Details

sample72.0ms

Algorithm

intervals

Results

26.0ms	191×	body	80	valid
15.0ms	32×	body	1280	valid
10.0ms	31×	body	640	valid
2.0ms	12×	body	160	valid
2.0ms	9×	body	320	valid

simplify51.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	79
5	79
4	71
3	48
2	24
1	12
0	7

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.5b

localize21.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
3.4b	(/ (* x (/ (sin y) y)) z)

rewrite60.0ms

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` `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 → 89

Calls

3 calls:

19.0ms	(* x (/ (sin y) y))
11.0ms	(/ (sin y) y)
25.0ms	(/ (* x (/ (sin y) y)) z)

series207.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(* x (/ (sin y) y))
31.0ms	(/ (sin y) y)
103.0ms	(/ (* x (/ (sin y) y)) z)

simplify1.2s

Counts

98 → 98

Iterations

Iter	Nodes
done	5000
2	1731
1	352
0	145

prune581.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (/ 1 (/ y (sin y))))
0.1b	(/ 1 (/ y (sin y)))
0.1b	(/ y (sin y))
3.4b	(/ (* x (/ 1 (/ y (sin y)))) z)

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

159×	`times-frac`
106×	`add-sqr-sqrt`
94×	`*-un-lft-identity`
92×	`add-cube-cbrt`
64×	`add-exp-log`
44×	`associate-r`
34×	`add-cbrt-cube`
30×	`div-exp`
19×	`associate-/r*`
14×	`cbrt-undiv` `prod-exp`
11×	`div-inv`
7×	`pow1` `associate-/l*`
6×	`rec-exp` `1-exp` `cbrt-unprod`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-l`
2×	`associate-*r/` `associate-/r/` `un-div-inv` `associate-/l/`
1×	`pow-prod-down` `*-commutative` `pow-flip` `inv-pow`

Counts

4 → 215

Calls

4 calls:

30.0ms	(* x (/ 1 (/ y (sin y))))
15.0ms	(/ 1 (/ y (sin y)))
5.0ms	(/ y (sin y))
20.0ms	(/ (* x (/ 1 (/ y (sin y)))) z)

series280.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(* x (/ 1 (/ y (sin y))))
42.0ms	(/ 1 (/ y (sin y)))
39.0ms	(/ y (sin y))
99.0ms	(/ (* x (/ 1 (/ y (sin y)))) z)

simplify1.9s

Counts

227 → 227

Iterations

Iter	Nodes
done	5001
2	4294
1	820
0	294

prune1.2s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (/ 1 (/ y (sin y))) z)
0.1b	(/ 1 (/ y (sin y)))
0.1b	(/ y (sin y))
3.5b	(* x (/ (/ 1 (/ y (sin y))) z))

rewrite162.0ms

Algorithm

rewrite-expression-head

Rules

821×	`times-frac`
411×	`add-sqr-sqrt`
392×	`*-un-lft-identity`
390×	`add-cube-cbrt`
136×	`associate-r`
64×	`add-exp-log`
50×	`associate-/l*`
36×	`div-exp` `div-inv`
34×	`add-cbrt-cube`
19×	`associate-/r*`
16×	`cbrt-undiv`
8×	`prod-exp` `associate-/r/`
7×	`pow1`
6×	`rec-exp` `1-exp` `unswap-sqr`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-l`
1×	`pow-prod-down` `associate-r/` `-commutative` `pow-flip` `inv-pow` `associate-/l/`

Counts

4 → 478

Calls

4 calls:

25.0ms	(/ (/ 1 (/ y (sin y))) z)
17.0ms	(/ 1 (/ y (sin y)))
9.0ms	(/ y (sin y))
70.0ms	(* x (/ (/ 1 (/ y (sin y))) z))

series609.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(/ (/ 1 (/ y (sin y))) z)
47.0ms	(/ 1 (/ y (sin y)))
49.0ms	(/ y (sin y))
468.0ms	(* x (/ (/ 1 (/ y (sin y))) z))

simplify1.4s

Counts

490 → 490

Iterations

Iter	Nodes
done	5000
1	1874
0	653

prune2.8s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (/ (/ 1 y) (/ 1 (sin y))))
0.1b	(/ 1 (sin y))
0.2b	(/ (/ 1 y) (/ 1 (sin y)))
3.4b	(/ (* x (/ (/ 1 y) (/ 1 (sin y)))) z)

rewrite197.0ms

Algorithm

rewrite-expression-head

Rules

857×	`times-frac`
429×	`add-sqr-sqrt`
400×	`*-un-lft-identity`
394×	`add-cube-cbrt`
183×	`add-exp-log`
174×	`associate-r`
116×	`div-exp`
61×	`add-cbrt-cube`
58×	`div-inv`
34×	`prod-exp`
31×	`cbrt-undiv`
25×	`rec-exp` `1-exp`
19×	`associate-/r*`
17×	`associate-/l*`
10×	`cbrt-unprod` `unswap-sqr`
7×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-l`
2×	`associate-*r/` `associate-/r/` `associate-/l/`
1×	`pow-prod-down` `*-commutative` `pow-flip` `inv-pow`

Counts

4 → 527

Calls

4 calls:

77.0ms	(* x (/ (/ 1 y) (/ 1 (sin y))))
9.0ms	(/ 1 (sin y))
19.0ms	(/ (/ 1 y) (/ 1 (sin y)))
33.0ms	(/ (* x (/ (/ 1 y) (/ 1 (sin y)))) z)

series228.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(* x (/ (/ 1 y) (/ 1 (sin y))))
27.0ms	(/ 1 (sin y))
42.0ms	(/ (/ 1 y) (/ 1 (sin y)))
84.0ms	(/ (* x (/ (/ 1 y) (/ 1 (sin y)))) z)

simplify1.5s

Counts

539 → 539

Iterations

Iter	Nodes
done	5001
1	2309
0	671

prune2.2s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes512.0ms

Accuracy

94% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 2.8b

bsearch124.0ms

Steps

Iters	Range		Point
9	1.8858956155785848e-06	20.852008069825544	3.9140170259031803
7	-8.665460962243007e+24	-3.9554820123738635e+22	-5.593196487055916e+24

simplify6.0ms

Iterations

Iter	Nodes
done	27
1	27
0	23

end0.0ms

sample2.5s

Algorithm

intervals

Results

984.0ms	5799×	body	80	valid
584.0ms	1018×	body	1280	valid
426.0ms	1029×	body	640	valid
173.0ms	564×	body	320	valid
47.0ms	302×	body	160	valid