Details

Time bar (total: 7.5s)

sample83.0ms

Algorithm
intervals
Results
36.0ms256×body80valid
30.0ms216×body80nan

simplify1.0s

Counts
1 → 1
Iterations
IterNodes
done2028
62028
51649
4728
3223
273
129
014

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
0.2b
(* 3 (* v v))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
25×associate-*l*
22×times-frac
18×*-un-lft-identity add-cube-cbrt
17×sqrt-prod
12×add-cbrt-cube add-exp-log
9×pow1
7×associate-*r* unswap-sqr
5×prod-exp cbrt-unprod
4×sqrt-div pow-prod-down
2×frac-times flip3-- associate-*r/ *-commutative insert-posit16 flip-- add-log-exp
1×cbrt-undiv div-exp associate-*l/ div-inv
Counts
2 → 73
Calls
2 calls:
38.0ms
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
18.0ms
(* 3 (* v v))

series289.0ms

Counts
2 → 6
Calls
2 calls:
248.0ms
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
41.0ms
(* 3 (* v v))

simplify1.1s

Counts
79 → 79
Iterations
IterNodes
done2041
32041
21199
1421
0164

prune319.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (* v v) 3)
0.2b
(* (* v v) 3)

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
12×pow1 add-cbrt-cube add-exp-log
6×add-sqr-sqrt associate-*r* pow-prod-down prod-exp cbrt-unprod
4×*-un-lft-identity add-cube-cbrt
2×associate-*l* *-commutative insert-posit16 add-log-exp unswap-sqr
Counts
2 → 40
Calls
2 calls:
28.0ms
(* (* v v) 3)
20.0ms
(* (* v v) 3)

series108.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(* (* v v) 3)
57.0ms
(* (* v v) 3)

simplify1.2s

Counts
46 → 46
Iterations
IterNodes
done2002
42002
31012
2326
1107
038

prune232.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify4.0ms

Iterations
IterNodes
done23
123
016

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.6s8000×body80valid
1.2s7822×body80nan