Details

Time bar (total: 3.0s)

sample11.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify7.0ms

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

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite23.0ms

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:
22.0ms
(/ (- x y) (+ x y))

series59.0ms

Counts
1 → 3
Calls
1 calls:
59.0ms
(/ (- x y) (+ x y))

simplify46.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 3 (42.0ms)

IterNodesCost
0187290
1526276
21771276
35002273

prune70.0ms

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)))

rewrite103.0ms

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))
75.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series139.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ y (+ x y))
35.0ms
(/ x (+ x y))
67.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify66.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0260536
1791515
22132515
35001515

prune176.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (+ x y))
0.0b
(- (/ x (+ x y)) (log (exp (/ y (+ x y)))))
0.0b
(/ x (+ x y))
3.5b
(log (exp (/ y (+ x y))))

rewrite167.0ms

Algorithm
rewrite-expression-head
Rules
57×*-un-lft-identity
37×add-sqr-sqrt times-frac
32×add-cube-cbrt
20×log-pow
18×exp-prod
11×distribute-lft-out
8×add-exp-log associate-/r* add-cbrt-cube
6×pow1 log-prod associate-/r/ associate-/l*
5×add-log-exp
3×flip3-+ flip-+ div-inv associate--r+
2×cbrt-undiv frac-2neg div-exp clear-num distribute-lft-out-- difference-of-squares
1×sub-neg flip3-- diff-log rem-log-exp flip--
Counts
4 → 115
Calls
4 calls:
11.0ms
(/ y (+ x y))
117.0ms
(- (/ x (+ x y)) (log (exp (/ y (+ x y)))))
11.0ms
(/ x (+ x y))
24.0ms
(log (exp (/ y (+ x y))))

series172.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(/ y (+ x y))
66.0ms
(- (/ x (+ x y)) (log (exp (/ y (+ x y)))))
34.0ms
(/ x (+ x y))
37.0ms
(log (exp (/ y (+ x y))))

simplify58.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
0289626
1826575
22177572
35001572

prune248.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite453.0ms

Algorithm
rewrite-expression-head
Rules
293×*-un-lft-identity
148×times-frac
103×add-sqr-sqrt
100×cbrt-prod
54×distribute-lft-out--
52×distribute-lft-out
47×add-cube-cbrt
40×cbrt-div
34×swap-sqr
22×associate-/r/
20×associate-*r* associate-*l*
16×frac-times difference-of-squares
12×add-exp-log distribute-rgt-out-- associate-/r*
11×pow1 flip3-+ flip-+ div-inv
10×flip3-- frac-sub add-cbrt-cube flip-- sub-div
9×associate-/l*
6×pow1/3
4×associate-*r/ associate-*l/ add-log-exp unswap-sqr
3×cbrt-undiv frac-2neg div-exp clear-num
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 219
Calls
4 calls:
11.0ms
(/ x (+ x y))
12.0ms
(/ x (+ x y))
11.0ms
(/ x (+ x y))
404.0ms
(* (cbrt (- (/ x (+ x y)) (/ y (+ x y)))) (cbrt (- (/ x (+ x y)) (/ y (+ x y)))))

series217.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(/ x (+ x y))
35.0ms
(/ x (+ x y))
39.0ms
(/ x (+ x y))
105.0ms
(* (cbrt (- (/ x (+ x y)) (/ y (+ x y)))) (cbrt (- (/ x (+ x y)) (/ y (+ x y)))))

simplify97.0ms

Algorithm
egg-herbie
Counts
231 → 231
Iterations

Useful iterations: 3 (74.0ms)

IterNodesCost
03932594
112142528
238432266
350012258

prune479.0ms

Pruning

4 alts after pruning (0 fresh and 4 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
075
175

end0.0ms

sample292.0ms

Algorithm
intervals
Results
136.0ms8000×body80valid