Details

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

sample50.0ms

Algorithm

intervals

Results

13.0ms	101×	body	320	valid
9.0ms	101×	body	160	valid
8.0ms	285×	pre	80	true
4.0ms	24×	body	640	valid
2.0ms	30×	body	80	valid
1.0ms	29×	body	80	nan

simplify177.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (175.0ms)

Iter	Nodes	Cost
0	1784	16
1	1784	16

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 52.4b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* 3.0 (* a c)))
0.2b	(/ (- (sqrt (- (* b b) (* 3.0 (* a c)))) b) (* 3.0 a))
0.3b	(* 3.0 (* a c))
30.4b	(- (sqrt (- (* b b) (* 3.0 (* a c)))) b)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

4.0ms	(- (* b b) (* 3.0 (* a c)))
11.0ms	(/ (- (sqrt (- (* b b) (* 3.0 (* a c)))) b) (* 3.0 a))
5.0ms	(* 3.0 (* a c))
7.0ms	(- (sqrt (- (* b b) (* 3.0 (* a c)))) b)

series54.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(- (* b b) (* 3.0 (* a c)))
27.0ms	(/ (- (sqrt (- (* b b) (* 3.0 (* a c)))) b) (* 3.0 a))
3.0ms	(* 3.0 (* a c))
15.0ms	(- (sqrt (- (* b b) (* 3.0 (* a c)))) b)

simplify47.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5461	1199

prune121.0ms

Filtered

59 candidates to 85 candidates (-44.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	80	5	85
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	81	5	86

Merged error: 0.1b

Counts

86 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 3.0 (* a c))
0.3b	(* 3.0 (* a (neg c)))
0.3b	(/ (* 3.0 (* a (neg c))) (+ b (sqrt (- (* b b) (* 3.0 (* a c))))))
0.3b	(/ (/ (* 3.0 (* a (neg c))) (+ 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`
22×	`times-frac`
20×	`*-un-lft-identity`
19×	`prod-exp` `cbrt-unprod`
17×	`cbrt-undiv` `div-exp`
14×	`pow1`
12×	`add-sqr-sqrt` `add-cube-cbrt`
11×	`associate-/l*`
6×	`associate-l` `pow-prod-down` `associate-/r/` `distribute-rgt-neg-out`
5×	`associate-/r*`
4×	`div-inv` `distribute-lft-out` `add-log-exp`
3×	`flip3-+` `distribute-frac-neg` `flip-+`
2×	`frac-2neg` `associate-r` `clear-num` `*-commutative`
1×	`associate-/l/`

Counts

4 → 114

Calls

4 calls:

5.0ms	(* 3.0 (* a c))
5.0ms	(* 3.0 (* a (neg c)))
14.0ms	(/ (* 3.0 (* a (neg c))) (+ b (sqrt (- (* b b) (* 3.0 (* a c))))))
14.0ms	(/ (/ (* 3.0 (* a (neg c))) (+ b (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))

series105.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* 3.0 (* a c))
3.0ms	(* 3.0 (* a (neg c)))
56.0ms	(/ (* 3.0 (* a (neg c))) (+ b (sqrt (- (* b b) (* 3.0 (* a c))))))
42.0ms	(/ (/ (* 3.0 (* a (neg c))) (+ b (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))

simplify52.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4983	1982
1	4983	1982

prune159.0ms

Filtered

76 candidates to 126 candidates (-65.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	121	5	126
Fresh	4	0	4
Picked	1	0	1
Done	0	0	0
Total	126	5	131

Merged error: 0b

Counts

131 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ c (+ b (sqrt (- (* b b) (* 3.0 (* a c))))))
0.0b	(sqrt (- (* b b) (* 3.0 (* a c))))
0.1b	(- (* b b) (* 3.0 (* a c)))
0.3b	(* 3.0 (* a c))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
15×	`add-cube-cbrt`
12×	`times-frac`
11×	`add-exp-log` `add-cbrt-cube`
10×	`pow1`
6×	`add-log-exp`
4×	`associate-/r*` `distribute-lft-out`
3×	`associate-l` `pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod` `associate-/l*`
2×	`flip3--` `sqrt-div` `associate-/r/` `flip--`
1×	`cbrt-undiv` `sub-neg` `rem-sqrt-square` `frac-2neg` `sqrt-pow1` `flip3-+` `pow1/2` `diff-log` `div-exp` `associate-r` `clear-num` `*-commutative` `flip-+` `div-inv`

Counts

4 → 77

Calls

4 calls:

7.0ms	(/ c (+ b (sqrt (- (* b b) (* 3.0 (* a c))))))
6.0ms	(sqrt (- (* b b) (* 3.0 (* a c))))
4.0ms	(- (* b b) (* 3.0 (* a c)))
5.0ms	(* 3.0 (* a c))

series70.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(/ c (+ b (sqrt (- (* b b) (* 3.0 (* a c))))))
14.0ms	(sqrt (- (* b b) (* 3.0 (* a c))))
9.0ms	(- (* b b) (* 3.0 (* a c)))
3.0ms	(* 3.0 (* a c))

simplify63.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4922	1201
1	4922	1201

prune122.0ms

Filtered

63 candidates to 89 candidates (-41.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	89	5	94

Merged error: 0b

Counts

94 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

92×	`add-exp-log`
50×	`add-cbrt-cube`
39×	`prod-exp`
38×	`div-exp`
31×	`times-frac`
22×	`*-un-lft-identity`
20×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`cbrt-unprod`
15×	`cbrt-undiv`
14×	`pow1` `1-exp`
13×	`associate-/l*`
8×	`associate-*r/`
7×	`associate-l`
6×	`pow-prod-down` `add-log-exp`
5×	`associate-/r/`
4×	`frac-times` `flip3-+` `associate-*l/` `flip-+`
3×	`div-inv`
2×	`associate-r` `*-commutative`
1×	`sub-neg` `flip3--` `frac-2neg` `diff-log` `clear-num` `associate-/r*` `flip--` `associate-/l/` `distribute-lft-out`

Counts

4 → 126

Calls

4 calls:

6.0ms	(- (* b b) (* 3.0 (* a c)))
17.0ms	(/ (/ 3.0 1) (* (+ b (sqrt (- (* b b) (* 3.0 (* a c))))) (* 1 (/ 3.0 (neg c)))))
14.0ms	(* (+ b (sqrt (- (* b b) (* 3.0 (* a c))))) (* 1 (/ 3.0 (neg c))))
5.0ms	(* 3.0 (* a c))

series63.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- (* b b) (* 3.0 (* a c)))
32.0ms	(/ (/ 3.0 1) (* (+ b (sqrt (- (* b b) (* 3.0 (* a c))))) (* 1 (/ 3.0 (neg c)))))
19.0ms	(* (+ b (sqrt (- (* b b) (* 3.0 (* a c))))) (* 1 (/ 3.0 (neg c))))
3.0ms	(* 3.0 (* a c))

simplify70.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4984	2141
1	4984	2141

prune145.0ms

Filtered

79 candidates to 138 candidates (-74.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	137	1	138
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	138	5	143

Merged error: 0b

Counts

143 → 5

regimes144.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	94	15
1	94	15

end0.0ms

sample1.4s

Algorithm

intervals

Results

517.0ms	3714×	body	320	valid
265.0ms	2879×	body	160	valid
252.0ms	8854×	pre	80	true
90.0ms	501×	body	640	valid
43.0ms	906×	body	80	valid
39.0ms	854×	body	80	nan

Details

analyze255.0ms

sample50.0ms

simplify177.0ms

prune7.0ms

localize10.0ms

rewrite29.0ms

series54.0ms

simplify47.0ms

prune121.0ms

localize14.0ms

rewrite42.0ms

series105.0ms

simplify52.0ms

prune159.0ms

localize11.0ms

rewrite24.0ms

series70.0ms

simplify63.0ms

prune122.0ms

localize14.0ms

rewrite47.0ms

series63.0ms

simplify70.0ms

prune145.0ms

regimes144.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.4s

Profiling