Details

Time bar (total: 3.3s)

sample40.0ms

Algorithm
intervals
Results
17.0ms256×body80valid

simplify65.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04917
112017
231117
367717
4142217
5272617
6500117

prune10.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
197×*-un-lft-identity
81×times-frac
65×add-sqr-sqrt
50×distribute-lft-out
49×add-cube-cbrt
48×distribute-lft-out--
40×distribute-rgt-neg-in
28×distribute-lft-neg-in
27×associate-/l*
add-exp-log add-cbrt-cube add-log-exp difference-of-squares
associate-/r*
pow1 neg-mul-1 div-sub associate-/l/
flip3-+ flip-+
cbrt-undiv +-commutative neg-sub0 frac-2neg div-exp clear-num sum-log div-inv distribute-neg-frac
associate-+r- flip3-- distribute-frac-neg unsub-neg flip--
Counts
4 → 171
Calls
4 calls:
16.0ms
(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
13.0ms
(+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))
16.0ms
(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
16.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)

series265.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
72.0ms
(+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))
62.0ms
(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
61.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)

simplify68.0ms

Algorithm
egg-herbie
Counts
183 → 183
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
05671597
120091501
250021479

prune549.0ms

Filtered
183 candidates to 110 candidates (39.9%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New1821183
Fresh000
Picked101
Done000
Total1831184

Merged error: 0.0b

Counts
184 → 1

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
197×*-un-lft-identity
81×times-frac
65×add-sqr-sqrt
50×distribute-lft-out
49×add-cube-cbrt
48×distribute-lft-out--
40×distribute-rgt-neg-in
28×distribute-lft-neg-in
27×associate-/l*
add-exp-log add-cbrt-cube add-log-exp difference-of-squares
associate-/r*
pow1 neg-mul-1 div-sub associate-/l/
flip3-+ flip-+
cbrt-undiv +-commutative neg-sub0 frac-2neg div-exp clear-num sum-log div-inv distribute-neg-frac
associate-+r- flip3-- distribute-frac-neg unsub-neg flip--
Counts
4 → 171
Calls
4 calls:
13.0ms
(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
12.0ms
(+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))
15.0ms
(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
16.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)

series448.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
69.0ms
(+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))
252.0ms
(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
63.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)

simplify69.0ms

Algorithm
egg-herbie
Counts
183 → 183
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
05671597
120091501
250021479

prune586.0ms

Filtered
183 candidates to 110 candidates (39.9%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New1830183
Fresh000
Picked011
Done000
Total1831184

Merged error: 0.0b

Counts
184 → 1

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03719
13719

end0.0ms

sample961.0ms

Algorithm
intervals
Results
567.0ms8000×body80valid
1.0msbody10240exit