Details

sample27.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
7.0ms	256×	pre	80	true

simplify2.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
8	2702
7	1178
6	421
5	190
4	93
3	48
2	30
1	14
0	4

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

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))

series114.0ms

Counts

1 → 3

Calls

1 calls:

114.0ms

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

simplify2.0s

Counts

14 → 14

Iterations

Iter	Nodes
done	5001
4	1269
3	273
2	85
1	31
0	19

prune36.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

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)))
0.1b	(* (fma x (* x x) (* x x)) (fma x (* x x) (* x x)))
22.8b	(cbrt (* (* (fma x (* x x) (* x x)) (fma x (* x x) (* x x))) (fma x (* x x) (* x x))))

rewrite34.0ms

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))
16.0ms	(* (* (fma x (* x x) (* x x)) (fma x (* x x) (* x x))) (fma x (* x x) (* x x)))
6.0ms	(* (fma x (* x x) (* x x)) (fma x (* x x) (* x x)))
11.0ms	(cbrt (* (* (fma x (* x x) (* x x)) (fma x (* x x) (* x x))) (fma x (* x x) (* x x))))

series233.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(fma x (* x x) (* x x))
34.0ms	(* (* (fma x (* x x) (* x x)) (fma x (* x x) (* x x))) (fma x (* x x) (* x x)))
34.0ms	(* (fma x (* x x) (* x x)) (fma x (* x x) (* x x)))
83.0ms	(cbrt (* (* (fma x (* x x) (* x x)) (fma x (* x x) (* x x))) (fma x (* x x) (* x x))))

simplify2.3s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
3	2964
2	689
1	225
0	98

prune299.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (sqrt (fma x (* x x) (* x x))) (* (sqrt (fma x (* x x) (* x x))) (fma x (* x x) (* x x))))
22.8b	(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))))
27.6b	(sqrt (fma x (* x x) (* x x)))
27.6b	(sqrt (fma x (* x x) (* x x)))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

33.0ms	(* (sqrt (fma x (* x x) (* x x))) (* (sqrt (fma x (* x x) (* x x))) (fma x (* x x) (* x x))))
69.0ms	(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))))
1.0ms	(sqrt (fma x (* x x) (* x x)))
1.0ms	(sqrt (fma x (* x x) (* x x)))

series227.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (sqrt (fma x (* x x) (* x x))) (* (sqrt (fma x (* x x) (* x x))) (fma x (* x x) (* x x))))
90.0ms	(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))))
42.0ms	(sqrt (fma x (* x x) (* x x)))
62.0ms	(sqrt (fma x (* x x) (* x x)))

simplify2.3s

Counts

93 → 93

Iterations

Iter	Nodes
done	5006
3	2504
2	645
1	248
0	109

prune358.0ms

Pruning

2 alts after pruning (0 fresh and 2 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
done	3
0	3

end0.0ms

sample1.1s

Algorithm

intervals

Results

389.0ms	8000×	body	80	valid
232.0ms	8000×	pre	80	true