Details

sample32.0ms

Algorithm

intervals

Results

9.0ms	316×	body	80	nan
9.0ms	277×	body	80	valid

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (/ 1.0 (* x 9.0)))
0.2b	(/ y (* 3.0 (sqrt x)))
0.3b	(* 3.0 (sqrt x))
0.7b	(/ 1.0 (* x 9.0))

rewrite19.0ms

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

series146.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
56.0ms	(/ y (* 3.0 (sqrt x)))
41.0ms	(* 3.0 (sqrt x))
16.0ms	(/ 1.0 (* x 9.0))

simplify45.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (39.0ms)

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

prune210.0ms

Filtered

90 candidates to 64 candidates (71.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (/ 1.0 (* x 9.0)))
0.2b	(/ y (sqrt x))
0.4b	(* (/ 1 3.0) (/ y (sqrt x)))
0.7b	(/ 1.0 (* x 9.0))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

70×	`add-sqr-sqrt`
60×	`times-frac`
46×	`*-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` `unswap-sqr`
7×	`cbrt-undiv` `associate-/r*`
6×	`pow1` `associate-/l*` `add-log-exp`
5×	`cbrt-unprod`
4×	`div-inv`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`frac-times` `sub-neg` `flip3--` `diff-log` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 142

Calls

4 calls:

5.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
3.0ms	(/ y (sqrt x))
19.0ms	(* (/ 1 3.0) (/ y (sqrt x)))
3.0ms	(/ 1.0 (* x 9.0))

series148.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
43.0ms	(/ y (sqrt x))
56.0ms	(* (/ 1 3.0) (/ y (sqrt x)))
19.0ms	(/ 1.0 (* x 9.0))

simplify67.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	637	901
1	2885	782
2	5001	775

prune352.0ms

Filtered

154 candidates to 103 candidates (66.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (/ 1.0 (* x 9.0)))
0.2b	(/ 1 (sqrt x))
0.3b	(* (/ y 3.0) (/ 1 (sqrt x)))
0.7b	(/ 1.0 (* x 9.0))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

72×	`add-sqr-sqrt`
61×	`times-frac`
47×	`*-un-lft-identity`
41×	`add-cube-cbrt`
35×	`add-exp-log`
25×	`sqrt-prod`
23×	`add-cbrt-cube`
22×	`associate-r`
13×	`associate-l`
12×	`div-exp`
10×	`unswap-sqr`
9×	`prod-exp`
8×	`pow1`
7×	`cbrt-undiv` `associate-/r*`
6×	`associate-/l*` `add-log-exp`
5×	`cbrt-unprod`
4×	`div-inv`
3×	`rec-exp` `pow-flip` `1-exp`
2×	`frac-2neg` `clear-num`
1×	`frac-times` `sub-neg` `flip3--` `sqrt-pow1` `pow1/2` `diff-log` `associate-r/` `pow-prod-down` `associate-l/` `un-div-inv` `*-commutative` `flip--` `distribute-lft-out--` `inv-pow` `difference-of-squares`

Counts

4 → 150

Calls

4 calls:

5.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
6.0ms	(/ 1 (sqrt x))
20.0ms	(* (/ y 3.0) (/ 1 (sqrt x)))
3.0ms	(/ 1.0 (* x 9.0))

series133.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
26.0ms	(/ 1 (sqrt x))
59.0ms	(* (/ y 3.0) (/ 1 (sqrt x)))
16.0ms	(/ 1.0 (* x 9.0))

simplify72.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	702	910
1	3246	780
2	5002	731

prune306.0ms

Filtered

162 candidates to 95 candidates (58.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

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

rewrite35.0ms

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:

16.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
4.0ms	(/ y (* 3.0 (sqrt x)))
6.0ms	(/ (/ 1.0 x) 9.0)
5.0ms	(* 3.0 (sqrt x))

series142.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
57.0ms	(/ y (* 3.0 (sqrt x)))
16.0ms	(/ (/ 1.0 x) 9.0)
39.0ms	(* 3.0 (sqrt x))

simplify61.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 1 (15.0ms)

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

prune352.0ms

Filtered

141 candidates to 107 candidates (75.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes57.0ms

Accuracy

0% (0.2b 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	18	8
1	18	8

end0.0ms

sample840.0ms

Algorithm

intervals

Results

287.0ms	8538×	body	80	valid
261.0ms	8530×	body	80	nan