Details

sample87.0ms

Algorithm

intervals

Results

56.0ms

256×

body

valid

simplify13.3s

Counts

1 → 1

Iterations

Useful iterations: 4 (235.0ms)

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

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.6s

Algorithm

rewrite-expression-head

Rules

154×	`*-un-lft-identity`
72×	`times-frac`
61×	`add-sqr-sqrt`
47×	`add-cube-cbrt`
37×	`distribute-lft-out`
33×	`distribute-lft-out--`
25×	`exp-prod`
16×	`associate-/l*`
10×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
7×	`difference-of-squares`
5×	`add-log-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `div-inv` `associate-/l/`
3×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num`
2×	`flip3-+` `associate-/r/` `flip-+`
1×	`associate-+r-` `flip3--` `exp-diff` `flip--` `rem-exp-log`

Counts

4 → 163

Calls

4 calls:

436.0ms	(/ (- (+ (+ Ev Vef) EAccept) mu) KbT)
163.0ms	(/ (+ mu (- EDonor (- Ec Vef))) KbT)
593.0ms	(/ NaChar (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))))
419.0ms	(exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))

series448.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(/ (- (+ (+ Ev Vef) EAccept) mu) KbT)
93.0ms	(/ (+ mu (- EDonor (- Ec Vef))) KbT)
183.0ms	(/ NaChar (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))))
92.0ms	(exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))

simplify1.2s

Counts

175 → 175

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	248	2685
1	542	2576
2	1550	2438
done	5000	2424

prune1.2s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite2.4s

Algorithm

rewrite-expression-head

Rules

179×	`*-un-lft-identity`
147×	`times-frac`
90×	`add-sqr-sqrt`
84×	`add-cube-cbrt`
37×	`distribute-lft-out`
25×	`exp-prod`
22×	`associate-/r*`
21×	`distribute-lft-out--`
19×	`add-exp-log`
13×	`add-cbrt-cube` `associate-/l*`
9×	`div-exp`
8×	`div-inv`
5×	`pow1` `cbrt-undiv` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l/`
3×	`frac-2neg` `clear-num` `difference-of-squares`
2×	`rec-exp` `flip3-+` `1-exp` `div-sub` `flip-+`
1×	`associate-+r-` `pow-flip` `exp-diff` `associate-/r/` `rem-exp-log` `inv-pow`

Counts

4 → 205

Calls

4 calls:

1.0s	(/ (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))) NaChar)
240.0ms	(/ (+ mu (- EDonor (- Ec Vef))) KbT)
461.0ms	(exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))
673.0ms	(/ 1 (/ (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))) NaChar))

series765.0ms

Counts

4 → 12

Calls

4 calls:

210.0ms	(/ (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))) NaChar)
98.0ms	(/ (+ mu (- EDonor (- Ec Vef))) KbT)
108.0ms	(exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))
350.0ms	(/ 1 (/ (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))) NaChar))

simplify2.8s

Counts

217 → 217

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	310	4422
1	653	4073
2	1537	3755
3	4651	3721
done	5000	3721

prune1.1s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize61.0ms

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 1.0 3) (pow (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)) 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

127×	`*-un-lft-identity`
70×	`times-frac`
60×	`add-sqr-sqrt`
50×	`exp-prod`
43×	`add-cube-cbrt`
33×	`associate-l` `distribute-lft-out`
26×	`pow-pow`
18×	`distribute-lft-out--`
15×	`unpow-prod-down` `cube-prod`
13×	`exp-diff` `div-sub`
10×	`add-cbrt-cube`
9×	`add-exp-log` `associate-*r/`
7×	`pow1` `add-log-exp`
6×	`difference-of-squares`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`frac-times` `pow-unpow` `flip3-+` `associate-r` `associate-*l/` `sum-cubes` `frac-sub` `flip-+` `div-inv`
2×	`prod-exp` `associate-/r/` `cbrt-unprod` `sub-div` `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 → 169

Calls

4 calls:

365.0ms	(exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))
477.0ms	(pow (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)) 3)
29.6s	(* (/ NaChar (+ (pow 1.0 3) (pow (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)) 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))))))
2.9s	(- (* (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)) (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))) (* 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))))

series1.4s

Counts

4 → 12

Calls

4 calls:

96.0ms	(exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))
195.0ms	(pow (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)) 3)
887.0ms	(* (/ NaChar (+ (pow 1.0 3) (pow (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)) 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))))))
251.0ms	(- (* (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)) (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))) (* 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))))

simplify2.2s

Counts

181 → 181

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	316	6601
1	940	5225
2	3429	4777
done	5000	4768

prune1.6s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ mu (- EDonor (- Ec Vef))) 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))

rewrite1.3s

Algorithm

rewrite-expression-head

Rules

206×	`*-un-lft-identity`
104×	`times-frac`
100×	`sqrt-prod`
92×	`add-sqr-sqrt`
62×	`add-cube-cbrt`
48×	`distribute-lft-out` `distribute-lft-out--`
29×	`pow-pow`
28×	`pow-unpow` `exp-prod`
12×	`difference-of-squares`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
5×	`div-inv`
4×	`expm1-log1p-u` `rem-sqrt-square` `log1p-expm1-u` `add-log-exp`
3×	`unpow-prod-down` `associate-/r*`
2×	`sqrt-pow1` `pow1/2` `sqrt-div` `associate-/l/`
1×	`cbrt-undiv` `pow-to-exp` `associate-+r-` `frac-2neg` `flip3-+` `div-sub` `div-exp` `pow-exp` `clear-num` `flip-+` `sqr-pow`

Counts

4 → 194

Calls

4 calls:

203.0ms	(/ (+ mu (- EDonor (- Ec Vef))) KbT)
667.0ms	(pow (exp (sqrt (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))) (sqrt (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)))
180.0ms	(sqrt (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))
248.0ms	(sqrt (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))

series3.7s

Counts

4 → 12

Calls

4 calls:

68.0ms	(/ (+ mu (- EDonor (- Ec Vef))) KbT)
3.2s	(pow (exp (sqrt (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))) (sqrt (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)))
213.0ms	(sqrt (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))
246.0ms	(sqrt (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))

simplify2.0s

Counts

206 → 206

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	213	3808
1	444	3518
2	1132	3364
3	3676	3360
done	5000	3360

prune1.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes329.0ms

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	27	31
1	35	31
done	35	31

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.1s	7999×	body	80	valid
0.0ms	1×	body	640	valid