Details

sample32.0ms

Algorithm

intervals

Results

8.0ms	272×	body	80	valid
8.0ms	280×	body	80	nan

simplify20.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite46.0ms

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:

11.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
14.0ms	(/ y (* 3.0 (sqrt x)))
10.0ms	(* 3.0 (sqrt x))
9.0ms	(/ 1.0 (* x 9.0))

series147.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
60.0ms	(/ y (* 3.0 (sqrt x)))
36.0ms	(* 3.0 (sqrt x))
17.0ms	(/ 1.0 (* x 9.0))

simplify52.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	425	414
1	1696	363
2	5002	355

prune208.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (/ 1.0 (* x 9.0)))
0.3b	(/ (/ y 3.0) (sqrt x))
0.4b	(/ 1.0 (* x 9.0))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 147

Calls

3 calls:

11.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
13.0ms	(/ (/ y 3.0) (sqrt x))
8.0ms	(/ 1.0 (* x 9.0))

series110.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
60.0ms	(/ (/ y 3.0) (sqrt x))
17.0ms	(/ 1.0 (* x 9.0))

simplify64.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	663	1183
1	2595	1105
2	5001	1105

prune349.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite61.0ms

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:

21.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
9.0ms	(/ y (* 3.0 (sqrt x)))
10.0ms	(* 3.0 (sqrt x))
15.0ms	(/ (/ 1.0 x) 9.0)

series153.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
61.0ms	(/ y (* 3.0 (sqrt x)))
38.0ms	(* 3.0 (sqrt x))
21.0ms	(/ (/ 1.0 x) 9.0)

simplify65.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 1 (16.0ms)

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

prune355.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite173.0ms

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:

17.0ms	(/ (/ y (cbrt 3.0)) (sqrt x))
109.0ms	(* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (/ y (cbrt 3.0)) (sqrt x)))
6.0ms	(/ y (cbrt 3.0))
8.0ms	(/ 1.0 (* x 9.0))

series361.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(/ (/ y (cbrt 3.0)) (sqrt x))
126.0ms	(* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (/ y (cbrt 3.0)) (sqrt x)))
63.0ms	(/ y (cbrt 3.0))
18.0ms	(/ 1.0 (* x 9.0))

simplify76.0ms

Algorithm

egg-herbie

Counts

453 → 453

Iterations

Useful iterations: 1 (39.0ms)

Iter	Nodes	Cost
0	1763	4959
1	5001	4601

prune1.2s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes58.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	7
1	13	7

end0.0ms

sample863.0ms

Algorithm

intervals

Results

271.0ms	8512×	body	80	valid
231.0ms	8608×	body	80	nan