Details

Time bar (total: 2.0m)

sample92.0ms

Algorithm
intervals
Results
62.0ms256×body80valid

simplify243.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
242.0ms
(+ (/ NdChar (+ 1 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))) (/ NaChar (+ 1 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))))

prune30.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize96.0ms

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)

rewrite1.7s

Algorithm
rewrite-expression-head
Rules
194×*-un-lft-identity
90×times-frac
73×add-sqr-sqrt
57×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×expm1-log1p-u pow1 neg-mul-1 insert-posit16 log1p-expm1-u associate-/l/
3×fma-def 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 → 191
Calls
4 calls:
Slowest
972.0ms
(+ (exp (/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)) 1)
309.0ms
(/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)
211.0ms
(exp (/ (+ EAccept (- (+ Ev Vef) mu)) KbT))
195.0ms
(/ (+ EAccept (- (+ Ev Vef) mu)) KbT)

series350.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
109.0ms
(+ (exp (/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)) 1)
89.0ms
(/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)
80.0ms
(exp (/ (+ EAccept (- (+ Ev Vef) mu)) KbT))
71.0ms
(/ (+ EAccept (- (+ Ev Vef) mu)) KbT)

simplify33.5s

Counts
213 → 203
Calls
213 calls:
Slowest
768.0ms
(+ (pow EAccept 3) (pow (- (+ Ev Vef) mu) 3))
443.0ms
(/ (sqrt (- (- Ec (+ (+ Vef mu) EDonor)))) KbT)
396.0ms
(/ (- (* (cbrt (- Ec (+ (+ Vef mu) EDonor))) (cbrt (- Ec (+ (+ Vef mu) EDonor))))) (sqrt KbT))
395.0ms
(/ (- 1) 1)
388.0ms
(/ (* (cbrt (- (- Ec (+ (+ Vef mu) EDonor)))) (cbrt (- (- Ec (+ (+ Vef mu) EDonor))))) (* (cbrt KbT) (cbrt KbT)))

prune4.8s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize125.0ms

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)

rewrite1.2s

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×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg div-sub div-exp insert-posit16 log1p-expm1-u div-inv add-log-exp
3×neg-sub0 flip3-- distribute-frac-neg flip--
1×associate-+r- flip3-+ flip-+
Counts
4 → 327
Calls
4 calls:
Slowest
343.0ms
(/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)
322.0ms
(/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)
288.0ms
(/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)
278.0ms
(/ (+ EAccept (- (+ Ev Vef) mu)) KbT)

series343.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
95.0ms
(/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)
93.0ms
(/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)
82.0ms
(/ (+ EAccept (- (+ Ev Vef) mu)) KbT)
73.0ms
(/ (- (- Ec (+ (+ Vef mu) EDonor))) KbT)

simplify1.2m

Counts
441 → 339
Calls
441 calls:
Slowest
805.0ms
(+ (pow EAccept 3) (pow (- (+ Ev Vef) mu) 3))
791.0ms
(/ (sqrt (- (- Ec (+ (+ Vef mu) EDonor)))) KbT)
579.0ms
(/ (- Ec (+ (+ Vef mu) EDonor)) KbT)
504.0ms
(sqrt (- (- Ec (+ (+ Vef mu) EDonor))))
476.0ms
(/ (sqrt (- (- Ec (+ (+ Vef mu) EDonor)))) (* (cbrt KbT) (cbrt KbT)))

prune6.1s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0.0b

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.7s7997×body80valid
1.0ms2×body640valid
0.0ms1×body320valid