Details

sample26.0ms

Algorithm

intervals

Results

11.0ms	370×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

simplify54.0ms

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

prune10.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

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))

series86.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(fma (+ y z) (+ x x) (fma t x (* y 5.0)))
31.0ms	(fma t x (* y 5.0))

simplify26.0ms

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

prune79.0ms

Filtered

26 candidates to 23 candidates (88.5%)

Pruning

5 alts after pruning (4 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)))
0.0b	(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))

series95.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(fma (+ y z) (+ x x) (fma 5.0 y (* t x)))
40.0ms	(fma 5.0 y (* t x))

simplify27.0ms

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

prune81.0ms

Filtered

26 candidates to 23 candidates (88.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ y z) z)
0.0b	(+ (+ (+ y z) z) y)
0.0b	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
0.2b	(* x (+ (+ (+ (+ y z) z) y) t))

rewrite985.0ms

Algorithm

rewrite-expression-head

Rules

43×	`*-un-lft-identity`
23×	`distribute-lft-out`
20×	`add-log-exp`
10×	`add-sqr-sqrt` `fma-def` `sum-log`
8×	`add-cube-cbrt`
7×	`associate-r`
6×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `associate-+l+` `flip3-+` `flip-+` `log1p-expm1-u`
3×	`+-commutative` `associate-l`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

15.0ms	(+ (+ y z) z)
72.0ms	(+ (+ (+ y z) z) y)
236.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
660.0ms	(* x (+ (+ (+ (+ y z) z) y) t))

series162.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ (+ y z) z)
34.0ms	(+ (+ (+ y z) z) y)
59.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
43.0ms	(* x (+ (+ (+ (+ y z) z) y) t))

simplify56.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	402	503
1	1821	449
2	5001	430

prune249.0ms

Filtered

101 candidates to 75 candidates (74.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

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

series562.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(* (cbrt (fma t x (* y 5.0))) (cbrt (fma t x (* y 5.0))))
133.0ms	(cbrt (fma t x (* y 5.0)))
136.0ms	(cbrt (fma t x (* y 5.0)))
133.0ms	(cbrt (fma t x (* y 5.0)))

simplify65.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (57.0ms)

Iter	Nodes	Cost
0	232	691
1	729	636
2	2680	572
3	5001	556

prune301.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes126.0ms

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

sample631.0ms

Algorithm

intervals

Results

323.0ms	10521×	body	80	valid
12.0ms	85×	body	1280	valid
11.0ms	95×	body	640	valid
8.0ms	67×	body	320	valid
2.0ms	39×	body	160	valid