Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify11.1s

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	16	19
1	31	19
2	54	16
3	79	16
4	103	16
5	117	16
6	133	16
7	160	16
8	219	16
9	253	16
10	326	16
11	458	16
12	822	16
13	1768	16
14	2602	16
15	2824	16
16	4029	16
done	5000	16

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

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))
0.1b	(* x (+ 0.99229 (* x 0.04481)))
15.6b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite162.0ms

Algorithm

rewrite-expression-head

Rules

145×	`add-sqr-sqrt`
135×	`*-un-lft-identity` `prod-diff`
131×	`add-cube-cbrt`
101×	`times-frac`
48×	`distribute-rgt-in` `distribute-lft-in`
22×	`associate-/r/`
15×	`fma-neg`
13×	`flip3-+` `flip-+`
11×	`div-inv`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-r`
8×	`pow1`
6×	`associate-l` `add-log-exp`
4×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u` `difference-of-squares`
3×	`sub-neg` `associate-/r` `associate-/l`
2×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `associate-/l/` `distribute-lft-out--` `unswap-sqr`
1×	`cbrt-undiv` `frac-2neg` `diff-log` `div-exp` `clear-num`

Counts

4 → 253

Calls

4 calls:

44.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
88.0ms	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
7.0ms	(* x (+ 0.99229 (* x 0.04481)))
9.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series306.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
96.0ms	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
64.0ms	(* x (+ 0.99229 (* x 0.04481)))
61.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify1.2s

Counts

265 → 265

Iterations

Useful iterations: 2 (277.0ms)

Iter	Nodes	Cost
0	370	9871
1	794	8434
2	3077	6463
done	5000	6463

prune462.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (* x (+ 0.99229 (* x 0.04481))))
0.0b	(* 0.70711 (fma (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (- x)))
0.1b	(* x (+ 0.99229 (* x 0.04481)))
0.2b	(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
17×	`add-cube-cbrt` `*-un-lft-identity`
12×	`add-exp-log`
10×	`add-cbrt-cube`
9×	`pow1` `times-frac`
6×	`associate-r` `associate-l` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`distribute-rgt-in` `fma-def` `distribute-lft-in` `flip3-+` `associate-/r` `flip-+` `associate-/l`
2×	`associate-+r+` `associate-r/` `div-exp` `pow-prod-down` `prod-exp` `associate-/r/` `-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `rec-exp` `pow-flip` `frac-2neg` `1-exp` `clear-num` `sum-log` `div-inv` `inv-pow`

Counts

4 → 99

Calls

4 calls:

3.0ms	(+ 1.0 (* x (+ 0.99229 (* x 0.04481))))
3.0ms	(* 0.70711 (fma (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (- x)))
7.0ms	(* x (+ 0.99229 (* x 0.04481)))
5.0ms	(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series193.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ 1.0 (* x (+ 0.99229 (* x 0.04481))))
66.0ms	(* 0.70711 (fma (+ 2.30753 (* x 0.27061)) (/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (- x)))
63.0ms	(* x (+ 0.99229 (* x 0.04481)))
42.0ms	(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify947.0ms

Counts

111 → 111

Iterations

Useful iterations: 2 (361.0ms)

Iter	Nodes	Cost
0	195	1813
1	461	1722
2	1834	1279
done	5000	1279

prune290.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 0.70711 (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))) (* (- x) 0.70711))
0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.1b	(* 0.70711 (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)))
15.6b	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac`
13×	`associate-r`
11×	`add-exp-log` `add-cbrt-cube`
6×	`pow1` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-l` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `distribute-lft-neg-out` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`+-commutative` `fma-def` `frac-2neg` `flip3-+` `associate-r/` `unsub-neg` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `fma-udef`

Counts

4 → 89

Calls

4 calls:

4.0ms	(+ (* 0.70711 (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))) (* (- x) 0.70711))
0.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
8.0ms	(* 0.70711 (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)))
2.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

series240.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(+ (* 0.70711 (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))) (* (- x) 0.70711))
31.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
70.0ms	(* 0.70711 (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)))
65.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify628.0ms

Counts

101 → 101

Iterations

Useful iterations: done (625.0ms)

Iter	Nodes	Cost
0	168	1906
1	410	1816
2	1653	1610
done	5001	1597

prune280.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 0.70711 (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) (* (- x) 0.70711))
0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
15.6b	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
5×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `expm1-log1p-u` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`fma-udef`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

3 → 49

Calls

3 calls:

0.0ms	(fma 0.70711 (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) (* (- x) 0.70711))
0.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
2.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

series158.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(fma 0.70711 (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) (* (- x) 0.70711))
25.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
65.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify1.2s

Counts

58 → 58

Iterations

Useful iterations: 3 (267.0ms)

Iter	Nodes	Cost
0	115	1054
1	226	1033
2	689	901
3	2880	889
done	5000	889

prune168.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes15.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	18
1	17	18
2	20	18
3	21	18
done	21	18

end0.0ms

sample370.0ms

Algorithm

intervals

Results

273.0ms

8000×

body

valid