Details

sample56.0ms

Algorithm

intervals

Results

22.0ms	46×	body	1280	valid
11.0ms	42×	body	640	valid
8.0ms	133×	body	80	valid
4.0ms	21×	body	320	valid
2.0ms	14×	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))

rewrite36.0ms

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))

series147.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(- (* x (cos y)) (* z (sin y)))
35.0ms	(* x (cos y))
42.0ms	(* z (sin y))

simplify72.0ms

Algorithm

egg-herbie

Counts

227 → 227

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	562	3598
1	1540	2434
2	5001	2170

prune267.0ms

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

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (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))

series461.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
98.0ms	(cbrt (cos y))
103.0ms	(cbrt (cos y))
97.0ms	(cbrt (cos y))

simplify113.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 3 (108.0ms)

Iter	Nodes	Cost
0	137	508
1	544	435
2	3708	393
3	5001	387

prune326.0ms

Filtered

96 candidates to 68 candidates (70.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	92	4	96
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	95	11	106

Merged error: 0.0b

Counts

106 → 11

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`unpow-prod-down`
15×	`add-exp-log` `associate-r`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow1` `add-cbrt-cube`
7×	`unswap-sqr`
6×	`associate-l` `prod-exp`
5×	`pow-exp` `sqr-pow`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow-to-exp` `pow-unpow` `cbrt-unprod` `unpow2`
2×	`pow-prod-down` `*-commutative`
1×	`pow-pow` `unpow1/3` `pow1/3`

Counts

4 → 92

Calls

4 calls:

10.0ms	(* x (pow (pow (cos y) 2) 1/3))
4.0ms	(* (sin y) z)
2.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series248.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(* x (pow (pow (cos y) 2) 1/3))
38.0ms	(* (sin y) z)
16.0ms	(pow (cos y) 2)
99.0ms	(cbrt (cos y))

simplify41.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	313	452
1	1142	391
2	5001	385

prune365.0ms

Filtered

104 candidates to 69 candidates (66.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	100	4	104
Fresh	4	6	10
Picked	1	0	1
Done	0	0	0
Total	105	10	115

Merged error: 0.0b

Counts

115 → 10

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(log1p (expm1 (cbrt (cos y))))
0.3b	(pow (cos y) 2)
0.3b	(cbrt (cos y))
0.6b	(expm1 (cbrt (cos y)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log` `expm1-log1p-u` `log1p-expm1-u`
4×	`add-cbrt-cube` `add-log-exp`
3×	`cbrt-prod` `unpow-prod-down` `pow-unpow`
2×	`log1p-expm1`
1×	`pow-to-exp` `log1p-udef` `expm1-log1p` `pow-pow` `pow1/3` `pow-exp` `unpow2` `expm1-udef` `sqr-pow`

Counts

4 → 56

Calls

4 calls:

1.0ms	(log1p (expm1 (cbrt (cos y))))
2.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))
1.0ms	(expm1 (cbrt (cos y)))

series539.0ms

Counts

4 → 12

Calls

4 calls:

224.0ms	(log1p (expm1 (cbrt (cos y))))
16.0ms	(pow (cos y) 2)
98.0ms	(cbrt (cos y))
200.0ms	(expm1 (cbrt (cos y)))

simplify82.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 3 (78.0ms)

Iter	Nodes	Cost
0	177	249
1	598	221
2	2242	214
3	5001	213

prune245.0ms

Filtered

68 candidates to 45 candidates (66.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	0	9	9
Picked	1	0	1
Done	0	0	0
Total	68	10	78

Merged error: 0.0b

Counts

78 → 10

regimes148.0ms

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	24	14
1	26	14
2	26	14

end0.0ms

sample1.6s

Algorithm

intervals

Results

608.0ms	1433×	body	1280	valid
328.0ms	1213×	body	640	valid
259.0ms	4439×	body	80	valid
113.0ms	585×	body	320	valid
42.0ms	330×	body	160	valid