Details

sample38.0ms

Algorithm

intervals

Results

17.0ms

256×

body

valid

simplify46.0ms

Algorithm

egg-herbie

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	1422	17
5	2726	17
6	5001	17

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite855.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 213

Calls

4 calls:

239.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
116.0ms	(+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))
168.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
319.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))

series236.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
66.0ms	(+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))
53.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
59.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))

simplify49.0ms

Algorithm

egg-herbie

Counts

225 → 225

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	511	1688
1	1487	1629
2	5001	1606

prune812.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

241×	`*-un-lft-identity`
147×	`exp-prod`
135×	`times-frac`
103×	`add-sqr-sqrt`
79×	`add-cube-cbrt`
72×	`distribute-lft-out--`
59×	`pow-pow`
51×	`distribute-rgt-neg-in`
42×	`distribute-lft-neg-in`
36×	`distribute-lft-out`
12×	`cbrt-prod` `difference-of-squares`
6×	`neg-mul-1` `unpow-prod-down` `exp-diff` `div-sub` `cube-prod` `add-log-exp`
5×	`pow1` `add-cbrt-cube`
4×	`add-exp-log` `cube-div` `neg-sub0`
3×	`exp-neg` `pow-unpow` `distribute-frac-neg` `div-inv`
2×	`cube-mult` `cbrt-div` `unpow3` `rem-exp-log` `sqr-pow`
1×	`pow-to-exp` `associate-+r-` `pow1/3` `unsub-neg` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 216

Calls

4 calls:

397.0ms	(pow (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)) 3)
171.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
317.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
156.0ms	(cbrt (pow (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)) 3))

series271.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(pow (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)) 3)
58.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
55.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
61.0ms	(cbrt (pow (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)) 3))

simplify62.0ms

Algorithm

egg-herbie

Counts

228 → 228

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	581	1610
1	2079	1554
2	5001	1506

prune921.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
0.1b	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
0.2b	(/ (+ (pow 1.0 3) (pow (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)) 3)) (+ (* (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)) (- (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)) 1.0)) (* 1.0 1.0)))
1.9b	(- (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)) 1.0)

rewrite3.4s

Algorithm

rewrite-expression-head

Rules

209×	`*-un-lft-identity`
108×	`times-frac`
89×	`exp-prod`
73×	`add-sqr-sqrt`
59×	`add-cube-cbrt`
56×	`distribute-lft-out`
37×	`distribute-lft-out--`
30×	`distribute-rgt-neg-in`
21×	`distribute-lft-neg-in`
16×	`unpow-prod-down` `cube-prod`
9×	`associate-/l*`
8×	`add-log-exp`
7×	`difference-of-squares`
6×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `exp-diff` `div-sub` `sum-cubes`
3×	`neg-mul-1` `associate-/r*` `div-inv`
2×	`neg-sub0` `flip3-+` `associate-/r/` `flip-+` `rem-exp-log` `associate-/l/`
1×	`cbrt-undiv` `exp-neg` `associate-+r-` `sub-neg` `flip3--` `frac-2neg` `diff-log` `distribute-frac-neg` `div-exp` `unsub-neg` `clear-num` `flip--`

Counts

4 → 179

Calls

4 calls:

172.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
321.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
2.4s	(/ (+ (pow 1.0 3) (pow (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)) 3)) (+ (* (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)) (- (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)) 1.0)) (* 1.0 1.0)))
548.0ms	(- (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)) 1.0)

series851.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
59.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
652.0ms	(/ (+ (pow 1.0 3) (pow (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)) 3)) (+ (* (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)) (- (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)) 1.0)) (* 1.0 1.0)))
72.0ms	(- (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)) 1.0)

simplify75.0ms

Algorithm

egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	600	3159
1	2202	3003
2	5001	2986

prune906.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
0.1b	(* (sqrt (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)) 3)
10.2b	(sqrt (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
10.2b	(sqrt (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))

rewrite844.0ms

Algorithm

rewrite-expression-head

Rules

319×	`*-un-lft-identity`
192×	`times-frac`
176×	`sqrt-prod`
152×	`add-sqr-sqrt`
108×	`distribute-lft-out--`
103×	`add-cube-cbrt`
72×	`distribute-rgt-neg-in`
63×	`distribute-lft-neg-in`
61×	`associate-l`
36×	`distribute-lft-out`
31×	`exp-prod`
18×	`difference-of-squares`
9×	`neg-mul-1`
8×	`pow1`
6×	`add-exp-log` `add-cbrt-cube`
5×	`add-log-exp`
4×	`rem-sqrt-square` `div-inv`
3×	`exp-diff` `sqrt-div` `div-sub` `associate-r` `unswap-sqr`
2×	`sqrt-pow1` `pow1/2`
1×	`neg-sub0` `associate-+r-` `unsub-neg` `pow-prod-down` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `rem-exp-log`

Counts

4 → 261

Calls

4 calls:

170.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
331.0ms	(* (sqrt (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)) 3)
161.0ms	(sqrt (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
164.0ms	(sqrt (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))

series495.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
167.0ms	(* (sqrt (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)) 3)
132.0ms	(sqrt (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
138.0ms	(sqrt (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))

simplify86.0ms

Algorithm

egg-herbie

Counts

273 → 273

Iterations

Useful iterations: 3 (61.0ms)

Iter	Nodes	Cost
0	503	2592
1	1191	2493
2	3525	2446
3	5001	2423

prune1.3s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes310.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	19
1	38	19

end0.0ms

sample906.0ms

Algorithm

intervals

Results

532.0ms

8000×

body

valid