Details

Time bar (total: 11.8s)

sample16.0ms

Algorithm
intervals
Results
5.0ms271×body80valid

simplify12.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1127
2167
3187
done187

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite45.0ms

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 expm1-log1p-u frac-2neg div-sub div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 54
Calls
1 calls:
42.0ms
(/ (- x y) (- z y))

series75.0ms

Counts
1 → 3
Calls
1 calls:
75.0ms
(/ (- x y) (- z y))

simplify2.8s

Counts
57 → 57
Iterations

Useful iterations: 4 (1.6s)

IterNodesCost
096724
1229696
2562668
31380668
43737666
done5000666

prune199.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- x y) (- z y))
0.2b
(pow (/ (- x y) (- z y)) 3)
17.2b
(cbrt (pow (/ (- x y) (- z y)) 3))

rewrite146.0ms

Algorithm
rewrite-expression-head
Rules
165×add-sqr-sqrt *-un-lft-identity
125×times-frac
68×cbrt-prod
62×unpow-prod-down cube-prod
61×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
10×associate-/r/
8×add-exp-log add-cbrt-cube
6×flip3-- flip--
5×associate-/r* div-inv associate-/l*
4×pow1
3×expm1-log1p-u pow-unpow log1p-expm1-u add-log-exp
2×cbrt-undiv cube-div cube-mult unpow3 div-exp pow-exp associate-/l/ rem-cube-cbrt sqr-pow
1×pow-to-exp cbrt-div pow-pow frac-2neg pow1/3 div-sub clear-num rem-cbrt-cube
Counts
3 → 218
Calls
3 calls:
32.0ms
(/ (- x y) (- z y))
42.0ms
(pow (/ (- x y) (- z y)) 3)
48.0ms
(cbrt (pow (/ (- x y) (- z y)) 3))

series378.0ms

Counts
3 → 9
Calls
3 calls:
81.0ms
(/ (- x y) (- z y))
218.0ms
(pow (/ (- x y) (- z y)) 3)
79.0ms
(cbrt (pow (/ (- x y) (- z y)) 3))

simplify1.4s

Counts
227 → 227
Iterations

Useful iterations: 2 (432.0ms)

IterNodesCost
02174013
16163354
218833130
done50013130

prune492.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- x y) (- z y))
0.1b
(* (sqrt (/ (- x y) (- z y))) (sqrt (/ (- x y) (- z y))))
3.8b
(sqrt (/ (- x y) (- z y)))
3.8b
(sqrt (/ (- x y) (- z y)))

rewrite256.0ms

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×expm1-log1p-u rem-sqrt-square log1p-expm1-u 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 → 311
Calls
4 calls:
25.0ms
(/ (- x y) (- z y))
136.0ms
(* (sqrt (/ (- x y) (- z y))) (sqrt (/ (- x y) (- z y))))
29.0ms
(sqrt (/ (- x y) (- z y)))
34.0ms
(sqrt (/ (- x y) (- z y)))

series504.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(/ (- x y) (- z y))
91.0ms
(* (sqrt (/ (- x y) (- z y))) (sqrt (/ (- x y) (- z y))))
173.0ms
(sqrt (/ (- x y) (- z y)))
174.0ms
(sqrt (/ (- x y) (- z y)))

simplify3.8s

Counts
323 → 323
Iterations

Useful iterations: 3 (1.8s)

IterNodesCost
02686476
14844598
215474408
349164341
done50004341

prune967.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes91.0ms

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

sample606.0ms

Algorithm
intervals
Results
248.0ms8363×body80valid