Details

sample140.0ms

Algorithm

intervals

Results

69.0ms	130×	body	160	valid
31.0ms	126×	body	80	valid

simplify502.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

502.0ms

(- 1 (* (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))))

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.3b

localize46.0ms

Local error

Found 4 expressions with local error:

14.2b	(- 1 (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))
0.4b	(+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592)
0.2b	(/ (+ -0.284496736 (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911)))
0.2b	(/ 1.061405429 (+ 1 (* (fabs x) 0.3275911)))

rewrite8.2s

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt` `*-un-lft-identity`
27×	`times-frac`
21×	`add-cube-cbrt`
8×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
7×	`associate-/l*`
6×	`associate-/r*` `difference-of-squares`
5×	`distribute-lft-out`
4×	`pow1` `flip3-+` `associate-/r/` `flip-+` `insert-posit16`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv` `associate-/l/`
1×	`+-commutative` `sum-log` `sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--`

Counts

4 → 99

Calls

4 calls:

Slowest

5.2s	(- 1 (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))
1.8s	(+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592)
1.3s	(/ (+ -0.284496736 (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911)))
6.0ms	(/ 1.061405429 (+ 1 (* (fabs x) 0.3275911)))

series1.8s

Counts

4 → 12

Calls

4 calls:

Slowest

935.0ms	(- 1 (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))
461.0ms	(+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592)
368.0ms	(/ (+ -0.284496736 (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911)))
43.0ms	(/ 1.061405429 (+ 1 (* (fabs x) 0.3275911)))

simplify12.4s

Counts

90 → 111

Calls

90 calls:

Slowest

712.0ms	(- 1 (sqrt (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x))))))
701.0ms	(- (sqrt 1) (sqrt (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x))))))
699.0ms	(+ (sqrt 1) (sqrt (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x))))))
697.0ms	(+ 1 (sqrt (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x))))))
632.0ms	(+ (* 1 1) (- (* (* (fabs x) 0.3275911) (* (fabs x) 0.3275911)) (* 1 (* (fabs x) 0.3275911))))

prune1.6s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 14.2b

localize89.0ms

Local error

Found 4 expressions with local error:

14.2b	(- 1 (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))
0.4b	(+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592)
0.2b	(/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911))))
0.2b	(/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911))))

rewrite14.2s

Algorithm

rewrite-expression-head

Rules

294×	`times-frac`
175×	`add-sqr-sqrt`
167×	`*-un-lft-identity`
160×	`add-cube-cbrt`
150×	`sqrt-prod`
27×	`associate-/l*`
18×	`sqrt-div` `associate-/r/`
12×	`associate-/r*`
11×	`add-cbrt-cube` `add-exp-log`
10×	`flip3-+` `flip-+`
9×	`div-inv`
8×	`add-log-exp`
6×	`difference-of-squares`
4×	`pow1` `cbrt-undiv` `div-exp` `insert-posit16`
2×	`clear-num` `frac-2neg`
1×	`+-commutative` `sum-log` `sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out` `distribute-lft-out--` `associate-/l/`

Counts

4 → 267

Calls

4 calls:

Slowest

10.6s	(- 1 (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))
3.6s	(+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592)
16.0ms	(/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911))))
6.0ms	(/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911))))

series1.5s

Counts

4 → 12

Calls

4 calls:

Slowest

939.0ms	(- 1 (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))
421.0ms	(+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592)
87.0ms	(/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911))))
37.0ms	(/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911))))

simplify28.6s

Counts

398 → 279

Calls

398 calls:

Slowest

684.0ms	(/ (/ 1.061405429 (sqrt (+ (pow 1 3) (pow (* (fabs x) 0.3275911) 3)))) (sqrt (sqrt (+ 1 (* (fabs x) 0.3275911)))))
554.0ms	(/ (/ (* (* 1.061405429 1.061405429) 1.061405429) (* (* (sqrt (+ 1 (* (fabs x) 0.3275911))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911))))) (* (* (sqrt (+ 1 (* (fabs x) 0.3275911))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))))
541.0ms	(- (+ (* 1.453152027 (/ 1 (* (exp (pow (fabs x) 2)) (pow (+ (* 0.3275911 (fabs x)) 1) 4)))) (+ (* 0.284496736 (/ 1 (* (exp (pow (fabs x) 2)) (pow (+ (* 0.3275911 (fabs x)) 1) 2)))) 1)) (+ (* 1.421413741 (/ 1 (* (exp (pow (fabs x) 2)) (pow (+ (* 0.3275911 (fabs x)) 1) 3)))) (+ (* 1.061405429 (/ 1 (* (exp (pow (fabs x) 2)) (pow (+ (* 0.3275911 (fabs x)) 1) 5)))) (* 0.254829592 (/ 1 (* (exp (pow (fabs x) 2)) (+ (* 0.3275911 (fabs x)) 1)))))))
499.0ms	(- (+ (* 0.284496736 (/ 1 (* (pow (+ (* 0.3275911 (fabs x)) 1) 2) (exp (pow (fabs x) 2))))) (+ (* 1.453152027 (/ 1 (* (pow (+ (* 0.3275911 (fabs x)) 1) 4) (exp (pow (fabs x) 2))))) 1)) (+ (* 0.254829592 (/ 1 (* (exp (pow (fabs x) 2)) (+ (* 0.3275911 (fabs x)) 1)))) (+ (* 1.421413741 (/ 1 (* (pow (+ (* 0.3275911 (fabs x)) 1) 3) (exp (pow (fabs x) 2))))) (* 1.061405429 (/ 1 (* (pow (+ (* 0.3275911 (fabs x)) 1) 5) (exp (pow (fabs x) 2))))))))
481.0ms	(+ 1 (sqrt (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x))))))

