Details

sample39.0ms

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	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

localize29.0ms

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)

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

199×	`*-un-lft-identity`
81×	`times-frac`
67×	`add-sqr-sqrt`
51×	`add-cube-cbrt`
50×	`distribute-lft-out`
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×	`fma-def` `associate-/r*`
4×	`pow1` `expm1-log1p-u` `neg-mul-1` `div-sub` `log1p-expm1-u` `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 → 185

Calls

4 calls:

12.0ms	(+ 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)))
21.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)

series239.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))
56.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
67.0ms	(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
54.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)

simplify63.0ms

Algorithm

egg-herbie

Counts

197 → 197

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	588	1652
1	2077	1554
2	5003	1529

prune674.0ms

Filtered

197 candidates to 124 candidates (62.9%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	196	1	197
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	197	1	198

Merged error: 0.0b

Counts

198 → 1

localize26.0ms

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)

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

124×	`*-un-lft-identity`
58×	`add-sqr-sqrt`
54×	`times-frac`
48×	`distribute-lft-out--`
42×	`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` `expm1-log1p-u` `neg-mul-1` `log1p-expm1-u`
3×	`pow-unpow` `fma-def` `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 → 166

Calls

4 calls:

13.0ms	(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
18.0ms	(pow (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))) 3)
16.0ms	(cbrt (pow (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))) 3))
21.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)

series323.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
136.0ms	(pow (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))) 3)
69.0ms	(cbrt (pow (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))) 3))
54.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)

simplify68.0ms

Algorithm

egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	516	1737
1	1884	1664
2	5002	1644

prune874.0ms

Filtered

178 candidates to 111 candidates (62.4%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	178	0	178
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	178	1	179

Merged error: 0.0b

Counts

179 → 1

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	19
1	38	19

end0.0ms

sample973.0ms

Algorithm

intervals

Results

578.0ms	7999×	body	80	valid
0.0ms	1×	body	640	valid