Details

sample12.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify11.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	7
1	11	7
2	14	7
3	16	7
done	16	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 48

Calls

1 calls:

13.0ms

(/ (- x y) (+ x y))

series74.0ms

Counts

1 → 3

Calls

1 calls:

74.0ms

(/ (- x y) (+ x y))

simplify2.1s

Counts

51 → 51

Iterations

Useful iterations: 4 (890.0ms)

Iter	Nodes	Cost
0	80	616
1	192	588
2	437	560
3	1059	560
4	2851	553
done	5000	553

prune102.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- x y) (+ x y))
0.0b	(cbrt (pow (/ (- x y) (+ x y)) 3))
0.0b	(pow (/ (- x y) (+ x y)) 3)

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

150×	`*-un-lft-identity`
100×	`times-frac`
98×	`add-sqr-sqrt`
58×	`cbrt-prod`
56×	`add-cube-cbrt`
52×	`unpow-prod-down` `cube-prod`
26×	`distribute-lft-out`
21×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-/r/`
8×	`add-exp-log` `add-cbrt-cube`
5×	`flip3-+` `flip-+` `div-inv` `associate-/l*`
4×	`pow1` `associate-/r*`
3×	`expm1-log1p-u` `pow-unpow` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow3` `div-exp` `pow-exp` `associate-/l/` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `flip3--` `pow-pow` `frac-2neg` `pow1/3` `div-sub` `clear-num` `flip--` `rem-cbrt-cube`

Counts

3 → 192

Calls

3 calls:

12.0ms	(/ (- x y) (+ x y))
17.0ms	(cbrt (pow (/ (- x y) (+ x y)) 3))
13.0ms	(pow (/ (- x y) (+ x y)) 3)

series248.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(/ (- x y) (+ x y))
95.0ms	(cbrt (pow (/ (- x y) (+ x y)) 3))
82.0ms	(pow (/ (- x y) (+ x y)) 3)

simplify758.0ms

Counts

201 → 201

Iterations

Useful iterations: 2 (245.0ms)

Iter	Nodes	Cost
0	183	3412
1	507	2812
2	1558	2597
done	5000	2597

prune318.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (pow (/ (- x y) (+ x y)) 2))
0.0b	(cbrt (/ (- x y) (+ x y)))
0.0b	(* (cbrt (/ (- x y) (+ x y))) (cbrt (pow (/ (- x y) (+ x y)) 2)))
0.0b	(pow (/ (- x y) (+ x y)) 2)

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

149×	`*-un-lft-identity`
142×	`cbrt-prod`
138×	`add-sqr-sqrt`
109×	`times-frac`
84×	`unpow-prod-down`
59×	`add-cube-cbrt`
34×	`associate-r`
29×	`associate-l`
25×	`distribute-lft-out`
20×	`distribute-lft-out--` `difference-of-squares`
18×	`unswap-sqr`
10×	`associate-/r/`
9×	`add-exp-log`
7×	`pow1` `unpow2`
6×	`sqr-pow`
5×	`flip3-+` `flip-+` `div-inv`
4×	`expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`cbrt-div` `pow-prod-down` `pow-exp`
1×	`pow-to-exp` `pow-pow` `cube-unmult` `div-exp` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod`

Counts

4 → 219

Calls

4 calls:

15.0ms	(cbrt (pow (/ (- x y) (+ x y)) 2))
6.0ms	(cbrt (/ (- x y) (+ x y)))
96.0ms	(* (cbrt (/ (- x y) (+ x y))) (cbrt (pow (/ (- x y) (+ x y)) 2)))
13.0ms	(pow (/ (- x y) (+ x y)) 2)

series538.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(cbrt (pow (/ (- x y) (+ x y)) 2))
239.0ms	(cbrt (/ (- x y) (+ x y)))
99.0ms	(* (cbrt (/ (- x y) (+ x y))) (cbrt (pow (/ (- x y) (+ x y)) 2)))
78.0ms	(pow (/ (- x y) (+ x y)) 2)

simplify1.9s

Counts

231 → 231

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	268	4569
1	537	4265
2	1142	4103
3	3548	4083
done	5000	4083

prune657.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes44.0ms

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	8	10
1	9	10
done	9	10

end0.0ms

sample274.0ms

Algorithm

intervals

Results

147.0ms

8000×

body

valid