Details

sample25.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
6.0ms	256×	pre	80	true

simplify888.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	618
4	144
3	48
2	30
1	14
0	4

prune12.0ms

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` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

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

series106.0ms

Counts

1 → 3

Calls

1 calls:

105.0ms

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

simplify848.0ms

Counts

13 → 13

Iterations

Iter	Nodes
done	5002
3	903
2	130
1	31
0	18

prune63.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma x (* x x) (* x x))
0.1b	(* (sqrt (fma x (* x x) (* x x))) (sqrt (fma x (* x x) (* x x))))
25.7b	(sqrt (fma x (* x x) (* x x)))
25.7b	(sqrt (fma x (* x x) (* x x)))

rewrite16.0ms

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` `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 → 91

Calls

4 calls:

0.0ms	(fma x (* x x) (* x x))
10.0ms	(* (sqrt (fma x (* x x) (* x x))) (sqrt (fma x (* x x) (* x x))))
1.0ms	(sqrt (fma x (* x x) (* x x)))
1.0ms	(sqrt (fma x (* x x) (* x x)))

series333.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(fma x (* x x) (* x x))
115.0ms	(* (sqrt (fma x (* x x) (* x x))) (sqrt (fma x (* x x) (* x x))))
70.0ms	(sqrt (fma x (* x x) (* x x)))
49.0ms	(sqrt (fma x (* x x) (* x x)))

simplify2.5s

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
3	2773
2	502
1	161
0	80

prune284.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(* x (fma x x x))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `-un-lft-identity` `add-cbrt-cube` `associate-r` `associate-l*` `add-exp-log` `add-cube-cbrt`
2×	`fma-udef`
1×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 22

Calls

1 calls:

6.0ms

(* x (fma x x x))

series83.0ms

Counts

1 → 3

Calls

1 calls:

83.0ms

(* x (fma x x x))

simplify1.9s

Counts

25 → 25

Iterations

Iter	Nodes
done	5000
3	3444
2	410
1	85
0	38

prune71.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (fma x (* x x) (* x x))) (cbrt (fma x (* x x) (* x x))))
26.6b	(cbrt (fma x (* x x) (* x x)))
26.6b	(cbrt (fma x (* x x) (* x x)))
26.6b	(cbrt (fma x (* x x) (* x x)))

rewrite13.0ms

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` `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 → 81

Calls

4 calls:

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

series245.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(* (cbrt (fma x (* x x) (* x x))) (cbrt (fma x (* x x) (* x x))))
62.0ms	(cbrt (fma x (* x x) (* x x)))
57.0ms	(cbrt (fma x (* x x) (* x x)))
54.0ms	(cbrt (fma x (* x x) (* x x)))

simplify1.3s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	917
1	255
0	104

prune364.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes37.0ms

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

sample486.0ms

Algorithm

intervals

Results

214.0ms	8000×	body	80	valid
137.0ms	8000×	pre	80	true