Details

sample39.0ms

Algorithm

intervals

Results

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

simplify8.3s

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

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))

series100.0ms

Counts

1 → 3

Calls

1 calls:

100.0ms

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

simplify7.6s

Counts

14 → 14

Iterations

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

prune102.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

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))))
30.1b	(sqrt (fma x (* x x) (* x x)))
30.1b	(sqrt (fma x (* x x) (* x x)))

rewrite25.0ms

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))
18.0ms	(* (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)))

series343.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(fma x (* x x) (* x x))
130.0ms	(* (sqrt (fma x (* x x) (* x x))) (sqrt (fma x (* x x) (* x x))))
59.0ms	(sqrt (fma x (* x x) (* x x)))
59.0ms	(sqrt (fma x (* x x) (* x x)))

simplify2.5s

Counts

107 → 107

Iterations

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

prune496.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (fabs (cbrt (fma x (* x x) (* x x)))) (sqrt (cbrt (fma x (* x x) (* x x)))))
30.1b	(sqrt (fma x (* x x) (* x x)))
31.0b	(cbrt (fma x (* x x) (* x x)))
31.0b	(cbrt (fma x (* x x) (* x x)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

12.0ms	(* (fabs (cbrt (fma x (* x x) (* x x)))) (sqrt (cbrt (fma x (* x x) (* x x)))))
1.0ms	(sqrt (fma x (* x x) (* x x)))
1.0ms	(cbrt (fma x (* x x) (* x x)))
1.0ms	(cbrt (fma x (* x x) (* x x)))

series273.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(* (fabs (cbrt (fma x (* x x) (* x x)))) (sqrt (cbrt (fma x (* x x) (* x x)))))
54.0ms	(sqrt (fma x (* x x) (* x x)))
75.0ms	(cbrt (fma x (* x x) (* x x)))
61.0ms	(cbrt (fma x (* x x) (* x x)))

simplify2.0s

Counts

85 → 85

Iterations

Iter	Nodes
3	2760
2	1028
1	369
0	163

prune778.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

30.1b	(sqrt (fma x (* x x) (* x x)))
30.1b	(sqrt (fma x (* x x) (* x x)))
30.1b	(sqrt (fma x (* x x) (* x x)))
30.1b	(sqrt (fma x (* x x) (* x x)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `sqrt-prod`
8×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `rem-sqrt-square` `sqrt-pow1` `add-cbrt-cube` `pow1/2` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 64

Calls

4 calls:

3.0ms	(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)))
2.0ms	(sqrt (fma x (* x x) (* x x)))

series201.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(sqrt (fma x (* x x) (* x x)))
60.0ms	(sqrt (fma x (* x x) (* x x)))
44.0ms	(sqrt (fma x (* x x) (* x x)))
55.0ms	(sqrt (fma x (* x x) (* x x)))

simplify1.2s

Counts

76 → 76

Iterations

Iter	Nodes
5	2208
4	915
3	377
2	167
1	76
0	40

prune655.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes19.0ms

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

sample846.0ms

Algorithm

intervals

Results

443.0ms	8000×	body	80	valid
283.0ms	8000×	pre	80	true