Details

sample26.0ms

Algorithm

intervals

Results

10.0ms

334×

body

valid

simplify2.2s

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	544	9
14	635	9
15	770	9
16	878	9
17	970	9
18	1105	9
19	1215	9
20	1307	9
21	1442	9
22	1552	9
23	1644	9
24	1779	9
25	1889	9
26	1981	9
27	2116	9
28	2226	9
29	2318	9
30	2453	9
31	2563	9
32	2655	9
33	2790	9
34	2900	9
35	2992	9
36	3127	9
37	3237	9
38	3329	9
39	3464	9
40	3574	9
41	3666	9
42	3801	9
43	3911	9
44	4003	9
45	4138	9
46	4248	9
47	4340	9
48	4475	9
49	4585	9
50	4677	9
51	4812	9
52	4922	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

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

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:

11.0ms	(+ (* (- 1.0 x) y) (* x z))
8.0ms	(* (- 1.0 x) y)

series14.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(+ (* (- 1.0 x) y) (* x z))
5.0ms	(* (- 1.0 x) y)

simplify843.0ms

Counts

39 → 39

Iterations

Useful iterations: 3 (254.0ms)

Iter	Nodes	Cost
0	71	405
1	194	375
2	678	347
3	2827	345
done	5000	345

prune54.0ms

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

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- 1.0 x))
0.0b	(+ (* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y)) (* x z))
0.0b	(* (sqrt (- 1.0 x)) y)
0.1b	(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y))

rewrite44.0ms

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))
17.0ms	(+ (* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y)) (* x z))
8.0ms	(* (sqrt (- 1.0 x)) y)
13.0ms	(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y))

series31.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(sqrt (- 1.0 x))
9.0ms	(+ (* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y)) (* x z))
13.0ms	(* (sqrt (- 1.0 x)) y)
6.0ms	(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y))

simplify507.0ms

Counts

97 → 97

Iterations

Useful iterations: done (504.0ms)

Iter	Nodes	Cost
0	177	1454
1	476	1126
2	1530	1042
done	5001	1028

prune145.0ms

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) y) (* x z))
0.0b	(* (- 1.0 x) y)
0.2b	(pow (+ (* (- 1.0 x) y) (* x z)) 3)
36.6b	(cbrt (pow (+ (* (- 1.0 x) y) (* x z)) 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) y) (* x z))
7.0ms	(* (- 1.0 x) y)
8.0ms	(pow (+ (* (- 1.0 x) y) (* x z)) 3)
8.0ms	(cbrt (pow (+ (* (- 1.0 x) y) (* x z)) 3))

series54.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+ (* (- 1.0 x) y) (* x z))
5.0ms	(* (- 1.0 x) y)
31.0ms	(pow (+ (* (- 1.0 x) y) (* x z)) 3)
9.0ms	(cbrt (pow (+ (* (- 1.0 x) y) (* x z)) 3))

simplify480.0ms

Counts

93 → 93

Iterations

Useful iterations: 2 (108.0ms)

Iter	Nodes	Cost
0	138	1533
1	373	1301
2	1496	1183
done	5000	1183

prune108.0ms

Filtered

56 candidates to 93 candidates (-66.1%)

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

regimes182.0ms

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

sample734.0ms

Algorithm

intervals

Results

320.0ms

10234×

body

valid

Details

sample26.0ms

simplify2.2s

prune3.0ms

localize6.0ms

rewrite20.0ms

series14.0ms

simplify843.0ms

prune54.0ms

localize9.0ms

rewrite44.0ms

series31.0ms

simplify507.0ms

prune145.0ms

localize10.0ms

rewrite33.0ms

series54.0ms

simplify480.0ms

prune108.0ms

regimes182.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample734.0ms

Profiling