Details

sample30.0ms

Algorithm

intervals

Results

9.0ms	272×	body	80	valid
8.0ms	273×	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

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

rewrite30.0ms

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	(* 3.0 (sqrt x))
8.0ms	(/ y (* 3.0 (sqrt x)))

series166.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
16.0ms	(/ 1.0 (* x 9.0))
42.0ms	(* 3.0 (sqrt x))
59.0ms	(/ y (* 3.0 (sqrt x)))

simplify53.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (45.0ms)

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

prune196.0ms

Filtered

97 candidates to 70 candidates (72.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	88	9	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	89	9	98

Merged error: 0.0b

Counts

98 → 9

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))

rewrite59.0ms

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)))
34.0ms	(- (- 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))

series159.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
48.0ms	(- (- 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))

simplify72.0ms

Algorithm

egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 1 (17.0ms)

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

prune336.0ms

Filtered

184 candidates to 124 candidates (67.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	182	2	184
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	184	9	193

Merged error: 0.0b

Counts

193 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-exp-log`
25×	`add-cbrt-cube`
20×	`add-sqr-sqrt`
15×	`prod-exp`
14×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
11×	`pow1`
10×	`div-exp`
9×	`times-frac`
7×	`cbrt-unprod`
6×	`cbrt-undiv` `associate-l` `associate-/l*`
4×	`rec-exp` `1-exp` `sqrt-prod` `add-log-exp`
3×	`pow-prod-down` `div-inv` `unswap-sqr`
2×	`pow-flip` `frac-2neg` `clear-num` `associate-/r` `-commutative`
1×	`associate-*r/` `un-div-inv` `inv-pow`

Counts

4 → 103

Calls

4 calls:

4.0ms	(/ 1.0 (* x 9.0))
5.0ms	(* 3.0 (sqrt x))
5.0ms	(/ 1 (* 3.0 (sqrt x)))
8.0ms	(* y (/ 1 (* 3.0 (sqrt x))))

series158.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(/ 1.0 (* x 9.0))
41.0ms	(* 3.0 (sqrt x))
39.0ms	(/ 1 (* 3.0 (sqrt x)))
61.0ms	(* y (/ 1 (* 3.0 (sqrt x))))

simplify58.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	505	538
1	2302	442
2	5001	432

prune195.0ms

Filtered

115 candidates to 72 candidates (62.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	115	9	124

Merged error: 0.0b

Counts

124 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- 1.0 (/ 1.0 (* x 9.0))) (* (/ 1 3.0) (/ y (sqrt x))))
0.2b	(/ y (sqrt x))
0.2b	(/ 1.0 (* x 9.0))
0.4b	(* (/ 1 3.0) (/ y (sqrt x)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

68×	`add-sqr-sqrt`
60×	`times-frac`
44×	`*-un-lft-identity`
41×	`add-cube-cbrt`
33×	`add-exp-log`
24×	`sqrt-prod`
23×	`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*`
6×	`pow1` `frac-sub` `associate-/l*`
5×	`cbrt-unprod`
4×	`flip3--` `flip--` `div-inv`
3×	`frac-times` `diff-log` `associate-r/` `associate-l/`
2×	`sub-neg` `rec-exp` `frac-2neg` `1-exp` `associate--l+` `clear-num`
1×	`associate--l-` `pow-prod-down` `*-commutative`

Counts

4 → 150

Calls

4 calls:

10.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (* (/ 1 3.0) (/ y (sqrt x))))
4.0ms	(/ y (sqrt x))
4.0ms	(/ 1.0 (* x 9.0))
14.0ms	(* (/ 1 3.0) (/ y (sqrt x)))

series169.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (* (/ 1 3.0) (/ y (sqrt x))))
41.0ms	(/ y (sqrt x))
20.0ms	(/ 1.0 (* x 9.0))
59.0ms	(* (/ 1 3.0) (/ y (sqrt x)))

simplify83.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	767	1171
1	3524	1033
2	5001	1025

prune269.0ms

Filtered

162 candidates to 110 candidates (67.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	160	2	162
Fresh	2	5	7
Picked	1	0	1
Done	0	1	1
Total	163	8	171

Merged error: 0b

Counts

171 → 8

regimes78.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	8
1	17	8

end0.0ms

sample778.0ms

Algorithm

intervals

Results

272.0ms	8513×	body	80	valid
244.0ms	8431×	body	80	nan