Details

Time bar (total: 9.9s)

sample29.0ms

Algorithm
intervals
Results
15.0ms322×body80valid

simplify392.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1139
2209
3349
4499
5569
6629
7799
81069
91309
101649
111929
122059
132149
done2149

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- x 1.0) z)
0.0b
(+ (* x y) (* (- x 1.0) 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:
22.0ms
(* (- x 1.0) z)
10.0ms
(+ (* x y) (* (- x 1.0) z))

series108.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(* (- x 1.0) z)
54.0ms
(+ (* x y) (* (- x 1.0) z))

simplify2.6s

Counts
39 → 39
Iterations

Useful iterations: 2 (154.0ms)

IterNodesCost
071405
1187373
2675345
32946345
done5000345

prune103.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* x y) (* (- x 1.0) z))) (cbrt (+ (* x y) (* (- x 1.0) z))))
0.5b
(cbrt (+ (* x y) (* (- x 1.0) z)))
0.5b
(cbrt (+ (* x y) (* (- x 1.0) z)))
0.5b
(cbrt (+ (* x y) (* (- x 1.0) z)))

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
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 → 87
Calls
4 calls:
91.0ms
(* (cbrt (+ (* x y) (* (- x 1.0) z))) (cbrt (+ (* x y) (* (- x 1.0) z))))
10.0ms
(cbrt (+ (* x y) (* (- x 1.0) z)))
10.0ms
(cbrt (+ (* x y) (* (- x 1.0) z)))
8.0ms
(cbrt (+ (* x y) (* (- x 1.0) z)))

series1.1s

Counts
4 → 12
Calls
4 calls:
336.0ms
(* (cbrt (+ (* x y) (* (- x 1.0) z))) (cbrt (+ (* x y) (* (- x 1.0) z))))
254.0ms
(cbrt (+ (* x y) (* (- x 1.0) z)))
224.0ms
(cbrt (+ (* x y) (* (- x 1.0) z)))
281.0ms
(cbrt (+ (* x y) (* (- x 1.0) z)))

simplify2.3s

Counts
99 → 99
Iterations

Useful iterations: done (2.3s)

IterNodesCost
01322479
13172308
28402128
325101908
done50011862

prune384.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ (* x y) (* (- x 1.0) z)))
0.6b
(cbrt (- (* x y) (* (- x 1.0) z)))
1.9b
(- (* (* x y) (* x y)) (* (* (- x 1.0) z) (* (- x 1.0) z)))
27.7b
(cbrt (- (* (* x y) (* x y)) (* (* (- x 1.0) z) (* (- x 1.0) z))))

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
10×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-div add-log-exp
4×pow1 add-exp-log add-cbrt-cube
3×flip3-- pow1/3 flip--
2×difference-of-squares
1×sub-neg flip3-+ diff-log flip-+
Counts
4 → 53
Calls
4 calls:
10.0ms
(cbrt (+ (* x y) (* (- x 1.0) z)))
12.0ms
(cbrt (- (* x y) (* (- x 1.0) z)))
41.0ms
(- (* (* x y) (* x y)) (* (* (- x 1.0) z) (* (- x 1.0) z)))
58.0ms
(cbrt (- (* (* x y) (* x y)) (* (* (- x 1.0) z) (* (- x 1.0) z))))

series1.0s

Counts
4 → 12
Calls
4 calls:
273.0ms
(cbrt (+ (* x y) (* (- x 1.0) z)))
237.0ms
(cbrt (- (* x y) (* (- x 1.0) z)))
133.0ms
(- (* (* x y) (* x y)) (* (* (- x 1.0) z) (* (- x 1.0) z)))
395.0ms
(cbrt (- (* (* x y) (* x y)) (* (* (- x 1.0) z) (* (- x 1.0) z))))

simplify1.1s

Counts
65 → 65
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01631655
14041561
212911351
done50011316

prune370.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes2.0ms