Details

Time bar (total: 2.9s)

sample15.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
083
193
293

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

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 flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 45
Calls
1 calls:
11.0ms
(/ (+ x y) (- x y))

series60.0ms

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

simplify47.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
0169288
1510274
21435270
35001270

prune75.0ms

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))

rewrite36.0ms

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×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 174
Calls
2 calls:
17.0ms
(/ 1 (/ (- x y) (+ x y)))
10.0ms
(/ (- x y) (+ x y))

series125.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(/ 1 (/ (- x y) (+ x y)))
61.0ms
(/ (- x y) (+ x y))

simplify55.0ms

Algorithm
egg-herbie
Counts
180 → 180
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
04861464
121981313
250011169

prune187.0ms

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)))

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
190×*-un-lft-identity
155×times-frac
114×add-sqr-sqrt
54×add-cube-cbrt
35×distribute-lft-out--
28×associate-/r/ distribute-lft-out
25×associate-/r*
20×difference-of-squares
15×distribute-rgt-out--
13×div-inv
12×add-exp-log flip3-+ flip-+
10×add-cbrt-cube
9×associate-/l*
6×add-log-exp
5×pow1
4×div-exp
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 → 185
Calls
4 calls:
65.0ms
(/ 1 (- (/ x (+ x y)) (/ y (+ x y))))
5.0ms
(/ y (+ x y))
5.0ms
(/ x (+ x y))
47.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series233.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(/ 1 (- (/ x (+ x y)) (/ y (+ x y))))
38.0ms
(/ y (+ x y))
40.0ms
(/ x (+ x y))
74.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify52.0ms

Algorithm
egg-herbie
Counts
197 → 197
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
04311483
116281397
250011296

prune302.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (/ y (+ x y)) 3)
0.1b
(* (/ y (+ x y)) (/ y (+ x y)))
0.2b
(pow (/ x (+ x y)) 3)
0.2b
(* (/ x (+ x y)) (/ x (+ x y)))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
218×*-un-lft-identity
176×times-frac
134×add-sqr-sqrt
110×add-cube-cbrt
48×swap-sqr distribute-lft-out
36×unpow-prod-down cube-prod associate-*r* associate-*l*
34×add-exp-log add-cbrt-cube
24×associate-/r/
20×pow1
12×flip3-+ flip-+ div-inv
10×cbrt-undiv div-exp
8×prod-exp cbrt-unprod unswap-sqr
6×pow-unpow
4×pow-exp add-log-exp rem-cube-cbrt
2×cube-div pow2 cube-mult frac-times pow-to-exp pow-pow pow-plus unpow3 associate-*r/ pow-prod-down associate-*l/ pow-sqr *-commutative pow-prod-up sqr-pow
Counts
4 → 288
Calls
4 calls:
8.0ms
(pow (/ y (+ x y)) 3)
32.0ms
(* (/ y (+ x y)) (/ y (+ x y)))
8.0ms
(pow (/ x (+ x y)) 3)
30.0ms
(* (/ x (+ x y)) (/ x (+ x y)))

series278.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(pow (/ y (+ x y)) 3)
59.0ms
(* (/ y (+ x y)) (/ y (+ x y)))
81.0ms
(pow (/ x (+ x y)) 3)
65.0ms
(* (/ x (+ x y)) (/ x (+ x y)))

simplify47.0ms

Algorithm
egg-herbie
Counts
300 → 300
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
010592018
150011734

prune676.0ms

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

sample412.0ms

Algorithm
intervals
Results
282.0ms8000×body80valid