Details

Time bar (total: 3.7s)

sample14.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0155
1225
2265
3295
4305
5305

prune2.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
0.0b
(/ (* x y) 2.0)
7.2b
(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
108×*-un-lft-identity
93×add-sqr-sqrt
85×times-frac
80×add-cube-cbrt
54×prod-diff
15×associate-/l*
13×distribute-lft-out
12×associate-*r* associate-*l*
10×add-exp-log add-cbrt-cube
8×associate-/r/
7×associate-/r*
5×div-inv add-log-exp
4×flip3-+ *-commutative flip-+ unswap-sqr
3×pow1 cbrt-undiv expm1-log1p-u fma-neg div-exp log1p-expm1-u
2×frac-2neg clear-num difference-of-squares
1×sub-neg flip3-- diff-log prod-exp flip-- cbrt-unprod distribute-lft-out--
Counts
3 → 176
Calls
3 calls:
19.0ms
(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
7.0ms
(/ (* x y) 2.0)
14.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

series128.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
20.0ms
(/ (* x y) 2.0)
69.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify96.0ms

Algorithm
egg-herbie
Counts
185 → 185
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
08022879
133292121
250011964

prune235.0ms

Filtered
185 candidates to 111 candidates (40.0%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1814185
Fresh000
Picked101
Done000
Total1824186

Merged error: 0b

Counts
186 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ y (+ 1.0 (/ y (/ 2.0 x)))))
0.2b
(/ y (/ 2.0 x))
7.2b
(/ y (+ 1.0 (/ y (/ 2.0 x))))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
127×*-un-lft-identity
124×times-frac
104×add-sqr-sqrt
99×add-cube-cbrt
54×prod-diff
20×associate-/r*
17×associate-/r/
13×distribute-lft-out
10×add-exp-log add-cbrt-cube
9×div-inv associate-/l*
5×add-log-exp
4×cbrt-undiv flip3-+ div-exp flip-+
3×pow1 expm1-log1p-u frac-2neg fma-neg clear-num log1p-expm1-u
2×difference-of-squares
1×sub-neg flip3-- diff-log flip-- distribute-lft-out--
Counts
3 → 189
Calls
3 calls:
21.0ms
(- x (/ y (+ 1.0 (/ y (/ 2.0 x)))))
7.0ms
(/ y (/ 2.0 x))
16.0ms
(/ y (+ 1.0 (/ y (/ 2.0 x))))

series126.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(- x (/ y (+ 1.0 (/ y (/ 2.0 x)))))
22.0ms
(/ y (/ 2.0 x))
67.0ms
(/ y (+ 1.0 (/ y (/ 2.0 x))))

simplify106.0ms

Algorithm
egg-herbie
Counts
198 → 198
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
08683019
135752194
250012038

prune281.0ms

Filtered
198 candidates to 126 candidates (36.4%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1980198
Fresh033
Picked011
Done000
Total1984202

Merged error: 0b

Counts
202 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* y (/ 1 (+ 1.0 (/ (* x y) 2.0)))))
0.0b
(/ (* x y) 2.0)
0.2b
(/ 1 (+ 1.0 (/ (* x y) 2.0)))
7.0b
(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
157×add-sqr-sqrt
153×*-un-lft-identity
109×add-cube-cbrt
106×times-frac
87×prod-diff
84×associate-*r*
25×associate-*l*
22×add-exp-log
19×associate-/l* unswap-sqr
17×distribute-lft-out
16×add-cbrt-cube
11×associate-/r*
10×associate-*r/ associate-/r/
8×*-commutative
7×pow1
6×div-exp div-inv add-log-exp
5×flip3-+ prod-exp flip-+
4×cbrt-undiv expm1-log1p-u clear-num log1p-expm1-u difference-of-squares
3×frac-2neg fma-neg un-div-inv cbrt-unprod
2×rec-exp 1-exp distribute-lft-out--
1×sub-neg flip3-- pow-flip diff-log pow-prod-down flip-- inv-pow
Counts
4 → 270
Calls
4 calls:
29.0ms
(- x (* y (/ 1 (+ 1.0 (/ (* x y) 2.0)))))
7.0ms
(/ (* x y) 2.0)
14.0ms
(/ 1 (+ 1.0 (/ (* x y) 2.0)))
20.0ms
(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

series184.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(- x (* y (/ 1 (+ 1.0 (/ (* x y) 2.0)))))
20.0ms
(/ (* x y) 2.0)
56.0ms
(/ 1 (+ 1.0 (/ (* x y) 2.0)))
72.0ms
(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

simplify146.0ms

Algorithm
egg-herbie
Counts
282 → 282
Iterations

Useful iterations: 2 (103.0ms)

IterNodesCost
011234644
148793232
250013229

prune353.0ms

Filtered
282 candidates to 156 candidates (44.7%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New2802282
Fresh202
Picked011
Done011
Total2824286

Merged error: 0b

Counts
286 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

7.4b
(cbrt (+ 1.0 (/ (* x y) 2.0)))
7.4b
(cbrt (+ 1.0 (/ (* x y) 2.0)))
7.4b
(cbrt (+ 1.0 (/ (* x y) 2.0)))
7.4b
(cbrt (+ 1.0 (/ (* x y) 2.0)))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod *-un-lft-identity
8×add-sqr-sqrt add-cube-cbrt cbrt-div
4×pow1 add-exp-log expm1-log1p-u flip3-+ pow1/3 add-cbrt-cube flip-+ log1p-expm1-u distribute-lft-out add-log-exp
Counts
4 → 64
Calls
4 calls:
12.0ms
(cbrt (+ 1.0 (/ (* x y) 2.0)))
15.0ms
(cbrt (+ 1.0 (/ (* x y) 2.0)))
12.0ms
(cbrt (+ 1.0 (/ (* x y) 2.0)))
12.0ms
(cbrt (+ 1.0 (/ (* x y) 2.0)))

series1.1s

Counts
4 → 12
Calls
4 calls:
270.0ms
(cbrt (+ 1.0 (/ (* x y) 2.0)))
265.0ms
(cbrt (+ 1.0 (/ (* x y) 2.0)))
266.0ms
(cbrt (+ 1.0 (/ (* x y) 2.0)))
263.0ms
(cbrt (+ 1.0 (/ (* x y) 2.0)))

simplify75.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
0206848
1645800
22754776
35001776

prune288.0ms

Filtered
76 candidates to 72 candidates (5.3%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New76076
Fresh011
Picked011
Done022
Total76480

Merged error: 0b

Counts
80 → 4

regimes38.0ms

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
0105
1105

end0.0ms

sample324.0ms

Algorithm
intervals
Results
200.0ms8000×body80valid