Details

sample0.0hr

Algorithm

intervals

Results

0.0hr	146×	body	160	valid
0.0hr	540×	pre	80	true
0.0hr	284×	body	80	nan
0.0hr	41×	body	320	valid
0.0hr	69×	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: 41.1b

Counts

2 → 1

localize0.0hr

Local error

Found 4 expressions with local error:

0.2b	(- (* b b) (* (* 3.0 a) c))
0.3b	(* (* 3.0 a) c)
0.3b	(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
36.6b	(+ (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	(* (* 3.0 a) c)
0.0hr	(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
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	(* (* 3.0 a) c)
0.0hr	(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
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	5001	602

prune0.0hr

Filtered

85 candidates to 59 candidates (30.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	79	6	85
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	6	86

Merged error: 0.3b

Counts

86 → 6

localize0.0hr

Local error

Found 4 expressions with local error:

0.3b	(* 3.0 (* a c))
0.3b	(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.3b	(* (* 3.0 a) c)
0.4b	(/ (/ (+ 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	(/ (+ 0 (* 3.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 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))))) (* 3.0 a))

series0.0hr

Counts

4 → 12

Calls

4 calls:

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

simplify0.0hr

Algorithm

egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 2 (0.0hr)

Iter	Nodes	Cost
0	628	2481
1	3326	2152
2	5003	2149

prune0.0hr

Filtered

169 candidates to 104 candidates (38.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	161	8	169
Fresh	3	2	5
Picked	1	0	1
Done	0	0	0
Total	165	10	175

Merged error: 0b

Counts

175 → 10

localize0.0hr

Local error

Found 4 expressions with local error:

0.3b	(/ 3.0 (* a c))
0.3b	(/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
0.3b	(* (* 3.0 a) c)
0.4b	(* (/ 3.0 (/ 3.0 (* a c))) (/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

356×	`times-frac`
266×	`add-sqr-sqrt`
240×	`*-un-lft-identity`
154×	`add-cube-cbrt`
113×	`add-exp-log`
88×	`associate-r`
73×	`add-cbrt-cube`
57×	`div-exp`
42×	`distribute-lft-out--` `difference-of-squares`
32×	`cbrt-undiv`
30×	`associate-/l*`
29×	`prod-exp`
27×	`associate-l`
21×	`distribute-rgt-neg-in` `sqrt-prod`
19×	`cbrt-unprod`
15×	`associate-/r/`
14×	`div-inv`
11×	`pow1`
8×	`unswap-sqr`
7×	`flip3--` `flip--`
5×	`rec-exp` `1-exp`
4×	`pow-prod-down` `associate-/r*` `add-log-exp`
2×	`frac-2neg` `clear-num` `*-commutative`
1×	`frac-times` `associate-r/` `associate-l/` `associate-/l/`

Counts

4 → 330

Calls

4 calls:

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

series0.0hr

Counts

4 → 12

Calls

4 calls:

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

simplify0.0hr

Algorithm

egg-herbie

Counts

342 → 342

Iterations

Useful iterations: 1 (0.0hr)

Iter	Nodes	Cost
0	1464	5263
1	5001	4574

prune0.0hr

Filtered

342 candidates to 191 candidates (44.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	339	3	342
Fresh	3	6	9
Picked	1	0	1
Done	0	0	0
Total	343	9	352

Merged error: 0b

Counts

352 → 9

localize0.0hr

Local error

Found 4 expressions with local error:

0.1b	(* a (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.2b	(- (* b b) (* (* 3.0 a) c))
0.3b	(* (* 3.0 a) c)
0.4b	(/ (* (* 1 a) c) (* a (- (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

39×	`add-exp-log`
32×	`add-cbrt-cube`
18×	`prod-exp`
13×	`add-sqr-sqrt` `cbrt-unprod`
11×	`pow1` `*-un-lft-identity`
10×	`associate-r`
8×	`div-exp`
7×	`add-cube-cbrt`
6×	`cbrt-undiv` `add-log-exp`
4×	`associate-r/` `associate-l*` `pow-prod-down`
3×	`sub-neg` `flip3--` `flip--`
2×	`distribute-rgt-in` `distribute-lft-in` `1-exp` `associate-/r/` `*-commutative` `distribute-lft-out--` `difference-of-squares`
1×	`distribute-rgt-neg-in` `frac-2neg` `times-frac` `diff-log` `clear-num` `associate-/r` `sqrt-prod` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 87

Calls

4 calls:

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

series0.0hr

Counts

4 → 12

Calls

4 calls:

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

simplify0.0hr

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (0.0hr)

Iter	Nodes	Cost
0	515	956
1	3038	734
2	5002	717

prune0.0hr

Filtered

99 candidates to 60 candidates (39.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	100	8	108

Merged error: 0b

Counts

108 → 8

regimes0.0hr

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0hr

simplify0.0hr

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0hr)

Iter	Nodes	Cost
0	20	8
1	22	8
2	22	8

end0.0hr

sample0.0hr

Algorithm

intervals

Results

0.0hr	16429×	pre	80	true
0.0hr	4834×	body	160	valid
0.0hr	8429×	body	80	nan
0.0hr	1337×	body	320	valid
0.0hr	1829×	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