Details

analyze1.6s

Algorithm

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
24.9%	74.7%	0.4%	8
24.9%	74.7%	0.4%	9
24.9%	74.7%	0.4%	10
25.7%	73.9%	0.4%	11
25.7%	73.9%	0.4%	12
25.7%	73.9%	0.4%	13
25.7%	73.9%	0.4%	14

sample47.0ms

Algorithm

intervals

Results

22.0ms

256×

body

valid

simplify47.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5482	29

prune14.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

107×	`*-un-lft-identity`
48×	`times-frac`
40×	`distribute-lft-out`
34×	`add-sqr-sqrt` `add-cube-cbrt`
22×	`exp-prod`
9×	`associate-/l*`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-/r*` `distribute-lft-out--` `add-log-exp`
4×	`pow1` `associate-+r-`
3×	`flip3-+` `flip-+` `div-inv`
2×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `associate-/r/` `associate-/l/`
1×	`+-commutative` `exp-diff` `sum-log` `rem-exp-log`

Counts

4 → 118

Calls

4 calls:

12.0ms	(/ NaChar (+ 1.0 (exp (/ (+ Vef (+ Ev (- EAccept mu))) KbT))))
12.0ms	(+ 1.0 (exp (/ (+ Vef (+ EDonor (- mu Ec))) KbT)))
11.0ms	(exp (/ (+ Vef (+ EDonor (- mu Ec))) KbT))
10.0ms	(/ (+ Vef (+ EDonor (- mu Ec))) KbT)

series117.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(/ NaChar (+ 1.0 (exp (/ (+ Vef (+ Ev (- EAccept mu))) KbT))))
24.0ms	(+ 1.0 (exp (/ (+ Vef (+ EDonor (- mu Ec))) KbT)))
21.0ms	(exp (/ (+ Vef (+ EDonor (- mu Ec))) KbT))
15.0ms	(/ (+ Vef (+ EDonor (- mu Ec))) KbT)

simplify54.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	6125	1862

prune184.0ms

Filtered

87 candidates to 130 candidates (-49.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	125	5	130
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	126	5	131

Merged error: 0.0b

Counts

131 → 5

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

108×	`*-un-lft-identity`
48×	`times-frac`
40×	`distribute-lft-out`
35×	`add-sqr-sqrt` `add-cube-cbrt`
22×	`pow-unpow`
9×	`add-exp-log` `associate-/l*`
8×	`add-cbrt-cube`
7×	`associate-/r*` `distribute-lft-out--`
6×	`add-log-exp`
5×	`pow1`
4×	`associate-+r-`
3×	`unpow-prod-down` `flip3-+` `flip-+` `div-inv`
2×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `pow-exp` `clear-num` `associate-/r/` `associate-/l/`
1×	`+-commutative` `pow-to-exp` `e-exp-1` `pow-pow` `sum-log` `pow-sub` `sqr-pow`

Counts

4 → 125

Calls

4 calls:

12.0ms	(/ NaChar (+ 1.0 (exp (/ (+ Vef (+ Ev (- EAccept mu))) KbT))))
12.0ms	(pow E (/ (+ Vef (+ EDonor (- mu Ec))) KbT))
4.0ms	(+ 1.0 (pow E (/ (+ Vef (+ EDonor (- mu Ec))) KbT)))
10.0ms	(/ (+ Vef (+ EDonor (- mu Ec))) KbT)

series122.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(/ NaChar (+ 1.0 (exp (/ (+ Vef (+ Ev (- EAccept mu))) KbT))))
27.0ms	(pow E (/ (+ Vef (+ EDonor (- mu Ec))) KbT))
27.0ms	(+ 1.0 (pow E (/ (+ Vef (+ EDonor (- mu Ec))) KbT)))
15.0ms	(/ (+ Vef (+ EDonor (- mu Ec))) KbT)

simplify45.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5209	2010

prune159.0ms

Filtered

88 candidates to 137 candidates (-55.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	137	5	142

Merged error: 0.0b

Counts

142 → 5

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (/ (+ Vef (+ EDonor (- mu Ec))) KbT))
0.0b	(/ (+ Vef (+ EDonor (- mu Ec))) KbT)
0.0b	(/ (+ Vef (+ EDonor (- mu Ec))) KbT)
0.0b	(* (sqrt (exp (/ (+ Vef (+ EDonor (- mu Ec))) KbT))) (sqrt (exp (/ (+ Vef (+ EDonor (- mu Ec))) KbT))))

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

1013×	`*-un-lft-identity`
425×	`distribute-lft-out`
386×	`exp-prod` `times-frac`
372×	`sqrt-pow1`
188×	`add-sqr-sqrt`
176×	`add-cube-cbrt`
85×	`distribute-lft-out--`
69×	`pow-prod-down`
63×	`pow-prod-up`
61×	`pow-sqr`
19×	`pow1`
18×	`sqrt-prod`
14×	`associate-+r-`
12×	`associate-/l*`
10×	`add-exp-log` `add-cbrt-cube`
9×	`div-inv`
8×	`pow1/2` `swap-sqr`
7×	`div-sub`
6×	`associate-r` `associate-l` `associate-/r*`
5×	`exp-diff` `add-log-exp`
4×	`sqrt-div` `associate-/l/` `unswap-sqr`
2×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+`
1×	`pow2` `frac-times` `pow-plus` `sqrt-unprod` `associate-r/` `associate-l/` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `rem-exp-log`

