Details

analyze1.5s

Algorithm: search

sample43.0ms

Algorithm

intervals

Results

22.0ms

256×

body

valid

simplify48.0ms

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

prune10.0ms

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

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

212×	`*-un-lft-identity`
93×	`times-frac`
74×	`add-sqr-sqrt`
58×	`add-cube-cbrt`
53×	`distribute-lft-out`
48×	`distribute-lft-out--`
40×	`distribute-rgt-neg-in`
30×	`associate-/l*`
28×	`distribute-lft-neg-in`
10×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
8×	`difference-of-squares`
6×	`add-log-exp`
4×	`pow1` `neg-mul-1` `div-sub` `associate-/l/`
3×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv`
2×	`neg-sub0` `associate-/r/` `distribute-neg-frac`
1×	`+-commutative` `associate-+r-` `flip3--` `distribute-frac-neg` `unsub-neg` `sum-log` `flip--`

Counts

4 → 192

Calls

4 calls:

14.0ms	(+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT)))
16.0ms	(/ NdChar (+ 1.0 (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))))
15.0ms	(/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)
14.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT)

series120.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT)))
61.0ms	(/ NdChar (+ 1.0 (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))))
17.0ms	(/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)
16.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT)

simplify62.0ms

Algorithm

egg-herbie

Counts

204 → 204

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	670	1896
1	2336	1779
2	5001	1769

prune208.0ms

Filtered

124 candidates to 204 candidates (-64.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	203	1	204
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	203	2	205

Merged error: 0b

Counts

205 → 2

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

184×	`*-un-lft-identity`
133×	`times-frac`
124×	`add-sqr-sqrt`
78×	`add-cube-cbrt`
67×	`sqrt-prod`
62×	`distribute-lft-out`
34×	`add-exp-log`
27×	`associate-r` `associate-l`
22×	`add-cbrt-cube`
17×	`associate-/r*`
15×	`associate-/l*` `unswap-sqr`
12×	`distribute-rgt-neg-in` `div-exp`
8×	`pow1` `sqrt-div` `prod-exp` `associate-/r/`
7×	`cbrt-undiv`
5×	`flip3-+` `flip-+` `div-inv`
4×	`cbrt-unprod` `add-log-exp`
3×	`rec-exp` `pow-flip` `frac-2neg` `1-exp` `div-sub` `clear-num`
2×	`associate-/l/`
1×	`neg-sub0` `frac-times` `associate-+r-` `sqrt-pow1` `pow1/2` `associate-r/` `unsub-neg` `pow-prod-down` `associate-l/` `*-commutative` `inv-pow`

Counts

4 → 245

Calls

4 calls:

16.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT)
47.0ms	(* (/ 1 (sqrt (+ 1.0 (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))))) (/ NdChar (sqrt (+ 1.0 (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))))))
17.0ms	(/ NdChar (sqrt (+ 1.0 (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)))))
20.0ms	(/ 1 (sqrt (+ 1.0 (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)))))

series255.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT)
76.0ms	(* (/ 1 (sqrt (+ 1.0 (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))))) (/ NdChar (sqrt (+ 1.0 (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))))))
76.0ms	(/ NdChar (sqrt (+ 1.0 (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)))))
87.0ms	(/ 1 (sqrt (+ 1.0 (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)))))

simplify103.0ms

Algorithm

egg-herbie

Counts

257 → 257

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	845	4300
1	4051	3804
2	5001	3560

prune315.0ms

Filtered

132 candidates to 257 candidates (-94.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	257	0	257
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	257	2	259

Merged error: 0b

Counts

259 → 2

regimes899.0ms

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

sample1.2s

Algorithm

intervals

Results

779.0ms

8000×

body

valid

Details

analyze1.5s

sample43.0ms

simplify48.0ms

prune10.0ms

localize23.0ms

rewrite68.0ms

series120.0ms

simplify62.0ms

prune208.0ms

localize26.0ms

rewrite111.0ms

series255.0ms

simplify103.0ms

prune315.0ms

regimes899.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze1.5s

sample1.2s

Profiling