Details

Time bar (total: 19.8s)

sample17.0ms

Algorithm
intervals
Results
9.0ms345×body80valid

simplify11.0ms

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: 5.5b

localize5.0ms

Local error

Found 1 expressions with local error:

12.1b
(/ x (* y y))

rewrite17.0ms

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 expm1-log1p-u frac-2neg prod-exp clear-num associate-/r* cbrt-unprod log1p-expm1-u div-inv add-log-exp
Counts
1 → 23
Calls
1 calls:
16.0ms
(/ x (* y y))

series39.0ms

Counts
1 → 3
Calls
1 calls:
39.0ms
(/ x (* y y))

simplify4.3s

Counts
26 → 26
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
045197
193194
2234164
3538164
4924164
52410164
done5000164

prune96.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ (/ x y) y)

rewrite26.0ms

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 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
Counts
1 → 72
Calls
1 calls:
20.0ms
(/ (/ x y) y)

series31.0ms

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

simplify5.0s

Counts
75 → 75
Iterations

Useful iterations: done (5.0s)

IterNodesCost
0142874
1305825
2632769
31471757
43803736
done5001733

prune555.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ x y)) (cbrt (/ x y)))
8.3b
(cbrt (/ x y))
8.3b
(cbrt (/ x y))
8.3b
(cbrt (/ x y))

rewrite72.0ms

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×expm1-log1p-u add-cbrt-cube log1p-expm1-u 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 → 152
Calls
4 calls:
51.0ms
(* (cbrt (/ x y)) (cbrt (/ x y)))
4.0ms
(cbrt (/ x y))
5.0ms
(cbrt (/ x y))
5.0ms
(cbrt (/ x y))

series409.0ms

Counts
4 → 12
Calls
4 calls:
136.0ms
(* (cbrt (/ x y)) (cbrt (/ x y)))
91.0ms
(cbrt (/ x y))
86.0ms
(cbrt (/ x y))
95.0ms
(cbrt (/ x y))

simplify3.8s

Counts
164 → 164
Iterations

Useful iterations: done (3.8s)

IterNodesCost
01651926
12651797
26721725
313631647
432341562
done50011476

prune650.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (cbrt x) (/ y (cbrt x)))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
258×times-frac
144×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
141×cbrt-prod
22×associate-/r*
9×add-exp-log
8×div-inv
6×add-cbrt-cube associate-/l*
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv pow1/3 div-exp
1×frac-2neg clear-num associate-/r/
Counts
4 → 216
Calls
4 calls:
26.0ms
(/ (cbrt x) (/ y (cbrt x)))
2.0ms
(cbrt x)
2.0ms
(cbrt x)
2.0ms
(cbrt x)

series1.1s

Counts
4 → 12
Calls
4 calls:
170.0ms
(/ (cbrt x) (/ y (cbrt x)))
338.0ms
(cbrt x)
299.0ms
(cbrt x)
314.0ms
(cbrt x)

simplify2.0s

Counts
228 → 228
Iterations

Useful iterations: done (2.0s)

IterNodesCost
03013354
16113087
222422825
done50002779

prune689.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes129.0ms

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

sample622.0ms

Algorithm
intervals
Results
403.0ms10714×body80valid