Details

sample308.0ms

Algorithm

intervals

Results

7.0ms

324×

body

valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	2
1	15	2
2	15	2

prune5.0ms

Filtered

1 candidates to 0 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ x y) z)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`associate-l`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube`
2×	`associate-*l/`
1×	`flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `add-log-exp` `unswap-sqr`

Counts

1 → 21

Calls

1 calls:

8.0ms

(* (+ x y) z)

series52.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

(* (+ x y) z)

simplify41.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	106	84
1	411	72
2	1811	72
3	5003	72

prune37.0ms

Filtered

24 candidates to 16 candidates (33.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	23	1	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	23	2	25

Merged error: 0.0b

Counts

25 → 2

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ x y))
0.0b	(sqrt (+ x y))
0.1b	(* (sqrt (+ x y)) z)
0.1b	(* (sqrt (+ x y)) (* (sqrt (+ x y)) z))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
18×	`sqrt-div`
17×	`add-sqr-sqrt` `sqrt-prod`
14×	`associate-l`
13×	`pow1`
11×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
10×	`associate-*l/`
9×	`flip3-+` `flip-+`
4×	`frac-times` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `distribute-lft-out` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-r/` `-commutative` `unswap-sqr`

Counts

4 → 87

Calls

4 calls:

6.0ms	(sqrt (+ x y))
3.0ms	(sqrt (+ x y))
6.0ms	(* (sqrt (+ x y)) z)
10.0ms	(* (sqrt (+ x y)) (* (sqrt (+ x y)) z))

series336.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(sqrt (+ x y))
62.0ms	(sqrt (+ x y))
112.0ms	(* (sqrt (+ x y)) z)
99.0ms	(* (sqrt (+ x y)) (* (sqrt (+ x y)) z))

simplify42.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	348	560
1	1350	501
2	5001	497

prune298.0ms

Filtered

99 candidates to 69 candidates (30.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	98	3	101

Merged error: 0.0b

Counts

101 → 3

localize26.0ms

Local error

Found 4 expressions with local error:

5.9b	(/ (* (sqrt (+ (pow x 3) (pow y 3))) (* (sqrt (- (* x x) (* y y))) z)) (* (sqrt (+ (* x x) (- (* y y) (* x y)))) (sqrt (- x y))))
12.7b	(sqrt (- (* x x) (* y y)))
12.7b	(sqrt (+ (pow x 3) (pow y 3)))
23.6b	(sqrt (+ (* x x) (- (* y y) (* x y))))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

30×	`sqrt-div`
25×	`add-exp-log` `add-cbrt-cube`
17×	`*-un-lft-identity`
16×	`sqrt-prod`
10×	`add-sqr-sqrt` `associate-*l/`
9×	`prod-exp` `cbrt-unprod`
8×	`frac-times` `flip3-+` `associate-/r/` `flip-+` `associate-/l/`
7×	`pow1` `add-cube-cbrt` `flip3--` `flip--`
6×	`cbrt-undiv` `div-exp`
5×	`distribute-lft-out`
4×	`unpow-prod-down` `cube-prod` `associate-*r/` `add-log-exp`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`frac-2neg` `times-frac` `clear-num` `associate-/r` `sum-cubes` `div-inv` `associate-/l` `difference-of-squares`

Counts

4 → 93

Calls

4 calls:

30.0ms	(/ (* (sqrt (+ (pow x 3) (pow y 3))) (* (sqrt (- (* x x) (* y y))) z)) (* (sqrt (+ (* x x) (- (* y y) (* x y)))) (sqrt (- x y))))
3.0ms	(sqrt (- (* x x) (* y y)))
10.0ms	(sqrt (+ (pow x 3) (pow y 3)))
5.0ms	(sqrt (+ (* x x) (- (* y y) (* x y))))

series508.0ms

Counts

4 → 12

Calls

4 calls:

230.0ms	(/ (* (sqrt (+ (pow x 3) (pow y 3))) (* (sqrt (- (* x x) (* y y))) z)) (* (sqrt (+ (* x x) (- (* y y) (* x y)))) (sqrt (- x y))))
58.0ms	(sqrt (- (* x x) (* y y)))
144.0ms	(sqrt (+ (pow x 3) (pow y 3)))
75.0ms	(sqrt (+ (* x x) (- (* y y) (* x y))))

simplify83.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	645	1469
1	3270	1301
2	5002	1301

prune589.0ms

Filtered

105 candidates to 79 candidates (24.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	105	3	108

Merged error: 0.0b

Counts

108 → 3

regimes234.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	2
1	7	2

end0.0ms

sample486.0ms

Algorithm

intervals

Results

173.0ms

10038×

body

valid

Details

sample308.0ms

simplify10.0ms

prune5.0ms

localize6.0ms

rewrite10.0ms

series52.0ms

simplify41.0ms

prune37.0ms

localize6.0ms

rewrite29.0ms

series336.0ms

simplify42.0ms

prune298.0ms

localize26.0ms

rewrite53.0ms

series508.0ms

simplify83.0ms

prune589.0ms

regimes234.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample486.0ms

Profiling