Details

sample33.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
12.0ms	256×	pre	80	true

simplify7.8s

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

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))

series91.0ms

Counts

1 → 3

Calls

1 calls:

91.0ms

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

simplify7.3s

Counts

14 → 14

Iterations

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

prune111.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

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))))
31.3b	(sqrt (fma x (* x x) (* x x)))
31.3b	(sqrt (fma x (* x x) (* x x)))

rewrite21.0ms

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))
15.0ms	(* (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)))

series309.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(fma x (* x x) (* x x))
104.0ms	(* (sqrt (fma x (* x x) (* x x))) (sqrt (fma x (* x x) (* x x))))
65.0ms	(sqrt (fma x (* x x) (* x x)))
58.0ms	(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

prune876.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (sqrt (sqrt (fma x (* x x) (* x x)))) (sqrt (sqrt (fma x (* x x) (* x x)))))
31.3b	(sqrt (fma x (* x x) (* x x)))
31.3b	(sqrt (fma x (* x x) (* x x)))
31.3b	(sqrt (fma x (* x x) (* x x)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

75×	`sqrt-prod`
52×	`add-sqr-sqrt`
35×	`sqrt-pow1`
30×	`pow1`
19×	`*-un-lft-identity` `pow1/2` `add-cube-cbrt`
15×	`swap-sqr`
9×	`associate-r` `associate-l` `pow-prod-up` `unswap-sqr`
6×	`add-cbrt-cube` `add-exp-log`
5×	`pow-prod-down` `pow-sqr`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`rem-sqrt-square`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 126

Calls

4 calls:

22.0ms	(* (sqrt (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)))

series248.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* (sqrt (sqrt (fma x (* x x) (* x x)))) (sqrt (sqrt (fma x (* x x) (* x x)))))
63.0ms	(sqrt (fma x (* x x) (* x x)))
64.0ms	(sqrt (fma x (* x x) (* x x)))
67.0ms	(sqrt (fma x (* x x) (* x x)))

simplify1.2s

Counts

138 → 138

Iterations

Iter	Nodes
4	2771
3	867
2	384
1	194
0	100

prune1.3s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma x (* x x) (* x x))
0.0b	(* (fma x (* x x) (* x x)) (* (fma x (* x x) (* x x)) (fma x (* x x) (* x x))))
0.1b	(* (fma x (* x x) (* x x)) (fma x (* x x) (* x x)))
20.8b	(cbrt (* (fma x (* x x) (* x x)) (* (fma x (* x x) (* x x)) (fma x (* x x) (* x x)))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1`
12×	`add-sqr-sqrt`
11×	`add-cbrt-cube` `add-exp-log`
9×	`*-un-lft-identity` `add-cube-cbrt`
7×	`fma-udef`
6×	`associate-l` `pow-prod-up`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`swap-sqr`
2×	`pow2` `pow-plus` `cube-unmult` `pow-sqr` `*-commutative` `unswap-sqr`
1×	`cbrt-prod` `pow1/3` `rem-cbrt-cube`

Counts

4 → 85

Calls

4 calls:

0.0ms	(fma x (* x x) (* x x))
21.0ms	(* (fma x (* x x) (* x x)) (* (fma x (* x x) (* x x)) (fma x (* x x) (* x x))))
7.0ms	(* (fma x (* x x) (* x x)) (fma x (* x x) (* x x)))
10.0ms	(cbrt (* (fma x (* x x) (* x x)) (* (fma x (* x x) (* x x)) (fma x (* x x) (* x x)))))

series280.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(fma x (* x x) (* x x))
49.0ms	(* (fma x (* x x) (* x x)) (* (fma x (* x x) (* x x)) (fma x (* x x) (* x x))))
33.0ms	(* (fma x (* x x) (* x x)) (fma x (* x x) (* x x)))
106.0ms	(cbrt (* (fma x (* x x) (* x x)) (* (fma x (* x x) (* x x)) (fma x (* x x) (* x x)))))

simplify2.2s

Counts

97 → 97

Iterations

Iter	Nodes
3	3226
2	742
1	213
0	104

prune908.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes43.0ms

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

sample922.0ms

Algorithm

intervals

Results

466.0ms	8000×	body	80	valid
302.0ms	8000×	pre	80	true