Details

analyze270.0ms

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

sample39.0ms

Algorithm

intervals

Results

15.0ms	152×	body	160	valid
8.0ms	274×	pre	80	true
5.0ms	104×	body	80	valid
1.0ms	18×	body	80	nan

simplify179.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (177.0ms)

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: 29.2b

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))
0.3b	(/ (- (sqrt (- (* b b) (* 3.0 (* a c)))) b) (* 3.0 a))
29.1b	(- (sqrt (- (* b b) (* 3.0 (* a c)))) b)

rewrite33.0ms

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))
12.0ms	(/ (- (sqrt (- (* b b) (* 3.0 (* a c)))) b) (* 3.0 a))
10.0ms	(- (sqrt (- (* b b) (* 3.0 (* a c)))) b)

series52.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- (* b b) (* 3.0 (* a c)))
3.0ms	(* 3.0 (* a c))
25.0ms	(/ (- (sqrt (- (* b b) (* 3.0 (* a c)))) b) (* 3.0 a))
15.0ms	(- (sqrt (- (* b b) (* 3.0 (* a c)))) b)

simplify47.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5461	1199

prune125.0ms

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: 0.5b

Counts

86 → 5

localize15.0ms

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

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)))
15.0ms	(/ (/ (* 3.0 (* a (neg c))) (+ b (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))
12.0ms	(/ (* 3.0 (* a (neg c))) (+ b (sqrt (- (* b b) (* 3.0 (* a c))))))

series108.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* 3.0 (* a c))
5.0ms	(* 3.0 (* a (neg c)))
43.0ms	(/ (/ (* 3.0 (* a (neg c))) (+ b (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))
56.0ms	(/ (* 3.0 (* a (neg c))) (+ b (sqrt (- (* b b) (* 3.0 (* a c))))))

simplify55.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4983	1982
1	4983	1982

prune185.0ms

Filtered

76 candidates to 126 candidates (-65.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	118	8	126
Fresh	4	0	4
Picked	1	0	1
Done	0	0	0
Total	123	8	131

Merged error: 0b

Counts

131 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-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`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `associate-/r*` `distribute-lft-out`
2×	`associate-l/` `associate-/r/` `-commutative` `distribute-rgt-neg-out` `div-inv` `unswap-sqr`
1×	`neg-mul-1` `sub-neg` `flip3--` `frac-2neg` `flip3-+` `diff-log` `distribute-frac-neg` `clear-num` `flip--` `flip-+` `associate-/l/` `associate-/l*`

Counts

4 → 99

Calls

4 calls:

4.0ms	(- (* b b) (* 3.0 (* a c)))
12.0ms	(/ (* (/ a (+ b (sqrt (- (* b b) (* 3.0 (* a c)))))) (neg c)) a)
15.0ms	(* (/ a (+ b (sqrt (- (* b b) (* 3.0 (* a c)))))) (neg c))
5.0ms	(* 3.0 (* a c))

series109.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- (* b b) (* 3.0 (* a c)))
42.0ms	(/ (* (/ 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))

simplify30.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5124	1611

prune158.0ms

Filtered

81 candidates to 111 candidates (-37.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	109	2	111
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	111	8	119

Merged error: 0b

Counts

119 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

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:

6.0ms	(+ b (sqrt (- (* b b) (* 3.0 (* a c)))))
4.0ms	(- (* b b) (* 3.0 (* a c)))
8.0ms	(/ c (+ b (sqrt (- (* b b) (* 3.0 (* a c))))))
5.0ms	(* 3.0 (* a c))

series74.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(+ b (sqrt (- (* b b) (* 3.0 (* a c)))))
10.0ms	(- (* b b) (* 3.0 (* a c)))
45.0ms	(/ c (+ 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 (52.0ms)

Iter	Nodes	Cost
0	4925	1187
1	4925	1187

prune103.0ms

Filtered

61 candidates to 86 candidates (-41.0%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	86	8	94

Merged error: 0b

Counts

94 → 8

regimes195.0ms

Accuracy

0% (0.2b 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	63	15
1	63	15

end0.0ms

sample1.1s

Algorithm

intervals

Results

445.0ms	4528×	body	160	valid
271.0ms	8967×	pre	80	true
182.0ms	3472×	body	80	valid
49.0ms	967×	body	80	nan

Details

analyze270.0ms

sample39.0ms

simplify179.0ms

prune8.0ms

localize10.0ms

rewrite33.0ms

series52.0ms

simplify47.0ms

prune125.0ms

localize15.0ms

rewrite42.0ms

series108.0ms

simplify55.0ms

prune185.0ms

localize15.0ms

rewrite39.0ms

series109.0ms

simplify30.0ms

prune158.0ms

localize10.0ms

rewrite25.0ms

series74.0ms

simplify61.0ms

prune103.0ms

regimes195.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.1s

Profiling