Details

sample23.0ms

Algorithm

intervals

Results

10.0ms	340×	body	80	valid
0.0ms	4×	body	640	valid
0.0ms	4×	body	320	valid
0.0ms	2×	body	1280	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

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite1.0ms

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:

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

series84.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(fma (+ y z) (+ x x) (fma t x (* y 5.0)))
33.0ms	(fma t x (* y 5.0))

simplify27.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 2 (8.0ms)

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

prune80.0ms

Filtered

26 candidates to 23 candidates (88.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (+ y z) (+ x x) (fma 5.0 y (* t x)))
0.1b	(fma 5.0 y (* t x))

rewrite1.0ms

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:

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

series93.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(fma (+ y z) (+ x x) (fma 5.0 y (* t x)))
35.0ms	(fma 5.0 y (* t x))

simplify26.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 2 (7.0ms)

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

prune80.0ms

Filtered

26 candidates to 23 candidates (88.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

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)))

rewrite10.0ms

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 5.0 y (* t x))) (cbrt (fma 5.0 y (* t x))))
0.0ms	(cbrt (fma 5.0 y (* t x)))
0.0ms	(cbrt (fma 5.0 y (* t x)))
1.0ms	(cbrt (fma 5.0 y (* t x)))

series718.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(* (cbrt (fma 5.0 y (* t x))) (cbrt (fma 5.0 y (* t x))))
177.0ms	(cbrt (fma 5.0 y (* t x)))
188.0ms	(cbrt (fma 5.0 y (* t x)))
181.0ms	(cbrt (fma 5.0 y (* t x)))

simplify108.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (99.0ms)

Iter	Nodes	Cost
0	270	729
1	834	671
2	3684	617
3	5002	594

prune325.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize19.0ms

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)))

rewrite3.0ms

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:

0.0ms	(cbrt (fma 5.0 y (* t x)))
0.0ms	(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)))

series738.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(cbrt (fma 5.0 y (* t x)))
184.0ms	(cbrt (fma 5.0 y (* t x)))
192.0ms	(cbrt (fma 5.0 y (* t x)))
180.0ms	(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

prune309.0ms

Filtered

64 candidates to 60 candidates (93.8%)

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes133.0ms

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	12	5
1	12	5

end0.0ms

sample613.0ms

Algorithm

intervals

Results

321.0ms	10668×	body	80	valid
12.0ms	87×	body	1280	valid
11.0ms	103×	body	640	valid
5.0ms	63×	body	320	valid
1.0ms	20×	body	160	valid