Details

analyze1.5s

Algorithm: search

sample45.0ms

Algorithm

intervals

Results

23.0ms

256×

body

valid

simplify43.0ms

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

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

191×	`*-un-lft-identity`
93×	`times-frac`
67×	`add-sqr-sqrt`
58×	`exp-prod`
55×	`add-cube-cbrt`
53×	`distribute-lft-out`
36×	`distribute-lft-out--`
33×	`distribute-rgt-neg-in`
21×	`distribute-lft-neg-in`
12×	`associate-/l*`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-/r*` `add-log-exp`
6×	`difference-of-squares`
4×	`pow1` `div-sub`
3×	`neg-mul-1` `flip3-+` `flip-+` `div-inv`
2×	`cbrt-undiv` `neg-sub0` `frac-2neg` `div-exp` `clear-num` `associate-/r/` `associate-/l/`
1×	`+-commutative` `exp-neg` `associate-+r-` `exp-diff` `distribute-frac-neg` `unsub-neg` `sum-log` `rem-exp-log`

Counts

4 → 169

Calls

4 calls:

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

series115.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(+ 1.0 (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)))
14.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT)
21.0ms	(exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))
56.0ms	(/ NdChar (+ 1.0 (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))))

simplify53.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	557	1519
1	1890	1419
2	5001	1407

prune188.0ms

Filtered

109 candidates to 181 candidates (-66.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	179	2	181
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	179	3	182

Merged error: 0b

Counts

182 → 3

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

247×	`*-un-lft-identity`
177×	`times-frac`
107×	`add-sqr-sqrt`
95×	`add-cube-cbrt`
61×	`distribute-lft-out`
58×	`exp-prod`
36×	`distribute-lft-out--`
33×	`distribute-rgt-neg-in`
21×	`distribute-lft-neg-in`
19×	`associate-/r*`
17×	`add-exp-log`
12×	`associate-/l*`
11×	`add-cbrt-cube`
8×	`div-exp`
7×	`div-inv` `add-log-exp`
6×	`difference-of-squares`
5×	`pow1`
4×	`cbrt-undiv` `div-sub`
3×	`neg-mul-1`
2×	`neg-sub0` `rec-exp` `frac-2neg` `flip3-+` `1-exp` `clear-num` `flip-+` `associate-/l/`
1×	`+-commutative` `exp-neg` `associate-+r-` `pow-flip` `exp-diff` `distribute-frac-neg` `unsub-neg` `sum-log` `associate-/r/` `rem-exp-log` `inv-pow`

Counts

4 → 224

Calls

4 calls:

13.0ms	(+ 1.0 (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)))
14.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT)
19.0ms	(exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))
19.0ms	(/ 1 (/ (+ 1.0 (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))) NdChar))

series135.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ 1.0 (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)))
17.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT)
21.0ms	(exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))
71.0ms	(/ 1 (/ (+ 1.0 (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))) NdChar))

simplify75.0ms

Algorithm

egg-herbie

Counts

236 → 236

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	768	2475
1	2963	2285
2	5002	2179

prune200.0ms

Filtered

118 candidates to 236 candidates (-100.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	236	0	236
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	236	3	239

Merged error: 0b

Counts

239 → 3

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT)
0.0b	(exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))
0.0b	(/ NdChar (+ 1.0 (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))))
25.3b	(cbrt (pow (/ NdChar (+ 1.0 (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)))) 3))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 209

Calls

4 calls:

13.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT)
15.0ms	(exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))
17.0ms	(/ NdChar (+ 1.0 (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))))
17.0ms	(cbrt (pow (/ NdChar (+ 1.0 (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)))) 3))

series148.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT)
20.0ms	(exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))
53.0ms	(/ NdChar (+ 1.0 (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))))
60.0ms	(cbrt (pow (/ NdChar (+ 1.0 (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)))) 3))

simplify76.0ms

Algorithm

egg-herbie

Counts

221 → 221

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	842	2213
1	3323	2148
2	5001	2144

prune240.0ms

Filtered

120 candidates to 221 candidates (-84.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	221	0	221
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	221	3	224

Merged error: 0b

Counts

224 → 3

regimes935.0ms

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	35	17
1	35	17

end0.0ms

analyze1.5s

Algorithm: search

sample1.1s

Algorithm

intervals

Results

737.0ms	7999×	body	80	valid
0.0ms	1×	body	320	valid

Details

analyze1.5s

sample45.0ms

simplify43.0ms

prune7.0ms

localize22.0ms

rewrite66.0ms

series115.0ms

simplify53.0ms

prune188.0ms

localize24.0ms

rewrite77.0ms

series135.0ms

simplify75.0ms

prune200.0ms

localize24.0ms

rewrite73.0ms

series148.0ms

simplify76.0ms

prune240.0ms

regimes935.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze1.5s

sample1.1s

Profiling