Details

sample10.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify14.0ms

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

prune6.0ms

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))

series33.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

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

simplify780.0ms

Counts

13 → 13

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	22	128
1	30	125
2	53	109
3	139	109
4	485	109
5	1863	109
done	5000	109

prune29.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

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:

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)))
6.0ms	(* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))

series508.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
119.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
122.0ms	(cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0)))
143.0ms	(* (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))) (cbrt (fma (/ 841.0 108.0) x (/ 4.0 29.0))))

simplify485.0ms

Iterations

Useful iterations: 2 (107.0ms)

Iter	Nodes	Cost
0	164	2210
1	379	2059
2	1264	1898