Details

sample69.0ms

Algorithm

intervals

Results

48.0ms

256×

body

valid

simplify45.0ms

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	1425	17
5	2733	17
6	5001	17

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.0s

Algorithm

rewrite-expression-head

Rules

259×	`*-un-lft-identity`
135×	`times-frac`
105×	`add-sqr-sqrt`
89×	`exp-prod`
84×	`distribute-lft-out--`
77×	`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` `expm1-log1p-u` `exp-diff` `log1p-expm1-u`
3×	`neg-sub0` `fma-def` `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 → 224

Calls

4 calls:

312.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
235.0ms	(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
272.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
171.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))

series240.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
66.0ms	(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
55.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
61.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))

simplify50.0ms

Algorithm

egg-herbie

Counts

236 → 236

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	519	1743
1	1507	1683
2	5001	1660

prune915.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

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

rewrite841.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 198

Calls

4 calls:

232.0ms	(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
264.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
169.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
166.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))

series235.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
57.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
55.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
59.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))

simplify92.0ms

Algorithm

egg-herbie

Counts

210 → 210

Iterations

Useful iterations: 3 (76.0ms)

Iter	Nodes	Cost
0	467	1541
1	1373	1479
2	4585	1466
3	5001	1465

prune854.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(expm1 (log1p (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
0.0b	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
0.0b	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
0.7b	(log1p (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))

rewrite443.0ms

Algorithm

rewrite-expression-head

Rules

174×	`*-un-lft-identity`
81×	`times-frac`
64×	`add-sqr-sqrt`
48×	`add-cube-cbrt` `distribute-lft-out--`
37×	`distribute-rgt-neg-in`
36×	`distribute-lft-out`
31×	`exp-prod`
28×	`distribute-lft-neg-in`
18×	`associate-/l*`
8×	`difference-of-squares`
6×	`add-exp-log` `add-cbrt-cube`
5×	`expm1-log1p-u` `add-log-exp`
4×	`pow1` `neg-mul-1` `div-sub` `log1p-expm1-u`
3×	`exp-diff` `associate-/r*`
2×	`neg-sub0` `div-inv` `associate-/l/` `distribute-neg-frac`
1×	`cbrt-undiv` `associate-+r-` `log1p-udef` `expm1-log1p` `flip3--` `frac-2neg` `log1p-expm1` `distribute-frac-neg` `div-exp` `unsub-neg` `clear-num` `flip--` `rem-exp-log` `expm1-udef`

Counts

4 → 159

Calls

4 calls:

0.0ms	(expm1 (log1p (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
267.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
168.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
0.0ms	(log1p (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))

series311.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(expm1 (log1p (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))
58.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
54.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
110.0ms	(log1p (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))

simplify89.0ms

Algorithm

egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 3 (75.0ms)

Iter	Nodes	Cost
0	456	1356
1	1350	1285
2	4524	1270
3	5001	1267

prune715.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
0.0b	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
0.0b	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
0.9b	(log1p (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))

rewrite617.0ms

Algorithm

rewrite-expression-head

Rules

241×	`*-un-lft-identity`
108×	`times-frac`
77×	`add-sqr-sqrt`
72×	`distribute-lft-out`
62×	`exp-prod`
61×	`add-cube-cbrt`
48×	`distribute-lft-out--`
46×	`distribute-rgt-neg-in`
28×	`distribute-lft-neg-in`
18×	`associate-/l*`
8×	`difference-of-squares`
7×	`div-sub`
6×	`add-exp-log` `exp-diff` `add-cbrt-cube` `add-log-exp`
5×	`expm1-log1p-u`
4×	`pow1` `neg-mul-1` `log1p-expm1-u`
3×	`neg-sub0` `associate-/r*` `div-inv`
2×	`associate-+r-` `unsub-neg` `rem-exp-log` `associate-/l/` `distribute-neg-frac`
1×	`cbrt-undiv` `log1p-udef` `flip3--` `frac-2neg` `log1p-expm1` `distribute-frac-neg` `div-exp` `clear-num` `flip--`

Counts

4 → 192

Calls

4 calls:

268.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
169.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
170.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
0.0ms	(log1p (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))

series281.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)
57.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
57.0ms	(exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))
113.0ms	(log1p (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))))

simplify93.0ms

Algorithm

egg-herbie

Counts

204 → 204

Iterations

Useful iterations: 3 (73.0ms)

Iter	Nodes	Cost
0	439	1504
1	1304	1441
2	4357	1426
3	5001	1423

prune896.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes256.0ms

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	37	19
1	37	19

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.4s	7999×	body	80	valid
0.0ms	1×	body	320	valid