Details

sample28.0ms

Algorithm

intervals

Results

14.0ms	350×	body	80	valid
0.0ms	3×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid

simplify53.0ms

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 (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)))

series83.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(fma t x (* y 5.0))
53.0ms	(fma (+ y z) (+ x x) (fma t x (* y 5.0)))

simplify28.0ms

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

prune72.0ms

Filtered

26 candidates to 23 candidates (88.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	23	3	26
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	24	4	28

Merged error: 0.0b

Counts

28 → 4

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))

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:

52.0ms	(fma (+ y z) (+ x x) (fma 5.0 y (* t x)))
37.0ms	(fma 5.0 y (* t x))

simplify29.0ms

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

prune68.0ms

Filtered

26 candidates to 23 candidates (88.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	26	0	26
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	26	4	30

Merged error: 0.0b

Counts

30 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite45.0ms

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:

14.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
6.0ms	(+ (+ y z) z)
14.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
9.0ms	(+ (+ (+ y z) z) y)

series151.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
23.0ms	(+ (+ y z) z)
55.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
33.0ms	(+ (+ (+ y z) z) y)

simplify54.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (46.0ms)

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

prune195.0ms

Filtered

101 candidates to 75 candidates (74.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	100	1	101
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	100	5	105

Merged error: 0.0b

Counts

105 → 5

localize13.0ms

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)))

rewrite13.0ms

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:

5.0ms	(* (cbrt (fma t x (* y 5.0))) (cbrt (fma t x (* y 5.0))))
3.0ms	(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)))

series517.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(* (cbrt (fma t x (* y 5.0))) (cbrt (fma t x (* y 5.0))))
125.0ms	(cbrt (fma t x (* y 5.0)))
124.0ms	(cbrt (fma t x (* y 5.0)))
125.0ms	(cbrt (fma t x (* y 5.0)))

simplify70.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (58.0ms)

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

prune256.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	91	2	93
Fresh	0	2	2
Picked	0	1	1
Done	1	1	2
Total	92	6	98

Merged error: 0.0b

Counts

98 → 6

regimes120.0ms

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

sample690.0ms

Algorithm

intervals

Results

389.0ms	10657×	body	80	valid
13.0ms	81×	body	1280	valid
12.0ms	92×	body	640	valid
6.0ms	56×	body	320	valid
2.0ms	31×	body	160	valid