Details

sample29.6s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 40.155029%

Results

23.0ms

256×

body

valid

simplify42.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	49	17
1	120	17
2	311	17
3	677	17
4	1422	17
5	2726	17
6	5001	17

prune7.0ms

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

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite71.0ms

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` `exp-diff` `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 → 257

Calls

4 calls:

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

series74.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT))
21.0ms	(exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT))
15.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT)
16.0ms	(/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)

simplify62.0ms

Algorithm

egg-herbie

Counts

269 → 269

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	533	1969
1	1922	1874
2	5002	1863

prune242.0ms

Filtered

149 candidates to 269 candidates (-80.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	267	2	269
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	268	2	270

Merged error: 0.0b

Counts

270 → 2

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

243×	`*-un-lft-identity`
96×	`times-frac`
84×	`distribute-lft-out`
68×	`add-sqr-sqrt`
56×	`exp-prod`
54×	`add-cube-cbrt`
42×	`distribute-lft-out--`
21×	`distribute-rgt-neg-in`
16×	`associate-/l*`
8×	`add-exp-log` `div-sub` `add-cbrt-cube`
7×	`difference-of-squares`
6×	`associate-/r*` `add-log-exp`
4×	`pow1` `exp-diff` `div-inv` `associate-/l/`
2×	`cbrt-undiv` `neg-sub0` `associate-+r-` `frac-2neg` `div-exp` `unsub-neg` `clear-num` `rem-exp-log`
1×	`flip3--` `flip3-+` `flip--` `flip-+`

Counts

4 → 178

Calls

4 calls:

13.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT))
11.0ms	(exp (/ (- (- (- Ec Vef) EDonor) mu) KbT))
13.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT)
15.0ms	(/ (- (- (- Ec Vef) EDonor) mu) KbT)

series78.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT))
22.0ms	(exp (/ (- (- (- Ec Vef) EDonor) mu) KbT))
18.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT)
16.0ms	(/ (- (- (- Ec Vef) EDonor) mu) KbT)

simplify46.0ms

Algorithm

egg-herbie

Counts

190 → 190

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	410	1279
1	1567	1182
2	5001	1173

prune176.0ms

Filtered

105 candidates to 190 candidates (-81.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	189	1	190
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	191	1	192

Merged error: 0.0b

Counts

192 → 1

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT)
0.0b	(pow (exp (/ (- (- (- Ec Vef) EDonor) mu) KbT)) 3)
0.0b	(/ (- (- (- Ec Vef) EDonor) mu) KbT)
0.0b	(cbrt (pow (exp (/ (- (- (- Ec Vef) EDonor) mu) KbT)) 3))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

182×	`*-un-lft-identity`
69×	`times-frac`
61×	`add-sqr-sqrt`
48×	`distribute-lft-out`
47×	`add-cube-cbrt`
42×	`distribute-lft-out--`
26×	`pow-pow`
25×	`exp-prod`
16×	`associate-/l*`
12×	`cbrt-prod` `distribute-rgt-neg-in`
9×	`add-cbrt-cube`
8×	`add-exp-log`
7×	`difference-of-squares`
6×	`unpow-prod-down` `div-sub` `cube-prod` `associate-/r*`
5×	`pow1`
4×	`associate-/l/` `add-log-exp`
3×	`pow-unpow` `div-inv`
2×	`cbrt-undiv` `cube-div` `cube-mult` `frac-2neg` `exp-diff` `unpow3` `div-exp` `clear-num` `sqr-pow`
1×	`neg-sub0` `pow-to-exp` `associate-+r-` `cbrt-div` `flip3--` `flip3-+` `pow1/3` `unsub-neg` `pow-exp` `flip--` `rem-cbrt-cube` `flip-+` `rem-cube-cbrt`

Counts

4 → 173

Calls

4 calls:

13.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT)
13.0ms	(pow (exp (/ (- (- (- Ec Vef) EDonor) mu) KbT)) 3)
12.0ms	(/ (- (- (- Ec Vef) EDonor) mu) KbT)
10.0ms	(cbrt (pow (exp (/ (- (- (- Ec Vef) EDonor) mu) KbT)) 3))

series99.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT)
46.0ms	(pow (exp (/ (- (- (- Ec Vef) EDonor) mu) KbT)) 3)
16.0ms	(/ (- (- (- Ec Vef) EDonor) mu) KbT)
22.0ms	(cbrt (pow (exp (/ (- (- (- Ec Vef) EDonor) mu) KbT)) 3))

simplify62.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	519	1406
1	2245	1304
2	5002	1290

prune214.0ms

Filtered

104 candidates to 185 candidates (-77.9%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	185	0	185
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	185	1	186

Merged error: 0.0b

Counts

186 → 1

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	19
1	39	19

end0.0ms

sample31.2s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 40.155029%

Results

691.0ms	8000×	body	80	valid
2.0ms	3×	body	5120	exit

Details

sample29.6s

simplify42.0ms

prune7.0ms

localize26.0ms

rewrite71.0ms

series74.0ms

simplify62.0ms

prune242.0ms

localize22.0ms

rewrite60.0ms

series78.0ms

simplify46.0ms

prune176.0ms

localize28.0ms

rewrite60.0ms

series99.0ms

simplify62.0ms

prune214.0ms

simplify1.0ms

end0.0ms

sample31.2s

Profiling