Details

Time bar (total: 6.1s)

sample40.0ms

Algorithm
intervals
Results
18.0ms256×body80valid

simplify45.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04917
112017
231117
367717
4142217
5272617
6500117

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: 0.0b

Counts
2 → 1

localize27.0ms

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

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
277×*-un-lft-identity
120×times-frac
88×distribute-lft-out
87×add-sqr-sqrt
71×add-cube-cbrt
49×distribute-rgt-neg-in
48×distribute-lft-out--
31×exp-prod
30×associate-/l*
28×distribute-lft-neg-in
10×add-exp-log associate-/r* add-cbrt-cube
difference-of-squares
div-sub
add-log-exp
pow1 neg-mul-1 div-inv associate-/l/
cbrt-undiv neg-sub0 frac-2neg exp-diff div-exp clear-num
associate-+r- flip3-+ unsub-neg associate-/r/ flip-+ distribute-neg-frac
flip3-- distribute-frac-neg flip-- rem-exp-log
Counts
4 → 222
Calls
4 calls:
15.0ms
(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
14.0ms
(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
15.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
14.0ms
(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))

series321.0ms

Counts
4 → 12
Calls
4 calls:
136.0ms
(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
60.0ms
(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
66.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
58.0ms
(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))

simplify64.0ms

Algorithm
egg-herbie
Counts
234 → 234
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
06472001
122891885
250011862

prune817.0ms

Filtered
234 candidates to 133 candidates (56.8%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New2322234
Fresh000
Picked101
Done000
Total2332235

Merged error: 0.0b

Counts
235 → 2

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
0.0b
(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
0.0b
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
0.0b
(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
277×*-un-lft-identity
120×times-frac
88×distribute-lft-out
87×add-sqr-sqrt
71×add-cube-cbrt
49×distribute-rgt-neg-in
48×distribute-lft-out--
31×exp-prod
30×associate-/l*
28×distribute-lft-neg-in
12×add-exp-log
10×associate-/r* add-cbrt-cube
difference-of-squares
div-sub
pow1 add-log-exp
neg-mul-1 div-exp div-inv associate-/l/
cbrt-undiv neg-sub0 frac-2neg exp-diff clear-num
associate-+r- flip3-+ unsub-neg associate-/r/ flip-+ distribute-neg-frac
rec-exp flip3-- pow-flip 1-exp distribute-frac-neg flip-- rem-exp-log inv-pow
Counts
4 → 226
Calls
4 calls:
19.0ms
(/ 1 (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
14.0ms
(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
16.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
14.0ms
(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))

series287.0ms

Counts
4 → 12
Calls
4 calls:
103.0ms
(/ 1 (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
60.0ms
(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
59.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
65.0ms
(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))

simplify64.0ms

Algorithm
egg-herbie
Counts
238 → 238
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
06192005
122581881
250011838

prune1.0s

Filtered
238 candidates to 126 candidates (52.9%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New2380238
Fresh011
Picked011
Done000
Total2382240

Merged error: 0.0b

Counts
240 → 2

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
0.0b
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
0.0b
(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
2.1b
(- (* (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)) (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))) (* 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))

rewrite257.0ms

Algorithm
rewrite-expression-head
Rules
277×*-un-lft-identity
135×times-frac
111×add-sqr-sqrt
96×distribute-lft-out--
79×add-cube-cbrt
65×distribute-rgt-neg-in
60×distribute-frac-neg
58×exp-neg
56×distribute-lft-neg-in
43×div-sub
41×neg-sub0 exp-diff
40×associate-*r/
36×distribute-lft-out associate-/l*
31×exp-prod
27×frac-sub
20×un-div-inv
16×difference-of-squares
15×sub-div
12×frac-times associate-*l/
add-exp-log neg-mul-1 add-cbrt-cube
add-log-exp
associate-/r*
pow1 associate-/l/ distribute-neg-frac
flip3-- flip-- div-inv
cbrt-undiv frac-2neg div-exp clear-num
associate-+r- sub-neg distribute-rgt-out-- diff-log unsub-neg rem-exp-log
Counts
4 → 279
Calls
4 calls:
15.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
15.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
14.0ms
(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
193.0ms
(- (* (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)) (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))) (* 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))

series325.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
60.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
59.0ms
(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
148.0ms
(- (* (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)) (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))) (* 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))

simplify74.0ms

Algorithm
egg-herbie
Counts
291 → 291
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
06633271
120372833
250012639

prune1.3s

Filtered
291 candidates to 152 candidates (52.2%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2910291
Fresh000
Picked011
Done011
Total2912293

Merged error: 0.0b

Counts
293 → 2

regimes258.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04018
14018

end0.0ms

sample972.0ms

Algorithm
intervals
Results
588.0ms7999×body80valid
0.0msbody1280valid