Details

sample53.0ms

Algorithm

intervals

Results

22.0ms	49×	body	1280	valid
9.0ms	36×	body	640	valid
7.0ms	143×	body	80	valid
3.0ms	20×	body	320	valid
1.0ms	8×	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

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: 0.1b

Counts

2 → 1

localize9.0ms

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))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 51

Calls

3 calls:

12.0ms	(+ (* x (cos y)) (* z (sin y)))
4.0ms	(* x (cos y))
4.0ms	(* z (sin y))

series149.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(+ (* x (cos y)) (* z (sin y)))
37.0ms	(* x (cos y))
41.0ms	(* z (sin y))

simplify70.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	177	268
1	679	247
2	2062	247
3	5001	247

prune113.0ms

Filtered

60 candidates to 40 candidates (66.7%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	49	11	60
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	50	11	61

Merged error: 0.0b

Counts

61 → 11

localize12.0ms

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`
8×	`add-cbrt-cube`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 76

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))

series462.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
100.0ms	(cbrt (cos y))
100.0ms	(cbrt (cos y))
104.0ms	(cbrt (cos y))

simplify103.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 3 (97.0ms)

Iter	Nodes	Cost
0	131	478
1	525	405
2	3612	363
3	5001	357

prune210.0ms

Filtered

88 candidates to 60 candidates (68.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	85	3	88
Fresh	3	7	10
Picked	1	0	1
Done	0	0	0
Total	89	10	99

Merged error: 0.0b

Counts

99 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

61×	`add-sqr-sqrt`
33×	`unswap-sqr`
32×	`associate-l`
29×	`unpow-prod-down`
22×	`add-exp-log`
21×	`associate-r`
17×	`add-cbrt-cube`
16×	`add-cube-cbrt` `*-un-lft-identity`
13×	`cbrt-prod`
12×	`pow1` `prod-exp`
11×	`cbrt-unprod`
9×	`sqr-pow`
5×	`pow-exp` `unpow2`
4×	`pow-prod-down` `add-log-exp`
3×	`pow-to-exp` `pow-unpow` `*-commutative`
2×	`unpow1/3`
1×	`pow-pow` `pow1/3`

Counts

4 → 115

Calls

4 calls:

4.0ms	(* z (sin y))
19.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
2.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series202.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* z (sin y))
43.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
17.0ms	(pow (cos y) 2)
101.0ms	(cbrt (cos y))

simplify59.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	459	903
1	1874	785
2	5002	756

prune325.0ms

Filtered

127 candidates to 85 candidates (66.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	122	5	127
Fresh	4	5	9
Picked	1	0	1
Done	0	0	0
Total	127	10	137

Merged error: 0.0b

Counts

137 → 10

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
29×	`associate-l`
24×	`unpow-prod-down`
22×	`associate-r`
21×	`add-exp-log`
20×	`add-cube-cbrt` `*-un-lft-identity`
19×	`unswap-sqr`
14×	`log-pow`
12×	`pow1` `exp-prod`
11×	`prod-exp` `add-cbrt-cube`
9×	`cbrt-prod` `log-prod`
7×	`sqr-pow`
5×	`pow-exp` `cbrt-unprod`
4×	`unpow2` `add-log-exp`
3×	`distribute-rgt-in` `pow-to-exp` `pow-unpow` `distribute-lft-in` `pow-prod-down`
2×	`rem-log-exp` `*-commutative`
1×	`pow-pow` `unpow1/3` `pow1/3`

Counts

4 → 116

Calls

4 calls:

19.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (log (exp (cbrt (cos y)))))
2.0ms	(log (exp (cbrt (cos y))))
2.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series264.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (log (exp (cbrt (cos y)))))
106.0ms	(log (exp (cbrt (cos y))))
17.0ms	(pow (cos y) 2)
101.0ms	(cbrt (cos y))

simplify54.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	424	978
1	1684	803
2	5001	778

prune341.0ms

Filtered

128 candidates to 91 candidates (71.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	127	1	128
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	128	10	138

Merged error: 0.0b

Counts

138 → 10

regimes141.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	12
1	20	12

end0.0ms

sample1.5s

Algorithm

intervals

Results

627.0ms	1478×	body	1280	valid
307.0ms	1200×	body	640	valid
237.0ms	4384×	body	80	valid
108.0ms	629×	body	320	valid
37.0ms	309×	body	160	valid