Details

sample68.0ms

Algorithm

intervals

Results

17.0ms	205×	body	80	valid
11.0ms	21×	body	1280	valid
9.0ms	23×	body	640	valid
4.0ms	14×	body	320	valid
2.0ms	11×	body	160	valid

simplify199.0ms

Counts

1 → 1

Iterations

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

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize32.0ms

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)

rewrite83.0ms

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:

37.0ms	(* x (/ (sin y) y))
16.0ms	(/ (sin y) y)
25.0ms	(/ (* x (/ (sin y) y)) z)

series306.0ms

Counts

3 → 9

Calls

3 calls:

97.0ms	(* x (/ (sin y) y))
47.0ms	(/ (sin y) y)
162.0ms	(/ (* x (/ (sin y) y)) z)

simplify3.8s

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
2	1174
1	348
0	148

prune1.3s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ y (sin y))
0.1b	(* x (/ 1 (/ y (sin y))))
0.3b	(/ 1 (/ y (sin y)))
1.5b	(/ (* x (/ 1 (/ y (sin y)))) z)

rewrite219.0ms

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` `insert-posit16` `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 → 219

Calls

4 calls:

16.0ms	(/ y (sin y))
98.0ms	(* x (/ 1 (/ y (sin y))))
30.0ms	(/ 1 (/ y (sin y)))
32.0ms	(/ (* x (/ 1 (/ y (sin y)))) z)

series446.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(/ y (sin y))
111.0ms	(* x (/ 1 (/ y (sin y))))
52.0ms	(/ 1 (/ y (sin y)))
183.0ms	(/ (* x (/ 1 (/ y (sin y)))) z)

simplify3.6s

Counts

231 → 231

Iterations

Iter	Nodes
done	5014
2	2322
1	780
0	298

prune2.5s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

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)

rewrite87.0ms

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:

28.0ms	(* x (/ (sin y) y))
12.0ms	(/ (sin y) y)
36.0ms	(/ (* x (/ (sin y) y)) z)

series361.0ms

Counts

3 → 9

Calls

3 calls:

126.0ms	(* x (/ (sin y) y))
73.0ms	(/ (sin y) y)
162.0ms	(/ (* x (/ (sin y) y)) z)

simplify3.6s

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
2	1174
1	348
0	148

prune1.2s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ y (sin y))
0.3b	(/ x (/ y (sin y)))
0.4b	(/ 1 (/ z (/ x (/ y (sin y)))))
1.5b	(/ z (/ x (/ y (sin y))))

rewrite428.0ms

Algorithm

rewrite-expression-head

Rules

2211×	`times-frac`
977×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
197×	`associate-/r*`
76×	`div-inv`
54×	`add-exp-log`
36×	`div-exp`
34×	`add-cbrt-cube`
23×	`associate-/r/`
20×	`cbrt-undiv`
12×	`associate-/l*`
5×	`pow1`
4×	`expm1-log1p-u` `rec-exp` `clear-num` `frac-2neg` `1-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`pow-flip` `inv-pow`

Counts

4 → 885

Calls

4 calls:

16.0ms	(/ y (sin y))
21.0ms	(/ x (/ y (sin y)))
74.0ms	(/ 1 (/ z (/ x (/ y (sin y)))))
43.0ms	(/ z (/ x (/ y (sin y))))

series615.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(/ y (sin y))
135.0ms	(/ x (/ y (sin y)))
165.0ms	(/ 1 (/ z (/ x (/ y (sin y)))))
245.0ms	(/ z (/ x (/ y (sin y))))

simplify7.5s

Counts

897 → 897

Iterations

Iter	Nodes
done	5000
1	3681
0	1311

prune10.7s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes1.5s

Accuracy

42.7% (1.7b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 3.1b

bsearch103.0ms

Steps

Iters	Range		Point
10	7.986526959194718e+113	7.425722264513988e+123	3.564026261687553e+114

simplify5.0ms

Iterations

Iter	Nodes
done	17
1	17
0	15

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.0s	5844×	body	80	valid
576.0ms	1008×	body	1280	valid
403.0ms	1035×	body	640	valid
166.0ms	581×	body	320	valid
52.0ms	312×	body	160	valid