Details

sample104.0ms

Algorithm

intervals

Results

35.0ms	42×	body	1280	valid
27.0ms	193×	body	80	valid
17.0ms	28×	body	640	valid
8.0ms	18×	body	320	valid
1.0ms	4×	body	160	valid

simplify89.0ms

Counts

1 → 1

Iterations

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.4b

localize20.0ms

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)

rewrite53.0ms

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×	`expm1-log1p-u` `associate-l` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-*r/` `unswap-sqr`
1×	`pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 92

Calls

3 calls:

20.0ms	(* x (/ (sin y) y))
13.0ms	(/ (sin y) y)
19.0ms	(/ (* x (/ (sin y) y)) z)

series232.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(* x (/ (sin y) y))
45.0ms	(/ (sin y) y)
102.0ms	(/ (* x (/ (sin y) y)) z)

simplify625.0ms

Counts

101 → 101

Iterations

Iter	Nodes
done	2000
2	1190
1	347
0	148

prune438.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

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))

rewrite35.0ms

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×	`expm1-log1p-u` `associate-l` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`clear-num` `frac-2neg`
1×	`pow-prod-down` `associate-r/` `-commutative` `associate-/l/`

Counts

3 → 171

Calls

3 calls:

11.0ms	(/ (/ (sin y) y) z)
8.0ms	(/ (sin y) y)
14.0ms	(* x (/ (/ (sin y) y) z))

series145.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(/ (/ (sin y) y) z)
30.0ms	(/ (sin y) y)
76.0ms	(* x (/ (/ (sin y) y) z))

simplify412.0ms

Counts

180 → 180

Iterations

Iter	Nodes
done	2000
1	640
0	257

prune907.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize21.0ms

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)))

rewrite86.0ms

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×	`expm1-log1p-u` `associate-/r` `insert-posit16` `log1p-expm1-u` `div-inv` `associate-/l` `add-log-exp`
2×	`frac-times` `associate-l/` `un-div-inv` `-commutative`
1×	`clear-num` `frac-2neg`

Counts

3 → 125

Calls

3 calls:

16.0ms	(/ (sin y) y)
30.0ms	(* (/ (sin y) y) (/ 1 z))
37.0ms	(* x (* (/ (sin y) y) (/ 1 z)))

series211.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(/ (sin y) y)
46.0ms	(* (/ (sin y) y) (/ 1 z))
122.0ms	(* x (* (/ (sin y) y) (/ 1 z)))

simplify736.0ms

Counts

134 → 134

Iterations

Iter	Nodes
done	2011
2	1962
1	558
0	202

prune471.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize14.0ms

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))

rewrite66.0ms

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×	`expm1-log1p-u` `rec-exp` `associate-/r` `1-exp` `associate-r/` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`pow-prod-down` `un-div-inv` `*-commutative` `associate-/l/`
1×	`clear-num` `frac-2neg` `associate-/l*`

Counts

3 → 103

Calls

3 calls:

23.0ms	(/ (* (sin y) (/ 1 y)) z)
21.0ms	(* (sin y) (/ 1 y))
20.0ms	(* x (/ (* (sin y) (/ 1 y)) z))

series190.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(/ (* (sin y) (/ 1 y)) z)
44.0ms	(* (sin y) (/ 1 y))
102.0ms	(* x (/ (* (sin y) (/ 1 y)) z))

simplify766.0ms

Counts

112 → 112

Iterations

Iter	Nodes
done	2033
2	1668
1	462
0	178

prune478.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes208.0ms

Accuracy

88.3% (0.3b remaining)

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

bsearch155.0ms

Steps

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

simplify6.0ms

Iterations

Iter	Nodes
done	24
1	24
0	18

end0.0ms

sample3.2s

Algorithm

intervals

Results

837.0ms	1061×	body	1280	valid
791.0ms	5887×	body	80	valid
671.0ms	941×	body	640	valid
591.0ms	565×	body	320	valid
72.0ms	288×	body	160	valid