Details

sample13.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	4
1	28	4
2	42	4
3	44	4
4	44	4

prune2.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 15.4b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

14.8b

(/ (+ x y) (* (* x 2.0) y))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

95×	`*-un-lft-identity`
88×	`times-frac`
84×	`add-sqr-sqrt`
75×	`associate-l`
49×	`add-cube-cbrt`
30×	`associate-r`
23×	`distribute-lft-out`
22×	`associate-/r*`
20×	`unswap-sqr`
10×	`add-exp-log` `*-commutative` `add-cbrt-cube`
4×	`associate-/l*`
3×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
2×	`associate-/l/`
1×	`pow1` `expm1-log1p-u` `frac-2neg` `flip3-+` `clear-num` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 134

Calls

1 calls:

19.0ms

(/ (+ x y) (* (* x 2.0) y))

series52.0ms

Counts

1 → 3

Calls

1 calls:

51.0ms

(/ (+ x y) (* (* x 2.0) y))

simplify92.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	563	1094
1	2514	1057
2	5001	1054

prune157.0ms

Filtered

137 candidates to 87 candidates (36.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	135	2	137
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	136	2	138

Merged error: 0b

Counts

138 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ x y) (* x 2.0))
6.8b	(* (/ 1 y) (/ (+ x y) (* x 2.0)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

222×	`*-un-lft-identity`
214×	`add-sqr-sqrt`
198×	`associate-/r*`
189×	`frac-times`
146×	`add-cube-cbrt`
117×	`times-frac`
112×	`associate-/l*`
109×	`associate-r`
70×	`associate-l`
46×	`add-exp-log`
36×	`distribute-lft-out`
34×	`clear-num`
33×	`frac-2neg`
31×	`unswap-sqr`
28×	`add-cbrt-cube`
22×	`associate-/l/`
21×	`associate-*r/`
20×	`*-commutative`
17×	`prod-exp`
16×	`div-exp`
11×	`flip3-+` `flip-+`
9×	`cbrt-undiv` `associate-*l/` `cbrt-unprod`
4×	`pow1`
3×	`rec-exp` `1-exp` `un-div-inv` `div-inv`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`pow-prod-down`

Counts

2 → 407

Calls

2 calls:

13.0ms	(/ (+ x y) (* x 2.0))
36.0ms	(* (/ 1 y) (/ (+ x y) (* x 2.0)))

series94.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(/ (+ x y) (* x 2.0))
59.0ms	(* (/ 1 y) (/ (+ x y) (* x 2.0)))

simplify97.0ms

Algorithm

egg-herbie

Counts

413 → 413

Iterations

Useful iterations: 1 (53.0ms)

Iter	Nodes	Cost
0	1731	2945
1	5001	2771

prune398.0ms

Filtered

413 candidates to 220 candidates (46.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	412	1	413
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	413	2	415

Merged error: 0b

Counts

415 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- (+ x y)) y)
6.9b	(/ (/ (- (+ x y)) y) (- (* x 2.0)))

rewrite165.0ms

Algorithm

rewrite-expression-head

Rules

2200×	`times-frac`
1324×	`*-un-lft-identity`
1120×	`add-sqr-sqrt`
956×	`add-cube-cbrt`
860×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
246×	`associate-r` `associate-l`
184×	`distribute-lft-out`
133×	`neg-mul-1`
82×	`*-commutative` `unswap-sqr`
64×	`associate-/l*`
34×	`associate-/r*`
31×	`div-inv`
24×	`associate-/l/`
9×	`add-exp-log` `add-cbrt-cube`
4×	`cbrt-undiv` `div-exp` `distribute-neg-frac`
3×	`frac-2neg` `div-sub` `distribute-frac-neg` `clear-num`
2×	`pow1` `neg-sub0` `expm1-log1p-u` `flip3-+` `flip-+` `log1p-expm1-u` `add-log-exp`

Counts

2 → 1295

Calls

2 calls:

7.0ms	(/ (- (+ x y)) y)
45.0ms	(/ (/ (- (+ x y)) y) (- (* x 2.0)))

series88.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ (- (+ x y)) y)
51.0ms	(/ (/ (- (+ x y)) y) (- (* x 2.0)))

simplify260.0ms

Algorithm

egg-herbie

Counts

1301 → 1301

Iterations

Useful iterations: 1 (90.0ms)

Iter	Nodes	Cost
0	3784	16836
1	5002	16401

prune1.7s

Filtered

1301 candidates to 724 candidates (44.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	1301	0	1301
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	1301	2	1303

Merged error: 0b

Counts

1303 → 2

regimes45.0ms

Accuracy

96% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 8.3b

bsearch35.0ms

Steps

Iters	Range		Point
2	1.2635040450171259e-57	1.4165166879371412e-57	1.3960189220860347e-57
6	-1.401667407602926e-58	-1.9587590489586146e-59	-1.1062528248115971e-58

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	11
1	40	11
2	40	11

end0.0ms

sample316.0ms

Algorithm

intervals

Results

189.0ms

8000×

body

valid