Details

sample40.0ms

Algorithm

intervals

Results

19.0ms

256×

body

valid

simplify6.0s

Counts

1 → 1

Iterations

Useful iterations: 4 (94.0ms)

Iter	Nodes	Cost
0	27	31
1	49	30
2	117	30
3	275	30
4	493	29
5	907	29
6	1532	29
7	2568	29
8	3445	29
9	4355	29
10	4704	29
done	4704	29

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite920.0ms

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` `expm1-log1p-u` `exp-diff` `log1p-expm1-u` `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 → 265

Calls

4 calls:

263.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
147.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
322.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
173.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))

series227.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
54.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
55.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
60.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))

simplify651.0ms

Counts

277 → 277

Iterations

Useful iterations: done (643.0ms)

Iter	Nodes	Cost
0	273	3848
1	545	3579
2	1556	3463
done	5001	3455

prune1.0s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- (- (- (- Ec Vef) EDonor) mu)))
0.6b	(cbrt KbT)
0.6b	(cbrt KbT)
0.6b	(cbrt KbT)

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
27×	`cbrt-prod`
14×	`add-sqr-sqrt`
12×	`distribute-lft-out--`
10×	`add-cube-cbrt`
7×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-div` `distribute-neg-frac` `difference-of-squares`
1×	`neg-mul-1` `flip3--` `flip--`

Counts

4 → 69

Calls

4 calls:

77.0ms	(cbrt (- (- (- (- Ec Vef) EDonor) mu)))
0.0ms	(cbrt KbT)
0.0ms	(cbrt KbT)
1.0ms	(cbrt KbT)

series769.0ms

Counts

4 → 12

Calls

4 calls:

235.0ms	(cbrt (- (- (- (- Ec Vef) EDonor) mu)))
187.0ms	(cbrt KbT)
173.0ms	(cbrt KbT)
174.0ms	(cbrt KbT)

simplify726.0ms

Counts

81 → 81

Iterations

Useful iterations: done (724.0ms)

Iter	Nodes	Cost
0	107	732
1	201	704
2	463	658
3	1379	640
done	5001	617

prune561.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
0.2b	(cbrt (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
0.2b	(cbrt (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
0.2b	(cbrt (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity`
36×	`distribute-lft-out`
31×	`exp-prod`
27×	`times-frac`
20×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`cbrt-prod` `distribute-rgt-neg-in`
6×	`cbrt-div` `exp-diff` `div-sub`
5×	`add-log-exp`
4×	`pow1` `add-exp-log` `neg-sub0` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`exp-neg` `pow1/3` `distribute-frac-neg`
1×	`associate-+r-` `unsub-neg` `div-inv` `rem-exp-log`

Counts

4 → 89

Calls

4 calls:

164.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
302.0ms	(cbrt (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
305.0ms	(cbrt (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
309.0ms	(cbrt (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))

series315.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
87.0ms	(cbrt (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
86.0ms	(cbrt (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
87.0ms	(cbrt (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))

simplify2.5s

Counts

101 → 101

Iterations

Useful iterations: 5 (2.0s)

Iter	Nodes	Cost
0	106	1440
1	191	1348
2	465	1251
3	1202	1230
4	2555	1164
5	4739	1140
done	5000	1140

prune580.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
0.2b	(cbrt (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
0.2b	(cbrt (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
0.2b	(cbrt (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

89×	`*-un-lft-identity`
58×	`exp-prod`
54×	`times-frac`
47×	`add-sqr-sqrt`
36×	`distribute-lft-out--`
35×	`add-cube-cbrt`
21×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
9×	`cbrt-prod`
6×	`cbrt-div` `difference-of-squares`
5×	`add-log-exp`
4×	`pow1` `add-exp-log` `neg-sub0` `exp-neg` `expm1-log1p-u` `exp-diff` `div-sub` `distribute-frac-neg` `add-cbrt-cube` `log1p-expm1-u`
3×	`neg-mul-1` `pow1/3`
1×	`div-inv` `rem-exp-log`

Counts

4 → 115

Calls

4 calls:

314.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
304.0ms	(cbrt (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
306.0ms	(cbrt (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
308.0ms	(cbrt (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))

series321.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
87.0ms	(cbrt (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
88.0ms	(cbrt (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
90.0ms	(cbrt (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))

simplify1.4s

Counts

127 → 127

Iterations

Useful iterations: 4 (897.0ms)

Iter	Nodes	Cost
0	146	1786
1	262	1690
2	568	1591
3	1350	1570
4	3017	1457
done	5000	1457

prune787.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

regimes282.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	70
1	39	70
done	39	70

end0.0ms

sample999.0ms

Algorithm

intervals

Results

612.0ms	7998×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid