Details

sample33.0ms

Algorithm

intervals

Results

11.0ms	263×	body	80	valid
9.0ms	232×	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

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
0.2b	(/ y (* 3.0 (sqrt x)))
0.3b	(* 3.0 (sqrt x))
0.4b	(/ 1.0 (* x 9.0))

rewrite32.0ms

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))
4.0ms	(/ 1.0 (* x 9.0))

series156.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
58.0ms	(/ y (* 3.0 (sqrt x)))
36.0ms	(* 3.0 (sqrt x))
19.0ms	(/ 1.0 (* x 9.0))

simplify92.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 2 (71.0ms)

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

prune300.0ms

Filtered

166 candidates to 109 candidates (65.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	157	9	166
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	158	9	167

Merged error: 0.0b

Counts

167 → 9

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

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:

35.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
5.0ms	(/ y (* 3.0 (sqrt x)))
6.0ms	(/ (/ 1.0 x) 9.0)
5.0ms	(* 3.0 (sqrt x))

series161.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
59.0ms	(/ y (* 3.0 (sqrt x)))
16.0ms	(/ (/ 1.0 x) 9.0)
43.0ms	(* 3.0 (sqrt x))

simplify80.0ms

Algorithm

egg-herbie

Counts

339 → 339

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	1497	5667
1	5001	4916

prune849.0ms

Filtered

339 candidates to 270 candidates (79.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	339	0	339
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	339	9	348

Merged error: 0.0b

Counts

348 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

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

series178.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(/ (* 3.0 (sqrt x)) y)
42.0ms	(* 3.0 (sqrt x))
53.0ms	(/ 1 (/ (* 3.0 (sqrt x)) y))
16.0ms	(/ 1.0 (* x 9.0))

simplify71.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (60.0ms)

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

prune219.0ms

Filtered

140 candidates to 86 candidates (61.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	137	3	140
Fresh	3	4	7
Picked	0	1	1
Done	0	1	1
Total	140	9	149

Merged error: 0.0b

Counts

149 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

87×	`add-sqr-sqrt`
69×	`times-frac`
63×	`*-un-lft-identity`
56×	`add-cube-cbrt`
33×	`add-exp-log`
26×	`prod-diff`
24×	`sqrt-prod`
23×	`associate--l+` `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*` `div-inv`
6×	`pow1` `frac-sub` `associate-/l*`
5×	`fma-neg` `cbrt-unprod`
4×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u`
3×	`frac-times` `diff-log` `associate-r/` `associate-l/`
2×	`sub-neg` `rec-exp` `frac-2neg` `1-exp` `clear-num` `distribute-lft-out--` `difference-of-squares`
1×	`associate--l-` `pow-prod-down` `*-commutative`

Counts

4 → 189

Calls

4 calls:

10.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (* (/ 1 3.0) (/ y (sqrt x))))
4.0ms	(/ y (sqrt x))
13.0ms	(* (/ 1 3.0) (/ y (sqrt x)))
4.0ms	(/ 1.0 (* x 9.0))

series169.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (* (/ 1 3.0) (/ y (sqrt x))))
46.0ms	(/ y (sqrt x))
63.0ms	(* (/ 1 3.0) (/ y (sqrt x)))
16.0ms	(/ 1.0 (* x 9.0))

simplify102.0ms

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 2 (85.0ms)

Iter	Nodes	Cost
0	900	1708
1	4081	1417
2	5001	1396

prune378.0ms

Filtered

201 candidates to 148 candidates (73.6%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	201	0	201
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	201	9	210

Merged error: 0.0b

Counts

210 → 9

regimes60.0ms

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

sample992.0ms

Algorithm

intervals

Results

366.0ms	8504×	body	80	valid
334.0ms	8394×	body	80	nan