Details

sample37.0ms

Algorithm

intervals

Results

17.0ms

256×

body

valid

simplify6.2s

Counts

1 → 1

Iterations

Useful iterations: 4 (68.0ms)

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	4709	29
11	4710	29
done	4710	29

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite651.0ms

Algorithm

rewrite-expression-head

Rules

72×	`*-un-lft-identity`
30×	`times-frac`
24×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`distribute-lft-out`
12×	`distribute-lft-out--`
9×	`associate-/l*`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
7×	`associate-/r*`
4×	`pow1` `flip3-+` `flip-+`
2×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `clear-num` `sum-log` `associate-/r/` `div-inv` `associate-/l/`
1×	`associate-+r-` `div-sub`

Counts

4 → 99

Calls

4 calls:

235.0ms	(+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)
226.0ms	(/ NaChar (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))))
116.0ms	(+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)))
70.0ms	(/ (+ mu (- EDonor (- Ec Vef))) KbT)

series318.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)
131.0ms	(/ NaChar (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))))
69.0ms	(+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)))
54.0ms	(/ (+ mu (- EDonor (- Ec Vef))) KbT)

simplify1.1s

Counts

111 → 111

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	192	2021
1	443	1960
2	1105	1784
3	3301	1776
done	5000	1775

prune468.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)
0.0b	(+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)))
0.0b	(/ (+ mu (- EDonor (- Ec Vef))) KbT)
0.0b	(pow (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0) 3)

rewrite796.0ms

Algorithm

rewrite-expression-head

Rules

62×	`*-un-lft-identity`
18×	`add-sqr-sqrt` `add-cube-cbrt` `times-frac`
16×	`distribute-lft-out`
12×	`distribute-lft-out--`
8×	`add-log-exp`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*`
5×	`pow1`
4×	`unpow-prod-down` `flip3-+` `cube-prod` `flip-+`
3×	`pow-unpow` `associate-/r*`
2×	`+-commutative` `cube-div` `sum-log` `associate-/l/`
1×	`cbrt-undiv` `cube-mult` `pow-to-exp` `associate-+r-` `pow-pow` `frac-2neg` `unpow3` `div-sub` `div-exp` `pow-exp` `clear-num` `div-inv` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 93

Calls

4 calls:

234.0ms	(+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)
117.0ms	(+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)))
69.0ms	(/ (+ mu (- EDonor (- Ec Vef))) KbT)
373.0ms	(pow (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0) 3)

series318.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)
64.0ms	(+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)))
57.0ms	(/ (+ mu (- EDonor (- Ec Vef))) KbT)
129.0ms	(pow (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0) 3)

simplify446.0ms

Counts

105 → 105

Iterations

Useful iterations: done (443.0ms)

Iter	Nodes	Cost
0	168	1882
1	435	1757
2	1306	1585
done	5000	1581

prune700.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)
0.0b	(+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)))
0.0b	(/ (+ mu (- EDonor (- Ec Vef))) KbT)
0.1b	(/ 1 (/ (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))) NaChar))

rewrite662.0ms

Algorithm

rewrite-expression-head

Rules

128×	`*-un-lft-identity`
114×	`times-frac`
64×	`add-sqr-sqrt` `add-cube-cbrt`
26×	`distribute-lft-out`
19×	`associate-/r*`
17×	`add-exp-log`
12×	`distribute-lft-out--`
11×	`add-cbrt-cube`
9×	`associate-/l*`
8×	`div-exp` `add-log-exp`
6×	`div-inv`
5×	`pow1`
4×	`cbrt-undiv`
3×	`flip3-+` `flip-+`
2×	`+-commutative` `rec-exp` `frac-2neg` `1-exp` `clear-num` `sum-log` `associate-/l/`
1×	`associate-+r-` `pow-flip` `div-sub` `associate-/r/` `inv-pow`

Counts

4 → 154

Calls

4 calls:

236.0ms	(+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)
118.0ms	(+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)))
71.0ms	(/ (+ mu (- EDonor (- Ec Vef))) KbT)
230.0ms	(/ 1 (/ (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))) NaChar))

series383.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)
71.0ms	(+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)))
53.0ms	(/ (+ mu (- EDonor (- Ec Vef))) KbT)
189.0ms	(/ 1 (/ (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))) NaChar))

simplify1.4s

Counts

166 → 166

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	278	3706
1	658	3389
2	1486	3076
3	4138	3044
done	5000	3043

prune528.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))) NaChar)) (cbrt (/ (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))) NaChar)))
0.3b	(cbrt (/ (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))) NaChar))
0.3b	(cbrt (/ (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))) NaChar))
0.3b	(cbrt (/ (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))) NaChar))

rewrite1.3s

Algorithm

rewrite-expression-head

Rules

136×	`cbrt-prod`
128×	`*-un-lft-identity`
102×	`times-frac`
92×	`add-sqr-sqrt`
68×	`add-cube-cbrt`
27×	`distribute-lft-out`
25×	`swap-sqr`
19×	`associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 168

Calls

4 calls:

908.0ms	(* (cbrt (/ (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))) NaChar)) (cbrt (/ (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))) NaChar)))
114.0ms	(cbrt (/ (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))) NaChar))
114.0ms	(cbrt (/ (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))) NaChar))
114.0ms	(cbrt (/ (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))) NaChar))

series1.1s

Counts

4 → 12

Calls

4 calls:

344.0ms	(* (cbrt (/ (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))) NaChar)) (cbrt (/ (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))) NaChar)))
257.0ms	(cbrt (/ (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))) NaChar))
247.0ms	(cbrt (/ (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))) NaChar))
246.0ms	(cbrt (/ (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))) NaChar))

simplify1.5s

Counts

180 → 180

Iterations

Useful iterations: 3 (768.0ms)

Iter	Nodes	Cost
0	246	6571
1	529	6281
2	1445	6056
3	4508	5520
done	5000	5520

prune970.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes361.0ms

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	28	32
1	34	32
done	34	32

end0.0ms

sample946.0ms

Algorithm

intervals

Results

561.0ms	7997×	body	80	valid
1.0ms	2×	body	640	valid
0.0ms	1×	body	160	valid