Details

Algorithm

intervals

Results

92.0ms

463×

body

valid

Counts

1 → 1

Iterations

Useful iterations: 4 (1.7s)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

Local error

Found 4 expressions with local error:

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

Algorithm

rewrite-expression-head

Rules

26×	`add-cbrt-cube` `add-exp-log`
20×	`add-sqr-sqrt` `pow1`
19×	`associate-r`
14×	`-un-lft-identity` `associate-r/` `add-cube-cbrt`
12×	`prod-exp` `cbrt-unprod`
10×	`times-frac`
9×	`pow-prod-down`
5×	`frac-add`
4×	`add-log-exp` `unswap-sqr`
3×	`flip3-+` `associate-l` `*-commutative` `sqrt-prod` `flip-+`
2×	`distribute-rgt-in` `cbrt-undiv` `distribute-lft-in` `div-exp`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-inv`

Counts

4 → 98

Calls

4 calls:

33.0ms	(* (* (fabs x) (fabs x)) (/ 1.0 21.0))
82.0ms	(* (* (fabs x) (fabs x)) (+ (/ 1.0 5.0) (* (* (fabs x) (fabs x)) (/ 1.0 21.0))))
100.0ms	(* (* (fabs x) (fabs x)) (+ (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (+ (/ 1.0 5.0) (* (* (fabs x) (fabs x)) (/ 1.0 21.0))))))
1.0ms	(sqrt PI)

Counts

4 → 10

Calls

4 calls:

49.0ms	(* (* (fabs x) (fabs x)) (/ 1.0 21.0))
111.0ms	(* (* (fabs x) (fabs x)) (+ (/ 1.0 5.0) (* (* (fabs x) (fabs x)) (/ 1.0 21.0))))
171.0ms	(* (* (fabs x) (fabs x)) (+ (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (+ (/ 1.0 5.0) (* (* (fabs x) (fabs x)) (/ 1.0 21.0))))))
0.0ms	(sqrt PI)

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	205	36820