Details

sample55.0ms

Algorithm

intervals

Results

20.0ms	47×	body	1280	valid
11.0ms	40×	body	640	valid
8.0ms	137×	body	80	valid
4.0ms	21×	body	320	valid
1.0ms	11×	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

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: 0.1b

Counts

2 → 1

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))

series117.0ms

Counts

2 → 6

Calls

2 calls:

77.0ms	(fma x (sin y) (* z (cos y)))
40.0ms	(* 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

prune96.0ms

Filtered

36 candidates to 28 candidates (77.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	30	6	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	7	37

Merged error: 0.1b

Counts

37 → 7

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:

5.0ms	(* (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))))

series807.0ms

Counts

4 → 12

Calls

4 calls:

218.0ms	(* (cbrt (fma x (sin y) (* z (cos y)))) (cbrt (fma x (sin y) (* z (cos y)))))
196.0ms	(cbrt (fma x (sin y) (* z (cos y))))
198.0ms	(cbrt (fma x (sin y) (* z (cos y))))
195.0ms	(cbrt (fma x (sin y) (* z (cos y))))

simplify168.0ms

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

prune282.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	88	5	93
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	90	10	100

Merged error: 0.0b

Counts

100 → 10

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

16×	`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 → 53

Calls

4 calls:

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

series828.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(cbrt (fma x (sin y) (* z (cos y))))
198.0ms	(cbrt (fma x (sin y) (* z (cos y))))
227.0ms	(cbrt (* (cbrt (fma x (sin y) (* z (cos y)))) (cbrt (fma x (sin y) (* z (cos y))))))
203.0ms	(cbrt (cbrt (fma x (sin y) (* z (cos y)))))

simplify101.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 3 (88.0ms)

Iter	Nodes	Cost
0	233	668
1	747	606
2	3335	592
3	5001	580

prune284.0ms

Filtered

65 candidates to 61 candidates (93.8%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	64	1	65
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	64	11	75

Merged error: 0.0b

Counts

75 → 11

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
9×	`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 → 58

Calls

4 calls:

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

series904.0ms

Counts

4 → 12

Calls

4 calls:

236.0ms	(cbrt (cbrt (* (cbrt (fma x (sin y) (* z (cos y)))) (cbrt (fma x (sin y) (* z (cos y)))))))
227.0ms	(cbrt (cbrt (* (cbrt (fma x (sin y) (* z (cos y)))) (cbrt (fma x (sin y) (* z (cos y)))))))
238.0ms	(cbrt (cbrt (* (cbrt (fma x (sin y) (* z (cos y)))) (cbrt (fma x (sin y) (* z (cos y)))))))
202.0ms	(cbrt (cbrt (fma x (sin y) (* z (cos y)))))

simplify74.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (64.0ms)

Iter	Nodes	Cost
0	192	1090
1	548	993
2	2407	983
3	5002	960

prune317.0ms

Filtered

70 candidates to 66 candidates (94.3%)

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	67	3	70
Fresh	1	6	7
Picked	0	1	1
Done	0	3	3
Total	68	13	81

Merged error: 0.0b

Counts

81 → 13

regimes186.0ms

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

sample1.7s

Algorithm

intervals

Results

696.0ms	1517×	body	1280	valid
352.0ms	1270×	body	640	valid
265.0ms	4266×	body	80	valid
129.0ms	623×	body	320	valid
50.0ms	324×	body	160	valid

Details

sample55.0ms

simplify5.0ms

prune7.0ms

localize9.0ms

rewrite6.0ms

series117.0ms

simplify52.0ms

prune96.0ms

localize13.0ms

rewrite11.0ms

series807.0ms

simplify168.0ms

prune282.0ms

localize22.0ms

rewrite9.0ms

series828.0ms

simplify101.0ms

prune284.0ms

localize26.0ms

rewrite9.0ms

series904.0ms

simplify74.0ms

prune317.0ms

regimes186.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.7s

Profiling