Details

Time bar (total: 16.0s)

sample34.0ms

Algorithm
intervals
Results
8.0ms226×body80valid
6.0ms32×body1280valid
3.0ms27×body640valid
2.0ms21×body320valid
1.0ms5×body2560valid
1.0ms13×body160valid

simplify7.4s

Counts
1 → 1
Iterations

Useful iterations: 3 (62.0ms)

IterNodesCost
09243
120243
251124
313283
434083
5139083
6481783
done500083

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (- x z) y)

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
5×*-un-lft-identity associate-*l*
3×pow1 add-cbrt-cube associate-*r* add-exp-log add-cube-cbrt
2×associate-*l/
1×flip3-- pow-prod-down prod-exp *-commutative cbrt-unprod flip-- distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
Counts
1 → 22
Calls
1 calls:
36.0ms
(* (- x z) y)

series34.0ms

Counts
1 → 3
Calls
1 calls:
34.0ms
(* (- x z) y)

simplify1.7s

Counts
25 → 25
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
0493894
11103442
23023362
311513362
done50003362

prune127.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
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:
14.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series1.1s

Counts
4 → 12
Calls
4 calls:
272.0ms
(* (cbrt y) (cbrt y))
285.0ms
(cbrt y)
299.0ms
(cbrt y)
275.0ms
(cbrt y)

simplify3.8s

Counts
85 → 85
Iterations

Useful iterations: done (3.8s)

IterNodesCost
06117134
113614621
237714346
397113666
4311413666
done502813626

prune457.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- x z) y)
0.2b
(* (sqrt (* (- x z) y)) (sqrt (* (- x z) y)))
3.2b
(sqrt (* (- x z) y))
3.2b
(sqrt (* (- x z) y))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
32×sqrt-pow1
23×pow-prod-down
20×associate-*l/
16×add-sqr-sqrt sqrt-div
12×*-un-lft-identity pow1/2
10×pow-prod-up add-cube-cbrt
9×flip3-- associate-*l* flip--
8×add-cbrt-cube add-exp-log
7×associate-*r*
6×pow-sqr sqrt-prod
4×frac-times swap-sqr add-log-exp
2×prod-exp associate-*r/ *-commutative cbrt-unprod unswap-sqr
1×pow2 rem-square-sqrt pow-plus sqrt-unprod distribute-lft-out-- difference-of-squares
Counts
4 → 105
Calls
4 calls:
17.0ms
(* (- x z) y)
68.0ms
(* (sqrt (* (- x z) y)) (sqrt (* (- x z) y)))
6.0ms
(sqrt (* (- x z) y))
6.0ms
(sqrt (* (- x z) y))

series793.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* (- x z) y)
89.0ms
(* (sqrt (* (- x z) y)) (sqrt (* (- x z) y)))
346.0ms
(sqrt (* (- x z) y))
321.0ms
(sqrt (* (- x z) y))

simplify242.0ms

Iterations

Useful iterations: 1 (101.0ms)

IterNodesCost
012625443
129018539