Details

sample30.0ms

Algorithm

intervals

Results

8.0ms	301×	body	80	nan
8.0ms	276×	body	80	valid

simplify18.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

rewrite25.0ms

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)))
8.0ms	(* 3.0 (sqrt x))

series142.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
16.0ms	(/ 1.0 (* x 9.0))
58.0ms	(/ y (* 3.0 (sqrt x)))
37.0ms	(* 3.0 (sqrt x))

simplify64.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (51.0ms)

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

prune237.0ms

Filtered

122 candidates to 79 candidates (64.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	112	10	122
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	113	10	123

Merged error: 0.0b

Counts

123 → 10

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))
0.4b	(/ (/ 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)))
46.0ms	(- (- 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))

series155.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(- 1.0 (/ 1.0 (* x 9.0)))
44.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
20.0ms	(/ 1.0 (* x 9.0))
57.0ms	(/ (/ y 3.0) (sqrt x))

simplify195.0ms

Algorithm

egg-herbie

Counts

652 → 652

Iterations

Useful iterations: 1 (60.0ms)

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	3	6	9
Picked	1	0	1
Done	0	0	0
Total	653	9	662

Merged error: 0.0b

Counts

662 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

566×	`times-frac`
348×	`add-sqr-sqrt`
290×	`*-un-lft-identity`
283×	`add-cube-cbrt`
144×	`sqrt-prod`
136×	`associate-r`
135×	`cbrt-prod`
94×	`add-exp-log`
41×	`add-cbrt-cube`
39×	`div-exp`
31×	`prod-exp`
28×	`associate-/l*`
21×	`cbrt-undiv` `unswap-sqr`
18×	`div-inv`
13×	`associate-/r*` `cbrt-unprod`
7×	`associate-l`
6×	`pow1` `rec-exp` `1-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `associate-/l/`

Counts

4 → 449

Calls

4 calls:

4.0ms	(/ 1.0 (* x 9.0))
48.0ms	(* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (/ y (cbrt 3.0)) (sqrt x)))
4.0ms	(/ y (cbrt 3.0))
10.0ms	(/ (/ y (cbrt 3.0)) (sqrt x))

series351.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(/ 1.0 (* x 9.0))
123.0ms	(* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (/ y (cbrt 3.0)) (sqrt x)))
60.0ms	(/ y (cbrt 3.0))
152.0ms	(/ (/ y (cbrt 3.0)) (sqrt x))

simplify87.0ms

Algorithm

egg-herbie

Counts

461 → 461

Iterations

Useful iterations: 1 (36.0ms)

Iter	Nodes	Cost
0	1783	5001
1	5001	4643

prune1.1s

Filtered

461 candidates to 299 candidates (64.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	461	0	461
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	461	9	470

Merged error: 0.0b

Counts

470 → 9

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))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 269

Calls

4 calls:

21.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
6.0ms	(/ (/ 1.0 x) 9.0)
5.0ms	(/ y (* 3.0 (sqrt x)))
5.0ms	(* 3.0 (sqrt x))

series153.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
16.0ms	(/ (/ 1.0 x) 9.0)
63.0ms	(/ y (* 3.0 (sqrt x)))
37.0ms	(* 3.0 (sqrt x))

simplify71.0ms

Algorithm

egg-herbie

Counts

281 → 281

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	1521	5187
1	5001	4040

prune512.0ms

Filtered

281 candidates to 173 candidates (61.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	279	2	281
Fresh	2	5	7
Picked	1	0	1
Done	0	1	1
Total	282	8	290

Merged error: 0b

Counts

290 → 8

regimes64.0ms

Accuracy

0% (0.3b 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	21	13
1	21	13

end0.0ms

sample757.0ms

Algorithm

intervals

Results

260.0ms	8521×	body	80	valid
237.0ms	8281×	body	80	nan