Details

sample105.0ms

Algorithm

intervals

Results

78.0ms

656×

body

valid

simplify2.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5009
4	3931
3	672
2	166
1	54
0	18

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize52.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 4 (- (+ (* (* b b) (+ 3 a)) (* a a)) (* a (* a a))))
0.1b	(* a (* a a))
0.3b	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))
0.8b	(* (* b b) (+ 3 a))

rewrite665.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1`
18×	`add-sqr-sqrt` `add-cbrt-cube` `add-exp-log`
14×	`*-un-lft-identity`
12×	`add-cube-cbrt`
11×	`associate-r`
10×	`associate-l`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`flip3-+` `flip-+`
6×	`associate-*r/` `pow-prod-up`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`frac-times` `*-commutative` `insert-posit16` `add-log-exp` `unswap-sqr`
3×	`swap-sqr`
2×	`pow2` `sub-neg` `pow-plus` `associate-*l/` `associate--l+` `pow-sqr`
1×	`flip3--` `cube-unmult` `flip--` `distribute-lft-out`

Counts

4 → 113

Calls

4 calls:

529.0ms	(* 4 (- (+ (* (* b b) (+ 3 a)) (* a a)) (* a (* a a))))
34.0ms	(* a (* a a))
64.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))
35.0ms	(* (* b b) (+ 3 a))

series272.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(* 4 (- (+ (* (* b b) (+ 3 a)) (* a a)) (* a (* a a))))
69.0ms	(* a (* a a))
48.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))
47.0ms	(* (* b b) (+ 3 a))

simplify2.3s

Counts

125 → 125

Iterations

Iter	Nodes
done	5000
2	2712
1	652
0	199

prune626.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize83.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b))))
0.8b	(* (* b b) (+ 3 a))
8.7b	(sqrt (+ (* a a) (* b b)))
8.7b	(sqrt (+ (* a a) (* b b)))

rewrite173.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`pow1`
12×	`*-un-lft-identity`
11×	`add-cbrt-cube` `add-exp-log`
10×	`sqrt-div` `associate-r` `add-cube-cbrt` `sqrt-prod`
9×	`flip3-+` `flip-+`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `associate-*r/` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`sqrt-pow1` `pow1/2` `unswap-sqr`
2×	`rem-sqrt-square` `associate-l/` `-commutative` `pow-prod-up`
1×	`distribute-rgt-in` `distribute-lft-in` `pow3` `distribute-lft-out`

Counts

4 → 91

Calls

4 calls:

81.0ms	(* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b))))
56.0ms	(* (* b b) (+ 3 a))
15.0ms	(sqrt (+ (* a a) (* b b)))
16.0ms	(sqrt (+ (* a a) (* b b)))

series326.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b))))
63.0ms	(* (* b b) (+ 3 a))
65.0ms	(sqrt (+ (* a a) (* b b)))
47.0ms	(sqrt (+ (* a a) (* b b)))

simplify1.4s

Counts

103 → 103

Iterations

Iter	Nodes
done	5001
2	1516
1	365
0	130

prune661.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (pow (sqrt (+ (* a a) (* b b))) 3) (sqrt (+ (* a a) (* b b))))
0.8b	(* (* b b) (+ 3 a))
8.7b	(sqrt (+ (* a a) (* b b)))
8.7b	(sqrt (+ (* a a) (* b b)))

rewrite186.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
25×	`sqrt-prod`
19×	`associate-l`
16×	`*-un-lft-identity` `sqrt-div`
14×	`add-exp-log` `add-cube-cbrt`
13×	`unswap-sqr`
12×	`pow1`
11×	`add-cbrt-cube`
10×	`unpow-prod-down` `cube-prod` `associate-r`
9×	`flip3-+` `flip-+`
6×	`cube-div` `prod-exp`
4×	`frac-times` `associate-*r/` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`pow-prod-down` `sqr-pow`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `-commutative`
1×	`distribute-rgt-in` `cube-mult` `pow-to-exp` `distribute-lft-in` `pow-plus` `unpow3` `pow-exp` `pow-prod-up` `distribute-lft-out`

Counts

4 → 116

Calls

4 calls:

108.0ms	(* (pow (sqrt (+ (* a a) (* b b))) 3) (sqrt (+ (* a a) (* b b))))
35.0ms	(* (* b b) (+ 3 a))
15.0ms	(sqrt (+ (* a a) (* b b)))
25.0ms	(sqrt (+ (* a a) (* b b)))

series193.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (pow (sqrt (+ (* a a) (* b b))) 3) (sqrt (+ (* a a) (* b b))))
61.0ms	(* (* b b) (+ 3 a))
48.0ms	(sqrt (+ (* a a) (* b b)))
45.0ms	(sqrt (+ (* a a) (* b b)))

simplify1.8s

Counts

128 → 128

Iterations

Iter	Nodes
done	5001
2	1725
1	437
0	150

prune626.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* (* b b) (+ 3 a)) (* a a)) (* a (* a a)))
0.1b	(* a (* a a))
0.8b	(* (* b b) (+ 3 a))
8.7b	(sqrt (+ (* a a) (* b b)))

rewrite254.0ms

Algorithm

rewrite-expression-head

Rules

24×	`pow1`
14×	`add-cbrt-cube` `add-exp-log`
10×	`add-sqr-sqrt`
9×	`*-un-lft-identity` `add-log-exp`
7×	`add-cube-cbrt`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`associate-r` `pow-prod-up`
4×	`associate-l` `insert-posit16`
3×	`sqrt-prod`
2×	`flip3-+` `sqrt-div` `diff-log` `associate-r/` `-commutative` `flip-+` `unswap-sqr`
1×	`pow2` `distribute-rgt-in` `rem-sqrt-square` `sum-log` `sub-neg` `distribute-lft-in` `sqrt-pow1` `pow-plus` `flip3--` `pow1/2` `cube-unmult` `associate--l+` `pow-sqr` `flip--` `distribute-lft-out`

Counts

4 → 81

Calls

4 calls:

187.0ms	(- (+ (* (* b b) (+ 3 a)) (* a a)) (* a (* a a)))
20.0ms	(* a (* a a))
34.0ms	(* (* b b) (+ 3 a))
10.0ms	(sqrt (+ (* a a) (* b b)))

series193.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(- (+ (* (* b b) (+ 3 a)) (* a a)) (* a (* a a)))
37.0ms	(* a (* a a))
37.0ms	(* (* b b) (+ 3 a))
42.0ms	(sqrt (+ (* a a) (* b b)))

simplify1.3s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	1423
1	403
0	144

prune455.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes215.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	26
1	26
0	18

end0.0ms

sample3.1s

Algorithm

intervals

Results

2.7s

20324×

body

valid