Details

Time bar (total: 5.4s)

sample39.0ms

Algorithm
intervals
Results
19.0ms256×body80valid

simplify46.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04917
112017
231117
367717
4142517
5273317
6500117

prune5.0ms

Filtered
1 candidates to 0 candidates (0.0%)
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
(/ 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)

rewrite879.0ms

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 expm1-log1p-u neg-mul-1 log1p-expm1-u 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 → 230
Calls
4 calls:
240.0ms
(/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))
181.0ms
(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
287.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
160.0ms
(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)

series313.0ms

Counts
4 → 12
Calls
4 calls:
136.0ms
(/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))
61.0ms
(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
57.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
59.0ms
(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)

simplify62.0ms

Algorithm
egg-herbie
Counts
242 → 242
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
06552042
123331938
250011912

prune891.0ms

Filtered
242 candidates to 141 candidates (58.3%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize26.0ms

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)

rewrite647.0ms

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 expm1-log1p-u neg-mul-1 log1p-expm1-u 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 → 230
Calls
4 calls:
6.0ms
(/ NaChar (+ 1.0 (expm1 (log1p (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))))
182.0ms
(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
287.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
160.0ms
(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)

series376.0ms

Counts
4 → 12
Calls
4 calls:
192.0ms
(/ NaChar (+ 1.0 (expm1 (log1p (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))))
64.0ms
(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
58.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
62.0ms
(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)

simplify66.0ms

Algorithm
egg-herbie
Counts
242 → 242
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
06592141
123432009
250011976

prune1.0s

Filtered
242 candidates to 142 candidates (58.7%)
Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03719
13719

end0.0ms

sample995.0ms

Algorithm
intervals
Results
612.0ms7998×body80valid
0.0msbody320valid
0.0msbody160valid