Details

Time bar (total: 3.2s)

sample12.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0113
1143
2163
3163

prune1.0ms

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))

rewrite24.0ms

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:
23.0ms
(/ (- x y) (+ x y))

series58.0ms

Counts
1 → 3
Calls
1 calls:
58.0ms
(/ (- x y) (+ x y))

simplify49.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 3 (44.0ms)

IterNodesCost
0187290
1526276
21771276
35002273

prune73.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize5.0ms

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)))

rewrite97.0ms

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:
11.0ms
(/ y (+ x y))
13.0ms
(/ x (+ x y))
70.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series139.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ y (+ x y))
34.0ms
(/ x (+ x y))
67.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify55.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0260536
1791515
22132515
35001515

prune165.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite713.0ms

Algorithm
rewrite-expression-head
Rules
650×*-un-lft-identity
643×times-frac
540×add-sqr-sqrt
292×unpow-prod-down cube-prod
192×add-cube-cbrt
144×difference-of-squares
116×distribute-lft-out--
103×associate-/r/
94×distribute-lft-out
81×associate-/l*
50×sqr-pow
48×distribute-rgt-out--
47×flip3-+ flip-+
41×div-inv
27×frac-add
24×add-exp-log swap-sqr add-cbrt-cube
18×associate-*r* associate-*l*
17×frac-times associate-*r/
13×pow1
11×associate-*l/
7×cbrt-undiv div-exp
6×cube-div pow-unpow
4×difference-cubes pow-exp prod-exp cbrt-unprod associate-/l/ add-log-exp rem-cube-cbrt unswap-sqr
3×associate-/r*
2×cube-mult pow-to-exp pow-pow unpow3
1×pow2 flip3-- frac-2neg pow-plus div-sub pow-prod-down clear-num pow-sqr *-commutative pow-prod-up frac-sub flip-- sub-div
Counts
4 → 567
Calls
4 calls:
581.0ms
(/ (- (pow (/ x (+ x y)) 3) (pow (/ y (+ x y)) 3)) (+ (* (/ y (+ x y)) (+ (/ y (+ x y)) (/ x (+ x y)))) (* (/ x (+ x y)) (/ x (+ x y)))))
51.0ms
(* (/ x (+ x y)) (/ x (+ x y)))
13.0ms
(pow (/ x (+ x y)) 3)
16.0ms
(pow (/ y (+ x y)) 3)

series347.0ms

Counts
4 → 12
Calls
4 calls:
155.0ms
(/ (- (pow (/ x (+ x y)) 3) (pow (/ y (+ x y)) 3)) (+ (* (/ y (+ x y)) (+ (/ y (+ x y)) (/ x (+ x y)))) (* (/ x (+ x y)) (/ x (+ x y)))))
55.0ms
(* (/ x (+ x y)) (/ x (+ x y)))
69.0ms
(pow (/ x (+ x y)) 3)
68.0ms
(pow (/ y (+ x y)) 3)

simplify159.0ms

Algorithm
egg-herbie
Counts
579 → 579
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
0180915716
1500215411

prune928.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes44.0ms

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
075
175

end0.0ms

sample313.0ms

Algorithm
intervals
Results
145.0ms8000×body80valid