Details

sample30.0ms

Algorithm

intervals

Results

14.0ms	232×	body	80	valid
2.0ms	12×	body	1280	valid
0.0ms	3×	body	2560	valid
0.0ms	4×	body	640	valid
0.0ms	5×	body	160	valid

simplify4.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	12	7
2	19	7
3	29	7
4	40	7
5	94	7
6	206	7
7	486	7
8	1272	7
9	4324	7
done	5000	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (/ (- x y) 2.0))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

4×	`*-un-lft-identity`
3×	`fma-def` `add-log-exp`
2×	`add-sqr-sqrt` `add-cube-cbrt`
1×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `associate-+r-` `flip3-+` `div-sub` `sum-log` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out`

Counts

1 → 18

Calls

1 calls:

32.0ms

(+ x (/ (- x y) 2.0))

series52.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

(+ x (/ (- x y) 2.0))

simplify2.1s

Counts

21 → 21

Iterations

Useful iterations: 4 (958.0ms)

Iter	Nodes	Cost
0	36	194
1	98	186
2	269	172
3	872	172
4	4342	171
done	5000	171

prune54.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `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 → 81

Calls

4 calls:

11.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series914.0ms

Counts

4 → 12

Calls

4 calls:

216.0ms	(* (cbrt x) (cbrt x))
215.0ms	(cbrt x)
270.0ms	(cbrt x)
212.0ms	(cbrt x)

simplify1.1s

Counts

93 → 93

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	65	554
1	143	443
2	719	423
done	5000	409

prune232.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt (* (cbrt x) (cbrt x)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 50

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
5.0ms	(cbrt (* (cbrt x) (cbrt x)))

series1.3s

Counts

4 → 12

Calls

4 calls:

540.0ms	(cbrt x)
276.0ms	(cbrt x)
216.0ms	(cbrt x)
310.0ms	(cbrt (* (cbrt x) (cbrt x)))

simplify1.5s

Counts

62 → 62

Iterations

Useful iterations: 3 (166.0ms)

Iter	Nodes	Cost
0	46	323
1	89	310
2	238	260
3	790	248
4	2733	248
done	5001	248

prune378.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
0.6b	(cbrt (+ x (/ (- x y) 2.0)))
0.6b	(cbrt (+ x (/ (- x y) 2.0)))
0.6b	(cbrt (+ x (/ (- x y) 2.0)))

rewrite323.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `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 → 103

Calls

4 calls:

244.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
30.0ms	(cbrt (+ x (/ (- x y) 2.0)))
21.0ms	(cbrt (+ x (/ (- x y) 2.0)))
24.0ms	(cbrt (+ x (/ (- x y) 2.0)))

series2.2s

Counts

4 → 12

Calls

4 calls:

555.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
533.0ms	(cbrt (+ x (/ (- x y) 2.0)))
589.0ms	(cbrt (+ x (/ (- x y) 2.0)))
571.0ms	(cbrt (+ x (/ (- x y) 2.0)))

simplify5.3s

Counts

115 → 115

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	133	2214
1	292	2042
2	911	1923
3	4569	1725
done	5000	1725

prune442.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes136.0ms

Accuracy

0% (0.1b 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	6	7
1	7	7
done	7	7

end0.0ms

sample624.0ms

Algorithm

intervals

Results

307.0ms	7390×	body	80	valid
25.0ms	214×	body	1280	valid
16.0ms	168×	body	640	valid
14.0ms	95×	body	2560	valid
6.0ms	81×	body	320	valid
3.0ms	54×	body	160	valid