Details

sample34.0ms

Algorithm

intervals

Results

19.0ms

256×

body

valid

simplify36.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	63
4	63
3	56
2	43
1	28
0	14

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (+ (* 0.27061 x) 2.30753) (+ (* x (+ (* x 0.04481) 0.99229)) 1.0)) x)
0.0b	(+ (* 0.27061 x) 2.30753)
0.1b	(* x (+ (* x 0.04481) 0.99229))
13.9b	(/ (+ (* 0.27061 x) 2.30753) (+ (* x (+ (* x 0.04481) 0.99229)) 1.0))

rewrite272.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
10×	`times-frac`
8×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
6×	`pow1`
4×	`flip3-+` `flip-+`
3×	`associate-/r` `associate-r` `associate-l` `associate-/l`
2×	`associate-*r/` `associate-/r/` `difference-of-squares` `associate-/l/`
1×	`distribute-rgt-in` `cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `distribute-lft-in` `flip3--` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `flip--` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 79

Calls

4 calls:

181.0ms	(- (/ (+ (* 0.27061 x) 2.30753) (+ (* x (+ (* x 0.04481) 0.99229)) 1.0)) x)
9.0ms	(+ (* 0.27061 x) 2.30753)
20.0ms	(* x (+ (* x 0.04481) 0.99229))
59.0ms	(/ (+ (* 0.27061 x) 2.30753) (+ (* x (+ (* x 0.04481) 0.99229)) 1.0))

series391.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(- (/ (+ (* 0.27061 x) 2.30753) (+ (* x (+ (* x 0.04481) 0.99229)) 1.0)) x)
68.0ms	(+ (* 0.27061 x) 2.30753)
117.0ms	(* x (+ (* x 0.04481) 0.99229))
78.0ms	(/ (+ (* 0.27061 x) 2.30753) (+ (* x (+ (* x 0.04481) 0.99229)) 1.0))

simplify1.1s

Counts

91 → 91

Iterations

Iter	Nodes
done	5000
2	2045
1	469
0	170

prune550.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize86.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 2.30753 (- 2.30753 (* x 0.27061)))
0.2b	(* (* x x) (* 0.27061 0.27061))
0.3b	(pow (* 0.27061 x) 3)
23.2b	(/ (+ (pow (* 0.27061 x) 3) (pow 2.30753 3)) (* (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))) (+ (* 2.30753 (- 2.30753 (* x 0.27061))) (* (* x x) (* 0.27061 0.27061)))))

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1`
26×	`add-cbrt-cube` `add-exp-log`
16×	`pow-prod-down`
13×	`*-un-lft-identity`
11×	`add-sqr-sqrt` `prod-exp` `cbrt-unprod`
9×	`add-cube-cbrt`
8×	`associate-/r/`
7×	`flip3-+` `flip-+`
5×	`times-frac` `associate-/l*`
4×	`frac-times` `pow-plus` `associate-r` `associate-l` `associate-*r/` `pow-prod-up` `add-log-exp`
3×	`pow-unpow`
2×	`pow2` `distribute-rgt-in` `cbrt-undiv` `sub-neg` `pow-pow` `distribute-lft-in` `div-exp` `associate-l/` `pow-exp` `pow-sqr` `sum-cubes` `-commutative` `distribute-lft-out` `rem-cube-cbrt` `unswap-sqr` `associate-/l/`
1×	`cube-mult` `pow-to-exp` `clear-num` `associate-/r*` `unpow-prod-down` `frac-2neg` `flip3--` `unpow3` `cube-prod` `div-inv` `flip--` `sqr-pow`

Counts

4 → 110

Calls

4 calls:

13.0ms	(* 2.30753 (- 2.30753 (* x 0.27061)))
47.0ms	(* (* x x) (* 0.27061 0.27061))
7.0ms	(pow (* 0.27061 x) 3)
84.0ms	(/ (+ (pow (* 0.27061 x) 3) (pow 2.30753 3)) (* (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))) (+ (* 2.30753 (- 2.30753 (* x 0.27061))) (* (* x x) (* 0.27061 0.27061)))))

series320.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(* 2.30753 (- 2.30753 (* x 0.27061)))
32.0ms	(* (* x x) (* 0.27061 0.27061))
79.0ms	(pow (* 0.27061 x) 3)
124.0ms	(/ (+ (pow (* 0.27061 x) 3) (pow 2.30753 3)) (* (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))) (+ (* 2.30753 (- 2.30753 (* x 0.27061))) (* (* x x) (* 0.27061 0.27061)))))

simplify3.7s

Counts

122 → 122

Iterations

Iter	Nodes
done	5000
2	4964
1	705
0	222

prune762.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize131.0ms

Local error

Found 4 expressions with local error:

13.9b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))
13.9b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))
20.2b	(/ (- (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229)))) 3) (pow x 3)) (+ (/ (* (+ 2.30753 (* x 0.27061)) (+ 2.30753 (* x 0.27061))) (* (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))) (* x (+ (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229)))) x))))
22.8b	(/ (* (+ 2.30753 (* x 0.27061)) (+ 2.30753 (* x 0.27061))) (* (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229)))))

rewrite549.0ms

Algorithm

rewrite-expression-head

Rules

242×	`add-sqr-sqrt`
150×	`times-frac`
98×	`*-un-lft-identity`
96×	`difference-of-squares`
72×	`unpow-prod-down` `cube-prod`
58×	`add-cube-cbrt`
40×	`associate-/l*` `sqr-pow`
22×	`add-cbrt-cube` `add-exp-log`
20×	`distribute-lft-out--`
18×	`flip3-+` `flip-+`
16×	`associate-/r/`
14×	`associate-/l/`
10×	`associate-/r*`
8×	`frac-times`
7×	`cbrt-undiv` `div-exp`
6×	`associate-*r/`
4×	`pow1` `difference-cubes` `clear-num` `frac-2neg` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp`
2×	`frac-add`
1×	`flip3--` `div-sub` `flip--`

Counts

4 → 253

Calls

4 calls:

19.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))
20.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))
469.0ms	(/ (- (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229)))) 3) (pow x 3)) (+ (/ (* (+ 2.30753 (* x 0.27061)) (+ 2.30753 (* x 0.27061))) (* (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))) (* x (+ (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229)))) x))))
27.0ms	(/ (* (+ 2.30753 (* x 0.27061)) (+ 2.30753 (* x 0.27061))) (* (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229)))))

series861.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))
109.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))
530.0ms	(/ (- (pow (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229)))) 3) (pow x 3)) (+ (/ (* (+ 2.30753 (* x 0.27061)) (+ 2.30753 (* x 0.27061))) (* (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))) (* x (+ (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229)))) x))))
110.0ms	(/ (* (+ 2.30753 (* x 0.27061)) (+ 2.30753 (* x 0.27061))) (* (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229)))))

simplify626.0ms

Counts

265 → 265

Iterations

Iter	Nodes
done	5000
1	1104
0	393

prune2.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes54.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	20
1	20
0	14

end0.0ms

sample826.0ms

Algorithm

intervals

Results

667.0ms

8000×

body

valid