Details

sample95.0ms

Algorithm

intervals

Results

22.0ms	229×	body	80	valid
12.0ms	25×	body	1280	valid
9.0ms	24×	body	640	valid
6.0ms	20×	body	320	valid
5.0ms	25×	body	160	valid
4.0ms	7×	body	2560	valid

simplify5.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	1277
4	400
3	170
2	69
1	23
0	9

prune41.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (- x z) y)

rewrite105.0ms

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:

102.0ms

(* (- x z) y)

series74.0ms

Counts

1 → 3

Calls

1 calls:

74.0ms

(* (- x z) y)

simplify3.5s

Counts

28 → 28

Iterations

Iter	Nodes
done	5000
3	1297
2	313
1	115
0	52

prune376.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize94.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x y) (* y y))
9.9b	(+ (- (* x y) (* y y)) (* y y))

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`fma-def`
3×	`add-sqr-sqrt` `associate-+l+` `*-un-lft-identity` `distribute-rgt-out--` `add-cube-cbrt`
2×	`expm1-log1p-u` `pow1` `sum-log` `sub-neg` `add-cbrt-cube` `diff-log` `prod-diff` `add-exp-log` `insert-posit16` `log1p-expm1-u`
1×	`+-commutative` `flip3-+` `flip3--` `fma-neg` `associate-+l-` `flip-+` `flip--` `distribute-lft-out`

Counts

2 → 42

Calls

2 calls:

31.0ms	(- (* x y) (* y y))
107.0ms	(+ (- (* x y) (* y y)) (* y y))

series103.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(- (* x y) (* y y))
39.0ms	(+ (- (* x y) (* y y)) (* y y))

simplify6.7s

Counts

48 → 48

Iterations

Iter	Nodes
done	5002
3	2628
2	589
1	179
0	61

prune532.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize67.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- x z) y)
0.2b	(* (sqrt (* (- x z) y)) (sqrt (* (- x z) y)))
2.2b	(sqrt (* (- x z) y))
2.2b	(sqrt (* (- x z) y))

rewrite321.0ms

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:

71.0ms	(* (- x z) y)
183.0ms	(* (sqrt (* (- x z) y)) (sqrt (* (- x z) y)))
24.0ms	(sqrt (* (- x z) y))
37.0ms	(sqrt (* (- x z) y))

series1.6s

Counts

4 → 12

Calls

4 calls:

57.0ms	(* (- x z) y)
154.0ms	(* (sqrt (* (- x z) y)) (sqrt (* (- x z) y)))
740.0ms	(sqrt (* (- x z) y))
675.0ms	(sqrt (* (- x z) y))

simplify6.4s

Counts

129 → 129

Iterations

Iter	Nodes
done	5000
3	2772
2	774
1	307
0	135

prune1.3s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes667.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	6
1	6
0	5

end0.0ms

sample2.7s

Algorithm

intervals

Results

633.0ms	7047×	body	80	valid
629.0ms	533×	body	320	valid
403.0ms	936×	body	1280	valid
351.0ms	929×	body	640	valid
120.0ms	569×	body	160	valid
95.0ms	213×	body	2560	valid