Details

sample22.0ms

Algorithm

intervals

Results

8.0ms

292×

body

valid

simplify14.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
14	3342
13	2129
12	1452
11	1001
10	545
9	184
8	119
7	99
6	81
5	73
4	65
3	43
2	19
1	10
0	6

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite70.0ms

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:

41.0ms	(* (+ x 1.0) y)
27.0ms	(- (* (+ x 1.0) y) x)

series91.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(* (+ x 1.0) y)
40.0ms	(- (* (+ x 1.0) y) x)

simplify4.3s

Counts

39 → 39

Iterations

Iter	Nodes
done	5002
3	1898
2	447
1	154
0	63

prune761.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize205.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (* (+ x 1.0) y) x)) (cbrt (- (* (+ x 1.0) y) x)))
0.6b	(cbrt (- (* (+ x 1.0) y) x))
0.6b	(cbrt (- (* (+ x 1.0) y) x))
0.6b	(cbrt (- (* (+ x 1.0) y) x))

rewrite318.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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 → 87

Calls

4 calls:

234.0ms	(* (cbrt (- (* (+ x 1.0) y) x)) (cbrt (- (* (+ x 1.0) y) x)))
21.0ms	(cbrt (- (* (+ x 1.0) y) x))
29.0ms	(cbrt (- (* (+ x 1.0) y) x))
28.0ms	(cbrt (- (* (+ x 1.0) y) x))

series1.4s

Counts

4 → 12

Calls

4 calls:

345.0ms	(* (cbrt (- (* (+ x 1.0) y) x)) (cbrt (- (* (+ x 1.0) y) x)))
411.0ms	(cbrt (- (* (+ x 1.0) y) x))
286.0ms	(cbrt (- (* (+ x 1.0) y) x))
356.0ms	(cbrt (- (* (+ x 1.0) y) x))

simplify5.4s

Counts

99 → 99

Iterations

Iter	Nodes
done	5022
3	2743
2	951
1	379
0	153

prune1.5s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize27.0ms

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))

rewrite288.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity` `sqrt-div`
15×	`add-sqr-sqrt`
14×	`associate-l`
13×	`sqrt-prod`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `associate-*l/`
8×	`flip3-+` `flip-+`
6×	`add-log-exp`
4×	`frac-times` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`distribute-lft-out`
2×	`associate-r/` `-commutative` `unswap-sqr`
1×	`sub-neg` `rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `diff-log` `flip--`

Counts

4 → 83

Calls

4 calls:

17.0ms	(sqrt (+ x 1.0))
102.0ms	(- (* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y)) x)
56.0ms	(* (sqrt (+ x 1.0)) y)
106.0ms	(* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y))

series657.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(sqrt (+ x 1.0))
46.0ms	(- (* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y)) x)
403.0ms	(* (sqrt (+ x 1.0)) y)
58.0ms	(* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y))

simplify8.2s

Counts

95 → 95

Iterations

Iter	Nodes
done	5021
3	3673
2	1022
1	365
0	148

prune1.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

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

rewrite548.0ms

Algorithm

rewrite-expression-head

Rules

114×	`sqrt-div`
39×	`sqrt-prod`
36×	`associate-*l/`
35×	`flip3-+` `flip-+`
32×	`frac-times`
27×	`associate-l`
23×	`*-un-lft-identity`
22×	`pow1`
21×	`add-sqr-sqrt`
20×	`add-exp-log` `add-cbrt-cube`
16×	`associate-*r/`
15×	`add-cube-cbrt`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`associate-r`
4×	`sqrt-pow1` `distribute-lft-out` `add-log-exp`
3×	`*-commutative`
2×	`rem-sqrt-square` `pow1/2` `unswap-sqr`

Counts

4 → 134

Calls

4 calls:

16.0ms	(sqrt (sqrt (+ x 1.0)))
41.0ms	(* (sqrt (+ x 1.0)) y)
316.0ms	(* (sqrt (sqrt (+ x 1.0))) (* (sqrt (sqrt (+ x 1.0))) (* (sqrt (+ x 1.0)) y)))
155.0ms	(* (sqrt (sqrt (+ x 1.0))) (* (sqrt (+ x 1.0)) y))

series948.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(sqrt (sqrt (+ x 1.0)))
155.0ms	(* (sqrt (+ x 1.0)) y)
57.0ms	(* (sqrt (sqrt (+ x 1.0))) (* (sqrt (sqrt (+ x 1.0))) (* (sqrt (+ x 1.0)) y)))
579.0ms	(* (sqrt (sqrt (+ x 1.0))) (* (sqrt (+ x 1.0)) y))

simplify4.9s

Counts

146 → 146

Iterations

Iter	Nodes
done	5000
2	2106
1	683
0	265

prune1.8s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes406.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	8
1	8
0	6

end0.0ms

sample4.5s

Algorithm

intervals

Results

4.2s	9114×	body	80	valid
0.0ms	1×	body	1280	valid