Details

sample35.0ms

Algorithm

intervals

Results

15.0ms

337×

body

valid

simplify1.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	24	9
3	53	9
4	85	9
5	113	9
6	135	9
7	162	9
8	257	9
9	372	9
10	500	9
11	692	9
12	908	9
13	1170	9
14	1419	9
15	1699	9
16	2253	9
17	2909	9
18	4138	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: 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))

series31.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(+ x (* (- y x) (/ z t)))
14.0ms	(* (- y x) (/ z t))

simplify411.0ms

Counts

55 → 55

Iterations

Useful iterations: done (409.0ms)

Iter	Nodes	Cost
0	115	669
1	299	627
2	1094	581
done	5001	557

prune83.0ms

Filtered

39 candidates to 55 candidates (-41.0%)

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

localize13.0ms

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))

rewrite60.0ms

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:

3.0ms	(cbrt (- y x))
12.0ms	(* (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))

series130.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(cbrt (- y x))
33.0ms	(* (cbrt (- y x)) (cbrt (- y x)))
14.0ms	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ z t)))
52.0ms	(* (cbrt (- y x)) (/ z t))

simplify685.0ms

Counts

205 → 205

Iterations

Useful iterations: 2 (252.0ms)

Iter	Nodes	Cost
0	333	4483
1	879	4248
2	2591	3790
done	5000	3790

prune219.0ms

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

localize15.0ms

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))))

rewrite77.0ms

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)
12.0ms	(* (cbrt (- y x)) (cbrt (- y x)))
20.0ms	(* (/ (cbrt (- y x)) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))
31.0ms	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (/ (cbrt (- y x)) (* (cbrt t) (cbrt t))) (/ z (cbrt t))))

series165.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(cbrt t)
36.0ms	(* (cbrt (- y x)) (cbrt (- y x)))
80.0ms	(* (/ (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))))

simplify970.0ms

Counts

223 → 223

Iterations

Useful iterations: 2 (347.0ms)

Iter	Nodes	Cost
0	393	5295
1	1146	5048
2	4285	4049
done	5000	4049

prune256.0ms

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

localize19.0ms

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))))

rewrite216.0ms

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:

15.0ms	(cbrt (* (cbrt (- y x)) (cbrt (- y x))))
13.0ms	(* (cbrt (cbrt (- y x))) (/ z t))
16.0ms	(* (cbrt (* (cbrt (- y x)) (cbrt (- y x)))) (* (cbrt (cbrt (- y x))) (/ z t)))
46.0ms	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (* (cbrt (- y x)) (cbrt (- y x)))) (* (cbrt (cbrt (- y x))) (/ z t))))

series153.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(cbrt (* (cbrt (- y x)) (cbrt (- y x))))
49.0ms	(* (cbrt (cbrt (- y x))) (/ z t))
48.0ms	(* (cbrt (* (cbrt (- y x)) (cbrt (- y x)))) (* (cbrt (cbrt (- y x))) (/ z t)))
22.0ms	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (* (cbrt (- y x)) (cbrt (- y x)))) (* (cbrt (cbrt (- y x))) (/ z t))))

simplify788.0ms

Counts

668 → 668

Iterations

Useful iterations: 1 (370.0ms)

Iter	Nodes	Cost
0	1097	40093
1	3581	38408
done	5000	38408

prune920.0ms

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

regimes525.0ms

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

sample899.0ms

Algorithm

intervals

Results

370.0ms

10699×

body

valid

Details

sample35.0ms

simplify1.1s

prune3.0ms

localize7.0ms

rewrite15.0ms

series31.0ms

simplify411.0ms

prune83.0ms

localize13.0ms

rewrite60.0ms

series130.0ms

simplify685.0ms

prune219.0ms

localize15.0ms

rewrite77.0ms

series165.0ms

simplify970.0ms

prune256.0ms

localize19.0ms

rewrite216.0ms

series153.0ms

simplify788.0ms

prune920.0ms

regimes525.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample899.0ms

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