Details

sample30.0ms

Algorithm

intervals

Results

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

simplify19.0ms

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: 0.2b

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))

rewrite26.0ms

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:

10.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
4.0ms	(/ 1.0 (* x 9.0))
5.0ms	(/ y (* 3.0 (sqrt x)))
5.0ms	(* 3.0 (sqrt x))

series169.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
16.0ms	(/ 1.0 (* x 9.0))
63.0ms	(/ y (* 3.0 (sqrt x)))
40.0ms	(* 3.0 (sqrt x))

simplify56.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (47.0ms)

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

prune211.0ms

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: 0.0b

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

rewrite55.0ms

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)))
29.0ms	(- (- 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))

series168.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
65.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
16.0ms	(/ 1.0 (* x 9.0))
56.0ms	(/ (/ y 3.0) (sqrt x))

simplify75.0ms

Algorithm

egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 1 (21.0ms)

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

prune330.0ms

Filtered

184 candidates to 124 candidates (67.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	183	1	184
Fresh	1	8	9
Picked	1	0	1
Done	0	0	0
Total	185	9	194

Merged error: 0.0b

Counts

194 → 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))

rewrite23.0ms

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×	`sqrt-prod` `cbrt-unprod` `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 → 120

Calls

4 calls:

4.0ms	(/ 1.0 (* x 9.0))
5.0ms	(/ (* 3.0 (sqrt x)) y)
5.0ms	(* 3.0 (sqrt x))
6.0ms	(/ 1 (/ (* 3.0 (sqrt x)) y))

series182.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(/ 1.0 (* x 9.0))
63.0ms	(/ (* 3.0 (sqrt x)) y)
40.0ms	(* 3.0 (sqrt x))
57.0ms	(/ 1 (/ (* 3.0 (sqrt x)) y))

simplify72.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	608	748
1	2921	637
2	5001	600

prune205.0ms

Filtered

132 candidates to 78 candidates (59.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	131	1	132
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	133	8	141

Merged error: 0.0b

Counts

141 → 8

localize11.0ms

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))

rewrite40.0ms

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×	`sqrt-prod` `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 → 228

Calls

4 calls:

4.0ms	(/ 1.0 (* x 9.0))
5.0ms	(/ 1 (* 3.0 (sqrt x)))
5.0ms	(* 3.0 (sqrt x))
11.0ms	(/ (/ 1 (* 3.0 (sqrt x))) (/ 1 y))

series151.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(/ 1.0 (* x 9.0))
37.0ms	(/ 1 (* 3.0 (sqrt x)))
44.0ms	(* 3.0 (sqrt x))
54.0ms	(/ (/ 1 (* 3.0 (sqrt x))) (/ 1 y))

simplify55.0ms

Algorithm

egg-herbie

Counts

240 → 240

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1114	1933
1	5001	1623

prune312.0ms

Filtered

240 candidates to 118 candidates (49.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	240	0	240
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	240	8	248

Merged error: 0.0b

Counts

248 → 8

regimes57.0ms

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

sample761.0ms

Algorithm

intervals

Results

262.0ms	8521×	body	80	valid
239.0ms	8509×	body	80	nan