Details

Time bar (total: 4.8s)

sample20.0ms

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)))

rewrite8.0ms

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:
7.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

series13.0ms

Counts
1 → 3
Calls
1 calls:
13.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify498.0ms

Counts
36 → 36
Iterations

Useful iterations: 3 (182.0ms)

IterNodesCost
089584
1214565
2679519
32059517
done5001517

prune56.0ms

Filtered
26 candidates to 36 candidates (-38.5%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New34236
Fresh000
Picked011
Done000
Total34337

Merged error: 0.0b

Counts
37 → 3

localize9.0ms

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))))

series23.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(/ 1 (+ 1.0 (/ (* x y) 2.0)))
13.0ms
(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

simplify1000.0ms

Counts
84 → 84
Iterations

Useful iterations: 3 (532.0ms)

IterNodesCost
01401279
13621139
21190973
33678969
done5001969

prune90.0ms

Filtered
49 candidates to 84 candidates (-71.4%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New84084
Fresh011
Picked011
Done011
Total84387

Merged error: 0.0b

Counts
87 → 3

localize12.0ms

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)))

rewrite33.0ms

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))
14.0ms
(/ (* (cbrt y) (cbrt y)) (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y)))

series100.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt y)
24.0ms
(cbrt y)
33.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y))
19.0ms
(/ (* (cbrt y) (cbrt y)) (/ (+ 1.0 (/ (* x y) 2.0)) (cbrt y)))

simplify525.0ms

Counts
158 → 158
Iterations

Useful iterations: 2 (181.0ms)

IterNodesCost
02432933
16092804
221552515
done50002515

prune189.0ms

Filtered
111 candidates to 158 candidates (-42.3%)
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:

2.9b
(/ (cbrt y) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))))
9.6b
(cbrt (+ 1.0 (/ (* x y) 2.0)))
9.6b
(cbrt (+ 1.0 (/ (* x y) 2.0)))
9.6b
(cbrt (+ 1.0 (/ (* x y) 2.0)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod cbrt-div
17×*-un-lft-identity
11×add-sqr-sqrt add-cube-cbrt
9×add-exp-log flip3-+ flip-+
8×associate-/r/
6×times-frac associate-/l*
5×add-cbrt-cube
4×pow1 frac-times add-log-exp
3×pow1/3 distribute-lft-out
2×cbrt-undiv associate-*r/ div-exp associate-*l/
1×frac-2neg prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 77
Calls
4 calls:
15.0ms
(/ (cbrt y) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))))
4.0ms
(cbrt (+ 1.0 (/ (* x y) 2.0)))
5.0ms
(cbrt (+ 1.0 (/ (* x y) 2.0)))
4.0ms
(cbrt (+ 1.0 (/ (* x y) 2.0)))

series232.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(/ (cbrt y) (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))))
49.0ms
(cbrt (+ 1.0 (/ (* x y) 2.0)))
44.0ms
(cbrt (+ 1.0 (/ (* x y) 2.0)))
45.0ms
(cbrt (+ 1.0 (/ (* x y) 2.0)))

simplify1.0s

Counts
89 → 89
Iterations

Useful iterations: 3 (391.0ms)

IterNodesCost
01822193
14502114
212991977
347041889
done50001889

prune256.0ms

Filtered
73 candidates to 89 candidates (-21.9%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New89089
Fresh000
Picked011
Done033
Total89493

Merged error: 0b

Counts
93 → 4

regimes124.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
11111
done1111

end0.0ms

sample534.0ms

Algorithm
intervals
Results
286.0ms7999×body80valid
0.0ms1×body640valid

Profiling

Loading profile data...