Details

sample133.0ms

Algorithm

intervals

Results

46.0ms	257×	body	80	nan
39.0ms	256×	body	80	valid

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
4	1302
3	350
2	100
1	50
0	28

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.9b

localize81.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (sqrt (+ t a)))
0.3b	(/ 2.0 (* t 3.0))
2.8b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
4.8b	(/ (* z (sqrt (+ t a))) t)

rewrite121.0ms

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:

35.0ms	(* z (sqrt (+ t a)))
13.0ms	(/ 2.0 (* t 3.0))
44.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
25.0ms	(/ (* z (sqrt (+ t a))) t)

series491.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(* z (sqrt (+ t a)))
31.0ms	(/ 2.0 (* t 3.0))
259.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
114.0ms	(/ (* z (sqrt (+ t a))) t)

simplify2.8s

Counts

117 → 117

Iterations

Iter	Nodes
done	5033
2	4401
1	1044
0	350

prune1.2s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize75.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (sqrt (+ t a)) t)
0.3b	(/ 2.0 (* t 3.0))
0.4b	(* z (/ (sqrt (+ t a)) t))
2.8b	(- (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

rewrite152.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 147

Calls

4 calls:

34.0ms	(/ (sqrt (+ t a)) t)
15.0ms	(/ 2.0 (* t 3.0))
47.0ms	(* z (/ (sqrt (+ t a)) t))
48.0ms	(- (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

series519.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(/ (sqrt (+ t a)) t)
32.0ms	(/ 2.0 (* t 3.0))
139.0ms	(* z (/ (sqrt (+ t a)) t))
277.0ms	(- (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

simplify2.6s

Counts

159 → 159

Iterations

Iter	Nodes
done	5001
2	4663
1	1100
0	381

prune1.6s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize140.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 2.0 (* t 3.0))
0.4b	(* z (posit16->real (real->posit16 (/ (sqrt (+ t a)) t))))
2.8b	(- (* z (posit16->real (real->posit16 (/ (sqrt (+ t a)) t)))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
57.9b	(posit16->real (real->posit16 (/ (sqrt (+ t a)) t)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

15.0ms	(/ 2.0 (* t 3.0))
15.0ms	(* z (posit16->real (real->posit16 (/ (sqrt (+ t a)) t))))
21.0ms	(- (* z (posit16->real (real->posit16 (/ (sqrt (+ t a)) t)))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
1.0ms	(posit16->real (real->posit16 (/ (sqrt (+ t a)) t)))

series548.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(/ 2.0 (* t 3.0))
127.0ms	(* z (posit16->real (real->posit16 (/ (sqrt (+ t a)) t))))
280.0ms	(- (* z (posit16->real (real->posit16 (/ (sqrt (+ t a)) t)))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
111.0ms	(posit16->real (real->posit16 (/ (sqrt (+ t a)) t)))

simplify1.7s

Counts

81 → 81

Iterations

Iter	Nodes
done	5001
2	1475
1	472
0	192

prune1.2s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize119.0ms

Local error

Found 4 expressions with local error:

0.4b	(* z (posit16->real (real->posit16 (/ (sqrt (+ t a)) t))))
2.8b	(- (* z (posit16->real (real->posit16 (/ (sqrt (+ t a)) t)))) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (* (/ (/ 2.0 t) 3.0) (* (/ (/ 2.0 t) 3.0) (/ (/ 2.0 t) 3.0)))))))
38.8b	(cbrt (* (/ (/ 2.0 t) 3.0) (* (/ (/ 2.0 t) 3.0) (/ (/ 2.0 t) 3.0))))
57.9b	(posit16->real (real->posit16 (/ (sqrt (+ t a)) t)))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
7×	`cbrt-div`
6×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `associate--r+` `add-log-exp`
5×	`frac-times` `associate-*r/`
4×	`insert-posit16`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r` `associate-l` `associate-*l/`
2×	`associate--l+`
1×	`cbrt-prod` `flip3--` `pow1/3` `diff-log` `cube-unmult` `pow-prod-down` `prod-exp` `*-commutative` `rem-cbrt-cube` `cbrt-unprod` `remove-posit16` `flip--` `unswap-sqr`

Counts

4 → 65

Calls

4 calls:

14.0ms	(* z (posit16->real (real->posit16 (/ (sqrt (+ t a)) t))))
22.0ms	(- (* z (posit16->real (real->posit16 (/ (sqrt (+ t a)) t)))) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (* (/ (/ 2.0 t) 3.0) (* (/ (/ 2.0 t) 3.0) (/ (/ 2.0 t) 3.0)))))))
81.0ms	(cbrt (* (/ (/ 2.0 t) 3.0) (* (/ (/ 2.0 t) 3.0) (/ (/ 2.0 t) 3.0))))
0.0ms	(posit16->real (real->posit16 (/ (sqrt (+ t a)) t)))

series757.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(* z (posit16->real (real->posit16 (/ (sqrt (+ t a)) t))))
462.0ms	(- (* z (posit16->real (real->posit16 (/ (sqrt (+ t a)) t)))) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (* (/ (/ 2.0 t) 3.0) (* (/ (/ 2.0 t) 3.0) (/ (/ 2.0 t) 3.0)))))))
84.0ms	(cbrt (* (/ (/ 2.0 t) 3.0) (* (/ (/ 2.0 t) 3.0) (/ (/ 2.0 t) 3.0))))
87.0ms	(posit16->real (real->posit16 (/ (sqrt (+ t a)) t)))

simplify1.5s

Counts

77 → 77

Iterations

Iter	Nodes
done	5002
2	1393
1	464
0	192

prune1.4s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes965.0ms

Accuracy

17.1% (4.1b remaining)

Error of 4.6b against oracle of 0.5b and baseline of 5.4b

bsearch2.0ms

simplify30.0ms

Iterations

Iter	Nodes
done	63
1	63
0	47

end0.0ms

sample4.3s

Algorithm

intervals

Results

1.8s	8000×	body	80	valid
1.8s	7909×	body	80	nan