Details

Time bar (total: 10.0m)

sample55.8s

Algorithm
intervals
Results
55.3s3336×body10240exit
218.0ms3592×pre80true
90.0ms250×body80valid
11.0ms1×body5120valid
3.0ms1×body1280valid
3.0ms2×body640valid
1.0ms2×body160valid

simplify3.6s

Counts
1 → 1

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.7b

localize51.0ms

Local error

Found 4 expressions with local error:

1.7b
(/ (* (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)))))

rewrite485.0ms

Algorithm
rewrite-expression-head
Rules
1192×add-exp-log
692×pow-exp
684×prod-exp
593×div-exp
344×pow-to-exp
116×rec-exp 1-exp
42×*-un-lft-identity
36×unpow-prod-down
33×add-sqr-sqrt
29×times-frac
22×add-cube-cbrt
16×add-cbrt-cube
8×pow1
6×pow-unpow pow-pow distribute-lft-out add-log-exp difference-of-squares
4×cbrt-undiv associate-/r/ cbrt-unprod insert-posit16 div-inv
2×flip3-+ flip-+ pow-flip distribute-lft-out-- inv-pow sqr-pow
1×clear-num associate-/r* sub-neg frac-2neg flip3-- diff-log flip-- associate-/l*
Counts
4 → 476
Calls
4 calls:
Slowest
413.0ms
(/ (* (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)))
29.0ms
(- 1 (/ 1 (+ 1 (exp (- t)))))
13.0ms
(pow (/ 1 (+ 1 (exp (- s)))) c_p)
13.0ms
(pow (/ 1 (+ 1 (exp (- t)))) c_p)

series730.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
572.0ms
(/ (* (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)))
64.0ms
(pow (/ 1 (+ 1 (exp (- s)))) c_p)
62.0ms
(pow (/ 1 (+ 1 (exp (- t)))) c_p)
32.0ms
(- 1 (/ 1 (+ 1 (exp (- t)))))

simplify2.1s

Counts
488 → 488

prune6.6s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize66.0ms

Local error

Found 4 expressions with local error:

8.4b
(- (- (* (log (- 1 (/ 1 (+ (exp (- s)) 1)))) c_n) (* c_p (log (+ (exp (- s)) 1)))) (- (* (log (- 1 (/ 1 (+ (exp (- t)) 1)))) c_n) (* (log (+ (exp (- t)) 1)) c_p)))
0.8b
(log (+ (exp (- t)) 1))
0.3b
(log (+ (exp (- s)) 1))
0.2b
(* (log (+ (exp (- t)) 1)) c_p)

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
16×add-log-exp
14×*-un-lft-identity
12×add-sqr-sqrt
9×pow1
8×log-prod diff-log add-exp-log add-cube-cbrt
6×add-cbrt-cube
5×flip3-- flip--
4×log-div associate-*l* frac-sub insert-posit16
3×sub-neg associate-*r* log-pow
2×flip3-+ rem-log-exp associate--l+ flip-+ distribute-lft-out associate--r+
1×associate--l- pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out-- associate--r- difference-of-squares unswap-sqr
Counts
4 → 80
Calls
4 calls:
Slowest
51.0ms
(- (- (* (log (- 1 (/ 1 (+ (exp (- s)) 1)))) c_n) (* c_p (log (+ (exp (- s)) 1)))) (- (* (log (- 1 (/ 1 (+ (exp (- t)) 1)))) c_n) (* (log (+ (exp (- t)) 1)) c_p)))
10.0ms
(log (+ (exp (- t)) 1))
8.0ms
(log (+ (exp (- s)) 1))
7.0ms
(* (log (+ (exp (- t)) 1)) c_p)

series511.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
326.0ms
(- (- (* (log (- 1 (/ 1 (+ (exp (- s)) 1)))) c_n) (* c_p (log (+ (exp (- s)) 1)))) (- (* (log (- 1 (/ 1 (+ (exp (- t)) 1)))) c_n) (* (log (+ (exp (- t)) 1)) c_p)))
66.0ms
(* (log (+ (exp (- t)) 1)) c_p)
62.0ms
(log (+ (exp (- s)) 1))
58.0ms
(log (+ (exp (- t)) 1))

simplify864.0ms

Counts
92 → 92

prune1.4s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

0.0b
(* 1/2 (* c_n s))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-cbrt-cube add-exp-log
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
1×associate-*r* *-commutative insert-posit16 add-log-exp
Counts
1 → 19
Calls
1 calls:
Slowest
13.0ms
(* 1/2 (* c_n s))

series30.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
30.0ms
(* 1/2 (* c_n s))

simplify988.0ms

Counts
22 → 22

prune171.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

1.2b
(/ (* (pow (/ 1 (+ 1 (exp (- s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n)) (* (+ 1 (* c_p (+ (* 1/2 t) (log 1/2)))) (pow (- 1 (/ 1 (+ 1 (exp (- t))))) c_n)))
0.2b
(pow (/ 1 (+ 1 (exp (- s)))) c_p)
0.2b
(* c_p (+ (* 1/2 t) (log 1/2)))
0.0b
(- 1 (/ 1 (+ 1 (exp (- t)))))

rewrite210.0ms

Algorithm
rewrite-expression-head
Rules
249×add-exp-log
130×prod-exp
102×div-exp
95×pow-exp
56×pow-to-exp
29×*-un-lft-identity
28×add-sqr-sqrt
18×unpow-prod-down add-cbrt-cube
17×times-frac
15×add-cube-cbrt
13×rec-exp 1-exp
8×pow1
6×add-log-exp difference-of-squares
5×cbrt-unprod
4×cbrt-undiv associate-/r/ insert-posit16
3×pow-unpow pow-pow flip3-+ associate-*r* associate-*l* flip-+ div-inv distribute-lft-out
2×associate-*l/ associate-*r/ distribute-lft-out--
1×distribute-rgt-in clear-num associate-/r* sub-neg frac-2neg distribute-lft-in flip3-- diff-log pow-prod-down *-commutative pow-flip flip-- associate-/l* inv-pow unswap-sqr sqr-pow
Counts
4 → 178
Calls
4 calls:
Slowest
143.0ms
(/ (* (pow (/ 1 (+ 1 (exp (- s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n)) (* (+ 1 (* c_p (+ (* 1/2 t) (log 1/2)))) (pow (- 1 (/ 1 (+ 1 (exp (- t))))) c_n)))
31.0ms
(- 1 (/ 1 (+ 1 (exp (- t)))))
20.0ms
(* c_p (+ (* 1/2 t) (log 1/2)))
13.0ms
(pow (/ 1 (+ 1 (exp (- s)))) c_p)

series931.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
719.0ms
(/ (* (pow (/ 1 (+ 1 (exp (- s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (- s))))) c_n)) (* (+ 1 (* c_p (+ (* 1/2 t) (log 1/2)))) (pow (- 1 (/ 1 (+ 1 (exp (- t))))) c_n)))
115.0ms
(* c_p (+ (* 1/2 t) (log 1/2)))
63.0ms
(pow (/ 1 (+ 1 (exp (- s)))) c_p)
34.0ms
(- 1 (/ 1 (+ 1 (exp (- t)))))

simplify1.8s

Counts
190 → 190

prune3.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes399.0ms

bsearch6.0ms

end0.0ms

sample8.7m