Details

Time bar (total: 11.8s)

sample81.0ms

Algorithm
intervals
Results
34.0ms279×body80nan
30.0ms256×body80valid

simplify1.6s

Counts
1 → 1
Iterations
IterNodes
62299
51497
4711
3221
271
127
014

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
0.1b
(* 3 (* v v))

rewrite73.0ms

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
pow1
associate-*r* unswap-sqr
prod-exp cbrt-unprod
sqrt-div pow-prod-down
frac-times flip3-- associate-*r/ *-commutative insert-posit16 flip-- add-log-exp
cbrt-undiv div-exp associate-*l/ div-inv
Counts
2 → 73
Calls
2 calls:
41.0ms
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
29.0ms
(* 3 (* v v))

series262.0ms

Counts
2 → 6
Calls
2 calls:
230.0ms
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
32.0ms
(* 3 (* v v))

simplify2.7s

Counts
79 → 79
Iterations
IterNodes
34922
21240
1417
0164

prune344.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize33.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
0.1b
(* 3 (* v v))

rewrite59.0ms

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
pow1
associate-*r* unswap-sqr
prod-exp cbrt-unprod
sqrt-div pow-prod-down
frac-times flip3-- associate-*r/ *-commutative insert-posit16 flip-- add-log-exp
cbrt-undiv div-exp associate-*l/ div-inv
Counts
2 → 73
Calls
2 calls:
31.0ms
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
26.0ms
(* 3 (* v v))

series260.0ms

Counts
2 → 6
Calls
2 calls:
224.0ms
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
36.0ms
(* 3 (* v v))

simplify2.8s

Counts
79 → 79
Iterations
IterNodes
34922
21240
1417
0164

prune405.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify3.0ms

Iterations
IterNodes
219
119
016

end0.0ms

sample3.2s

Algorithm
intervals
Results
1.6s8000×body80valid
1.2s8207×body80nan