Details

sample116.0ms

Algorithm

intervals

Results

90.0ms

579×

body

valid

simplify880.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2001
5	1449
4	529
3	151
2	53
1	28
0	12

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

14.0ms	(+ (* a a) (* b b))
15.0ms	(+ (* a a) (* b b))
36.0ms	(+ (* (* b b) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))
73.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))

series246.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(+ (* a a) (* b b))
40.0ms	(+ (* a a) (* b b))
95.0ms	(+ (* (* b b) 4) (* (+ (* a a) (* b b)) (+ (* a a) (* b b))))
68.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))

simplify915.0ms

Counts

86 → 86

Iterations

Iter	Nodes
done	2001
2	1482
1	379
0	103

prune428.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt (+ (* a a) (* b b))) (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b))))
0.2b	(* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b)))
10.8b	(sqrt (+ (* a a) (* b b)))
10.8b	(sqrt (+ (* a a) (* b b)))

rewrite209.0ms

Algorithm

rewrite-expression-head

Rules

46×	`sqrt-div`
35×	`flip3-+` `flip-+`
32×	`frac-times`
30×	`pow1`
19×	`add-sqr-sqrt`
16×	`associate-*r/`
15×	`pow-prod-up`
13×	`sqrt-prod`
12×	`sqrt-pow1` `pow1/2` `associate-l`
11×	`*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
10×	`associate-*l/`
6×	`pow-plus`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
2×	`rem-sqrt-square` `cube-unmult` `*-commutative` `unswap-sqr`

Counts

4 → 131

Calls

4 calls:

125.0ms	(* (sqrt (+ (* a a) (* b b))) (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b))))
65.0ms	(* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b)))
11.0ms	(sqrt (+ (* a a) (* b b)))
6.0ms	(sqrt (+ (* a a) (* b b)))

series264.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (sqrt (+ (* a a) (* b b))) (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b))))
108.0ms	(* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b)))
55.0ms	(sqrt (+ (* a a) (* b b)))
60.0ms	(sqrt (+ (* a a) (* b b)))

simplify585.0ms

Counts

143 → 143

Iterations

Iter	Nodes
done	2000
1	546
0	166

prune650.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* a a) (* b b))
0.0b	(pow (sqrt (+ (* a a) (* b b))) 4)
0.0b	(+ (* (* b b) 4) (pow (sqrt (+ (* a a) (* b b))) 4))
10.8b	(sqrt (+ (* a a) (* b b)))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
7×	`pow1`
6×	`unpow-prod-down` `sqrt-prod`
5×	`add-exp-log`
4×	`add-cbrt-cube` `insert-posit16`
3×	`pow-unpow` `pow-pow` `flip3-+` `flip-+`
2×	`+-commutative` `sum-log` `sqrt-pow1` `pow1/2` `sqrt-div`
1×	`pow-to-exp` `rem-sqrt-square` `pow-exp` `sqrt-pow2` `sqr-pow`

Counts

4 → 64

Calls

4 calls:

14.0ms	(+ (* a a) (* b b))
15.0ms	(pow (sqrt (+ (* a a) (* b b))) 4)
61.0ms	(+ (* (* b b) 4) (pow (sqrt (+ (* a a) (* b b))) 4))
8.0ms	(sqrt (+ (* a a) (* b b)))

series268.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(+ (* a a) (* b b))
86.0ms	(pow (sqrt (+ (* a a) (* b b))) 4)
81.0ms	(+ (* (* b b) 4) (pow (sqrt (+ (* a a) (* b b))) 4))
59.0ms	(sqrt (+ (* a a) (* b b)))

simplify557.0ms

Counts

76 → 76

Iterations

Iter	Nodes
done	2002
2	978
1	329
0	112

prune362.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* b b) (* 2 (* a a)))
0.0b	(+ (* (* b b) 4) (+ (* (* b b) (+ (* b b) (* 2 (* a a)))) (* (* a a) (* a a))))
0.2b	(* (* a a) (* a a))
0.7b	(* (* b b) (+ (* b b) (* 2 (* a a))))

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 114

Calls

4 calls:

17.0ms	(+ (* b b) (* 2 (* a a)))
70.0ms	(+ (* (* b b) 4) (+ (* (* b b) (+ (* b b) (* 2 (* a a)))) (* (* a a) (* a a))))
49.0ms	(* (* a a) (* a a))
27.0ms	(* (* b b) (+ (* b b) (* 2 (* a a))))

series257.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(+ (* b b) (* 2 (* a a)))
81.0ms	(+ (* (* b b) 4) (+ (* (* b b) (+ (* b b) (* 2 (* a a)))) (* (* a a) (* a a))))
42.0ms	(* (* a a) (* a a))
83.0ms	(* (* b b) (+ (* b b) (* 2 (* a a))))

simplify454.0ms

Counts

126 → 126

Iterations

Iter	Nodes
done	2001
1	487
0	137

prune368.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes159.0ms

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	17
1	17
0	12

end0.0ms

sample3.6s

Algorithm

intervals

Results

3.1s

20362×

body

valid