Details

sample13.0ms

Algorithm

intervals

Results

4.0ms	236×	body	80	valid
1.0ms	9×	body	1280	valid
1.0ms	6×	body	2560	valid
0.0ms	3×	body	640	valid
0.0ms	2×	body	320	valid

simplify112.0ms

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	53	7
7	62	7
8	78	7
9	99	7
10	110	7
11	112	7
12	116	7
13	119	7
done	119	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite17.0ms

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:

16.0ms

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

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

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

simplify1.3s

Counts

21 → 21

Iterations

Useful iterations: 4 (367.0ms)

Iter	Nodes	Cost
0	36	194
1	98	186
2	234	172
3	674	172
4	2651	171
done	5000	171

prune62.0ms

Pruning

5 alts after pruning (5 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))

rewrite85.0ms

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:

80.0ms

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

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

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

simplify817.0ms

Counts

81 → 81

Iterations

Useful iterations: done (813.0ms)

Iter	Nodes	Cost
0	182	2778
1	444	2480
2	1270	1758
done	5000	1743

prune111.0ms

Pruning

5 alts after pruning (4 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)

rewrite10.0ms

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

series830.0ms

Counts

4 → 12

Calls

4 calls:

221.0ms	(* (cbrt x) (cbrt x))
212.0ms	(cbrt x)
197.0ms	(cbrt x)
198.0ms	(cbrt x)

simplify3.2s

Counts

93 → 93

Iterations

Useful iterations: 4 (1.6s)

Iter	Nodes	Cost
0	65	554
1	119	443
2	329	423
3	1180	405
4	3749	400
done	5000	400

prune269.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite79.0ms

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:

56.0ms	(* (cbrt (+ x (/ x 2.0))) (cbrt (+ x (/ x 2.0))))
6.0ms	(cbrt (+ x (/ x 2.0)))
6.0ms	(cbrt (+ x (/ x 2.0)))
6.0ms	(cbrt (+ x (/ x 2.0)))

series964.0ms

Counts

4 → 12

Calls

4 calls:

270.0ms	(* (cbrt (+ x (/ x 2.0))) (cbrt (+ x (/ x 2.0))))
232.0ms	(cbrt (+ x (/ x 2.0)))
224.0ms	(cbrt (+ x (/ x 2.0)))
237.0ms	(cbrt (+ x (/ x 2.0)))

simplify1.9s

Counts

115 → 115

Iterations

Useful iterations: 4 (1.0s)

Iter	Nodes	Cost
0	94	1680
1	183	1527
2	462	1441
3	1218	1312
4	3591	1286
done	5000	1286

prune608.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes61.0ms

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	7	9
1	8	9
done	8	9

end0.0ms

sample308.0ms

Algorithm

intervals

Results

136.0ms	7354×	body	80	valid
18.0ms	233×	body	1280	valid
10.0ms	174×	body	640	valid
8.0ms	86×	body	2560	valid
5.0ms	109×	body	320	valid
1.0ms	46×	body	160	valid