Details

sample38.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify65.0ms

Counts

1 → 1

Iterations

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (/ (* x y) 2.0))
0.0b	(/ (* x y) 2.0)
8.3b	(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
15×	`times-frac`
14×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`add-cbrt-cube` `add-exp-log`
7×	`associate-/r*`
5×	`distribute-lft-out` `add-log-exp`
4×	`associate-/l*`
3×	`pow1` `cbrt-undiv` `div-exp` `insert-posit16`
2×	`clear-num` `frac-2neg` `flip3-+` `associate-/r/` `flip-+` `div-inv`
1×	`+-commutative` `sum-log` `prod-exp` `cbrt-unprod`

Counts

3 → 69

Calls

3 calls:

12.0ms	(+ 1.0 (/ (* x y) 2.0))
12.0ms	(/ (* x y) 2.0)
22.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

series169.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(+ 1.0 (/ (* x y) 2.0))
28.0ms	(/ (* x y) 2.0)
95.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify2.4s

Counts

78 → 78

Iterations

Iter	Nodes
done	5000
2	1222
1	341
0	139

prune800.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (/ x (/ 2.0 y)))
0.2b	(/ x (/ 2.0 y))
8.3b	(/ y (+ 1.0 (/ x (/ 2.0 y))))

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

87×	`times-frac`
64×	`*-un-lft-identity`
54×	`add-sqr-sqrt` `add-cube-cbrt`
17×	`associate-/r*`
10×	`add-cbrt-cube` `add-exp-log`
6×	`div-inv` `associate-/l*`
5×	`distribute-lft-out` `add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `associate-/r/` `insert-posit16`
2×	`clear-num` `frac-2neg` `flip3-+` `flip-+`
1×	`+-commutative` `sum-log`

Counts

3 → 118

Calls

3 calls:

53.0ms	(+ 1.0 (/ x (/ 2.0 y)))
12.0ms	(/ x (/ 2.0 y))
96.0ms	(/ y (+ 1.0 (/ x (/ 2.0 y))))

series260.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(+ 1.0 (/ x (/ 2.0 y)))
34.0ms	(/ x (/ 2.0 y))
144.0ms	(/ y (+ 1.0 (/ x (/ 2.0 y))))

simplify3.3s

Counts

127 → 127

Iterations

Iter	Nodes
done	5001
2	1867
1	579
0	236

prune1.5s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (/ (* x y) 2.0))
0.0b	(/ (* x y) 2.0)
0.3b	(/ 1 (+ 1.0 (/ (* x y) 2.0)))
8.0b	(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

rewrite194.0ms

Algorithm

rewrite-expression-head

Rules

41×	`*-un-lft-identity`
31×	`add-sqr-sqrt`
29×	`times-frac`
24×	`add-cube-cbrt`
22×	`add-exp-log`
18×	`associate-r`
16×	`add-cbrt-cube`
8×	`distribute-lft-out`
7×	`pow1` `associate-/r*`
6×	`div-exp` `add-log-exp`
5×	`prod-exp`
4×	`cbrt-undiv` `associate-/r/` `insert-posit16` `associate-/l*`
3×	`flip3-+` `associate-l` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp`
1×	`+-commutative` `sum-log` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `inv-pow`

Counts

4 → 115

Calls

4 calls:

24.0ms	(+ 1.0 (/ (* x y) 2.0))
20.0ms	(/ (* x y) 2.0)
23.0ms	(/ 1 (+ 1.0 (/ (* x y) 2.0)))
112.0ms	(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

series340.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(+ 1.0 (/ (* x y) 2.0))
46.0ms	(/ (* x y) 2.0)
107.0ms	(/ 1 (+ 1.0 (/ (* x y) 2.0)))
130.0ms	(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

simplify3.2s

Counts

127 → 127

Iterations

Iter	Nodes
done	5002
2	1717
1	491
0	190

prune1.2s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1 (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))))
0.4b	(/ x (sqrt 2.0))
0.4b	(/ y (sqrt 2.0))
8.0b	(* y (/ 1 (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0))))))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

57×	`add-sqr-sqrt`
56×	`times-frac`
51×	`*-un-lft-identity`
50×	`add-cube-cbrt`
24×	`sqrt-prod`
21×	`add-exp-log`
15×	`associate-/r` `add-cbrt-cube` `associate-r*`
9×	`associate-/l*`
7×	`pow1`
6×	`div-exp`
4×	`cbrt-undiv` `prod-exp` `associate-/r/` `insert-posit16` `div-inv` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-l` `unswap-sqr`
2×	`rec-exp` `flip3-+` `1-exp` `cbrt-unprod` `flip-+`
1×	`pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `inv-pow`

Counts

4 → 153

Calls

4 calls:

24.0ms	(/ 1 (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))))
9.0ms	(/ x (sqrt 2.0))
8.0ms	(/ y (sqrt 2.0))
43.0ms	(* y (/ 1 (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0))))))

series1.2s

Counts

4 → 12

Calls

4 calls:

453.0ms	(/ 1 (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))))
67.0ms	(/ x (sqrt 2.0))
78.0ms	(/ y (sqrt 2.0))
569.0ms	(* y (/ 1 (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0))))))

simplify3.8s

Counts

165 → 165

Iterations

Iter	Nodes
done	5001
2	1808
1	564
0	247

prune1.6s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes551.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	11
1	11
0	9

end0.0ms

sample777.0ms

Algorithm

intervals

Results

511.0ms	7997×	body	80	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	160	valid
0.0ms	1×	body	320	valid