Details

Time bar (total: 10.8s)

sample11.0ms

Algorithm
intervals
Results
5.0ms346×body80valid

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
045
165
done65

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize5.0ms

Local error

Found 1 expressions with local error:

0.5b
(/ 1.0 (* x x))

rewrite4.0ms

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:
3.0ms
(/ 1.0 (* x x))

series24.0ms

Counts
1 → 3
Calls
1 calls:
24.0ms
(/ 1.0 (* x x))

simplify3.2s

Counts
24 → 24
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
043185
194182
2275152
31009152
43808152
done5000152

prune37.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ (/ 1.0 x) x)

rewrite9.0ms

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)

series26.0ms

Counts
1 → 3
Calls
1 calls:
26.0ms
(/ (/ 1.0 x) x)

simplify2.1s

Counts
73 → 73
Iterations

Useful iterations: 3 (666.0ms)

IterNodesCost
0140862
1311813
2746757
32175745
done5000745

prune115.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite60.0ms

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:
42.0ms
(* (/ (cbrt 1.0) (cbrt x)) (/ (cbrt 1.0) (cbrt x)))
0.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt x)

series783.0ms

Counts
4 → 12
Calls
4 calls:
258.0ms
(* (/ (cbrt 1.0) (cbrt x)) (/ (cbrt 1.0) (cbrt x)))
182.0ms
(cbrt x)
171.0ms
(cbrt x)
171.0ms
(cbrt x)

simplify878.0ms

Counts
214 → 214
Iterations

Useful iterations: done (872.0ms)

IterNodesCost
02473545
18003252
226322944
done50002922

prune526.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt (pow (cbrt x) 3))
0.7b
(pow (cbrt x) 3)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
16×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×unpow-prod-down cube-prod
5×pow1 add-exp-log
4×pow1/3 add-cbrt-cube add-log-exp
3×pow-unpow
2×cube-mult pow-pow unpow3 sqr-pow
1×pow-to-exp pow-exp rem-cbrt-cube rem-cube-cbrt
Counts
4 → 79
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
2.0ms
(cbrt (pow (cbrt x) 3))
2.0ms
(pow (cbrt x) 3)

series752.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt x)
173.0ms
(cbrt x)
181.0ms
(cbrt (pow (cbrt x) 3))
220.0ms
(pow (cbrt x) 3)

simplify1.8s

Counts
91 → 91
Iterations

Useful iterations: 4 (497.0ms)

IterNodesCost
068655
1140385
2269345
3643345
42052337
done5000337

prune148.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes62.0ms

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

sample259.0ms

Algorithm
intervals
Results
149.0ms10663×body80valid