Details

sample23.0ms

Algorithm

intervals

Results

10.0ms	337×	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

simplify49.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (9.0ms)

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

prune9.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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

localize8.0ms

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)))

series83.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(fma t x (* y 5.0))
50.0ms	(fma (+ y z) (+ x x) (fma t x (* y 5.0)))

simplify29.0ms

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

prune89.0ms

Filtered

26 candidates to 23 candidates (88.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	23	3	26
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	25	3	28

Merged error: 0.0b

Counts

28 → 3

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))

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))

series89.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(fma (+ y z) (+ x x) (fma 5.0 y (* t x)))
37.0ms	(fma 5.0 y (* t x))

simplify36.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 2 (11.0ms)

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

prune75.0ms

Filtered

26 candidates to 23 candidates (88.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	26	0	26
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	26	3	29

Merged error: 0.0b

Counts

29 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
12×	`associate-r`
11×	`add-sqr-sqrt`
9×	`add-cube-cbrt`
7×	`flip3-+` `flip-+`
5×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`frac-times` `associate-l` `distribute-lft-out`
3×	`expm1-log1p-u` `distribute-rgt-out` `log1p-expm1-u`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `associate-r/` `associate-l/` `fma-udef`
1×	`+-commutative` `associate-+r+` `fma-def` `distribute-lft1-in` `count-2` `pow-prod-down` `distribute-rgt1-in` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 67

Calls

3 calls:

1.0ms	(fma t x (* y 5.0))
9.0ms	(* (+ y z) (+ x x))
8.0ms	(+ (* (+ y z) (+ x x)) (fma t x (* y 5.0)))

series108.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(fma t x (* y 5.0))
27.0ms	(* (+ y z) (+ x x))
53.0ms	(+ (* (+ y z) (+ x x)) (fma t x (* y 5.0)))

simplify58.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	348	382
1	1657	337
2	5001	336

prune170.0ms

Filtered

76 candidates to 58 candidates (76.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	76	3	79

Merged error: 0.0b

Counts

79 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

19.0ms	(* (cbrt (+ (* (+ y z) (+ x x)) (fma t x (* y 5.0)))) (cbrt (+ (* (+ y z) (+ x x)) (fma t x (* y 5.0)))))
8.0ms	(cbrt (+ (* (+ y z) (+ x x)) (fma t x (* y 5.0))))
11.0ms	(cbrt (+ (* (+ y z) (+ x x)) (fma t x (* y 5.0))))
8.0ms	(cbrt (+ (* (+ y z) (+ x x)) (fma t x (* y 5.0))))

series2.1s

Counts

4 → 12

Calls

4 calls:

857.0ms	(* (cbrt (+ (* (+ y z) (+ x x)) (fma t x (* y 5.0)))) (cbrt (+ (* (+ y z) (+ x x)) (fma t x (* y 5.0)))))
415.0ms	(cbrt (+ (* (+ y z) (+ x x)) (fma t x (* y 5.0))))
417.0ms	(cbrt (+ (* (+ y z) (+ x x)) (fma t x (* y 5.0))))
406.0ms	(cbrt (+ (* (+ y z) (+ x x)) (fma t x (* y 5.0))))

simplify54.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	450	1892
1	1529	1777
2	5001	1678

prune356.0ms

Filtered

107 candidates to 86 candidates (80.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	107	3	110

Merged error: 0.0b

Counts

110 → 3

regimes76.0ms

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

sample651.0ms

Algorithm

intervals

Results

341.0ms	10536×	body	80	valid
16.0ms	91×	body	1280	valid
13.0ms	111×	body	640	valid
5.0ms	55×	body	320	valid
2.0ms	34×	body	160	valid