Details

sample31.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
7.0ms	256×	pre	80	true

simplify4.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	1698
6	493
5	205
4	102
3	48
2	30
1	14
0	4

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

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:

1.0ms

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

series124.0ms

Counts

1 → 3

Calls

1 calls:

124.0ms

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

simplify2.0s

Counts

14 → 14

Iterations

Iter	Nodes
done	5000
4	1505
3	331
2	89
1	31
0	19

prune43.0ms

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)))
0.2b	(* (fma x (* x x) (* x x)) (fma x (* x x) (* x x)))
21.3b	(cbrt (* (* (fma x (* x x) (* x x)) (fma x (* x x) (* x x))) (fma x (* x x) (* x x))))

rewrite47.0ms

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))
24.0ms	(* (* (fma x (* x x) (* x x)) (fma x (* x x) (* x x))) (fma x (* x x) (* x x)))
8.0ms	(* (fma x (* x x) (* x x)) (fma x (* x x) (* x x)))
14.0ms	(cbrt (* (* (fma x (* x x) (* x x)) (fma x (* x x) (* x x))) (fma x (* x x) (* x x))))

series268.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(fma x (* x x) (* x x))
38.0ms	(* (* (fma x (* x x) (* x x)) (fma x (* x x) (* x x))) (fma x (* x x) (* x x)))
32.0ms	(* (fma x (* x x) (* x x)) (fma x (* x x) (* x x)))
114.0ms	(cbrt (* (* (fma x (* x x) (* x x)) (fma x (* x x) (* x x))) (fma x (* x x) (* x x))))

simplify2.4s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
3	3094
2	693
1	225
0	98

prune316.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (fma x (* x x) (* x x)) (fma x (* x x) (* x x)))
0.2b	(* (cbrt (* (fma x (* x x) (* x x)) (fma x (* x x) (* x x)))) (cbrt (fma x (* x x) (* x x))))
27.1b	(cbrt (fma x (* x x) (* x x)))
28.3b	(cbrt (* (fma x (* x x) (* x x)) (fma x (* x x) (* x x))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

9.0ms	(* (fma x (* x x) (* x x)) (fma x (* x x) (* x x)))
16.0ms	(* (cbrt (* (fma x (* x x) (* x x)) (fma x (* x x) (* x x)))) (cbrt (fma x (* x x) (* x x))))
1.0ms	(cbrt (fma x (* x x) (* x x)))
5.0ms	(cbrt (* (fma x (* x x) (* x x)) (fma x (* x x) (* x x))))

series282.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (fma x (* x x) (* x x)) (fma x (* x x) (* x x)))
102.0ms	(* (cbrt (* (fma x (* x x) (* x x)) (fma x (* x x) (* x x)))) (cbrt (fma x (* x x) (* x x))))
59.0ms	(cbrt (fma x (* x x) (* x x)))
77.0ms	(cbrt (* (fma x (* x x) (* x x)) (fma x (* x x) (* x x))))

simplify2.5s

Counts

98 → 98

Iterations

Iter	Nodes
done	5000
3	4099
2	1086
1	331
0	147

prune329.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

27.1b	(cbrt (fma x (* x x) (* x x)))
27.1b	(cbrt (fma x (* x x) (* x x)))
27.1b	(cbrt (fma x (* x x) (* x x)))
28.3b	(cbrt (* (fma x (* x x) (* x x)) (fma x (* x x) (* x x))))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 54

Calls

4 calls:

1.0ms	(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)))
3.0ms	(cbrt (* (fma x (* x x) (* x x)) (fma x (* x x) (* x x))))

series231.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(cbrt (fma x (* x x) (* x x)))
57.0ms	(cbrt (fma x (* x x) (* x x)))
52.0ms	(cbrt (fma x (* x x) (* x x)))
59.0ms	(cbrt (* (fma x (* x x) (* x x)) (fma x (* x x) (* x x))))

simplify2.7s

Counts

66 → 66

Iterations

Iter	Nodes
done	5000
4	4716
3	1626
2	551
1	198
0	87

prune403.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes21.0ms

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

sample940.0ms

Algorithm

intervals

Results

493.0ms	8000×	pre	80	true
348.0ms	8000×	body	80	valid