Details

Time bar (total: 1.1m)

sample103.0ms

Algorithm
intervals
Results
42.0ms257×body80nan
41.0ms256×body80valid

simplify243.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
242.0ms
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize37.0ms

Local error

Found 3 expressions with local error:

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

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
459×times-frac
282×add-sqr-sqrt
249×*-un-lft-identity
210×add-cube-cbrt
144×sqrt-prod
131×associate-*l*
78×difference-of-squares
28×associate-/r/
21×associate-/r*
17×add-cbrt-cube add-exp-log
15×div-inv
13×flip3-- flip--
10×unswap-sqr
pow1 cbrt-undiv div-exp associate-*r* associate-/l*
expm1-log1p-u prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 pow-prod-down associate-*l/ *-commutative
Counts
3 → 353
Calls
3 calls:
Slowest
56.0ms
(* (/ (sqrt 2) (/ 4 (- 1 (* v v)))) (sqrt (fma (* v v) -3 1)))
20.0ms
(/ (sqrt 2) (/ 4 (- 1 (* v v))))
2.0ms
(sqrt (fma (* v v) -3 1))

series643.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
358.0ms
(* (/ (sqrt 2) (/ 4 (- 1 (* v v)))) (sqrt (fma (* v v) -3 1)))
199.0ms
(/ (sqrt 2) (/ 4 (- 1 (* v v))))
86.0ms
(sqrt (fma (* v v) -3 1))

simplify59.1s

Counts
461 → 362
Calls
461 calls:
Slowest
573.0ms
(/ (* (* (sqrt 2) (sqrt 2)) (sqrt 2)) (/ (* (* 4 4) 4) (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v)))))
508.0ms
(/ (sqrt 2) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))
463.0ms
(/ (sqrt 1) (/ 4 (- (* 1 1) (* (* v v) (* v v)))))
453.0ms
(/ (* (* (sqrt 2) (sqrt 2)) (sqrt 2)) (* (* (/ 4 (- 1 (* v v))) (/ 4 (- 1 (* v v)))) (/ 4 (- 1 (* v v)))))
441.0ms
(/ (sqrt 1) (/ 4 (- (* 1 1) (* (* v v) (* v v)))))

prune3.9s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample2.6s

Algorithm
intervals
Results
1.2s7762×body80nan
1.2s8000×body80valid