Details

sample30.0ms

Algorithm

intervals

Results

11.0ms

337×

body

valid

simplify3.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	24	9
3	52	9
4	83	9
5	107	9
6	129	9
7	152	9
8	193	9
9	259	9
10	345	9
11	382	9
12	433	9
13	468	9
14	504	9
15	594	9
16	826	9
17	1116	9
18	1673	9
19	2171	9
20	2224	9
done	2224	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: 2.4b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
7.3b	(* (- y x) (/ z t))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-r`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-l`
4×	`pow1` `add-log-exp`
2×	`frac-times` `flip3--` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `associate-r/` `div-exp` `pow-prod-down` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 49

Calls

2 calls:

3.0ms	(+ x (* (- y x) (/ z t)))
10.0ms	(* (- y x) (/ z t))

series25.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(+ x (* (- y x) (/ z t)))
13.0ms	(* (- y x) (/ z t))

simplify2.4s

Counts

55 → 55

Iterations

Useful iterations: 3 (1.6s)

Iter	Nodes	Cost
0	115	669
1	297	627
2	1058	581
3	4935	557
done	5000	557

prune83.0ms

Filtered

41 candidates to 55 candidates (-34.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	49	6	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	49	7	56

Merged error: 0.0b

Counts

56 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- y x))
0.5b	(* (cbrt (- y x)) (cbrt (- y x)))
3.3b	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ z t)))
4.2b	(* (cbrt (- y x)) (/ z t))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

126×	`cbrt-div`
88×	`frac-times`
63×	`flip3--` `flip--`
52×	`add-sqr-sqrt`
42×	`associate-*l/`
40×	`cbrt-prod` `*-un-lft-identity`
32×	`add-exp-log`
29×	`associate-*r/`
25×	`pow1`
22×	`add-cube-cbrt` `associate-r`
18×	`add-cbrt-cube`
17×	`associate-l`
16×	`prod-exp` `cbrt-unprod`
11×	`times-frac` `pow-prod-down`
10×	`swap-sqr`
8×	`distribute-lft-out--` `unswap-sqr`
7×	`pow1/3`
6×	`difference-of-squares`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp` `*-commutative`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `div-inv`

Counts

4 → 193

Calls

4 calls:

4.0ms	(cbrt (- y x))
11.0ms	(* (cbrt (- y x)) (cbrt (- y x)))
21.0ms	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ z t)))
11.0ms	(* (cbrt (- y x)) (/ z t))

series126.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(cbrt (- y x))
33.0ms	(* (cbrt (- y x)) (cbrt (- y x)))
13.0ms	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ z t)))
50.0ms	(* (cbrt (- y x)) (/ z t))

simplify892.0ms

Counts

205 → 205

Iterations

Useful iterations: 2 (321.0ms)

Iter	Nodes	Cost
0	333	4483
1	866	4236
2	2472	3790
done	5000	3790

prune214.0ms

Filtered

127 candidates to 205 candidates (-61.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	203	2	205
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	204	8	212

Merged error: 0.0b

Counts

212 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt t)
0.5b	(* (cbrt (- y x)) (cbrt (- y x)))
0.5b	(* (/ (cbrt (- y x)) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
3.3b	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (/ (cbrt (- y x)) (* (cbrt t) (cbrt t))) (/ z (cbrt t))))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

92×	`add-exp-log`
71×	`add-sqr-sqrt`
60×	`cbrt-div`
54×	`frac-times`
51×	`cbrt-prod`
46×	`prod-exp` `cbrt-unprod`
45×	`*-un-lft-identity`
43×	`add-cbrt-cube`
38×	`times-frac`
31×	`associate-r`
30×	`flip3--` `flip--`
29×	`add-cube-cbrt`
28×	`associate-*l/`
25×	`pow1`
23×	`associate-*r/`
21×	`cbrt-undiv` `div-exp` `associate-l`
13×	`unswap-sqr`
11×	`pow-prod-down`
10×	`swap-sqr`
7×	`pow1/3` `distribute-lft-out--`
5×	`difference-of-squares`
4×	`add-log-exp`
3×	`*-commutative`
2×	`pow-sqr` `pow-prod-up` `div-inv`
1×	`pow2` `pow-plus`

