Details

sample24.0ms

Algorithm

intervals

Results

13.0ms

348×

body

valid

simplify1.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5005
5	1348
4	482
3	167
2	63
1	21
0	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.8b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) (- 3.0 x))
4.7b	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
18×	`prod-diff`
16×	`add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
12×	`flip3--` `flip--`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`frac-times` `associate-/l/`
5×	`associate-r` `associate-l` `prod-exp` `cbrt-unprod`
4×	`pow1` `cbrt-undiv` `div-exp` `associate-l/` `associate-r/`
2×	`expm1-log1p-u` `sub-neg` `insert-posit16` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
1×	`clear-num` `associate-/r` `frac-2neg` `times-frac` `pow-prod-down` `-commutative` `div-inv` `associate-/l*` `unswap-sqr`

Counts

2 → 87

Calls

2 calls:

62.0ms	(* (- 1.0 x) (- 3.0 x))
48.0ms	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series115.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(* (- 1.0 x) (- 3.0 x))
87.0ms	(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify2.2s

Counts

93 → 93

Iterations

Iter	Nodes
done	5002
2	2812
1	542
0	190

prune334.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 3.0 x) 3.0)
0.0b	(/ (- 1.0 x) y)
0.1b	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

rewrite181.0ms

Algorithm

rewrite-expression-head

Rules

81×	`add-sqr-sqrt`
69×	`*-un-lft-identity`
64×	`times-frac`
41×	`add-cube-cbrt`
19×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
14×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-/l*`
6×	`cbrt-undiv` `associate-/r*` `div-exp`
5×	`pow1`
4×	`prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr` `associate-/l/`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `flip3--` `div-sub` `flip--`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

3 → 147

Calls

3 calls:

33.0ms	(/ (- 3.0 x) 3.0)
34.0ms	(/ (- 1.0 x) y)
104.0ms	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series191.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(/ (- 3.0 x) 3.0)
54.0ms	(/ (- 1.0 x) y)
83.0ms	(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify2.0s

Counts

156 → 156

Iterations

Iter	Nodes
done	5001
2	1827
1	591
0	211

prune690.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- 3.0 x) 3.0)
0.1b	(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))
0.1b	(/ (/ (- 3.0 x) 3.0) y)

rewrite195.0ms

Algorithm

rewrite-expression-head

Rules

237×	`times-frac`
178×	`add-sqr-sqrt`
169×	`*-un-lft-identity`
117×	`add-cube-cbrt`
61×	`associate-r`
26×	`distribute-lft-out--` `difference-of-squares`
24×	`associate-/l*`
19×	`add-cbrt-cube` `add-exp-log`
10×	`div-inv`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r*`
5×	`pow1` `associate-l`
3×	`expm1-log1p-u` `flip3--` `div-sub` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp` `unswap-sqr` `associate-/l/`
2×	`frac-times` `clear-num` `frac-2neg` `associate-*l/`
1×	`pow-prod-down` `associate-r/` `-commutative`

Counts

3 → 231

Calls

3 calls:

34.0ms	(/ (- 3.0 x) 3.0)
120.0ms	(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))
22.0ms	(/ (/ (- 3.0 x) 3.0) y)

series238.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(/ (- 3.0 x) 3.0)
88.0ms	(* (- 1.0 x) (/ (/ (- 3.0 x) 3.0) y))
78.0ms	(/ (/ (- 3.0 x) 3.0) y)

simplify2.1s

Counts

240 → 240

Iterations

Iter	Nodes
done	5010
2	2682
1	849
0	320

prune1.1s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1.0 x) y)
0.1b	(/ (- 3.0 x) (cbrt 3.0))
0.3b	(/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0)))
0.3b	(* (/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0)))

rewrite183.0ms

Algorithm

rewrite-expression-head

Rules

173×	`times-frac`
157×	`add-sqr-sqrt`
130×	`*-un-lft-identity`
78×	`add-cube-cbrt`
61×	`add-exp-log`
43×	`add-cbrt-cube`
36×	`cbrt-prod`
34×	`associate-r`
29×	`associate-/l*`
26×	`distribute-lft-out--` `difference-of-squares`
25×	`cbrt-undiv` `div-exp`
23×	`associate-l`
16×	`prod-exp` `cbrt-unprod`
10×	`associate-/r*`
9×	`unswap-sqr`
8×	`div-inv`
6×	`pow1`
5×	`associate-/l/`
4×	`expm1-log1p-u` `div-sub` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg`
2×	`flip3--` `flip--`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 263

Calls

4 calls:

19.0ms	(/ (- 1.0 x) y)
18.0ms	(/ (- 3.0 x) (cbrt 3.0))
25.0ms	(/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0)))
113.0ms	(* (/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0)))

series1.1s

Counts

4 → 12

Calls

4 calls:

50.0ms	(/ (- 1.0 x) y)
122.0ms	(/ (- 3.0 x) (cbrt 3.0))
699.0ms	(/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0)))
184.0ms	(* (/ (/ (- 1.0 x) y) (* (cbrt 3.0) (cbrt 3.0))) (/ (- 3.0 x) (cbrt 3.0)))

simplify2.5s

Counts

275 → 275

Iterations

Iter	Nodes
done	5000
2	3635
1	1039
0	344

prune1.0s

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes169.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	10
1	10
0	9

end0.0ms

sample803.0ms

Algorithm

intervals

Results

629.0ms

10738×

body

valid