Details

Time bar (total: 15.5s)

sample25.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1119
2149
done149

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.9b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
37×*-un-lft-identity
29×times-frac
13×add-cube-cbrt
10×difference-of-squares
7×distribute-lft-out
6×associate-/r*
5×distribute-lft-out--
4×associate-/l*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 50
Calls
1 calls:
36.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series72.0ms

Counts
1 → 3
Calls
1 calls:
72.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify2.8s

Counts
53 → 53
Iterations

Useful iterations: 4 (1.3s)

IterNodesCost
095835
1204812
2547776
31371776
43954775
done5000775

prune160.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 5.2b

localize13.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ 1 (- 1.0 (/ y z)))
7.5b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite153.0ms

Algorithm
rewrite-expression-head
Rules
66×add-sqr-sqrt
45×times-frac
41×*-un-lft-identity
24×add-cube-cbrt associate-*r*
15×add-exp-log
14×difference-of-squares
9×add-cbrt-cube
7×distribute-lft-out--
6×associate-/r*
5×pow1
4×div-exp associate-*l* prod-exp associate-/r/
3×associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp flip3-- flip3-+ 1-exp associate-*l/ flip-- cbrt-unprod flip-+ div-inv add-log-exp
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative distribute-lft-out inv-pow
Counts
2 → 97
Calls
2 calls:
38.0ms
(/ 1 (- 1.0 (/ y z)))
109.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series130.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(/ 1 (- 1.0 (/ y z)))
71.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify2.3s

Counts
103 → 103
Iterations

Useful iterations: 2 (201.0ms)

IterNodesCost
01431364
13371144
29751046
327941046
done50001046

prune238.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 5.2b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
231×times-frac
194×add-sqr-sqrt
193×*-un-lft-identity
89×add-cube-cbrt
42×difference-of-squares
34×associate-/r*
31×distribute-lft-out
21×distribute-lft-out--
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube associate-/l*
8×div-exp
6×div-inv
5×flip3-+ flip-+
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 195
Calls
2 calls:
58.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
39.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series242.0ms

Counts
2 → 6
Calls
2 calls:
180.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
62.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify2.8s

Counts
201 → 201
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
02454021
15703530
213263223
335273179
done50003179

prune325.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (+ x y))
0.0b
(- (/ 1.0 (+ x y)) (/ (/ y (+ x y)) z))
0.2b
(/ 1 (- (/ 1.0 (+ x y)) (/ (/ y (+ x y)) z)))
2.3b
(/ (/ y (+ x y)) z)

rewrite458.0ms

Algorithm
rewrite-expression-head
Rules
215×times-frac
186×add-sqr-sqrt
168×*-un-lft-identity
81×add-cube-cbrt
30×difference-of-squares
24×associate-/l*
21×distribute-lft-out
19×associate-/r*
15×add-exp-log distribute-lft-out--
13×associate-/r/ add-cbrt-cube
7×div-inv
6×div-exp add-log-exp
5×pow1 cbrt-undiv flip3-+ flip-+
3×frac-2neg clear-num
2×flip3-- frac-sub flip--
1×sub-neg rec-exp pow-flip diff-log 1-exp associate-/l/ inv-pow
Counts
4 → 215
Calls
4 calls:
12.0ms
(/ y (+ x y))
192.0ms
(- (/ 1.0 (+ x y)) (/ (/ y (+ x y)) z))
206.0ms
(/ 1 (- (/ 1.0 (+ x y)) (/ (/ y (+ x y)) z)))
35.0ms
(/ (/ y (+ x y)) z)

series519.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(/ y (+ x y))
147.0ms
(- (/ 1.0 (+ x y)) (/ (/ y (+ x y)) z))
221.0ms
(/ 1 (- (/ 1.0 (+ x y)) (/ (/ y (+ x y)) z)))
95.0ms
(/ (/ y (+ x y)) z)

simplify2.8s

Counts
227 → 227
Iterations

Useful iterations: 2 (392.0ms)

IterNodesCost
03074061
16463780
214923652
341703652
done50003652

prune666.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes229.0ms

Accuracy

83.7% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 1.5b

bsearch93.0ms

Steps
ItersRangePoint
6
6.338470633040872e+46
3.8306613581281646e+47
9.808139144977446e+46
8
-3.1089471099746935e+33
-1.8643414828365696e+30
-7.355065664441932e+31

simplify7.0ms

Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
02151
12735
done2735

end0.0ms

sample1.2s

Algorithm
intervals
Results
816.0ms8000×body80valid