Details

Time bar (total: 2.6s)

sample17.0ms

Algorithm
intervals
Results
8.0ms341×body80valid

simplify35.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0215
1655
21755
34755
411835
550015

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.6b

localize6.0ms

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))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
12×flip3-- flip--
10×add-sqr-sqrt
frac-times *-un-lft-identity associate-/l/
associate-*r* associate-*l* prod-exp cbrt-unprod
pow1 cbrt-undiv add-cube-cbrt associate-*r/ div-exp associate-*l/
distribute-rgt-in sub-neg distribute-lft-in 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 → 63
Calls
2 calls:
9.0ms
(* (- 1.0 x) (- 3.0 x))
12.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series68.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(* (- 1.0 x) (- 3.0 x))
43.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify55.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0413460
12310393
25001393

prune128.0ms

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))

rewrite37.0ms

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
add-log-exp
flip3-- frac-2neg div-sub clear-num flip--
frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 138
Calls
3 calls:
6.0ms
(/ (- 3.0 x) 3.0)
6.0ms
(/ (- 1.0 x) y)
20.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series117.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ (- 3.0 x) 3.0)
36.0ms
(/ (- 1.0 x) y)
43.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify66.0ms

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0559898
12363816
25001815

prune276.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
70×add-sqr-sqrt
57×*-un-lft-identity
51×times-frac
27×add-cube-cbrt
19×associate-*r*
15×distribute-lft-out-- difference-of-squares
12×associate-*l*
10×add-exp-log add-cbrt-cube
div-inv
pow1 associate-/l* add-log-exp
frac-times flip3-- associate-*l/ flip--
associate-/r* frac-sub sub-div
cbrt-undiv distribute-rgt-out-- div-exp prod-exp cbrt-unprod associate-/l/ unswap-sqr
sub-neg frac-2neg diff-log div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
3 → 116
Calls
3 calls:
6.0ms
(/ (- 3.0 x) 3.0)
16.0ms
(- (/ 1.0 y) (/ x y))
24.0ms
(* (- (/ 1.0 y) (/ x y)) (/ (- 3.0 x) 3.0))

series119.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ (- 3.0 x) 3.0)
30.0ms
(- (/ 1.0 y) (/ x y))
53.0ms
(* (- (/ 1.0 y) (/ x y)) (/ (- 3.0 x) 3.0))

simplify55.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0446843
11852781
25002780

prune251.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
237×times-frac
178×add-sqr-sqrt
169×*-un-lft-identity
117×add-cube-cbrt
61×associate-*r*
26×distribute-lft-out-- difference-of-squares
24×associate-/l*
19×add-exp-log add-cbrt-cube
10×div-inv
cbrt-undiv div-exp
associate-/r*
pow1 associate-*l*
flip3-- div-sub prod-exp flip-- cbrt-unprod associate-/l/ add-log-exp unswap-sqr
frac-times frac-2neg associate-*l/ clear-num
associate-*r/ pow-prod-down *-commutative
Counts
3 → 222
Calls
3 calls:
6.0ms
(/ (- 3.0 x) 3.0)
9.0ms
(/ (/ (- 3.0 x) 3.0) y)
28.0ms
(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))

series124.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ (- 3.0 x) 3.0)
37.0ms
(/ (/ (- 3.0 x) 3.0) y)
49.0ms
(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))

simplify105.0ms

Algorithm
egg-herbie
Counts
231 → 231
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
07941722
139861628
250021628

prune462.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes44.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0116
1116

end0.0ms

sample489.0ms

Algorithm
intervals
Results
303.0ms10655×body80valid