Details

sample21.0ms

Algorithm

intervals

Results

7.0ms	197×	body	80	valid
2.0ms	18×	body	640	valid
2.0ms	24×	body	320	valid
2.0ms	11×	body	1280	valid
0.0ms	6×	body	160	valid

simplify2.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
14	4122
13	3069
12	2474
11	2032
10	1843
9	1602
8	1334
7	972
6	535
5	248
4	118
3	71
2	33
1	16
0	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.1b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- 1.0 x) y)
1.5b	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
6.1b	(/ (* (- 1.0 x) y) (+ y 1.0))

rewrite78.0ms

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:

21.0ms	(* (- 1.0 x) y)
20.0ms	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
36.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))

series167.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(* (- 1.0 x) y)
76.0ms	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
55.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))

simplify967.0ms

Counts

75 → 75

Iterations

Iter	Nodes
done	5000
2	1305
1	349
0	131

prune263.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (+ y 1.0))
0.0b	(* (- 1.0 x) (/ y (+ y 1.0)))
1.5b	(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

rewrite62.0ms

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:

11.0ms	(/ y (+ y 1.0))
44.0ms	(* (- 1.0 x) (/ y (+ y 1.0)))
5.0ms	(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

series177.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(/ y (+ y 1.0))
55.0ms	(* (- 1.0 x) (/ y (+ y 1.0)))
79.0ms	(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

simplify1.3s

Counts

100 → 100

Iterations

Iter	Nodes
done	5001
2	1630
1	427
0	160

prune356.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ y (+ 1.0 y)) (/ (- 1.0 x) (- y 1.0)))
0.0b	(/ (- 1.0 x) (- y 1.0))
0.1b	(* (* (/ y (+ 1.0 y)) (/ (- 1.0 x) (- y 1.0))) (- y 1.0))
3.5b	(- 1.0 (* (* (/ y (+ 1.0 y)) (/ (- 1.0 x) (- y 1.0))) (- y 1.0)))

rewrite257.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 186

Calls

4 calls:

80.0ms	(* (/ y (+ 1.0 y)) (/ (- 1.0 x) (- y 1.0)))
21.0ms	(/ (- 1.0 x) (- y 1.0))
138.0ms	(* (* (/ y (+ 1.0 y)) (/ (- 1.0 x) (- y 1.0))) (- y 1.0))
10.0ms	(- 1.0 (* (* (/ y (+ 1.0 y)) (/ (- 1.0 x) (- y 1.0))) (- y 1.0)))

series318.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(* (/ y (+ 1.0 y)) (/ (- 1.0 x) (- y 1.0)))
50.0ms	(/ (- 1.0 x) (- y 1.0))
62.0ms	(* (* (/ y (+ 1.0 y)) (/ (- 1.0 x) (- y 1.0))) (- y 1.0))
96.0ms	(- 1.0 (* (* (/ y (+ 1.0 y)) (/ (- 1.0 x) (- y 1.0))) (- y 1.0)))

simplify2.3s

Counts

198 → 198

Iterations

Iter	Nodes
done	5004
2	3809
1	904
0	284

prune784.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite110.0ms

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-*r/` `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:

10.0ms	(+ x (/ 1.0 y))
99.0ms	(- (+ x (/ 1.0 y)) (* 1.0 (/ x y)))

series85.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(+ x (/ 1.0 y))
47.0ms	(- (+ x (/ 1.0 y)) (* 1.0 (/ x y)))

simplify2.6s

Counts

36 → 36

Iterations

Iter	Nodes
done	5001
3	4395
2	775
1	183
0	66

prune132.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes134.0ms

Accuracy

99% (0.1b remaining)

Error of 0.3b against oracle of 0.2b and baseline of 14.1b

bsearch121.0ms

Steps

Iters	Range		Point
10	73049.03827748532	27393673609659132.0	140606760.23202688
8	-2.799485775532035e+22	-3.442452386677413e+19	-3.477097239245187e+19

simplify5.0ms

Iterations

Iter	Nodes
done	30
1	30
0	22

end0.0ms

sample1.3s

Algorithm

intervals

Results

550.0ms	703×	body	640	valid
428.0ms	6148×	body	80	valid
87.0ms	373×	body	1280	valid
68.0ms	503×	body	320	valid
24.0ms	273×	body	160	valid