Details

Time bar (total: 4.7s)

sample14.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
083
183

prune1.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
16×times-frac
11×add-sqr-sqrt add-cube-cbrt
10×distribute-lft-out
4×associate-/r* associate-/l*
3×add-exp-log add-cbrt-cube
2×flip3-+ associate-/r/ flip-+ associate-/l/
1×pow1 cbrt-undiv frac-2neg div-exp clear-num div-inv add-log-exp
Counts
1 → 40
Calls
1 calls:
11.0ms
(/ (+ x y) (+ y 1.0))

series34.0ms

Counts
1 → 3
Calls
1 calls:
34.0ms
(/ (+ x y) (+ y 1.0))

simplify50.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 3 (46.0ms)

IterNodesCost
0191254
1588238
21797238
35001236

prune70.0ms

Filtered
43 candidates to 28 candidates (65.1%)
Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ y 1.0) (+ x y))
0.2b
(/ 1 (/ (+ y 1.0) (+ x y)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
155×*-un-lft-identity
146×times-frac
71×add-sqr-sqrt add-cube-cbrt
42×distribute-lft-out
26×associate-/r*
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube
8×div-exp
7×associate-/l*
6×flip3-+ flip-+ div-inv
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×pow-flip inv-pow
Counts
2 → 152
Calls
2 calls:
11.0ms
(/ (+ y 1.0) (+ x y))
13.0ms
(/ 1 (/ (+ y 1.0) (+ x y)))

series87.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ (+ y 1.0) (+ x y))
36.0ms
(/ 1 (/ (+ y 1.0) (+ x y)))

simplify55.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
04491228
121811095
25002973

prune171.0ms

Filtered
158 candidates to 68 candidates (43.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
490×*-un-lft-identity times-frac
288×sqrt-prod
218×add-sqr-sqrt add-cube-cbrt
136×distribute-lft-out
38×associate-/l*
20×sqrt-div associate-/r/
14×associate-/r*
11×flip3-+ flip-+
10×div-inv
9×add-exp-log add-cbrt-cube
4×cbrt-undiv div-exp
3×associate-/l/
2×pow1 frac-2neg clear-num add-log-exp
Counts
2 → 351
Calls
2 calls:
28.0ms
(/ (/ (+ x y) (sqrt (+ y 1.0))) (sqrt (+ y 1.0)))
12.0ms
(/ (+ x y) (sqrt (+ y 1.0)))

series111.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ (/ (+ x y) (sqrt (+ y 1.0))) (sqrt (+ y 1.0)))
78.0ms
(/ (+ x y) (sqrt (+ y 1.0)))

simplify86.0ms

Algorithm
egg-herbie
Counts
357 → 357
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
07304872
124624284
250014245

prune355.0ms

Filtered
357 candidates to 117 candidates (32.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ 1 (* (sqrt (sqrt (+ y 1.0))) (fabs (cbrt (+ y 1.0))))) (/ (/ (+ x y) (sqrt (sqrt (+ y 1.0)))) (sqrt (cbrt (+ y 1.0)))))
0.1b
(/ (/ (+ x y) (sqrt (sqrt (+ y 1.0)))) (sqrt (cbrt (+ y 1.0))))
0.2b
(cbrt (+ y 1.0))
0.2b
(cbrt (+ y 1.0))

rewrite405.0ms

Algorithm
rewrite-expression-head
Rules
1784×times-frac
1592×sqrt-prod
1549×*-un-lft-identity
818×add-sqr-sqrt
771×add-cube-cbrt
466×associate-*r*
389×distribute-lft-out
384×cbrt-prod
92×sqrt-div
87×add-exp-log
48×associate-/r/
46×associate-/l*
45×add-cbrt-cube
36×div-exp
30×prod-exp
26×flip3-+ flip-+
24×div-inv
18×cbrt-undiv
13×unswap-sqr
12×cbrt-unprod
10×associate-/r*
9×associate-*l*
8×cbrt-div
6×pow1 rec-exp 1-exp
4×add-log-exp
3×associate-*l/
2×pow1/3
1×frac-times frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l/
Counts
4 → 1091
Calls
4 calls:
241.0ms
(* (/ 1 (* (sqrt (sqrt (+ y 1.0))) (fabs (cbrt (+ y 1.0))))) (/ (/ (+ x y) (sqrt (sqrt (+ y 1.0)))) (sqrt (cbrt (+ y 1.0)))))
41.0ms
(/ (/ (+ x y) (sqrt (sqrt (+ y 1.0)))) (sqrt (cbrt (+ y 1.0))))
2.0ms
(cbrt (+ y 1.0))
2.0ms
(cbrt (+ y 1.0))

series487.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(* (/ 1 (* (sqrt (sqrt (+ y 1.0))) (fabs (cbrt (+ y 1.0))))) (/ (/ (+ x y) (sqrt (sqrt (+ y 1.0)))) (sqrt (cbrt (+ y 1.0)))))
129.0ms
(/ (/ (+ x y) (sqrt (sqrt (+ y 1.0)))) (sqrt (cbrt (+ y 1.0))))
91.0ms
(cbrt (+ y 1.0))
91.0ms
(cbrt (+ y 1.0))

simplify219.0ms

Algorithm
egg-herbie
Counts
1103 → 1103
Iterations

Useful iterations: 1 (47.0ms)

IterNodesCost
0270421992
1500120834

prune2.1s

Filtered
1103 candidates to 391 candidates (35.4%)
Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes33.0ms

Accuracy

0% (0.1b 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)

IterNodesCost
0124
1124

end0.0ms

sample258.0ms

Algorithm
intervals
Results
141.0ms7997×body80valid
0.0ms2×body320valid
0.0ms1×body1280valid