Details

sample98.0ms

Algorithm

intervals

Results

57.0ms

256×

body

valid

simplify12.3s

Counts

1 → 1

Iterations

Useful iterations: 4 (260.0ms)

Iter	Nodes	Cost
0	27	31
1	49	30
2	120	30
3	279	30
4	509	29
5	883	29
6	1498	29
7	2272	29
8	3126	29
9	3718	29
10	3966	29
11	3974	29
done	3974	29

prune32.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize61.0ms

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))

rewrite3.6s

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` `expm1-log1p-u` `exp-diff` `log1p-expm1-u` `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 → 242

Calls

4 calls:

1.4s	(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
805.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
476.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
940.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))

series486.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
98.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
127.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
84.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))

simplify2.5s

Counts

254 → 254

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	317	3836
1	624	3613
2	1506	3485
3	4222	3461
done	5000	3461

prune1.5s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize54.0ms

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)

rewrite31.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 81

Calls

4 calls:

21.0ms	(* (cbrt KbT) (cbrt KbT))
2.0ms	(cbrt KbT)
2.0ms	(cbrt KbT)
2.0ms	(cbrt KbT)

series1.7s

Counts

4 → 12

Calls

4 calls:

385.0ms	(* (cbrt KbT) (cbrt KbT))
266.0ms	(cbrt KbT)
337.0ms	(cbrt KbT)
720.0ms	(cbrt KbT)

simplify4.8s

Counts

93 → 93

Iterations

Useful iterations: done (4.8s)

Iter	Nodes	Cost
0	65	554
1	119	443
2	327	423
3	1104	405
4	4523	400
done	5001	390

prune548.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.4s

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` `expm1-log1p-u` `exp-diff` `div-sub` `log1p-expm1-u`
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 → 181

Calls

4 calls:

357.0ms	(pow (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)) 3)
285.0ms	(exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))
601.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
159.0ms	(cbrt (pow (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)) 3))

series314.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(pow (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)) 3)
66.0ms	(exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))
69.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
72.0ms	(cbrt (pow (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)) 3))

simplify2.3s

Counts

193 → 193

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	260	2663
1	510	2369
2	1152	2241
3	4143	2229
done	5000	2227

prune854.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)) 3)
0.0b	(exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))
0.1b	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
0.3b	(cbrt (expm1 (log1p (pow (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)) 3))))

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

166×	`*-un-lft-identity`
108×	`exp-prod`
96×	`times-frac`
82×	`add-sqr-sqrt`
58×	`add-cube-cbrt`
54×	`distribute-lft-out--`
26×	`pow-pow`
21×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
18×	`distribute-lft-out`
12×	`difference-of-squares`
6×	`add-log-exp`
5×	`pow1` `add-cbrt-cube`
4×	`add-exp-log` `expm1-log1p-u` `log1p-expm1-u`
3×	`cbrt-prod` `neg-mul-1` `unpow-prod-down` `pow-unpow` `exp-diff` `div-sub` `cube-prod` `div-inv`
2×	`rem-exp-log`
1×	`cube-div` `neg-sub0` `exp-neg` `cube-mult` `pow-to-exp` `pow1/3` `unpow3` `distribute-frac-neg` `pow-exp` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 170

Calls

4 calls:

343.0ms	(pow (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)) 3)
272.0ms	(exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))
582.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
1.0ms	(cbrt (expm1 (log1p (pow (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)) 3))))

series473.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(pow (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)) 3)
64.0ms	(exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))
68.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
237.0ms	(cbrt (expm1 (log1p (pow (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)) 3))))

simplify2.3s

Counts

182 → 182

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	256	2415
1	506	2141
2	1148	2041
3	4144	2033
done	5001	2031

prune929.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes362.0ms

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	35
1	38	35
done	38	35

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.3s	7999×	body	80	valid
0.0ms	1×	body	320	valid