Details

sample232.0ms

Algorithm

intervals

Results

97.0ms	246×	body	80	nan
80.0ms	256×	body	80	valid

simplify2.2s

Counts

1 → 1

Iterations

Iter	Nodes
5	5020
4	1334
3	350
2	100
1	50
0	28

prune25.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.4b

localize106.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 2.0 (* t 3.0))
0.3b	(* z (sqrt (+ t a)))
2.0b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
5.5b	(/ (* z (sqrt (+ t a))) t)

rewrite75.0ms

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:

6.0ms	(/ 2.0 (* t 3.0))
17.0ms	(* z (sqrt (+ t a)))
36.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
14.0ms	(/ (* z (sqrt (+ t a))) t)

series479.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(/ 2.0 (* t 3.0))
87.0ms	(* z (sqrt (+ t a)))
259.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
108.0ms	(/ (* z (sqrt (+ t a))) t)

simplify1.7s

Counts

117 → 117

Iterations

Iter	Nodes
2	4423
1	1033
0	350

prune2.7s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize81.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 2.0 (* t 3.0))
0.4b	(/ t (sqrt (+ t a)))
1.2b	(/ z (/ t (sqrt (+ t a))))
2.0b	(- (/ z (/ t (sqrt (+ t a)))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 228

Calls

4 calls:

6.0ms	(/ 2.0 (* t 3.0))
8.0ms	(/ t (sqrt (+ t a)))
11.0ms	(/ z (/ t (sqrt (+ t a))))
57.0ms	(- (/ z (/ t (sqrt (+ t a)))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

series471.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(/ 2.0 (* t 3.0))
88.0ms	(/ t (sqrt (+ t a)))
106.0ms	(/ z (/ t (sqrt (+ t a))))
259.0ms	(- (/ z (/ t (sqrt (+ t a)))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

simplify2.5s

Counts

240 → 240

Iterations

Iter	Nodes
2	5486
1	1432
0	499

prune5.8s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize137.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ t (sqrt (+ t a)))
1.2b	(/ z (posit16->real (real->posit16 (/ t (sqrt (+ t a))))))
2.0b	(- (/ z (posit16->real (real->posit16 (/ t (sqrt (+ t a)))))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
57.6b	(posit16->real (real->posit16 (/ t (sqrt (+ t a)))))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 116

Calls

4 calls:

11.0ms	(/ t (sqrt (+ t a)))
8.0ms	(/ z (posit16->real (real->posit16 (/ t (sqrt (+ t a))))))
47.0ms	(- (/ z (posit16->real (real->posit16 (/ t (sqrt (+ t a)))))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
1.0ms	(posit16->real (real->posit16 (/ t (sqrt (+ t a)))))

series591.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(/ t (sqrt (+ t a)))
86.0ms	(/ z (posit16->real (real->posit16 (/ t (sqrt (+ t a))))))
298.0ms	(- (/ z (posit16->real (real->posit16 (/ t (sqrt (+ t a)))))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
106.0ms	(posit16->real (real->posit16 (/ t (sqrt (+ t a)))))

simplify1.5s

Counts

128 → 128

Iterations

Iter	Nodes
2	3680
1	939
0	352

prune4.4s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize70.0ms

Local error

Found 4 expressions with local error:

1.9b	(* (+ b c) (/ t (sqrt (+ t a))))
2.1b	(* (* (* (+ b c) (/ t (sqrt (+ t a)))) (- b c)) (+ a (- (/ 5.0 6.0) (/ (/ 2.0 t) 3.0))))
3.4b	(- (* z (+ b c)) (* (* (* (+ b c) (/ t (sqrt (+ t a)))) (- b c)) (+ a (- (/ 5.0 6.0) (/ (/ 2.0 t) 3.0)))))
19.7b	(/ (- (* z (+ b c)) (* (* (* (+ b c) (/ t (sqrt (+ t a)))) (- b c)) (+ a (- (/ 5.0 6.0) (/ (/ 2.0 t) 3.0))))) (* (+ b c) (/ t (sqrt (+ t a)))))

rewrite567.0ms

Algorithm

rewrite-expression-head

Rules

414×	`frac-times`
303×	`associate-*r/`
295×	`flip3-+` `flip-+`
266×	`associate-*l/`
212×	`frac-sub`
110×	`associate-/l/`
92×	`flip3--` `flip--`
35×	`*-un-lft-identity`
32×	`add-cbrt-cube` `associate-r` `add-exp-log`
30×	`add-sqr-sqrt`
26×	`times-frac`
22×	`add-cube-cbrt`
15×	`pow1`
13×	`prod-exp` `sqrt-prod` `cbrt-unprod`
7×	`pow-prod-down` `associate-/r/`
6×	`cbrt-undiv` `div-exp` `distribute-lft-out` `add-log-exp`
5×	`associate-l`
4×	`insert-posit16` `sub-div`
3×	`distribute-rgt-in` `distribute-lft-in` `associate-/l*` `unswap-sqr`
2×	`sqrt-div` `associate--l+` `*-commutative` `div-inv` `associate--r+`
1×	`clear-num` `associate-/r*` `sub-neg` `frac-2neg` `diff-log` `div-sub` `distribute-lft-out--`

Counts

4 → 399

Calls

4 calls:

26.0ms	(* (+ b c) (/ t (sqrt (+ t a))))
354.0ms	(* (* (* (+ b c) (/ t (sqrt (+ t a)))) (- b c)) (+ a (- (/ 5.0 6.0) (/ (/ 2.0 t) 3.0))))
66.0ms	(- (* z (+ b c)) (* (* (* (+ b c) (/ t (sqrt (+ t a)))) (- b c)) (+ a (- (/ 5.0 6.0) (/ (/ 2.0 t) 3.0)))))
100.0ms	(/ (- (* z (+ b c)) (* (* (* (+ b c) (/ t (sqrt (+ t a)))) (- b c)) (+ a (- (/ 5.0 6.0) (/ (/ 2.0 t) 3.0))))) (* (+ b c) (/ t (sqrt (+ t a)))))

series2.6s

Counts

4 → 12

Calls

4 calls:

148.0ms	(* (+ b c) (/ t (sqrt (+ t a))))
412.0ms	(* (* (* (+ b c) (/ t (sqrt (+ t a)))) (- b c)) (+ a (- (/ 5.0 6.0) (/ (/ 2.0 t) 3.0))))
1.0s	(- (* z (+ b c)) (* (* (* (+ b c) (/ t (sqrt (+ t a)))) (- b c)) (+ a (- (/ 5.0 6.0) (/ (/ 2.0 t) 3.0)))))
1.0s	(/ (- (* z (+ b c)) (* (* (* (+ b c) (/ t (sqrt (+ t a)))) (- b c)) (+ a (- (/ 5.0 6.0) (/ (/ 2.0 t) 3.0))))) (* (+ b c) (/ t (sqrt (+ t a)))))

simplify2.3s

Counts

411 → 411

Iterations

Iter	Nodes
1	3718
0	951

prune12.8s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes681.0ms

Accuracy

0% (2.3b remaining)

Error of 3.3b against oracle of 1.0b and baseline of 3.3b

bsearch0.0ms

simplify15.0ms

Iterations

Iter	Nodes
2	35
1	35
0	28

end0.0ms

sample6.3s

Algorithm

intervals

Results

2.8s	8000×	body	80	valid
2.6s	7848×	body	80	nan