Details

Time bar (total: 12.8s)

sample33.0ms

Algorithm
intervals
Results
14.0ms302×body80valid

simplify70.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1167
2227
3337
4367
5427
6467
7547
8557
done557

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.4b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ y z))
11.8b
(/ (* x (+ y z)) z)

rewrite44.0ms

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:
25.0ms
(* x (+ y z))
17.0ms
(/ (* x (+ y z)) z)

series93.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(* x (+ y z))
57.0ms
(/ (* x (+ y z)) z)

simplify2.6s

Counts
52 → 52
Iterations

Useful iterations: 2 (165.0ms)

IterNodesCost
085458
1226434
2786376
33636376
done5000376

prune129.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ y z))
2.5b
(/ x (/ z (+ y z)))

rewrite45.0ms

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:
17.0ms
(/ z (+ y z))
17.0ms
(/ x (/ z (+ y z)))

series141.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(/ z (+ y z))
78.0ms
(/ x (/ z (+ y z)))

simplify2.9s

Counts
129 → 129
Iterations

Useful iterations: 3 (1.5s)

IterNodesCost
01871758
14001632
213371564
342771558
done50001558

prune351.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ y z) z)
3.0b
(* x (/ (+ y z) z))

rewrite81.0ms

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:
27.0ms
(/ (+ y z) z)
50.0ms
(* x (/ (+ y z) z))

series67.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(/ (+ y z) z)
47.0ms
(* x (/ (+ y z) z))

simplify1.7s

Counts
74 → 74
Iterations

Useful iterations: 2 (118.0ms)

IterNodesCost
097719
1229681
2650619
31883619
done5000619

prune144.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

11.1b
(* (/ x z) (+ y z))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*l*
11×*-un-lft-identity
10×times-frac
9×add-cube-cbrt
6×add-exp-log add-cbrt-cube
4×associate-*r*
3×pow1
2×frac-times flip3-+ associate-*r/ prod-exp cbrt-unprod flip-+ unswap-sqr
1×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp pow-prod-down associate-*l/ *-commutative div-inv distribute-lft-out add-log-exp
Counts
1 → 39
Calls
1 calls:
46.0ms
(* (/ x z) (+ y z))

series67.0ms

Counts
1 → 3
Calls
1 calls:
67.0ms
(* (/ x z) (+ y z))

simplify3.0s

Counts
42 → 42
Iterations

Useful iterations: 3 (1.8s)

IterNodesCost
090430
1315419
2965377
33558369
done5000369

prune82.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes189.0ms

Accuracy

73.3% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 3.4b

bsearch1.0ms

simplify18.0ms

Iterations

Useful iterations: 4 (7.0ms)

IterNodesCost
02075
12669
22963
33557
43856
54156
64256
74356
done4356

end0.0ms

sample970.0ms

Algorithm
intervals
Results
443.0ms9589×body80valid