Details

Time bar (total: 19.2s)

sample151.0ms

Algorithm
intervals
Results
65.0ms98×body2560valid
31.0ms79×body1280valid
14.0ms246×body80nan
10.0ms37×body640valid
5.0ms23×body320valid
2.0ms14×body160valid
0.0msbody80valid

simplify8.5s

Counts
1 → 1
Iterations
IterNodes
done5114
84456
71199
6436
5201
4131
370
241
119
09

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize91.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
0.1b
(* 5.0 (* v v))
0.3b
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite154.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
13×*-un-lft-identity add-cube-cbrt
12×times-frac
10×add-cbrt-cube add-exp-log
pow1
associate-/r* difference-of-squares
associate-*l* pow-prod-down prod-exp cbrt-unprod insert-posit16 associate-/l* add-log-exp
flip3-- associate-/r/ flip-- associate-/l/
acos-asin cbrt-undiv clear-num frac-2neg div-sub div-exp associate-*r* *-commutative div-inv unswap-sqr
Counts
3 → 66
Calls
3 calls:
96.0ms
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
44.0ms
(* 5.0 (* v v))
6.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series226.0ms

Counts
3 → 9
Calls
3 calls:
139.0ms
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
61.0ms
(* 5.0 (* v v))
25.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify9.3s

Counts
75 → 75
Iterations
IterNodes
done5000
34998
21144
1364
0142

prune785.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

localize7.0ms