Details

sample33.0ms

Algorithm

intervals

Results

16.0ms

256×

body

valid

simplify2.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
13	3931
12	769
11	488
10	320
9	258
8	210
7	155
6	117
5	106
4	98
3	74
2	52
1	31
0	16

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 0.70711 (- (/ (+ (* x 0.27061) 2.30753) (+ 1.0 (* x (+ (* x 0.04481) 0.99229)))) x))
0.0b	(+ (* x 0.27061) 2.30753)
0.1b	(* x (+ (* x 0.04481) 0.99229))
16.7b	(/ (+ (* x 0.27061) 2.30753) (+ 1.0 (* x (+ (* x 0.04481) 0.99229))))

rewrite332.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

243.0ms	(* 0.70711 (- (/ (+ (* x 0.27061) 2.30753) (+ 1.0 (* x (+ (* x 0.04481) 0.99229)))) x))
6.0ms	(+ (* x 0.27061) 2.30753)
33.0ms	(* x (+ (* x 0.04481) 0.99229))
46.0ms	(/ (+ (* x 0.27061) 2.30753) (+ 1.0 (* x (+ (* x 0.04481) 0.99229))))

series391.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(* 0.70711 (- (/ (+ (* x 0.27061) 2.30753) (+ 1.0 (* x (+ (* x 0.04481) 0.99229)))) x))
48.0ms	(+ (* x 0.27061) 2.30753)
118.0ms	(* x (+ (* x 0.04481) 0.99229))
87.0ms	(/ (+ (* x 0.27061) 2.30753) (+ 1.0 (* x (+ (* x 0.04481) 0.99229))))

simplify1.2s

Counts

103 → 103

Iterations

Iter	Nodes
done	5001
2	2391
1	557
0	202

prune549.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ 0.70711 (/ (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))) (+ 2.30753 (* 0.27061 x)))) (* (- x) 0.70711))
0.1b	(* x (+ (* 0.04481 x) 0.99229))
0.1b	(/ 0.70711 (/ (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))) (+ 2.30753 (* 0.27061 x))))
16.7b	(/ (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))) (+ 2.30753 (* 0.27061 x)))

rewrite199.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
60×	`add-sqr-sqrt`
58×	`*-un-lft-identity` `add-cube-cbrt`
18×	`associate-/r*`
13×	`add-cbrt-cube` `add-exp-log`
11×	`associate-/r/`
8×	`flip3-+` `flip-+`
6×	`pow1` `div-inv` `associate-/l*` `add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`associate-r` `associate-l`
2×	`distribute-lft-neg-out` `clear-num` `frac-2neg` `associate-*r/` `associate-/l/`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `distribute-lft-in` `unsub-neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 144

Calls

4 calls:

66.0ms	(+ (/ 0.70711 (/ (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))) (+ 2.30753 (* 0.27061 x)))) (* (- x) 0.70711))
39.0ms	(* x (+ (* 0.04481 x) 0.99229))
28.0ms	(/ 0.70711 (/ (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))) (+ 2.30753 (* 0.27061 x))))
56.0ms	(/ (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))) (+ 2.30753 (* 0.27061 x)))

series433.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(+ (/ 0.70711 (/ (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))) (+ 2.30753 (* 0.27061 x)))) (* (- x) 0.70711))
84.0ms	(* x (+ (* 0.04481 x) 0.99229))
120.0ms	(/ 0.70711 (/ (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))) (+ 2.30753 (* 0.27061 x))))
101.0ms	(/ (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))) (+ 2.30753 (* 0.27061 x)))

