Details

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

sample41.0ms

Algorithm

intervals

Results

16.0ms	142×	body	160	valid
8.0ms	283×	pre	80	true
6.0ms	114×	body	80	valid
1.0ms	27×	body	80	nan

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 29.3b

Counts

2 → 1

localize10.0ms

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))
29.3b	(+ (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:

5.0ms	(- (* 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))))

series51.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(- (* b b) (* (* 3.0 a) c))
3.0ms	(* (* 3.0 a) c)
25.0ms	(/ (+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
14.0ms	(+ (neg b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify33.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	4951	1155
1	4951	1155

prune115.0ms

Filtered

59 candidates to 84 candidates (-42.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	79	5	84
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	5	85

Merged error: 0.5b

Counts

85 → 5

localize14.0ms

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))

rewrite41.0ms

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))))))
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)))))) (* 3.0 a))

series107.0ms

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))
3.0ms	(* 3.0 (* a c))
46.0ms	(/ (/ (* 3.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))

simplify60.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4959	2134
1	4959	2134

prune183.0ms

Filtered

76 candidates to 135 candidates (-77.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	127	8	135
Fresh	4	0	4
Picked	1	0	1
Done	0	0	0
Total	132	8	140

Merged error: 0.0b

Counts

140 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

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:

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

series112.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(- (* b b) (* 3.0 (* a c)))
52.0ms	(* c (/ a (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c)))))))
48.0ms	(/ (* c (/ a (- (neg b) (sqrt (- (* b b) (* 3.0 (* a c))))))) a)
3.0ms	(* 3.0 (* a c))

simplify63.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4951	1537
1	4951	1537

prune147.0ms

Filtered

70 candidates to 111 candidates (-58.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	110	1	111
Fresh	0	7	7
Picked	1	0	1
Done	0	0	0
Total	111	8	119

Merged error: 0b

Counts

119 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (* c (/ a (- (neg b) (sqrt (cbrt (pow (- (* b b) (* 3.0 (* a c))) 3)))))) a)
0.3b	(* 3.0 (* a c))
0.5b	(cbrt (pow (- (* b b) (* 3.0 (* a c))) 3))
0.7b	(pow (- (* b b) (* 3.0 (* a c))) 3)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log` `add-cbrt-cube`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`cbrt-prod`
10×	`pow1`
6×	`unpow-prod-down` `cube-prod`
5×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `cube-div` `div-exp` `add-log-exp`
3×	`pow-unpow` `times-frac` `associate-l` `pow-prod-down` `associate-/r*`
2×	`cube-mult` `cbrt-div` `flip3--` `unpow3` `flip--` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `frac-2neg` `pow1/3` `associate-r/` `associate-r` `pow-exp` `clear-num` `-commutative` `rem-cbrt-cube` `div-inv` `associate-/l/` `associate-/l*` `rem-cube-cbrt`

Counts

4 → 90

Calls

4 calls:

19.0ms	(/ (* c (/ a (- (neg b) (sqrt (cbrt (pow (- (* b b) (* 3.0 (* a c))) 3)))))) a)
5.0ms	(* 3.0 (* a c))
4.0ms	(cbrt (pow (- (* b b) (* 3.0 (* a c))) 3))
4.0ms	(pow (- (* b b) (* 3.0 (* a c))) 3)

series81.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(/ (* c (/ a (- (neg b) (sqrt (cbrt (pow (- (* b b) (* 3.0 (* a c))) 3)))))) a)
3.0ms	(* 3.0 (* a c))
9.0ms	(cbrt (pow (- (* b b) (* 3.0 (* a c))) 3))
19.0ms	(pow (- (* b b) (* 3.0 (* a c))) 3)

simplify41.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5052	1360

prune101.0ms

Filtered

58 candidates to 102 candidates (-75.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	102	8	110

Merged error: 0b

Counts

110 → 8

regimes192.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	22
1	20	22

end0.0ms

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

sample1.1s

Algorithm

intervals

Results

429.0ms	4474×	body	160	valid
252.0ms	9021×	pre	80	true
177.0ms	3526×	body	80	valid
49.0ms	1021×	body	80	nan

Details

analyze260.0ms

sample41.0ms

simplify3.0ms

prune6.0ms

localize10.0ms

rewrite29.0ms

series51.0ms

simplify33.0ms

prune115.0ms

localize14.0ms

rewrite41.0ms

series107.0ms

simplify60.0ms

prune183.0ms

localize12.0ms

rewrite41.0ms

series112.0ms

simplify63.0ms

prune147.0ms

localize17.0ms

rewrite35.0ms

series81.0ms

simplify41.0ms

prune101.0ms

regimes192.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze258.0ms

sample1.1s

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