Details

sample22.0ms

Algorithm

intervals

Results

9.0ms	300×	body	80	valid
1.0ms	11×	body	640	valid
1.0ms	8×	body	320	valid
1.0ms	4×	body	1280	valid
0.0ms	4×	body	160	valid

simplify11.0ms

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:

31.0ms

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

simplify63.0ms

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

prune34.0ms

Filtered

13 candidates to 11 candidates (84.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 0.0b

Counts

15 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma d1 d3 (* d1 d2))
0.1b	(fma 3.0 d1 (fma d1 d3 (* d1 d2)))

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

series76.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(fma d1 d3 (* d1 d2))
43.0ms	(fma 3.0 d1 (fma d1 d3 (* d1 d2)))

simplify30.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	42	101
1	148	89
2	789	89
3	5001	89

prune52.0ms

Filtered

26 candidates to 20 candidates (76.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

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

Merged error: 0.0b

Counts

28 → 3

localize9.0ms

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

6.0ms	(* (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)))

series517.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(* (cbrt (fma d1 (+ 3.0 d2) (* d1 d3))) (cbrt (fma d1 (+ 3.0 d2) (* d1 d3))))
121.0ms	(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)))

simplify121.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (110.0ms)

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

prune223.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	92	4	96

Merged error: 0.0b

Counts

96 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cbrt-prod`
5×	`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 → 46

Calls

4 calls:

1.0ms	(cbrt (fma d1 (+ 3.0 d2) (* d1 d3)))
4.0ms	(cbrt (* (cbrt (fma d1 (+ 3.0 d2) (* d1 d3))) (cbrt (fma d1 (+ 3.0 d2) (* d1 d3)))))
4.0ms	(cbrt (* (cbrt (fma d1 (+ 3.0 d2) (* d1 d3))) (cbrt (fma d1 (+ 3.0 d2) (* d1 d3)))))
4.0ms	(cbrt (* (cbrt (fma d1 (+ 3.0 d2) (* d1 d3))) (cbrt (fma d1 (+ 3.0 d2) (* d1 d3)))))

series570.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(cbrt (fma d1 (+ 3.0 d2) (* d1 d3)))
150.0ms	(cbrt (* (cbrt (fma d1 (+ 3.0 d2) (* d1 d3))) (cbrt (fma d1 (+ 3.0 d2) (* d1 d3)))))
149.0ms	(cbrt (* (cbrt (fma d1 (+ 3.0 d2) (* d1 d3))) (cbrt (fma d1 (+ 3.0 d2) (* d1 d3)))))
151.0ms	(cbrt (* (cbrt (fma d1 (+ 3.0 d2) (* d1 d3))) (cbrt (fma d1 (+ 3.0 d2) (* d1 d3)))))

simplify64.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 3 (55.0ms)

Iter	Nodes	Cost
0	280	856
1	714	763
2	2381	693
3	5002	590

prune199.0ms

Filtered

58 candidates to 54 candidates (93.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	58	4	62

Merged error: 0.0b

Counts

62 → 4

regimes63.0ms

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

sample552.0ms

Algorithm

intervals

Results

293.0ms	9590×	body	80	valid
25.0ms	217×	body	640	valid
12.0ms	149×	body	320	valid
11.0ms	84×	body	1280	valid
5.0ms	90×	body	160	valid