Details

sample22.0ms

Algorithm

intervals

Results

9.0ms

438×

body

valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	3
1	6	3

prune2.0ms

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

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* x x) (* y y))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 11

Calls

1 calls:

3.0ms

(+ (* x x) (* y y))

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(+ (* x x) (* y y))

simplify42.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	101	77
1	465	66
2	1240	66
3	5001	66

prune23.0ms

Filtered

11 candidates to 14 candidates (-27.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	2	15

Merged error: 0.0b

Counts

15 → 2

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) (* y y))
0.0b	(* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
8.2b	(sqrt (+ (* x x) (* y y)))
8.2b	(sqrt (+ (* x x) (* y y)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

4.0ms	(+ (* x x) (* y y))
10.0ms	(* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
3.0ms	(sqrt (+ (* x x) (* y y)))
3.0ms	(sqrt (+ (* x x) (* y y)))

series22.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(+ (* x x) (* y y))
5.0ms	(* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
5.0ms	(sqrt (+ (* x x) (* y y)))
6.0ms	(sqrt (+ (* x x) (* y y)))

simplify213.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	198	720
1	892	654
2	4766	634
3	5001	634

prune79.0ms

Filtered

65 candidates to 110 candidates (-69.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	109	3	112

Merged error: 0b

Counts

112 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (sqrt (sqrt (+ (* x x) (* y y)))))
0.6b	(pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)
8.2b	(sqrt (+ (* x x) (* y y)))
8.2b	(sqrt (+ (* x x) (* y y)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

93×	`sqrt-prod`
70×	`add-sqr-sqrt`
32×	`sqrt-div`
27×	`unpow-prod-down` `cube-prod`
24×	`associate-l` `unswap-sqr`
23×	`add-cube-cbrt` `*-un-lft-identity`
10×	`pow1` `add-exp-log`
9×	`flip3-+` `associate-r` `flip-+`
8×	`cube-div`
7×	`add-cbrt-cube`
6×	`sqrt-pow1`
5×	`pow-pow` `sqr-pow`
4×	`frac-times` `pow1/2` `add-log-exp`
3×	`pow-unpow` `prod-exp`
2×	`cube-mult` `pow-to-exp` `rem-sqrt-square` `unpow3` `associate-r/` `associate-l/` `pow-exp`
1×	`pow-plus` `*-commutative` `pow-prod-up` `sqrt-pow2` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 151

Calls

4 calls:

16.0ms	(* (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (sqrt (sqrt (+ (* x x) (* y y)))))
6.0ms	(pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)
4.0ms	(sqrt (+ (* x x) (* y y)))
3.0ms	(sqrt (+ (* x x) (* y y)))

series48.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (sqrt (sqrt (+ (* x x) (* y y)))))
28.0ms	(pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)
6.0ms	(sqrt (+ (* x x) (* y y)))
9.0ms	(sqrt (+ (* x x) (* y y)))

simplify73.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	422	1696
1	1978	1401
2	5001	1250

prune127.0ms

Filtered

84 candidates to 163 candidates (-94.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	163	0	163
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	163	3	166

Merged error: 0b

Counts

166 → 3

regimes175.0ms

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	6	3
1	6	3

end0.0ms

sample636.0ms

Algorithm

intervals

Results

299.0ms

14124×

body

valid

Details

sample22.0ms

simplify3.0ms

prune2.0ms

localize4.0ms

rewrite4.0ms

series6.0ms

simplify42.0ms

prune23.0ms

localize7.0ms

rewrite23.0ms

series22.0ms

simplify213.0ms

prune79.0ms

localize10.0ms

rewrite35.0ms

series48.0ms

simplify73.0ms

prune127.0ms

regimes175.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample636.0ms

Profiling