Details

sample39.0ms

Algorithm

intervals

Results

19.0ms

331×

body

valid

simplify9.3s

Counts

1 → 1

Iterations

Useful iterations: 2 (8.0ms)

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

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

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)

series70.0ms

Counts

1 → 3

Calls

1 calls:

69.0ms

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

simplify1.2s

Counts

13 → 13

Iterations

Useful iterations: 3 (56.0ms)

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

prune43.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite79.0ms

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×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u`
1×	`+-commutative` `flip3--` `fma-def` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip--` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 38

Calls

2 calls:

29.0ms	(+ (* (- y x) (* 6.0 z)) x)
49.0ms	(* (- y x) (* 6.0 z))

series114.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(+ (* (- y x) (* 6.0 z)) x)
48.0ms	(* (- y x) (* 6.0 z))

simplify2.6s

Counts

44 → 44

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	79	504
1	216	462
2	706	402
3	3302	396
done	5000	396

prune112.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) 6.0)
0.0b	(+ (pow (* (* (- y x) 6.0) z) 1) x)
0.7b	(* (* (- y x) 6.0) z)

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 65

Calls

3 calls:

35.0ms	(* (- y x) 6.0)
27.0ms	(+ (pow (* (* (- y x) 6.0) z) 1) x)
41.0ms	(* (* (- y x) 6.0) z)

series180.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(* (- y x) 6.0)
70.0ms	(+ (pow (* (* (- y x) 6.0) z) 1) x)
63.0ms	(* (* (- y x) 6.0) z)

simplify3.3s

Counts

74 → 74

Iterations

Useful iterations: 2 (167.0ms)

Iter	Nodes	Cost
0	107	743
1	261	651
2	972	556
3	4962	556
done	5000	556

prune255.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
0.8b	(* (* (- y x) 6.0) (* (cbrt z) (cbrt z)))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log`
12×	`add-cbrt-cube`
9×	`cbrt-prod`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`flip3--` `associate-r` `associate-l` `*-commutative` `flip--`

Counts

4 → 65

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
81.0ms	(* (* (- y x) 6.0) (* (cbrt z) (cbrt z)))

series1.1s

Counts

4 → 12

Calls

4 calls:

276.0ms	(cbrt z)
292.0ms	(cbrt z)
282.0ms	(cbrt z)
232.0ms	(* (* (- y x) 6.0) (* (cbrt z) (cbrt z)))

simplify3.6s

Counts

77 → 77

Iterations

Useful iterations: 3 (1.9s)

Iter	Nodes	Cost
0	94	681
1	246	649
2	892	479
3	4362	470
done	5000	470

prune346.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes127.0ms

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

sample830.0ms

Algorithm

intervals

Results

545.0ms

10080×

body

valid