Details

sample24.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
6.0ms	256×	pre	80	true

simplify2.9s

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

localize11.0ms

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))

series104.0ms

Counts

1 → 3

Calls

1 calls:

104.0ms

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

simplify2.3s

Counts

14 → 14

Iterations

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

prune43.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (fma x (* x x) (* x x))) (cbrt (fma x (* x x) (* x x))))
29.0b	(cbrt (fma x (* x x) (* x x)))
29.0b	(cbrt (fma x (* x x) (* x x)))
29.0b	(cbrt (fma x (* x x) (* x x)))

rewrite21.0ms

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:

15.0ms	(* (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)))

series260.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(* (cbrt (fma x (* x x) (* x x))) (cbrt (fma x (* x x) (* x x))))
56.0ms	(cbrt (fma x (* x x) (* x x)))
56.0ms	(cbrt (fma x (* x x) (* x x)))
74.0ms	(cbrt (fma x (* x x) (* x x)))

simplify1.5s

Counts

97 → 97

Iterations

Iter	Nodes
done	5000
3	1945
2	702
1	255
0	106

prune358.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

29.0b	(cbrt (fma x (* x x) (* x x)))
29.0b	(cbrt (fma x (* x x) (* x x)))
29.0b	(cbrt (fma x (* x x) (* x x)))
29.0b	(cbrt (fma x (* x x) (* x x)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`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 → 56

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

series249.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(cbrt (fma x (* x x) (* x x)))
55.0ms	(cbrt (fma x (* x x) (* x x)))
67.0ms	(cbrt (fma x (* x x) (* x x)))
60.0ms	(cbrt (fma x (* x x) (* x x)))

simplify1.7s

Counts

68 → 68

Iterations

Iter	Nodes
done	5001
4	2457
3	858
2	316
1	123
0	55

prune532.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize28.0ms

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)))
20.6b	(cbrt (* (* (fma x (* x x) (* x x)) (fma x (* x x) (* x x))) (fma x (* x x) (* x x))))

rewrite43.0ms

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))
19.0ms	(* (* (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)))
14.0ms	(cbrt (* (* (fma x (* x x) (* x x)) (fma x (* x x) (* x x))) (fma x (* x x) (* x x))))

series285.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(fma x (* x x) (* x x))
36.0ms	(* (* (fma x (* x x) (* x x)) (fma x (* x x) (* x x))) (fma x (* x x) (* x x)))
39.0ms	(* (fma x (* x x) (* x x)) (fma x (* x x) (* x x)))
105.0ms	(cbrt (* (* (fma x (* x x) (* x x)) (fma x (* x x) (* x x))) (fma x (* x x) (* x x))))

simplify2.8s

Counts

99 → 99

Iterations

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

prune360.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes23.0ms

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

sample678.0ms

Algorithm

intervals

Results

327.0ms	8000×	body	80	valid
227.0ms	8000×	pre	80	true