Details

sample29.0ms

Algorithm

intervals

Results

8.0ms	272×	body	80	valid
8.0ms	273×	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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.2b

Counts

2 → 1

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

rewrite36.0ms

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:

13.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
4.0ms	(/ 1.0 (* x 9.0))
5.0ms	(* 3.0 (sqrt x))
8.0ms	(/ y (* 3.0 (sqrt x)))

series155.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
15.0ms	(/ 1.0 (* x 9.0))
36.0ms	(* 3.0 (sqrt x))
58.0ms	(/ y (* 3.0 (sqrt x)))

simplify94.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 2 (76.0ms)

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

prune321.0ms

Filtered

166 candidates to 109 candidates (65.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	157	9	166
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	158	9	167

Merged error: 0.0b

Counts

167 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (/ 1.0 (* x 9.0)))
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))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

828×	`times-frac`
722×	`add-sqr-sqrt`
711×	`*-un-lft-identity`
538×	`add-cube-cbrt`
452×	`prod-diff`
239×	`sqrt-prod`
89×	`difference-of-squares`
87×	`distribute-lft-out--`
50×	`div-inv`
23×	`associate--l+`
16×	`associate-/l*`
14×	`add-exp-log` `add-cbrt-cube`
11×	`add-log-exp`
8×	`fma-neg`
7×	`associate-/r*`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `expm1-log1p-u` `diff-log` `log1p-expm1-u`
3×	`sub-neg` `flip3--` `flip--`
2×	`frac-2neg` `clear-num` `frac-sub`
1×	`associate--l-` `prod-exp` `cbrt-unprod` `associate-/l/`

Counts

4 → 640

Calls

4 calls:

6.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
43.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
4.0ms	(/ 1.0 (* x 9.0))
10.0ms	(/ (/ y 3.0) (sqrt x))

series154.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
45.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
15.0ms	(/ 1.0 (* x 9.0))
63.0ms	(/ (/ y 3.0) (sqrt x))

simplify196.0ms

Algorithm

egg-herbie

Counts

652 → 652

Iterations

Useful iterations: 1 (45.0ms)

Iter	Nodes	Cost
0	2390	21085
1	5001	16927

prune1.2s

Filtered

652 candidates to 307 candidates (47.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	652	0	652
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	652	9	661

Merged error: 0.0b

Counts

661 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

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:

4.0ms	(/ 1.0 (* x 9.0))
5.0ms	(* 3.0 (sqrt x))
5.0ms	(/ 1 (* 3.0 (sqrt x)))
8.0ms	(* y (/ 1 (* 3.0 (sqrt x))))

series152.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(/ 1.0 (* x 9.0))
36.0ms	(* 3.0 (sqrt x))
42.0ms	(/ 1 (* 3.0 (sqrt x)))
59.0ms	(* y (/ 1 (* 3.0 (sqrt x))))

simplify59.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (51.0ms)

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

prune210.0ms

Filtered

123 candidates to 80 candidates (65.0%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	123	9	132

Merged error: 0.0b

Counts

132 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 189

Calls

4 calls:

10.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (* (/ 1 3.0) (/ y (sqrt x))))
4.0ms	(/ y (sqrt x))
4.0ms	(/ 1.0 (* x 9.0))
13.0ms	(* (/ 1 3.0) (/ y (sqrt x)))

series177.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (* (/ 1 3.0) (/ y (sqrt x))))
50.0ms	(/ y (sqrt x))
16.0ms	(/ 1.0 (* x 9.0))
65.0ms	(* (/ 1 3.0) (/ y (sqrt x)))

simplify114.0ms

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 2 (91.0ms)

Iter	Nodes	Cost
0	900	1708
1	4081	1417
2	5002	1396

prune385.0ms

Filtered

201 candidates to 146 candidates (72.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	197	4	201
Fresh	3	3	6
Picked	1	0	1
Done	1	1	2
Total	202	8	210

Merged error: 0b

Counts

210 → 8

regimes62.0ms

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	17	8
1	17	8

end0.0ms

sample778.0ms

Algorithm

intervals

Results

268.0ms	8513×	body	80	valid
247.0ms	8431×	body	80	nan