Details

Time bar (total: 1.4s)

sample10.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
052
152

prune2.0ms

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: 0.0b

Counts
2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ x (+ y x))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
12×times-frac
10×add-sqr-sqrt add-cube-cbrt
4×associate-/r* distribute-lft-out
3×add-exp-log add-cbrt-cube associate-/l*
2×associate-/r/
1×pow1 cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv add-log-exp
Counts
1 → 33
Calls
1 calls:
8.0ms
(/ x (+ y x))

series39.0ms

Counts
1 → 3
Calls
1 calls:
39.0ms
(/ x (+ y x))

simplify81.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0118153
1378144
21031144
33646144
45001144

prune54.0ms

Filtered
36 candidates to 25 candidates (69.4%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New34236
Fresh000
Picked011
Done000
Total34337

Merged error: 0b

Counts
37 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ y x) x)
0.4b
(/ 1 (/ (+ y x) x))

rewrite22.0ms

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
15×add-exp-log
9×add-cbrt-cube
8×div-exp
7×associate-/l*
6×div-inv
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×pow-flip flip3-+ associate-/r/ flip-+ inv-pow
Counts
2 → 121
Calls
2 calls:
5.0ms
(/ (+ y x) x)
8.0ms
(/ 1 (/ (+ y x) x))

series58.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(/ (+ y x) x)
41.0ms
(/ 1 (/ (+ y x) x))

simplify46.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0348800
11547702
25001612

prune136.0ms

Filtered
127 candidates to 60 candidates (47.2%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1261127
Fresh101
Picked101
Done011
Total1282130

Merged error: 0b

Counts
130 → 2

localize7.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (sqrt (/ (+ y x) x)) (sqrt (/ (+ y x) x)))
0.3b
(/ 1 (* (sqrt (/ (+ y x) x)) (sqrt (/ (+ y x) x))))
4.1b
(sqrt (/ (+ y x) x))
4.1b
(sqrt (/ (+ y x) x))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
122×sqrt-prod
116×*-un-lft-identity
96×add-sqr-sqrt
95×times-frac
62×add-cube-cbrt
37×pow1
27×swap-sqr
24×distribute-lft-out
19×associate-*r* associate-*l*
18×sqrt-pow1 pow1/2
17×add-exp-log
14×pow-flip
11×add-cbrt-cube
10×sqrt-div pow-prod-up
9×unswap-sqr
7×div-inv
6×pow-prod-down pow-sqr
4×rem-sqrt-square div-exp prod-exp add-log-exp
3×associate-/r/ associate-/l*
2×cbrt-undiv pow2 frac-times rec-exp pow-plus 1-exp associate-*r/ associate-*l/ cbrt-unprod
1×frac-2neg sqrt-unprod clear-num associate-/r* rem-square-sqrt *-commutative inv-pow
Counts
4 → 201
Calls
4 calls:
19.0ms
(* (sqrt (/ (+ y x) x)) (sqrt (/ (+ y x) x)))
18.0ms
(/ 1 (* (sqrt (/ (+ y x) x)) (sqrt (/ (+ y x) x))))
5.0ms
(sqrt (/ (+ y x) x))
5.0ms
(sqrt (/ (+ y x) x))

series167.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* (sqrt (/ (+ y x) x)) (sqrt (/ (+ y x) x)))
43.0ms
(/ 1 (* (sqrt (/ (+ y x) x)) (sqrt (/ (+ y x) x))))
50.0ms
(sqrt (/ (+ y x) x))
57.0ms
(sqrt (/ (+ y x) x))

simplify72.0ms

Algorithm
egg-herbie
Counts
213 → 213
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
03481340
118621151
250011110

prune320.0ms

Filtered
213 candidates to 119 candidates (55.9%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2130213
Fresh000
Picked011
Done011
Total2132215

Merged error: 0b

Counts
215 → 2

regimes33.0ms

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
052
152

end0.0ms

sample253.0ms

Algorithm
intervals
Results
128.0ms8000×body80valid