Details

sample92.0ms

Algorithm

intervals

Results

44.0ms

256×

body

valid

simplify917.0ms

Counts

1 → 1

Iterations

Useful iterations: 4 (202.0ms)

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

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.4s

Algorithm

rewrite-expression-head

Rules

174×	`*-un-lft-identity`
78×	`times-frac`
62×	`add-sqr-sqrt`
48×	`add-cube-cbrt`
47×	`exp-prod`
42×	`distribute-lft-out` `distribute-lft-out--`
13×	`associate-/l*`
8×	`add-exp-log` `add-cbrt-cube`
7×	`difference-of-squares`
6×	`associate-/r*` `add-log-exp`
4×	`pow1` `expm1-log1p-u` `div-sub` `log1p-expm1-u` `div-inv` `associate-/l/`
2×	`cbrt-undiv` `associate-+r-` `frac-2neg` `exp-diff` `div-exp` `clear-num` `rem-exp-log`
1×	`flip3--` `flip3-+` `flip--` `flip-+`

Counts

4 → 161

Calls

4 calls:

164.0ms	(/ (+ mu (- EDonor (- Ec Vef))) KbT)
257.0ms	(exp (/ (+ mu (- EDonor (- Ec Vef))) KbT))
520.0ms	(/ (- (+ (+ Ev Vef) EAccept) mu) KbT)
484.0ms	(exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))

series401.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(/ (+ mu (- EDonor (- Ec Vef))) KbT)
110.0ms	(exp (/ (+ mu (- EDonor (- Ec Vef))) KbT))
76.0ms	(/ (- (+ (+ Ev Vef) EAccept) mu) KbT)
128.0ms	(exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))

simplify1.2s

Counts

173 → 173

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	194	2231
1	421	2147
2	1640	2039
done	5002	2037

prune999.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- (+ (+ Ev Vef) EAccept) mu) KbT)
0.0b	(expm1 (log1p (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT))))
0.1b	(exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))
0.2b	(log1p (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)))

rewrite972.0ms

Algorithm

rewrite-expression-head

Rules

90×	`*-un-lft-identity`
42×	`times-frac`
41×	`add-sqr-sqrt`
27×	`add-cube-cbrt`
25×	`exp-prod`
21×	`distribute-lft-out` `distribute-lft-out--`
7×	`associate-/l*` `difference-of-squares`
6×	`add-exp-log` `add-cbrt-cube`
5×	`expm1-log1p-u` `add-log-exp`
4×	`pow1` `log1p-expm1-u`
3×	`associate-/r*`
2×	`div-sub` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `log1p-udef` `expm1-log1p` `flip3--` `frac-2neg` `exp-diff` `log1p-expm1` `div-exp` `clear-num` `flip--` `rem-exp-log` `expm1-udef`

Counts

4 → 106

Calls

4 calls:

465.0ms	(/ (- (+ (+ Ev Vef) EAccept) mu) KbT)
0.0ms	(expm1 (log1p (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT))))
502.0ms	(exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))
1.0ms	(log1p (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)))

series540.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(/ (- (+ (+ Ev Vef) EAccept) mu) KbT)
174.0ms	(expm1 (log1p (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT))))
91.0ms	(exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))
169.0ms	(log1p (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)))

simplify752.0ms

Counts

118 → 118

Iterations

Useful iterations: done (747.0ms)

Iter	Nodes	Cost
0	159	1591
1	337	1519
2	1121	1420
done	5001	1410

prune791.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b	(expm1 (log1p (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT))))
0.1b	(exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))
0.2b	(log1p (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)))
0.4b	(cbrt (pow (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)) 3))

rewrite637.0ms

Algorithm

rewrite-expression-head

Rules

45×	`*-un-lft-identity`
25×	`exp-prod`
24×	`add-sqr-sqrt`
21×	`times-frac`
18×	`add-cube-cbrt`
12×	`cbrt-prod`
9×	`distribute-lft-out` `distribute-lft-out--`
5×	`expm1-log1p-u` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `log1p-expm1-u`
3×	`unpow-prod-down` `cube-prod` `difference-of-squares`
2×	`exp-diff` `div-sub`
1×	`cube-div` `cube-mult` `cbrt-div` `log1p-udef` `expm1-log1p` `pow1/3` `unpow3` `log1p-expm1` `rem-cbrt-cube` `div-inv` `rem-exp-log` `expm1-udef` `sqr-pow`

Counts

4 → 82

Calls

4 calls:

0.0ms	(expm1 (log1p (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT))))
413.0ms	(exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))
1.0ms	(log1p (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)))
220.0ms	(cbrt (pow (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)) 3))

series501.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(expm1 (log1p (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT))))
95.0ms	(exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))
189.0ms	(log1p (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)))
97.0ms	(cbrt (pow (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)) 3))

simplify853.0ms

Counts

94 → 94

Iterations

Useful iterations: done (850.0ms)

Iter	Nodes	Cost
0	147	1419
1	301	1220
2	1118	1118
done	5001	1114

prune714.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.1b	(exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))
0.2b	(log1p (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)))
0.5b	(cbrt (pow (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)) 3/2))
0.5b	(cbrt (pow (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)) 3/2))

rewrite899.0ms

Algorithm

rewrite-expression-head

Rules

46×	`*-un-lft-identity`
25×	`add-sqr-sqrt` `exp-prod`
21×	`times-frac`
19×	`add-cube-cbrt`
14×	`cbrt-prod`
9×	`distribute-lft-out` `distribute-lft-out--`
6×	`unpow-prod-down`
5×	`expm1-log1p-u` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `log1p-expm1-u`
3×	`difference-of-squares`
2×	`pow1/3` `sqr-pow`
1×	`log1p-udef` `exp-diff` `div-sub` `log1p-expm1` `div-inv` `rem-exp-log`

Counts

4 → 81

Calls

4 calls:

480.0ms	(exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))
1.0ms	(log1p (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)))
216.0ms	(cbrt (pow (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)) 3/2))
196.0ms	(cbrt (pow (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)) 3/2))

series537.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))
172.0ms	(log1p (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)))
148.0ms	(cbrt (pow (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)) 3/2))
137.0ms	(cbrt (pow (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)) 3/2))

simplify1.1s

Counts

93 → 93

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	135	1482
1	255	1426
2	619	1331
3	1953	1313
done	5000	1295

prune790.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	48
1	37	48
done	37	48

end0.0ms

sample2.9s

Algorithm

intervals

Results

2.0s	8000×	body	80	valid
1.0ms	1×	body	10240	exit