Details

sample18.0ms

Algorithm

intervals

Results

10.0ms

285×

body

valid

simplify102.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	112
12	112
11	111
10	107
9	103
8	97
7	92
6	73
5	62
4	47
3	39
2	26
1	19
0	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.6b

localize17.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (+ (/ x y) 1.0))
7.5b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
9×	`add-cbrt-cube` `add-exp-log`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt`
4×	`pow1` `associate-/r` `times-frac` `associate-r` `associate-r/`
3×	`flip3-+` `associate-l` `flip-+` `distribute-lft-out`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `insert-posit16` `add-log-exp` `associate-/l/`
1×	`distribute-rgt-in` `clear-num` `frac-2neg` `distribute-lft-in` `pow-prod-down` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

2 → 52

Calls

2 calls:

40.0ms	(* x (+ (/ x y) 1.0))
30.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series88.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(* x (+ (/ x y) 1.0))
60.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify999.0ms

Counts

58 → 58

Iterations

Iter	Nodes
done	5022
2	1342
1	322
0	104

prune227.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ x 1.0) (+ (/ x y) 1.0))
0.1b	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

155×	`*-un-lft-identity`
146×	`times-frac`
71×	`add-sqr-sqrt` `add-cube-cbrt`
42×	`distribute-lft-out`
26×	`associate-/r*`
11×	`associate-/r/`
9×	`add-cbrt-cube` `add-exp-log`
7×	`associate-/l*`
6×	`flip3-+` `flip-+` `div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `clear-num` `frac-2neg` `insert-posit16` `add-log-exp` `associate-/l/`

Counts

2 → 148

Calls

2 calls:

26.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))
24.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))

series149.0ms

Counts

2 → 6

Calls

2 calls:

90.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))
59.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))

simplify1.5s

Counts

154 → 154

Iterations

Iter	Nodes
done	5002
2	2067
1	554
0	208

prune507.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) (* 1.0 1.0))
0.1b	(* x (+ (/ x y) 1.0))
0.1b	(* (/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0))) (- x 1.0))
9.8b	(/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0)))

rewrite183.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 107

Calls

4 calls:

11.0ms	(- (* x x) (* 1.0 1.0))
39.0ms	(* x (+ (/ x y) 1.0))
92.0ms	(* (/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0))) (- x 1.0))
39.0ms	(/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0)))

series275.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(- (* x x) (* 1.0 1.0))
34.0ms	(* x (+ (/ x y) 1.0))
91.0ms	(* (/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0))) (- x 1.0))
101.0ms	(/ (* x (+ (/ x y) 1.0)) (- (* x x) (* 1.0 1.0)))

simplify1.4s

Counts

119 → 119

Iterations

Iter	Nodes
done	5004
2	2749
1	600
0	188

prune435.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

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

rewrite262.0ms

Algorithm

rewrite-expression-head

Rules

133×	`*-un-lft-identity`
101×	`add-sqr-sqrt`
93×	`times-frac`
79×	`add-exp-log`
61×	`add-cbrt-cube`
53×	`add-cube-cbrt`
39×	`associate-l`
31×	`prod-exp`
28×	`div-exp`
27×	`associate-r`
22×	`cbrt-unprod` `distribute-lft-out`
19×	`cbrt-undiv`
18×	`distribute-lft-out--` `difference-of-squares`
11×	`pow1`
9×	`associate-/r` `associate-/l`
8×	`associate-/r/`
6×	`frac-times` `associate-*r/`
5×	`1-exp` `div-inv`
4×	`pow-prod-down` `associate-*l/` `insert-posit16` `add-log-exp` `unswap-sqr` `associate-/l/`
3×	`flip3-+` `flip3--` `flip-+` `flip--`
2×	`clear-num` `frac-2neg` `*-commutative`
1×	`div-sub`

Counts

4 → 227

Calls

4 calls:

20.0ms	(/ (- x 1.0) (+ x 1.0))
89.0ms	(* (/ (+ (/ x y) 1.0) (- x 1.0)) (/ (- x 1.0) (+ x 1.0)))
46.0ms	(/ (+ (/ x y) 1.0) (- x 1.0))
102.0ms	(* (/ x 1) (* (/ (+ (/ x y) 1.0) (- x 1.0)) (/ (- x 1.0) (+ x 1.0))))

series195.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(/ (- x 1.0) (+ x 1.0))
44.0ms	(* (/ (+ (/ x y) 1.0) (- x 1.0)) (/ (- x 1.0) (+ x 1.0)))
42.0ms	(/ (+ (/ x y) 1.0) (- x 1.0))
53.0ms	(* (/ x 1) (* (/ (+ (/ x y) 1.0) (- x 1.0)) (/ (- x 1.0) (+ x 1.0))))

simplify2.3s

Counts

239 → 239

Iterations

Iter	Nodes
done	5002
2	3661
1	973
0	310

prune854.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes91.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	10
1	10
0	8

end0.0ms

sample718.0ms

Algorithm

intervals

Results

550.0ms

9125×

body

valid