Details

sample46.0ms

Algorithm

intervals

Results

26.0ms

369×

body

valid

simplify81.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	7	9
1	19	7
2	41	7
3	67	7
4	71	7
done	71	7

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* x (+ x y)) 2.0)
0.0b	(* x (+ x y))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 47

Calls

2 calls:

64.0ms	(* (* x (+ x y)) 2.0)
37.0ms	(* x (+ x y))

series97.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(* (* x (+ x y)) 2.0)
33.0ms	(* x (+ x y))

simplify3.7s

Counts

53 → 53

Iterations

Useful iterations: 3 (1.9s)

Iter	Nodes	Cost
0	76	467
1	204	435
2	807	377
3	4139	375
done	5000	375

prune164.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 2.0 (+ (* x x) (* x y)))
0.0b	(+ (* x x) (* x y))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 40

Calls

2 calls:

24.0ms	(* 2.0 (+ (* x x) (* x y)))
9.0ms	(+ (* x x) (* x y))

series118.0ms

Counts

2 → 6

Calls

2 calls:

79.0ms	(* 2.0 (+ (* x x) (* x y)))
39.0ms	(+ (* x x) (* x y))

simplify2.6s

Counts

46 → 46

Iterations

Useful iterations: 2 (172.0ms)

Iter	Nodes	Cost
0	66	523
1	195	410
2	710	362
3	3050	362
done	5000	362

prune147.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (* 2.0 x) (+ x y))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 25

Calls

1 calls:

37.0ms

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

series67.0ms

Counts

1 → 3

Calls

1 calls:

67.0ms

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

simplify3.7s

Counts

28 → 28

Iterations

Useful iterations: 3 (2.0s)

Iter	Nodes	Cost
0	59	286
1	167	265
2	778	225
3	3668	224
done	5000	224

prune68.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* x (+ x y)) 2.0)
0.0b	(* x (+ x y))
0.2b	(pow (* (* x (+ x y)) 2.0) 3)
32.4b	(cbrt (pow (* (* x (+ x y)) 2.0) 3))

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-exp-log` `add-cbrt-cube`
11×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`add-cube-cbrt`
8×	`cbrt-prod` `associate-*r/`
7×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-*l/`
4×	`cube-div` `expm1-log1p-u` `flip3-+` `associate-l` `flip-+` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `pow-pow` `pow-exp` `rem-cube-cbrt`
2×	`cube-mult` `unpow-prod-down` `cbrt-div` `unpow3` `cube-prod` `*-commutative` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `pow1/3` `rem-cbrt-cube` `distribute-lft-out` `unswap-sqr`

Counts

4 → 97

Calls

4 calls:

53.0ms	(* (* x (+ x y)) 2.0)
22.0ms	(* x (+ x y))
60.0ms	(pow (* (* x (+ x y)) 2.0) 3)
12.0ms	(cbrt (pow (* (* x (+ x y)) 2.0) 3))

series228.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* (* x (+ x y)) 2.0)
28.0ms	(* x (+ x y))
72.0ms	(pow (* (* x (+ x y)) 2.0) 3)
60.0ms	(cbrt (pow (* (* x (+ x y)) 2.0) 3))

simplify1.1s

Counts

109 → 109

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	146	1240
1	370	1019
2	1452	957
done	5001	953

prune213.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes57.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	9	7
done	9	7

end0.0ms

sample1.2s

Algorithm

intervals

Results

783.0ms

11222×

body

valid