Details

Time bar (total: 2.6s)

sample22.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0103
1143
2173
3183
4183

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.3b

localize6.0ms

Local error

Found 1 expressions with local error:

6.9b
(/ (* 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))

series53.0ms

Counts
1 → 3
Calls
1 calls:
53.0ms
(/ (* x y) (+ y 1.0))

simplify151.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 3 (147.0ms)

IterNodesCost
0200154
1910129
24740126
35001124

prune61.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (+ y 1.0))
0.0b
(* x (/ 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:
5.0ms
(/ y (+ y 1.0))
16.0ms
(* x (/ y (+ y 1.0)))

series90.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(/ y (+ y 1.0))
53.0ms
(* x (/ y (+ y 1.0)))

simplify58.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0305392
11398354
25001349

prune156.0ms

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
(sqrt (+ y 1.0))
0.0b
(* x (/ (/ y (sqrt (+ y 1.0))) (sqrt (+ y 1.0))))
0.0b
(/ (/ y (sqrt (+ y 1.0))) (sqrt (+ y 1.0)))
0.1b
(/ y (sqrt (+ y 1.0)))

rewrite167.0ms

Algorithm
rewrite-expression-head
Rules
724×times-frac
553×*-un-lft-identity
425×sqrt-prod
370×add-sqr-sqrt
343×add-cube-cbrt
195×associate-*r*
105×distribute-lft-out
38×sqrt-div
36×associate-/r/
30×associate-/l*
20×add-exp-log add-cbrt-cube
19×flip3-+ flip-+
18×div-inv
14×associate-/r*
7×pow1 cbrt-undiv div-exp unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*l* prod-exp cbrt-unprod
2×frac-2neg clear-num
1×rem-sqrt-square sqrt-pow1 pow1/2 associate-*r/ pow-prod-down *-commutative hypot-def associate-/l/
Counts
4 → 531
Calls
4 calls:
4.0ms
(sqrt (+ y 1.0))
91.0ms
(* x (/ (/ y (sqrt (+ y 1.0))) (sqrt (+ y 1.0))))
23.0ms
(/ (/ y (sqrt (+ y 1.0))) (sqrt (+ y 1.0)))
7.0ms
(/ y (sqrt (+ y 1.0)))

series254.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(sqrt (+ y 1.0))
52.0ms
(* x (/ (/ y (sqrt (+ y 1.0))) (sqrt (+ y 1.0))))
36.0ms
(/ (/ y (sqrt (+ y 1.0))) (sqrt (+ y 1.0)))
132.0ms
(/ y (sqrt (+ y 1.0)))

simplify96.0ms

Algorithm
egg-herbie
Counts
543 → 543
Iterations

Useful iterations: 1 (37.0ms)

IterNodesCost
012035785
150014900

prune804.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes48.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083
183

end0.0ms

sample596.0ms

Algorithm
intervals
Results
450.0ms8000×body80valid