Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

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 2 expressions with local error:

0.0b	(/ (* x y) 2.0)
9.5b	(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
15×	`times-frac`
13×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`add-exp-log` `add-cbrt-cube`
7×	`associate-/r*`
4×	`distribute-lft-out` `associate-/l*`
3×	`cbrt-undiv` `div-exp`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `associate-/r/` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+`

Counts

2 → 58

Calls

2 calls:

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

series78.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(/ (* x y) 2.0)
60.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify37.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	306	377
1	1339	349
2	5001	342

prune186.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (* x y) 2.0)
0.1b	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
9.4b	(/ (+ 1.0 (/ (* x y) 2.0)) y)

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

111×	`times-frac`
95×	`*-un-lft-identity`
63×	`add-sqr-sqrt` `add-cube-cbrt`
22×	`associate-/r*`
21×	`add-exp-log`
16×	`distribute-lft-out`
15×	`add-cbrt-cube`
10×	`div-exp`
8×	`associate-/l*`
7×	`div-inv`
6×	`cbrt-undiv`
4×	`pow1`
3×	`expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `1-exp` `associate-/l/`
1×	`pow-flip` `flip3-+` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `inv-pow`

Counts

3 → 148

Calls

3 calls:

9.0ms	(/ (* x y) 2.0)
20.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
34.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

series126.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(/ (* x y) 2.0)
58.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
50.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify109.0ms

Algorithm

egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 2 (95.0ms)

Iter	Nodes	Cost
0	545	1294
1	2678	1161
2	5001	1051

prune359.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.6b	(/ 1 (fma (/ x 2.0) y 1.0))
9.0b	(/ (/ 1 (fma (/ x 2.0) y 1.0)) (/ 1 y))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

430×	`times-frac`
206×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
46×	`add-exp-log`
34×	`div-exp`
30×	`div-inv`
16×	`associate-/r` `add-cbrt-cube` `associate-/l`
9×	`cbrt-undiv` `rec-exp` `1-exp`
3×	`pow1`
2×	`expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`pow-flip` `associate-/r/` `associate-/l/` `inv-pow`

Counts

2 → 262

Calls

2 calls:

5.0ms	(/ 1 (fma (/ x 2.0) y 1.0))
21.0ms	(/ (/ 1 (fma (/ x 2.0) y 1.0)) (/ 1 y))

series104.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(/ 1 (fma (/ x 2.0) y 1.0))
59.0ms	(/ (/ 1 (fma (/ x 2.0) y 1.0)) (/ 1 y))

simplify60.0ms

Algorithm

egg-herbie

Counts

268 → 268

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	1260	3188
1	5001	2679

prune652.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

2.4b	(* (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (fma (/ x 2.0) y 1.0)) (cbrt (fma (/ x 2.0) y 1.0)))) (* (/ (cbrt 1) (cbrt (fma (/ x 2.0) y 1.0))) y))
9.8b	(cbrt (fma (/ x 2.0) y 1.0))
9.8b	(cbrt (fma (/ x 2.0) y 1.0))
9.8b	(cbrt (fma (/ x 2.0) y 1.0))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-exp-log`
39×	`add-cbrt-cube`
37×	`prod-exp` `cbrt-unprod`
17×	`cbrt-undiv` `div-exp`
9×	`pow1` `cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `associate-*l/`
1×	`frac-times` `times-frac` `associate-r/` `associate-r` `-commutative` `div-inv`

Counts

4 → 90

Calls

4 calls:

73.0ms	(* (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (fma (/ x 2.0) y 1.0)) (cbrt (fma (/ x 2.0) y 1.0)))) (* (/ (cbrt 1) (cbrt (fma (/ x 2.0) y 1.0))) y))
1.0ms	(cbrt (fma (/ x 2.0) y 1.0))
1.0ms	(cbrt (fma (/ x 2.0) y 1.0))
1.0ms	(cbrt (fma (/ x 2.0) y 1.0))

series771.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(* (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (fma (/ x 2.0) y 1.0)) (cbrt (fma (/ x 2.0) y 1.0)))) (* (/ (cbrt 1) (cbrt (fma (/ x 2.0) y 1.0))) y))
244.0ms	(cbrt (fma (/ x 2.0) y 1.0))
235.0ms	(cbrt (fma (/ x 2.0) y 1.0))
236.0ms	(cbrt (fma (/ x 2.0) y 1.0))

simplify87.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	584	1757
1	2967	1265
2	5001	1034

prune567.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes34.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	6
1	15	6

end0.0ms

sample365.0ms

Algorithm

intervals

Results

236.0ms

8000×

body

valid