Details

sample43.0ms

Algorithm

intervals

Results

21.0ms

256×

body

valid

simplify60.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	49	17
1	120	17
2	311	17
3	677	17
4	1422	17
5	2726	17
6	5001	17

prune5.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

206×	`*-un-lft-identity`
105×	`times-frac`
76×	`add-sqr-sqrt`
64×	`add-cube-cbrt`
58×	`exp-prod`
56×	`distribute-lft-out`
36×	`distribute-lft-out--`
33×	`distribute-rgt-neg-in`
21×	`distribute-lft-neg-in`
15×	`associate-/l*`
11×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube`
6×	`difference-of-squares`
5×	`add-log-exp`
4×	`pow1` `div-sub` `associate-/r/` `div-inv`
3×	`cbrt-undiv` `neg-mul-1` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+`
2×	`neg-sub0` `associate-/l/`
1×	`exp-neg` `associate-+r-` `exp-diff` `distribute-frac-neg` `unsub-neg` `rem-exp-log`

Counts

4 → 190

Calls

4 calls:

17.0ms	(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
15.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
20.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
18.0ms	(/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))

series390.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
56.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
56.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
144.0ms	(/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))

simplify70.0ms

Algorithm

egg-herbie

Counts

202 → 202

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	694	1846
1	2336	1717
2	5001	1697

prune770.0ms

Filtered

202 candidates to 123 candidates (60.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	200	2	202
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	201	2	203

Merged error: 0b

Counts

203 → 2

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
0.0b	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
0.0b	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
0.2b	(* NaChar (/ 1 (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

210×	`*-un-lft-identity`
107×	`times-frac`
85×	`add-sqr-sqrt`
66×	`add-cube-cbrt`
58×	`exp-prod`
56×	`distribute-lft-out`
36×	`distribute-lft-out--`
33×	`distribute-rgt-neg-in`
21×	`distribute-lft-neg-in`
18×	`associate-r`
17×	`add-exp-log`
16×	`associate-/l*`
13×	`add-cbrt-cube`
11×	`associate-/r*`
10×	`associate-*r/`
6×	`pow1` `difference-of-squares`
5×	`add-log-exp`
4×	`div-sub` `div-exp` `prod-exp` `clear-num` `associate-/r/` `div-inv`
3×	`cbrt-undiv` `neg-mul-1` `frac-2neg` `flip3-+` `associate-l` `un-div-inv` `flip-+` `unswap-sqr`
2×	`neg-sub0` `cbrt-unprod` `associate-/l/`
1×	`exp-neg` `associate-+r-` `rec-exp` `exp-diff` `1-exp` `distribute-frac-neg` `unsub-neg` `pow-prod-down` `*-commutative` `rem-exp-log`

Counts

4 → 209

Calls

4 calls:

15.0ms	(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
14.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
19.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
23.0ms	(* NaChar (/ 1 (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))))

series386.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
53.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
60.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
138.0ms	(* NaChar (/ 1 (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))))

simplify82.0ms

Algorithm

egg-herbie

Counts

221 → 221

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	797	1905
1	2968	1740
2	5002	1699

prune835.0ms

Filtered

221 candidates to 132 candidates (59.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	220	1	221
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	221	2	223

Merged error: 0b

Counts

223 → 2

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
0.0b	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
0.1b	(/ 1 (/ (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))) NdChar))
0.2b	(* NaChar (/ 1 (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

273×	`*-un-lft-identity`
191×	`times-frac`
127×	`add-sqr-sqrt`
108×	`add-cube-cbrt`
66×	`distribute-lft-out`
58×	`exp-prod`
36×	`distribute-lft-out--`
33×	`distribute-rgt-neg-in`
26×	`add-exp-log` `associate-/r*`
22×	`associate-/l*`
21×	`distribute-lft-neg-in`
18×	`associate-r`
16×	`add-cbrt-cube`
14×	`associate-/r/`
10×	`associate-*r/` `div-exp`
8×	`div-inv`
7×	`pow1`
6×	`clear-num` `difference-of-squares`
5×	`cbrt-undiv` `add-log-exp`
4×	`frac-2neg` `div-sub` `prod-exp` `associate-/l/`
3×	`neg-mul-1` `rec-exp` `flip3-+` `1-exp` `associate-l` `un-div-inv` `flip-+` `remove-double-div` `unswap-sqr`
2×	`neg-sub0` `cbrt-unprod`
1×	`exp-neg` `associate-+r-` `pow-flip` `exp-diff` `distribute-frac-neg` `unsub-neg` `pow-prod-down` `*-commutative` `rem-exp-log` `inv-pow`

Counts

4 → 278

Calls

4 calls:

18.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
20.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
20.0ms	(/ 1 (/ (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))) NdChar))
20.0ms	(* NaChar (/ 1 (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))))

series405.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
58.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
156.0ms	(/ 1 (/ (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))) NdChar))
134.0ms	(* NaChar (/ 1 (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))))

simplify111.0ms

Algorithm

egg-herbie

Counts

290 → 290

Iterations

Useful iterations: 2 (85.0ms)

Iter	Nodes	Cost
0	1010	2955
1	4056	2698
2	5002	2585

prune978.0ms

Filtered

290 candidates to 150 candidates (51.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	290	0	290
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	290	2	292

Merged error: 0b

Counts

292 → 2

regimes244.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	18
1	40	18

end0.0ms

sample969.0ms

Algorithm

intervals

Results

585.0ms	7999×	body	80	valid
0.0ms	1×	body	1280	valid