Details

sample1.4s

Algorithm

intervals

Results

372.0ms	114×	body	10240	exit
355.0ms	129×	body	1280	valid
201.0ms	66×	body	640	valid
177.0ms	66×	body	1280	nan
66.0ms	37×	body	640	nan
53.0ms	39×	body	320	valid
37.0ms	27×	body	320	nan
26.0ms	8×	body	80	nan
12.0ms	16×	body	160	valid
7.0ms	8×	body	160	nan
4.0ms	9×	body	80	valid

simplify1.0s

Counts

1 → 1

Iterations

Iter	Nodes
3	2093
2	410
1	139
0	55

prune50.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize545.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
1.0b	(* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
1.0b	(sqrt (* PI 2))
1.0b	(sqrt (* PI 2))

rewrite854.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
22×	`associate-l`
20×	`add-sqr-sqrt`
14×	`unpow-prod-down` `add-exp-log`
10×	`pow1` `add-cube-cbrt` `distribute-lft-out`
8×	`add-cbrt-cube` `associate-r`
6×	`prod-exp` `unswap-sqr`
4×	`sqrt-pow1` `sqrt-prod` `insert-posit16` `add-log-exp` `sqr-pow`
2×	`pow-to-exp` `unpow-prod-up` `pow1/2` `pow-prod-down` `associate-l/` `pow-exp` `-commutative` `associate-+l-` `cbrt-unprod` `distribute-lft-out--` `pow-sub`

Counts

4 → 88

Calls

4 calls:

394.0ms	(* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
453.0ms	(* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
3.0ms	(sqrt (* PI 2))
3.0ms	(sqrt (* PI 2))

series701.0ms

Counts

4 → 8

Calls

4 calls:

337.0ms	(* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
364.0ms	(* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
0.0ms	(sqrt (* PI 2))
0.0ms	(sqrt (* PI 2))

simplify3.2s

Counts

96 → 96

Iterations

Iter	Nodes
3	6266
2	1324
1	399
0	159

prune3.0s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.5b

localize144.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ (* (pow (+ (+ 7 (- z 1)) 0.5) (- z 1)) (* (pow (+ (+ 7 (- z 1)) 0.5) 0.5) (sqrt (* PI 2)))) (exp (+ (+ 7 (- z 1)) 0.5)))
1.0b	(* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
1.0b	(sqrt (* PI 2))
1.0b	(sqrt (* PI 2))

rewrite1.3s

Algorithm

rewrite-expression-head

Rules

36×	`add-exp-log`
24×	`prod-exp`
18×	`*-un-lft-identity`
15×	`add-cbrt-cube`
14×	`add-sqr-sqrt`
13×	`div-exp`
11×	`associate-l`
10×	`pow1`
9×	`add-cube-cbrt`
8×	`pow-to-exp` `pow-exp`
7×	`unpow-prod-down`
5×	`distribute-lft-out`
4×	`associate-/r` `sqrt-pow1` `times-frac` `associate-r*` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`cbrt-undiv` `sqrt-prod` `unswap-sqr`
2×	`pow1/2` `exp-sum` `pow-prod-down` `associate-*l/` `associate-+l-` `pow-sub` `sqr-pow`
1×	`unpow-prod-up` `clear-num` `associate-+r-` `frac-2neg` `exp-diff` `associate-/r/` `-commutative` `div-inv` `associate-/l` `distribute-lft-out--` `associate-/l/`

Counts

4 → 94

Calls

4 calls:

755.0ms	(/ (* (pow (+ (+ 7 (- z 1)) 0.5) (- z 1)) (* (pow (+ (+ 7 (- z 1)) 0.5) 0.5) (sqrt (* PI 2)))) (exp (+ (+ 7 (- z 1)) 0.5)))
500.0ms	(* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
3.0ms	(sqrt (* PI 2))
3.0ms	(sqrt (* PI 2))

series1.1s

Counts

4 → 8

Calls

4 calls:

