Details

sample130.0ms

Algorithm

intervals

Results

76.0ms	77×	body	5120	exit
19.0ms	256×	body	80	valid
17.0ms	319×	body	80	nan

simplify52.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	5
1	22	5
2	44	5
3	114	5
4	315	5
5	1609	5
6	5001	5

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(sin (pow (sqrt (atan2 b b)) (- b a)))
0.0b	(pow (sqrt (atan2 b b)) (- b a))
1.0b	(sqrt (atan2 b b))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
9×	`*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`pow1` `unpow-prod-down` `sqrt-prod`
5×	`pow-unpow`
4×	`add-exp-log`
3×	`pow-pow` `add-cbrt-cube` `add-log-exp`
2×	`unpow-prod-up` `sqrt-pow1` `pow1/2`
1×	`pow-to-exp` `sub-neg` `rem-sqrt-square` `pow-exp` `sqrt-pow2` `distribute-lft-out--` `pow-sub` `difference-of-squares` `sqr-pow`

Counts

3 → 48

Calls

3 calls:

3.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
5.0ms	(pow (sqrt (atan2 b b)) (- b a))
1.0ms	(sqrt (atan2 b b))

series91.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(sin (pow (sqrt (atan2 b b)) (- b a)))
19.0ms	(pow (sqrt (atan2 b b)) (- b a))
10.0ms	(sqrt (atan2 b b))

simplify46.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 3 (41.0ms)

Iter	Nodes	Cost
0	148	324
1	412	298
2	1345	292
3	5001	290

prune108.0ms

Filtered

57 candidates to 36 candidates (63.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	55	2	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	56	2	58

Merged error: 0.0b

Counts

58 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(sin (pow (atan2 b b) (* 1/2 (- b a))))
0.0b	(pow (atan2 b b) (* 1/2 (- b a)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

4×	`unpow-prod-up`
3×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `add-cbrt-cube` `add-log-exp`
1×	`pow-to-exp` `pow-unpow` `pow-pow` `pow-exp` `sqr-pow`

Counts

2 → 26

Calls

2 calls:

3.0ms	(sin (pow (atan2 b b) (* 1/2 (- b a))))
3.0ms	(pow (atan2 b b) (* 1/2 (- b a)))

series82.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(sin (pow (atan2 b b) (* 1/2 (- b a))))
20.0ms	(pow (atan2 b b) (* 1/2 (- b a)))

simplify59.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 3 (55.0ms)

Iter	Nodes	Cost
0	145	236
1	453	212
2	1900	202
3	5001	195

prune61.0ms

Filtered

32 candidates to 21 candidates (65.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	31	1	32
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	32	2	34

Merged error: 0b

Counts

34 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(sin (cbrt (pow (pow (atan2 b b) (- b a)) 3/2)))
0.0b	(pow (pow (atan2 b b) (- b a)) 3/2)
0.0b	(cbrt (pow (pow (atan2 b b) (- b a)) 3/2))
0.0b	(pow (atan2 b b) (- b a))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

27×	`unpow-prod-down`
14×	`add-sqr-sqrt` `*-un-lft-identity`
13×	`cbrt-prod`
12×	`add-cube-cbrt`
8×	`pow-unpow`
7×	`add-exp-log`
6×	`unpow-prod-up`
5×	`pow1` `pow-exp` `sqr-pow`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow-to-exp` `sub-neg`
2×	`pow-pow`
1×	`pow1/3` `distribute-lft-out--` `pow-sub` `difference-of-squares`

Counts

4 → 75

Calls

4 calls:

5.0ms	(sin (cbrt (pow (pow (atan2 b b) (- b a)) 3/2)))
4.0ms	(pow (pow (atan2 b b) (- b a)) 3/2)
4.0ms	(cbrt (pow (pow (atan2 b b) (- b a)) 3/2))
5.0ms	(pow (atan2 b b) (- b a))

series160.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(sin (cbrt (pow (pow (atan2 b b) (- b a)) 3/2)))
40.0ms	(pow (pow (atan2 b b) (- b a)) 3/2)
32.0ms	(cbrt (pow (pow (atan2 b b) (- b a)) 3/2))
17.0ms	(pow (atan2 b b) (- b a))

simplify94.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 3 (86.0ms)

Iter	Nodes	Cost
0	261	631
1	756	592
2	3154	576
3	5001	551

prune172.0ms

Filtered

87 candidates to 57 candidates (65.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	87	2	89

Merged error: 0b

Counts

89 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(sin (cbrt (pow (atan2 b b) (* (- b a) 3/2))))
0.0b	(cbrt (pow (atan2 b b) (* (- b a) 3/2)))
0.0b	(pow (atan2 b b) (* (- b a) 3/2))
0.0b	(* (- b a) 3/2)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 59

Calls

4 calls:

4.0ms	(sin (cbrt (pow (atan2 b b) (* (- b a) 3/2))))
3.0ms	(cbrt (pow (atan2 b b) (* (- b a) 3/2)))
3.0ms	(pow (atan2 b b) (* (- b a) 3/2))
7.0ms	(* (- b a) 3/2)

series181.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(sin (cbrt (pow (atan2 b b) (* (- b a) 3/2))))
48.0ms	(cbrt (pow (atan2 b b) (* (- b a) 3/2)))
20.0ms	(pow (atan2 b b) (* (- b a) 3/2))
28.0ms	(* (- b a) 3/2)

simplify101.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	250	467
1	963	423
2	4768	407
3	5002	407

prune141.0ms

Filtered

71 candidates to 51 candidates (71.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	71	2	73

Merged error: 0b

Counts

73 → 2

regimes25.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	6
1	10	6

end0.0ms

sample3.3s

Algorithm

intervals

Results

1.7s	1784×	body	5120	exit
601.0ms	7990×	body	80	valid
564.0ms	10149×	body	80	nan
6.0ms	2×	body	5120	valid
2.0ms	3×	body	1280	valid
1.0ms	1×	body	2560	valid
1.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

Details

sample130.0ms

simplify52.0ms

prune2.0ms

localize8.0ms

rewrite11.0ms

series91.0ms

simplify46.0ms

prune108.0ms

localize8.0ms

rewrite7.0ms

series82.0ms

simplify59.0ms

prune61.0ms

localize11.0ms

rewrite20.0ms

series160.0ms

simplify94.0ms

prune172.0ms

localize12.0ms

rewrite17.0ms

series181.0ms

simplify101.0ms

prune141.0ms

regimes25.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.3s

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