Details

Time bar (total: 6.4s)

sample28.0ms

Algorithm
intervals
Results
12.0ms338×body80valid

simplify1.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0911
12711
27411
315811
424511
531111
638011
753211
8111311
9402911
done500011

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 16.5b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
16.0b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
12×prod-exp cbrt-unprod
7×pow1
6×cbrt-undiv div-exp
5×*-un-lft-identity
4×add-sqr-sqrt associate-*r/ associate-*r*
3×add-cube-cbrt pow-prod-down
2×flip3-+ associate-/r/ flip-+ add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in times-frac associate-*l* clear-num associate-/r* *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 51
Calls
2 calls:
8.0ms
(* (* z z) (+ z 1.0))
11.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series27.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(* (* z z) (+ z 1.0))
21.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify611.0ms

Counts
57 → 57
Iterations

Useful iterations: done (609.0ms)

IterNodesCost
0112858
1375811
22124642
done5000626

prune84.0ms

Filtered
32 candidates to 57 candidates (-78.1%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New50757
Fresh000
Picked101
Done000
Total51758

Merged error: 7.9b

Counts
58 → 7

localize10.0ms

Local error

Found 2 expressions with local error:

5.6b
(* (/ x (* z z)) (/ y (+ z 1.0)))
8.6b
(/ x (* z z))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
24×add-sqr-sqrt
22×times-frac
20×*-un-lft-identity
18×associate-*r*
14×add-cube-cbrt
9×cbrt-undiv div-exp prod-exp cbrt-unprod
7×associate-*l*
4×pow1 unswap-sqr
3×div-inv distribute-lft-out associate-/l*
2×associate-/r/ add-log-exp
1×frac-times frac-2neg flip3-+ associate-*r/ pow-prod-down associate-*l/ clear-num associate-/r* *-commutative flip-+
Counts
2 → 74
Calls
2 calls:
14.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
5.0ms
(/ x (* z z))

series19.0ms

Counts
2 → 6
Calls
2 calls:
14.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
5.0ms
(/ x (* z z))

simplify536.0ms

Counts
80 → 80
Iterations

Useful iterations: done (534.0ms)

IterNodesCost
01501125
14681075
22118925
done5000895

prune124.0ms

Filtered
52 candidates to 80 candidates (-53.8%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New72880
Fresh336
Picked101
Done000
Total761187

Merged error: 0.0b

Counts
87 → 11

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.9b
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
57×add-cbrt-cube
32×prod-exp cbrt-unprod
22×cbrt-undiv div-exp
9×pow1 cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×associate-*l*
5×frac-times associate-*r/
4×add-log-exp
3×times-frac pow1/3 pow-prod-down associate-*l/
1×associate-*r* *-commutative div-inv
Counts
4 → 88
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
17.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

series93.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(cbrt x)
27.0ms
(cbrt x)
23.0ms
(cbrt x)
18.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

simplify709.0ms

Counts
100 → 100
Iterations

Useful iterations: done (701.0ms)

IterNodesCost
01701848
15511768
225081185
done50001133

prune143.0ms

Filtered
63 candidates to 100 candidates (-58.7%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New973100
Fresh01010
Picked101
Done000
Total9813111

Merged error: 0.0b

Counts
111 → 13

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
8.2b
(cbrt (/ (* (cbrt x) (cbrt x)) z))
8.2b
(cbrt (/ (* (cbrt x) (cbrt x)) z))
8.2b
(cbrt (/ (* (cbrt x) (cbrt x)) z))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
3×cbrt-div div-inv
Counts
4 → 59
Calls
4 calls:
1.0ms
(cbrt x)
5.0ms
(cbrt (/ (* (cbrt x) (cbrt x)) z))
5.0ms
(cbrt (/ (* (cbrt x) (cbrt x)) z))
5.0ms
(cbrt (/ (* (cbrt x) (cbrt x)) z))

series143.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(cbrt x)
39.0ms
(cbrt (/ (* (cbrt x) (cbrt x)) z))
42.0ms
(cbrt (/ (* (cbrt x) (cbrt x)) z))
39.0ms
(cbrt (/ (* (cbrt x) (cbrt x)) z))

simplify585.0ms

Counts
71 → 71
Iterations

Useful iterations: 4 (226.0ms)

IterNodesCost
094884
1181837
2387752
3889697
42238675
done5000675

prune80.0ms

Filtered
58 candidates to 71 candidates (-22.4%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New71071
Fresh01212
Picked011
Done000
Total711384

Merged error: 0.0b

Counts
84 → 13

regimes441.0ms

Accuracy

0% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 1.6b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01537
11937
done1937

end0.0ms

sample1.0s

Algorithm
intervals
Results
604.0ms10679×body80valid

Profiling

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