Details

sample193.0ms

Algorithm

intervals

Results

143.0ms

445×

body

valid

simplify508.0ms

Calls

1 calls:

Slowest

507.0ms

(fabs (* (/ 1 (sqrt PI)) (+ (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))))))

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize62.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt PI)
0.3b	(* (/ 1 (sqrt PI)) (+ (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))))
0.3b	(* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.2b	(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))

rewrite1.1m

Algorithm

rewrite-expression-head

Rules

4476×	`associate-*l/`
4446×	`frac-add`
2586×	`associate-/r*`
2184×	`frac-times`
2037×	`associate-/l*`
1995×	`add-sqr-sqrt`
1756×	`*-un-lft-identity`
1596×	`add-cube-cbrt`
1183×	`flip3-+` `flip-+`
679×	`clear-num` `frac-2neg`
563×	`sqrt-prod`
399×	`associate-l`
300×	`unswap-sqr`
197×	`associate-r`
182×	`associate-*r/`
181×	`add-exp-log`
129×	`distribute-lft-out`
128×	`prod-exp`
107×	`add-cbrt-cube`
70×	`times-frac` `cbrt-unprod`
51×	`pow1`
35×	`pow-prod-down`
34×	`div-inv`
22×	`*-commutative`
19×	`div-exp`
17×	`swap-sqr`
12×	`associate-+l+`
11×	`cbrt-undiv`
8×	`rec-exp` `1-exp`
6×	`distribute-rgt-in` `+-commutative` `distribute-lft-in`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Calls

4 calls:

Slowest

48.7s	(* (/ 1 (sqrt PI)) (+ (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))))
17.0s	(* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
82.0ms	(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
2.0ms	(sqrt PI)

series539.0ms

Calls

4 calls:

Slowest

366.0ms	(* (/ 1 (sqrt PI)) (+ (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))))
102.0ms	(* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
70.0ms	(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms	(sqrt PI)