Details

Time bar (total: 12.8s)

sample23.0ms

Algorithm
intervals
Results
11.0ms320×body80valid

simplify62.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1117
2227
3427
4617
5827
6927
done927

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.8b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
12.2b
(/ (* x (- y z)) y)

rewrite43.0ms

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:
24.0ms
(* x (- y z))
18.0ms
(/ (* x (- y z)) y)

series127.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(* x (- y z))
74.0ms
(/ (* x (- y z)) y)

simplify2.3s

Counts
55 → 55
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
090481
1219457
2715399
33669399
done5000399

prune118.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- y z))
2.6b
(/ x (/ y (- y z)))

rewrite38.0ms

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:
15.0ms
(/ y (- y z))
17.0ms
(/ x (/ y (- y z)))

series126.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(/ y (- y z))
61.0ms
(/ x (/ y (- y z)))

simplify1.2s

Counts
145 → 145
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02182050
14591914
216191842
done50001833

prune389.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

2.7b
(* x (- 1 (/ z y)))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
8×associate-*r*
7×*-un-lft-identity
4×difference-of-squares
3×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube
2×distribute-rgt-in sub-neg distribute-lft-in times-frac associate-*r/
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod distribute-lft-out-- add-log-exp unswap-sqr
Counts
1 → 29
Calls
1 calls:
71.0ms
(* x (- 1 (/ z y)))

series31.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(* x (- 1 (/ z y)))

simplify3.5s

Counts
32 → 32
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
062306
1150287
2342259
3933259
44010259
done5000259

prune69.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (- y z))
0.2b
(/ 1 (/ (/ y (- y z)) x))
2.6b
(/ (/ y (- y z)) x)

rewrite171.0ms

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:
24.0ms
(/ y (- y z))
53.0ms
(/ 1 (/ (/ y (- y z)) x))
38.0ms
(/ (/ y (- y z)) x)

series228.0ms

Counts
3 → 9
Calls
3 calls:
73.0ms
(/ y (- y z))
61.0ms
(/ 1 (/ (/ y (- y z)) x))
94.0ms
(/ (/ y (- y z)) x)

simplify2.5s

Counts
444 → 444
Iterations

Useful iterations: done (2.5s)

IterNodesCost
05778467
113357371
226726527
done50016425

prune719.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes66.0ms

Accuracy

13.4% (2.9b remaining)

Error of 2.9b against oracle of 0.0b and baseline of 3.4b

bsearch49.0ms

Steps
ItersRangePoint
6
6.5607638168025004e-108
4.3788851649892593e-107
2.7244071018967518e-107
7
-9.48193357278905e-162
-2.864240984184734e-163
-7.699929332195363e-162

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01833
12625
done2625

end0.0ms

sample789.0ms

Algorithm
intervals
Results
398.0ms9567×body80valid