Details

Time bar (total: 3.2s)

sample27.0ms

Algorithm
intervals
Results
15.0ms293×body80valid

simplify36.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1137
2317
3567
4577
done577

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (* (* y 4.0) z))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg flip3-- *-un-lft-identity diff-log add-cbrt-cube flip--
Counts
1 → 12
Calls
1 calls:
6.0ms
(- x (* (* y 4.0) z))

series86.0ms

Counts
1 → 3
Calls
1 calls:
86.0ms
(- x (* (* y 4.0) z))

simplify2.9s

Counts
15 → 15
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
032172
184165
2285151
31323151
done5000151

prune41.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* (* y 4.0) z))
0.0b
(sqrt (- x (* (* y 4.0) z)))
0.0b
(sqrt (- x (* (* y 4.0) z)))
0.3b
(* (sqrt (- x (* (* y 4.0) z))) (sqrt (- x (* (* y 4.0) z))))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
16×sqrt-div
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
9×flip3-- flip--
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube add-log-exp
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-*r/ associate-*l/
1×pow2 sub-neg pow-plus sqrt-unprod diff-log prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 99
Calls
4 calls:
6.0ms
(- x (* (* y 4.0) z))
6.0ms
(sqrt (- x (* (* y 4.0) z)))
6.0ms
(sqrt (- x (* (* y 4.0) z)))
39.0ms
(* (sqrt (- x (* (* y 4.0) z))) (sqrt (- x (* (* y 4.0) z))))

series57.0ms