Details

Time bar (total: 14.9s)

sample29.0ms

Algorithm
intervals
Results
14.0ms310×body80valid

simplify3.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07163
111163
218163
332163
447163
562163
678163
7113163
8213163
9413163
10948163
112690163
done5000163

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.6b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z x))
0.0b
(+ x (* y (- z x)))
9.9b
(/ (+ x (* y (- z x))) z)

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
15×*-un-lft-identity
13×add-cube-cbrt
9×times-frac
7×add-cbrt-cube add-exp-log
5×pow1 associate-*r* add-log-exp
4×distribute-rgt-in associate-+r+ sub-neg distribute-lft-in
3×associate-/r* associate-*l* associate-/l*
2×flip3-+ associate-*r/ flip-+ associate-/l/
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg flip3-- div-exp pow-prod-down prod-exp *-commutative cbrt-unprod div-inv flip-- distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 70
Calls
3 calls:
25.0ms
(* y (- z x))
10.0ms
(+ x (* y (- z x)))
21.0ms
(/ (+ x (* y (- z x))) z)

series144.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(* y (- z x))
42.0ms
(+ x (* y (- z x)))
53.0ms
(/ (+ x (* y (- z x))) z)

simplify2.8s

Counts
79 → 79
Iterations

Useful iterations: 2 (216.0ms)

IterNodesCost
011617310
127515973
274915813
3353315813
done500215813

prune309.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 5.0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (+ y (/ x z)) (/ (* x y) z))
9.1b
(/ (* x y) z)

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
9×*-un-lft-identity
7×add-cbrt-cube add-exp-log add-log-exp
6×add-sqr-sqrt
4×add-cube-cbrt
3×associate-/r* times-frac
2×pow1 cbrt-undiv diff-log div-exp frac-sub distribute-lft-out--
1×clear-num sum-log sub-neg frac-2neg flip3-+ flip3-- prod-exp associate--l+ cbrt-unprod flip-+ div-inv flip-- distribute-lft-out associate-/l* difference-of-squares
Counts
2 → 40
Calls
2 calls:
85.0ms
(- (+ y (/ x z)) (/ (* x y) z))
12.0ms
(/ (* x y) z)

series52.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(- (+ y (/ x z)) (/ (* x y) z))
22.0ms
(/ (* x y) z)

simplify3.1s

Counts
46 → 46
Iterations

Useful iterations: 3 (1.5s)

IterNodesCost
09611416
125610232
29629992
345559912
done52749912

prune181.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (+ y (/ x z)) (/ x (/ z y)))
8.4b
(/ x (/ z y))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
53×add-sqr-sqrt
49×*-un-lft-identity
44×add-cube-cbrt
13×associate-/r*
7×add-cbrt-cube add-exp-log add-log-exp
5×div-inv
3×cbrt-undiv div-exp associate-/l* difference-of-squares
2×pow1 diff-log frac-sub distribute-lft-out--
1×clear-num sum-log sub-neg frac-2neg flip3-+ flip3-- associate--l+ associate-/r/ flip-+ flip-- distribute-lft-out
Counts
2 → 91
Calls
2 calls:
97.0ms
(- (+ y (/ x z)) (/ x (/ z y)))
7.0ms
(/ x (/ z y))

series61.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(- (+ y (/ x z)) (/ x (/ z y)))
27.0ms
(/ x (/ z y))

simplify1.7s

Counts
97 → 97
Iterations

Useful iterations: done (1.7s)

IterNodesCost
020230192
151127235
2179926303
done500126142

prune497.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ y (- (/ x z) (* y (/ x z))))
0.0b
(- (/ x z) (* y (/ x z)))
3.5b
(* y (/ x z))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt *-un-lft-identity
13×associate-*r*
11×times-frac add-cube-cbrt
10×add-log-exp
8×add-cbrt-cube add-exp-log
5×pow1
3×associate-*l* associate-*r/
2×associate-+r+ sum-log sub-neg distribute-rgt-out-- diff-log prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative associate-+r- flip3-+ flip3-- div-exp pow-prod-down *-commutative frac-sub flip-+ div-inv flip-- distribute-lft-out sub-div
Counts
3 → 64
Calls
3 calls:
29.0ms
(+ y (- (/ x z) (* y (/ x z))))
15.0ms
(- (/ x z) (* y (/ x z)))
12.0ms
(* y (/ x z))

series97.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(+ y (- (/ x z) (* y (/ x z))))
42.0ms
(- (/ x z) (* y (/ x z)))
24.0ms
(* y (/ x z))

simplify1.2s

Counts
73 → 73
Iterations

Useful iterations: 2 (212.0ms)

IterNodesCost
011814327
130612549
2103212349
done501712349

prune299.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes168.0ms

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
07163
19163
done9163

end0.0ms

sample699.0ms

Algorithm
intervals
Results
386.0ms10135×body80valid