Details

Time bar (total: 9.8s)

sample13.0ms

Algorithm
intervals
Results
6.0ms325×body80valid

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
045
165
done65

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.3b

Counts
2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.3b
(/ 1.0 (* x x))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
6×add-exp-log add-cbrt-cube
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/l*
2×cbrt-undiv div-exp
1×pow1 frac-2neg prod-exp clear-num associate-/r* cbrt-unprod div-inv add-log-exp
Counts
1 → 21
Calls
1 calls:
5.0ms
(/ 1.0 (* x x))

series3.0ms

Counts
1 → 3
Calls
1 calls:
3.0ms
(/ 1.0 (* x x))

simplify3.7s

Counts
24 → 24
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
043185
194182
2275152
31009152
43817152
done5000152

prune39.0ms

Filtered
16 candidates to 24 candidates (-50.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New21324
Fresh000
Picked011
Done000
Total21425

Merged error: 0.0b

Counts
25 → 4

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ (/ 1.0 x) x)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
43×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
13×associate-/l*
6×add-exp-log add-cbrt-cube
5×div-inv
3×cbrt-undiv div-exp associate-/r*
1×pow1 frac-2neg clear-num associate-/l/ add-log-exp
Counts
1 → 70
Calls
1 calls:
6.0ms
(/ (/ 1.0 x) x)

series3.0ms

Counts
1 → 3
Calls
1 calls:
3.0ms
(/ (/ 1.0 x) x)

simplify2.4s

Counts
73 → 73
Iterations

Useful iterations: 3 (748.0ms)

IterNodesCost
0140862
1311813
2746757
32169745
done5000745

prune83.0ms

Filtered
48 candidates to 73 candidates (-52.1%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New70373
Fresh112
Picked011
Done011
Total71677

Merged error: 0.0b

Counts
77 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
6.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series100.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* (cbrt x) (cbrt x))
23.0ms
(cbrt x)
24.0ms
(cbrt x)
26.0ms
(cbrt x)

simplify1.3s

Counts
85 → 85
Iterations

Useful iterations: 4 (610.0ms)

IterNodesCost
076590
1147521
2329462
3892382
42132374
done5000374

prune85.0ms

Filtered
56 candidates to 85 candidates (-51.8%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New85085
Fresh033
Picked011
Done022
Total85691

Merged error: 0.0b

Counts
91 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(* (/ (cbrt 1.0) (cbrt x)) (/ (cbrt 1.0) (cbrt x)))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
197×add-sqr-sqrt
193×cbrt-prod
184×times-frac
107×add-cube-cbrt *-un-lft-identity
40×swap-sqr associate-*r* associate-*l*
25×unswap-sqr
16×add-exp-log
11×pow1
8×add-cbrt-cube
4×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv add-log-exp
3×pow1/3
1×pow2 frac-times pow-plus associate-*r/ pow-prod-down associate-*l/ pow-sqr *-commutative pow-prod-up
Counts
4 → 202
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
37.0ms
(* (/ (cbrt 1.0) (cbrt x)) (/ (cbrt 1.0) (cbrt x)))

series114.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(cbrt x)
23.0ms
(cbrt x)
23.0ms
(cbrt x)
42.0ms
(* (/ (cbrt 1.0) (cbrt x)) (/ (cbrt 1.0) (cbrt x)))

simplify920.0ms

Counts
214 → 214
Iterations

Useful iterations: 2 (395.0ms)

IterNodesCost
02663603
18463306
224833061
done50003061

prune410.0ms

Filtered
152 candidates to 214 candidates (-40.8%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New2122214
Fresh022
Picked101
Done033
Total2137220

Merged error: 0b

Counts
220 → 7

regimes120.0ms

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
done45

end0.0ms

sample372.0ms

Algorithm
intervals
Results
196.0ms10706×body80valid

Profiling

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