Details

sample43.0ms

Algorithm

intervals

Results

21.0ms

256×

body

valid

simplify47.0ms

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	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

localize22.0ms

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)

rewrite84.0ms

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` `expm1-log1p-u` `exp-diff` `log1p-expm1-u` `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 → 265

Calls

4 calls:

14.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
17.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
21.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
18.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)

series227.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
55.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
57.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
57.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)

simplify61.0ms

Algorithm

egg-herbie

Counts

277 → 277

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	545	2048
1	1964	1945
2	5001	1911

prune885.0ms

Filtered

277 candidates to 157 candidates (56.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	275	2	277
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	276	2	278

Merged error: 0.0b

Counts

278 → 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)

rewrite77.0ms

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:

6.0ms	(/ NaChar (+ 1.0 (pow E (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))
20.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
22.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
15.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)

series337.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(/ NaChar (+ 1.0 (pow E (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))
60.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
62.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
54.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)

simplify74.0ms

Algorithm

egg-herbie

Counts

268 → 268

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	687	2268
1	2437	2143
2	5001	2108

prune938.0ms

Filtered

268 candidates to 162 candidates (60.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 0.0b

Counts

270 → 2

localize26.0ms

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)

rewrite102.0ms

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` `expm1-log1p-u` `log1p-expm1-u` `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 → 314

Calls

4 calls:

16.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
22.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
22.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
19.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)

series228.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify76.0ms

Algorithm

egg-herbie

Counts

326 → 326

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	503	2620
1	1849	2511
2	5001	2466

prune1.4s

Filtered

326 candidates to 193 candidates (59.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	325	1	326
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	325	3	328

Merged error: 0.0b

Counts

328 → 3

localize39.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (/ NaChar (+ 1.0 (pow E (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))))
0.3b	(cbrt (/ NaChar (+ 1.0 (pow E (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))))
0.3b	(cbrt (/ NaChar (+ 1.0 (pow E (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))))
0.3b	(* (cbrt (/ NaChar (+ 1.0 (pow E (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))) (cbrt (/ NaChar (+ 1.0 (pow E (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

150×	`cbrt-prod`
128×	`*-un-lft-identity`
102×	`times-frac`
92×	`add-sqr-sqrt`
68×	`add-cube-cbrt`
27×	`swap-sqr` `distribute-lft-out`
21×	`associate-r` `associate-l`
14×	`associate-/r/`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `flip3-+` `flip-+` `div-inv`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 188

Calls

4 calls:

6.0ms	(cbrt (/ NaChar (+ 1.0 (pow E (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))))
6.0ms	(cbrt (/ NaChar (+ 1.0 (pow E (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))))
6.0ms	(cbrt (/ NaChar (+ 1.0 (pow E (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))))
23.0ms	(* (cbrt (/ NaChar (+ 1.0 (pow E (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))) (cbrt (/ NaChar (+ 1.0 (pow E (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))))

series1.5s

Counts

4 → 12

Calls

4 calls:

348.0ms	(cbrt (/ NaChar (+ 1.0 (pow E (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))))
342.0ms	(cbrt (/ NaChar (+ 1.0 (pow E (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))))
342.0ms	(cbrt (/ NaChar (+ 1.0 (pow E (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))))
484.0ms	(* (cbrt (/ NaChar (+ 1.0 (pow E (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))) (cbrt (/ NaChar (+ 1.0 (pow E (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))))

simplify89.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	605	4468
1	1977	4324
2	5001	4094

prune1.1s

Filtered

200 candidates to 146 candidates (73.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	199	1	200
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	200	3	203

Merged error: 0.0b

Counts

203 → 3

regimes343.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	37	26
1	37	26

end0.0ms

sample1.0s

Algorithm

intervals

Results

604.0ms	7999×	body	80	valid
1.0ms	1×	body	10240	exit
0.0ms	1×	body	640	valid