Details

Time bar (total: 4.2s)

sample39.0ms

Algorithm
intervals
Results
17.0ms256×body80valid

simplify46.0ms

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

rewrite79.0ms

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
8×difference-of-squares
7×div-sub
5×add-log-exp
4×pow1 expm1-log1p-u neg-mul-1 log1p-expm1-u div-inv associate-/l/
3×cbrt-undiv neg-sub0 frac-2neg exp-diff div-exp clear-num
2×associate-+r- flip3-+ unsub-neg associate-/r/ flip-+ distribute-neg-frac
1×flip3-- distribute-frac-neg flip-- rem-exp-log
Counts
4 → 230
Calls
4 calls:
14.0ms
(/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))
14.0ms
(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
21.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
18.0ms
(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)

series309.0ms

Counts
4 → 12
Calls
4 calls:
136.0ms
(/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))
55.0ms
(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
59.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
59.0ms
(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)

simplify63.0ms

Algorithm
egg-herbie
Counts
242 → 242
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
06552042
123331938
250011912

prune897.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ NaChar (+ 1.0 (expm1 (log1p (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))))
0.0b
(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
0.0b
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
0.0b
(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)

rewrite66.0ms

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
8×difference-of-squares
7×div-sub
5×add-log-exp
4×pow1 expm1-log1p-u neg-mul-1 log1p-expm1-u div-inv associate-/l/
3×cbrt-undiv neg-sub0 frac-2neg exp-diff div-exp clear-num
2×associate-+r- flip3-+ unsub-neg associate-/r/ flip-+ distribute-neg-frac
1×flip3-- distribute-frac-neg flip-- rem-exp-log
Counts
4 → 230
Calls
4 calls:
5.0ms
(/ NaChar (+ 1.0 (expm1 (log1p (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))))
15.0ms
(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
21.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
14.0ms
(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)

series362.0ms

Counts
4 → 12
Calls
4 calls:
189.0ms
(/ NaChar (+ 1.0 (expm1 (log1p (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))))
56.0ms
(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
59.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
58.0ms
(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)

simplify69.0ms

Algorithm
egg-herbie
Counts
242 → 242
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
06592141
123432009
250011976

prune1.0s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify6.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03719
13719

end0.0ms

sample1.2s

Algorithm
intervals
Results
765.0ms7998×body80valid
0.0ms1×body320valid
0.0ms1×body160valid