Details

sample30.0ms

Algorithm

intervals

Results

9.0ms	305×	body	80	nan
8.0ms	277×	body	80	valid

simplify18.0ms

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

localize12.0ms

Local error

Found 4 expressions with local error:

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

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

series154.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
36.0ms	(* 3.0 (sqrt x))
57.0ms	(/ y (* 3.0 (sqrt x)))
16.0ms	(/ 1.0 (* x 9.0))

simplify88.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 2 (71.0ms)

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

prune301.0ms

Filtered

166 candidates to 109 candidates (65.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	158	8	166
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	159	8	167

Merged error: 0.0b

Counts

167 → 8

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite106.0ms

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:

43.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
4.0ms	(/ 1.0 (* x 9.0))
7.0ms	(/ (/ y 3.0) (sqrt x))

series137.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
24.0ms	(/ 1.0 (* x 9.0))
62.0ms	(/ (/ y 3.0) (sqrt x))

simplify178.0ms

Algorithm

egg-herbie

Counts

609 → 609

Iterations

Useful iterations: 1 (40.0ms)

Iter	Nodes	Cost
0	2322	20584
1	5002	16557

prune1.0s

Filtered

609 candidates to 284 candidates (46.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	609	0	609
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	609	8	617

Merged error: 0.0b

Counts

617 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

321×	`times-frac`
299×	`add-sqr-sqrt`
242×	`*-un-lft-identity`
221×	`add-cube-cbrt`
178×	`prod-diff`
131×	`associate--l+`
25×	`div-inv` `difference-of-squares`
16×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
11×	`distribute-lft-out--`
9×	`add-log-exp`
7×	`fma-neg`
6×	`pow1` `associate-r`
5×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `associate-/r*` `sqrt-prod` `log1p-expm1-u`
3×	`diff-log` `associate-l`
2×	`sub-neg` `flip3--` `frac-2neg` `prod-exp` `clear-num` `frac-sub` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`associate--l-` `pow-prod-down` `*-commutative` `associate-/l/`

Counts

4 → 327

Calls

4 calls:

32.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
5.0ms	(* 3.0 (sqrt x))
5.0ms	(/ y (* 3.0 (sqrt x)))
6.0ms	(/ (/ 1.0 x) 9.0)

series160.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
36.0ms	(* 3.0 (sqrt x))
60.0ms	(/ y (* 3.0 (sqrt x)))
16.0ms	(/ (/ 1.0 x) 9.0)

simplify73.0ms

Algorithm

egg-herbie

Counts

339 → 339

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	1497	5667
1	5001	4916

prune921.0ms

Filtered

339 candidates to 270 candidates (79.6%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	336	3	339
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	337	10	347

Merged error: 0.0b

Counts

347 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 3.0 (sqrt x))
0.2b	(/ (* 3.0 (sqrt x)) y)
0.3b	(/ 1.0 (* x 9.0))
0.5b	(/ 1 (/ (* 3.0 (sqrt x)) y))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

39×	`times-frac`
37×	`add-exp-log`
31×	`add-sqr-sqrt`
27×	`add-cube-cbrt` `*-un-lft-identity`
25×	`add-cbrt-cube`
16×	`div-exp`
11×	`associate-/r*`
9×	`cbrt-undiv`
7×	`pow1` `div-inv` `associate-/l*`
6×	`associate-r` `prod-exp`
4×	`expm1-log1p-u` `sqrt-prod` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `frac-2neg` `1-exp` `associate-l` `clear-num`
2×	`unswap-sqr`
1×	`pow-flip` `pow-prod-down` `associate-/r/` `*-commutative` `inv-pow`

Counts

4 → 128

Calls

4 calls:

5.0ms	(* 3.0 (sqrt x))
5.0ms	(/ (* 3.0 (sqrt x)) y)
4.0ms	(/ 1.0 (* x 9.0))
7.0ms	(/ 1 (/ (* 3.0 (sqrt x)) y))

series181.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* 3.0 (sqrt x))
68.0ms	(/ (* 3.0 (sqrt x)) y)
16.0ms	(/ 1.0 (* x 9.0))
60.0ms	(/ 1 (/ (* 3.0 (sqrt x)) y))

simplify76.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	630	778
1	2976	667
2	5001	623

prune209.0ms

Filtered

140 candidates to 86 candidates (61.4%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	139	1	140
Fresh	2	5	7
Picked	0	1	1
Done	0	2	2
Total	141	9	150

Merged error: 0.0b

Counts

150 → 9

regimes65.0ms

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	13	7
1	13	7

end0.0ms

sample796.0ms

Algorithm

intervals

Results

271.0ms	8537×	body	80	valid
255.0ms	8649×	body	80	nan