Details

sample81.0ms

Algorithm

intervals

Results

22.0ms	298×	body	80	nan
21.0ms	265×	body	80	valid

simplify3.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	14
1	24	14
2	47	14
3	73	14
4	96	14
5	130	14
6	193	14
7	445	14
8	1118	14
9	4485	14
done	5001	14

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (/ 1.0 (* x 9.0)))
0.2b	(/ y (* 3.0 (sqrt x)))
0.3b	(* 3.0 (sqrt x))
0.5b	(/ 1.0 (* x 9.0))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
16×	`add-exp-log` `add-cbrt-cube`
13×	`*-un-lft-identity`
11×	`add-cube-cbrt`
6×	`pow1` `times-frac` `associate-r` `associate-/l*` `add-log-exp`
4×	`cbrt-undiv` `div-exp` `sqrt-prod`
3×	`associate-l` `prod-exp` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/r*` `div-inv` `unswap-sqr`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `*-commutative` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 78

Calls

4 calls:

20.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
17.0ms	(/ y (* 3.0 (sqrt x)))
18.0ms	(* 3.0 (sqrt x))
14.0ms	(/ 1.0 (* x 9.0))

series278.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
107.0ms	(/ y (* 3.0 (sqrt x)))
69.0ms	(* 3.0 (sqrt x))
42.0ms	(/ 1.0 (* x 9.0))

simplify1.8s

Counts

90 → 90

Iterations

Useful iterations: 2 (412.0ms)

Iter	Nodes	Cost
0	186	843
1	439	777
2	1932	697
done	5000	697

prune647.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (/ 1.0 (* x 9.0)))
0.0b	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
0.4b	(/ (/ y 3.0) (sqrt x))
0.5b	(/ 1.0 (* x 9.0))

rewrite337.0ms

Algorithm

rewrite-expression-head

Rules

150×	`times-frac`
101×	`add-sqr-sqrt`
90×	`*-un-lft-identity`
83×	`add-cube-cbrt`
44×	`sqrt-prod`
16×	`associate-/l*`
14×	`add-exp-log` `add-cbrt-cube`
11×	`add-log-exp`
9×	`div-inv`
7×	`associate-/r*`
6×	`difference-of-squares`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `diff-log` `distribute-lft-out--`
3×	`sub-neg` `flip3--` `flip--`
2×	`frac-2neg` `associate--l+` `clear-num` `frac-sub`
1×	`associate--l-` `prod-exp` `cbrt-unprod` `associate-/l/`

Counts

4 → 172

Calls

4 calls:

21.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
255.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
26.0ms	(/ (/ y 3.0) (sqrt x))
20.0ms	(/ 1.0 (* x 9.0))

series298.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
96.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
115.0ms	(/ (/ y 3.0) (sqrt x))
34.0ms	(/ 1.0 (* x 9.0))

simplify2.0s

Counts

184 → 184

Iterations

Useful iterations: 2 (715.0ms)

Iter	Nodes	Cost
0	336	2819
1	810	2578
2	3485	2500
done	5000	2500

prune1.1s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (/ 1.0 (* x 9.0)))
0.3b	(/ (sqrt x) (/ y 3.0))
0.5b	(/ 1.0 (* x 9.0))
0.5b	(/ 1 (/ (sqrt x) (/ y 3.0)))

rewrite192.0ms

Algorithm

rewrite-expression-head

Rules

921×	`times-frac`
445×	`add-sqr-sqrt` `*-un-lft-identity`
443×	`add-cube-cbrt`
198×	`sqrt-prod`
97×	`associate-/r*`
38×	`div-inv`
35×	`add-exp-log`
23×	`add-cbrt-cube`
20×	`div-exp`
12×	`associate-/l*`
11×	`cbrt-undiv`
6×	`associate-/r/` `add-log-exp`
5×	`pow1`
3×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`sub-neg` `flip3--` `pow-flip` `diff-log` `prod-exp` `flip--` `cbrt-unprod` `distribute-lft-out--` `inv-pow` `difference-of-squares`

Counts

4 → 507

Calls

4 calls:

22.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
31.0ms	(/ (sqrt x) (/ y 3.0))
16.0ms	(/ 1.0 (* x 9.0))
59.0ms	(/ 1 (/ (sqrt x) (/ y 3.0)))

series298.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
102.0ms	(/ (sqrt x) (/ y 3.0))
29.0ms	(/ 1.0 (* x 9.0))
107.0ms	(/ 1 (/ (sqrt x) (/ y 3.0)))

simplify2.0s

Counts

519 → 519

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	700	9470
1	1995	7799
done	5000	7557

prune2.2s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
0.0b	(- 1.0 (/ (/ 1.0 x) 9.0))
0.3b	(/ (/ 1.0 x) 9.0)
0.4b	(/ (/ y 3.0) (sqrt x))

rewrite540.0ms

Algorithm

rewrite-expression-head

Rules

225×	`times-frac`
148×	`add-sqr-sqrt`
130×	`*-un-lft-identity`
123×	`add-cube-cbrt`
44×	`sqrt-prod`
26×	`associate-/l*`
14×	`add-exp-log` `add-cbrt-cube`
13×	`div-inv`
11×	`add-log-exp`
9×	`associate-/r*`
8×	`difference-of-squares`
6×	`cbrt-undiv` `div-exp`
4×	`pow1` `diff-log` `distribute-lft-out--`
3×	`sub-neg` `flip3--` `flip--`
2×	`frac-2neg` `associate--l+` `clear-num` `frac-sub` `associate-/l/`
1×	`associate--l-`

Counts

4 → 223

Calls

4 calls:

427.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
50.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
20.0ms	(/ (/ 1.0 x) 9.0)
24.0ms	(/ (/ y 3.0) (sqrt x))

series278.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
55.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
31.0ms	(/ (/ 1.0 x) 9.0)
104.0ms	(/ (/ y 3.0) (sqrt x))

simplify2.5s

Counts

235 → 235

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	436	3538
1	1051	3253
2	4233	3175
done	5001	3171

prune1.4s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes206.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	16
1	17	16
done	17	16

end0.0ms

sample2.4s

Algorithm

intervals

Results

852.0ms	8498×	body	80	valid
778.0ms	8544×	body	80	nan