Details

Time bar (total: 12.6s)

sample15.0ms

Algorithm
intervals
Results
5.0ms264×body80valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0123
1163
2183
3183
done183

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (- x y) (- z y))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt *-un-lft-identity
25×times-frac
13×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
5×associate-/r* associate-/l*
3×add-exp-log add-cbrt-cube
2×flip3-- associate-/r/ flip-- associate-/l/
1×pow1 cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv add-log-exp
Counts
1 → 52
Calls
1 calls:
22.0ms
(/ (- x y) (- z y))

series54.0ms

Counts
1 → 3
Calls
1 calls:
54.0ms
(/ (- x y) (- z y))

simplify51.0ms

Counts
55 → 55
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0223354
1618340
22045340
35001340
done5001340

prune98.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z y) (- x y))
0.1b
(/ 1 (/ (- z y) (- x y)))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube
8×div-exp associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×pow-flip div-sub inv-pow
Counts
2 → 200
Calls
2 calls:
22.0ms
(/ (- z y) (- x y))
26.0ms
(/ 1 (/ (- z y) (- x y)))

series184.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(/ (- z y) (- x y))
129.0ms
(/ 1 (/ (- z y) (- x y)))

simplify64.0ms

Counts
206 → 206
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
05841790
126781621
250021454
done50021454

prune253.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ z (- x y))
0.0b
(- (/ z (- x y)) (/ y (- x y)))
0.0b
(/ y (- x y))
0.1b
(/ 1 (- (/ z (- x y)) (/ y (- x y))))

rewrite234.0ms

Algorithm
rewrite-expression-head
Rules
203×*-un-lft-identity
174×times-frac
153×add-sqr-sqrt
68×distribute-lft-out--
57×add-cube-cbrt
38×difference-of-squares
28×associate-/r* associate-/r/
15×distribute-rgt-out--
14×flip3-- flip--
13×div-inv
12×add-exp-log
10×add-cbrt-cube
9×associate-/l*
6×add-log-exp
5×pow1
4×div-exp
3×cbrt-undiv frac-2neg clear-num
2×frac-sub sub-div
1×sub-neg rec-exp pow-flip diff-log 1-exp inv-pow
Counts
4 → 198
Calls
4 calls:
11.0ms
(/ z (- x y))
81.0ms
(- (/ z (- x y)) (/ y (- x y)))
12.0ms
(/ y (- x y))
117.0ms
(/ 1 (- (/ z (- x y)) (/ y (- x y))))

series228.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(/ z (- x y))
66.0ms
(- (/ z (- x y)) (/ y (- x y)))
48.0ms
(/ y (- x y))
78.0ms
(/ 1 (- (/ z (- x y)) (/ y (- x y))))

simplify53.0ms

Counts
210 → 210
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
04831615
117951525
250011429
done50011429

prune349.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ (/ 1 (cbrt (- (/ z (- x y)) (/ y (- x y))))) (cbrt (- (/ z (- x y)) (/ y (- x y))))) (/ 1 (cbrt (- (/ z (- x y)) (/ y (- x y))))))
3.1b
(cbrt (- (/ z (- x y)) (/ y (- x y))))
3.1b
(cbrt (- (/ z (- x y)) (/ y (- x y))))
3.1b
(cbrt (- (/ z (- x y)) (/ y (- x y))))

rewrite3.0s

Algorithm
rewrite-expression-head
Rules
5535×times-frac
4730×*-un-lft-identity
3495×add-sqr-sqrt
2589×cbrt-prod
1680×distribute-lft-out--
1499×associate-*l*
1046×add-cube-cbrt
840×difference-of-squares
652×associate-/r/
420×distribute-rgt-out--
309×div-inv
306×flip3-- flip--
104×cbrt-div
71×associate-*r*
69×add-exp-log
60×unswap-sqr
34×div-exp
26×frac-sub sub-div
20×prod-exp
16×add-cbrt-cube
14×pow1
9×cbrt-undiv rec-exp 1-exp
6×pow-flip pow1/3 cbrt-unprod
5×pow-prod-up pow-div
4×inv-pow add-log-exp
1×frac-times associate-*r/ pow3 pow-prod-down associate-*l/ un-div-inv *-commutative
Counts
4 → 1765
Calls
4 calls:
2.2s
(* (/ (/ 1 (cbrt (- (/ z (- x y)) (/ y (- x y))))) (cbrt (- (/ z (- x y)) (/ y (- x y))))) (/ 1 (cbrt (- (/ z (- x y)) (/ y (- x y))))))
54.0ms
(cbrt (- (/ z (- x y)) (/ y (- x y))))
54.0ms
(cbrt (- (/ z (- x y)) (/ y (- x y))))
57.0ms
(cbrt (- (/ z (- x y)) (/ y (- x y))))

series665.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(* (/ (/ 1 (cbrt (- (/ z (- x y)) (/ y (- x y))))) (cbrt (- (/ z (- x y)) (/ y (- x y))))) (/ 1 (cbrt (- (/ z (- x y)) (/ y (- x y))))))
193.0ms
(cbrt (- (/ z (- x y)) (/ y (- x y))))
198.0ms
(cbrt (- (/ z (- x y)) (/ y (- x y))))
198.0ms
(cbrt (- (/ z (- x y)) (/ y (- x y))))

simplify338.0ms

Counts
1777 → 1777
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
0500144162
done500144162

prune6.5s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes71.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063
163
done63

end0.0ms

sample379.0ms

Algorithm
intervals
Results
154.0ms8334×body80valid