Details

sample36.0ms

Algorithm

intervals

Results

11.0ms	297×	body	80	nan
11.0ms	271×	body	80	valid

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

prune5.0ms

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	(/ 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))

series162.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
16.0ms	(/ 1.0 (* x 9.0))
60.0ms	(/ y (* 3.0 (sqrt x)))
37.0ms	(* 3.0 (sqrt x))

simplify55.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (47.0ms)

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

prune212.0ms

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 3 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))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

150×	`times-frac`
98×	`add-sqr-sqrt`
87×	`*-un-lft-identity`
82×	`add-cube-cbrt`
44×	`sqrt-prod`
16×	`associate-/l*`
13×	`add-exp-log` `add-cbrt-cube`
9×	`div-inv`
8×	`add-log-exp`
7×	`associate-/r*`
5×	`cbrt-undiv` `div-exp` `difference-of-squares`
3×	`pow1` `diff-log` `distribute-lft-out--`
2×	`sub-neg` `flip3--` `frac-2neg` `associate--l+` `clear-num` `frac-sub` `flip--`
1×	`associate--l-` `prod-exp` `cbrt-unprod` `associate-/l/`

Counts

3 → 158

Calls

3 calls:

32.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
4.0ms	(/ 1.0 (* x 9.0))
8.0ms	(/ (/ y 3.0) (sqrt x))

series122.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
21.0ms	(/ 1.0 (* x 9.0))
56.0ms	(/ (/ y 3.0) (sqrt x))

simplify77.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 1 (19.0ms)

Iter	Nodes	Cost
0	760	1441
1	2924	1358
2	5002	1358

prune312.0ms

Filtered

167 candidates to 112 candidates (67.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	166	1	167
Fresh	1	8	9
Picked	1	0	1
Done	0	0	0
Total	168	9	177

Merged error: 0.0b

Counts

177 → 9

localize11.0ms

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))
0.3b	(* (/ 1 3.0) (/ y (sqrt x)))

rewrite41.0ms

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:

8.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (* (/ 1 3.0) (/ y (sqrt x))))
4.0ms	(/ y (sqrt x))
8.0ms	(/ 1.0 (* x 9.0))
14.0ms	(* (/ 1 3.0) (/ y (sqrt x)))

series175.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (* (/ 1 3.0) (/ y (sqrt x))))
42.0ms	(/ y (sqrt x))
22.0ms	(/ 1.0 (* x 9.0))
59.0ms	(* (/ 1 3.0) (/ y (sqrt x)))

simplify91.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 2 (76.0ms)

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

prune315.0ms

Filtered

162 candidates to 112 candidates (69.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	162	0	162
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	162	9	171

Merged error: 0.0b

Counts

171 → 9

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (/ 0.1111111111111111 x))
0.0b	(- (- 1.0 (/ 0.1111111111111111 x)) (/ (/ y 3.0) (sqrt x)))
0.3b	(/ (/ y 3.0) (sqrt x))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

148×	`times-frac`
101×	`add-sqr-sqrt`
87×	`*-un-lft-identity`
80×	`add-cube-cbrt`
44×	`sqrt-prod`
13×	`associate-/l*`
10×	`add-log-exp`
8×	`add-exp-log` `add-cbrt-cube` `div-inv`
7×	`difference-of-squares`
6×	`associate-/r*`
4×	`diff-log` `distribute-lft-out--`
3×	`pow1` `cbrt-undiv` `sub-neg` `flip3--` `div-exp` `flip--`
2×	`associate--l+` `frac-sub`
1×	`associate--l-` `frac-2neg` `clear-num` `associate-/l/`

Counts

3 → 152

Calls

3 calls:

6.0ms	(- 1.0 (/ 0.1111111111111111 x))
36.0ms	(- (- 1.0 (/ 0.1111111111111111 x)) (/ (/ y 3.0) (sqrt x)))
8.0ms	(/ (/ y 3.0) (sqrt x))

series142.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(- 1.0 (/ 0.1111111111111111 x))
53.0ms	(- (- 1.0 (/ 0.1111111111111111 x)) (/ (/ y 3.0) (sqrt x)))
57.0ms	(/ (/ y 3.0) (sqrt x))

simplify69.0ms

Algorithm

egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	698	1400
1	2516	1324
2	5002	1324

prune288.0ms

Filtered

161 candidates to 107 candidates (66.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	159	2	161
Fresh	2	5	7
Picked	1	0	1
Done	0	1	1
Total	162	8	170

Merged error: 0.0b

Counts

170 → 8

regimes97.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	8
1	18	8

end0.0ms

sample975.0ms

Algorithm

intervals

Results

355.0ms	8518×	body	80	valid
333.0ms	8477×	body	80	nan

Details

sample36.0ms

simplify18.0ms

prune5.0ms

localize9.0ms

rewrite26.0ms

series162.0ms

simplify55.0ms

prune212.0ms

localize9.0ms

rewrite54.0ms

series122.0ms

simplify77.0ms

prune312.0ms

localize11.0ms

rewrite41.0ms

series175.0ms

simplify91.0ms

prune315.0ms

localize8.0ms

rewrite60.0ms

series142.0ms

simplify69.0ms

prune288.0ms

regimes97.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample975.0ms

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