Details

Time bar (total: 13.0s)

sample84.0ms

Algorithm
intervals
Results
34.0ms263×body80nan
32.0ms256×body80valid

simplify230.0ms

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize43.0ms

Local error

Found 3 expressions with local error:

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

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
25×associate-*l*
22×times-frac
20×*-un-lft-identity add-cube-cbrt sqrt-prod
13×add-cbrt-cube add-exp-log
11×pow1
7×associate-*r* unswap-sqr
6×sqrt-div
5×prod-exp cbrt-unprod
4×pow-prod-down
3×flip3-- insert-posit16 flip-- add-log-exp
2×frac-times associate-*r/ *-commutative
1×cbrt-undiv rem-sqrt-square sqrt-pow1 pow1/2 div-exp associate-*l/ div-inv
Counts
3 → 89
Calls
3 calls:
Slowest
32.0ms
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
13.0ms
(* 3 (* v v))
4.0ms
(sqrt (- 1 (* 3 (* v v))))

series325.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
216.0ms
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
73.0ms
(sqrt (- 1 (* 3 (* v v))))
36.0ms
(* 3 (* v v))

simplify7.7s

Counts
77 → 98
Calls
77 calls:
Slowest
820.0ms
(* (* (* (/ (sqrt 2) 4) (/ (sqrt 2) 4)) (/ (sqrt 2) 4)) (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt (- 1 (* 3 (* v v))))) (sqrt (- 1 (* 3 (* v v))))))
489.0ms
(sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v)))))
461.0ms
(sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))
392.0ms
(* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))
383.0ms
(- (+ (* 1/2 (/ 1 (* (sqrt -3) v))) (* (sqrt -3) v)) (* 1/8 (/ 1 (* (pow (sqrt -3) 3) (pow v 3)))))

prune1.1s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample3.4s

Algorithm
intervals
Results
1.7s8130×body80nan
1.4s8000×body80valid