Details

sample29.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify19.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	25
3	25
2	24
1	14
0	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.9b

localize14.0ms

Local error

Found 1 expressions with local error:

14.9b

(/ (+ x y) (* (* x 2.0) y))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-cbrt-cube` `add-exp-log`
7×	`*-un-lft-identity`
4×	`times-frac` `associate-/l*`
3×	`add-sqr-sqrt` `cbrt-undiv` `div-exp` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
2×	`distribute-lft-out` `associate-/l/`
1×	`expm1-log1p-u` `pow1` `clear-num` `associate-/r*` `frac-2neg` `flip3-+` `flip-+` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 30

Calls

1 calls:

47.0ms

(/ (+ x y) (* (* x 2.0) y))

series80.0ms

Counts

1 → 3

Calls

1 calls:

79.0ms

(/ (+ x y) (* (* x 2.0) y))

simplify1.1s

Counts

33 → 33

Iterations

Iter	Nodes
done	5001
2	829
1	221
0	76

prune108.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 1 expressions with local error:

8.2b	(/ (/ (+ x y) (* x 2.0)) y)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

40×	`times-frac`
26×	`*-un-lft-identity`
18×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`add-cbrt-cube` `add-exp-log`
8×	`associate-/l*`
5×	`cbrt-undiv` `div-exp` `div-inv`
4×	`distribute-lft-out`
3×	`associate-/r*`
1×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp` `associate-/l/`

Counts

1 → 55

Calls

1 calls:

41.0ms

(/ (/ (+ x y) (* x 2.0)) y)

series61.0ms

Counts

1 → 3

Calls

1 calls:

61.0ms

(/ (/ (+ x y) (* x 2.0)) y)

simplify1.2s

Counts

58 → 58

Iterations

Iter	Nodes
done	5000
2	1072
1	298
0	121

prune191.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ x y) y)
9.1b	(* (/ 1 (* x 2.0)) (/ (+ x y) y))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log`
35×	`*-un-lft-identity`
28×	`times-frac`
26×	`add-sqr-sqrt`
25×	`add-cbrt-cube`
21×	`add-cube-cbrt`
20×	`prod-exp`
16×	`div-exp` `associate-r`
8×	`cbrt-undiv` `cbrt-unprod`
7×	`associate-l` `distribute-lft-out`
4×	`pow1` `rec-exp` `1-exp` `associate-/l*`
3×	`associate-/r*` `div-inv`
2×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr` `associate-/l/`
1×	`frac-times` `clear-num` `frac-2neg` `flip3-+` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `flip-+`

Counts

2 → 96

Calls

2 calls:

19.0ms	(/ (+ x y) y)
57.0ms	(* (/ 1 (* x 2.0)) (/ (+ x y) y))

series83.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(/ (+ x y) y)
60.0ms	(* (/ 1 (* x 2.0)) (/ (+ x y) y))

simplify1.9s

Counts

102 → 102

Iterations

Iter	Nodes
done	5003
2	1764
1	449
0	156

prune230.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
8.8b	(* (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) 1) (/ (/ (cbrt (+ x y)) 2.0) y))

rewrite198.0ms

Algorithm

rewrite-expression-head

Rules

217×	`times-frac`
162×	`add-sqr-sqrt`
121×	`*-un-lft-identity`
94×	`add-exp-log`
89×	`add-cube-cbrt`
79×	`associate-r`
53×	`cbrt-prod`
51×	`div-exp`
48×	`add-cbrt-cube`
27×	`cbrt-undiv` `prod-exp`
25×	`associate-l`
20×	`unswap-sqr`
15×	`cbrt-unprod`
12×	`distribute-lft-out`
9×	`1-exp`
8×	`div-inv`
6×	`pow1` `cbrt-div`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`flip3-+` `pow1/3` `flip-+`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 223

Calls

4 calls:

4.0ms	(cbrt (+ x y))
4.0ms	(cbrt (+ x y))
5.0ms	(cbrt (+ x y))
174.0ms	(* (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) 1) (/ (/ (cbrt (+ x y)) 2.0) y))

series569.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(cbrt (+ x y))
163.0ms	(cbrt (+ x y))
145.0ms	(cbrt (+ x y))
103.0ms	(* (/ (/ (* (cbrt (+ x y)) (cbrt (+ x y))) x) 1) (/ (/ (cbrt (+ x y)) 2.0) y))

simplify3.5s

Counts

235 → 235

Iterations

Iter	Nodes
done	5004
2	4567
1	1382
0	402

prune1.2s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes72.0ms

Accuracy

98.2% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 7.8b

bsearch96.0ms

Steps

Iters	Range		Point
10	5.274962218715483e-45	8.812428053841386e-34	3.49698992568305e-34
10	-524937.0299516014	-3.8822111449762154e-05	-28977.221790386797

simplify3.0ms

Iterations

Iter	Nodes
done	25
1	25
0	17

end0.0ms

sample508.0ms

Algorithm

intervals

Results

379.0ms

8000×

body

valid