Details

sample17.0ms

Algorithm

intervals

Results

8.0ms	236×	body	80	valid
1.0ms	7×	body	1280	valid
0.0ms	7×	body	640	valid
0.0ms	4×	body	320	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	160	valid

simplify26.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	7
1	12	7
2	24	7
3	35	7
4	42	7
5	48	7
6	51	7
done	51	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (* (/ 3.0 8.0) y))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 12

Calls

1 calls:

2.0ms

(- x (* (/ 3.0 8.0) y))

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

(- x (* (/ 3.0 8.0) y))

simplify1.6s

Counts

15 → 15

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	32	172
1	81	165
2	254	151
3	910	151
4	3248	151
done	5000	151

prune33.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.5b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.5b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.5b	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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 → 87

Calls

4 calls:

2.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
2.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
2.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
18.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))

series1.2s

Counts

4 → 12

Calls

4 calls:

310.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
307.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
320.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
282.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))

simplify1.0s

Counts

99 → 99

Iterations

Useful iterations: 3 (327.0ms)

Iter	Nodes	Cost
0	119	1968
1	238	1825
2	665	1711
3	2039	1540
done	5001	1540

prune279.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
0.6b	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
0.6b	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
0.6b	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

rewrite252.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
26×	`add-sqr-sqrt`
24×	`cbrt-div`
18×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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 → 96

Calls

4 calls:

15.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
229.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
2.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
2.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

series1.2s

Counts

4 → 12

Calls

4 calls:

275.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
305.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
305.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
298.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

simplify1.1s

Counts

108 → 108

Iterations

Useful iterations: 3 (334.0ms)

Iter	Nodes	Cost
0	135	2211
1	258	2062
2	681	1942
3	1999	1777
done	5000	1777

prune363.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
0.6b	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
0.6b	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
0.6b	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
16×	`cbrt-div`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `add-log-exp`

Counts

4 → 64

Calls

4 calls:

2.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
2.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
2.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
2.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

series1.2s

Counts

4 → 12

Calls

4 calls:

312.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
311.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
311.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
309.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

simplify1.6s

Counts

76 → 76

Iterations

Useful iterations: 4 (717.0ms)

Iter	Nodes	Cost
0	76	1300
1	150	1264
2	365	1192
3	1063	1164
4	3341	1104
done	5001	1104

prune308.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0.0b

regimes165.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	8	7
done	8	7

end0.0ms

sample323.0ms

Algorithm

intervals

Results

150.0ms	7392×	body	80	valid
19.0ms	215×	body	1280	valid
10.0ms	153×	body	640	valid
10.0ms	94×	body	2560	valid
5.0ms	97×	body	320	valid
2.0ms	49×	body	160	valid