Details

Time bar (total: 3.0s)

sample18.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
083
193
293

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))

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))

series63.0ms

Counts
1 → 3
Calls
1 calls:
63.0ms
(/ (+ x y) (- x y))

simplify45.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
0174296
1526282
21532278
35001278

prune79.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite37.0ms

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:
13.0ms
(/ 1 (/ (- x y) (+ x y)))
14.0ms
(/ (- x y) (+ x y))

series126.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(/ 1 (/ (- x y) (+ x y)))
64.0ms
(/ (- x y) (+ x y))

simplify56.0ms

Algorithm
egg-herbie
Counts
184 → 184
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
04951481
122241328
250011183

prune203.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite182.0ms

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:
64.0ms
(/ 1 (- (/ x (+ x y)) (/ y (+ x y))))
5.0ms
(/ y (+ x y))
5.0ms
(/ x (+ x y))
63.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series238.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(/ 1 (- (/ x (+ x y)) (/ y (+ x y))))
41.0ms
(/ y (+ x y))
38.0ms
(/ x (+ x y))
79.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify149.0ms

Algorithm
egg-herbie
Counts
547 → 547
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
0109011870
134908594
250017644

prune544.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (+ x y))
0.0b
(expm1 (log1p (/ y (+ x y))))
0.0b
(/ x (+ x y))
0.0b
(- (/ x (+ x y)) (expm1 (log1p (/ y (+ x y)))))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
114×*-un-lft-identity
77×add-sqr-sqrt
73×times-frac
72×add-cube-cbrt
54×prod-diff
20×distribute-lft-out
18×fma-neg
12×associate-/r/
8×add-exp-log associate-/r* add-cbrt-cube
6×flip3-+ flip-+ div-inv associate-/l* add-log-exp
4×pow1 expm1-log1p-u log1p-expm1-u
2×cbrt-undiv frac-2neg div-exp clear-num expm1-udef difference-of-squares
1×sub-neg expm1-log1p flip3-- diff-log flip-- distribute-lft-out-- associate--r-
Counts
4 → 171
Calls
4 calls:
5.0ms
(/ y (+ x y))
0.0ms
(expm1 (log1p (/ y (+ x y))))
8.0ms
(/ x (+ x y))
36.0ms
(- (/ x (+ x y)) (expm1 (log1p (/ y (+ x y)))))

series270.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(/ y (+ x y))
76.0ms
(expm1 (log1p (/ y (+ x y))))
39.0ms
(/ x (+ x y))
108.0ms
(- (/ x (+ x y)) (expm1 (log1p (/ y (+ x y)))))

simplify140.0ms

Algorithm
egg-herbie
Counts
183 → 183
Iterations

Useful iterations: 3 (115.0ms)

IterNodesCost
03952603
112471360
248261324
350011318

prune310.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes25.0ms

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
0116
1116

end0.0ms

sample404.0ms

Algorithm
intervals
Results
280.0ms8000×body80valid