Details

Time bar (total: 6.5s)

sample1.1s

Algorithm
intervals
Results
884.0ms1235×body80nan
177.0ms413×body80valid

simplify417.0ms

Calls
1 calls:
Slowest
416.0ms
(* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))))

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 28.6b

localize74.0ms

Local error

Found 4 expressions with local error:

13.8b
(pow (/ d h) (/ 1 2))
13.7b
(* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))
12.6b
(pow (/ d l) (/ 1 2))
8.1b
(* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))))

rewrite4.2s

Algorithm
rewrite-expression-head
Rules
4259×add-sqr-sqrt
2129×times-frac
2037×associate-*l*
1792×associate-*r*
1578×prod-diff
1567×unswap-sqr
1504×*-un-lft-identity
1495×unpow-prod-down
1245×add-cube-cbrt
791×distribute-rgt-in distribute-lft-in
331×add-exp-log
184×*-commutative
179×prod-exp
102×difference-of-squares sqr-pow
99×div-exp associate-*l/
82×unpow2
81×frac-times
61×associate-/l*
60×associate-/r* pow-exp
30×add-cbrt-cube
28×div-inv
26×pow-unpow
21×clear-num
20×frac-2neg
18×pow-to-exp
16×pow1
14×rec-exp 1-exp
13×cbrt-unprod
11×associate-*r/
pow-prod-down
cbrt-undiv
expm1-log1p-u insert-posit16 log1p-expm1-u distribute-lft-out-- add-log-exp
sub-neg pow-pow un-div-inv
flip3-- flip--
Calls
4 calls:
Slowest
3.6s
(* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))))
419.0ms
(* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))
11.0ms
(pow (/ d l) (/ 1 2))
5.0ms
(pow (/ d h) (/ 1 2))

series692.0ms

Calls
4 calls:
Slowest
388.0ms
(* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))))
121.0ms
(* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))
104.0ms
(pow (/ d h) (/ 1 2))
79.0ms
(pow (/ d l) (/ 1 2))