Details

sample33.0ms

Algorithm

intervals

Results

19.0ms

281×

body

valid

simplify3.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	3220
24	3220
23	3219
22	3167
21	3099
20	3072
19	3053
18	3032
17	2371
16	2069
15	1680
14	1194
13	918
12	691
11	531
10	335
9	174
8	115
7	95
6	77
5	69
4	65
3	43
2	19
1	10
0	6

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* (+ x 1.0) y) x)
0.0b	(* (+ x 1.0) y)

rewrite231.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
11×	`add-sqr-sqrt`
6×	`associate-l`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`associate-r` `distribute-lft-out--`
2×	`associate-*l/` `insert-posit16` `distribute-lft-out` `difference-of-squares` `unswap-sqr`
1×	`sub-neg` `flip3-+` `flip3--` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `flip--`

Counts

2 → 40

Calls

2 calls:

196.0ms	(- (* (+ x 1.0) y) x)
32.0ms	(* (+ x 1.0) y)

series79.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(- (* (+ x 1.0) y) x)
53.0ms	(* (+ x 1.0) y)

simplify2.0s

Counts

46 → 46

Iterations

Iter	Nodes
done	5018
3	2203
2	479
1	166
0	70

prune152.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ x 1.0))
0.0b	(- (* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y)) x)
0.1b	(* (sqrt (+ x 1.0)) y)
0.1b	(* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y))

rewrite965.0ms

Algorithm

rewrite-expression-head

Rules

63×	`add-sqr-sqrt`
28×	`sqrt-prod`
26×	`*-un-lft-identity`
24×	`unswap-sqr`
23×	`associate-r`
22×	`associate-l`
16×	`sqrt-div`
14×	`add-cube-cbrt`
12×	`pow1`
11×	`add-cbrt-cube` `add-exp-log`
10×	`associate-*l/`
8×	`flip3-+` `flip-+`
7×	`difference-of-squares`
6×	`add-log-exp`
4×	`frac-times` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `distribute-lft-out`
3×	`*-commutative`
2×	`associate-*r/` `distribute-lft-out--`
1×	`rem-sqrt-square` `sub-neg` `sqrt-pow1` `flip3--` `pow1/2` `diff-log` `flip--`

Counts

4 → 118

Calls

4 calls:

6.0ms	(sqrt (+ x 1.0))
737.0ms	(- (* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y)) x)
44.0ms	(* (sqrt (+ x 1.0)) y)
173.0ms	(* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y))

series246.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(sqrt (+ x 1.0))
30.0ms	(- (* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y)) x)
113.0ms	(* (sqrt (+ x 1.0)) y)
51.0ms	(* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y))

simplify2.4s

Counts

130 → 130

Iterations

Iter	Nodes
done	5006
3	3878
2	1198
1	421
0	171

prune515.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (+ x 1.0))
0.2b	(cbrt (+ x 1.0))
0.2b	(cbrt (+ x 1.0))
0.2b	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))

rewrite86.0ms

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`
8×	`add-cbrt-cube`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `cbrt-unprod` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 102

Calls

4 calls:

4.0ms	(cbrt (+ x 1.0))
4.0ms	(cbrt (+ x 1.0))
4.0ms	(cbrt (+ x 1.0))
72.0ms	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))

series589.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(cbrt (+ x 1.0))
155.0ms	(cbrt (+ x 1.0))
121.0ms	(cbrt (+ x 1.0))
182.0ms	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))

simplify2.0s

Counts

114 → 114

Iterations

Iter	Nodes
done	5000
3	2117
2	834
1	350
0	144

prune542.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes74.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	8
1	8
0	6

end0.0ms

sample742.0ms

Algorithm

intervals

Results

559.0ms	9093×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid