Details

Time bar (total: 1.6s)

sample17.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0103
1143
2173
3183
4183

prune1.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 8.8b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

8.3b
(/ (* x y) (+ y 1.0))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity
add-exp-log add-cbrt-cube
times-frac associate-/r*
add-sqr-sqrt add-cube-cbrt
cbrt-undiv div-exp associate-/r/ distribute-lft-out
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))

series45.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(/ (* x y) (+ y 1.0))

simplify121.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0196146
1876121
24575120
35001120

prune42.0ms

Filtered
28 candidates to 20 candidates (71.4%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New25328
Fresh000
Picked101
Done000
Total26329

Merged error: 0b

Counts
29 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
92×*-un-lft-identity
60×add-sqr-sqrt add-cube-cbrt
19×associate-/r*
16×distribute-lft-out
add-exp-log add-cbrt-cube
associate-/l*
div-inv
cbrt-undiv div-exp
pow1 frac-2neg clear-num associate-/l/ add-log-exp
flip3-+ associate-/r/ flip-+
Counts
2 → 115
Calls
2 calls:
5.0ms
(/ (+ y 1.0) y)
10.0ms
(/ x (/ (+ y 1.0) y))

series89.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ (+ y 1.0) y)
42.0ms
(/ x (/ (+ y 1.0) y))

simplify53.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0426819
11855780
25002778

prune159.0ms

Filtered
121 candidates to 86 candidates (71.1%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1201121
Fresh112
Picked011
Done000
Total1213124

Merged error: 0b

Counts
124 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (+ y 1.0))
7.7b
(* (/ x (+ y 1.0)) y)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
25×add-sqr-sqrt times-frac
20×add-cube-cbrt
18×associate-*l*
add-exp-log add-cbrt-cube
distribute-lft-out
pow1 associate-/r* associate-/r/
associate-*r* associate-/l*
cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ div-inv add-log-exp unswap-sqr
frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 70
Calls
2 calls:
5.0ms
(/ x (+ y 1.0))
8.0ms
(* (/ x (+ y 1.0)) y)

series76.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ x (+ y 1.0))
42.0ms
(* (/ x (+ y 1.0)) y)

simplify37.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0301381
11184344
25001343

prune95.0ms

Filtered
76 candidates to 55 candidates (72.4%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New76076
Fresh011
Picked011
Done011
Total76379

Merged error: 0b

Counts
79 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

2.1b
(/ (/ (* x y) (sqrt (+ y 1.0))) (sqrt (+ y 1.0)))
2.4b
(/ (* x y) (sqrt (+ y 1.0)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
154×times-frac
106×*-un-lft-identity
96×sqrt-prod
58×add-sqr-sqrt add-cube-cbrt
24×distribute-lft-out
20×sqrt-div associate-/r/
16×add-exp-log add-cbrt-cube
14×associate-/r* associate-/l*
10×flip3-+ flip-+ div-inv
cbrt-undiv div-exp
pow1 frac-2neg prod-exp clear-num cbrt-unprod add-log-exp
associate-/l/
Counts
2 → 161
Calls
2 calls:
13.0ms
(/ (/ (* x y) (sqrt (+ y 1.0))) (sqrt (+ y 1.0)))
9.0ms
(/ (* x y) (sqrt (+ y 1.0)))

series174.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ (/ (* x y) (sqrt (+ y 1.0))) (sqrt (+ y 1.0)))
128.0ms
(/ (* x y) (sqrt (+ y 1.0)))

simplify67.0ms

Algorithm
egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
05931891
125001635
250011593

prune197.0ms

Filtered
167 candidates to 83 candidates (49.7%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1670167
Fresh000
Picked011
Done022
Total1673170

Merged error: 0b

Counts
170 → 3

regimes27.0ms

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
073
173

end0.0ms

sample280.0ms

Algorithm
intervals
Results
157.0ms8000×body80valid