Details

sample19.0ms

Algorithm

intervals

Results

7.0ms

343×

body

valid

simplify11.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	6	7
1	14	7
2	23	6
3	27	6
done	27	6

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.1b

localize6.0ms

Local error

Found 1 expressions with local error:

6.6b	(* x (+ 1.0 (* y y)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
2×	`associate-*r/`
1×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

22.0ms

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

series58.0ms

Counts

1 → 3

Calls

1 calls:

58.0ms

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

simplify1.7s

Counts

27 → 27

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	52	263
1	147	256
2	478	199
3	1717	199
done	5000	199

prune81.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 6.9b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sqrt (fma y y 1.0)) x)
0.1b	(* (* (sqrt (fma y y 1.0)) x) (sqrt (+ 1.0 (* y y))))
6.6b	(sqrt (+ 1.0 (* y y)))
6.6b	(sqrt (fma y y 1.0))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
13×	`pow1` `sqrt-prod`
11×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`associate-r`
7×	`associate-l`
4×	`expm1-log1p-u` `sqrt-div` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `associate-r/` `-commutative` `flip-+` `unswap-sqr`
1×	`hypot-def`

Counts

4 → 82

Calls

4 calls:

14.0ms	(* (sqrt (fma y y 1.0)) x)
48.0ms	(* (* (sqrt (fma y y 1.0)) x) (sqrt (+ 1.0 (* y y))))
8.0ms	(sqrt (+ 1.0 (* y y)))
6.0ms	(sqrt (fma y y 1.0))

series411.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(* (sqrt (fma y y 1.0)) x)
147.0ms	(* (* (sqrt (fma y y 1.0)) x) (sqrt (+ 1.0 (* y y))))
62.0ms	(sqrt (+ 1.0 (* y y)))
71.0ms	(sqrt (fma y y 1.0))

simplify2.2s

Counts

94 → 94

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	140	1186
1	323	1015
2	990	819
3	2984	813
done	5000	812

prune273.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 6.9b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x (sqrt 1.0) (* 1.0 (/ (* x (pow y 2)) (sqrt 1.0))))
10.5b	(* x (pow y 2))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
8×	`associate-r`
7×	`add-exp-log`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `add-cbrt-cube` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `unpow2` `add-log-exp` `sqr-pow`
1×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

2 → 39

Calls

2 calls:

0.0ms	(fma x (sqrt 1.0) (* 1.0 (/ (* x (pow y 2)) (sqrt 1.0))))
22.0ms	(* x (pow y 2))

series282.0ms

Counts

2 → 6

Calls

2 calls:

242.0ms	(fma x (sqrt 1.0) (* 1.0 (/ (* x (pow y 2)) (sqrt 1.0))))
40.0ms	(* x (pow y 2))

simplify1.4s

Counts

45 → 45

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	69	462
1	133	437
2	302	376
3	956	376
done	5000	373

prune140.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x (sqrt 1.0) (* 1.0 (/ (* (* y x) y) (sqrt 1.0))))
0.2b	(* (* y x) y)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`associate-l` `*-commutative` `fma-udef`

Counts

2 → 30

Calls

2 calls:

1.0ms	(fma x (sqrt 1.0) (* 1.0 (/ (* (* y x) y) (sqrt 1.0))))
33.0ms	(* (* y x) y)

series283.0ms

Counts

2 → 6

Calls

2 calls:

252.0ms	(fma x (sqrt 1.0) (* 1.0 (/ (* (* y x) y) (sqrt 1.0))))
31.0ms	(* (* y x) y)

simplify3.0s

Counts

36 → 36

Iterations

Useful iterations: 4 (1.5s)

Iter	Nodes	Cost
0	57	387
1	127	380
2	402	322
3	1028	322
4	2678	321
done	5002	321

prune103.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes77.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	12	14
done	12	14

end0.0ms

sample917.0ms

Algorithm

intervals

Results

571.0ms

10673×

body

valid