Details

sample12.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify16.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	9	9
1	14	8
2	18	8
3	20	8
4	22	8
5	24	8
6	25	8
done	25	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (/ 841.0 108.0) x (/ 4.0 29.0))

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 (/ 841.0 108.0) x (/ 4.0 29.0))

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(fma (/ 841.0 108.0) x (/ 4.0 29.0))

simplify1.5s

Counts

13 → 13

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	22	128
1	30	125
2	53	109
3	139	109
4	480	109
5	1822	109
done	5000	109

prune40.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.7b	(* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
0.8b	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.8b	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.8b	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

rewrite10.0ms

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 (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
0.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
1.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

series591.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
144.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
138.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
144.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

simplify1.8s

Counts

93 → 93

Iterations

Useful iterations: 3 (608.0ms)

Iter	Nodes	Cost
0	164	2210
1	376	2059
2	1207	1898
3	4802	1555
done	5000	1555

prune287.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.8b	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.8b	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.8b	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.9b	(pow (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) 4)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 65

Calls

4 calls:

0.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
3.0ms	(pow (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) 4)

series655.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
137.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
144.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
229.0ms	(pow (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) 4)

simplify555.0ms

Counts

77 → 77

Iterations

Useful iterations: done (551.0ms)

Iter	Nodes	Cost
0	173	1719
1	402	1646
2	1230	1510
done	5000	1349

prune350.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.8b	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.8b	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.8b	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.8b	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

rewrite3.0ms

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:

0.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
0.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
1.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

series570.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
147.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
139.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
145.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

simplify836.0ms

Counts

64 → 64

Iterations

Useful iterations: 3 (237.0ms)

Iter	Nodes	Cost
0	85	1384
1	190	1336
2	583	1232
3	2255	1072
done	5000	1072

prune264.0ms

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 0.0b

regimes45.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	8
done	8	8

end0.0ms

sample252.0ms

Algorithm

intervals

Results

163.0ms	8005×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	160	valid