Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* x y) 2.0)
0.0b	(+ 1.0 (/ (* x y) 2.0))
0.0b	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
9.2b	(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

89×	`*-un-lft-identity`
64×	`add-sqr-sqrt`
59×	`add-cube-cbrt`
54×	`prod-diff`
52×	`times-frac`
14×	`distribute-lft-out`
11×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/r/` `add-log-exp`
7×	`associate-/r*`
5×	`flip3-+` `flip-+` `div-inv`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `associate-/l*`
3×	`cbrt-undiv` `fma-def` `fma-neg` `div-exp`
2×	`frac-2neg` `clear-num` `difference-of-squares`
1×	`+-commutative` `sub-neg` `flip3--` `diff-log` `prod-exp` `sum-log` `flip--` `cbrt-unprod` `distribute-lft-out--`

Counts

4 → 149

Calls

4 calls:

4.0ms	(/ (* x y) 2.0)
5.0ms	(+ 1.0 (/ (* x y) 2.0))
27.0ms	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
9.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

series162.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(/ (* x y) 2.0)
34.0ms	(+ 1.0 (/ (* x y) 2.0))
33.0ms	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
69.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify77.0ms

Algorithm

egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	675	2716
1	2638	1945
2	5002	1786

prune241.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (/ (* x y) 2.0))
0.0b	(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
0.3b	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
9.2b	(/ (+ 1.0 (/ (* x y) 2.0)) y)

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

366×	`times-frac`
333×	`*-un-lft-identity`
254×	`add-sqr-sqrt`
240×	`add-cube-cbrt`
159×	`prod-diff`
44×	`distribute-lft-out`
19×	`associate-/r*` `div-inv`
17×	`add-exp-log`
11×	`add-cbrt-cube`
8×	`div-exp` `add-log-exp`
7×	`associate-/l*`
5×	`pow1` `difference-of-squares`
4×	`cbrt-undiv` `expm1-log1p-u` `associate-/r/` `log1p-expm1-u`
3×	`fma-def` `fma-neg`
2×	`rec-exp` `frac-2neg` `flip3-+` `1-exp` `clear-num` `flip-+` `associate-/l/` `distribute-lft-out--`
1×	`+-commutative` `sub-neg` `flip3--` `pow-flip` `diff-log` `sum-log` `flip--` `inv-pow`

Counts

4 → 325

Calls

4 calls:

5.0ms	(+ 1.0 (/ (* x y) 2.0))
57.0ms	(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
14.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
18.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

series185.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ 1.0 (/ (* x y) 2.0))
38.0ms	(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
63.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
50.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify94.0ms

Algorithm

egg-herbie

Counts

337 → 337

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	1383	9142
1	5001	6347

prune544.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (sqrt (+ 1.0 (/ (* x y) 2.0))))
0.1b	(/ (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))) (sqrt (+ 1.0 (/ (* x y) 2.0))))
4.3b	(sqrt (+ 1.0 (/ (* x y) 2.0)))
4.3b	(sqrt (+ 1.0 (/ (* x y) 2.0)))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

378×	`times-frac`
306×	`*-un-lft-identity`
232×	`sqrt-prod`
196×	`add-sqr-sqrt`
190×	`add-cube-cbrt`
58×	`distribute-lft-out`
30×	`associate-/l*`
24×	`sqrt-div`
20×	`associate-/r/`
14×	`associate-/r*`
12×	`flip3-+` `flip-+`
11×	`add-exp-log` `add-cbrt-cube`
10×	`div-inv`
6×	`pow1`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `clear-num` `hypot-def`
1×	`associate-/l/`

Counts

4 → 327

Calls

4 calls:

10.0ms	(/ y (sqrt (+ 1.0 (/ (* x y) 2.0))))
32.0ms	(/ (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))) (sqrt (+ 1.0 (/ (* x y) 2.0))))
8.0ms	(sqrt (+ 1.0 (/ (* x y) 2.0)))
9.0ms	(sqrt (+ 1.0 (/ (* x y) 2.0)))

series484.0ms

Counts

4 → 12

Calls

4 calls:

211.0ms	(/ y (sqrt (+ 1.0 (/ (* x y) 2.0))))
62.0ms	(/ (/ y (sqrt (+ 1.0 (/ (* x y) 2.0)))) (sqrt (+ 1.0 (/ (* x y) 2.0))))
107.0ms	(sqrt (+ 1.0 (/ (* x y) 2.0)))
103.0ms	(sqrt (+ 1.0 (/ (* x y) 2.0)))

simplify100.0ms

Algorithm

egg-herbie

Counts

339 → 339

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	842	5582
1	3291	4964
2	5001	4902

prune519.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes43.0ms

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

sample346.0ms

Algorithm

intervals

Results

219.0ms	7999×	body	80	valid
0.0ms	1×	body	2560	valid