Details

Time bar (total: 2.2s)

sample11.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
083
193
293

prune2.0ms

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))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
22×add-sqr-sqrt
20×times-frac
12×add-cube-cbrt
distribute-lft-out
associate-/r* distribute-lft-out-- difference-of-squares
associate-/l*
add-exp-log add-cbrt-cube
associate-/r/ associate-/l/
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:
7.0ms
(/ (+ x y) (- x y))

series65.0ms

Counts
1 → 3
Calls
1 calls:
65.0ms
(/ (+ x y) (- x y))

simplify45.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
0174296
1526282
21532278
35001278

prune77.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (- x y))
0.2b
(* (/ 1 (- x y)) (+ x y))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
39×*-un-lft-identity
32×times-frac
22×add-cube-cbrt
21×associate-*l*
15×add-exp-log
add-cbrt-cube
distribute-lft-out-- difference-of-squares
pow1 associate-/r*
div-exp associate-*r* prod-exp associate-/r/
associate-/l* unswap-sqr
cbrt-undiv expm1-log1p-u frac-times rec-exp flip3-- flip3-+ 1-exp associate-*r/ flip-- cbrt-unprod flip-+ log1p-expm1-u div-inv add-log-exp
distribute-rgt-in pow-flip frac-2neg distribute-lft-in pow-prod-down associate-*l/ clear-num *-commutative distribute-lft-out inv-pow
Counts
2 → 95
Calls
2 calls:
5.0ms
(/ 1 (- x y))
11.0ms
(* (/ 1 (- x y)) (+ x y))

series96.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ 1 (- x y))
63.0ms
(* (/ 1 (- x y)) (+ x y))

simplify43.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0412498
11980433
25001396

prune137.0ms

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

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
82×*-un-lft-identity
60×add-sqr-sqrt
59×times-frac
34×add-cube-cbrt
21×fma-def
15×distribute-lft-out--
13×difference-of-squares
10×associate-/r* associate-/r/
distribute-lft-out
add-exp-log add-cbrt-cube
associate-/l*
flip3-- flip-- div-inv add-log-exp
pow1 expm1-log1p-u distribute-rgt-out log1p-expm1-u
cbrt-undiv frac-2neg div-exp clear-num
+-commutative flip3-+ frac-add sum-log flip-+
Counts
3 → 124
Calls
3 calls:
5.0ms
(/ x (- x y))
5.0ms
(/ y (- x y))
24.0ms
(+ (/ x (- x y)) (/ y (- x y)))

series165.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(/ x (- x y))
44.0ms
(/ y (- x y))
80.0ms
(+ (/ x (- x y)) (/ y (- x y)))

simplify73.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0291565
1907544
22734544
35002544

prune247.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (- x y))
0.0b
(+ (cbrt (pow (/ x (- x y)) 3)) (/ y (- x y)))
0.1b
(pow (/ x (- x y)) 3)
12.4b
(cbrt (pow (/ x (- x y)) 3))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
118×*-un-lft-identity
116×add-sqr-sqrt
105×times-frac
96×cbrt-prod
72×add-cube-cbrt
63×unpow-prod-down cube-prod
51×fma-def
22×distribute-lft-out-- difference-of-squares
14×associate-/r/
add-exp-log add-cbrt-cube
flip3-- flip-- div-inv
add-log-exp
pow1 associate-/r*
expm1-log1p-u log1p-expm1-u
cube-div cube-mult pow-unpow unpow3 associate-/l* sqr-pow
cbrt-undiv cbrt-div div-exp pow-exp rem-cube-cbrt
+-commutative pow-to-exp pow-pow frac-2neg flip3-+ pow1/3 frac-add clear-num sum-log rem-cbrt-cube flip-+ distribute-lft-out
Counts
4 → 229
Calls
4 calls:
5.0ms
(/ y (- x y))
52.0ms
(+ (cbrt (pow (/ x (- x y)) 3)) (/ y (- x y)))
7.0ms
(pow (/ x (- x y)) 3)
8.0ms
(cbrt (pow (/ x (- x y)) 3))

series304.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(/ y (- x y))
111.0ms
(+ (cbrt (pow (/ x (- x y)) 3)) (/ y (- x y)))
82.0ms
(pow (/ x (- x y)) 3)
63.0ms
(cbrt (pow (/ x (- x y)) 3))

simplify66.0ms

Algorithm
egg-herbie
Counts
241 → 241
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
05741159
124821043
250021032

prune388.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes23.0ms

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
0107
1107

end0.0ms

sample263.0ms

Algorithm
intervals
Results
144.0ms8000×body80valid