Details

sample135.0ms

Algorithm

intervals

Results

112.0ms

664×

body

valid

simplify2.1s

Counts

1 → 1

Iterations

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

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* (* b b) (+ 3 a)) (* a a)) (* a (* a a)))
0.1b	(* a (* a a))
0.3b	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))
0.7b	(* (* b b) (+ 3 a))

rewrite240.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

136.0ms	(- (+ (* (* b b) (+ 3 a)) (* a a)) (* a (* a a)))
20.0ms	(* a (* a a))
44.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))
39.0ms	(* (* b b) (+ 3 a))

series189.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(- (+ (* (* b b) (+ 3 a)) (* a a)) (* a (* a a)))
38.0ms	(* a (* a a))
49.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))
41.0ms	(* (* b b) (+ 3 a))

simplify1.8s

Counts

113 → 113

Iterations

Iter	Nodes
done	5000
2	2391
1	581
0	172

prune465.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize50.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b))))
0.7b	(* (* b b) (+ 3 a))
7.1b	(sqrt (+ (* a a) (* b b)))
7.1b	(sqrt (+ (* a a) (* b b)))

rewrite73.0ms

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:

34.0ms	(* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b))))
25.0ms	(* (* b b) (+ 3 a))
6.0ms	(sqrt (+ (* a a) (* b b)))
6.0ms	(sqrt (+ (* a a) (* b b)))

series229.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b))))
39.0ms	(* (* b b) (+ 3 a))
37.0ms	(sqrt (+ (* a a) (* b b)))
50.0ms	(sqrt (+ (* a a) (* b b)))

simplify1.3s

Counts

103 → 103

Iterations

Iter	Nodes
done	5001
2	1516
1	365
0	130

prune549.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (pow (sqrt (+ (* a a) (* b b))) 3) (sqrt (+ (* a a) (* b b))))
0.7b	(* (* b b) (+ 3 a))
7.1b	(sqrt (+ (* a a) (* b b)))
7.1b	(sqrt (+ (* a a) (* b b)))

rewrite121.0ms

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:

64.0ms	(* (pow (sqrt (+ (* a a) (* b b))) 3) (sqrt (+ (* a a) (* b b))))
37.0ms	(* (* b b) (+ 3 a))
9.0ms	(sqrt (+ (* a a) (* b b)))
9.0ms	(sqrt (+ (* a a) (* b b)))

series169.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (pow (sqrt (+ (* a a) (* b b))) 3) (sqrt (+ (* a a) (* b b))))
39.0ms	(* (* b b) (+ 3 a))
37.0ms	(sqrt (+ (* a a) (* b b)))
55.0ms	(sqrt (+ (* a a) (* b b)))

simplify1.6s

Counts

128 → 128

Iterations

Iter	Nodes
done	5001
2	1725
1	437
0	150

prune595.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* (* b b) (+ 3 a)) (* a a)) (* a (* a a)))
0.1b	(* a (* a a))
0.7b	(* (* b b) (+ 3 a))
7.1b	(sqrt (+ (* a a) (* b b)))

rewrite189.0ms

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:

148.0ms	(- (+ (* (* b b) (+ 3 a)) (* a a)) (* a (* a a)))
13.0ms	(* a (* a a))
21.0ms	(* (* b b) (+ 3 a))
6.0ms	(sqrt (+ (* a a) (* b b)))

series178.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(- (+ (* (* b b) (+ 3 a)) (* a a)) (* a (* a a)))
35.0ms	(* a (* a a))
35.0ms	(* (* b b) (+ 3 a))
50.0ms	(sqrt (+ (* a a) (* b b)))

simplify1.3s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	1423
1	403
0	144

prune396.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes108.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	26
1	26
0	18

end0.0ms

sample3.5s

Algorithm

intervals

Results

3.1s

20122×

body

valid