Details

sample114.0ms

Algorithm

intervals

Results

91.0ms

661×

body

valid

simplify1.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	2008
4	2008
3	672
2	166
1	54
0	18

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b	(* a (- 1 a))
0.1b	(* a (+ (* b b) (* a (- 1 a))))
0.2b	(* 12 (* b b))
0.3b	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
20×	`pow1`
16×	`*-un-lft-identity`
15×	`add-cbrt-cube` `add-exp-log`
13×	`associate-r` `add-cube-cbrt`
12×	`associate-l`
7×	`flip3-+` `flip-+`
6×	`pow-prod-down` `prod-exp` `associate-*r/` `cbrt-unprod`
4×	`distribute-rgt-in` `frac-times` `distribute-lft-in` `*-commutative` `insert-posit16` `add-log-exp` `unswap-sqr`
3×	`swap-sqr`
2×	`sub-neg` `associate-*l/` `difference-of-squares`
1×	`pow2` `pow-plus` `flip3--` `pow-sqr` `pow-prod-up` `flip--` `distribute-lft-out--`

Counts

4 → 107

Calls

4 calls:

20.0ms	(* a (- 1 a))
21.0ms	(* a (+ (* b b) (* a (- 1 a))))
28.0ms	(* 12 (* b b))
41.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))

series225.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* a (- 1 a))
72.0ms	(* a (+ (* b b) (* a (- 1 a))))
30.0ms	(* 12 (* b b))
60.0ms	(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))

simplify1.1s

Counts

119 → 119

Iterations

Iter	Nodes
done	2002
2	2002
1	599
0	180

prune1.4s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize48.0ms

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	(* 12 (* b b))
8.8b	(sqrt (+ (* a a) (* b b)))
8.8b	(sqrt (+ (* a a) (* b b)))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 113

Calls

4 calls:

94.0ms	(* (sqrt (+ (* a a) (* b b))) (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b))))
21.0ms	(* 12 (* b b))
10.0ms	(sqrt (+ (* a a) (* b b)))
7.0ms	(sqrt (+ (* a a) (* b b)))

series200.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* (sqrt (+ (* a a) (* b b))) (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b))))
48.0ms	(* 12 (* b b))
45.0ms	(sqrt (+ (* a a) (* b b)))
44.0ms	(sqrt (+ (* a a) (* b b)))

simplify1.2s

Counts

125 → 125

Iterations

Iter	Nodes
done	2000
2	2000
1	531
0	175

prune1.7s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(* a (- 1 a))
0.1b	(* a (+ (* b b) (* a (- 1 a))))
0.2b	(* 12 (* b b))
8.8b	(sqrt (+ (* a a) (* b b)))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
14×	`pow1`
13×	`*-un-lft-identity` `add-cbrt-cube` `add-exp-log`
10×	`associate-r` `add-cube-cbrt`
9×	`associate-l`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`associate-*r/` `insert-posit16` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `*-commutative` `sqrt-prod` `unswap-sqr`
2×	`sub-neg` `flip3-+` `sqrt-div` `flip-+` `difference-of-squares`
1×	`rem-sqrt-square` `sqrt-pow1` `flip3--` `pow1/2` `flip--` `distribute-lft-out--`

Counts

4 → 87

Calls

4 calls:

24.0ms	(* a (- 1 a))
20.0ms	(* a (+ (* b b) (* a (- 1 a))))
21.0ms	(* 12 (* b b))
20.0ms	(sqrt (+ (* a a) (* b b)))

series209.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* a (- 1 a))
68.0ms	(* a (+ (* b b) (* a (- 1 a))))
36.0ms	(* 12 (* b b))
51.0ms	(sqrt (+ (* a a) (* b b)))

simplify1.4s

Counts

99 → 99

Iterations

Iter	Nodes
done	2002
3	2002
2	1402
1	418
0	150

prune1.2s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize91.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* b b) (* b b))
0.2b	(* 12 (* b b))
0.9b	(* (* b b) (- (* b b) (* a a)))
43.9b	(/ (* (+ (* a a) (* b b)) (+ (* (* (* a a) (* a a)) (* a a)) (* (* (* b b) (* b b)) (* b b)))) (+ (* (* b b) (- (* b b) (* a a))) (* (* a a) (* a a))))

rewrite466.0ms

Algorithm

rewrite-expression-head

Rules

125×	`pow1`
36×	`pow-prod-up`
31×	`add-cbrt-cube` `add-exp-log`
29×	`pow-prod-down`
22×	`pow-sqr`
18×	`pow-plus`
15×	`prod-exp` `cbrt-unprod`
13×	`pow2`
10×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt` `associate-/l/`
7×	`flip3-+` `flip-+`
6×	`associate-r`
5×	`associate-l`
4×	`frac-times` `associate-*r/` `insert-posit16` `add-log-exp`
3×	`associate-/r` `times-frac` `-commutative` `unswap-sqr`
2×	`distribute-rgt-in` `cbrt-undiv` `sub-neg` `distribute-lft-in` `div-exp` `associate-*l/` `associate-/r/`
1×	`clear-num` `frac-2neg` `flip3--` `swap-sqr` `div-inv` `flip--` `associate-/l*` `difference-of-squares`

Counts

4 → 143

Calls

4 calls:

47.0ms	(* (* b b) (* b b))
27.0ms	(* 12 (* b b))
64.0ms	(* (* b b) (- (* b b) (* a a)))
322.0ms	(/ (* (+ (* a a) (* b b)) (+ (* (* (* a a) (* a a)) (* a a)) (* (* (* b b) (* b b)) (* b b)))) (+ (* (* b b) (- (* b b) (* a a))) (* (* a a) (* a a))))

series295.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (* b b) (* b b))
38.0ms	(* 12 (* b b))
56.0ms	(* (* b b) (- (* b b) (* a a)))
160.0ms	(/ (* (+ (* a a) (* b b)) (+ (* (* (* a a) (* a a)) (* a a)) (* (* (* b b) (* b b)) (* b b)))) (+ (* (* b b) (- (* b b) (* a a))) (* (* a a) (* a a))))

simplify1.2s

Counts

155 → 155

Iterations

Iter	Nodes
done	2004
2	2004
1	686
0	195

prune2.1s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes108.0ms

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	28
1	28
0	19

end0.0ms

sample4.3s

Algorithm

intervals

Results

3.9s

20442×

body

valid