Details

Time bar (total: 1.7s)

analyze122.0ms

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

sample18.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
0.0ms13×body80invalid

simplify64.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
0493111
1493111

prune8.0ms

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: 0.5b

Counts
2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (- 1.0 x) (/ (- 3.0 x) (* 3.0 y)))
0.4b
(/ (- 3.0 x) (* 3.0 y))

rewrite19.0ms

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:
11.0ms
(* (- 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:
6.0ms
(* (- 1.0 x) (/ (- 3.0 x) (* 3.0 y)))
5.0ms
(/ (- 3.0 x) (* 3.0 y))

simplify20.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (14.0ms)

IterNodesCost
05197765

prune96.0ms

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

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New63669
Fresh101
Picked101
Done000
Total65671

Merged error: 0b

Counts
71 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
91×add-sqr-sqrt
63×times-frac
58×*-un-lft-identity
29×difference-of-squares
28×add-cube-cbrt associate-*r*
9×add-exp-log add-cbrt-cube
8×associate-/l* distribute-lft-out--
5×associate-*l*
4×pow1
3×flip3-- associate-/r* flip--
2×cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 103
Calls
2 calls:
8.0ms
(/ (- 1 (/ x 3.0)) y)
17.0ms
(* (- 1.0 x) (/ (- 1 (/ x 3.0)) y))

series12.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ (- 1 (/ x 3.0)) y)
7.0ms
(* (- 1.0 x) (/ (- 1 (/ x 3.0)) y))

simplify41.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
053061410

prune140.0ms

Filtered
78 candidates to 109 candidates (-39.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1090109
Fresh055
Picked011
Done000
Total1096115

Merged error: 0b

Counts
115 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (- 1.0 x) (* (- 3.0 x) (/ (/ 1 y) 3.0)))
0.2b
(/ (/ 1 y) 3.0)
0.3b
(* (- 3.0 x) (/ (/ 1 y) 3.0))

rewrite45.0ms

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:
14.0ms
(* (- 1.0 x) (* (- 3.0 x) (/ (/ 1 y) 3.0)))
6.0ms
(/ (/ 1 y) 3.0)
16.0ms
(* (- 3.0 x) (/ (/ 1 y) 3.0))

series17.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(* (- 1.0 x) (* (- 3.0 x) (/ (/ 1 y) 3.0)))
2.0ms
(/ (/ 1 y) 3.0)
8.0ms
(* (- 3.0 x) (/ (/ 1 y) 3.0))

simplify99.0ms

Algorithm
egg-herbie
Counts
198 → 198
Iterations

Useful iterations: 0 (79.0ms)

IterNodesCost
049612300
149612300

prune259.0ms

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

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1971198
Fresh134
Picked011
Done101
Total1995204

Merged error: 0b

Counts
204 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ 1.0 y) (- (* 0.3333333333333333 (* (/ x y) x)) (* (/ x y) 1.3333333333333333)))
0.2b
(* 0.3333333333333333 (* (/ x y) x))
0.2b
(* (/ x y) x)
0.2b
(* (/ x y) 1.3333333333333333)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
29×associate-*l*
23×add-exp-log *-un-lft-identity add-cbrt-cube
21×add-cube-cbrt
20×times-frac
13×pow1
9×prod-exp cbrt-unprod add-log-exp
7×associate-*r* associate-*l/
5×pow-prod-down
4×frac-add unswap-sqr
3×cbrt-undiv associate-*r/ div-exp *-commutative
2×sum-log div-inv
1×+-commutative associate-+r- sub-neg associate-+r+ flip3-- flip3-+ diff-log frac-sub flip-- flip-+ distribute-lft-out sub-div
Counts
4 → 104
Calls
4 calls:
12.0ms
(+ (/ 1.0 y) (- (* 0.3333333333333333 (* (/ x y) x)) (* (/ x y) 1.3333333333333333)))
6.0ms
(* 0.3333333333333333 (* (/ x y) x))
6.0ms
(* (/ x y) x)
6.0ms
(* (/ x y) 1.3333333333333333)

series20.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(+ (/ 1.0 y) (- (* 0.3333333333333333 (* (/ x y) x)) (* (/ x y) 1.3333333333333333)))
4.0ms
(* 0.3333333333333333 (* (/ x y) x))
3.0ms
(* (/ x y) x)
3.0ms
(* (/ x y) 1.3333333333333333)

simplify50.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
049741067
149741067

prune112.0ms

Filtered
84 candidates to 116 candidates (-38.1%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1160116
Fresh033
Picked011
Done011
Total1165121

Merged error: 0b

Counts
121 → 5

regimes84.0ms

Accuracy

0% (0.2b 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 (1.0ms)

IterNodesCost
04917
14917

end0.0ms

sample387.0ms

Algorithm
intervals
Results
242.0ms8000×body80valid
11.0ms325×body80invalid

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