Details

Time bar (total: 5.0s)

sample180.0ms

Algorithm
intervals
Results
51.0ms163×body80valid
23.0ms296×body80nan
11.0ms31×body640valid
9.0ms26×body1280valid
6.0ms27×body320valid
5.0ms19×body640nan
5.0ms14×body1280nan
2.0ms11×body320nan
1.0msbody160valid
0.0msbody160nan

simplify4.6s

Counts
1 → 1
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
01827
14126
210026
322426
449726
594126
6155526
7330526
done500126

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.9b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* (sqrt 2.0) t) (sqrt (- (* (fma l l (* 2.0 (* t t))) (/ (+ x 1.0) (- x 1.0))) (* l l))))
0.4b
(* (sqrt 2.0) t)
15.3b
(- (* (fma l l (* 2.0 (* t t))) (/ (+ x 1.0) (- x 1.0))) (* l l))
23.1b
(sqrt (- (* (fma l l (* 2.0 (* t t))) (/ (+ x 1.0) (- x 1.0))) (* l l)))

rewrite183.0ms

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-/r/ cbrt-unprod unswap-sqr
sub-neg rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 fma-neg diff-log prod-diff pow-prod-down clear-num *-commutative div-inv associate-/l*
Counts
4 → 88
Calls
4 calls:
74.0ms
(/ (* (sqrt 2.0) t) (sqrt (- (* (fma l l (* 2.0 (* t t))) (/ (+ x 1.0) (- x 1.0))) (* l l))))
21.0ms
(* (sqrt 2.0) t)
38.0ms
(- (* (fma l l (* 2.0 (* t t))) (/ (+ x 1.0) (- x 1.0))) (* l l))
40.0ms
(sqrt (- (* (fma l l (* 2.0 (* t t))) (/ (+ x 1.0) (- x 1.0))) (* l l)))

series9.0ms