Details

Time bar (total: 4.1s)

sample12.0ms

Algorithm
intervals
Results
5.0ms256×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

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

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 expm1-log1p-u flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 47
Calls
1 calls:
11.0ms
(/ (+ x y) (- x y))

series64.0ms

Counts
1 → 3
Calls
1 calls:
64.0ms
(/ (+ x y) (- x y))

simplify45.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0174296
1526282
21532278
35001278

prune79.0ms

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)))

rewrite40.0ms

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×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 178
Calls
2 calls:
12.0ms
(/ (- x y) (+ x y))
14.0ms
(/ 1 (/ (- x y) (+ x y)))

series127.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(/ (- x y) (+ x y))
62.0ms
(/ 1 (/ (- x y) (+ x y)))

simplify61.0ms

Algorithm
egg-herbie
Counts
184 → 184
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
04951481
122241328
250011183

prune195.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite190.0ms

Algorithm
rewrite-expression-head
Rules
708×*-un-lft-identity
599×times-frac
410×add-sqr-sqrt
350×add-cube-cbrt
324×prod-diff
139×distribute-lft-out
102×associate-/r/
50×div-inv
49×flip3-+ flip-+
35×distribute-lft-out--
25×associate-/r*
20×difference-of-squares
18×fma-neg
15×distribute-rgt-out--
12×add-exp-log
10×add-cbrt-cube
9×associate-/l*
6×add-log-exp
5×pow1
4×expm1-log1p-u div-exp log1p-expm1-u
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 → 535
Calls
4 calls:
5.0ms
(/ y (+ x y))
5.0ms
(/ x (+ x y))
66.0ms
(- (/ x (+ x y)) (/ y (+ x y)))
70.0ms
(/ 1 (- (/ x (+ x y)) (/ y (+ x y))))

series238.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(/ y (+ x y))
41.0ms
(/ x (+ x y))
73.0ms
(- (/ x (+ x y)) (/ y (+ x y)))
86.0ms
(/ 1 (- (/ x (+ x y)) (/ y (+ x y))))

simplify156.0ms

Algorithm
egg-herbie
Counts
547 → 547
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
0109011870
135008594
250027644

prune572.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite431.0ms

Algorithm
rewrite-expression-head
Rules
1070×*-un-lft-identity
956×times-frac
644×add-sqr-sqrt
440×add-cube-cbrt
324×prod-diff
179×distribute-lft-out
150×associate-/r/
136×unpow-prod-down cube-prod
128×cbrt-prod
119×distribute-lft-out--
73×div-inv
71×flip3-+ flip-+
68×difference-of-squares
51×distribute-rgt-out--
40×associate-/r*
18×fma-neg
14×add-exp-log
12×cube-div
8×cube-mult unpow3 sqr-pow
7×add-cbrt-cube
6×div-exp add-log-exp
5×pow1
4×expm1-log1p-u pow-to-exp flip3-- pow-exp frac-sub flip-- log1p-expm1-u sub-div
3×rec-exp pow-unpow 1-exp associate-/l*
1×cbrt-undiv sub-neg cbrt-div pow-flip pow-pow frac-2neg pow1/3 diff-log clear-num inv-pow rem-cube-cbrt
Counts
4 → 759
Calls
4 calls:
67.0ms
(- (/ x (+ x y)) (/ y (+ x y)))
140.0ms
(/ 1 (pow (- (/ x (+ x y)) (/ y (+ x y))) 3))
75.0ms
(cbrt (/ 1 (pow (- (/ x (+ x y)) (/ y (+ x y))) 3)))
73.0ms
(pow (- (/ x (+ x y)) (/ y (+ x y))) 3)

series357.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(- (/ x (+ x y)) (/ y (+ x y)))
92.0ms
(/ 1 (pow (- (/ x (+ x y)) (/ y (+ x y))) 3))
82.0ms
(cbrt (/ 1 (pow (- (/ x (+ x y)) (/ y (+ x y))) 3)))
107.0ms
(pow (- (/ x (+ x y)) (/ y (+ x y))) 3)

simplify156.0ms

Algorithm
egg-herbie
Counts
771 → 771
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
0139415917
1500112019

prune1.0s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

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
063
163

end0.0ms

sample275.0ms

Algorithm
intervals
Results
150.0ms8000×body80valid