Details

Time bar (total: 9.4s)

sample17.0ms

Algorithm
intervals
Results
6.0ms302×body80valid

simplify47.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1167
2227
3337
4367
5427
6467
7547
8557
done557

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.7b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ y z))
11.2b
(/ (* x (+ y z)) z)

rewrite33.0ms

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:
18.0ms
(* x (+ y z))
13.0ms
(/ (* x (+ y z)) z)

series63.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(* x (+ y z))
38.0ms
(/ (* x (+ y z)) z)

simplify1.8s

Counts
52 → 52
Iterations

Useful iterations: 2 (89.0ms)

IterNodesCost
085458
1226434
2786376
33636376
done5000376

prune85.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ y z))
3.1b
(/ x (/ z (+ y z)))

rewrite31.0ms

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:
10.0ms
(/ z (+ y z))
15.0ms
(/ x (/ z (+ y z)))

series85.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(/ z (+ y z))
47.0ms
(/ x (/ z (+ y z)))

simplify1.9s

Counts
129 → 129
Iterations

Useful iterations: 3 (964.0ms)

IterNodesCost
01871758
14001632
213371564
342771558
done50001558

prune243.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (/ (* (cbrt (+ y z)) (cbrt (+ y z))) (* (cbrt z) (cbrt z))) (/ x (/ (cbrt z) (cbrt (+ y z)))))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite164.0ms

Algorithm
rewrite-expression-head
Rules
295×times-frac
174×add-sqr-sqrt *-un-lft-identity
152×cbrt-prod
149×associate-*r*
138×add-cube-cbrt
73×add-exp-log
39×add-cbrt-cube
27×cbrt-undiv div-exp prod-exp cbrt-unprod
18×distribute-lft-out
12×unswap-sqr
7×associate-/r/
6×pow1 cbrt-div
5×associate-*l* div-inv
4×add-log-exp
3×flip3-+ pow1/3 flip-+
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 241
Calls
4 calls:
144.0ms
(* (/ (* (cbrt (+ y z)) (cbrt (+ y z))) (* (cbrt z) (cbrt z))) (/ x (/ (cbrt z) (cbrt (+ y z)))))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series565.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(* (/ (* (cbrt (+ y z)) (cbrt (+ y z))) (* (cbrt z) (cbrt z))) (/ x (/ (cbrt z) (cbrt (+ y z)))))
177.0ms
(cbrt z)
179.0ms
(cbrt z)
176.0ms
(cbrt z)

simplify777.0ms

Counts
253 → 253
Iterations

Useful iterations: done (769.0ms)

IterNodesCost
04516876
114536425
done50015583

prune624.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 44
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series722.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(cbrt z)
177.0ms
(cbrt z)
182.0ms
(cbrt z)
179.0ms
(cbrt z)

simplify1.6s

Counts
56 → 56
Iterations

Useful iterations: 3 (30.0ms)

IterNodesCost
024260
142244
283220
3167208
4388208
51317208
done5000208

prune162.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes94.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01225
11425
done1425

end0.0ms

sample453.0ms

Algorithm
intervals
Results
193.0ms9601×body80valid