Details

sample37.0ms

Algorithm

intervals

Results

11.0ms	271×	body	80	nan
9.0ms	279×	body	80	valid

simplify25.0ms

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

rewrite125.0ms

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:

97.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
9.0ms	(/ y (* 3.0 (sqrt x)))
7.0ms	(/ 1.0 (* x 9.0))
10.0ms	(* 3.0 (sqrt x))

series167.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
61.0ms	(/ y (* 3.0 (sqrt x)))
17.0ms	(/ 1.0 (* x 9.0))
39.0ms	(* 3.0 (sqrt x))

simplify64.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (55.0ms)

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

prune245.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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))

rewrite147.0ms

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:

120.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
7.0ms	(/ 1.0 (* x 9.0))
13.0ms	(/ (/ y 3.0) (sqrt x))

series129.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
17.0ms	(/ 1.0 (* x 9.0))
63.0ms	(/ (/ y 3.0) (sqrt x))

simplify81.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 1 (21.0ms)

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

prune398.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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))

rewrite268.0ms

Algorithm

rewrite-expression-head

Rules

222×	`times-frac`
138×	`add-sqr-sqrt`
127×	`*-un-lft-identity`
122×	`add-cube-cbrt`
44×	`sqrt-prod`
26×	`associate-/l*`
13×	`add-exp-log` `add-cbrt-cube` `div-inv`
9×	`associate-/r*`
8×	`add-log-exp`
6×	`cbrt-undiv` `div-exp`
5×	`difference-of-squares`
3×	`pow1` `diff-log` `distribute-lft-out--`
2×	`sub-neg` `flip3--` `frac-2neg` `associate--l+` `clear-num` `frac-sub` `flip--` `associate-/l/`
1×	`associate--l-`

Counts

3 → 207

Calls

3 calls:

234.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
11.0ms	(/ (/ 1.0 x) 9.0)
13.0ms	(/ (/ y 3.0) (sqrt x))

series129.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
17.0ms	(/ (/ 1.0 x) 9.0)
64.0ms	(/ (/ y 3.0) (sqrt x))

simplify99.0ms

Algorithm

egg-herbie

Counts

216 → 216

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	979	1807
1	3764	1718
2	5002	1718

prune561.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- 1.0 (/ 1.0 (* x 9.0))) (* y (/ (/ 1 3.0) (sqrt x))))
0.2b	(/ 1.0 (* x 9.0))
0.3b	(* y (/ (/ 1 3.0) (sqrt x)))
0.4b	(/ (/ 1 3.0) (sqrt x))

rewrite172.0ms

Algorithm

rewrite-expression-head

Rules

286×	`times-frac`
175×	`add-sqr-sqrt`
155×	`*-un-lft-identity`
153×	`add-cube-cbrt`
84×	`sqrt-prod`
82×	`associate-r`
33×	`add-exp-log`
23×	`add-cbrt-cube`
16×	`div-inv` `associate-/l*`
14×	`div-exp`
9×	`add-log-exp`
8×	`cbrt-undiv`
7×	`associate-/r*` `unswap-sqr`
6×	`pow1` `prod-exp`
4×	`cbrt-unprod`
3×	`diff-log` `associate-r/` `associate-l*`
2×	`sub-neg` `rec-exp` `flip3--` `frac-2neg` `1-exp` `associate--l+` `clear-num` `frac-sub` `flip--`
1×	`associate--l-` `pow-prod-down` `*-commutative` `associate-/l/`

Counts

4 → 263

Calls

4 calls:

89.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (* y (/ (/ 1 3.0) (sqrt x))))
8.0ms	(/ 1.0 (* x 9.0))
44.0ms	(* y (/ (/ 1 3.0) (sqrt x)))
14.0ms	(/ (/ 1 3.0) (sqrt x))

series165.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (* y (/ (/ 1 3.0) (sqrt x))))
17.0ms	(/ 1.0 (* x 9.0))
63.0ms	(* y (/ (/ 1 3.0) (sqrt x)))
40.0ms	(/ (/ 1 3.0) (sqrt x))

simplify131.0ms

Algorithm

egg-herbie

Counts

275 → 275

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	1067	2131
1	4905	1885
2	5001	1885

prune555.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes53.0ms

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	12	7

end0.0ms

sample882.0ms

Algorithm

intervals

Results

264.0ms	8537×	body	80	valid
245.0ms	8397×	body	80	nan