Details

sample22.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
3.0ms	97×	body	80	nan

simplify2.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) y)
19.5b	(sqrt (+ (* x x) y))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 26

Calls

2 calls:

12.0ms	(+ (* x x) y)
20.0ms	(sqrt (+ (* x x) y))

series98.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ (* x x) y)
70.0ms	(sqrt (+ (* x x) y))

simplify68.0ms

Counts: 32 → 32

prune89.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (sqrt (+ (* x x) y)))
0.5b	(* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))
19.5b	(sqrt (+ (* x x) y))
19.5b	(sqrt (+ (* x x) y))

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

82×	`sqrt-prod`
54×	`add-sqr-sqrt`
38×	`sqrt-pow1`
32×	`sqrt-div`
31×	`pow1`
20×	`add-cube-cbrt` `*-un-lft-identity` `pow1/2`
15×	`swap-sqr`
9×	`flip3-+` `associate-r` `associate-l` `pow-prod-up` `flip-+` `unswap-sqr`
6×	`add-exp-log` `add-cbrt-cube`
5×	`pow-prod-down` `pow-sqr`
4×	`frac-times` `rem-sqrt-square` `add-log-exp`
2×	`associate-r/` `associate-l/`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 134

Calls

4 calls:

16.0ms	(sqrt (sqrt (+ (* x x) y)))
76.0ms	(* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))
19.0ms	(sqrt (+ (* x x) y))
25.0ms	(sqrt (+ (* x x) y))

series304.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(sqrt (sqrt (+ (* x x) y)))
74.0ms	(* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y))))
57.0ms	(sqrt (+ (* x x) y))
54.0ms	(sqrt (+ (* x x) y))

simplify111.0ms

Counts: 146 → 146

prune450.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (* 1/2 (/ y x)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 11

Calls

1 calls:

6.0ms

(+ x (* 1/2 (/ y x)))

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(+ x (* 1/2 (/ y x)))

simplify162.0ms

Counts: 14 → 14

prune54.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (* 1/2 (/ y x)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 11

Calls

1 calls:

6.0ms

(+ x (* 1/2 (/ y x)))

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

(+ x (* 1/2 (/ y x)))

simplify118.0ms

Counts: 14 → 14

prune22.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes235.0ms

Accuracy

99.5% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 21.8b

bsearch71.0ms

Steps

Iters	Range		Point
8	9.401576387905035e+110	1.1318381047663213e+114	6.747088751163898e+113
8	-5.269257834860084e+154	-9.942691415301177e+150	-1.3380693203107401e+154

simplify6.0ms

end0.0ms

sample829.0ms

Algorithm

intervals

Results

265.0ms	8000×	body	80	valid
153.0ms	2651×	body	80	nan