Details

Time bar (total: 13.2s)

sample24.0ms

Algorithm
intervals
Results
9.0ms266×body80valid

simplify12.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1127
2167
3187
done187

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite37.0ms

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:
34.0ms
(/ (- x y) (- z y))

series70.0ms

Counts
1 → 3
Calls
1 calls:
70.0ms
(/ (- x y) (- z y))

simplify2.8s

Counts
55 → 55
Iterations

Useful iterations: 4 (1.4s)

IterNodesCost
094708
1224681
2544653
31303653
43344651
done5002651

prune108.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (- z y))
0.2b
(* (- x y) (/ 1 (- z y)))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
39×*-un-lft-identity
32×times-frac
22×add-cube-cbrt
21×associate-*r*
15×add-exp-log
9×add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×pow1 associate-*l* associate-/r*
4×flip3-- div-exp prod-exp associate-/r/ flip--
3×associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp 1-exp associate-*l/ cbrt-unprod div-inv add-log-exp
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
2 → 91
Calls
2 calls:
20.0ms
(/ 1 (- z y))
78.0ms
(* (- x y) (/ 1 (- z y)))

series125.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ 1 (- z y))
79.0ms
(* (- x y) (/ 1 (- z y)))

simplify2.1s

Counts
97 → 97
Iterations

Useful iterations: 2 (137.0ms)

IterNodesCost
01281033
1289831
2808751
32554751
done5002751

prune149.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z y) (- x y))
0.4b
(/ 1 (/ (- z y) (- x y)))

rewrite70.0ms

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:
24.0ms
(/ (- z y) (- x y))
32.0ms
(/ 1 (/ (- z y) (- x y)))

series192.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ (- z y) (- x y))
140.0ms
(/ 1 (/ (- z y) (- x y)))

simplify3.1s

Counts
206 → 206
Iterations

Useful iterations: 3 (1.4s)

IterNodesCost
02493526
15693018
212952749
333382673
done50002673

prune268.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

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))
0.4b
(/ 1 (- (/ z (- x y)) (/ y (- x y))))

rewrite319.0ms

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:
23.0ms
(/ z (- x y))
123.0ms
(- (/ z (- x y)) (/ y (- x y)))
19.0ms
(/ y (- x y))
129.0ms
(/ 1 (- (/ z (- x y)) (/ y (- x y))))

series290.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(/ z (- x y))
109.0ms
(- (/ z (- x y)) (/ y (- x y)))
48.0ms
(/ y (- x y))
98.0ms
(/ 1 (- (/ z (- x y)) (/ y (- x y))))

simplify2.3s

Counts
210 → 210
Iterations

Useful iterations: done (2.2s)

IterNodesCost
02573301
14812940
29972852
323842655
done50012640

prune540.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes89.0ms

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
067
done67

end0.0ms

sample656.0ms

Algorithm
intervals
Results
304.0ms8325×body80valid