Details

sample175.0ms

Algorithm

intervals

Results

79.0ms	256×	body	80	valid
54.0ms	256×	body	80	nan

simplify752.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2001
4	1302
3	350
2	100
1	50
0	28

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.9b

localize57.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (sqrt (+ t a)))
0.3b	(/ 2.0 (* t 3.0))
2.0b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
4.8b	(/ (* z (sqrt (+ t a))) t)

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

20×	`frac-sub`
16×	`add-cbrt-cube` `add-exp-log`
15×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
11×	`add-cube-cbrt`
9×	`flip3--` `flip--`
8×	`frac-times` `associate-*r/`
7×	`associate-r`
6×	`pow1` `times-frac` `associate--r+` `add-log-exp`
5×	`flip3-+` `sqrt-prod` `flip-+`
4×	`cbrt-undiv` `associate-/r` `sqrt-div` `div-exp` `insert-posit16` `associate-/l`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `prod-exp` `cbrt-unprod`
2×	`clear-num` `frac-2neg` `associate-*l/` `associate--l+` `div-inv` `unswap-sqr` `associate-/l/`
1×	`diff-log` `pow-prod-down` `*-commutative` `distribute-lft-out`

Counts

4 → 105

Calls

4 calls:

19.0ms	(* z (sqrt (+ t a)))
9.0ms	(/ 2.0 (* t 3.0))
33.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
12.0ms	(/ (* z (sqrt (+ t a))) t)

series443.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(* z (sqrt (+ t a)))
22.0ms	(/ 2.0 (* t 3.0))
241.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
102.0ms	(/ (* z (sqrt (+ t a))) t)

simplify690.0ms

Counts

117 → 117

Iterations

Iter	Nodes
done	2004
1	1044
0	350

prune1.1s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize90.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
1.6b	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
2.0b	(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

63×	`add-sqr-sqrt`
60×	`frac-sub`
58×	`times-frac`
47×	`*-un-lft-identity`
46×	`associate-r`
39×	`frac-times`
35×	`add-cube-cbrt`
31×	`cbrt-prod`
28×	`sqrt-prod`
27×	`associate-*r/`
25×	`flip3--` `add-exp-log` `flip--`
21×	`associate-*l/`
18×	`add-cbrt-cube`
10×	`unswap-sqr`
9×	`flip3-+` `flip-+`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `associate-l`
6×	`pow1` `distribute-lft-out` `associate--r+` `add-log-exp`
4×	`insert-posit16`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
2×	`pow1/3` `associate--l+` `div-inv`
1×	`diff-log` `pow-prod-down` `*-commutative`

Counts

4 → 173

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
35.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
51.0ms	(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

series939.0ms

Counts

4 → 12

Calls

4 calls:

275.0ms	(cbrt t)
241.0ms	(cbrt t)
146.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
277.0ms	(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

simplify1.2s

Counts

185 → 185

Iterations

Iter	Nodes
done	2000
1	1858
0	491

prune1.8s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.5b

localize67.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 2.0 (* t 3.0))
2.0b	(- (/ (posit16->real (real->posit16 (* z (sqrt (+ t a))))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
4.8b	(/ (posit16->real (real->posit16 (* z (sqrt (+ t a))))) t)
55.9b	(posit16->real (real->posit16 (* z (sqrt (+ t a)))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

20×	`frac-sub`
14×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
12×	`times-frac`
11×	`add-cbrt-cube` `add-exp-log`
9×	`flip3--` `flip--`
8×	`frac-times`
6×	`associate-/l*` `associate--r+` `add-log-exp`
4×	`pow1` `associate-/r` `associate-r/` `insert-posit16`
3×	`distribute-rgt-in` `cbrt-undiv` `sub-neg` `distribute-lft-in` `flip3-+` `div-exp` `flip-+`
2×	`clear-num` `frac-2neg` `associate-*l/` `associate--l+` `div-inv`
1×	`diff-log` `prod-exp` `cbrt-unprod` `remove-posit16`

Counts

4 → 92

Calls

4 calls:

6.0ms	(/ 2.0 (* t 3.0))
28.0ms	(- (/ (posit16->real (real->posit16 (* z (sqrt (+ t a))))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
4.0ms	(/ (posit16->real (real->posit16 (* z (sqrt (+ t a))))) t)
0.0ms	(posit16->real (real->posit16 (* z (sqrt (+ t a)))))

series454.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(/ 2.0 (* t 3.0))
242.0ms	(- (/ (posit16->real (real->posit16 (* z (sqrt (+ t a))))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
106.0ms	(/ (posit16->real (real->posit16 (* z (sqrt (+ t a))))) t)
86.0ms	(posit16->real (real->posit16 (* z (sqrt (+ t a)))))

simplify758.0ms

Counts

104 → 104

Iterations

Iter	Nodes
done	2007
1	923
0	321

prune1.5s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.5b

localize138.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
1.6b	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
2.0b	(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
48.7b	(posit16->real (real->posit16 (- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))))

rewrite412.0ms

Algorithm

rewrite-expression-head

Rules

62×	`add-sqr-sqrt`
60×	`frac-sub`
58×	`times-frac`
46×	`-un-lft-identity` `associate-r*`
39×	`frac-times`
34×	`add-cube-cbrt`
28×	`cbrt-prod` `sqrt-prod`
27×	`associate-*r/`
25×	`flip3--` `add-exp-log` `flip--`
21×	`associate-*l/`
18×	`add-cbrt-cube`
10×	`unswap-sqr`
9×	`flip3-+` `flip-+`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `associate-l`
6×	`pow1` `distribute-lft-out` `associate--r+` `add-log-exp`
4×	`insert-posit16`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
2×	`associate--l+` `div-inv`
1×	`pow1/3` `diff-log` `pow-prod-down` `*-commutative` `remove-posit16`

Counts

4 → 170

Calls

4 calls:

1.0ms	(cbrt t)
53.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
352.0ms	(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
0.0ms	(posit16->real (real->posit16 (- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))))

series1.2s

Counts

4 → 12

Calls

4 calls:

297.0ms	(cbrt t)
162.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
327.0ms	(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
373.0ms	(posit16->real (real->posit16 (- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))))

simplify1.2s

Counts

182 → 182

Iterations

Iter	Nodes
done	2000
1	1872
0	500

prune3.0s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.5b

regimes683.0ms

Accuracy

0% (1.8b remaining)

Error of 2.4b against oracle of 0.6b and baseline of 2.4b

bsearch0.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	39
1	39
0	31

end0.0ms

sample5.0s

Algorithm

intervals

Results

2.2s	8000×	body	80	valid
1.9s	8192×	body	80	nan