Details

sample95.0ms

Algorithm

intervals

Results

43.0ms

256×

body

valid

simplify12.4s

Counts

1 → 1

Iterations

Useful iterations: 4 (196.0ms)

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

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize65.0ms

Local error

Found 4 expressions with local error:

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

rewrite2.5s

Algorithm

rewrite-expression-head

Rules

263×	`*-un-lft-identity`
108×	`times-frac`
85×	`distribute-lft-out`
79×	`add-sqr-sqrt`
63×	`add-cube-cbrt`
49×	`distribute-rgt-neg-in`
48×	`distribute-lft-out--`
31×	`exp-prod`
28×	`distribute-lft-neg-in`
27×	`associate-/l*`
8×	`add-exp-log` `add-cbrt-cube` `difference-of-squares`
7×	`div-sub` `add-log-exp`
6×	`associate-/r*`
4×	`pow1` `expm1-log1p-u` `neg-mul-1` `log1p-expm1-u` `associate-/l/`
3×	`neg-sub0` `fma-def` `exp-diff` `div-inv`
2×	`cbrt-undiv` `associate-+r-` `frac-2neg` `flip3-+` `div-exp` `unsub-neg` `clear-num` `flip-+` `distribute-neg-frac`
1×	`+-commutative` `flip3--` `distribute-frac-neg` `sum-log` `flip--` `rem-exp-log`

Counts

4 → 212

Calls

4 calls:

531.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
709.0ms	(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
766.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
441.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)

series432.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
113.0ms	(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
104.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
113.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)

simplify1.1s

Counts

224 → 224

Iterations

Useful iterations: 2 (285.0ms)

Iter	Nodes	Cost
0	255	3336
1	562	3112
2	1631	2982
done	5001	2982

prune1.4s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)) (cbrt (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)))
21.5b	(cbrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
21.5b	(cbrt (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))
21.5b	(cbrt (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

507×	`*-un-lft-identity`
265×	`cbrt-prod`
231×	`times-frac`
171×	`add-sqr-sqrt`
144×	`distribute-lft-out`
111×	`add-cube-cbrt`
108×	`distribute-lft-out--`
64×	`swap-sqr`
28×	`associate-r` `associate-l`
18×	`difference-of-squares`
11×	`pow1`
9×	`distribute-rgt-neg-in` `pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 266

Calls

4 calls:

824.0ms	(* (cbrt (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)) (cbrt (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)))
107.0ms	(cbrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
109.0ms	(cbrt (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))
99.0ms	(cbrt (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))

series1.9s

Counts

4 → 12

Calls

4 calls:

661.0ms	(* (cbrt (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)) (cbrt (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)))
389.0ms	(cbrt (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
435.0ms	(cbrt (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))
410.0ms	(cbrt (/ (- (+ (+ Ev Vef) EAccept) mu) KbT))

simplify2.0s

Counts

278 → 278

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	271	6972
1	479	6547
2	1163	6377
3	2593	5956
done	5000	5892

prune2.1s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
0.0b	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
0.0b	(/ (- (+ (+ Ev Vef) EAccept) mu) KbT)
0.5b	(log1p (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)))

rewrite1.7s

Algorithm

rewrite-expression-head

Rules

158×	`*-un-lft-identity`
75×	`times-frac`
72×	`add-sqr-sqrt`
60×	`distribute-lft-out--`
48×	`add-cube-cbrt`
28×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
25×	`associate-/l*`
13×	`distribute-lft-out`
12×	`difference-of-squares`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/r*` `add-log-exp`
5×	`expm1-log1p-u`
4×	`pow1` `neg-mul-1` `log1p-expm1-u` `associate-/l/`
3×	`fma-def`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `div-sub` `div-exp` `clear-num` `flip--` `div-inv` `distribute-neg-frac`
1×	`+-commutative` `neg-sub0` `log1p-udef` `flip3-+` `log1p-expm1` `distribute-frac-neg` `sum-log` `flip-+`

Counts

4 → 169

Calls

4 calls:

587.0ms	(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
706.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
426.0ms	(/ (- (+ (+ Ev Vef) EAccept) mu) KbT)
1.0ms	(log1p (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)))

series431.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
87.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
81.0ms	(/ (- (+ (+ Ev Vef) EAccept) mu) KbT)
163.0ms	(log1p (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)))

simplify929.0ms

Counts

181 → 181

Iterations

Useful iterations: done (919.0ms)

Iter	Nodes	Cost
0	254	2887
1	569	2784
2	1505	2651
done	5000	2635

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize71.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- (+ (+ Ev Vef) EAccept) mu) KbT)
0.5b	(log1p (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)))
1.0b	(/ (+ (pow 1.0 3) (pow (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)) 3)) (fma 1.0 1.0 (* (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)) (- (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)) 1.0))))
3.5b	(- (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)) 1.0)

rewrite7.0s

Algorithm

rewrite-expression-head

Rules

115×	`*-un-lft-identity`
48×	`times-frac`
47×	`add-sqr-sqrt`
37×	`add-cube-cbrt`
32×	`distribute-lft-out`
16×	`unpow-prod-down` `cube-prod` `associate-/l*`
13×	`distribute-lft-out--`
9×	`prod-diff`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/r*` `add-log-exp`
5×	`expm1-log1p-u` `difference-of-squares`
4×	`pow1` `sum-cubes` `log1p-expm1-u` `associate-/l/`
3×	`fma-neg`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `div-inv`
1×	`sub-neg` `log1p-udef` `flip3-+` `diff-log` `div-sub` `log1p-expm1` `flip-+`

Counts

4 → 142

Calls

4 calls:

377.0ms	(/ (- (+ (+ Ev Vef) EAccept) mu) KbT)
0.0ms	(log1p (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)))
3.6s	(/ (+ (pow 1.0 3) (pow (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)) 3)) (fma 1.0 1.0 (* (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)) (- (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)) 1.0))))
3.1s	(- (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)) 1.0)

series1.5s

Counts

4 → 12

Calls

4 calls:

65.0ms	(/ (- (+ (+ Ev Vef) EAccept) mu) KbT)
161.0ms	(log1p (exp (/ (- (+ (+ Ev Vef) EAccept) mu) KbT)))
1.1s	(/ (+ (pow 1.0 3) (pow (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)) 3)) (fma 1.0 1.0 (* (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)) (- (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)) 1.0))))
100.0ms	(- (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)) 1.0)

simplify1.0s

Counts

154 → 154

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	260	5720
1	582	5497
2	1722	5123
done	5000	4777

prune1.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes313.0ms

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	33	54
1	41	54
done	41	54

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.4s	8000×	body	80	valid
2.0ms	2×	body	10240	exit