Details

sample45.0ms

Algorithm

intervals

Results

15.0ms	37×	body	1280	valid
10.0ms	176×	body	80	valid
6.0ms	24×	body	640	valid
3.0ms	14×	body	320	valid
1.0ms	5×	body	160	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	13	5
1	22	4
2	28	4
3	28	4

prune7.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (sin y))
0.0b	(fma (cos y) z (+ x (sin y)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

5×	`*-un-lft-identity`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `fma-def`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `fma-udef` `distribute-lft-out`

Counts

2 → 27

Calls

2 calls:

4.0ms	(+ x (sin y))
1.0ms	(fma (cos y) z (+ x (sin y)))

series68.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(+ x (sin y))
44.0ms	(fma (cos y) z (+ x (sin y)))

simplify55.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	98	137
1	220	120
2	612	120
3	2378	120
4	5001	120

prune79.0ms

Filtered

33 candidates to 27 candidates (81.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	30	3	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	4	34

Merged error: 0.0b

Counts

34 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y)))))
0.5b	(cbrt (fma (cos y) z (+ x (sin y))))
0.5b	(cbrt (fma (cos y) z (+ x (sin y))))
0.5b	(cbrt (fma (cos y) z (+ x (sin y))))

rewrite11.0ms

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:

5.0ms	(* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y)))))
1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))

series777.0ms

Counts

4 → 12

Calls

4 calls:

198.0ms	(* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y)))))
181.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
185.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
213.0ms	(cbrt (fma (cos y) z (+ x (sin y))))

simplify50.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	349	1228
1	1568	1141
2	5001	1051

prune267.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	91	2	93
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	91	6	97

Merged error: 0.0b

Counts

97 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (cos y) z (+ x (sin y))))
0.5b	(cbrt (fma (cos y) z (+ x (sin y))))
0.5b	(cbrt (fma (cos y) z (+ x (sin y))))
4.4b	(expm1 (log1p (* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y)))))))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 50

Calls

4 calls:

1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
1.0ms	(expm1 (log1p (* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y)))))))

series820.0ms

Counts

4 → 12

Calls

4 calls:

189.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
185.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
201.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
245.0ms	(expm1 (log1p (* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y)))))))

simplify57.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	328	879
1	1312	787
2	5001	751

prune250.0ms

Filtered

62 candidates to 57 candidates (91.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	61	1	62
Fresh	0	3	3
Picked	1	0	1
Done	0	2	2
Total	62	6	68

Merged error: 0.0b

Counts

68 → 6

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (cos y) z (+ x (sin y))))
0.5b	(cbrt (fma (cos y) z (+ x (sin y))))
0.6b	(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))
4.4b	(expm1 (log1p (* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y)))))))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 53

Calls

4 calls:

1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
2.0ms	(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))
1.0ms	(expm1 (log1p (* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y)))))))

series816.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
181.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
215.0ms	(cbrt (cbrt (fma (cos y) z (+ x (sin y)))))
239.0ms	(expm1 (log1p (* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y)))))))

simplify45.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	450	939
1	1783	845
2	5002	815

prune486.0ms

Filtered

65 candidates to 61 candidates (93.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	65	6	71

Merged error: 0.0b

Counts

71 → 6

regimes88.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	4
1	8	4

end0.0ms

sample1.3s

Algorithm

intervals

Results

426.0ms	976×	body	1280	valid
304.0ms	5579×	body	80	valid
235.0ms	841×	body	640	valid
81.0ms	388×	body	320	valid
27.0ms	216×	body	160	valid