Details

Time bar (total: 11.0s)

sample15.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1119
2149
done149

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.9b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (/ y z))
7.9b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
40×*-un-lft-identity
30×times-frac
14×add-cube-cbrt
12×difference-of-squares
7×distribute-lft-out
6×associate-/r* distribute-lft-out--
4×add-exp-log add-cbrt-cube associate-/l* add-log-exp
2×pow1 flip3-- associate-/r/ flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg flip3-+ diff-log div-exp clear-num flip-+ div-inv
Counts
2 → 65
Calls
2 calls:
6.0ms
(- 1.0 (/ y z))
18.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series69.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(- 1.0 (/ y z))
53.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify2.2s

Counts
71 → 71
Iterations

Useful iterations: 4 (1.4s)

IterNodesCost
01041002
1221974
2541928
31368928
43659927
done5000927

prune153.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 5.2b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (/ y z))
0.3b
(/ 1 (- 1.0 (/ y z)))
7.6b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
72×add-sqr-sqrt
46×times-frac
44×*-un-lft-identity
25×add-cube-cbrt
24×associate-*r*
16×add-exp-log difference-of-squares
10×add-cbrt-cube
8×distribute-lft-out--
6×pow1 associate-/r*
5×add-log-exp
4×div-exp associate-*l* prod-exp associate-/r/
3×flip3-- flip-- associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp flip3-+ 1-exp associate-*l/ cbrt-unprod flip-+ div-inv
1×sub-neg pow-flip frac-2neg diff-log associate-*r/ pow-prod-down clear-num un-div-inv *-commutative distribute-lft-out inv-pow
Counts
3 → 112
Calls
3 calls:
6.0ms
(- 1.0 (/ y z))
13.0ms
(/ 1 (- 1.0 (/ y z)))
43.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series110.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(- 1.0 (/ y z))
46.0ms
(/ 1 (- 1.0 (/ y z)))
49.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify2.0s

Counts
121 → 121
Iterations

Useful iterations: done (2.0s)

IterNodesCost
01521531
13611306
29501198
329021198
done50001197

prune216.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 5.2b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (/ y z))
0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
7.9b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
232×times-frac
200×add-sqr-sqrt
196×*-un-lft-identity
90×add-cube-cbrt
44×difference-of-squares
34×associate-/r*
31×distribute-lft-out
22×distribute-lft-out--
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
9×associate-/l*
8×div-exp
6×div-inv
5×flip3-+ flip-+ add-log-exp
4×pow1 cbrt-undiv
2×rec-exp flip3-- frac-2neg 1-exp clear-num flip-- associate-/l/
1×sub-neg pow-flip diff-log div-sub inv-pow
Counts
3 → 210
Calls
3 calls:
6.0ms
(- 1.0 (/ y z))
21.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
22.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series172.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(- 1.0 (/ y z))
115.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
40.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify2.1s

Counts
219 → 219
Iterations

Useful iterations: done (2.1s)

IterNodesCost
02544188
16153692
213863375
340133331
done50003329

prune286.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1.0 (+ x y))
0.0b
(/ y (+ x y))
0.2b
(/ 1 (- (/ 1.0 (+ x y)) (/ (/ y (+ x y)) z)))
2.5b
(/ (/ y (+ x y)) z)

rewrite170.0ms

Algorithm
rewrite-expression-head
Rules
214×times-frac
174×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
27×associate-/l*
24×distribute-lft-out difference-of-squares
23×associate-/r*
17×add-exp-log
15×associate-/r/ add-cbrt-cube
12×distribute-lft-out--
8×div-inv
7×div-exp
6×cbrt-undiv flip3-+ flip-+
5×pow1
4×frac-2neg clear-num add-log-exp
1×rec-exp flip3-- pow-flip 1-exp frac-sub flip-- associate-/l/ inv-pow
Counts
4 → 226
Calls
4 calls:
7.0ms
(/ 1.0 (+ x y))
6.0ms
(/ y (+ x y))
134.0ms
(/ 1 (- (/ 1.0 (+ x y)) (/ (/ y (+ x y)) z)))
12.0ms
(/ (/ y (+ x y)) z)

series272.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(/ 1.0 (+ x y))
38.0ms
(/ y (+ x y))
127.0ms
(/ 1 (- (/ 1.0 (+ x y)) (/ (/ y (+ x y)) z)))
64.0ms
(/ (/ y (+ x y)) z)

simplify1.9s

Counts
238 → 238
Iterations

Useful iterations: 2 (355.0ms)

IterNodesCost
03273852
16883553
216433441
348863441
done50003441

prune458.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes146.0ms

Accuracy

89.6% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 1.4b

bsearch55.0ms

Steps
ItersRangePoint
11
6.566315034182895e-52
3.202218014216501e-28
3.126609329972934e-31
3
-8.884823372567576e-11
-7.26331637682836e-11
-8.783479185333875e-11

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
02047
12633
done2633

end0.0ms

sample376.0ms

Algorithm
intervals
Results
209.0ms8000×body80valid