Details

sample24.0ms

Algorithm

intervals

Results

11.0ms	365×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

simplify52.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (10.0ms)

Iter	Nodes	Cost
0	31	6
1	92	6
2	309	6
3	880	5
4	1630	5
5	1872	5
6	1886	5
7	1886	5

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 0.0b

Counts

2 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma t x (* y 5.0))
0.0b	(fma (+ y z) (+ x x) (fma t x (* y 5.0)))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

2×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

2 → 20

Calls

2 calls:

1.0ms	(fma t x (* y 5.0))
1.0ms	(fma (+ y z) (+ x x) (fma t x (* y 5.0)))

series87.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(fma t x (* y 5.0))
56.0ms	(fma (+ y z) (+ x x) (fma t x (* y 5.0)))

simplify27.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	65	129
1	164	113
2	648	111
3	5001	111

prune58.0ms

Filtered

26 candidates to 23 candidates (11.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	24	2	26
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	25	3	28

Merged error: 0.0b

Counts

28 → 3

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (+ y z) (+ x x) (fma 5.0 y (* t x)))
0.0b	(fma 5.0 y (* t x))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

2×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

2 → 20

Calls

2 calls:

1.0ms	(fma (+ y z) (+ x x) (fma 5.0 y (* t x)))
1.0ms	(fma 5.0 y (* t x))

series95.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(fma (+ y z) (+ x x) (fma 5.0 y (* t x)))
36.0ms	(fma 5.0 y (* t x))

simplify28.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	63	128
1	162	112
2	646	110
3	5002	110

prune54.0ms

Filtered

26 candidates to 23 candidates (11.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	25	1	26
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	26	3	29

Merged error: 0.0b

Counts

29 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma 5.0 y (* t x))) (cbrt (fma 5.0 y (* t x))))
0.6b	(cbrt (fma 5.0 y (* t x)))
0.6b	(cbrt (fma 5.0 y (* t x)))
0.6b	(cbrt (fma 5.0 y (* t x)))

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`
8×	`add-cbrt-cube`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 84

Calls

4 calls:

6.0ms	(* (cbrt (fma 5.0 y (* t x))) (cbrt (fma 5.0 y (* t x))))
1.0ms	(cbrt (fma 5.0 y (* t x)))
1.0ms	(cbrt (fma 5.0 y (* t x)))
1.0ms	(cbrt (fma 5.0 y (* t x)))

series740.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(* (cbrt (fma 5.0 y (* t x))) (cbrt (fma 5.0 y (* t x))))
188.0ms	(cbrt (fma 5.0 y (* t x)))
189.0ms	(cbrt (fma 5.0 y (* t x)))
186.0ms	(cbrt (fma 5.0 y (* t x)))

simplify106.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 3 (98.0ms)

Iter	Nodes	Cost
0	279	780
1	882	705
2	4087	616
3	5001	597

prune244.0ms

Filtered

96 candidates to 72 candidates (25.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	94	2	96
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	94	5	99

Merged error: 0.0b

Counts

99 → 5

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma 5.0 y (* t x)))
0.6b	(cbrt (fma 5.0 y (* t x)))
0.6b	(cbrt (fma 5.0 y (* t x)))
0.6b	(cbrt (fma 5.0 y (* t x)))

rewrite6.0ms

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 5.0 y (* t x)))
1.0ms	(cbrt (fma 5.0 y (* t x)))
1.0ms	(cbrt (fma 5.0 y (* t x)))
1.0ms	(cbrt (fma 5.0 y (* t x)))

series752.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(cbrt (fma 5.0 y (* t x)))
187.0ms	(cbrt (fma 5.0 y (* t x)))
194.0ms	(cbrt (fma 5.0 y (* t x)))
183.0ms	(cbrt (fma 5.0 y (* t x)))

simplify107.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 4 (101.0ms)

Iter	Nodes	Cost
0	137	444
1	314	408
2	957	384
3	3731	352
4	5002	344

prune247.0ms

Filtered

64 candidates to 60 candidates (6.3%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	64	5	69

Merged error: 0.0b

Counts

69 → 5

regimes106.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	5
1	12	5

end0.0ms

sample625.0ms

Algorithm

intervals

Results

323.0ms	10542×	body	80	valid
14.0ms	96×	body	1280	valid
13.0ms	112×	body	640	valid
8.0ms	58×	body	320	valid
2.0ms	37×	body	160	valid