Details

sample59.0ms

Algorithm

intervals

Results

24.0ms	45×	body	1280	valid
12.0ms	43×	body	640	valid
9.0ms	143×	body	80	valid
4.0ms	19×	body	320	valid
1.0ms	6×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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	(* x (sin y))
0.1b	(* z (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`
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	(* x (sin y))
4.0ms	(* z (cos y))

series155.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(+ (* x (sin y)) (* z (cos y)))
43.0ms	(* x (sin y))
37.0ms	(* z (cos y))

simplify73.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 3 (69.0ms)

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

prune155.0ms

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

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite6.0ms

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

series120.0ms

Counts

2 → 6

Calls

2 calls:

80.0ms	(fma x (sin y) (* z (cos y)))
40.0ms	(* z (cos y))

simplify50.0ms

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

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	32	4	36
Fresh	4	6	10
Picked	1	0	1
Done	0	0	0
Total	37	10	47

Merged error: 0.0b

Counts

47 → 10

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))

rewrite15.0ms

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:

9.0ms	(* (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:

161.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
100.0ms	(cbrt (cos y))
100.0ms	(cbrt (cos y))
101.0ms	(cbrt (cos y))

simplify107.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (101.0ms)

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

prune249.0ms

Filtered

93 candidates to 68 candidates (73.1%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	91	2	93
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	91	12	103

Merged error: 0.0b

Counts

103 → 12

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.6b	(expm1 (cbrt (cos y)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 50

Calls

4 calls:

1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(expm1 (cbrt (cos y)))

series685.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(cbrt (cos y))
98.0ms	(cbrt (cos y))
96.0ms	(cbrt (cos y))
393.0ms	(expm1 (cbrt (cos y)))

simplify48.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	98	255
1	306	233
2	1049	227
3	5001	227

prune184.0ms

Filtered

62 candidates to 49 candidates (79.0%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	62	12	74

Merged error: 0.0b

Counts

74 → 12

regimes137.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	12
1	15	12

end0.0ms

sample1.6s

Algorithm

intervals

Results

671.0ms	1485×	body	1280	valid
332.0ms	1216×	body	640	valid
257.0ms	4344×	body	80	valid
131.0ms	634×	body	320	valid
42.0ms	321×	body	160	valid