Details

sample122.0ms

Algorithm

intervals

Results

60.0ms	107×	body	160	valid
22.0ms	149×	body	80	valid

simplify3.3s

Counts

1 → 1

Iterations

Useful iterations: 3 (214.0ms)

Iter	Nodes	Cost
0	26	64
1	82	64
2	309	55
3	991	54
4	4172	54
done	5000	54

prune26.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.7b

localize51.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (/ 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)))))))
0.2b	(* (/ 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))))))))
11.7b	(- 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))))))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
30×	`associate-l`
23×	`add-cube-cbrt` `*-un-lft-identity`
20×	`times-frac`
14×	`add-exp-log` `add-cbrt-cube`
8×	`pow1` `add-log-exp`
7×	`flip3-+` `flip-+`
6×	`associate-r`
4×	`expm1-log1p-u` `frac-times` `associate-*r/` `prod-exp` `associate-/r/` `cbrt-unprod` `log1p-expm1-u` `unswap-sqr`
3×	`distribute-rgt-in` `fma-def` `distribute-lft-in` `fma-neg` `prod-diff`
2×	`cbrt-undiv` `associate-+r+` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`
1×	`+-commutative` `sub-neg` `flip3--` `diff-log` `sum-log` `flip--`

Counts

4 → 122

Calls

4 calls:

42.0ms	(* (/ 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)))))))
49.0ms	(* (/ 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)))))))))
7.0ms	(+ 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))))))))
6.0ms	(- 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))))))

series2.8s

Counts

4 → 12

Calls

4 calls:

418.0ms	(* (/ 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)))))))
636.0ms	(* (/ 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)))))))))
412.0ms	(+ 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))))))))
1.3s	(- 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))))))

simplify2.6s

Counts

134 → 134

Iterations

Useful iterations: 2 (1.2s)

Iter	Nodes	Cost
0	260	9368
1	950	8211
2	4253	6815
done	5000	6815

prune1.0s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 11.7b

localize72.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ (sqrt 1.0) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (/ (* (fma (fma (fma 1.061405429 (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -1.453152027) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 1.421413741) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -0.284496736) (sqrt 1.0)) (sqrt (fma 0.3275911 (fabs x) 1.0))))))
0.2b	(* (/ (sqrt 1.0) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (/ (* (fma (fma (fma 1.061405429 (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -1.453152027) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 1.421413741) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -0.284496736) (sqrt 1.0)) (sqrt (fma 0.3275911 (fabs x) 1.0))))
0.4b	(+ 0.254829592 (* (/ (sqrt 1.0) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (/ (* (fma (fma (fma 1.061405429 (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -1.453152027) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 1.421413741) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -0.284496736) (sqrt 1.0)) (sqrt (fma 0.3275911 (fabs x) 1.0)))))
11.7b	(- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ (sqrt 1.0) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (/ (* (fma (fma (fma 1.061405429 (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -1.453152027) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 1.421413741) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -0.284496736) (sqrt 1.0)) (sqrt (fma 0.3275911 (fabs x) 1.0)))))) (exp (- (* (fabs x) (fabs x))))))

rewrite171.0ms

Algorithm

rewrite-expression-head

Rules

62×	`add-sqr-sqrt`
57×	`associate-l`
56×	`times-frac`
43×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
30×	`add-exp-log` `add-cbrt-cube`
13×	`associate-r`
10×	`prod-exp` `cbrt-unprod`
8×	`pow1` `cbrt-undiv` `div-exp` `add-log-exp`
7×	`unswap-sqr`
5×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `associate-/r/` `log1p-expm1-u`
3×	`frac-times` `fma-def` `fma-neg` `associate-*r/` `prod-diff` `div-inv`
2×	`sqrt-div` `pow-prod-down` `associate-l/` `-commutative`
1×	`+-commutative` `distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `diff-log` `sum-log` `flip--`

Counts

4 → 161

Calls

4 calls:

44.0ms	(* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ (sqrt 1.0) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (/ (* (fma (fma (fma 1.061405429 (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -1.453152027) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 1.421413741) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -0.284496736) (sqrt 1.0)) (sqrt (fma 0.3275911 (fabs x) 1.0))))))
102.0ms	(* (/ (sqrt 1.0) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (/ (* (fma (fma (fma 1.061405429 (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -1.453152027) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 1.421413741) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -0.284496736) (sqrt 1.0)) (sqrt (fma 0.3275911 (fabs x) 1.0))))
7.0ms	(+ 0.254829592 (* (/ (sqrt 1.0) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (/ (* (fma (fma (fma 1.061405429 (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -1.453152027) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 1.421413741) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -0.284496736) (sqrt 1.0)) (sqrt (fma 0.3275911 (fabs x) 1.0)))))
7.0ms	(- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ (sqrt 1.0) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (/ (* (fma (fma (fma 1.061405429 (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -1.453152027) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 1.421413741) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -0.284496736) (sqrt 1.0)) (sqrt (fma 0.3275911 (fabs x) 1.0)))))) (exp (- (* (fabs x) (fabs x))))))

series3.1s

Counts

4 → 12

Calls

4 calls:

