Details

sample49.0ms

Algorithm

intervals

Results

25.0ms

256×

body

valid

simplify4.5s

Counts

1 → 1

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	16	19
1	31	19
2	60	16
3	95	16
4	126	16
5	140	16
6	156	16
7	201	16
8	297	16
9	359	16
10	442	16
11	643	16
12	998	16
13	4559	16
done	5000	16

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
0.0b	(+ 0.99229 (* x 0.04481))
0.1b	(* x (+ 0.99229 (* x 0.04481)))
13.0b	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite359.0ms

Algorithm

rewrite-expression-head

Rules

98×	`add-sqr-sqrt`
91×	`*-un-lft-identity`
90×	`prod-diff`
89×	`add-cube-cbrt`
64×	`times-frac`
48×	`distribute-rgt-in` `distribute-lft-in`
14×	`associate-/r/`
10×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+`
9×	`associate-r`
8×	`pow1`
7×	`div-inv`
6×	`associate-l` `add-log-exp`
4×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u`
3×	`fma-def` `associate-/r` `associate-/l`
2×	`sub-neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `associate-/l/` `difference-of-squares` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3--` `frac-2neg` `div-exp` `clear-num` `sum-log` `flip--` `distribute-lft-out--`

Counts

4 → 192

Calls

4 calls:

251.0ms	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
6.0ms	(+ 0.99229 (* x 0.04481))
29.0ms	(* x (+ 0.99229 (* x 0.04481)))
51.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series330.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
47.0ms	(+ 0.99229 (* x 0.04481))
80.0ms	(* x (+ 0.99229 (* x 0.04481)))
84.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify2.0s

Counts

204 → 204

Iterations

Useful iterations: 2 (783.0ms)

Iter	Nodes	Cost
0	366	7100
1	917	6144
2	3623	4832
done	5000	4832

prune762.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 0.70711 (- (* (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)) (fma 0.27061 x 2.30753)) x))
0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.2b	(/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))
12.9b	(* (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)) (fma 0.27061 x 2.30753))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
24×	`add-cube-cbrt`
20×	`times-frac`
19×	`add-exp-log`
16×	`associate-l`
13×	`add-cbrt-cube`
10×	`distribute-rgt-in` `distribute-lft-in`
9×	`pow1`
7×	`fma-udef`
6×	`associate-r` `prod-diff`
5×	`prod-exp`
4×	`expm1-log1p-u` `div-exp` `associate--l+` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`associate-/r` `cbrt-unprod` `associate-/l`
2×	`cbrt-undiv` `sub-neg` `rec-exp` `1-exp` `associate-r/` `pow-prod-down` `-commutative` `div-inv`
1×	`flip3--` `pow-flip` `frac-2neg` `associate-*l/` `clear-num` `flip--` `inv-pow`

Counts

4 → 118

Calls

4 calls:

56.0ms	(* 0.70711 (- (* (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)) (fma 0.27061 x 2.30753)) x))
0.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
5.0ms	(/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))
33.0ms	(* (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)) (fma 0.27061 x 2.30753))

series283.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(* 0.70711 (- (* (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)) (fma 0.27061 x 2.30753)) x))
32.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
72.0ms	(/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))
80.0ms	(* (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)) (fma 0.27061 x 2.30753))

simplify2.4s

Counts

130 → 130

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	240	2455
1	575	2162
2	2967	1912
done	5001	1910

prune613.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.1b	(/ 2.30753 (fma x (fma 0.04481 x 0.99229) 1.0))
0.1b	(/ 0.70711 (fma x (fma 0.04481 x 0.99229) 1.0))
13.0b	(* (* 0.27061 x) (/ 0.70711 (fma x (fma 0.04481 x 0.99229) 1.0)))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
20×	`add-exp-log` `add-cbrt-cube`
13×	`associate-r`
9×	`pow1`
6×	`prod-exp` `associate-/r` `cbrt-unprod` `associate-/l`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `div-inv`
2×	`frac-2neg` `clear-num`
1×	`associate-r/` `associate-l` `-commutative` `fma-udef`

Counts

4 → 103

Calls

4 calls:

0.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
5.0ms	(/ 2.30753 (fma x (fma 0.04481 x 0.99229) 1.0))
10.0ms	(/ 0.70711 (fma x (fma 0.04481 x 0.99229) 1.0))
48.0ms	(* (* 0.27061 x) (/ 0.70711 (fma x (fma 0.04481 x 0.99229) 1.0)))

series306.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
75.0ms	(/ 2.30753 (fma x (fma 0.04481 x 0.99229) 1.0))
71.0ms	(/ 0.70711 (fma x (fma 0.04481 x 0.99229) 1.0))
112.0ms	(* (* 0.27061 x) (/ 0.70711 (fma x (fma 0.04481 x 0.99229) 1.0)))

simplify1.9s

Counts

115 → 115

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	201	1846
1	484	1791
2	2404	1561
done	5001	1545

prune736.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes117.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	34
1	27	34
done	27	34

end0.0ms

sample1.2s

Algorithm

intervals

Results

1.0s

8000×

body

valid