Details

sample14.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

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 (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: 15.0b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

14.4b

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

rewrite22.0ms

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:

16.0ms

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

series57.0ms

Counts

1 → 3

Calls

1 calls:

57.0ms

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

simplify86.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (70.0ms)

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

prune162.0ms

Filtered

137 candidates to 87 candidates (63.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	134	3	137
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	135	3	138

Merged error: 0b

Counts

138 → 3

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma 0.5 (/ 1 y) (/ 0.5 x))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma 0.5 (/ 1 y) (/ 0.5 x))

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

(fma 0.5 (/ 1 y) (/ 0.5 x))

simplify61.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	33	62
1	65	52
2	306	51
3	1340	51
4	5001	51

prune21.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	13	3	16

Merged error: 0b

Counts

16 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ x y) (* 2.0 y))
5.5b	(* (/ 1 x) (/ (+ x y) (* 2.0 y)))

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:

9.0ms	(/ (+ x y) (* 2.0 y))
39.0ms	(* (/ 1 x) (/ (+ x y) (* 2.0 y)))

series95.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ (+ x y) (* 2.0 y))
64.0ms	(* (/ 1 x) (/ (+ x y) (* 2.0 y)))

simplify94.0ms

Algorithm

egg-herbie

Counts

413 → 413

Iterations

Useful iterations: 1 (50.0ms)

Iter	Nodes	Cost
0	1732	2945
1	5001	2772

prune408.0ms

Filtered

413 candidates to 221 candidates (53.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	412	1	413
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	413	3	416

Merged error: 0b

Counts

416 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ (+ x y) (* (sqrt 2.0) y))
0.4b	(* (sqrt 2.0) y)
0.4b	(/ (/ 1 x) (sqrt 2.0))
5.7b	(* (/ (/ 1 x) (sqrt 2.0)) (/ (+ x y) (* (sqrt 2.0) y)))

rewrite247.0ms

Algorithm

rewrite-expression-head

Rules

962×	`add-sqr-sqrt`
812×	`*-un-lft-identity`
775×	`frac-times`
771×	`associate-/r*`
696×	`times-frac`
671×	`add-cube-cbrt`
566×	`associate-/l*`
346×	`sqrt-prod`
334×	`associate-l`
309×	`associate-/l/`
194×	`associate-r`
126×	`unswap-sqr`
88×	`clear-num`
87×	`frac-2neg`
80×	`add-exp-log`
66×	`distribute-lft-out`
52×	`add-cbrt-cube`
43×	`*-commutative` `div-inv`
36×	`div-exp`
33×	`flip3-+` `flip-+`
31×	`associate-*l/`
25×	`associate-*r/`
22×	`prod-exp`
20×	`cbrt-undiv`
14×	`cbrt-unprod`
8×	`pow1`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `add-log-exp`
3×	`un-div-inv`
2×	`pow-prod-down`

Counts

4 → 1297

Calls

4 calls:

11.0ms	(/ (+ x y) (* (sqrt 2.0) y))
5.0ms	(* (sqrt 2.0) y)
12.0ms	(/ (/ 1 x) (sqrt 2.0))
120.0ms	(* (/ (/ 1 x) (sqrt 2.0)) (/ (+ x y) (* (sqrt 2.0) y)))

series383.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(/ (+ x y) (* (sqrt 2.0) y))
47.0ms	(* (sqrt 2.0) y)
52.0ms	(/ (/ 1 x) (sqrt 2.0))
196.0ms	(* (/ (/ 1 x) (sqrt 2.0)) (/ (+ x y) (* (sqrt 2.0) y)))

simplify306.0ms

Algorithm

egg-herbie

Counts

1309 → 1309

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4913	14653
1	5001	14653

prune2.2s

Filtered

1309 candidates to 744 candidates (56.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	1309	0	1309
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	1309	3	1312

Merged error: 0b

Counts

1312 → 3

regimes29.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	3
1	9	3

end0.0ms

sample313.0ms

Algorithm

intervals

Results

186.0ms

8000×

body

valid