Details

Time bar (total: 8.6s)

sample18.0ms

Algorithm
intervals
Results
7.0ms322×body80valid

simplify277.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1139
2209
3349
4479
5559
6669
7879
81209
91499
101699
111809
121989
132079
done2079

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x y) (* (- 1.0 x) z))
0.0b
(* (- 1.0 x) z)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*l*
4×pow1 add-exp-log add-cube-cbrt add-cbrt-cube add-log-exp
3×associate-*r*
2×associate-*l/
1×+-commutative flip3-- flip3-+ pow-prod-down prod-exp sum-log *-commutative flip-- cbrt-unprod flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 33
Calls
2 calls:
9.0ms
(+ (* x y) (* (- 1.0 x) z))
23.0ms
(* (- 1.0 x) z)

series64.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(+ (* x y) (* (- 1.0 x) z))
31.0ms
(* (- 1.0 x) z)

simplify1.7s

Counts
39 → 39
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
071405
1185379
2676345
33001345
done5001345

prune71.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
10.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series779.0ms

Counts
4 → 12
Calls
4 calls:
204.0ms
(* (cbrt z) (cbrt z))
192.0ms
(cbrt z)
201.0ms
(cbrt z)
182.0ms
(cbrt z)

simplify3.5s

Counts
85 → 85
Iterations

Useful iterations: done (3.5s)

IterNodesCost
061524
1115417
2319397
31092379
44427374
done5001364

prune194.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x y) (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
3.1b
(* (- (* 1.0 1.0) (* x x)) z)
6.6b
(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
10×add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt
5×pow1 add-log-exp
4×times-frac associate-*l* associate-*l/ associate-/r*
3×associate-*r*
2×cbrt-undiv flip3-- flip3-+ div-exp prod-exp associate-/r/ flip-- cbrt-unprod flip-+ associate-/l/ distribute-lft-out
1×+-commutative frac-2neg pow-prod-down clear-num sum-log *-commutative div-inv associate-/l* difference-of-squares unswap-sqr
Counts
3 → 59
Calls
3 calls:
23.0ms
(+ (* x y) (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
25.0ms
(* (- (* 1.0 1.0) (* x x)) z)
24.0ms
(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

series156.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(+ (* x y) (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
43.0ms
(* (- (* 1.0 1.0) (* x x)) z)
56.0ms
(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

simplify956.0ms

Counts
68 → 68
Iterations

Useful iterations: done (954.0ms)

IterNodesCost
01221163
13651086
21521948
done5000764

prune133.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes63.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1119
done119

end0.0ms

sample478.0ms

Algorithm
intervals
Results
213.0ms10068×body80valid