Details

analyze258.0ms

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

sample40.0ms

Algorithm

intervals

Results

16.0ms	149×	body	160	valid
8.0ms	283×	pre	80	true
5.0ms	107×	body	80	valid
1.0ms	27×	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

prune10.0ms

Filtered

1 candidates to 1 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: 29.1b

Counts

2 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* b b) (* (* 3.0 a) c))
0.3b	(* (* 3.0 a) c)
0.4b	(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
29.0b	(+ (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))
5.0ms	(* (* 3.0 a) c)
11.0ms	(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
8.0ms	(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series53.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(- (* b b) (* (* 3.0 a) c))
3.0ms	(* (* 3.0 a) c)
27.0ms	(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
14.0ms	(+ (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

prune115.0ms

Filtered

58 candidates to 84 candidates (-44.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	80	4	84
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	82	4	86

Merged error: 0.5b

Counts

86 → 4

localize12.0ms

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))

rewrite44.0ms

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:

13.0ms	(/ (* 3.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))
4.0ms	(* 3.0 (* a c))
7.0ms	(* 3.0 (* a c))
15.0ms	(/ (/ (* 3.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))

series105.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(/ (* 3.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))
3.0ms	(* 3.0 (* a c))
3.0ms	(* 3.0 (* a c))
43.0ms	(/ (/ (* 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

prune180.0ms

Filtered

76 candidates to 135 candidates (-77.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	127	8	135
Fresh	2	1	3
Picked	1	0	1
Done	0	0	0
Total	130	9	139

Merged error: 0.0b

Counts

139 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
31×	`*-un-lft-identity`
28×	`associate-r`
25×	`times-frac`
23×	`add-exp-log` `add-cbrt-cube`
19×	`add-cube-cbrt`
11×	`pow1`
7×	`prod-exp` `cbrt-unprod`
6×	`associate-l` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
5×	`cbrt-undiv` `div-exp`
4×	`pow-prod-down`
3×	`distribute-rgt-neg-in` `associate-/r*` `sqrt-prod`
2×	`flip3--` `associate-r/` `associate-/r/` `-commutative` `flip--` `div-inv` `unswap-sqr`
1×	`sub-neg` `frac-2neg` `diff-log` `clear-num` `associate-/l/` `associate-/l*`

Counts

4 → 99

Calls

4 calls:

15.0ms	(* c (/ a (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))))
13.0ms	(/ (* c (/ a (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))) a)
4.0ms	(- (* b b) (* 3.0 (* a c)))
5.0ms	(* 3.0 (* a c))

series114.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* c (/ a (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))))
50.0ms	(/ (* c (/ a (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))) a)
9.0ms	(- (* b b) (* 3.0 (* a c)))
3.0ms	(* 3.0 (* a c))

simplify62.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4951	1537
1	4951	1537

prune154.0ms

Filtered

70 candidates to 111 candidates (-58.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	109	2	111
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	112	8	120

Merged error: 0b

Counts

120 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

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:

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

series83.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(/ 1 (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))
9.0ms	(- (* b b) (* 3.0 (* a c)))
45.0ms	(* c (/ 1 (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))))
3.0ms	(* 3.0 (* a c))

simplify55.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5445	2127

prune147.0ms

Filtered

78 candidates to 140 candidates (-79.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	140	8	148

Merged error: 0b

Counts

148 → 8

regimes189.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	17
1	18	17

end0.0ms

analyze255.0ms

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

sample1.1s

Algorithm

intervals

Results

416.0ms	4428×	body	160	valid
250.0ms	8974×	pre	80	true
178.0ms	3572×	body	80	valid
47.0ms	974×	body	80	nan

Details

analyze258.0ms

sample40.0ms

simplify3.0ms

prune10.0ms

localize11.0ms

rewrite29.0ms

series53.0ms

simplify35.0ms

prune115.0ms

localize12.0ms

rewrite44.0ms

series105.0ms

simplify58.0ms

prune180.0ms

localize13.0ms

rewrite40.0ms

series114.0ms

simplify62.0ms

prune154.0ms

localize12.0ms

rewrite40.0ms

series83.0ms

simplify55.0ms

prune147.0ms

regimes189.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze255.0ms

sample1.1s

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