Details

sample9.0ms

Algorithm

intervals

Results

3.0ms

256×

body

valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	4	5
1	6	5
2	9	5
3	11	5
4	12	5
done	12	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (+ x y) x)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

6×	`*-un-lft-identity` `add-log-exp`
3×	`sum-log` `distribute-lft-out`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+l+` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

1 → 15

Calls

1 calls:

14.0ms

(+ (+ x y) x)

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

(+ (+ x y) x)

simplify1.4s

Counts

18 → 18

Iterations

Useful iterations: 4 (407.0ms)

Iter	Nodes	Cost
0	32	145
1	81	140
2	203	130
3	604	122
4	2408	116
done	5001	116

prune26.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (+ x y) x))
0.0b	(+ (+ x y) x)
0.0b	(+ (+ x y) x)
0.2b	(* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)))

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

72×	`*-un-lft-identity`
43×	`sqrt-prod`
33×	`distribute-lft-out`
26×	`add-sqr-sqrt`
20×	`pow1`
16×	`swap-sqr`
14×	`sqrt-div` `add-log-exp`
13×	`add-cube-cbrt`
9×	`sqrt-pow1` `flip3-+` `pow1/2` `flip-+`
8×	`associate-r` `associate-l`
6×	`add-exp-log` `sum-log` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`+-commutative` `associate-+l+` `associate-r/` `associate-l/`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 116

Calls

4 calls:

17.0ms	(sqrt (+ (+ x y) x))
14.0ms	(+ (+ x y) x)
16.0ms	(+ (+ x y) x)
78.0ms	(* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)))

series121.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(sqrt (+ (+ x y) x))
22.0ms	(+ (+ x y) x)
24.0ms	(+ (+ x y) x)
36.0ms	(* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)))

simplify1.2s

Counts

128 → 128

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	119	1813
1	244	1227
2	674	1143
3	2191	1062
done	5001	1061

prune173.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ (* 2 x) y) (+ 0 y))
18.4b	(/ (* (+ (* 2 x) y) (+ 0 y)) (+ 0 y))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 62

Calls

2 calls:

18.0ms	(* (+ (* 2 x) y) (+ 0 y))
13.0ms	(/ (* (+ (* 2 x) y) (+ 0 y)) (+ 0 y))

series64.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(* (+ (* 2 x) y) (+ 0 y))
27.0ms	(/ (* (+ (* 2 x) y) (+ 0 y)) (+ 0 y))

simplify864.0ms

Counts

68 → 68

Iterations

Useful iterations: done (862.0ms)

Iter	Nodes	Cost
0	109	1105
1	357	734
2	1417	632
done	5001	630

prune130.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize4.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune1.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	7	5
done	7	5

end0.0ms

sample218.0ms

Algorithm

intervals

Results

101.0ms

8006×

body

valid