Details

sample30.0ms

Algorithm

intervals

Results

8.0ms	275×	body	80	valid
8.0ms	274×	body	80	nan

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

rewrite35.0ms

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:

14.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
5.0ms	(/ 1.0 (* x 9.0))
5.0ms	(/ y (* 3.0 (sqrt x)))
5.0ms	(* 3.0 (sqrt x))

series168.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
15.0ms	(/ 1.0 (* x 9.0))
63.0ms	(/ y (* 3.0 (sqrt x)))
38.0ms	(* 3.0 (sqrt x))

simplify94.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 2 (76.0ms)

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

prune368.0ms

Filtered

166 candidates to 109 candidates (65.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	156	10	166
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	157	10	167

Merged error: 0.0b

Counts

167 → 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)))
0.2b	(/ 1.0 (* x 9.0))
0.3b	(/ (/ y 3.0) (sqrt x))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

828×	`times-frac`
722×	`add-sqr-sqrt`
711×	`*-un-lft-identity`
538×	`add-cube-cbrt`
452×	`prod-diff`
239×	`sqrt-prod`
89×	`difference-of-squares`
87×	`distribute-lft-out--`
50×	`div-inv`
23×	`associate--l+`
16×	`associate-/l*`
14×	`add-exp-log` `add-cbrt-cube`
11×	`add-log-exp`
8×	`fma-neg`
7×	`associate-/r*`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `expm1-log1p-u` `diff-log` `log1p-expm1-u`
3×	`sub-neg` `flip3--` `flip--`
2×	`frac-2neg` `clear-num` `frac-sub`
1×	`associate--l-` `prod-exp` `cbrt-unprod` `associate-/l/`

Counts

4 → 640

Calls

4 calls:

6.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
56.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
4.0ms	(/ 1.0 (* x 9.0))
8.0ms	(/ (/ y 3.0) (sqrt x))

series147.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
48.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
15.0ms	(/ 1.0 (* x 9.0))
55.0ms	(/ (/ y 3.0) (sqrt x))

simplify182.0ms

Algorithm

egg-herbie

Counts

652 → 652

Iterations

Useful iterations: 1 (41.0ms)

Iter	Nodes	Cost
0	2390	21085
1	5001	16927

prune1.2s

Filtered

652 candidates to 307 candidates (47.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	651	1	652
Fresh	1	8	9
Picked	1	0	1
Done	0	0	0
Total	653	9	662

Merged error: 0.0b

Counts

662 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1.0 (* x 9.0))
0.3b	(/ (* 3.0 (sqrt x)) y)
0.3b	(* 3.0 (sqrt x))
0.4b	(/ 1 (/ (* 3.0 (sqrt x)) y))

rewrite29.0ms

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:

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

series179.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(/ 1.0 (* x 9.0))
69.0ms	(/ (* 3.0 (sqrt x)) y)
41.0ms	(* 3.0 (sqrt x))
53.0ms	(/ 1 (/ (* 3.0 (sqrt x)) y))

simplify73.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (63.0ms)

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

prune256.0ms

Filtered

140 candidates to 86 candidates (61.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	139	1	140
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	141	8	149

Merged error: 0.0b

Counts

149 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

211×	`times-frac`
105×	`add-exp-log`
99×	`add-sqr-sqrt`
95×	`add-cube-cbrt` `*-un-lft-identity`
64×	`div-exp`
37×	`add-cbrt-cube`
25×	`div-inv`
17×	`cbrt-undiv` `rec-exp` `1-exp` `prod-exp`
15×	`associate-/r*`
13×	`associate-/l*`
9×	`pow1`
6×	`associate-r`
5×	`cbrt-unprod`
4×	`expm1-log1p-u` `sqrt-prod` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
2×	`pow-flip` `pow-prod-down` `unswap-sqr`
1×	`associate-/r/` `*-commutative` `associate-/l/` `inv-pow`

Counts

4 → 236

Calls

4 calls:

4.0ms	(/ 1.0 (* x 9.0))
5.0ms	(/ 1 (* 3.0 (sqrt x)))
5.0ms	(* 3.0 (sqrt x))
12.0ms	(/ (/ 1 (* 3.0 (sqrt x))) (/ 1 y))

series154.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(/ 1.0 (* x 9.0))
42.0ms	(/ 1 (* 3.0 (sqrt x)))
36.0ms	(* 3.0 (sqrt x))
61.0ms	(/ (/ 1 (* 3.0 (sqrt x))) (/ 1 y))

simplify55.0ms

Algorithm

egg-herbie

Counts

248 → 248

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	1136	1965
1	5002	1655

prune394.0ms

Filtered

248 candidates to 126 candidates (50.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	248	0	248
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	248	8	256

Merged error: 0.0b

Counts

256 → 8

regimes73.0ms

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	19	9
1	19	9

end0.0ms

sample785.0ms

Algorithm

intervals

Results

269.0ms	8521×	body	80	valid
247.0ms	8509×	body	80	nan