Details

sample14.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	5
1	22	5
2	25	5
3	26	5
4	26	5

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: 0.1b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

8.6b	(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
12×	`times-frac`
10×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`associate-/r*` `distribute-lft-out`
3×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
2×	`associate-/r/`
1×	`pow1` `cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 33

Calls

1 calls:

6.0ms

(/ y (+ 1.0 (/ (* x y) 2.0)))

series65.0ms

Counts

1 → 3

Calls

1 calls:

65.0ms

(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify146.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	209	283
1	791	264
2	4176	259
3	5001	259

prune75.0ms

Filtered

36 candidates to 26 candidates (72.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	31	5	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	6	37

Merged error: 0b

Counts

37 → 6

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
8.5b	(/ (+ 1.0 (/ (* x y) 2.0)) y)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

108×	`times-frac`
92×	`*-un-lft-identity`
60×	`add-sqr-sqrt` `add-cube-cbrt`
19×	`associate-/r*`
16×	`distribute-lft-out`
15×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`div-exp`
7×	`associate-/l*`
6×	`div-inv`
4×	`cbrt-undiv`
3×	`pow1`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/` `add-log-exp`
1×	`pow-flip` `flip3-+` `associate-/r/` `flip-+` `inv-pow`

Counts

2 → 121

Calls

2 calls:

9.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
7.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

series109.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
53.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify58.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	443	1186
1	2081	1068
2	5002	975

prune132.0ms

Filtered

127 candidates to 61 candidates (48.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	125	2	127
Fresh	4	0	4
Picked	0	1	1
Done	0	1	1
Total	129	4	133

Merged error: 0b

Counts

133 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 0.5 x) (* 1.0 (/ 1 y)))
0.1b	(/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y))))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow1` `associate-/r` `associate-/l`
2×	`flip3-+` `div-exp` `associate-/r/` `flip-+`
1×	`cbrt-undiv` `+-commutative` `rec-exp` `pow-flip` `frac-2neg` `1-exp` `clear-num` `sum-log` `div-inv` `inv-pow`

Counts

2 → 44

Calls

2 calls:

3.0ms	(+ (* 0.5 x) (* 1.0 (/ 1 y)))
5.0ms	(/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y))))

series86.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ (* 0.5 x) (* 1.0 (/ 1 y)))
49.0ms	(/ 1 (+ (* 0.5 x) (* 1.0 (/ 1 y))))

simplify34.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	243	416
1	1034	377
2	5001	361

prune64.0ms

Filtered

50 candidates to 30 candidates (60.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	50	0	50
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	50	4	54

Merged error: 0b

Counts

54 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ 1 (* (+ 1.0 (/ (* x y) 2.0)) (/ 1 y)))
8.6b	(* (+ 1.0 (/ (* x y) 2.0)) (/ 1 y))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-exp-log`
19×	`add-sqr-sqrt`
18×	`div-exp`
16×	`prod-exp` `add-cbrt-cube`
15×	`*-un-lft-identity`
14×	`times-frac`
13×	`associate-r`
12×	`add-cube-cbrt`
9×	`rec-exp` `1-exp`
7×	`pow1`
6×	`associate-/r/`
5×	`cbrt-undiv`
4×	`frac-times` `flip3-+` `associate-l` `associate-*l/` `cbrt-unprod` `flip-+`
3×	`associate-/l*` `unswap-sqr`
2×	`pow-flip` `associate-*r/` `pow-prod-down` `un-div-inv` `div-inv` `add-log-exp`
1×	`frac-2neg` `clear-num` `associate-/r` `-commutative` `distribute-lft-out` `inv-pow`

Counts

2 → 85

Calls

2 calls:

10.0ms	(/ 1 (* (+ 1.0 (/ (* x y) 2.0)) (/ 1 y)))
10.0ms	(* (+ 1.0 (/ (* x y) 2.0)) (/ 1 y))

series116.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(/ 1 (* (+ 1.0 (/ (* x y) 2.0)) (/ 1 y)))
54.0ms	(* (+ 1.0 (/ (* x y) 2.0)) (/ 1 y))

simplify54.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	449	683
1	2280	557
2	5001	528

prune102.0ms

Filtered

91 candidates to 49 candidates (53.8%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	91	4	95

Merged error: 0b

Counts

95 → 4

regimes49.0ms

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	11	5
1	11	5

end0.0ms

sample333.0ms

Algorithm

intervals

Results

204.0ms	7998×	body	80	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	1280	valid