Details

sample35.0ms

Algorithm

intervals

Results

8.0ms	197×	body	80	valid
8.0ms	28×	body	1280	valid
5.0ms	30×	body	640	valid
3.0ms	20×	body	320	valid
1.0ms	8×	body	160	valid

simplify38.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	12	8
2	23	8
3	48	8
4	67	8
5	76	8
done	76	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
1.5b	(/ (* x (/ (sin y) y)) z)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 83

Calls

3 calls:

8.0ms	(* x (/ (sin y) y))
3.0ms	(/ (sin y) y)
5.0ms	(/ (* x (/ (sin y) y)) z)

series156.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(* x (/ (sin y) y))
25.0ms	(/ (sin y) y)
73.0ms	(/ (* x (/ (sin y) y)) z)

simplify1.1s

Counts

92 → 92

Iterations

Useful iterations: 2 (131.0ms)

Iter	Nodes	Cost
0	139	893
1	325	857
2	1062	741
done	5001	741

prune205.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (/ (sin y) y) z)
0.1b	(/ (sin y) y)
2.3b	(* x (/ (/ (sin y) y) z))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 162

Calls

3 calls:

6.0ms	(/ (/ (sin y) y) z)
3.0ms	(/ (sin y) y)
21.0ms	(* x (/ (/ (sin y) y) z))

series131.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(/ (/ (sin y) y) z)
26.0ms	(/ (sin y) y)
72.0ms	(* x (/ (/ (sin y) y) z))

simplify779.0ms

Counts

171 → 171

Iterations

Useful iterations: 2 (310.0ms)

Iter	Nodes	Cost
0	248	2083
1	607	1961
2	1801	1831
done	5001	1831

prune426.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ y (sin y))
0.1b	(* z (/ y (sin y)))
2.4b	(/ x (* z (/ y (sin y))))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 83

Calls

3 calls:

2.0ms	(/ y (sin y))
8.0ms	(* z (/ y (sin y)))
5.0ms	(/ x (* z (/ y (sin y))))

series173.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(/ y (sin y))
69.0ms	(* z (/ y (sin y)))
82.0ms	(/ x (* z (/ y (sin y))))

simplify2.2s

Counts

92 → 92

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	139	893
1	317	861
2	1010	745
3	4760	743
done	5000	743

prune195.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ y (sin y))
2.9b	(/ (/ x z) (/ y (sin y)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

430×	`times-frac`
206×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
30×	`div-inv`
16×	`add-exp-log` `associate-/r` `add-cbrt-cube` `associate-/l`
9×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`
1×	`associate-/r/` `associate-/l/`

Counts

2 → 242

Calls

2 calls:

2.0ms	(/ y (sin y))
10.0ms	(/ (/ x z) (/ y (sin y)))

series103.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(/ y (sin y))
82.0ms	(/ (/ x z) (/ y (sin y)))

simplify1.6s

Counts

248 → 248

Iterations

Useful iterations: 2 (894.0ms)

Iter	Nodes	Cost
0	455	4717
1	1314	4410
2	4774	4250
done	5000	4250

prune606.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes171.0ms

Accuracy

90.4% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 2.6b

bsearch97.0ms

Steps

Iters	Range		Point
11	3.9777289923527025e+45	6.762908678833405e+72	7.145191312931393e+69
10	-226.73590116698318	-5.4793573196899966e-14	-9.303380453396632e-07

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	16	32
1	20	25
done	20	25

end0.0ms

sample1.0s

Algorithm

intervals

Results

275.0ms	993×	body	1280	valid
252.0ms	5900×	body	80	valid
193.0ms	1025×	body	640	valid
74.0ms	545×	body	320	valid
26.0ms	292×	body	160	valid