Details

Time bar (total: 5.7s)

sample30.0ms

Algorithm
intervals
Results
13.0ms323×body80valid

simplify26.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01012
11612
22812
33912
44612
55212
65512
done5512

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 2.0b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
0.0b
(/ (+ x 4.0) y)
4.0b
(* (/ x y) z)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
25×add-sqr-sqrt
22×times-frac
20×add-cube-cbrt
13×associate-*l*
10×add-exp-log add-cbrt-cube
5×pow1 add-log-exp
4×distribute-lft-out associate-/l*
3×associate-*r* associate-*l/ associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×sub-neg flip3-- frac-2neg flip3-+ diff-log pow-prod-down clear-num *-commutative frac-sub flip-- flip-+ sub-div
Counts
3 → 79
Calls
3 calls:
9.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
6.0ms
(/ (+ x 4.0) y)
7.0ms
(* (/ x y) z)

series21.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
5.0ms
(/ (+ x 4.0) y)
6.0ms
(* (/ x y) z)

simplify1.0s

Counts
88 → 88
Iterations

Useful iterations: 3 (398.0ms)

IterNodesCost
0143904
1344861
21074795
34024785
done5000785

prune144.0ms

Filtered
68 candidates to 88 candidates (-29.4%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New82688
Fresh000
Picked101
Done000
Total83689

Merged error: 0b

Counts
89 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (+ x 4.0))
0.0b
(- (/ 1 (/ y (+ x 4.0))) (* (/ x y) z))
0.1b
(/ 1 (/ y (+ x 4.0)))
4.0b
(* (/ x y) z)

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
124×times-frac
104×*-un-lft-identity
77×add-sqr-sqrt
72×add-cube-cbrt
22×add-exp-log associate-/r*
16×add-cbrt-cube distribute-lft-out
13×associate-*l*
11×associate-/r/
9×div-exp
7×pow1 div-inv
6×associate-/l* add-log-exp
5×cbrt-undiv flip3-+ flip-+
3×associate-*r*
2×rec-exp frac-2neg 1-exp associate-*l/ prod-exp clear-num cbrt-unprod unswap-sqr
1×sub-neg flip3-- pow-flip diff-log pow-prod-down *-commutative frac-sub flip-- inv-pow
Counts
4 → 174
Calls
4 calls:
6.0ms
(/ y (+ x 4.0))
24.0ms
(- (/ 1 (/ y (+ x 4.0))) (* (/ x y) z))
9.0ms
(/ 1 (/ y (+ x 4.0)))
7.0ms
(* (/ x y) z)

series27.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(/ y (+ x 4.0))
10.0ms
(- (/ 1 (/ y (+ x 4.0))) (* (/ x y) z))
5.0ms
(/ 1 (/ y (+ x 4.0)))
6.0ms
(* (/ x y) z)

simplify613.0ms

Counts
186 → 186
Iterations

Useful iterations: done (608.0ms)

IterNodesCost
02762441
16542177
223271979
done50011853

prune206.0ms

Filtered
110 candidates to 186 candidates (-69.1%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1851186
Fresh145
Picked011
Done000
Total1866192

Merged error: 0b

Counts
192 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (+ x 4.0))
0.0b
(- (/ 1 (/ y (+ x 4.0))) (/ z (/ y x)))
0.1b
(/ 1 (/ y (+ x 4.0)))
4.4b
(/ z (/ y x))

rewrite150.0ms

Algorithm
rewrite-expression-head
Rules
251×times-frac
185×*-un-lft-identity
167×add-sqr-sqrt
110×add-cube-cbrt
35×associate-/r*
22×add-exp-log
19×distribute-lft-out
16×add-cbrt-cube
15×div-inv difference-of-squares
13×associate-/r/
11×div-exp distribute-lft-out--
9×associate-/l*
7×cbrt-undiv
6×add-log-exp
5×pow1 flip3-+ flip-+
3×frac-2neg clear-num
2×rec-exp 1-exp
1×sub-neg flip3-- pow-flip diff-log frac-sub flip-- inv-pow
Counts
4 → 238
Calls
4 calls:
6.0ms
(/ y (+ x 4.0))
112.0ms
(- (/ 1 (/ y (+ x 4.0))) (/ z (/ y x)))
9.0ms
(/ 1 (/ y (+ x 4.0)))
6.0ms
(/ z (/ y x))

series27.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(/ y (+ x 4.0))
10.0ms
(- (/ 1 (/ y (+ x 4.0))) (/ z (/ y x)))
5.0ms
(/ 1 (/ y (+ x 4.0)))
6.0ms
(/ z (/ y x))

simplify696.0ms

Counts
250 → 250
Iterations

Useful iterations: done (683.0ms)

IterNodesCost
03863713
18923373
230543147
done50002986

prune282.0ms

Filtered
159 candidates to 250 candidates (-57.2%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New2491250
Fresh134
Picked101
Done011
Total2515256

Merged error: 0b

Counts
256 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (+ x 4.0))
0.1b
(/ 1 (/ y (+ x 4.0)))
0.9b
(/ 1 (/ y x))
4.0b
(* z (/ 1 (/ y x)))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
261×times-frac
176×*-un-lft-identity
156×add-sqr-sqrt
142×add-cube-cbrt
47×add-exp-log
44×associate-*r*
35×associate-/r*
25×add-cbrt-cube
22×div-exp
16×distribute-lft-out
15×div-inv
13×associate-/r/
10×cbrt-undiv
9×associate-/l*
8×pow1
7×prod-exp
6×rec-exp 1-exp
5×flip3-+ flip-+ unswap-sqr
4×add-log-exp
3×frac-2neg associate-*l* clear-num cbrt-unprod
2×pow-flip inv-pow
1×associate-*r/ pow-prod-down un-div-inv *-commutative
Counts
4 → 278
Calls
4 calls:
6.0ms
(/ y (+ x 4.0))
12.0ms
(/ 1 (/ y (+ x 4.0)))
7.0ms
(/ 1 (/ y x))
16.0ms
(* z (/ 1 (/ y x)))

series20.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(/ y (+ x 4.0))
5.0ms
(/ 1 (/ y (+ x 4.0)))
3.0ms
(/ 1 (/ y x))
6.0ms
(* z (/ 1 (/ y x)))

simplify683.0ms

Counts
290 → 290
Iterations

Useful iterations: done (675.0ms)

IterNodesCost
03743582
19013053
229512638
done50002518

prune512.0ms

Filtered
163 candidates to 290 candidates (-77.9%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New2900290
Fresh033
Picked011
Done011
Total2905295

Merged error: 0b

Counts
295 → 5

regimes178.0ms

Accuracy

62.7% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 1.7b

bsearch48.0ms

Steps
ItersRangePoint
9
5.405663935890789e-124
9.656341012194637e-119
6.179403708429142e-119
10
-2.235340457316152e+91
-4.0587864488788856e+74
-6.358633502866834e+78

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
02042
12631
done2631

end0.0ms

sample834.0ms

Algorithm
intervals
Results
417.0ms10198×body80valid

Profiling

Loading profile data...