Details

sample60.0ms

Algorithm

intervals

Results

27.0ms	58×	body	1280	valid
11.0ms	41×	body	640	valid
8.0ms	134×	body	80	valid
3.0ms	15×	body	320	valid
1.0ms	8×	body	160	valid

simplify5.0ms

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 2 expressions with local error:

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

rewrite5.0ms

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))

series111.0ms

Counts

2 → 6

Calls

2 calls:

72.0ms	(fma x (sin y) (* z (cos y)))
39.0ms	(* z (cos y))

simplify55.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 1 (5.0ms)

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

prune93.0ms

Filtered

36 candidates to 27 candidates (75.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	31	5	36
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	33	5	38

Merged error: 0.1b

Counts

38 → 5

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (cos y) z (* x (sin y)))
0.1b	(* x (sin 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 (cos y) z (* x (sin y)))
4.0ms	(* x (sin y))

series114.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(fma (cos y) z (* x (sin y)))
40.0ms	(* x (sin y))

simplify43.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 3 (37.0ms)

Iter	Nodes	Cost
0	101	155
1	347	136
2	1297	135
3	5002	134

prune82.0ms

Filtered

36 candidates to 26 candidates (72.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	33	3	36
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	35	6	41

Merged error: 0.0b

Counts

41 → 6

localize12.0ms

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`
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))

series445.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
95.0ms	(cbrt (cos y))
97.0ms	(cbrt (cos y))
96.0ms	(cbrt (cos y))

simplify110.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (103.0ms)

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

prune238.0ms

Filtered

93 candidates to 68 candidates (73.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	93	6	99

Merged error: 0.0b

Counts

99 → 6

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)))

series490.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(cbrt (cos y))
105.0ms	(cbrt (cos y))
96.0ms	(cbrt (cos y))
191.0ms	(expm1 (cbrt (cos y)))

simplify51.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 2 (11.0ms)

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

prune185.0ms

Filtered

62 candidates to 49 candidates (79.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	62	6	68

Merged error: 0.0b

Counts

68 → 6

regimes86.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	13
1	14	13

end0.0ms

sample1.6s

Algorithm

intervals

Results

664.0ms	1526×	body	1280	valid
354.0ms	1249×	body	640	valid
267.0ms	4334×	body	80	valid
115.0ms	592×	body	320	valid
44.0ms	299×	body	160	valid