Details

sample13.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify29.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	9	9
1	14	8
2	19	8
3	21	8
4	23	8
5	25	8
6	26	8
done	26	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

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))

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

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

simplify1.8s

Counts

13 → 13

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	22	128
1	30	125
2	54	109
3	162	109
4	604	109
5	2554	109
done	5001	109

prune31.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize9.0ms

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)))

rewrite19.0ms

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:

14.0ms	(* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
1.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
1.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
1.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

series524.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))
130.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
125.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
123.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))

simplify1.4s

Counts

93 → 93

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	164	2210
1	376	2055
2	1096	1898
3	3635	1555
done	5000	1553

prune483.0ms

Pruning

6 alts after pruning (4 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)))
1.0b	(pow (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) 4)

rewrite9.0ms

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:

1.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
1.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
1.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
5.0ms	(pow (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) 4)

series581.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
124.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
124.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
207.0ms	(pow (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) 4)

simplify1.5s

Counts

77 → 77

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	173	1719
1	402	1605
2	1139	1495
3	3976	1337
done	5000	1335

prune305.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize19.0ms

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)))
1.0b	(pow (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) 4)

rewrite9.0ms

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:

1.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
1.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
1.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
5.0ms	(pow (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) 4)

series568.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
123.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
126.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
196.0ms	(pow (cbrt (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))) 4)

simplify1.4s

Counts

77 → 77

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	173	1719
1	402	1605
2	1139	1495
3	3976	1337
done	5000	1335

prune318.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0.0b

regimes44.0ms

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

sample287.0ms

Algorithm

intervals

Results

162.0ms	8006×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	2×	body	160	valid