Details

Time bar (total: 22.7s)

sample23.0ms

Algorithm
intervals
Results
9.0ms335×body80valid

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
165
done65

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.6b

localize5.0ms

Local error

Found 1 expressions with local error:

9.4b
(/ x (* y y))

rewrite12.0ms

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:
11.0ms
(/ x (* y y))

series31.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(/ x (* y y))

simplify3.7s

Counts
24 → 24
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
043185
191182
2230152
3526152
4907152
52395152
done5001152

prune57.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ (/ x y) y)

rewrite25.0ms

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:
21.0ms
(/ (/ x y) y)

series26.0ms

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

simplify5.0s

Counts
73 → 73
Iterations

Useful iterations: done (5.0s)

IterNodesCost
0140862
1303813
2622757
31460745
43796724
done5000721

prune161.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
25×times-frac
23×add-exp-log
17×*-un-lft-identity
15×add-cube-cbrt
13×associate-*r* associate-*l* add-cbrt-cube
8×div-exp prod-exp
6×unswap-sqr
4×cbrt-undiv cbrt-unprod
3×pow1
2×rec-exp 1-exp div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative add-log-exp
Counts
1 → 56
Calls
1 calls:
27.0ms
(* (/ 1 y) (/ x y))

series21.0ms

Counts
1 → 3
Calls
1 calls:
21.0ms
(* (/ 1 y) (/ x y))

simplify5.4s

Counts
59 → 59
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
0110633
1296517
2904423
32404407
done5000407

prune122.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite31.0ms

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:
22.0ms
(* (cbrt x) (cbrt x))
2.0ms
(cbrt x)
2.0ms
(cbrt x)
2.0ms
(cbrt x)

series1.2s

Counts
4 → 12
Calls
4 calls:
330.0ms
(* (cbrt x) (cbrt x))
323.0ms
(cbrt x)
293.0ms
(cbrt x)
241.0ms
(cbrt x)

simplify5.3s

Counts
85 → 85
Iterations

Useful iterations: done (5.3s)

IterNodesCost
061524
1115417
2319397
31092379
44427374
done5001364

prune313.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes53.0ms

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

sample1.2s

Algorithm
intervals
Results
329.0ms10644×body80valid