Details

sample30.0ms

Algorithm

intervals

Results

8.0ms	187×	body	80	valid
4.0ms	30×	body	640	valid
2.0ms	14×	body	1280	valid
2.0ms	18×	body	320	valid
0.0ms	7×	body	160	valid

simplify947.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.8b

localize8.0ms

Local error

Found 2 expressions with local error:

2.2b	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
6.1b	(/ (* (- 1.0 x) y) (+ y 1.0))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

18.0ms	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
31.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))

series143.0ms

Counts

2 → 6

Calls

2 calls:

91.0ms	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
52.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))

simplify552.0ms

Counts: 47 → 47

prune117.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) (/ y (+ y 1.0)))
2.2b	(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 55

Calls

2 calls:

77.0ms	(* (- 1.0 x) (/ y (+ y 1.0)))
11.0ms	(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

series201.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(* (- 1.0 x) (/ y (+ y 1.0)))
126.0ms	(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

simplify661.0ms

Counts: 61 → 61

prune160.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize18.0ms

Local error

Found 4 expressions with local error:

6.1b	(/ (* (- 1.0 x) y) (+ y 1.0))
6.1b	(/ (* (- 1.0 x) y) (+ y 1.0))
6.1b	(/ (* (- 1.0 x) y) (+ y 1.0))
7.8b	(/ (- (* 1.0 1.0) (* (/ (* (- 1.0 x) y) (+ y 1.0)) (/ (* (- 1.0 x) y) (+ y 1.0)))) (+ 1.0 (/ (* (- 1.0 x) y) (+ y 1.0))))

rewrite226.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 122

Calls

4 calls:

46.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
23.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
42.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
108.0ms	(/ (- (* 1.0 1.0) (* (/ (* (- 1.0 x) y) (+ y 1.0)) (/ (* (- 1.0 x) y) (+ y 1.0)))) (+ 1.0 (/ (* (- 1.0 x) y) (+ y 1.0))))

series757.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
74.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
73.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
546.0ms	(/ (- (* 1.0 1.0) (* (/ (* (- 1.0 x) y) (+ y 1.0)) (/ (* (- 1.0 x) y) (+ y 1.0)))) (+ 1.0 (/ (* (- 1.0 x) y) (+ y 1.0))))

simplify962.0ms

Counts: 134 → 134

prune488.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.2b

localize30.0ms

Local error

Found 4 expressions with local error:

6.1b	(/ (* (- 1.0 x) y) (+ y 1.0))
6.1b	(/ (* (- 1.0 x) y) (+ y 1.0))
6.1b	(/ (* (- 1.0 x) y) (+ y 1.0))
6.1b	(/ (* (- 1.0 x) y) (+ y 1.0))

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
24×	`add-exp-log` `add-cbrt-cube`
16×	`times-frac` `associate-/r*`
12×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`cbrt-undiv` `div-exp` `associate-*l/` `associate-/r/` `associate-/l/` `distribute-lft-out`
4×	`pow1` `flip3--` `frac-2neg` `flip3-+` `prod-exp` `clear-num` `flip--` `cbrt-unprod` `flip-+` `div-inv` `associate-/l*` `add-log-exp`

Counts

4 → 108

Calls

4 calls:

33.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
51.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
31.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
29.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))

series250.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
80.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
52.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
61.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))

simplify506.0ms

Counts: 120 → 120

prune522.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.2b

regimes304.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.2b against oracle of 0.2b and baseline of 14.3b

bsearch121.0ms

Steps

Iters	Range		Point
10	64828.07766974042	6.840962601270207e+17	181209685.54271904
4	-142867131171.3709	-100850330494.94238	-102078540239.5281

simplify1.3s

end0.0ms

sample1.1s

Algorithm

intervals

Results

430.0ms	6106×	body	80	valid
169.0ms	752×	body	640	valid
89.0ms	370×	body	1280	valid
68.0ms	486×	body	320	valid
62.0ms	286×	body	160	valid