Details

sample28.0ms

Algorithm

intervals

Results

8.0ms	266×	body	80	valid
7.0ms	232×	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

prune5.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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

rewrite169.0ms

Algorithm

rewrite-expression-head

Rules

1065×	`add-sqr-sqrt`
637×	`times-frac`
548×	`*-un-lft-identity`
484×	`prod-diff`
437×	`add-cube-cbrt`
207×	`associate-r`
163×	`difference-of-squares`
124×	`unswap-sqr`
123×	`associate-l`
122×	`associate--l+`
113×	`sqrt-prod`
60×	`associate-/r*`
56×	`distribute-lft-out--`
44×	`frac-sub`
41×	`*-commutative`
23×	`flip3--` `flip--`
16×	`add-exp-log` `add-cbrt-cube`
12×	`div-inv` `associate-/l*`
9×	`add-log-exp`
7×	`fma-neg`
6×	`pow1`
4×	`cbrt-undiv` `expm1-log1p-u` `frac-2neg` `div-exp` `clear-num` `log1p-expm1-u`
3×	`diff-log` `prod-exp` `cbrt-unprod`
2×	`sub-neg`
1×	`associate--l-` `pow-prod-down`

Counts

4 → 733

Calls

4 calls:

70.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
9.0ms	(/ y (* 3.0 (sqrt x)))
7.0ms	(/ 1.0 (* x 9.0))
5.0ms	(* 3.0 (sqrt x))

series176.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
60.0ms	(/ y (* 3.0 (sqrt x)))
17.0ms	(/ 1.0 (* x 9.0))
48.0ms	(* 3.0 (sqrt x))

simplify213.0ms

Algorithm

egg-herbie

Counts

745 → 745

Iterations

Useful iterations: 1 (54.0ms)

Iter	Nodes	Cost
0	2768	19908
1	5003	18685

prune1.6s

Filtered

745 candidates to 452 candidates (39.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	738	7	745
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	739	7	746

Merged error: 0b

Counts

746 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite218.0ms

Algorithm

rewrite-expression-head

Rules

1445×	`add-sqr-sqrt`
1323×	`times-frac`
914×	`*-un-lft-identity`
767×	`add-cube-cbrt`
610×	`prod-diff`
265×	`sqrt-prod`
217×	`difference-of-squares`
122×	`associate--l+`
84×	`unswap-sqr`
81×	`associate-/l*`
80×	`frac-sub`
74×	`distribute-lft-out--`
45×	`associate-/r*`
41×	`flip3--` `flip--`
40×	`div-inv`
39×	`associate-r` `associate-l`
36×	`associate-/l/`
16×	`add-exp-log` `add-cbrt-cube`
13×	`*-commutative`
9×	`add-log-exp`
8×	`frac-2neg` `clear-num`
7×	`fma-neg`
6×	`cbrt-undiv` `div-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`diff-log`
2×	`sub-neg`
1×	`associate--l-` `prod-exp` `cbrt-unprod`

Counts

4 → 948

Calls

4 calls:

85.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y (sqrt x)) 3.0))
4.0ms	(/ y (sqrt x))
10.0ms	(/ (/ y (sqrt x)) 3.0)
7.0ms	(/ 1.0 (* x 9.0))

series188.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y (sqrt x)) 3.0))
50.0ms	(/ y (sqrt x))
70.0ms	(/ (/ y (sqrt x)) 3.0)
18.0ms	(/ 1.0 (* x 9.0))

simplify308.0ms

Algorithm

egg-herbie

Counts

960 → 960

Iterations

Useful iterations: 1 (73.0ms)

Iter	Nodes	Cost
0	3715	30511
1	5002	28832

prune2.5s

Filtered

960 candidates to 582 candidates (39.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	957	3	960
Fresh	3	3	6
Picked	1	0	1
Done	0	0	0
Total	961	6	967

Merged error: 0b

Counts

967 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

269×	`times-frac`
228×	`add-sqr-sqrt`
172×	`*-un-lft-identity`
160×	`add-cube-cbrt`
122×	`associate-r`
73×	`sqrt-prod`
49×	`associate-/l*`
37×	`add-exp-log`
33×	`associate-/r*`
29×	`unswap-sqr`
27×	`associate-l`
25×	`add-cbrt-cube`
24×	`associate-*r/`
15×	`associate-/l/`
13×	`div-exp`
9×	`prod-exp` `*-commutative`
8×	`pow1` `cbrt-undiv` `div-inv`
7×	`clear-num`
6×	`un-div-inv`
5×	`frac-2neg` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `pow-flip` `1-exp`
1×	`sqrt-pow1` `pow1/2` `pow-prod-down` `inv-pow`

Counts

4 → 354

Calls

4 calls:

12.0ms	(* y (/ 1 (sqrt x)))
5.0ms	(/ 1 (sqrt x))
20.0ms	(/ (* y (/ 1 (sqrt x))) 3.0)
7.0ms	(/ 1.0 (* x 9.0))

series157.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* y (/ 1 (sqrt x)))
29.0ms	(/ 1 (sqrt x))
66.0ms	(/ (* y (/ 1 (sqrt x))) 3.0)
17.0ms	(/ 1.0 (* x 9.0))

simplify66.0ms

Algorithm

egg-herbie

Counts

366 → 366

Iterations

Useful iterations: 1 (33.0ms)

Iter	Nodes	Cost
0	1218	2453
1	5001	2188

prune594.0ms

Filtered

366 candidates to 221 candidates (39.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	366	0	366
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	366	6	372

Merged error: 0b

Counts

372 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite229.0ms

Algorithm

rewrite-expression-head

Rules

1523×	`times-frac`
1480×	`add-sqr-sqrt`
975×	`*-un-lft-identity`
828×	`add-cube-cbrt`
619×	`prod-diff`
265×	`sqrt-prod`
217×	`difference-of-squares`
131×	`associate--l+`
94×	`associate-/l*`
80×	`frac-sub`
74×	`distribute-lft-out--`
53×	`div-inv`
45×	`associate-/l/`
41×	`flip3--` `flip--`
39×	`associate-/r*`
16×	`add-exp-log` `add-cbrt-cube`
9×	`frac-2neg` `clear-num` `add-log-exp`
7×	`cbrt-undiv` `fma-neg` `div-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`diff-log`
2×	`sub-neg`
1×	`associate--l-`

Counts

4 → 970

Calls

4 calls:

84.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y (sqrt x)) 3.0))
4.0ms	(/ y (sqrt x))
13.0ms	(/ (/ y (sqrt x)) 3.0)
7.0ms	(/ (/ 1.0 x) 9.0)

series184.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y (sqrt x)) 3.0))
46.0ms	(/ y (sqrt x))
67.0ms	(/ (/ y (sqrt x)) 3.0)
18.0ms	(/ (/ 1.0 x) 9.0)

simplify316.0ms

Algorithm

egg-herbie

Counts

982 → 982

Iterations

Useful iterations: 1 (73.0ms)

Iter	Nodes	Cost
0	3897	31327
1	5001	29643

prune2.4s

Filtered

982 candidates to 615 candidates (37.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	982	0	982
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	982	6	988

Merged error: 0b

Counts

988 → 6

regimes48.0ms

Accuracy

0% (0.3b 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	18	8
1	18	8

end0.0ms

sample821.0ms

Algorithm

intervals

Results

285.0ms	8538×	body	80	valid
255.0ms	8324×	body	80	nan