Details

sample139.0ms

Algorithm

intervals

Results

115.0ms

667×

body

valid

simplify1.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	2010
4	2010
3	748
2	187
1	56
0	19

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize50.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))
0.1b	(* (* a a) (+ 1 a))
0.2b	(* (* b b) (- 1 (* 3 a)))
0.3b	(pow (+ (* a a) (* b b)) 2)

rewrite192.0ms

Algorithm

rewrite-expression-head

Rules

18×	`associate-*r/`
17×	`pow1` `add-exp-log`
16×	`add-cbrt-cube`
14×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
10×	`associate-r` `add-cube-cbrt`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`associate-l`
4×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `frac-add` `flip-+` `insert-posit16` `add-log-exp`
3×	`pow-unpow` `unpow-prod-down` `flip3--` `*-commutative` `flip--` `unswap-sqr`
2×	`sub-neg`
1×	`pow-to-exp` `pow-pow` `pow-exp` `distribute-lft-out` `unpow2` `sqr-pow`

Counts

4 → 97

Calls

4 calls:

91.0ms	(* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))
38.0ms	(* (* a a) (+ 1 a))
46.0ms	(* (* b b) (- 1 (* 3 a)))
15.0ms	(pow (+ (* a a) (* b b)) 2)

series231.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a)))))
63.0ms	(* (* a a) (+ 1 a))
68.0ms	(* (* b b) (- 1 (* 3 a)))
44.0ms	(pow (+ (* a a) (* b b)) 2)

simplify1.0s

Counts

109 → 109

Iterations

Iter	Nodes
done	2005
2	2005
1	719
0	205

prune642.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize92.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* b b) (* b b))
0.2b	(* (* b b) (- 1 (* 3 a)))
0.2b	(* (* a a) (* a a))
1.7b	(* (* a a) (* b b))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

259×	`pow1`
76×	`pow-prod-up`
63×	`pow-prod-down`
46×	`pow-sqr`
45×	`add-cbrt-cube` `add-exp-log`
40×	`pow-plus`
28×	`pow2`
27×	`prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `associate-r`
5×	`*-un-lft-identity` `add-cube-cbrt`
4×	`associate-l` `*-commutative` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `swap-sqr` `associate-*r/`
1×	`flip3--` `flip--`

Counts

4 → 184

Calls

4 calls:

23.0ms	(* (* b b) (* b b))
22.0ms	(* (* b b) (- 1 (* 3 a)))
41.0ms	(* (* a a) (* a a))
46.0ms	(* (* a a) (* b b))

series211.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (* b b) (* b b))
71.0ms	(* (* b b) (- 1 (* 3 a)))
51.0ms	(* (* a a) (* a a))
40.0ms	(* (* a a) (* b b))

simplify1.2s

Counts

196 → 196

Iterations

Iter	Nodes
done	2001
3	2001
2	1572
1	414
0	136

prune523.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize69.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* a a) (+ 1 a))
0.2b	(* (* b b) (* b b))
0.2b	(* (* b b) (- 1 (* 3 a)))
1.7b	(* (* a a) (* b b))

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

153×	`pow1`
43×	`pow-prod-down`
40×	`pow-prod-up`
38×	`add-cbrt-cube` `add-exp-log`
24×	`pow-sqr`
22×	`pow-plus` `prod-exp` `cbrt-unprod`
15×	`pow2`
9×	`associate-r`
8×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`add-cube-cbrt`
4×	`associate-l` `associate-r/` `-commutative` `insert-posit16` `add-log-exp` `unswap-sqr`
3×	`distribute-rgt-in` `distribute-lft-in`
2×	`sub-neg`
1×	`flip3-+` `flip3--` `swap-sqr` `flip-+` `flip--` `distribute-lft-out`

Counts

4 → 145

Calls

4 calls:

28.0ms	(* (* a a) (+ 1 a))
46.0ms	(* (* b b) (* b b))
45.0ms	(* (* b b) (- 1 (* 3 a)))
46.0ms	(* (* a a) (* b b))

series257.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(* (* a a) (+ 1 a))
58.0ms	(* (* b b) (* b b))
67.0ms	(* (* b b) (- 1 (* 3 a)))
46.0ms	(* (* a a) (* b b))

simplify1.5s

Counts

157 → 157

Iterations

Iter	Nodes
done	2007
3	2007
2	1857
1	497
0	151

prune614.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize74.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 2 (* (* a a) (* b b)))
0.1b	(* (* a a) (+ 1 a))
0.2b	(* (* b b) (- 1 (* 3 a)))
1.7b	(* (* a a) (* b b))

rewrite181.0ms

Algorithm

rewrite-expression-head

Rules

60×	`pow1`
44×	`add-cbrt-cube` `add-exp-log`
33×	`pow-prod-down`
27×	`prod-exp` `cbrt-unprod`
9×	`add-sqr-sqrt` `-un-lft-identity` `associate-r*`
7×	`add-cube-cbrt`
6×	`associate-l`
4×	`pow-plus` `associate-r/` `-commutative` `pow-prod-up` `insert-posit16` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `unswap-sqr`
2×	`pow2` `sub-neg` `pow-sqr`
1×	`flip3-+` `flip3--` `flip-+` `flip--` `distribute-lft-out`

Counts

4 → 109

Calls

4 calls:

74.0ms	(* 2 (* (* a a) (* b b)))
39.0ms	(* (* a a) (+ 1 a))
43.0ms	(* (* b b) (- 1 (* 3 a)))
23.0ms	(* (* a a) (* b b))

series252.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* 2 (* (* a a) (* b b)))
74.0ms	(* (* a a) (+ 1 a))
78.0ms	(* (* b b) (- 1 (* 3 a)))
41.0ms	(* (* a a) (* b b))

simplify1.6s

Counts

121 → 121

Iterations

Iter	Nodes
done	2000
3	2000
2	1793
1	452
0	146

prune650.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes84.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	36
1	36
0	23

end0.0ms

sample5.5s

Algorithm

intervals

Results

5.1s

20540×

body

valid