Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify8.0ms

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: 0.0b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 1.0 (/ (* x y) 2.0))
8.4b	(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 45

Calls

2 calls:

7.0ms	(+ 1.0 (/ (* x y) 2.0))
6.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

series101.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ 1.0 (/ (* x y) 2.0))
63.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify167.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	233	362
1	849	336
2	4393	331
3	5001	331

prune92.0ms

Filtered

51 candidates to 37 candidates (72.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	49	2	51
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	50	2	52

Merged error: 0b

Counts

52 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (/ (* x y) 2.0))
0.4b	(/ 1 (+ 1.0 (/ (* x y) 2.0)))
7.9b	(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
28×	`add-sqr-sqrt`
26×	`times-frac`
21×	`add-cube-cbrt`
18×	`associate-r`
16×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`distribute-lft-out`
6×	`pow1`
5×	`add-log-exp`
4×	`div-exp` `prod-exp` `associate-/r*` `associate-/r/`
3×	`flip3-+` `associate-l` `flip-+` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `cbrt-unprod` `div-inv`
1×	`+-commutative` `pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `un-div-inv` `-commutative` `inv-pow`

Counts

3 → 90

Calls

3 calls:

5.0ms	(+ 1.0 (/ (* x y) 2.0))
9.0ms	(/ 1 (+ 1.0 (/ (* x y) 2.0)))
11.0ms	(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

series151.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ 1.0 (/ (* x y) 2.0))
53.0ms	(/ 1 (+ 1.0 (/ (* x y) 2.0)))
64.0ms	(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

simplify53.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	376	687
1	1712	606
2	5002	560

prune135.0ms

Filtered

99 candidates to 59 candidates (59.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	99	2	101

Merged error: 0b

Counts

101 → 2

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (/ (* x y) 2.0))
0.3b	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
8.3b	(/ (+ 1.0 (/ (* x y) 2.0)) y)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

108×	`times-frac`
95×	`*-un-lft-identity`
61×	`add-sqr-sqrt` `add-cube-cbrt`
19×	`associate-/r*`
17×	`distribute-lft-out`
16×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`div-exp`
7×	`associate-/l*`
6×	`div-inv`
5×	`add-log-exp`
4×	`pow1` `cbrt-undiv`
2×	`rec-exp` `frac-2neg` `flip3-+` `1-exp` `clear-num` `flip-+` `associate-/l/`
1×	`+-commutative` `pow-flip` `sum-log` `associate-/r/` `inv-pow`

Counts

3 → 133

Calls

3 calls:

5.0ms	(+ 1.0 (/ (* x y) 2.0))
9.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
7.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

series151.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(+ 1.0 (/ (* x y) 2.0))
63.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
51.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify62.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	472	1265
1	2169	1140
2	5002	1047

prune167.0ms

Filtered

142 candidates to 73 candidates (51.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	142	2	144

Merged error: 0b

Counts

144 → 2

regimes24.0ms

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	16	6
1	16	6

end0.0ms

sample343.0ms

Algorithm

intervals

Results

212.0ms	7999×	body	80	valid
0.0ms	1×	body	2560	valid