Details

sample200.0ms

Algorithm

intervals

Results

168.0ms

632×

body

valid

simplify3.1s

Counts

1 → 1

Iterations

Iter	Nodes
5	5568
4	1638
3	539
2	179
1	54
0	19

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize41.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* a a) a)
0.1b	(* -12 (* a (* b b)))
0.3b	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))
0.7b	(* a (* b b))

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

44×	`pow1`
25×	`add-cbrt-cube` `add-exp-log`
15×	`add-sqr-sqrt`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`associate-l`
8×	`associate-r`
7×	`pow-plus` `pow-prod-up`
6×	`flip3-+` `flip-+`
4×	`frac-times` `*-commutative` `add-log-exp`
3×	`pow2` `swap-sqr` `pow-sqr` `unswap-sqr`
2×	`associate-l/` `associate-r/`
1×	`distribute-rgt-in` `distribute-lft-in` `pow3`

Counts

4 → 103

Calls

4 calls:

17.0ms	(* (* a a) a)
50.0ms	(* -12 (* a (* b b)))
47.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))
11.0ms	(* a (* b b))

series208.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* (* a a) a)
39.0ms	(* -12 (* a (* b b)))
63.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))
44.0ms	(* a (* b b))

simplify682.0ms

Counts

115 → 115

Iterations

Iter	Nodes
2	2006
1	484
0	143

prune1.4s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize60.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b))))
0.7b	(* a (* b b))
8.7b	(sqrt (+ (* a a) (* b b)))
8.7b	(sqrt (+ (* a a) (* b b)))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`pow1`
11×	`add-cbrt-cube` `add-exp-log`
10×	`*-un-lft-identity` `sqrt-div` `add-cube-cbrt` `sqrt-prod`
8×	`flip3-+` `flip-+`
7×	`associate-r`
6×	`associate-l`
4×	`frac-times` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`sqrt-pow1` `pow1/2` `unswap-sqr`
2×	`rem-sqrt-square` `associate-l/` `associate-r/` `*-commutative` `pow-prod-up`
1×	`pow3`

Counts

4 → 82

Calls

4 calls:

52.0ms	(* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b))))
11.0ms	(* a (* b b))
5.0ms	(sqrt (+ (* a a) (* b b)))
9.0ms	(sqrt (+ (* a a) (* b b)))

series295.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(* (+ (* a a) (* b b)) (sqrt (+ (* a a) (* b b))))
34.0ms	(* a (* b b))
61.0ms	(sqrt (+ (* a a) (* b b)))
56.0ms	(sqrt (+ (* a a) (* b b)))

simplify3.0s

Counts

94 → 94

Iterations

Iter	Nodes
3	5141
2	1069
1	277
0	111

prune1.7s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize67.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (pow (sqrt (+ (* a a) (* b b))) 3) (sqrt (+ (* a a) (* b b))))
0.7b	(* a (* b b))
8.7b	(sqrt (+ (* a a) (* b b)))
8.7b	(sqrt (+ (* a a) (* b b)))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
25×	`sqrt-prod`
21×	`associate-l`
16×	`sqrt-div`
14×	`*-un-lft-identity` `add-exp-log` `add-cube-cbrt`
13×	`unswap-sqr`
12×	`pow1`
11×	`add-cbrt-cube`
10×	`unpow-prod-down` `cube-prod`
8×	`flip3-+` `flip-+`
7×	`associate-r`
6×	`cube-div` `prod-exp`
4×	`frac-times` `cbrt-unprod` `add-log-exp`
3×	`pow-prod-down` `sqr-pow`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `associate-r/` `*-commutative`
1×	`cube-mult` `pow-to-exp` `pow-plus` `unpow3` `pow-exp` `pow-prod-up`

Counts

4 → 107

Calls

4 calls:

57.0ms	(* (pow (sqrt (+ (* a a) (* b b))) 3) (sqrt (+ (* a a) (* b b))))
12.0ms	(* a (* b b))
10.0ms	(sqrt (+ (* a a) (* b b)))
11.0ms	(sqrt (+ (* a a) (* b b)))

series201.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (pow (sqrt (+ (* a a) (* b b))) 3) (sqrt (+ (* a a) (* b b))))
45.0ms	(* a (* b b))
54.0ms	(sqrt (+ (* a a) (* b b)))
52.0ms	(sqrt (+ (* a a) (* b b)))

simplify4.3s

Counts

119 → 119

Iterations

Iter	Nodes
3	6165
2	1365
1	354
0	130

prune1.8s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* a a) a)
0.1b	(* -12 (* a (* b b)))
0.7b	(* a (* b b))
8.7b	(sqrt (+ (* a a) (* b b)))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

38×	`pow1`
23×	`add-cbrt-cube` `add-exp-log`
12×	`pow-prod-down` `prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-l`
6×	`pow-plus` `pow-prod-up`
5×	`associate-r`
4×	`add-log-exp`
3×	`*-commutative` `sqrt-prod`
2×	`pow2` `sqrt-div` `pow-sqr` `unswap-sqr`
1×	`rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `pow3` `flip-+`

Counts

4 → 83

Calls

4 calls:

26.0ms	(* (* a a) a)
53.0ms	(* -12 (* a (* b b)))
11.0ms	(* a (* b b))
6.0ms	(sqrt (+ (* a a) (* b b)))

series215.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* (* a a) a)
60.0ms	(* -12 (* a (* b b)))
36.0ms	(* a (* b b))
66.0ms	(sqrt (+ (* a a) (* b b)))

simplify1.9s

Counts

95 → 95

Iterations

Iter	Nodes
3	3676
2	829
1	276
0	114

prune1.1s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes113.0ms

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
2	26
1	26
0	18

end0.0ms

sample4.8s

Algorithm

intervals

Results

4.4s

20616×

body

valid