Details

sample33.0ms

Algorithm

intervals

Results

16.0ms

337×

body

valid

simplify85.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	6	7
1	15	7
2	29	6
3	42	6
4	51	6
5	58	6
6	64	6
done	64	6

prune4.0ms

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	(fma (+ z x) y 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 x) y x)

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(fma (+ z x) y x)

simplify1.3s

Counts

13 → 13

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	19	116
1	30	113
2	62	95
3	237	95
4	1420	95
done	5000	95

prune42.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

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:

0.0ms	(fma (+ z x) y x)
3.0ms	(sqrt (fma (+ z x) y x))
3.0ms	(sqrt (fma (+ z x) y x))
18.0ms	(* (sqrt (fma (+ z x) y x)) (sqrt (fma (+ z x) y x)))

series68.0ms

Calls

1 calls:

52.0ms

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