Details

sample56.0ms

Algorithm

intervals

Results

22.0ms

256×

body

valid

simplify39.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune7.0ms

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

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

277×	`*-un-lft-identity`
120×	`times-frac`
88×	`distribute-lft-out`
87×	`add-sqr-sqrt`
71×	`add-cube-cbrt`
49×	`distribute-rgt-neg-in`
48×	`distribute-lft-out--`
31×	`exp-prod`
30×	`associate-/l*`
28×	`distribute-lft-neg-in`
10×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
8×	`difference-of-squares`
7×	`div-sub`
5×	`add-log-exp`
4×	`pow1` `neg-mul-1` `div-inv` `associate-/l/`
3×	`cbrt-undiv` `neg-sub0` `frac-2neg` `exp-diff` `div-exp` `clear-num`
2×	`associate-+r-` `flip3-+` `unsub-neg` `associate-/r/` `flip-+` `distribute-neg-frac`
1×	`flip3--` `distribute-frac-neg` `flip--` `rem-exp-log`

Counts

4 → 222

Calls

4 calls:

14.0ms	(/ NdChar (+ 1.0 (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))))
13.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT)
14.0ms	(/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)
13.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT))

series113.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(/ NdChar (+ 1.0 (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))))
15.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT)
16.0ms	(/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)
26.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT))

simplify59.0ms

Algorithm

egg-herbie

Counts

234 → 234

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	647	1989
1	2281	1873
2	5002	1862

prune224.0ms

Filtered

133 candidates to 234 candidates (-75.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	232	2	234
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	233	2	235

Merged error: 0.0b

Counts

235 → 2

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

278×	`*-un-lft-identity`
120×	`times-frac`
88×	`add-sqr-sqrt` `distribute-lft-out`
72×	`add-cube-cbrt`
49×	`distribute-rgt-neg-in`
48×	`distribute-lft-out--`
31×	`pow-unpow`
30×	`associate-/l*`
28×	`distribute-lft-neg-in`
11×	`add-exp-log`
10×	`associate-/r*` `add-cbrt-cube`
8×	`difference-of-squares`
7×	`div-sub`
5×	`pow1`
4×	`neg-mul-1` `div-inv` `associate-/l/` `add-log-exp`
3×	`cbrt-undiv` `neg-sub0` `unpow-prod-down` `frac-2neg` `div-exp` `clear-num` `pow-sub`
2×	`associate-+r-` `flip3-+` `unsub-neg` `pow-exp` `associate-/r/` `flip-+` `distribute-neg-frac`
1×	`pow-to-exp` `e-exp-1` `flip3--` `pow-pow` `distribute-frac-neg` `flip--` `sqr-pow`

Counts

4 → 229

Calls

4 calls:

14.0ms	(/ NdChar (+ 1.0 (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))))
13.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT)
14.0ms	(/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)
16.0ms	(pow E (/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT))

series115.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(/ NdChar (+ 1.0 (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))))
15.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT)
16.0ms	(/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)
29.0ms	(pow E (/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT))

simplify69.0ms

Algorithm

egg-herbie

Counts

241 → 241

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	725	2054
1	2748	1940
2	5001	1928

prune407.0ms

Filtered

137 candidates to 241 candidates (-75.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	241	0	241
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	241	2	243

Merged error: 0.0b

Counts

243 → 2

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

333×	`*-un-lft-identity`
204×	`times-frac`
127×	`add-sqr-sqrt`
111×	`add-cube-cbrt`
96×	`distribute-lft-out`
49×	`distribute-rgt-neg-in`
48×	`distribute-lft-out--`
31×	`exp-prod`
30×	`associate-/l*`
28×	`distribute-lft-neg-in`
22×	`associate-/r*`
19×	`add-exp-log`
13×	`add-cbrt-cube`
9×	`div-exp`
8×	`div-inv` `difference-of-squares`
7×	`div-sub`
5×	`pow1` `cbrt-undiv` `add-log-exp`
4×	`neg-mul-1` `associate-/l/`
3×	`neg-sub0` `frac-2neg` `exp-diff` `clear-num`
2×	`associate-+r-` `rec-exp` `1-exp` `unsub-neg` `distribute-neg-frac`
1×	`flip3--` `pow-flip` `flip3-+` `distribute-frac-neg` `associate-/r/` `flip--` `flip-+` `rem-exp-log` `inv-pow`

Counts

4 → 277

Calls

4 calls:

13.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT)
15.0ms	(/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)
16.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT))
18.0ms	(/ 1 (/ (+ 1.0 (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))) NdChar))

series129.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT)
18.0ms	(/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)
22.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT))
73.0ms	(/ 1 (/ (+ 1.0 (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))) NdChar))

simplify97.0ms

Algorithm

egg-herbie

Counts

289 → 289

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	833	2945
1	3313	2739
2	5001	2639

prune234.0ms

Filtered

143 candidates to 289 candidates (-102.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	289	0	289
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	289	2	291

Merged error: 0.0b

Counts

291 → 2

regimes802.0ms

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	38	17
1	40	17
2	40	17

end0.0ms

sample1.5s

Algorithm

intervals

Results

720.0ms	8000×	body	80	valid
2.0ms	2×	body	5120	exit

Details

sample56.0ms

simplify39.0ms

prune7.0ms

localize27.0ms

rewrite66.0ms

series113.0ms

simplify59.0ms

prune224.0ms

localize25.0ms

rewrite69.0ms

series115.0ms

simplify69.0ms

prune407.0ms

localize26.0ms

rewrite78.0ms

series129.0ms

simplify97.0ms

prune234.0ms

regimes802.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.5s

Profiling