Details

sample42.0ms

Algorithm

intervals

Results

14.0ms	126×	body	160	valid
7.0ms	130×	body	80	valid

simplify1.4s

Counts

1 → 1

Iterations

Useful iterations: 3 (79.0ms)

Iter	Nodes	Cost
0	26	64
1	82	64
2	246	64
3	766	63
4	3186	63
done	5000	63

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
0.2b	(* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429)))))))))
0.4b	(+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))
13.8b	(- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac`
15×	`associate-l`
11×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
6×	`pow1`
5×	`flip3-+` `flip-+`
4×	`associate-/r/`
3×	`associate-r` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `distribute-rgt-in` `frac-times` `associate-+r+` `distribute-lft-in` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`+-commutative` `sub-neg` `flip3--` `frac-2neg` `diff-log` `pow-prod-down` `associate-l/` `clear-num` `sum-log` `-commutative` `flip--`

Counts

4 → 94

Calls

4 calls:

4.0ms	(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
20.0ms	(* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429)))))))))
2.0ms	(+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))
2.0ms	(- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))))

series1.6s

Counts

4 → 12

Calls

4 calls:

34.0ms	(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
391.0ms	(* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429)))))))))
319.0ms	(+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))
827.0ms	(- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))))

simplify1.0s

Counts

106 → 106

Iterations

Useful iterations: 2 (429.0ms)

Iter	Nodes	Cost
0	210	6134
1	670	5914
2	2711	5261
done	5000	5261

prune459.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 13.8b

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (/ (cbrt 1.0) (sqrt (+ 1.0 (* 0.3275911 (fabs x)))))) 1.061405429)))))))))
0.3b	(* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (/ (cbrt 1.0) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))))
0.4b	(+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (/ (cbrt 1.0) (sqrt (+ 1.0 (* 0.3275911 (fabs x)))))) 1.061405429))))))))
13.8b	(- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (/ (cbrt 1.0) (sqrt (+ 1.0 (* 0.3275911 (fabs x)))))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

87×	`add-sqr-sqrt`
74×	`times-frac`
45×	`associate-r`
40×	`add-cube-cbrt` `*-un-lft-identity`
32×	`sqrt-prod`
30×	`add-exp-log`
27×	`associate-l`
24×	`cbrt-prod`
23×	`add-cbrt-cube`
17×	`unswap-sqr`
10×	`prod-exp` `cbrt-unprod`
8×	`pow1` `cbrt-undiv` `div-exp` `add-log-exp`
6×	`flip3-+` `associate-/r/` `flip-+`
4×	`sqrt-div`
3×	`frac-times` `associate-*r/` `div-inv`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `pow-prod-down` `associate-l/` `-commutative`
1×	`+-commutative` `sub-neg` `flip3--` `diff-log` `sum-log` `flip--`

Counts

4 → 158

Calls

4 calls:

16.0ms	(* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (/ (cbrt 1.0) (sqrt (+ 1.0 (* 0.3275911 (fabs x)))))) 1.061405429)))))))))
48.0ms	(* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (/ (cbrt 1.0) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))))
3.0ms	(+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (/ (cbrt 1.0) (sqrt (+ 1.0 (* 0.3275911 (fabs x)))))) 1.061405429))))))))
2.0ms	(- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (/ (cbrt 1.0) (sqrt (+ 1.0 (* 0.3275911 (fabs x)))))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))))

series1.9s

Counts

4 → 12

Calls

4 calls:

467.0ms	(* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (/ (cbrt 1.0) (sqrt (+ 1.0 (* 0.3275911 (fabs x)))))) 1.061405429)))))))))
96.0ms	(* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (/ (cbrt 1.0) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))))
377.0ms	(+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (/ (cbrt 1.0) (sqrt (+ 1.0 (* 0.3275911 (fabs x)))))) 1.061405429))))))))
931.0ms	(- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (/ (cbrt 1.0) (sqrt (+ 1.0 (* 0.3275911 (fabs x)))))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))))

simplify1.7s

Counts

170 → 170

Iterations

Useful iterations: 2 (826.0ms)

Iter	Nodes	Cost
0	341	10230
1	1114	9783
2	4577	7454
done	5000	7454

prune806.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 13.8b

localize44.0ms

Local error

Found 4 expressions with local error:

0.4b	(+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ (pow (cbrt 1.0) 3) (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))) -0.284496736)) 0.254829592)
0.4b	(+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ (pow (cbrt 1.0) 3) (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))) -0.284496736)) 0.254829592)
0.5b	(* (/ (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ (pow (cbrt 1.0) 3) (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))) -0.284496736)) 0.254829592) (exp (pow (fabs x) 2))) (/ (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ (pow (cbrt 1.0) 3) (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))) -0.284496736)) 0.254829592) (exp (pow (fabs x) 2))))
10.7b	(- (* 1.0 1.0) (* (/ (* 1.0 1.0) (pow (+ 1.0 (* 0.3275911 (fabs x))) 2)) (* (/ (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ (pow (cbrt 1.0) 3) (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))) -0.284496736)) 0.254829592) (exp (pow (fabs x) 2))) (/ (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ (pow (cbrt 1.0) 3) (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))) -0.284496736)) 0.254829592) (exp (pow (fabs x) 2))))))

