Details

sample147.0ms

Algorithm

intervals

Results

119.0ms

631×

body

valid

simplify1.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
3	1256
2	196
1	56
0	19

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize60.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* a a) a)
0.2b	(* -3 (* b b))
0.3b	(* (+ (* b b) (* a a)) (+ (* b b) (* a a)))
0.6b	(* a (* -3 (* b b)))

rewrite102.0ms

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:

14.0ms	(* (* a a) a)
14.0ms	(* -3 (* b b))
33.0ms	(* (+ (* b b) (* a a)) (+ (* b b) (* a a)))
39.0ms	(* a (* -3 (* b b)))

series200.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (* a a) a)
50.0ms	(* -3 (* b b))
55.0ms	(* (+ (* b b) (* a a)) (+ (* b b) (* a a)))
48.0ms	(* a (* -3 (* b b)))

simplify3.6s

Counts

119 → 119

Iterations

Iter	Nodes
done	5001
2	4852
1	509
0	148

prune481.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize51.0ms

Local error

Found 4 expressions with local error:

0.2b	(* -3 (* b b))
0.6b	(* a (* -3 (* b b)))
8.5b	(sqrt (+ (* b b) (* a a)))
8.5b	(sqrt (+ (* b b) (* a a)))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1`
18×	`add-cbrt-cube` `add-exp-log`
11×	`add-sqr-sqrt`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-l` `sqrt-prod`
4×	`sqrt-div` `insert-posit16` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `associate-r` `*-commutative` `flip-+`
1×	`unswap-sqr`

Counts

4 → 74

Calls

4 calls:

26.0ms	(* -3 (* b b))
69.0ms	(* a (* -3 (* b b)))
7.0ms	(sqrt (+ (* b b) (* a a)))
6.0ms	(sqrt (+ (* b b) (* a a)))

series284.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* -3 (* b b))
56.0ms	(* a (* -3 (* b b)))
82.0ms	(sqrt (+ (* b b) (* a a)))
85.0ms	(sqrt (+ (* b b) (* a a)))

simplify1.3s

Counts

86 → 86

Iterations

Iter	Nodes
done	5000
2	1225
1	251
0	94

prune561.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize70.0ms

Local error

Found 4 expressions with local error:

0.6b	(* a (* -3 (* b b)))
8.5b	(sqrt (+ (* b b) (* a a)))
8.5b	(sqrt (+ (* b b) (* a a)))
8.5b	(sqrt (+ (* b b) (* a a)))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1`
13×	`add-cbrt-cube` `add-exp-log`
11×	`add-sqr-sqrt`
9×	`sqrt-prod`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`sqrt-div` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`insert-posit16` `add-log-exp`
3×	`rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `associate-l` `flip-+`
1×	`associate-r` `*-commutative`

Counts

4 → 70

Calls

4 calls:

41.0ms	(* a (* -3 (* b b)))
6.0ms	(sqrt (+ (* b b) (* a a)))
11.0ms	(sqrt (+ (* b b) (* a a)))
13.0ms	(sqrt (+ (* b b) (* a a)))

series244.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* a (* -3 (* b b)))
75.0ms	(sqrt (+ (* b b) (* a a)))
52.0ms	(sqrt (+ (* b b) (* a a)))
65.0ms	(sqrt (+ (* b b) (* a a)))

simplify1.0s

Counts

82 → 82

Iterations

Iter	Nodes
done	5000
2	1133
1	228
0	82

prune688.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize94.0ms

Local error

Found 4 expressions with local error:

8.5b	(sqrt (+ (* b b) (* a a)))
9.1b	(cbrt (+ (* b b) (* a a)))
9.1b	(cbrt (+ (* b b) (* a a)))
9.1b	(cbrt (+ (* b b) (* a a)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

6.0ms	(sqrt (+ (* b b) (* a a)))
8.0ms	(cbrt (+ (* b b) (* a a)))
4.0ms	(cbrt (+ (* b b) (* a a)))
4.0ms	(cbrt (+ (* b b) (* a a)))

series533.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(sqrt (+ (* b b) (* a a)))
175.0ms	(cbrt (+ (* b b) (* a a)))
174.0ms	(cbrt (+ (* b b) (* a a)))
113.0ms	(cbrt (+ (* b b) (* a a)))

simplify2.4s

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
3	3208
2	550
1	152
0	67

prune728.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes313.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	32
1	32
0	20

end0.0ms

sample6.0s

Algorithm

intervals

Results

5.5s

20836×

body

valid