simplify1.9s

Counts

156 → 156

Iterations

Iter	Nodes
done	5000
2	4311
1	863
0	307

prune863.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (+ (* 0.04481 x) 0.99229))
0.1b	(pow (/ (+ 2.30753 (* 0.27061 x)) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229)))) 3)
16.7b	(/ (+ 2.30753 (* 0.27061 x)) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))
22.5b	(cbrt (pow (/ (+ 2.30753 (* 0.27061 x)) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229)))) 3))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
45×	`times-frac`
44×	`*-un-lft-identity` `add-cube-cbrt`
36×	`cbrt-prod`
30×	`unpow-prod-down` `cube-prod`
11×	`add-cbrt-cube` `add-exp-log`
10×	`associate-/r/`
7×	`pow1` `flip3-+` `flip-+`
5×	`div-inv`
4×	`add-log-exp`
3×	`pow-unpow` `associate-/r` `associate-r` `associate-l` `associate-/l`
2×	`cube-div` `cube-mult` `cbrt-undiv` `unpow3` `div-exp` `pow-exp` `associate-*r/` `rem-cube-cbrt` `sqr-pow` `associate-/l/`
1×	`distribute-rgt-in` `pow-to-exp` `cbrt-div` `clear-num` `pow-pow` `frac-2neg` `distribute-lft-in` `pow1/3` `pow-prod-down` `prod-exp` `*-commutative` `rem-cbrt-cube` `cbrt-unprod` `unswap-sqr`

Counts

4 → 149

Calls

4 calls:

20.0ms	(* x (+ (* 0.04481 x) 0.99229))
27.0ms	(pow (/ (+ 2.30753 (* 0.27061 x)) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229)))) 3)
43.0ms	(/ (+ 2.30753 (* 0.27061 x)) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))
24.0ms	(cbrt (pow (/ (+ 2.30753 (* 0.27061 x)) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229)))) 3))

series419.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(* x (+ (* 0.04481 x) 0.99229))
111.0ms	(pow (/ (+ 2.30753 (* 0.27061 x)) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229)))) 3)
96.0ms	(/ (+ 2.30753 (* 0.27061 x)) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229))))
111.0ms	(cbrt (pow (/ (+ 2.30753 (* 0.27061 x)) (+ 1.0 (* x (+ (* 0.04481 x) 0.99229)))) 3))

simplify2.1s

Counts

161 → 161

Iterations

Iter	Nodes
done	5002
2	4738
1	832
0	244

prune741.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 0.27061 x) (* 0.27061 x))
0.3b	(pow (* 0.27061 x) 3)
16.7b	(* (/ (+ 1.0 (* (+ (* x 0.04481) 0.99229) x)) (+ (pow 2.30753 3) (pow (* 0.27061 x) 3))) (+ (* 2.30753 2.30753) (- (* (* 0.27061 x) (* 0.27061 x)) (* 2.30753 (* 0.27061 x)))))
23.6b	(/ (+ 1.0 (* (+ (* x 0.04481) 0.99229) x)) (+ (pow 2.30753 3) (pow (* 0.27061 x) 3)))

rewrite454.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 141

Calls

4 calls:

29.0ms	(* (* 0.27061 x) (* 0.27061 x))
5.0ms	(pow (* 0.27061 x) 3)
348.0ms	(* (/ (+ 1.0 (* (+ (* x 0.04481) 0.99229) x)) (+ (pow 2.30753 3) (pow (* 0.27061 x) 3))) (+ (* 2.30753 2.30753) (- (* (* 0.27061 x) (* 0.27061 x)) (* 2.30753 (* 0.27061 x)))))
63.0ms	(/ (+ 1.0 (* (+ (* x 0.04481) 0.99229) x)) (+ (pow 2.30753 3) (pow (* 0.27061 x) 3)))

series312.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (* 0.27061 x) (* 0.27061 x))
73.0ms	(pow (* 0.27061 x) 3)
123.0ms	(* (/ (+ 1.0 (* (+ (* x 0.04481) 0.99229) x)) (+ (pow 2.30753 3) (pow (* 0.27061 x) 3))) (+ (* 2.30753 2.30753) (- (* (* 0.27061 x) (* 0.27061 x)) (* 2.30753 (* 0.27061 x)))))
66.0ms	(/ (+ 1.0 (* (+ (* x 0.04481) 0.99229) x)) (+ (pow 2.30753 3) (pow (* 0.27061 x) 3)))

simplify2.6s

Counts

153 → 153

Iterations

Iter	Nodes
done	5001
2	4841
1	837
0	241

prune903.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes60.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify10.0ms

Iterations

Iter	Nodes
done	33
3	33
2	32
1	28
0	18

end0.0ms

sample929.0ms

Algorithm

intervals

Results

740.0ms

8000×

body

valid