Details

sample24.0ms

Algorithm

intervals

Results

8.0ms

340×

body

valid

simplify3.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	10	7
2	17	7
3	27	7
4	36	7
5	42	7
6	51	7
7	69	7
8	99	7
9	157	7
10	206	7
11	287	7
12	363	7
13	466	7
14	575	7
15	705	7
16	909	7
17	1150	7
18	1408	7
19	1720	7
20	1919	7
21	2005	7
22	2107	7
23	2189	7
24	2292	7
25	2374	7
26	2476	7
27	2559	7
28	2661	7
29	2743	7
30	2846	7
31	2928	7
32	3030	7
33	3112	7
34	3215	7
35	3297	7
36	3399	7
37	3481	7
38	3583	7
39	3665	7
40	3768	7
41	3850	7
42	3952	7
43	4034	7
44	4136	7
45	4218	7
46	4320	7
47	4402	7
48	4505	7
49	4588	7
50	4690	7
51	4772	7
52	4874	7
53	4956	7
done	5000	7

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

7.0ms	(* (- y x) z)
3.0ms	(+ x (* (- y x) z))

series15.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(* (- y x) z)
8.0ms	(+ x (* (- y x) z))

simplify660.0ms

Counts

39 → 39

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	68	357
1	165	337
2	526	303
3	2065	303
done	5000	303

prune56.0ms

Filtered

27 candidates to 39 candidates (-44.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	36	3	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	36	4	40

Merged error: 0.0b

Counts

40 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt z)
0.5b	(cbrt z)
0.5b	(cbrt z)
0.6b	(* (cbrt z) (cbrt z))

rewrite12.0ms

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×	`add-cbrt-cube` `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 → 73

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
6.0ms	(* (cbrt z) (cbrt z))

series106.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(cbrt z)
24.0ms	(cbrt z)
24.0ms	(cbrt z)
31.0ms	(* (cbrt z) (cbrt z))

simplify924.0ms

Counts

85 → 85

Iterations

Useful iterations: 4 (352.0ms)

Iter	Nodes	Cost
0	76	590
1	151	525
2	433	462
3	1254	382
4	3638	374
done	5001	374

prune86.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	85	4	89

Merged error: 0.0b

Counts

89 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y x) z)
0.0b	(+ x (cbrt (pow (* (- y x) z) 3)))
0.3b	(pow (* (- y x) z) 3)
35.3b	(cbrt (pow (* (- y x) z) 3))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`cbrt-prod` `add-cube-cbrt`
6×	`associate-*l/` `add-log-exp`
5×	`associate-l`
4×	`cube-div`
3×	`pow-unpow` `flip3--` `associate-r` `flip--`
2×	`cube-mult` `unpow-prod-down` `cbrt-div` `pow-pow` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `flip3-+` `pow1/3` `sum-log` `*-commutative` `rem-cbrt-cube` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

8.0ms	(* (- y x) z)
5.0ms	(+ x (cbrt (pow (* (- y x) z) 3)))
7.0ms	(pow (* (- y x) z) 3)
4.0ms	(cbrt (pow (* (- y x) z) 3))

series48.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* (- y x) z)
12.0ms	(+ x (cbrt (pow (* (- y x) z) 3)))
18.0ms	(pow (* (- y x) z) 3)
12.0ms	(cbrt (pow (* (- y x) z) 3))

simplify459.0ms

Counts

89 → 89

Iterations

Useful iterations: 2 (94.0ms)

Iter	Nodes	Cost
0	138	1039
1	345	834
2	1312	765
done	5000	765

prune102.0ms

Filtered

63 candidates to 89 candidates (-41.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	89	4	93

Merged error: 0.0b

Counts

93 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- y x))
0.0b	(+ x (* (sqrt (- y x)) (* (sqrt (- y x)) z)))
0.1b	(* (sqrt (- y x)) z)
0.2b	(* (sqrt (- y x)) (* (sqrt (- y x)) z))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
16×	`-un-lft-identity` `sqrt-div` `associate-l*` `sqrt-prod`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `associate-*l/`
8×	`flip3--` `flip--`
6×	`add-log-exp`
4×	`frac-times` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`associate-r/` `-commutative` `unswap-sqr`
1×	`+-commutative` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `sum-log` `flip-+`

Counts

4 → 85

Calls

4 calls:

4.0ms	(sqrt (- y x))
3.0ms	(+ x (* (sqrt (- y x)) (* (sqrt (- y x)) z)))
8.0ms	(* (sqrt (- y x)) z)
13.0ms	(* (sqrt (- y x)) (* (sqrt (- y x)) z))

series44.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(sqrt (- y x))
8.0ms	(+ x (* (sqrt (- y x)) (* (sqrt (- y x)) z)))
19.0ms	(* (sqrt (- y x)) z)
8.0ms	(* (sqrt (- y x)) (* (sqrt (- y x)) z))

simplify1.3s

Counts

97 → 97

Iterations

Useful iterations: 3 (411.0ms)

Iter	Nodes	Cost
0	145	1316
1	362	998
2	1108	908
3	3853	901
done	5000	901

prune86.0ms

Filtered

65 candidates to 97 candidates (-49.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	97	4	101

Merged error: 0.0b

Counts

101 → 4

regimes195.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	8	7
done	8	7

end0.0ms

sample646.0ms

Algorithm

intervals

Results

259.0ms

10256×

body

valid

Details

sample24.0ms

simplify3.0s

prune3.0ms

localize5.0ms

rewrite11.0ms

series15.0ms

simplify660.0ms

prune56.0ms

localize10.0ms

rewrite12.0ms

series106.0ms

simplify924.0ms

prune86.0ms

localize8.0ms

rewrite25.0ms

series48.0ms

simplify459.0ms

prune102.0ms

localize11.0ms

rewrite31.0ms

series44.0ms

simplify1.3s

prune86.0ms

regimes195.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample646.0ms

Profiling