Details

sample21.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify4.7s

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	218	16
9	252	16
10	325	16
11	457	16
12	782	16
13	1336	16
14	1645	16
15	1835	16
16	2563	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)))))

rewrite157.0ms

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:

42.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
85.0ms	(* 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)))))

series296.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)
93.0ms	(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
62.0ms	(* x (+ 0.99229 (* x 0.04481)))
58.0ms	(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify1.1s

Counts

265 → 265

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	370	9871
1	766	8434
2	2722	6463
done	5000	6427

prune476.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize13.0ms

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)))
4.0ms	(/ 1 (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series196.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ 1.0 (* x (+ 0.99229 (* x 0.04481))))
63.0ms	(* 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)))))

simplify710.0ms

Counts

111 → 111

Iterations

Useful iterations: 2 (166.0ms)

Iter	Nodes	Cost
0	195	1813
1	450	1712
2	1600	1279
done	5000	1279

prune299.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

5.0ms	(+ (* (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) 0.70711) (* (- x) 0.70711))
0.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
8.0ms	(* (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) 0.70711)
2.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

series243.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(+ (* (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) 0.70711) (* (- x) 0.70711))
25.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
76.0ms	(* (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) 0.70711)
67.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify616.0ms

Counts

102 → 102

Iterations

Useful iterations: done (613.0ms)

Iter	Nodes	Cost
0	170	1908
1	413	1797
2	1341	1608
done	5000	1607

prune298.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

series159.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(fma (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)) 0.70711 (* (- x) 0.70711))
31.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
62.0ms	(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify1.1s

Counts

58 → 58

Iterations

Useful iterations: 3 (315.0ms)

Iter	Nodes	Cost
0	115	1054
1	223	1033
2	607	901
3	2557	889
done	5000	889

prune177.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes12.0ms

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

sample371.0ms

Algorithm

intervals

Results

278.0ms

8000×

body

valid