Details

sample42.0ms

Algorithm

intervals

Results

17.0ms

256×

body

valid

simplify6.3s

Counts

1 → 1

Iterations

Useful iterations: 4 (134.0ms)

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

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

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

153×	`*-un-lft-identity`
69×	`times-frac`
54×	`add-sqr-sqrt`
46×	`add-cube-cbrt`
37×	`distribute-lft-out`
33×	`distribute-lft-out--`
22×	`exp-prod`
16×	`associate-/l*`
10×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
5×	`add-log-exp`
4×	`pow1` `div-inv` `associate-/l/` `difference-of-squares`
3×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num`
2×	`associate-+r-` `flip3-+` `associate-/r/` `flip-+`
1×	`flip3--` `exp-diff` `flip--` `rem-exp-log`

Counts

4 → 152

Calls

4 calls:

122.0ms	(/ (+ mu (- EDonor (- Ec Vef))) KbT)
271.0ms	(/ (- (+ (+ Ev Vef) EAccept) mu) KbT)
549.0ms	(/ NdChar (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0))
158.0ms	(exp (/ (+ mu (- EDonor (- Ec Vef))) KbT))

series328.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(/ (+ mu (- EDonor (- Ec Vef))) KbT)
59.0ms	(/ (- (+ (+ Ev Vef) EAccept) mu) KbT)
144.0ms	(/ NdChar (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0))
69.0ms	(exp (/ (+ mu (- EDonor (- Ec Vef))) KbT))

simplify658.0ms

Counts

164 → 164

Iterations

Useful iterations: done (652.0ms)

Iter	Nodes	Cost
0	236	2552
1	525	2451
2	1486	2311
done	5000	2295

prune632.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite758.0ms

Algorithm

rewrite-expression-head

Rules

138×	`*-un-lft-identity`
57×	`times-frac`
45×	`add-sqr-sqrt`
37×	`add-cube-cbrt`
34×	`distribute-lft-out`
33×	`distribute-lft-out--`
22×	`exp-prod`
13×	`associate-/l*`
8×	`add-exp-log` `add-cbrt-cube`
7×	`add-log-exp`
6×	`associate-/r*`
4×	`pow1` `associate-/l/` `difference-of-squares`
3×	`div-sub` `div-inv`
2×	`cbrt-undiv` `associate-+r-` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+`
1×	`+-commutative` `flip3--` `exp-diff` `sum-log` `flip--` `rem-exp-log`

Counts

4 → 131

Calls

4 calls:

195.0ms	(+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)))
123.0ms	(/ (+ mu (- EDonor (- Ec Vef))) KbT)
271.0ms	(/ (- (+ (+ Ev Vef) EAccept) mu) KbT)
162.0ms	(exp (/ (+ mu (- EDonor (- Ec Vef))) KbT))

series258.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)))
56.0ms	(/ (+ mu (- EDonor (- Ec Vef))) KbT)
59.0ms	(/ (- (+ (+ Ev Vef) EAccept) mu) KbT)
68.0ms	(exp (/ (+ mu (- EDonor (- Ec Vef))) KbT))

simplify597.0ms

Counts

143 → 143

Iterations

Useful iterations: done (593.0ms)

Iter	Nodes	Cost
0	189	2017
1	431	1944
2	1260	1821
done	5000	1817

prune557.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cbrt (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)))) (cbrt (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)))))
0.2b	(cbrt (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))))
0.2b	(cbrt (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))))
0.2b	(cbrt (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))))

rewrite2.1s

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

1.5s	(* (cbrt (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)))) (cbrt (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)))))
189.0ms	(cbrt (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))))
190.0ms	(cbrt (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))))
194.0ms	(cbrt (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))))

series1.0s

Counts

4 → 12

Calls

4 calls:

349.0ms	(* (cbrt (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)))) (cbrt (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)))))
230.0ms	(cbrt (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))))
233.0ms	(cbrt (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))))
237.0ms	(cbrt (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))))

simplify1.1s

Counts

107 → 107

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	120	3353
1	276	3064
2	801	2776
3	2329	2425
done	5000	2372

prune589.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ NdChar (* (cbrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)) (cbrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0))))
0.2b	(cbrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0))
0.2b	(cbrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0))
0.2b	(cbrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0))

rewrite1.4s

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
15×	`*-un-lft-identity`
12×	`cbrt-prod`
9×	`add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `flip-+`
8×	`associate-/r/`
7×	`add-cbrt-cube`
4×	`pow1` `frac-times` `add-log-exp`
3×	`times-frac` `pow1/3` `distribute-lft-out` `associate-/l*`
2×	`cbrt-undiv` `associate-r/` `div-exp` `associate-l/`
1×	`frac-2neg` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `div-inv`

Counts

4 → 71

Calls

4 calls:

577.0ms	(/ NdChar (* (cbrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)) (cbrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0))))
274.0ms	(cbrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0))
280.0ms	(cbrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0))
284.0ms	(cbrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0))

series986.0ms

Counts

4 → 12

Calls

4 calls:

264.0ms	(/ NdChar (* (cbrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)) (cbrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0))))
238.0ms	(cbrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0))
235.0ms	(cbrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0))
248.0ms	(cbrt (+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0))

simplify1.2s

Counts

83 → 83

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	141	2489
1	348	2369
2	924	2043
3	2792	1956
done	5000	1914

prune461.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

regimes269.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	60
1	37	60
done	37	60

end0.0ms

sample1.1s

Algorithm

intervals

Results

561.0ms

8000×

body

valid