Details

sample29.0ms

Algorithm

intervals

Results

10.0ms	234×	body	80	valid
2.0ms	9×	body	1280	valid
1.0ms	6×	body	640	valid
0.0ms	3×	body	320	valid
0.0ms	4×	body	160	valid
0.0ms	1×	body	2560	valid

simplify231.0ms

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	45	7
6	49	7
7	58	7
8	74	7
9	90	7
10	101	7
11	103	7
12	107	7
13	108	7
done	108	7

prune3.0ms

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 (/ (- x y) 2.0))

rewrite30.0ms

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:

29.0ms

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

series61.0ms

Counts

1 → 3

Calls

1 calls:

60.0ms

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

simplify2.6s

Counts

21 → 21

Iterations

Useful iterations: 4 (1.2s)

Iter	Nodes	Cost
0	36	194
1	98	186
2	263	172
3	750	172
4	3556	171
done	5000	171

prune110.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

76×	`*-un-lft-identity`
52×	`prod-diff`
48×	`add-sqr-sqrt`
43×	`add-cube-cbrt`
37×	`times-frac`
15×	`distribute-lft-out`
6×	`add-log-exp`
4×	`fma-neg` `div-inv`
2×	`diff-log` `frac-sub` `distribute-lft-out--` `difference-of-squares`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `flip3-+` `associate--l+` `sum-log` `add-cbrt-cube` `flip--` `flip-+` `log1p-expm1-u`

Counts

1 → 78

Calls

1 calls:

177.0ms

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

series56.0ms

Counts

1 → 3

Calls

1 calls:

56.0ms

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

simplify4.3s

Counts

81 → 81

Iterations

Useful iterations: 3 (2.1s)

Iter	Nodes	Cost
0	182	2778
1	445	2480
2	1232	1758
3	4925	1305
done	5000	1305

prune136.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

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:

24.0ms	(* (cbrt x) (cbrt x))
2.0ms	(cbrt x)
2.0ms	(cbrt x)
2.0ms	(cbrt x)

series1.1s

Counts

4 → 12

Calls

4 calls:

278.0ms	(* (cbrt x) (cbrt x))
228.0ms	(cbrt x)
325.0ms	(cbrt x)
265.0ms	(cbrt x)

simplify5.0s

Counts

93 → 93

Iterations

Useful iterations: done (5.0s)

Iter	Nodes	Cost
0	65	554
1	119	443
2	327	423
3	1104	405
4	4523	400
done	5001	390

prune266.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
10×	`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 → 58

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
2.0ms	(cbrt (cbrt x))
3.0ms	(cbrt (cbrt x))

series1.2s

Counts

4 → 12

Calls

4 calls:

305.0ms	(cbrt x)
242.0ms	(cbrt x)
330.0ms	(cbrt (cbrt x))
362.0ms	(cbrt (cbrt x))

simplify3.6s

Counts

70 → 70

Iterations

Useful iterations: done (3.5s)

Iter	Nodes	Cost
0	46	374
1	79	356
2	151	328
3	319	316
4	972	316
5	4693	316
done	5000	304

prune254.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes97.0ms

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

sample640.0ms

Algorithm

intervals

Results

303.0ms	7367×	body	80	valid
34.0ms	248×	body	1280	valid
18.0ms	162×	body	640	valid
13.0ms	79×	body	2560	valid
8.0ms	92×	body	320	valid
3.0ms	56×	body	160	valid