Details

sample41.0ms

Algorithm

intervals

Results

18.0ms

256×

body

valid

simplify49.0ms

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

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

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	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
0.0b	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))

rewrite91.0ms

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:

17.0ms	(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
15.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
23.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
22.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))

series305.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
51.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
60.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
61.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))

simplify74.0ms

Algorithm

egg-herbie

Counts

268 → 268

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	681	2256
1	2389	2143
2	5001	2108

prune1.1s

Filtered

268 candidates to 162 candidates (60.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	266	2	268
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	267	2	269

Merged error: 0.0b

Counts

269 → 2

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
0.0b	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
0.0b	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
0.0b	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

374×	`*-un-lft-identity`
216×	`times-frac`
178×	`add-sqr-sqrt`
168×	`distribute-lft-out--`
122×	`add-cube-cbrt`
116×	`exp-prod`
98×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
36×	`associate-/l*`
28×	`difference-of-squares`
14×	`neg-mul-1`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/r*` `add-log-exp`
4×	`pow1` `neg-sub0` `expm1-log1p-u` `div-sub` `distribute-frac-neg` `log1p-expm1-u` `div-inv` `associate-/l/` `distribute-neg-frac`
2×	`cbrt-undiv` `exp-neg` `flip3--` `frac-2neg` `exp-diff` `div-exp` `clear-num` `flip--` `rem-exp-log`

Counts

4 → 326

Calls

4 calls:

23.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
24.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
21.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
17.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))

series228.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
54.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
59.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
55.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))

simplify108.0ms

Algorithm

egg-herbie

Counts

338 → 338

Iterations

Useful iterations: 3 (74.0ms)

Iter	Nodes	Cost
0	357	2632
1	1052	2546
2	3697	2500
3	5003	2492

prune1.8s

Filtered

338 candidates to 206 candidates (60.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	338	0	338
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	338	2	340

Merged error: 0.0b

Counts

340 → 2

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite93.0ms

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`
12×	`add-exp-log`
10×	`associate-/r*` `add-cbrt-cube`
7×	`neg-mul-1`
5×	`pow1` `div-sub` `add-log-exp`
4×	`expm1-log1p-u` `div-exp` `log1p-expm1-u` `div-inv` `associate-/l/`
3×	`cbrt-undiv` `neg-sub0` `frac-2neg` `clear-num`
2×	`flip3-+` `distribute-frac-neg` `associate-/r/` `flip-+` `distribute-neg-frac`
1×	`exp-neg` `associate-+r-` `rec-exp` `flip3--` `pow-flip` `exp-diff` `1-exp` `unsub-neg` `flip--` `rem-exp-log` `inv-pow`

Counts

4 → 260

Calls

4 calls:

18.0ms	(/ 1 (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
16.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
24.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
22.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))

series277.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(/ 1 (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
51.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
60.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
63.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))

simplify79.0ms

Algorithm

egg-herbie

Counts

272 → 272

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	651	2260
1	2352	2141
2	5001	2084

prune1.0s

Filtered

272 candidates to 155 candidates (57.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	271	1	272
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	272	2	274

Merged error: 0.0b

Counts

274 → 2

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
0.0b	(pow (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))) 3)
0.0b	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
0.4b	(cbrt (/ 1 (pow (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))) 3)))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 251

Calls

4 calls:

23.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
16.0ms	(pow (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))) 3)
17.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
24.0ms	(cbrt (/ 1 (pow (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))) 3)))

series357.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
139.0ms	(pow (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))) 3)
55.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
107.0ms	(cbrt (/ 1 (pow (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))) 3)))

simplify87.0ms

Algorithm

egg-herbie

Counts

263 → 263

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	697	2884
1	2454	2670
2	5001	2633

prune1.1s

Filtered

263 candidates to 140 candidates (53.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	263	0	263
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	263	2	265

Merged error: 0.0b

Counts

265 → 2

regimes245.0ms

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

sample974.0ms

Algorithm

intervals

Results

580.0ms	7999×	body	80	valid
0.0ms	1×	body	640	valid