Details

Time bar (total: 52.8s)

sample105.0ms

Algorithm
intervals
Results
47.0ms333×body80valid

simplify8.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1209
2419
3579
4769
51109
62199
75259
815169
949449
done50009

prune28.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize199.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (- (+ x y) z) (* t 2.0))

rewrite450.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
7×add-sqr-sqrt
6×add-exp-log times-frac add-cbrt-cube associate-/l*
4×distribute-lft-out--
3×add-cube-cbrt
2×cbrt-undiv div-exp associate-/l/ distribute-lft-out difference-of-squares
1×pow1 flip3-- frac-2neg div-sub prod-exp clear-num associate-/r* flip-- cbrt-unprod div-inv add-log-exp
Counts
1 → 30
Calls
1 calls:
425.0ms
(/ (- (+ x y) z) (* t 2.0))

series117.0ms

Counts
1 → 3
Calls
1 calls:
117.0ms
(/ (- (+ x y) z) (* t 2.0))

simplify8.5s

Counts
33 → 33
Iterations

Useful iterations: 3 (5.0s)

IterNodesCost
078418
1201411
2717355
33947353
done5000353

prune506.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ x y) (* t 2.0))
0.0b
(- (/ (+ x y) (* t 2.0)) (/ z (* t 2.0)))

rewrite436.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity
8×times-frac
7×add-exp-log add-cbrt-cube
6×add-sqr-sqrt
4×add-cube-cbrt associate-/l* add-log-exp
3×div-inv distribute-lft-out distribute-lft-out--
2×pow1 cbrt-undiv div-exp associate-/l/
1×sub-neg flip3-- distribute-rgt-out-- frac-2neg flip3-+ diff-log prod-exp clear-num associate-/r* frac-sub flip-- cbrt-unprod flip-+ sub-div difference-of-squares
Counts
2 → 44
Calls
2 calls:
127.0ms
(/ (+ x y) (* t 2.0))
269.0ms
(- (/ (+ x y) (* t 2.0)) (/ z (* t 2.0)))

series326.0ms

Counts
2 → 6
Calls
2 calls:
122.0ms
(/ (+ x y) (* t 2.0))
195.0ms
(- (/ (+ x y) (* t 2.0)) (/ z (* t 2.0)))

simplify8.2s

Counts
50 → 50
Iterations

Useful iterations: 3 (5.1s)

IterNodesCost
0100707
1269669
2896605
33910601
done5001601

prune528.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize171.0ms

Local error

Found 1 expressions with local error:

0.3b
(* (/ 1 (* t 2.0)) (- (+ x y) z))

rewrite368.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log
10×prod-exp add-cbrt-cube
9×*-un-lft-identity
8×add-sqr-sqrt
7×associate-*l*
6×associate-*r*
4×add-cube-cbrt div-exp cbrt-unprod
3×pow1 distribute-rgt-in distribute-lft-in times-frac
2×cbrt-undiv frac-times sub-neg rec-exp flip3-- 1-exp associate-*r/ associate--l+ flip-- distribute-lft-out--
1×pow-prod-down associate-*l/ *-commutative div-inv distribute-lft-out add-log-exp difference-of-squares unswap-sqr
Counts
1 → 44
Calls
1 calls:
287.0ms
(* (/ 1 (* t 2.0)) (- (+ x y) z))

series116.0ms

Counts
1 → 3
Calls
1 calls:
116.0ms
(* (/ 1 (* t 2.0)) (- (+ x y) z))

simplify5.3s

Counts
47 → 47
Iterations

Useful iterations: done (5.2s)

IterNodesCost
0119740
1365700
22174540
done5000538

prune252.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- (+ x y) z))
0.0b
(sqrt (- (+ x y) z))
0.2b
(/ (sqrt (- (+ x y) z)) t)
0.2b
(* (/ (/ (sqrt (- (+ x y) z)) t) 2.0) (sqrt (- (+ x y) z)))

rewrite836.0ms

Algorithm
rewrite-expression-head
Rules
211×times-frac
186×*-un-lft-identity
166×add-sqr-sqrt
106×add-cube-cbrt
102×sqrt-prod
97×associate-*l*
32×distribute-lft-out--
16×distribute-lft-out difference-of-squares
15×add-exp-log add-cbrt-cube
10×sqrt-div
9×associate-*r* associate-/l*
8×pow1 unswap-sqr
5×flip3-- flip-- div-inv
4×cbrt-undiv div-exp add-log-exp
3×prod-exp associate-/r* cbrt-unprod
2×frac-times rem-sqrt-square sqrt-pow1 pow1/2 associate-*r/ associate-/l/
1×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
Counts
4 → 223
Calls
4 calls:
91.0ms
(sqrt (- (+ x y) z))
72.0ms
(sqrt (- (+ x y) z))
105.0ms
(/ (sqrt (- (+ x y) z)) t)
535.0ms
(* (/ (/ (sqrt (- (+ x y) z)) t) 2.0) (sqrt (- (+ x y) z)))

series834.0ms

Counts
4 → 12
Calls
4 calls:
142.0ms
(sqrt (- (+ x y) z))
111.0ms
(sqrt (- (+ x y) z))
485.0ms
(/ (sqrt (- (+ x y) z)) t)
80.0ms
(* (/ (/ (sqrt (- (+ x y) z)) t) 2.0) (sqrt (- (+ x y) z)))

simplify10.5s

Counts
235 → 235
Iterations

Useful iterations: done (10.4s)

IterNodesCost
02944156
17653977
232673823
done50013305

prune2.7s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes807.0ms

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
01013
11213
done1213

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.2s10914×body80valid