Details

analyze267.0ms

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

15.0ms	164×	body	160	valid
7.0ms	271×	pre	80	true
4.0ms	29×	body	320	valid
3.0ms	63×	body	80	valid
1.0ms	15×	body	80	nan

simplify181.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (179.0ms)

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: 41.6b

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))
37.9b	(- (sqrt (- (* b b) (* 3.0 (* a c)))) b)

rewrite32.0ms

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))
7.0ms	(* 3.0 (* a c))
7.0ms	(- (sqrt (- (* b b) (* 3.0 (* a c)))) b)

series52.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify47.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5461	1199

prune118.0ms

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 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))

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:

5.0ms	(* 3.0 (* a c))
5.0ms	(* 3.0 (* a (neg c)))
12.0ms	(/ (* 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))

series103.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* 3.0 (* a c))
3.0ms	(* 3.0 (* a (neg c)))
52.0ms	(/ (* 3.0 (* a (neg c))) (+ b (sqrt (- (* b b) (* 3.0 (* a 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 (39.0ms)

Iter	Nodes	Cost
0	4983	1982
1	4983	1982

prune177.0ms

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	2	0	2
Picked	1	0	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	(/ c (+ b (sqrt (- (* b b) (* 3.0 (* a c))))))
0.1b	(- (* 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:

7.0ms	(/ c (+ b (sqrt (- (* b b) (* 3.0 (* a c))))))
4.0ms	(- (* b b) (* 3.0 (* a c)))
6.0ms	(+ b (sqrt (- (* 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))))))
8.0ms	(- (* b b) (* 3.0 (* a c)))
14.0ms	(+ b (sqrt (- (* b b) (* 3.0 (* a c)))))
6.0ms	(* 3.0 (* a c))

simplify62.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4925	1187
1	4925	1187

prune132.0ms

Filtered

61 candidates to 86 candidates (-41.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	87	7	94

Merged error: 0b

Counts

94 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ b (sqrt (- (* b b) (* 3.0 (* a c)))))
0.2b	(/ (+ b (sqrt (- (* b b) (* 3.0 (* a c))))) c)
0.2b	(/ 1 (/ (+ b (sqrt (- (* b b) (* 3.0 (* a c))))) c))
0.3b	(* 3.0 (* a c))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

108×	`times-frac`
97×	`*-un-lft-identity`
63×	`add-sqr-sqrt` `add-cube-cbrt`
22×	`add-exp-log`
19×	`associate-/r*`
17×	`distribute-lft-out`
16×	`add-cbrt-cube`
10×	`pow1`
8×	`div-exp`
7×	`associate-/l*`
6×	`div-inv` `add-log-exp`
4×	`cbrt-undiv`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`rec-exp` `frac-2neg` `flip3-+` `1-exp` `clear-num` `flip-+` `associate-/l/`
1×	`+-commutative` `pow-flip` `associate-r` `sum-log` `associate-/r/` `*-commutative` `inv-pow`

Counts

4 → 151

Calls

4 calls:

6.0ms	(+ b (sqrt (- (* b b) (* 3.0 (* a c)))))
8.0ms	(/ (+ b (sqrt (- (* b b) (* 3.0 (* a c))))) c)
10.0ms	(/ 1 (/ (+ b (sqrt (- (* b b) (* 3.0 (* a c))))) c))
5.0ms	(* 3.0 (* a c))

series64.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(+ b (sqrt (- (* b b) (* 3.0 (* a c)))))
16.0ms	(/ (+ b (sqrt (- (* b b) (* 3.0 (* a c))))) c)
30.0ms	(/ 1 (/ (+ b (sqrt (- (* b b) (* 3.0 (* a c))))) c))
3.0ms	(* 3.0 (* a c))

simplify75.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4943	3139
1	4943	3139

prune195.0ms

Filtered

100 candidates to 163 candidates (-63.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	163	0	163
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	163	7	170

Merged error: 0b

Counts

170 → 7

regimes181.0ms

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

458.0ms	4789×	body	160	valid
250.0ms	8885×	pre	80	true
207.0ms	1413×	body	320	valid
90.0ms	1798×	body	80	valid
45.0ms	885×	body	80	nan

Details

analyze267.0ms

sample41.0ms

simplify181.0ms

prune8.0ms

localize10.0ms

rewrite32.0ms

series52.0ms

simplify47.0ms

prune118.0ms

localize14.0ms

rewrite40.0ms

series103.0ms

simplify54.0ms

prune177.0ms

localize11.0ms

rewrite24.0ms

series73.0ms

simplify62.0ms

prune132.0ms

localize13.0ms

rewrite39.0ms

series64.0ms

simplify75.0ms

prune195.0ms

regimes181.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.2s

Profiling