Details

Time bar (total: 18.2s)

sample73.0ms

Algorithm
intervals
Results
34.0ms256×body80valid

simplify893.0ms

Counts
1 → 1
Iterations

Useful iterations: 4 (254.0ms)

IterNodesCost
02731
14930
212030
336630
4136229
done500029

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
0.0b
(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
0.0b
(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
0.1b
(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))

rewrite2.4s

Algorithm
rewrite-expression-head
Rules
342×*-un-lft-identity
162×times-frac
118×add-sqr-sqrt
90×add-cube-cbrt
89×exp-prod
84×distribute-lft-out distribute-lft-out--
70×distribute-rgt-neg-in
49×distribute-lft-neg-in
27×associate-/l*
14×difference-of-squares
add-exp-log div-sub add-cbrt-cube
neg-mul-1
associate-/r* add-log-exp
pow1 neg-sub0 exp-diff div-inv associate-/l/
cbrt-undiv associate-+r- frac-2neg distribute-frac-neg div-exp unsub-neg clear-num rem-exp-log distribute-neg-frac
exp-neg flip3-- flip3-+ flip-- flip-+
Counts
4 → 257
Calls
4 calls:
732.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
806.0ms
(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
382.0ms
(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
502.0ms
(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))

series346.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
100.0ms
(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
90.0ms
(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
82.0ms
(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))

simplify1.3s

Counts
269 → 269
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02653756
15663493
223433382
done50013378

prune1.5s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
0.0b
(/ (- (+ (+ Ev Vef) EAccept) mu) KbT)
0.1b
(exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))
0.4b
(cbrt (pow (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)) 3))

rewrite2.0s

Algorithm
rewrite-expression-head
Rules
175×*-un-lft-identity
96×times-frac
84×add-sqr-sqrt
83×exp-prod
58×add-cube-cbrt
57×distribute-lft-out--
21×distribute-lft-neg-in distribute-rgt-neg-in distribute-lft-out
13×difference-of-squares
12×cbrt-prod
associate-/l*
add-exp-log add-cbrt-cube add-log-exp
pow1 div-sub
neg-mul-1 unpow-prod-down exp-diff cube-prod associate-/r* div-inv
rem-exp-log associate-/l/
cbrt-undiv cube-div neg-sub0 exp-neg cube-mult cbrt-div flip3-- frac-2neg pow1/3 unpow3 distribute-frac-neg div-exp clear-num flip-- rem-cbrt-cube sqr-pow
Counts
4 → 170
Calls
4 calls:
958.0ms
(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
373.0ms
(/ (- (+ (+ Ev Vef) EAccept) mu) KbT)
444.0ms
(exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))
176.0ms
(cbrt (pow (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)) 3))

series384.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
106.0ms
(/ (- (+ (+ Ev Vef) EAccept) mu) KbT)
99.0ms
(exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))
93.0ms
(cbrt (pow (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)) 3))

simplify1.2s

Counts
182 → 182
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02462497
15222255
220652144
done50002142

prune1.3s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.1b
(exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))
0.1b
(exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))
0.5b
(cbrt (pow (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)) 3/2))
0.5b
(cbrt (pow (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)) 3/2))

rewrite1.4s

Algorithm
rewrite-expression-head
Rules
84×*-un-lft-identity
50×exp-prod
42×add-sqr-sqrt times-frac
30×add-cube-cbrt
18×distribute-lft-out distribute-lft-out--
14×cbrt-prod
unpow-prod-down add-log-exp difference-of-squares
pow1 add-exp-log add-cbrt-cube
exp-diff pow1/3 div-sub div-inv rem-exp-log sqr-pow
Counts
4 → 98
Calls
4 calls:
436.0ms
(exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))
448.0ms
(exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))
284.0ms
(cbrt (pow (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)) 3/2))
272.0ms
(cbrt (pow (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)) 3/2))

series451.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))
78.0ms
(exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))
148.0ms
(cbrt (pow (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)) 3/2))
137.0ms
(cbrt (pow (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)) 3/2))

simplify897.0ms

Counts
110 → 110
Iterations

Useful iterations: done (893.0ms)

IterNodesCost
01041606
11901546
24521448
313941434
done50001418

prune1.4s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0.0b

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03047
13747
done3747

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.5s8000×body80valid
1.0msbody10240exit