Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

344×

body

valid

simplify7.0ms

Counts

1 → 1

Iterations

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.6b

localize7.0ms

Local error

Found 1 expressions with local error:

4.3b	(* (+ 1.0 (* y y)) x)

rewrite13.0ms

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-*l/`
1×	`flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `add-log-exp` `unswap-sqr`

Counts

1 → 20

Calls

1 calls:

12.0ms

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

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

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

simplify332.0ms

Counts

23 → 23

Iterations

Iter	Nodes
done	5000
2	704
1	127
0	47

prune127.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 4.4b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sqrt (+ 1.0 (pow y 2))) x)
0.1b	(* (sqrt (+ 1.0 (* y y))) (* (sqrt (+ 1.0 (pow y 2))) x))
4.3b	(sqrt (+ 1.0 (pow y 2)))
4.3b	(sqrt (+ 1.0 (* y y)))

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

41.0ms	(* (sqrt (+ 1.0 (pow y 2))) x)
63.0ms	(* (sqrt (+ 1.0 (* y y))) (* (sqrt (+ 1.0 (pow y 2))) x))
15.0ms	(sqrt (+ 1.0 (pow y 2)))
8.0ms	(sqrt (+ 1.0 (* y y)))

series289.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(* (sqrt (+ 1.0 (pow y 2))) x)
56.0ms	(* (sqrt (+ 1.0 (* y y))) (* (sqrt (+ 1.0 (pow y 2))) x))
53.0ms	(sqrt (+ 1.0 (pow y 2)))
62.0ms	(sqrt (+ 1.0 (* y y)))

simplify580.0ms

Counts

97 → 97

Iterations

Iter	Nodes
done	5000
2	1399
1	372
0	152

prune455.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 4.4b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (sqrt (sqrt (+ 1.0 (* y y)))) (* (sqrt (+ 1.0 (* y y))) x))
4.3b	(sqrt (+ 1.0 (* y y)))
4.3b	(sqrt (+ 1.0 (* y y)))
4.3b	(sqrt (+ 1.0 (* y y)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

36.0ms	(* (sqrt (sqrt (+ 1.0 (* y y)))) (* (sqrt (+ 1.0 (* y y))) x))
8.0ms	(sqrt (+ 1.0 (* y y)))
4.0ms	(sqrt (+ 1.0 (* y y)))
4.0ms	(sqrt (+ 1.0 (* y y)))

series530.0ms

Counts

4 → 12

Calls

4 calls:

366.0ms	(* (sqrt (sqrt (+ 1.0 (* y y)))) (* (sqrt (+ 1.0 (* y y))) x))
58.0ms	(sqrt (+ 1.0 (* y y)))
53.0ms	(sqrt (+ 1.0 (* y y)))
51.0ms	(sqrt (+ 1.0 (* y y)))

simplify792.0ms

Counts

89 → 89

Iterations

Iter	Nodes
done	5000
2	1452
1	362
0	142

prune618.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 4.4b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (sqrt (+ 1.0 (* y y))) x) (sqrt (sqrt (+ 1.0 (* y y)))))
4.3b	(sqrt (+ 1.0 (* y y)))
4.3b	(sqrt (+ 1.0 (* y y)))
4.3b	(sqrt (+ 1.0 (* y y)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

40.0ms	(* (* (sqrt (+ 1.0 (* y y))) x) (sqrt (sqrt (+ 1.0 (* y y)))))
4.0ms	(sqrt (+ 1.0 (* y y)))
4.0ms	(sqrt (+ 1.0 (* y y)))
4.0ms	(sqrt (+ 1.0 (* y y)))

series557.0ms

Counts

4 → 12

Calls

4 calls:

367.0ms	(* (* (sqrt (+ 1.0 (* y y))) x) (sqrt (sqrt (+ 1.0 (* y y)))))
68.0ms	(sqrt (+ 1.0 (* y y)))
62.0ms	(sqrt (+ 1.0 (* y y)))
60.0ms	(sqrt (+ 1.0 (* y y)))

simplify850.0ms

Counts

89 → 89

Iterations

Iter	Nodes
done	5000
2	1964
1	377
0	147

prune515.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 4.4b

regimes204.0ms

Accuracy

0% (0.1b remaining)

Error of 5.3b against oracle of 5.2b and baseline of 5.3b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	8
1	8
0	6

end0.0ms

sample617.0ms

Algorithm

intervals

Results

362.0ms

10708×

body

valid