Details

Time bar (total: 2.4s)

analyze338.0ms

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
9.4%90.5%0.1%6
14%85.8%0.1%7
22.6%77.2%0.1%8
37.8%60.5%1.7%9
40%56%4%10
47.3%48.7%4%11
56.8%36.2%7%12
58.6%32.4%9%13
63.4%27.5%9%14

sample15.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
1.0ms26×body80invalid

simplify63.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1223
2423
3613
4863
5973
63883
729173
850013

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 13.6b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
12.8b
(/ (* x (- y z)) y)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×add-exp-log add-cbrt-cube
8×*-un-lft-identity
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 49
Calls
2 calls:
8.0ms
(* x (- y z))
6.0ms
(/ (* x (- y z)) y)

series15.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* x (- y z))
9.0ms
(/ (* x (- y z)) y)

simplify32.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0219218
11044189
25001189

prune66.0ms

Filtered
35 candidates to 55 candidates (-57.1%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New49655
Fresh000
Picked101
Done000
Total50656

Merged error: 0.0b

Counts
56 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- y z))
1.7b
(/ x (/ y (- y z)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
102×add-sqr-sqrt *-un-lft-identity
70×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
Counts
2 → 139
Calls
2 calls:
8.0ms
(/ y (- y z))
10.0ms
(/ x (/ y (- y z)))

series28.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(/ y (- y z))
16.0ms
(/ x (/ y (- y z)))

simplify55.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
04721043
122201007
250011004

prune116.0ms

Filtered
108 candidates to 145 candidates (-34.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1423145
Fresh415
Picked011
Done000
Total1465151

Merged error: 0b

Counts
151 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
19×associate-*r*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×associate-/l*
4×pow1
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative flip--
Counts
2 → 76
Calls
2 calls:
5.0ms
(/ (- y z) y)
9.0ms
(* x (/ (- y z) y))

series13.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(/ (- y z) y)
9.0ms
(* x (/ (- y z) y))

simplify36.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0264396
11187365
25001364

prune63.0ms

Filtered
57 candidates to 82 candidates (-43.9%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New82082
Fresh033
Picked011
Done011
Total82587

Merged error: 0b

Counts
87 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (/ (* x z) y))
5.1b
(/ (* x z) y)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
7×add-exp-log add-cbrt-cube
6×add-sqr-sqrt *-un-lft-identity
4×add-cube-cbrt add-log-exp
3×times-frac associate-/r*
2×pow1 cbrt-undiv div-exp
1×sub-neg flip3-- frac-2neg diff-log prod-exp clear-num flip-- cbrt-unprod div-inv associate-/l* distribute-lft-out-- difference-of-squares
Counts
2 → 35
Calls
2 calls:
6.0ms
(- x (/ (* x z) y))
4.0ms
(/ (* x z) y)

series11.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(- x (/ (* x z) y))
5.0ms
(/ (* x z) y)

simplify76.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0163174
1692158
23437158
35001158

prune28.0ms

Filtered
27 candidates to 41 candidates (-51.9%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New41041
Fresh022
Picked011
Done022
Total41546

Merged error: 0b

Counts
46 → 5

regimes173.0ms

Accuracy

17.9% (2.4b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 2.9b

bsearch425.0ms

Steps
ItersRangePoint
9
-9.889342592616853e-272
-1.3322978019258484e-277
-2.418129727506492e-272
10
-3.5898277645605325e-151
-1.538436154787476e-165
-8.346573474697102e-155

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0196
1196

end0.0ms

analyze331.0ms

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
9.4%90.5%0.1%6
14%85.8%0.1%7
22.6%77.2%0.1%8
37.8%60.5%1.7%9
40%56%4%10
47.3%48.7%4%11
56.8%36.2%7%12
58.6%32.4%9%13
63.4%27.5%9%14

sample424.0ms

Algorithm
intervals
Results
212.0ms8000×body80valid
21.0ms690×body80invalid

Profiling

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