Details

sample32.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
9.0ms	256×	pre	80	true

simplify8.8s

Counts

1 → 1

Iterations

Iter	Nodes
9	9368
8	1935
7	740
6	364
5	206
4	104
3	46
2	28
1	14
0	4

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma x (* x x) (* x x))

rewrite0.0ms

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` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

1 → 11

Calls

1 calls:

0.0ms

(fma x (* x x) (* x x))

series85.0ms

Counts

1 → 3

Calls

1 calls:

85.0ms

(fma x (* x x) (* x x))

simplify6.9s

Counts

14 → 14

Iterations

Iter	Nodes
5	7627
4	1155
3	247
2	75
1	31
0	19

prune92.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma x (* x x) (* x x))
0.0b	(* (sqrt (fma x (* x x) (* x x))) (sqrt (fma x (* x x) (* x x))))
32.4b	(sqrt (fma x (* x x) (* x x)))
32.4b	(sqrt (fma x (* x x) (* x x)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`*-un-lft-identity` `add-cube-cbrt`
10×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 95

Calls

4 calls:

0.0ms	(fma x (* x x) (* x x))
16.0ms	(* (sqrt (fma x (* x x) (* x x))) (sqrt (fma x (* x x) (* x x))))
2.0ms	(sqrt (fma x (* x x) (* x x)))
2.0ms	(sqrt (fma x (* x x) (* x x)))

series340.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(fma x (* x x) (* x x))
101.0ms	(* (sqrt (fma x (* x x) (* x x))) (sqrt (fma x (* x x) (* x x))))
54.0ms	(sqrt (fma x (* x x) (* x x)))
67.0ms	(sqrt (fma x (* x x) (* x x)))

simplify2.7s

Counts

107 → 107

Iterations

Iter	Nodes
4	4869
3	1092
2	366
1	144
0	83

prune803.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma x (* x x) (* x x))
0.0b	(* (fma (* x x) (+ 1/2 (* -1/8 x)) x) (sqrt (fma x (* x x) (* x x))))
32.4b	(sqrt (fma x (* x x) (* x x)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
7×	`*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
6×	`pow1` `associate-r`
5×	`add-cbrt-cube` `add-exp-log`
3×	`expm1-log1p-u` `associate-l` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`unswap-sqr`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

3 → 52

Calls

3 calls:

0.0ms	(fma x (* x x) (* x x))
13.0ms	(* (fma (* x x) (+ 1/2 (* -1/8 x)) x) (sqrt (fma x (* x x) (* x x))))
8.0ms	(sqrt (fma x (* x x) (* x x)))

series281.0ms

Counts

3 → 9

Calls

3 calls:

106.0ms	(fma x (* x x) (* x x))
122.0ms	(* (fma (* x x) (+ 1/2 (* -1/8 x)) x) (sqrt (fma x (* x x) (* x x))))
53.0ms	(sqrt (fma x (* x x) (* x x)))

simplify1.0s

Counts

61 → 61

Iterations

Iter	Nodes
3	2515
2	593
1	193
0	94

prune665.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (sqrt (fma x (* x x) (* x x))) (sqrt (sqrt (fma x (* x x) (* x x)))))
32.4b	(sqrt (fma x (* x x) (* x x)))
32.4b	(sqrt (fma x (* x x) (* x x)))
32.4b	(sqrt (fma x (* x x) (* x x)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

31×	`sqrt-prod`
29×	`add-sqr-sqrt`
18×	`pow1`
14×	`sqrt-pow1`
12×	`*-un-lft-identity` `add-cube-cbrt`
10×	`pow1/2`
9×	`associate-r`
6×	`add-cbrt-cube` `associate-l` `add-exp-log` `pow-prod-up` `unswap-sqr`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`rem-sqrt-square` `pow-prod-down`
2×	`pow3`
1×	`sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 94

Calls

4 calls:

21.0ms	(* (sqrt (fma x (* x x) (* x x))) (sqrt (sqrt (fma x (* x x) (* x x)))))
2.0ms	(sqrt (fma x (* x x) (* x x)))
2.0ms	(sqrt (fma x (* x x) (* x x)))
2.0ms	(sqrt (fma x (* x x) (* x x)))

series291.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(* (sqrt (fma x (* x x) (* x x))) (sqrt (sqrt (fma x (* x x) (* x x)))))
57.0ms	(sqrt (fma x (* x x) (* x x)))
60.0ms	(sqrt (fma x (* x x) (* x x)))
63.0ms	(sqrt (fma x (* x x) (* x x)))

simplify2.4s

Counts

106 → 106

Iterations

Iter	Nodes
4	3344
3	1243
2	556
1	255
0	119

prune1.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes18.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
1	3
0	3

end0.0ms

sample1.1s

Algorithm

intervals

Results

620.0ms	8000×	pre	80	true
402.0ms	8000×	body	80	valid