Details

sample720.0ms

Algorithm

intervals

Results

394.0ms	526×	body	80	nan
195.0ms	298×	body	80	valid

simplify1.5s

Counts: 1 → 1

prune36.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 28.2b

localize48.0ms

Local error

Found 4 expressions with local error:

21.9b	(sqrt (* (* U 2) (* n (- t (fma (/ l Om) (* 2 l) (* (* n (* (/ l Om) (/ l Om))) (- U U*)))))))
8.6b	(* (* n (* (/ l Om) (/ l Om))) (- U U*))
7.1b	(* n (* (/ l Om) (/ l Om)))
4.4b	(* (* U 2) (* n (- t (fma (/ l Om) (* 2 l) (* (* n (* (/ l Om) (/ l Om))) (- U U*))))))

rewrite284.0ms

Algorithm

rewrite-expression-head

Rules

59×	`add-cbrt-cube` `add-exp-log`
55×	`distribute-rgt-in` `distribute-lft-in`
54×	`prod-diff`
45×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
43×	`pow1`
42×	`add-cube-cbrt`
32×	`prod-exp` `cbrt-unprod`
26×	`associate-*r/`
25×	`pow-prod-down`
10×	`frac-times`
8×	`cbrt-undiv` `div-exp`
7×	`associate-r` `associate-*l/`
6×	`sub-neg` `flip3--` `flip--`
5×	`sqrt-pow1` `associate-l`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`sqrt-div`
1×	`pow1/2` `sqrt-prod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 186

Calls

4 calls:

Slowest

132.0ms	(* (* n (* (/ l Om) (/ l Om))) (- U U*))
54.0ms	(sqrt (* (* U 2) (* n (- t (fma (/ l Om) (* 2 l) (* (* n (* (/ l Om) (/ l Om))) (- U U*)))))))
50.0ms	(* (* U 2) (* n (- t (fma (/ l Om) (* 2 l) (* (* n (* (/ l Om) (/ l Om))) (- U U*))))))
39.0ms	(* n (* (/ l Om) (/ l Om)))

series2.8s

Counts

4 → 12

Calls

4 calls:

Slowest

2.1s	(sqrt (* (* U 2) (* n (- t (fma (/ l Om) (* 2 l) (* (* n (* (/ l Om) (/ l Om))) (- U U*)))))))
492.0ms	(* (* U 2) (* n (- t (fma (/ l Om) (* 2 l) (* (* n (* (/ l Om) (/ l Om))) (- U U*))))))
180.0ms	(* (* n (* (/ l Om) (/ l Om))) (- U U*))
71.0ms	(* n (* (/ l Om) (/ l Om)))

simplify1.9s

Counts: 198 → 198

prune3.6s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 21.0b

localize38.0ms

Local error

Found 4 expressions with local error:

21.9b	(sqrt (* (* U 2) (* n (- t (fma (/ l Om) (* 2 l) (* (* (* n (/ l Om)) (/ l Om)) (- U U*)))))))
8.6b	(* (* (* n (/ l Om)) (/ l Om)) (- U U*))
4.4b	(* (* U 2) (* n (- t (fma (/ l Om) (* 2 l) (* (* (* n (/ l Om)) (/ l Om)) (- U U*))))))
3.5b	(* n (- t (fma (/ l Om) (* 2 l) (* (* (* n (/ l Om)) (/ l Om)) (- U U*)))))

rewrite229.0ms

Algorithm

rewrite-expression-head

Rules

72×	`prod-diff`
66×	`distribute-rgt-in` `distribute-lft-in`
61×	`add-sqr-sqrt`
59×	`*-un-lft-identity`
55×	`add-cube-cbrt`
47×	`add-cbrt-cube` `add-exp-log`
40×	`pow1`
26×	`prod-exp` `cbrt-unprod`
23×	`pow-prod-down`
21×	`associate-*r/`
11×	`associate-r`
9×	`frac-times`
8×	`sub-neg`
7×	`flip3--` `flip--`
6×	`associate-*l/`
5×	`cbrt-undiv` `sqrt-pow1` `div-exp` `associate-l`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`sqrt-div` `distribute-lft-out--` `difference-of-squares`
1×	`pow1/2` `sqrt-prod` `unswap-sqr`

Counts

4 → 204

Calls

4 calls:

Slowest

119.0ms	(* (* (* n (/ l Om)) (/ l Om)) (- U U*))
54.0ms	(sqrt (* (* U 2) (* n (- t (fma (/ l Om) (* 2 l) (* (* (* n (/ l Om)) (/ l Om)) (- U U*)))))))
36.0ms	(* (* U 2) (* n (- t (fma (/ l Om) (* 2 l) (* (* (* n (/ l Om)) (/ l Om)) (- U U*))))))
16.0ms	(* n (- t (fma (/ l Om) (* 2 l) (* (* (* n (/ l Om)) (/ l Om)) (- U U*)))))

series2.8s

Counts

4 → 12

Calls

4 calls:

Slowest

1.8s	(sqrt (* (* U 2) (* n (- t (fma (/ l Om) (* 2 l) (* (* (* n (/ l Om)) (/ l Om)) (- U U*)))))))
407.0ms	(* (* U 2) (* n (- t (fma (/ l Om) (* 2 l) (* (* (* n (/ l Om)) (/ l Om)) (- U U*))))))
367.0ms	(* n (- t (fma (/ l Om) (* 2 l) (* (* (* n (/ l Om)) (/ l Om)) (- U U*)))))
159.0ms	(* (* (* n (/ l Om)) (/ l Om)) (- U U*))

simplify2.0s

Counts: 216 → 216

prune3.4s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 20.6b

localize38.0ms

Local error

Found 4 expressions with local error:

