Details

Time bar (total: 5.4s)

sample21.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify11.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0911
11511
22211
32511
42611
done2611

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

9.2b
(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
12×times-frac
10×add-sqr-sqrt add-cube-cbrt
4×associate-/r* distribute-lft-out
3×add-exp-log add-cbrt-cube associate-/l*
2×associate-/r/
1×pow1 cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv add-log-exp
Counts
1 → 33
Calls
1 calls:
11.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

series14.0ms

Counts
1 → 3
Calls
1 calls:
14.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify563.0ms

Counts
36 → 36
Iterations

Useful iterations: 3 (177.0ms)

IterNodesCost
089584
1214568
2632522
31999518
done5000518

prune61.0ms

Filtered
27 candidates to 36 candidates (-33.3%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New34236
Fresh000
Picked011
Done000
Total34337

Merged error: 0.0b

Counts
37 → 3

localize11.0ms

Local error

Found 2 expressions with local error:

0.7b
(/ 1 (+ 1.0 (/ (* x y) 2.0)))
8.5b
(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity
27×add-sqr-sqrt
26×times-frac
20×add-cube-cbrt
18×associate-*r*
15×add-exp-log
9×add-cbrt-cube
7×distribute-lft-out
5×pow1
4×div-exp prod-exp associate-/r* associate-/r/
3×associate-*l* associate-/l* unswap-sqr
2×cbrt-undiv rec-exp flip3-+ 1-exp cbrt-unprod flip-+ div-inv add-log-exp
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
2 → 78
Calls
2 calls:
7.0ms
(/ 1 (+ 1.0 (/ (* x y) 2.0)))
12.0ms
(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

series24.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(/ 1 (+ 1.0 (/ (* x y) 2.0)))
13.0ms
(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

simplify1.0s

Counts
84 → 84
Iterations

Useful iterations: 3 (470.0ms)

IterNodesCost
01401279
13621156
21216987
34077973
done5000973

prune91.0ms

Filtered
50 candidates to 84 candidates (-68.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New84084
Fresh011
Picked011
Done011
Total84387

Merged error: 0.0b

Counts
87 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.5b
(cbrt y)
3.0b
(/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y))
6.5b
(/ (* (cbrt y) (cbrt y)) (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
100×times-frac
91×*-un-lft-identity
53×add-sqr-sqrt add-cube-cbrt
45×cbrt-prod
34×associate-/r*
19×distribute-lft-out
18×add-exp-log
11×add-cbrt-cube
7×cbrt-undiv div-exp
5×associate-/l*
4×pow1 div-inv add-log-exp
2×frac-2neg pow1/3 prod-exp clear-num cbrt-unprod associate-/l/
1×flip3-+ associate-/r/ flip-+
Counts
4 → 146
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
9.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y))
17.0ms
(/ (* (cbrt y) (cbrt y)) (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y)))

series97.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(cbrt y)
28.0ms
(cbrt y)
28.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y))
16.0ms
(/ (* (cbrt y) (cbrt y)) (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y)))

simplify560.0ms

Counts
158 → 158
Iterations

Useful iterations: done (555.0ms)

IterNodesCost
02432933
16092820
221962580
done50012517

prune194.0ms

Filtered
112 candidates to 158 candidates (-41.1%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1571158
Fresh000
Picked011
Done022
Total1574161

Merged error: 0b

Counts
161 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt y))
1.0b
(/ (+ 1.0 (/ (* x y) 2.0)) (cbrt (cbrt y)))
3.8b
(/ (cbrt y) (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt (cbrt y))))
4.9b
(* (* (cbrt y) (* (cbrt (cbrt y)) (cbrt (cbrt y)))) (/ (cbrt y) (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt (cbrt y)))))

rewrite153.0ms

Algorithm
rewrite-expression-head
Rules
984×times-frac
765×cbrt-prod
734×*-un-lft-identity
480×add-sqr-sqrt add-cube-cbrt
245×associate-*r*
127×distribute-lft-out
49×associate-/r*
47×add-exp-log
22×add-cbrt-cube
18×prod-exp cbrt-unprod
16×div-inv
13×pow1 cbrt-undiv div-exp
10×associate-/l*
6×pow-prod-down
4×add-log-exp
2×frac-2neg clear-num associate-/r/ associate-/l/
1×flip3-+ pow1/3 associate-*r/ associate-*l* *-commutative flip-+
Counts
4 → 654
Calls
4 calls:
2.0ms
(cbrt (cbrt y))
10.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) (cbrt (cbrt y)))
18.0ms
(/ (cbrt y) (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt (cbrt y))))
62.0ms
(* (* (cbrt y) (* (cbrt (cbrt y)) (cbrt (cbrt y)))) (/ (cbrt y) (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt (cbrt y)))))

series172.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(cbrt (cbrt y))
36.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) (cbrt (cbrt y)))
83.0ms
(/ (cbrt y) (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt (cbrt y))))
17.0ms
(* (* (cbrt y) (* (cbrt (cbrt y)) (cbrt (cbrt y)))) (/ (cbrt y) (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt (cbrt y)))))

simplify607.0ms

Counts
666 → 666
Iterations

Useful iterations: done (572.0ms)

IterNodesCost
075618569
1231417633
done500017374

prune969.0ms

Filtered
417 candidates to 666 candidates (-59.7%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New6660666
Fresh000
Picked011
Done033
Total6664670

Merged error: 0b

Counts
670 → 4

regimes124.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01113
11613
done1613

end0.0ms

sample542.0ms

Algorithm
intervals
Results
300.0ms7999×body80valid
0.0ms1×body640valid

Profiling

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