Details

Time bar (total: 3.6s)

sample42.0ms

Algorithm
intervals
Results
19.0ms256×body80valid

simplify70.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04917
112017
231117
367717
4142517
5273317
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

localize24.0ms

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)

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
199×*-un-lft-identity
81×times-frac
67×add-sqr-sqrt
51×add-cube-cbrt
50×distribute-lft-out
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
fma-def associate-/r*
pow1 expm1-log1p-u neg-mul-1 div-sub log1p-expm1-u 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 → 185
Calls
4 calls:
15.0ms
(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
13.0ms
(+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))
15.0ms
(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
22.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)

series269.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
74.0ms
(+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))
56.0ms
(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
65.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)

simplify74.0ms

Algorithm
egg-herbie
Counts
197 → 197
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
05851652
120691554
250031529

prune603.0ms

Filtered
197 candidates to 124 candidates (37.1%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New1961197
Fresh000
Picked101
Done000
Total1971198

Merged error: 0.0b

Counts
198 → 1

localize27.0ms

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)

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
199×*-un-lft-identity
81×times-frac
67×add-sqr-sqrt
51×add-cube-cbrt
50×distribute-lft-out
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
fma-def associate-/r*
pow1 expm1-log1p-u neg-mul-1 div-sub log1p-expm1-u 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 → 185
Calls
4 calls:
13.0ms
(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
12.0ms
(+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))
18.0ms
(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
22.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)

series272.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
74.0ms
(+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))
58.0ms
(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
66.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)

simplify74.0ms

Algorithm
egg-herbie
Counts
197 → 197
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
05851652
120691554
250031529

prune918.0ms

Filtered
197 candidates to 124 candidates (37.1%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New1970197
Fresh000
Picked011
Done000
Total1971198

Merged error: 0.0b

Counts
198 → 1

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03719
13719

end0.0ms

sample1.1s

Algorithm
intervals
Results
645.0ms8000×body80valid
1.0msbody10240exit