Details

Time bar (total: 14.9s)

sample25.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
6.0ms267×body80nan

simplify1.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044
154
done54

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(sqrt (+ x y))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
4×*-un-lft-identity sqrt-prod
2×pow1 add-cube-cbrt sqrt-div
1×add-exp-log expm1-log1p-u rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 add-cbrt-cube flip-+ hypot-def log1p-expm1-u distribute-lft-out add-log-exp
Counts
1 → 19
Calls
1 calls:
12.0ms
(sqrt (+ x y))

series63.0ms

Counts
1 → 3
Calls
1 calls:
63.0ms
(sqrt (+ x y))

simplify6.3s

Counts
22 → 22
Iterations

Useful iterations: 5 (2.0s)

IterNodesCost
055184
1124160
2268155
3571145
41140142
51931141
63367141
done5001141

prune47.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x y))
0.1b
(sqrt (sqrt (+ x y)))
0.1b
(sqrt (sqrt (+ x y)))
0.5b
(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
110×sqrt-prod
58×add-sqr-sqrt
41×*-un-lft-identity sqrt-pow1
34×sqrt-div
32×pow1
21×add-cube-cbrt pow1/2
18×swap-sqr
10×associate-*r* associate-*l*
9×flip3-+ pow-prod-up flip-+ distribute-lft-out unswap-sqr
6×add-exp-log add-cbrt-cube
5×rem-sqrt-square pow-prod-down pow-sqr
4×expm1-log1p-u frac-times log1p-expm1-u add-log-exp
2×associate-*r/ associate-*l/
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod hypot-def
Counts
4 → 157
Calls
4 calls:
8.0ms
(sqrt (+ x y))
9.0ms
(sqrt (sqrt (+ x y)))
16.0ms
(sqrt (sqrt (+ x y)))
67.0ms
(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

series709.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(sqrt (+ x y))
270.0ms
(sqrt (sqrt (+ x y)))
314.0ms
(sqrt (sqrt (+ x y)))
60.0ms
(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

simplify2.8s

Counts
169 → 169
Iterations

Useful iterations: done (2.8s)

IterNodesCost
01682244
13431407
28931335
324551292
done50011266

prune457.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (sqrt (sqrt (+ x y))) (sqrt (* (pow (sqrt (cbrt (sqrt (+ x y)))) 4) (cbrt (sqrt (+ x y))))))
0.6b
(cbrt (sqrt (+ x y)))
0.6b
(cbrt (sqrt (+ x y)))
0.9b
(pow (sqrt (cbrt (sqrt (+ x y)))) 4)

rewrite197.0ms

Algorithm
rewrite-expression-head
Rules
37×sqrt-prod
28×sqrt-div
25×*-un-lft-identity
23×add-sqr-sqrt
21×cbrt-prod
17×add-cube-cbrt
13×unpow-prod-down
10×pow1 cbrt-div associate-*l*
8×flip3-+ associate-*r/ flip-+
7×add-exp-log
6×add-cbrt-cube
4×expm1-log1p-u frac-times pow-pow sqrt-pow1 associate-*r* log1p-expm1-u distribute-lft-out add-log-exp
3×pow-unpow pow1/2 pow1/3 pow-prod-down unswap-sqr
2×associate-*l/
1×pow-to-exp sqrt-unprod pow-exp prod-exp *-commutative sqrt-pow2 cbrt-unprod sqr-pow
Counts
4 → 112
Calls
4 calls:
159.0ms
(* (sqrt (sqrt (+ x y))) (sqrt (* (pow (sqrt (cbrt (sqrt (+ x y)))) 4) (cbrt (sqrt (+ x y))))))
6.0ms
(cbrt (sqrt (+ x y)))
11.0ms
(cbrt (sqrt (+ x y)))
14.0ms
(pow (sqrt (cbrt (sqrt (+ x y)))) 4)

series645.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* (sqrt (sqrt (+ x y))) (sqrt (* (pow (sqrt (cbrt (sqrt (+ x y)))) 4) (cbrt (sqrt (+ x y))))))
158.0ms
(cbrt (sqrt (+ x y)))
200.0ms
(cbrt (sqrt (+ x y)))
242.0ms
(pow (sqrt (cbrt (sqrt (+ x y)))) 4)

simplify2.8s

Counts
124 → 124
Iterations

Useful iterations: done (2.8s)

IterNodesCost
02182201
14702028
211091627
328591336
done50011269

prune630.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes1.0ms