Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

284×

body

valid

simplify1.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	10	7
2	19	7
3	31	7
4	37	7
5	41	7
6	49	7
7	69	7
8	103	7
9	178	7
10	210	7
11	247	7
12	277	7
13	334	7
14	500	7
15	590	7
16	742	7
17	750	7
done	750	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

5.0ms	(- (* (+ x 1.0) y) x)
10.0ms	(* (+ x 1.0) y)

series54.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(- (* (+ x 1.0) y) x)
33.0ms	(* (+ x 1.0) y)

simplify1.3s

Counts

39 → 39

Iterations

Useful iterations: 3 (328.0ms)

Iter	Nodes	Cost
0	63	360
1	149	332
2	499	308
3	1903	304
done	5000	304

prune66.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

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)))

rewrite32.0ms

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×	`frac-times` `add-cbrt-cube` `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 → 95

Calls

4 calls:

2.0ms	(cbrt (+ x 1.0))
2.0ms	(cbrt (+ x 1.0))
2.0ms	(cbrt (+ x 1.0))
22.0ms	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))

series393.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(cbrt (+ x 1.0))
94.0ms	(cbrt (+ x 1.0))
96.0ms	(cbrt (+ x 1.0))
110.0ms	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))

simplify938.0ms

Counts

107 → 107

Iterations

Useful iterations: 3 (349.0ms)

Iter	Nodes	Cost
0	139	1485
1	308	1358
2	806	1288
3	2254	1148
done	5001	1148

prune281.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x 1.0) y)
0.0b	(sqrt (* (+ x 1.0) y))
0.0b	(sqrt (* (+ x 1.0) y))
0.3b	(* (sqrt (* (+ x 1.0) y)) (sqrt (* (+ x 1.0) y)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*l/`
16×	`sqrt-div`
14×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `pow1/2`
10×	`add-cube-cbrt` `pow-prod-up`
9×	`flip3-+` `flip-+`
8×	`add-exp-log` `associate-l` `add-cbrt-cube`
7×	`associate-r`
6×	`sqrt-prod` `pow-sqr`
4×	`frac-times` `swap-sqr` `add-log-exp`
2×	`associate-r/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `distribute-lft-out`

Counts

4 → 104

Calls

4 calls:

9.0ms	(* (+ x 1.0) y)
3.0ms	(sqrt (* (+ x 1.0) y))
3.0ms	(sqrt (* (+ x 1.0) y))
30.0ms	(* (sqrt (* (+ x 1.0) y)) (sqrt (* (+ x 1.0) y)))

series289.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (+ x 1.0) y)
95.0ms	(sqrt (* (+ x 1.0) y))
97.0ms	(sqrt (* (+ x 1.0) y))
68.0ms	(* (sqrt (* (+ x 1.0) y)) (sqrt (* (+ x 1.0) y)))

simplify2.4s

Counts

116 → 116

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	124	1352
1	259	1000
2	848	918
3	3736	892
done	5000	886

prune205.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes46.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	8	7
done	8	7

end0.0ms

sample311.0ms

Algorithm

intervals

Results

164.0ms	9087×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid