Details

sample44.0ms

Algorithm

intervals

Results

21.0ms	256×	body	80	valid
1.0ms	1×	body	10240	exit

simplify51.0ms

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

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

277×	`*-un-lft-identity`
135×	`times-frac`
105×	`add-sqr-sqrt`
84×	`distribute-lft-out--`
77×	`add-cube-cbrt`
61×	`distribute-rgt-neg-in`
58×	`exp-prod`
49×	`distribute-lft-neg-in` `distribute-lft-out`
27×	`associate-/l*`
14×	`difference-of-squares`
8×	`add-exp-log` `add-cbrt-cube`
7×	`neg-mul-1` `add-log-exp`
6×	`associate-/r*`
5×	`div-sub`
4×	`pow1` `associate-/l/`
3×	`neg-sub0` `div-inv`
2×	`cbrt-undiv` `frac-2neg` `flip3-+` `distribute-frac-neg` `div-exp` `clear-num` `flip-+` `distribute-neg-frac`
1×	`+-commutative` `exp-neg` `associate-+r-` `flip3--` `exp-diff` `unsub-neg` `sum-log` `flip--` `rem-exp-log`

Counts

4 → 227

Calls

4 calls:

13.0ms	(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
14.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
18.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
20.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))

series254.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
57.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
62.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
63.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))

simplify66.0ms

Algorithm

egg-herbie

Counts

239 → 239

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	558	1892
1	1980	1800
2	5002	1768

prune690.0ms

Filtered

239 candidates to 140 candidates (58.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	237	2	239
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	238	2	240

Merged error: 0.0b

Counts

240 → 2

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

222×	`*-un-lft-identity`
99×	`times-frac`
80×	`add-sqr-sqrt`
60×	`add-cube-cbrt` `distribute-lft-out--`
50×	`exp-prod`
48×	`distribute-lft-out`
26×	`pow-flip`
19×	`associate-/l*`
13×	`add-exp-log`
12×	`distribute-rgt-neg-in` `div-sub`
10×	`add-cbrt-cube` `difference-of-squares`
9×	`associate--l-` `associate-/r*`
6×	`exp-diff` `div-exp`
5×	`pow1` `div-inv` `add-log-exp`
4×	`associate-/l/`
3×	`cbrt-undiv` `frac-2neg` `clear-num` `associate-/r/`
2×	`rec-exp` `1-exp`
1×	`neg-sub0` `associate-+r-` `flip3--` `flip3-+` `unsub-neg` `flip--` `flip-+` `rem-exp-log` `inv-pow`

Counts

4 → 202

Calls

4 calls:

13.0ms	(/ (- (- (- Ec Vef) EDonor) mu) KbT)
18.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
19.0ms	(/ 1 (exp (/ (- (- (- Ec Vef) EDonor) mu) KbT)))
16.0ms	(exp (/ (- (- (- Ec Vef) EDonor) mu) KbT))

series262.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(/ (- (- (- Ec Vef) EDonor) mu) KbT)
56.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
79.0ms	(/ 1 (exp (/ (- (- (- Ec Vef) EDonor) mu) KbT)))
65.0ms	(exp (/ (- (- (- Ec Vef) EDonor) mu) KbT))

simplify62.0ms

Algorithm

egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	498	1539
1	1865	1427
2	5002	1405

prune610.0ms

Filtered

214 candidates to 125 candidates (58.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	214	0	214
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	214	2	216

Merged error: 0.0b

Counts

216 → 2

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
0.0b	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
0.0b	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
0.2b	(* (sqrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))) (sqrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

293×	`*-un-lft-identity`
162×	`times-frac`
151×	`add-sqr-sqrt`
120×	`distribute-lft-out--`
116×	`exp-prod`
99×	`add-cube-cbrt`
70×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
26×	`sqrt-prod`
20×	`difference-of-squares`
19×	`pow1`
18×	`associate-/l*`
12×	`sqrt-div`
11×	`swap-sqr`
10×	`neg-mul-1`
8×	`add-exp-log` `sqrt-pow1` `pow1/2` `add-cbrt-cube`
7×	`associate-r` `associate-l`
6×	`flip3-+` `flip-+` `distribute-lft-out` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`neg-sub0` `div-sub` `distribute-frac-neg` `pow-prod-down` `associate-/r*` `pow-sqr` `div-inv`
2×	`exp-neg` `exp-diff` `associate-r/` `associate-l/` `rem-exp-log` `associate-/l/` `distribute-neg-frac`
1×	`cbrt-undiv` `pow2` `flip3--` `frac-2neg` `pow-plus` `sqrt-unprod` `div-exp` `prod-exp` `clear-num` `rem-square-sqrt` `*-commutative` `flip--` `cbrt-unprod`

Counts

4 → 289

Calls

4 calls:

19.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
21.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
21.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
34.0ms	(* (sqrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))) (sqrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))))

series257.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
62.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
58.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
74.0ms	(* (sqrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))) (sqrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))))

simplify82.0ms

Algorithm

egg-herbie

Counts

301 → 301

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	494	2649
1	1847	2501
2	5001	2424

prune1.1s

Filtered

301 candidates to 169 candidates (56.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	301	0	301
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	301	2	303

Merged error: 0.0b

Counts

303 → 2

regimes242.0ms

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	36	17
1	36	17

end0.0ms

sample953.0ms

Algorithm

intervals

Results

563.0ms	7999×	body	80	valid
1.0ms	2×	body	10240	exit
0.0ms	1×	body	160	valid