Details

sample47.0ms

Algorithm

intervals

Results

25.0ms

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

176×	`*-un-lft-identity`
81×	`times-frac`
58×	`add-sqr-sqrt` `exp-prod`
50×	`distribute-lft-out`
46×	`add-cube-cbrt`
36×	`distribute-lft-out--`
33×	`distribute-rgt-neg-in`
21×	`distribute-lft-neg-in`
9×	`associate-/l*` `add-log-exp`
6×	`add-exp-log` `add-cbrt-cube` `difference-of-squares`
4×	`pow1` `div-sub`
3×	`neg-mul-1` `flip3-+` `associate-/r*` `flip-+`
2×	`+-commutative` `neg-sub0` `sum-log` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `exp-neg` `associate-+r-` `frac-2neg` `exp-diff` `distribute-frac-neg` `div-exp` `unsub-neg` `clear-num` `rem-exp-log`

Counts

4 → 148

Calls

4 calls:

12.0ms	(+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))
13.0ms	(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
14.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
20.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))

series244.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)))
66.0ms	(+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))
52.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
60.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))

simplify50.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	493	1224
1	1666	1137
2	5001	1117

prune544.0ms

Filtered

160 candidates to 95 candidates (59.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	156	4	160
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	157	4	161

Merged error: 0.0b

Counts

161 → 4

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
0.0b	(cbrt (pow (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))) 3))
0.0b	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
0.0b	(pow (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))) 3)

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

186×	`*-un-lft-identity`
81×	`times-frac`
64×	`add-sqr-sqrt`
58×	`exp-prod`
52×	`add-cube-cbrt` `distribute-lft-out`
36×	`distribute-lft-out--`
33×	`distribute-rgt-neg-in`
21×	`distribute-lft-neg-in`
14×	`cbrt-prod`
9×	`associate-/l*`
8×	`unpow-prod-down` `cube-prod`
7×	`add-exp-log` `add-cbrt-cube`
6×	`difference-of-squares`
5×	`pow1` `add-log-exp`
4×	`cube-div` `div-sub`
3×	`neg-mul-1` `pow-unpow` `flip3-+` `associate-/r*` `flip-+`
2×	`neg-sub0` `cube-mult` `cbrt-div` `unpow3` `div-inv` `associate-/l/` `sqr-pow`
1×	`cbrt-undiv` `exp-neg` `pow-to-exp` `associate-+r-` `pow-pow` `frac-2neg` `exp-diff` `pow1/3` `distribute-frac-neg` `div-exp` `unsub-neg` `pow-exp` `clear-num` `rem-cbrt-cube` `rem-exp-log` `rem-cube-cbrt`

Counts

4 → 176

Calls

4 calls:

14.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
14.0ms	(cbrt (pow (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))) 3))
16.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
18.0ms	(pow (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))) 3)

series301.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
67.0ms	(cbrt (pow (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))) 3))
54.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
124.0ms	(pow (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))) 3)

simplify63.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	565	1639
1	2244	1518
2	5001	1487

prune645.0ms

Filtered

188 candidates to 101 candidates (53.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	187	1	188
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	188	4	192

Merged error: 0.0b

Counts

192 → 4

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
0.0b	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
0.0b	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
0.2b	(* (sqrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))) (sqrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

276×	`*-un-lft-identity`
135×	`times-frac`
118×	`add-sqr-sqrt`
116×	`exp-prod`
82×	`add-cube-cbrt`
72×	`distribute-lft-out--`
54×	`distribute-rgt-neg-in` `distribute-lft-out`
42×	`distribute-lft-neg-in`
26×	`sqrt-prod`
19×	`pow1`
12×	`sqrt-div` `difference-of-squares`
11×	`swap-sqr`
9×	`associate-/l*`
8×	`add-exp-log` `sqrt-pow1` `pow1/2` `add-cbrt-cube`
7×	`flip3-+` `associate-r` `associate-l` `flip-+`
6×	`neg-mul-1` `add-log-exp`
5×	`div-sub` `pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`neg-sub0` `pow-prod-down` `associate-/r*` `pow-sqr` `div-inv`
2×	`exp-neg` `exp-diff` `associate-r/` `distribute-frac-neg` `associate-l/` `rem-exp-log` `associate-/l/`
1×	`cbrt-undiv` `pow2` `associate-+r-` `frac-2neg` `pow-plus` `sqrt-unprod` `div-exp` `unsub-neg` `prod-exp` `clear-num` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 254

Calls

4 calls:

15.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
21.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
17.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
33.0ms	(* (sqrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))) (sqrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))))

series243.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT)
59.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
55.0ms	(exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT))
72.0ms	(* (sqrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))) (sqrt (+ 1.0 (exp (/ (- (- (- (- Ec Vef) EDonor) mu)) KbT)))))

simplify75.0ms

Algorithm

egg-herbie

Counts

266 → 266

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	505	2278
1	2161	2104
2	5001	2029

prune996.0ms

Filtered

266 candidates to 141 candidates (53.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	266	0	266
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	266	4	270

Merged error: 0.0b

Counts

270 → 4

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))) 3)
0.2b	(* (cbrt (sqrt (pow (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))) 3))) (cbrt (sqrt (pow (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))) 3))))
0.2b	(cbrt (sqrt (pow (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))) 3)))
0.2b	(cbrt (sqrt (pow (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))) 3)))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

198×	`cbrt-prod`
166×	`sqrt-prod`
103×	`add-sqr-sqrt`
99×	`*-un-lft-identity`
56×	`unpow-prod-down` `cube-prod`
39×	`add-cube-cbrt`
38×	`swap-sqr`
36×	`unswap-sqr`
26×	`distribute-lft-out`
20×	`associate-r` `associate-l`
19×	`sqr-pow`
18×	`cube-div`
16×	`cbrt-div` `sqrt-div`
12×	`pow1`
9×	`flip3-+` `flip-+`
8×	`pow1/3`
7×	`add-exp-log` `cube-mult` `unpow3`
5×	`add-cbrt-cube`
4×	`frac-times` `add-log-exp`
3×	`pow-unpow`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `pow-pow` `pow-plus` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 221

Calls

4 calls:

15.0ms	(pow (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))) 3)
46.0ms	(* (cbrt (sqrt (pow (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))) 3))) (cbrt (sqrt (pow (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))) 3))))
16.0ms	(cbrt (sqrt (pow (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))) 3)))
16.0ms	(cbrt (sqrt (pow (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))) 3)))

series496.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(pow (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))) 3)
63.0ms	(* (cbrt (sqrt (pow (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))) 3))) (cbrt (sqrt (pow (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))) 3))))
149.0ms	(cbrt (sqrt (pow (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))) 3)))
154.0ms	(cbrt (sqrt (pow (+ 1.0 (exp (/ (+ (+ (+ Ev Vef) EAccept) (- mu)) KbT))) 3)))

simplify91.0ms

Algorithm

egg-herbie

Counts

233 → 233

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	419	5997
1	1496	5686
2	5002	5283

prune759.0ms

Filtered

233 candidates to 98 candidates (42.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	233	0	233
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	233	4	237

Merged error: 0.0b

Counts

237 → 4

regimes382.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	19
1	38	19

end0.0ms

sample1.1s

Algorithm

intervals

Results

713.0ms	7997×	body	80	valid
3.0ms	3×	body	5120	exit
1.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid