Details

sample55.0ms

Algorithm

intervals

Results

22.0ms	55×	body	1280	valid
11.0ms	45×	body	640	valid
8.0ms	132×	body	80	valid
3.0ms	15×	body	320	valid
1.0ms	9×	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

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: 0.2b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma x (sin y) (* z (cos y)))
0.2b	(* 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))

series117.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(fma x (sin y) (* z (cos y)))
42.0ms	(* z (cos y))

simplify56.0ms

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	1540	130
4	5001	130

prune104.0ms

Filtered

36 candidates to 28 candidates (77.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	31	5	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	6	37

Merged error: 0.1b

Counts

37 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

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

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

series836.0ms

Counts

4 → 12

Calls

4 calls:

227.0ms	(* (cbrt (fma x (sin y) (* z (cos y)))) (cbrt (fma x (sin y) (* z (cos y)))))
201.0ms	(cbrt (fma x (sin y) (* z (cos y))))
207.0ms	(cbrt (fma x (sin y) (* z (cos y))))
201.0ms	(cbrt (fma x (sin y) (* z (cos y))))

simplify167.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	216	972
1	851	889
2	4601	816
3	5001	816

prune322.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	87	6	93
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	89	10	99

Merged error: 0.0b

Counts

99 → 10

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma x (sin y) (* z (cos y))))
0.6b	(cbrt (cbrt (fma x (sin y) (* z (cos y)))))
0.6b	(cbrt (cbrt (fma x (sin y) (* z (cos y)))))
0.6b	(cbrt (cbrt (fma x (sin y) (* z (cos y)))))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 61

Calls

4 calls:

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

series825.0ms

Counts

4 → 12

Calls

4 calls:

205.0ms	(cbrt (fma x (sin y) (* z (cos y))))
209.0ms	(cbrt (cbrt (fma x (sin y) (* z (cos y)))))
208.0ms	(cbrt (cbrt (fma x (sin y) (* z (cos y)))))
203.0ms	(cbrt (cbrt (fma x (sin y) (* z (cos y)))))

simplify65.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 3 (57.0ms)

Iter	Nodes	Cost
0	162	724
1	456	673
2	1930	658
3	5001	650

prune349.0ms

Filtered

73 candidates to 69 candidates (94.5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	73	10	83

Merged error: 0.0b

Counts

83 → 10

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt (fma x (sin y) (* z (cos y)))))
0.6b	(cbrt (cbrt (fma x (sin y) (* z (cos y)))))
0.6b	(cbrt (* (cbrt (fma x (sin y) (* z (cos y)))) (cbrt (fma x (sin y) (* z (cos y))))))
0.6b	(cbrt (* (cbrt (fma x (sin y) (* z (cos y)))) (cbrt (fma x (sin y) (* z (cos y))))))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 54

Calls

4 calls:

2.0ms	(cbrt (cbrt (fma x (sin y) (* z (cos y)))))
2.0ms	(cbrt (cbrt (fma x (sin y) (* z (cos y)))))
4.0ms	(cbrt (* (cbrt (fma x (sin y) (* z (cos y)))) (cbrt (fma x (sin y) (* z (cos y))))))
4.0ms	(cbrt (* (cbrt (fma x (sin y) (* z (cos y)))) (cbrt (fma x (sin y) (* z (cos y))))))

series888.0ms

Counts

4 → 12

Calls

4 calls:

208.0ms	(cbrt (cbrt (fma x (sin y) (* z (cos y)))))
208.0ms	(cbrt (cbrt (fma x (sin y) (* z (cos y)))))
232.0ms	(cbrt (* (cbrt (fma x (sin y) (* z (cos y)))) (cbrt (fma x (sin y) (* z (cos y))))))
239.0ms	(cbrt (* (cbrt (fma x (sin y) (* z (cos y)))) (cbrt (fma x (sin y) (* z (cos y))))))

simplify76.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 3 (68.0ms)

Iter	Nodes	Cost
0	184	792
1	569	716
2	2522	700
3	5001	684

prune314.0ms

Filtered

66 candidates to 62 candidates (93.9%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	66	10	76

Merged error: 0.0b

Counts

76 → 10

regimes149.0ms

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

602.0ms	1418×	body	1280	valid
322.0ms	1258×	body	640	valid
243.0ms	4415×	body	80	valid
108.0ms	617×	body	320	valid
35.0ms	292×	body	160	valid