Details

sample73.0ms

Algorithm

intervals

Results

20.0ms	178×	body	80	valid
12.0ms	27×	body	1280	valid
9.0ms	28×	body	640	valid
3.0ms	13×	body	320	valid
2.0ms	10×	body	160	valid

simplify47.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	17
5	17
4	16
3	14
2	12
1	8
0	5

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.2b	(/ (sin y) y)

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 61

Calls

2 calls:

44.0ms	(* x (/ (sin y) y))
18.0ms	(/ (sin y) y)

series191.0ms

Counts

2 → 6

Calls

2 calls:

127.0ms	(* x (/ (sin y) y))
64.0ms	(/ (sin y) y)

simplify4.7s

Counts

67 → 67

Iterations

Iter	Nodes
done	5003
3	3329
2	766
1	231
0	100

prune579.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log`
18×	`add-sqr-sqrt`
16×	`add-cbrt-cube`
14×	`associate-r`
13×	`prod-exp`
12×	`*-un-lft-identity`
11×	`times-frac` `add-cube-cbrt`
9×	`pow1`
7×	`cbrt-unprod`
6×	`associate-l`
4×	`div-exp` `pow-prod-down` `associate-*r/`
3×	`unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `un-div-inv` `*-commutative` `insert-posit16` `add-log-exp`
1×	`div-inv`

Counts

2 → 62

Calls

2 calls:

45.0ms	(* x (* (sin y) (/ 1 y)))
24.0ms	(* (sin y) (/ 1 y))

series153.0ms

Counts

2 → 6

Calls

2 calls:

109.0ms	(* x (* (sin y) (/ 1 y)))
44.0ms	(* (sin y) (/ 1 y))

simplify4.9s

Counts

68 → 68

Iterations

Iter	Nodes
done	5001
3	2568
2	890
1	287
0	115

prune483.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac`
103×	`add-sqr-sqrt`
91×	`*-un-lft-identity`
89×	`add-cube-cbrt`
44×	`associate-r`
35×	`add-exp-log`
19×	`add-cbrt-cube`
16×	`associate-/r*`
15×	`div-exp`
10×	`div-inv`
7×	`cbrt-undiv` `prod-exp`
6×	`pow1` `associate-/l*`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-l` `cbrt-unprod` `insert-posit16` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-/r/`
1×	`pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `inv-pow`

Counts

3 → 179

Calls

3 calls:

14.0ms	(/ y (sin y))
48.0ms	(* x (/ 1 (/ y (sin y))))
17.0ms	(/ 1 (/ y (sin y)))

series241.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(/ y (sin y))
95.0ms	(* x (/ 1 (/ y (sin y))))
72.0ms	(/ 1 (/ y (sin y)))

simplify7.0s

Counts

188 → 188

Iterations

Iter	Nodes
done	5002
3	4755
2	1690
1	634
0	241

prune1.6s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.2b	(/ (sin y) y)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 61

Calls

2 calls:

22.0ms	(* x (/ (sin y) y))
12.0ms	(/ (sin y) y)

series174.0ms

Counts

2 → 6

Calls

2 calls:

126.0ms	(* x (/ (sin y) y))
48.0ms	(/ (sin y) y)

simplify5.4s

Counts

67 → 67

Iterations

Iter	Nodes
done	5003
3	3329
2	766
1	231
0	100

prune635.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes694.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	6
1	6
0	5

end0.0ms

sample2.0s

Algorithm

intervals

Results

694.0ms	5200×	body	80	valid
410.0ms	1024×	body	640	valid
405.0ms	882×	body	1280	valid
153.0ms	586×	body	320	valid
40.0ms	308×	body	160	valid