Details

sample31.0ms

Algorithm

intervals

Results

10.0ms

334×

body

valid

simplify2.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	13	9
2	20	9
3	30	9
4	39	9
5	46	9
6	57	9
7	78	9
8	115	9
9	163	9
10	235	9
11	308	9
12	426	9
13	549	9
14	640	9
15	775	9
16	883	9
17	971	9
18	1106	9
19	1214	9
20	1302	9
21	1437	9
22	1545	9
23	1633	9
24	1768	9
25	1878	9
26	1970	9
27	2105	9
28	2215	9
29	2307	9
30	2442	9
31	2552	9
32	2644	9
33	2779	9
34	2889	9
35	2981	9
36	3116	9
37	3226	9
38	3318	9
39	3453	9
40	3563	9
41	3655	9
42	3790	9
43	3900	9
44	3990	9
45	4125	9
46	4235	9
47	4325	9
48	4460	9
49	4570	9
50	4660	9
51	4795	9
52	4905	9
53	4995	9
done	5000	9

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

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) z)
0.0b	(+ (* x y) (* (- 1.0 x) z))

rewrite12.0ms

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	(* (- 1.0 x) z)
4.0ms	(+ (* x y) (* (- 1.0 x) z))

series14.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(* (- 1.0 x) z)
9.0ms	(+ (* x y) (* (- 1.0 x) z))

simplify963.0ms

Counts

39 → 39

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	73	405
1	196	373
2	709	345
3	3239	345
done	5000	345

prune48.0ms

Filtered

26 candidates to 39 candidates (-50.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	37	2	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	3	40

Merged error: 0.0b

Counts

40 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- 1.0 x))
0.0b	(+ (* x y) (* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) z)))
0.0b	(* (sqrt (- 1.0 x)) z)
0.0b	(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) z))

rewrite33.0ms

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 (- 1.0 x))
4.0ms	(+ (* x y) (* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) z)))
8.0ms	(* (sqrt (- 1.0 x)) z)
14.0ms	(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) z))

series33.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(sqrt (- 1.0 x))
9.0ms	(+ (* x y) (* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) z)))
14.0ms	(* (sqrt (- 1.0 x)) z)
5.0ms	(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) z))

simplify517.0ms

Counts

97 → 97

Iterations

Useful iterations: done (515.0ms)

Iter	Nodes	Cost
0	179	1454
1	479	1124
2	1553	1040
done	5000	1028

prune144.0ms

Filtered

67 candidates to 97 candidates (-44.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	97	3	100

Merged error: 0.0b

Counts

100 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- 1.0 x) z)
0.0b	(+ (* (- 1.0 x) z) (* x y))
0.2b	(pow (+ (* (- 1.0 x) z) (* x y)) 3)
37.8b	(cbrt (pow (+ (* (- 1.0 x) z) (* x y)) 3))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

7.0ms	(* (- 1.0 x) z)
8.0ms	(+ (* (- 1.0 x) z) (* x y))
8.0ms	(pow (+ (* (- 1.0 x) z) (* x y)) 3)
8.0ms	(cbrt (pow (+ (* (- 1.0 x) z) (* x y)) 3))

series56.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* (- 1.0 x) z)
9.0ms	(+ (* (- 1.0 x) z) (* x y))
33.0ms	(pow (+ (* (- 1.0 x) z) (* x y)) 3)
9.0ms	(cbrt (pow (+ (* (- 1.0 x) z) (* x y)) 3))

simplify494.0ms

Counts

93 → 93

Iterations

Useful iterations: 2 (108.0ms)

Iter	Nodes	Cost
0	138	1533
1	374	1301
2	1500	1171
done	5000	1171

prune114.0ms

Filtered

57 candidates to 93 candidates (-63.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	93	3	96

Merged error: 0.0b

Counts

96 → 3

regimes184.0ms

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	8	9
1	11	9
done	11	9

end0.0ms

sample729.0ms

Algorithm

intervals

Results

312.0ms

10234×

body

valid

Details

sample31.0ms

simplify2.0s

prune3.0ms

localize7.0ms

rewrite12.0ms

series14.0ms

simplify963.0ms

prune48.0ms

localize12.0ms

rewrite33.0ms

series33.0ms

simplify517.0ms

prune144.0ms

localize10.0ms

rewrite33.0ms

series56.0ms

simplify494.0ms

prune114.0ms

regimes184.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample729.0ms

Profiling