Details

sample86.0ms

Algorithm

intervals

Results

40.0ms	268×	body	80	valid
24.0ms	216×	body	80	nan

simplify168.0ms

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: 0.2b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* y (sqrt z)))
0.3b	(* y (sqrt z))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
6×	`associate-r`
5×	`*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `sqrt-prod` `add-log-exp`
3×	`associate-l`
2×	`insert-posit16` `unswap-sqr`
1×	`+-commutative` `sum-log` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 35

Calls

2 calls:

9.0ms	(+ x (* y (sqrt z)))
11.0ms	(* y (sqrt z))

series103.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(+ x (* y (sqrt z)))
61.0ms	(* y (sqrt z))

simplify2.0s

Counts

41 → 41

Iterations

Iter	Nodes
done	5001
3	2032
2	690
1	229
0	88

prune200.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt z))
0.1b	(sqrt (sqrt z))
0.3b	(* y (sqrt (sqrt z)))
0.3b	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

41×	`sqrt-prod`
25×	`add-sqr-sqrt`
18×	`associate-r`
15×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
11×	`add-cbrt-cube` `add-exp-log`
8×	`sqrt-pow1`
4×	`rem-sqrt-square` `pow1/2` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`unswap-sqr`
2×	`*-commutative`

Counts

4 → 92

Calls

4 calls:

2.0ms	(sqrt (sqrt z))
2.0ms	(sqrt (sqrt z))
18.0ms	(* y (sqrt (sqrt z)))
27.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series548.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(sqrt (sqrt z))
227.0ms	(sqrt (sqrt z))
86.0ms	(* y (sqrt (sqrt z)))
47.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify2.7s

Counts

104 → 104

Iterations

Iter	Nodes
done	5004
3	4986
2	1174
1	355
0	135

prune536.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* y (* (sqrt (fabs (cbrt z))) (sqrt (sqrt (cbrt z))))) (sqrt (sqrt z)))
0.4b	(* (sqrt (fabs (cbrt z))) (sqrt (sqrt (cbrt z))))
0.7b	(cbrt z)
0.7b	(cbrt z)

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

41×	`sqrt-prod`
31×	`add-sqr-sqrt`
21×	`associate-r`
17×	`pow1`
15×	`*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
11×	`cbrt-prod`
9×	`pow-prod-down`
8×	`unswap-sqr`
7×	`associate-l` `prod-exp` `cbrt-unprod`
4×	`insert-posit16` `add-log-exp`
2×	`sqrt-pow1` `pow1/2` `pow1/3` `*-commutative`
1×	`sqrt-unprod`

Counts

4 → 93

Calls

4 calls:

99.0ms	(* (* y (* (sqrt (fabs (cbrt z))) (sqrt (sqrt (cbrt z))))) (sqrt (sqrt z)))
13.0ms	(* (sqrt (fabs (cbrt z))) (sqrt (sqrt (cbrt z))))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.3s

Counts

4 → 12

Calls

4 calls:

247.0ms	(* (* y (* (sqrt (fabs (cbrt z))) (sqrt (sqrt (cbrt z))))) (sqrt (sqrt z)))
455.0ms	(* (sqrt (fabs (cbrt z))) (sqrt (sqrt (cbrt z))))
283.0ms	(cbrt z)
275.0ms	(cbrt z)

simplify2.5s

Counts

105 → 105

Iterations

Iter	Nodes
done	5001
2	1528
1	418
0	174

prune720.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.3b	(* y (sqrt (sqrt z)))
0.3b	(* (* (* y (sqrt (sqrt z))) (sqrt (fabs (cbrt z)))) (sqrt (sqrt (cbrt z))))
0.7b	(cbrt z)
0.7b	(cbrt z)

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

27×	`sqrt-prod`
21×	`associate-r`
20×	`add-sqr-sqrt`
15×	`pow1` `add-cbrt-cube` `add-exp-log`
14×	`*-un-lft-identity` `add-cube-cbrt`
9×	`cbrt-prod`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`associate-l` `insert-posit16` `add-log-exp`
3×	`unswap-sqr`
2×	`pow1/3` `*-commutative`

Counts

4 → 82

Calls

4 calls:

20.0ms	(* y (sqrt (sqrt z)))
138.0ms	(* (* (* y (sqrt (sqrt z))) (sqrt (fabs (cbrt z)))) (sqrt (sqrt (cbrt z))))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series898.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(* y (sqrt (sqrt z)))
236.0ms	(* (* (* y (sqrt (sqrt z))) (sqrt (fabs (cbrt z)))) (sqrt (sqrt (cbrt z))))
295.0ms	(cbrt z)
264.0ms	(cbrt z)

simplify2.0s

Counts

94 → 94

Iterations

Iter	Nodes
done	5002
2	1693
1	471
0	186

prune556.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes635.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	13
1	13
0	10

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.3s	8489×	body	80	nan
815.0ms	8519×	body	80	valid