Details

sample16.0ms

Algorithm

intervals

Results

5.0ms	236×	body	80	valid
1.0ms	9×	body	1280	valid
0.0ms	5×	body	640	valid
0.0ms	2×	body	2560	valid
0.0ms	3×	body	320	valid
0.0ms	1×	body	160	valid

simplify5.7s

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

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite36.0ms

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:

35.0ms

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

series58.0ms

Counts

1 → 3

Calls

1 calls:

58.0ms

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

simplify2.9s

Counts

21 → 21

Iterations

Useful iterations: 4 (1.3s)

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

prune98.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite186.0ms

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:

181.0ms

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

series54.0ms

Counts

1 → 3

Calls

1 calls:

54.0ms

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

simplify2.7s

Counts

81 → 81

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	182	2778
1	469	2488
2	1846	1818
done	5000	1326

prune139.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

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)

rewrite25.0ms

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:

18.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
2.0ms	(cbrt x)
2.0ms	(cbrt x)

series1.2s

Counts

4 → 12

Calls

4 calls:

330.0ms	(* (cbrt x) (cbrt x))
308.0ms	(cbrt x)
296.0ms	(cbrt x)
298.0ms	(cbrt x)

simplify1.2s

Counts

93 → 93

Iterations

Useful iterations: done (1.2s)

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

prune360.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite166.0ms

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:

124.0ms	(* (cbrt (+ x (/ x 2.0))) (cbrt (+ x (/ x 2.0))))
16.0ms	(cbrt (+ x (/ x 2.0)))
9.0ms	(cbrt (+ x (/ x 2.0)))
10.0ms	(cbrt (+ x (/ x 2.0)))

series1.4s

Counts

4 → 12

Calls

4 calls:

357.0ms	(* (cbrt (+ x (/ x 2.0))) (cbrt (+ x (/ x 2.0))))
321.0ms	(cbrt (+ x (/ x 2.0)))
349.0ms	(cbrt (+ x (/ x 2.0)))
371.0ms	(cbrt (+ x (/ x 2.0)))

simplify1.1s

Counts

115 → 115

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	94	1680
1	214	1527
2	858	1441
done	5000	1368

prune537.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes90.0ms

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

sample740.0ms

Algorithm

intervals

Results

367.0ms	7370×	body	80	valid
35.0ms	235×	body	1280	valid
20.0ms	176×	body	640	valid
16.0ms	89×	body	2560	valid
8.0ms	92×	body	320	valid
2.0ms	40×	body	160	valid