Details

analyze257.0ms

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

sample41.0ms

Algorithm

intervals

Results

14.0ms	158×	body	160	valid
8.0ms	283×	pre	80	true
5.0ms	37×	body	320	valid
3.0ms	61×	body	80	valid
1.0ms	27×	body	80	nan

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	27	17
1	27	17

prune6.0ms

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: 44.0b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* 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))
40.8b	(+ (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))
5.0ms	(* (* 3.0 a) c)
11.0ms	(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
7.0ms	(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series52.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(- (* b b) (* (* 3.0 a) c))
3.0ms	(* (* 3.0 a) c)
26.0ms	(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
15.0ms	(+ (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

prune124.0ms

Filtered

59 candidates to 84 candidates (-42.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	78	6	84
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	79	6	85

Merged error: 0.2b

Counts

85 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

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

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

series104.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* 3.0 (* a c))
3.0ms	(* 3.0 (* a c))
55.0ms	(/ (* 3.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))
42.0ms	(/ (/ (* 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 (44.0ms)

Iter	Nodes	Cost
0	4959	2134
1	4959	2134

prune168.0ms

Filtered

76 candidates to 135 candidates (-77.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	128	7	135
Fresh	5	0	5
Picked	0	1	1
Done	0	0	0
Total	133	8	141

Merged error: 0.0b

Counts

141 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

180×	`times-frac`
155×	`add-sqr-sqrt` `*-un-lft-identity`
87×	`add-cube-cbrt`
34×	`distribute-lft-out--` `difference-of-squares`
28×	`associate-/r*`
22×	`add-exp-log`
17×	`distribute-rgt-neg-in` `sqrt-prod`
16×	`add-cbrt-cube`
10×	`pow1` `associate-/l*`
8×	`div-exp` `add-log-exp`
6×	`div-inv`
4×	`cbrt-undiv`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`rec-exp` `flip3--` `frac-2neg` `diff-log` `1-exp` `clear-num` `flip--` `associate-/l/`
1×	`associate--l-` `neg-sub0` `sub-neg` `pow-flip` `div-sub` `associate-r` `neg-log` `associate-/r/` `*-commutative` `inv-pow`

Counts

4 → 205

Calls

4 calls:

8.0ms	(- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))
10.0ms	(/ (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))) c)
13.0ms	(/ 1 (/ (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))) c))
5.0ms	(* 3.0 (* a c))

series72.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))
18.0ms	(/ (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))) c)
36.0ms	(/ 1 (/ (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))) c))
4.0ms	(* 3.0 (* a c))

simplify103.0ms

Algorithm

egg-herbie

Counts

217 → 217

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4965	4768
1	4965	4768

prune246.0ms

Filtered

115 candidates to 217 candidates (-88.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	215	2	217
Fresh	1	5	6
Picked	0	1	1
Done	1	0	1
Total	217	8	225

Merged error: 0b

Counts

225 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-exp-log`
41×	`times-frac`
40×	`add-sqr-sqrt`
35×	`*-un-lft-identity` `add-cbrt-cube`
27×	`add-cube-cbrt`
19×	`div-exp`
14×	`associate-r`
13×	`associate-/l*`
12×	`cbrt-undiv`
11×	`pow1` `prod-exp`
10×	`associate-l`
9×	`cbrt-unprod`
8×	`add-log-exp`
5×	`flip3--` `associate-/r/` `flip--`
4×	`frac-times` `pow-prod-down` `associate-*l/` `div-inv` `distribute-lft-out--` `difference-of-squares`
3×	`1-exp`
2×	`distribute-rgt-neg-in` `diff-log` `associate-r/` `sqrt-prod` `-commutative` `unswap-sqr`
1×	`associate--l-` `neg-sub0` `sub-neg` `frac-2neg` `neg-log` `clear-num` `associate-/r*` `associate-/l/`

Counts

4 → 133

Calls

4 calls:

8.0ms	(- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))
15.0ms	(/ (/ 3.0 1) (* (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))) (/ 3.0 c)))
16.0ms	(* (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))) (/ 3.0 c))
5.0ms	(* 3.0 (* a c))

series69.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))
34.0ms	(/ (/ 3.0 1) (* (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))) (/ 3.0 c)))
18.0ms	(* (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))) (/ 3.0 c))
3.0ms	(* 3.0 (* a c))

simplify48.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5035	2410

prune172.0ms

Filtered

96 candidates to 145 candidates (-51.0%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	145	0	145
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	145	8	153

Merged error: 0b

Counts

153 → 8

regimes183.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	17
1	17	17

end0.0ms

analyze260.0ms

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

sample1.2s

Algorithm

intervals

Results

470.0ms	4954×	body	160	valid
252.0ms	8836×	pre	80	true
183.0ms	1304×	body	320	valid
86.0ms	1742×	body	80	valid
39.0ms	836×	body	80	nan

Details

analyze257.0ms

sample41.0ms

simplify5.0ms

prune6.0ms

localize10.0ms

rewrite29.0ms

series52.0ms

simplify35.0ms

prune124.0ms

localize12.0ms

rewrite44.0ms

series104.0ms

simplify58.0ms

prune168.0ms

localize11.0ms

rewrite46.0ms

series72.0ms

simplify103.0ms

prune246.0ms

localize13.0ms

rewrite48.0ms

series69.0ms

simplify48.0ms

prune172.0ms

regimes183.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze260.0ms

sample1.2s

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