Details

sample42.0ms

Algorithm

intervals

Results

22.0ms

472×

body

valid

simplify62.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (21.0ms)

Iter	Nodes	Cost
0	9	13
1	18	12
2	45	10
3	75	9
4	77	9
done	77	9

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma x (fma y 2.0 x) (* y y))

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(fma x (fma y 2.0 x) (* y y))

simplify1.2s

Counts

13 → 13

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	23	165
1	43	165
2	101	135
3	313	135
4	1664	135
done	5000	135

prune57.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`fma-def` `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`
1×	`associate-+l+`

Counts

2 → 32

Calls

2 calls:

54.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))
26.0ms	(+ (* x x) (* (* x 2.0) y))

series88.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))
53.0ms	(+ (* x x) (* (* x 2.0) y))

simplify2.9s

Counts

38 → 38

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	62	573
1	203	480
2	861	387
3	4179	360
done	5000	360

prune123.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
1×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 20

Calls

1 calls:

8.0ms

(* (fma x 2.0 y) y)

series59.0ms

Counts

1 → 3

Calls

1 calls:

58.0ms

(* (fma x 2.0 y) y)

simplify4.3s

Counts

23 → 23

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	39	204
1	78	201
2	242	168
3	755	168
4	3384	168
done	5000	168

prune70.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (fma y 2.0 x) x)
0.0b	(* y (- (* x 2.0) y))
1.9b	(fma (* (fma y 2.0 x) x) (* (fma y 2.0 x) x) (- (pow y 4)))
33.4b	(/ (fma (* (fma y 2.0 x) x) (* (fma y 2.0 x) x) (- (pow y 4))) (fma x x (* y (- (* x 2.0) y))))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
18×	`add-cube-cbrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
9×	`times-frac`
8×	`pow1`
6×	`associate-r` `associate-l` `prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`sub-neg` `associate-r/` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `fma-udef` `div-inv`

Counts

4 → 91

Calls

4 calls:

8.0ms	(* (fma y 2.0 x) x)
40.0ms	(* y (- (* x 2.0) y))
0.0ms	(fma (* (fma y 2.0 x) x) (* (fma y 2.0 x) x) (- (pow y 4)))
6.0ms	(/ (fma (* (fma y 2.0 x) x) (* (fma y 2.0 x) x) (- (pow y 4))) (fma x x (* y (- (* x 2.0) y))))

series345.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* (fma y 2.0 x) x)
72.0ms	(* y (- (* x 2.0) y))
106.0ms	(fma (* (fma y 2.0 x) x) (* (fma y 2.0 x) x) (- (pow y 4)))
100.0ms	(/ (fma (* (fma y 2.0 x) x) (* (fma y 2.0 x) x) (- (pow y 4))) (fma x x (* y (- (* x 2.0) y))))

simplify2.3s

Counts

103 → 103

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	185	2234
1	372	2154
2	1054	1913
3	3807	1901
done	5000	1898

prune387.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes27.0ms

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	9
1	7	9
done	7	9

end0.0ms

sample1.4s

Algorithm

intervals

Results

933.0ms

14235×

body

valid