Details

Time bar (total: 1.6s)

sample15.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
097
197

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

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:
7.0ms
(/ (+ x y) (- x y))

series8.0ms

Counts
1 → 3
Calls
1 calls:
8.0ms
(/ (+ x y) (- x y))

simplify42.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05215532

prune54.0ms

Filtered
32 candidates to 48 candidates (-50.0%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New43548
Fresh000
Picked101
Done000
Total44549

Merged error: 0.0b

Counts
49 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

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
(/ 1 (/ (- x y) (+ x y)))
7.0ms
(/ (- x y) (+ x y))

series16.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(/ 1 (/ (- x y) (+ x y)))
8.0ms
(/ (- x y) (+ x y))

simplify61.0ms

Algorithm
egg-herbie
Counts
180 → 180
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
051282391

prune114.0ms

Filtered
93 candidates to 180 candidates (-93.5%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1791180
Fresh044
Picked101
Done000
Total1805185

Merged error: 0.0b

Counts
185 → 5

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite65.0ms

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:
6.0ms
(/ x (+ x y))
5.0ms
(/ y (+ x y))
24.0ms
(/ 1 (- (/ x (+ x y)) (/ y (+ x y))))
21.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series34.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(/ x (+ x y))
5.0ms
(/ y (+ x y))
13.0ms
(/ 1 (- (/ x (+ x y)) (/ y (+ x y))))
11.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify84.0ms

Algorithm
egg-herbie
Counts
197 → 197
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
049612492
149612492

prune159.0ms

Filtered
127 candidates to 197 candidates (-55.1%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1952197
Fresh224
Picked101
Done000
Total1984202

Merged error: 0b

Counts
202 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- (cbrt (pow (/ x (+ x y)) 3)) (/ y (+ x y))))
0.0b
(- (cbrt (pow (/ x (+ x y)) 3)) (/ y (+ x y)))
0.2b
(pow (/ x (+ x y)) 3)
9.9b
(cbrt (pow (/ x (+ x y)) 3))

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
246×add-sqr-sqrt
157×times-frac
102×cbrt-prod
95×*-un-lft-identity
70×difference-of-squares
61×add-cube-cbrt
56×unpow-prod-down cube-prod
18×associate-/r*
12×distribute-lft-out sqr-pow
11×add-exp-log associate-/r/
9×add-cbrt-cube
6×pow1 add-log-exp
5×div-inv distribute-lft-out--
4×cube-div flip3-+ flip-+
3×pow-unpow cbrt-div div-exp associate-/l*
2×cbrt-undiv cube-mult flip3-- unpow3 pow-exp frac-sub flip-- rem-cube-cbrt
1×pow-to-exp sub-neg rec-exp pow-flip pow-pow frac-2neg pow1/3 diff-log 1-exp clear-num rem-cbrt-cube inv-pow
Counts
4 → 230
Calls
4 calls:
45.0ms
(/ 1 (- (cbrt (pow (/ x (+ x y)) 3)) (/ y (+ x y))))
41.0ms
(- (cbrt (pow (/ x (+ x y)) 3)) (/ y (+ x y)))
9.0ms
(pow (/ x (+ x y)) 3)
7.0ms
(cbrt (pow (/ x (+ x y)) 3))

series44.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(/ 1 (- (cbrt (pow (/ x (+ x y)) 3)) (/ y (+ x y))))
15.0ms
(- (cbrt (pow (/ x (+ x y)) 3)) (/ y (+ x y)))
10.0ms
(pow (/ x (+ x y)) 3)
5.0ms
(cbrt (pow (/ x (+ x y)) 3))

simplify54.0ms

Algorithm
egg-herbie
Counts
242 → 242
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
056484089

prune161.0ms

Filtered
113 candidates to 242 candidates (-114.2%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2420242
Fresh033
Picked011
Done000
Total2424246

Merged error: 0b

Counts
246 → 4

regimes84.0ms

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
01316
11316

end0.0ms

sample395.0ms

Algorithm
intervals
Results
184.0ms8000×body80valid

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