Details

Time bar (total: 14.0s)

sample190.0ms

Algorithm
intervals
Results
76.0ms98×body2560valid
44.0ms79×body1280valid
19.0ms246×body80nan
15.0ms37×body640valid
7.0ms23×body320valid
3.0ms14×body160valid
1.0msbody80valid

simplify9.1s

Counts
1 → 1
Iterations
IterNodes
done5018
84522
71213
6455
5218
4138
377
242
120
09

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize123.0ms

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)))

rewrite141.0ms

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
expm1-log1p-u associate-*l* pow-prod-down prod-exp cbrt-unprod insert-posit16 log1p-expm1-u 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 → 72
Calls
3 calls:
64.0ms
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
67.0ms
(* 5.0 (* v v))
7.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series202.0ms

Counts
3 → 9
Calls
3 calls:
151.0ms
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
38.0ms
(* 5.0 (* v v))
12.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify3.4s

Counts
81 → 81
Iterations
IterNodes
done5000
21192
1378
0148

prune832.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

localize13.0ms