Details

sample49.0ms

Algorithm

intervals

Results

34.0ms

256×

body

valid

simplify2.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5011
4	2278
3	579
2	148
1	36
0	9

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.0b

localize35.0ms

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)))

rewrite900.0ms

Algorithm

rewrite-expression-head

Rules

492×	`*-un-lft-identity`
454×	`add-sqr-sqrt`
448×	`associate-l`
420×	`times-frac`
238×	`associate-r`
212×	`add-cube-cbrt`
135×	`unswap-sqr`
132×	`distribute-lft-out`
104×	`swap-sqr`
79×	`*-commutative`
60×	`frac-times` `flip3-+` `flip-+`
35×	`associate-/r*`
31×	`add-cbrt-cube` `add-exp-log`
30×	`associate-*l/`
26×	`associate-/r/`
18×	`associate-*r/`
15×	`pow1`
13×	`prod-exp` `cbrt-unprod`
12×	`associate-/l*`
6×	`distribute-rgt-in` `cbrt-undiv` `+-commutative` `distribute-lft-in` `div-exp`
4×	`associate-+l+` `pow-prod-down`
3×	`insert-posit16` `add-log-exp`
1×	`pow2` `clear-num` `frac-2neg` `pow-plus` `pow-sqr` `pow-prod-up` `div-inv`

Counts

3 → 638

Calls

3 calls:

53.0ms	(* (+ x y) (+ x y))
288.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
512.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series380.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(* (+ x y) (+ x y))
84.0ms	(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
264.0ms	(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify2.1s

Counts

647 → 647

Iterations

Iter	Nodes
done	5006
1	2647
0	684

prune2.4s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite582.0ms

Algorithm

rewrite-expression-head

Rules

847×	`*-un-lft-identity`
489×	`times-frac`
374×	`add-sqr-sqrt`
371×	`associate-/l*`
360×	`frac-times`
353×	`add-cube-cbrt`
270×	`distribute-lft-out`
264×	`associate-/r*`
122×	`associate-/l/`
96×	`associate-r`
65×	`clear-num`
63×	`frac-2neg`
54×	`associate-/r/`
36×	`associate-*r/`
34×	`add-cbrt-cube` `add-exp-log`
27×	`flip3-+` `flip-+` `div-inv`
18×	`associate-l`
14×	`cbrt-undiv` `div-exp`
10×	`associate-*l/`
6×	`pow1` `prod-exp` `cbrt-unprod` `unswap-sqr`
4×	`un-div-inv` `insert-posit16` `add-log-exp`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 760

Calls

4 calls:

12.0ms	(/ y (+ y x))
11.0ms	(/ x (+ y x))
400.0ms	(* (/ y (+ y x)) (/ (/ x (+ y x)) (+ (+ y x) 1.0)))
94.0ms	(/ (/ x (+ y x)) (+ (+ y x) 1.0))

series592.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(/ y (+ y x))
59.0ms	(/ x (+ y x))
290.0ms	(* (/ y (+ y x)) (/ (/ x (+ y x)) (+ (+ y x) 1.0)))
185.0ms	(/ (/ x (+ y x)) (+ (+ y x) 1.0))

simplify2.2s

Counts

772 → 772

Iterations

Iter	Nodes
done	5006
1	2702
0	754

prune2.7s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (+ (+ y x) 1.0)) (cbrt (+ (+ y x) 1.0)))
0.5b	(cbrt (+ (+ y x) 1.0))
0.5b	(cbrt (+ (+ y x) 1.0))
0.5b	(cbrt (+ (+ y x) 1.0))

rewrite358.0ms

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity`
51×	`cbrt-prod`
33×	`distribute-lft-out`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
14×	`swap-sqr`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`add-cbrt-cube` `associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `cbrt-unprod` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 112

Calls

4 calls:

276.0ms	(* (cbrt (+ (+ y x) 1.0)) (cbrt (+ (+ y x) 1.0)))
16.0ms	(cbrt (+ (+ y x) 1.0))
23.0ms	(cbrt (+ (+ y x) 1.0))
35.0ms	(cbrt (+ (+ y x) 1.0))

series594.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(* (cbrt (+ (+ y x) 1.0)) (cbrt (+ (+ y x) 1.0)))
146.0ms	(cbrt (+ (+ y x) 1.0))
143.0ms	(cbrt (+ (+ y x) 1.0))
150.0ms	(cbrt (+ (+ y x) 1.0))

simplify2.1s

Counts

124 → 124

Iterations

Iter	Nodes
done	5000
3	2576
2	892
1	335
0	135

prune686.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (+ y x) y) (* (+ (+ y x) 1.0) (/ (+ y x) x)))
0.0b	(/ (+ y x) y)
0.1b	(* (+ (+ y x) 1.0) (/ (+ y x) x))
0.6b	(/ 1 (* (/ (+ y x) y) (* (+ (+ y x) 1.0) (/ (+ y x) x))))

rewrite2.7s

Algorithm

rewrite-expression-head

Rules

1632×	`frac-times`
1017×	`*-un-lft-identity`
721×	`associate-/l*`
637×	`add-sqr-sqrt`
553×	`associate-/r*`
545×	`associate-/r/`
517×	`flip3-+` `flip-+`
502×	`add-cube-cbrt`
406×	`associate-*r/`
340×	`times-frac`
332×	`associate-/l/`
247×	`distribute-lft-out`
236×	`associate-r`
194×	`clear-num`
167×	`frac-2neg`
110×	`associate-l`
105×	`add-exp-log`
81×	`un-div-inv`
78×	`associate-*l/`
62×	`unswap-sqr`
61×	`add-cbrt-cube`
42×	`prod-exp`
36×	`div-exp`
22×	`cbrt-unprod`
19×	`cbrt-undiv`
17×	`pow1`
13×	`div-inv`
11×	`*-commutative`
7×	`rec-exp` `1-exp` `pow-prod-down`
4×	`insert-posit16` `add-log-exp`
3×	`pow-flip`
1×	`inv-pow`

Counts

4 → 1541

Calls

4 calls:

732.0ms	(* (/ (+ y x) y) (* (+ (+ y x) 1.0) (/ (+ y x) x)))
42.0ms	(/ (+ y x) y)
221.0ms	(* (+ (+ y x) 1.0) (/ (+ y x) x))
1.6s	(/ 1 (* (/ (+ y x) y) (* (+ (+ y x) 1.0) (/ (+ y x) x))))

series507.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(* (/ (+ y x) y) (* (+ (+ y x) 1.0) (/ (+ y x) x)))
28.0ms	(/ (+ y x) y)
80.0ms	(* (+ (+ y x) 1.0) (/ (+ y x) x))
267.0ms	(/ 1 (* (/ (+ y x) y) (* (+ (+ y x) 1.0) (/ (+ y x) x))))

simplify2.4s

Counts

1553 → 1553

Iterations

Iter	Nodes
done	5000
0	1568

prune6.8s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes87.0ms

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	12
1	12
0	9

end0.0ms

sample1.1s

Algorithm

intervals

Results

974.0ms

8000×

body

valid