prune5.0s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 14.2b

localize251.0ms

Local error

Found 4 expressions with local error:

13.6b	(- (pow 1 3) (pow (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))) 3))
0.8b	(pow (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))) 3)
0.5b	(* (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))) (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))
0.5b	(+ (* (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))) (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x))))) (* 1 (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x))))))

rewrite44.5s

Algorithm

rewrite-expression-head

Rules

666×	`times-frac`
476×	`*-un-lft-identity`
425×	`add-sqr-sqrt`
287×	`add-cube-cbrt`
96×	`unpow-prod-down` `cube-prod`
76×	`swap-sqr`
72×	`distribute-lft-out`
58×	`associate-r` `associate-l`
48×	`difference-of-squares`
46×	`add-cbrt-cube`
36×	`associate-/r/`
32×	`add-exp-log`
24×	`div-inv`
21×	`cbrt-undiv` `div-exp`
19×	`flip3-+` `flip-+`
15×	`sqr-pow`
12×	`pow1`
9×	`prod-exp` `cbrt-unprod` `unswap-sqr`
8×	`add-log-exp`
6×	`distribute-lft-out--`
5×	`associate-*r/`
4×	`insert-posit16`
3×	`pow-unpow` `frac-add` `pow-exp` `rem-cube-cbrt`
2×	`cube-mult` `frac-times` `associate-*l/`
1×	`cube-div` `pow2` `pow-to-exp` `difference-cubes` `+-commutative` `sum-log` `sub-neg` `pow-pow` `pow-plus` `distribute-rgt-out` `flip3--` `diff-log` `unpow3` `pow-prod-down` `pow-sqr` `*-commutative` `pow-prod-up` `flip--`

Counts

4 → 459

Calls

4 calls:

Slowest

19.6s	(* (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))) (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))
12.2s	(- (pow 1 3) (pow (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))) 3))
7.5s	(+ (* (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))) (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x))))) (* 1 (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x))))))
5.1s	(pow (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))) 3)

series9.0s

Counts

4 → 12

Calls

4 calls:

Slowest

4.5s	(- (pow 1 3) (pow (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))) 3))
3.1s	(+ (* (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))) (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x))))) (* 1 (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x))))))
697.0ms	(* (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))) (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))
697.0ms	(pow (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))) 3)

simplify3.9m

Counts

569 → 471

Calls

569 calls:

Slowest

2.0s	(* (/ (/ (* (* (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592)) (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592)) (* (* (+ 1 (* (fabs x) 0.3275911)) (+ 1 (* (fabs x) 0.3275911))) (+ 1 (* (fabs x) 0.3275911)))) (* (* (exp (* (fabs x) (fabs x))) (exp (* (fabs x) (fabs x)))) (exp (* (fabs x) (fabs x))))) (/ (/ (* (* (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592)) (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592)) (* (* (+ 1 (* (fabs x) 0.3275911)) (+ 1 (* (fabs x) 0.3275911))) (+ 1 (* (fabs x) 0.3275911)))) (* (* (exp (* (fabs x) (fabs x))) (exp (* (fabs x) (fabs x)))) (exp (* (fabs x) (fabs x))))))
2.0s	(* (exp (* (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))) (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))) (exp (* 1 (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))))
1.6s	(+ (* 1 1) (+ (* (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))) (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x))))) (* 1 (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))))
1.6s	(pow (/ (/ (sqrt (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592)) (* (cbrt (+ 1 (* (fabs x) 0.3275911))) (cbrt (+ 1 (* (fabs x) 0.3275911))))) (sqrt (exp (* (fabs x) (fabs x))))) 3)
1.6s	(* (/ (* (* (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911)))) (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911)))) (* (* (exp (* (fabs x) (fabs x))) (exp (* (fabs x) (fabs x)))) (exp (* (fabs x) (fabs x))))) (* (* (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))) (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x))))) (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x))))))

prune13.6s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 13.4b

localize226.0ms

Local error

Found 4 expressions with local error:

