Details

Time bar (total: 2.6s)

sample18.0ms

Algorithm
intervals
Results
8.0ms366×body80valid

simplify36.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0215
1655
21755
34755
411835
550015

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.3b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 x) (- 3.0 x))
5.9b
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
12×flip3-- flip--
10×add-sqr-sqrt
8×frac-times *-un-lft-identity associate-/l/
5×associate-*r* associate-*l* prod-exp cbrt-unprod
4×pow1 cbrt-undiv add-cube-cbrt associate-*r/ div-exp associate-*l/
2×distribute-rgt-in sub-neg distribute-lft-in distribute-lft-out-- add-log-exp difference-of-squares
1×frac-2neg times-frac pow-prod-down clear-num associate-/r* *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 63
Calls
2 calls:
17.0ms
(* (- 1.0 x) (- 3.0 x))
11.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series68.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(* (- 1.0 x) (- 3.0 x))
46.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify54.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0413460
12310393
25001393

prune125.0ms

Filtered
69 candidates to 47 candidates (68.1%)
Pruning

5 alts after pruning (5 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))

rewrite51.0ms

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*
6×cbrt-undiv div-exp associate-/r*
5×pow1
4×prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
3×add-log-exp
2×flip3-- frac-2neg div-sub clear-num flip--
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 138
Calls
3 calls:
7.0ms
(/ (- 3.0 x) 3.0)
9.0ms
(/ (- 1.0 x) y)
29.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series114.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ (- 3.0 x) 3.0)
35.0ms
(/ (- 1.0 x) y)
43.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify65.0ms

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0559898
12363816
25001815

prune271.0ms

Filtered
147 candidates to 104 candidates (70.7%)
Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite73.0ms

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
7×cbrt-undiv div-exp
6×associate-/r*
5×pow1 associate-*l*
3×flip3-- div-sub prod-exp flip-- cbrt-unprod associate-/l/ add-log-exp unswap-sqr
2×frac-times frac-2neg associate-*l/ clear-num
1×associate-*r/ pow-prod-down *-commutative
Counts
3 → 222
Calls
3 calls:
7.0ms
(/ (- 3.0 x) 3.0)
41.0ms
(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))
12.0ms
(/ (/ (- 3.0 x) 3.0) y)

series136.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(/ (- 3.0 x) 3.0)
47.0ms
(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))
39.0ms
(/ (/ (- 3.0 x) 3.0) y)

simplify114.0ms

Algorithm
egg-herbie
Counts
231 → 231
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
07941722
139861628
250021628

prune460.0ms

Filtered
231 candidates to 170 candidates (73.6%)
Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* 1.0 (/ 1 y)) (* 0.3333333333333333 (/ x y)))
0.1b
(* (- 1.0 x) (- (* 1.0 (/ 1 y)) (* 0.3333333333333333 (/ x y))))
0.2b
(* 0.3333333333333333 (/ x y))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
31×associate-*r/
22×add-sqr-sqrt
16×associate-*r*
15×*-un-lft-identity
13×add-cube-cbrt
12×frac-times
11×flip3-- flip--
10×add-exp-log times-frac add-cbrt-cube
8×associate-*l* un-div-inv frac-sub sub-div
7×pow1
5×add-log-exp
3×sub-neg prod-exp cbrt-unprod unswap-sqr
2×distribute-rgt-in distribute-lft-in pow-prod-down associate-*l/ *-commutative
1×cbrt-undiv diff-log div-exp div-inv distribute-lft-out-- difference-of-squares
Counts
3 → 92
Calls
3 calls:
5.0ms
(- (* 1.0 (/ 1 y)) (* 0.3333333333333333 (/ x y)))
27.0ms
(* (- 1.0 x) (- (* 1.0 (/ 1 y)) (* 0.3333333333333333 (/ x y))))
7.0ms
(* 0.3333333333333333 (/ x y))

series128.0ms

Counts
3 → 9
Calls
3 calls:
60.0ms
(- (* 1.0 (/ 1 y)) (* 0.3333333333333333 (/ x y)))
48.0ms
(* (- 1.0 x) (- (* 1.0 (/ 1 y)) (* 0.3333333333333333 (/ x y))))
21.0ms
(* 0.3333333333333333 (/ x y))

simplify95.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
0455779
12351715
25001715

prune175.0ms

Filtered
101 candidates to 66 candidates (65.3%)
Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes64.0ms

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
0105
1105

end0.0ms

sample402.0ms

Algorithm
intervals
Results
246.0ms10602×body80valid