Details

Time bar (total: 14.3s)

sample89.0ms

Algorithm
intervals
Results
45.0ms256×body80valid

simplify984.0ms

Counts
1 → 1
Iterations

Useful iterations: 4 (293.0ms)

IterNodesCost
02731
14930
212030
336630
4136229
done500129

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
0.0b
(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
0.0b
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
0.0b
(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)

rewrite3.0s

Algorithm
rewrite-expression-head
Rules
278×*-un-lft-identity
135×times-frac
106×add-sqr-sqrt
84×distribute-lft-out--
78×add-cube-cbrt
61×distribute-rgt-neg-in
58×exp-prod
49×distribute-lft-neg-in distribute-lft-out
27×associate-/l*
14×difference-of-squares
add-exp-log add-cbrt-cube
neg-mul-1 add-log-exp
associate-/r*
div-sub
pow1 expm1-log1p-u log1p-expm1-u associate-/l/
neg-sub0 fma-def div-inv
cbrt-undiv frac-2neg flip3-+ distribute-frac-neg div-exp clear-num flip-+ distribute-neg-frac
+-commutative exp-neg associate-+r- flip3-- exp-diff unsub-neg sum-log flip-- rem-exp-log
Counts
4 → 238
Calls
4 calls:
949.0ms
(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
682.0ms
(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
885.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
455.0ms
(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)

series332.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
85.0ms
(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
79.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
78.0ms
(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)

simplify1.7s

Counts
250 → 250
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02743682
16053433
224163326
done50003322

prune1.4s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
0.0b
(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
0.0b
(expm1 (log1p (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
0.7b
(log1p (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))

rewrite1.1s

Algorithm
rewrite-expression-head
Rules
193×*-un-lft-identity
81×times-frac
65×add-sqr-sqrt
49×add-cube-cbrt
48×distribute-lft-out distribute-lft-out--
40×distribute-rgt-neg-in
28×distribute-lft-neg-in
27×associate-/l*
add-exp-log add-cbrt-cube difference-of-squares
associate-/r*
expm1-log1p-u
pow1 neg-mul-1 div-sub log1p-expm1-u associate-/l/ add-log-exp
cbrt-undiv neg-sub0 frac-2neg div-exp clear-num div-inv distribute-neg-frac
associate-+r- log1p-udef expm1-log1p flip3-- flip3-+ log1p-expm1 distribute-frac-neg unsub-neg flip-- flip-+ expm1-udef
Counts
4 → 173
Calls
4 calls:
735.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
382.0ms
(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
0.0ms
(expm1 (log1p (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
1.0ms
(log1p (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))

series441.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
75.0ms
(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
138.0ms
(expm1 (log1p (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
153.0ms
(log1p (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))

simplify1.4s

Counts
185 → 185
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02312951
15362768
222142646
done50012638

prune1.1s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02933
13733
done3733

end0.0ms

sample2.6s

Algorithm
intervals
Results
1.8s8000×body80valid
1.0msbody10240exit