Details

sample38.0ms

Algorithm

intervals

Results

16.0ms

291×

body

valid

simplify2.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
14	4468
13	1561
12	595
11	277
10	170
9	166
8	148
7	120
6	86
5	74
4	60
3	45
2	30
1	19
0	8

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.1b

localize17.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (+ (/ x y) 1.0))
7.6b	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

rewrite87.0ms

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×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `log1p-expm1-u` `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 → 54

Calls

2 calls:

42.0ms	(* x (+ (/ x y) 1.0))
42.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

series96.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(* x (+ (/ x y) 1.0))
69.0ms	(/ (* x (+ (/ x y) 1.0)) (+ x 1.0))

simplify1.4s

Counts

60 → 60

Iterations

Iter	Nodes
done	5000
2	1927
1	332
0	106

prune333.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite84.0ms

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×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `log1p-expm1-u` `add-log-exp` `associate-/l/`

Counts

2 → 150

Calls

2 calls:

30.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
46.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

series143.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(/ x (/ (+ x 1.0) (+ (/ x y) 1.0)))
84.0ms	(/ (+ x 1.0) (+ (/ x y) 1.0))

simplify1.7s

Counts

156 → 156

Iterations

Iter	Nodes
done	5000
2	3171
1	573
0	210

prune649.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 2 expressions with local error:

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

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity`
25×	`add-sqr-sqrt` `times-frac`
20×	`add-cube-cbrt`
18×	`associate-l`
9×	`add-cbrt-cube` `add-exp-log`
8×	`distribute-lft-out`
4×	`pow1` `associate-/r` `flip3-+` `associate-r*` `associate-/r/` `flip-+`
3×	`associate-/l*`
2×	`expm1-log1p-u` `frac-times` `cbrt-undiv` `div-exp` `prod-exp` `associate-*r/` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`distribute-rgt-in` `clear-num` `frac-2neg` `distribute-lft-in` `pow-prod-down` `associate-l/` `-commutative`

Counts

2 → 81

Calls

2 calls:

17.0ms	(/ x (+ x 1.0))
88.0ms	(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

series126.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(/ x (+ x 1.0))
73.0ms	(* (/ x (+ x 1.0)) (+ (/ x y) 1.0))

simplify1.9s

Counts

87 → 87

Iterations

Iter	Nodes
done	5001
2	2980
1	515
0	144

prune432.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (+ x 1.0))
0.3b	(* (/ x y) (/ x y))
1.4b	(* (/ x (+ x 1.0)) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))
9.3b	(/ (* (/ x (+ x 1.0)) (- (* (/ x y) (/ x y)) (* 1.0 1.0))) (- (/ x y) 1.0))

rewrite221.0ms

Algorithm

rewrite-expression-head

Rules

79×	`add-sqr-sqrt`
73×	`times-frac`
70×	`*-un-lft-identity`
52×	`add-cube-cbrt`
32×	`add-cbrt-cube` `add-exp-log`
31×	`associate-l`
17×	`associate-r`
13×	`pow1` `swap-sqr`
10×	`cbrt-undiv` `associate-/r*` `div-exp`
8×	`prod-exp` `cbrt-unprod`
7×	`div-inv` `distribute-lft-out`
6×	`associate-/r/` `unswap-sqr`
5×	`frac-times` `flip3--` `associate-*r/` `flip--` `difference-of-squares` `associate-/l/`
4×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `associate-*l/`
2×	`clear-num` `sub-neg` `frac-2neg` `flip3-+` `prod-diff` `pow-prod-down` `*-commutative` `flip-+` `distribute-lft-out--`
1×	`pow2` `pow-plus` `pow-sqr` `pow-prod-up`

Counts

4 → 192

Calls

4 calls:

16.0ms	(/ x (+ x 1.0))
38.0ms	(* (/ x y) (/ x y))
95.0ms	(* (/ x (+ x 1.0)) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))
61.0ms	(/ (* (/ x (+ x 1.0)) (- (* (/ x y) (/ x y)) (* 1.0 1.0))) (- (/ x y) 1.0))

series298.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(/ x (+ x 1.0))
33.0ms	(* (/ x y) (/ x y))
108.0ms	(* (/ x (+ x 1.0)) (- (* (/ x y) (/ x y)) (* 1.0 1.0)))
117.0ms	(/ (* (/ x (+ x 1.0)) (- (* (/ x y) (/ x y)) (* 1.0 1.0))) (- (/ x y) 1.0))

simplify1.1s

Counts

204 → 204

Iterations

Iter	Nodes
done	5000
1	1041
0	318

prune1.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes99.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample885.0ms

Algorithm

intervals

Results

540.0ms

9153×

body

valid