Details

sample0.0hr

Algorithm

intervals

Results

0.0hr	121×	body	320	valid
0.0hr	480×	pre	80	true
0.0hr	85×	body	160	valid
0.0hr	224×	body	80	nan
0.0hr	21×	body	640	valid
0.0hr	29×	body	80	valid

simplify0.0hr

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0hr)

Iter	Nodes	Cost
0	21	9
1	42	9
2	76	9
3	94	9
4	102	9
5	102	9

prune0.0hr

Filtered

1 candidates to 0 candidates (100.0%)

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: 53.3b

Counts

2 → 1

localize0.0hr

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* (* 3.0 a) c))
0.2b	(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
0.3b	(* (* 3.0 a) c)
25.8b	(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
14×	`add-exp-log` `add-cbrt-cube`
10×	`add-log-exp`
9×	`pow1`
7×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`distribute-lft-out`
5×	`times-frac` `associate-/l*`
4×	`prod-exp` `cbrt-unprod`
3×	`distribute-rgt-neg-in` `associate-r` `pow-prod-down`
2×	`cbrt-undiv` `neg-sub0` `associate-+l-` `flip3-+` `div-exp` `sum-log` `flip-+` `associate-/l/`
1×	`+-commutative` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-sub` `associate-l` `neg-log` `clear-num` `associate-/r` `-commutative` `flip--` `div-inv`

Counts

4 → 73

Calls

4 calls:

0.0hr	(- (* b b) (* (* 3.0 a) c))
0.0hr	(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
0.0hr	(* (* 3.0 a) c)
0.0hr	(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series0.0hr

Counts

4 → 12

Calls

4 calls:

0.0hr	(- (* b b) (* (* 3.0 a) c))
0.0hr	(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
0.0hr	(* (* 3.0 a) c)
0.0hr	(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify0.0hr

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (0.0hr)

Iter	Nodes	Cost
0	417	711
1	1922	611
2	5002	602

prune0.0hr

Filtered

85 candidates to 59 candidates (30.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	80	5	85
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	81	5	86

Merged error: 0.1b

Counts

86 → 5

localize0.0hr

Local error

Found 4 expressions with local error:

0.3b	(* 3.0 (* a c))
0.3b	(* (* 3.0 a) c)
0.3b	(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.3b	(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
80×	`add-sqr-sqrt` `*-un-lft-identity`
40×	`add-cube-cbrt`
30×	`associate-/l*`
28×	`add-exp-log` `add-cbrt-cube`
20×	`distribute-lft-out--` `difference-of-squares`
14×	`pow1`
10×	`distribute-rgt-neg-in` `sqrt-prod`
8×	`prod-exp` `associate-/r*` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp`
6×	`pow-prod-down` `associate-/r/`
4×	`associate-r` `associate-l` `div-inv` `add-log-exp`
3×	`flip3--` `flip--` `associate-/l/`
2×	`frac-2neg` `clear-num` `*-commutative`
1×	`flip3-+` `flip-+`

Counts

4 → 157

Calls

4 calls:

0.0hr	(* 3.0 (* a c))
0.0hr	(* (* 3.0 a) c)
0.0hr	(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.0hr	(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series0.0hr

Counts

4 → 12

Calls

4 calls:

0.0hr	(* 3.0 (* a c))
0.0hr	(* (* 3.0 a) c)
0.0hr	(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.0hr	(/ (/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify0.0hr

Algorithm

egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 2 (0.0hr)

Iter	Nodes	Cost
0	628	2481
1	3322	2152
2	5002	2149

prune0.0hr

Filtered

169 candidates to 104 candidates (38.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	163	6	169
Fresh	3	1	4
Picked	1	0	1
Done	0	0	0
Total	167	7	174

Merged error: 0b

Counts

174 → 7

localize0.0hr

Local error

Found 4 expressions with local error:

0.2b	(/ (/ (* 3.0 (* a c)) (* 3.0 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))) a)
0.3b	(* 3.0 (* a c))
0.3b	(* (* 3.0 a) c)
0.3b	(/ (* 3.0 (* a c)) (* 3.0 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

