Details

sample39.0ms

Algorithm

intervals

Results

17.0ms

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

prune5.0ms

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	(/ (- (- (- (- 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))

rewrite909.0ms

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` `expm1-log1p-u` `exp-diff` `log1p-expm1-u` `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 → 265

Calls

4 calls:

265.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
146.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
316.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
169.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))

series243.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
59.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
57.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
64.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))

simplify61.0ms

Algorithm

egg-herbie

Counts

277 → 277

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	545	2048
1	1964	1945
2	5001	1911

prune1.0s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite948.0ms

Algorithm

rewrite-expression-head

Rules

321×	`*-un-lft-identity`
162×	`times-frac`
147×	`exp-prod`
111×	`add-sqr-sqrt`
87×	`add-cube-cbrt`
84×	`distribute-lft-out`
72×	`distribute-lft-out--`
63×	`distribute-rgt-neg-in`
42×	`distribute-lft-neg-in`
12×	`difference-of-squares`
9×	`associate-/l*`
8×	`div-sub`
7×	`add-log-exp`
6×	`add-exp-log` `neg-mul-1` `add-cbrt-cube`
5×	`exp-diff`
4×	`pow1` `neg-sub0` `expm1-log1p-u` `log1p-expm1-u` `div-inv`
3×	`associate-/r*` `rem-exp-log`
2×	`exp-neg` `associate-+r-` `distribute-frac-neg` `unsub-neg` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+`

Counts

4 → 242

Calls

4 calls:

146.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
310.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
309.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
169.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))

series236.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
61.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
56.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
62.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))

simplify67.0ms

Algorithm

egg-herbie

Counts

254 → 254

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	409	1690
1	1463	1584
2	5002	1552

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp (sqrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))) (sqrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))
0.0b	(exp (sqrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))
9.0b	(sqrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
9.0b	(sqrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))

rewrite550.0ms

Algorithm

rewrite-expression-head

Rules

343×	`*-un-lft-identity`
180×	`distribute-lft-out`
155×	`sqrt-prod`
137×	`times-frac`
79×	`add-sqr-sqrt`
73×	`add-cube-cbrt`
68×	`exp-prod`
45×	`distribute-rgt-neg-in`
35×	`pow-pow`
34×	`pow-unpow`
7×	`pow1`
5×	`div-inv` `add-log-exp`
4×	`add-exp-log` `expm1-log1p-u` `rem-sqrt-square` `add-cbrt-cube` `log1p-expm1-u`
3×	`unpow-prod-down`
2×	`sqrt-pow1` `pow1/2` `sqrt-div`
1×	`pow-to-exp` `pow-exp` `rem-exp-log` `sqr-pow`

Counts

4 → 218

Calls

4 calls:

230.0ms	(pow (exp (sqrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))) (sqrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))
154.0ms	(exp (sqrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))
75.0ms	(sqrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
77.0ms	(sqrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))

series3.1s

Counts

4 → 12

Calls

4 calls:

2.2s	(pow (exp (sqrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))) (sqrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))
474.0ms	(exp (sqrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))
323.0ms	(sqrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
141.0ms	(sqrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))

simplify98.0ms

Algorithm

egg-herbie

Counts

230 → 230

Iterations

Useful iterations: 3 (71.0ms)

Iter	Nodes	Cost
0	284	2348
1	853	2218
2	2948	2188
3	5001	2176

prune871.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp (sqrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))) (sqrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))
0.0b	(exp (sqrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))
9.0b	(sqrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
9.0b	(sqrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))

rewrite549.0ms

Algorithm

rewrite-expression-head

Rules

343×	`*-un-lft-identity`
180×	`distribute-lft-out`
155×	`sqrt-prod`
137×	`times-frac`
79×	`add-sqr-sqrt`
73×	`add-cube-cbrt`
68×	`exp-prod`
45×	`distribute-rgt-neg-in`
35×	`pow-pow`
34×	`pow-unpow`
7×	`pow1`
5×	`div-inv` `add-log-exp`
4×	`add-exp-log` `expm1-log1p-u` `rem-sqrt-square` `add-cbrt-cube` `log1p-expm1-u`
3×	`unpow-prod-down`
2×	`sqrt-pow1` `pow1/2` `sqrt-div`
1×	`pow-to-exp` `pow-exp` `rem-exp-log` `sqr-pow`

Counts

4 → 218

Calls

4 calls:

228.0ms	(pow (exp (sqrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))) (sqrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))
155.0ms	(exp (sqrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))
75.0ms	(sqrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
77.0ms	(sqrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))

series3.1s

Counts

4 → 12

Calls

4 calls:

2.2s	(pow (exp (sqrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))) (sqrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))
583.0ms	(exp (sqrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))
140.0ms	(sqrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
137.0ms	(sqrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))

simplify93.0ms

Algorithm

egg-herbie

Counts

230 → 230

Iterations

Useful iterations: 3 (71.0ms)

Iter	Nodes	Cost
0	284	2346
1	854	2218
2	3151	2188
3	5001	2176

prune1.0s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes273.0ms

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	37	26
1	37	26

end0.0ms

sample979.0ms

Algorithm

intervals

Results

558.0ms	7998×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid