Details

sample51.0ms

Algorithm

intervals

Results

13.0ms	33×	body	1280	valid
10.0ms	38×	body	640	valid
10.0ms	147×	body	80	valid
4.0ms	23×	body	320	valid
2.0ms	15×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	4
1	15	4
2	15	4

prune7.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x (sin y)) (* z (cos y)))
0.1b	(* z (cos y))
0.1b	(* x (sin 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`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `fma-def` `flip3-+` `sum-log` `flip-+`

Counts

3 → 54

Calls

3 calls:

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

series154.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(+ (* x (sin y)) (* z (cos y)))
35.0ms	(* z (cos y))
44.0ms	(* x (sin y))

simplify75.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 3 (71.0ms)

Iter	Nodes	Cost
0	197	270
1	757	245
2	2524	245
3	5001	244

prune145.0ms

Filtered

63 candidates to 46 candidates (73.0%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	53	10	63
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	54	11	65

Merged error: 0.0b

Counts

65 → 11

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma x (sin y) (* z (cos y)))
0.1b	(* z (cos y))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 30

Calls

2 calls:

1.0ms	(fma x (sin y) (* z (cos y)))
6.0ms	(* z (cos y))

series110.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(fma x (sin y) (* z (cos y)))
34.0ms	(* z (cos y))

simplify52.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	85	150
1	280	130
2	715	130
3	1541	130
4	5001	130

prune100.0ms

Filtered

36 candidates to 28 candidates (77.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	36	0	36
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	36	11	47

Merged error: 0.0b

Counts

47 → 11

localize16.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 81

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))

series454.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
99.0ms	(cbrt (cos y))
93.0ms	(cbrt (cos y))
98.0ms	(cbrt (cos y))

simplify106.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (100.0ms)

Iter	Nodes	Cost
0	128	471
1	500	419
2	3232	387
3	5002	381

prune259.0ms

Filtered

93 candidates to 68 candidates (73.1%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	89	4	93
Fresh	1	8	9
Picked	1	0	1
Done	0	1	1
Total	91	13	104

Merged error: 0.0b

Counts

104 → 13

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.4b	(log1p (cbrt (cos y)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`expm1-log1p-u`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`log1p-udef` `log1p-expm1`

Counts

4 → 50

Calls

4 calls:

1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(log1p (cbrt (cos y)))

series463.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(cbrt (cos y))
101.0ms	(cbrt (cos y))
105.0ms	(cbrt (cos y))
157.0ms	(log1p (cbrt (cos y)))

simplify144.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 4 (140.0ms)

Iter	Nodes	Cost
0	80	256
1	209	232
2	628	225
3	3119	225
4	5002	221

prune179.0ms

Filtered

62 candidates to 48 candidates (77.4%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	11	11
Picked	0	1	1
Done	0	1	1
Total	62	13	75

Merged error: 0.0b

Counts

75 → 13

regimes146.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	4
1	8	4

end0.0ms

sample1.5s

Algorithm

intervals

Results

620.0ms	1453×	body	1280	valid
323.0ms	1241×	body	640	valid
236.0ms	4359×	body	80	valid
115.0ms	638×	body	320	valid
41.0ms	309×	body	160	valid