Details

Time bar (total: 1.1m)

sample1.0m

Algorithm
intervals
Results
59.8s3467×body10240exit
569.0ms3724×pre80true
59.0ms249×body80valid
4.0msbody640valid
3.0msbody320valid
1.0msbody160valid

simplify265.0ms

Calls
1 calls:
Slowest
265.0ms
(/ (* (pow (/ 1 (+ 1 (exp (- s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (- t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- t))))) c_n)))

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.9b

localize52.0ms

Local error

Found 4 expressions with local error:

3.2b
(/ (* (pow (/ 1 (+ 1 (exp (- s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (- t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- t))))) c_n)))
0.7b
(pow (/ 1 (+ 1 (exp (- t)))) c_p)
0.2b
(pow (/ 1 (+ 1 (exp (- s)))) c_p)
0.0b
(- 1 (/ 1 (+ 1 (exp (- t)))))

rewrite1.3s

Algorithm
rewrite-expression-head
Rules
5865×times-frac
5644×add-sqr-sqrt
5024×unpow-prod-down
3467×*-un-lft-identity
2552×associate-*l*
1740×associate-*r* unswap-sqr
1457×add-cube-cbrt
1192×add-exp-log
1162×sqr-pow
702×difference-of-squares
692×pow-exp
684×prod-exp
593×div-exp
363×distribute-lft-out
344×pow-to-exp
242×associate-/r/
239×div-inv
234×distribute-lft-out--
121×flip3-+ flip-+
116×rec-exp 1-exp *-commutative
57×associate-/r* associate-/l*
54×prod-diff
16×add-cbrt-cube
pow1
pow-unpow pow-pow add-log-exp
expm1-log1p-u cbrt-undiv cbrt-unprod insert-posit16 log1p-expm1-u
fma-neg
pow-flip inv-pow
clear-num sub-neg frac-2neg flip3-- diff-log flip--
Calls
4 calls:
Slowest
1.1s
(/ (* (pow (/ 1 (+ 1 (exp (- s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (- t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- t))))) c_n)))
34.0ms
(- 1 (/ 1 (+ 1 (exp (- t)))))
21.0ms
(pow (/ 1 (+ 1 (exp (- t)))) c_p)
17.0ms
(pow (/ 1 (+ 1 (exp (- s)))) c_p)

series728.0ms

Calls
4 calls:
Slowest
574.0ms
(/ (* (pow (/ 1 (+ 1 (exp (- s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (- t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- t))))) c_n)))
63.0ms
(pow (/ 1 (+ 1 (exp (- s)))) c_p)
62.0ms
(pow (/ 1 (+ 1 (exp (- t)))) c_p)
29.0ms
(- 1 (/ 1 (+ 1 (exp (- t)))))