Details

sample42.0ms

Algorithm

intervals

Results

29.0ms

256×

body

valid

simplify2.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	2550
3	606
2	152
1	36
0	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x y) (+ x y))
0.1b	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
18.0b	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite257.0ms

Algorithm

rewrite-expression-head

Rules

60×	`frac-times` `flip3-+` `flip-+`
31×	`add-cbrt-cube` `add-exp-log`
30×	`associate-*l/`
27×	`*-un-lft-identity`
26×	`associate-/r/`
18×	`associate-*r/`
15×	`pow1`
13×	`prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt`
9×	`associate-r` `distribute-lft-out`
8×	`add-cube-cbrt`
6×	`cbrt-undiv` `swap-sqr` `div-exp`
5×	`associate-l`
4×	`pow-prod-down`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`distribute-rgt-in` `distribute-lft-in` `*-commutative` `unswap-sqr`
1×	`pow2` `clear-num` `associate-/r` `frac-2neg` `times-frac` `pow-plus` `pow-sqr` `pow-prod-up` `div-inv` `associate-/l`

Counts

3 → 149

Calls

3 calls:

32.0ms	(* (+ x y) (+ x y))
138.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
85.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series306.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(* (+ x y) (+ x y))
51.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
234.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify1.2s

Counts

158 → 158

Iterations

Iter	Nodes
done	5001
1	987
0	227

prune582.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 5.8b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) (+ x y))
0.0b	(/ y (+ (+ x y) 1.0))
0.1b	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
18.3b	(/ x (* (+ x y) (+ x y)))

rewrite155.0ms

Algorithm

rewrite-expression-head

Rules

80×	`*-un-lft-identity`
43×	`add-sqr-sqrt`
40×	`times-frac`
34×	`add-cbrt-cube` `add-exp-log`
31×	`add-cube-cbrt`
27×	`distribute-lft-out`
25×	`associate-r`
20×	`flip3-+` `associate-/r/` `flip-+`
19×	`associate-l`
13×	`frac-times` `pow1`
10×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
7×	`associate-l/` `associate-r/`
6×	`associate-/r` `swap-sqr` `associate-/l`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`clear-num` `frac-2neg` `pow-prod-down` `*-commutative`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `pow-sqr` `pow-prod-up`

Counts

4 → 182

Calls

4 calls:

23.0ms	(* (+ x y) (+ x y))
23.0ms	(/ y (+ (+ x y) 1.0))
94.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
12.0ms	(/ x (* (+ x y) (+ x y)))

series351.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* (+ x y) (+ x y))
64.0ms	(/ y (+ (+ x y) 1.0))
200.0ms	(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
71.0ms	(/ x (* (+ x y) (+ x y)))

simplify2.2s

Counts

194 → 194

Iterations

Iter	Nodes
done	5002
2	3277
1	746
0	229

prune580.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ (+ x y) 1.0))
0.0b	(/ x (+ x y))
0.1b	(/ (/ x (+ x y)) (+ x y))
0.1b	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

313×	`*-un-lft-identity`
303×	`times-frac`
163×	`add-sqr-sqrt`
142×	`add-cube-cbrt`
89×	`distribute-lft-out`
78×	`associate-l`
34×	`add-cbrt-cube` `add-exp-log`
28×	`associate-/r/`
24×	`associate-/l*`
21×	`associate-r`
14×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+` `div-inv`
13×	`associate-/r*`
6×	`pow1` `prod-exp` `cbrt-unprod` `unswap-sqr`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `associate-/l/`

Counts

4 → 322

Calls

4 calls:

22.0ms	(/ y (+ (+ x y) 1.0))
8.0ms	(/ x (+ x y))
18.0ms	(/ (/ x (+ x y)) (+ x y))
78.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

series348.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(/ y (+ (+ x y) 1.0))
45.0ms	(/ x (+ x y))
68.0ms	(/ (/ x (+ x y)) (+ x y))
184.0ms	(* (/ (/ x (+ x y)) (+ x y)) (/ y (+ (+ x y) 1.0)))

simplify2.3s

Counts

334 → 334

Iterations

Iter	Nodes
done	5002
2	3756
1	1043
0	341

prune1.1s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(log1p (expm1 (/ x (+ x y))))
0.1b	(/ (log1p (expm1 (/ x (+ x y)))) (+ x y))
0.1b	(* (/ (log1p (expm1 (/ x (+ x y)))) (+ x y)) (/ y (+ (+ x y) 1.0)))
0.5b	(expm1 (/ x (+ x y)))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

59×	`*-un-lft-identity`
43×	`times-frac`
42×	`add-sqr-sqrt`
30×	`add-cube-cbrt`
21×	`associate-r`
18×	`add-cbrt-cube` `associate-l` `add-exp-log`
16×	`distribute-lft-out`
6×	`pow1` `associate-/r/`
5×	`cbrt-undiv` `div-exp` `log1p-expm1-u`
4×	`expm1-log1p-u` `associate-/r*` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp` `unswap-sqr`
3×	`flip3-+` `flip-+` `div-inv` `associate-/l*`
1×	`frac-times` `log1p-udef` `expm1-log1p` `clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `log1p-expm1` `associate-r/` `*-commutative` `expm1-udef`

Counts

4 → 126

Calls

4 calls:

0.0ms	(log1p (expm1 (/ x (+ x y))))
8.0ms	(/ (log1p (expm1 (/ x (+ x y)))) (+ x y))
67.0ms	(* (/ (log1p (expm1 (/ x (+ x y)))) (+ x y)) (/ y (+ (+ x y) 1.0)))
1.0ms	(expm1 (/ x (+ x y)))

series537.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(log1p (expm1 (/ x (+ x y))))
117.0ms	(/ (log1p (expm1 (/ x (+ x y)))) (+ x y))
247.0ms	(* (/ (log1p (expm1 (/ x (+ x y)))) (+ x y)) (/ y (+ (+ x y) 1.0)))
88.0ms	(expm1 (/ x (+ x y)))

simplify1.5s

Counts

138 → 138

Iterations

Iter	Nodes
done	5000
2	1824
1	531
0	188

prune527.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

regimes78.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	16
1	16
0	11

end0.0ms

sample1.1s

Algorithm

intervals

Results

952.0ms

8000×

body

valid