Details

Time bar (total: 4.9s)

sample25.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1119
2149
done149

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.4b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

7.4b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite13.0ms

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:
11.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series12.0ms

Counts
1 → 3
Calls
1 calls:
12.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify1.2s

Counts
53 → 53
Iterations

Useful iterations: 4 (423.0ms)

IterNodesCost
095835
1204812
2524776
31422776
43847775
done5000775

prune90.0ms

Filtered
35 candidates to 53 candidates (-51.4%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New46753
Fresh000
Picked011
Done000
Total46854

Merged error: 4.5b

Counts
54 → 8

localize8.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ 1 (- 1.0 (/ y z)))
6.9b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite32.0ms

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:
9.0ms
(/ 1 (- 1.0 (/ y z)))
19.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series17.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(/ 1 (- 1.0 (/ y z)))
11.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify759.0ms

Counts
103 → 103
Iterations

Useful iterations: done (757.0ms)

IterNodesCost
01431364
13491196
212881046
342391046
done50011045

prune109.0ms

Filtered
57 candidates to 103 candidates (-80.7%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1030103
Fresh066
Picked011
Done011
Total1038111

Merged error: 4.5b

Counts
111 → 8

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
7.4b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite43.0ms

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:
18.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
11.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series30.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
11.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify451.0ms

Counts
201 → 201
Iterations

Useful iterations: 2 (174.0ms)

IterNodesCost
02454021
16013616
219563223
done50023223

prune156.0ms

Filtered
87 candidates to 201 candidates (-131.0%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1992201
Fresh145
Picked011
Done022
Total2009209

Merged error: 4.5b

Counts
209 → 9

localize13.0ms

Local error

Found 3 expressions with local error:

0.3b
(* (/ y z) (/ y z))
3.3b
(/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z))))
11.6b
(* (/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z)))) (+ 1.0 (/ y z)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
73×times-frac
71×*-un-lft-identity
68×add-sqr-sqrt
51×add-cube-cbrt
35×associate-*l*
22×add-exp-log add-cbrt-cube
17×associate-*r*
13×swap-sqr
12×pow1
10×distribute-lft-out
9×difference-of-squares
6×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
4×associate-/r* associate-/r/ associate-/l*
3×frac-times flip3-+ associate-*r/ flip-+ add-log-exp
2×flip3-- pow-prod-down associate-*l/ *-commutative flip-- associate-/l/
1×pow2 distribute-rgt-in frac-2neg distribute-lft-in pow-plus clear-num pow-sqr pow-prod-up
Counts
3 → 155
Calls
3 calls:
11.0ms
(* (/ y z) (/ y z))
8.0ms
(/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z))))
18.0ms
(* (/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z)))) (+ 1.0 (/ y z)))

series59.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(* (/ y z) (/ y z))
24.0ms
(/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z))))
29.0ms
(* (/ (+ x y) (- (* 1.0 1.0) (* (/ y z) (/ y z)))) (+ 1.0 (/ y z)))

simplify828.0ms

Counts
164 → 164
Iterations

Useful iterations: 2 (281.0ms)

IterNodesCost
02443083
18312913
235992609
done50002609

prune177.0ms

Filtered
113 candidates to 164 candidates (-45.1%)
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New1640164
Fresh055
Picked011
Done033
Total1649173

Merged error: 4.5b

Counts
173 → 9

regimes288.0ms

Accuracy

66% (0.7b remaining)

Error of 6.1b against oracle of 5.5b and baseline of 7.4b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
02465
13257
done3257

end0.0ms

sample580.0ms

Algorithm
intervals
Results
257.0ms7995×body80valid
1.0ms4×body1280valid
0.0ms1×body320valid

Profiling

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