Details

analyze266.0ms

Algorithm: search

sample55.0ms

Algorithm

intervals

Results

22.0ms	48×	body	1280	valid
10.0ms	152×	body	80	valid
8.0ms	29×	body	640	valid
4.0ms	20×	body	320	valid
1.0ms	7×	body	160	valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

prune4.0ms

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: 0.1b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite13.0ms

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

series34.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(+ (* x (cos y)) (* z (sin y)))
7.0ms	(* z (sin y))
8.0ms	(* x (cos y))

simplify72.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 1 (5.0ms)

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

prune102.0ms

Filtered

39 candidates to 56 candidates (-43.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	45	11	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	11	57

Merged error: 0.1b

Counts

57 → 11

localize13.0ms

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))

rewrite13.0ms

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))
3.0ms	(cbrt (cos y))

series76.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
17.0ms	(cbrt (cos y))
17.0ms	(cbrt (cos y))
18.0ms	(cbrt (cos y))

simplify105.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (97.0ms)

Iter	Nodes	Cost
0	125	433
1	507	381
2	3337	357
3	5001	351

prune133.0ms

Filtered

60 candidates to 85 candidates (-41.7%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	80	5	85
Fresh	2	8	10
Picked	1	0	1
Done	0	0	0
Total	83	13	96

Merged error: 0.0b

Counts

96 → 13

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (pow (pow (cos y) 2) 1/3))
0.2b	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
0.2b	(pow (cos y) 2)
0.3b	(cbrt (cos y))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log`
22×	`add-sqr-sqrt`
19×	`unpow-prod-down`
18×	`associate-r`
16×	`prod-exp`
13×	`add-cube-cbrt` `*-un-lft-identity`
11×	`add-cbrt-cube`
9×	`pow-exp`
7×	`pow1` `cbrt-unprod`
6×	`cbrt-prod` `unswap-sqr`
5×	`pow-to-exp` `sqr-pow`
4×	`associate-l` `add-log-exp`
3×	`pow-unpow` `unpow2`
2×	`unpow1/3` `*-commutative`
1×	`pow-pow` `pow1/3` `pow-prod-down`

Counts

4 → 90

Calls

4 calls:

7.0ms	(* x (pow (pow (cos y) 2) 1/3))
9.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
2.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series48.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* x (pow (pow (cos y) 2) 1/3))
9.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
3.0ms	(pow (cos y) 2)
17.0ms	(cbrt (cos y))

simplify47.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	320	575
1	1409	501
2	5001	468

prune177.0ms

Filtered

62 candidates to 102 candidates (-64.5%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	96	6	102
Fresh	5	7	12
Picked	1	0	1
Done	0	0	0
Total	102	13	115

Merged error: 0.0b

Counts

115 → 13

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 42

Calls

4 calls:

4.0ms	(cbrt (* (cbrt (cos y)) (cbrt (cos y))))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series74.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt (* (cbrt (cos y)) (cbrt (cos y))))
17.0ms	(cbrt (cos y))
18.0ms	(cbrt (cos y))
17.0ms	(cbrt (cos y))

simplify187.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	82	259
1	226	231
2	748	220
3	3977	220
4	5002	220

prune87.0ms

Filtered

43 candidates to 54 candidates (-25.6%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	53	1	54
Fresh	2	10	12
Picked	0	1	1
Done	0	0	0
Total	55	12	67

Merged error: 0.0b

Counts

67 → 12

regimes435.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	18
1	23	18

end0.0ms

analyze261.0ms

Algorithm: search

sample1.7s

Algorithm

intervals

Results

675.0ms	1451×	body	1280	valid
367.0ms	1277×	body	640	valid
298.0ms	4390×	body	80	valid
118.0ms	590×	body	320	valid
40.0ms	292×	body	160	valid

Details

analyze266.0ms

sample55.0ms

simplify3.0ms

prune4.0ms

localize9.0ms

rewrite13.0ms

series34.0ms

simplify72.0ms

prune102.0ms

localize13.0ms

rewrite13.0ms

series76.0ms

simplify105.0ms

prune133.0ms

localize16.0ms

rewrite22.0ms

series48.0ms

simplify47.0ms

prune177.0ms

localize20.0ms

rewrite9.0ms

series74.0ms

simplify187.0ms

prune87.0ms

regimes435.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze261.0ms

sample1.7s

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