Details

Time bar (total: 5.6s)

sample14.0ms

Algorithm
intervals
Results
6.0ms347×body80valid

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
045
165
295
done95

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.2b

Counts
2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (* x 3.0) x)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
1×associate-*l* *-commutative add-log-exp
Counts
1 → 18
Calls
1 calls:
6.0ms
(* (* x 3.0) x)

series4.0ms

Counts
1 → 3
Calls
1 calls:
3.0ms
(* (* x 3.0) x)

simplify1.4s

Counts
21 → 21
Iterations

Useful iterations: 3 (251.0ms)

IterNodesCost
037157
192154
2416130
31355122
42971122
done5001122

prune30.0ms

Filtered
12 candidates to 21 candidates (-75.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New16521
Fresh000
Picked011
Done000
Total16622

Merged error: 0.1b

Counts
22 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 3.0) x)
0.4b
(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
17.2b
(sqrt (* (* x 3.0) x))
17.2b
(sqrt (* (* x 3.0) x))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
148×pow1
80×pow-prod-down
66×sqrt-pow1
17×pow-prod-up
14×pow1/2
11×add-exp-log add-sqr-sqrt pow-sqr add-cbrt-cube
9×add-cube-cbrt *-un-lft-identity
7×associate-*r*
6×sqrt-prod
5×associate-*l*
4×swap-sqr prod-exp cbrt-unprod add-log-exp
2×*-commutative
1×pow2 pow-plus sqrt-unprod rem-square-sqrt unswap-sqr
Counts
4 → 108
Calls
4 calls:
5.0ms
(* (* x 3.0) x)
12.0ms
(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
4.0ms
(sqrt (* (* x 3.0) x))
4.0ms
(sqrt (* (* x 3.0) x))

series19.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* (* x 3.0) x)
8.0ms
(* (sqrt (* (* x 3.0) x)) (sqrt (* (* x 3.0) x)))
4.0ms
(sqrt (* (* x 3.0) x))
4.0ms
(sqrt (* (* x 3.0) x))

simplify1.2s

Counts
120 → 120
Iterations

Useful iterations: done (1.2s)

IterNodesCost
0821103
1177775
2766678
33105627
done5000617

prune138.0ms

Filtered
58 candidates to 120 candidates (-106.9%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1155120
Fresh044
Picked011
Done011
Total11511126

Merged error: 0.0b

Counts
126 → 11

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (sqrt (sqrt (* 3.0 (* x x)))) (sqrt (sqrt (* 3.0 (* x x)))))
17.2b
(sqrt (* (* x 3.0) x))
17.2b
(sqrt (* 3.0 (* x x)))
17.2b
(sqrt (* 3.0 (* x x)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
157×pow1
149×sqrt-pow1
82×pow-prod-down
29×sqrt-prod
24×add-sqr-sqrt
23×pow1/2
21×pow-prod-up
13×pow-sqr
12×add-cube-cbrt *-un-lft-identity
9×swap-sqr
7×associate-*r* associate-*l*
6×add-exp-log add-cbrt-cube
4×add-log-exp unswap-sqr
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 124
Calls
4 calls:
18.0ms
(* (sqrt (sqrt (* 3.0 (* x x)))) (sqrt (sqrt (* 3.0 (* x x)))))
4.0ms
(sqrt (* (* x 3.0) x))
5.0ms
(sqrt (* 3.0 (* x x)))
5.0ms
(sqrt (* 3.0 (* x x)))

series16.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* (sqrt (sqrt (* 3.0 (* x x)))) (sqrt (sqrt (* 3.0 (* x x)))))
4.0ms
(sqrt (* (* x 3.0) x))
4.0ms
(sqrt (* 3.0 (* x x)))
4.0ms
(sqrt (* 3.0 (* x x)))

simplify1.3s

Counts
136 → 136
Iterations

Useful iterations: 4 (497.0ms)

IterNodesCost
0881612
1148950
2482852
31241798
43649761
done5001761

prune186.0ms

Filtered
65 candidates to 136 candidates (-109.2%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New1360136
Fresh088
Picked011
Done022
Total13611147

Merged error: 0.0b

Counts
147 → 11

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (pow (sqrt (sqrt (* (* x 3.0) x))) 3) (sqrt (sqrt (* (* x 3.0) x))))
0.5b
(pow (sqrt (sqrt (* (* x 3.0) x))) 3)
17.2b
(sqrt (* (* x 3.0) x))
17.2b
(sqrt (* (* x 3.0) x))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
37×sqrt-prod
25×pow1
20×associate-*l*
18×unpow-prod-down cube-prod
16×add-cube-cbrt *-un-lft-identity
14×sqrt-pow1
12×unswap-sqr
10×add-exp-log
9×pow-prod-down
7×pow-pow associate-*r* add-cbrt-cube
4×pow1/2 add-log-exp sqr-pow
3×pow-unpow prod-exp
2×cube-mult pow-to-exp unpow3 pow-exp
1×pow-plus *-commutative pow-prod-up sqrt-pow2 cbrt-unprod rem-cube-cbrt
Counts
4 → 115
Calls
4 calls:
18.0ms
(* (pow (sqrt (sqrt (* (* x 3.0) x))) 3) (sqrt (sqrt (* (* x 3.0) x))))
7.0ms
(pow (sqrt (sqrt (* (* x 3.0) x))) 3)
4.0ms
(sqrt (* (* x 3.0) x))
5.0ms
(sqrt (* (* x 3.0) x))

series28.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* (pow (sqrt (sqrt (* (* x 3.0) x))) 3) (sqrt (sqrt (* (* x 3.0) x))))
12.0ms
(pow (sqrt (sqrt (* (* x 3.0) x))) 3)
4.0ms
(sqrt (* (* x 3.0) x))
4.0ms
(sqrt (* (* x 3.0) x))

simplify492.0ms

Counts
127 → 127
Iterations

Useful iterations: done (488.0ms)

IterNodesCost
01332079
13481610
213871385
done50001288

prune192.0ms

Filtered
67 candidates to 127 candidates (-89.6%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1261127
Fresh527
Picked101
Done033
Total1326138

Merged error: 0b

Counts
138 → 6

regimes74.0ms

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
045
165
done65

end0.0ms

sample360.0ms

Algorithm
intervals
Results
181.0ms10706×body80valid

Profiling

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