Details

analyze64.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
50%	50%	0.1%	6
56.2%	37.5%	6.3%	7
68.7%	25%	6.3%	8
71.8%	18.7%	9.5%	9
78%	12.5%	9.5%	10
79.6%	9.4%	11%	11
82.7%	6.2%	11%	12
83.6%	4.6%	11.8%	13
85.1%	3.1%	11.8%	14

sample13.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
0.0ms	1×	body	80	invalid

simplify20.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	642	11
1	642	11

prune5.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
9×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`sub-neg`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube`
4×	`associate--l+`
3×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `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 → 54

Calls

3 calls:

9.0ms	(+ (- (* x (- y 1.0)) (* y 0.5)) 0.918938533204673)
6.0ms	(- (* x (- y 1.0)) (* y 0.5))
6.0ms	(* x (- y 1.0))

series15.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(+ (- (* x (- y 1.0)) (* y 0.5)) 0.918938533204673)
5.0ms	(- (* x (- y 1.0)) (* y 0.5))
4.0ms	(* x (- y 1.0))

simplify42.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5182	637

prune78.0ms

Filtered

46 candidates to 63 candidates (-37.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	60	3	63
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	60	4	64

Merged error: 0b

Counts

64 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (+ (* x (- y 1.0)) (- 0.918938533204673 (* y 0.5)))) (cbrt (+ (* x (- y 1.0)) (- 0.918938533204673 (* y 0.5)))))
0.5b	(cbrt (+ (* x (- y 1.0)) (- 0.918938533204673 (* y 0.5))))
0.5b	(cbrt (+ (* x (- y 1.0)) (- 0.918938533204673 (* y 0.5))))
0.5b	(cbrt (+ (* x (- y 1.0)) (- 0.918938533204673 (* y 0.5))))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

102×	`cbrt-div`
74×	`associate-*r/`
68×	`flip3--` `frac-add` `flip--`
36×	`frac-times`
25×	`cbrt-prod`
23×	`add-sqr-sqrt`
17×	`flip3-+` `flip-+`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l` `associate-*l/`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 139

Calls

4 calls:

20.0ms	(* (cbrt (+ (* x (- y 1.0)) (- 0.918938533204673 (* y 0.5)))) (cbrt (+ (* x (- y 1.0)) (- 0.918938533204673 (* y 0.5)))))
9.0ms	(cbrt (+ (* x (- y 1.0)) (- 0.918938533204673 (* y 0.5))))
8.0ms	(cbrt (+ (* x (- y 1.0)) (- 0.918938533204673 (* y 0.5))))
8.0ms	(cbrt (+ (* x (- y 1.0)) (- 0.918938533204673 (* y 0.5))))

series75.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (cbrt (+ (* x (- y 1.0)) (- 0.918938533204673 (* y 0.5)))) (cbrt (+ (* x (- y 1.0)) (- 0.918938533204673 (* y 0.5)))))
15.0ms	(cbrt (+ (* x (- y 1.0)) (- 0.918938533204673 (* y 0.5))))
16.0ms	(cbrt (+ (* x (- y 1.0)) (- 0.918938533204673 (* y 0.5))))
16.0ms	(cbrt (+ (* x (- y 1.0)) (- 0.918938533204673 (* y 0.5))))

simplify68.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5037	6891

prune543.0ms

Filtered

114 candidates to 151 candidates (-32.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	151	0	151
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	151	4	155

Merged error: 0b

Counts

155 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (sqrt x) (* (- y 1.0) (sqrt x))) (* y 0.5))
0.0b	(+ (- (* (sqrt x) (* (- y 1.0) (sqrt x))) (* y 0.5)) 0.918938533204673)
0.1b	(* (- y 1.0) (sqrt x))
0.2b	(* (sqrt x) (* (- y 1.0) (sqrt x)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
11×	`pow1` `add-exp-log` `associate-l` `add-cbrt-cube` `add-log-exp`
9×	`add-cube-cbrt`
7×	`associate-r` `sqrt-prod`
4×	`pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
3×	`flip3--` `flip--`
2×	`sub-neg` `diff-log` `associate-r/` `sum-log` `-commutative` `unswap-sqr`
1×	`+-commutative` `associate-+l-` `associate-+l+` `flip3-+` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 75

Calls

4 calls:

10.0ms	(- (* (sqrt x) (* (- y 1.0) (sqrt x))) (* y 0.5))
12.0ms	(+ (- (* (sqrt x) (* (- y 1.0) (sqrt x))) (* y 0.5)) 0.918938533204673)
7.0ms	(* (- y 1.0) (sqrt x))
10.0ms	(* (sqrt x) (* (- y 1.0) (sqrt x)))

series31.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- (* (sqrt x) (* (- y 1.0) (sqrt x))) (* y 0.5))
10.0ms	(+ (- (* (sqrt x) (* (- y 1.0) (sqrt x))) (* y 0.5)) 0.918938533204673)
6.0ms	(* (- y 1.0) (sqrt x))
6.0ms	(* (sqrt x) (* (- y 1.0) (sqrt x)))

simplify63.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4943	890
1	4943	890

prune91.0ms

Filtered

65 candidates to 87 candidates (-33.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	87	4	91

Merged error: 0b

Counts

91 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
24×	`sqrt-prod`
23×	`pow1`
18×	`*-un-lft-identity`
16×	`add-cube-cbrt` `sqrt-div`
11×	`associate-r`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3--` `associate-l` `flip--`
8×	`add-exp-log` `swap-sqr` `add-cbrt-cube`
5×	`pow-prod-up` `unswap-sqr`
4×	`frac-times` `associate-*r/` `pow-prod-down` `add-log-exp`
3×	`pow-sqr`
2×	`sub-neg` `rem-sqrt-square` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 111

Calls

4 calls:

6.0ms	(* x (- y 1.0))
6.0ms	(sqrt (- (* x (- y 1.0)) (* y 0.5)))
8.0ms	(sqrt (- (* x (- y 1.0)) (* y 0.5)))
17.0ms	(* (sqrt (- (* x (- y 1.0)) (* y 0.5))) (sqrt (- (* x (- y 1.0)) (* y 0.5))))

series49.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* x (- y 1.0))
20.0ms	(sqrt (- (* x (- y 1.0)) (* y 0.5)))
20.0ms	(sqrt (- (* x (- y 1.0)) (* y 0.5)))
5.0ms	(* (sqrt (- (* x (- y 1.0)) (* y 0.5))) (sqrt (- (* x (- y 1.0)) (* y 0.5))))

simplify51.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4930	1623
1	4930	1623

prune147.0ms

Filtered

72 candidates to 123 candidates (-70.8%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	123	4	127

Merged error: 0b

Counts

127 → 4

regimes157.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	47	11
1	47	11

end0.0ms

sample339.0ms

Algorithm

intervals

Results

218.0ms	7999×	body	80	valid
5.0ms	76×	body	80	invalid
0.0ms	1×	body	640	valid

Details

analyze64.0ms

sample13.0ms

simplify20.0ms

prune5.0ms

localize7.0ms

rewrite22.0ms

series15.0ms

simplify42.0ms

prune78.0ms

localize12.0ms

rewrite55.0ms

series75.0ms

simplify68.0ms

prune543.0ms

localize12.0ms

rewrite41.0ms

series31.0ms

simplify63.0ms

prune91.0ms

localize9.0ms

rewrite40.0ms

series49.0ms

simplify51.0ms

prune147.0ms

regimes157.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample339.0ms

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