Details

sample24.0ms

Algorithm

intervals

Results

15.0ms

256×

body

valid

simplify7.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	14
2	14
1	11
0	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.1b

localize29.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 1.0 (/ y z))
8.1b	(/ (+ x y) (- 1.0 (/ y z)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

79×	`add-sqr-sqrt`
75×	`*-un-lft-identity`
57×	`times-frac`
49×	`add-cube-cbrt`
39×	`prod-diff`
12×	`difference-of-squares`
7×	`distribute-lft-out`
6×	`associate-/r*` `distribute-lft-out--`
4×	`add-cbrt-cube` `add-exp-log` `div-inv` `associate-/l*` `add-log-exp`
3×	`fma-neg`
2×	`expm1-log1p-u` `pow1` `flip3--` `associate-/r/` `insert-posit16` `log1p-expm1-u` `flip--` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-exp` `flip-+`

Counts

2 → 113

Calls

2 calls:

9.0ms	(- 1.0 (/ y z))
37.0ms	(/ (+ x y) (- 1.0 (/ y z)))

series100.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(- 1.0 (/ y z))
81.0ms	(/ (+ x y) (- 1.0 (/ y z)))

simplify1.4s

Counts

119 → 119

Iterations

Iter	Nodes
done	2002
2	1400
1	522
0	222

prune562.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 5.7b

localize36.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (/ y z))
0.2b	(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
8.1b	(/ (- 1.0 (/ y z)) (+ x y))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

259×	`times-frac`
235×	`add-sqr-sqrt`
231×	`*-un-lft-identity`
125×	`add-cube-cbrt`
44×	`difference-of-squares`
39×	`prod-diff`
34×	`associate-/r*`
31×	`distribute-lft-out`
22×	`distribute-lft-out--`
16×	`add-exp-log`
11×	`associate-/r/`
10×	`add-cbrt-cube`
9×	`div-inv` `associate-/l*`
8×	`div-exp`
5×	`flip3-+` `flip-+` `add-log-exp`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `fma-neg` `insert-posit16` `log1p-expm1-u`
2×	`rec-exp` `clear-num` `frac-2neg` `flip3--` `1-exp` `flip--` `associate-/l/`
1×	`sub-neg` `diff-log` `div-sub` `pow-flip` `inv-pow`

Counts

3 → 261

Calls

3 calls:

13.0ms	(- 1.0 (/ y z))
19.0ms	(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
28.0ms	(/ (- 1.0 (/ y z)) (+ x y))

series306.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(- 1.0 (/ y z))
211.0ms	(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
59.0ms	(/ (- 1.0 (/ y z)) (+ x y))

simplify759.0ms

Counts

270 → 270

Iterations

Iter	Nodes
done	2000
1	978
0	375

prune1.1s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 5.7b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (/ y z))
0.3b	(/ 1 (- 1.0 (/ y z)))
7.9b	(* (/ 1 (- 1.0 (/ y z))) (+ x y))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

107×	`add-sqr-sqrt`
79×	`*-un-lft-identity`
73×	`times-frac`
60×	`add-cube-cbrt`
39×	`prod-diff`
24×	`associate-l`
16×	`add-exp-log` `difference-of-squares`
10×	`add-cbrt-cube`
8×	`distribute-lft-out--`
6×	`pow1` `associate-/r*`
5×	`div-inv` `add-log-exp`
4×	`div-exp` `associate-r` `prod-exp` `associate-/r/`
3×	`expm1-log1p-u` `flip3--` `fma-neg` `insert-posit16` `log1p-expm1-u` `flip--` `associate-/l*` `unswap-sqr`
2×	`frac-times` `cbrt-undiv` `rec-exp` `flip3-+` `1-exp` `associate-*r/` `cbrt-unprod` `flip-+`
1×	`distribute-rgt-in` `clear-num` `sub-neg` `frac-2neg` `distribute-lft-in` `diff-log` `pow-prod-down` `associate-l/` `-commutative` `pow-flip` `distribute-lft-out` `inv-pow`

Counts

3 → 164

Calls

3 calls:

8.0ms	(- 1.0 (/ y z))
11.0ms	(/ 1 (- 1.0 (/ y z)))
55.0ms	(* (/ 1 (- 1.0 (/ y z))) (+ x y))

series362.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(- 1.0 (/ y z))
84.0ms	(/ 1 (- 1.0 (/ y z)))
242.0ms	(* (/ 1 (- 1.0 (/ y z))) (+ x y))

simplify676.0ms

Counts

173 → 173

Iterations

Iter	Nodes
done	2003
1	831
0	278

prune802.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 5.7b

localize33.0ms

Local error

Found 4 expressions with local error:

1.9b	(/ (+ x y) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
8.4b	(cbrt (- 1.0 (/ y z)))
8.4b	(cbrt (- 1.0 (/ y z)))
8.4b	(cbrt (- 1.0 (/ y z)))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 93

Calls

4 calls:

55.0ms	(/ (+ x y) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
4.0ms	(cbrt (- 1.0 (/ y z)))
4.0ms	(cbrt (- 1.0 (/ y z)))
4.0ms	(cbrt (- 1.0 (/ y z)))

series1.8s

Counts

4 → 12

Calls

4 calls:

363.0ms	(/ (+ x y) (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))))
512.0ms	(cbrt (- 1.0 (/ y z)))
477.0ms	(cbrt (- 1.0 (/ y z)))
456.0ms	(cbrt (- 1.0 (/ y z)))

simplify605.0ms

Counts

105 → 105

Iterations

Iter	Nodes
done	2002
2	847
1	348
0	152

prune559.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 5.7b

regimes331.0ms

Accuracy

74.2% (0.6b remaining)

Error of 6.4b against oracle of 5.8b and baseline of 8.0b

bsearch3.0ms

simplify12.0ms

Iterations

Iter	Nodes
done	30
1	30
0	24

end0.0ms

sample845.0ms

Algorithm

intervals

Results

634.0ms	7995×	body	80	valid
1.0ms	2×	body	2560	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid