Details

Time bar (total: 40.9s)

sample39.4s

Algorithm
intervals
Results
39.2s3237×body10240exit
71.0ms3493×pre80true
22.0ms249×body80valid
2.0msbody160valid
1.0msbody640valid

simplify241.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02243
15343
214743
373143
done500043

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.8b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b
(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
0.2b
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
1.7b
(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
4.7b
(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

rewrite139.0ms

Algorithm
rewrite-expression-head
Rules
556×add-exp-log
312×prod-exp
264×pow-exp
249×div-exp
184×pow-to-exp
36×unpow-prod-down *-un-lft-identity
27×add-sqr-sqrt
26×times-frac
22×add-cube-cbrt
16×add-cbrt-cube
pow1 pow-unpow distribute-lft-out add-log-exp
cbrt-undiv associate-/r/ cbrt-unprod
div-inv
pow-pow flip3-+ flip-+ difference-of-squares sqr-pow
sub-neg flip3-- frac-2neg diff-log clear-num associate-/r* flip-- associate-/l* distribute-lft-out--
Counts
4 → 267
Calls
4 calls:
17.0ms
(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
10.0ms
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
10.0ms
(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
86.0ms
(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

series746.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(- 1.0 (/ 1.0 (+ 1.0 (exp (- t)))))
68.0ms
(pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p)
68.0ms
(pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p)
565.0ms
(/ (* (pow (/ 1.0 (+ 1.0 (exp (- s)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- s))))) c_n)) (* (pow (/ 1.0 (+ 1.0 (exp (- t)))) c_p) (pow (- 1.0 (/ 1.0 (+ 1.0 (exp (- t))))) c_n)))

simplify299.0ms

Iterations

Useful iterations: 1 (96.0ms)

IterNodesCost
036010772
19849979