Details

sample52.0ms

Algorithm

intervals

Results

23.0ms

330×

body

valid

simplify42.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	20
2	20
1	14
0	6

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.9b

localize40.0ms

Local error

Found 1 expressions with local error:

6.4b	(* x (+ 1.0 (* y y)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `-un-lft-identity` `add-cbrt-cube` `associate-r` `associate-l*` `add-exp-log` `add-cube-cbrt`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `insert-posit16` `add-log-exp` `unswap-sqr`

Counts

1 → 23

Calls

1 calls:

37.0ms

(* x (+ 1.0 (* y y)))

series95.0ms

Counts

1 → 3

Calls

1 calls:

95.0ms

(* x (+ 1.0 (* y y)))

simplify5.9s

Counts

26 → 26

Iterations

Iter	Nodes
done	5010
3	3117
2	579
1	153
0	51

prune287.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 6.6b

localize80.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (sqrt (+ 1.0 (* y y))))
0.1b	(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
6.4b	(sqrt (+ 1.0 (* y y)))
6.4b	(sqrt (+ 1.0 (* y y)))

rewrite243.0ms

Algorithm

rewrite-expression-head

Rules

18×	`sqrt-div`
17×	`add-sqr-sqrt`
13×	`pow1` `sqrt-prod`
12×	`associate-r`
11×	`*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
10×	`associate-*r/`
9×	`flip3-+` `flip-+`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 87

Calls

4 calls:

59.0ms	(* x (sqrt (+ 1.0 (* y y))))
144.0ms	(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
17.0ms	(sqrt (+ 1.0 (* y y)))
17.0ms	(sqrt (+ 1.0 (* y y)))

series351.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(* x (sqrt (+ 1.0 (* y y))))
93.0ms	(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
55.0ms	(sqrt (+ 1.0 (* y y)))
74.0ms	(sqrt (+ 1.0 (* y y)))

simplify6.7s

Counts

99 → 99

Iterations

Iter	Nodes
done	5055
3	3600
2	955
1	312
0	125

prune911.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 6.6b

localize44.0ms

Local error

Found 1 expressions with local error:

6.4b	(* x (+ (* y y) 1.0))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `-un-lft-identity` `add-cbrt-cube` `associate-r` `associate-l*` `add-exp-log` `add-cube-cbrt`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `insert-posit16` `add-log-exp` `unswap-sqr`

Counts

1 → 23

Calls

1 calls:

70.0ms

(* x (+ (* y y) 1.0))

series82.0ms

Counts

1 → 3

Calls

1 calls:

82.0ms

(* x (+ (* y y) 1.0))

simplify6.3s

Counts

26 → 26

Iterations

Iter	Nodes
done	5039
3	3161
2	587
1	154
0	51

prune271.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 6.6b

localize164.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* y y) (* y y))
3.1b	(* x (+ (* (* (* y y) (* y y)) (* y y)) (* 1.0 (* 1.0 1.0))))
5.4b	(+ (* (* y y) (* y y)) (- (* 1.0 1.0) (* (* y y) 1.0)))
14.2b	(/ (* x (+ (* (* (* y y) (* y y)) (* y y)) (* 1.0 (* 1.0 1.0)))) (+ (* (* y y) (* y y)) (- (* 1.0 1.0) (* (* y y) 1.0))))

rewrite2.1s

Algorithm

rewrite-expression-head

Rules

117×	`pow1`
36×	`pow-prod-up`
24×	`pow-prod-down`
23×	`add-cbrt-cube` `add-exp-log`
22×	`pow-sqr`
18×	`pow-plus`
13×	`pow2`
10×	`add-sqr-sqrt` `prod-exp` `cbrt-unprod`
9×	`add-log-exp`
8×	`*-un-lft-identity` `add-cube-cbrt`
5×	`associate-r`
4×	`flip3-+` `associate-l` `associate-*r/` `flip-+` `insert-posit16`
3×	`associate-/r*` `times-frac`
2×	`cbrt-undiv` `associate-+r+` `sum-log` `div-exp` `associate-/r/` `*-commutative` `unswap-sqr` `associate-/l/`
1×	`distribute-rgt-in` `+-commutative` `clear-num` `associate-+r-` `sub-neg` `frac-2neg` `distribute-lft-in` `diff-log` `cube-unmult` `swap-sqr` `pow3` `sum-cubes` `div-inv` `associate-/l*`

Counts

4 → 130

Calls

4 calls:

74.0ms	(* (* y y) (* y y))
1.2s	(* x (+ (* (* (* y y) (* y y)) (* y y)) (* 1.0 (* 1.0 1.0))))
126.0ms	(+ (* (* y y) (* y y)) (- (* 1.0 1.0) (* (* y y) 1.0)))
627.0ms	(/ (* x (+ (* (* (* y y) (* y y)) (* y y)) (* 1.0 (* 1.0 1.0)))) (+ (* (* y y) (* y y)) (- (* 1.0 1.0) (* (* y y) 1.0))))

series1.0s

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (* y y) (* y y))
357.0ms	(* x (+ (* (* (* y y) (* y y)) (* y y)) (* 1.0 (* 1.0 1.0))))
82.0ms	(+ (* (* y y) (* y y)) (- (* 1.0 1.0) (* (* y y) 1.0)))
562.0ms	(/ (* x (+ (* (* (* y y) (* y y)) (* y y)) (* 1.0 (* 1.0 1.0)))) (+ (* (* y y) (* y y)) (- (* 1.0 1.0) (* (* y y) 1.0))))

simplify4.6s

Counts

142 → 142

Iterations

Iter	Nodes
done	5001
2	2122
1	520
0	165

prune1.1s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 6.6b

regimes661.0ms

Accuracy

0% (0.2b remaining)

Error of 5.8b against oracle of 5.6b and baseline of 5.8b

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample1.0s

Algorithm

intervals

Results

635.0ms

10772×

body

valid