Details

sample5.7s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 28.125%

Results

26.0ms

256×

body

valid

simplify44.0ms

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

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

193×	`*-un-lft-identity`
93×	`times-frac`
73×	`add-sqr-sqrt`
57×	`add-cube-cbrt`
48×	`distribute-lft-out--`
41×	`distribute-lft-out`
37×	`distribute-rgt-neg-in`
31×	`exp-prod`
28×	`distribute-lft-neg-in`
21×	`associate-/l*`
8×	`add-exp-log` `add-cbrt-cube` `difference-of-squares`
7×	`associate-/r*` `add-log-exp`
4×	`pow1` `neg-mul-1` `div-sub`
3×	`exp-diff` `div-inv`
2×	`cbrt-undiv` `neg-sub0` `frac-2neg` `flip3-+` `div-exp` `clear-num` `associate-/r/` `flip-+` `associate-/l/` `distribute-neg-frac`
1×	`+-commutative` `associate-+r-` `flip3--` `distribute-frac-neg` `unsub-neg` `sum-log` `flip--` `rem-exp-log`

Counts

4 → 178

Calls

4 calls:

14.0ms	(/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT))))
15.0ms	(/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)
13.0ms	(+ 1.0 (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)))
17.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT))

series127.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT))))
16.0ms	(/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)
25.0ms	(+ 1.0 (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)))
27.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT))

simplify56.0ms

Algorithm

egg-herbie

Counts

190 → 190

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	615	1680
1	1826	1608
2	5001	1607

prune181.0ms

Filtered

116 candidates to 190 candidates (-63.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	189	1	190
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	189	2	191

Merged error: 0.0b

Counts

191 → 2

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)))
0.0b	(+ 1.0 (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)))
0.0b	(exp (/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT))
0.2b	(* (sqrt (+ 1.0 (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)))) (sqrt (+ 1.0 (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)))))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

97×	`*-un-lft-identity`
44×	`distribute-lft-out`
37×	`add-sqr-sqrt`
31×	`exp-prod`
27×	`times-frac`
26×	`sqrt-prod`
25×	`add-cube-cbrt`
19×	`pow1`
12×	`sqrt-div`
11×	`swap-sqr`
9×	`distribute-rgt-neg-in` `add-log-exp`
8×	`sqrt-pow1` `flip3-+` `pow1/2` `flip-+`
7×	`associate-r` `associate-l`
6×	`add-exp-log` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`exp-diff` `div-sub` `pow-prod-down` `pow-sqr`
2×	`+-commutative` `associate-r/` `associate-l/` `sum-log`
1×	`pow2` `neg-sub0` `associate-+r-` `pow-plus` `sqrt-unprod` `unsub-neg` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `div-inv` `rem-exp-log`

Counts

4 → 128

Calls

4 calls:

13.0ms	(+ 1.0 (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)))
17.0ms	(+ 1.0 (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)))
13.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT))
30.0ms	(* (sqrt (+ 1.0 (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)))) (sqrt (+ 1.0 (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)))))

series100.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ 1.0 (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)))
27.0ms	(+ 1.0 (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)))
22.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (neg mu)) KbT))
26.0ms	(* (sqrt (+ 1.0 (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)))) (sqrt (+ 1.0 (exp (/ (neg (- (- (- Ec Vef) EDonor) mu)) KbT)))))

simplify45.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	302	1450
1	1122	1322
2	5001	1278

prune152.0ms

Filtered

72 candidates to 140 candidates (-94.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	140	2	142

Merged error: 0.0b

Counts

142 → 2

regimes881.0ms

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	35	17
1	35	17

end0.0ms

sample7.2s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 28.125%

Results

767.0ms	7997×	body	80	valid
2.0ms	3×	body	5120	exit
1.0ms	3×	body	640	valid

Details

sample5.7s

simplify44.0ms

prune7.0ms

localize23.0ms

rewrite68.0ms

series127.0ms

simplify56.0ms

prune181.0ms

localize28.0ms

rewrite78.0ms

series100.0ms

simplify45.0ms

prune152.0ms

regimes881.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample7.2s

Profiling