Details

sample29.0ms

Algorithm

intervals

Results

13.0ms

339×

body

valid

simplify3.2s

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	850	7
17	1129	7
18	1321	7
19	1559	7
20	1756	7
21	1839	7
22	1931	7
23	2012	7
24	2107	7
25	2185	7
26	2278	7
27	2359	7
28	2451	7
29	2530	7
30	2622	7
31	2701	7
32	2796	7
33	2875	7
34	2967	7
35	3046	7
36	3138	7
37	3217	7
38	3309	7
39	3388	7
40	3483	7
41	3564	7
42	3657	7
43	3736	7
44	3829	7
45	3910	7
46	4002	7
47	4081	7
48	4173	7
49	4252	7
50	4347	7
51	4426	7
52	4518	7
53	4597	7
54	4689	7
55	4768	7
56	4860	7
57	4939	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

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-r`
4×	`pow1` `add-exp-log` `distribute-rgt-in` `add-cube-cbrt` `sub-neg` `associate-+r+` `distribute-lft-in` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`associate-*r/`
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 → 41

Calls

2 calls:

8.0ms	(* y (- z x))
6.0ms	(+ x (* y (- z x)))

series31.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(* y (- z x))
22.0ms	(+ x (* y (- z x)))

simplify904.0ms

Counts

47 → 47

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	72	409
1	179	375
2	553	351
3	1848	351
done	5001	351

prune56.0ms

Filtered

29 candidates to 47 candidates (-62.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	44	3	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	4	48

Merged error: 0b

Counts

48 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- z x)) (cbrt (- z x)))
0.5b	(cbrt (- z x))
0.5b	(cbrt (- z x))
0.5b	(cbrt (- z x))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

16.0ms	(* (cbrt (- z x)) (cbrt (- z x)))
4.0ms	(cbrt (- z x))
3.0ms	(cbrt (- z x))
4.0ms	(cbrt (- z x))

series128.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (cbrt (- z x)) (cbrt (- z x)))
29.0ms	(cbrt (- z x))
29.0ms	(cbrt (- z x))
32.0ms	(cbrt (- z x))

simplify537.0ms

Counts

113 → 113

Iterations

Useful iterations: 3 (215.0ms)

Iter	Nodes	Cost
0	145	1432
1	290	1325
2	783	1234
3	2229	1108
done	5000	1108

prune123.0ms

Filtered

78 candidates to 113 candidates (-44.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	113	4	117

Merged error: 0b

Counts

117 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (- z x))
0.0b	(+ x (cbrt (pow (* y (- z x)) 3)))
0.3b	(pow (* y (- z x)) 3)
33.8b	(cbrt (pow (* y (- z x)) 3))

rewrite24.0ms

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-*r/` `add-log-exp`
5×	`associate-r`
4×	`cube-div`
3×	`pow-unpow` `flip3--` `associate-l` `flip--`
2×	`distribute-rgt-in` `cube-mult` `sub-neg` `unpow-prod-down` `cbrt-div` `pow-pow` `distribute-lft-in` `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 → 81

Calls

4 calls:

7.0ms	(* y (- z x))
5.0ms	(+ x (cbrt (pow (* y (- z x)) 3)))
7.0ms	(pow (* y (- z x)) 3)
3.0ms	(cbrt (pow (* y (- z x)) 3))

series46.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(* y (- z x))
12.0ms	(+ x (cbrt (pow (* y (- z x)) 3)))
14.0ms	(pow (* y (- z x)) 3)
12.0ms	(cbrt (pow (* y (- z x)) 3))

simplify457.0ms

Counts

93 → 93

Iterations

Useful iterations: done (455.0ms)

Iter	Nodes	Cost
0	140	1047
1	345	831
2	1275	779
done	5001	761

prune104.0ms

Filtered

65 candidates to 93 candidates (-43.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	93	4	97

Merged error: 0b

Counts

97 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
16×	`-un-lft-identity` `sqrt-div` `associate-r*` `sqrt-prod`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `associate-*r/`
8×	`flip3--` `flip--`
6×	`add-log-exp`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`associate-l/` `-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 (- z x))
3.0ms	(+ x (* (* y (sqrt (- z x))) (sqrt (- z x))))
11.0ms	(* y (sqrt (- z x)))
14.0ms	(* (* y (sqrt (- z x))) (sqrt (- z x)))

series44.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(sqrt (- z x))
8.0ms	(+ x (* (* y (sqrt (- z x))) (sqrt (- z x))))
18.0ms	(* y (sqrt (- z x)))
8.0ms	(* (* y (sqrt (- z x))) (sqrt (- z x)))

simplify473.0ms

Counts

97 → 97

Iterations

Useful iterations: done (470.0ms)

Iter	Nodes	Cost
0	153	1351
1	397	1023
2	1373	935
done	5000	925

prune81.0ms

Filtered

64 candidates to 97 candidates (-51.6%)

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: 0b

Counts

101 → 4

regimes198.0ms

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

sample656.0ms

Algorithm

intervals

Results

257.0ms

10203×

body

valid

Details

sample29.0ms

simplify3.2s

prune3.0ms

localize6.0ms

rewrite15.0ms

series31.0ms

simplify904.0ms

prune56.0ms

localize9.0ms

rewrite30.0ms

series128.0ms

simplify537.0ms

prune123.0ms

localize8.0ms

rewrite24.0ms

series46.0ms

simplify457.0ms

prune104.0ms

localize8.0ms

rewrite34.0ms

series44.0ms

simplify473.0ms

prune81.0ms

regimes198.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample656.0ms

Profiling