Details

Time bar (total: 5.7s)

sample235.0ms

Algorithm
intervals
Results
73.0ms299×body80nan
19.0ms35×body1280valid
14.0ms155×body80valid
9.0ms30×body640valid
6.0ms14×body1280nan
6.0ms24×body320valid
4.0ms15×body640nan
3.0ms12×body160valid
2.0ms10×body320nan
1.0msbody160nan

simplify5.2s

Counts
1 → 1
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
01827
14126
210026
322426
449726
594126
6155526
7330526
done500126

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.3b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* (sqrt 2.0) t) (sqrt (- (* (/ (+ x 1.0) (- x 1.0)) (+ (* l l) (* 2.0 (* t t)))) (* l l))))
0.4b
(* (sqrt 2.0) t)
13.5b
(- (* (/ (+ x 1.0) (- x 1.0)) (+ (* l l) (* 2.0 (* t t)))) (* l l))
18.4b
(sqrt (- (* (/ (+ x 1.0) (- x 1.0)) (+ (* l l) (* 2.0 (* t t)))) (* l l)))

rewrite237.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×sqrt-prod
12×add-cube-cbrt *-un-lft-identity
11×add-exp-log add-cbrt-cube
pow1
times-frac associate-*l* associate-/r* add-log-exp
expm1-log1p-u sqrt-div log1p-expm1-u
flip3-- associate-*r* flip--
cbrt-undiv div-exp prod-exp associate--l+ associate-/r/ cbrt-unprod unswap-sqr
distribute-rgt-in sub-neg rem-sqrt-square frac-2neg distribute-lft-in sqrt-pow1 pow1/2 fma-neg diff-log prod-diff pow-prod-down clear-num *-commutative div-inv associate-/l*
Counts
4 → 90
Calls
4 calls:
99.0ms
(/ (* (sqrt 2.0) t) (sqrt (- (* (/ (+ x 1.0) (- x 1.0)) (+ (* l l) (* 2.0 (* t t)))) (* l l))))
21.0ms
(* (sqrt 2.0) t)
36.0ms
(- (* (/ (+ x 1.0) (- x 1.0)) (+ (* l l) (* 2.0 (* t t)))) (* l l))
77.0ms
(sqrt (- (* (/ (+ x 1.0) (- x 1.0)) (+ (* l l) (* 2.0 (* t t)))) (* l l)))

series5.0ms