Details

sample15.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
0.0b	(/ (* x y) 2.0)
9.0b	(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 132

Calls

3 calls:

34.0ms	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
9.0ms	(/ (* x y) 2.0)
18.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

series107.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
17.0ms	(/ (* x y) 2.0)
58.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify74.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	666	2632
1	2625	1869
2	5002	1712

prune205.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
0.0b	(/ (* x y) 2.0)
0.1b	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
9.0b	(/ (+ 1.0 (/ (* x y) 2.0)) y)

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

369×	`times-frac`
332×	`*-un-lft-identity`
255×	`add-sqr-sqrt`
241×	`add-cube-cbrt`
159×	`prod-diff`
43×	`distribute-lft-out`
22×	`add-exp-log` `associate-/r*`
20×	`div-inv`
16×	`add-cbrt-cube`
10×	`div-exp`
8×	`associate-/l*`
6×	`cbrt-undiv` `add-log-exp`
5×	`pow1` `difference-of-squares`
4×	`expm1-log1p-u` `associate-/r/` `log1p-expm1-u`
3×	`frac-2neg` `fma-neg` `clear-num`
2×	`rec-exp` `1-exp` `associate-/l/` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `pow-flip` `flip3-+` `diff-log` `prod-exp` `flip--` `cbrt-unprod` `flip-+` `inv-pow`

Counts

4 → 331

Calls

4 calls:

53.0ms	(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
9.0ms	(/ (* x y) 2.0)
20.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
33.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

series144.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
17.0ms	(/ (* x y) 2.0)
54.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
44.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify93.0ms

Algorithm

egg-herbie

Counts

343 → 343

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	1443	9147
1	5002	6299

prune343.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-sqr-sqrt`
49×	`*-un-lft-identity`
45×	`add-cube-cbrt`
39×	`prod-diff`
38×	`times-frac`
6×	`add-exp-log`
5×	`div-inv`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow1` `fma-neg` `associate-/r` `associate-/l` `difference-of-squares`
2×	`expm1-log1p-u` `div-exp` `log1p-expm1-u` `distribute-lft-out--`
1×	`cbrt-undiv` `sub-neg` `rec-exp` `flip3--` `pow-flip` `frac-2neg` `diff-log` `1-exp` `clear-num` `flip--` `inv-pow`

Counts

2 → 94

Calls

2 calls:

12.0ms	(- x (/ 1 (fma 0.5 x (* 1.0 (/ 1 y)))))
8.0ms	(/ 1 (fma 0.5 x (* 1.0 (/ 1 y))))

series75.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(- x (/ 1 (fma 0.5 x (* 1.0 (/ 1 y)))))
43.0ms	(/ 1 (fma 0.5 x (* 1.0 (/ 1 y))))

simplify50.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	456	1991
1	1563	1282
2	5001	1277

prune129.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (/ y (+ 1.0 (/ (* x y) 2.0))))
9.0b	(/ y (+ 1.0 (/ (* x y) 2.0)))
9.0b	(/ y (+ 1.0 (/ (* x y) 2.0)))
9.0b	(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

69×	`*-un-lft-identity`
48×	`times-frac`
39×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`cbrt-prod`
15×	`distribute-lft-out`
12×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/l*`
8×	`associate-/r/`
4×	`pow1` `expm1-log1p-u` `flip3-+` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`cbrt-div` `pow1/3`

Counts

4 → 134

Calls

4 calls:

9.0ms	(cbrt (/ y (+ 1.0 (/ (* x y) 2.0))))
14.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))
14.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))
15.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

series385.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(cbrt (/ y (+ 1.0 (/ (* x y) 2.0))))
60.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))
62.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))
55.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify53.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	454	1279
1	1519	1207
2	5002	1168

prune422.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes52.0ms

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

sample387.0ms

Algorithm

intervals

Results

202.0ms	7998×	body	80	valid
0.0ms	2×	body	1280	valid