Details

Time bar (total: 13.1s)

sample15.0ms

Algorithm
intervals
Results
6.0ms333×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1107
2117
done117

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.3b

localize5.0ms

Local error

Found 1 expressions with local error:

10.1b
(/ x (* y y))

rewrite8.0ms

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:
8.0ms
(/ x (* y y))

series23.0ms

Counts
1 → 3
Calls
1 calls:
23.0ms
(/ x (* y y))

simplify2.9s

Counts
24 → 24
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
043185
191182
2230152
3526152
4907152
52395152
done5001152

prune43.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ (/ x y) y)

rewrite13.0ms

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:
10.0ms
(/ (/ x y) y)

series23.0ms

Counts
1 → 3
Calls
1 calls:
22.0ms
(/ (/ x y) y)

simplify3.6s

Counts
73 → 73
Iterations

Useful iterations: done (3.6s)

IterNodesCost
0140862
1303813
2622757
31460745
43796724
done5000721

prune120.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(* y (/ y x))
0.8b
(/ (/ 1 1) (* y (/ y x)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
67×add-exp-log
41×times-frac div-exp
29×add-sqr-sqrt
28×add-cbrt-cube
24×add-cube-cbrt *-un-lft-identity
16×prod-exp
15×1-exp
13×associate-*r* associate-/l*
12×cbrt-undiv
6×rec-exp cbrt-unprod
4×pow1 div-inv
3×associate-*l*
2×associate-*r/ add-log-exp unswap-sqr
1×frac-2neg pow-prod-down clear-num associate-/r* associate-/r/ *-commutative associate-/l/
Counts
2 → 98
Calls
2 calls:
13.0ms
(* y (/ y x))
19.0ms
(/ (/ 1 1) (* y (/ y x)))

series37.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(* y (/ y x))
19.0ms
(/ (/ 1 1) (* y (/ y x)))

simplify2.8s

Counts
104 → 104
Iterations

Useful iterations: 3 (866.0ms)

IterNodesCost
01721188
1367866
2783704
32291628
done5000628

prune129.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ x y)) (cbrt (/ x y)))
11.6b
(cbrt (/ x y))
11.6b
(cbrt (/ x y))
11.6b
(cbrt (/ x y))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×add-cube-cbrt *-un-lft-identity
16×swap-sqr associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 144
Calls
4 calls:
24.0ms
(* (cbrt (/ x y)) (cbrt (/ x y)))
2.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))

series269.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(* (cbrt (/ x y)) (cbrt (/ x y)))
63.0ms
(cbrt (/ x y))
64.0ms
(cbrt (/ x y))
59.0ms
(cbrt (/ x y))

simplify2.2s

Counts
156 → 156
Iterations

Useful iterations: done (2.1s)

IterNodesCost
01611876
12581747
26641675
313281601
431491520
done50001434

prune374.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes97.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
done67

end0.0ms

sample428.0ms

Algorithm
intervals
Results
200.0ms10684×body80valid