Details

Time bar (total: 4.2s)

sample130.0ms

Algorithm
intervals
Results
75.0ms306×body80valid
24.0ms110×body80nan

simplify166.0ms

Calls
1 calls:
Slowest
166.0ms
(* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))))

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.2b

localize36.0ms

Local error

Found 4 expressions with local error:

10.6b
(* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))
5.4b
(/ (* M D) (* 2 d))
5.4b
(/ (* M D) (* 2 d))
4.7b
(sqrt (- 1 (* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))))

rewrite3.0s

Algorithm
rewrite-expression-head
Rules
14364×frac-times
9410×add-sqr-sqrt
9126×associate-/l*
9105×associate-/r*
5625×*-un-lft-identity
5419×add-cube-cbrt
4571×associate-*l*
3989×associate-*r*
1977×unswap-sqr
1404×times-frac
1360×clear-num
1349×frac-2neg
1284×*-commutative
1056×associate-*l/
368×add-cbrt-cube add-exp-log
279×associate-*r/
230×swap-sqr
190×prod-exp cbrt-unprod
140×sqrt-prod
134×difference-of-squares
114×cbrt-undiv div-exp
32×un-div-inv
10×pow1
div-inv
insert-posit16 add-log-exp
pow-prod-down distribute-lft-out--
sqrt-div
rem-sqrt-square sqrt-pow1 flip3-- pow1/2 flip--
Calls
4 calls:
Slowest
1.8s
(sqrt (- 1 (* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))))
565.0ms
(* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))
30.0ms
(/ (* M D) (* 2 d))
18.0ms
(/ (* M D) (* 2 d))

series905.0ms

Calls
4 calls:
Slowest
639.0ms
(* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))
185.0ms
(sqrt (- 1 (* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))))
49.0ms
(/ (* M D) (* 2 d))
32.0ms
(/ (* M D) (* 2 d))