Details

sample44.0ms

Algorithm

intervals

Results

22.0ms

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	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

localize23.0ms

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

series480.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
310.0ms	(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
53.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
59.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)

simplify60.0ms

Algorithm

egg-herbie

Counts

211 → 211

Iterations

Useful iterations: 2 (42.0ms)

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

prune633.0ms

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))

rewrite62.0ms

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:

14.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
9.0ms	(/ NdChar (+ 1.0 (pow (/ 1 E) (/ (- (- (- Ec Vef) EDonor) mu) KbT))))
17.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
13.0ms	(pow (/ 1 E) (/ (- (- (- Ec Vef) EDonor) mu) KbT))

series947.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
537.0ms	(/ NdChar (+ 1.0 (pow (/ 1 E) (/ (- (- (- Ec Vef) EDonor) mu) KbT))))
51.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
303.0ms	(pow (/ 1 E) (/ (- (- (- Ec Vef) EDonor) mu) KbT))

simplify71.0ms

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	720	1716
1	2658	1590
2	5001	1578

prune588.0ms

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

localize30.0ms

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))))

rewrite66.0ms

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:

15.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
14.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
12.0ms	(exp (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
12.0ms	(log (exp (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))

series252.0ms

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)))
54.0ms	(log (exp (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))

simplify54.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 2 (40.0ms)

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

prune564.0ms

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)))

rewrite77.0ms

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)
14.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
16.0ms	(sqrt (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))
20.0ms	(sqrt (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))

series298.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
55.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
91.0ms	(sqrt (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))
95.0ms	(sqrt (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))

simplify48.0ms

Algorithm

egg-herbie

Counts

218 → 218

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	247	1644
1	1031	1490
2	5002	1468

prune734.0ms

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

regimes290.0ms

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

sample1.0s

Algorithm

intervals

Results

590.0ms	7999×	body	80	valid
1.0ms	1×	body	10240	exit
0.0ms	1×	body	160	valid

Details

sample44.0ms

simplify46.0ms

prune5.0ms

localize23.0ms

rewrite74.0ms

series480.0ms

simplify60.0ms

prune633.0ms

localize26.0ms

rewrite62.0ms

series947.0ms

simplify71.0ms

prune588.0ms

localize30.0ms

rewrite66.0ms

series252.0ms

simplify54.0ms

prune564.0ms

localize26.0ms

rewrite77.0ms

series298.0ms

simplify48.0ms

prune734.0ms

regimes290.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.0s

Profiling