Details

Time bar (total: 2.8s)

sample14.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
083
193
293

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
22×add-sqr-sqrt
20×times-frac
12×add-cube-cbrt
6×distribute-lft-out
5×associate-/r* distribute-lft-out-- difference-of-squares
4×associate-/l*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 45
Calls
1 calls:
11.0ms
(/ (+ x y) (- x y))

series65.0ms

Counts
1 → 3
Calls
1 calls:
65.0ms
(/ (+ x y) (- x y))

simplify48.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
0169288
1510274
21435270
35001270

prune80.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
178×times-frac
174×*-un-lft-identity
122×add-sqr-sqrt
80×add-cube-cbrt
30×associate-/r*
26×distribute-lft-out
21×distribute-lft-out-- difference-of-squares
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube
8×div-exp associate-/l*
6×div-inv
5×flip3-+ flip-+
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 174
Calls
2 calls:
10.0ms
(/ (- x y) (+ x y))
13.0ms
(/ 1 (/ (- x y) (+ x y)))

series130.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(/ (- x y) (+ x y))
65.0ms
(/ 1 (/ (- x y) (+ x y)))

simplify58.0ms

Algorithm
egg-herbie
Counts
180 → 180
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
04861464
121981313
250011169

prune205.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
190×*-un-lft-identity
155×times-frac
114×add-sqr-sqrt
54×add-cube-cbrt
35×distribute-lft-out--
28×associate-/r/ distribute-lft-out
25×associate-/r*
20×difference-of-squares
15×distribute-rgt-out--
13×div-inv
12×add-exp-log flip3-+ flip-+
10×add-cbrt-cube
9×associate-/l*
6×add-log-exp
5×pow1
4×div-exp
3×cbrt-undiv frac-2neg clear-num
2×flip3-- frac-sub flip-- sub-div
1×sub-neg rec-exp pow-flip diff-log 1-exp inv-pow
Counts
4 → 185
Calls
4 calls:
5.0ms
(/ y (+ x y))
5.0ms
(/ x (+ x y))
64.0ms
(/ 1 (- (/ x (+ x y)) (/ y (+ x y))))
47.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series234.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(/ y (+ x y))
41.0ms
(/ x (+ x y))
81.0ms
(/ 1 (- (/ x (+ x y)) (/ y (+ x y))))
74.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify54.0ms

Algorithm
egg-herbie
Counts
197 → 197
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
04311483
116281397
250011296

prune289.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (- (/ x (+ x y)) (/ y (+ x y))))
0.0b
(- (/ x (+ x y)) (/ y (+ x y)))
0.0b
(- (/ x (+ x y)) (/ y (+ x y)))
0.0b
(- (/ x (+ x y)) (/ y (+ x y)))

rewrite169.0ms

Algorithm
rewrite-expression-head
Rules
109×*-un-lft-identity
64×times-frac
61×add-sqr-sqrt
28×distribute-lft-out--
17×cbrt-prod
16×associate-/r/ distribute-lft-out difference-of-squares
13×add-cube-cbrt
12×distribute-rgt-out--
10×add-log-exp
8×flip3-+ flip-+ div-inv
4×pow1 add-exp-log cbrt-div flip3-- frac-sub add-cbrt-cube flip-- sub-div
3×sub-neg diff-log
1×pow1/3
Counts
4 → 113
Calls
4 calls:
30.0ms
(cbrt (- (/ x (+ x y)) (/ y (+ x y))))
45.0ms
(- (/ x (+ x y)) (/ y (+ x y)))
45.0ms
(- (/ x (+ x y)) (/ y (+ x y)))
43.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series375.0ms

Counts
4 → 12
Calls
4 calls:
154.0ms
(cbrt (- (/ x (+ x y)) (/ y (+ x y))))
73.0ms
(- (/ x (+ x y)) (/ y (+ x y)))
74.0ms
(- (/ x (+ x y)) (/ y (+ x y)))
74.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify108.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 3 (32.0ms)

IterNodesCost
02101058
14061006
29571004
33286998
45002998

prune361.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes50.0ms

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
063
163

end0.0ms

sample368.0ms

Algorithm
intervals
Results
246.0ms8000×body80valid