Details

Time bar (total: 15.6s)

sample26.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify8.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1119
2149
done149

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.8b

localize10.0ms

Local error

Found 1 expressions with local error:

8.8b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite60.0ms

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:
56.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series89.0ms

Counts
1 → 3
Calls
1 calls:
89.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify2.8s

Counts
53 → 53
Iterations

Useful iterations: 4 (1.3s)

IterNodesCost
095835
1204812
2547776
31371776
43954775
done5000775

prune120.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 6.6b

localize9.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ 1 (- 1.0 (/ y z)))
8.3b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite103.0ms

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:
25.0ms
(/ 1 (- 1.0 (/ y z)))
74.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series116.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(/ 1 (- 1.0 (/ y z)))
55.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify2.3s

Counts
103 → 103
Iterations

Useful iterations: 2 (182.0ms)

IterNodesCost
01431364
13371144
29751046
327941046
done50001046

prune202.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 6.6b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
8.8b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite114.0ms

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:
36.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
60.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series225.0ms

Counts
2 → 6
Calls
2 calls:
156.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
69.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify2.9s

Counts
201 → 201
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
02454021
15703530
213263223
335273179
done50003179

prune342.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize23.0ms

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)))
2.4b
(/ (/ y (+ x y)) z)

rewrite334.0ms

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:
11.0ms
(/ 1.0 (+ x y))
14.0ms
(/ y (+ x y))
246.0ms
(/ 1 (- (/ 1.0 (+ x y)) (/ (/ y (+ x y)) z)))
50.0ms
(/ (/ y (+ x y)) z)

series420.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(/ 1.0 (+ x y))
55.0ms
(/ y (+ x y))
207.0ms
(/ 1 (- (/ 1.0 (+ x y)) (/ (/ y (+ x y)) z)))
101.0ms
(/ (/ y (+ x y)) z)

simplify3.3s

Counts
238 → 238
Iterations

Useful iterations: 2 (460.0ms)

IterNodesCost
03273852
16783553
215373441
342183441
done50013441

prune773.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes247.0ms

Accuracy

77.6% (0.3b remaining)

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

bsearch73.0ms

Steps
ItersRangePoint
6
1.1045492246814538e+44
1.7622296667986306e+45
1.3552107242087452e+44
5
-3.027341216884156e+70
-9.815906965660368e+69
-1.0718714682076865e+70

simplify7.0ms

Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
02047
12633
done2633

end0.0ms

sample913.0ms

Algorithm
intervals
Results
429.0ms7999×body80valid
0.0ms1×body1280valid