777.0ms	(/ (* (pow (+ (+ 7 (- z 1)) 0.5) (- z 1)) (* (pow (+ (+ 7 (- z 1)) 0.5) 0.5) (sqrt (* PI 2)))) (exp (+ (+ 7 (- z 1)) 0.5)))
351.0ms	(* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
0.0ms	(sqrt (* PI 2))
0.0ms	(sqrt (* PI 2))

simplify1.5s

Counts

102 → 102

Iterations

Iter	Nodes
2	3408
1	829
0	283

prune3.6s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.4b

localize187.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ (* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2))) (exp (+ (+ 7 (- z 1)) 0.5)))
1.0b	(* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
1.0b	(sqrt (* PI 2))
1.0b	(sqrt (* PI 2))

rewrite953.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
15×	`add-exp-log`
14×	`add-sqr-sqrt`
11×	`add-cbrt-cube` `associate-l`
10×	`pow1`
9×	`add-cube-cbrt`
7×	`unpow-prod-down`
6×	`prod-exp`
5×	`distribute-lft-out`
4×	`associate-/r` `sqrt-pow1` `times-frac` `div-exp` `associate-r*` `insert-posit16` `add-log-exp`
3×	`associate-+l-` `sqrt-prod` `unswap-sqr`
2×	`pow-to-exp` `cbrt-undiv` `pow1/2` `exp-sum` `pow-prod-down` `associate-*l/` `pow-exp` `cbrt-unprod` `pow-sub` `sqr-pow`
1×	`unpow-prod-up` `clear-num` `associate-+r-` `frac-2neg` `exp-diff` `associate-/r/` `-commutative` `div-inv` `associate-/l` `distribute-lft-out--` `associate-/l/`

Counts

4 → 84

Calls

4 calls:

434.0ms	(/ (* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2))) (exp (+ (+ 7 (- z 1)) 0.5)))
512.0ms	(* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
3.0ms	(sqrt (* PI 2))
3.0ms	(sqrt (* PI 2))

series961.0ms

Counts

4 → 8

Calls

4 calls:

583.0ms	(/ (* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2))) (exp (+ (+ 7 (- z 1)) 0.5)))
378.0ms	(* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
0.0ms	(sqrt (* PI 2))
0.0ms	(sqrt (* PI 2))

simplify899.0ms

Counts

92 → 92

Iterations

Iter	Nodes
2	2076
1	546
0	199

prune3.6s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.4b

localize215.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
1.0b	(sqrt (* PI 2))
1.0b	(sqrt (* PI 2))
38.8b	(posit16->real (real->posit16 (sqrt (* PI 2))))

rewrite401.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
12×	`add-sqr-sqrt`
11×	`associate-l`
10×	`pow1`
9×	`add-exp-log`
7×	`unpow-prod-down` `add-cube-cbrt`
6×	`add-cbrt-cube`
5×	`distribute-lft-out`
4×	`sqrt-pow1` `associate-r` `insert-posit16` `add-log-exp`
3×	`prod-exp` `sqrt-prod` `unswap-sqr`
2×	`pow1/2` `pow-prod-down` `sqr-pow`
1×	`pow-to-exp` `unpow-prod-up` `associate-l/` `pow-exp` `-commutative` `associate-+l-` `cbrt-unprod` `remove-posit16` `distribute-lft-out--` `pow-sub`

Counts

4 → 65

Calls

4 calls:

389.0ms	(* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
5.0ms	(sqrt (* PI 2))
6.0ms	(sqrt (* PI 2))
1.0ms	(posit16->real (real->posit16 (sqrt (* PI 2))))

series389.0ms

Counts

4 → 6

Calls

4 calls:

388.0ms	(* (pow (+ (+ 7 (- z 1)) 0.5) (+ (- z 1) 0.5)) (sqrt (* PI 2)))
0.0ms	(sqrt (* PI 2))
0.0ms	(sqrt (* PI 2))
0.0ms	(posit16->real (real->posit16 (sqrt (* PI 2))))

simplify1.5s

Counts

71 → 71

Iterations

Iter	Nodes
3	4458
2	1079
1	327
0	131

prune2.7s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.4b

regimes101.0ms

Accuracy

0% (0.3b remaining)

Error of 0.9b against oracle of 0.6b and baseline of 0.9b

bsearch0.0ms

simplify32.0ms

Iterations

Iter	Nodes
2	80
1	80
0	58

end0.0ms

sample51.2s

Algorithm

intervals

Results

19.7s	3777×	body	10240	exit
11.4s	3393×	body	1280	valid
7.6s	2504×	body	640	valid
4.5s	1547×	body	1280	nan
3.1s	1212×	body	640	nan
2.1s	1222×	body	320	valid
971.0ms	613×	body	320	nan
674.0ms	629×	body	160	valid
278.0ms	309×	body	160	nan
230.0ms	326×	body	80	valid
154.0ms	286×	body	80	nan