Details

sample29.0ms

Algorithm

intervals

Results

12.0ms

311×

body

valid

simplify9.2s

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

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite98.0ms

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:

15.0ms	(+ x (* (* (- y x) 6.0) z))
37.0ms	(* (- y x) 6.0)
43.0ms	(* (* (- y x) 6.0) z)

series153.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(+ x (* (* (- y x) 6.0) z))
38.0ms	(* (- y x) 6.0)
52.0ms	(* (* (- y x) 6.0) z)

simplify3.6s

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

prune213.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

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)

series60.0ms

Counts

1 → 3

Calls

1 calls:

59.0ms

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

simplify1.2s

Counts

13 → 13

Iterations

Useful iterations: 3 (87.0ms)

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

prune38.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.5b	(cbrt z)
0.5b	(cbrt z)
0.5b	(cbrt z)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

12.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
7.0ms	(cbrt z)

series1.0s

Counts

4 → 12

Calls

4 calls:

281.0ms	(* (cbrt z) (cbrt z))
273.0ms	(cbrt z)
215.0ms	(cbrt z)
251.0ms	(cbrt z)

simplify4.8s

Counts

93 → 93

Iterations

Useful iterations: done (4.8s)

Iter	Nodes	Cost
0	65	554
1	119	443
2	327	423
3	1104	405
4	4523	400
done	5001	390

prune242.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (* (- y x) 6.0) (cbrt (* z z))) (cbrt z))
0.3b	(* (* (- y x) 6.0) (cbrt (* z z)))
0.5b	(cbrt z)
26.1b	(cbrt (* z z))

rewrite215.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

160.0ms	(* (* (* (- y x) 6.0) (cbrt (* z z))) (cbrt z))
48.0ms	(* (* (- y x) 6.0) (cbrt (* z z)))
1.0ms	(cbrt z)
4.0ms	(cbrt (* z z))

series747.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(* (* (* (- y x) 6.0) (cbrt (* z z))) (cbrt z))
161.0ms	(* (* (- y x) 6.0) (cbrt (* z z)))
258.0ms	(cbrt z)
236.0ms	(cbrt (* z z))

simplify967.0ms

Counts

87 → 87

Iterations

Useful iterations: done (964.0ms)

Iter	Nodes	Cost
0	133	994
1	332	950
2	1273	812
done	5000	796

prune220.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes120.0ms

Accuracy

0% (0.2b 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

sample976.0ms

Algorithm

intervals

Results

416.0ms

10142×

body

valid