Details

Time bar (total: 4.3s)

sample13.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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))

rewrite11.0ms

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:
10.0ms
(/ (- x y) (+ x y))

series72.0ms

Counts
1 → 3
Calls
1 calls:
72.0ms
(/ (- x y) (+ x y))

simplify49.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 3 (43.0ms)

IterNodesCost
0187290
1526276
21771276
35002273

prune76.0ms

Pruning

4 alts after pruning (3 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)))

rewrite59.0ms

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:
5.0ms
(/ y (+ x y))
5.0ms
(/ x (+ x y))
45.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series164.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(/ y (+ x y))
47.0ms
(/ x (+ x y))
77.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify58.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0260536
1791515
22132515
35001515

prune174.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite403.0ms

Algorithm
rewrite-expression-head
Rules
323×*-un-lft-identity
160×times-frac
151×cbrt-prod
121×add-sqr-sqrt
75×distribute-lft-out--
52×cbrt-div distribute-lft-out
34×swap-sqr
29×add-cube-cbrt
28×associate-/r/ difference-of-squares
21×distribute-rgt-out--
20×associate-*r* associate-*l*
16×frac-times
14×flip3-+ flip-+ div-inv
13×flip3-- frac-sub flip-- sub-div
11×pow1
9×pow1/3
6×add-exp-log
4×associate-*r/ associate-*l/ add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 207
Calls
4 calls:
31.0ms
(cbrt (- (/ x (+ x y)) (/ y (+ x y))))
30.0ms
(cbrt (- (/ x (+ x y)) (/ y (+ x y))))
31.0ms
(cbrt (- (/ x (+ x y)) (/ y (+ x y))))
296.0ms
(* (cbrt (- (/ x (+ x y)) (/ y (+ x y)))) (cbrt (- (/ x (+ x y)) (/ y (+ x y)))))

series594.0ms

Counts
4 → 12
Calls
4 calls:
160.0ms
(cbrt (- (/ x (+ x y)) (/ y (+ x y))))
163.0ms
(cbrt (- (/ x (+ x y)) (/ y (+ x y))))
151.0ms
(cbrt (- (/ x (+ x y)) (/ y (+ x y))))
120.0ms
(* (cbrt (- (/ x (+ x y)) (/ y (+ x y)))) (cbrt (- (/ x (+ x y)) (/ y (+ x y)))))

simplify91.0ms

Algorithm
egg-herbie
Counts
219 → 219
Iterations

Useful iterations: 3 (64.0ms)

IterNodesCost
03423164
19653071
231532785
350012777

prune496.0ms

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

rewrite359.0ms

Algorithm
rewrite-expression-head
Rules
323×*-un-lft-identity
160×times-frac
151×cbrt-prod
121×add-sqr-sqrt
75×distribute-lft-out--
52×cbrt-div distribute-lft-out
34×swap-sqr
29×add-cube-cbrt
28×associate-/r/ difference-of-squares
21×distribute-rgt-out--
20×associate-*r* associate-*l*
16×frac-times
14×flip3-+ flip-+ div-inv
13×flip3-- frac-sub flip-- sub-div
11×pow1
9×pow1/3
6×add-exp-log
4×associate-*r/ associate-*l/ add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 207
Calls
4 calls:
31.0ms
(cbrt (- (/ x (+ x y)) (/ y (+ x y))))
31.0ms
(cbrt (- (/ x (+ x y)) (/ y (+ x y))))
29.0ms
(cbrt (- (/ x (+ x y)) (/ y (+ x y))))
252.0ms
(* (cbrt (- (/ x (+ x y)) (/ y (+ x y)))) (cbrt (- (/ x (+ x y)) (/ y (+ x y)))))

series605.0ms

Counts
4 → 12
Calls
4 calls:
159.0ms
(cbrt (- (/ x (+ x y)) (/ y (+ x y))))
162.0ms
(cbrt (- (/ x (+ x y)) (/ y (+ x y))))
163.0ms
(cbrt (- (/ x (+ x y)) (/ y (+ x y))))
120.0ms
(* (cbrt (- (/ x (+ x y)) (/ y (+ x y)))) (cbrt (- (/ x (+ x y)) (/ y (+ x y)))))

simplify95.0ms

Algorithm
egg-herbie
Counts
219 → 219
Iterations

Useful iterations: 3 (63.0ms)

IterNodesCost
03423164
19653071
231532785
350012777

prune609.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes42.0ms

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
147.0ms8000×body80valid