Details

sample50.0ms

Algorithm

intervals

Results

26.0ms

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	1422	17
5	2726	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

localize24.0ms

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)

rewrite74.0ms

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` `exp-diff` `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 → 199

Calls

4 calls:

14.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
16.0ms	(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
19.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
14.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)

series309.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
135.0ms	(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
55.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
59.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)

simplify58.0ms

Algorithm

egg-herbie

Counts

211 → 211

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	573	1628
1	1952	1521
2	5003	1500

prune685.0ms

Filtered

211 candidates to 118 candidates (55.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	208	3	211
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	209	3	212

Merged error: 0b

Counts

212 → 3

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
0.0b	(/ NdChar (+ 1.0 (pow (/ 1 E) (/ (- (- (- Ec Vef) EDonor) mu) KbT))))
0.0b	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
0.0b	(pow (/ 1 E) (/ (- (- (- Ec Vef) EDonor) mu) KbT))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

219×	`*-un-lft-identity`
96×	`times-frac`
88×	`distribute-lft-out`
64×	`add-sqr-sqrt`
58×	`add-cube-cbrt`
31×	`exp-prod`
25×	`pow-unpow`
21×	`distribute-rgt-neg-in`
18×	`distribute-lft-out--`
14×	`add-exp-log`
13×	`unpow-prod-down`
12×	`associate-/l*`
8×	`add-cbrt-cube`
7×	`div-sub` `pow-exp` `associate-/r*`
6×	`pow1` `div-exp`
5×	`div-inv` `add-log-exp`
3×	`e-exp-1` `pow-pow` `exp-diff` `difference-of-squares`
2×	`cbrt-undiv` `neg-sub0` `associate-+r-` `rec-exp` `frac-2neg` `flip3-+` `1-exp` `unsub-neg` `clear-num` `associate-/r/` `flip-+` `associate-/l/`
1×	`pow-to-exp` `pow-flip` `rem-exp-log` `inv-pow` `pow-sub` `sqr-pow`

Counts

4 → 189

Calls

4 calls:

18.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
9.0ms	(/ NdChar (+ 1.0 (pow (/ 1 E) (/ (- (- (- Ec Vef) EDonor) mu) KbT))))
14.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
14.0ms	(pow (/ 1 E) (/ (- (- (- Ec Vef) EDonor) mu) KbT))

series1.0s

Counts

4 → 12

Calls

4 calls:

64.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
567.0ms	(/ NdChar (+ 1.0 (pow (/ 1 E) (/ (- (- (- Ec Vef) EDonor) mu) KbT))))
58.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
325.0ms	(pow (/ 1 E) (/ (- (- (- Ec Vef) EDonor) mu) KbT))

simplify70.0ms

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	720	1716
1	2662	1592
2	5001	1580

prune636.0ms

Filtered

201 candidates to 109 candidates (54.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	201	0	201
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	201	3	204

Merged error: 0b

Counts

204 → 3

localize33.0ms

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×	`div-sub` `log-pow`
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 → 150

Calls

4 calls:

16.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
15.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
13.0ms	(exp (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
13.0ms	(log (exp (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))

series264.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
58.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
87.0ms	(exp (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
64.0ms	(log (exp (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))

simplify45.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	426	1208
1	1485	1104
2	5001	1086

prune611.0ms

Filtered

162 candidates to 96 candidates (59.3%)

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

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
0.0b	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
0.2b	(sqrt (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))
0.2b	(sqrt (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

312×	`*-un-lft-identity`
168×	`distribute-lft-out`
108×	`times-frac`
64×	`sqrt-pow1`
62×	`add-sqr-sqrt` `exp-prod`
60×	`add-cube-cbrt`
42×	`distribute-rgt-neg-in`
18×	`associate-/l*`
12×	`div-sub`
8×	`add-exp-log` `add-cbrt-cube`
6×	`pow1` `exp-diff` `sqrt-div` `associate-/r*` `sqrt-prod`
4×	`neg-sub0` `associate-+r-` `unsub-neg` `div-inv` `associate-/l/` `add-log-exp`
2×	`cbrt-undiv` `rem-sqrt-square` `frac-2neg` `flip3-+` `pow1/2` `div-exp` `clear-num` `flip-+`

Counts

4 → 206

Calls

4 calls:

15.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
15.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
21.0ms	(sqrt (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))
17.0ms	(sqrt (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))

series301.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
56.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
95.0ms	(sqrt (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))
99.0ms	(sqrt (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))

simplify50.0ms

Algorithm

egg-herbie

Counts

218 → 218

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	247	1646
1	1007	1492
2	5002	1470

prune747.0ms

Filtered

218 candidates to 110 candidates (50.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	218	0	218
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	218	3	221

Merged error: 0b

Counts

221 → 3

regimes303.0ms

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	38	17
1	38	17

end0.0ms

sample1.1s

Algorithm

intervals

Results

705.0ms	7999×	body	80	valid
1.0ms	1×	body	5120	exit
0.0ms	1×	body	160	valid