Details

sample81.0ms

Algorithm

intervals

Results

37.0ms

256×

body

valid

simplify968.0ms

Counts

1 → 1

Iterations

Useful iterations: 4 (253.0ms)

Iter	Nodes	Cost
0	27	31
1	49	30
2	120	30
3	366	30
4	1362	29
done	5001	29

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.8s

Algorithm

rewrite-expression-head

Rules

139×	`*-un-lft-identity`
57×	`times-frac`
46×	`add-sqr-sqrt`
38×	`add-cube-cbrt`
34×	`distribute-lft-out`
33×	`distribute-lft-out--`
22×	`exp-prod`
13×	`associate-/l*`
8×	`add-exp-log` `add-cbrt-cube`
7×	`add-log-exp`
6×	`associate-/r*`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `associate-/l/` `difference-of-squares`
3×	`fma-def` `div-sub` `div-inv`
2×	`cbrt-undiv` `associate-+r-` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+`
1×	`+-commutative` `flip3--` `exp-diff` `sum-log` `flip--` `rem-exp-log`

Counts

4 → 142

Calls

4 calls:

728.0ms	(+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)
182.0ms	(/ (+ mu (- EDonor (- Ec Vef))) KbT)
571.0ms	(/ (- (+ (+ Ev Vef) EAccept) mu) KbT)
278.0ms	(exp (/ (+ mu (- EDonor (- Ec Vef))) KbT))

series382.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)
67.0ms	(/ (+ mu (- EDonor (- Ec Vef))) KbT)
98.0ms	(/ (- (+ (+ Ev Vef) EAccept) mu) KbT)
110.0ms	(exp (/ (+ mu (- EDonor (- Ec Vef))) KbT))

simplify1.3s

Counts

154 → 154

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	193	2105
1	447	2019
2	1677	1910
done	5002	1906

prune1.1s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow E (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)
0.0b	(/ (+ mu (- EDonor (- Ec Vef))) KbT)
0.0b	(pow E (/ (+ mu (- EDonor (- Ec Vef))) KbT))
0.0b	(/ (- (+ (+ Ev Vef) EAccept) mu) KbT)

rewrite898.0ms

Algorithm

rewrite-expression-head

Rules

141×	`*-un-lft-identity`
57×	`times-frac`
48×	`add-sqr-sqrt`
40×	`add-cube-cbrt`
34×	`distribute-lft-out`
33×	`distribute-lft-out--`
22×	`pow-unpow`
13×	`associate-/l*`
9×	`add-exp-log`
8×	`add-cbrt-cube`
7×	`fma-def`
6×	`unpow-prod-down` `associate-/r*` `add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l/` `difference-of-squares`
3×	`div-sub` `div-inv`
2×	`cbrt-undiv` `associate-+r-` `frac-2neg` `flip3-+` `div-exp` `pow-exp` `clear-num` `flip-+` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `e-exp-1` `flip3--` `pow-pow` `sum-log` `flip--` `pow-sub`

Counts

4 → 153

Calls

4 calls:

23.0ms	(+ (pow E (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)
161.0ms	(/ (+ mu (- EDonor (- Ec Vef))) KbT)
93.0ms	(pow E (/ (+ mu (- EDonor (- Ec Vef))) KbT))
613.0ms	(/ (- (+ (+ Ev Vef) EAccept) mu) KbT)

series376.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(+ (pow E (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)
92.0ms	(/ (+ mu (- EDonor (- Ec Vef))) KbT)
101.0ms	(pow E (/ (+ mu (- EDonor (- Ec Vef))) KbT))
66.0ms	(/ (- (+ (+ Ev Vef) EAccept) mu) KbT)

simplify1.9s

Counts

165 → 165

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	208	2307
1	558	2177
2	2519	2053
done	5000	2051

prune1.6s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0.0b

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	30
1	34	30
2	36	30
done	36	30

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.7s	7999×	body	80	valid
0.0ms	1×	body	640	valid