Details

sample57.0ms

Algorithm

intervals

Results

23.0ms	275×	body	80	valid
21.0ms	300×	body	80	nan

simplify18.0ms

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

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

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-sqr-sqrt`
63×	`*-un-lft-identity`
56×	`prod-diff`
42×	`add-cube-cbrt`
30×	`times-frac`
23×	`associate--l+`
16×	`add-exp-log` `add-cbrt-cube`
11×	`distribute-lft-out--`
10×	`div-inv`
9×	`add-log-exp` `difference-of-squares`
6×	`pow1` `associate-r` `associate-/l*`
5×	`fma-neg`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `sqrt-prod` `log1p-expm1-u`
3×	`diff-log` `associate-l` `prod-exp` `cbrt-unprod`
2×	`sub-neg` `flip3--` `frac-2neg` `clear-num` `associate-/r*` `frac-sub` `flip--` `unswap-sqr`
1×	`associate--l-` `pow-prod-down` `*-commutative`

Counts

4 → 154

Calls

4 calls:

55.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
4.0ms	(/ y (* 3.0 (sqrt x)))
4.0ms	(* 3.0 (sqrt x))
3.0ms	(/ 1.0 (* x 9.0))

series153.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
55.0ms	(/ y (* 3.0 (sqrt x)))
39.0ms	(* 3.0 (sqrt x))
15.0ms	(/ 1.0 (* x 9.0))

simplify90.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	768	2009
1	3077	1504
2	5002	1453

prune349.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite237.0ms

Algorithm

rewrite-expression-head

Rules

321×	`times-frac`
299×	`add-sqr-sqrt`
242×	`*-un-lft-identity`
221×	`add-cube-cbrt`
178×	`prod-diff`
131×	`associate--l+`
25×	`div-inv` `difference-of-squares`
16×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
11×	`distribute-lft-out--`
9×	`add-log-exp`
7×	`fma-neg`
6×	`pow1` `associate-r`
5×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `associate-/r*` `sqrt-prod` `log1p-expm1-u`
3×	`diff-log` `associate-l`
2×	`sub-neg` `flip3--` `frac-2neg` `prod-exp` `clear-num` `frac-sub` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`associate--l-` `pow-prod-down` `*-commutative` `associate-/l/`

Counts

4 → 327

Calls

4 calls:

197.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
4.0ms	(/ y (* 3.0 (sqrt x)))
4.0ms	(* 3.0 (sqrt x))
6.0ms	(/ (/ 1.0 x) 9.0)

series157.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
59.0ms	(/ y (* 3.0 (sqrt x)))
38.0ms	(* 3.0 (sqrt x))
17.0ms	(/ (/ 1.0 x) 9.0)

simplify79.0ms

Algorithm

egg-herbie

Counts

339 → 339

Iterations

Useful iterations: 1 (33.0ms)

Iter	Nodes	Cost
0	1497	5667
1	5001	4916

prune1.1s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

81×	`times-frac`
60×	`add-sqr-sqrt`
54×	`add-cube-cbrt` `*-un-lft-identity`
41×	`add-exp-log`
25×	`add-cbrt-cube`
16×	`associate-/l*`
14×	`prod-exp`
13×	`associate-r`
11×	`pow1` `div-exp`
7×	`cbrt-undiv` `div-inv`
6×	`associate-l` `cbrt-unprod`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `associate-/r*` `sqrt-prod` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `unswap-sqr`
2×	`pow-flip` `frac-2neg` `clear-num` `*-commutative`
1×	`associate-*r/` `un-div-inv` `associate-/l/` `inv-pow`

Counts

4 → 160

Calls

4 calls:

19.0ms	(* y (/ 1 (* 3.0 (sqrt x))))
6.0ms	(/ 1 (* 3.0 (sqrt x)))
4.0ms	(* 3.0 (sqrt x))
6.0ms	(/ (/ 1.0 x) 9.0)

series172.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(* y (/ 1 (* 3.0 (sqrt x))))
43.0ms	(/ 1 (* 3.0 (sqrt x)))
37.0ms	(* 3.0 (sqrt x))
16.0ms	(/ (/ 1.0 x) 9.0)

simplify101.0ms

Algorithm

egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 2 (85.0ms)

Iter	Nodes	Cost
0	744	933
1	3196	834
2	5001	818

prune391.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* 3.0 (sqrt x)) y)
0.3b	(* 3.0 (sqrt x))
0.3b	(/ 1.0 (* x 9.0))
0.5b	(/ 1 (/ (* 3.0 (sqrt x)) y))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

39×	`times-frac`
37×	`add-exp-log`
31×	`add-sqr-sqrt`
27×	`add-cube-cbrt` `*-un-lft-identity`
25×	`add-cbrt-cube`
16×	`div-exp`
11×	`associate-/r*`
9×	`cbrt-undiv`
7×	`pow1` `div-inv` `associate-/l*`
6×	`associate-r` `prod-exp`
4×	`expm1-log1p-u` `sqrt-prod` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `frac-2neg` `1-exp` `associate-l` `clear-num`
2×	`unswap-sqr`
1×	`pow-flip` `pow-prod-down` `associate-/r/` `*-commutative` `inv-pow`

Counts

4 → 128

Calls

4 calls:

4.0ms	(/ (* 3.0 (sqrt x)) y)
4.0ms	(* 3.0 (sqrt x))
3.0ms	(/ 1.0 (* x 9.0))
7.0ms	(/ 1 (/ (* 3.0 (sqrt x)) y))

series178.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(/ (* 3.0 (sqrt x)) y)
36.0ms	(* 3.0 (sqrt x))
15.0ms	(/ 1.0 (* x 9.0))
58.0ms	(/ 1 (/ (* 3.0 (sqrt x)) y))

simplify71.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	630	778
1	2976	667
2	5001	623

prune255.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes50.0ms

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	18	8
1	18	8

end0.0ms

sample1.6s

Algorithm

intervals

Results

727.0ms	8504×	body	80	valid
610.0ms	8539×	body	80	nan