Details

Time bar (total: 18.0s)

sample18.0ms

Algorithm
intervals
Results
8.0ms347×body80valid

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
165
done65

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.1b

localize3.0ms

Local error

Found 1 expressions with local error:

10.7b
(/ 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 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:
8.0ms
(/ x (* y y))

series25.0ms

Counts
1 → 3
Calls
1 calls:
25.0ms
(/ x (* y y))

simplify3.6s

Counts
26 → 26
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
045197
193194
2234164
3538164
4924164
52410164
done5000164

prune54.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ (/ x y) y)

rewrite16.0ms

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:
13.0ms
(/ (/ x y) y)

series27.0ms

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

simplify4.5s

Counts
75 → 75
Iterations

Useful iterations: done (4.5s)

IterNodesCost
0142874
1305825
2632769
31471757
43803736
done5001733

prune170.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite33.0ms

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×expm1-log1p-u frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative log1p-expm1-u add-log-exp
Counts
1 → 58
Calls
1 calls:
29.0ms
(* (/ 1 y) (/ x y))

series27.0ms

Counts
1 → 3
Calls
1 calls:
27.0ms
(* (/ 1 y) (/ x y))

simplify4.9s

Counts
61 → 61
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
0112649
1298529
2906435
32389419
done5000419

prune139.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

localize7.0ms

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)

rewrite45.0ms

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:
23.0ms
(/ (cbrt x) (/ y (cbrt x)))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series979.0ms

Counts
4 → 12
Calls
4 calls:
167.0ms
(/ (cbrt x) (/ y (cbrt x)))
297.0ms
(cbrt x)
255.0ms
(cbrt x)
260.0ms
(cbrt x)

simplify2.2s

Counts
228 → 228
Iterations

Useful iterations: done (2.2s)

IterNodesCost
03013354
16113087
222422825
done50002779

prune613.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0b

regimes126.0ms

Accuracy

0% (0.2b 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

sample540.0ms

Algorithm
intervals
Results
224.0ms10678×body80valid