Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

352×

body

valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	7
1	18	7

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: 6.3b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

5.9b	(* x (+ 1.0 (* y y)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 22

Calls

1 calls:

7.0ms

(* x (+ 1.0 (* y y)))

series11.0ms

Counts

1 → 3

Calls

1 calls:

11.0ms

(* x (+ 1.0 (* y y)))

simplify42.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5069	206

prune46.0ms

Filtered

17 candidates to 25 candidates (-47.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	21	4	25
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	5	26

Merged error: 6.1b

Counts

26 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (sqrt (+ 1.0 (* y y))))
0.1b	(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
5.9b	(sqrt (+ 1.0 (* y y)))
5.9b	(sqrt (+ 1.0 (* y y)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

7.0ms	(* x (sqrt (+ 1.0 (* y y))))
11.0ms	(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
3.0ms	(sqrt (+ 1.0 (* y y)))
3.0ms	(sqrt (+ 1.0 (* y y)))

series35.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(* x (sqrt (+ 1.0 (* y y))))
12.0ms	(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
4.0ms	(sqrt (+ 1.0 (* y y)))
7.0ms	(sqrt (+ 1.0 (* y y)))

simplify26.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	5153	992

prune157.0ms

Filtered

70 candidates to 95 candidates (-35.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	93	2	95
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	94	6	100

Merged error: 6.1b

Counts

100 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (sqrt (+ 1.0 (* y y))) (* (sqrt (sqrt (+ 1.0 (* y y)))) x))
5.9b	(sqrt (+ 1.0 (* y y)))
5.9b	(sqrt (+ 1.0 (* y y)))
5.9b	(sqrt (+ 1.0 (* y y)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

24×	`sqrt-div`
12×	`pow1` `add-sqr-sqrt` `sqrt-prod`
9×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
8×	`associate-*l/`
6×	`associate-l`
4×	`frac-times` `add-log-exp`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-*r/`
1×	`associate-r` `*-commutative`

Counts

4 → 74

Calls

4 calls:

13.0ms	(* (sqrt (+ 1.0 (* y y))) (* (sqrt (sqrt (+ 1.0 (* y y)))) x))
3.0ms	(sqrt (+ 1.0 (* y y)))
5.0ms	(sqrt (+ 1.0 (* y y)))
3.0ms	(sqrt (+ 1.0 (* y y)))

series51.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (sqrt (+ 1.0 (* y y))) (* (sqrt (sqrt (+ 1.0 (* y y)))) x))
4.0ms	(sqrt (+ 1.0 (* y y)))
4.0ms	(sqrt (+ 1.0 (* y y)))
4.0ms	(sqrt (+ 1.0 (* y y)))

simplify29.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5031	1062

prune230.0ms

Filtered

71 candidates to 86 candidates (-21.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	86	6	92

Merged error: 6.1b

Counts

92 → 6

localize2.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	3	3
Total	6	6

Merged error: 6.1b

Counts

6 → 6

regimes233.0ms

Accuracy

0% (0.2b remaining)

Error of 5.7b against oracle of 5.5b and baseline of 5.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	7
1	8	7

end0.0ms

sample585.0ms

Algorithm

intervals

Results

271.0ms

10754×

body

valid

Details

sample21.0ms

simplify3.0ms

prune2.0ms

localize5.0ms

rewrite8.0ms

series11.0ms

simplify42.0ms

prune46.0ms

localize8.0ms

rewrite27.0ms

series35.0ms

simplify26.0ms

prune157.0ms

localize10.0ms

rewrite26.0ms

series51.0ms

simplify29.0ms

prune230.0ms

localize2.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune0.0ms

regimes233.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample585.0ms

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