Details

sample51.0ms

Algorithm

intervals

Results

37.0ms

256×

body

valid

simplify3.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
14	3988
13	1809
12	737
11	453
10	309
9	254
8	207
7	156
6	118
5	105
4	94
3	71
2	52
1	31
0	16

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
0.0b	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
0.0b	(* x (+ 0.99229 (* x 0.04481)))
16.3b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite266.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
16×	`add-cube-cbrt`
11×	`times-frac`
10×	`add-cbrt-cube` `add-exp-log`
9×	`associate-r`
8×	`pow1`
6×	`associate-l` `add-log-exp`
4×	`associate-*r/` `insert-posit16` `difference-of-squares`
3×	`distribute-rgt-in` `associate-/r` `sub-neg` `distribute-lft-in` `flip3-+` `flip-+` `associate-/l`
2×	`flip3--` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `flip--` `distribute-lft-out--` `unswap-sqr` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `diff-log` `div-exp` `div-inv`

Counts

4 → 99

Calls

4 calls:

60.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
164.0ms	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
20.0ms	(* x (+ 0.99229 (* x 0.04481)))
20.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series462.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
134.0ms	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
115.0ms	(* x (+ 0.99229 (* x 0.04481)))
79.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify1.6s

Counts

111 → 111

Iterations

Iter	Nodes
done	5009
2	1802
1	565
0	210

prune575.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (+ 0.99229 (* x 0.04481)))
0.1b	(* (sqrt 0.70711) (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
0.2b	(* (sqrt 0.70711) (* (sqrt 0.70711) (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)))
16.3b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite254.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
19×	`add-cube-cbrt`
15×	`add-cbrt-cube` `associate-l` `add-exp-log`
13×	`pow1`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`times-frac` `associate-r`
8×	`associate-*r/`
7×	`sqrt-prod`
6×	`sub-neg`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`insert-posit16` `add-log-exp`
3×	`associate-/r` `flip3-+` `-commutative` `flip-+` `associate-/l*` `unswap-sqr`
2×	`flip3--` `associate-/r/` `flip--` `difference-of-squares` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv` `distribute-lft-out--`

Counts

4 → 119

Calls

4 calls:

15.0ms	(* x (+ 0.99229 (* x 0.04481)))
107.0ms	(* (sqrt 0.70711) (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
95.0ms	(* (sqrt 0.70711) (* (sqrt 0.70711) (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)))
36.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series627.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(* x (+ 0.99229 (* x 0.04481)))
184.0ms	(* (sqrt 0.70711) (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
235.0ms	(* (sqrt 0.70711) (* (sqrt 0.70711) (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)))
81.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify1.9s

Counts

131 → 131

Iterations

Iter	Nodes
done	5000
2	2217
1	664
0	239

prune556.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (sqrt 0.70711) (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
0.1b	(* (sqrt (sqrt 0.70711)) (* (sqrt 0.70711) (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)))
0.2b	(* (sqrt (sqrt 0.70711)) (* (sqrt (sqrt 0.70711)) (* (sqrt 0.70711) (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))))
16.3b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite667.0ms

Algorithm

rewrite-expression-head

Rules

34×	`distribute-rgt-in` `distribute-lft-in`
30×	`add-sqr-sqrt`
24×	`associate-l`
23×	`*-un-lft-identity`
22×	`add-cbrt-cube` `add-exp-log` `sqrt-prod`
21×	`add-cube-cbrt`
20×	`pow1`
14×	`sub-neg`
12×	`associate-*r/`
10×	`times-frac` `pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`associate-r`
4×	`insert-posit16` `add-log-exp`
3×	`associate-/r` `flip3--` `-commutative` `flip--` `associate-/l*`
2×	`flip3-+` `associate-/r/` `flip-+` `difference-of-squares` `unswap-sqr` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv` `distribute-lft-out--`

Counts

4 → 145

Calls

4 calls:

121.0ms	(* (sqrt 0.70711) (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
173.0ms	(* (sqrt (sqrt 0.70711)) (* (sqrt 0.70711) (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)))
341.0ms	(* (sqrt (sqrt 0.70711)) (* (sqrt (sqrt 0.70711)) (* (sqrt 0.70711) (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))))
29.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series692.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(* (sqrt 0.70711) (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
226.0ms	(* (sqrt (sqrt 0.70711)) (* (sqrt 0.70711) (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)))
213.0ms	(* (sqrt (sqrt 0.70711)) (* (sqrt (sqrt 0.70711)) (* (sqrt 0.70711) (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))))
97.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify2.2s

Counts

157 → 157

Iterations

Iter	Nodes
done	5000
2	2422
1	679
0	262

prune754.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize93.0ms

Local error

Found 4 expressions with local error:

16.3b	(/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* (+ (* 0.04481 x) 0.99229) x)))
16.3b	(/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* (+ (* 0.04481 x) 0.99229) x)))
16.3b	(/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* (+ (* 0.04481 x) 0.99229) x)))
20.3b	(cbrt (* (* 0.70711 (- (/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* (+ (* 0.04481 x) 0.99229) x))) x)) (* (* 0.70711 (- (/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* (+ (* 0.04481 x) 0.99229) x))) x)) (* 0.70711 (- (/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* (+ (* 0.04481 x) 0.99229) x))) x)))))

rewrite960.0ms

Algorithm

rewrite-expression-head

Rules

68×	`associate-*r/`
28×	`add-sqr-sqrt` `frac-times` `*-un-lft-identity` `add-cube-cbrt`
27×	`times-frac` `flip3--` `flip--`
26×	`cbrt-div`
10×	`add-cbrt-cube` `add-exp-log`
9×	`associate-/r` `associate-/l`
8×	`associate-*l/`
6×	`flip3-+` `associate-/r/` `flip-+` `associate-/l/`
4×	`pow1` `insert-posit16` `add-log-exp`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`
1×	`cbrt-prod` `pow1/3` `cube-unmult` `rem-cbrt-cube`

Counts

4 → 133

Calls

4 calls:

31.0ms	(/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* (+ (* 0.04481 x) 0.99229) x)))
34.0ms	(/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* (+ (* 0.04481 x) 0.99229) x)))
34.0ms	(/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* (+ (* 0.04481 x) 0.99229) x)))
858.0ms	(cbrt (* (* 0.70711 (- (/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* (+ (* 0.04481 x) 0.99229) x))) x)) (* (* 0.70711 (- (/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* (+ (* 0.04481 x) 0.99229) x))) x)) (* 0.70711 (- (/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* (+ (* 0.04481 x) 0.99229) x))) x)))))

series397.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* (+ (* 0.04481 x) 0.99229) x)))
69.0ms	(/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* (+ (* 0.04481 x) 0.99229) x)))
71.0ms	(/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* (+ (* 0.04481 x) 0.99229) x)))
159.0ms	(cbrt (* (* 0.70711 (- (/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* (+ (* 0.04481 x) 0.99229) x))) x)) (* (* 0.70711 (- (/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* (+ (* 0.04481 x) 0.99229) x))) x)) (* 0.70711 (- (/ (+ (* 0.27061 x) 2.30753) (+ 1.0 (* (+ (* 0.04481 x) 0.99229) x))) x)))))

simplify3.1s

Counts

145 → 145

Iterations

Iter	Nodes
done	5028
2	1943
1	580
0	225

prune957.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes118.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	23
1	23
0	16

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.1s

8000×

body

valid