Details

Time bar (total: 7.3s)

sample40.0ms

Algorithm
intervals
Results
19.0ms256×body80valid

simplify48.0ms

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

localize27.0ms

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
209×*-un-lft-identity
120×times-frac
101×add-sqr-sqrt
84×distribute-lft-out--
73×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 expm1-log1p-u log1p-expm1-u
3×fma-def 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 → 215
Calls
4 calls:
225.0ms
(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
446.0ms
(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
258.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
308.0ms
(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))

series314.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(+ 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))

simplify56.0ms

Algorithm
egg-herbie
Counts
227 → 227
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
05631963
116571880
250011857

prune961.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

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)

rewrite39.0ms

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 expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
2×cbrt-div
1×flip3-- flip-- difference-of-squares
Counts
4 → 58
Calls
4 calls:
36.0ms
(cbrt (- (- (- Ec Vef) EDonor) mu))
0.0ms
(cbrt KbT)
0.0ms
(cbrt KbT)
1.0ms
(cbrt KbT)

series795.0ms

Counts
4 → 12
Calls
4 calls:
245.0ms
(cbrt (- (- (- Ec Vef) EDonor) mu))
181.0ms
(cbrt KbT)
181.0ms
(cbrt KbT)
188.0ms
(cbrt KbT)

simplify43.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (38.0ms)

IterNodesCost
0181307
1419282
21479273
35002267

prune504.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
0.0b
(expm1 (log1p (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
0.1b
(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
1.0b
(log1p (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))

rewrite576.0ms

Algorithm
rewrite-expression-head
Rules
189×*-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
7×neg-mul-1
6×add-exp-log add-cbrt-cube
5×expm1-log1p-u add-log-exp
4×pow1 log1p-expm1-u
3×associate-/r*
2×neg-sub0 div-sub distribute-frac-neg div-inv associate-/l/ distribute-neg-frac
1×cbrt-undiv exp-neg log1p-udef expm1-log1p flip3-- frac-2neg exp-diff log1p-expm1 div-exp clear-num flip-- rem-exp-log expm1-udef
Counts
4 → 185
Calls
4 calls:
258.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
0.0ms
(expm1 (log1p (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
308.0ms
(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
0.0ms
(log1p (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))

series314.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
91.0ms
(expm1 (log1p (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
59.0ms
(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
111.0ms
(log1p (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))

simplify94.0ms

Algorithm
egg-herbie
Counts
197 → 197
Iterations

Useful iterations: 3 (72.0ms)

IterNodesCost
04151547
111921475
240431450
350021444

prune897.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes269.0ms

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
623.0ms7998×body80valid
0.0ms2×body320valid