Details

sample55.0ms

Algorithm

intervals

Results

18.0ms	272×	body	80	valid
15.0ms	295×	body	80	nan

simplify2.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	285
1	24	285
2	47	285
3	73	285
4	98	285
5	134	285
6	200	285
7	455	285
8	1130	285
9	4385	285
done	5001	285

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
16×	`add-cbrt-cube` `add-exp-log`
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×	`clear-num` `associate-/r*` `frac-2neg` `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:

8.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
7.0ms	(/ y (* 3.0 (sqrt x)))
7.0ms	(* 3.0 (sqrt x))
6.0ms	(/ 1.0 (* x 9.0))

series170.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
64.0ms	(/ y (* 3.0 (sqrt x)))
39.0ms	(* 3.0 (sqrt x))
23.0ms	(/ 1.0 (* x 9.0))

simplify1.2s

Counts

90 → 90

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	185	19031
1	435	16080
2	1910	15315
done	5001	15235

prune434.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 129

Calls

4 calls:

35.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
12.0ms	(/ y (* 3.0 (sqrt x)))
15.0ms	(/ (/ 1.0 x) 9.0)
11.0ms	(* 3.0 (sqrt x))

series210.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
75.0ms	(/ y (* 3.0 (sqrt x)))
28.0ms	(/ (/ 1.0 x) 9.0)
57.0ms	(* 3.0 (sqrt x))

simplify1.7s

Counts

141 → 141

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	288	37128
1	695	33083
2	2990	32277
done	5000	32157

prune713.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 3 expressions with local error:

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

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

219×	`times-frac`
131×	`add-sqr-sqrt`
124×	`*-un-lft-identity`
122×	`add-cube-cbrt`
42×	`sqrt-prod`
26×	`associate-/l*`
13×	`add-cbrt-cube` `add-exp-log` `div-inv`
9×	`associate-/r*`
6×	`cbrt-undiv` `div-exp`
5×	`add-log-exp`
3×	`pow1` `difference-of-squares`
2×	`clear-num` `frac-2neg` `associate-/l/`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--`

Counts

3 → 198

Calls

3 calls:

21.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
9.0ms	(/ (/ 1.0 x) 9.0)
19.0ms	(/ (/ y 3.0) (sqrt x))

series156.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
31.0ms	(/ (/ 1.0 x) 9.0)
73.0ms	(/ (/ y 3.0) (sqrt x))

simplify2.1s

Counts

207 → 207

Iterations

Useful iterations: 2 (936.0ms)

Iter	Nodes	Cost
0	395	71343
1	938	65186
2	3799	64221
done	5002	64221

prune1.1s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (/ 1 (* 3.0 (sqrt x))))
0.3b	(/ (/ 1.0 x) 9.0)
0.3b	(* 3.0 (sqrt x))
0.3b	(/ 1 (* 3.0 (sqrt x)))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

81×	`times-frac`
60×	`add-sqr-sqrt`
54×	`*-un-lft-identity` `add-cube-cbrt`
41×	`add-exp-log`
25×	`add-cbrt-cube`
16×	`associate-/l*`
14×	`prod-exp`
13×	`associate-r`
11×	`pow1` `div-exp`
7×	`cbrt-undiv` `div-inv`
6×	`associate-l` `cbrt-unprod`
4×	`rec-exp` `associate-/r*` `1-exp` `sqrt-prod` `add-log-exp`
3×	`pow-prod-down` `unswap-sqr`
2×	`clear-num` `frac-2neg` `*-commutative` `pow-flip`
1×	`associate-*r/` `un-div-inv` `inv-pow` `associate-/l/`

Counts

4 → 152

Calls

4 calls:

50.0ms	(* y (/ 1 (* 3.0 (sqrt x))))
15.0ms	(/ (/ 1.0 x) 9.0)
14.0ms	(* 3.0 (sqrt x))
20.0ms	(/ 1 (* 3.0 (sqrt x)))

series190.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* y (/ 1 (* 3.0 (sqrt x))))
29.0ms	(/ (/ 1.0 x) 9.0)
44.0ms	(* 3.0 (sqrt x))
48.0ms	(/ 1 (* 3.0 (sqrt x)))

simplify1.9s

Counts

164 → 164

Iterations

Useful iterations: 2 (895.0ms)

Iter	Nodes	Cost
0	305	42779
1	769	35791
2	3483	34003
done	5002	34003

prune798.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes139.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	326
1	18	326
done	18	326

end0.0ms

sample1.5s

Algorithm

intervals

Results

590.0ms	8406×	body	80	nan
516.0ms	8503×	body	80	valid