Details

Time bar (total: 9.3s)

sample43.0ms

Algorithm
intervals
Results
21.0ms256×body80valid

simplify49.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04917
112017
231117
367717
4142517
5273317
6500117

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
0.0b
(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
0.0b
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
0.1b
(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))

rewrite848.0ms

Algorithm
rewrite-expression-head
Rules
263×*-un-lft-identity
108×times-frac
85×distribute-lft-out
79×add-sqr-sqrt
63×add-cube-cbrt
49×distribute-rgt-neg-in
48×distribute-lft-out--
31×exp-prod
28×distribute-lft-neg-in
27×associate-/l*
8×add-exp-log add-cbrt-cube difference-of-squares
7×div-sub add-log-exp
6×associate-/r*
4×pow1 expm1-log1p-u neg-mul-1 log1p-expm1-u associate-/l/
3×neg-sub0 fma-def exp-diff div-inv
2×cbrt-undiv associate-+r- frac-2neg flip3-+ div-exp unsub-neg clear-num flip-+ distribute-neg-frac
1×+-commutative flip3-- distribute-frac-neg sum-log flip-- rem-exp-log
Counts
4 → 212
Calls
4 calls:
150.0ms
(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
237.0ms
(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
275.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
174.0ms
(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))

series248.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
69.0ms
(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
56.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
63.0ms
(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))

simplify60.0ms

Algorithm
egg-herbie
Counts
224 → 224
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
05641743
120101647
250011621

prune823.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
0.0b
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
0.0b
(pow (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))) 3)
0.1b
(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))

rewrite1.2s

Algorithm
rewrite-expression-head
Rules
184×*-un-lft-identity
81×times-frac
68×add-sqr-sqrt
52×add-cube-cbrt
48×distribute-lft-out--
39×distribute-lft-out
37×distribute-rgt-neg-in
31×exp-prod
28×distribute-lft-neg-in
18×associate-/l*
8×difference-of-squares
7×add-exp-log add-cbrt-cube add-log-exp
5×pow1
4×expm1-log1p-u neg-mul-1 unpow-prod-down div-sub cube-prod log1p-expm1-u
3×pow-unpow fma-def exp-diff associate-/r*
2×cube-div neg-sub0 flip3-+ flip-+ div-inv associate-/l/ distribute-neg-frac
1×cbrt-undiv +-commutative cube-mult pow-to-exp associate-+r- flip3-- pow-pow frac-2neg unpow3 distribute-frac-neg div-exp unsub-neg pow-exp clear-num sum-log flip-- rem-exp-log rem-cube-cbrt sqr-pow
Counts
4 → 183
Calls
4 calls:
237.0ms
(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
274.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
473.0ms
(pow (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))) 3)
176.0ms
(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))

series330.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
56.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
142.0ms
(pow (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))) 3)
62.0ms
(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))

simplify63.0ms

Algorithm
egg-herbie
Counts
195 → 195
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
05901635
121381550
250011532

prune850.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (pow (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))) 3) 3)
0.0b
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
0.0b
(pow (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))) 3)
0.1b
(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))

rewrite1.9s

Algorithm
rewrite-expression-head
Rules
196×*-un-lft-identity
81×times-frac
74×add-sqr-sqrt
58×add-cube-cbrt
48×distribute-lft-out--
42×distribute-lft-out
37×distribute-rgt-neg-in
31×exp-prod
28×distribute-lft-neg-in
26×unpow-prod-down cube-prod
18×associate-/l*
9×add-exp-log
8×add-cbrt-cube difference-of-squares
6×cube-div pow-unpow
5×pow1 pow-exp add-log-exp
4×expm1-log1p-u cube-mult neg-mul-1 unpow3 div-sub log1p-expm1-u sqr-pow
3×pow-to-exp exp-diff associate-/r*
2×neg-sub0 pow-pow flip3-+ flip-+ div-inv associate-/l/ distribute-neg-frac rem-cube-cbrt
1×cbrt-undiv associate-+r- flip3-- frac-2neg distribute-frac-neg div-exp unsub-neg clear-num flip-- rem-exp-log
Counts
4 → 217
Calls
4 calls:
946.0ms
(pow (pow (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))) 3) 3)
274.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
470.0ms
(pow (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))) 3)
173.0ms
(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))

series845.0ms

Counts
4 → 12
Calls
4 calls:
586.0ms
(pow (pow (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))) 3) 3)
61.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
135.0ms
(pow (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))) 3)
63.0ms
(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))

simplify85.0ms

Algorithm
egg-herbie
Counts
229 → 229
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
07062150
126332057
250012025

prune970.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0.0b

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04021
14021

end0.0ms

sample995.0ms

Algorithm
intervals
Results
577.0ms8000×body80valid
1.0ms1×body10240exit