Details

Time bar (total: 13.4s)

sample41.0ms

Algorithm
intervals
Results
18.0ms313×body80valid

simplify79.0ms

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: 13.4b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ y z))
12.6b
(/ (* x (+ y z)) z)

rewrite65.0ms

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:
37.0ms
(* x (+ y z))
27.0ms
(/ (* x (+ y z)) z)

series79.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(* x (+ y z))
40.0ms
(/ (* x (+ y z)) z)

simplify2.7s

Counts
52 → 52
Iterations

Useful iterations: 2 (166.0ms)

IterNodesCost
085458
1226434
2786376
33636376
done5000376

prune143.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ y z))
2.9b
(/ x (/ z (+ y z)))

rewrite36.0ms

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))
18.0ms
(/ x (/ z (+ y z)))

series112.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ z (+ y z))
67.0ms
(/ x (/ z (+ y z)))

simplify2.7s

Counts
129 → 129
Iterations

Useful iterations: 3 (1.4s)

IterNodesCost
01871758
14001632
213371564
342771558
done50001558

prune303.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ y z) z)
3.4b
(* x (/ (+ y z) z))

rewrite61.0ms

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:
23.0ms
(/ (+ y z) z)
35.0ms
(* x (/ (+ y z) z))

series74.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(/ (+ y z) z)
51.0ms
(* x (/ (+ y z) z))

simplify1.8s

Counts
74 → 74
Iterations

Useful iterations: 2 (120.0ms)

IterNodesCost
097719
1229681
2650619
31883619
done5000619

prune214.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

10.8b
(* (/ x z) (+ y z))

rewrite35.0ms

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:
34.0ms
(* (/ x z) (+ y z))

series62.0ms

Counts
1 → 3
Calls
1 calls:
62.0ms
(* (/ x z) (+ y z))

simplify3.3s

Counts
42 → 42
Iterations

Useful iterations: 3 (1.9s)

IterNodesCost
090430
1315419
2965377
33558369
done5000369

prune89.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes116.0ms

Accuracy

9.9% (2.9b remaining)

Error of 2.9b against oracle of 0.0b and baseline of 3.2b

bsearch60.0ms

Steps
ItersRangePoint
6
7.626931455447012e-185
3.212064254417963e-184
2.717641103527439e-184
9
-4.6686928686642085e-12
-7.157313528849525e-18
-8.331413587881853e-18

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01831
12431
done2431

end0.0ms

sample1.3s

Algorithm
intervals
Results
364.0ms9623×body80valid