Details

sample39.0ms

Algorithm

intervals

Results

14.0ms	265×	body	80	valid
10.0ms	250×	body	80	nan

simplify22.0ms

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

prune3.0ms

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

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
0.3b	(/ y (* 3.0 (sqrt x)))
0.3b	(* 3.0 (sqrt x))
0.7b	(/ 1.0 (* x 9.0))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-sqr-sqrt`
63×	`*-un-lft-identity`
56×	`prod-diff`
42×	`add-cube-cbrt`
30×	`times-frac`
23×	`associate--l+`
16×	`add-exp-log` `add-cbrt-cube`
11×	`distribute-lft-out--`
10×	`div-inv`
9×	`add-log-exp` `difference-of-squares`
6×	`pow1` `associate-r` `associate-/l*`
5×	`fma-neg`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `sqrt-prod` `log1p-expm1-u`
3×	`diff-log` `associate-l` `prod-exp` `cbrt-unprod`
2×	`sub-neg` `flip3--` `frac-2neg` `clear-num` `associate-/r*` `frac-sub` `flip--` `unswap-sqr`
1×	`associate--l-` `pow-prod-down` `*-commutative`

Counts

4 → 154

Calls

4 calls:

13.0ms	(- (- 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))
5.0ms	(/ 1.0 (* x 9.0))

series166.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
61.0ms	(/ y (* 3.0 (sqrt x)))
43.0ms	(* 3.0 (sqrt x))
17.0ms	(/ 1.0 (* x 9.0))

simplify93.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	768	2009
1	3077	1504
2	5002	1453

prune336.0ms

Filtered

166 candidates to 109 candidates (65.7%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	154	12	166
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	155	12	167

Merged error: 0.0b

Counts

167 → 12

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
0.4b	(/ (/ y 3.0) (sqrt x))
0.7b	(/ 1.0 (* x 9.0))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

819×	`times-frac`
705×	`add-sqr-sqrt`
694×	`*-un-lft-identity`
523×	`add-cube-cbrt`
431×	`prod-diff`
239×	`sqrt-prod`
88×	`difference-of-squares`
86×	`distribute-lft-out--`
47×	`div-inv`
23×	`associate--l+`
16×	`associate-/l*`
13×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
7×	`associate-/r*`
5×	`cbrt-undiv` `fma-neg` `div-exp`
3×	`pow1` `expm1-log1p-u` `diff-log` `log1p-expm1-u`
2×	`sub-neg` `flip3--` `frac-2neg` `clear-num` `frac-sub` `flip--`
1×	`associate--l-` `prod-exp` `cbrt-unprod` `associate-/l/`

Counts

3 → 600

Calls

3 calls:

46.0ms	(- (- 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))

series125.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
65.0ms	(/ (/ y 3.0) (sqrt x))
17.0ms	(/ 1.0 (* x 9.0))

simplify181.0ms

Algorithm

egg-herbie

Counts

609 → 609

Iterations

Useful iterations: 1 (42.0ms)

Iter	Nodes	Cost
0	2322	20584
1	5002	16557

prune1.1s

Filtered

609 candidates to 284 candidates (46.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	606	3	609
Fresh	5	6	11
Picked	1	0	1
Done	0	0	0
Total	612	9	621

Merged error: 0.0b

Counts

621 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- 1.0 (/ 1.0 (* x 9.0))) (* y (/ (/ 1 3.0) (sqrt x))))
0.3b	(* y (/ (/ 1 3.0) (sqrt x)))
0.4b	(/ (/ 1 3.0) (sqrt x))
0.7b	(/ 1.0 (* x 9.0))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

295×	`times-frac`
194×	`add-sqr-sqrt`
174×	`*-un-lft-identity`
168×	`add-cube-cbrt`
84×	`sqrt-prod`
82×	`associate-r`
33×	`add-exp-log`
26×	`prod-diff`
23×	`associate--l+` `add-cbrt-cube`
19×	`div-inv`
16×	`associate-/l*`
14×	`div-exp`
9×	`add-log-exp`
8×	`cbrt-undiv`
7×	`associate-/r*` `unswap-sqr`
6×	`pow1` `prod-exp`
5×	`fma-neg`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u`
3×	`diff-log` `associate-r/` `associate-l*`
2×	`sub-neg` `rec-exp` `flip3--` `frac-2neg` `1-exp` `clear-num` `frac-sub` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`associate--l-` `pow-prod-down` `*-commutative` `associate-/l/`

Counts

4 → 302

Calls

4 calls:

10.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (* y (/ (/ 1 3.0) (sqrt x))))
22.0ms	(* y (/ (/ 1 3.0) (sqrt x)))
11.0ms	(/ (/ 1 3.0) (sqrt x))
4.0ms	(/ 1.0 (* x 9.0))

series169.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (* y (/ (/ 1 3.0) (sqrt x))))
63.0ms	(* y (/ (/ 1 3.0) (sqrt x)))
45.0ms	(/ (/ 1 3.0) (sqrt x))
16.0ms	(/ 1.0 (* x 9.0))

simplify61.0ms

Algorithm

egg-herbie

Counts

314 → 314

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	1195	2670
1	5001	2315

prune538.0ms

Filtered

314 candidates to 192 candidates (61.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	314	0	314
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	314	9	323

Merged error: 0.0b

Counts

323 → 9

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (- 1.0 (/ 0.1111111111111111 x)) (/ (/ y 3.0) (sqrt x)))
0.4b	(/ (/ y 3.0) (sqrt x))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

1049×	`times-frac`
1041×	`add-sqr-sqrt`
781×	`*-un-lft-identity`
610×	`add-cube-cbrt`
531×	`prod-diff`
278×	`sqrt-prod`
171×	`difference-of-squares`
86×	`distribute-lft-out--`
53×	`div-inv`
41×	`associate--l+`
13×	`associate-/l*`
7×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
6×	`fma-neg` `associate-/r*`
3×	`cbrt-undiv` `diff-log` `div-exp`
2×	`pow1` `expm1-log1p-u` `sub-neg` `flip3--` `frac-sub` `flip--` `log1p-expm1-u`
1×	`associate--l-` `frac-2neg` `clear-num` `associate-/l/`

Counts

2 → 678

Calls

2 calls:

53.0ms	(- (- 1.0 (/ 0.1111111111111111 x)) (/ (/ y 3.0) (sqrt x)))
7.0ms	(/ (/ y 3.0) (sqrt x))

series134.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(- (- 1.0 (/ 0.1111111111111111 x)) (/ (/ y 3.0) (sqrt x)))
66.0ms	(/ (/ y 3.0) (sqrt x))

simplify238.0ms

Algorithm

egg-herbie

Counts

684 → 684

Iterations

Useful iterations: 1 (48.0ms)

Iter	Nodes	Cost
0	2484	24017
1	5001	19286

prune1.3s

Filtered

684 candidates to 331 candidates (48.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	682	2	684
Fresh	1	6	7
Picked	1	0	1
Done	0	1	1
Total	684	9	693

Merged error: 0.0b

Counts

693 → 9

regimes103.0ms

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	18	8
1	18	8

end0.0ms

sample996.0ms

Algorithm

intervals

Results

354.0ms	8534×	body	80	valid
342.0ms	8678×	body	80	nan