Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify8.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	12	7
2	16	7
3	18	7
done	18	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`times-frac`
13×	`add-cube-cbrt`
12×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/r` `associate-/l`
3×	`add-exp-log` `add-cbrt-cube`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`pow1` `cbrt-undiv` `expm1-log1p-u` `frac-2neg` `div-sub` `div-exp` `clear-num` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 54

Calls

1 calls:

37.0ms

(/ (- x y) (- 1.0 y))

series54.0ms

Counts

1 → 3

Calls

1 calls:

54.0ms

(/ (- x y) (- 1.0 y))

simplify2.5s

Counts

57 → 57

Iterations

Useful iterations: 3 (954.0ms)

Iter	Nodes	Cost
0	105	756
1	265	724
2	888	694
3	4978	691
done	5000	691

prune152.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (/ (- x y) (- (* 1.0 1.0) (* y y))) (+ 1.0 y))
13.7b	(/ (- x y) (- (* 1.0 1.0) (* y y)))

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
41×	`times-frac`
26×	`associate-l`
24×	`add-cube-cbrt`
20×	`difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--`
5×	`associate-/l*`
4×	`pow1` `associate-r` `associate-/r*` `associate-/r/`
3×	`flip3--` `flip--`
2×	`cbrt-undiv` `expm1-log1p-u` `frac-times` `flip3-+` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `div-sub` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `distribute-lft-out`

Counts

2 → 102

Calls

2 calls:

94.0ms	(* (/ (- x y) (- (* 1.0 1.0) (* y y))) (+ 1.0 y))
36.0ms	(/ (- x y) (- (* 1.0 1.0) (* y y)))

series201.0ms

Counts

2 → 6

Calls

2 calls:

91.0ms	(* (/ (- x y) (- (* 1.0 1.0) (* y y))) (+ 1.0 y))
109.0ms	(/ (- x y) (- (* 1.0 1.0) (* y y)))

simplify2.1s

Counts

108 → 108

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	182	1987
1	675	1946
2	3791	1791
done	5000	1790

prune326.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (/ (- x y) (- (* 1.0 1.0) (* y y))) 1.0) (* y (/ (- x y) (- (* 1.0 1.0) (* y y)))))
0.1b	(* y (/ (- x y) (- (* 1.0 1.0) (* y y))))
13.7b	(/ (- x y) (- (* 1.0 1.0) (* y y)))
13.7b	(/ (- x y) (- (* 1.0 1.0) (* y y)))

rewrite214.0ms

Algorithm

rewrite-expression-head

Rules

70×	`add-sqr-sqrt`
65×	`*-un-lft-identity`
61×	`times-frac`
37×	`add-cube-cbrt`
31×	`difference-of-squares`
26×	`associate-r`
14×	`distribute-lft-out--`
13×	`add-exp-log` `add-cbrt-cube`
10×	`associate-/l*`
8×	`associate-/r*`
6×	`pow1` `associate-/r/` `add-log-exp`
5×	`flip3--` `flip--`
4×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l/`
3×	`cbrt-undiv` `div-exp` `associate-l` `div-inv`
2×	`frac-2neg` `div-sub` `associate-*r/` `prod-exp` `clear-num` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `fma-def` `flip3-+` `pow-prod-down` `associate-l/` `frac-add` `sum-log` `-commutative` `flip-+`

Counts

4 → 158

Calls

4 calls:

28.0ms	(+ (* (/ (- x y) (- (* 1.0 1.0) (* y y))) 1.0) (* y (/ (- x y) (- (* 1.0 1.0) (* y y)))))
99.0ms	(* y (/ (- x y) (- (* 1.0 1.0) (* y y))))
28.0ms	(/ (- x y) (- (* 1.0 1.0) (* y y)))
53.0ms	(/ (- x y) (- (* 1.0 1.0) (* y y)))

series508.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(+ (* (/ (- x y) (- (* 1.0 1.0) (* y y))) 1.0) (* y (/ (- x y) (- (* 1.0 1.0) (* y y)))))
112.0ms	(* y (/ (- x y) (- (* 1.0 1.0) (* y y))))
97.0ms	(/ (- x y) (- (* 1.0 1.0) (* y y)))
117.0ms	(/ (- x y) (- (* 1.0 1.0) (* y y)))

simplify3.0s

Counts

170 → 170

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	197	3315
1	600	3191
2	3243	2765
done	5000	2763

prune648.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- 1.0 y) (+ x y))
4.8b	(- (* x x) (* y y))
29.0b	(/ (- (* x x) (* y y)) (* (- 1.0 y) (+ x y)))

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `flip3--` `associate-/r/` `flip--`
7×	`add-cube-cbrt`
6×	`flip3-+` `flip-+`
5×	`pow1` `associate-l` `add-log-exp`
4×	`times-frac` `associate-r/` `associate-r` `associate-l/` `associate-/l*` `difference-of-squares`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `associate-/l/`
1×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `fma-neg` `diff-log` `div-sub` `prod-diff` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `div-inv` `distribute-lft-out` `distribute-lft-out--` `unswap-sqr`

Counts

3 → 86

Calls

3 calls:

59.0ms	(* (- 1.0 y) (+ x y))
17.0ms	(- (* x x) (* y y))
75.0ms	(/ (- (* x x) (* y y)) (* (- 1.0 y) (+ x y)))

series246.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(* (- 1.0 y) (+ x y))
57.0ms	(- (* x x) (* y y))
139.0ms	(/ (- (* x x) (* y y)) (* (- 1.0 y) (+ x y)))

simplify2.2s

Counts

95 → 95

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	159	1442
1	553	1403
2	3850	1245
done	5001	1244

prune282.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes75.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
done	6	7

end0.0ms

sample625.0ms

Algorithm

intervals

Results

307.0ms	7999×	body	80	valid
0.0ms	1×	body	640	valid