Details

sample23.0ms

Algorithm

intervals

Results

7.0ms	236×	body	80	valid
1.0ms	8×	body	1280	valid
1.0ms	4×	body	2560	valid
0.0ms	4×	body	640	valid
0.0ms	3×	body	320	valid
0.0ms	1×	body	160	valid

simplify90.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	124
1	12	124
2	25	124
3	38	124
4	45	124
5	51	124
6	57	124
7	59	124
done	59	124

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `*-un-lft-identity` `fma-neg` `prod-diff` `add-cube-cbrt` `add-log-exp`
1×	`expm1-log1p-u` `pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `log1p-expm1-u` `flip--`

Counts

1 → 20

Calls

1 calls:

8.0ms

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

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

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

simplify1.4s

Counts

23 → 23

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	45	5293
1	108	4852
2	436	4661
3	2402	4541
done	5000	4015

prune110.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize34.0ms

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

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

3.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
2.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
3.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
44.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))

series1.3s

Counts

4 → 12

Calls

4 calls:

323.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
316.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
351.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
302.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))

simplify1.4s

Counts

107 → 107

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	123	41549
1	267	37667
2	864	37542
done	5000	36457

prune627.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

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

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-div`
23×	`cbrt-prod`
22×	`add-sqr-sqrt`
14×	`*-un-lft-identity` `flip3--` `add-cube-cbrt` `flip--`
11×	`pow1`
9×	`pow1/3`
8×	`frac-times`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `associate-l/` `associate-r/` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 99

Calls

4 calls:

3.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
4.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
14.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
24.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))

series1.2s

Counts

4 → 12

Calls

4 calls:

297.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
392.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
290.0ms	(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
260.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))

simplify1.3s

Counts

111 → 111

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	160	49478
1	331	44132
2	1001	43932
done	5001	42957

prune777.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize54.0ms

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)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `cbrt-div` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `flip3--` `add-cbrt-cube` `pow1/3` `add-exp-log` `log1p-expm1-u` `flip--` `add-log-exp`

Counts

4 → 60

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

series1.5s

Counts

4 → 12

Calls

4 calls:

350.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
360.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
384.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
367.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

simplify1.5s

Counts

72 → 72

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	66	26628
1	142	25004
2	387	24904
3	1345	23724
done	5000	22168

prune431.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

regimes437.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	124
1	8	124
done	8	124

end0.0ms

sample582.0ms

Algorithm

intervals

Results

268.0ms	7395×	body	80	valid
55.0ms	202×	body	1280	valid
51.0ms	144×	body	640	valid
17.0ms	102×	body	2560	valid
8.0ms	100×	body	320	valid
3.0ms	57×	body	160	valid