Details

sample31.0ms

Algorithm

intervals

Results

9.0ms	272×	body	80	valid
8.0ms	278×	body	80	nan

simplify23.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	24	7
1	47	7
2	73	7
3	92	7
4	105	7
5	128	7
6	161	7
7	210	7
8	244	7
9	244	7

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.3b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

102×	`add-sqr-sqrt`
86×	`times-frac`
67×	`*-un-lft-identity`
65×	`add-cube-cbrt`
42×	`associate-r`
28×	`associate-/r*`
27×	`associate-l`
20×	`sqrt-prod`
16×	`add-exp-log` `add-cbrt-cube`
15×	`unswap-sqr`
9×	`*-commutative`
6×	`pow1` `associate-/l*` `add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`prod-exp` `cbrt-unprod` `difference-of-squares`
2×	`frac-2neg` `clear-num` `div-inv`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `flip--` `distribute-lft-out--`

Counts

4 → 184

Calls

4 calls:

17.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
8.0ms	(/ y (* 3.0 (sqrt x)))
7.0ms	(/ 1.0 (* x 9.0))
5.0ms	(* 3.0 (sqrt x))

series160.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
65.0ms	(/ y (* 3.0 (sqrt x)))
17.0ms	(/ 1.0 (* x 9.0))
41.0ms	(* 3.0 (sqrt x))

simplify91.0ms

Algorithm

egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	734	1150
1	3063	1095
2	5001	1085

prune356.0ms

Filtered

196 candidates to 137 candidates (69.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	188	8	196
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	189	8	197

Merged error: 0b

Counts

197 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

194×	`times-frac`
139×	`add-sqr-sqrt`
124×	`*-un-lft-identity`
122×	`add-cube-cbrt`
51×	`sqrt-prod`
31×	`associate-/l*`
27×	`associate-/r*`
16×	`add-exp-log` `add-cbrt-cube`
12×	`associate-r` `associate-l` `associate-/l/`
7×	`div-inv`
6×	`cbrt-undiv` `div-exp` `add-log-exp`
5×	`unswap-sqr`
4×	`pow1` `frac-2neg` `clear-num` `*-commutative`
3×	`difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `prod-exp` `flip--` `cbrt-unprod` `distribute-lft-out--`

Counts

4 → 237

Calls

4 calls:

14.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
4.0ms	(/ y (sqrt x))
7.0ms	(/ 1.0 (* x 9.0))
10.0ms	(/ (/ y (sqrt x)) 3.0)

series166.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
49.0ms	(/ y (sqrt x))
17.0ms	(/ 1.0 (* x 9.0))
66.0ms	(/ (/ y (sqrt x)) 3.0)

simplify97.0ms

Algorithm

egg-herbie

Counts

249 → 249

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	849	1661
1	3410	1568
2	5001	1568

prune466.0ms

Filtered

249 candidates to 178 candidates (71.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	245	4	249
Fresh	4	3	7
Picked	1	0	1
Done	0	0	0
Total	250	7	257

Merged error: 0b

Counts

257 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

852×	`times-frac`
548×	`add-sqr-sqrt`
444×	`add-cube-cbrt` `*-un-lft-identity`
314×	`sqrt-prod`
156×	`associate-r`
86×	`associate-/l*`
78×	`associate-l`
53×	`associate-/r*`
52×	`unswap-sqr`
34×	`associate-/l/`
26×	`*-commutative`
25×	`add-exp-log` `add-cbrt-cube`
15×	`div-inv`
11×	`cbrt-undiv` `div-exp`
6×	`frac-2neg` `clear-num`
4×	`pow1` `add-log-exp`
2×	`prod-exp` `cbrt-unprod`

Counts

4 → 645

Calls

4 calls:

4.0ms	(/ y (sqrt x))
10.0ms	(/ (/ y (sqrt x)) 3.0)
27.0ms	(/ (/ 1.0 (* x (sqrt 9.0))) (sqrt 9.0))
9.0ms	(/ 1.0 (* x (sqrt 9.0)))

series271.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(/ y (sqrt x))
60.0ms	(/ (/ y (sqrt x)) 3.0)
97.0ms	(/ (/ 1.0 (* x (sqrt 9.0))) (sqrt 9.0))
65.0ms	(/ 1.0 (* x (sqrt 9.0)))

simplify114.0ms

Algorithm

egg-herbie

Counts

657 → 657

Iterations

Useful iterations: 1 (41.0ms)

Iter	Nodes	Cost
0	1838	6656
1	5001	6058

prune1.1s

Filtered

657 candidates to 371 candidates (56.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	656	1	657
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	658	6	664

Merged error: 0b

Counts

664 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

624×	`add-sqr-sqrt`
609×	`sqrt-prod`
595×	`associate-/r*`
390×	`frac-times`
350×	`*-un-lft-identity`
333×	`add-cube-cbrt`
259×	`associate-r`
242×	`times-frac`
148×	`associate-l`
136×	`associate-/l*` `unswap-sqr`
67×	`add-exp-log`
46×	`clear-num`
45×	`frac-2neg`
37×	`add-cbrt-cube`
29×	`*-commutative`
26×	`associate-*l/`
25×	`prod-exp`
21×	`div-exp`
15×	`associate-*r/`
11×	`pow1` `cbrt-undiv` `cbrt-unprod`
6×	`rec-exp` `1-exp`
4×	`div-inv` `add-log-exp`
3×	`pow-prod-down`
2×	`pow-flip` `un-div-inv`
1×	`inv-pow`

Counts

4 → 788

Calls

4 calls:

6.0ms	(* 3.0 (sqrt (sqrt x)))
7.0ms	(/ 1.0 (* x 9.0))
15.0ms	(/ 1 (* 3.0 (sqrt (sqrt x))))
61.0ms	(* (/ 1 (* 3.0 (sqrt (sqrt x)))) (/ y (sqrt (sqrt x))))

series430.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(* 3.0 (sqrt (sqrt x)))
17.0ms	(/ 1.0 (* x 9.0))
181.0ms	(/ 1 (* 3.0 (sqrt (sqrt x))))
62.0ms	(* (/ 1 (* 3.0 (sqrt (sqrt x)))) (/ y (sqrt (sqrt x))))

simplify152.0ms

Algorithm

egg-herbie

Counts

800 → 800

Iterations

Useful iterations: 1 (63.0ms)

Iter	Nodes	Cost
0	2549	8359
1	5001	7643

prune1.2s

Filtered

800 candidates to 339 candidates (42.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	798	2	800
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	801	5	806

Merged error: 0b

Counts

806 → 5

regimes52.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	10
1	15	10

end0.0ms

sample805.0ms

Algorithm

intervals

Results

279.0ms	8523×	body	80	valid
250.0ms	8434×	body	80	nan