Details

sample36.0ms

Algorithm

intervals

Results

12.0ms	276×	body	80	valid
9.0ms	301×	body	80	nan

simplify25.0ms

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

prune3.0ms

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

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
16×	`add-exp-log` `add-cbrt-cube`
13×	`*-un-lft-identity`
11×	`add-cube-cbrt`
6×	`pow1` `times-frac` `associate-r` `associate-/l*` `add-log-exp`
4×	`cbrt-undiv` `div-exp` `sqrt-prod`
3×	`associate-l` `prod-exp` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/r*` `div-inv` `unswap-sqr`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `*-commutative` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 78

Calls

4 calls:

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

series167.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
18.0ms	(/ 1.0 (* x 9.0))
61.0ms	(/ y (* 3.0 (sqrt x)))
47.0ms	(* 3.0 (sqrt x))

simplify51.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	425	414
1	1696	363
2	5001	355

prune232.0ms

Filtered

90 candidates to 64 candidates (71.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	80	10	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	81	10	91

Merged error: 0.0b

Counts

91 → 10

localize17.0ms

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))
0.4b	(/ (/ y 3.0) (sqrt x))

rewrite62.0ms

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:

6.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
33.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
5.0ms	(/ 1.0 (* x 9.0))
9.0ms	(/ (/ y 3.0) (sqrt x))

series190.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
62.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
20.0ms	(/ 1.0 (* x 9.0))
75.0ms	(/ (/ y 3.0) (sqrt x))

simplify84.0ms

Algorithm

egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 1 (21.0ms)

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

prune411.0ms

Filtered

184 candidates to 124 candidates (67.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	181	3	184
Fresh	3	6	9
Picked	1	0	1
Done	0	0	0
Total	185	9	194

Merged error: 0.0b

Counts

194 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

566×	`times-frac`
348×	`add-sqr-sqrt`
290×	`*-un-lft-identity`
283×	`add-cube-cbrt`
144×	`sqrt-prod`
136×	`associate-r`
135×	`cbrt-prod`
94×	`add-exp-log`
41×	`add-cbrt-cube`
39×	`div-exp`
31×	`prod-exp`
28×	`associate-/l*`
21×	`cbrt-undiv` `unswap-sqr`
18×	`div-inv`
13×	`associate-/r*` `cbrt-unprod`
7×	`associate-l`
6×	`pow1` `rec-exp` `1-exp`
4×	`add-log-exp`
3×	`frac-2neg` `clear-num`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `associate-/l/`

Counts

4 → 441

Calls

4 calls:

5.0ms	(/ 1.0 (* x 9.0))
53.0ms	(* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (/ y (cbrt 3.0)) (sqrt x)))
4.0ms	(/ y (cbrt 3.0))
11.0ms	(/ (/ y (cbrt 3.0)) (sqrt x))

series430.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ 1.0 (* x 9.0))
140.0ms	(* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (/ y (cbrt 3.0)) (sqrt x)))
76.0ms	(/ y (cbrt 3.0))
189.0ms	(/ (/ y (cbrt 3.0)) (sqrt x))

simplify89.0ms

Algorithm

egg-herbie

Counts

453 → 453

Iterations

Useful iterations: 1 (42.0ms)

Iter	Nodes	Cost
0	1763	4959
1	5001	4601

prune1.4s

Filtered

453 candidates to 291 candidates (64.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	453	0	453
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	453	9	462

Merged error: 0.0b

Counts

462 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

81×	`times-frac`
64×	`add-sqr-sqrt`
53×	`*-un-lft-identity`
51×	`add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
6×	`pow1` `associate-r` `div-inv` `add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`associate-/r*` `sqrt-prod`
3×	`associate-l` `difference-of-squares`
2×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `*-commutative` `flip--` `associate-/l/` `distribute-lft-out--`

Counts

4 → 129

Calls

4 calls:

14.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
6.0ms	(/ (/ 1.0 x) 9.0)
5.0ms	(/ y (* 3.0 (sqrt x)))
5.0ms	(* 3.0 (sqrt x))

series161.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
17.0ms	(/ (/ 1.0 x) 9.0)
65.0ms	(/ y (* 3.0 (sqrt x)))
45.0ms	(* 3.0 (sqrt x))

simplify72.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	660	806
1	2588	746
2	5001	746

prune314.0ms

Filtered

141 candidates to 108 candidates (76.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	140	1	141
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	141	9	150

Merged error: 0b

Counts

150 → 9

regimes69.0ms

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	21	13
1	21	13

end0.0ms

sample809.0ms

Algorithm

intervals

Results

280.0ms	8521×	body	80	valid
250.0ms	8281×	body	80	nan