Details

sample44.0ms

Algorithm

intervals

Results

20.0ms

256×

body

valid

simplify48.0ms

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	1425	17
5	2733	17
6	5001	17

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite2.0s

Algorithm

rewrite-expression-head

Rules

213×	`*-un-lft-identity`
93×	`times-frac`
75×	`add-sqr-sqrt`
59×	`add-cube-cbrt`
53×	`distribute-lft-out`
48×	`distribute-lft-out--`
40×	`distribute-rgt-neg-in`
30×	`associate-/l*`
28×	`distribute-lft-neg-in`
10×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
8×	`difference-of-squares`
6×	`add-log-exp`
4×	`pow1` `expm1-log1p-u` `neg-mul-1` `div-sub` `log1p-expm1-u` `associate-/l/`
3×	`cbrt-undiv` `fma-def` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv`
2×	`neg-sub0` `associate-/r/` `distribute-neg-frac`
1×	`+-commutative` `associate-+r-` `flip3--` `distribute-frac-neg` `unsub-neg` `sum-log` `flip--`

Counts

4 → 203

Calls

4 calls:

932.0ms	(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
219.0ms	(+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))
533.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
295.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)

series293.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
65.0ms	(+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))
57.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
49.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)

simplify66.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	689	1963
1	2421	1845
2	5001	1820

prune1.5s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
0.0b	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
0.1b	(/ NdChar (sqrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))))
0.1b	(/ (/ NdChar (sqrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))) (sqrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))))

rewrite4.1s

Algorithm

rewrite-expression-head

Rules

489×	`*-un-lft-identity`
459×	`times-frac`
249×	`add-sqr-sqrt`
233×	`add-cube-cbrt`
224×	`sqrt-prod`
104×	`distribute-lft-out`
57×	`associate-/l*`
48×	`distribute-lft-out--`
40×	`distribute-rgt-neg-in`
28×	`distribute-lft-neg-in`
20×	`sqrt-div` `associate-/r*` `associate-/r/`
15×	`add-exp-log` `add-cbrt-cube`
12×	`div-inv`
11×	`flip3-+` `flip-+`
8×	`difference-of-squares`
6×	`cbrt-undiv` `div-exp`
5×	`associate-/l/`
4×	`pow1` `expm1-log1p-u` `neg-mul-1` `frac-2neg` `div-sub` `clear-num` `log1p-expm1-u` `add-log-exp`
2×	`neg-sub0` `distribute-neg-frac`
1×	`associate-+r-` `flip3--` `distribute-frac-neg` `unsub-neg` `flip--`

Counts

4 → 440

Calls

4 calls:

534.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
292.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
938.0ms	(/ NdChar (sqrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))))
2.3s	(/ (/ NdChar (sqrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))) (sqrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))))

series401.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
53.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
164.0ms	(/ NdChar (sqrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))))
128.0ms	(/ (/ NdChar (sqrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))) (sqrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))))

simplify149.0ms

Algorithm

egg-herbie

Counts

452 → 452

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	1184	9879
1	4370	8991
2	5001	8968

prune4.3s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes292.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	17
1	35	17

end0.0ms

sample1.0s

Algorithm

intervals

Results

633.0ms	7999×	body	80	valid
1.0ms	2×	body	10240	exit
0.0ms	1×	body	160	valid