Details

Time bar (total: 1.7s)

analyze96.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
25%74.9%0.1%5
37.5%62.4%0.1%6
50%46.8%3.2%7
56.2%37.5%6.3%8
62.4%25.8%11.8%9
65.6%20.3%14.1%10
68.7%13.5%17.9%11
70.2%10.5%19.2%12
71.8%6.9%21.3%13
72.6%5.4%22%14

sample16.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
0.0ms10×body80invalid

simplify49.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
0489911
1489911

prune9.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.3b

Counts
2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (- 1.0 x) (/ (- 3.0 x) (* 3.0 y)))
0.3b
(/ (- 3.0 x) (* 3.0 y))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-exp-log add-cbrt-cube
15×*-un-lft-identity
10×times-frac
9×associate-*r*
7×add-cube-cbrt
5×associate-*l* prod-exp cbrt-unprod associate-/l*
4×pow1 cbrt-undiv div-exp distribute-lft-out-- difference-of-squares
3×flip3-- flip--
2×frac-times associate-*l/ div-inv associate-/l/ add-log-exp
1×frac-2neg div-sub associate-*r/ pow-prod-down clear-num associate-/r* *-commutative unswap-sqr
Counts
2 → 63
Calls
2 calls:
15.0ms
(* (- 1.0 x) (/ (- 3.0 x) (* 3.0 y)))
6.0ms
(/ (- 3.0 x) (* 3.0 y))

series12.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* (- 1.0 x) (/ (- 3.0 x) (* 3.0 y)))
5.0ms
(/ (- 3.0 x) (* 3.0 y))

simplify61.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
04964765
14964765

prune112.0ms

Filtered
49 candidates to 69 candidates (-40.8%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New64569
Fresh011
Picked101
Done000
Total65671

Merged error: 0b

Counts
71 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.3333333333333333 (* x (/ x y))) (* (/ x y) 1.3333333333333333))
0.2b
(* x (/ x y))
0.2b
(* 0.3333333333333333 (* x (/ x y)))
0.3b
(* (/ x y) 1.3333333333333333)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
23×add-exp-log add-cbrt-cube
21×add-cube-cbrt *-un-lft-identity
20×times-frac
19×associate-*l*
17×associate-*r*
13×pow1
9×prod-exp cbrt-unprod
7×associate-*r/
6×add-log-exp
5×pow-prod-down
4×unswap-sqr
3×cbrt-undiv div-exp associate-*l/ *-commutative
2×div-inv
1×sub-neg flip3-- diff-log frac-sub flip-- sub-div
Counts
4 → 98
Calls
4 calls:
7.0ms
(- (* 0.3333333333333333 (* x (/ x y))) (* (/ x y) 1.3333333333333333))
6.0ms
(* x (/ x y))
6.0ms
(* 0.3333333333333333 (* x (/ x y)))
6.0ms
(* (/ x y) 1.3333333333333333)

series20.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(- (* 0.3333333333333333 (* x (/ x y))) (* (/ x y) 1.3333333333333333))
6.0ms
(* x (/ x y))
4.0ms
(* 0.3333333333333333 (* x (/ x y)))
3.0ms
(* (/ x y) 1.3333333333333333)

simplify54.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
05016839

prune136.0ms

Filtered
78 candidates to 110 candidates (-41.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1091110
Fresh145
Picked011
Done000
Total1106116

Merged error: 0b

Counts
116 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (- 1.0 x) (* (- 3.0 x) (/ (/ 1 y) 3.0)))
0.3b
(* (- 3.0 x) (/ (/ 1 y) 3.0))
0.3b
(/ (/ 1 y) 3.0)

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
146×times-frac
98×add-sqr-sqrt
87×*-un-lft-identity
82×add-cube-cbrt
49×add-exp-log
44×associate-*r*
31×add-cbrt-cube
18×frac-times div-exp
16×prod-exp
14×flip3-- flip--
13×associate-/l*
10×pow1 associate-*l* associate-*l/ cbrt-unprod
9×cbrt-undiv associate-*r/ div-inv
4×pow-prod-down unswap-sqr
3×rec-exp 1-exp associate-/r* add-log-exp
2×*-commutative distribute-lft-out-- difference-of-squares
1×frac-2neg clear-num associate-/l/
Counts
3 → 189
Calls
3 calls:
16.0ms
(* (- 1.0 x) (* (- 3.0 x) (/ (/ 1 y) 3.0)))
20.0ms
(* (- 3.0 x) (/ (/ 1 y) 3.0))
6.0ms
(/ (/ 1 y) 3.0)

series14.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(* (- 1.0 x) (* (- 3.0 x) (/ (/ 1 y) 3.0)))
5.0ms
(* (- 3.0 x) (/ (/ 1 y) 3.0))
2.0ms
(/ (/ 1 y) 3.0)

simplify55.0ms

Algorithm
egg-herbie
Counts
198 → 198
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
050202300

prune288.0ms

Filtered
136 candidates to 198 candidates (-45.6%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1971198
Fresh134
Picked011
Done011
Total1986204

Merged error: 0b

Counts
204 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (/ (- 3.0 x) y) (- 1.0 x))
0.3b
(/ (* (/ (- 3.0 x) y) (- 1.0 x)) 3.0)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
22×*-un-lft-identity
19×times-frac associate-*l*
16×add-exp-log add-cbrt-cube
14×add-cube-cbrt
5×cbrt-undiv div-exp associate-*r* associate-/l/
4×pow1 frac-times flip3-- associate-*r/ prod-exp flip-- cbrt-unprod distribute-lft-out-- difference-of-squares
3×associate-/r*
2×sub-neg associate-*l/ div-inv add-log-exp unswap-sqr
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative associate-/l*
Counts
2 → 74
Calls
2 calls:
11.0ms
(* (/ (- 3.0 x) y) (- 1.0 x))
11.0ms
(/ (* (/ (- 3.0 x) y) (- 1.0 x)) 3.0)

series13.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(* (/ (- 3.0 x) y) (- 1.0 x))
7.0ms
(/ (* (/ (- 3.0 x) y) (- 1.0 x)) 3.0)

simplify30.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
05244933

prune99.0ms

Filtered
59 candidates to 80 candidates (-35.6%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New80080
Fresh033
Picked011
Done022
Total80686

Merged error: 0b

Counts
86 → 6

regimes92.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
09217
19217

end0.0ms

sample410.0ms

Algorithm
intervals
Results
257.0ms8000×body80valid
10.0ms326×body80invalid

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