Details

sample24.0ms

Algorithm

intervals

Results

11.0ms	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

simplify55.0ms

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)

	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)))

series88.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(fma t x (* y 5.0))
53.0ms	(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

prune79.0ms

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))

series93.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(fma (+ y z) (+ x x) (fma 5.0 y (* t x)))
39.0ms	(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

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

localize10.0ms

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)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 95

Calls

3 calls:

1.0ms	(fma t x (* y 5.0))
10.0ms	(* (+ y z) (+ x x))
19.0ms	(+ (* (+ y z) (+ x x)) (fma t x (* y 5.0)))

series119.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(fma t x (* y 5.0))
28.0ms	(* (+ y z) (+ x x))
55.0ms	(+ (* (+ y z) (+ x x)) (fma t x (* y 5.0)))

simplify59.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	348	413
1	1657	368
2	5001	367

prune245.0ms

Filtered

104 candidates to 75 candidates (72.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	103	1	104
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	104	3	107

Merged error: 0.0b

Counts

107 → 3

localize18.0ms

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))))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

112×	`*-un-lft-identity`
70×	`cbrt-prod`
52×	`distribute-lft-out`
35×	`associate-l`
23×	`add-sqr-sqrt`
21×	`swap-sqr`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `associate-r` `flip-+`
8×	`add-cbrt-cube`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `cbrt-unprod` `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`

Counts

4 → 128

Calls

4 calls:

41.0ms	(* (cbrt (+ (* (+ y z) (+ x x)) (fma t x (* y 5.0)))) (cbrt (+ (* (+ y z) (+ x x)) (fma t x (* y 5.0)))))
16.0ms	(cbrt (+ (* (+ y z) (+ x x)) (fma t x (* y 5.0))))
16.0ms	(cbrt (+ (* (+ y z) (+ x x)) (fma t x (* y 5.0))))
16.0ms	(cbrt (+ (* (+ y z) (+ x x)) (fma t x (* y 5.0))))

series2.3s

Counts

4 → 12

Calls

4 calls:

851.0ms	(* (cbrt (+ (* (+ y z) (+ x x)) (fma t x (* y 5.0)))) (cbrt (+ (* (+ y z) (+ x x)) (fma t x (* y 5.0)))))
569.0ms	(cbrt (+ (* (+ y z) (+ x x)) (fma t x (* y 5.0))))
432.0ms	(cbrt (+ (* (+ y z) (+ x x)) (fma t x (* y 5.0))))
435.0ms	(cbrt (+ (* (+ y z) (+ x x)) (fma t x (* y 5.0))))

simplify64.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	465	2411
1	1617	2265
2	5002	1951

prune365.0ms

Filtered

140 candidates to 86 candidates (61.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	140	3	143

Merged error: 0.0b

Counts

143 → 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

sample645.0ms

Algorithm

intervals

Results

340.0ms	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