Details

analyze263.0ms

Algorithm

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1
0%	0%	100%	2
0%	0%	100%	3
0%	0%	100%	4
0%	0%	100%	5
0%	0%	100%	6
0%	0%	100%	7
0%	0%	100%	8
0%	0%	100%	9
0%	0%	100%	10
0%	0%	100%	11
0%	0%	100%	12
0%	0%	100%	13
0%	0%	100%	14

sample50.0ms

Algorithm

intervals

Results

14.0ms	103×	body	320	valid
12.0ms	102×	body	160	valid
8.0ms	280×	pre	80	true
3.0ms	15×	body	640	valid
2.0ms	36×	body	80	valid
1.0ms	24×	body	80	nan

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	27	17
1	27	17

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 50.9b

Counts

2 → 1

localize10.0ms

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)
26.8b	(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite29.0ms

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 → 72

Calls

4 calls:

3.0ms	(- (* b b) (* (* 3.0 a) c))
11.0ms	(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
5.0ms	(* (* 3.0 a) c)
8.0ms	(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series53.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- (* b b) (* (* 3.0 a) c))
25.0ms	(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
3.0ms	(* (* 3.0 a) c)
17.0ms	(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify35.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	4951	1155
1	4951	1155

prune118.0ms

Filtered

59 candidates to 84 candidates (-42.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	80	4	84
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	81	4	85

Merged error: 0.2b

Counts

85 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-exp-log` `add-cbrt-cube`
34×	`times-frac`
28×	`add-sqr-sqrt` `*-un-lft-identity`
19×	`prod-exp` `cbrt-unprod`
17×	`cbrt-undiv` `div-exp`
14×	`pow1` `associate-/l*`
12×	`add-cube-cbrt`
8×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
6×	`associate-l` `pow-prod-down` `associate-/r/`
4×	`distribute-rgt-neg-in` `sqrt-prod` `div-inv` `add-log-exp`
3×	`flip3--` `flip--`
2×	`frac-2neg` `associate-r` `clear-num` `*-commutative`
1×	`associate-/l/`

Counts

4 → 123

Calls

4 calls:

12.0ms	(/ (* 3.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))
5.0ms	(* 3.0 (* a c))
5.0ms	(* 3.0 (* a c))
15.0ms	(/ (/ (* 3.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))

series106.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(/ (* 3.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))
3.0ms	(* 3.0 (* a c))
4.0ms	(* 3.0 (* a c))
45.0ms	(/ (/ (* 3.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))

simplify58.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4959	2134
1	4959	2134

prune165.0ms

Filtered

76 candidates to 135 candidates (-77.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	129	6	135
Fresh	3	0	3
Picked	1	0	1
Done	0	0	0
Total	133	6	139

Merged error: 0b

Counts

139 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt` `*-un-lft-identity`
21×	`times-frac`
17×	`add-cube-cbrt`
11×	`add-exp-log` `add-cbrt-cube`
10×	`distribute-lft-out--` `add-log-exp` `difference-of-squares`
9×	`pow1`
7×	`associate-/r*`
5×	`distribute-rgt-neg-in` `sqrt-prod`
3×	`flip3--` `diff-log` `associate-l` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod` `associate-/l*`
2×	`sub-neg` `associate-/r/`
1×	`cbrt-undiv` `associate--l-` `neg-sub0` `frac-2neg` `div-exp` `associate-r` `neg-log` `clear-num` `*-commutative` `div-inv`

Counts

4 → 91

Calls

4 calls:

8.0ms	(- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))
4.0ms	(- (* b b) (* 3.0 (* a c)))
9.0ms	(/ c (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))
5.0ms	(* 3.0 (* a c))

series74.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))
8.0ms	(- (* b b) (* 3.0 (* a c)))
47.0ms	(/ c (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))
3.0ms	(* 3.0 (* a c))

simplify52.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5701	1659

prune134.0ms

Filtered

67 candidates to 103 candidates (-53.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	104	5	109

Merged error: 0b

Counts

109 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-sqr-sqrt`
58×	`*-un-lft-identity`
44×	`times-frac`
29×	`add-cube-cbrt`
28×	`associate-r`
22×	`add-exp-log`
16×	`add-cbrt-cube`
14×	`distribute-lft-out--` `difference-of-squares`
12×	`pow1`
7×	`distribute-rgt-neg-in` `prod-exp` `associate-/r*` `sqrt-prod`
6×	`associate-l` `add-log-exp`
5×	`cbrt-unprod`
4×	`div-exp` `pow-prod-down` `associate-/r/`
3×	`flip3--` `flip--` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `*-commutative` `div-inv`
1×	`sub-neg` `pow-flip` `frac-2neg` `diff-log` `associate-*r/` `clear-num` `un-div-inv` `inv-pow`

Counts

4 → 128

Calls

4 calls:

4.0ms	(- (* b b) (* 3.0 (* a c)))
10.0ms	(/ 1 (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))
15.0ms	(* c (/ 1 (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))))
5.0ms	(* 3.0 (* a c))

series84.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(- (* b b) (* 3.0 (* a c)))
24.0ms	(/ 1 (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))
48.0ms	(* c (/ 1 (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))))
3.0ms	(* 3.0 (* a c))

simplify57.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5445	2127

prune148.0ms

Filtered

78 candidates to 140 candidates (-79.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	140	5	145

Merged error: 0b

Counts

145 → 5

regimes152.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	15
1	18	15

end0.0ms

analyze259.0ms

Algorithm

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1
0%	0%	100%	2
0%	0%	100%	3
0%	0%	100%	4
0%	0%	100%	5
0%	0%	100%	6
0%	0%	100%	7
0%	0%	100%	8
0%	0%	100%	9
0%	0%	100%	10
0%	0%	100%	11
0%	0%	100%	12
0%	0%	100%	13
0%	0%	100%	14

sample1.4s

Algorithm

intervals

Results

521.0ms	3653×	body	320	valid
280.0ms	2913×	body	160	valid
250.0ms	8794×	pre	80	true
93.0ms	491×	body	640	valid
45.0ms	943×	body	80	valid
37.0ms	794×	body	80	nan

Details

analyze263.0ms

sample50.0ms

simplify3.0ms

prune7.0ms

localize10.0ms

rewrite29.0ms

series53.0ms

simplify35.0ms

prune118.0ms

localize15.0ms

rewrite42.0ms

series106.0ms

simplify58.0ms

prune165.0ms

localize11.0ms

rewrite28.0ms

series74.0ms

simplify52.0ms

prune134.0ms

localize13.0ms

rewrite39.0ms

series84.0ms

simplify57.0ms

prune148.0ms

regimes152.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze259.0ms

sample1.4s

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