Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

452×

body

valid

simplify15.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	8	11
1	16	9
2	31	8
3	38	8
done	38	8

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
5×	`fma-def`
4×	`sum-log`
3×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
2×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out`
1×	`associate-+l+`

Counts

2 → 34

Calls

2 calls:

14.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))
3.0ms	(+ (* x 2.0) (* x x))

series86.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))
56.0ms	(+ (* x 2.0) (* x x))

simplify1.6s

Counts

40 → 40

Iterations

Useful iterations: 3 (414.0ms)

Iter	Nodes	Cost
0	61	480
1	198	369
2	919	323
3	3366	317
done	5000	317

prune88.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(* x (+ 2.0 x))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 25

Calls

1 calls:

10.0ms

(* x (+ 2.0 x))

series46.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

(* x (+ 2.0 x))

simplify2.0s

Counts

28 → 28

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	46	206
1	130	193
2	545	174
3	2345	174
done	5001	174

prune54.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 2.0 2.0) (- (* x x) (* 2.0 x)))
0.0b	(- (* x x) (* 2.0 x))
0.0b	(fma (pow 2.0 3) x (pow x 4))
12.0b	(/ (fma (pow 2.0 3) x (pow x 4)) (+ (* 2.0 2.0) (- (* x x) (* 2.0 x))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
11×	`add-log-exp`
9×	`times-frac`
6×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`associate-+r+` `associate-/r` `associate-/l`
2×	`sub-neg` `flip3-+` `diff-log` `prod-diff` `sum-log` `associate-/r/` `flip-+`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `flip3--` `distribute-rgt-out--` `fma-def` `frac-2neg` `fma-neg` `div-exp` `clear-num` `flip--` `fma-udef` `div-inv`

Counts

4 → 77

Calls

4 calls:

7.0ms	(+ (* 2.0 2.0) (- (* x x) (* 2.0 x)))
3.0ms	(- (* x x) (* 2.0 x))
0.0ms	(fma (pow 2.0 3) x (pow x 4))
14.0ms	(/ (fma (pow 2.0 3) x (pow x 4)) (+ (* 2.0 2.0) (- (* x x) (* 2.0 x))))

series366.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(+ (* 2.0 2.0) (- (* x x) (* 2.0 x)))
55.0ms	(- (* x x) (* 2.0 x))
110.0ms	(fma (pow 2.0 3) x (pow x 4))
181.0ms	(/ (fma (pow 2.0 3) x (pow x 4)) (+ (* 2.0 2.0) (- (* x x) (* 2.0 x))))

simplify1.8s

Counts

89 → 89

Iterations

Useful iterations: 3 (454.0ms)

Iter	Nodes	Cost
0	126	1657
1	301	1370
2	1091	1246
3	4521	1245
done	5000	1245

prune301.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes25.0ms

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	8
1	8	8
done	8	8

end0.0ms

sample572.0ms

Algorithm

intervals

Results

340.0ms

14328×

body

valid