Details

Time bar (total: 13.8s)

sample35.0ms

Algorithm
intervals
Results
14.0ms313×body80valid

simplify54.0ms

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: 12.8b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ y z))
12.2b
(/ (* x (+ y z)) z)

rewrite36.0ms

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:
20.0ms
(* x (+ y z))
15.0ms
(/ (* x (+ y z)) z)

series97.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(* x (+ y z))
68.0ms
(/ (* x (+ y z)) z)

simplify2.5s

Counts
52 → 52
Iterations

Useful iterations: 2 (147.0ms)

IterNodesCost
085458
1226434
2786376
33636376
done5000376

prune110.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite41.0ms

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:
19.0ms
(/ z (+ y z))
17.0ms
(/ x (/ z (+ y z)))

series140.0ms

Counts
2 → 6
Calls
2 calls:
72.0ms
(/ z (+ y z))
68.0ms
(/ x (/ z (+ y z)))

simplify2.7s

Counts
129 → 129
Iterations

Useful iterations: 3 (1.4s)

IterNodesCost
01871758
14001632
213371564
342771558
done50001558

prune367.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ y z))
0.5b
(cbrt (+ y z))
0.5b
(cbrt (+ y z))
0.6b
(* (cbrt (+ y z)) (cbrt (+ y z)))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
8.0ms
(cbrt (+ y z))
7.0ms
(cbrt (+ y z))
7.0ms
(cbrt (+ y z))
53.0ms
(* (cbrt (+ y z)) (cbrt (+ y z)))

series822.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt (+ y z))
187.0ms
(cbrt (+ y z))
194.0ms
(cbrt (+ y z))
259.0ms
(* (cbrt (+ y z)) (cbrt (+ y z)))

simplify2.9s

Counts
107 → 107
Iterations

Useful iterations: done (2.9s)

IterNodesCost
01161266
12491147
25891089
314161012
440881006
done5001967

prune459.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ y z) z)
4.2b
(* x (/ (+ y z) z))

rewrite67.0ms

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:
24.0ms
(/ (+ y z) z)
41.0ms
(* x (/ (+ y z) z))

series71.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(/ (+ y z) z)
50.0ms
(* x (/ (+ y z) z))

simplify2.1s

Counts
74 → 74
Iterations

Useful iterations: 2 (141.0ms)

IterNodesCost
097719
1229681
2650619
31883619
done5000619

prune179.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes92.0ms

Accuracy

0% (1.1b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01225
11425
done1425

end0.0ms

sample940.0ms

Algorithm
intervals
Results
430.0ms9595×body80valid