Details

Algorithm

intervals

Results

48.0ms

463×

body

valid

Counts

1 → 1

Iterations

Useful iterations: 4 (2.9s)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

Local error

Found 4 expressions with local error:

0.1b	(* (* (fabs x) (fabs x)) (* (fabs x) (fabs x)))
0.2b	(* (/ 1.0 (sqrt PI)) (* (fabs x) (+ (fma (/ 2.0 3.0) (* (fabs x) (fabs x)) (* (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (fma (* (fabs x) (fabs x)) (/ 1.0 21.0) (/ 1.0 5.0)))) 2.0)))
0.2b	(fma (/ 2.0 3.0) (* (fabs x) (fabs x)) (* (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (fma (* (fabs x) (fabs x)) (/ 1.0 21.0) (/ 1.0 5.0))))
1.0b	(sqrt PI)

Algorithm

rewrite-expression-head

Rules

121×	`pow1`
36×	`pow-prod-up`
28×	`add-cbrt-cube` `add-exp-log`
26×	`pow-prod-down`
23×	`associate-l`
22×	`pow-sqr`
19×	`add-sqr-sqrt`
18×	`*-un-lft-identity` `times-frac` `pow-plus` `add-cube-cbrt`
14×	`prod-exp` `cbrt-unprod`
13×	`pow2`
12×	`sqrt-prod`
6×	`associate-*r/`
4×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `log1p-expm1-u` `add-log-exp`
2×	`frac-times` `cbrt-undiv` `flip3-+` `div-exp` `associate-r` `*-commutative` `flip-+`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `swap-sqr` `associate-*l/` `fma-udef` `div-inv` `unswap-sqr`

Counts

4 → 142

Calls

4 calls:

44.0ms	(* (* (fabs x) (fabs x)) (* (fabs x) (fabs x)))
72.0ms	(* (/ 1.0 (sqrt PI)) (* (fabs x) (+ (fma (/ 2.0 3.0) (* (fabs x) (fabs x)) (* (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (fma (* (fabs x) (fabs x)) (/ 1.0 21.0) (/ 1.0 5.0)))) 2.0)))
0.0ms	(fma (/ 2.0 3.0) (* (fabs x) (fabs x)) (* (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (fma (* (fabs x) (fabs x)) (/ 1.0 21.0) (/ 1.0 5.0))))
2.0ms	(sqrt PI)

Counts

4 → 10

Calls

4 calls:

50.0ms	(* (* (fabs x) (fabs x)) (* (fabs x) (fabs x)))
358.0ms	(* (/ 1.0 (sqrt PI)) (* (fabs x) (+ (fma (/ 2.0 3.0) (* (fabs x) (fabs x)) (* (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (fma (* (fabs x) (fabs x)) (/ 1.0 21.0) (/ 1.0 5.0)))) 2.0)))
191.0ms	(fma (/ 2.0 3.0) (* (fabs x) (fabs x)) (* (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (fma (* (fabs x) (fabs x)) (/ 1.0 21.0) (/ 1.0 5.0))))
0.0ms	(sqrt PI)

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	203	57459