Details

sample66.0ms

Algorithm

intervals

Results

22.0ms	42×	body	1280	valid
17.0ms	193×	body	80	valid
11.0ms	28×	body	640	valid
5.0ms	18×	body	320	valid
1.0ms	4×	body	160	valid

simplify54.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	78
6	78
5	76
4	65
3	40
2	22
1	12
0	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.4b

localize15.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
4.3b	(/ (* x (/ (sin y) y)) z)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
22×	`times-frac`
21×	`*-un-lft-identity` `add-cube-cbrt`
19×	`add-cbrt-cube` `add-exp-log`
13×	`associate-r`
6×	`cbrt-undiv` `associate-/r*` `div-exp`
5×	`pow1`
4×	`prod-exp` `cbrt-unprod` `associate-/l*`
3×	`associate-l` `insert-posit16` `div-inv` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-*r/` `unswap-sqr`
1×	`pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 86

Calls

3 calls:

13.0ms	(* x (/ (sin y) y))
7.0ms	(/ (sin y) y)
16.0ms	(/ (* x (/ (sin y) y)) z)

series206.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(* x (/ (sin y) y))
48.0ms	(/ (sin y) y)
92.0ms	(/ (* x (/ (sin y) y)) z)

simplify544.0ms

Counts

95 → 95

Iterations

Iter	Nodes
done	2001
2	1184
1	341
0	142

prune458.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (/ (sin y) y) z)
0.1b	(/ (sin y) y)
2.5b	(* x (/ (/ (sin y) y) z))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

153×	`times-frac`
98×	`add-sqr-sqrt`
89×	`*-un-lft-identity` `add-cube-cbrt`
43×	`associate-r`
19×	`add-cbrt-cube` `add-exp-log`
16×	`associate-/l*`
10×	`div-inv`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r*`
5×	`pow1`
3×	`associate-l` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`clear-num` `frac-2neg`
1×	`pow-prod-down` `associate-r/` `-commutative` `associate-/l/`

Counts

3 → 165

Calls

3 calls:

10.0ms	(/ (/ (sin y) y) z)
8.0ms	(/ (sin y) y)
28.0ms	(* x (/ (/ (sin y) y) z))

series206.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(/ (/ (sin y) y) z)
39.0ms	(/ (sin y) y)
102.0ms	(* x (/ (/ (sin y) y) z))

simplify503.0ms

Counts

174 → 174

Iterations

Iter	Nodes
done	2000
1	640
0	251

prune640.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sin y) y)
0.1b	(* (/ (sin y) y) (/ 1 z))
2.5b	(* x (* (/ (sin y) y) (/ 1 z)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

59×	`add-exp-log`
43×	`add-sqr-sqrt`
35×	`add-cbrt-cube`
34×	`times-frac`
28×	`*-un-lft-identity`
26×	`add-cube-cbrt`
25×	`prod-exp`
17×	`div-exp`
16×	`associate-l`
14×	`associate-r`
13×	`cbrt-unprod`
10×	`pow1`
9×	`cbrt-undiv`
6×	`associate-*r/` `unswap-sqr`
4×	`rec-exp` `1-exp` `pow-prod-down`
3×	`associate-/r` `insert-posit16` `div-inv` `associate-/l` `add-log-exp`
2×	`frac-times` `associate-l/` `un-div-inv` `-commutative`
1×	`clear-num` `frac-2neg`

Counts

3 → 119

Calls

3 calls:

9.0ms	(/ (sin y) y)
21.0ms	(* (/ (sin y) y) (/ 1 z))
30.0ms	(* x (* (/ (sin y) y) (/ 1 z)))

series152.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(/ (sin y) y)
39.0ms	(* (/ (sin y) y) (/ 1 z))
79.0ms	(* x (* (/ (sin y) y) (/ 1 z)))

simplify771.0ms

Counts

128 → 128

Iterations

Iter	Nodes
done	2000
2	1918
1	550
0	196

prune493.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (* (sin y) (/ 1 y)) z)
0.5b	(* (sin y) (/ 1 y))
2.5b	(* x (/ (* (sin y) (/ 1 y)) z))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log`
31×	`add-cbrt-cube`
25×	`add-sqr-sqrt`
20×	`associate-r`
18×	`prod-exp`
17×	`*-un-lft-identity` `times-frac`
16×	`div-exp` `add-cube-cbrt`
10×	`cbrt-unprod`
9×	`cbrt-undiv`
7×	`pow1`
6×	`associate-l`
4×	`unswap-sqr`
3×	`rec-exp` `associate-/r` `1-exp` `associate-r/` `insert-posit16` `div-inv` `add-log-exp`
2×	`pow-prod-down` `un-div-inv` `*-commutative` `associate-/l/`
1×	`clear-num` `frac-2neg` `associate-/l*`

Counts

3 → 97

Calls

3 calls:

27.0ms	(/ (* (sin y) (/ 1 y)) z)
15.0ms	(* (sin y) (/ 1 y))
19.0ms	(* x (/ (* (sin y) (/ 1 y)) z))

series207.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(/ (* (sin y) (/ 1 y)) z)
49.0ms	(* (sin y) (/ 1 y))
116.0ms	(* x (/ (* (sin y) (/ 1 y)) z))

simplify660.0ms

Counts

106 → 106

Iterations

Iter	Nodes
done	2010
2	1684
1	458
0	172

prune304.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes441.0ms

Accuracy

88.6% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 2.9b

bsearch166.0ms

Steps

Iters	Range		Point
10	3.002651438712696e-12	0.5242927222148749	0.0015208711258388175
7	-9.242862080727889e+95	-3.643757758093422e+93	-4.807101316999124e+93

simplify3.0ms

Iterations

Iter	Nodes
done	23
1	23
0	20

end0.0ms

sample3.2s

Algorithm

intervals

Results

879.0ms	1061×	body	1280	valid
802.0ms	5887×	body	80	valid
611.0ms	941×	body	640	valid
576.0ms	565×	body	320	valid
71.0ms	288×	body	160	valid