Details

sample55.0ms

Algorithm

intervals

Results

23.0ms	49×	body	1280	valid
9.0ms	36×	body	640	valid
8.0ms	143×	body	80	valid
4.0ms	20×	body	320	valid
1.0ms	8×	body	160	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	5
1	21	5
2	25	5
3	25	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

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))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

148×	`add-sqr-sqrt`
144×	`prod-diff`
90×	`*-un-lft-identity`
85×	`associate-l`
82×	`add-cube-cbrt`
81×	`associate-r`
31×	`unswap-sqr`
27×	`*-commutative`
12×	`fma-neg`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-log-exp`
4×	`distribute-lft-out--` `difference-of-squares`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 218

Calls

3 calls:

17.0ms	(- (* x (cos y)) (* z (sin y)))
4.0ms	(* x (cos y))
4.0ms	(* z (sin y))

series150.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(- (* x (cos y)) (* z (sin y)))
37.0ms	(* x (cos y))
42.0ms	(* z (sin y))

simplify71.0ms

Algorithm

egg-herbie

Counts

227 → 227

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	556	3598
1	1509	2434
2	5001	2170

prune195.0ms

Filtered

227 candidates to 72 candidates (31.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	217	10	227
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	218	10	228

Merged error: 0.0b

Counts

228 → 10

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`
8×	`add-cbrt-cube`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 84

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))

series452.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
97.0ms	(cbrt (cos y))
96.0ms	(cbrt (cos y))
97.0ms	(cbrt (cos y))

simplify104.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 3 (98.0ms)

Iter	Nodes	Cost
0	137	508
1	544	435
2	3667	393
3	5002	387

prune232.0ms

Filtered

96 candidates to 68 candidates (70.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	93	3	96
Fresh	3	6	9
Picked	1	0	1
Done	0	0	0
Total	97	9	106

Merged error: 0.0b

Counts

106 → 9

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1` `add-exp-log`
6×	`add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `unpow-prod-down` `pow-unpow` `associate-r` `associate-l`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unpow2` `unswap-sqr` `sqr-pow`

Counts

4 → 63

Calls

4 calls:

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

series331.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(fma (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)) (- (* (sin y) z)))
39.0ms	(* (sin y) z)
17.0ms	(pow (cos y) 2)
100.0ms	(cbrt (cos y))

simplify96.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (91.0ms)

Iter	Nodes	Cost
0	209	366
1	734	314
2	3054	310
3	5002	309

prune219.0ms

Filtered

75 candidates to 55 candidates (73.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	72	3	75
Fresh	3	5	8
Picked	1	0	1
Done	0	0	0
Total	76	8	84

Merged error: 0.0b

Counts

84 → 8

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (sin y) z)
0.2b	(log (exp (cbrt (cos y))))
0.2b	(pow (cos y) 2)
0.3b	(cbrt (cos y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `*-un-lft-identity`
8×	`pow1` `add-exp-log`
7×	`log-pow`
6×	`cbrt-prod` `exp-prod` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `log-prod` `associate-r` `associate-l`
2×	`rem-log-exp`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `unpow2` `unswap-sqr` `sqr-pow`

Counts

4 → 74

Calls

4 calls:

4.0ms	(* (sin y) z)
3.0ms	(log (exp (cbrt (cos y))))
2.0ms	(pow (cos y) 2)
2.0ms	(cbrt (cos y))

series262.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (sin y) z)
102.0ms	(log (exp (cbrt (cos y))))
24.0ms	(pow (cos y) 2)
101.0ms	(cbrt (cos y))

simplify84.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 3 (79.0ms)

Iter	Nodes	Cost
0	211	311
1	673	275
2	2578	268
3	5002	267

prune247.0ms

Filtered

86 candidates to 60 candidates (69.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	85	9	94

Merged error: 0.0b

Counts

94 → 9

regimes135.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	12
1	24	12
2	24	12

end0.0ms

sample1.6s

Algorithm

intervals

Results

637.0ms	1478×	body	1280	valid
326.0ms	1200×	body	640	valid
257.0ms	4384×	body	80	valid
118.0ms	629×	body	320	valid
38.0ms	309×	body	160	valid