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
40×	`times-frac`
32×	`add-cube-cbrt` `*-un-lft-identity`
16×	`add-cbrt-cube`
13×	`swap-sqr` `associate-r` `associate-l`
12×	`add-exp-log`
11×	`pow1`
10×	`add-log-exp`
4×	`cbrt-undiv` `associate-+l+` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
2×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `flip3-+` `sum-log` `flip-+`
1×	`pow2` `frac-times` `sub-neg` `flip3--` `pow-plus` `diff-log` `associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `*-commutative` `pow-prod-up` `flip--`

Counts

4 → 105

Calls

4 calls:

14.0ms	(+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ (pow (cbrt 1.0) 3) (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))) -0.284496736)) 0.254829592)
14.0ms	(+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ (pow (cbrt 1.0) 3) (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))) -0.284496736)) 0.254829592)
108.0ms	(* (/ (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ (pow (cbrt 1.0) 3) (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))) -0.284496736)) 0.254829592) (exp (pow (fabs x) 2))) (/ (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ (pow (cbrt 1.0) 3) (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))) -0.284496736)) 0.254829592) (exp (pow (fabs x) 2))))
3.0ms	(- (* 1.0 1.0) (* (/ (* 1.0 1.0) (pow (+ 1.0 (* 0.3275911 (fabs x))) 2)) (* (/ (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ (pow (cbrt 1.0) 3) (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))) -0.284496736)) 0.254829592) (exp (pow (fabs x) 2))) (/ (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ (pow (cbrt 1.0) 3) (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))) -0.284496736)) 0.254829592) (exp (pow (fabs x) 2))))))

series3.0s

Counts

4 → 12

Calls

4 calls:

312.0ms	(+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ (pow (cbrt 1.0) 3) (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))) -0.284496736)) 0.254829592)
307.0ms	(+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ (pow (cbrt 1.0) 3) (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))) -0.284496736)) 0.254829592)
448.0ms	(* (/ (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ (pow (cbrt 1.0) 3) (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))) -0.284496736)) 0.254829592) (exp (pow (fabs x) 2))) (/ (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ (pow (cbrt 1.0) 3) (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))) -0.284496736)) 0.254829592) (exp (pow (fabs x) 2))))
1.9s	(- (* 1.0 1.0) (* (/ (* 1.0 1.0) (pow (+ 1.0 (* 0.3275911 (fabs x))) 2)) (* (/ (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ (pow (cbrt 1.0) 3) (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))) -0.284496736)) 0.254829592) (exp (pow (fabs x) 2))) (/ (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ (pow (cbrt 1.0) 3) (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))) -0.284496736)) 0.254829592) (exp (pow (fabs x) 2))))))

simplify1.0s

Counts

117 → 117

Iterations

Useful iterations: done (989.0ms)

Iter	Nodes	Cost
0	263	15246
1	813	13832
2	3278	11313
done	5000	11296

prune1.1s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 10.7b

localize60.0ms

Local error

Found 4 expressions with local error:

0.4b	(+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ (pow (cbrt 1.0) 3) (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))) -0.284496736)) 0.254829592)
0.5b	(* (/ (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ (pow (cbrt 1.0) 3) (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))) -0.284496736)) 0.254829592) (exp (pow (fabs x) 2))) (/ (+ (/ 1.061405429 (pow (+ (* 0.3275911 (fabs x)) 1.0) 4)) (- (- (+ (/ 1.421413741 (pow (+ (* 0.3275911 (fabs x)) 1.0) 2)) 0.254829592) (/ 1.453152027 (pow (+ (* 0.3275911 (fabs x)) 1.0) 3))) (/ 0.284496736 (+ (* 0.3275911 (fabs x)) 1.0)))) (exp (pow (fabs x) 2))))
1.2b	(- (+ (/ 1.421413741 (pow (+ (* 0.3275911 (fabs x)) 1.0) 2)) 0.254829592) (/ 1.453152027 (pow (+ (* 0.3275911 (fabs x)) 1.0) 3)))
10.7b	(- (* 1.0 1.0) (* (/ (* 1.0 1.0) (pow (+ 1.0 (* 0.3275911 (fabs x))) 2)) (* (/ (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ (pow (cbrt 1.0) 3) (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))) -0.284496736)) 0.254829592) (exp (pow (fabs x) 2))) (/ (+ (/ 1.061405429 (pow (+ (* 0.3275911 (fabs x)) 1.0) 4)) (- (- (+ (/ 1.421413741 (pow (+ (* 0.3275911 (fabs x)) 1.0) 2)) 0.254829592) (/ 1.453152027 (pow (+ (* 0.3275911 (fabs x)) 1.0) 3))) (/ 0.284496736 (+ (* 0.3275911 (fabs x)) 1.0)))) (exp (pow (fabs x) 2))))))

