Details

sample23.0ms

Algorithm

intervals

Results

14.0ms

330×

body

valid

simplify11.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	22
3	22
2	20
1	14
0	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.4b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite16.0ms

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:

16.0ms

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

series75.0ms

Counts

1 → 3

Calls

1 calls:

75.0ms

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

simplify734.0ms

Counts

26 → 26

Iterations

Iter	Nodes
done	5000
2	771
1	162
0	51

prune75.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 6.3b

localize14.0ms

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)))

rewrite56.0ms

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:

16.0ms	(* x (sqrt (+ 1.0 (* y y))))
33.0ms	(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
3.0ms	(sqrt (+ 1.0 (* y y)))
3.0ms	(sqrt (+ 1.0 (* y y)))

series253.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(* x (sqrt (+ 1.0 (* y y))))
52.0ms	(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
53.0ms	(sqrt (+ 1.0 (* y y)))
60.0ms	(sqrt (+ 1.0 (* y y)))

simplify1.1s

Counts

99 → 99

Iterations

Iter	Nodes
done	5001
2	1673
1	323
0	125

prune355.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 6.3b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite29.0ms

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:

29.0ms

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

series52.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

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

simplify755.0ms

Counts

26 → 26

Iterations

Iter	Nodes
done	5000
2	744
1	162
0	51

prune89.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 6.3b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite421.0ms

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:

23.0ms	(* (* y y) (* y y))
246.0ms	(* x (+ (* (* 1.0 1.0) 1.0) (* (* y y) (* (* y y) (* y y)))))
39.0ms	(+ (* (* y y) (* y y)) (- (* 1.0 1.0) (* (* y y) 1.0)))
110.0ms	(/ (* x (+ (* (* 1.0 1.0) 1.0) (* (* y y) (* (* y y) (* y y))))) (+ (* (* y y) (* y y)) (- (* 1.0 1.0) (* (* y y) 1.0))))

series620.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (* y y) (* y y))
244.0ms	(* x (+ (* (* 1.0 1.0) 1.0) (* (* y y) (* (* y y) (* y y)))))
58.0ms	(+ (* (* y y) (* y y)) (- (* 1.0 1.0) (* (* y y) 1.0)))
272.0ms	(/ (* x (+ (* (* 1.0 1.0) 1.0) (* (* y y) (* (* y y) (* y y))))) (+ (* (* y y) (* y y)) (- (* 1.0 1.0) (* (* y y) 1.0))))

simplify2.4s

Counts

142 → 142

Iterations

Iter	Nodes
done	5000
2	4008
1	569
0	170

prune402.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 6.3b

regimes117.0ms

Accuracy

0% (0.1b remaining)

Error of 5.4b against oracle of 5.3b and baseline of 5.4b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample804.0ms

Algorithm

intervals

Results

604.0ms

10772×

body

valid