Details

sample42.0ms

Algorithm

intervals

Results

20.0ms

256×

body

valid

simplify45.0ms

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	1422	17
5	2726	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

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

342×	`*-un-lft-identity`
162×	`times-frac`
118×	`add-sqr-sqrt`
90×	`add-cube-cbrt`
89×	`exp-prod`
84×	`distribute-lft-out` `distribute-lft-out--`
70×	`distribute-rgt-neg-in`
49×	`distribute-lft-neg-in`
27×	`associate-/l*`
14×	`difference-of-squares`
8×	`add-exp-log` `div-sub` `add-cbrt-cube`
7×	`neg-mul-1`
6×	`associate-/r*` `add-log-exp`
4×	`pow1` `neg-sub0` `exp-diff` `div-inv` `associate-/l/`
2×	`cbrt-undiv` `associate-+r-` `frac-2neg` `distribute-frac-neg` `div-exp` `unsub-neg` `clear-num` `rem-exp-log` `distribute-neg-frac`
1×	`exp-neg` `flip3--` `flip3-+` `flip--` `flip-+`

Counts

4 → 257

Calls

4 calls:

14.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
16.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
19.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
14.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)

series231.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
55.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
59.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
58.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)

simplify63.0ms

Algorithm

egg-herbie

Counts

269 → 269

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	533	1997
1	1930	1894
2	5002	1863

prune1.0s

Filtered

269 candidates to 149 candidates (55.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	267	2	269
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	268	2	270

Merged error: 0.0b

Counts

270 → 2

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite81.0ms

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` `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 → 248

Calls

4 calls:

6.0ms	(/ NaChar (+ 1.0 (pow E (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))
20.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
16.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
15.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)

series323.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(/ NaChar (+ 1.0 (pow E (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))
57.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
55.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
57.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)

simplify73.0ms

Algorithm

egg-herbie

Counts

260 → 260

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	671	2216
1	2374	2087
2	5001	2053

prune865.0ms

Filtered

260 candidates to 154 candidates (59.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	259	1	260
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	260	2	262

Merged error: 0.0b

Counts

262 → 2

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

378×	`*-un-lft-identity`
189×	`times-frac`
152×	`add-sqr-sqrt`
132×	`distribute-lft-out--`
108×	`add-cube-cbrt`
89×	`distribute-rgt-neg-in`
77×	`distribute-lft-neg-in`
58×	`exp-prod`
48×	`distribute-lft-out`
45×	`associate-/l*`
22×	`difference-of-squares`
11×	`neg-mul-1`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/r*`
6×	`div-sub` `associate-/l/`
5×	`add-log-exp`
4×	`pow1` `neg-sub0` `div-inv` `distribute-neg-frac`
3×	`cbrt-undiv` `frac-2neg` `distribute-frac-neg` `div-exp` `clear-num`
2×	`flip3--` `flip--`
1×	`exp-neg` `associate-+r-` `flip3-+` `exp-diff` `unsub-neg` `flip-+` `rem-exp-log`

Counts

4 → 306

Calls

4 calls:

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

series225.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
58.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
60.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
52.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)

simplify77.0ms

Algorithm

egg-herbie

Counts

318 → 318

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	493	2572
1	1817	2463
2	5001	2421

prune1.3s

Filtered

318 candidates to 185 candidates (58.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	316	2	318
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	317	3	320

Merged error: 0.0b

Counts

320 → 3

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
0.0b	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
0.0b	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
0.2b	(* (- (- (- (- Ec Vef) EDonor) mu)) (/ 1 KbT))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

304×	`*-un-lft-identity`
146×	`times-frac`
126×	`add-sqr-sqrt`
96×	`distribute-lft-out--`
87×	`add-cube-cbrt`
68×	`distribute-rgt-neg-in`
58×	`exp-prod`
56×	`distribute-lft-neg-in`
48×	`distribute-lft-out`
27×	`associate-/l*`
18×	`associate-l`
17×	`add-exp-log`
16×	`difference-of-squares`
13×	`associate-r` `add-cbrt-cube`
8×	`neg-mul-1`
6×	`pow1` `associate-/r*` `distribute-neg-frac`
5×	`div-sub` `add-log-exp`
4×	`div-exp` `prod-exp` `div-inv` `associate-/l/`
3×	`cbrt-undiv` `neg-sub0` `flip3--` `flip--` `unswap-sqr`
2×	`frac-times` `frac-2neg` `distribute-frac-neg` `associate-*l/` `clear-num` `cbrt-unprod`
1×	`distribute-lft-neg-out` `exp-neg` `associate-+r-` `rec-exp` `flip3-+` `exp-diff` `1-exp` `associate-r/` `unsub-neg` `pow-prod-down` `un-div-inv` `-commutative` `flip-+` `rem-exp-log`

Counts

4 → 271

Calls

4 calls:

21.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
16.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
14.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
20.0ms	(* (- (- (- (- Ec Vef) EDonor) mu)) (/ 1 KbT))

series220.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
56.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
51.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
59.0ms	(* (- (- (- (- Ec Vef) EDonor) mu)) (/ 1 KbT))

simplify86.0ms

Algorithm

egg-herbie

Counts

283 → 283

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	733	2182
1	3167	2034
2	5001	1988

prune1.2s

Filtered

283 candidates to 168 candidates (59.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	282	1	283
Fresh	1	1	2
Picked	1	0	1
Done	0	0	0
Total	284	2	286

Merged error: 0.0b

Counts

286 → 2

regimes267.0ms

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	49	27
1	53	27
2	56	27
3	56	27

end0.0ms

sample989.0ms

Algorithm

intervals

Results

581.0ms	7999×	body	80	valid
1.0ms	1×	body	10240	exit
0.0ms	1×	body	640	valid