Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

452×

body

valid

simplify118.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	4	7
1	11	7
2	26	7
3	50	7
4	87	7
5	113	7
6	131	7
7	144	7
8	146	7
done	146	7

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 y))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
8×	`pow1`
7×	`add-sqr-sqrt`
6×	`flip3-+` `swap-sqr` `flip-+` `distribute-lft-out`
5×	`add-cube-cbrt`
4×	`frac-times` `associate-r` `associate-l`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-r/` `associate-l/`
1×	`pow2` `distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `pow-plus` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 42

Calls

1 calls:

19.0ms

(* (+ x y) (+ x y))

series15.0ms

Counts

1 → 3

Calls

1 calls:

15.0ms

(* (+ x y) (+ x y))

simplify2.5s

Counts

45 → 45

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	64	532
1	190	465
2	780	416
3	4151	380
done	5000	380

prune81.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`pow1` `add-exp-log` `add-cube-cbrt` `flip3-+` `associate-r` `associate-l` `add-cbrt-cube` `flip-+`
6×	`associate-r/` `associate-l/`
5×	`add-log-exp`
4×	`frac-add`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`
1×	`+-commutative` `fma-def` `sum-log`

Counts

3 → 68

Calls

3 calls:

10.0ms	(* x (+ x y))
6.0ms	(+ (* x (+ x y)) (* (+ x y) y))
10.0ms	(* (+ x y) y)

series81.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(* x (+ x y))
23.0ms	(+ (* x (+ x y)) (* (+ x y) y))
31.0ms	(* (+ x y) y)

simplify798.0ms

Counts

77 → 77

Iterations

Useful iterations: done (796.0ms)

Iter	Nodes	Cost
0	116	900
1	343	766
2	1314	690
done	5000	652

prune159.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(* (cbrt x) (cbrt x))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

0.0ms	(cbrt x)
0.0ms	(cbrt x)
1.0ms	(cbrt x)
6.0ms	(* (cbrt x) (cbrt x))

series753.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(cbrt x)
186.0ms	(cbrt x)
180.0ms	(cbrt x)
202.0ms	(* (cbrt x) (cbrt x))

simplify2.9s

Counts

93 → 93

Iterations

Useful iterations: 4 (1.5s)

Iter	Nodes	Cost
0	65	554
1	119	443
2	331	423
3	1192	405
4	3749	400
done	5000	400

prune233.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b	(pow (sqrt (+ y x)) 4)
3.6b	(cbrt (pow (sqrt (+ y x)) 4))
3.6b	(cbrt (pow (sqrt (+ y x)) 4))
3.6b	(cbrt (pow (sqrt (+ y x)) 4))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

33×	`cbrt-prod`
28×	`unpow-prod-down`
24×	`*-un-lft-identity`
16×	`add-sqr-sqrt` `add-cube-cbrt` `sqrt-prod`
6×	`pow1`
5×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out` `add-log-exp` `sqr-pow`
3×	`pow-unpow` `pow-pow` `pow1/3`
1×	`pow-to-exp` `sqrt-pow1` `pow1/2` `pow-exp` `sqrt-pow2`

Counts

4 → 89

Calls

4 calls:

6.0ms	(pow (sqrt (+ y x)) 4)
5.0ms	(cbrt (pow (sqrt (+ y x)) 4))
5.0ms	(cbrt (pow (sqrt (+ y x)) 4))
5.0ms	(cbrt (pow (sqrt (+ y x)) 4))

series577.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(pow (sqrt (+ y x)) 4)
175.0ms	(cbrt (pow (sqrt (+ y x)) 4))
173.0ms	(cbrt (pow (sqrt (+ y x)) 4))
174.0ms	(cbrt (pow (sqrt (+ y x)) 4))

simplify1.1s

Counts

101 → 101

Iterations

Useful iterations: 3 (319.0ms)

Iter	Nodes	Cost
0	107	1289
1	232	1167
2	572	1037
3	1852	936
done	5001	936

prune278.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes73.0ms

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	6	11
1	10	11
done	10	11

end0.0ms

sample458.0ms

Algorithm

intervals

Results

229.0ms

14328×

body

valid