Details

sample97.0ms

Algorithm

intervals

Results

44.0ms

256×

body

valid

simplify9.9s

Counts

1 → 1

Iterations

Useful iterations: 4 (171.0ms)

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

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

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

rewrite3.0s

Algorithm

rewrite-expression-head

Rules

227×	`*-un-lft-identity`
105×	`times-frac`
83×	`add-sqr-sqrt`
67×	`add-cube-cbrt`
56×	`distribute-lft-out`
48×	`distribute-lft-out--`
40×	`distribute-rgt-neg-in`
33×	`associate-/l*`
28×	`distribute-lft-neg-in`
14×	`associate-/r*`
12×	`add-exp-log` `add-cbrt-cube`
8×	`difference-of-squares`
4×	`pow1` `cbrt-undiv` `neg-mul-1` `frac-2neg` `div-sub` `div-exp` `clear-num` `associate-/r/` `div-inv` `associate-/l/` `add-log-exp`
3×	`flip3-+` `flip-+`
2×	`neg-sub0` `distribute-neg-frac`
1×	`associate-+r-` `flip3--` `distribute-frac-neg` `unsub-neg` `flip--`

Counts

4 → 213

Calls

4 calls:

387.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
685.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
1.3s	(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
612.0ms	(/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))

series581.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
88.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
186.0ms	(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
222.0ms	(/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))

simplify1.4s

Counts

225 → 225

Iterations

Useful iterations: 2 (489.0ms)

Iter	Nodes	Cost
0	338	4196
1	761	3956
2	2104	3740
done	5000	3740

prune1.3s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

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

rewrite3.7s

Algorithm

rewrite-expression-head

Rules

214×	`*-un-lft-identity`
174×	`times-frac`
118×	`add-sqr-sqrt`
102×	`add-cube-cbrt`
48×	`distribute-lft-out--`
28×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `associate-/l*`
26×	`associate-/r*`
21×	`add-exp-log`
20×	`distribute-lft-out`
15×	`add-cbrt-cube`
10×	`div-exp`
8×	`div-inv` `difference-of-squares`
6×	`cbrt-undiv`
5×	`pow1`
4×	`neg-mul-1` `frac-2neg` `clear-num` `associate-/l/` `add-log-exp`
3×	`associate-/r/`
2×	`rec-exp` `flip3-+` `1-exp` `flip-+` `distribute-neg-frac`
1×	`neg-sub0` `flip3--` `pow-flip` `div-sub` `distribute-frac-neg` `flip--` `inv-pow`

Counts

4 → 245

Calls

4 calls:

757.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
1.4s	(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
977.0ms	(/ (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))) NaChar)
598.0ms	(/ 1 (/ (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))) NaChar))

series927.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
247.0ms	(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
221.0ms	(/ (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))) NaChar)
359.0ms	(/ 1 (/ (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))) NaChar))

simplify1.6s

Counts

257 → 257

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	386	5710
1	855	5329
2	1922	4957
done	5000	4907

prune1.9s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize76.0ms

Local error

Found 4 expressions with local error:

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

rewrite3.9s

Algorithm

rewrite-expression-head

Rules

137×	`*-un-lft-identity`
80×	`times-frac`
77×	`add-sqr-sqrt`
54×	`add-cube-cbrt`
52×	`add-exp-log`
48×	`distribute-lft-out--`
28×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
24×	`associate-/l*`
22×	`add-cbrt-cube`
20×	`div-exp`
16×	`prod-exp`
13×	`associate-r`
9×	`pow1` `rec-exp` `1-exp`
8×	`associate-/r*` `associate-/r/` `difference-of-squares`
7×	`cbrt-undiv`
5×	`flip3-+` `flip-+` `distribute-lft-out`
4×	`frac-times` `neg-mul-1` `associate-l` `associate-*l/` `cbrt-unprod` `div-inv` `add-log-exp`
3×	`frac-2neg` `clear-num` `unswap-sqr`
2×	`pow-flip` `associate-*r/` `pow-prod-down` `un-div-inv` `associate-/l/` `distribute-neg-frac`
1×	`neg-sub0` `flip3--` `div-sub` `distribute-frac-neg` `*-commutative` `flip--` `inv-pow`

Counts

4 → 209

Calls

4 calls:

634.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
1.5s	(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
1.1s	(* (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))) (/ 1 NaChar))
716.0ms	(/ 1 (* (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))) (/ 1 NaChar)))

series982.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
230.0ms	(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
263.0ms	(* (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))) (/ 1 NaChar))
405.0ms	(/ 1 (* (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))) (/ 1 NaChar)))

simplify1.3s

Counts

221 → 221

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	361	4445
1	835	4094
2	2144	3677
done	5000	3651

prune1.1s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite4.2s

Algorithm

rewrite-expression-head

Rules

2316×	`times-frac`
1508×	`*-un-lft-identity`
1004×	`add-sqr-sqrt` `add-cube-cbrt`
992×	`sqrt-prod`
252×	`distribute-lft-out`
232×	`associate-/r*`
82×	`associate-/r/`
76×	`sqrt-div`
44×	`div-inv`
39×	`flip3-+` `flip-+`
34×	`add-exp-log`
22×	`add-cbrt-cube`
20×	`div-exp`
16×	`associate-/l*`
11×	`cbrt-undiv`
5×	`pow1`
4×	`frac-2neg` `clear-num` `add-log-exp`
3×	`rec-exp` `1-exp`
2×	`associate-/l/`
1×	`pow-flip` `inv-pow`

Counts

4 → 1122

Calls

4 calls:

1.1s	(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
1.1s	(/ 1 (/ (sqrt (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)))) (/ NaChar (sqrt (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)))))))
552.0ms	(/ NaChar (sqrt (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)))))
1.3s	(/ (sqrt (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)))) (/ NaChar (sqrt (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))))))

series888.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
279.0ms	(/ 1 (/ (sqrt (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)))) (/ NaChar (sqrt (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)))))))
224.0ms	(/ NaChar (sqrt (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)))))
190.0ms	(/ (sqrt (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)))) (/ NaChar (sqrt (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))))))

simplify2.8s

Counts

1134 → 1134

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	988	62393
1	2260	53869
2	4880	47402
done	5000	45054

prune2.7s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes391.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	34
1	39	34
done	39	34

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.4s	7998×	body	80	valid
1.0ms	2×	body	320	valid