Counts

4 → 211

Calls

4 calls:

1.0ms	(cbrt t)
11.0ms	(* (cbrt (- y x)) (cbrt (- y x)))
19.0ms	(* (/ (cbrt (- y x)) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
28.0ms	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (/ (cbrt (- y x)) (* (cbrt t) (cbrt t))) (/ z (cbrt t))))

series158.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt t)
35.0ms	(* (cbrt (- y x)) (cbrt (- y x)))
77.0ms	(* (/ (cbrt (- y x)) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
24.0ms	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (/ (cbrt (- y x)) (* (cbrt t) (cbrt t))) (/ z (cbrt t))))

simplify1.2s

Counts

223 → 223

Iterations

Useful iterations: 2 (432.0ms)

Iter	Nodes	Cost
0	393	5295
1	1138	5030
2	3840	4049
done	5001	4049

prune254.0ms

Filtered

152 candidates to 223 candidates (-46.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	222	1	223
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	222	9	231

Merged error: 0.0b

Counts

231 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* (cbrt (- y x)) (cbrt (- y x))))
1.5b	(* (cbrt (cbrt (- y x))) (/ z t))
2.8b	(* (cbrt (* (cbrt (- y x)) (cbrt (- y x)))) (* (cbrt (cbrt (- y x))) (/ z t)))
3.3b	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (* (cbrt (- y x)) (cbrt (- y x)))) (* (cbrt (cbrt (- y x))) (/ z t))))

rewrite211.0ms

Algorithm

rewrite-expression-head

Rules

2596×	`cbrt-div`
1466×	`frac-times`
872×	`flip3--` `flip--`
500×	`associate-*l/`
424×	`associate-*r/`
50×	`add-exp-log`
32×	`pow1` `add-sqr-sqrt`
29×	`prod-exp` `cbrt-unprod`
25×	`add-cbrt-cube`
21×	`cbrt-prod`
19×	`pow-prod-down`
17×	`*-un-lft-identity`
16×	`associate-l`
15×	`add-cube-cbrt` `associate-r`
12×	`times-frac`
6×	`unswap-sqr`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`*-commutative`
1×	`pow1/3` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 656

Calls

4 calls:

9.0ms	(cbrt (* (cbrt (- y x)) (cbrt (- y x))))
12.0ms	(* (cbrt (cbrt (- y x))) (/ z t))
17.0ms	(* (cbrt (* (cbrt (- y x)) (cbrt (- y x)))) (* (cbrt (cbrt (- y x))) (/ z t)))
45.0ms	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (* (cbrt (- y x)) (cbrt (- y x)))) (* (cbrt (cbrt (- y x))) (/ z t))))

series145.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(cbrt (* (cbrt (- y x)) (cbrt (- y x))))
45.0ms	(* (cbrt (cbrt (- y x))) (/ z t))
52.0ms	(* (cbrt (* (cbrt (- y x)) (cbrt (- y x)))) (* (cbrt (cbrt (- y x))) (/ z t)))
13.0ms	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (* (cbrt (- y x)) (cbrt (- y x)))) (* (cbrt (cbrt (- y x))) (/ z t))))

simplify828.0ms

Counts

668 → 668

Iterations

Useful iterations: 1 (383.0ms)

Iter	Nodes	Cost
0	1097	40093
1	2994	38408
done	5000	38408

prune898.0ms

Filtered

352 candidates to 668 candidates (-89.8%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	668	0	668
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	668	9	677

Merged error: 0.0b

Counts

677 → 9

regimes508.0ms

Accuracy

0% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 1.9b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	27
1	17	27
done	17	27

end0.0ms

sample883.0ms

Algorithm

intervals

Results

359.0ms

10699×

body

valid

Details

sample30.0ms

simplify3.6s

prune3.0ms

localize7.0ms

rewrite15.0ms

series25.0ms

simplify2.4s

prune83.0ms

localize11.0ms

rewrite59.0ms

series126.0ms

simplify892.0ms

prune214.0ms

localize18.0ms

rewrite72.0ms

series158.0ms

simplify1.2s

prune254.0ms

localize16.0ms

rewrite211.0ms

series145.0ms

simplify828.0ms

prune898.0ms

regimes508.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample883.0ms

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