Details

sample26.0ms

Algorithm

intervals

Results

9.0ms

322×

body

valid

simplify10.1s

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

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

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 46

Calls

2 calls:

38.0ms	(* (- y x) 6.0)
70.0ms	(* (* (- y x) 6.0) z)

series116.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(* (- y x) 6.0)
64.0ms	(* (* (- y x) 6.0) z)

simplify3.0s

Counts

52 → 52

Iterations

Useful iterations: 2 (181.0ms)

Iter	Nodes	Cost
0	83	452
1	193	434
2	715	368
3	3319	368
done	5001	368

prune164.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

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:

1.0ms

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

series52.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

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

simplify1.2s

Counts

13 → 13

Iterations

Useful iterations: 3 (63.0ms)

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

prune58.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (* (- y x) 6.0) z)) (cbrt (* (* (- y x) 6.0) z)))
3.1b	(cbrt (* (* (- y x) 6.0) z))
3.1b	(cbrt (* (* (- y x) 6.0) z))
3.1b	(cbrt (* (* (- y x) 6.0) z))

rewrite201.0ms

Algorithm

rewrite-expression-head

Rules

38×	`associate-*l/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3--` `pow1/3` `flip--`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`associate-*r/` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

67.0ms	(* (cbrt (* (* (- y x) 6.0) z)) (cbrt (* (* (- y x) 6.0) z)))
29.0ms	(cbrt (* (* (- y x) 6.0) z))
46.0ms	(cbrt (* (* (- y x) 6.0) z))
56.0ms	(cbrt (* (* (- y x) 6.0) z))

series1.1s

Counts

4 → 12

Calls

4 calls:

364.0ms	(* (cbrt (* (* (- y x) 6.0) z)) (cbrt (* (* (- y x) 6.0) z)))
212.0ms	(cbrt (* (* (- y x) 6.0) z))
255.0ms	(cbrt (* (* (- y x) 6.0) z))
227.0ms	(cbrt (* (* (- y x) 6.0) z))

simplify2.8s

Counts

92 → 92

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	166	1700
1	393	1570
2	1095	1445
3	3484	1297
done	5000	1218

prune385.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (* (- y x) 6.0))
0.6b	(cbrt z)
3.1b	(cbrt (* (* (- y x) 6.0) z))
3.1b	(cbrt (* (* (- y x) 6.0) z))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-*l/`
6×	`cbrt-prod` `cbrt-div`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `flip--`

Counts

4 → 52

Calls

4 calls:

8.0ms	(cbrt (* (- y x) 6.0))
1.0ms	(cbrt z)
39.0ms	(cbrt (* (* (- y x) 6.0) z))
50.0ms	(cbrt (* (* (- y x) 6.0) z))

series925.0ms

Counts

4 → 12

Calls

4 calls:

264.0ms	(cbrt (* (- y x) 6.0))
240.0ms	(cbrt z)
202.0ms	(cbrt (* (* (- y x) 6.0) z))
218.0ms	(cbrt (* (* (- y x) 6.0) z))

simplify1.7s

Counts

64 → 64

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	145	759
1	319	738
2	770	686
3	2232	635
done	5001	568

prune294.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes123.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample747.0ms

Algorithm

intervals

Results

314.0ms

10111×

body

valid