Details

sample42.0ms

Algorithm

intervals

Results

16.0ms

256×

body

valid

simplify7.4s

Counts

1 → 1

Iterations

Useful iterations: 4 (114.0ms)

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

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
0.0b	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
0.0b	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
0.2b	(/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))

rewrite2.5s

Algorithm

rewrite-expression-head

Rules

223×	`*-un-lft-identity`
132×	`times-frac`
109×	`add-sqr-sqrt`
84×	`distribute-lft-out--`
81×	`add-cube-cbrt`
58×	`exp-prod`
49×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
24×	`associate-/l*`
14×	`difference-of-squares`
11×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube`
8×	`distribute-lft-out`
7×	`neg-mul-1`
5×	`add-log-exp`
4×	`pow1` `expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `div-inv`
3×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
2×	`neg-sub0` `flip3-+` `div-sub` `distribute-frac-neg` `flip-+` `associate-/l/` `distribute-neg-frac`
1×	`exp-neg` `flip3--` `exp-diff` `flip--` `rem-exp-log`

Counts

4 → 233

Calls

4 calls:

909.0ms	(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
526.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
611.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
430.0ms	(/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))

series426.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
63.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
63.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
151.0ms	(/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))

simplify1.7s

Counts

245 → 245

Iterations

Useful iterations: 3 (967.0ms)

Iter	Nodes	Cost
0	347	4237
1	715	3995
2	1741	3820
3	4715	3786
done	5000	3786

prune1.0s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
0.0b	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
0.0b	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
0.2b	(/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))

rewrite1.9s

Algorithm

rewrite-expression-head

Rules

292×	`*-un-lft-identity`
147×	`times-frac`
114×	`add-sqr-sqrt`
86×	`add-cube-cbrt`
84×	`distribute-lft-out--`
61×	`distribute-rgt-neg-in`
58×	`exp-prod`
52×	`distribute-lft-out`
49×	`distribute-lft-neg-in`
30×	`associate-/l*`
14×	`difference-of-squares`
10×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
7×	`neg-mul-1`
5×	`div-sub` `add-log-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `div-inv` `associate-/l/`
3×	`cbrt-undiv` `neg-sub0` `frac-2neg` `div-exp` `clear-num`
2×	`flip3-+` `distribute-frac-neg` `associate-/r/` `flip-+` `distribute-neg-frac`
1×	`exp-neg` `associate-+r-` `flip3--` `exp-diff` `unsub-neg` `flip--` `rem-exp-log`

Counts

4 → 256

Calls

4 calls:

285.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
519.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
610.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
421.0ms	(/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))

series335.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
63.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
63.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
152.0ms	(/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))

simplify917.0ms

Counts

268 → 268

Iterations

Useful iterations: done (902.0ms)

Iter	Nodes	Cost
0	326	4249
1	681	3961
2	1917	3798
done	5000	3794

prune1.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
0.0b	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
0.2b	(/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))
25.1b	(cbrt (pow (/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))) 3))

rewrite2.5s

Algorithm

rewrite-expression-head

Rules

235×	`*-un-lft-identity`
144×	`times-frac`
117×	`add-sqr-sqrt`
89×	`add-cube-cbrt`
84×	`distribute-lft-out--`
58×	`exp-prod`
49×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
42×	`cbrt-prod`
21×	`associate-/l*`
18×	`unpow-prod-down` `cube-prod`
14×	`difference-of-squares`
10×	`distribute-lft-out`
8×	`add-exp-log` `add-cbrt-cube`
7×	`neg-mul-1` `associate-/r*`
6×	`associate-/r/`
5×	`div-inv` `add-log-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`flip3-+` `flip-+`
2×	`cbrt-undiv` `neg-sub0` `frac-2neg` `div-sub` `distribute-frac-neg` `div-exp` `clear-num` `associate-/l/` `distribute-neg-frac`
1×	`cube-div` `exp-neg` `cube-mult` `cbrt-div` `flip3--` `exp-diff` `pow1/3` `unpow3` `flip--` `rem-cbrt-cube` `rem-exp-log` `sqr-pow`

Counts

4 → 252

Calls

4 calls:

516.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
612.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
420.0ms	(/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))
908.0ms	(cbrt (pow (/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))) 3))

series454.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
65.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
152.0ms	(/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))
175.0ms	(cbrt (pow (/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))) 3))

simplify1.1s

Counts

264 → 264

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	424	5320
1	987	4736
2	2642	4492
done	5000	4442

prune1.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.2b

regimes245.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	33
1	40	33
done	40	33

end0.0ms

sample1.1s

Algorithm

intervals

Results

530.0ms

8000×

body

valid