21.9b	(sqrt (* (* U 2) (* n (- t (fma (/ l Om) (* 2 l) (* (* n (/ l Om)) (* (/ l Om) (- U U*))))))))
4.4b	(* (* U 2) (* n (- t (fma (/ l Om) (* 2 l) (* (* n (/ l Om)) (* (/ l Om) (- U U*)))))))
4.2b	(* (/ l Om) (- U U*))
3.5b	(* n (- t (fma (/ l Om) (* 2 l) (* (* n (/ l Om)) (* (/ l Om) (- U U*))))))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-sqr-sqrt`
72×	`prod-diff`
66×	`distribute-rgt-in` `*-un-lft-identity` `distribute-lft-in`
62×	`add-cube-cbrt`
33×	`pow1`
23×	`add-cbrt-cube` `add-exp-log`
18×	`pow-prod-down`
17×	`associate-l`
12×	`associate-*r/`
11×	`associate-r` `prod-exp` `cbrt-unprod`
10×	`times-frac`
8×	`sub-neg`
5×	`sqrt-pow1` `flip3--` `flip--`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative` `unswap-sqr`
2×	`frac-times` `sqrt-div` `distribute-lft-out--` `difference-of-squares`
1×	`cbrt-undiv` `pow1/2` `div-exp` `associate-*l/` `sqrt-prod` `div-inv`

Counts

4 → 200

Calls

4 calls:

Slowest

45.0ms	(sqrt (* (* U 2) (* n (- t (fma (/ l Om) (* 2 l) (* (* n (/ l Om)) (* (/ l Om) (- U U*))))))))
37.0ms	(* (* U 2) (* n (- t (fma (/ l Om) (* 2 l) (* (* n (/ l Om)) (* (/ l Om) (- U U*)))))))
21.0ms	(* (/ l Om) (- U U*))
16.0ms	(* n (- t (fma (/ l Om) (* 2 l) (* (* n (/ l Om)) (* (/ l Om) (- U U*))))))

series2.6s

Counts

4 → 12

Calls

4 calls:

Slowest

1.8s	(sqrt (* (* U 2) (* n (- t (fma (/ l Om) (* 2 l) (* (* n (/ l Om)) (* (/ l Om) (- U U*))))))))
432.0ms	(* (* U 2) (* n (- t (fma (/ l Om) (* 2 l) (* (* n (/ l Om)) (* (/ l Om) (- U U*)))))))
301.0ms	(* n (- t (fma (/ l Om) (* 2 l) (* (* n (/ l Om)) (* (/ l Om) (- U U*))))))
76.0ms	(* (/ l Om) (- U U*))

simplify1.4s

Counts: 212 → 212

prune2.6s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 20.4b

localize50.0ms

Local error

Found 4 expressions with local error:

21.9b	(sqrt (* (* U 2) (* n (- t (fma (/ l Om) (* 2 l) (* (* (* n (/ l Om)) (/ l Om)) (- U U*)))))))
21.9b	(sqrt (* (* U 2) (* n (- t (fma (/ l Om) (* 2 l) (* (* (* n (/ l Om)) (/ l Om)) (- U U*)))))))
8.6b	(* (* (* n (/ l Om)) (/ l Om)) (- U U*))
8.6b	(* (* (* n (/ l Om)) (/ l Om)) (- U U*))

rewrite226.0ms

Algorithm

rewrite-expression-head

Rules

62×	`add-cbrt-cube` `add-exp-log`
48×	`pow1`
36×	`prod-diff`
34×	`add-sqr-sqrt` `*-un-lft-identity` `prod-exp` `cbrt-unprod`
30×	`associate-*r/` `add-cube-cbrt`
28×	`pow-prod-down`
22×	`distribute-rgt-in` `distribute-lft-in`
18×	`frac-times`
12×	`associate-*l/`
10×	`cbrt-undiv` `sqrt-pow1` `flip3--` `div-exp` `associate-r` `flip--`
4×	`expm1-log1p-u` `sub-neg` `sqrt-div` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow1/2` `associate-l` `*-commutative` `sqrt-prod` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 172

Calls

4 calls:

Slowest

81.0ms	(* (* (* n (/ l Om)) (/ l Om)) (- U U*))
77.0ms	(* (* (* n (/ l Om)) (/ l Om)) (- U U*))
34.0ms	(sqrt (* (* U 2) (* n (- t (fma (/ l Om) (* 2 l) (* (* (* n (/ l Om)) (/ l Om)) (- U U*)))))))
31.0ms	(sqrt (* (* U 2) (* n (- t (fma (/ l Om) (* 2 l) (* (* (* n (/ l Om)) (/ l Om)) (- U U*)))))))

series3.2s

Counts

4 → 12

Calls

4 calls:

Slowest

1.5s	(sqrt (* (* U 2) (* n (- t (fma (/ l Om) (* 2 l) (* (* (* n (/ l Om)) (/ l Om)) (- U U*)))))))
1.5s	(sqrt (* (* U 2) (* n (- t (fma (/ l Om) (* 2 l) (* (* (* n (/ l Om)) (/ l Om)) (- U U*)))))))
114.0ms	(* (* (* n (/ l Om)) (/ l Om)) (- U U*))
110.0ms	(* (* (* n (/ l Om)) (/ l Om)) (- U U*))

simplify805.0ms

Counts: 184 → 184

prune3.1s

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 20.4b

regimes794.0ms

Accuracy

35.6% (6.0b remaining)

Error of 26.6b against oracle of 20.6b and baseline of 29.9b

bsearch143.0ms

end0.0ms

sample5.4s

Algorithm

intervals

Results

3.0s	15070×	body	80	nan
1.5s	9222×	body	80	valid