Details

sample22.0ms

Algorithm

intervals

Results

10.0ms

332×

body

valid

simplify9.0s

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

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 1 expressions with local error:

0.1b	(fma (- y x) (* 6.0 z) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma (- y x) (* 6.0 z) x)

series58.0ms

Counts

1 → 3

Calls

1 calls:

58.0ms

(fma (- y x) (* 6.0 z) x)

simplify1.3s

Counts

13 → 13

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	23	154
1	44	151
2	108	135
3	325	123
4	1429	123
done	5000	123

prune31.0ms

Pruning

3 alts after pruning (2 fresh and 1 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)
0.5b	(* (* (- y x) 6.0) z)

rewrite72.0ms

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:

7.0ms	(+ x (* (* (- y x) 6.0) z))
22.0ms	(* (- y x) 6.0)
39.0ms	(* (* (- y x) 6.0) z)

series132.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(+ x (* (* (- y x) 6.0) z))
32.0ms	(* (- y x) 6.0)
42.0ms	(* (* (- y x) 6.0) z)

simplify3.6s

Counts

71 → 71

Iterations

Useful iterations: 2 (217.0ms)

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

prune180.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite315.0ms

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:

11.0ms	(+ x (* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z))
196.0ms	(* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z)
41.0ms	(* (- y x) (sqrt 6.0))
64.0ms	(* (* (- y x) (sqrt 6.0)) (sqrt 6.0))

series607.0ms

Counts

4 → 12

Calls

4 calls:

211.0ms	(+ x (* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z))
203.0ms	(* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z)
91.0ms	(* (- y x) (sqrt 6.0))
102.0ms	(* (* (- y x) (sqrt 6.0)) (sqrt 6.0))

simplify1.2s

Counts

106 → 106

Iterations

Useful iterations: done (1.2s)

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

prune281.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y x) (sqrt (sqrt 6.0)))
0.3b	(* (* (- y x) (sqrt (sqrt 6.0))) (sqrt (sqrt 6.0)))
0.5b	(* (* (* (* (- y x) (sqrt (sqrt 6.0))) (sqrt (sqrt 6.0))) (sqrt 6.0)) z)
0.7b	(* (* (* (- y x) (sqrt (sqrt 6.0))) (sqrt (sqrt 6.0))) (sqrt 6.0))

rewrite1.3s

Algorithm

rewrite-expression-head

Rules

34×	`pow1` `add-exp-log` `add-cbrt-cube`
27×	`associate-r`
24×	`sqrt-prod`
22×	`add-sqr-sqrt`
20×	`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`
3×	`unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 116

Calls

4 calls:

44.0ms	(* (- y x) (sqrt (sqrt 6.0)))
83.0ms	(* (* (- y x) (sqrt (sqrt 6.0))) (sqrt (sqrt 6.0)))
875.0ms	(* (* (* (* (- y x) (sqrt (sqrt 6.0))) (sqrt (sqrt 6.0))) (sqrt 6.0)) z)
253.0ms	(* (* (* (- y x) (sqrt (sqrt 6.0))) (sqrt (sqrt 6.0))) (sqrt 6.0))

series551.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(* (- y x) (sqrt (sqrt 6.0)))
81.0ms	(* (* (- y x) (sqrt (sqrt 6.0))) (sqrt (sqrt 6.0)))
196.0ms	(* (* (* (* (- y x) (sqrt (sqrt 6.0))) (sqrt (sqrt 6.0))) (sqrt 6.0)) z)
144.0ms	(* (* (* (- y x) (sqrt (sqrt 6.0))) (sqrt (sqrt 6.0))) (sqrt 6.0))

simplify1.2s

Counts

128 → 128

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	159	2060
1	390	1425
2	1524	1011
done	5001	1007

prune313.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes84.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	8	8
done	8	8

end0.0ms

sample756.0ms

Algorithm

intervals

Results

468.0ms

10088×

body

valid