Details

sample45.0ms

Algorithm

intervals

Results

13.0ms	37×	body	1280	valid
9.0ms	167×	body	80	valid
5.0ms	23×	body	640	valid
3.0ms	17×	body	320	valid
1.0ms	12×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`*-un-lft-identity` `add-cube-cbrt`
13×	`associate-l`
9×	`add-cbrt-cube` `add-exp-log`
4×	`pow1`
3×	`associate-/r` `associate-r` `associate-/l`
2×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `-commutative`

Counts

2 → 63

Calls

2 calls:

26.0ms	(* (/ (sin y) y) x)
13.0ms	(/ (sin y) y)

series121.0ms

Counts

2 → 6

Calls

2 calls:

73.0ms	(* (/ (sin y) y) x)
48.0ms	(/ (sin y) y)

simplify726.0ms

Counts

69 → 69

Iterations

Iter	Nodes
done	5000
2	1139
1	239
0	104

prune401.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac`
103×	`add-sqr-sqrt`
91×	`*-un-lft-identity`
89×	`add-cube-cbrt`
44×	`associate-l`
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×	`expm1-log1p-u` `associate-r` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-/r/`
1×	`pow-prod-down` `associate-l/` `-commutative` `pow-flip` `inv-pow`

Counts

3 → 181

Calls

3 calls:

10.0ms	(/ 1 (/ y (sin y)))
45.0ms	(* (/ 1 (/ y (sin y))) x)
9.0ms	(/ y (sin y))

series137.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(/ 1 (/ y (sin y)))
57.0ms	(* (/ 1 (/ y (sin y))) x)
38.0ms	(/ y (sin y))

simplify1.8s

Counts

190 → 190

Iterations

Iter	Nodes
done	5000
2	3381
1	660
0	243

prune859.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
52×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
16×	`associate-/r*`
9×	`add-cbrt-cube` `add-exp-log`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
2×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `log1p-expm1-u` `add-log-exp`
1×	`associate-/r/`

Counts

2 → 101

Calls

2 calls:

12.0ms	(/ x (/ y (sin y)))
5.0ms	(/ y (sin y))

series142.0ms

Counts

2 → 6

Calls

2 calls:

101.0ms	(/ x (/ y (sin y)))
40.0ms	(/ y (sin y))

simplify1.1s

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
2	2011
1	432
0	175

prune506.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(log1p (* (/ 1 y) (sin y)))
0.0b	(expm1 (log1p (* (/ 1 y) (sin y))))
0.1b	(* (expm1 (log1p (* (/ 1 y) (sin y)))) x)
0.3b	(* (/ 1 y) (sin y))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
16×	`associate-l`
15×	`*-un-lft-identity` `add-exp-log`
14×	`add-cube-cbrt`
11×	`times-frac` `add-cbrt-cube`
8×	`pow1`
6×	`associate-r`
5×	`expm1-log1p-u` `prod-exp`
4×	`log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`cbrt-unprod`
2×	`div-exp` `pow-prod-down` `*-commutative`
1×	`cbrt-undiv` `rec-exp` `log1p-udef` `expm1-log1p` `1-exp` `associate-*l/` `log1p-expm1` `div-inv` `expm1-udef`

Counts

4 → 79

Calls

4 calls:

1.0ms	(log1p (* (/ 1 y) (sin y)))
0.0ms	(expm1 (log1p (* (/ 1 y) (sin y))))
11.0ms	(* (expm1 (log1p (* (/ 1 y) (sin y)))) x)
33.0ms	(* (/ 1 y) (sin y))

series530.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(log1p (* (/ 1 y) (sin y)))
236.0ms	(expm1 (log1p (* (/ 1 y) (sin y))))
175.0ms	(* (expm1 (log1p (* (/ 1 y) (sin y)))) x)
57.0ms	(* (/ 1 y) (sin y))

simplify1.1s

Counts

91 → 91

Iterations

Iter	Nodes
done	5002
2	1778
1	336
0	150

prune554.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes137.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	10
1	10
0	7

end0.0ms

sample1.8s

Algorithm

intervals

Results

483.0ms	952×	body	1280	valid
471.0ms	5075×	body	80	valid
289.0ms	1035×	body	640	valid
198.0ms	611×	body	320	valid
44.0ms	327×	body	160	valid