Details

sample25.0ms

Algorithm

intervals

Results

12.0ms

293×

body

valid

simplify60.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	13	7
2	31	7
3	62	7
4	72	7
done	72	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (* (* y 4.0) z))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `fma-neg` `prod-diff` `add-log-exp`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `log1p-expm1-u`

Counts

1 → 20

Calls

1 calls:

6.0ms

(- x (* (* y 4.0) z))

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

(- x (* (* y 4.0) z))

simplify2.8s

Counts

23 → 23

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	45	273
1	109	265
2	402	233
3	1948	229
done	5000	205

prune91.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (* y 4.0) z))
0.0b	(sqrt (- x (* (* y 4.0) z)))
0.0b	(sqrt (- x (* (* y 4.0) z)))
0.3b	(* (sqrt (- x (* (* y 4.0) z))) (sqrt (- x (* (* y 4.0) z))))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-div`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3--` `flip--`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `unswap-sqr`
3×	`fma-neg` `prod-diff` `pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`pow2` `sub-neg` `pow-plus` `sqrt-unprod` `diff-log` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 113

Calls

4 calls:

8.0ms	(- x (* (* y 4.0) z))
21.0ms	(sqrt (- x (* (* y 4.0) z)))
15.0ms	(sqrt (- x (* (* y 4.0) z)))
45.0ms	(* (sqrt (- x (* (* y 4.0) z))) (sqrt (- x (* (* y 4.0) z))))