Details

Time bar (total: 6.7s)

sample68.0ms

Algorithm
intervals
Results
20.0ms46×body1280valid
13.0ms46×body640valid
8.0ms148×body80valid
6.0ms34×body320valid
4.0ms94×body80nan
1.0ms10×body160valid

simplify653.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (3.0ms)

IterNodesCost
0811
11511
2249
3519
41079
52819
66579
719429
done50009

prune7.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 11.6b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (+ x y))
6.1b
(pow (/ x (+ x y)) x)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
24×times-frac
20×add-sqr-sqrt add-cube-cbrt
18×unpow-prod-down
7×add-exp-log distribute-lft-out
4×associate-/r* associate-/r/ add-cbrt-cube
3×pow1 pow-unpow associate-/l*
2×flip3-+ div-exp pow-exp flip-+ div-inv add-log-exp
1×cbrt-undiv pow-to-exp pow-pow frac-2neg clear-num sqr-pow
Counts
2 → 66
Calls
2 calls:
6.0ms
(/ x (+ x y))
14.0ms
(pow (/ x (+ x y)) x)

series26.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ x (+ x y))
21.0ms
(pow (/ x (+ x y)) x)

simplify917.0ms

Counts
72 → 72
Iterations

Useful iterations: 3 (440.0ms)

IterNodesCost
01751011
1459942
21563886
34924842
done5000842

prune103.0ms

Filtered
51 candidates to 72 candidates (-41.2%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New67572
Fresh000
Picked101
Done000
Total68573

Merged error: 2.0b

Counts
73 → 5

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.2b
(pow (/ (cbrt x) (cbrt (+ x y))) x)
1.9b
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
61×unpow-prod-down
51×cbrt-prod
48×*-un-lft-identity
43×times-frac
36×add-sqr-sqrt add-cube-cbrt
20×add-exp-log
14×cbrt-div
10×associate-/r/
7×flip3-+ pow-exp flip-+
6×pow1 pow-unpow distribute-lft-out
5×div-exp
4×frac-times prod-exp add-cbrt-cube add-log-exp
2×pow-to-exp pow-pow pow1/3 associate-*r/ associate-*l/ div-inv sqr-pow
Counts
4 → 116
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
12.0ms
(pow (/ (cbrt x) (cbrt (+ x y))) x)
17.0ms
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

series120.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(cbrt x)
24.0ms
(cbrt x)
33.0ms
(pow (/ (cbrt x) (cbrt (+ x y))) x)
38.0ms
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

simplify637.0ms

Counts
128 → 128
Iterations

Useful iterations: done (633.0ms)

IterNodesCost
03952771
19742620
230002327
done50012323

prune178.0ms

Filtered
90 candidates to 128 candidates (-42.2%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1271128
Fresh224
Picked011
Done000
Total1294133

Merged error: 0.9b

Counts
133 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (sqrt x) (sqrt (+ x y)))
0.1b
(/ (sqrt x) (sqrt (+ x y)))
1.0b
(pow (/ (sqrt x) (sqrt (+ x y))) x)
1.0b
(pow (/ (sqrt x) (sqrt (+ x y))) x)

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
194×sqrt-prod
172×*-un-lft-identity
168×times-frac
120×add-sqr-sqrt add-cube-cbrt
96×unpow-prod-down
26×distribute-lft-out
14×add-exp-log associate-/r*
12×associate-/l*
8×sqrt-div associate-/r/ add-cbrt-cube
6×pow1 pow-unpow
4×sqrt-undiv flip3-+ div-exp pow-exp flip-+ div-inv add-log-exp
2×cbrt-undiv pow-to-exp pow-pow frac-2neg clear-num sqrt-pow2 sqr-pow
Counts
4 → 268
Calls
4 calls:
8.0ms
(/ (sqrt x) (sqrt (+ x y)))
12.0ms
(/ (sqrt x) (sqrt (+ x y)))
12.0ms
(pow (/ (sqrt x) (sqrt (+ x y))) x)
12.0ms
(pow (/ (sqrt x) (sqrt (+ x y))) x)

series103.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(/ (sqrt x) (sqrt (+ x y)))
14.0ms
(/ (sqrt x) (sqrt (+ x y)))
40.0ms
(pow (/ (sqrt x) (sqrt (+ x y))) x)
35.0ms
(pow (/ (sqrt x) (sqrt (+ x y))) x)

simplify587.0ms

Counts
280 → 280
Iterations

Useful iterations: 2 (228.0ms)

IterNodesCost
02935454
17235006
226484782
done50014782

prune212.0ms

Filtered
144 candidates to 280 candidates (-94.4%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New2800280
Fresh022
Picked011
Done011
Total2804284

Merged error: 0.9b

Counts
284 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.9b
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)
10.2b
(log (exp (cbrt x)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log
13×unpow-prod-down
12×cbrt-div
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×cbrt-prod
8×associate-/r/
7×log-pow
6×pow1 exp-prod flip3-+ flip-+
5×pow-exp
4×frac-times div-exp prod-exp add-cbrt-cube add-log-exp
3×pow-unpow log-prod
2×pow1/3 associate-*r/ associate-*l/
1×pow-to-exp pow-pow times-frac rem-log-exp div-inv sqr-pow
Counts
4 → 71
Calls
4 calls:
1.0ms
(cbrt x)
2.0ms
(cbrt x)
20.0ms
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)
3.0ms
(log (exp (cbrt x)))

series114.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(cbrt x)
28.0ms
(cbrt x)
38.0ms
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)
24.0ms
(log (exp (cbrt x)))

simplify452.0ms

Counts
83 → 83
Iterations

Useful iterations: done (449.0ms)

IterNodesCost
02361431
15711308
217111181
done50001157

prune114.0ms

Filtered
62 candidates to 83 candidates (-33.9%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New83083
Fresh011
Picked011
Done022
Total83487

Merged error: 0.9b

Counts
87 → 4

regimes85.0ms

Accuracy

0% (5.5b remaining)

Error of 6.7b against oracle of 1.2b and baseline of 6.7b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01329
11529
done1529

end0.0ms

sample2.2s

Algorithm
intervals
Results
738.0ms1583×body1280valid
421.0ms1473×body640valid
261.0ms4833×body80valid
163.0ms816×body320valid
131.0ms3067×body80nan
51.0ms429×body160valid

Profiling

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