Details

sample39.0ms

Algorithm

intervals

Results

17.0ms

256×

body

valid

simplify6.2s

Counts

1 → 1

Iterations

Useful iterations: 4 (92.0ms)

Iter	Nodes	Cost
0	27	31
1	49	30
2	117	30
3	275	30
4	493	29
5	904	29
6	1525	29
7	2557	29
8	3419	29
9	4319	29
10	4692	29
done	4692	29

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite636.0ms

Algorithm

rewrite-expression-head

Rules

118×	`*-un-lft-identity`
51×	`times-frac`
44×	`add-sqr-sqrt`
36×	`add-cube-cbrt`
29×	`distribute-lft-out`
24×	`distribute-lft-out--`
16×	`associate-/l*`
10×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
6×	`add-log-exp`
4×	`pow1` `associate-/l/` `difference-of-squares`
3×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv`
2×	`div-sub` `associate-/r/`
1×	`+-commutative` `associate-+r-` `flip3--` `sum-log` `flip--`

Counts

4 → 133

Calls

4 calls:

111.0ms	(+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)))
304.0ms	(/ NdChar (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0))
66.0ms	(/ (+ mu (- EDonor (- Ec Vef))) KbT)
149.0ms	(/ (- (+ (+ Ev Vef) EAccept) mu) KbT)

series314.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)))
135.0ms	(/ NdChar (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0))
55.0ms	(/ (+ mu (- EDonor (- Ec Vef))) KbT)
59.0ms	(/ (- (+ (+ Ev Vef) EAccept) mu) KbT)

simplify1.7s

Counts

145 → 145

Iterations

Useful iterations: 3 (963.0ms)

Iter	Nodes	Cost
0	236	2463
1	555	2388
2	1447	2216
3	4831	2200
done	5000	2200

prune618.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.3s

Algorithm

rewrite-expression-head

Rules

417×	`times-frac`
395×	`*-un-lft-identity`
224×	`sqrt-prod`
219×	`add-sqr-sqrt`
211×	`add-cube-cbrt`
80×	`distribute-lft-out`
43×	`associate-/l*`
24×	`distribute-lft-out--`
20×	`sqrt-div` `associate-/r*` `associate-/r/`
15×	`add-exp-log` `add-cbrt-cube`
12×	`div-inv`
11×	`flip3-+` `flip-+`
6×	`cbrt-undiv` `div-exp`
5×	`associate-/l/`
4×	`pow1` `frac-2neg` `clear-num` `add-log-exp` `difference-of-squares`
2×	`div-sub`
1×	`associate-+r-` `flip3--` `flip--`

Counts

4 → 373

Calls

4 calls:

67.0ms	(/ (+ mu (- EDonor (- Ec Vef))) KbT)
150.0ms	(/ (- (+ (+ Ev Vef) EAccept) mu) KbT)
775.0ms	(/ (/ NdChar (sqrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0))) (sqrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)))
308.0ms	(/ NdChar (sqrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)))

series430.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(/ (+ mu (- EDonor (- Ec Vef))) KbT)
58.0ms	(/ (- (+ (+ Ev Vef) EAccept) mu) KbT)
134.0ms	(/ (/ NdChar (sqrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0))) (sqrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)))
179.0ms	(/ NdChar (sqrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)))

simplify1.0s

Counts

385 → 385

Iterations

Useful iterations: done (987.0ms)

Iter	Nodes	Cost
0	450	16118
1	1048	14102
2	2568	13101
done	5000	13099

prune1.3s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (/ 1 (fabs (cbrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)))) (sqrt (sqrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0))))
0.2b	(sqrt (sqrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)))
0.2b	(sqrt (sqrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)))
0.3b	(sqrt (cbrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)))

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

229×	`times-frac`
185×	`sqrt-prod`
163×	`*-un-lft-identity`
135×	`add-sqr-sqrt`
129×	`add-cube-cbrt`
17×	`distribute-lft-out`
14×	`sqrt-div`
13×	`add-exp-log` `associate-/l*`
12×	`div-inv`
10×	`sqrt-pow1` `associate-/r*`
9×	`pow1` `add-cbrt-cube`
6×	`rem-sqrt-square` `div-exp`
5×	`cbrt-prod` `pow1/2`
4×	`flip3-+` `flip-+` `add-log-exp`
3×	`cbrt-undiv`
2×	`cbrt-div` `associate-/r/`
1×	`rec-exp` `frac-2neg` `pow1/3` `1-exp` `clear-num` `associate-/l/`

Counts

4 → 237

Calls

4 calls:

313.0ms	(/ (/ 1 (fabs (cbrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)))) (sqrt (sqrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0))))
306.0ms	(sqrt (sqrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)))
307.0ms	(sqrt (sqrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)))
306.0ms	(sqrt (cbrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)))

series1.1s

Counts

4 → 12

Calls

4 calls:

426.0ms	(/ (/ 1 (fabs (cbrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)))) (sqrt (sqrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0))))
235.0ms	(sqrt (sqrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)))
233.0ms	(sqrt (sqrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)))
229.0ms	(sqrt (cbrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)))

simplify848.0ms

Counts

249 → 249

Iterations

Useful iterations: 2 (311.0ms)

Iter	Nodes	Cost
0	387	12000
1	867	10911
2	1953	10531
done	5001	10531

prune1000.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (/ 1 (fabs (cbrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)))) (sqrt (sqrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0))))
0.2b	(pow (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0) 1/6)
0.2b	(sqrt (sqrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)))
0.2b	(sqrt (sqrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)))

rewrite1.3s

Algorithm

rewrite-expression-head

Rules

229×	`times-frac`
178×	`sqrt-prod`
163×	`*-un-lft-identity`
133×	`add-sqr-sqrt`
129×	`add-cube-cbrt`
17×	`distribute-lft-out`
14×	`add-exp-log`
13×	`associate-/l*`
12×	`sqrt-div` `div-inv`
10×	`associate-/r*`
9×	`pow1` `add-cbrt-cube`
8×	`sqrt-pow1`
6×	`div-exp`
4×	`unpow-prod-down` `rem-sqrt-square` `pow1/2` `add-log-exp`
3×	`cbrt-undiv` `pow-unpow` `flip3-+` `flip-+`
2×	`associate-/r/`
1×	`pow-to-exp` `rec-exp` `pow-pow` `frac-2neg` `1-exp` `pow-exp` `clear-num` `associate-/l/` `sqr-pow`

Counts

4 → 234

Calls

4 calls:

309.0ms	(/ (/ 1 (fabs (cbrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)))) (sqrt (sqrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0))))
352.0ms	(pow (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0) 1/6)
306.0ms	(sqrt (sqrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)))
308.0ms	(sqrt (sqrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)))

series1.3s

Counts

4 → 12

Calls

4 calls:

416.0ms	(/ (/ 1 (fabs (cbrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)))) (sqrt (sqrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0))))
404.0ms	(pow (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0) 1/6)
217.0ms	(sqrt (sqrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)))
222.0ms	(sqrt (sqrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)))

simplify909.0ms

Counts

246 → 246

Iterations

Useful iterations: 2 (366.0ms)

Iter	Nodes	Cost
0	388	11916
1	897	10844
2	2036	10479
done	5001	10479

prune924.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes302.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	29
1	31	29
done	31	29

end0.0ms

sample905.0ms

Algorithm

intervals

Results

532.0ms	8000×	body	80	valid
1.0ms	2×	body	10240	exit