Details

sample87.0ms

Algorithm

intervals

Results

48.0ms

256×

body

valid

simplify11.6s

Counts

1 → 1

Iterations

Useful iterations: 4 (204.0ms)

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize63.0ms

Local error

Found 4 expressions with local error:

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

rewrite2.3s

Algorithm

rewrite-expression-head

Rules

277×	`*-un-lft-identity`
120×	`times-frac`
88×	`distribute-lft-out`
87×	`add-sqr-sqrt`
71×	`add-cube-cbrt`
49×	`distribute-rgt-neg-in`
48×	`distribute-lft-out--`
31×	`exp-prod`
30×	`associate-/l*`
28×	`distribute-lft-neg-in`
10×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
8×	`difference-of-squares`
7×	`div-sub`
5×	`add-log-exp`
4×	`pow1` `expm1-log1p-u` `neg-mul-1` `log1p-expm1-u` `div-inv` `associate-/l/`
3×	`cbrt-undiv` `neg-sub0` `frac-2neg` `exp-diff` `div-exp` `clear-num`
2×	`associate-+r-` `flip3-+` `unsub-neg` `associate-/r/` `flip-+` `distribute-neg-frac`
1×	`flip3--` `distribute-frac-neg` `flip--` `rem-exp-log`

Counts

4 → 230

Calls

4 calls:

441.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
804.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
656.0ms	(/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))
421.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))

series584.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
104.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
271.0ms	(/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))
93.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))

simplify1.7s

Counts

242 → 242

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	302	3903
1	653	3600
2	1862	3458
done	5000	3454

prune1.3s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite5.2s

Algorithm

rewrite-expression-head

Rules

235×	`*-un-lft-identity`
183×	`times-frac`
126×	`add-sqr-sqrt`
104×	`add-cube-cbrt`
57×	`distribute-lft-out--`
28×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
25×	`exp-prod` `distribute-lft-out` `associate-/l*`
22×	`associate-/r*`
19×	`add-exp-log`
13×	`add-cbrt-cube`
11×	`difference-of-squares`
9×	`div-exp`
8×	`div-inv`
5×	`pow1` `cbrt-undiv` `add-log-exp`
4×	`expm1-log1p-u` `neg-mul-1` `log1p-expm1-u` `associate-/l/`
3×	`frac-2neg` `clear-num`
2×	`rec-exp` `1-exp` `div-sub` `distribute-neg-frac`
1×	`neg-sub0` `flip3--` `pow-flip` `flip3-+` `exp-diff` `distribute-frac-neg` `associate-/r/` `flip--` `flip-+` `rem-exp-log` `inv-pow`

Counts

4 → 254

Calls

4 calls:

2.5s	(/ (+ (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)) 1.0) NaChar)
860.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
425.0ms	(exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))
1.3s	(/ 1 (/ (+ (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)) 1.0) NaChar))

series692.0ms

Counts

4 → 12

Calls

4 calls:

221.0ms	(/ (+ (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)) 1.0) NaChar)
91.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
103.0ms	(exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))
276.0ms	(/ 1 (/ (+ (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)) 1.0) NaChar))

simplify2.9s

Counts

266 → 266

Iterations

Useful iterations: 3 (1.7s)

Iter	Nodes	Cost
0	371	5366
1	777	4988
2	1732	4659
3	4630	4619
done	5000	4619

prune1.5s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize100.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
0.0b	(pow (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)) 3)
0.4b	(* (/ NaChar (+ (pow (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)) 3) (pow 1.0 3))) (+ (* 1.0 1.0) (- (* (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)) (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))) (* 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))))
3.7b	(- (* (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)) (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))) (* 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))

