Details

sample48.0ms

Algorithm

intervals

Results

17.0ms	277×	body	80	valid
16.0ms	305×	body	80	nan

simplify17.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

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

rewrite58.0ms

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:

45.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
4.0ms	(* 3.0 (sqrt x))
4.0ms	(/ y (* 3.0 (sqrt x)))
3.0ms	(/ 1.0 (* x 9.0))

series163.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
37.0ms	(* 3.0 (sqrt x))
61.0ms	(/ y (* 3.0 (sqrt x)))
16.0ms	(/ 1.0 (* x 9.0))

simplify50.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (43.0ms)

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

prune215.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite88.0ms

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:

71.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
3.0ms	(/ 1.0 (* x 9.0))
7.0ms	(/ (/ y 3.0) (sqrt x))

series126.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
22.0ms	(/ 1.0 (* x 9.0))
57.0ms	(/ (/ y 3.0) (sqrt x))

simplify71.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	760	1441
1	2924	1358
2	5001	1358

prune393.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1.0 (* x 9.0))
0.3b	(/ (sqrt x) (/ y (cbrt 3.0)))
0.3b	(/ y (cbrt 3.0))
0.6b	(/ (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt x) (/ y (cbrt 3.0))))

rewrite206.0ms

Algorithm

rewrite-expression-head

Rules

3572×	`times-frac`
1418×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
597×	`sqrt-prod`
507×	`cbrt-prod`
205×	`div-inv`
166×	`associate-/r*`
94×	`add-exp-log`
60×	`div-exp`
41×	`add-cbrt-cube`
30×	`cbrt-undiv`
19×	`associate-/l*`
10×	`prod-exp` `associate-/r/`
6×	`rec-exp` `1-exp`
4×	`pow1` `frac-2neg` `clear-num` `cbrt-unprod` `add-log-exp`
1×	`associate-/l/`

Counts

4 → 1380

Calls

4 calls:

3.0ms	(/ 1.0 (* x 9.0))
9.0ms	(/ (sqrt x) (/ y (cbrt 3.0)))
7.0ms	(/ y (cbrt 3.0))
49.0ms	(/ (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt x) (/ y (cbrt 3.0))))

series532.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(/ 1.0 (* x 9.0))
136.0ms	(/ (sqrt x) (/ y (cbrt 3.0)))
58.0ms	(/ y (cbrt 3.0))
321.0ms	(/ (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt x) (/ y (cbrt 3.0))))

simplify270.0ms

Algorithm

egg-herbie

Counts

1392 → 1392

Iterations

Useful iterations: 1 (75.0ms)

Iter	Nodes	Cost
0	4729	25371
1	5002	24598

prune3.3s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (sqrt x) y)
0.3b	(/ 1.0 (* x 9.0))
0.4b	(/ (/ (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt x) y)) (cbrt 3.0))
0.6b	(/ (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt x) y))

rewrite229.0ms

Algorithm

rewrite-expression-head

Rules

3764×	`times-frac`
1443×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
525×	`sqrt-prod`
480×	`cbrt-prod`
245×	`div-inv`
175×	`associate-/l*`
117×	`add-exp-log`
76×	`div-exp`
46×	`add-cbrt-cube`
36×	`cbrt-undiv`
32×	`associate-/r*`
13×	`prod-exp`
8×	`rec-exp` `1-exp` `associate-/r/`
5×	`cbrt-unprod`
4×	`pow1` `frac-2neg` `clear-num` `add-log-exp`
2×	`associate-/l/`

Counts

4 → 1427

Calls

4 calls:

3.0ms	(/ (sqrt x) y)
3.0ms	(/ 1.0 (* x 9.0))
64.0ms	(/ (/ (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt x) y)) (cbrt 3.0))
17.0ms	(/ (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt x) y))

series439.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(/ (sqrt x) y)
16.0ms	(/ 1.0 (* x 9.0))
117.0ms	(/ (/ (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt x) y)) (cbrt 3.0))
237.0ms	(/ (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt x) y))

simplify276.0ms

Algorithm

egg-herbie

Counts

1439 → 1439

Iterations

Useful iterations: 1 (64.0ms)

Iter	Nodes	Cost
0	4165	26415
1	5001	25747

prune3.5s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes57.0ms

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

sample1.3s

Algorithm

intervals

Results

540.0ms	8537×	body	80	valid
469.0ms	8649×	body	80	nan