Details

Time bar (total: 2.1m)

sample61.0ms

Algorithm
intervals
Results
43.0ms256×body80valid

simplify200.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
200.0ms
(+ (/ NdChar (+ 1 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))) (/ NaChar (+ 1 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))))

prune25.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize79.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ EAccept (- (+ Ev Vef) mu)) KbT)
0.0b
(/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)
0.0b
(exp (/ (+ EAccept (- (+ Ev Vef) mu)) KbT))
0.0b
(+ (exp (/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)) 1)

rewrite1.6s

Algorithm
rewrite-expression-head
Rules
193×*-un-lft-identity
90×times-frac
72×add-sqr-sqrt
56×add-cube-cbrt
53×distribute-lft-out
38×distribute-lft-out--
28×distribute-lft-neg-in distribute-rgt-neg-in
24×associate-/l*
22×exp-prod
8×add-cbrt-cube add-exp-log difference-of-squares
7×add-log-exp
6×associate-/r*
4×pow1 neg-mul-1 insert-posit16 associate-/l/
3×div-sub div-inv
2×cbrt-undiv clear-num associate-+r- frac-2neg flip3-+ div-exp flip-+ distribute-neg-frac
1×neg-sub0 +-commutative sum-log flip3-- exp-diff distribute-frac-neg flip-- rem-exp-log
Counts
4 → 180
Calls
4 calls:
Slowest
917.0ms
(+ (exp (/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)) 1)
260.0ms
(/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)
205.0ms
(exp (/ (+ EAccept (- (+ Ev Vef) mu)) KbT))
188.0ms
(/ (+ EAccept (- (+ Ev Vef) mu)) KbT)

series303.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
79.0ms
(exp (/ (+ EAccept (- (+ Ev Vef) mu)) KbT))
76.0ms
(/ (+ EAccept (- (+ Ev Vef) mu)) KbT)
76.0ms
(/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)
71.0ms
(+ (exp (/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)) 1)

simplify33.0s

Counts
211 → 192
Calls
211 calls:
Slowest
779.0ms
(+ (pow EAccept 3) (pow (- (+ Ev Vef) mu) 3))
622.0ms
(/ (cbrt (- Ec (+ (+ Vef mu) EDonor))) (cbrt KbT))
467.0ms
(/ (sqrt (- (- Ec (+ (+ Vef mu) EDonor)))) (cbrt KbT))
457.0ms
(/ (sqrt (- (- Ec (+ (+ Vef mu) EDonor)))) KbT)
446.0ms
(/ (sqrt (- (- Ec (+ (+ Vef mu) EDonor)))) (sqrt KbT))

prune4.2s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize119.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ EAccept (- (+ Ev Vef) mu)) KbT)
0.0b
(/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)
0.0b
(/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)
0.0b
(/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)

rewrite1.1s

Algorithm
rewrite-expression-head
Rules
360×*-un-lft-identity
180×times-frac
156×add-sqr-sqrt
108×add-cube-cbrt
88×distribute-lft-out
84×distribute-lft-neg-in distribute-rgt-neg-in
80×distribute-lft-out--
60×associate-/l*
24×difference-of-squares
12×associate-/r* neg-mul-1 add-cbrt-cube add-exp-log
8×associate-/l/
6×distribute-neg-frac
4×pow1 cbrt-undiv clear-num frac-2neg div-sub div-exp insert-posit16 div-inv add-log-exp
3×neg-sub0 flip3-- distribute-frac-neg flip--
1×associate-+r- flip3-+ flip-+
Counts
4 → 319
Calls
4 calls:
Slowest
333.0ms
(/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)
293.0ms
(/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)
252.0ms
(/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)
232.0ms
(/ (+ EAccept (- (+ Ev Vef) mu)) KbT)

series381.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
107.0ms
(/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)
101.0ms
(/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)
93.0ms
(/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)
79.0ms
(/ (+ EAccept (- (+ Ev Vef) mu)) KbT)

simplify1.2m

Counts
441 → 331
Calls
441 calls:
Slowest
748.0ms
(- (* EAccept EAccept) (* (- (+ Ev Vef) mu) (- (+ Ev Vef) mu)))
727.0ms
(+ (pow EAccept 3) (pow (- (+ Ev Vef) mu) 3))
649.0ms
(/ (- (* (cbrt (- Ec (+ (+ Vef mu) EDonor))) (cbrt (- Ec (+ (+ Vef mu) EDonor))))) 1)
522.0ms
(/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)
490.0ms
(/ (* (cbrt (- (- Ec (+ (+ Vef mu) EDonor)))) (cbrt (- (- Ec (+ (+ Vef mu) EDonor))))) (* (cbrt KbT) (cbrt KbT)))

prune7.6s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0.0b

end0.0ms

sample2.4s

Algorithm
intervals
Results
2.1s7997×body80valid
1.0ms2×body640valid
0.0ms1×body320valid