Details

sample68.0ms

Algorithm

intervals

Results

29.0ms

256×

body

valid

simplify12.8s

Counts

1 → 1

Iterations

Useful iterations: 4 (180.0ms)

Iter	Nodes	Cost
0	27	31
1	49	30
2	120	30
3	279	30
4	509	29
5	883	29
6	1498	29
7	2272	29
8	3126	29
9	3718	29
10	3966	29
11	3974	29
done	3974	29

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

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

rewrite3.2s

Algorithm

rewrite-expression-head

Rules

227×	`*-un-lft-identity`
105×	`times-frac`
83×	`add-sqr-sqrt`
67×	`add-cube-cbrt`
56×	`distribute-lft-out`
48×	`distribute-lft-out--`
40×	`distribute-rgt-neg-in`
33×	`associate-/l*`
28×	`distribute-lft-neg-in`
14×	`associate-/r*`
12×	`add-exp-log` `add-cbrt-cube`
8×	`difference-of-squares`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `neg-mul-1` `frac-2neg` `div-sub` `div-exp` `clear-num` `associate-/r/` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp`
3×	`flip3-+` `flip-+`
2×	`neg-sub0` `distribute-neg-frac`
1×	`associate-+r-` `flip3--` `distribute-frac-neg` `unsub-neg` `flip--`

Counts

4 → 221

Calls

4 calls:

374.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
867.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
1.4s	(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
519.0ms	(/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))

series492.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
64.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
168.0ms	(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
181.0ms	(/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))

simplify1.4s

Counts

233 → 233

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	346	4304
1	781	4050
2	2193	3837
done	5000	3829

prune1.3s

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

rewrite5.8s

Algorithm

rewrite-expression-head

Rules

214×	`*-un-lft-identity`
174×	`times-frac`
118×	`add-sqr-sqrt`
102×	`add-cube-cbrt`
48×	`distribute-lft-out--`
28×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `associate-/l*`
26×	`associate-/r*`
21×	`add-exp-log`
20×	`distribute-lft-out`
15×	`add-cbrt-cube`
10×	`div-exp`
8×	`div-inv` `difference-of-squares`
6×	`cbrt-undiv`
5×	`pow1`
4×	`expm1-log1p-u` `neg-mul-1` `frac-2neg` `clear-num` `log1p-expm1-u` `associate-/l/` `add-log-exp`
3×	`associate-/r/`
2×	`rec-exp` `flip3-+` `1-exp` `flip-+` `distribute-neg-frac`
1×	`neg-sub0` `flip3--` `pow-flip` `div-sub` `distribute-frac-neg` `flip--` `inv-pow`

Counts

4 → 253

Calls

4 calls:

751.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
1.2s	(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
2.5s	(/ (+ (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)) 1.0) NaChar)
1.3s	(/ 1 (/ (+ (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)) 1.0) NaChar))

series874.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
219.0ms	(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
210.0ms	(/ (+ (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)) 1.0) NaChar)
374.0ms	(/ 1 (/ (+ (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)) 1.0) NaChar))

simplify1.4s

Counts

265 → 265

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	394	5828
1	874	5446
2	2004	5065
done	5001	5011

prune1.5s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

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

rewrite5.1s

Algorithm

rewrite-expression-head

Rules

137×	`*-un-lft-identity`
80×	`times-frac`
77×	`add-sqr-sqrt`
54×	`add-cube-cbrt`
52×	`add-exp-log`
48×	`distribute-lft-out--`
28×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
24×	`associate-/l*`
22×	`add-cbrt-cube`
20×	`div-exp`
16×	`prod-exp`
13×	`associate-r`
9×	`pow1` `rec-exp` `1-exp`
8×	`associate-/r*` `associate-/r/` `difference-of-squares`
7×	`cbrt-undiv`
5×	`flip3-+` `flip-+` `distribute-lft-out`
4×	`expm1-log1p-u` `frac-times` `neg-mul-1` `associate-l` `associate-*l/` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`frac-2neg` `clear-num` `unswap-sqr`
2×	`pow-flip` `associate-*r/` `pow-prod-down` `un-div-inv` `associate-/l/` `distribute-neg-frac`
1×	`neg-sub0` `flip3--` `div-sub` `distribute-frac-neg` `*-commutative` `flip--` `inv-pow`

Counts

4 → 217

Calls

4 calls:

508.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
892.0ms	(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
2.3s	(* (+ (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)) 1.0) (/ 1 NaChar))
1.4s	(/ 1 (* (+ (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)) 1.0) (/ 1 NaChar)))

series643.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
166.0ms	(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
165.0ms	(* (+ (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)) 1.0) (/ 1 NaChar))
242.0ms	(/ 1 (* (+ (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)) 1.0) (/ 1 NaChar)))

simplify1.1s

Counts

229 → 229

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	369	4571
1	854	4211
2	2226	3785
done	5000	3757

prune984.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite6.3s

Algorithm

rewrite-expression-head

Rules

2316×	`times-frac`
1508×	`*-un-lft-identity`
1004×	`add-sqr-sqrt` `add-cube-cbrt`
992×	`sqrt-prod`
252×	`distribute-lft-out`
232×	`associate-/r*`
82×	`associate-/r/`
76×	`sqrt-div`
44×	`div-inv`
39×	`flip3-+` `flip-+`
34×	`add-exp-log`
22×	`add-cbrt-cube`
20×	`div-exp`
16×	`associate-/l*`
11×	`cbrt-undiv`
5×	`pow1`
4×	`expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `1-exp`
2×	`associate-/l/`
1×	`pow-flip` `inv-pow`

Counts

4 → 1130

Calls

4 calls:

988.0ms	(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
1.8s	(/ 1 (/ (sqrt (+ (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)) 1.0)) (/ NaChar (sqrt (+ (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)) 1.0)))))
915.0ms	(/ NaChar (sqrt (+ (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)) 1.0)))
2.4s	(/ (sqrt (+ (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)) 1.0)) (/ NaChar (sqrt (+ (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)) 1.0))))

series836.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
278.0ms	(/ 1 (/ (sqrt (+ (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)) 1.0)) (/ NaChar (sqrt (+ (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)) 1.0)))))
204.0ms	(/ NaChar (sqrt (+ (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)) 1.0)))
185.0ms	(/ (sqrt (+ (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)) 1.0)) (/ NaChar (sqrt (+ (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)) 1.0))))

simplify2.6s

Counts

1142 → 1142

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	996	62581
1	2281	54277
2	4970	47454
done	5000	47448

prune2.4s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes299.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	34
1	39	34
done	39	34

end0.0ms

sample1.6s

Algorithm

intervals

Results

982.0ms	7998×	body	80	valid
1.0ms	2×	body	320	valid