Details

sample75.0ms

Algorithm

intervals

Results

25.0ms	233×	body	80	valid
12.0ms	29×	body	1280	valid
9.0ms	25×	body	640	valid
7.0ms	12×	body	2560	valid
6.0ms	23×	body	320	valid
1.0ms	8×	body	160	valid

simplify1.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	2001
5	1137
4	391
3	168
2	60
1	21
0	9

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (- x z) y)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
5×	`-un-lft-identity` `associate-l*`
3×	`pow1` `add-cbrt-cube` `associate-r` `add-exp-log` `add-cube-cbrt`
2×	`associate-*l/`
1×	`expm1-log1p-u` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 25

Calls

1 calls:

23.0ms

(* (- x z) y)

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

(* (- x z) y)

simplify778.0ms

Counts

28 → 28

Iterations

Iter	Nodes
done	2001
3	1253
2	310
1	115
0	52

prune380.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (- x z) (sqrt y))
0.2b	(* (* (- x z) (sqrt y)) (sqrt y))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-r`
9×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log`
7×	`add-cube-cbrt` `sqrt-prod`
6×	`associate-l` `associate-*l/`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3--` `*-commutative` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

2 → 55

Calls

2 calls:

28.0ms	(* (- x z) (sqrt y))
49.0ms	(* (* (- x z) (sqrt y)) (sqrt y))

series108.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(* (- x z) (sqrt y))
48.0ms	(* (* (- x z) (sqrt y)) (sqrt y))

simplify618.0ms

Counts

61 → 61

Iterations

Iter	Nodes
done	2000
2	756
1	226
0	91

prune192.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- x z) y)
0.2b	(* (sqrt (* (- x z) y)) (sqrt (* (- x z) y)))
3.9b	(sqrt (* (- x z) y))
3.9b	(sqrt (* (- x z) y))

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*l/`
16×	`add-sqr-sqrt` `sqrt-div`
12×	`*-un-lft-identity` `pow1/2`
10×	`pow-prod-up` `add-cube-cbrt`
9×	`flip3--` `associate-l` `flip--`
8×	`add-cbrt-cube` `add-exp-log`
7×	`associate-r`
6×	`pow-sqr` `sqrt-prod`
4×	`expm1-log1p-u` `frac-times` `swap-sqr` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`prod-exp` `associate-r/` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 117

Calls

4 calls:

28.0ms	(* (- x z) y)
74.0ms	(* (sqrt (* (- x z) y)) (sqrt (* (- x z) y)))
10.0ms	(sqrt (* (- x z) y))
8.0ms	(sqrt (* (- x z) y))

series610.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* (- x z) y)
81.0ms	(* (sqrt (* (- x z) y)) (sqrt (* (- x z) y)))
249.0ms	(sqrt (* (- x z) y))
235.0ms	(sqrt (* (- x z) y))

simplify536.0ms

Counts

129 → 129

Iterations

Iter	Nodes
done	2001
2	819
1	309
0	135

prune391.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes109.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	6
1	6
0	5

end0.0ms

sample2.0s

Algorithm

intervals

Results

701.0ms	6976×	body	80	valid
426.0ms	980×	body	1280	valid
311.0ms	926×	body	640	valid
184.0ms	600×	body	320	valid
100.0ms	227×	body	2560	valid
56.0ms	363×	body	160	valid