13.6b	(- (pow 1 3) (* (sqrt (pow (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))) 3)) (sqrt (pow (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))) 3))))
0.8b	(pow (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))) 3)
0.8b	(pow (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))) 3)
0.5b	(* (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))) (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))

rewrite37.3s

Algorithm

rewrite-expression-head

Rules

810×	`times-frac`
574×	`*-un-lft-identity`
413×	`add-sqr-sqrt`
374×	`add-cube-cbrt`
118×	`unpow-prod-down` `cube-prod`
90×	`distribute-lft-out`
76×	`swap-sqr`
58×	`associate-r` `associate-l`
52×	`add-cbrt-cube`
48×	`associate-/r/`
36×	`add-exp-log`
32×	`div-inv`
24×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+`
13×	`pow1`
9×	`prod-exp` `cbrt-unprod` `unswap-sqr`
6×	`pow-unpow` `pow-exp` `add-log-exp` `rem-cube-cbrt` `difference-of-squares`
4×	`insert-posit16`
3×	`sqr-pow`
2×	`cube-div` `cube-mult` `pow-to-exp` `pow-pow` `unpow3`
1×	`pow2` `frac-times` `sub-neg` `pow-plus` `flip3--` `diff-log` `pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `*-commutative` `pow-prod-up` `flip--`

Counts

4 → 533

Calls

4 calls:

Slowest

19.1s	(* (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))) (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))
8.1s	(- (pow 1 3) (* (sqrt (pow (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))) 3)) (sqrt (pow (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))) 3))))
5.1s	(pow (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))) 3)
4.9s	(pow (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))) 3)

series5.9s

Counts

4 → 12

Calls

4 calls:

Slowest

3.9s	(- (pow 1 3) (* (sqrt (pow (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))) 3)) (sqrt (pow (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))) 3))))
697.0ms	(pow (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))) 3)
690.0ms	(* (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))) (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))
684.0ms	(pow (/ (/ (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))) 3)

simplify3.0m

Counts

590 → 545

Calls

590 calls:

Slowest

1.6s	(pow (/ (/ (sqrt (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592)) (* (cbrt (+ 1 (* (fabs x) 0.3275911))) (cbrt (+ 1 (* (fabs x) 0.3275911))))) (sqrt (exp (* (fabs x) (fabs x))))) 3)
1.4s	(pow (/ (/ (sqrt (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592)) (* (cbrt (+ 1 (* (fabs x) 0.3275911))) (cbrt (+ 1 (* (fabs x) 0.3275911))))) (sqrt (exp (* (fabs x) (fabs x))))) 3)
1.3s	(pow (/ (/ (* (cbrt (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592)) (cbrt (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592))) (* (cbrt (+ 1 (* (fabs x) 0.3275911))) (cbrt (+ 1 (* (fabs x) 0.3275911))))) 1) 3)
1.2s	(* (/ (/ (* (* (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592)) (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592)) (* (* (+ 1 (* (fabs x) 0.3275911)) (+ 1 (* (fabs x) 0.3275911))) (+ 1 (* (fabs x) 0.3275911)))) (* (* (exp (* (fabs x) (fabs x))) (exp (* (fabs x) (fabs x)))) (exp (* (fabs x) (fabs x))))) (/ (/ (* (* (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592) (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592)) (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592)) (* (* (+ 1 (* (fabs x) 0.3275911)) (+ 1 (* (fabs x) 0.3275911))) (+ 1 (* (fabs x) 0.3275911)))) (* (* (exp (* (fabs x) (fabs x))) (exp (* (fabs x) (fabs x)))) (exp (* (fabs x) (fabs x))))))
1.1s	(pow (/ (/ (* (cbrt (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592)) (cbrt (+ (/ (+ -0.284496736 (/ (+ (/ (+ (/ (/ 1.061405429 (sqrt (+ 1 (* (fabs x) 0.3275911)))) (sqrt (+ 1 (* (fabs x) 0.3275911)))) -1.453152027) (+ 1 (* (fabs x) 0.3275911))) 1.421413741) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) 0.254829592))) (* (cbrt (+ 1 (* (fabs x) 0.3275911))) (cbrt (+ 1 (* (fabs x) 0.3275911))))) 1) 3)