Details

sample25.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
7.0ms	269×	body	80	nan

simplify78.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	11	14
1	21	14
2	40	13
3	66	13
4	90	13
5	114	13
6	127	13
7	129	13
done	129	13

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (sqrt x) 4.0 (+ x 1.0))
0.0b	(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
0.0b	(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
103×	`add-sqr-sqrt` `*-un-lft-identity`
71×	`add-cube-cbrt`
26×	`associate-/r*`
16×	`distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`fma-udef`

Counts

3 → 153

Calls

3 calls:

0.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
6.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
9.0ms	(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

series211.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(fma (sqrt x) 4.0 (+ x 1.0))
75.0ms	(/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0))
90.0ms	(/ 6.0 (/ (fma (sqrt x) 4.0 (+ x 1.0)) (- x 1.0)))

simplify621.0ms

Counts

162 → 162

Iterations

Useful iterations: 2 (172.0ms)

Iter	Nodes	Cost
0	250	3612
1	568	3468
2	2149	3294
done	5001	3294

prune422.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (fma (sqrt x) 4.0 (+ x 1.0))) (cbrt (fma (sqrt x) 4.0 (+ x 1.0))))
0.3b	(cbrt (fma (sqrt x) 4.0 (+ x 1.0)))
0.3b	(cbrt (fma (sqrt x) 4.0 (+ x 1.0)))
0.3b	(cbrt (fma (sqrt x) 4.0 (+ x 1.0)))

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:

6.0ms	(* (cbrt (fma (sqrt x) 4.0 (+ x 1.0))) (cbrt (fma (sqrt x) 4.0 (+ x 1.0))))
0.0ms	(cbrt (fma (sqrt x) 4.0 (+ x 1.0)))
0.0ms	(cbrt (fma (sqrt x) 4.0 (+ x 1.0)))
1.0ms	(cbrt (fma (sqrt x) 4.0 (+ x 1.0)))

series643.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(* (cbrt (fma (sqrt x) 4.0 (+ x 1.0))) (cbrt (fma (sqrt x) 4.0 (+ x 1.0))))
153.0ms	(cbrt (fma (sqrt x) 4.0 (+ x 1.0)))
160.0ms	(cbrt (fma (sqrt x) 4.0 (+ x 1.0)))
158.0ms	(cbrt (fma (sqrt x) 4.0 (+ x 1.0)))

simplify301.0ms

Iterations

Useful iterations: 2 (90.0ms)

Iter	Nodes	Cost
0	112	1791
1	262	1652
2	769	1510