Details

sample32.0ms

Algorithm

intervals

Results

15.0ms

256×

body

valid

simplify18.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite33.0ms

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` `frac-2neg` `div-sub` `div-exp` `clear-num` `div-inv` `add-log-exp`

Counts

1 → 52

Calls

1 calls:

30.0ms

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

series59.0ms

Counts

1 → 3

Calls

1 calls:

59.0ms

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

simplify599.0ms

Counts

55 → 55

Iterations

Useful iterations: done (597.0ms)

Iter	Nodes	Cost
0	103	740
1	258	711
2	860	679
done	5000	677

prune193.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

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)))

rewrite111.0ms

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` `frac-times` `flip3-+` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `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 → 98

Calls

2 calls:

76.0ms	(* (/ (- x y) (- (* 1.0 1.0) (* y y))) (+ 1.0 y))
31.0ms	(/ (- x y) (- (* 1.0 1.0) (* y y)))

series154.0ms

Counts

2 → 6

Calls

2 calls:

70.0ms	(* (/ (- x y) (- (* 1.0 1.0) (* y y))) (+ 1.0 y))
84.0ms	(/ (- x y) (- (* 1.0 1.0) (* y y)))

simplify2.5s

Counts

104 → 104

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	178	1931
1	658	1895
2	3646	1741
done	5000	1735

prune326.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite210.0ms

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-l`
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×	`associate-/l/`
3×	`cbrt-undiv` `div-exp` `associate-r` `associate-*l/` `div-inv`
2×	`frac-2neg` `div-sub` `prod-exp` `clear-num` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `flip3-+` `pow-prod-down` `frac-add` `sum-log` `*-commutative` `flip-+` `distribute-lft-out`

Counts

4 → 150

Calls

4 calls:

33.0ms	(+ (* (/ (- x y) (- (* 1.0 1.0) (* y y))) 1.0) (* (/ (- x y) (- (* 1.0 1.0) (* y y))) y))
74.0ms	(* (/ (- x y) (- (* 1.0 1.0) (* y y))) y)
47.0ms	(/ (- x y) (- (* 1.0 1.0) (* y y)))
46.0ms	(/ (- x y) (- (* 1.0 1.0) (* y y)))

series561.0ms

Counts

4 → 12

Calls

4 calls:

210.0ms	(+ (* (/ (- x y) (- (* 1.0 1.0) (* y y))) 1.0) (* (/ (- x y) (- (* 1.0 1.0) (* y y))) y))
146.0ms	(* (/ (- x y) (- (* 1.0 1.0) (* y y))) y)
107.0ms	(/ (- x y) (- (* 1.0 1.0) (* y y)))
97.0ms	(/ (- x y) (- (* 1.0 1.0) (* y y)))

simplify2.2s

Counts

162 → 162

Iterations

Useful iterations: 2 (647.0ms)

Iter	Nodes	Cost
0	195	3171
1	566	2911
2	2886	2665
done	5002	2665

prune623.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize22.0ms

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)))

rewrite136.0ms

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`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `associate-/l/`
1×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `diff-log` `div-sub` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `div-inv` `distribute-lft-out` `distribute-lft-out--` `unswap-sqr`

Counts

3 → 78

Calls

3 calls:

62.0ms	(* (- 1.0 y) (+ x y))
9.0ms	(- (* x x) (* y y))
61.0ms	(/ (- (* x x) (* y y)) (* (- 1.0 y) (+ x y)))

series251.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(* (- 1.0 y) (+ x y))
52.0ms	(- (* x x) (* y y))
149.0ms	(/ (- (* x x) (* y y)) (* (- 1.0 y) (+ x y)))

simplify2.4s

Counts

87 → 87

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	150	1360
1	538	1331
2	3733	1177
done	5001	1175

prune269.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes61.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
done	6	7

end0.0ms

sample648.0ms

Algorithm

intervals

Results

332.0ms	7999×	body	80	valid
0.0ms	1×	body	640	valid