Details

sample17.0ms

Algorithm

intervals

Results

6.0ms

290×

body

valid

simplify3.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
10	2509
9	460
8	155
7	113
6	93
5	85
4	71
3	43
2	19
1	10
0	6

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ x 1.0) y)
0.0b	(- (* (+ x 1.0) y) x)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-cbrt-cube` `associate-l` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/`
1×	`sub-neg` `flip3-+` `flip3--` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `flip--` `distribute-lft-out` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

26.0ms	(* (+ x 1.0) y)
10.0ms	(- (* (+ x 1.0) y) x)

series88.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(* (+ x 1.0) y)
37.0ms	(- (* (+ x 1.0) y) x)

simplify462.0ms

Counts

39 → 39

Iterations

Iter	Nodes
done	5001
2	645
1	154
0	63

prune182.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
18×	`sqrt-div`
17×	`add-sqr-sqrt` `sqrt-prod`
14×	`associate-l`
13×	`pow1`
11×	`add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
10×	`associate-*l/`
9×	`flip3-+` `flip-+`
4×	`frac-times` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `distribute-lft-out` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-r/` `-commutative` `unswap-sqr`

Counts

4 → 87

Calls

4 calls:

11.0ms	(sqrt (+ x 1.0))
6.0ms	(sqrt (+ 1.0 x))
18.0ms	(* (sqrt (+ 1.0 x)) y)
57.0ms	(* (sqrt (+ x 1.0)) (* (sqrt (+ 1.0 x)) y))

series262.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(sqrt (+ x 1.0))
35.0ms	(sqrt (+ 1.0 x))
134.0ms	(* (sqrt (+ 1.0 x)) y)
38.0ms	(* (sqrt (+ x 1.0)) (* (sqrt (+ 1.0 x)) y))

simplify898.0ms

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
2	1557
1	363
0	153

prune481.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

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

rewrite271.0ms

Algorithm

rewrite-expression-head

Rules

120×	`sqrt-div`
99×	`sqrt-prod`
57×	`add-sqr-sqrt`
43×	`pow1`
39×	`*-un-lft-identity`
36×	`sqrt-pow1` `associate-*l/`
35×	`flip3-+` `flip-+`
32×	`frac-times`
21×	`add-cube-cbrt`
20×	`add-cbrt-cube` `add-exp-log`
18×	`pow1/2` `swap-sqr` `associate-l`
14×	`associate-r` `pow-prod-down`
11×	`unswap-sqr`
10×	`prod-exp` `associate-*r/` `cbrt-unprod`
9×	`pow-prod-up`
8×	`distribute-lft-out`
5×	`pow-sqr`
4×	`add-log-exp`
3×	`*-commutative`
2×	`rem-sqrt-square`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod`

Counts

4 → 183

Calls

4 calls:

13.0ms	(sqrt (sqrt (+ 1.0 x)))
20.0ms	(* (sqrt (+ 1.0 x)) y)
155.0ms	(* (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (* (sqrt (+ 1.0 x)) y))
65.0ms	(* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))))

series396.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(sqrt (sqrt (+ 1.0 x)))
148.0ms	(* (sqrt (+ 1.0 x)) y)
52.0ms	(* (* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (* (sqrt (+ 1.0 x)) y))
59.0ms	(* (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))))

simplify3.2s

Counts

195 → 195

Iterations

Iter	Nodes
done	5000
2	4114
1	739
0	273

prune834.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* y (* (+ x 1.0) (- x 1.0))) (- x 1.0)) x)
0.0b	(* (+ x 1.0) (- x 1.0))
3.8b	(* y (* (+ x 1.0) (- x 1.0)))
8.8b	(/ (* y (* (+ x 1.0) (- x 1.0))) (- x 1.0))

rewrite272.0ms

Algorithm

rewrite-expression-head

Rules

22×	`associate-*r/`
20×	`add-cbrt-cube` `add-exp-log`
19×	`add-sqr-sqrt` `*-un-lft-identity`
12×	`frac-times`
11×	`pow1` `flip3--` `flip--`
10×	`distribute-rgt-in` `distribute-lft-in`
9×	`flip3-+` `add-cube-cbrt` `flip-+`
8×	`associate-/l/`
7×	`sub-neg` `associate-l` `prod-exp` `cbrt-unprod`
6×	`associate-r` `associate-*l/` `add-log-exp`
5×	`associate-/r*` `times-frac`
4×	`pow-prod-down` `distribute-lft-out--` `difference-of-squares`
3×	`cbrt-undiv` `div-exp`
2×	`associate-/r/` `*-commutative`
1×	`clear-num` `frac-2neg` `diff-log` `div-inv` `distribute-lft-out` `associate-/l*` `unswap-sqr`

Counts

4 → 118

Calls

4 calls:

95.0ms	(- (/ (* y (* (+ x 1.0) (- x 1.0))) (- x 1.0)) x)
35.0ms	(* (+ x 1.0) (- x 1.0))
60.0ms	(* y (* (+ x 1.0) (- x 1.0)))
74.0ms	(/ (* y (* (+ x 1.0) (- x 1.0))) (- x 1.0))

series301.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(- (/ (* y (* (+ x 1.0) (- x 1.0))) (- x 1.0)) x)
109.0ms	(* (+ x 1.0) (- x 1.0))
112.0ms	(* y (* (+ x 1.0) (- x 1.0)))
45.0ms	(/ (* y (* (+ x 1.0) (- x 1.0))) (- x 1.0))

simplify1.7s

Counts

130 → 130

Iterations

Iter	Nodes
done	5000
2	3842
1	535
0	173

prune520.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes136.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	8
1	8
0	6

end0.0ms

sample703.0ms

Algorithm

intervals

Results

397.0ms	9177×	body	80	valid
0.0ms	3×	body	1280	valid
0.0ms	1×	body	160	valid