Details

sample57.0ms

Algorithm

intervals

Results

27.0ms

256×

body

valid

simplify42.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	26
5	26
4	25
3	23
2	20
1	15
0	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
5.5b	(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite183.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
13×	`times-frac`
11×	`add-cube-cbrt`
4×	`associate-/r*` `add-cbrt-cube` `add-exp-log` `distribute-lft-out` `add-log-exp`
3×	`associate-/l*`
2×	`pow1` `associate-/r/` `insert-posit16` `difference-of-squares`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `flip3--` `diff-log` `div-exp` `flip-+` `div-inv` `flip--` `distribute-lft-out--`

Counts

2 → 50

Calls

2 calls:

95.0ms	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
87.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

series133.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
93.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify1.5s

Counts

56 → 56

Iterations

Iter	Nodes
done	5004
3	2746
2	837
1	279
0	118

prune193.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
0.1b	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
5.5b	(/ (+ 1.0 (/ (* x y) 2.0)) y)

rewrite494.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
105×	`*-un-lft-identity`
77×	`add-sqr-sqrt`
63×	`add-cube-cbrt`
22×	`associate-/r*`
18×	`distribute-lft-out`
16×	`add-exp-log`
13×	`associate-/l*`
12×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`div-exp`
7×	`div-inv`
5×	`add-log-exp` `difference-of-squares`
4×	`pow1` `cbrt-undiv` `clear-num` `associate-/l/`
3×	`frac-2neg` `insert-posit16` `remove-double-div`
2×	`rec-exp` `flip3-+` `1-exp` `flip-+` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `diff-log` `pow-flip` `flip--` `inv-pow`

Counts

3 → 157

Calls

3 calls:

222.0ms	(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
137.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
129.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

series200.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
86.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
67.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify1.5s

Counts

166 → 166

Iterations

Iter	Nodes
done	5001
2	1736
1	597
0	236

prune573.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (/ 1 (+ (/ 1.0 y) (* 0.5 x))))
0.1b	(/ 1 (+ (/ 1.0 y) (* 0.5 x)))

rewrite190.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-un-lft-identity`
19×	`add-sqr-sqrt`
17×	`times-frac`
12×	`add-cube-cbrt`
8×	`distribute-lft-out`
6×	`add-exp-log`
5×	`associate-/r*`
4×	`add-cbrt-cube` `associate-l` `add-log-exp`
3×	`pow1` `associate-/l*` `difference-of-squares`
2×	`div-exp` `associate-/r/` `insert-posit16` `div-inv` `distribute-lft-out--`
1×	`cbrt-undiv` `rec-exp` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `flip3--` `diff-log` `1-exp` `flip-+` `pow-flip` `flip--` `inv-pow`

Counts

2 → 60

Calls

2 calls:

109.0ms	(- x (/ 1 (+ (/ 1.0 y) (* 0.5 x))))
78.0ms	(/ 1 (+ (/ 1.0 y) (* 0.5 x)))

series100.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(- x (/ 1 (+ (/ 1.0 y) (* 0.5 x))))
63.0ms	(/ 1 (+ (/ 1.0 y) (* 0.5 x)))

simplify1.7s

Counts

66 → 66

Iterations

Iter	Nodes
done	5023
3	2810
2	852
1	281
0	119

prune173.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (- 1.0 (/ (* x y) 2.0))))
0.3b	(* (/ (* x y) 2.0) (/ (* x y) 2.0))
3.3b	(/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))))
13.5b	(* (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (- 1.0 (/ (* x y) 2.0)))

rewrite7.3s

Algorithm

rewrite-expression-head

Rules

3789×	`add-sqr-sqrt`
1470×	`times-frac`
1070×	`unswap-sqr`
756×	`difference-of-squares`
570×	`*-un-lft-identity`
502×	`frac-times`
493×	`associate-l`
470×	`associate-/l*`
446×	`associate-/r*`
430×	`add-cube-cbrt`
366×	`swap-sqr`
252×	`*-commutative`
197×	`associate-r`
107×	`associate-*l/`
93×	`flip3--` `flip--`
53×	`distribute-lft-out--`
47×	`add-cbrt-cube` `add-exp-log`
43×	`clear-num`
42×	`frac-2neg`
20×	`associate-*r/`
17×	`prod-exp` `cbrt-unprod`
14×	`cbrt-undiv` `div-exp`
13×	`pow1`
6×	`div-inv` `add-log-exp`
5×	`sub-neg`
4×	`distribute-rgt-in` `distribute-lft-in` `associate-/r/` `insert-posit16` `associate--r+`
3×	`un-div-inv`
2×	`pow-prod-down`
1×	`pow2` `pow-plus` `diff-log` `pow-sqr` `pow-prod-up`

Counts

4 → 1453

Calls

4 calls:

3.7s	(- x (* (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (- 1.0 (/ (* x y) 2.0))))
179.0ms	(* (/ (* x y) 2.0) (/ (* x y) 2.0))
686.0ms	(/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))))
2.5s	(* (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (- 1.0 (/ (* x y) 2.0)))

series436.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(- x (* (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (- 1.0 (/ (* x y) 2.0))))
51.0ms	(* (/ (* x y) 2.0) (/ (* x y) 2.0))
67.0ms	(/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0))))
187.0ms	(* (/ y (- (* 1.0 1.0) (* (/ (* x y) 2.0) (/ (* x y) 2.0)))) (- 1.0 (/ (* x y) 2.0)))

simplify2.2s

Counts

1465 → 1465

Iterations

Iter	Nodes
done	5000
0	1535

prune6.0s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes49.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	14
1	14
0	10

end0.0ms

sample1.1s

Algorithm

intervals

Results

890.0ms

8000×

body

valid