Details

sample44.0ms

Algorithm

intervals

Results

22.0ms

256×

body

valid

simplify6.3s

Counts

1 → 1

Iterations

Useful iterations: 4 (96.0ms)

Iter	Nodes	Cost
0	27	31
1	49	30
2	117	30
3	275	30
4	493	29
5	907	29
6	1532	29
7	2568	29
8	3445	29
9	4355	29
10	4704	29
done	4704	29

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

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)

rewrite638.0ms

Algorithm

rewrite-expression-head

Rules

119×	`*-un-lft-identity`
51×	`times-frac`
45×	`add-sqr-sqrt`
37×	`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` `expm1-log1p-u` `log1p-expm1-u` `associate-/l/` `difference-of-squares`
3×	`cbrt-undiv` `fma-def` `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 → 144

Calls

4 calls:

106.0ms	(+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)))
293.0ms	(/ NdChar (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0))
65.0ms	(/ (+ mu (- EDonor (- Ec Vef))) KbT)
168.0ms	(/ (- (+ (+ Ev Vef) EAccept) mu) KbT)

series295.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)))
127.0ms	(/ NdChar (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0))
54.0ms	(/ (+ mu (- EDonor (- Ec Vef))) KbT)
52.0ms	(/ (- (+ (+ Ev Vef) EAccept) mu) KbT)

simplify768.0ms

Counts

156 → 156

Iterations

Useful iterations: done (759.0ms)

Iter	Nodes	Cost
0	244	2559
1	574	2477
2	1520	2307
done	5000	2289

prune611.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

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` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp` `difference-of-squares`
2×	`div-sub`
1×	`associate-+r-` `flip3--` `flip--`

Counts

4 → 381

Calls

4 calls:

63.0ms	(/ (+ mu (- EDonor (- Ec Vef))) KbT)
160.0ms	(/ (- (+ (+ Ev Vef) EAccept) mu) KbT)
745.0ms	(/ (/ NdChar (sqrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0))) (sqrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)))
296.0ms	(/ NdChar (sqrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)))

series408.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(/ (+ mu (- EDonor (- Ec Vef))) KbT)
52.0ms	(/ (- (+ (+ Ev Vef) EAccept) mu) KbT)
132.0ms	(/ (/ NdChar (sqrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0))) (sqrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)))
170.0ms	(/ NdChar (sqrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)))

simplify1.0s

Counts

393 → 393

Iterations

Useful iterations: done (985.0ms)

Iter	Nodes	Cost
0	458	16250
1	1069	14194
2	2646	13180
done	5000	13178

prune1.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite958.0ms

Algorithm

rewrite-expression-head

Rules

32×	`sqrt-prod`
20×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
14×	`cbrt-prod`
12×	`add-cube-cbrt` `sqrt-div`
8×	`pow1` `sqrt-pow1`
4×	`add-exp-log` `expm1-log1p-u` `rem-sqrt-square` `cbrt-div` `flip3-+` `pow1/2` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
2×	`pow1/3`

Counts

4 → 86

Calls

4 calls:

148.0ms	(cbrt (sqrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)))
150.0ms	(cbrt (sqrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)))
353.0ms	(sqrt (sqrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)))
303.0ms	(sqrt (sqrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)))

series886.0ms

Counts

4 → 12

Calls

4 calls:

222.0ms	(cbrt (sqrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)))
224.0ms	(cbrt (sqrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)))
217.0ms	(sqrt (sqrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)))
222.0ms	(sqrt (sqrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)))

simplify959.0ms

Counts

98 → 98

Iterations

Useful iterations: 3 (254.0ms)

Iter	Nodes	Cost
0	117	2290
1	254	2100
2	667	1920
3	2097	1850
done	5000	1850

prune587.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (sqrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)))
0.2b	(pow (sqrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)) 1/3)
0.2b	(sqrt (sqrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)))
0.2b	(sqrt (sqrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

32×	`sqrt-prod`
21×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
13×	`add-cube-cbrt`
10×	`pow1` `sqrt-div`
9×	`sqrt-pow1`
7×	`cbrt-prod` `unpow-prod-down`
5×	`add-exp-log` `pow1/2`
4×	`expm1-log1p-u` `rem-sqrt-square` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
3×	`pow-unpow` `pow-pow` `flip3-+` `flip-+`
2×	`cbrt-div`
1×	`pow-to-exp` `unpow1/3` `pow1/3` `pow-exp` `sqrt-pow2` `sqr-pow`

Counts

4 → 94

Calls

4 calls:

151.0ms	(cbrt (sqrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)))
299.0ms	(pow (sqrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)) 1/3)
299.0ms	(sqrt (sqrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)))
300.0ms	(sqrt (sqrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)))

series971.0ms

Counts

4 → 12

Calls

4 calls:

219.0ms	(cbrt (sqrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)))
305.0ms	(pow (sqrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)) 1/3)
222.0ms	(sqrt (sqrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)))
225.0ms	(sqrt (sqrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)))

simplify1.1s

Counts

106 → 106

Iterations

Useful iterations: 3 (405.0ms)

Iter	Nodes	Cost
0	166	2390
1	383	2091
2	1039	1889
3	3215	1813
done	5001	1813

prune650.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes321.0ms

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 (1.0ms)

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

end0.0ms

sample1.0s

Algorithm

intervals

Results

602.0ms	8000×	body	80	valid
1.0ms	2×	body	10240	exit