Details

Time bar (total: 13.1s)

sample22.0ms

Algorithm
intervals
Results
8.0ms305×body80valid

simplify105.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1167
2227
3337
4367
5427
6467
7547
8557
done557

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.1b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ y z))
9.6b
(/ (* x (+ y z)) z)

rewrite70.0ms

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:
39.0ms
(* x (+ y z))
28.0ms
(/ (* x (+ y z)) z)

series97.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(* x (+ y z))
52.0ms
(/ (* x (+ y z)) z)

simplify2.8s

Counts
52 → 52
Iterations

Useful iterations: 2 (153.0ms)

IterNodesCost
085458
1226434
2786376
33636376
done5000376

prune145.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ y z))
1.9b
(/ x (/ z (+ y z)))

rewrite40.0ms

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:
12.0ms
(/ z (+ y z))
23.0ms
(/ x (/ z (+ y z)))

series109.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ z (+ y z))
63.0ms
(/ x (/ z (+ y z)))

simplify2.7s

Counts
129 → 129
Iterations

Useful iterations: 3 (1.5s)

IterNodesCost
01871758
14001632
213371564
342771558
done50001558

prune314.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ y z))
0.5b
(cbrt z)
0.5b
(cbrt z)
0.5b
(cbrt z)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
13×cbrt-prod
10×*-un-lft-identity
8×add-sqr-sqrt add-cube-cbrt
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
2×cbrt-div
1×flip3-+ flip-+ distribute-lft-out
Counts
4 → 47
Calls
4 calls:
4.0ms
(cbrt (+ y z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series988.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(cbrt (+ y z))
239.0ms
(cbrt z)
286.0ms
(cbrt z)
291.0ms
(cbrt z)

simplify2.2s

Counts
59 → 59
Iterations

Useful iterations: 3 (209.0ms)

IterNodesCost
073356
1151335
2316309
3693295
41850295
done5001295

prune282.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ y z) z)
2.2b
(* x (/ (+ y z) z))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
25×add-sqr-sqrt times-frac
20×add-cube-cbrt
16×associate-*r*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out
4×pow1 associate-/l*
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg flip3-+ associate-*r/ pow-prod-down clear-num *-commutative flip-+
Counts
2 → 68
Calls
2 calls:
19.0ms
(/ (+ y z) z)
46.0ms
(* x (/ (+ y z) z))

series80.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ (+ y z) z)
55.0ms
(* x (/ (+ y z) z))

simplify1.7s

Counts
74 → 74
Iterations

Useful iterations: 2 (144.0ms)

IterNodesCost
097719
1229681
2650619
31883619
done5000619

prune170.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes167.0ms

Accuracy

42.8% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 2.9b

bsearch1.0ms

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01441
12035
done2035

end0.0ms

sample940.0ms

Algorithm
intervals
Results
430.0ms9504×body80valid