Details

sample14.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	5
1	22	5
2	26	5
3	29	5
4	30	5
5	30	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

localize7.0ms

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` `expm1-log1p-u` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 35

Calls

1 calls:

6.0ms

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

series62.0ms

Counts

1 → 3

Calls

1 calls:

62.0ms

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

simplify144.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 3 (139.0ms)

Iter	Nodes	Cost
0	214	293
1	824	273
2	4306	265
3	5001	264

prune75.0ms

Filtered

38 candidates to 28 candidates (73.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	33	5	38
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	6	39

Merged error: 0b

Counts

39 → 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)

rewrite24.0ms

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×	`expm1-log1p-u` `rec-exp` `frac-2neg` `1-exp` `clear-num` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`pow-flip` `flip3-+` `associate-/r/` `flip-+` `inv-pow`

Counts

2 → 125

Calls

2 calls:

11.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
7.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

series106.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
47.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify55.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	452	1205
1	2119	1085
2	5001	966

prune144.0ms

Filtered

131 candidates to 67 candidates (51.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	129	2	131
Fresh	4	0	4
Picked	0	1	1
Done	0	1	1
Total	133	4	137

Merged error: 0b

Counts

137 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x 0.5 (/ 1.0 y))
0.1b	(/ 1 (fma x 0.5 (/ 1.0 y)))

rewrite5.0ms

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`
3×	`pow1` `associate-/r` `associate-/l`
2×	`expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `rec-exp` `pow-flip` `frac-2neg` `1-exp` `clear-num` `fma-udef` `div-inv` `inv-pow`

Counts

2 → 43

Calls

2 calls:

1.0ms	(fma x 0.5 (/ 1.0 y))
3.0ms	(/ 1 (fma x 0.5 (/ 1.0 y)))

series79.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(fma x 0.5 (/ 1.0 y))
46.0ms	(/ 1 (fma x 0.5 (/ 1.0 y)))

simplify103.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 3 (98.0ms)

Iter	Nodes	Cost
0	175	270
1	658	239
2	3463	223
3	5001	222

prune64.0ms

Filtered

49 candidates to 30 candidates (61.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	49	4	53

Merged error: 0b

Counts

53 → 4

localize9.0ms

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×	`expm1-log1p-u` `pow-flip` `associate-*r/` `pow-prod-down` `un-div-inv` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`frac-2neg` `clear-num` `associate-/r` `-commutative` `distribute-lft-out` `inv-pow`

Counts

2 → 89

Calls

2 calls:

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

series110.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(/ 1 (* (+ 1.0 (/ (* x y) 2.0)) (/ 1 y)))
51.0ms	(* (+ 1.0 (/ (* x y) 2.0)) (/ 1 y))

simplify56.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	459	706
1	2315	578
2	5001	501

prune116.0ms

Filtered

95 candidates to 55 candidates (57.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	95	4	99

Merged error: 0b

Counts

99 → 4

regimes47.0ms

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

sample320.0ms

Algorithm

intervals

Results

201.0ms	7998×	body	80	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	1280	valid