890.0ms	(* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ (sqrt 1.0) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (/ (* (fma (fma (fma 1.061405429 (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -1.453152027) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 1.421413741) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -0.284496736) (sqrt 1.0)) (sqrt (fma 0.3275911 (fabs x) 1.0))))))
515.0ms	(* (/ (sqrt 1.0) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (/ (* (fma (fma (fma 1.061405429 (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -1.453152027) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 1.421413741) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -0.284496736) (sqrt 1.0)) (sqrt (fma 0.3275911 (fabs x) 1.0))))
519.0ms	(+ 0.254829592 (* (/ (sqrt 1.0) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (/ (* (fma (fma (fma 1.061405429 (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -1.453152027) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 1.421413741) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -0.284496736) (sqrt 1.0)) (sqrt (fma 0.3275911 (fabs x) 1.0)))))
1.1s	(- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ (sqrt 1.0) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (/ (* (fma (fma (fma 1.061405429 (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -1.453152027) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 1.421413741) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -0.284496736) (sqrt 1.0)) (sqrt (fma 0.3275911 (fabs x) 1.0)))))) (exp (- (* (fabs x) (fabs x))))))

simplify3.2s

Counts

173 → 173

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	333	12812
1	1018	11863
2	4285	9051
done	5000	8971

prune1.4s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 11.7b

localize40.0ms

Local error

Found 4 expressions with local error:

0.4b	(fma (fma (fma (fma 1.061405429 (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -1.453152027) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 1.421413741) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -0.284496736) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 0.254829592)
0.4b	(fma (fma (fma (fma 1.061405429 (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -1.453152027) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 1.421413741) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -0.284496736) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 0.254829592)
0.7b	(pow (* (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) (/ (fma (fma (fma (fma 1.061405429 (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -1.453152027) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 1.421413741) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -0.284496736) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 0.254829592) (exp (pow (fabs x) 2)))) 3)
11.2b	(- (pow 1.0 3) (pow (* (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) (/ (fma (fma (fma (fma 1.061405429 (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -1.453152027) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 1.421413741) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -0.284496736) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 0.254829592) (exp (pow (fabs x) 2)))) 3))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

96×	`prod-diff`
54×	`add-sqr-sqrt`
46×	`*-un-lft-identity`
44×	`add-cube-cbrt`
42×	`unpow-prod-down` `cube-prod`
28×	`sqr-pow`
22×	`cube-mult` `unpow3`
17×	`add-cbrt-cube`
15×	`add-exp-log`
12×	`fma-neg`
8×	`difference-of-squares`
7×	`pow1`
6×	`add-log-exp`
5×	`pow-exp` `rem-cube-cbrt`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
3×	`cube-div` `pow-unpow`
2×	`pow-pow` `fma-udef`
1×	`difference-cubes` `frac-times` `pow-to-exp` `sub-neg` `flip3--` `diff-log` `associate-r/` `pow-prod-down` `associate-l/` `flip--` `distribute-lft-out--`

Counts

4 → 185

Calls

4 calls:

1.0ms	(fma (fma (fma (fma 1.061405429 (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -1.453152027) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 1.421413741) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -0.284496736) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 0.254829592)
1.0ms	(fma (fma (fma (fma 1.061405429 (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -1.453152027) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 1.421413741) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -0.284496736) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 0.254829592)
27.0ms	(pow (* (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) (/ (fma (fma (fma (fma 1.061405429 (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -1.453152027) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 1.421413741) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -0.284496736) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 0.254829592) (exp (pow (fabs x) 2)))) 3)
65.0ms	(- (pow 1.0 3) (pow (* (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) (/ (fma (fma (fma (fma 1.061405429 (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -1.453152027) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 1.421413741) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -0.284496736) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 0.254829592) (exp (pow (fabs x) 2)))) 3))

series2.4s

Counts

4 → 12

Calls

4 calls:

373.0ms	(fma (fma (fma (fma 1.061405429 (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -1.453152027) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 1.421413741) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -0.284496736) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 0.254829592)
331.0ms	(fma (fma (fma (fma 1.061405429 (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -1.453152027) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 1.421413741) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -0.284496736) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 0.254829592)
745.0ms	(pow (* (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) (/ (fma (fma (fma (fma 1.061405429 (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -1.453152027) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 1.421413741) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -0.284496736) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 0.254829592) (exp (pow (fabs x) 2)))) 3)
972.0ms	(- (pow 1.0 3) (pow (* (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) (/ (fma (fma (fma (fma 1.061405429 (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -1.453152027) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 1.421413741) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -0.284496736) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 0.254829592) (exp (pow (fabs x) 2)))) 3))

simplify2.4s

Counts

197 → 197

Iterations

Useful iterations: 2 (956.0ms)

