Details

sample38.0ms

Algorithm

intervals

Results

18.0ms

256×

body

valid

simplify2.4s

Counts

1 → 1

Iterations

Useful iterations: 4 (65.0ms)

Iter	Nodes	Cost
0	27	31
1	49	30
2	117	30
3	284	30
4	571	29
5	1103	29
6	2090	29
7	4026	29
done	5000	29

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite818.0ms

Algorithm

rewrite-expression-head

Rules

128×	`*-un-lft-identity`
66×	`times-frac`
60×	`add-sqr-sqrt`
48×	`distribute-lft-out--`
44×	`add-cube-cbrt`
28×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
21×	`associate-/l*`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp` `difference-of-squares`
7×	`associate-/r*`
6×	`distribute-lft-out`
4×	`pow1` `neg-mul-1`
3×	`flip3-+` `flip-+`
2×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `clear-num` `sum-log` `associate-/r/` `div-inv` `associate-/l/` `distribute-neg-frac`
1×	`neg-sub0` `flip3--` `div-sub` `distribute-frac-neg` `flip--`

Counts

4 → 148

Calls

4 calls:

225.0ms	(/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))
231.0ms	(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
236.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
118.0ms	(+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))

series308.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))
64.0ms	(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
57.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
63.0ms	(+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))

simplify1.4s

Counts

160 → 160

Iterations

Useful iterations: 3 (487.0ms)

Iter	Nodes	Cost
0	257	3048
1	582	2874
2	1584	2701
3	4811	2683
done	5000	2683

prune667.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.0s

Algorithm

rewrite-expression-head

Rules

118×	`*-un-lft-identity`
54×	`add-sqr-sqrt` `times-frac`
48×	`distribute-lft-out--`
38×	`add-cube-cbrt`
28×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
18×	`associate-/l*`
8×	`add-log-exp` `difference-of-squares`
7×	`add-exp-log` `add-cbrt-cube`
5×	`pow1`
4×	`neg-mul-1` `unpow-prod-down` `cube-prod` `distribute-lft-out`
3×	`pow-unpow` `flip3-+` `associate-/r*` `flip-+`
2×	`+-commutative` `cube-div` `sum-log` `associate-/l/` `distribute-neg-frac`
1×	`cbrt-undiv` `neg-sub0` `cube-mult` `pow-to-exp` `flip3--` `pow-pow` `frac-2neg` `unpow3` `div-sub` `distribute-frac-neg` `div-exp` `pow-exp` `clear-num` `flip--` `div-inv` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 142

Calls

4 calls:

230.0ms	(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
236.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
116.0ms	(+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))
460.0ms	(pow (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))) 3)

series310.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
53.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
63.0ms	(+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))
129.0ms	(pow (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))) 3)

simplify651.0ms

Counts

154 → 154

Iterations

Useful iterations: 2 (163.0ms)

Iter	Nodes	Cost
0	233	2904
1	579	2701
2	1887	2535
done	5001	2535

prune706.0ms

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

rewrite795.0ms

Algorithm

rewrite-expression-head

Rules

184×	`*-un-lft-identity`
150×	`times-frac`
100×	`add-sqr-sqrt`
84×	`add-cube-cbrt`
48×	`distribute-lft-out--`
28×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
21×	`associate-/l*`
19×	`associate-/r*`
17×	`add-exp-log`
14×	`distribute-lft-out`
11×	`add-cbrt-cube`
8×	`div-exp` `add-log-exp` `difference-of-squares`
6×	`div-inv`
5×	`pow1`
4×	`cbrt-undiv` `neg-mul-1`
2×	`+-commutative` `rec-exp` `frac-2neg` `flip3-+` `1-exp` `clear-num` `sum-log` `flip-+` `associate-/l/` `distribute-neg-frac`
1×	`neg-sub0` `flip3--` `pow-flip` `div-sub` `distribute-frac-neg` `associate-/r/` `flip--` `inv-pow`

Counts

4 → 203

Calls

4 calls:

231.0ms	(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
107.0ms	(+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)))
238.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
210.0ms	(/ 1 (/ (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))) NaChar))

series367.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
64.0ms	(+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)))
54.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
185.0ms	(/ 1 (/ (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))) NaChar))

simplify1.1s

Counts

215 → 215

Iterations

Useful iterations: 2 (241.0ms)

Iter	Nodes	Cost
0	341	4667
1	800	4361
2	2378	3993
done	5001	3993

prune708.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

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))

rewrite1.2s

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:

833.0ms	(* (cbrt (/ (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))) NaChar)) (cbrt (/ (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))) NaChar)))
104.0ms	(cbrt (/ (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))) NaChar))
105.0ms	(cbrt (/ (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))) NaChar))
106.0ms	(cbrt (/ (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))) NaChar))

series1.0s

Counts

4 → 12

Calls

4 calls:

331.0ms	(* (cbrt (/ (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))) NaChar)) (cbrt (/ (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))) NaChar)))
241.0ms	(cbrt (/ (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))) NaChar))
234.0ms	(cbrt (/ (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))) NaChar))
242.0ms	(cbrt (/ (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))) NaChar))

simplify585.0ms

Counts

180 → 180

Iterations

Useful iterations: 2 (164.0ms)

Iter	Nodes	Cost
0	246	6571
1	532	6287
2	1721	6056
done	5000	6056

prune957.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes354.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	34
1	38	34
done	38	34

end0.0ms

sample927.0ms

Algorithm

intervals

Results

554.0ms	7997×	body	80	valid
1.0ms	2×	body	640	valid
0.0ms	1×	body	160	valid