Details

sample74.0ms

Algorithm

intervals

Results

53.0ms

656×

body

valid

simplify3.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	3602
5	1449
4	529
3	151
2	53
1	28
0	12

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* a a) (* b b))
0.0b	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)))
0.0b	(* 4 (* b b))
0.3b	(pow (+ (* a a) (* b b)) 2)

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-exp-log`
9×	`add-cbrt-cube`
8×	`add-sqr-sqrt` `add-log-exp`
7×	`*-un-lft-identity` `add-cube-cbrt`
4×	`insert-posit16`
3×	`pow-unpow` `unpow-prod-down` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`+-commutative` `sum-log` `flip3-+` `flip-+`
1×	`pow-to-exp` `pow-pow` `associate-r` `pow-exp` `*-commutative` `unpow2` `unswap-sqr` `sqr-pow`

Counts

4 → 63

Calls

4 calls:

8.0ms	(+ (* a a) (* b b))
79.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)))
25.0ms	(* 4 (* b b))
10.0ms	(pow (+ (* a a) (* b b)) 2)

series233.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ (* a a) (* b b))
106.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)))
39.0ms	(* 4 (* b b))
48.0ms	(pow (+ (* a a) (* b b)) 2)

simplify1.6s

Counts

75 → 75

Iterations

Iter	Nodes
done	5001
2	1551
1	368
0	113

prune370.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* (* b b) 2)))) (* 4 (* b b)))
0.0b	(* 4 (* b b))
0.2b	(* (* b b) (* b b))
1.1b	(* (* a a) (+ (* a a) (* (* b b) 2)))

rewrite448.0ms

Algorithm

rewrite-expression-head

Rules

125×	`pow1`
36×	`pow-prod-up`
29×	`pow-prod-down`
26×	`add-cbrt-cube` `add-exp-log`
22×	`pow-sqr`
18×	`pow-plus`
14×	`prod-exp` `cbrt-unprod`
13×	`pow2`
9×	`add-log-exp`
8×	`add-sqr-sqrt`
6×	`*-un-lft-identity` `add-cube-cbrt`
5×	`associate-r` `associate-l`
4×	`insert-posit16`
3×	`sum-log` `*-commutative` `unswap-sqr`
2×	`flip3-+` `associate-*r/` `flip-+`
1×	`distribute-rgt-in` `+-commutative` `associate-+l+` `distribute-lft-in` `swap-sqr`

Counts

4 → 122

Calls

4 calls:

276.0ms	(+ (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* (* b b) 2)))) (* 4 (* b b)))
33.0ms	(* 4 (* b b))
59.0ms	(* (* b b) (* b b))
74.0ms	(* (* a a) (+ (* a a) (* (* b b) 2)))

series308.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(+ (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* (* b b) 2)))) (* 4 (* b b)))
46.0ms	(* 4 (* b b))
56.0ms	(* (* b b) (* b b))
82.0ms	(* (* a a) (+ (* a a) (* (* b b) 2)))

simplify1.8s

Counts

134 → 134

Iterations

Iter	Nodes
done	5000
2	2190
1	497
0	146

prune466.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* a a) (* (* b b) 2))
0.0b	(+ (+ (pow b 4) (* (* a a) (+ (* a a) (* (* b b) 2)))) (* 4 (* b b)))
0.0b	(* 4 (* b b))
1.1b	(* (* a a) (+ (* a a) (* (* b b) 2)))

rewrite202.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1` `add-cbrt-cube` `add-exp-log`
11×	`add-log-exp`
8×	`add-sqr-sqrt`
6×	`*-un-lft-identity` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
4×	`sum-log` `associate-r` `associate-l` `insert-posit16`
3×	`flip3-+` `flip-+`
2×	`+-commutative` `associate-r/` `-commutative` `unswap-sqr`
1×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`

Counts

4 → 70

Calls

4 calls:

18.0ms	(+ (* a a) (* (* b b) 2))
103.0ms	(+ (+ (pow b 4) (* (* a a) (+ (* a a) (* (* b b) 2)))) (* 4 (* b b)))
37.0ms	(* 4 (* b b))
41.0ms	(* (* a a) (+ (* a a) (* (* b b) 2)))

series334.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(+ (* a a) (* (* b b) 2))
125.0ms	(+ (+ (pow b 4) (* (* a a) (+ (* a a) (* (* b b) 2)))) (* 4 (* b b)))
53.0ms	(* 4 (* b b))
108.0ms	(* (* a a) (+ (* a a) (* (* b b) 2)))

simplify2.0s

Counts

82 → 82

Iterations

Iter	Nodes
done	5043
2	2330
1	416
0	126

prune485.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (pow b 4) (* a (* a (+ (* a a) (* (* b b) 2))))) (* 4 (* b b)))
0.0b	(* 4 (* b b))
0.1b	(* a (* a (+ (* a a) (* (* b b) 2))))
0.2b	(* a (+ (* a a) (* (* b b) 2)))

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-cbrt-cube` `add-exp-log`
11×	`add-sqr-sqrt`
9×	`associate-l` `add-log-exp`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-*r/`
5×	`distribute-rgt-in` `distribute-lft-in` `associate-r`
4×	`insert-posit16`
3×	`sum-log` `flip3-+` `*-commutative` `flip-+`
2×	`unswap-sqr`
1×	`+-commutative` `associate-+l+`

Counts

4 → 82

Calls

4 calls:

56.0ms	(+ (+ (pow b 4) (* a (* a (+ (* a a) (* (* b b) 2))))) (* 4 (* b b)))
18.0ms	(* 4 (* b b))
35.0ms	(* a (* a (+ (* a a) (* (* b b) 2))))
48.0ms	(* a (+ (* a a) (* (* b b) 2)))

series300.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(+ (+ (pow b 4) (* a (* a (+ (* a a) (* (* b b) 2))))) (* 4 (* b b)))
30.0ms	(* 4 (* b b))
86.0ms	(* a (* a (+ (* a a) (* (* b b) 2))))
92.0ms	(* a (+ (* a a) (* (* b b) 2)))

simplify1.9s

Counts

94 → 94

Iterations

Iter	Nodes
done	5086
2	2422
1	469
0	143

prune557.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes152.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	25
1	25
0	16

end1.0ms

sample2.7s

Algorithm

intervals

Results

2.3s

20324×

body

valid