Details

sample56.0ms

Algorithm

intervals

Results

22.0ms	49×	body	1280	valid
11.0ms	39×	body	640	valid
9.0ms	145×	body	80	valid
3.0ms	13×	body	320	valid
1.0ms	10×	body	160	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

prune3.0ms

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: 0.1b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x (cos y)) (* z (sin y)))
0.1b	(* x (cos y))
0.1b	(* z (sin y))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
7×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
6×	`associate-r` `associate-l`
5×	`add-log-exp`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

3 → 47

Calls

3 calls:

4.0ms	(+ (* x (cos y)) (* z (sin y)))
7.0ms	(* x (cos y))
4.0ms	(* z (sin y))

series144.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(+ (* x (cos y)) (* z (sin y)))
36.0ms	(* x (cos y))
37.0ms	(* z (sin y))

simplify74.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	183	248
1	698	227
2	2213	227
3	5001	227

prune137.0ms

Filtered

56 candidates to 39 candidates (69.6%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	43	13	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	44	13	57

Merged error: 0.0b

Counts

57 → 13

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (cos y)) (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `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 → 73

Calls

4 calls:

6.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series463.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
99.0ms	(cbrt (cos y))
101.0ms	(cbrt (cos y))
99.0ms	(cbrt (cos y))

simplify104.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (97.0ms)

Iter	Nodes	Cost
0	122	441
1	481	389
2	3180	357
3	5001	351

prune241.0ms

Filtered

85 candidates to 60 candidates (70.6%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	0	12	12
Picked	1	0	1
Done	0	0	0
Total	84	14	98

Merged error: 0.0b

Counts

98 → 14

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
0.2b	(pow (cos y) 2)
0.3b	(cbrt (pow (cos y) 2))
0.3b	(cbrt (cos y))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`pow1` `add-exp-log`
6×	`unpow-prod-down` `associate-r` `add-cbrt-cube`
4×	`add-log-exp`
3×	`pow-unpow` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow1/3` `unpow2` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `associate-l` `pow-exp` `*-commutative`

Counts

4 → 66

Calls

4 calls:

7.0ms	(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
2.0ms	(pow (cos y) 2)
2.0ms	(cbrt (pow (cos y) 2))
1.0ms	(cbrt (cos y))

series328.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
23.0ms	(pow (cos y) 2)
166.0ms	(cbrt (pow (cos y) 2))
102.0ms	(cbrt (cos y))

simplify41.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	233	421
1	1070	364
2	5001	345

prune217.0ms

Filtered

78 candidates to 51 candidates (65.4%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	2	11	13
Picked	0	1	1
Done	0	0	0
Total	79	13	92

Merged error: 0.0b

Counts

92 → 13

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (pow (cbrt (cos y)) 2))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cbrt (cos y)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

29×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
1×	`unpow2` `sqr-pow`

Counts

4 → 55

Calls

4 calls:

3.0ms	(cbrt (pow (cbrt (cos y)) 2))
5.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cbrt (cos y)))

series425.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(cbrt (pow (cbrt (cos y)) 2))
101.0ms	(cbrt (cos y))
103.0ms	(cbrt (cos y))
104.0ms	(cbrt (cbrt (cos y)))

simplify66.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	152	353
1	436	330
2	1430	311
3	5001	311

prune252.0ms

Filtered

67 candidates to 51 candidates (76.1%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	66	1	67
Fresh	0	11	11
Picked	1	0	1
Done	0	1	1
Total	67	13	80

Merged error: 0.0b

Counts

80 → 13

regimes159.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	10
1	17	10

end0.0ms

sample1.7s

Algorithm

intervals

Results

723.0ms	1570×	body	1280	valid
351.0ms	1187×	body	640	valid
293.0ms	4326×	body	80	valid
122.0ms	610×	body	320	valid
48.0ms	307×	body	160	valid

Details

sample56.0ms

simplify4.0ms

prune3.0ms

localize10.0ms

rewrite16.0ms

series144.0ms

simplify74.0ms

prune137.0ms

localize17.0ms

rewrite12.0ms

series463.0ms

simplify104.0ms

prune241.0ms

localize16.0ms

rewrite15.0ms

series328.0ms

simplify41.0ms

prune217.0ms

localize23.0ms

rewrite13.0ms

series425.0ms

simplify66.0ms

prune252.0ms

regimes159.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.7s

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