Details

sample116.0ms

Algorithm

intervals

Results

50.0ms

256×

body

valid

simplify10.2s

Counts

1 → 1

Iterations

Useful iterations: 4 (177.0ms)

Iter	Nodes	Cost
0	27	31
1	49	30
2	120	30
3	279	30
4	509	29
5	880	29
6	1493	29
7	2244	29
8	3059	29
9	3642	29
10	3881	29
done	3881	29

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize72.0ms

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))

rewrite2.4s

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` `neg-mul-1` `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 → 222

Calls

4 calls:

436.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
759.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
668.0ms	(/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))
496.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))

series468.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
74.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
198.0ms	(/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))
96.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))

simplify1.2s

Counts

234 → 234

Iterations

Useful iterations: 2 (397.0ms)

Iter	Nodes	Cost
0	294	3803
1	637	3512
2	1799	3369
done	5002	3369

prune1.3s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

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

rewrite3.5s

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×	`neg-mul-1` `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 → 246

Calls

4 calls:

928.0ms	(/ (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))) NaChar)
889.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
510.0ms	(exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))
1.2s	(/ 1 (/ (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))) NaChar))

series723.0ms

Counts

4 → 12

Calls

4 calls:

255.0ms	(/ (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))) NaChar)
107.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
78.0ms	(exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))
283.0ms	(/ 1 (/ (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))) NaChar))

simplify2.8s

Counts

258 → 258

Iterations

Useful iterations: 3 (1.7s)

Iter	Nodes	Cost
0	363	5258
1	762	4877
2	1693	4559
3	4485	4521
done	5001	4521

prune1.3s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize87.0ms

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))))

rewrite29.2s

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`
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` `diff-log` `unpow3` `div-exp` `pow-prod-down` `pow-exp` `*-commutative` `flip--` `rem-exp-log` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 225

Calls

4 calls:

328.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
378.0ms	(pow (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)) 3)
25.1s	(* (/ 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))))))
3.4s	(- (* (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)) (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))) (* 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))

series974.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
109.0ms	(pow (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)) 3)
619.0ms	(* (/ 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))))))
178.0ms	(- (* (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)) (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))) (* 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))

simplify1.4s

Counts

237 → 237

Iterations

Useful iterations: 2 (495.0ms)

Iter	Nodes	Cost
0	345	9511
1	964	7385
2	3296	6414
done	5000	6414

prune1.0s

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×	`neg-mul-1` `rem-sqrt-square` `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 → 247

Calls

4 calls:

491.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
425.0ms	(pow (exp (sqrt (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))) (sqrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))
145.0ms	(sqrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
146.0ms	(sqrt (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))

series2.8s

Counts

4 → 12

Calls

4 calls:

65.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
2.5s	(pow (exp (sqrt (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))) (sqrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))
151.0ms	(sqrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
158.0ms	(sqrt (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))

simplify1.6s

Counts

259 → 259

Iterations

Useful iterations: 3 (819.0ms)

Iter	Nodes	Cost
0	310	4909
1	600	4431
2	1328	4287
3	3556	4277
done	5000	4277

prune1.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes366.0ms

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

sample1.8s

Algorithm

intervals

Results

1.3s	7999×	body	80	valid
0.0ms	1×	body	640	valid