Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

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

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (* x y) 2.0)
0.0b	(+ 1.0 (/ (* x y) 2.0))
5.3b	(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 75

Calls

3 calls:

12.0ms	(/ (* x y) 2.0)
8.0ms	(+ 1.0 (/ (* x y) 2.0))
15.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

series122.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(/ (* x y) 2.0)
37.0ms	(+ 1.0 (/ (* x y) 2.0))
64.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify41.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	331	461
1	1400	425
2	5001	416

prune175.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (/ x (/ 2.0 y)))
0.2b	(/ x (/ 2.0 y))
5.3b	(/ y (+ 1.0 (/ x (/ 2.0 y))))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

87×	`times-frac`
65×	`*-un-lft-identity`
55×	`add-sqr-sqrt` `add-cube-cbrt`
17×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`distribute-lft-out` `add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `fma-def` `associate-/r/` `log1p-expm1-u`
2×	`frac-2neg` `flip3-+` `clear-num` `flip-+`
1×	`+-commutative` `sum-log`

Counts

3 → 124

Calls

3 calls:

20.0ms	(+ 1.0 (/ x (/ 2.0 y)))
10.0ms	(/ x (/ 2.0 y))
41.0ms	(/ y (+ 1.0 (/ x (/ 2.0 y))))

series118.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ 1.0 (/ x (/ 2.0 y)))
20.0ms	(/ x (/ 2.0 y))
65.0ms	(/ y (+ 1.0 (/ x (/ 2.0 y))))

simplify61.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	539	827
1	2391	778
2	5001	772

prune275.0ms

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 (/ 1 (/ (/ 2.0 y) x)))
0.2b	(/ (/ 2.0 y) x)
0.4b	(/ 1 (/ (/ 2.0 y) x))
5.3b	(/ y (+ 1.0 (/ 1 (/ (/ 2.0 y) x))))

rewrite220.0ms

Algorithm

rewrite-expression-head

Rules

483×	`times-frac`
256×	`*-un-lft-identity`
241×	`add-sqr-sqrt` `add-cube-cbrt`
51×	`associate-/r*`
32×	`add-exp-log`
28×	`div-inv`
20×	`add-cbrt-cube`
19×	`div-exp` `associate-/l*`
10×	`cbrt-undiv` `distribute-lft-out`
6×	`add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`rec-exp` `fma-def` `frac-2neg` `1-exp` `clear-num` `associate-/r/`
2×	`flip3-+` `flip-+`
1×	`+-commutative` `pow-flip` `sum-log` `associate-/l/` `inv-pow`

Counts

4 → 331

Calls

4 calls:

52.0ms	(+ 1.0 (/ 1 (/ (/ 2.0 y) x)))
10.0ms	(/ (/ 2.0 y) x)
18.0ms	(/ 1 (/ (/ 2.0 y) x))
118.0ms	(/ y (+ 1.0 (/ 1 (/ (/ 2.0 y) x))))

series131.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ 1.0 (/ 1 (/ (/ 2.0 y) x)))
21.0ms	(/ (/ 2.0 y) x)
18.0ms	(/ 1 (/ (/ 2.0 y) x))
62.0ms	(/ y (+ 1.0 (/ 1 (/ (/ 2.0 y) x))))

simplify51.0ms

Algorithm

egg-herbie

Counts

343 → 343

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	1225	2839
1	5002	2276

prune551.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 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))
0.1b	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
5.2b	(/ (+ 1.0 (/ (* x y) 2.0)) y)

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 165

Calls

4 calls:

9.0ms	(/ (* x y) 2.0)
8.0ms	(+ 1.0 (/ (* x y) 2.0))
20.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
32.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

series168.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(/ (* x y) 2.0)
34.0ms	(+ 1.0 (/ (* x y) 2.0))
62.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
52.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify67.0ms

Algorithm

egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	572	1373
1	2741	1237
2	5001	1125

prune284.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes28.0ms

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	10	5
1	10	5

end0.0ms

sample372.0ms

Algorithm

intervals

Results

202.0ms	7996×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid