Details

Time bar (total: 2.6s)

sample18.0ms

Algorithm
intervals
Results
8.0ms341×body80valid

simplify42.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0215
1655
21795
35125
413575
550015

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.6b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 x) (- 3.0 x))
5.2b
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
20×*-un-lft-identity
18×prod-diff
16×add-exp-log add-cube-cbrt add-cbrt-cube
12×flip3-- flip--
11×distribute-rgt-in distribute-lft-in
frac-times associate-/l/
associate-*r* associate-*l* prod-exp cbrt-unprod
pow1 cbrt-undiv associate-*r/ div-exp associate-*l/
expm1-log1p-u sub-neg log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
frac-2neg times-frac pow-prod-down clear-num associate-/r* *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 85
Calls
2 calls:
10.0ms
(* (- 1.0 x) (- 3.0 x))
13.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series74.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(* (- 1.0 x) (- 3.0 x))
50.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify79.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0497758
12837559
25002559

prune169.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- 3.0 x) 3.0)
0.0b
(/ (- 1.0 x) y)
0.1b
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
81×add-sqr-sqrt
69×*-un-lft-identity
64×times-frac
41×add-cube-cbrt
19×add-exp-log associate-*r* associate-*l* add-cbrt-cube
14×distribute-lft-out-- difference-of-squares
10×associate-/l*
cbrt-undiv div-exp associate-/r*
pow1
prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
expm1-log1p-u log1p-expm1-u add-log-exp
flip3-- frac-2neg div-sub clear-num flip--
frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 144
Calls
3 calls:
7.0ms
(/ (- 3.0 x) 3.0)
10.0ms
(/ (- 1.0 x) y)
18.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series121.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ (- 3.0 x) 3.0)
37.0ms
(/ (- 1.0 x) y)
45.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify69.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0571920
12402835
25001834

prune327.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- 3.0 x) 3.0)
0.1b
(* (- 1.0 x) (/ 1 y))
0.1b
(* (* (- 1.0 x) (/ 1 y)) (/ (- 3.0 x) 3.0))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
53×add-sqr-sqrt
49×add-exp-log
47×*-un-lft-identity
41×times-frac
32×associate-*r*
31×add-cbrt-cube
30×add-cube-cbrt
22×prod-exp
12×frac-times div-exp associate-*l/ cbrt-unprod
10×pow1
distribute-lft-out-- difference-of-squares
cbrt-undiv flip3-- flip--
associate-*l*
associate-/l*
associate-*r/ pow-prod-down
expm1-log1p-u rec-exp 1-exp associate-/r* un-div-inv log1p-expm1-u div-inv add-log-exp unswap-sqr
*-commutative associate-/l/
frac-2neg div-sub clear-num
Counts
3 → 145
Calls
3 calls:
10.0ms
(/ (- 3.0 x) 3.0)
11.0ms
(* (- 1.0 x) (/ 1 y))
16.0ms
(* (* (- 1.0 x) (/ 1 y)) (/ (- 3.0 x) 3.0))

series121.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ (- 3.0 x) 3.0)
37.0ms
(* (- 1.0 x) (/ 1 y))
45.0ms
(* (* (- 1.0 x) (/ 1 y)) (/ (- 3.0 x) 3.0))

simplify95.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
0657941
13426789
25001776

prune308.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- 1.0 x) y)
0.3b
(/ (* (/ (- 1.0 x) y) (- 3.0 x)) 3.0)
0.3b
(* (/ (- 1.0 x) y) (- 3.0 x))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt
53×*-un-lft-identity
37×add-cube-cbrt
34×times-frac
19×add-exp-log associate-*l* add-cbrt-cube
18×prod-diff
11×distribute-rgt-in distribute-lft-in
distribute-lft-out-- difference-of-squares
associate-/l/
cbrt-undiv div-exp associate-/r* associate-/l*
pow1 flip3-- associate-*r* flip--
frac-times associate-*r/ prod-exp cbrt-unprod
expm1-log1p-u log1p-expm1-u div-inv add-log-exp
sub-neg frac-2neg associate-*l/ clear-num unswap-sqr
div-sub pow-prod-down *-commutative
Counts
3 → 138
Calls
3 calls:
7.0ms
(/ (- 1.0 x) y)
13.0ms
(/ (* (/ (- 1.0 x) y) (- 3.0 x)) 3.0)
13.0ms
(* (/ (- 1.0 x) y) (- 3.0 x))

series126.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ (- 1.0 x) y)
44.0ms
(/ (* (/ (- 1.0 x) y) (- 3.0 x)) 3.0)
45.0ms
(* (/ (- 1.0 x) y) (- 3.0 x))

simplify81.0ms

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
06421097
13026880
25002874

prune267.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes51.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0156
1156

end0.0ms

sample438.0ms

Algorithm
intervals
Results
269.0ms10655×body80valid