Details

sample40.0ms

Algorithm

intervals

Results

18.0ms

256×

body

valid

simplify45.0ms

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

prune8.0ms

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

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 171

Calls

4 calls:

15.0ms	(+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))
14.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
13.0ms	(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
16.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)

series247.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))
57.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
70.0ms	(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
55.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)

simplify62.0ms

Algorithm

egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	570	1597
1	2013	1501
2	5001	1479

prune587.0ms

Filtered

183 candidates to 110 candidates (60.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	182	1	183
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	183	1	184

Merged error: 0.0b

Counts

184 → 1

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
0.0b	(pow (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))) 3)
0.0b	(cbrt (pow (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))) 3))
0.0b	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

123×	`*-un-lft-identity`
57×	`add-sqr-sqrt`
54×	`times-frac`
48×	`distribute-lft-out--`
41×	`add-cube-cbrt`
28×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
18×	`associate-/l*`
14×	`cbrt-prod`
8×	`unpow-prod-down` `cube-prod` `difference-of-squares`
7×	`add-exp-log` `add-cbrt-cube`
6×	`add-log-exp`
5×	`pow1` `distribute-lft-out`
4×	`cube-div` `neg-mul-1`
3×	`pow-unpow` `flip3-+` `associate-/r*` `flip-+`
2×	`cube-mult` `cbrt-div` `unpow3` `associate-/l/` `distribute-neg-frac` `sqr-pow`
1×	`cbrt-undiv` `+-commutative` `neg-sub0` `pow-to-exp` `flip3--` `pow-pow` `frac-2neg` `pow1/3` `div-sub` `distribute-frac-neg` `div-exp` `pow-exp` `clear-num` `sum-log` `flip--` `rem-cbrt-cube` `div-inv` `rem-cube-cbrt`

Counts

4 → 155

Calls

4 calls:

13.0ms	(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
15.0ms	(pow (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))) 3)
16.0ms	(cbrt (pow (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))) 3))
16.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)

series333.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
137.0ms	(pow (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))) 3)
70.0ms	(cbrt (pow (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))) 3))
56.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)

simplify60.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	501	1680
1	1852	1606
2	5001	1588

prune625.0ms

Filtered

167 candidates to 100 candidates (59.9%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	167	0	167
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	167	1	168

Merged error: 0.0b

Counts

168 → 1

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	19
1	38	19

end0.0ms

sample983.0ms

Algorithm

intervals

Results

594.0ms	7999×	body	80	valid
0.0ms	1×	body	640	valid