Details

sample29.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify138.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	163
1	15	163
2	27	163
3	48	163
4	88	163
5	136	163
6	160	163
7	170	163
8	174	163
done	174	163

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.7b

localize8.0ms

Local error

Found 1 expressions with local error:

18.1b

(/ (* (* x 2.0) y) (- x y))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 31

Calls

1 calls:

43.0ms

(/ (* (* x 2.0) y) (- x y))

series119.0ms

Counts

1 → 3

Calls

1 calls:

119.0ms

(/ (* (* x 2.0) y) (- x y))

simplify2.0s

Counts

34 → 34

Iterations

Useful iterations: 2 (235.0ms)

Iter	Nodes	Cost
0	79	8180
1	222	7335
2	878	6855
done	5000	6855

prune207.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- x y))
6.3b	(* (* x 2.0) (/ y (- x y)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt` `*-un-lft-identity`
30×	`times-frac`
21×	`associate-r` `add-cube-cbrt`
16×	`add-cbrt-cube` `add-exp-log`
7×	`pow1` `distribute-lft-out--` `difference-of-squares`
6×	`prod-exp` `cbrt-unprod`
5×	`associate-/r*`
4×	`associate-/r/`
3×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/l*`
2×	`expm1-log1p-u` `flip3--` `log1p-expm1-u` `div-inv` `flip--` `add-log-exp`
1×	`clear-num` `frac-2neg` `associate-l` `associate-r/` `-commutative`

Counts

2 → 82

Calls

2 calls:

9.0ms	(/ y (- x y))
29.0ms	(* (* x 2.0) (/ y (- x y)))

series155.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(/ y (- x y))
92.0ms	(* (* x 2.0) (/ y (- x y)))

simplify2.0s

Counts

88 → 88

Iterations

Useful iterations: 2 (384.0ms)

Iter	Nodes	Cost
0	120	19552
1	336	17627
2	1200	16784
done	5000	16784

prune449.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- x y) y)
6.3b	(/ (* x 2.0) (/ (- x y) y))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

64×	`times-frac`
50×	`add-sqr-sqrt` `*-un-lft-identity`
30×	`add-cube-cbrt`
22×	`associate-/r*`
16×	`add-cbrt-cube` `add-exp-log`
10×	`distribute-lft-out--` `difference-of-squares`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/l*`
4×	`div-inv`
2×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `associate-/l/`
1×	`flip3--` `div-sub` `associate-/r/` `flip--`

Counts

2 → 100

Calls

2 calls:

19.0ms	(/ (- x y) y)
16.0ms	(/ (* x 2.0) (/ (- x y) y))

series149.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(/ (- x y) y)
114.0ms	(/ (* x 2.0) (/ (- x y) y))

simplify2.0s

Counts

106 → 106

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	155	26179
1	420	24261
2	1426	23656
done	5004	23455

prune531.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 1 expressions with local error:

6.3b	(/ (* x 2.0) (- (/ x y) 1))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
16×	`times-frac`
11×	`*-un-lft-identity`
10×	`associate-/r*`
8×	`difference-of-squares`
6×	`add-cbrt-cube` `add-exp-log`
4×	`difference-of-sqr-1`
3×	`add-cube-cbrt`
2×	`cbrt-undiv` `div-exp` `associate-/r/` `distribute-lft-out--`
1×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `flip3--` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `flip--` `associate-/l*` `add-log-exp`

Counts

1 → 39

Calls

1 calls:

24.0ms

(/ (* x 2.0) (- (/ x y) 1))

series82.0ms

Counts

1 → 3

Calls

1 calls:

82.0ms

(/ (* x 2.0) (- (/ x y) 1))

simplify2.9s

Counts

42 → 42

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	87	10536
1	208	9516
2	691	9411
3	3226	9251
done	5057	9227

prune205.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes113.0ms

Accuracy

95.9% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 7.3b

bsearch120.0ms

Steps

Iters	Range		Point
9	5.312512837176874e-08	0.1909160003853501	0.03126096436082479
10	-8.561827034789893e+104	-8.534009479160948e+89	-8.657886392036024e+89

simplify8.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	505
1	21	505
done	21	505

end0.0ms

sample602.0ms

Algorithm

intervals

Results

411.0ms

8000×

body

valid