Details

sample52.0ms

Algorithm

intervals

Results

16.0ms	182×	body	80	valid
8.0ms	22×	body	640	valid
7.0ms	16×	body	1280	valid
6.0ms	22×	body	320	valid
2.0ms	14×	body	160	valid

simplify1.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	1686
5	419
4	152
3	74
2	35
1	16
0	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.1b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- 1.0 x) y)
3.8b	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
6.5b	(/ (* (- 1.0 x) y) (+ y 1.0))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 66

Calls

3 calls:

24.0ms	(* (- 1.0 x) y)
18.0ms	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
17.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))

series229.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(* (- 1.0 x) y)
108.0ms	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
72.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))

simplify1.3s

Counts

75 → 75

Iterations

Iter	Nodes
done	5001
2	2052
1	350
0	131

prune317.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
28×	`add-sqr-sqrt`
25×	`times-frac`
21×	`add-cube-cbrt`
18×	`associate-r`
10×	`add-cbrt-cube` `add-exp-log`
7×	`distribute-lft-out`
5×	`pow1` `associate-l` `add-log-exp`
4×	`associate-/r*` `associate-/r/`
3×	`flip3--` `insert-posit16` `flip--` `associate-/l*`
2×	`frac-times` `cbrt-undiv` `flip3-+` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`
1×	`clear-num` `sub-neg` `frac-2neg` `diff-log` `pow-prod-down` `associate-r/` `-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 91

Calls

3 calls:

7.0ms	(/ y (+ y 1.0))
28.0ms	(* (- 1.0 x) (/ y (+ y 1.0)))
4.0ms	(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

series177.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(/ y (+ y 1.0))
46.0ms	(* (- 1.0 x) (/ y (+ y 1.0)))
78.0ms	(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

simplify1.6s

Counts

100 → 100

Iterations

Iter	Nodes
done	5000
2	2493
1	427
0	160

prune346.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ y 1.0))
0.0b	(* (- 1.0 x) (* y (/ 1 (+ y 1.0))))
0.1b	(* y (/ 1 (+ y 1.0)))
5.3b	(- 1.0 (* (- 1.0 x) (* y (/ 1 (+ y 1.0)))))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
32×	`add-sqr-sqrt` `add-exp-log`
26×	`times-frac`
23×	`add-cube-cbrt`
20×	`add-cbrt-cube`
19×	`associate-r`
13×	`prod-exp`
12×	`pow1`
8×	`associate-l`
7×	`cbrt-unprod` `distribute-lft-out`
6×	`div-exp` `associate-*r/` `add-log-exp`
4×	`frac-times` `associate-/r*` `flip3--` `pow-prod-down` `associate-/r/` `un-div-inv` `insert-posit16` `flip--`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*` `unswap-sqr`
2×	`flip3-+` `associate-l/` `-commutative` `flip-+` `div-inv`
1×	`clear-num` `sub-neg` `frac-2neg` `diff-log` `pow-flip` `distribute-lft-out--` `inv-pow` `difference-of-squares`

Counts

4 → 126

Calls

4 calls:

16.0ms	(/ 1 (+ y 1.0))
57.0ms	(* (- 1.0 x) (* y (/ 1 (+ y 1.0))))
17.0ms	(* y (/ 1 (+ y 1.0)))
7.0ms	(- 1.0 (* (- 1.0 x) (* y (/ 1 (+ y 1.0)))))

series220.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(/ 1 (+ y 1.0))
62.0ms	(* (- 1.0 x) (* y (/ 1 (+ y 1.0))))
35.0ms	(* y (/ 1 (+ y 1.0)))
87.0ms	(- 1.0 (* (- 1.0 x) (* y (/ 1 (+ y 1.0)))))

simplify1.7s

Counts

138 → 138

Iterations

Iter	Nodes
done	5001
2	2713
1	529
0	195

prune373.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`*-un-lft-identity`
2×	`add-sqr-sqrt` `pow1` `sum-log` `flip3-+` `add-cbrt-cube` `diff-log` `associate-*l/` `add-exp-log` `frac-sub` `add-cube-cbrt` `flip-+` `insert-posit16`
1×	`+-commutative` `sub-neg` `flip3--` `associate--l+` `flip--` `distribute-lft-out`

Counts

2 → 30

Calls

2 calls:

39.0ms	(- (+ x (/ 1.0 y)) (* (/ x y) 1.0))
14.0ms	(+ x (/ 1.0 y))

series67.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(- (+ x (/ 1.0 y)) (* (/ x y) 1.0))
34.0ms	(+ x (/ 1.0 y))

simplify945.0ms

Counts

36 → 36

Iterations

Iter	Nodes
done	5001
2	1011
1	187
0	67

prune138.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.2b

regimes252.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 15.3b

bsearch129.0ms

Steps

Iters	Range		Point
9	36490366.14863611	15566571802657796.0	159075929.13207832
9	-209901990.47645873	-1763.0658270955876	-100315004.67027035

simplify4.0ms

Iterations

Iter	Nodes
done	31
1	31
0	21

end0.0ms

sample1.5s

Algorithm

intervals

Results

493.0ms	5988×	body	80	valid
463.0ms	388×	body	1280	valid
229.0ms	763×	body	640	valid
107.0ms	547×	body	320	valid
67.0ms	314×	body	160	valid