Details

Time bar (total: 1.9s)

analyze114.0ms

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
12.5%87.4%0.1%5
31.2%68.7%0.1%6
46.8%53.1%0.1%7
60.9%39%0.1%8
67.9%31.2%0.9%9
74.5%22.2%3.2%10
77.9%17.2%5%11
81.1%11.8%7.1%12
82.7%9%8.3%13
84.3%6.1%9.7%14

sample17.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
0.0ms8×body80invalid

simplify92.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (90.0ms)

IterNodesCost
0510811

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: 0.1b

Counts
2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (+ (/ x y) 1.0) (+ x 1.0))
0.2b
(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
58×*-un-lft-identity
33×times-frac
27×add-sqr-sqrt
22×add-cube-cbrt associate-*r*
18×distribute-lft-out
9×add-exp-log add-cbrt-cube
4×pow1 associate-/r* associate-/r/ associate-/l*
3×flip3-+ associate-*l* flip-+
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 81
Calls
2 calls:
10.0ms
(/ (+ (/ x y) 1.0) (+ x 1.0))
15.0ms
(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

series13.0ms

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

simplify64.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
049531112
149531112

prune123.0ms

Filtered
55 candidates to 87 candidates (-58.2%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New80787
Fresh011
Picked011
Done000
Total80989

Merged error: 0.0b

Counts
89 → 9

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (+ (/ x y) 1.0))
9.9b
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt
4×pow1 times-frac associate-*r/ associate-*r* associate-/r*
3×flip3-+ associate-*l* flip-+ distribute-lft-out
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 50
Calls
2 calls:
9.0ms
(* x (+ (/ x y) 1.0))
11.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series11.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(* x (+ (/ x y) 1.0))
7.0ms
(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify46.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
04968591
14968591

prune75.0ms

Filtered
36 candidates to 56 candidates (-55.6%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New55156
Fresh167
Picked101
Done101
Total58765

Merged error: 0.0b

Counts
65 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
0.1b
(/ (+ x 1.0) (+ (/ x y) 1.0))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
155×*-un-lft-identity
146×times-frac
71×add-sqr-sqrt add-cube-cbrt
42×distribute-lft-out
26×associate-/r*
11×associate-/r/
9×add-exp-log add-cbrt-cube
7×associate-/l*
6×flip3-+ flip-+ div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
Counts
2 → 146
Calls
2 calls:
12.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
10.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

series15.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
8.0ms
(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify69.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
049982646
149982646

prune177.0ms

Filtered
98 candidates to 152 candidates (-55.1%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1511152
Fresh156
Picked011
Done000
Total1527159

Merged error: 0b

Counts
159 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ x y) (- (/ x y) 1.0))
0.2b
(* x (/ (+ (pow (/ x y) 3) (pow 1.0 3)) (* (+ x 1.0) (+ (* 1.0 1.0) (* (/ x y) (- (/ x y) 1.0))))))
0.3b
(pow (/ x y) 3)
16.4b
(/ (+ (pow (/ x y) 3) (pow 1.0 3)) (* (+ x 1.0) (+ (* 1.0 1.0) (* (/ x y) (- (/ x y) 1.0)))))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
64×*-un-lft-identity
47×times-frac
44×add-sqr-sqrt
32×add-cube-cbrt
27×associate-*r*
26×add-exp-log add-cbrt-cube
25×unpow-prod-down cube-prod
16×associate-*l* associate-/r/
15×distribute-lft-out
13×flip3-+ flip-+
10×frac-times
9×pow1 associate-/l*
7×associate-*r/ prod-exp cbrt-unprod
6×cbrt-undiv div-exp
5×associate-*l/ div-inv
4×add-log-exp
3×pow-unpow sum-cubes unswap-sqr
2×sub-neg flip3-- pow-prod-down pow-exp *-commutative flip-- associate-/l/ rem-cube-cbrt difference-of-squares
1×cube-div distribute-rgt-in cube-mult pow-to-exp pow-pow frac-2neg distribute-lft-in unpow3 clear-num associate-/r* distribute-lft-out-- sqr-pow
Counts
4 → 171
Calls
4 calls:
12.0ms
(* (/ x y) (- (/ x y) 1.0))
32.0ms
(* x (/ (+ (pow (/ x y) 3) (pow 1.0 3)) (* (+ x 1.0) (+ (* 1.0 1.0) (* (/ x y) (- (/ x y) 1.0))))))
6.0ms
(pow (/ x y) 3)
29.0ms
(/ (+ (pow (/ x y) 3) (pow 1.0 3)) (* (+ x 1.0) (+ (* 1.0 1.0) (* (/ x y) (- (/ x y) 1.0)))))

series48.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* (/ x y) (- (/ x y) 1.0))
17.0ms
(* x (/ (+ (pow (/ x y) 3) (pow 1.0 3)) (* (+ x 1.0) (+ (* 1.0 1.0) (* (/ x y) (- (/ x y) 1.0))))))
8.0ms
(pow (/ x y) 3)
15.0ms
(/ (+ (pow (/ x y) 3) (pow 1.0 3)) (* (+ x 1.0) (+ (* 1.0 1.0) (* (/ x y) (- (/ x y) 1.0)))))

simplify72.0ms

Algorithm
egg-herbie
Counts
183 → 183
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
049943324
149943324

prune277.0ms

Filtered
114 candidates to 183 candidates (-60.5%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1830183
Fresh055
Picked011
Done011
Total1837190

Merged error: 0b

Counts
190 → 7

regimes99.0ms

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
01011
11011

end0.0ms

sample376.0ms

Algorithm
intervals
Results
249.0ms8000×body80valid
7.0ms224×body80invalid

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