Details

Time bar (total: 9.2s)

sample20.0ms

Algorithm
intervals
Results
8.0ms266×body80valid

simplify11.0ms

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

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite24.0ms

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))

series58.0ms

Counts
1 → 3
Calls
1 calls:
58.0ms
(/ (- x y) (- z y))

simplify1.7s

Counts
55 → 55
Iterations

Useful iterations: 2 (105.0ms)

IterNodesCost
094708
1229681
2740653
34097653
done5000653

prune108.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite158.0ms

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:
119.0ms
(- (/ x (- z y)) (/ y (- z y)))
18.0ms
(/ y (- z y))
14.0ms
(/ x (- z y))

series191.0ms

Counts
3 → 9
Calls
3 calls:
90.0ms
(- (/ x (- z y)) (/ y (- z y)))
58.0ms
(/ y (- z y))
43.0ms
(/ x (- z y))

simplify1.5s

Counts
112 → 112
Iterations

Useful iterations: 2 (154.0ms)

IterNodesCost
01491266
13151203
28681159
336451159
done50001159

prune241.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- z y)) (/ 1 (/ (- z y) y)))
0.0b
(/ x (- z y))
0.0b
(/ (- z y) y)
0.6b
(/ 1 (/ (- z y) y))

rewrite201.0ms

Algorithm
rewrite-expression-head
Rules
168×times-frac
153×add-sqr-sqrt
136×*-un-lft-identity
80×add-cube-cbrt
30×difference-of-squares
27×associate-/r*
25×distribute-lft-out--
19×add-exp-log
13×add-cbrt-cube
11×associate-/l*
9×div-exp
8×div-inv
6×add-log-exp
5×pow1 cbrt-undiv
3×flip3-- frac-2neg clear-num associate-/r/ flip--
2×rec-exp 1-exp associate-/l/
1×sub-neg pow-flip diff-log div-sub frac-sub inv-pow
Counts
4 → 202
Calls
4 calls:
134.0ms
(- (/ x (- z y)) (/ 1 (/ (- z y) y)))
11.0ms
(/ x (- z y))
19.0ms
(/ (- z y) y)
24.0ms
(/ 1 (/ (- z y) y))

series219.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(- (/ x (- z y)) (/ 1 (/ (- z y) y)))
41.0ms
(/ x (- z y))
38.0ms
(/ (- z y) y)
53.0ms
(/ 1 (/ (- z y) y))

simplify2.1s

Counts
214 → 214
Iterations

Useful iterations: done (2.1s)

IterNodesCost
02802988
17032602
237822528
done50012524

prune448.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ 1 (sqrt (- z y)))
0.2b
(/ (- x y) (sqrt (- z y)))
0.2b
(* (/ 1 (sqrt (- z y))) (/ (- x y) (sqrt (- z y))))

rewrite186.0ms

Algorithm
rewrite-expression-head
Rules
191×add-sqr-sqrt
151×*-un-lft-identity
150×times-frac
101×sqrt-prod
75×add-cube-cbrt
46×associate-*r*
35×distribute-lft-out-- difference-of-squares
31×add-exp-log
30×associate-*l*
19×add-cbrt-cube
16×associate-/r*
15×unswap-sqr
11×div-exp
8×sqrt-div prod-exp associate-/r/ associate-/l*
7×pow1
6×cbrt-undiv
5×flip3-- flip--
4×cbrt-unprod div-inv
3×rec-exp pow-flip 1-exp add-log-exp
2×frac-2neg clear-num associate-/l/
1×frac-times sqrt-pow1 pow1/2 div-sub associate-*r/ pow-prod-down associate-*l/ *-commutative inv-pow
Counts
3 → 240
Calls
3 calls:
22.0ms
(/ 1 (sqrt (- z y)))
34.0ms
(/ (- x y) (sqrt (- z y)))
115.0ms
(* (/ 1 (sqrt (- z y))) (/ (- x y) (sqrt (- z y))))

series364.0ms

Counts
3 → 9
Calls
3 calls:
76.0ms
(/ 1 (sqrt (- z y)))
109.0ms
(/ (- x y) (sqrt (- z y)))
179.0ms
(* (/ 1 (sqrt (- z y))) (/ (- x y) (sqrt (- z y))))

simplify465.0ms

Counts
249 → 249
Iterations

Useful iterations: done (456.0ms)

IterNodesCost
02874219
18283727
done50003435

prune473.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes64.0ms

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

sample700.0ms

Algorithm
intervals
Results
326.0ms8341×body80valid