Details

sample84.0ms

Algorithm

intervals

Results

63.0ms

621×

body

valid

simplify2.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
4	3576
3	748
2	187
1	56
0	19

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize45.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* a a) a)
0.1b	(* -3 (* a (* b b)))
0.3b	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))
0.6b	(* a (* b b))

rewrite189.0ms

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` `insert-posit16` `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 → 107

Calls

4 calls:

30.0ms	(* (* a a) a)
67.0ms	(* -3 (* a (* b b)))
74.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))
15.0ms	(* a (* b b))

series182.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* (* a a) a)
38.0ms	(* -3 (* a (* b b)))
45.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))
37.0ms	(* a (* b b))

simplify2.0s

Counts

119 → 119

Iterations

Iter	Nodes
done	5001
2	2366
1	489
0	147

prune557.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize74.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b)))
0.6b	(* a (* b b))
9.1b	(sqrt (+ (* a a) (* b b)))
9.1b	(sqrt (+ (* a a) (* b b)))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

41.0ms	(* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b)))
26.0ms	(* a (* b b))
13.0ms	(sqrt (+ (* a a) (* b b)))
14.0ms	(sqrt (+ (* a a) (* b b)))

series256.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b)))
34.0ms	(* a (* b b))
54.0ms	(sqrt (+ (* a a) (* b b)))
57.0ms	(sqrt (+ (* a a) (* b b)))

simplify1.4s

Counts

102 → 102

Iterations

Iter	Nodes
done	5002
2	1308
1	364
0	117

prune717.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt (+ (* a a) (* b b))) (pow (sqrt (+ (* a a) (* b b))) 3))
0.6b	(* a (* b b))
9.1b	(sqrt (+ (* a a) (* b b)))
9.1b	(sqrt (+ (* a a) (* b b)))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
25×	`sqrt-prod`
19×	`associate-r`
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`
9×	`associate-l`
8×	`flip3-+` `flip-+`
6×	`cube-div` `prod-exp`
4×	`frac-times` `cbrt-unprod` `insert-posit16` `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` `unpow3` `pow-exp` `pow-prod-up`

Counts

4 → 110

Calls

4 calls:

91.0ms	(* (sqrt (+ (* a a) (* b b))) (pow (sqrt (+ (* a a) (* b b))) 3))
28.0ms	(* a (* b b))
6.0ms	(sqrt (+ (* a a) (* b b)))
7.0ms	(sqrt (+ (* a a) (* b b)))

series272.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(* (sqrt (+ (* a a) (* b b))) (pow (sqrt (+ (* a a) (* b b))) 3))
44.0ms	(* a (* b b))
91.0ms	(sqrt (+ (* a a) (* b b)))
59.0ms	(sqrt (+ (* a a) (* b b)))

simplify1.6s

Counts

122 → 122

Iterations

Iter	Nodes
done	5002
2	1176
1	367
0	138

prune725.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* a a) a)
0.1b	(* -3 (* a (* b b)))
0.6b	(* a (* b b))
9.1b	(sqrt (+ (* a a) (* b b)))

rewrite100.0ms

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×	`insert-posit16` `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 → 87

Calls

4 calls:

21.0ms	(* (* a a) a)
38.0ms	(* -3 (* a (* b b)))
26.0ms	(* a (* b b))
13.0ms	(sqrt (+ (* a a) (* b b)))

series228.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(* (* a a) a)
55.0ms	(* -3 (* a (* b b)))
47.0ms	(* a (* b b))
51.0ms	(sqrt (+ (* a a) (* b b)))

simplify1.2s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
2	929
1	295
0	118

prune545.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

regimes177.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	33
1	33
0	22

end0.0ms

sample4.1s

Algorithm

intervals

Results

3.7s

20480×

body

valid