Details

sample52.0ms

Algorithm

intervals

Results

15.0ms	275×	body	80	valid
14.0ms	293×	body	80	nan

simplify30.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize19.0ms

Local error

Found 4 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)))
0.3b	(* 3.0 (sqrt x))

rewrite35.0ms

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:

15.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
4.0ms	(/ 1.0 (* x 9.0))
5.0ms	(/ y (* 3.0 (sqrt x)))
5.0ms	(* 3.0 (sqrt x))

series166.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
16.0ms	(/ 1.0 (* x 9.0))
62.0ms	(/ y (* 3.0 (sqrt x)))
43.0ms	(* 3.0 (sqrt x))

simplify101.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 2 (81.0ms)

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

prune370.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 111

Calls

4 calls:

5.0ms	(/ 1 (* 3.0 (sqrt x)))
9.0ms	(* y (/ 1 (* 3.0 (sqrt x))))
4.0ms	(/ 1.0 (* x 9.0))
5.0ms	(* 3.0 (sqrt x))

series158.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(/ 1 (* 3.0 (sqrt x)))
56.0ms	(* y (/ 1 (* 3.0 (sqrt x))))
20.0ms	(/ 1.0 (* x 9.0))
37.0ms	(* 3.0 (sqrt x))

simplify61.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	527	568
1	2359	472
2	5001	456

prune267.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

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:

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

series155.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(/ 1 (* 3.0 (sqrt x)))
62.0ms	(* y (/ 1 (* 3.0 (sqrt x))))
16.0ms	(/ (/ 1.0 x) 9.0)
39.0ms	(* 3.0 (sqrt x))

simplify83.0ms

Algorithm

egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	744	933
1	3196	834
2	5002	818

prune413.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- 1.0 (/ 0.1111111111111111 x)) (* y (/ 1 (* 3.0 (sqrt x)))))
0.2b	(/ 1 (* 3.0 (sqrt x)))
0.2b	(* y (/ 1 (* 3.0 (sqrt x))))
0.3b	(* 3.0 (sqrt x))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-sqr-sqrt`
52×	`*-un-lft-identity`
48×	`add-cube-cbrt`
45×	`prod-diff`
41×	`associate--l+`
36×	`add-exp-log`
35×	`times-frac`
20×	`add-cbrt-cube`
14×	`prod-exp`
13×	`associate-r`
11×	`pow1`
9×	`add-log-exp`
8×	`div-exp`
6×	`fma-neg` `associate-l` `cbrt-unprod`
5×	`div-inv`
4×	`cbrt-undiv` `expm1-log1p-u` `rec-exp` `1-exp` `sqrt-prod` `frac-sub` `log1p-expm1-u` `difference-of-squares`
3×	`flip3--` `diff-log` `associate-r/` `pow-prod-down` `un-div-inv` `flip--` `associate-/l` `unswap-sqr`
2×	`sub-neg` `pow-flip` `*-commutative` `distribute-lft-out--`
1×	`associate--l-` `frac-2neg` `clear-num` `associate-/r*` `inv-pow`

Counts

4 → 161

Calls

4 calls:

14.0ms	(- (- 1.0 (/ 0.1111111111111111 x)) (* y (/ 1 (* 3.0 (sqrt x)))))
6.0ms	(/ 1 (* 3.0 (sqrt x)))
9.0ms	(* y (/ 1 (* 3.0 (sqrt x))))
5.0ms	(* 3.0 (sqrt x))

series191.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(- (- 1.0 (/ 0.1111111111111111 x)) (* y (/ 1 (* 3.0 (sqrt x)))))
45.0ms	(/ 1 (* 3.0 (sqrt x)))
57.0ms	(* y (/ 1 (* 3.0 (sqrt x))))
45.0ms	(* 3.0 (sqrt x))

simplify100.0ms

Algorithm

egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 2 (85.0ms)

Iter	Nodes	Cost
0	822	1632
1	3541	1201
2	5002	1174

prune441.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes97.0ms

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	17	7
1	17	7

end0.0ms

sample782.0ms

Algorithm

intervals

Results

269.0ms	8516×	body	80	valid
253.0ms	8421×	body	80	nan