Details

Time bar (total: 1.5s)

sample11.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

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 frac-2neg flip3-+ prod-exp clear-num cbrt-unprod flip-+ div-inv associate-/l* add-log-exp
Counts
1 → 25
Calls
1 calls:
6.0ms
(/ (* x y) (+ y 1.0))

series46.0ms

Counts
1 → 3
Calls
1 calls:
46.0ms
(/ (* x y) (+ y 1.0))

simplify127.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0196146
1876121
24575120
35002120

prune48.0ms

Filtered
28 candidates to 20 candidates (71.4%)
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))

rewrite22.0ms

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 flip3-+ div-exp prod-exp cbrt-unprod flip-+ div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 70
Calls
2 calls:
15.0ms
(* x (/ y (+ y 1.0)))
5.0ms
(/ y (+ y 1.0))

series80.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(* x (/ y (+ y 1.0)))
38.0ms
(/ y (+ y 1.0))

simplify42.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0297378
11341340
25002337

prune126.0ms

Filtered
76 candidates to 53 candidates (69.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

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×frac-2neg clear-num cbrt-unprod associate-/l/ add-log-exp
1×pow-flip flip3-+ associate-/r/ flip-+ inv-pow
Counts
2 → 85
Calls
2 calls:
9.0ms
(/ 1 (/ (+ y 1.0) (* x y)))
8.0ms
(/ (+ y 1.0) (* x y))

series76.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(/ 1 (/ (+ y 1.0) (* x y)))
37.0ms
(/ (+ y 1.0) (* x y))

simplify49.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0368575
11825490
25001439

prune102.0ms

Filtered
91 candidates to 45 candidates (49.5%)
Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize7.0ms

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)))

rewrite52.0ms

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×associate-/r/ 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 → 147
Calls
3 calls:
8.0ms
(/ (+ y 1.0) y)
23.0ms
(* (/ 1 x) (/ (+ y 1.0) y))
15.0ms
(/ 1 (* (/ 1 x) (/ (+ y 1.0) y)))

series132.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(/ (+ y 1.0) y)
36.0ms
(* (/ 1 x) (/ (+ y 1.0) y))
47.0ms
(/ 1 (* (/ 1 x) (/ (+ y 1.0) y)))

simplify68.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0623918
13249730
25001713

prune194.0ms

Filtered
156 candidates to 83 candidates (53.2%)
Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes24.0ms

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

sample269.0ms

Algorithm
intervals
Results
151.0ms8000×body80valid