Details

sample19.0ms

Algorithm

intervals

Results

7.0ms

284×

body

valid

simplify38.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	5
1	42	5
2	87	5
3	175	5
4	310	5
5	500	5
6	720	5
7	948	5
8	1148	5
9	1148	5

prune3.0ms

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

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (- y 1.0))
0.0b	(+ (- (* x (- y 1.0)) (* y 0.5)) 0.918938533204673)
0.0b	(- (* x (- y 1.0)) (* y 0.5))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
9×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`sub-neg` `associate--l+`
6×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube`
3×	`associate-l`
2×	`flip3--` `diff-log` `associate-*r/` `sum-log` `flip--`
1×	`+-commutative` `associate-+l-` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 62

Calls

3 calls:

6.0ms	(* x (- y 1.0))
13.0ms	(+ (- (* x (- y 1.0)) (* y 0.5)) 0.918938533204673)
6.0ms	(- (* x (- y 1.0)) (* y 0.5))

series104.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(* x (- y 1.0))
30.0ms	(+ (- (* x (- y 1.0)) (* y 0.5)) 0.918938533204673)
31.0ms	(- (* x (- y 1.0)) (* y 0.5))

simplify93.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	262	366
1	880	336
2	3787	332
3	5002	332

prune175.0ms

Filtered

71 candidates to 45 candidates (36.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	69	2	71
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	69	3	72

Merged error: 0.0b

Counts

72 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* (sqrt x) (* (sqrt x) (- y 1.0))) (* y 0.5))
0.1b	(* (sqrt x) (- y 1.0))
0.2b	(* (sqrt x) (* (sqrt x) (- y 1.0)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

18×	`distribute-rgt-in` `distribute-lft-in`
14×	`add-sqr-sqrt`
12×	`associate-l`
11×	`sub-neg`
10×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
8×	`add-cube-cbrt` `associate--l+`
7×	`sqrt-prod`
6×	`associate-r/` `associate-r*`
5×	`add-log-exp`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`flip3--` `flip--`
2×	`*-commutative` `unswap-sqr`
1×	`diff-log` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 81

Calls

3 calls:

10.0ms	(- (* (sqrt x) (* (sqrt x) (- y 1.0))) (* y 0.5))
7.0ms	(* (sqrt x) (- y 1.0))
9.0ms	(* (sqrt x) (* (sqrt x) (- y 1.0)))

series237.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(- (* (sqrt x) (* (sqrt x) (- y 1.0))) (* y 0.5))
77.0ms	(* (sqrt x) (- y 1.0))
69.0ms	(* (sqrt x) (* (sqrt x) (- y 1.0)))

simplify46.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	360	523
1	1452	452
2	5001	445

prune364.0ms

Filtered

90 candidates to 56 candidates (37.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	90	3	93

Merged error: 0.0b

Counts

93 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (sqrt (* x (- y 1.0))) (sqrt (* x (- y 1.0)))) (* y 0.5))
0.0b	(sqrt (* x (- y 1.0)))
0.0b	(sqrt (* x (- y 1.0)))
0.2b	(* (sqrt (* x (- y 1.0))) (sqrt (* x (- y 1.0))))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

59×	`pow1`
32×	`sqrt-pow1`
22×	`pow-prod-down`
18×	`associate-*r/`
16×	`sqrt-div`
12×	`pow1/2`
10×	`add-sqr-sqrt` `pow-prod-up`
9×	`flip3--` `flip--`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log` `sqrt-prod` `pow-sqr` `add-cbrt-cube` `add-log-exp`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l`
2×	`associate-*l/`
1×	`pow2` `sub-neg` `pow-plus` `sqrt-unprod` `diff-log` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 95

Calls

4 calls:

14.0ms	(- (* (sqrt (* x (- y 1.0))) (sqrt (* x (- y 1.0)))) (* y 0.5))
4.0ms	(sqrt (* x (- y 1.0)))
4.0ms	(sqrt (* x (- y 1.0)))
15.0ms	(* (sqrt (* x (- y 1.0))) (sqrt (* x (- y 1.0))))

series234.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(- (* (sqrt (* x (- y 1.0))) (sqrt (* x (- y 1.0)))) (* y 0.5))
80.0ms	(sqrt (* x (- y 1.0)))
82.0ms	(sqrt (* x (- y 1.0)))
39.0ms	(* (sqrt (* x (- y 1.0))) (sqrt (* x (- y 1.0))))

simplify45.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	280	629
1	1122	539
2	5001	516

prune345.0ms

Filtered

107 candidates to 62 candidates (42.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	107	3	110

Merged error: 0.0b

Counts

110 → 3

regimes149.0ms

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	13	5
1	13	5

end0.0ms

sample448.0ms

Algorithm

intervals

Results

235.0ms	9187×	body	80	valid
0.0ms	3×	body	1280	valid
0.0ms	1×	body	640	valid

Details

sample19.0ms

simplify38.0ms

prune3.0ms

localize7.0ms

rewrite27.0ms

series104.0ms

simplify93.0ms

prune175.0ms

localize9.0ms

rewrite28.0ms

series237.0ms

simplify46.0ms

prune364.0ms

localize9.0ms

rewrite41.0ms

series234.0ms

simplify45.0ms

prune345.0ms

regimes149.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample448.0ms

Profiling