Details

sample39.0ms

Algorithm

intervals

Results

18.0ms

256×

body

valid

simplify5.0s

Counts

1 → 1

Iterations

Useful iterations: 4 (77.0ms)

Iter	Nodes	Cost
0	27	31
1	49	30
2	117	30
3	275	30
4	493	29
5	907	29
6	1532	29
7	2567	29
8	3455	29
9	4368	29
10	4716	29
done	4716	29

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite626.0ms

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity`
30×	`times-frac`
26×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`distribute-lft-out`
12×	`distribute-lft-out--`
9×	`associate-/l*`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
7×	`associate-/r*`
6×	`fma-def`
4×	`pow1` `expm1-log1p-u` `flip3-+` `flip-+` `log1p-expm1-u`
2×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `clear-num` `sum-log` `associate-/r/` `div-inv` `associate-/l/`
1×	`associate-+r-` `div-sub`

Counts

4 → 113

Calls

4 calls:

238.0ms	(+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)
208.0ms	(/ NaChar (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))))
108.0ms	(+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)))
67.0ms	(/ (+ mu (- EDonor (- Ec Vef))) KbT)

series324.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)
137.0ms	(/ NaChar (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))))
64.0ms	(+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)))
56.0ms	(/ (+ mu (- EDonor (- Ec Vef))) KbT)

simplify1.4s

Counts

125 → 125

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	200	2123
1	462	2056
2	1170	1881
3	3547	1871
done	5000	1870

prune540.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite760.0ms

Algorithm

rewrite-expression-head

Rules

64×	`*-un-lft-identity`
20×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`times-frac`
16×	`distribute-lft-out`
12×	`distribute-lft-out--`
8×	`add-log-exp`
7×	`add-exp-log` `add-cbrt-cube`
6×	`fma-def` `associate-/l*`
5×	`pow1`
4×	`expm1-log1p-u` `unpow-prod-down` `flip3-+` `cube-prod` `flip-+` `log1p-expm1-u`
3×	`pow-unpow` `associate-/r*`
2×	`+-commutative` `cube-div` `sum-log` `associate-/l/`
1×	`cbrt-undiv` `cube-mult` `pow-to-exp` `associate-+r-` `pow-pow` `frac-2neg` `unpow3` `div-sub` `div-exp` `pow-exp` `clear-num` `div-inv` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 107

Calls

4 calls:

238.0ms	(+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)
107.0ms	(+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)))
64.0ms	(/ (+ mu (- EDonor (- Ec Vef))) KbT)
348.0ms	(pow (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0) 3)

series305.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)
65.0ms	(+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)))
54.0ms	(/ (+ mu (- EDonor (- Ec Vef))) KbT)
124.0ms	(pow (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0) 3)

simplify457.0ms

Counts

119 → 119

Iterations

Useful iterations: done (453.0ms)

Iter	Nodes	Cost
0	176	1984
1	454	1855
2	1359	1683
done	5000	1679

prune581.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite632.0ms

Algorithm

rewrite-expression-head

Rules

130×	`*-un-lft-identity`
114×	`times-frac`
66×	`add-sqr-sqrt` `add-cube-cbrt`
26×	`distribute-lft-out`
19×	`associate-/r*`
17×	`add-exp-log`
12×	`distribute-lft-out--`
11×	`add-cbrt-cube`
9×	`associate-/l*`
8×	`div-exp` `add-log-exp`
6×	`fma-def` `div-inv`
5×	`pow1`
4×	`cbrt-undiv` `expm1-log1p-u` `log1p-expm1-u`
3×	`flip3-+` `flip-+`
2×	`+-commutative` `rec-exp` `frac-2neg` `1-exp` `clear-num` `sum-log` `associate-/l/`
1×	`associate-+r-` `pow-flip` `div-sub` `associate-/r/` `inv-pow`

Counts

4 → 168

Calls

4 calls:

239.0ms	(+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)
109.0ms	(+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)))
65.0ms	(/ (+ mu (- EDonor (- Ec Vef))) KbT)
212.0ms	(/ 1 (/ (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))) NaChar))

series375.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)
68.0ms	(+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)))
55.0ms	(/ (+ mu (- EDonor (- Ec Vef))) KbT)
189.0ms	(/ 1 (/ (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))) NaChar))

simplify1.5s

Counts

180 → 180

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	286	3812
1	677	3489
2	1551	3173
3	4392	3139
done	5001	3138

prune613.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize27.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 176

Calls

4 calls:

841.0ms	(* (cbrt (/ (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))) NaChar)) (cbrt (/ (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))) NaChar)))
106.0ms	(cbrt (/ (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))) NaChar))
105.0ms	(cbrt (/ (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))) NaChar))
107.0ms	(cbrt (/ (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))) NaChar))

series1.1s

Counts

4 → 12

Calls

4 calls:

343.0ms	(* (cbrt (/ (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))) NaChar)) (cbrt (/ (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))) NaChar)))
250.0ms	(cbrt (/ (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))) NaChar))
249.0ms	(cbrt (/ (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))) NaChar))
241.0ms	(cbrt (/ (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))) NaChar))

simplify1.6s

Counts

188 → 188

Iterations

Useful iterations: 3 (781.0ms)

Iter	Nodes	Cost
0	250	6731
1	544	6423
2	1512	6202
3	4817	5637
done	5000	5637

prune1.0s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes368.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	32
1	34	32
done	34	32

end0.0ms

sample1000.0ms

Algorithm

intervals

Results

579.0ms	7997×	body	80	valid
1.0ms	2×	body	640	valid
0.0ms	1×	body	160	valid