Details

Time bar (total: 3.4s)

sample27.0ms

Algorithm
intervals
Results
15.0ms313×body80valid

simplify418.0ms

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

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
*-un-lft-identity
associate-*l*
pow1 add-exp-log add-cube-cbrt add-cbrt-cube add-log-exp
associate-*r*
associate-*l/
+-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:
25.0ms
(+ (* x y) (* (- 1.0 x) z))
33.0ms
(* (- 1.0 x) z)

series97.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(+ (* x y) (* (- 1.0 x) z))
58.0ms
(* (- 1.0 x) z)

simplify2.5s

Counts
39 → 39
Iterations

Useful iterations: 2 (139.0ms)

IterNodesCost
071405
1185379
2676345
33001345
done5001345

prune140.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (- 1.0 x) z)) (cbrt (* (- 1.0 x) z)))
0.6b
(cbrt (* (- 1.0 x) z))
0.6b
(cbrt (* (- 1.0 x) z))
0.6b
(cbrt (* (- 1.0 x) z))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*l/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
flip3-- pow1/3 flip--
add-cube-cbrt *-un-lft-identity
cbrt-prod
add-exp-log
frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
associate-*r/ pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
61.0ms
(* (cbrt (* (- 1.0 x) z)) (cbrt (* (- 1.0 x) z)))
16.0ms
(cbrt (* (- 1.0 x) z))
13.0ms
(cbrt (* (- 1.0 x) z))
17.0ms
(cbrt (* (- 1.0 x) z))

series32.0ms