Details

Time bar (total: 10.1s)

sample42.0ms

Algorithm
intervals
Results
21.0ms256×body80valid

simplify46.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04917
112017
231117
367717
4142217
5272617
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
(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
0.0b
(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
0.0b
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
0.1b
(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))

rewrite1.3s

Algorithm
rewrite-expression-head
Rules
208×*-un-lft-identity
120×times-frac
100×add-sqr-sqrt
84×distribute-lft-out--
72×add-cube-cbrt
58×exp-prod
49×distribute-lft-neg-in distribute-rgt-neg-in
21×associate-/l*
14×difference-of-squares
8×add-exp-log add-cbrt-cube
7×neg-mul-1 associate-/r* add-log-exp
5×distribute-lft-out
4×pow1
3×div-inv
2×cbrt-undiv neg-sub0 frac-2neg flip3-+ div-sub distribute-frac-neg div-exp clear-num associate-/r/ flip-+ associate-/l/ distribute-neg-frac
1×+-commutative exp-neg flip3-- exp-diff sum-log flip-- rem-exp-log
Counts
4 → 204
Calls
4 calls:
246.0ms
(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
489.0ms
(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
256.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
343.0ms
(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))

series314.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
130.0ms
(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
61.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
55.0ms
(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))

simplify50.0ms

Algorithm
egg-herbie
Counts
216 → 216
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
05471907
116071825
250021801

prune899.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- (- (- Ec Vef) EDonor) mu))
0.6b
(cbrt KbT)
0.6b
(cbrt KbT)
0.6b
(cbrt KbT)

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
16×cbrt-prod
10×add-sqr-sqrt
8×add-cube-cbrt
6×distribute-lft-out--
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
2×cbrt-div
1×flip3-- flip-- difference-of-squares
Counts
4 → 50
Calls
4 calls:
40.0ms
(cbrt (- (- (- Ec Vef) EDonor) mu))
1.0ms
(cbrt KbT)
1.0ms
(cbrt KbT)
1.0ms
(cbrt KbT)

series979.0ms

Counts
4 → 12
Calls
4 calls:
427.0ms
(cbrt (- (- (- Ec Vef) EDonor) mu))
181.0ms
(cbrt KbT)
179.0ms
(cbrt KbT)
191.0ms
(cbrt KbT)

simplify40.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 3 (36.0ms)

IterNodesCost
0174285
1397260
21369252
35001249

prune419.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite981.0ms

Algorithm
rewrite-expression-head
Rules
193×*-un-lft-identity
108×times-frac
91×add-sqr-sqrt
84×distribute-lft-out--
63×add-cube-cbrt
58×exp-prod
49×distribute-lft-neg-in distribute-rgt-neg-in
18×associate-/l*
14×difference-of-squares
9×add-log-exp
7×neg-mul-1
6×add-exp-log add-cbrt-cube
4×pow1
3×associate-/r*
2×+-commutative neg-sub0 flip3-+ div-sub distribute-frac-neg sum-log flip-+ div-inv associate-/l/ distribute-neg-frac distribute-lft-out
1×cbrt-undiv exp-neg flip3-- frac-2neg exp-diff div-exp clear-num flip-- rem-exp-log
Counts
4 → 183
Calls
4 calls:
123.0ms
(+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))
247.0ms
(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
257.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
343.0ms
(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))

series249.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))
66.0ms
(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
54.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
59.0ms
(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))

simplify101.0ms

Algorithm
egg-herbie
Counts
195 → 195
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
05021595
114291534
246521511
350011508

prune777.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.1s

Algorithm
rewrite-expression-head
Rules
198×*-un-lft-identity
108×times-frac
94×add-sqr-sqrt
84×distribute-lft-out--
66×add-cube-cbrt
58×exp-prod
49×distribute-lft-neg-in distribute-rgt-neg-in
18×associate-/l*
14×difference-of-squares
7×add-exp-log neg-mul-1 add-cbrt-cube add-log-exp
5×pow1
4×unpow-prod-down cube-prod
3×pow-unpow associate-/r* distribute-lft-out
2×cube-div neg-sub0 flip3-+ div-sub distribute-frac-neg flip-+ div-inv associate-/l/ distribute-neg-frac
1×cbrt-undiv +-commutative exp-neg cube-mult pow-to-exp flip3-- pow-pow frac-2neg exp-diff unpow3 div-exp pow-exp clear-num sum-log flip-- rem-exp-log rem-cube-cbrt sqr-pow
Counts
4 → 198
Calls
4 calls:
249.0ms
(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
240.0ms
(pow (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))) 3)
255.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
339.0ms
(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))

series310.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
127.0ms
(pow (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))) 3)
57.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
59.0ms
(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))

simplify63.0ms

Algorithm
egg-herbie
Counts
210 → 210
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
05941797
120251703
250031673

prune957.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes276.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04433
14433

end0.0ms

sample1.0s

Algorithm
intervals
Results
595.0ms7998×body80valid
0.0ms2×body320valid