Details

sample13.0ms

Algorithm

intervals

Results

4.0ms	234×	body	80	valid
1.0ms	8×	body	1280	valid
1.0ms	9×	body	640	valid
0.0ms	4×	body	160	valid
0.0ms	1×	body	2560	valid

simplify87.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	12	7
2	19	7
3	29	7
4	39	7
5	48	7
6	60	7
7	83	7
8	103	7
9	118	7
10	124	7
11	127	7
done	127	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

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:

13.0ms

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

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

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

simplify992.0ms

Counts

21 → 21

Iterations

Useful iterations: 4 (276.0ms)

Iter	Nodes	Cost
0	36	194
1	98	186
2	234	172
3	684	172
4	2699	171
done	5001	171

prune57.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite76.0ms

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:

71.0ms

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

series45.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

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

simplify536.0ms

Counts

81 → 81

Iterations

Useful iterations: done (527.0ms)

Iter	Nodes	Cost
0	182	2778
1	444	2480
2	1285	1758
done	5000	1743

prune112.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

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)

rewrite12.0ms

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:

6.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
3.0ms	(cbrt x)
1.0ms	(cbrt x)

series797.0ms

Counts

4 → 12

Calls

4 calls:

218.0ms	(* (cbrt x) (cbrt x))
199.0ms	(cbrt x)
189.0ms	(cbrt x)
191.0ms	(cbrt x)

simplify1.5s

Counts

93 → 93

Iterations

Useful iterations: 3 (349.0ms)

Iter	Nodes	Cost
0	65	554
1	119	443
2	383	423
3	1868	405
done	5000	405

prune250.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
11×	`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 → 61

Calls

4 calls:

0.0ms	(cbrt x)
1.0ms	(cbrt (cbrt x))
4.0ms	(cbrt (cbrt x))
1.0ms	(cbrt (cbrt x))

series1.0s

Counts

4 → 12

Calls

4 calls:

207.0ms	(cbrt x)
270.0ms	(cbrt (cbrt x))
269.0ms	(cbrt (cbrt x))
267.0ms	(cbrt (cbrt x))

simplify559.0ms

Counts

73 → 73

Iterations

Useful iterations: 3 (60.0ms)

Iter	Nodes	Cost
0	46	419
1	79	400
2	151	370
3	335	358
4	1129	358
done	5001	358

prune252.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes61.0ms

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	9
1	8	9
done	8	9

end0.0ms

sample320.0ms

Algorithm

intervals

Results

142.0ms	7409×	body	80	valid
19.0ms	148×	body	640	valid
17.0ms	202×	body	1280	valid
9.0ms	90×	body	2560	valid
5.0ms	99×	body	320	valid
2.0ms	56×	body	160	valid