Details

sample53.0ms

Algorithm

intervals

Results

28.0ms

256×

body

valid

simplify1.0s

Counts

1 → 1

Iterations

Useful iterations: 4 (233.0ms)

Iter	Nodes	Cost
0	27	750
1	49	710
2	120	710
3	362	710
4	1340	670
done	5001	670

prune24.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize63.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.3s

Algorithm

rewrite-expression-head

Rules

95×	`*-un-lft-identity`
39×	`times-frac`
36×	`add-sqr-sqrt`
28×	`add-cube-cbrt`
23×	`distribute-lft-out`
22×	`exp-prod`
21×	`distribute-lft-out--`
9×	`add-log-exp`
7×	`associate-/l*`
6×	`fma-def` `add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `difference-of-squares`
3×	`associate-/r*`
2×	`+-commutative` `sum-log` `flip3-+` `div-sub` `flip-+` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `associate-+r-` `frac-2neg` `flip3--` `exp-diff` `div-exp` `flip--` `rem-exp-log`

Counts

4 → 115

Calls

4 calls:

482.0ms	(+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)
374.0ms	(/ (- (+ (+ Ev Vef) EAccept) mu) KbT)
203.0ms	(+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)))
223.0ms	(exp (/ (+ mu (- EDonor (- Ec Vef))) KbT))

series343.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(+ (exp (/ (+ mu (- EDonor (- Ec Vef))) KbT)) 1.0)
61.0ms	(/ (- (+ (+ Ev Vef) EAccept) mu) KbT)
103.0ms	(+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)))
87.0ms	(exp (/ (+ mu (- EDonor (- Ec Vef))) KbT))

simplify1.5s

Counts

127 → 127

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	192	36116
1	444	34053
2	1394	33923
done	5000	33851

prune1.3s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize66.0ms

Local error

Found 4 expressions with local error:

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

rewrite889.0ms

Algorithm

rewrite-expression-head

Rules

118×	`*-un-lft-identity`
66×	`exp-prod`
54×	`times-frac`
35×	`add-sqr-sqrt` `add-cube-cbrt`
28×	`distribute-lft-out`
27×	`distribute-lft-out--`
9×	`add-log-exp`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u`
3×	`associate-+r-` `fma-def` `exp-diff` `div-sub` `div-inv` `rem-exp-log`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+`

Counts

4 → 116

Calls

4 calls:

288.0ms	(+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)))
201.0ms	(exp (/ (+ mu (- EDonor (- Ec Vef))) KbT))
174.0ms	(exp (/ (+ mu (- EDonor (- Ec Vef))) KbT))
217.0ms	(exp (/ (+ mu (- EDonor (- Ec Vef))) KbT))

series395.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)))
80.0ms	(exp (/ (+ mu (- EDonor (- Ec Vef))) KbT))
97.0ms	(exp (/ (+ mu (- EDonor (- Ec Vef))) KbT))
97.0ms	(exp (/ (+ mu (- EDonor (- Ec Vef))) KbT))

simplify1.8s

Counts

128 → 128

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	107	32711
1	226	29999
2	548	29974
3	1680	29818
done	5000	29578

prune1.4s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize120.0ms

Local error

Found 4 expressions with local error:

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

rewrite2.6s

Algorithm

rewrite-expression-head

Rules

137×	`*-un-lft-identity`
66×	`exp-prod`
54×	`add-sqr-sqrt` `times-frac`
42×	`add-cube-cbrt`
33×	`distribute-lft-out`
27×	`distribute-lft-out--`
26×	`sqrt-prod`
19×	`pow1`
12×	`sqrt-div`
11×	`swap-sqr`
8×	`sqrt-pow1` `pow1/2`
7×	`associate-r` `associate-l` `add-log-exp`
6×	`flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `unswap-sqr`
3×	`associate-+r-` `exp-diff` `div-sub` `pow-prod-down` `pow-sqr` `div-inv` `rem-exp-log`
2×	`associate-l/` `associate-r/`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 163

Calls

4 calls:

173.0ms	(exp (/ (+ mu (- EDonor (- Ec Vef))) KbT))
215.0ms	(exp (/ (+ mu (- EDonor (- Ec Vef))) KbT))
188.0ms	(exp (/ (+ mu (- EDonor (- Ec Vef))) KbT))
2.0s	(* (sqrt (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)))) (sqrt (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)))))

series339.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(exp (/ (+ mu (- EDonor (- Ec Vef))) KbT))
79.0ms	(exp (/ (+ mu (- EDonor (- Ec Vef))) KbT))
81.0ms	(exp (/ (+ mu (- EDonor (- Ec Vef))) KbT))
105.0ms	(* (sqrt (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)))) (sqrt (+ 1.0 (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)))))

simplify2.2s

Counts

175 → 175

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	160	57586
1	327	49159
2	1002	48994
done	5001	48858

prune2.3s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes996.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	27	805
1	32	805
done	32	805

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.9s

8000×

body

valid