Details

Time bar (total: 10.9s)

sample31.0ms

Algorithm
intervals
Results
10.0ms342×body80valid

simplify3.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1159
2289
3559
4849
51099
61269
71439
81949
92969
104169
114649
125299
135919
146069
156429
167319
179599
1811939
1915019
2016889
2116929
done16929

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.4b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (* (- y x) 6.0) z))
0.0b
(* (- y x) 6.0)
0.5b
(* (* (- y x) 6.0) z)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
8×*-un-lft-identity
6×add-cube-cbrt associate-*r* associate-*l* associate-*l/
5×add-log-exp
4×pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip--
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 53
Calls
3 calls:
3.0ms
(+ x (* (* (- y x) 6.0) z))
7.0ms
(* (- y x) 6.0)
8.0ms
(* (* (- y x) 6.0) z)

series24.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(+ x (* (* (- y x) 6.0) z))
4.0ms
(* (- y x) 6.0)
9.0ms
(* (* (- y x) 6.0) z)

simplify2.7s

Counts
62 → 62
Iterations

Useful iterations: 2 (131.0ms)

IterNodesCost
098644
1245597
2911521
34361521
done5001521

prune88.0ms

Filtered
40 candidates to 62 candidates (-55.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New56662
Fresh000
Picked011
Done000
Total56763

Merged error: 0.0b

Counts
63 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (* 6.0 z)))
0.3b
(* (- y x) (* 6.0 z))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
5×add-sqr-sqrt *-un-lft-identity associate-*l*
4×add-log-exp
3×add-cube-cbrt pow-prod-down prod-exp cbrt-unprod
2×associate-*l/
1×+-commutative flip3-- flip3-+ associate-*r* sum-log *-commutative flip-- flip-+ distribute-lft-out-- difference-of-squares
Counts
2 → 33
Calls
2 calls:
4.0ms
(+ x (* (- y x) (* 6.0 z)))
8.0ms
(* (- y x) (* 6.0 z))

series19.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(+ x (* (- y x) (* 6.0 z)))
9.0ms
(* (- y x) (* 6.0 z))

simplify1.9s

Counts
39 → 39
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
075468
1206432
2661376
32891376
done5000376

prune52.0ms

Filtered
24 candidates to 39 candidates (-62.5%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New38139
Fresh235
Picked011
Done011
Total40646

Merged error: 0b

Counts
46 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (- (* y y) (* x x)) 6.0)
2.8b
(- (* y y) (* x x))
8.0b
(* (* (- (* y y) (* x x)) 6.0) z)
19.5b
(/ (* (* (- (* y y) (* x x)) 6.0) z) (+ y x))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
13×*-un-lft-identity
11×pow1 add-sqr-sqrt
10×associate-*l/
9×add-cube-cbrt
7×prod-exp cbrt-unprod
6×associate-*r* add-log-exp
5×associate-*l*
4×flip3-- times-frac pow-prod-down associate-/r* flip--
3×cbrt-undiv div-exp
2×associate-/r/ *-commutative associate-/l/ distribute-lft-out difference-of-squares
1×sub-neg frac-2neg flip3-+ diff-log clear-num flip-+ div-inv associate-/l* unswap-sqr
Counts
4 → 83
Calls
4 calls:
7.0ms
(* (- (* y y) (* x x)) 6.0)
4.0ms
(- (* y y) (* x x))
11.0ms
(* (* (- (* y y) (* x x)) 6.0) z)
12.0ms
(/ (* (* (- (* y y) (* x x)) 6.0) z) (+ y x))

series44.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* (- (* y y) (* x x)) 6.0)
6.0ms
(- (* y y) (* x x))
14.0ms
(* (* (- (* y y) (* x x)) 6.0) z)
16.0ms
(/ (* (* (- (* y y) (* x x)) 6.0) z) (+ y x))

simplify847.0ms

Counts
95 → 95
Iterations

Useful iterations: 2 (236.0ms)

IterNodesCost
01401470
13911407
219231133
done50001133

prune108.0ms

Filtered
67 candidates to 95 candidates (-41.8%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New95095
Fresh033
Picked011
Done022
Total956101

Merged error: 0b

Counts
101 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- y x) 6.0)
0.2b
(pow (* (* (- y x) 6.0) z) 3)
0.5b
(* (* (- y x) 6.0) z)
35.5b
(cbrt (pow (* (* (- y x) 6.0) z) 3))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1 add-exp-log add-cbrt-cube
14×associate-*l/
13×add-sqr-sqrt
11×*-un-lft-identity
9×add-cube-cbrt
8×cbrt-prod
7×pow-prod-down prod-exp cbrt-unprod
6×associate-*r* associate-*l*
4×cube-div flip3-- flip-- add-log-exp
3×pow-unpow pow-pow pow-exp rem-cube-cbrt
2×cube-mult unpow-prod-down cbrt-div unpow3 cube-prod *-commutative sqr-pow
1×pow-to-exp pow1/3 rem-cbrt-cube distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 88
Calls
4 calls:
7.0ms
(* (- y x) 6.0)
10.0ms
(pow (* (* (- y x) 6.0) z) 3)
8.0ms
(* (* (- y x) 6.0) z)
4.0ms
(cbrt (pow (* (* (- y x) 6.0) z) 3))

series44.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* (- y x) 6.0)
18.0ms
(pow (* (* (- y x) 6.0) z) 3)
8.0ms
(* (* (- y x) 6.0) z)
9.0ms
(cbrt (pow (* (* (- y x) 6.0) z) 3))

simplify814.0ms

Counts
100 → 100
Iterations

Useful iterations: 2 (178.0ms)

IterNodesCost
01451167
1348982
21482902
done5000902

prune119.0ms

Filtered
64 candidates to 100 candidates (-56.3%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1000100
Fresh022
Picked011
Done033
Total1006106

Merged error: 0b

Counts
106 → 6

regimes214.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1119
done119

end0.0ms

sample717.0ms

Algorithm
intervals
Results
323.0ms10274×body80valid

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