Iter	Nodes	Cost
0	376	39160
1	984	22760
2	3684	16968
done	5000	16968

prune1.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 11.0b

localize67.0ms

Local error

Found 4 expressions with local error:

0.4b	(fma (fma (fma (fma 1.061405429 (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -1.453152027) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 1.421413741) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -0.284496736) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 0.254829592)
0.7b	(pow (* (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) (/ (fma (fma (fma (fma 1.061405429 (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -1.453152027) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 1.421413741) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -0.284496736) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 0.254829592) (exp (pow (fabs x) 2)))) 3)
0.7b	(pow (* (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) (/ (fma (fma (fma (fma 1.061405429 (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -1.453152027) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 1.421413741) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -0.284496736) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 0.254829592) (exp (pow (fabs x) 2)))) 3)
11.2b	(- (pow 1.0 3) (* (sqrt (pow (* (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) (/ (fma (fma (fma (fma 1.061405429 (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -1.453152027) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 1.421413741) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -0.284496736) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 0.254829592) (exp (pow (fabs x) 2)))) 3)) (sqrt (pow (* (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) (/ (fma (fma (fma (fma 1.061405429 (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -1.453152027) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 1.421413741) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -0.284496736) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 0.254829592) (exp (pow (fabs x) 2)))) 3))))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-cbrt-cube`
26×	`add-exp-log`
15×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `*-un-lft-identity` `fma-neg` `prod-diff`
10×	`pow1` `pow-exp` `rem-cube-cbrt`
9×	`unpow-prod-down` `cube-prod`
8×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
6×	`cube-div` `pow-unpow` `add-log-exp`
5×	`sqr-pow`
4×	`expm1-log1p-u` `cube-mult` `pow-pow` `unpow3` `log1p-expm1-u` `difference-of-squares`
2×	`frac-times` `pow-to-exp` `associate-r/` `pow-prod-down` `associate-l/`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `fma-udef`

Counts

4 → 118

Calls

4 calls:

1.0ms	(fma (fma (fma (fma 1.061405429 (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -1.453152027) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 1.421413741) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -0.284496736) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 0.254829592)
37.0ms	(pow (* (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) (/ (fma (fma (fma (fma 1.061405429 (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -1.453152027) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 1.421413741) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -0.284496736) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 0.254829592) (exp (pow (fabs x) 2)))) 3)
30.0ms	(pow (* (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) (/ (fma (fma (fma (fma 1.061405429 (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -1.453152027) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 1.421413741) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -0.284496736) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 0.254829592) (exp (pow (fabs x) 2)))) 3)
39.0ms	(- (pow 1.0 3) (* (sqrt (pow (* (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) (/ (fma (fma (fma (fma 1.061405429 (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -1.453152027) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 1.421413741) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -0.284496736) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 0.254829592) (exp (pow (fabs x) 2)))) 3)) (sqrt (pow (* (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) (/ (fma (fma (fma (fma 1.061405429 (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -1.453152027) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 1.421413741) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -0.284496736) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 0.254829592) (exp (pow (fabs x) 2)))) 3))))

series3.0s

Counts

4 → 12

Calls

4 calls:

331.0ms	(fma (fma (fma (fma 1.061405429 (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -1.453152027) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 1.421413741) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -0.284496736) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 0.254829592)
793.0ms	(pow (* (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) (/ (fma (fma (fma (fma 1.061405429 (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -1.453152027) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 1.421413741) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -0.284496736) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 0.254829592) (exp (pow (fabs x) 2)))) 3)
857.0ms	(pow (* (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) (/ (fma (fma (fma (fma 1.061405429 (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -1.453152027) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 1.421413741) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -0.284496736) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 0.254829592) (exp (pow (fabs x) 2)))) 3)
1.1s	(- (pow 1.0 3) (* (sqrt (pow (* (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) (/ (fma (fma (fma (fma 1.061405429 (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -1.453152027) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 1.421413741) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -0.284496736) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 0.254829592) (exp (pow (fabs x) 2)))) 3)) (sqrt (pow (* (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) (/ (fma (fma (fma (fma 1.061405429 (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -1.453152027) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 1.421413741) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -0.284496736) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 0.254829592) (exp (pow (fabs x) 2)))) 3))))

simplify2.0s

Counts

130 → 130

Iterations

Useful iterations: 2 (836.0ms)

Iter	Nodes	Cost
0	290	13711
1	805	9217
2	3178	8601
done	5002	8601

prune1.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 11.0b

regimes124.0ms

Accuracy

0% (0.0b remaining)

Error of 12.9b against oracle of 12.8b and baseline of 12.9b

bsearch0.0ms

simplify9.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	31	221
1	32	221
done	32	221

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.2s	3865×	body	160	valid
1.1s	4135×	body	80	valid