Details

Time bar (total: 3.3s)

sample16.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0113
1143
2163
3163

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))

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-/l* distribute-lft-out-- difference-of-squares
4×associate-/r*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv flip3-- frac-2neg flip3-+ div-sub div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 46
Calls
1 calls:
11.0ms
(/ (- x y) (+ x y))

series66.0ms

Counts
1 → 3
Calls
1 calls:
66.0ms
(/ (- x y) (+ x y))

simplify54.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 3 (49.0ms)

IterNodesCost
0187290
1526276
21771276
35002273

prune88.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
63×*-un-lft-identity
40×times-frac
35×add-sqr-sqrt
23×add-cube-cbrt
12×distribute-lft-out
8×associate-/r* associate-/r/
7×add-exp-log add-cbrt-cube distribute-lft-out--
6×associate-/l*
5×add-log-exp
4×flip3-+ flip-+ div-inv difference-of-squares
3×pow1 distribute-rgt-out--
2×cbrt-undiv frac-2neg div-exp clear-num
1×sub-neg flip3-- diff-log frac-sub flip-- sub-div
Counts
3 → 94
Calls
3 calls:
6.0ms
(/ y (+ x y))
6.0ms
(/ x (+ x y))
50.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series155.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(/ y (+ x y))
40.0ms
(/ x (+ x y))
75.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify56.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0260536
1791515
22132515
35001515

prune178.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (/ y (+ x y)) (+ (/ y (+ x y)) (/ x (+ x y)))) (* (/ x (+ x y)) (/ x (+ x y))))
0.1b
(pow (/ x (+ x y)) 3)
0.1b
(* (/ x (+ x y)) (/ x (+ x y)))
0.1b
(pow (/ y (+ x y)) 3)

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
140×*-un-lft-identity
112×times-frac
86×add-sqr-sqrt
74×add-cube-cbrt
36×unpow-prod-down cube-prod
30×distribute-lft-out
27×frac-add
24×swap-sqr
22×add-exp-log add-cbrt-cube
18×associate-*r* associate-*l*
17×frac-times associate-*r/
16×associate-/r/
15×flip3-+ flip-+
13×pow1
11×associate-*l/
8×div-inv
6×cbrt-undiv pow-unpow div-exp add-log-exp
4×pow-exp prod-exp cbrt-unprod rem-cube-cbrt unswap-sqr
2×cube-div cube-mult pow-to-exp associate-+l+ pow-pow unpow3 sqr-pow
1×+-commutative pow2 distribute-rgt-in distribute-lft-in pow-plus pow-prod-down sum-log pow-sqr *-commutative pow-prod-up
Counts
4 → 234
Calls
4 calls:
47.0ms
(+ (* (/ y (+ x y)) (+ (/ y (+ x y)) (/ x (+ x y)))) (* (/ x (+ x y)) (/ x (+ x y))))
8.0ms
(pow (/ x (+ x y)) 3)
31.0ms
(* (/ x (+ x y)) (/ x (+ x y)))
8.0ms
(pow (/ y (+ x y)) 3)

series320.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(+ (* (/ y (+ x y)) (+ (/ y (+ x y)) (/ x (+ x y)))) (* (/ x (+ x y)) (/ x (+ x y))))
75.0ms
(pow (/ x (+ x y)) 3)
61.0ms
(* (/ x (+ x y)) (/ x (+ x y)))
77.0ms
(pow (/ y (+ x y)) 3)

simplify56.0ms

Algorithm
egg-herbie
Counts
246 → 246
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
012532337
150012020

prune522.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (/ x (+ x y)) 3)
0.1b
(* (/ x (+ x y)) (/ x (+ x y)))
0.1b
(pow (/ y (+ x y)) 3)
6.3b
(cbrt (pow (pow (/ x (+ x y)) 3) 3))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
199×*-un-lft-identity
160×times-frac
121×add-sqr-sqrt
114×unpow-prod-down cube-prod
109×add-cube-cbrt
90×cbrt-prod
42×distribute-lft-out
24×swap-sqr associate-/r/
22×add-exp-log add-cbrt-cube
18×associate-*r* associate-*l*
13×pow1
12×flip3-+ flip-+ div-inv
6×cbrt-undiv pow-unpow div-exp
5×cube-mult unpow3 sqr-pow
4×cube-div pow-exp prod-exp cbrt-unprod add-log-exp rem-cube-cbrt unswap-sqr
2×pow-to-exp pow-pow
1×pow2 frac-times cbrt-div pow-plus pow1/3 associate-*r/ pow-prod-down associate-*l/ pow-sqr *-commutative pow-prod-up rem-cbrt-cube
Counts
4 → 300
Calls
4 calls:
8.0ms
(pow (/ x (+ x y)) 3)
31.0ms
(* (/ x (+ x y)) (/ x (+ x y)))
11.0ms
(pow (/ y (+ x y)) 3)
22.0ms
(cbrt (pow (pow (/ x (+ x y)) 3) 3))

series337.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(pow (/ x (+ x y)) 3)
72.0ms
(* (/ x (+ x y)) (/ x (+ x y)))
101.0ms
(pow (/ y (+ x y)) 3)
84.0ms
(cbrt (pow (pow (/ x (+ x y)) 3) 3))

simplify54.0ms

Algorithm
egg-herbie
Counts
312 → 312
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
010512089
150011758

prune552.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes58.0ms

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
02024
12024

end0.0ms

sample417.0ms

Algorithm
intervals
Results
283.0ms8000×body80valid