Details

sample55.0ms

Algorithm

intervals

Results

23.0ms	56×	body	1280	valid
8.0ms	33×	body	640	valid
7.0ms	131×	body	80	valid
4.0ms	22×	body	320	valid
2.0ms	14×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	4
1	15	4
2	15	4

prune6.0ms

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

localize12.0ms

Local error

Found 2 expressions with local error:

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

series108.0ms

Counts

2 → 6

Calls

2 calls:

71.0ms	(fma x (cos y) (* z (sin y)))
37.0ms	(* z (sin y))

simplify49.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	83	149
1	279	130
2	726	130
3	1552	130
4	5002	130

prune99.0ms

Filtered

36 candidates to 27 candidates (75.0%)

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: 0.0b

Counts

37 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin y)) (cbrt (sin y)))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin 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 (sin y)) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))

series401.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
101.0ms	(cbrt (sin y))
95.0ms	(cbrt (sin y))
95.0ms	(cbrt (sin y))

simplify91.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (85.0ms)

Iter	Nodes	Cost
0	160	483
1	568	430
2	3134	398
3	5001	392

prune468.0ms

Filtered

93 candidates to 68 candidates (73.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	93	7	100

Merged error: 0.0b

Counts

100 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma x (cos y) (* z (sin y)))) (cbrt (fma x (cos y) (* z (sin y)))))
0.6b	(cbrt (fma x (cos y) (* z (sin y))))
0.6b	(cbrt (fma x (cos y) (* z (sin y))))
0.6b	(cbrt (fma x (cos y) (* z (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 x (cos y) (* z (sin y)))) (cbrt (fma x (cos y) (* z (sin y)))))
1.0ms	(cbrt (fma x (cos y) (* z (sin y))))
1.0ms	(cbrt (fma x (cos y) (* z (sin y))))
1.0ms	(cbrt (fma x (cos y) (* z (sin y))))

series829.0ms

Counts

4 → 12

Calls

4 calls:

221.0ms	(* (cbrt (fma x (cos y) (* z (sin y)))) (cbrt (fma x (cos y) (* z (sin y)))))
213.0ms	(cbrt (fma x (cos y) (* z (sin y))))
199.0ms	(cbrt (fma x (cos y) (* z (sin y))))
195.0ms	(cbrt (fma x (cos y) (* z (sin y))))

simplify118.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (108.0ms)

Iter	Nodes	Cost
0	274	1020
1	870	937
2	4031	843
3	5001	824

prune307.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	90	3	93
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	90	10	100

Merged error: 0.0b

Counts

100 → 10

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

12×	`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 → 52

Calls

4 calls:

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

series817.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(cbrt (fma x (cos y) (* z (sin y))))
208.0ms	(cbrt (fma x (cos y) (* z (sin y))))
204.0ms	(cbrt (fma x (cos y) (* z (sin y))))
202.0ms	(cbrt (fma x (cos y) (* z (sin y))))

simplify112.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 4 (105.0ms)

Iter	Nodes	Cost
0	138	592
1	314	544
2	955	520
3	3762	488
4	5001	480

prune276.0ms

Filtered

64 candidates to 60 candidates (93.8%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	6	6
Picked	0	1	1
Done	0	3	3
Total	64	10	74

Merged error: 0.0b

Counts

74 → 10

regimes130.0ms

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

sample1.6s

Algorithm

intervals

Results

627.0ms	1497×	body	1280	valid
332.0ms	1267×	body	640	valid
234.0ms	4256×	body	80	valid
126.0ms	657×	body	320	valid
39.0ms	323×	body	160	valid