Details

Time bar (total: 15.1s)

sample22.0ms

Algorithm
intervals
Results
10.0ms296×body80valid

simplify61.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1117
2227
3427
4617
5827
6927
done927

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.2b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
11.6b
(/ (* x (- y z)) y)

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×add-exp-log add-cbrt-cube
8×*-un-lft-identity
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 49
Calls
2 calls:
30.0ms
(* x (- y z))
17.0ms
(/ (* x (- y z)) y)

series106.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(* x (- y z))
58.0ms
(/ (* x (- y z)) y)

simplify2.7s

Counts
55 → 55
Iterations

Useful iterations: 2 (153.0ms)

IterNodesCost
090481
1219457
2715399
33669399
done5000399

prune119.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- y z))
2.2b
(/ x (/ y (- y z)))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
102×add-sqr-sqrt *-un-lft-identity
70×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
Counts
2 → 139
Calls
2 calls:
23.0ms
(/ y (- y z))
28.0ms
(/ x (/ y (- y z)))

series140.0ms

Counts
2 → 6
Calls
2 calls:
68.0ms
(/ y (- y z))
72.0ms
(/ x (/ y (- y z)))

simplify1.5s

Counts
145 → 145
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02182050
14591914
216191842
done50001833

prune431.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (- y z))
0.2b
(/ 1 (/ (/ y (- y z)) x))
2.2b
(/ (/ y (- y z)) x)

rewrite156.0ms

Algorithm
rewrite-expression-head
Rules
771×times-frac
439×add-sqr-sqrt *-un-lft-identity
335×add-cube-cbrt
75×associate-/r*
52×distribute-lft-out-- difference-of-squares
35×associate-/r/
31×add-exp-log
27×associate-/l*
23×div-inv
19×div-exp add-cbrt-cube
17×flip3-- flip--
10×cbrt-undiv
4×pow1
3×rec-exp frac-2neg 1-exp clear-num add-log-exp
1×pow-flip associate-/l/ inv-pow
Counts
3 → 435
Calls
3 calls:
20.0ms
(/ y (- y z))
58.0ms
(/ 1 (/ (/ y (- y z)) x))
33.0ms
(/ (/ y (- y z)) x)

series221.0ms

Counts
3 → 9
Calls
3 calls:
70.0ms
(/ y (- y z))
61.0ms
(/ 1 (/ (/ y (- y z)) x))
90.0ms
(/ (/ y (- y z)) x)

simplify2.3s

Counts
444 → 444
Iterations

Useful iterations: done (2.2s)

IterNodesCost
05778467
113357371
226726527
done50016425

prune996.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

2.4b
(* (- 1 (/ z y)) x)

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
8×associate-*l*
7×*-un-lft-identity
4×difference-of-squares
3×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube
2×times-frac associate-*l/
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod distribute-lft-out-- add-log-exp unswap-sqr
Counts
1 → 25
Calls
1 calls:
85.0ms
(* (- 1 (/ z y)) x)

series38.0ms

Counts
1 → 3
Calls
1 calls:
38.0ms
(* (- 1 (/ z y)) x)

simplify5.0s

Counts
28 → 28
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
058274
1130265
2359237
31082237
44254237
done5000237

prune75.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes160.0ms

Accuracy

27.2% (2.4b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 3.3b

bsearch100.0ms

Steps
ItersRangePoint
6
1.244754775604451e-168
5.196089908879025e-168
2.238050679494543e-168
10
-1.7207244416510206e-306
2.0187382582016927e-299
-2.19981894223323e-310

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02446
12746
done2746

end0.0ms

sample903.0ms

Algorithm
intervals
Results
462.0ms9627×body80valid