Details

Time bar (total: 1.4s)

analyze39.0ms

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
0%99.9%0.1%5
50%50%0.1%6
68.7%31.2%0.1%7
81.2%18.7%0.1%8
89%10.9%0.1%9
92.1%7.8%0.1%10
95.6%4.3%0.1%11
96.4%3.5%0.1%12
98%1.9%0.1%13
98.2%1.7%0.1%14

sample13.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01009
11009

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

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (- x y))
0.0b
(* 2.0 (/ y (- x y)))
9.1b
(* x (* 2.0 (/ y (- x y))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
24×add-cube-cbrt
22×associate-*r*
19×add-exp-log add-cbrt-cube
10×pow1
7×prod-exp cbrt-unprod distribute-lft-out-- difference-of-squares
6×associate-*l*
5×associate-/r*
4×pow-prod-down associate-/r/
3×cbrt-undiv associate-*r/ div-exp associate-/l* add-log-exp
2×flip3-- *-commutative flip-- div-inv unswap-sqr
1×frac-2neg clear-num
Counts
3 → 98
Calls
3 calls:
5.0ms
(/ y (- x y))
9.0ms
(* 2.0 (/ y (- x y)))
8.0ms
(* x (* 2.0 (/ y (- x y))))

series20.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/ y (- x y))
6.0ms
(* 2.0 (/ y (- x y)))
8.0ms
(* x (* 2.0 (/ y (- x y))))

simplify67.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
05092892

prune97.0ms

Filtered
72 candidates to 107 candidates (-48.6%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1025107
Fresh011
Picked011
Done000
Total1027109

Merged error: 0.0b

Counts
109 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- x y))
0.2b
(* (* 2.0 y) (/ 1 (- x y)))
9.1b
(* x (* (* 2.0 y) (/ 1 (- x y))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
61×add-exp-log
37×add-sqr-sqrt *-un-lft-identity
35×add-cbrt-cube
33×prod-exp
30×times-frac
23×add-cube-cbrt
22×associate-*r*
18×pow1
17×cbrt-unprod
10×div-exp
9×pow-prod-down
7×distribute-lft-out-- difference-of-squares
5×cbrt-undiv rec-exp 1-exp associate-/r*
4×associate-*r/ associate-*l* associate-/r/
3×associate-/l* add-log-exp
2×flip3-- un-div-inv *-commutative flip-- div-inv
1×pow-flip frac-2neg clear-num inv-pow
Counts
3 → 118
Calls
3 calls:
5.0ms
(/ 1 (- x y))
10.0ms
(* (* 2.0 y) (/ 1 (- x y)))
11.0ms
(* x (* (* 2.0 y) (/ 1 (- x y))))

series19.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ 1 (- x y))
6.0ms
(* (* 2.0 y) (/ 1 (- x y)))
8.0ms
(* x (* (* 2.0 y) (/ 1 (- x y))))

simplify42.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
050181019

prune111.0ms

Filtered
62 candidates to 127 candidates (-104.8%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1261127
Fresh055
Picked011
Done011
Total1268134

Merged error: 0.0b

Counts
134 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 2.0 (/ 1 (- (/ x y) 1)))
0.6b
(/ 1 (- (/ x y) 1))
9.1b
(* x (* 2.0 (/ 1 (- (/ x y) 1))))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
118×add-sqr-sqrt
83×times-frac
63×*-un-lft-identity
37×associate-*r*
34×add-cube-cbrt
31×add-exp-log
28×difference-of-squares
19×add-cbrt-cube
14×difference-of-sqr-1
13×prod-exp
11×pow1
10×associate-/r*
7×cbrt-unprod distribute-lft-out--
6×div-exp associate-*l*
4×associate-*r/ pow-prod-down associate-/r/
3×cbrt-undiv rec-exp 1-exp associate-/l* add-log-exp unswap-sqr
2×flip3-- un-div-inv *-commutative flip-- div-inv
1×pow-flip frac-2neg clear-num inv-pow
Counts
3 → 144
Calls
3 calls:
18.0ms
(* 2.0 (/ 1 (- (/ x y) 1)))
9.0ms
(/ 1 (- (/ x y) 1))
13.0ms
(* x (* 2.0 (/ 1 (- (/ x y) 1))))

series17.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(* 2.0 (/ 1 (- (/ x y) 1)))
5.0ms
(/ 1 (- (/ x y) 1))
7.0ms
(* x (* 2.0 (/ 1 (- (/ x y) 1))))

simplify81.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
059001524

prune130.0ms

Filtered
83 candidates to 153 candidates (-84.3%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1512153
Fresh325
Picked101
Done022
Total1556161

Merged error: 0b

Counts
161 → 6

localize6.0ms

Local error

Found 1 expressions with local error:

9.7b
(/ (* x 2.0) (- (/ x y) 1))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
16×times-frac
11×*-un-lft-identity
10×associate-/r*
8×difference-of-squares
6×add-exp-log add-cbrt-cube
4×difference-of-sqr-1
3×add-cube-cbrt
2×cbrt-undiv div-exp associate-/r/ distribute-lft-out--
1×pow1 flip3-- frac-2neg prod-exp clear-num flip-- cbrt-unprod div-inv associate-/l* add-log-exp
Counts
1 → 37
Calls
1 calls:
11.0ms
(/ (* x 2.0) (- (/ x y) 1))

series7.0ms

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

simplify39.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
04952437
14952437

prune30.0ms

Filtered
24 candidates to 40 candidates (-66.7%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New40040
Fresh033
Picked011
Done022
Total40646

Merged error: 0b

Counts
46 → 6

regimes177.0ms

Accuracy

90.1% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 7.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03193
13193

end0.0ms

analyze37.0ms

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
0%99.9%0.1%5
50%50%0.1%6
68.7%31.2%0.1%7
81.2%18.7%0.1%8
89%10.9%0.1%9
92.1%7.8%0.1%10
95.6%4.3%0.1%11
96.4%3.5%0.1%12
98%1.9%0.1%13
98.2%1.7%0.1%14

sample327.0ms

Algorithm
intervals
Results
214.0ms8000×body80valid

Profiling

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