Details

sample48.0ms

Algorithm

intervals

Results

30.0ms

642×

body

valid

simplify2.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	3678
5	427
4	120
3	66
2	40
1	25
0	12

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* a a) (* b b))
0.0b	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
0.0b	(* 4.0 (* b b))
0.3b	(pow (+ (* a a) (* b b)) 2.0)

rewrite97.0ms

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`
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` `unswap-sqr` `sqr-pow`

Counts

4 → 58

Calls

4 calls:

6.0ms	(+ (* a a) (* b b))
59.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
15.0ms	(* 4.0 (* b b))
16.0ms	(pow (+ (* a a) (* b b)) 2.0)

series301.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ (* a a) (* b b))
77.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
50.0ms	(* 4.0 (* b b))
138.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify1.2s

Counts

70 → 70

Iterations

Iter	Nodes
done	5001
2	2168
1	383
0	117

prune399.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* a a) (* b b))
0.0b	(+ (pow (+ (* a a) (* b b)) 2.0) (* b (* b 4.0)))
0.3b	(pow (+ (* a a) (* b b)) 2.0)

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-log-exp`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-exp-log`
3×	`pow-unpow` `unpow-prod-down` `add-cbrt-cube`
2×	`+-commutative` `sum-log` `flip3-+` `flip-+`
1×	`pow-to-exp` `pow-pow` `pow-exp` `sqr-pow`

Counts

3 → 39

Calls

3 calls:

6.0ms	(+ (* a a) (* b b))
66.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* b (* b 4.0)))
11.0ms	(pow (+ (* a a) (* b b)) 2.0)

series278.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ (* a a) (* b b))
103.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* b (* b 4.0)))
141.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify1.3s

Counts

48 → 48

Iterations

Iter	Nodes
done	5001
2	1600
1	306
0	94

prune302.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (pow b 4) (pow a 4)) (* (* (* (* a a) 2) b) b))
0.6b	(* (* (* (* a a) 2) b) b)
0.8b	(* (* (* a a) 2) b)

rewrite354.0ms

Algorithm

rewrite-expression-head

Rules

26×	`pow1` `add-cbrt-cube` `add-exp-log`
16×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-log-exp`
6×	`associate-r`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
3×	`sum-log`
2×	`associate-l` `*-commutative`
1×	`+-commutative` `associate-+l+` `flip3-+` `flip-+`

Counts

3 → 58

Calls

3 calls:

99.0ms	(+ (+ (pow b 4) (pow a 4)) (* (* (* (* a a) 2) b) b))
201.0ms	(* (* (* (* a a) 2) b) b)
50.0ms	(* (* (* a a) 2) b)

series165.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(+ (+ (pow b 4) (pow a 4)) (* (* (* (* a a) 2) b) b))
50.0ms	(* (* (* (* a a) 2) b) b)
41.0ms	(* (* (* a a) 2) b)

simplify1.9s

Counts

67 → 67

Iterations

Iter	Nodes
done	5001
2	2404
1	327
0	105

prune297.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* b b) 2.0)
0.0b	(+ (+ (* (* a a) (* (* b b) 2.0)) (pow b 4)) (* 4.0 (* b b)))
0.0b	(* 4.0 (* b b))
2.5b	(* (* a a) (* (* b b) 2.0))

rewrite427.0ms

Algorithm

rewrite-expression-head

Rules

35×	`pow1` `add-cbrt-cube` `add-exp-log`
21×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-log-exp`
8×	`add-sqr-sqrt`
6×	`*-un-lft-identity` `add-cube-cbrt`
5×	`associate-r` `associate-l`
3×	`sum-log` `*-commutative`
2×	`unswap-sqr`
1×	`+-commutative` `associate-+l+` `flip3-+` `flip-+`

Counts

4 → 79

Calls

4 calls:

14.0ms	(* (* b b) 2.0)
324.0ms	(+ (+ (* (* a a) (* (* b b) 2.0)) (pow b 4)) (* 4.0 (* b b)))
16.0ms	(* 4.0 (* b b))
67.0ms	(* (* a a) (* (* b b) 2.0))

series244.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (* b b) 2.0)
87.0ms	(+ (+ (* (* a a) (* (* b b) 2.0)) (pow b 4)) (* 4.0 (* b b)))
41.0ms	(* 4.0 (* b b))
67.0ms	(* (* a a) (* (* b b) 2.0))

simplify2.3s

Counts

91 → 91

Iterations

Iter	Nodes
done	5002
2	3000
1	399
0	123

prune384.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes144.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	17
1	17
0	13

end0.0ms

sample2.7s

Algorithm

intervals

Results

2.1s

20748×

body

valid