Details

Time bar (total: 2.6s)

sample18.0ms

Algorithm
intervals
Results
7.0ms296×body80valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1214
2244
3254
4254
done254

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (* x y) 2.0)
0.0b
(- (/ (* x y) 2.0) (/ z 8.0))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
7×add-exp-log add-cbrt-cube
6×*-un-lft-identity
4×add-cube-cbrt times-frac add-log-exp
3×associate-/r*
2×pow1 cbrt-undiv div-exp difference-of-squares
1×sub-neg flip3-- frac-2neg diff-log prod-exp clear-num frac-sub flip-- cbrt-unprod div-inv associate-/l* distribute-lft-out--
Counts
2 → 37
Calls
2 calls:
9.0ms
(/ (* x y) 2.0)
20.0ms
(- (/ (* x y) 2.0) (/ z 8.0))

series66.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(/ (* x y) 2.0)
45.0ms
(- (/ (* x y) 2.0) (/ z 8.0))

simplify72.0ms

Counts
43 → 43
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
0209217
1779198
23389197
35001197
done5001197

prune76.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (/ x (/ 2.0 y)) (/ z 8.0))
0.2b
(/ x (/ 2.0 y))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
86×times-frac
65×add-sqr-sqrt
50×*-un-lft-identity
44×add-cube-cbrt
13×associate-/r*
7×add-exp-log add-cbrt-cube
6×difference-of-squares
5×div-inv
4×add-log-exp
3×cbrt-undiv div-exp associate-/l*
2×pow1 distribute-lft-out--
1×sub-neg flip3-- frac-2neg diff-log clear-num associate-/r/ frac-sub flip--
Counts
2 → 91
Calls
2 calls:
59.0ms
(- (/ x (/ 2.0 y)) (/ z 8.0))
8.0ms
(/ x (/ 2.0 y))

series65.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(- (/ x (/ 2.0 y)) (/ z 8.0))
20.0ms
(/ x (/ 2.0 y))

simplify42.0ms

Counts
97 → 97
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0440653
11589629
25002627
done5002627

prune214.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 44
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series745.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(cbrt x)
179.0ms
(cbrt y)
195.0ms
(cbrt y)
184.0ms
(cbrt y)

simplify53.0ms

Counts
56 → 56
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
069156
1145144
2346136
31277136
45001136
done5001136

prune212.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (/ 2.0 y) z)
8.9b
(/ (- (* x 8.0) (* (/ 2.0 y) z)) (* (/ 2.0 y) 8.0))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-exp-log add-cbrt-cube
13×times-frac associate-*l*
12×add-cube-cbrt *-un-lft-identity
5×cbrt-undiv div-exp
4×pow1 prod-exp cbrt-unprod
3×associate-*r* associate-/l*
2×associate-*l/ div-inv associate-/l/ add-log-exp unswap-sqr
1×flip3-- frac-2neg div-sub pow-prod-down clear-num associate-/r* associate-/r/ *-commutative flip--
Counts
2 → 59
Calls
2 calls:
16.0ms
(* (/ 2.0 y) z)
24.0ms
(/ (- (* x 8.0) (* (/ 2.0 y) z)) (* (/ 2.0 y) 8.0))

series65.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(* (/ 2.0 y) z)
49.0ms
(/ (- (* x 8.0) (* (/ 2.0 y) z)) (* (/ 2.0 y) 8.0))

simplify47.0ms

Counts
65 → 65
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0369435
11875353
25001352
done5001352

prune124.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes111.0ms

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
0104
1104
done104

end0.0ms

sample458.0ms

Algorithm
intervals
Results
210.0ms9223×body80valid
0.0ms1×body320valid