Details

sample36.0ms

Algorithm

intervals

Results

14.0ms

338×

body

valid

simplify20.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	5	7
1	10	6
2	14	6
3	16	6
4	17	6
done	17	6

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ y (fma x x y))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 18

Calls

1 calls:

12.0ms

(+ y (fma x x y))

series89.0ms

Counts

1 → 3

Calls

1 calls:

89.0ms

(+ y (fma x x y))

simplify2.5s

Counts

21 → 21

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	33	173
1	83	166
2	328	150
3	2043	146
done	5001	143

prune82.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

35×	`*-un-lft-identity`
30×	`add-sqr-sqrt` `sqrt-prod`
20×	`pow1`
15×	`add-cube-cbrt`
14×	`sqrt-div`
11×	`swap-sqr`
9×	`sqrt-pow1` `flip3-+` `pow1/2` `flip-+` `distribute-lft-out`
8×	`add-log-exp`
7×	`associate-r` `associate-l`
6×	`add-exp-log` `fma-def` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`+-commutative` `associate-+r+` `associate-r/` `associate-l/` `sum-log` `fma-udef`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `hypot-def`

Counts

4 → 119

Calls

4 calls:

9.0ms	(sqrt (+ y (fma x x y)))
6.0ms	(+ y (fma x x y))
7.0ms	(+ y (fma x x y))
77.0ms	(* (sqrt (+ y (fma x x y))) (sqrt (+ y (fma x x y))))

series364.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(sqrt (+ y (fma x x y)))
63.0ms	(+ y (fma x x y))
62.0ms	(+ y (fma x x y))
80.0ms	(* (sqrt (+ y (fma x x y))) (sqrt (+ y (fma x x y))))

simplify1.0s

Counts

131 → 131

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	108	1954
1	241	1363
2	1150	1237
done	5002	1204

prune585.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma y 2 (* x x))

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 y 2 (* x x))

series83.0ms

Counts

1 → 3

Calls

1 calls:

83.0ms

(fma y 2 (* x x))

simplify7.0s

Counts

13 → 13

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	18	108
1	26	105
2	97	93
3	472	93
4	4137	93
done	5000	93

prune88.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fma y 2 (* x x)))
0.0b	(fma y 2 (* x x))
0.0b	(+ y (fma x x y))
0.2b	(* (sqrt (+ y (fma x x y))) (sqrt (fma y 2 (* x x))))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
14×	`*-un-lft-identity` `sqrt-prod`
10×	`add-cube-cbrt`
9×	`pow1`
7×	`associate-l`
6×	`add-exp-log` `associate-r` `add-cbrt-cube` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `unswap-sqr`
3×	`fma-def` `sqrt-pow1` `pow1/2` `pow-prod-down`
2×	`flip3-+` `sqrt-div` `associate-*l/` `flip-+` `fma-udef` `distribute-lft-out`
1×	`+-commutative` `rem-sqrt-square` `associate-+r+` `sqrt-unprod` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod`

Counts

4 → 78

Calls

4 calls:

2.0ms	(sqrt (fma y 2 (* x x)))
0.0ms	(fma y 2 (* x x))
18.0ms	(+ y (fma x x y))
38.0ms	(* (sqrt (+ y (fma x x y))) (sqrt (fma y 2 (* x x))))

series501.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(sqrt (fma y 2 (* x x)))
77.0ms	(fma y 2 (* x x))
63.0ms	(+ y (fma x x y))
214.0ms	(* (sqrt (+ y (fma x x y))) (sqrt (fma y 2 (* x x))))

simplify838.0ms

Counts

90 → 90

Iterations

Useful iterations: done (834.0ms)

Iter	Nodes	Cost
0	102	1184
1	221	1103
2	1114	1033
done	5000	1029

prune461.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes133.0ms

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	5	6
done	5	6

end0.0ms

sample1.2s

Algorithm

intervals

Results

346.0ms

10624×

body

valid