Details

sample31.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
8.0ms	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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma x (* x x) (* 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` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

1 → 11

Calls

1 calls:

0.0ms

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

series103.0ms

Counts

1 → 3

Calls

1 calls:

103.0ms

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

simplify8.4s

Counts

14 → 14

Iterations

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

prune116.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (fma x (* x x) (* x x))) (cbrt (fma x (* x x) (* x x))))
28.2b	(cbrt (fma x (* x x) (* x x)))
28.2b	(cbrt (fma x (* x x) (* x x)))
28.2b	(cbrt (fma x (* x x) (* x x)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 85

Calls

4 calls:

17.0ms	(* (cbrt (fma x (* x x) (* x x))) (cbrt (fma x (* x x) (* x x))))
1.0ms	(cbrt (fma x (* x x) (* x x)))
1.0ms	(cbrt (fma x (* x x) (* x x)))
2.0ms	(cbrt (fma x (* x x) (* x x)))

series250.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* (cbrt (fma x (* x x) (* x x))) (cbrt (fma x (* x x) (* x x))))
68.0ms	(cbrt (fma x (* x x) (* x x)))
61.0ms	(cbrt (fma x (* x x) (* x x)))
64.0ms	(cbrt (fma x (* x x) (* x x)))

simplify2.6s

Counts

97 → 97

Iterations

Iter	Nodes
4	3319
3	1313
2	585
1	252
0	106

prune960.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma x (* x x) (* x x))
0.1b	(* (* (fma x (* x x) (* x x)) (fma x (* x x) (* x x))) (fma x (* x x) (* x x)))
0.2b	(* (fma x (* x x) (* x x)) (fma x (* x x) (* x x)))
19.9b	(cbrt (* (* (fma x (* x x) (* x x)) (fma x (* x x) (* x x))) (fma x (* x x) (* x x))))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

30×	`pow1`
12×	`add-sqr-sqrt`
11×	`add-cbrt-cube` `add-exp-log`
9×	`*-un-lft-identity` `add-cube-cbrt`
7×	`pow-plus` `pow-prod-up`
6×	`associate-r`
5×	`fma-udef`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow2` `swap-sqr` `pow-sqr`
2×	`distribute-rgt-in` `distribute-lft-in` `pow3` `*-commutative` `unswap-sqr`
1×	`cbrt-prod` `pow1/3` `rem-cbrt-cube`

Counts

4 → 87

Calls

4 calls:

0.0ms	(fma x (* x x) (* x x))
31.0ms	(* (* (fma x (* x x) (* x x)) (fma x (* x x) (* x x))) (fma x (* x x) (* x x)))
12.0ms	(* (fma x (* x x) (* x x)) (fma x (* x x) (* x x)))
21.0ms	(cbrt (* (* (fma x (* x x) (* x x)) (fma x (* x x) (* x x))) (fma x (* x x) (* x x))))

series324.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(fma x (* x x) (* x x))
35.0ms	(* (* (fma x (* x x) (* x x)) (fma x (* x x) (* x x))) (fma x (* x x) (* x x)))
48.0ms	(* (fma x (* x x) (* x x)) (fma x (* x x) (* x x)))
124.0ms	(cbrt (* (* (fma x (* x x) (* x x)) (fma x (* x x) (* x x))) (fma x (* x x) (* x x))))

simplify1.3s

Counts

99 → 99

Iterations

Iter	Nodes
3	2566
2	697
1	218
0	98

prune878.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (sqrt (fma x (* x x) (* x x))) (fma x (* x x) (* x x)))
19.9b	(cbrt (* (* (sqrt (fma x (* x x) (* x x))) (* (sqrt (fma x (* x x) (* x x))) (fma x (* x x) (* x x)))) (fma x (* x x) (* x x))))
27.3b	(sqrt (fma x (* x x) (* x x)))
27.3b	(sqrt (fma x (* x x) (* x x)))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

15.0ms	(* (sqrt (fma x (* x x) (* x x))) (fma x (* x x) (* x x)))
72.0ms	(cbrt (* (* (sqrt (fma x (* x x) (* x x))) (* (sqrt (fma x (* x x) (* x x))) (fma x (* x x) (* x x)))) (fma x (* x x) (* x x))))
2.0ms	(sqrt (fma x (* x x) (* x x)))
2.0ms	(sqrt (fma x (* x x) (* x x)))

series301.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(* (sqrt (fma x (* x x) (* x x))) (fma x (* x x) (* x x)))
99.0ms	(cbrt (* (* (sqrt (fma x (* x x) (* x x))) (* (sqrt (fma x (* x x) (* x x))) (fma x (* x x) (* x x)))) (fma x (* x x) (* x x))))
50.0ms	(sqrt (fma x (* x x) (* x x)))
59.0ms	(sqrt (fma x (* x x) (* x x)))

simplify910.0ms

Counts

88 → 88

Iterations

Iter	Nodes
3	2154
2	638
1	214
0	102

prune789.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes40.0ms

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

sample790.0ms

Algorithm

intervals

Results

424.0ms	8000×	body	80	valid
252.0ms	8000×	pre	80	true