Details

sample75.0ms

Algorithm

intervals

Results

30.0ms

256×

body

valid

simplify11.5s

Counts

1 → 1

Iterations

Useful iterations: 4 (215.0ms)

Iter	Nodes	Cost
0	27	31
1	49	30
2	120	30
3	279	30
4	509	29
5	883	29
6	1498	29
7	2272	29
8	3126	29
9	3718	29
10	3966	29
11	3974	29
done	3974	29

prune23.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.7s

Algorithm

rewrite-expression-head

Rules

153×	`*-un-lft-identity`
69×	`times-frac`
54×	`add-sqr-sqrt`
46×	`add-cube-cbrt`
37×	`distribute-lft-out`
33×	`distribute-lft-out--`
22×	`exp-prod`
16×	`associate-/l*`
10×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
5×	`add-log-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `div-inv` `associate-/l/` `difference-of-squares`
3×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num`
2×	`associate-+r-` `flip3-+` `associate-/r/` `flip-+`
1×	`flip3--` `exp-diff` `flip--` `rem-exp-log`

Counts

4 → 160

Calls

4 calls:

846.0ms	(/ NdChar (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0))
463.0ms	(/ (- (+ (+ Ev Vef) EAccept) mu) KbT)
163.0ms	(/ (+ mu (- EDonor (- Ec Vef))) KbT)
210.0ms	(exp (/ (+ mu (- EDonor (- Ec Vef))) KbT))

series507.0ms

Counts

4 → 12

Calls

4 calls:

240.0ms	(/ NdChar (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0))
90.0ms	(/ (- (+ (+ Ev Vef) EAccept) mu) KbT)
85.0ms	(/ (+ mu (- EDonor (- Ec Vef))) KbT)
91.0ms	(exp (/ (+ mu (- EDonor (- Ec Vef))) KbT))

simplify1.0s

Counts

172 → 172

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	244	2644
1	541	2537
2	1537	2399
done	5001	2381

prune943.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ NdChar (+ (exp (/ 1 (/ KbT (+ mu (- EDonor (- Ec Vef)))))) 1.0))
0.0b	(/ (- (+ (+ Ev Vef) EAccept) mu) KbT)
0.0b	(exp (/ 1 (/ KbT (+ mu (- EDonor (- Ec Vef))))))
0.3b	(/ 1 (/ KbT (+ mu (- EDonor (- Ec Vef)))))

rewrite2.0s

Algorithm

rewrite-expression-head

Rules

378×	`*-un-lft-identity`
303×	`times-frac`
153×	`add-sqr-sqrt`
145×	`add-cube-cbrt`
79×	`distribute-lft-out`
77×	`exp-prod`
75×	`distribute-lft-out--`
31×	`associate-/r*`
19×	`add-exp-log`
18×	`associate-/r/`
13×	`add-cbrt-cube` `associate-/l*`
11×	`div-inv`
9×	`div-exp`
8×	`flip3-+` `flip-+`
5×	`pow1` `cbrt-undiv` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `difference-of-squares`
3×	`frac-2neg` `clear-num`
2×	`rec-exp` `1-exp` `associate-/l/`
1×	`flip3--` `pow-flip` `div-sub` `flip--` `rem-exp-log` `inv-pow`

Counts

4 → 292

Calls

4 calls:

1.1s	(/ NdChar (+ (exp (/ 1 (/ KbT (+ mu (- EDonor (- Ec Vef)))))) 1.0))
476.0ms	(/ (- (+ (+ Ev Vef) EAccept) mu) KbT)
261.0ms	(exp (/ 1 (/ KbT (+ mu (- EDonor (- Ec Vef))))))
155.0ms	(/ 1 (/ KbT (+ mu (- EDonor (- Ec Vef)))))

series421.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(/ NdChar (+ (exp (/ 1 (/ KbT (+ mu (- EDonor (- Ec Vef)))))) 1.0))
79.0ms	(/ (- (+ (+ Ev Vef) EAccept) mu) KbT)
134.0ms	(exp (/ 1 (/ KbT (+ mu (- EDonor (- Ec Vef))))))
86.0ms	(/ 1 (/ KbT (+ mu (- EDonor (- Ec Vef)))))

simplify1.2s

Counts

304 → 304

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	373	5347
1	774	4619
2	1919	4140
done	5000	4107

prune1.4s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (/ 1 (/ KbT (+ mu (- EDonor (- Ec Vef))))))
0.1b	(/ NdChar (sqrt (+ 1.0 (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)))))
0.1b	(/ (/ NdChar (sqrt (+ 1.0 (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT))))) (sqrt (+ (exp (/ 1 (/ KbT (+ mu (- EDonor (- Ec Vef)))))) 1.0)))
0.3b	(/ 1 (/ KbT (+ mu (- EDonor (- Ec Vef)))))

rewrite2.5s

Algorithm

rewrite-expression-head

Rules

648×	`times-frac`
609×	`*-un-lft-identity`
308×	`add-sqr-sqrt` `add-cube-cbrt`
224×	`sqrt-prod`
119×	`distribute-lft-out`
77×	`exp-prod`
63×	`distribute-lft-out--`
38×	`associate-/r*`
36×	`associate-/r/`
33×	`associate-/l*`
22×	`add-exp-log`
20×	`sqrt-div`
19×	`div-inv`
17×	`flip3-+` `flip-+`
16×	`add-cbrt-cube`
11×	`div-exp`
7×	`cbrt-undiv`
5×	`pow1` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`frac-2neg` `clear-num`
2×	`rec-exp` `1-exp`
1×	`pow-flip` `rem-exp-log` `associate-/l/` `inv-pow`

Counts

4 → 498

Calls

4 calls:

320.0ms	(exp (/ 1 (/ KbT (+ mu (- EDonor (- Ec Vef))))))
463.0ms	(/ NdChar (sqrt (+ 1.0 (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)))))
1.5s	(/ (/ NdChar (sqrt (+ 1.0 (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT))))) (sqrt (+ (exp (/ 1 (/ KbT (+ mu (- EDonor (- Ec Vef)))))) 1.0)))
171.0ms	(/ 1 (/ KbT (+ mu (- EDonor (- Ec Vef)))))

series776.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(exp (/ 1 (/ KbT (+ mu (- EDonor (- Ec Vef))))))
270.0ms	(/ NdChar (sqrt (+ 1.0 (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)))))
226.0ms	(/ (/ NdChar (sqrt (+ 1.0 (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT))))) (sqrt (+ (exp (/ 1 (/ KbT (+ mu (- EDonor (- Ec Vef)))))) 1.0)))
101.0ms	(/ 1 (/ KbT (+ mu (- EDonor (- Ec Vef)))))

simplify1.7s

Counts

510 → 510

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	581	19374
1	1250	17275
2	2706	15063
done	5002	14587

prune2.4s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes380.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	31
1	35	31
done	35	31

end0.0ms

sample1.7s

Algorithm

intervals

Results

1000.0ms	7998×	body	80	valid
1.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid