Details

sample17.0ms

Algorithm

intervals

Results

7.0ms	293×	body	80	valid
1.0ms	9×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	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

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(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:

0.0ms

(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

prune35.0ms

Filtered

13 candidates to 11 candidates (84.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite1.0ms

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:

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

series76.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(fma d1 d3 (* d1 d2))
42.0ms	(fma 3.0 d1 (fma d1 d3 (* d1 d2)))

simplify29.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (3.0ms)

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

prune59.0ms

Filtered

26 candidates to 20 candidates (76.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

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))))
0.6b	(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)))

rewrite9.0ms

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))))
0.0ms	(cbrt (fma d1 (+ 3.0 d2) (* d1 d3)))
0.0ms	(cbrt (fma d1 (+ 3.0 d2) (* d1 d3)))
1.0ms	(cbrt (fma d1 (+ 3.0 d2) (* d1 d3)))

series510.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(* (cbrt (fma d1 (+ 3.0 d2) (* d1 d3))) (cbrt (fma d1 (+ 3.0 d2) (* d1 d3))))
124.0ms	(cbrt (fma d1 (+ 3.0 d2) (* d1 d3)))
119.0ms	(cbrt (fma d1 (+ 3.0 d2) (* d1 d3)))
123.0ms	(cbrt (fma d1 (+ 3.0 d2) (* d1 d3)))

simplify114.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (104.0ms)

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

prune249.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (sqrt (fma d1 (+ 3.0 d2) (* d1 d3))))
0.3b	(cbrt (sqrt (fma d1 (+ 3.0 d2) (* d1 d3))))
0.3b	(cbrt (sqrt (fma d1 (+ 3.0 d2) (* d1 d3))))
0.6b	(cbrt (fma d1 (+ 3.0 d2) (* d1 d3)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`sqrt-prod`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 61

Calls

4 calls:

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

series487.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(cbrt (sqrt (fma d1 (+ 3.0 d2) (* d1 d3))))
124.0ms	(cbrt (sqrt (fma d1 (+ 3.0 d2) (* d1 d3))))
120.0ms	(cbrt (sqrt (fma d1 (+ 3.0 d2) (* d1 d3))))
121.0ms	(cbrt (fma d1 (+ 3.0 d2) (* d1 d3)))

simplify53.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 3 (45.0ms)

Iter	Nodes	Cost
0	261	823
1	631	760
2	1954	657
3	5001	609

prune263.0ms

Filtered

73 candidates to 63 candidates (86.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes55.0ms

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

sample475.0ms

Algorithm

intervals

Results

234.0ms	9548×	body	80	valid
19.0ms	216×	body	640	valid
10.0ms	149×	body	320	valid
8.0ms	75×	body	1280	valid
4.0ms	80×	body	160	valid