Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

323×

body

valid

simplify14.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	14	7
2	20	7
3	22	7
done	22	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.1b

localize5.0ms

Local error

Found 1 expressions with local error:

4.8b	(* x (+ 1.0 (* y y)))

rewrite22.0ms

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` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `add-log-exp` `unswap-sqr`

Counts

1 → 22

Calls

1 calls:

21.0ms

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

series72.0ms

Counts

1 → 3

Calls

1 calls:

72.0ms

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

simplify536.0ms

Counts

25 → 25

Iterations

Useful iterations: done (535.0ms)

Iter	Nodes	Cost
0	50	247
1	161	244
2	756	208
done	5000	206

prune54.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 4.9b

localize8.0ms

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))))
4.7b	(sqrt (+ 1.0 (* y y)))
4.7b	(sqrt (+ 1.0 (* y y)))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

18.0ms	(* x (sqrt (+ 1.0 (* y y))))
52.0ms	(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
5.0ms	(sqrt (+ 1.0 (* y y)))
5.0ms	(sqrt (+ 1.0 (* y y)))

series245.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(* x (sqrt (+ 1.0 (* y y))))
64.0ms	(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
47.0ms	(sqrt (+ 1.0 (* y y)))
49.0ms	(sqrt (+ 1.0 (* y y)))

simplify876.0ms

Counts

95 → 95

Iterations

Useful iterations: done (873.0ms)

Iter	Nodes	Cost
0	122	1468
1	320	1152
2	1654	1040
done	5001	1016

prune294.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 4.9b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))
4.7b	(sqrt (+ 1.0 (* y y)))
4.7b	(sqrt (+ 1.0 (* y y)))
4.7b	(sqrt (+ 1.0 (* y y)))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

68.0ms	(* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))
10.0ms	(sqrt (+ 1.0 (* y y)))
8.0ms	(sqrt (+ 1.0 (* y y)))
10.0ms	(sqrt (+ 1.0 (* y y)))

series246.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))
55.0ms	(sqrt (+ 1.0 (* y y)))
46.0ms	(sqrt (+ 1.0 (* y y)))
54.0ms	(sqrt (+ 1.0 (* y y)))

simplify834.0ms

Counts

89 → 89

Iterations

Useful iterations: done (829.0ms)

Iter	Nodes	Cost
0	120	1511
1	311	1169
2	1489	1027
done	5001	1015

prune355.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 4.9b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
4.7b	(sqrt (+ 1.0 (* y y)))
4.7b	(sqrt (+ 1.0 (* y y)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `cbrt-prod` `sqrt-prod`
4×	`add-exp-log` `sqrt-div` `add-cbrt-cube` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `pow1/3` `flip-+`

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
5.0ms	(sqrt (+ 1.0 (* y y)))
5.0ms	(sqrt (+ 1.0 (* y y)))

series624.0ms

Counts

4 → 12

Calls

4 calls:

246.0ms	(cbrt x)
252.0ms	(cbrt x)
63.0ms	(sqrt (+ 1.0 (* y y)))
63.0ms	(sqrt (+ 1.0 (* y y)))

simplify825.0ms

Counts

64 → 64

Iterations

Useful iterations: done (823.0ms)

Iter	Nodes	Cost
0	81	558
1	182	498
2	747	458
done	5001	448

prune268.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 4.9b

regimes131.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	8	7
done	8	7

end0.0ms

sample699.0ms

Algorithm

intervals

Results

339.0ms

10557×

body

valid