Details

Time bar (total: 2.4s)

analyze374.0ms

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
0%99.9%0.1%6
14%85.8%0.1%7
22.6%77.2%0.1%8
23.8%74.5%1.7%9
40%56%4%10
47.3%48.7%4%11
48.4%45.8%5.8%12
58.6%32.4%9%13
63.4%27.5%9%14

sample16.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
1.0ms30×body80invalid

simplify51.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0163
1223
2333
3363
4423
5463
6543
72823
820723
950023

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 15.0b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ y z))
14.3b
(/ (* x (+ y z)) z)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
add-exp-log add-cbrt-cube
add-sqr-sqrt *-un-lft-identity
add-cube-cbrt
pow1 associate-*r/ associate-*r*
times-frac associate-*l* associate-/r*
cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ associate-/l/ add-log-exp
distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 46
Calls
2 calls:
5.0ms
(* x (+ y z))
6.0ms
(/ (* x (+ y z)) z)

series18.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(* x (+ y z))
11.0ms
(/ (* x (+ y z)) z)

simplify37.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0226206
11099177
25001177

prune65.0ms

Filtered
35 candidates to 52 candidates (-48.6%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New46652
Fresh000
Picked101
Done000
Total47653

Merged error: 0b

Counts
53 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ y z))
2.9b
(/ x (/ z (+ y z)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
94×*-un-lft-identity
62×add-sqr-sqrt add-cube-cbrt
22×associate-/r*
16×distribute-lft-out
11×associate-/r/
add-exp-log add-cbrt-cube
div-inv associate-/l*
flip3-+ flip-+
cbrt-undiv div-exp
pow1 frac-2neg clear-num add-log-exp
Counts
2 → 123
Calls
2 calls:
5.0ms
(/ z (+ y z))
8.0ms
(/ x (/ z (+ y z)))

series15.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ z (+ y z))
10.0ms
(/ x (/ z (+ y z)))

simplify58.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0413869
11890835
25001832

prune110.0ms

Filtered
91 candidates to 129 candidates (-41.8%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1281129
Fresh145
Picked101
Done000
Total1305135

Merged error: 0b

Counts
135 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ y z) z)
2.9b
(* x (/ (+ y z) z))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
25×add-sqr-sqrt times-frac
20×add-cube-cbrt
16×associate-*r*
add-exp-log add-cbrt-cube
distribute-lft-out
pow1 associate-/l*
associate-*l* associate-/r*
cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
frac-2neg flip3-+ associate-*r/ pow-prod-down clear-num *-commutative flip-+
Counts
2 → 68
Calls
2 calls:
5.0ms
(/ (+ y z) z)
8.0ms
(* x (/ (+ y z) z))

series15.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(/ (+ y z) z)
11.0ms
(* x (/ (+ y z) z))

simplify87.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0233344
11013313
23948313
35001313

prune60.0ms

Filtered
48 candidates to 74 candidates (-54.2%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New74074
Fresh044
Picked011
Done000
Total74579

Merged error: 0b

Counts
79 → 5

localize5.0ms

Local error

Found 1 expressions with local error:

6.9b
(/ (* x y) z)

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
add-exp-log add-cbrt-cube
add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r*
cbrt-undiv div-exp
pow1 frac-2neg prod-exp clear-num cbrt-unprod div-inv associate-/l* add-log-exp
Counts
1 → 21
Calls
1 calls:
5.0ms
(/ (* x y) z)

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(/ (* x y) z)

simplify59.0ms

Algorithm
egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
011185
151470
2247170
3500170

prune18.0ms

Filtered
16 candidates to 24 candidates (-50.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New24024
Fresh033
Picked011
Done011
Total24529

Merged error: 0b

Counts
29 → 5

regimes172.0ms

Accuracy

27.1% (2.4b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 3.3b

bsearch319.0ms

Steps
ItersRangePoint
9
1.8364104024277822e-96
4.9208126500261235e-89
6.8283667429511e-91
6
-1.2840553284688396e-270
-3.0053216682185055e-271
-6.138318967552782e-271

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0226
1226

end0.0ms

analyze371.0ms

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
0%99.9%0.1%6
14%85.8%0.1%7
22.6%77.2%0.1%8
23.8%74.5%1.7%9
40%56%4%10
47.3%48.7%4%11
48.4%45.8%5.8%12
58.6%32.4%9%13
63.4%27.5%9%14

sample432.0ms

Algorithm
intervals
Results
223.0ms8000×body80valid
19.0ms720×body80invalid

Profiling

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