Details

sample14.0ms

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) 2.0)
0.0b	(+ 1.0 (/ (* x y) 2.0))
6.2b	(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite17.0ms

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:

3.0ms	(/ (* x y) 2.0)
4.0ms	(+ 1.0 (/ (* x y) 2.0))
8.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

series120.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(/ (* x y) 2.0)
37.0ms	(+ 1.0 (/ (* x y) 2.0))
63.0ms	(/ 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

prune170.0ms

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))
6.2b	(/ y (+ 1.0 (/ x (/ 2.0 y))))

rewrite59.0ms

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:

18.0ms	(+ 1.0 (/ x (/ 2.0 y)))
5.0ms	(/ x (/ 2.0 y))
32.0ms	(/ y (+ 1.0 (/ x (/ 2.0 y))))

series119.0ms

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))))

simplify64.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 2 (52.0ms)

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

prune283.0ms

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	(/ (* x y) 2.0)
0.0b	(+ 1.0 (/ (* x y) 2.0))
0.1b	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
6.2b	(/ (+ 1.0 (/ (* x y) 2.0)) y)

rewrite38.0ms

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:

3.0ms	(/ (* x y) 2.0)
4.0ms	(+ 1.0 (/ (* x y) 2.0))
12.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
14.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

series165.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(/ (* x y) 2.0)
33.0ms	(+ 1.0 (/ (* x y) 2.0))
61.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
52.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify72.0ms

Algorithm

egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 2 (53.0ms)

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

prune272.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
6×	`add-exp-log`
4×	`add-cbrt-cube`
3×	`pow1` `associate-/r` `associate-/l`
2×	`expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `rec-exp` `pow-flip` `frac-2neg` `1-exp` `clear-num` `fma-udef` `div-inv` `inv-pow`

Counts

2 → 43

Calls

2 calls:

0.0ms	(fma 0.5 x (* 1.0 (/ 1 y)))
2.0ms	(/ 1 (fma 0.5 x (* 1.0 (/ 1 y))))

series90.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(fma 0.5 x (* 1.0 (/ 1 y)))
51.0ms	(/ 1 (fma 0.5 x (* 1.0 (/ 1 y))))

simplify113.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 3 (108.0ms)

Iter	Nodes	Cost
0	172	327
1	685	293
2	3490	277
3	5002	276

prune87.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes22.0ms

Accuracy

0% (0.0b 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	10	5
1	10	5

end0.0ms

sample341.0ms

Algorithm

intervals

Results

210.0ms	7997×	body	80	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid