Details

Time bar (total: 5.2s)

sample22.0ms

Algorithm
intervals
Results
11.0ms339×body80valid

simplify405.0ms

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

rewrite73.0ms

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:
30.0ms
(+ (* (- 1.0 x) y) (* x z))
41.0ms
(* (- 1.0 x) y)

series101.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(+ (* (- 1.0 x) y) (* x z))
55.0ms
(* (- 1.0 x) y)

simplify2.3s

Counts
39 → 39
Iterations

Useful iterations: 3 (916.0ms)

IterNodesCost
071405
1184375
2680347
33093345
done5000345

prune385.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*r*
4×pow1 add-exp-log distribute-rgt-in add-cube-cbrt sub-neg associate-+l+ distribute-lft-in add-cbrt-cube add-log-exp
3×associate-*l*
2×associate-*r/
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 → 41
Calls
2 calls:
37.0ms
(* x (- z y))
20.0ms
(+ (* x (- z y)) (* y 1.0))

series99.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(* x (- z y))
41.0ms
(+ (* x (- z y)) (* y 1.0))

simplify1.6s

Counts
47 → 47
Iterations

Useful iterations: 3 (615.0ms)

IterNodesCost
078463
1197437
2603391
32498389
done5001389

prune86.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* x (- z y))) (cbrt (* x (- z y))))
3.9b
(cbrt (* x (- z y)))
3.9b
(cbrt (* x (- z y)))
3.9b
(cbrt (* x (- z y)))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-- pow1/3 flip--
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
29.0ms
(* (cbrt (* x (- z y))) (cbrt (* x (- z y))))
8.0ms
(cbrt (* x (- z y)))
8.0ms
(cbrt (* x (- z y)))
8.0ms
(cbrt (* x (- z y)))

series31.0ms