Details

analyze71.0ms

Algorithm: search

sample13.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	3×	body	80	nan

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	3
1	6	3

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: 20.3b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) y)
18.9b	(sqrt (+ (* x x) y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `add-log-exp`
3×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
2×	`add-exp-log` `flip3-+` `sqrt-div` `add-cbrt-cube` `flip-+`
1×	`+-commutative` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `sum-log`

Counts

2 → 26

Calls

2 calls:

6.0ms	(+ (* x x) y)
4.0ms	(sqrt (+ (* x x) y))

series9.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(+ (* x x) y)
6.0ms	(sqrt (+ (* x x) y))

simplify48.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 3 (44.0ms)

Iter	Nodes	Cost
0	139	151
1	485	141
2	1555	139
3	5002	138

prune46.0ms

Filtered

25 candidates to 32 candidates (-28.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	28	4	32
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	5	33

Merged error: 0.0b

Counts

33 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (cbrt (+ (* x x) y)))
0.3b	(* (fabs (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))))
19.8b	(cbrt (+ (* x x) y))
19.8b	(cbrt (+ (* x x) y))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

4.0ms	(sqrt (cbrt (+ (* x x) y)))
8.0ms	(* (fabs (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))))
4.0ms	(cbrt (+ (* x x) y))
4.0ms	(cbrt (+ (* x x) y))

series81.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(sqrt (cbrt (+ (* x x) y)))
28.0ms	(* (fabs (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))))
16.0ms	(cbrt (+ (* x x) y))
17.0ms	(cbrt (+ (* x x) y))

simplify86.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 3 (76.0ms)

Iter	Nodes	Cost
0	280	777
1	890	734
2	3434	706
3	5001	673

prune107.0ms

Filtered

72 candidates to 86 candidates (-19.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	86	5	91

Merged error: 0b

Counts

91 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

19.8b	(cbrt (+ (* x x) y))
19.8b	(cbrt (+ (* x x) y))
19.8b	(cbrt (+ (* x x) y))
19.8b	(cbrt (+ (* x x) y))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

4.0ms	(cbrt (+ (* x x) y))
4.0ms	(cbrt (+ (* x x) y))
4.0ms	(cbrt (+ (* x x) y))
4.0ms	(cbrt (+ (* x x) y))

series69.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(cbrt (+ (* x x) y))
16.0ms	(cbrt (+ (* x x) y))
16.0ms	(cbrt (+ (* x x) y))
17.0ms	(cbrt (+ (* x x) y))

simplify149.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 4 (143.0ms)

Iter	Nodes	Cost
0	134	464
1	330	436
2	928	412
3	4155	380
4	5001	376

prune89.0ms

Filtered

52 candidates to 64 candidates (-23.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	64	5	69

Merged error: 0b

Counts

69 → 5

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* 1/2 (/ y x)))
0.0b	(* 1/2 (/ y x))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-r`
10×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`associate-l`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `associate-r/` `div-exp` `pow-prod-down` `sum-log` `-commutative` `flip-+` `div-inv`

Counts

2 → 43

Calls

2 calls:

2.0ms	(+ x (* 1/2 (/ y x)))
7.0ms	(* 1/2 (/ y x))

series7.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(+ x (* 1/2 (/ y x)))
3.0ms	(* 1/2 (/ y x))

simplify96.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	223	199
1	960	186
2	4224	186
3	5001	186

prune43.0ms

Filtered

34 candidates to 49 candidates (-44.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	49	5	54

Merged error: 0b

Counts

54 → 5

regimes366.0ms

Accuracy

99.3% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 21.6b

bsearch54.0ms

Steps

Iters	Range		Point
7	2.087390403195104e+92	5.472752999251672e+93	5.395985998834904e+93
8	-1.4374669008308354e+156	-1.3585871414199479e+153	-1.3654192284469542e+154

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	9
1	22	9

end0.0ms

analyze76.0ms

Algorithm: search

sample342.0ms

Algorithm

intervals

Results

209.0ms	8000×	body	80	valid
4.0ms	173×	body	80	nan

Details

analyze71.0ms

sample13.0ms

simplify3.0ms

prune3.0ms

localize4.0ms

rewrite10.0ms

series9.0ms

simplify48.0ms

prune46.0ms

localize11.0ms

rewrite22.0ms

series81.0ms

simplify86.0ms

prune107.0ms

localize16.0ms

rewrite16.0ms

series69.0ms

simplify149.0ms

prune89.0ms

localize4.0ms

rewrite10.0ms

series7.0ms

simplify96.0ms

prune43.0ms

regimes366.0ms

bsearch54.0ms

simplify1.0ms

end0.0ms

analyze76.0ms

sample342.0ms

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