Details

sample36.0ms

Algorithm

intervals

Results

11.0ms	292×	body	80	nan
11.0ms	271×	body	80	valid

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
25×	`add-cube-cbrt`
21×	`prod-diff`
16×	`add-exp-log` `add-cbrt-cube`
15×	`times-frac`
6×	`pow1` `associate-r` `associate-/l*` `add-log-exp`
5×	`div-inv`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `sqrt-prod` `log1p-expm1-u`
3×	`fma-neg` `associate-l` `prod-exp` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/r*` `unswap-sqr`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `*-commutative` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 110

Calls

4 calls:

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

series143.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
15.0ms	(/ 1.0 (* x 9.0))
60.0ms	(/ y (* 3.0 (sqrt x)))
37.0ms	(* 3.0 (sqrt x))

simplify66.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	571	871
1	2234	635
2	5001	629

prune318.0ms

Filtered

122 candidates to 79 candidates (64.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	113	9	122
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	114	9	123

Merged error: 0.0b

Counts

123 → 9

localize13.0ms

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

rewrite295.0ms

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)))
219.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
4.0ms	(/ 1.0 (* x 9.0))
7.0ms	(/ (/ y 3.0) (sqrt x))

series153.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
43.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
21.0ms	(/ 1.0 (* x 9.0))
56.0ms	(/ (/ y 3.0) (sqrt x))

simplify187.0ms

Algorithm

egg-herbie

Counts

652 → 652

Iterations

Useful iterations: 1 (43.0ms)

Iter	Nodes	Cost
0	2390	21085
1	5001	16927

prune1.1s

Filtered

652 candidates to 307 candidates (47.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	649	3	652
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	652	9	661

Merged error: 0.0b

Counts

661 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

147×	`times-frac`
106×	`*-un-lft-identity`
95×	`add-sqr-sqrt`
93×	`add-cube-cbrt`
42×	`sqrt-prod`
16×	`associate-/l*`
14×	`add-exp-log` `add-cbrt-cube`
12×	`prod-diff`
11×	`add-log-exp`
10×	`div-inv`
7×	`fma-def` `associate-/r*`
5×	`cbrt-undiv` `div-exp` `distribute-lft-out`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`fma-neg`
2×	`frac-2neg` `diff-log` `clear-num` `sum-log` `distribute-lft-out--`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `frac-add` `prod-exp` `flip--` `cbrt-unprod` `flip-+` `associate-/l/` `associate--r+` `difference-of-squares`

Counts

4 → 193

Calls

4 calls:

33.0ms	(- 1.0 (+ (/ 1.0 (* x 9.0)) (/ (/ y 3.0) (sqrt x))))
34.0ms	(+ (/ 1.0 (* x 9.0)) (/ (/ y 3.0) (sqrt x)))
4.0ms	(/ 1.0 (* x 9.0))
7.0ms	(/ (/ y 3.0) (sqrt x))

series173.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(- 1.0 (+ (/ 1.0 (* x 9.0)) (/ (/ y 3.0) (sqrt x))))
56.0ms	(+ (/ 1.0 (* x 9.0)) (/ (/ y 3.0) (sqrt x)))
15.0ms	(/ 1.0 (* x 9.0))
59.0ms	(/ (/ y 3.0) (sqrt x))

simplify89.0ms

Algorithm

egg-herbie

Counts

205 → 205

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	841	1962
1	3316	1631
2	5001	1626

prune371.0ms

Filtered

205 candidates to 141 candidates (68.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	203	2	205
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	205	9	214

Merged error: 0.0b

Counts

214 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

295×	`times-frac`
194×	`add-sqr-sqrt`
174×	`*-un-lft-identity`
168×	`add-cube-cbrt`
84×	`sqrt-prod`
82×	`associate-r`
33×	`add-exp-log`
26×	`prod-diff`
23×	`associate--l+` `add-cbrt-cube`
19×	`div-inv`
16×	`associate-/l*`
14×	`div-exp`
9×	`add-log-exp`
8×	`cbrt-undiv`
7×	`associate-/r*` `unswap-sqr`
6×	`pow1` `prod-exp`
5×	`fma-neg`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u`
3×	`diff-log` `associate-r/` `associate-l*`
2×	`sub-neg` `rec-exp` `flip3--` `frac-2neg` `1-exp` `clear-num` `frac-sub` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`associate--l-` `pow-prod-down` `*-commutative` `associate-/l/`

Counts

4 → 302

Calls

4 calls:

10.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (* y (/ (/ 1 3.0) (sqrt x))))
4.0ms	(/ 1.0 (* x 9.0))
23.0ms	(* y (/ (/ 1 3.0) (sqrt x)))
8.0ms	(/ (/ 1 3.0) (sqrt x))

series168.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (* y (/ (/ 1 3.0) (sqrt x))))
15.0ms	(/ 1.0 (* x 9.0))
63.0ms	(* y (/ (/ 1 3.0) (sqrt x)))
39.0ms	(/ (/ 1 3.0) (sqrt x))

simplify58.0ms

Algorithm

egg-herbie

Counts

314 → 314

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	1195	2670
1	5001	2315

prune550.0ms

Filtered

314 candidates to 193 candidates (61.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	314	0	314
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	314	9	323

Merged error: 0.0b

Counts

323 → 9

regimes69.0ms

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

sample1.0s

Algorithm

intervals

Results

368.0ms	8546×	body	80	valid
347.0ms	8462×	body	80	nan