Details

Time bar (total: 2.6s)

sample41.0ms

Algorithm
intervals
Results
20.0ms256×body80valid

simplify45.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04917
112017
231117
367717
4142517
5273317
6500217

prune5.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0b

Counts
2 → 1

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
292×*-un-lft-identity
147×times-frac
114×add-sqr-sqrt
86×add-cube-cbrt
84×distribute-lft-out--
61×distribute-rgt-neg-in
58×exp-prod
52×distribute-lft-out
49×distribute-lft-neg-in
30×associate-/l*
14×difference-of-squares
10×add-exp-log associate-/r* add-cbrt-cube
neg-mul-1
div-sub add-log-exp
pow1 expm1-log1p-u log1p-expm1-u div-inv associate-/l/
cbrt-undiv neg-sub0 frac-2neg div-exp clear-num
flip3-+ distribute-frac-neg associate-/r/ flip-+ distribute-neg-frac
exp-neg associate-+r- flip3-- exp-diff unsub-neg flip-- rem-exp-log
Counts
4 → 256
Calls
4 calls:
17.0ms
(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
15.0ms
(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
17.0ms
(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
26.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)

series313.0ms

Counts
4 → 12
Calls
4 calls:
138.0ms
(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
53.0ms
(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
60.0ms
(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
61.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)

simplify71.0ms

Algorithm
egg-herbie
Counts
268 → 268
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
06812256
123892143
250012108

prune1.1s

Filtered
268 candidates to 162 candidates (60.4%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New2680268
Fresh000
Picked011
Done000
Total2681269

Merged error: 0b

Counts
269 → 1

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03517
13517

end0.0ms

sample970.0ms

Algorithm
intervals
Results
567.0ms8000×body80valid
2.0msbody10240exit