Details

sample66.0ms

Algorithm

intervals

Results

24.0ms	249×	body	80	nan
23.0ms	275×	body	80	valid

simplify99.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	119
8	119
7	117
6	113
5	102
4	86
3	66
2	47
1	21
0	10

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (sqrt z)))
0.2b	(* (/ 1.0 2.0) (+ x (* y (sqrt z))))
0.2b	(* y (sqrt z))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
16×	`associate-l`
14×	`*-un-lft-identity` `add-cube-cbrt`
10×	`times-frac` `add-cbrt-cube` `add-exp-log`
9×	`associate-r`
7×	`pow1`
5×	`add-log-exp`
4×	`sqrt-prod` `unswap-sqr`
3×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `insert-posit16`
2×	`frac-times` `pow-prod-down` `associate-r/` `-commutative`
1×	`distribute-rgt-in` `cbrt-undiv` `+-commutative` `sum-log` `distribute-lft-in` `div-exp` `associate-*l/` `div-inv`

Counts

3 → 74

Calls

3 calls:

5.0ms	(+ x (* y (sqrt z)))
15.0ms	(* (/ 1.0 2.0) (+ x (* y (sqrt z))))
7.0ms	(* y (sqrt z))

series141.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(+ x (* y (sqrt z)))
55.0ms	(* (/ 1.0 2.0) (+ x (* y (sqrt z))))
48.0ms	(* y (sqrt z))

simplify701.0ms

Counts

83 → 83

Iterations

Iter	Nodes
done	2002
2	1845
1	507
0	160

prune397.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize37.0ms

Local error

Found 4 expressions with local error:

0.3b	(* y (fabs (cbrt z)))
0.3b	(* (* y (fabs (cbrt z))) (sqrt (cbrt z)))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-r`
11×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
9×	`cbrt-prod`
6×	`sqrt-prod`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
2×	`pow1/3` `*-commutative`
1×	`unswap-sqr`

Counts

4 → 68

Calls

4 calls:

10.0ms	(* y (fabs (cbrt z)))
28.0ms	(* (* y (fabs (cbrt z))) (sqrt (cbrt z)))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series676.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* y (fabs (cbrt z)))
135.0ms	(* (* y (fabs (cbrt z))) (sqrt (cbrt z)))
266.0ms	(cbrt z)
243.0ms	(cbrt z)

simplify476.0ms

Counts

80 → 80

Iterations

Iter	Nodes
done	2002
2	645
1	229
0	100

prune327.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.2b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sqrt z)) (cbrt (sqrt z)))
0.6b	(cbrt z)
0.6b	(cbrt (sqrt z))
0.6b	(cbrt (sqrt z))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

55×	`cbrt-prod`
43×	`add-sqr-sqrt`
26×	`sqrt-prod`
21×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1` `swap-sqr`
9×	`pow1/3` `associate-r` `associate-l` `unswap-sqr`
6×	`add-exp-log`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 99

Calls

4 calls:

9.0ms	(* (cbrt (sqrt z)) (cbrt (sqrt z)))
1.0ms	(cbrt z)
1.0ms	(cbrt (sqrt z))
1.0ms	(cbrt (sqrt z))

series756.0ms

Counts

4 → 12

Calls

4 calls:

199.0ms	(* (cbrt (sqrt z)) (cbrt (sqrt z)))
203.0ms	(cbrt z)
183.0ms	(cbrt (sqrt z))
170.0ms	(cbrt (sqrt z))

simplify575.0ms

Counts

111 → 111

Iterations

Iter	Nodes
done	2002
3	1208
2	453
1	190
0	92

prune462.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.2b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* y (sqrt (fabs (cbrt z)))) (sqrt (fabs (cbrt z))))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
6×	`associate-r`
4×	`insert-posit16` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod`
1×	`associate-l` `*-commutative`

Counts

4 → 58

Calls

4 calls:

20.0ms	(* (* y (sqrt (fabs (cbrt z)))) (sqrt (fabs (cbrt z))))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.0s

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (* y (sqrt (fabs (cbrt z)))) (sqrt (fabs (cbrt z))))
198.0ms	(cbrt z)
557.0ms	(cbrt z)
264.0ms	(cbrt z)

simplify840.0ms

Counts

70 → 70

Iterations

Iter	Nodes
done	2002
3	1397
2	507
1	155
0	69

prune316.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.2b

regimes380.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	13
1	13
0	10

end0.0ms

sample2.0s

Algorithm

intervals

Results

777.0ms	8470×	body	80	nan
715.0ms	8545×	body	80	valid