Details

sample23.0ms

Algorithm

intervals

Results

12.0ms

433×

body

valid

simplify53.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	79
5	79
4	71
3	51
2	29
1	14
0	7

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x x (* (* y 3) y))
0.2b	(* (* y 3) y)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 30

Calls

2 calls:

0.0ms	(fma x x (* (* y 3) y))
23.0ms	(* (* y 3) y)

series99.0ms

Counts

2 → 6

Calls

2 calls:

65.0ms	(fma x x (* (* y 3) y))
34.0ms	(* (* y 3) y)

simplify558.0ms

Counts

36 → 36

Iterations

Iter	Nodes
done	5000
2	681
1	122
0	53

prune198.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (* y y) 3 (* x x))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (* y y) 3 (* x x))

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

(fma (* y y) 3 (* x x))

simplify5.6s

Counts

13 → 13

Iterations

Iter	Nodes
done	5000
4	4012
3	510
2	117
1	34
0	21

prune71.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* y y) 3)
0.3b	(* (sqrt (fma x x (* (* y y) 3))) (sqrt (fma x x (* (* y y) 3))))
4.6b	(sqrt (fma x x (* (* y y) 3)))
4.6b	(sqrt (fma x x (* (* y y) 3)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
26×	`pow1`
24×	`sqrt-prod`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`add-cbrt-cube` `add-exp-log`
10×	`sqrt-pow1` `pow1/2`
9×	`associate-r`
8×	`swap-sqr`
7×	`associate-l`
6×	`pow-prod-down`
5×	`pow-prod-up` `unswap-sqr`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`pow-sqr`
2×	`rem-sqrt-square` `*-commutative`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod`

Counts

4 → 102

Calls

4 calls:

31.0ms	(* (* y y) 3)
16.0ms	(* (sqrt (fma x x (* (* y y) 3))) (sqrt (fma x x (* (* y y) 3))))
2.0ms	(sqrt (fma x x (* (* y y) 3)))
2.0ms	(sqrt (fma x x (* (* y y) 3)))

series242.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (* y y) 3)
50.0ms	(* (sqrt (fma x x (* (* y y) 3))) (sqrt (fma x x (* (* y y) 3))))
83.0ms	(sqrt (fma x x (* (* y y) 3)))
64.0ms	(sqrt (fma x x (* (* y y) 3)))

simplify695.0ms

Counts

114 → 114

Iterations

Iter	Nodes
done	5000
2	1158
1	221
0	96

prune552.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (* (sqrt 3) y) y) (sqrt 3))
0.4b	(* (sqrt 3) y)
4.6b	(sqrt (fma x x (* (* y y) 3)))
4.6b	(sqrt (fma x x (* (* (* (sqrt 3) y) y) (sqrt 3))))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt` `pow1`
15×	`add-cbrt-cube` `add-exp-log`
13×	`sqrt-prod`
11×	`*-un-lft-identity` `add-cube-cbrt`
9×	`associate-r`
7×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

82.0ms	(* (* (* (sqrt 3) y) y) (sqrt 3))
15.0ms	(* (sqrt 3) y)
2.0ms	(sqrt (fma x x (* (* y y) 3)))
2.0ms	(sqrt (fma x x (* (* (* (sqrt 3) y) y) (sqrt 3))))

series403.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(* (* (* (sqrt 3) y) y) (sqrt 3))
76.0ms	(* (sqrt 3) y)
75.0ms	(sqrt (fma x x (* (* y y) 3)))
148.0ms	(sqrt (fma x x (* (* (* (sqrt 3) y) y) (sqrt 3))))

simplify820.0ms

Counts

92 → 92

Iterations

Iter	Nodes
done	5000
2	1380
1	240
0	109

prune499.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes259.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	6
0	6

end0.0ms

sample1.1s

Algorithm

intervals

Results

751.0ms

14306×

body

valid