Details

sample42.0ms

Algorithm

intervals

Results

17.0ms

256×

body

valid

simplify45.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	49	17
1	120	17
2	311	17
3	677	17
4	1425	17
5	2733	17
6	5001	17
done	5001	17

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.8s

Algorithm

rewrite-expression-head

Rules

191×	`*-un-lft-identity`
92×	`distribute-lft-out`
78×	`times-frac`
49×	`add-sqr-sqrt` `add-cube-cbrt`
31×	`exp-prod`
21×	`distribute-rgt-neg-in`
15×	`associate-/l*`
11×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube`
6×	`div-sub`
5×	`add-log-exp`
4×	`pow1` `expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `div-inv`
3×	`cbrt-undiv` `frac-2neg` `flip3-+` `exp-diff` `div-exp` `clear-num` `flip-+`
2×	`neg-sub0` `associate-+r-` `unsub-neg` `associate-/l/`
1×	`rem-exp-log`

Counts

4 → 172

Calls

4 calls:

410.0ms	(/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))
266.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
843.0ms	(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
300.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))

series422.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))
61.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
143.0ms	(/ NdChar (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
70.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))

simplify63.0ms

Counts

184 → 184

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	582	1690
1	2087	1570
2	5002	1556
done	5002	1556

prune697.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))
0.0b	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
0.0b	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
0.1b	(/ 1 (/ (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))) NdChar))

rewrite1.8s

Algorithm

rewrite-expression-head

Rules

247×	`*-un-lft-identity`
162×	`times-frac`
100×	`distribute-lft-out`
89×	`add-sqr-sqrt` `add-cube-cbrt`
31×	`exp-prod`
23×	`associate-/r*`
21×	`distribute-rgt-neg-in`
19×	`add-exp-log`
15×	`associate-/l*`
13×	`add-cbrt-cube`
9×	`div-exp`
8×	`div-inv`
6×	`div-sub`
5×	`pow1` `cbrt-undiv` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`frac-2neg` `exp-diff` `clear-num` `associate-/r/`
2×	`neg-sub0` `associate-+r-` `rec-exp` `flip3-+` `1-exp` `unsub-neg` `flip-+` `associate-/l/`
1×	`pow-flip` `rem-exp-log` `inv-pow`

Counts

4 → 227

Calls

4 calls:

388.0ms	(/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))
264.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
293.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
848.0ms	(/ 1 (/ (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))) NdChar))

series442.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(/ NaChar (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))
56.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
67.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
171.0ms	(/ 1 (/ (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))) NdChar))

simplify74.0ms

Counts

239 → 239

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	778	2650
1	3123	2440
2	5002	2332
done	5002	2332

prune768.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
0.0b	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
0.0b	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
0.1b	(/ (/ 1 (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))) (/ 1 NdChar))

rewrite2.7s

Algorithm

rewrite-expression-head

Rules

639×	`times-frac`
503×	`*-un-lft-identity`
285×	`add-sqr-sqrt` `add-cube-cbrt`
130×	`distribute-lft-out`
50×	`add-exp-log`
37×	`div-inv`
35×	`div-exp`
31×	`exp-prod` `associate-/r/`
30×	`associate-/l*`
21×	`distribute-rgt-neg-in`
20×	`associate-/r*` `add-cbrt-cube`
16×	`flip3-+` `flip-+`
10×	`cbrt-undiv`
9×	`rec-exp` `1-exp`
6×	`div-sub`
5×	`pow1` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`frac-2neg` `exp-diff` `clear-num` `associate-/l/`
2×	`neg-sub0` `associate-+r-` `unsub-neg`
1×	`pow-flip` `rem-exp-log` `inv-pow`

Counts

4 → 440

Calls

4 calls:

832.0ms	(/ 1 (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
261.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
288.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
1.3s	(/ (/ 1 (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))) (/ 1 NdChar))

series395.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(/ 1 (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
59.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
62.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
164.0ms	(/ (/ 1 (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))) (/ 1 NdChar))

simplify92.0ms

Counts

452 → 452

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	1708	7713
1	5001	7060
done	5001	7060

prune1.3s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ NaChar (* (cbrt (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))) (cbrt (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))))
0.2b	(cbrt (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))
0.2b	(cbrt (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))
0.2b	(cbrt (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))

rewrite986.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
15×	`*-un-lft-identity`
12×	`cbrt-prod`
9×	`add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `flip-+`
8×	`associate-/r/`
7×	`add-cbrt-cube`
4×	`pow1` `expm1-log1p-u` `frac-times` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `pow1/3` `distribute-lft-out` `associate-/l*`
2×	`cbrt-undiv` `associate-r/` `div-exp` `associate-l/`
1×	`frac-2neg` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `div-inv`

Counts

4 → 79

Calls

4 calls:

392.0ms	(/ NaChar (* (cbrt (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))) (cbrt (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))))
192.0ms	(cbrt (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))
191.0ms	(cbrt (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))
208.0ms	(cbrt (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))

series1.0s

Counts

4 → 12

Calls

4 calls:

271.0ms	(/ NaChar (* (cbrt (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))) (cbrt (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))))
250.0ms	(cbrt (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))
243.0ms	(cbrt (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))
240.0ms	(cbrt (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))))

simplify95.0ms

Counts

91 → 91

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	334	1566
1	945	1425
2	3183	1364
3	5001	1356
done	5001	1356

prune558.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes367.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	18
1	39	18
done	39	18

end0.0ms

sample1.3s

Algorithm

intervals

Results

761.0ms	8000×	body	80	valid
1.0ms	2×	body	10240	exit