Details

Time bar (total: 8.2s)

sample18.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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 2 expressions with local error:

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

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
79×add-sqr-sqrt
75×*-un-lft-identity
57×times-frac
49×add-cube-cbrt
39×prod-diff
12×difference-of-squares
7×distribute-lft-out
6×associate-/r* distribute-lft-out--
4×add-exp-log add-cbrt-cube div-inv associate-/l* add-log-exp
3×fma-neg
2×pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u associate-/l/
1×cbrt-undiv sub-neg frac-2neg flip3-+ diff-log div-exp clear-num flip-+
Counts
2 → 111
Calls
2 calls:
8.0ms
(- 1.0 (/ y z))
18.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series72.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(- 1.0 (/ y z))
56.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify954.0ms

Counts
117 → 117
Iterations

Useful iterations: done (950.0ms)

IterNodesCost
02202574
15062334
213851853
done50011829

prune233.0ms

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))))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
107×add-sqr-sqrt
79×*-un-lft-identity
73×times-frac
60×add-cube-cbrt
39×prod-diff
24×associate-*r*
16×add-exp-log difference-of-squares
10×add-cbrt-cube
8×distribute-lft-out--
6×pow1 associate-/r*
5×div-inv add-log-exp
4×div-exp associate-*l* prod-exp associate-/r/
3×expm1-log1p-u flip3-- fma-neg flip-- log1p-expm1-u associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp flip3-+ 1-exp associate-*l/ cbrt-unprod flip-+
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 → 160
Calls
3 calls:
8.0ms
(- 1.0 (/ y z))
13.0ms
(/ 1 (- 1.0 (/ y z)))
43.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series121.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(- 1.0 (/ y z))
44.0ms
(/ 1 (- 1.0 (/ y z)))
58.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify1.2s

Counts
169 → 169
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02703123
16462734
218862139
done50002115

prune325.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 5.2b

localize8.0ms

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))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
259×times-frac
235×add-sqr-sqrt
231×*-un-lft-identity
125×add-cube-cbrt
44×difference-of-squares
39×prod-diff
34×associate-/r*
31×distribute-lft-out
22×distribute-lft-out--
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
9×div-inv associate-/l*
8×div-exp
5×flip3-+ flip-+ add-log-exp
4×pow1 cbrt-undiv
3×expm1-log1p-u fma-neg log1p-expm1-u
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 → 258
Calls
3 calls:
11.0ms
(- 1.0 (/ y z))
22.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
27.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series185.0ms

Counts
3 → 9
Calls
3 calls:
16.0ms
(- 1.0 (/ y z))
126.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
42.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify1.3s

Counts
267 → 267
Iterations

Useful iterations: done (1.3s)

IterNodesCost
03725784
19005159
225004317
done50004293

prune386.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

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)

rewrite168.0ms

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×expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×rec-exp flip3-- pow-flip 1-exp frac-sub flip-- associate-/l/ inv-pow
Counts
4 → 234
Calls
4 calls:
5.0ms
(/ 1.0 (+ x y))
5.0ms
(/ y (+ x y))
133.0ms
(/ 1 (- (/ 1.0 (+ x y)) (/ (/ y (+ x y)) z)))
12.0ms
(/ (/ y (+ x y)) z)

series279.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(/ 1.0 (+ x y))
42.0ms
(/ y (+ x y))
128.0ms
(/ 1 (- (/ 1.0 (+ x y)) (/ (/ y (+ x y)) z)))
69.0ms
(/ (/ y (+ x y)) z)

simplify1.4s

Counts
246 → 246
Iterations

Useful iterations: 2 (405.0ms)

IterNodesCost
03353924
17013649
217253509
done50003509

prune730.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes156.0ms

Accuracy

89.5% (0.1b remaining)

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

bsearch58.0ms

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

sample359.0ms

Algorithm
intervals
Results
197.0ms8000×body80valid