rewrite33.3s

Algorithm

rewrite-expression-head

Rules

157×	`exp-diff` `div-sub`
156×	`*-un-lft-identity`
83×	`associate-*r/`
76×	`times-frac`
60×	`distribute-lft-out`
56×	`add-sqr-sqrt` `exp-prod`
52×	`neg-sub0` `associate-+r-` `unsub-neg`
45×	`add-cube-cbrt` `frac-sub`
33×	`associate-l`
29×	`frac-times`
26×	`pow-pow`
19×	`associate-*l/`
18×	`sub-div`
15×	`unpow-prod-down` `cube-prod`
10×	`add-cbrt-cube`
9×	`add-exp-log` `distribute-rgt-neg-in` `distribute-lft-out--`
7×	`pow1` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`pow-unpow` `flip3-+` `associate-r` `sum-cubes` `flip-+` `div-inv` `difference-of-squares`
2×	`prod-exp` `associate-/r/` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `cube-div` `distribute-rgt-in` `cube-mult` `pow-to-exp` `sub-neg` `flip3--` `distribute-rgt-out--` `distribute-lft-in` `fma-neg` `diff-log` `unpow3` `div-exp` `prod-diff` `pow-prod-down` `pow-exp` `*-commutative` `flip--` `rem-exp-log` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 235

Calls

4 calls:

309.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
360.0ms	(pow (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)) 3)
29.4s	(* (/ NaChar (+ (pow (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)) 3) (pow 1.0 3))) (+ (* 1.0 1.0) (- (* (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)) (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))) (* 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))))
3.3s	(- (* (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)) (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))) (* 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))

series1.0s

Counts

4 → 12

Calls

4 calls:

74.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
116.0ms	(pow (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)) 3)
668.0ms	(* (/ NaChar (+ (pow (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)) 3) (pow 1.0 3))) (+ (* 1.0 1.0) (- (* (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)) (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))) (* 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))))
188.0ms	(- (* (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)) (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))) (* 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))

simplify1.4s

Counts

247 → 247

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	358	9837
1	1026	7562
2	3552	6597
done	5000	6588

prune1.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
0.0b	(pow (exp (sqrt (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))) (sqrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))
8.6b	(sqrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
8.6b	(sqrt (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

320×	`*-un-lft-identity`
152×	`times-frac`
120×	`add-sqr-sqrt`
112×	`sqrt-prod`
90×	`distribute-lft-out`
86×	`add-cube-cbrt`
66×	`distribute-lft-out--`
46×	`distribute-rgt-neg-in`
34×	`pow-unpow`
29×	`pow-pow`
28×	`distribute-lft-neg-in` `exp-prod`
18×	`associate-/l*`
14×	`difference-of-squares`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube`
5×	`div-inv`
4×	`expm1-log1p-u` `neg-mul-1` `rem-sqrt-square` `log1p-expm1-u` `add-log-exp`
3×	`unpow-prod-down` `associate-/r*`
2×	`sqrt-pow1` `pow1/2` `sqrt-div` `associate-/l/` `distribute-neg-frac`
1×	`cbrt-undiv` `neg-sub0` `pow-to-exp` `flip3--` `frac-2neg` `div-sub` `distribute-frac-neg` `div-exp` `pow-exp` `clear-num` `flip--` `sqr-pow`

Counts

4 → 255

Calls

4 calls:

491.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
390.0ms	(pow (exp (sqrt (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))) (sqrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))
135.0ms	(sqrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
134.0ms	(sqrt (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))

series3.0s

Counts

4 → 12

Calls

4 calls:

65.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
2.6s	(pow (exp (sqrt (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))) (sqrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))
158.0ms	(sqrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
165.0ms	(sqrt (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))

simplify1.6s

Counts

267 → 267

Iterations

Useful iterations: 3 (866.0ms)

Iter	Nodes	Cost
0	318	5025
1	612	4542
2	1356	4398
3	3651	4388
done	5001	4388

prune1.5s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes347.0ms

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	28	32
1	37	32
done	37	32

end0.0ms

sample1.6s

Algorithm

intervals

Results

991.0ms	7999×	body	80	valid
0.0ms	1×	body	640	valid