Details

Time bar (total: 17.2s)

sample24.0ms

Algorithm
intervals
Results
9.0ms351×body80valid

simplify6.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
197
2117
3127
done127

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.8b

localize6.0ms

Local error

Found 1 expressions with local error:

12.1b
(/ (* y y) z)

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-/r*
2×cbrt-undiv div-exp
1×pow1 frac-2neg prod-exp clear-num cbrt-unprod div-inv associate-/l* add-log-exp
Counts
1 → 21
Calls
1 calls:
11.0ms
(/ (* y y) z)

series26.0ms

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

simplify4.8s

Counts
24 → 24
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
045186
197179
2284149
3906149
42110149
done5000149

prune51.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.2b
(* y (/ y z))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*r*
10×times-frac
9×add-cube-cbrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
3×pow1 associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv associate-*r/ div-exp pow-prod-down *-commutative div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
26.0ms
(* y (/ y z))

series21.0ms

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

simplify2.5s

Counts
35 → 35
Iterations

Useful iterations: 4 (1.1s)

IterNodesCost
064277
1153260
2403222
3887222
41765218
done5001218

prune87.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ z y) y)
0.9b
(/ 1 (/ (/ z y) y))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
468×times-frac
228×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
46×associate-/r*
28×add-exp-log
22×div-inv
18×div-exp
16×add-cbrt-cube associate-/l*
9×cbrt-undiv
3×pow1 rec-exp 1-exp
2×frac-2neg clear-num add-log-exp
1×pow-flip associate-/r/ associate-/l/ inv-pow
Counts
2 → 270
Calls
2 calls:
16.0ms
(/ (/ z y) y)
25.0ms
(/ 1 (/ (/ z y) y))

series59.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ (/ z y) y)
34.0ms
(/ 1 (/ (/ z y) y))

simplify3.1s

Counts
276 → 276
Iterations

Useful iterations: done (3.1s)

IterNodesCost
04114439
18883638
216403054
341552954
done50012909

prune479.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.9b
(/ 1 (* (* (cbrt (/ z y)) (cbrt (/ z y))) (/ (cbrt (/ z y)) y)))
8.4b
(cbrt (/ z y))
8.4b
(cbrt (/ z y))
8.4b
(cbrt (/ z y))

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
48×add-exp-log
39×cbrt-prod
30×times-frac
27×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×prod-exp
16×div-exp add-cbrt-cube
11×cbrt-div
10×pow1
7×cbrt-undiv associate-/r/
6×cbrt-unprod
5×frac-times rec-exp 1-exp associate-*l/
4×div-inv add-log-exp
3×pow-flip pow1/3 associate-*r/ pow-prod-down associate-/l*
1×frac-2neg clear-num associate-/r* inv-pow
Counts
4 → 114
Calls
4 calls:
107.0ms
(/ 1 (* (* (cbrt (/ z y)) (cbrt (/ z y))) (/ (cbrt (/ z y)) y)))
2.0ms
(cbrt (/ z y))
2.0ms
(cbrt (/ z y))
3.0ms
(cbrt (/ z y))

series287.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(/ 1 (* (* (cbrt (/ z y)) (cbrt (/ z y))) (/ (cbrt (/ z y)) y)))
89.0ms
(cbrt (/ z y))
77.0ms
(cbrt (/ z y))
85.0ms
(cbrt (/ z y))

simplify4.0s

Counts
126 → 126
Iterations

Useful iterations: done (4.0s)

IterNodesCost
01641733
13451590
210311202
334271005
done5001976

prune338.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes109.0ms

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
187
done87

end0.0ms

sample922.0ms

Algorithm
intervals
Results
427.0ms10676×body80valid