Details

sample27.0ms

Algorithm

intervals

Results

18.0ms

256×

body

valid

simplify17.0ms

Counts

1 → 1

Iterations

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
0.0b	(+ 1.0 (/ (* x y) 2.0))
0.0b	(/ (* x y) 2.0)
5.9b	(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

27×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
16×	`times-frac`
15×	`add-cube-cbrt`
11×	`add-cbrt-cube` `add-exp-log`
8×	`add-log-exp`
7×	`associate-/r*`
5×	`distribute-lft-out`
4×	`pow1` `insert-posit16` `associate-/l*`
3×	`cbrt-undiv` `div-exp`
2×	`clear-num` `frac-2neg` `flip3-+` `associate-/r/` `flip-+` `div-inv` `difference-of-squares`
1×	`+-commutative` `sum-log` `sub-neg` `flip3--` `diff-log` `prod-exp` `cbrt-unprod` `flip--` `distribute-lft-out--`

Counts

4 → 85

Calls

4 calls:

14.0ms	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
10.0ms	(+ 1.0 (/ (* x y) 2.0))
9.0ms	(/ (* x y) 2.0)
10.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

series207.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
47.0ms	(+ 1.0 (/ (* x y) 2.0))
29.0ms	(/ (* x y) 2.0)
78.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify1.1s

Counts

97 → 97

Iterations

Iter	Nodes
done	5004
2	1336
1	407
0	166

prune381.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
0.0b	(/ (* x y) 2.0)
0.1b	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
5.8b	(/ (+ 1.0 (/ (* x y) 2.0)) y)

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

117×	`times-frac`
101×	`*-un-lft-identity`
78×	`add-sqr-sqrt`
64×	`add-cube-cbrt`
22×	`associate-/r*` `add-exp-log`
16×	`add-cbrt-cube` `distribute-lft-out`
10×	`div-exp`
8×	`div-inv` `associate-/l*`
6×	`cbrt-undiv` `add-log-exp`
5×	`pow1` `difference-of-squares`
4×	`insert-posit16`
3×	`clear-num` `frac-2neg`
2×	`rec-exp` `1-exp` `distribute-lft-out--` `associate-/l/`
1×	`sub-neg` `flip3-+` `flip3--` `diff-log` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `pow-flip` `flip--` `inv-pow`

Counts

4 → 165

Calls

4 calls:

18.0ms	(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
16.0ms	(/ (* x y) 2.0)
17.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
30.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

series214.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
31.0ms	(/ (* x y) 2.0)
76.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
56.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify1.4s

Counts

177 → 177

Iterations

Iter	Nodes
done	5001
2	2078
1	676
0	264

prune562.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ (* x y) 2.0) 1.0)
0.0b	(/ (* x y) 2.0)
0.4b	(/ 1 (+ (/ (* x y) 2.0) 1.0))
5.4b	(* (/ 1 (+ (/ (* x y) 2.0) 1.0)) y)

rewrite79.0ms

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-l`
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-r` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp`
1×	`+-commutative` `sum-log` `pow-prod-down` `associate-l/` `-commutative` `pow-flip` `inv-pow`

Counts

4 → 114

Calls

4 calls:

12.0ms	(+ (/ (* x y) 2.0) 1.0)
9.0ms	(/ (* x y) 2.0)
17.0ms	(/ 1 (+ (/ (* x y) 2.0) 1.0))
39.0ms	(* (/ 1 (+ (/ (* x y) 2.0) 1.0)) y)

series200.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ (/ (* x y) 2.0) 1.0)
21.0ms	(/ (* x y) 2.0)
61.0ms	(/ 1 (+ (/ (* x y) 2.0) 1.0))
82.0ms	(* (/ 1 (+ (/ (* x y) 2.0) 1.0)) y)

simplify1.2s

Counts

126 → 126

Iterations

Iter	Nodes
done	5001
2	1631
1	493
0	191

prune492.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

5.4b	(* (/ 1 (* (* (cbrt (+ (/ (* x y) 2.0) 1.0)) (cbrt (+ (/ (* x y) 2.0) 1.0))) (cbrt (+ (/ (* x y) 2.0) 1.0)))) y)
6.0b	(cbrt (+ (/ (* x y) 2.0) 1.0))
6.0b	(cbrt (+ (/ (* x y) 2.0) 1.0))
6.0b	(cbrt (+ (/ (* x y) 2.0) 1.0))

rewrite866.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
36×	`add-exp-log`
33×	`associate-l`
30×	`flip3-+` `flip-+`
28×	`frac-times`
26×	`associate-/r/`
19×	`prod-exp`
16×	`*-un-lft-identity`
15×	`associate-*l/`
14×	`add-cbrt-cube`
12×	`cbrt-prod` `add-sqr-sqrt`
10×	`add-cube-cbrt`
8×	`associate-*r/`
7×	`cbrt-unprod`
6×	`pow1` `div-exp`
4×	`insert-posit16` `add-log-exp`
3×	`cbrt-undiv` `rec-exp` `times-frac` `pow1/3` `1-exp` `associate-r` `distribute-lft-out`
1×	`pow-prod-down` `*-commutative` `div-inv` `unswap-sqr`

Counts

4 → 107

Calls

4 calls:

838.0ms	(* (/ 1 (* (* (cbrt (+ (/ (* x y) 2.0) 1.0)) (cbrt (+ (/ (* x y) 2.0) 1.0))) (cbrt (+ (/ (* x y) 2.0) 1.0)))) y)
10.0ms	(cbrt (+ (/ (* x y) 2.0) 1.0))
7.0ms	(cbrt (+ (/ (* x y) 2.0) 1.0))
7.0ms	(cbrt (+ (/ (* x y) 2.0) 1.0))

series1.1s

Counts

4 → 12

Calls

4 calls:

81.0ms	(* (/ 1 (* (* (cbrt (+ (/ (* x y) 2.0) 1.0)) (cbrt (+ (/ (* x y) 2.0) 1.0))) (cbrt (+ (/ (* x y) 2.0) 1.0)))) y)
348.0ms	(cbrt (+ (/ (* x y) 2.0) 1.0))
357.0ms	(cbrt (+ (/ (* x y) 2.0) 1.0))
341.0ms	(cbrt (+ (/ (* x y) 2.0) 1.0))

simplify2.0s

Counts

119 → 119

Iterations

Iter	Nodes
done	5003
2	1700
1	552
0	207

prune1.2s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes89.0ms

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	15
1	15
0	11

end0.0ms

sample1.0s

Algorithm

intervals

Results

830.0ms

8000×

body

valid