64×	`add-exp-log` `add-cbrt-cube`
26×	`times-frac`
24×	`prod-exp` `cbrt-unprod`
19×	`cbrt-undiv` `div-exp`
18×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
14×	`pow1`
10×	`associate-*r/` `associate-/r/`
8×	`associate-/l*`
6×	`pow-prod-down` `div-inv`
5×	`flip3--` `flip--`
4×	`associate-r` `associate-l` `associate-/r*` `add-log-exp`
2×	`frac-2neg` `clear-num` `*-commutative`
1×	`associate-/l/`

Counts

4 → 119

Calls

4 calls:

0.0hr	(/ (/ (* 3.0 (* a c)) (* 3.0 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))) a)
0.0hr	(* 3.0 (* a c))
0.0hr	(* (* 3.0 a) c)
0.0hr	(/ (* 3.0 (* a c)) (* 3.0 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

series0.0hr

Counts

4 → 12

Calls

4 calls:

0.0hr	(/ (/ (* 3.0 (* a c)) (* 3.0 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))) a)
0.0hr	(* 3.0 (* a c))
0.0hr	(* (* 3.0 a) c)
0.0hr	(/ (* 3.0 (* a c)) (* 3.0 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

simplify0.0hr

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (0.0hr)

Iter	Nodes	Cost
0	645	1848
1	4327	1375
2	5001	1309

prune0.0hr

Filtered

131 candidates to 79 candidates (39.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	130	1	131
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	131	7	138

Merged error: 0b

Counts

138 → 7

localize0.0hr

Local error

Found 4 expressions with local error:

0.2b	(/ (/ 1 (/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* a c))) a)
0.3b	(* (* 3.0 a) c)
0.3b	(/ 1 (/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* a c)))
0.3b	(/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* a c))

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

398×	`times-frac`
210×	`add-sqr-sqrt` `*-un-lft-identity`
138×	`add-cube-cbrt`
67×	`add-exp-log`
48×	`associate-/l*`
37×	`add-cbrt-cube`
36×	`div-exp` `distribute-lft-out--` `difference-of-squares`
23×	`div-inv`
18×	`distribute-rgt-neg-in` `sqrt-prod`
16×	`cbrt-undiv`
15×	`associate-/r*`
10×	`pow1` `prod-exp`
6×	`rec-exp` `1-exp` `cbrt-unprod`
5×	`associate-/r/`
4×	`add-log-exp`
3×	`frac-2neg` `associate-r` `pow-prod-down` `clear-num` `associate-/l/`
1×	`flip3--` `pow-flip` `div-sub` `associate-l` `*-commutative` `flip--` `inv-pow`

Counts

4 → 302

Calls

4 calls:

0.0hr	(/ (/ 1 (/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* a c))) a)
0.0hr	(* (* 3.0 a) c)
0.0hr	(/ 1 (/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* a c)))
0.0hr	(/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* a c))

series0.0hr

Counts

4 → 12

Calls

4 calls:

0.0hr	(/ (/ 1 (/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* a c))) a)
0.0hr	(* (* 3.0 a) c)
0.0hr	(/ 1 (/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* a c)))
0.0hr	(/ (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* a c))

simplify0.0hr

Algorithm

egg-herbie

Counts

314 → 314

Iterations

Useful iterations: 1 (0.0hr)

Iter	Nodes	Cost
0	1145	5188
1	5001	4721

prune0.0hr

Filtered

314 candidates to 168 candidates (46.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	313	1	314
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	314	7	321

Merged error: 0b

Counts

321 → 7

regimes0.0hr

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0hr

simplify0.0hr

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0hr)

Iter	Nodes	Cost
0	22	12
1	22	12

end0.0hr

sample0.0hr

Algorithm

intervals

Results

0.0hr	3550×	body	320	valid
0.0hr	16341×	pre	80	true
0.0hr	8341×	body	80	nan
0.0hr	2955×	body	160	valid
0.0hr	546×	body	640	valid
0.0hr	949×	body	80	valid

Details

sample0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

regimes0.0hr

bsearch0.0hr

simplify0.0hr

end0.0hr

sample0.0hr

Profiling