Details

Time bar (total: 14.7s)

sample50.0ms

Algorithm
intervals
Results
15.0ms321×body80nan
13.0ms276×body80valid

simplify500.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01010
12110
24710
37110
410310
512010
613310
714310
done14310

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* y (sqrt z)))
0.2b
(* y (sqrt z))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
6×associate-*r*
5×add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log sqrt-prod add-cbrt-cube add-log-exp
3×associate-*l*
2×unswap-sqr
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+
Counts
2 → 33
Calls
2 calls:
10.0ms
(+ x (* y (sqrt z)))
17.0ms
(* y (sqrt z))

series138.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(+ x (* y (sqrt z)))
80.0ms
(* y (sqrt z))

simplify3.6s

Counts
39 → 39
Iterations

Useful iterations: 4 (1.7s)

IterNodesCost
086362
1220323
2552297
31330288
43985283
done5000283

prune171.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt z))
0.1b
(sqrt (sqrt z))
0.3b
(* y (sqrt (sqrt z)))
0.3b
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
41×sqrt-prod
25×add-sqr-sqrt
18×associate-*r*
15×pow1 add-cube-cbrt *-un-lft-identity
11×add-exp-log add-cbrt-cube
8×sqrt-pow1
4×rem-sqrt-square pow1/2 associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
3×unswap-sqr
2×*-commutative
Counts
4 → 88
Calls
4 calls:
4.0ms
(sqrt (sqrt z))
3.0ms
(sqrt (sqrt z))
13.0ms
(* y (sqrt (sqrt z)))
56.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series490.0ms

Counts
4 → 12
Calls
4 calls:
189.0ms
(sqrt (sqrt z))
158.0ms
(sqrt (sqrt z))
94.0ms
(* y (sqrt (sqrt z)))
49.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify2.6s

Counts
100 → 100
Iterations

Useful iterations: done (2.6s)

IterNodesCost
0132915
1339716
2963650
32584634
done5000618

prune323.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sqrt (fabs (cbrt z))) (* y (sqrt (sqrt z))))
0.4b
(* (* (sqrt (fabs (cbrt z))) (* y (sqrt (sqrt z)))) (sqrt (sqrt (cbrt z))))
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite217.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log sqrt-prod add-cbrt-cube
13×associate-*r*
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×cbrt-prod pow-prod-down prod-exp cbrt-unprod
7×associate-*l*
4×add-log-exp
2×pow1/3 *-commutative
Counts
4 → 73
Calls
4 calls:
53.0ms
(* (sqrt (fabs (cbrt z))) (* y (sqrt (sqrt z))))
155.0ms
(* (* (sqrt (fabs (cbrt z))) (* y (sqrt (sqrt z)))) (sqrt (sqrt (cbrt z))))
1.0ms
(cbrt z)
2.0ms
(cbrt z)

series1.1s

Counts
4 → 12
Calls
4 calls:
198.0ms
(* (sqrt (fabs (cbrt z))) (* y (sqrt (sqrt z))))
331.0ms
(* (* (sqrt (fabs (cbrt z))) (* y (sqrt (sqrt z)))) (sqrt (sqrt (cbrt z))))
280.0ms
(cbrt z)
326.0ms
(cbrt z)

simplify1.4s

Counts
85 → 85
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01751279
14421111
21622993
done5000957

prune458.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* (sqrt (fabs (cbrt z))) y) (sqrt (sqrt z)))
0.4b
(* (* (* (sqrt (fabs (cbrt z))) y) (sqrt (sqrt z))) (sqrt (sqrt (cbrt z))))
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite214.0ms

Algorithm
rewrite-expression-head
Rules
24×sqrt-prod
21×associate-*r*
18×pow1 add-exp-log add-cbrt-cube
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×cbrt-prod pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
2×pow1/3 associate-*l* *-commutative
Counts
4 → 76
Calls
4 calls:
43.0ms
(* (* (sqrt (fabs (cbrt z))) y) (sqrt (sqrt z)))
162.0ms
(* (* (* (sqrt (fabs (cbrt z))) y) (sqrt (sqrt z))) (sqrt (sqrt (cbrt z))))
2.0ms
(cbrt z)
2.0ms
(cbrt z)

series1.2s

Counts
4 → 12
Calls
4 calls:
212.0ms
(* (* (sqrt (fabs (cbrt z))) y) (sqrt (sqrt z)))
411.0ms
(* (* (* (sqrt (fabs (cbrt z))) y) (sqrt (sqrt z))) (sqrt (sqrt (cbrt z))))
241.0ms
(cbrt z)
339.0ms
(cbrt z)

simplify1.5s

Counts
88 → 88
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01821317
14581133
217021009
done5000973

prune469.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes2.0ms