Details

sample37.0ms

Algorithm

intervals

Results

13.0ms

312×

body

valid

simplify6.9s

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

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

prune6.0ms

Pruning

2 alts after pruning (2 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)
0.3b	(* (* (- y x) 6.0) z)

rewrite70.0ms

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))
21.0ms	(* (- y x) 6.0)
40.0ms	(* (* (- y x) 6.0) z)

series132.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(+ x (* (* (- y x) 6.0) z))
33.0ms	(* (- y x) 6.0)
46.0ms	(* (* (- y x) 6.0) z)

simplify2.9s

Counts

71 → 71

Iterations

Useful iterations: 2 (149.0ms)

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

prune152.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b	(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:

0.0ms

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

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

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

simplify930.0ms

Counts

13 → 13

Iterations

Useful iterations: 3 (54.0ms)

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

prune45.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

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)
0.6b	(* (- y x) (sqrt 6.0))
0.6b	(* (* (- y x) (sqrt 6.0)) (sqrt 6.0))

rewrite212.0ms

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:

7.0ms	(+ x (* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z))
134.0ms	(* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z)
23.0ms	(* (- y x) (sqrt 6.0))
44.0ms	(* (* (- y x) (sqrt 6.0)) (sqrt 6.0))

series526.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(+ x (* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z))
170.0ms	(* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z)
66.0ms	(* (- y x) (sqrt 6.0))
107.0ms	(* (* (- y x) (sqrt 6.0)) (sqrt 6.0))

simplify985.0ms

Counts

106 → 106

Iterations

Useful iterations: done (982.0ms)

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

prune224.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y x) (* (cbrt (sqrt 6.0)) (cbrt (sqrt 6.0))))
0.2b	(* (* (* (* (- y x) (* (cbrt (sqrt 6.0)) (cbrt (sqrt 6.0)))) (cbrt (sqrt 6.0))) (sqrt 6.0)) z)
0.3b	(* (* (- y x) (* (cbrt (sqrt 6.0)) (cbrt (sqrt 6.0)))) (cbrt (sqrt 6.0)))
0.6b	(* (* (* (- y x) (* (cbrt (sqrt 6.0)) (cbrt (sqrt 6.0)))) (cbrt (sqrt 6.0))) (sqrt 6.0))

rewrite1.8s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 118

Calls

4 calls:

41.0ms	(* (- y x) (* (cbrt (sqrt 6.0)) (cbrt (sqrt 6.0))))
1.3s	(* (* (* (* (- y x) (* (cbrt (sqrt 6.0)) (cbrt (sqrt 6.0)))) (cbrt (sqrt 6.0))) (sqrt 6.0)) z)
105.0ms	(* (* (- y x) (* (cbrt (sqrt 6.0)) (cbrt (sqrt 6.0)))) (cbrt (sqrt 6.0)))
348.0ms	(* (* (* (- y x) (* (cbrt (sqrt 6.0)) (cbrt (sqrt 6.0)))) (cbrt (sqrt 6.0))) (sqrt 6.0))

series677.0ms

Counts

4 → 12

Calls

4 calls:

319.0ms	(* (- y x) (* (cbrt (sqrt 6.0)) (cbrt (sqrt 6.0))))
176.0ms	(* (* (* (* (- y x) (* (cbrt (sqrt 6.0)) (cbrt (sqrt 6.0)))) (cbrt (sqrt 6.0))) (sqrt 6.0)) z)
71.0ms	(* (* (- y x) (* (cbrt (sqrt 6.0)) (cbrt (sqrt 6.0)))) (cbrt (sqrt 6.0)))
110.0ms	(* (* (* (- y x) (* (cbrt (sqrt 6.0)) (cbrt (sqrt 6.0)))) (cbrt (sqrt 6.0))) (sqrt 6.0))

simplify1.1s

Counts

130 → 130

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	169	2682
1	437	2485
2	1707	1608
done	5001	1109

prune262.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes138.0ms

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	8	9
1	11	9
done	11	9

end0.0ms

sample512.0ms

Algorithm

intervals

Results

226.0ms

10139×

body

valid