Details

sample81.0ms

Algorithm

intervals

Results

48.0ms

256×

body

valid

simplify528.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2000
4	799
3	286
2	115
1	51
0	27

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

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

rewrite918.0ms

Algorithm

rewrite-expression-head

Rules

153×	`*-un-lft-identity`
69×	`times-frac`
54×	`add-sqr-sqrt`
46×	`add-cube-cbrt`
39×	`distribute-lft-out`
31×	`distribute-lft-out--`
22×	`exp-prod`
16×	`associate-/l*`
10×	`associate-/r*` `add-cbrt-cube` `add-exp-log`
5×	`add-log-exp`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `div-inv` `difference-of-squares` `associate-/l/`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `div-exp`
2×	`associate-+r-` `flip3-+` `associate-/r/` `associate-+l-` `flip-+`
1×	`flip3--` `exp-diff` `flip--` `rem-exp-log`

Counts

4 → 164

Calls

4 calls:

261.0ms	(/ NaChar (+ 1 (exp (/ (+ EAccept (+ (- Vef mu) Ev)) KbT))))
242.0ms	(/ (+ EAccept (+ (- Vef mu) Ev)) KbT)
208.0ms	(/ (- EDonor (- (- Ec Vef) mu)) KbT)
201.0ms	(exp (/ (+ EAccept (+ (- Vef mu) Ev)) KbT))

series444.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(/ NaChar (+ 1 (exp (/ (+ EAccept (+ (- Vef mu) Ev)) KbT))))
60.0ms	(/ (+ EAccept (+ (- Vef mu) Ev)) KbT)
105.0ms	(/ (- EDonor (- (- Ec Vef) mu)) KbT)
101.0ms	(exp (/ (+ EAccept (+ (- Vef mu) Ev)) KbT))

simplify1.0s

Counts

176 → 176

Iterations

Iter	Nodes
done	2000
2	1734
1	587
0	254

prune1.5s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize88.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- EDonor (- (- Ec Vef) mu)) KbT)
0.0b	(exp (/ (+ EAccept (+ (- Vef mu) Ev)) KbT))
0.0b	(expm1 (log1p (exp (/ (+ EAccept (+ (- Vef mu) Ev)) KbT))))
0.5b	(log1p (exp (/ (+ EAccept (+ (- Vef mu) Ev)) KbT)))

rewrite342.0ms

Algorithm

rewrite-expression-head

Rules

89×	`*-un-lft-identity`
39×	`times-frac`
34×	`add-sqr-sqrt`
27×	`distribute-lft-out--`
26×	`add-cube-cbrt`
22×	`exp-prod`
15×	`distribute-lft-out`
7×	`associate-/l*`
6×	`add-cbrt-cube` `add-exp-log`
5×	`expm1-log1p-u` `add-log-exp`
4×	`pow1` `insert-posit16` `log1p-expm1-u` `difference-of-squares`
3×	`associate-/r*`
2×	`div-sub` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `log1p-udef` `expm1-log1p` `clear-num` `associate-+r-` `frac-2neg` `flip3--` `exp-diff` `div-exp` `log1p-expm1` `associate-+l-` `flip--` `expm1-udef` `rem-exp-log`

Counts

4 → 107

Calls

4 calls:

147.0ms	(/ (- EDonor (- (- Ec Vef) mu)) KbT)
192.0ms	(exp (/ (+ EAccept (+ (- Vef mu) Ev)) KbT))
0.0ms	(expm1 (log1p (exp (/ (+ EAccept (+ (- Vef mu) Ev)) KbT))))
0.0ms	(log1p (exp (/ (+ EAccept (+ (- Vef mu) Ev)) KbT)))

series486.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(/ (- EDonor (- (- Ec Vef) mu)) KbT)
105.0ms	(exp (/ (+ EAccept (+ (- Vef mu) Ev)) KbT))
167.0ms	(expm1 (log1p (exp (/ (+ EAccept (+ (- Vef mu) Ev)) KbT))))
129.0ms	(log1p (exp (/ (+ EAccept (+ (- Vef mu) Ev)) KbT)))

simplify603.0ms

Counts

119 → 119

Iterations

Iter	Nodes
done	2002
2	933
1	377
0	179

prune1.1s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify5.0ms

Iterations

Iter	Nodes
done	34
1	34
0	27

end0.0ms

sample3.1s

Algorithm

intervals

Results

2.1s	7997×	body	80	valid
1.0ms	1×	body	10240	exit
1.0ms	1×	body	160	valid
1.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid