Details

analyze254.0ms

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

sample44.0ms

Algorithm

intervals

Results

13.0ms	147×	body	160	valid
10.0ms	294×	pre	80	true
6.0ms	44×	body	320	valid
3.0ms	65×	body	80	valid
2.0ms	38×	body	80	nan

simplify178.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (176.0ms)

Iter	Nodes	Cost
0	1784	16
1	1784	16

prune8.0ms

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: 42.5b

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	(/ (- (sqrt (- (* b b) (* 3.0 (* a c)))) b) (* 3.0 a))
37.8b	(- (sqrt (- (* b b) (* 3.0 (* a c)))) b)

rewrite28.0ms

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)))
5.0ms	(* 3.0 (* a c))
11.0ms	(/ (- (sqrt (- (* b b) (* 3.0 (* a c)))) b) (* 3.0 a))
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)))
3.0ms	(* 3.0 (* a c))
27.0ms	(/ (- (sqrt (- (* b b) (* 3.0 (* a c)))) b) (* 3.0 a))
15.0ms	(- (sqrt (- (* b b) (* 3.0 (* a c)))) b)

simplify46.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5461	1199

prune116.0ms

Filtered

59 candidates to 85 candidates (-44.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	3	86

Merged error: 0.3b

Counts

86 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

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:

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

series104.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify51.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4983	1982
1	4983	1982

prune172.0ms

Filtered

76 candidates to 126 candidates (-65.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	119	7	126
Fresh	2	0	2
Picked	0	1	1
Done	0	0	0
Total	121	8	129

Merged error: 0b

Counts

129 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
14×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`times-frac`
11×	`add-exp-log` `add-cbrt-cube`
9×	`pow1`
8×	`add-log-exp`
5×	`distribute-lft-out`
4×	`associate-/r*`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `associate-/l*`
2×	`flip3-+` `associate-/r/` `flip-+`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `associate-r` `clear-num` `sum-log` `*-commutative` `flip--` `div-inv`

Counts

4 → 74

Calls

4 calls:

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

series72.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(- (* b b) (* 3.0 (* a c)))
46.0ms	(/ c (+ b (sqrt (- (* b b) (* 3.0 (* a c))))))
15.0ms	(+ b (sqrt (- (* b b) (* 3.0 (* a c)))))
3.0ms	(* 3.0 (* a c))

simplify61.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4925	1187
1	4925	1187

prune130.0ms

Filtered

61 candidates to 86 candidates (-41.0%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	86	8	94

Merged error: 0b

Counts

94 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
23×	`add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
21×	`associate-l`
18×	`add-cube-cbrt`
16×	`times-frac`
11×	`pow1` `associate-r`
7×	`prod-exp` `cbrt-unprod`
6×	`add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`pow-prod-down` `distribute-lft-out`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `associate-/r*`
2×	`flip3-+` `associate-l/` `associate-/r/` `-commutative` `distribute-rgt-neg-out` `flip-+` `div-inv` `unswap-sqr`
1×	`+-commutative` `neg-mul-1` `frac-2neg` `distribute-frac-neg` `clear-num` `sum-log` `associate-/l/` `associate-/l*`

Counts

4 → 100

Calls

4 calls:

6.0ms	(+ b (sqrt (- (* b b) (* 3.0 (* a c)))))
11.0ms	(/ (* (/ a (+ b (sqrt (- (* b b) (* 3.0 (* a c)))))) (neg c)) a)
13.0ms	(* (/ a (+ b (sqrt (- (* b b) (* 3.0 (* a c)))))) (neg c))
5.0ms	(* 3.0 (* a c))

series119.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(+ b (sqrt (- (* b b) (* 3.0 (* a c)))))
43.0ms	(/ (* (/ a (+ b (sqrt (- (* b b) (* 3.0 (* a c)))))) (neg c)) a)
55.0ms	(* (/ a (+ b (sqrt (- (* b b) (* 3.0 (* a c)))))) (neg c))
3.0ms	(* 3.0 (* a c))

simplify45.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4996	1651
1	4996	1651

prune134.0ms

Filtered

84 candidates to 112 candidates (-33.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	112	8	120

Merged error: 0b

Counts

120 → 8

regimes193.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	94	15
1	94	15

end0.0ms

sample1.2s

Algorithm

intervals

Results

442.0ms	4825×	body	160	valid
255.0ms	8909×	pre	80	true
187.0ms	1396×	body	320	valid
83.0ms	1779×	body	80	valid
41.0ms	909×	body	80	nan

Details

analyze254.0ms

sample44.0ms

simplify178.0ms

prune8.0ms

localize10.0ms

rewrite28.0ms

series54.0ms

simplify46.0ms

prune116.0ms

localize14.0ms

rewrite40.0ms

series104.0ms

simplify51.0ms

prune172.0ms

localize11.0ms

rewrite24.0ms

series72.0ms

simplify61.0ms

prune130.0ms

localize12.0ms

rewrite38.0ms

series119.0ms

simplify45.0ms

prune134.0ms

regimes193.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.2s

Profiling