Details

sample37.0ms

Algorithm

intervals

Results

17.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

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

rewrite906.0ms

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` `exp-diff` `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 → 257

Calls

4 calls:

243.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
150.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
323.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
175.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))

series237.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
54.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
61.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
62.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))

simplify57.0ms

Algorithm

egg-herbie

Counts

269 → 269

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	533	1997
1	1930	1894
2	5002	1863

prune947.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- (- (- Ec Vef) EDonor) mu))
0.6b	(cbrt KbT)
0.6b	(cbrt KbT)
0.6b	(cbrt KbT)

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
16×	`cbrt-prod`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt`
6×	`distribute-lft-out--`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
2×	`cbrt-div`
1×	`flip3--` `flip--` `difference-of-squares`

Counts

4 → 50

Calls

4 calls:

41.0ms	(cbrt (- (- (- Ec Vef) EDonor) mu))
0.0ms	(cbrt KbT)
0.0ms	(cbrt KbT)
1.0ms	(cbrt KbT)

series779.0ms

Counts

4 → 12

Calls

4 calls:

241.0ms	(cbrt (- (- (- Ec Vef) EDonor) mu))
183.0ms	(cbrt KbT)
177.0ms	(cbrt KbT)
178.0ms	(cbrt KbT)

simplify39.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 3 (34.0ms)

Iter	Nodes	Cost
0	174	285
1	397	260
2	1369	252
3	5001	249

prune437.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)) 3)
0.0b	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
0.0b	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
0.3b	(cbrt (pow (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)) 3))

rewrite822.0ms

Algorithm

rewrite-expression-head

Rules

226×	`*-un-lft-identity`
120×	`exp-prod`
108×	`times-frac`
76×	`add-sqr-sqrt`
72×	`distribute-lft-out`
64×	`add-cube-cbrt`
39×	`distribute-rgt-neg-in`
36×	`distribute-lft-out--`
32×	`pow-pow`
21×	`distribute-lft-neg-in`
12×	`cbrt-prod`
10×	`exp-diff` `div-sub`
6×	`cube-div` `unpow-prod-down` `cube-prod` `add-log-exp` `difference-of-squares`
5×	`pow1` `add-cbrt-cube`
4×	`add-exp-log` `neg-sub0`
3×	`associate-+r-` `neg-mul-1` `pow-unpow` `cbrt-div` `unsub-neg` `div-inv`
2×	`cube-mult` `unpow3` `rem-exp-log` `sqr-pow`
1×	`exp-neg` `pow-to-exp` `pow1/3` `distribute-frac-neg` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 191

Calls

4 calls:

218.0ms	(pow (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)) 3)
321.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
171.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
100.0ms	(cbrt (pow (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)) 3))

series308.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(pow (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)) 3)
55.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
73.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
82.0ms	(cbrt (pow (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)) 3))

simplify56.0ms

Algorithm

egg-herbie

Counts

203 → 203

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	474	1450
1	1662	1371
2	5001	1349

prune743.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
0.2b	(cbrt (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
0.2b	(cbrt (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
0.3b	(cbrt (pow (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)) 3))

rewrite1.0s

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`cbrt-div`
6×	`exp-diff` `div-sub`
4×	`pow1` `add-exp-log` `neg-sub0` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`cube-div` `exp-neg` `unpow-prod-down` `cube-prod` `distribute-frac-neg`
1×	`cube-mult` `associate-+r-` `unpow3` `unsub-neg` `rem-cbrt-cube` `sqr-pow`

Counts

4 → 63

Calls

4 calls:

316.0ms	(cbrt (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
314.0ms	(cbrt (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
310.0ms	(cbrt (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
99.0ms	(cbrt (pow (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)) 3))

series327.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(cbrt (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
89.0ms	(cbrt (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
91.0ms	(cbrt (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
58.0ms	(cbrt (pow (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)) 3))

simplify79.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (60.0ms)

Iter	Nodes	Cost
0	205	768
1	617	707
2	1878	701
3	5002	665

prune594.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes258.0ms

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	42	36
1	42	36

end0.0ms

sample934.0ms

Algorithm

intervals

Results

559.0ms	7998×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid