Details

sample150.0ms

Algorithm

intervals

Results

121.0ms

661×

body

valid

simplify2.3s

Counts

1 → 1

Iterations

Iter	Nodes
5	4205
4	1518
3	553
2	164
1	52
0	18

prune18.0ms

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 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))
0.1b	(* (* a a) (- 1 a))
0.3b	(pow (+ (* a a) (* b b)) 2)
0.6b	(* (* b b) (+ 3 a))

rewrite175.0ms

Algorithm

rewrite-expression-head

Rules

18×	`associate-*r/`
17×	`add-sqr-sqrt` `pow1` `add-exp-log`
16×	`add-cbrt-cube`
15×	`*-un-lft-identity`
13×	`associate-r`
10×	`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` `difference-of-squares`
1×	`pow-to-exp` `pow-pow` `pow-exp` `distribute-lft-out` `distribute-lft-out--` `unpow2` `sqr-pow`

Counts

4 → 100

Calls

4 calls:

83.0ms	(* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))
40.0ms	(* (* a a) (- 1 a))
17.0ms	(pow (+ (* a a) (* b b)) 2)
33.0ms	(* (* b b) (+ 3 a))

series263.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a))))
72.0ms	(* (* a a) (- 1 a))
64.0ms	(pow (+ (* a a) (* b b)) 2)
58.0ms	(* (* b b) (+ 3 a))

simplify1.3s

Counts

112 → 112

Iterations

Iter	Nodes
2	2609
1	669
0	213

prune609.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (* a a) (* b b)) (- 4 (* 4 a)))
0.0b	(+ (+ (* a a) (* b b)) (+ 12 (* 4 a)))
1.0b	(* (* b b) (+ (+ (* a a) (* b b)) (+ 12 (* 4 a))))
2.2b	(* (* a a) (+ (+ (* a a) (* b b)) (- 4 (* 4 a))))

rewrite303.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 104

Calls

4 calls:

34.0ms	(+ (+ (* a a) (* b b)) (- 4 (* 4 a)))
56.0ms	(+ (+ (* a a) (* b b)) (+ 12 (* 4 a)))
110.0ms	(* (* b b) (+ (+ (* a a) (* b b)) (+ 12 (* 4 a))))
102.0ms	(* (* a a) (+ (+ (* a a) (* b b)) (- 4 (* 4 a))))

series216.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(+ (+ (* a a) (* b b)) (- 4 (* 4 a)))
54.0ms	(+ (+ (* a a) (* b b)) (+ 12 (* 4 a)))
55.0ms	(* (* b b) (+ (+ (* a a) (* b b)) (+ 12 (* 4 a))))
52.0ms	(* (* a a) (+ (+ (* a a) (* b b)) (- 4 (* 4 a))))

simplify2.1s

Counts

116 → 116

Iterations

Iter	Nodes
2	4503
1	885
0	226

prune626.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (* a a) (* b b)) (+ 12 (* 4 a)))
0.1b	(* b (+ (+ (* a a) (* b b)) (+ 12 (* 4 a))))
0.1b	(* b (* b (+ (+ (* a a) (* b b)) (+ 12 (* 4 a)))))
2.2b	(* (* a a) (+ (+ (* a a) (* b b)) (- 4 (* 4 a))))

rewrite330.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 108

Calls

4 calls:

41.0ms	(+ (+ (* a a) (* b b)) (+ 12 (* 4 a)))
94.0ms	(* b (+ (+ (* a a) (* b b)) (+ 12 (* 4 a))))
88.0ms	(* b (* b (+ (+ (* a a) (* b b)) (+ 12 (* 4 a)))))
104.0ms	(* (* a a) (+ (+ (* a a) (* b b)) (- 4 (* 4 a))))

series245.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ (+ (* a a) (* b b)) (+ 12 (* 4 a)))
65.0ms	(* b (+ (+ (* a a) (* b b)) (+ 12 (* 4 a))))
79.0ms	(* b (* b (+ (+ (* a a) (* b b)) (+ 12 (* 4 a)))))
62.0ms	(* (* a a) (+ (+ (* a a) (* b b)) (- 4 (* 4 a))))

simplify1.6s

Counts

120 → 120

Iterations

Iter	Nodes
2	4126
1	839
0	239

prune749.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.1b	(* a (* a (+ (+ (* a a) (* b b)) (- 4 (* 4 a)))))
0.1b	(* b (+ (+ (* a a) (* b b)) (+ 12 (* 4 a))))
0.1b	(* a (+ (+ (* a a) (* b b)) (- 4 (* 4 a))))
0.1b	(* b (* b (+ (+ (* a a) (* b b)) (+ 12 (* 4 a)))))

rewrite434.0ms

Algorithm

rewrite-expression-head

Rules

36×	`associate-*r/`
18×	`pow1` `add-cbrt-cube` `add-exp-log`
16×	`flip3-+` `frac-add` `flip-+`
14×	`add-sqr-sqrt` `*-un-lft-identity`
12×	`associate-l`
10×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `add-cube-cbrt`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`flip3--` `*-commutative` `insert-posit16` `flip--` `add-log-exp`
2×	`distribute-lft-out` `unswap-sqr`

Counts

4 → 114

Calls

4 calls:

109.0ms	(* a (* a (+ (+ (* a a) (* b b)) (- 4 (* 4 a)))))
98.0ms	(* b (+ (+ (* a a) (* b b)) (+ 12 (* 4 a))))
106.0ms	(* a (+ (+ (* a a) (* b b)) (- 4 (* 4 a))))
118.0ms	(* b (* b (+ (+ (* a a) (* b b)) (+ 12 (* 4 a)))))

series274.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* a (* a (+ (+ (* a a) (* b b)) (- 4 (* 4 a)))))
63.0ms	(* b (+ (+ (* a a) (* b b)) (+ 12 (* 4 a))))
67.0ms	(* a (+ (+ (* a a) (* b b)) (- 4 (* 4 a))))
79.0ms	(* b (* b (+ (+ (* a a) (* b b)) (+ 12 (* 4 a)))))

simplify1.4s

Counts

126 → 126

Iterations

Iter	Nodes
2	3746
1	787
0	241

prune798.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

regimes329.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
2	33
1	33
0	21

end0.0ms

sample4.6s

Algorithm

intervals

Results

4.2s

20442×

body

valid