Details

sample36.0ms

Algorithm

intervals

Results

12.0ms	279×	body	80	valid
11.0ms	288×	body	80	nan

simplify17.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 0.2b

Counts

2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

15.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
5.0ms	(/ y (* 3.0 (sqrt x)))
5.0ms	(* 3.0 (sqrt x))
4.0ms	(/ 1.0 (* x 9.0))

series165.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
63.0ms	(/ y (* 3.0 (sqrt x)))
39.0ms	(* 3.0 (sqrt x))
16.0ms	(/ 1.0 (* x 9.0))

simplify52.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	516	590
1	2039	534
2	5001	532

prune215.0ms

Filtered

97 candidates to 70 candidates (72.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	87	10	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	88	10	98

Merged error: 0b

Counts

98 → 10

localize9.0ms

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

rewrite56.0ms

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:

5.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
30.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
7.0ms	(/ (/ y 3.0) (sqrt x))
4.0ms	(/ 1.0 (* x 9.0))

series161.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
45.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
62.0ms	(/ (/ y 3.0) (sqrt x))
16.0ms	(/ 1.0 (* x 9.0))

simplify74.0ms

Algorithm

egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	771	1529
1	2943	1446
2	5001	1446

prune414.0ms

Filtered

184 candidates to 124 candidates (67.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	181	3	184
Fresh	4	5	9
Picked	1	0	1
Done	0	0	0
Total	186	8	194

Merged error: 0b

Counts

194 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- 1.0 (/ 1.0 (* x 9.0))) (* (/ 1 3.0) (/ y (sqrt x))))
0.2b	(/ y (sqrt x))
0.4b	(* (/ 1 3.0) (/ y (sqrt x)))
0.5b	(/ 1.0 (* x 9.0))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

68×	`add-sqr-sqrt`
60×	`times-frac`
44×	`*-un-lft-identity`
41×	`add-cube-cbrt`
33×	`add-exp-log`
24×	`sqrt-prod`
23×	`add-cbrt-cube`
22×	`associate-r`
13×	`associate-l`
11×	`div-exp`
9×	`prod-exp` `add-log-exp` `unswap-sqr`
7×	`cbrt-undiv` `associate-/r*`
6×	`pow1` `frac-sub` `associate-/l*`
5×	`cbrt-unprod`
4×	`flip3--` `flip--` `div-inv`
3×	`frac-times` `diff-log` `associate-r/` `associate-l/`
2×	`sub-neg` `rec-exp` `frac-2neg` `1-exp` `associate--l+` `clear-num`
1×	`associate--l-` `pow-prod-down` `*-commutative`

Counts

4 → 150

Calls

4 calls:

7.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (* (/ 1 3.0) (/ y (sqrt x))))
4.0ms	(/ y (sqrt x))
12.0ms	(* (/ 1 3.0) (/ y (sqrt x)))
4.0ms	(/ 1.0 (* x 9.0))

series189.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (* (/ 1 3.0) (/ y (sqrt x))))
46.0ms	(/ y (sqrt x))
62.0ms	(* (/ 1 3.0) (/ y (sqrt x)))
17.0ms	(/ 1.0 (* x 9.0))

simplify89.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	767	1171
1	3524	1033
2	5001	1025

prune298.0ms

Filtered

162 candidates to 111 candidates (68.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	162	0	162
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	162	8	170

Merged error: 0b

Counts

170 → 8

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (- 1.0 (* 0.1111111111111111 (/ 1 x))) (/ (/ y 3.0) (sqrt x)))
0.3b	(* 0.1111111111111111 (/ 1 x))
0.3b	(/ (/ y 3.0) (sqrt x))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 172

Calls

3 calls:

26.0ms	(- (- 1.0 (* 0.1111111111111111 (/ 1 x))) (/ (/ y 3.0) (sqrt x)))
7.0ms	(* 0.1111111111111111 (/ 1 x))
7.0ms	(/ (/ y 3.0) (sqrt x))

series120.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(- (- 1.0 (* 0.1111111111111111 (/ 1 x))) (/ (/ y 3.0) (sqrt x)))
15.0ms	(* 0.1111111111111111 (/ 1 x))
61.0ms	(/ (/ y 3.0) (sqrt x))

simplify83.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	825	1490
1	3283	1384
2	5001	1370

prune314.0ms

Filtered

181 candidates to 120 candidates (66.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	181	0	181
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	181	8	189

Merged error: 0b

Counts

189 → 8

regimes58.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	8
1	18	8

end0.0ms

sample969.0ms

Algorithm

intervals

Results

360.0ms	8551×	body	80	valid
330.0ms	8519×	body	80	nan

Details

sample36.0ms

simplify17.0ms

prune2.0ms

localize9.0ms

rewrite30.0ms

series165.0ms

simplify52.0ms

prune215.0ms

localize9.0ms

rewrite56.0ms

series161.0ms

simplify74.0ms

prune414.0ms

localize14.0ms

rewrite33.0ms

series189.0ms

simplify89.0ms

prune298.0ms

localize9.0ms

rewrite48.0ms

series120.0ms

simplify83.0ms

prune314.0ms

regimes58.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample969.0ms

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