Details

sample43.0ms

Algorithm

intervals

Results

21.0ms

256×

body

valid

simplify46.0ms

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

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

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

256×	`*-un-lft-identity`
120×	`times-frac`
89×	`exp-prod`
88×	`distribute-lft-out`
80×	`add-sqr-sqrt`
68×	`add-cube-cbrt`
42×	`distribute-rgt-neg-in`
36×	`distribute-lft-out--`
21×	`distribute-lft-neg-in`
12×	`associate-/l*`
8×	`add-exp-log` `add-cbrt-cube`
7×	`div-sub` `associate-/r*`
6×	`add-log-exp` `difference-of-squares`
4×	`pow1` `expm1-log1p-u` `exp-diff` `log1p-expm1-u` `div-inv`
3×	`neg-sub0` `neg-mul-1`
2×	`cbrt-undiv` `associate-+r-` `frac-2neg` `flip3-+` `div-exp` `unsub-neg` `clear-num` `associate-/r/` `flip-+` `rem-exp-log` `associate-/l/`
1×	`exp-neg` `distribute-frac-neg`

Counts

4 → 207

Calls

4 calls:

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

series301.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
126.0ms	(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
59.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
56.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)

simplify62.0ms

Algorithm

egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	587	1684
1	2003	1577
2	5001	1553

prune719.0ms

Filtered

219 candidates to 126 candidates (57.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	216	3	219
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	217	3	220

Merged error: 0b

Counts

220 → 3

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
0.0b	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
0.0b	(expm1 (log1p (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
0.5b	(log1p (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

172×	`*-un-lft-identity`
81×	`times-frac`
58×	`add-sqr-sqrt` `exp-prod`
48×	`distribute-lft-out`
46×	`add-cube-cbrt`
36×	`distribute-lft-out--`
33×	`distribute-rgt-neg-in`
21×	`distribute-lft-neg-in`
9×	`associate-/l*`
6×	`add-exp-log` `add-cbrt-cube` `difference-of-squares`
5×	`expm1-log1p-u` `add-log-exp`
4×	`pow1` `div-sub` `log1p-expm1-u`
3×	`neg-mul-1` `associate-/r*`
2×	`neg-sub0` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `exp-neg` `associate-+r-` `log1p-udef` `expm1-log1p` `frac-2neg` `flip3-+` `exp-diff` `log1p-expm1` `distribute-frac-neg` `div-exp` `unsub-neg` `clear-num` `flip-+` `rem-exp-log` `expm1-udef`

Counts

4 → 150

Calls

4 calls:

20.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
14.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
1.0ms	(expm1 (log1p (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
1.0ms	(log1p (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))

series305.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
55.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
89.0ms	(expm1 (log1p (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
107.0ms	(log1p (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))

simplify49.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	425	1177
1	1488	1079
2	5001	1056

prune604.0ms

Filtered

162 candidates to 96 candidates (59.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	162	0	162
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	162	3	165

Merged error: 0b

Counts

165 → 3

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
0.0b	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
0.0b	(expm1 (log1p (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))
0.7b	(log1p (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

172×	`*-un-lft-identity`
81×	`times-frac`
58×	`add-sqr-sqrt` `exp-prod`
48×	`distribute-lft-out`
46×	`add-cube-cbrt`
36×	`distribute-lft-out--`
33×	`distribute-rgt-neg-in`
21×	`distribute-lft-neg-in`
9×	`associate-/l*`
6×	`add-exp-log` `add-cbrt-cube` `difference-of-squares`
5×	`expm1-log1p-u` `add-log-exp`
4×	`pow1` `div-sub` `log1p-expm1-u`
3×	`neg-mul-1` `associate-/r*`
2×	`neg-sub0` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `exp-neg` `associate-+r-` `log1p-udef` `expm1-log1p` `frac-2neg` `flip3-+` `exp-diff` `log1p-expm1` `distribute-frac-neg` `div-exp` `unsub-neg` `clear-num` `flip-+` `rem-exp-log` `expm1-udef`

Counts

4 → 150

Calls

4 calls:

19.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
15.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
1.0ms	(expm1 (log1p (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))
1.0ms	(log1p (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))

series313.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
57.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
90.0ms	(expm1 (log1p (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))
112.0ms	(log1p (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))

simplify49.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	440	1202
1	1536	1092
2	5002	1065

prune616.0ms

Filtered

162 candidates to 98 candidates (60.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	162	0	162
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	162	3	165

Merged error: 0b

Counts

165 → 3

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

175×	`*-un-lft-identity`
81×	`times-frac`
64×	`exp-prod`
61×	`add-sqr-sqrt`
49×	`add-cube-cbrt`
48×	`distribute-lft-out`
36×	`distribute-lft-out--`
33×	`distribute-rgt-neg-in`
21×	`distribute-lft-neg-in`
9×	`associate-/l*`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp` `difference-of-squares`
5×	`pow1`
4×	`expm1-log1p-u` `div-sub` `log-pow` `log1p-expm1-u`
3×	`neg-mul-1` `log-prod` `associate-/r*`
2×	`neg-sub0` `div-inv` `rem-exp-log` `associate-/l/`
1×	`cbrt-undiv` `exp-neg` `associate-+r-` `frac-2neg` `flip3-+` `exp-diff` `distribute-frac-neg` `div-exp` `rem-log-exp` `unsub-neg` `clear-num` `flip-+`

Counts

4 → 158

Calls

4 calls:

16.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
14.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
12.0ms	(exp (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
13.0ms	(log (exp (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))

series260.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
57.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
86.0ms	(exp (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
63.0ms	(log (exp (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))

simplify49.0ms

Algorithm

egg-herbie

Counts

170 → 170

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	436	1264
1	1508	1160
2	5001	1137

prune636.0ms

Filtered

170 candidates to 103 candidates (60.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	170	0	170
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	170	3	173

Merged error: 0b

Counts

173 → 3

regimes311.0ms

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	37	19
1	37	19

end0.0ms

sample1.1s

Algorithm

intervals

Results

693.0ms	7999×	body	80	valid
1.0ms	1×	body	5120	exit
0.0ms	1×	body	160	valid