Details

sample20.0ms

Algorithm

intervals

Results

9.0ms	295×	body	80	valid
1.0ms	5×	body	640	valid
0.0ms	6×	body	320	valid
0.0ms	2×	body	1280	valid
0.0ms	4×	body	160	valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	19	4
1	45	3
2	73	3
3	86	3
4	87	3
5	87	3

prune6.0ms

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

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma d1 (+ 3.0 d2) (* d1 d3))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`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

1 → 10

Calls

1 calls:

1.0ms

(fma d1 (+ 3.0 d2) (* d1 d3))

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(fma d1 (+ 3.0 d2) (* d1 d3))

simplify62.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	38	59
1	82	52
2	364	52
3	2118	52
4	5001	52

prune31.0ms

Filtered

13 candidates to 11 candidates (84.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	11	2	13
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	12	3	15

Merged error: 0.0b

Counts

15 → 3

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma 3.0 d1 (fma d1 d3 (* d1 d2)))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`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

1 → 10

Calls

1 calls:

1.0ms

(fma 3.0 d1 (fma d1 d3 (* d1 d2)))

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

(fma 3.0 d1 (fma d1 d3 (* d1 d2)))

simplify120.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	32	58
1	97	51
2	536	51
3	3836	51
4	5001	51

prune24.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	13	3	16

Merged error: 0.0b

Counts

16 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma d1 (+ 3.0 d2) (* d1 d3))) (cbrt (fma d1 (+ 3.0 d2) (* d1 d3))))
0.6b	(cbrt (fma d1 (+ 3.0 d2) (* d1 d3)))
0.6b	(cbrt (fma d1 (+ 3.0 d2) (* d1 d3)))
0.6b	(cbrt (fma d1 (+ 3.0 d2) (* d1 d3)))

rewrite11.0ms

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 d1 (+ 3.0 d2) (* d1 d3))) (cbrt (fma d1 (+ 3.0 d2) (* d1 d3))))
1.0ms	(cbrt (fma d1 (+ 3.0 d2) (* d1 d3)))
1.0ms	(cbrt (fma d1 (+ 3.0 d2) (* d1 d3)))
1.0ms	(cbrt (fma d1 (+ 3.0 d2) (* d1 d3)))

series520.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(* (cbrt (fma d1 (+ 3.0 d2) (* d1 d3))) (cbrt (fma d1 (+ 3.0 d2) (* d1 d3))))
122.0ms	(cbrt (fma d1 (+ 3.0 d2) (* d1 d3)))
121.0ms	(cbrt (fma d1 (+ 3.0 d2) (* d1 d3)))
124.0ms	(cbrt (fma d1 (+ 3.0 d2) (* d1 d3)))

simplify118.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (108.0ms)

Iter	Nodes	Cost
0	319	1031
1	1005	945
2	4427	835
3	5001	742

prune218.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	93	3	96

Merged error: 0b

Counts

96 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma d1 (+ 3.0 d2) (* d1 d3)))
0.6b	(cbrt (fma d1 (+ 3.0 d2) (* d1 d3)))
0.6b	(cbrt (fma d1 (+ 3.0 d2) (* d1 d3)))
0.6b	(cbrt (fma d1 (+ 3.0 d2) (* d1 d3)))

rewrite6.0ms

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:

1.0ms	(cbrt (fma d1 (+ 3.0 d2) (* d1 d3)))
1.0ms	(cbrt (fma d1 (+ 3.0 d2) (* d1 d3)))
1.0ms	(cbrt (fma d1 (+ 3.0 d2) (* d1 d3)))
1.0ms	(cbrt (fma d1 (+ 3.0 d2) (* d1 d3)))

series499.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(cbrt (fma d1 (+ 3.0 d2) (* d1 d3)))
128.0ms	(cbrt (fma d1 (+ 3.0 d2) (* d1 d3)))
122.0ms	(cbrt (fma d1 (+ 3.0 d2) (* d1 d3)))
124.0ms	(cbrt (fma d1 (+ 3.0 d2) (* d1 d3)))

simplify123.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 4 (116.0ms)

Iter	Nodes	Cost
0	149	664
1	366	616
2	1163	564
3	4669	456
4	5001	452

prune220.0ms

Filtered

64 candidates to 60 candidates (93.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	64	3	67

Merged error: 0b

Counts

67 → 3

regimes49.0ms

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	8	3
1	8	3

end0.0ms

sample545.0ms

Algorithm

intervals

Results

290.0ms	9566×	body	80	valid
25.0ms	214×	body	640	valid
13.0ms	95×	body	1280	valid
12.0ms	144×	body	320	valid
5.0ms	89×	body	160	valid