6.0))) z)
0.3b	(* (* (* (- y x) (sqrt 6.0)) (sqrt (sqrt 6.0))) (sqrt (sqrt 6.0)))
0.3b	(* (* (- y x) (sqrt 6.0)) (sqrt (sqrt 6.0)))
0.6b	(* (- y x) (sqrt 6.0))

rewrite1.0s

Algorithm

rewrite-expression-head

Rules

34×	`pow1` `add-exp-log` `add-cbrt-cube`
27×	`associate-r`
22×	`sqrt-prod`
20×	`add-sqr-sqrt` `pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
8×	`associate-l`
4×	`expm1-log1p-u` `flip3--` `*-commutative` `flip--` `log1p-expm1-u` `add-log-exp`
2×	`unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 115

Calls

4 calls:

740.0ms	(* (* (* (* (- y x) (sqrt 6.0)) (sqrt (sqrt 6.0))) (sqrt (sqrt 6.0))) z)
203.0ms	(* (* (* (- y x) (sqrt 6.0)) (sqrt (sqrt 6.0))) (sqrt (sqrt 6.0)))
61.0ms	(* (* (- y x) (sqrt 6.0)) (sqrt (sqrt 6.0)))
34.0ms	(* (- y x) (sqrt 6.0))

series663.0ms

Counts

4 → 12

Calls

4 calls:

212.0ms	(* (* (* (* (- y x) (sqrt 6.0)) (sqrt (sqrt 6.0))) (sqrt (sqrt 6.0))) z)
110.0ms	(* (* (* (- y x) (sqrt 6.0)) (sqrt (sqrt 6.0))) (sqrt (sqrt 6.0)))
244.0ms	(* (* (- y x) (sqrt 6.0)) (sqrt (sqrt 6.0)))
97.0ms	(* (- y x) (sqrt 6.0))

simplify1.0s

Counts

127 → 127

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	161	2009
1	403	1508
2	1572	1059
done	5001	1055

prune322.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes86.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	11	9
done	11	9

end0.0ms

sample740.0ms

Algorithm

intervals

Results

345.0ms

10177×

body

valid