Details

Time bar (total: 8.3s)

sample21.0ms

Algorithm
intervals
Results
7.0ms296×body80valid

simplify41.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
1167
2217
3327
4357
5417
6457
7537
8557
done557

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 13.1b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ y z))
12.3b
(/ (* x (+ y z)) z)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt *-un-lft-identity
6×add-cube-cbrt
4×pow1 associate-*r/ associate-*r*
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ associate-/l/ add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 46
Calls
2 calls:
6.0ms
(* x (+ y z))
7.0ms
(/ (* x (+ y z)) z)

series17.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* x (+ y z))
10.0ms
(/ (* x (+ y z)) z)

simplify1.8s

Counts
52 → 52
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
085458
1225434
2723376
33131376
done5000376

prune69.0ms

Filtered
35 candidates to 52 candidates (-48.6%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New46652
Fresh000
Picked101
Done000
Total47653

Merged error: 0.0b

Counts
53 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ y z))
3.2b
(/ x (/ z (+ y z)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
94×*-un-lft-identity
62×add-sqr-sqrt add-cube-cbrt
22×associate-/r*
16×distribute-lft-out
11×associate-/r/
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-+ flip-+
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
Counts
2 → 123
Calls
2 calls:
5.0ms
(/ z (+ y z))
8.0ms
(/ x (/ z (+ y z)))

series16.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(/ z (+ y z))
10.0ms
(/ x (/ z (+ y z)))

simplify1.9s

Counts
129 → 129
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01871758
14141632
213401564
done50001558

prune110.0ms

Filtered
92 candidates to 129 candidates (-40.2%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1272129
Fresh235
Picked011
Done000
Total1296135

Merged error: 0b

Counts
135 → 6

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ z (+ y z))
0.2b
(/ 1 (/ (/ z (+ y z)) x))
3.2b
(/ (/ z (+ y z)) x)

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
648×times-frac
398×*-un-lft-identity
294×add-sqr-sqrt add-cube-cbrt
65×associate-/r*
52×distribute-lft-out
35×associate-/r/
31×add-exp-log
24×associate-/l*
23×div-inv
19×div-exp add-cbrt-cube
17×flip3-+ flip-+
10×cbrt-undiv
4×pow1
3×rec-exp frac-2neg 1-exp clear-num add-log-exp
1×pow-flip associate-/l/ inv-pow
Counts
3 → 383
Calls
3 calls:
5.0ms
(/ z (+ y z))
17.0ms
(/ 1 (/ (/ z (+ y z)) x))
12.0ms
(/ (/ z (+ y z)) x)

series31.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(/ z (+ y z))
14.0ms
(/ 1 (/ (/ z (+ y z)) x))
11.0ms
(/ (/ z (+ y z)) x)

simplify1.5s

Counts
392 → 392
Iterations

Useful iterations: done (1.5s)

IterNodesCost
04927266
112216263
225285535
done50005497

prune204.0ms

Filtered
193 candidates to 392 candidates (-103.1%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New3920392
Fresh044
Picked011
Done011
Total3926398

Merged error: 0b

Counts
398 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (* x y) z))
6.1b
(/ (* x y) z)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
7×add-exp-log add-cbrt-cube
6×*-un-lft-identity
4×add-sqr-sqrt add-cube-cbrt add-log-exp
3×times-frac associate-/r*
2×pow1 cbrt-undiv div-exp
1×+-commutative frac-2neg flip3-+ prod-exp clear-num sum-log cbrt-unprod flip-+ div-inv distribute-lft-out associate-/l*
Counts
2 → 33
Calls
2 calls:
5.0ms
(+ x (/ (* x y) z))
5.0ms
(/ (* x y) z)

series12.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(+ x (/ (* x y) z))
5.0ms
(/ (* x y) z)

simplify1.6s

Counts
39 → 39
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
067359
1171333
2534301
32527301
done5001301

prune29.0ms

Filtered
26 candidates to 39 candidates (-50.0%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New39039
Fresh033
Picked011
Done022
Total39645

Merged error: 0b

Counts
45 → 6

regimes188.0ms

Accuracy

43.3% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 3.3b

bsearch36.0ms

Steps
ItersRangePoint
7
14848.343200454
602010.8647626698
25947.630406955814
10
-5.590082551980238e+120
-2.4478686666901204e+110
-3.5585009134455516e+110

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01529
12123
done2123

end0.0ms

sample616.0ms

Algorithm
intervals
Results
247.0ms9538×body80valid

Profiling

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