Details

sample39.0ms

Algorithm

intervals

Results

19.0ms

256×

body

valid

simplify44.0ms

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	1425	17
5	2733	17
6	5001	17

prune4.0ms

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

localize22.0ms

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))))

rewrite70.0ms

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` `expm1-log1p-u` `div-sub` `associate-/r/` `log1p-expm1-u` `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 → 198

Calls

4 calls:

15.0ms	(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
16.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
16.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
15.0ms	(/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))

series394.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
52.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
52.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
129.0ms	(/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))

simplify64.0ms

Algorithm

egg-herbie

Counts

210 → 210

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	712	1904
1	2415	1775
2	5002	1752

prune802.0ms

Filtered

210 candidates to 131 candidates (62.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	208	2	210
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	209	2	211

Merged error: 0b

Counts

211 → 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)))))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

205×	`*-un-lft-identity`
107×	`times-frac`
83×	`add-sqr-sqrt`
64×	`add-cube-cbrt`
58×	`exp-prod`
55×	`distribute-lft-out`
36×	`distribute-lft-out--`
33×	`distribute-rgt-neg-in`
21×	`distribute-lft-neg-in`
18×	`associate-r`
17×	`add-exp-log`
13×	`add-cbrt-cube`
12×	`associate-/l*`
7×	`associate-/r*`
6×	`pow1` `difference-of-squares`
5×	`add-log-exp`
4×	`expm1-log1p-u` `div-sub` `div-exp` `prod-exp` `associate-/r/` `log1p-expm1-u` `div-inv`
3×	`cbrt-undiv` `neg-mul-1` `flip3-+` `associate-l` `flip-+` `unswap-sqr`
2×	`neg-sub0` `frac-2neg` `clear-num` `cbrt-unprod` `associate-/l/`
1×	`exp-neg` `associate-+r-` `rec-exp` `exp-diff` `1-exp` `associate-r/` `distribute-frac-neg` `unsub-neg` `pow-prod-down` `un-div-inv` `-commutative` `rem-exp-log`

Counts

4 → 206

Calls

4 calls:

17.0ms	(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
17.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
16.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
20.0ms	(* NaChar (/ 1 (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))))

series384.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
56.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
55.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
137.0ms	(* NaChar (/ 1 (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))))

simplify101.0ms

Algorithm

egg-herbie

Counts

218 → 218

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	808	1931
1	3031	1768
2	5002	1728

prune854.0ms

Filtered

218 candidates to 134 candidates (61.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	217	1	218
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	218	2	220

Merged error: 0b

Counts

220 → 2

localize30.0ms

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)))))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

261×	`*-un-lft-identity`
191×	`times-frac`
123×	`add-sqr-sqrt`
104×	`add-cube-cbrt`
63×	`distribute-lft-out`
58×	`exp-prod`
36×	`distribute-lft-out--`
33×	`distribute-rgt-neg-in`
26×	`add-exp-log`
21×	`distribute-lft-neg-in`
19×	`associate-/r*`
18×	`associate-r`
16×	`add-cbrt-cube`
12×	`associate-/l*`
10×	`div-exp`
8×	`div-inv`
7×	`pow1`
6×	`difference-of-squares`
5×	`cbrt-undiv` `add-log-exp`
4×	`expm1-log1p-u` `div-sub` `prod-exp` `log1p-expm1-u`
3×	`neg-mul-1` `rec-exp` `1-exp` `associate-l` `associate-/r/` `unswap-sqr`
2×	`neg-sub0` `frac-2neg` `flip3-+` `clear-num` `cbrt-unprod` `flip-+` `associate-/l/`
1×	`exp-neg` `associate-+r-` `pow-flip` `exp-diff` `associate-r/` `distribute-frac-neg` `unsub-neg` `pow-prod-down` `un-div-inv` `-commutative` `rem-exp-log` `inv-pow`

Counts

4 → 261

Calls

4 calls:

14.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
16.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
19.0ms	(/ 1 (/ (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))) NdChar))
20.0ms	(* NaChar (/ 1 (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))))

series390.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
57.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
153.0ms	(/ 1 (/ (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))) NdChar))
130.0ms	(* NaChar (/ 1 (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))))

simplify97.0ms

Algorithm

egg-herbie

Counts

273 → 273

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	996	2904
1	4011	2639
2	5001	2526

prune944.0ms

Filtered

273 candidates to 147 candidates (53.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	273	0	273
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	273	2	275

Merged error: 0b

Counts

275 → 2

regimes236.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	18
1	40	18

end0.0ms

sample921.0ms

Algorithm

intervals

Results

549.0ms	7999×	body	80	valid
1.0ms	1×	body	1280	valid