Details

Time bar (total: 14.4s)

sample26.0ms

Algorithm
intervals
Results
10.0ms271×body80valid

simplify12.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1127
2167
3187
done187

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite40.0ms

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:
36.0ms
(/ (- x y) (- z y))

series82.0ms

Counts
1 → 3
Calls
1 calls:
81.0ms
(/ (- x y) (- z y))

simplify2.3s

Counts
55 → 55
Iterations

Useful iterations: 4 (1.2s)

IterNodesCost
094708
1224681
2544653
31303653
43344651
done5002651

prune146.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite146.0ms

Algorithm
rewrite-expression-head
Rules
67×*-un-lft-identity
57×add-sqr-sqrt
48×times-frac
25×add-cube-cbrt
20×distribute-lft-out--
14×difference-of-squares
10×associate-/r*
8×associate-/r/
7×add-exp-log add-cbrt-cube
6×associate-/l*
5×flip3-- flip-- add-log-exp
4×div-inv
3×pow1 distribute-rgt-out--
2×cbrt-undiv frac-2neg div-exp clear-num
1×sub-neg diff-log frac-sub sub-div
Counts
3 → 103
Calls
3 calls:
18.0ms
(/ x (- z y))
103.0ms
(- (/ x (- z y)) (/ y (- z y)))
17.0ms
(/ y (- z y))

series238.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(/ x (- z y))
114.0ms
(- (/ x (- z y)) (/ y (- z y)))
67.0ms
(/ y (- z y))

simplify2.2s

Counts
112 → 112
Iterations

Useful iterations: 4 (1.1s)

IterNodesCost
01491266
12991203
26401159
313131159
434951153
done50001153

prune288.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite86.0ms

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:
27.0ms
(/ (- z y) (- x y))
35.0ms
(/ 1 (/ (- z y) (- x y)))

series234.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(/ (- z y) (- x y))
173.0ms
(/ 1 (/ (- z y) (- x y)))

simplify2.5s

Counts
206 → 206
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
02493526
15693018
212952749
333382673
done50002673

prune333.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- x y) (- z y))
0.2b
(* (sqrt (/ (- x y) (- z y))) (sqrt (/ (- x y) (- z y))))
2.5b
(sqrt (/ (- x y) (- z y)))
2.5b
(sqrt (/ (- x y) (- z y)))

rewrite251.0ms

Algorithm
rewrite-expression-head
Rules
338×*-un-lft-identity
288×add-sqr-sqrt
248×sqrt-prod
231×times-frac
108×distribute-lft-out--
94×add-cube-cbrt
80×difference-of-squares
60×swap-sqr
34×associate-*r* associate-*l*
21×pow1
14×associate-/r/
10×sqrt-pow1 pow1/2
9×unswap-sqr
8×add-exp-log flip3-- add-cbrt-cube flip--
7×div-inv
6×sqrt-div
5×associate-/r* pow-prod-up associate-/l*
4×rem-sqrt-square add-log-exp
3×pow-prod-down pow-sqr
2×associate-/l/
1×cbrt-undiv pow2 frac-times frac-2neg pow-plus sqrt-unprod div-sub associate-*r/ div-exp associate-*l/ prod-exp clear-num rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 303
Calls
4 calls:
25.0ms
(/ (- x y) (- z y))
146.0ms
(* (sqrt (/ (- x y) (- z y))) (sqrt (/ (- x y) (- z y))))
20.0ms
(sqrt (/ (- x y) (- z y)))
37.0ms
(sqrt (/ (- x y) (- z y)))

series418.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(/ (- x y) (- z y))
72.0ms
(* (sqrt (/ (- x y) (- z y))) (sqrt (/ (- x y) (- z y))))
125.0ms
(sqrt (/ (- x y) (- z y)))
150.0ms
(sqrt (/ (- x y) (- z y)))

simplify3.5s

Counts
315 → 315
Iterations

Useful iterations: done (3.5s)

IterNodesCost
02626388
14714535
215154345
347914278
done50004238

prune808.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes81.0ms

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
0711
done711

end0.0ms

sample617.0ms

Algorithm
intervals
Results
273.0ms8339×body80valid