rewrite8.2s

Algorithm

rewrite-expression-head

Rules

69×	`*-un-lft-identity`
47×	`add-sqr-sqrt`
38×	`times-frac`
25×	`associate-r`
22×	`add-cube-cbrt`
17×	`distribute-lft-out--`
16×	`add-cbrt-cube` `distribute-lft-out`
13×	`associate-l` `add-log-exp`
12×	`add-exp-log`
6×	`pow1`
5×	`difference-of-squares`
4×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `unswap-sqr`
3×	`diff-log`
2×	`sub-neg` `associate-+l+` `flip3--` `flip3-+` `sum-log` `frac-sub` `flip--` `flip-+` `div-inv`
1×	`+-commutative` `distribute-rgt-in` `frac-times` `unpow-prod-down` `distribute-lft-in` `cube-prod` `associate-r/` `pow-prod-down` `associate-l/` `associate--l+` `*-commutative` `sqr-pow`

Counts

4 → 110

Calls

4 calls:

14.0ms	(+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ (pow (cbrt 1.0) 3) (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))) -0.284496736)) 0.254829592)
7.8s	(* (/ (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ (pow (cbrt 1.0) 3) (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))) -0.284496736)) 0.254829592) (exp (pow (fabs x) 2))) (/ (+ (/ 1.061405429 (pow (+ (* 0.3275911 (fabs x)) 1.0) 4)) (- (- (+ (/ 1.421413741 (pow (+ (* 0.3275911 (fabs x)) 1.0) 2)) 0.254829592) (/ 1.453152027 (pow (+ (* 0.3275911 (fabs x)) 1.0) 3))) (/ 0.284496736 (+ (* 0.3275911 (fabs x)) 1.0)))) (exp (pow (fabs x) 2))))
306.0ms	(- (+ (/ 1.421413741 (pow (+ (* 0.3275911 (fabs x)) 1.0) 2)) 0.254829592) (/ 1.453152027 (pow (+ (* 0.3275911 (fabs x)) 1.0) 3)))
3.0ms	(- (* 1.0 1.0) (* (/ (* 1.0 1.0) (pow (+ 1.0 (* 0.3275911 (fabs x))) 2)) (* (/ (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ (pow (cbrt 1.0) 3) (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))) -0.284496736)) 0.254829592) (exp (pow (fabs x) 2))) (/ (+ (/ 1.061405429 (pow (+ (* 0.3275911 (fabs x)) 1.0) 4)) (- (- (+ (/ 1.421413741 (pow (+ (* 0.3275911 (fabs x)) 1.0) 2)) 0.254829592) (/ 1.453152027 (pow (+ (* 0.3275911 (fabs x)) 1.0) 3))) (/ 0.284496736 (+ (* 0.3275911 (fabs x)) 1.0)))) (exp (pow (fabs x) 2))))))

series2.9s

Counts

4 → 12

Calls

4 calls:

312.0ms	(+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ (pow (cbrt 1.0) 3) (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))) -0.284496736)) 0.254829592)
674.0ms	(* (/ (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ (pow (cbrt 1.0) 3) (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))) -0.284496736)) 0.254829592) (exp (pow (fabs x) 2))) (/ (+ (/ 1.061405429 (pow (+ (* 0.3275911 (fabs x)) 1.0) 4)) (- (- (+ (/ 1.421413741 (pow (+ (* 0.3275911 (fabs x)) 1.0) 2)) 0.254829592) (/ 1.453152027 (pow (+ (* 0.3275911 (fabs x)) 1.0) 3))) (/ 0.284496736 (+ (* 0.3275911 (fabs x)) 1.0)))) (exp (pow (fabs x) 2))))
168.0ms	(- (+ (/ 1.421413741 (pow (+ (* 0.3275911 (fabs x)) 1.0) 2)) 0.254829592) (/ 1.453152027 (pow (+ (* 0.3275911 (fabs x)) 1.0) 3)))
1.8s	(- (* 1.0 1.0) (* (/ (* 1.0 1.0) (pow (+ 1.0 (* 0.3275911 (fabs x))) 2)) (* (/ (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ (pow (cbrt 1.0) 3) (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))) -0.284496736)) 0.254829592) (exp (pow (fabs x) 2))) (/ (+ (/ 1.061405429 (pow (+ (* 0.3275911 (fabs x)) 1.0) 4)) (- (- (+ (/ 1.421413741 (pow (+ (* 0.3275911 (fabs x)) 1.0) 2)) 0.254829592) (/ 1.453152027 (pow (+ (* 0.3275911 (fabs x)) 1.0) 3))) (/ 0.284496736 (+ (* 0.3275911 (fabs x)) 1.0)))) (exp (pow (fabs x) 2))))))

simplify1.3s

Counts

122 → 122

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	318	12758
1	948	12210
2	3749	10526
done	5000	10469

prune1.2s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 10.7b

regimes367.0ms

Accuracy

0% (0.1b remaining)

Error of 10.6b against oracle of 10.5b and baseline of 10.6b

bsearch0.0ms

simplify10.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	64	182
1	87	182
done	87	182

end0.0ms

sample770.0ms

Algorithm

intervals

Results

425.0ms	3899×	body	160	valid
236.0ms	4101×	body	80	valid