Details

Time bar (total: 4.6s)

sample232.0ms

Algorithm
intervals
Results
72.0ms53×body640valid
47.0ms64×body10240exit
44.0ms60×body1280valid
29.0ms320×body80valid
6.0ms18×body320valid
3.0ms13×body160valid

simplify4.0s

Counts
1 → 1
Iterations

Useful iterations: 4 (353.0ms)

IterNodesCost
01929
14729
212429
335327
4100826
5451426
done500026

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 33.5b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- (/ 1.0 eps) 1.0) (exp (- (* (+ 1.0 eps) x))))
0.0b
(exp (- (* (- 1.0 eps) x)))
0.0b
(exp (- (* (+ 1.0 eps) x)))
2.9b
(- (* (+ 1.0 (/ 1.0 eps)) (exp (- (* (- 1.0 eps) x)))) (* (- (/ 1.0 eps) 1.0) (exp (- (* (+ 1.0 eps) x)))))

rewrite238.0ms

Algorithm
rewrite-expression-head
Rules
81×frac-sub
78×exp-neg
76×frac-times
59×neg-sub0 exp-diff
38×associate-*r/ associate-*l/
31×flip3-- flip--
27×flip3-+ flip-+
19×un-div-inv
15×add-sqr-sqrt
12×exp-prod
10×*-un-lft-identity add-log-exp
add-cube-cbrt
pow1 associate-*l* add-cbrt-cube
add-exp-log
expm1-log1p-u log1p-expm1-u rem-exp-log
associate-*r*
distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in neg-log difference-of-squares
sub-neg times-frac fma-neg diff-log prod-diff pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out-- unswap-sqr
Counts
4 → 167
Calls
4 calls:
130.0ms
(* (- (/ 1.0 eps) 1.0) (exp (- (* (+ 1.0 eps) x))))
13.0ms
(exp (- (* (- 1.0 eps) x)))
14.0ms
(exp (- (* (+ 1.0 eps) x)))
59.0ms
(- (* (+ 1.0 (/ 1.0 eps)) (exp (- (* (- 1.0 eps) x)))) (* (- (/ 1.0 eps) 1.0) (exp (- (* (+ 1.0 eps) x)))))

series52.0ms