Details

Time bar (total: 1.7s)

analyze103.0ms

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

sample15.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
0.0ms12×body80invalid

simplify72.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (70.0ms)

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: 0.3b

Counts
2 → 2

localize10.0ms

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))

rewrite20.0ms

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:
12.0ms
(* (- 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))

simplify22.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (15.0ms)

IterNodesCost
05197765

prune101.0ms

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))

rewrite31.0ms

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:
9.0ms
(/ (- 1 (/ x 3.0)) y)
17.0ms
(* (- 1.0 x) (/ (- 1 (/ x 3.0)) y))

series14.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ (- 1 (/ x 3.0)) y)
9.0ms
(* (- 1.0 x) (/ (- 1 (/ x 3.0)) y))

simplify45.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
053061410

prune138.0ms

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

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.3333333333333333 (/ x (/ y x))) (* (/ x y) 1.3333333333333333))
0.1b
(* 0.3333333333333333 (/ x (/ y x)))
0.2b
(/ x (/ y x))
0.3b
(* (/ x y) 1.3333333333333333)

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
154×times-frac
104×add-sqr-sqrt
90×add-cube-cbrt *-un-lft-identity
47×associate-*r*
23×add-exp-log add-cbrt-cube
16×associate-*l*
13×associate-/r*
10×div-inv
8×pow1
7×cbrt-undiv div-exp
6×add-log-exp
5×prod-exp cbrt-unprod unswap-sqr
3×associate-/l*
2×associate-*r/ pow-prod-down associate-*l/ associate-/r/ *-commutative
1×sub-neg flip3-- frac-2neg diff-log clear-num frac-sub flip--
Counts
4 → 180
Calls
4 calls:
8.0ms
(- (* 0.3333333333333333 (/ x (/ y x))) (* (/ x y) 1.3333333333333333))
13.0ms
(* 0.3333333333333333 (/ x (/ y x)))
7.0ms
(/ x (/ y x))
6.0ms
(* (/ x y) 1.3333333333333333)

series17.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(- (* 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)

simplify61.0ms

Algorithm
egg-herbie
Counts
192 → 192
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
050001742

prune195.0ms

Filtered
146 candidates to 192 candidates (-31.5%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1911192
Fresh134
Picked011
Done011
Total1926198

Merged error: 0b

Counts
198 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
64×add-exp-log
52×add-sqr-sqrt
45×*-un-lft-identity
37×times-frac
34×add-cbrt-cube
29×add-cube-cbrt
26×associate-*l*
24×prod-exp
20×div-exp
11×pow1 associate-*r*
10×cbrt-undiv cbrt-unprod
8×distribute-lft-out-- difference-of-squares
6×rec-exp 1-exp associate-/r* associate-/r/ associate-/l*
5×associate-*l/
4×flip3-- flip-- div-inv add-log-exp
3×pow-prod-down unswap-sqr
2×frac-times pow-flip frac-2neg clear-num *-commutative
1×associate-*r/ un-div-inv inv-pow
Counts
4 → 153
Calls
4 calls:
5.0ms
(/ 3.0 (- 3.0 x))
14.0ms
(* (- 1.0 x) (/ 1 (* (/ 3.0 (- 3.0 x)) y)))
10.0ms
(/ 1 (* (/ 3.0 (- 3.0 x)) y))
11.0ms
(* (/ 3.0 (- 3.0 x)) y)

series19.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(/ 3.0 (- 3.0 x))
7.0ms
(* (- 1.0 x) (/ 1 (* (/ 3.0 (- 3.0 x)) y)))
5.0ms
(/ 1 (* (/ 3.0 (- 3.0 x)) y))
5.0ms
(* (/ 3.0 (- 3.0 x)) y)

simplify36.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
053431623

prune171.0ms

Filtered
102 candidates to 165 candidates (-61.8%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1650165
Fresh033
Picked011
Done022
Total1656171

Merged error: 0b

Counts
171 → 6

regimes88.0ms

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 (1.0ms)

IterNodesCost
03011
13011

end0.0ms

sample378.0ms

Algorithm
intervals
Results
238.0ms8000×body80valid
10.0ms335×body80invalid

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