Details

Time bar (total: 7.6s)

sample44.0ms

Algorithm
intervals
Results
23.0ms256×body80valid

simplify47.0ms

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

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
0.0b
(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
0.0b
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
0.2b
(/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
227×*-un-lft-identity
105×times-frac
83×add-sqr-sqrt
67×add-cube-cbrt
56×distribute-lft-out
48×distribute-lft-out--
40×distribute-rgt-neg-in
33×associate-/l*
28×distribute-lft-neg-in
14×associate-/r*
12×add-exp-log add-cbrt-cube
8×difference-of-squares
4×pow1 cbrt-undiv expm1-log1p-u neg-mul-1 frac-2neg div-sub div-exp clear-num associate-/r/ log1p-expm1-u div-inv associate-/l/ add-log-exp
3×flip3-+ flip-+
2×neg-sub0 distribute-neg-frac
1×associate-+r- flip3-- distribute-frac-neg unsub-neg flip--
Counts
4 → 221
Calls
4 calls:
15.0ms
(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
16.0ms
(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
25.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
16.0ms
(/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))

series380.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
132.0ms
(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
54.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
138.0ms
(/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))

simplify68.0ms

Algorithm
egg-herbie
Counts
233 → 233
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
07832274
127542136
250022111

prune1.1s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
0.1b
(/ NdChar (sqrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))))
0.1b
(/ (/ NdChar (sqrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))) (sqrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))))
0.2b
(/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))

rewrite133.0ms

Algorithm
rewrite-expression-head
Rules
444×times-frac
420×*-un-lft-identity
244×add-sqr-sqrt
228×add-cube-cbrt
224×sqrt-prod
60×distribute-lft-out
51×associate-/l*
48×distribute-lft-out--
28×distribute-lft-neg-in distribute-rgt-neg-in
22×associate-/r/
21×associate-/r*
20×sqrt-div
15×add-exp-log add-cbrt-cube
12×div-inv
11×flip3-+ flip-+
8×difference-of-squares
6×cbrt-undiv div-exp
4×pow1 expm1-log1p-u neg-mul-1 frac-2neg clear-num log1p-expm1-u add-log-exp
3×associate-/l/
2×distribute-neg-frac
1×neg-sub0 flip3-- div-sub distribute-frac-neg flip--
Counts
4 → 417
Calls
4 calls:
22.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
18.0ms
(/ NdChar (sqrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))))
45.0ms
(/ (/ NdChar (sqrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))) (sqrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))))
16.0ms
(/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))

series494.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
173.0ms
(/ NdChar (sqrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))))
136.0ms
(/ (/ NdChar (sqrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))) (sqrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))))
129.0ms
(/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))

simplify141.0ms

Algorithm
egg-herbie
Counts
429 → 429
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
012219897
141579019
250019001

prune1.6s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
0.0b
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
0.2b
(/ 1 (sqrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))))
0.2b
(/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
251×*-un-lft-identity
141×times-frac
123×add-sqr-sqrt
96×distribute-lft-out--
91×add-cube-cbrt
56×distribute-lft-neg-in distribute-rgt-neg-in
42×associate-/l*
17×associate-/r*
16×sqrt-prod difference-of-squares
14×add-exp-log
12×add-cbrt-cube
8×neg-mul-1 distribute-lft-out
6×pow1
5×div-exp
4×cbrt-undiv expm1-log1p-u frac-2neg clear-num associate-/r/ log1p-expm1-u div-inv associate-/l/ distribute-neg-frac add-log-exp
3×pow-flip
2×neg-sub0 flip3-- flip3-+ sqrt-div div-sub distribute-frac-neg flip-- flip-+
1×rec-exp sqrt-pow1 pow1/2 1-exp inv-pow
Counts
4 → 274
Calls
4 calls:
23.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
22.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
23.0ms
(/ 1 (sqrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))))
16.0ms
(/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))

series443.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
59.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
190.0ms
(/ 1 (sqrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))))
139.0ms
(/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))

simplify72.0ms

Algorithm
egg-herbie
Counts
286 → 286
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
06482931
121462779
250022714

prune1.5s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes358.0ms

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
03517
13517

end0.0ms

sample1.0s

Algorithm
intervals
Results
628.0ms8000×body80valid