Details

Time bar (total: 15.4s)

sample38.0ms

Algorithm
intervals
Results
18.0ms256×body80valid

simplify9.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1119
2149
done149

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.5b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (/ y z))
5.5b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite93.0ms

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:
26.0ms
(- 1.0 (/ y z))
62.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series103.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(- 1.0 (/ y z))
77.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify2.6s

Counts
71 → 71
Iterations

Useful iterations: 4 (1.4s)

IterNodesCost
01041002
1221974
2570928
31397928
43891927
done5000927

prune217.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 4.3b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (/ y z))
0.4b
(/ 1 (- 1.0 (/ y z)))
5.1b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite174.0ms

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:
20.0ms
(- 1.0 (/ y z))
36.0ms
(/ 1 (- 1.0 (/ y z)))
110.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series130.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(- 1.0 (/ y z))
50.0ms
(/ 1 (- 1.0 (/ y z)))
62.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify2.3s

Counts
121 → 121
Iterations

Useful iterations: 2 (159.0ms)

IterNodesCost
01521531
13541306
210071198
328191198
done50001198

prune330.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 4.3b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (/ y z))
0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
5.6b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite174.0ms

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:
10.0ms
(- 1.0 (/ y z))
69.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
82.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series301.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(- 1.0 (/ y z))
216.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
67.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify2.8s

Counts
219 → 219
Iterations

Useful iterations: 3 (1.5s)

IterNodesCost
02544188
15943692
214113375
337823331
done50003331

prune458.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (+ x y))
0.0b
(- 1.0 (/ y z))
0.2b
(/ 1 (* (- 1.0 (/ y z)) (/ 1 (+ x y))))
5.6b
(* (- 1.0 (/ y z)) (/ 1 (+ x y)))

rewrite198.0ms

Algorithm
rewrite-expression-head
Rules
52×add-exp-log
43×*-un-lft-identity
41×add-sqr-sqrt
31×times-frac
24×add-cube-cbrt
20×div-exp add-cbrt-cube
18×associate-*r*
16×prod-exp
10×pow1 rec-exp 1-exp associate-/r/
7×distribute-lft-out
6×cbrt-undiv associate-*l* associate-/l* add-log-exp
5×flip3-- associate-/r* flip--
4×frac-times associate-*l/ cbrt-unprod difference-of-squares
3×pow-flip div-inv unswap-sqr
2×frac-2neg flip3-+ associate-*r/ pow-prod-down clear-num un-div-inv flip-+ distribute-lft-out-- inv-pow
1×sub-neg diff-log *-commutative
Counts
4 → 144
Calls
4 calls:
13.0ms
(/ 1 (+ x y))
10.0ms
(- 1.0 (/ y z))
61.0ms
(/ 1 (* (- 1.0 (/ y z)) (/ 1 (+ x y))))
105.0ms
(* (- 1.0 (/ y z)) (/ 1 (+ x y)))

series305.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(/ 1 (+ x y))
27.0ms
(- 1.0 (/ y z))
160.0ms
(/ 1 (* (- 1.0 (/ y z)) (/ 1 (+ x y))))
60.0ms
(* (- 1.0 (/ y z)) (/ 1 (+ x y)))

simplify3.6s

Counts
156 → 156
Iterations

Useful iterations: 2 (241.0ms)

IterNodesCost
01741951
14121606
211951376
340441376
done50001376

prune315.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes272.0ms

Accuracy

97.7% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 7.7b

bsearch2.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02057
12749
done2749

end0.0ms

sample854.0ms

Algorithm
intervals
Results
432.0ms7997×body80valid
1.0ms3×body1280valid