Details

sample24.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify2.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	3563
3	688
2	157
1	36
0	9

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.5b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ y x) (+ y x))
0.1b	(* (+ (+ y x) 1.0) (* (+ y x) (+ y x)))
19.4b	(/ (* x y) (* (+ (+ y x) 1.0) (* (+ y x) (+ y x))))

rewrite223.0ms

Algorithm

rewrite-expression-head

Rules

60×	`frac-times` `flip3-+` `flip-+`
31×	`add-cbrt-cube` `add-exp-log`
30×	`associate-*r/`
27×	`*-un-lft-identity`
26×	`associate-/r/`
18×	`associate-*l/`
15×	`pow1`
13×	`prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt`
9×	`associate-l` `distribute-lft-out`
8×	`add-cube-cbrt`
6×	`cbrt-undiv` `swap-sqr` `div-exp`
5×	`distribute-rgt-in` `distribute-lft-in` `associate-r`
4×	`pow-prod-down`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`*-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 → 148

Calls

3 calls:

31.0ms	(* (+ y x) (+ y x))
113.0ms	(* (+ (+ y x) 1.0) (* (+ y x) (+ y x)))
66.0ms	(/ (* x y) (* (+ (+ y x) 1.0) (* (+ y x) (+ y x))))

series353.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(* (+ y x) (+ y x))
80.0ms	(* (+ (+ y x) 1.0) (* (+ y x) (+ y x)))
245.0ms	(/ (* x y) (* (+ (+ y x) 1.0) (* (+ y x) (+ y x))))

simplify929.0ms

Counts

157 → 157

Iterations

Iter	Nodes
done	5000
1	879
0	228

prune713.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite274.0ms

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-r`
34×	`add-cbrt-cube` `add-exp-log`
28×	`associate-/r/`
24×	`associate-/l*`
21×	`associate-l`
14×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+` `div-inv`
13×	`associate-/r*`
6×	`pow1` `prod-exp` `cbrt-unprod` `unswap-sqr`
4×	`expm1-log1p-u` `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 → 318

Calls

4 calls:

46.0ms	(/ x (+ (+ x y) 1.0))
17.0ms	(/ y (+ x y))
24.0ms	(/ (/ y (+ x y)) (+ x y))
168.0ms	(* (/ x (+ (+ x y) 1.0)) (/ (/ y (+ x y)) (+ x y)))

series467.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(/ x (+ (+ x y) 1.0))
59.0ms	(/ y (+ x y))
96.0ms	(/ (/ y (+ x y)) (+ x y))
230.0ms	(* (/ x (+ (+ x y) 1.0)) (/ (/ y (+ x y)) (+ x y)))

simplify608.0ms

Counts

330 → 330

Iterations

Iter	Nodes
done	5001
1	1115
0	344

prune1.4s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ y x))
0.1b	(/ (* (/ (/ y (+ y x)) (+ y x)) x) (+ 1.0 (+ y x)))
0.1b	(/ (/ y (+ y x)) (+ y x))
9.0b	(* (/ (/ y (+ y x)) (+ y x)) x)

rewrite236.0ms

Algorithm

rewrite-expression-head

Rules

272×	`*-un-lft-identity` `times-frac`
135×	`add-sqr-sqrt`
126×	`add-cube-cbrt`
78×	`associate-l`
74×	`distribute-lft-out`
34×	`add-cbrt-cube` `add-exp-log`
26×	`associate-/r/`
22×	`associate-/l*`
14×	`cbrt-undiv` `div-exp`
13×	`associate-/r*` `flip3-+` `flip-+` `div-inv`
6×	`pow1` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-r` `unswap-sqr`
2×	`associate-*l/` `associate-/l/`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 284

Calls

4 calls:

18.0ms	(/ y (+ y x))
58.0ms	(/ (* (/ (/ y (+ y x)) (+ y x)) x) (+ 1.0 (+ y x)))
43.0ms	(/ (/ y (+ y x)) (+ y x))
92.0ms	(* (/ (/ y (+ y x)) (+ y x)) x)

series552.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(/ y (+ y x))
280.0ms	(/ (* (/ (/ y (+ y x)) (+ y x)) x) (+ 1.0 (+ y x)))
85.0ms	(/ (/ y (+ y x)) (+ y x))
134.0ms	(* (/ (/ y (+ y x)) (+ y x)) x)

simplify540.0ms

Counts

296 → 296

Iterations

Iter	Nodes
done	5000
1	866
0	309

prune1.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ y x))
0.1b	(* (* (/ (/ y (+ y x)) (+ y x)) x) (/ 1 (+ (+ 1.0 y) x)))
0.1b	(/ (/ y (+ y x)) (+ y x))
9.0b	(* (/ (/ y (+ y x)) (+ y x)) x)

rewrite334.0ms

Algorithm

rewrite-expression-head

Rules

284×	`*-un-lft-identity`
282×	`times-frac`
142×	`add-sqr-sqrt`
133×	`add-cube-cbrt`
80×	`add-exp-log`
79×	`associate-l`
77×	`distribute-lft-out`
52×	`add-cbrt-cube`
31×	`prod-exp`
27×	`div-exp`
26×	`associate-/r/`
24×	`associate-r`
21×	`associate-/l*`
17×	`cbrt-undiv` `cbrt-unprod`
13×	`flip3-+` `flip-+` `div-inv`
11×	`pow1`
8×	`associate-/r*`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `pow-prod-down` `associate-*l/` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
2×	`clear-num` `frac-2neg` `*-commutative`
1×	`frac-times` `associate-*r/` `un-div-inv` `associate-/l/`

Counts

4 → 312

Calls

4 calls:

10.0ms	(/ y (+ y x))
186.0ms	(* (* (/ (/ y (+ y x)) (+ y x)) x) (/ 1 (+ (+ 1.0 y) x)))
36.0ms	(/ (/ y (+ y x)) (+ y x))
86.0ms	(* (/ (/ y (+ y x)) (+ y x)) x)

series565.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(/ y (+ y x))
256.0ms	(* (* (/ (/ y (+ y x)) (+ y x)) x) (/ 1 (+ (+ 1.0 y) x)))
120.0ms	(/ (/ y (+ y x)) (+ y x))
129.0ms	(* (/ (/ y (+ y x)) (+ y x)) x)

simplify756.0ms

Counts

324 → 324

Iterations

Iter	Nodes
done	5000
1	1060
0	353

prune1.6s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes126.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	20
2	20
1	18
0	12

end1.0ms

sample797.0ms

Algorithm

intervals

Results

534.0ms

8000×

body

valid