Details

analyze67.0ms

Algorithm: search

sample15.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
0.0ms	1×	body	80	invalid

simplify39.0ms

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

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

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 42

Calls

2 calls:

6.0ms	(- (* x (- y 1.0)) (* y 0.5))
7.0ms	(* x (- y 1.0))

series10.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(- (* x (- y 1.0)) (* y 0.5))
5.0ms	(* x (- y 1.0))

simplify71.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	186	217
1	673	197
2	2659	196
3	5002	196

prune53.0ms

Filtered

29 candidates to 48 candidates (-65.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	46	2	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	3	49

Merged error: 0.0b

Counts

49 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- y 1.0))
0.2b	(cbrt (- y 1.0))
0.2b	(cbrt (- y 1.0))
0.2b	(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

3.0ms	(cbrt (- y 1.0))
3.0ms	(cbrt (- y 1.0))
3.0ms	(cbrt (- y 1.0))
10.0ms	(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))

series34.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(cbrt (- y 1.0))
7.0ms	(cbrt (- y 1.0))
10.0ms	(cbrt (- y 1.0))
10.0ms	(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))

simplify43.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	368	950
1	1216	913
2	5001	852

prune236.0ms

Filtered

81 candidates to 113 candidates (-39.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	113	3	116

Merged error: 0.0b

Counts

116 → 3

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 76

Calls

3 calls:

14.0ms	(- (* (* x (+ (sqrt y) (sqrt 1.0))) (- (sqrt y) (sqrt 1.0))) (* y 0.5))
9.0ms	(* x (+ (sqrt y) (sqrt 1.0)))
14.0ms	(* (* x (+ (sqrt y) (sqrt 1.0))) (- (sqrt y) (sqrt 1.0)))

series38.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(- (* (* x (+ (sqrt y) (sqrt 1.0))) (- (sqrt y) (sqrt 1.0))) (* y 0.5))
8.0ms	(* x (+ (sqrt y) (sqrt 1.0)))
20.0ms	(* (* x (+ (sqrt y) (sqrt 1.0))) (- (sqrt y) (sqrt 1.0)))

simplify76.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	518	835
1	2890	652
2	5003	640

prune130.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	84	4	88

Merged error: 0.0b

Counts

88 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- (sqrt y) (sqrt 1.0)))
0.1b	(* (* x (+ (sqrt y) (sqrt 1.0))) (sqrt (- (sqrt y) (sqrt 1.0))))
0.1b	(* x (+ (sqrt y) (sqrt 1.0)))
0.1b	(* (* (* x (+ (sqrt y) (sqrt 1.0))) (sqrt (- (sqrt y) (sqrt 1.0)))) (sqrt (- (sqrt y) (sqrt 1.0))))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

47×	`sqrt-prod`
44×	`sqrt-div`
38×	`add-sqr-sqrt`
36×	`associate-*r/`
32×	`frac-times`
29×	`associate-r`
27×	`*-un-lft-identity`
22×	`flip3--` `flip--`
21×	`pow1`
20×	`add-exp-log` `add-cbrt-cube`
16×	`associate-*l/`
13×	`flip3-+` `flip-+`
12×	`difference-of-squares`
11×	`add-cube-cbrt`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`distribute-lft-out--`
5×	`associate-l`
4×	`add-log-exp`
3×	`*-commutative`
2×	`distribute-lft-out`
1×	`distribute-rgt-in` `rem-sqrt-square` `distribute-lft-in` `sqrt-pow1` `pow1/2` `unswap-sqr`

Counts

4 → 136

Calls

4 calls:

6.0ms	(sqrt (- (sqrt y) (sqrt 1.0)))
15.0ms	(* (* x (+ (sqrt y) (sqrt 1.0))) (sqrt (- (sqrt y) (sqrt 1.0))))
8.0ms	(* x (+ (sqrt y) (sqrt 1.0)))
23.0ms	(* (* (* x (+ (sqrt y) (sqrt 1.0))) (sqrt (- (sqrt y) (sqrt 1.0)))) (sqrt (- (sqrt y) (sqrt 1.0))))

series105.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(sqrt (- (sqrt y) (sqrt 1.0)))
61.0ms	(* (* x (+ (sqrt y) (sqrt 1.0))) (sqrt (- (sqrt y) (sqrt 1.0))))
14.0ms	(* x (+ (sqrt y) (sqrt 1.0)))
23.0ms	(* (* (* x (+ (sqrt y) (sqrt 1.0))) (sqrt (- (sqrt y) (sqrt 1.0)))) (sqrt (- (sqrt y) (sqrt 1.0))))

simplify45.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	959	2321
1	5001	1994

prune342.0ms

Filtered

100 candidates to 148 candidates (-48.0%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	148	0	148
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	148	4	152

Merged error: 0.0b

Counts

152 → 4

regimes166.0ms

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

analyze66.0ms

Algorithm: search

sample378.0ms

Algorithm

intervals

Results

245.0ms	7999×	body	80	valid
2.0ms	72×	body	80	invalid
0.0ms	1×	body	640	valid

Details

analyze67.0ms

sample15.0ms

simplify39.0ms

prune3.0ms

localize9.0ms

rewrite15.0ms

series10.0ms

simplify71.0ms

prune53.0ms

localize10.0ms

rewrite22.0ms

series34.0ms

simplify43.0ms

prune236.0ms

localize11.0ms

rewrite40.0ms

series38.0ms

simplify76.0ms

prune130.0ms

localize13.0ms

rewrite59.0ms

series105.0ms

simplify45.0ms

prune342.0ms

regimes166.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze66.0ms

sample378.0ms

Profiling