Details

Time bar (total: 8.8s)

sample61.0ms

Algorithm
intervals
Results
22.0ms256×body80valid

simplify43.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04917
112017
231117
367717
4142217
5272617
6500117

prune9.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite69.0ms

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:
11.0ms
(+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT)))
15.0ms
(/ NdChar (+ 1.0 (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))))
15.0ms
(/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)
18.0ms
(exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))

series120.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT)))
53.0ms
(/ NdChar (+ 1.0 (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))))
15.0ms
(/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)
26.0ms
(exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))

simplify55.0ms

Algorithm
egg-herbie
Counts
216 → 216
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
06101878
117711804
250021801

prune2.5s

Filtered
216 candidates to 137 candidates (36.6%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New2133216
Fresh000
Picked101
Done000
Total2143217

Merged error: 0.0b

Counts
217 → 3

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))
0.3b
(cbrt (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)))
0.3b
(cbrt (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)))
0.3b
(cbrt (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
89×*-un-lft-identity
58×exp-prod
54×times-frac
47×add-sqr-sqrt
36×distribute-lft-out--
35×add-cube-cbrt
21×distribute-lft-neg-in distribute-rgt-neg-in
9×cbrt-prod
6×cbrt-div difference-of-squares
5×add-log-exp
4×pow1 add-exp-log neg-sub0 exp-neg exp-diff div-sub distribute-frac-neg add-cbrt-cube
3×neg-mul-1 pow1/3
1×div-inv rem-exp-log
Counts
4 → 107
Calls
4 calls:
18.0ms
(exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))
17.0ms
(cbrt (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)))
17.0ms
(cbrt (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)))
16.0ms
(cbrt (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)))

series125.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))
33.0ms
(cbrt (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)))
37.0ms
(cbrt (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)))
34.0ms
(cbrt (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)))

simplify50.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 3 (38.0ms)

IterNodesCost
0256964
1652884
21809867
35002843

prune1.2s

Filtered
119 candidates to 78 candidates (34.5%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1181119
Fresh112
Picked101
Done000
Total1202122

Merged error: 0.0b

Counts
122 → 2

localize32.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)))
0.3b
(cbrt (cbrt (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))))
0.3b
(cbrt (cbrt (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))))
0.3b
(cbrt (cbrt (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
14×cbrt-div
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log neg-sub0 exp-neg exp-diff pow1/3 div-sub distribute-frac-neg add-cbrt-cube add-log-exp
Counts
4 → 61
Calls
4 calls:
17.0ms
(cbrt (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)))
13.0ms
(cbrt (cbrt (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))))
14.0ms
(cbrt (cbrt (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))))
13.0ms
(cbrt (cbrt (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))))

series142.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(cbrt (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)))
34.0ms
(cbrt (cbrt (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))))
38.0ms
(cbrt (cbrt (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))))
34.0ms
(cbrt (cbrt (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))))

simplify89.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 5 (81.0ms)

IterNodesCost
0131886
1315804
2859796
32013780
44423764
55001760

prune630.0ms

Filtered
73 candidates to 57 candidates (21.9%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New72173
Fresh011
Picked101
Done000
Total73275

Merged error: 0.0b

Counts
75 → 2

localize37.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (cbrt (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))))
0.3b
(cbrt (cbrt (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))))
0.3b
(cbrt (cbrt (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))))
0.3b
(cbrt (cbrt (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
16×cbrt-div
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log neg-sub0 exp-neg exp-diff pow1/3 div-sub distribute-frac-neg add-cbrt-cube add-log-exp
Counts
4 → 64
Calls
4 calls:
12.0ms
(cbrt (cbrt (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))))
12.0ms
(cbrt (cbrt (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))))
13.0ms
(cbrt (cbrt (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))))
15.0ms
(cbrt (cbrt (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))))

series142.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(cbrt (cbrt (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))))
35.0ms
(cbrt (cbrt (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))))
33.0ms
(cbrt (cbrt (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))))
38.0ms
(cbrt (cbrt (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))))

simplify68.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 5 (59.0ms)

IterNodesCost
094960
1214876
2578868
31364852
43180836
55001832

prune807.0ms

Filtered
76 candidates to 60 candidates (21.1%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New75176
Fresh011
Picked101
Done000
Total76278

Merged error: 0.0b

Counts
78 → 2

regimes903.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05295
15295

end0.0ms

sample1.4s

Algorithm
intervals
Results
672.0ms7999×body80valid
2.0ms2×body5120exit
0.0ms1×body320valid

Profiling

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