Counts

4 → 349

Calls

4 calls:

11.0ms	(exp (/ (+ Vef (+ EDonor (- mu Ec))) KbT))
10.0ms	(/ (+ Vef (+ EDonor (- mu Ec))) KbT)
10.0ms	(/ (+ Vef (+ EDonor (- mu Ec))) KbT)
59.0ms	(* (sqrt (exp (/ (+ Vef (+ EDonor (- mu Ec))) KbT))) (sqrt (exp (/ (+ Vef (+ EDonor (- mu Ec))) KbT))))

series79.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(exp (/ (+ Vef (+ EDonor (- mu Ec))) KbT))
15.0ms	(/ (+ Vef (+ EDonor (- mu Ec))) KbT)
15.0ms	(/ (+ Vef (+ EDonor (- mu Ec))) KbT)
22.0ms	(* (sqrt (exp (/ (+ Vef (+ EDonor (- mu Ec))) KbT))) (sqrt (exp (/ (+ Vef (+ EDonor (- mu Ec))) KbT))))

simplify77.0ms

Algorithm

egg-herbie

Counts

361 → 361

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4949	3725
1	4949	3725

prune238.0ms

Filtered

124 candidates to 361 candidates (-191.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	359	2	361
Fresh	0	3	3
Picked	1	0	1
Done	1	0	1
Total	361	5	366

Merged error: 0.0b

Counts

366 → 5

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (/ (+ Vef (+ EDonor (- mu Ec))) KbT))
0.0b	(/ (+ Vef (+ EDonor (- mu Ec))) KbT)
0.0b	(* (sqrt (exp (/ (+ Vef (+ EDonor (- mu Ec))) KbT))) (sqrt (exp (* (+ Vef (+ EDonor (- mu Ec))) (/ 1 KbT)))))
0.2b	(* (+ Vef (+ EDonor (- mu Ec))) (/ 1 KbT))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

110×	`*-un-lft-identity`
52×	`add-sqr-sqrt`
47×	`times-frac`
40×	`distribute-lft-out`
37×	`add-cube-cbrt`
34×	`exp-prod`
20×	`sqrt-pow1`
19×	`associate-r`
17×	`add-exp-log` `add-log-exp`
13×	`add-cbrt-cube`
12×	`associate-l` `div-inv`
10×	`pow1` `sqrt-prod`
9×	`pow-prod-down`
8×	`distribute-lft-out--`
7×	`unswap-sqr`
6×	`associate-+r-` `exp-to-pow` `associate-/l*`
5×	`prod-exp` `sum-log`
3×	`flip3-+` `div-sub` `div-exp` `associate-l/` `associate-/r` `cbrt-unprod` `flip-+`
2×	`cbrt-undiv` `frac-times` `pow1/2` `exp-diff` `pow-sqr` `*-commutative` `pow-prod-up` `associate-/l/`
1×	`rec-exp` `frac-2neg` `sqrt-unprod` `sqrt-div` `diff-log` `1-exp` `associate-*r/` `clear-num` `un-div-inv` `rem-exp-log`

Counts

4 → 156

Calls

4 calls:

14.0ms	(exp (/ (+ Vef (+ EDonor (- mu Ec))) KbT))
10.0ms	(/ (+ Vef (+ EDonor (- mu Ec))) KbT)
27.0ms	(* (sqrt (exp (/ (+ Vef (+ EDonor (- mu Ec))) KbT))) (sqrt (exp (* (+ Vef (+ EDonor (- mu Ec))) (/ 1 KbT)))))
13.0ms	(* (+ Vef (+ EDonor (- mu Ec))) (/ 1 KbT))

series72.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(exp (/ (+ Vef (+ EDonor (- mu Ec))) KbT))
15.0ms	(/ (+ Vef (+ EDonor (- mu Ec))) KbT)
21.0ms	(* (sqrt (exp (/ (+ Vef (+ EDonor (- mu Ec))) KbT))) (sqrt (exp (* (+ Vef (+ EDonor (- mu Ec))) (/ 1 KbT)))))
15.0ms	(* (+ Vef (+ EDonor (- mu Ec))) (/ 1 KbT))

simplify48.0ms

Algorithm

egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5525	2009

prune200.0ms

Filtered

103 candidates to 168 candidates (-63.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	168	0	168
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	168	5	173

Merged error: 0.0b

Counts

173 → 5

regimes1.0s

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 (1.0ms)

Iter	Nodes	Cost
0	59	44
1	59	44

end0.0ms

sample1.2s

Algorithm

intervals

Results

748.0ms	7999×	body	80	valid
1.0ms	1×	body	5120	exit
0.0ms	1×	body	640	valid

Details

analyze1.6s

sample47.0ms

simplify47.0ms

prune14.0ms

localize22.0ms

rewrite50.0ms

series117.0ms

simplify54.0ms

prune184.0ms

localize23.0ms

rewrite43.0ms

series122.0ms

simplify45.0ms

prune159.0ms

localize27.0ms

rewrite133.0ms

series79.0ms

simplify77.0ms

prune238.0ms

localize31.0ms

rewrite71.0ms

series72.0ms

simplify48.0ms

prune200.0ms

regimes1.0s

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.2s

Profiling