Details

analyze449.0ms

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

sample54.0ms

Algorithm

intervals

Results

20.0ms	124×	body	320	valid
8.0ms	84×	body	160	valid
8.0ms	285×	pre	80	true
4.0ms	19×	body	640	valid
1.0ms	29×	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

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: 52.3b

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))
25.3b	(- (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)))
12.0ms	(/ (- (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)

series52.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(- (* b b) (* 3.0 (* a c)))
25.0ms	(/ (- (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)

simplify48.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5461	1199

prune127.0ms

Filtered

59 candidates to 85 candidates (-44.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	80	5	85
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	80	6	86

Merged error: 0.2b

Counts

86 → 6

localize15.0ms

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))

rewrite39.0ms

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

series103.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(/ (* 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)))
44.0ms	(/ (/ (* 3.0 (* a (neg c))) (+ b (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))

simplify54.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4983	1982
1	4983	1982

prune166.0ms

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	1	0	1
Total	127	5	132

Merged error: 0b

Counts

132 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

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:

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

series73.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(/ c (+ b (sqrt (- (* b b) (* 3.0 (* a c))))))
14.0ms	(+ b (sqrt (- (* b b) (* 3.0 (* a c)))))
10.0ms	(- (* b b) (* 3.0 (* a c)))
4.0ms	(* 3.0 (* a c))

simplify65.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4925	1187
1	4925	1187

prune128.0ms

Filtered

61 candidates to 86 candidates (-41.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	86	5	91

Merged error: 0b

Counts

91 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
30×	`add-sqr-sqrt`
26×	`times-frac`
23×	`add-cube-cbrt`
22×	`add-exp-log`
19×	`associate-r`
16×	`add-cbrt-cube`
12×	`pow1`
7×	`prod-exp` `distribute-lft-out`
6×	`associate-l` `add-log-exp`
5×	`cbrt-unprod`
4×	`div-exp` `pow-prod-down` `associate-/r*` `associate-/r/`
3×	`associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `flip3-+` `1-exp` `*-commutative` `flip-+` `div-inv`
1×	`sub-neg` `flip3--` `pow-flip` `frac-2neg` `diff-log` `associate-*r/` `clear-num` `un-div-inv` `flip--` `inv-pow`

Counts

4 → 107

Calls

4 calls:

8.0ms	(/ 1 (+ b (sqrt (- (* b b) (* 3.0 (* a c))))))
4.0ms	(- (* b b) (* 3.0 (* a c)))
12.0ms	(* c (/ 1 (+ b (sqrt (- (* b b) (* 3.0 (* a c)))))))
5.0ms	(* 3.0 (* a c))

series82.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ 1 (+ b (sqrt (- (* b b) (* 3.0 (* a c))))))
8.0ms	(- (* b b) (* 3.0 (* a c)))
46.0ms	(* c (/ 1 (+ b (sqrt (- (* b b) (* 3.0 (* a c)))))))
3.0ms	(* 3.0 (* a c))

simplify57.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5070	1621

prune135.0ms

Filtered

72 candidates to 119 candidates (-65.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	119	5	124

Merged error: 0b

Counts

124 → 5

regimes161.0ms

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

sample1.5s

Algorithm

intervals

Results

559.0ms	3708×	body	320	valid
281.0ms	2828×	body	160	valid
274.0ms	8853×	pre	80	true
105.0ms	535×	body	640	valid
48.0ms	929×	body	80	valid
45.0ms	853×	body	80	nan

Details

analyze449.0ms

sample54.0ms

simplify177.0ms

prune8.0ms

localize10.0ms

rewrite29.0ms

series52.0ms

simplify48.0ms

prune127.0ms

localize15.0ms

rewrite39.0ms

series103.0ms

simplify54.0ms

prune166.0ms

localize12.0ms

rewrite23.0ms

series73.0ms

simplify65.0ms

prune128.0ms

localize13.0ms

rewrite32.0ms

series82.0ms

simplify57.0ms

prune135.0ms

regimes161.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.5s

Profiling