Details

Time bar (total: 1.9s)

sample12.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0103
1143
2173
3183
4183

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.8b

localize5.0ms

Local error

Found 1 expressions with local error:

9.1b
(/ (* x y) (+ y 1.0))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
7×*-un-lft-identity
6×add-exp-log add-cbrt-cube
4×times-frac associate-/r*
3×add-sqr-sqrt add-cube-cbrt
2×cbrt-undiv div-exp associate-/r/ distribute-lft-out
1×pow1 expm1-log1p-u frac-2neg flip3-+ prod-exp clear-num cbrt-unprod flip-+ log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 27
Calls
1 calls:
7.0ms
(/ (* x y) (+ y 1.0))

series56.0ms

Counts
1 → 3
Calls
1 calls:
56.0ms
(/ (* x y) (+ y 1.0))

simplify145.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 3 (140.0ms)

IterNodesCost
0200154
1910129
24740126
35001124

prune70.0ms

Filtered
30 candidates to 22 candidates (73.3%)
Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
25×add-sqr-sqrt times-frac
20×add-cube-cbrt
18×associate-*r*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out
4×pow1 associate-/r* associate-/r/
3×associate-*l* associate-/l*
2×cbrt-undiv expm1-log1p-u flip3-+ div-exp prod-exp cbrt-unprod flip-+ log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 74
Calls
2 calls:
16.0ms
(* x (/ y (+ y 1.0)))
6.0ms
(/ y (+ y 1.0))

series96.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(* x (/ y (+ y 1.0)))
44.0ms
(/ y (+ y 1.0))

simplify50.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0305392
11398354
25002349

prune166.0ms

Filtered
80 candidates to 57 candidates (71.3%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.8b
(/ 1 (/ (+ y 1.0) (* x y)))
9.3b
(/ (+ y 1.0) (* x y))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
44×times-frac
33×*-un-lft-identity
28×add-exp-log
21×add-sqr-sqrt add-cube-cbrt
16×add-cbrt-cube
14×div-exp
9×associate-/r*
7×cbrt-undiv associate-/l*
6×div-inv distribute-lft-out
4×prod-exp
3×pow1 rec-exp 1-exp
2×expm1-log1p-u frac-2neg clear-num cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
1×pow-flip flip3-+ associate-/r/ flip-+ inv-pow
Counts
2 → 89
Calls
2 calls:
10.0ms
(/ 1 (/ (+ y 1.0) (* x y)))
9.0ms
(/ (+ y 1.0) (* x y))

series94.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(/ 1 (/ (+ y 1.0) (* x y)))
46.0ms
(/ (+ y 1.0) (* x y))

simplify57.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0376590
11864504
25001451

prune148.0ms

Filtered
95 candidates to 49 candidates (51.6%)
Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ y 1.0) y)
0.1b
(* (/ 1 x) (/ (+ y 1.0) y))
0.8b
(/ 1 (* (/ 1 x) (/ (+ y 1.0) y)))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
105×add-exp-log
51×div-exp
46×add-sqr-sqrt
45×*-un-lft-identity
43×times-frac
35×add-cbrt-cube
32×prod-exp
29×add-cube-cbrt
17×rec-exp 1-exp
16×associate-*r*
14×cbrt-undiv
13×associate-*l*
8×pow1 cbrt-unprod
7×distribute-lft-out associate-/l*
6×unswap-sqr
4×associate-/r* div-inv
3×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
2×frac-times pow-flip frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num associate-/l/
1×flip3-+ *-commutative flip-+ inv-pow
Counts
3 → 153
Calls
3 calls:
8.0ms
(/ (+ y 1.0) y)
22.0ms
(* (/ 1 x) (/ (+ y 1.0) y))
17.0ms
(/ 1 (* (/ 1 x) (/ (+ y 1.0) y)))

series157.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(/ (+ y 1.0) y)
44.0ms
(* (/ 1 x) (/ (+ y 1.0) y))
51.0ms
(/ 1 (* (/ 1 x) (/ (+ y 1.0) y)))

simplify78.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
0634940
13303755
25001735

prune267.0ms

Filtered
162 candidates to 89 candidates (54.9%)
Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes34.0ms

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)

IterNodesCost
083
183

end0.0ms

sample287.0ms

Algorithm
intervals
Results
155.0ms8000×body80valid