Details

sample20.0ms

Algorithm

intervals

Results

10.0ms

346×

body

valid

simplify2.9s

Counts

1 → 1

Iterations

Useful iterations: 2 (3.0ms)

Iter	Nodes	Cost
0	6	7
1	10	7
2	19	6
3	35	6
4	52	6
5	69	6
6	83	6
7	104	6
8	140	6
9	178	6
10	227	6
11	258	6
12	274	6
13	296	6
14	317	6
15	346	6
16	434	6
17	510	6
18	621	6
19	683	6
20	765	6
21	775	6
22	777	6
done	777	6

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma z (- y x) x)

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:

1.0ms

(fma z (- y x) x)

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

(fma z (- y x) x)

simplify1.3s

Counts

13 → 13

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	19	116
1	32	113
2	67	95
3	243	95
4	1485	95
done	5000	95

prune52.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 91

Calls

4 calls:

1.0ms	(fma z (- y x) x)
3.0ms	(sqrt (fma z (- y x) x))
2.0ms	(sqrt (fma z (- y x) x))
17.0ms	(* (sqrt (fma z (- y x) x)) (sqrt (fma z (- y x) x)))

series62.0ms

Calls

1 calls:

46.0ms

(* (sqrt (fma z (- y x) x)) (sqrt (fma z (- y x) x)))