Details

sample51.0ms

Algorithm

intervals

Results

21.0ms	249×	body	80	nan
16.0ms	275×	body	80	valid

simplify131.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	173
8	173
7	167
6	140
5	126
4	101
3	80
2	51
1	21
0	10

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize14.0ms

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))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
16×	`associate-l`
15×	`*-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×	`expm1-log1p-u` `fma-def` `flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `insert-posit16` `log1p-expm1-u`
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 → 83

Calls

3 calls:

9.0ms	(+ x (* y (sqrt z)))
21.0ms	(* (/ 1.0 2.0) (+ x (* y (sqrt z))))
8.0ms	(* y (sqrt z))

series173.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(+ x (* y (sqrt z)))
64.0ms	(* (/ 1.0 2.0) (+ x (* y (sqrt z))))
60.0ms	(* y (sqrt z))

simplify754.0ms

Counts

92 → 92

Iterations

Iter	Nodes
done	2000
2	1906
1	523
0	166

prune351.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

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×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3` `*-commutative`
1×	`unswap-sqr`

Counts

4 → 76

Calls

4 calls:

8.0ms	(* (fabs (cbrt z)) y)
23.0ms	(* (* (fabs (cbrt z)) y) (sqrt (cbrt z)))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series718.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (fabs (cbrt z)) y)
147.0ms	(* (* (fabs (cbrt z)) y) (sqrt (cbrt z)))
271.0ms	(cbrt z)
276.0ms	(cbrt z)

simplify986.0ms

Counts

88 → 88

Iterations

Iter	Nodes
done	2003
3	1880
2	638
1	231
0	106

prune373.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.2b

localize30.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 107

Calls

4 calls:

10.0ms	(* (cbrt (sqrt z)) (cbrt (sqrt z)))
1.0ms	(cbrt z)
1.0ms	(cbrt (sqrt z))
1.0ms	(cbrt (sqrt z))

series1.1s

Counts

4 → 12

Calls

4 calls:

231.0ms	(* (cbrt (sqrt z)) (cbrt (sqrt z)))
230.0ms	(cbrt z)
195.0ms	(cbrt (sqrt z))
462.0ms	(cbrt (sqrt z))

simplify677.0ms

Counts

119 → 119

Iterations

Iter	Nodes
done	2002
3	1259
2	473
1	198
0	98

prune605.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.2b

localize42.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

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-l`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod`
1×	`associate-r` `*-commutative`

Counts

4 → 66

Calls

4 calls:

19.0ms	(* (sqrt (fabs (cbrt z))) (* (sqrt (fabs (cbrt z))) y))
5.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series749.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (sqrt (fabs (cbrt z))) (* (sqrt (fabs (cbrt z))) y))
266.0ms	(cbrt z)
230.0ms	(cbrt z)
222.0ms	(cbrt z)

simplify864.0ms

Counts

78 → 78

Iterations

Iter	Nodes
done	2000
4	1196
3	688
2	342
1	140
0	68

prune329.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.2b

regimes325.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	13
1	13
0	10

end0.0ms

sample2.1s

Algorithm

intervals

Results

734.0ms	8545×	body	80	valid
733.0ms	8470×	body	80	nan