Details

Time bar (total: 4.2s)

sample37.0ms

Algorithm
intervals
Results
18.0ms353×body80valid

simplify75.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06123
112123
231123
361123
478123
585123
done85123

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b
(* (* x y) (- 1.0 y))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-cbrt-cube add-exp-log
5×associate-*r*
4×add-sqr-sqrt *-un-lft-identity
3×pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/ add-cube-cbrt
1×flip3-- associate-*l* *-commutative flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 26
Calls
1 calls:
44.0ms
(* (* x y) (- 1.0 y))

series58.0ms

Counts
1 → 3
Calls
1 calls:
58.0ms
(* (* x y) (- 1.0 y))

simplify3.0s

Counts
29 → 29
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
0606395
11745329
25695249
328304849
done50764849

prune147.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
0.2b
(cbrt (- 1.0 y))
0.2b
(cbrt (- 1.0 y))
0.2b
(cbrt (- 1.0 y))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 101
Calls
4 calls:
53.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
6.0ms
(cbrt (- 1.0 y))
11.0ms
(cbrt (- 1.0 y))
7.0ms
(cbrt (- 1.0 y))

series497.0ms

Counts
4 → 12
Calls
4 calls:
135.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
104.0ms
(cbrt (- 1.0 y))
118.0ms
(cbrt (- 1.0 y))
138.0ms
(cbrt (- 1.0 y))

simplify148.0ms

Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
015043762