Details

sample58.0ms

Algorithm

intervals

Results

28.0ms

256×

body

valid

simplify10.1s

Counts

1 → 1

Iterations

Useful iterations: 4 (192.0ms)

Iter	Nodes	Cost
0	27	31
1	49	30
2	120	30
3	279	30
4	509	29
5	880	29
6	1493	29
7	2244	29
8	3059	29
9	3642	29
10	3881	29
done	3881	29

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
0.0b	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
0.0b	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
0.1b	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))

rewrite3.8s

Algorithm

rewrite-expression-head

Rules

273×	`*-un-lft-identity`
147×	`times-frac`
113×	`add-sqr-sqrt`
89×	`exp-prod`
85×	`add-cube-cbrt`
84×	`distribute-lft-out--`
58×	`distribute-rgt-neg-in`
49×	`distribute-lft-neg-in`
40×	`distribute-lft-out`
21×	`associate-/l*`
14×	`difference-of-squares`
8×	`add-exp-log` `add-cbrt-cube`
7×	`neg-mul-1` `associate-/r*`
6×	`add-log-exp`
5×	`div-sub`
4×	`pow1` `exp-diff` `div-inv`
3×	`neg-sub0`
2×	`cbrt-undiv` `frac-2neg` `distribute-frac-neg` `div-exp` `clear-num` `associate-/r/` `rem-exp-log` `associate-/l/` `distribute-neg-frac`
1×	`exp-neg` `associate-+r-` `flip3--` `flip3-+` `unsub-neg` `flip--` `flip-+`

Counts

4 → 234

Calls

4 calls:

1.5s	(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
787.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
531.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
1.0s	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))

series505.0ms

Counts

4 → 12

Calls

4 calls:

220.0ms	(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
92.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
101.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
92.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))

simplify2.3s

Counts

246 → 246

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	309	3734
1	610	3518
2	1449	3388
3	4066	3366
done	5000	3366

prune1.7s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize83.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt KbT) (cbrt KbT))
0.6b	(cbrt KbT)
0.6b	(cbrt KbT)
0.6b	(cbrt KbT)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

23.0ms	(* (cbrt KbT) (cbrt KbT))
2.0ms	(cbrt KbT)
2.0ms	(cbrt KbT)
2.0ms	(cbrt KbT)

series1.3s

Counts

4 → 12

Calls

4 calls:

329.0ms	(* (cbrt KbT) (cbrt KbT))
335.0ms	(cbrt KbT)
317.0ms	(cbrt KbT)
279.0ms	(cbrt KbT)

simplify5.0s

Counts

85 → 85

Iterations

Useful iterations: done (5.0s)

Iter	Nodes	Cost
0	61	524
1	115	417
2	319	397
3	1092	379
4	4427	374
done	5001	364

prune747.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize70.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp (/ (- (+ EAccept (+ Ev Vef)) mu) KbT)) 3)
0.0b	(exp (/ (- (+ EAccept (+ Ev Vef)) mu) KbT))
0.1b	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
0.3b	(cbrt (pow (exp (/ (- (+ EAccept (+ Ev Vef)) mu) KbT)) 3))

rewrite1.7s

Algorithm

rewrite-expression-head

Rules

168×	`*-un-lft-identity`
108×	`exp-prod`
96×	`times-frac`
84×	`add-sqr-sqrt`
60×	`add-cube-cbrt`
54×	`distribute-lft-out--`
26×	`pow-pow`
21×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
18×	`distribute-lft-out`
12×	`cbrt-prod` `difference-of-squares`
6×	`unpow-prod-down` `cube-prod` `add-log-exp`
5×	`pow1` `add-cbrt-cube`
4×	`add-exp-log` `exp-diff` `div-sub`
3×	`neg-mul-1` `pow-unpow` `div-inv`
2×	`cube-div` `cube-mult` `unpow3` `rem-exp-log` `sqr-pow`
1×	`neg-sub0` `exp-neg` `pow-to-exp` `cbrt-div` `pow1/3` `distribute-frac-neg` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 173

Calls

4 calls:

385.0ms	(pow (exp (/ (- (+ EAccept (+ Ev Vef)) mu) KbT)) 3)
291.0ms	(exp (/ (- (+ EAccept (+ Ev Vef)) mu) KbT))
824.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
168.0ms	(cbrt (pow (exp (/ (- (+ EAccept (+ Ev Vef)) mu) KbT)) 3))

series430.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(pow (exp (/ (- (+ EAccept (+ Ev Vef)) mu) KbT)) 3)
98.0ms	(exp (/ (- (+ EAccept (+ Ev Vef)) mu) KbT))
106.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
80.0ms	(cbrt (pow (exp (/ (- (+ EAccept (+ Ev Vef)) mu) KbT)) 3))

simplify3.3s

Counts

185 → 185

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	252	2563
1	500	2281
2	1133	2149
3	4107	2137
done	5000	2137

prune1.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (/ (- (+ EAccept (+ Ev Vef)) mu) KbT))
0.1b	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
0.2b	(sqrt (pow (exp (/ (- (+ EAccept (+ Ev Vef)) mu) KbT)) 3))
0.2b	(sqrt (pow (exp (/ (- (+ EAccept (+ Ev Vef)) mu) KbT)) 3))

rewrite1.6s

Algorithm

rewrite-expression-head

Rules

130×	`*-un-lft-identity`
83×	`exp-prod`
75×	`times-frac`
73×	`add-sqr-sqrt`
49×	`add-cube-cbrt`
45×	`distribute-lft-out--`
24×	`sqrt-prod`
21×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
9×	`distribute-lft-out` `difference-of-squares`
8×	`unpow-prod-down` `rem-sqrt-square` `cube-prod`
6×	`add-log-exp`
4×	`pow1` `add-exp-log` `exp-diff` `div-sub` `add-cbrt-cube` `sqr-pow`
3×	`neg-mul-1`
2×	`cube-div` `cube-mult` `sqrt-pow1` `pow1/2` `sqrt-div` `unpow3` `div-inv` `rem-exp-log`
1×	`neg-sub0` `exp-neg` `distribute-frac-neg`

Counts

4 → 154

Calls

4 calls:

274.0ms	(exp (/ (- (+ EAccept (+ Ev Vef)) mu) KbT))
712.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
298.0ms	(sqrt (pow (exp (/ (- (+ EAccept (+ Ev Vef)) mu) KbT)) 3))
315.0ms	(sqrt (pow (exp (/ (- (+ EAccept (+ Ev Vef)) mu) KbT)) 3))

series557.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(exp (/ (- (+ EAccept (+ Ev Vef)) mu) KbT))
72.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
204.0ms	(sqrt (pow (exp (/ (- (+ EAccept (+ Ev Vef)) mu) KbT)) 3))
203.0ms	(sqrt (pow (exp (/ (- (+ EAccept (+ Ev Vef)) mu) KbT)) 3))

simplify1.7s

Counts

166 → 166

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	215	2355
1	402	2042
2	925	1991
3	2487	1983
done	5000	1955

prune915.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes374.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	49
1	38	49
done	38	49

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.2s	7999×	body	80	valid
0.0ms	1×	body	320	valid