Details

sample168.0ms

Algorithm

intervals

Results

68.0ms	51×	body	1280	valid
29.0ms	34×	body	640	valid
27.0ms	147×	body	80	valid
26.0ms	13×	body	160	valid
8.0ms	11×	body	320	valid

simplify359.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	275
7	275
6	274
5	226
4	134
3	71
2	35
1	20
0	11

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.5b

localize37.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
0.4b	(* (/ 8.0 3.0) (sin (* x 0.5)))
18.2b	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

rewrite228.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-cbrt-cube` `add-exp-log`
19×	`add-sqr-sqrt`
14×	`-un-lft-identity` `associate-l*` `add-cube-cbrt`
13×	`times-frac`
12×	`prod-exp` `cbrt-unprod`
10×	`pow1`
7×	`cbrt-undiv` `div-exp`
6×	`associate-r`
5×	`associate-*l/`
4×	`pow-prod-down`
3×	`expm1-log1p-u` `associate-/r*` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `div-inv` `unswap-sqr`
1×	`clear-num` `frac-2neg` `associate-/l*` `associate-/l/`

Counts

3 → 88

Calls

3 calls:

105.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
39.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
83.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series251.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
49.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
116.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify2.1s

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
2	1537
1	423
0	172

prune533.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sin (* x 0.5)) (/ 3.0 8.0))
0.1b	(/ (sin (* x 0.5)) (sin x))
0.2b	(* (/ (sin (* x 0.5)) (/ 3.0 8.0)) (/ (sin (* x 0.5)) (sin x)))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

168×	`times-frac`
116×	`add-sqr-sqrt`
95×	`*-un-lft-identity` `add-cube-cbrt`
44×	`associate-l`
31×	`add-cbrt-cube` `add-exp-log`
16×	`associate-/r*`
13×	`cbrt-undiv` `div-exp` `associate-r`
11×	`div-inv`
6×	`prod-exp` `cbrt-unprod` `associate-/l*` `unswap-sqr`
5×	`pow1`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-/r/`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

3 → 193

Calls

3 calls:

19.0ms	(/ (sin (* x 0.5)) (/ 3.0 8.0))
14.0ms	(/ (sin (* x 0.5)) (sin x))
45.0ms	(* (/ (sin (* x 0.5)) (/ 3.0 8.0)) (/ (sin (* x 0.5)) (sin x)))

series255.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(/ (sin (* x 0.5)) (/ 3.0 8.0))
62.0ms	(/ (sin (* x 0.5)) (sin x))
133.0ms	(* (/ (sin (* x 0.5)) (/ 3.0 8.0)) (/ (sin (* x 0.5)) (sin x)))

simplify2.8s

Counts

202 → 202

Iterations

Iter	Nodes
done	5000
2	3547
1	928
0	312

prune1.1s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ (sin x) (sin (* x 0.5)))
0.2b	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* x 0.5))))
0.4b	(* (/ 8.0 3.0) (sin (* x 0.5)))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

50×	`times-frac`
38×	`add-sqr-sqrt`
33×	`*-un-lft-identity` `add-cube-cbrt`
31×	`add-cbrt-cube` `add-exp-log`
16×	`associate-/r*`
13×	`cbrt-undiv` `div-exp` `associate-l`
6×	`prod-exp` `cbrt-unprod`
5×	`pow1` `div-inv`
4×	`associate-/l*`
3×	`expm1-log1p-u` `associate-r` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-*l/` `unswap-sqr`
1×	`pow-prod-down` `associate-/r/` `*-commutative` `associate-/l/`

Counts

3 → 119

Calls

3 calls:

23.0ms	(/ (sin x) (sin (* x 0.5)))
66.0ms	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* x 0.5))))
25.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

series235.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(/ (sin x) (sin (* x 0.5)))
110.0ms	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* x 0.5))))
64.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify2.0s

Counts

128 → 128

Iterations

Iter	Nodes
done	5008
2	1969
1	562
0	220

prune610.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (sin x) (sin (* x 0.5)))
0.3b	(/ (/ (sin x) (sin (* x 0.5))) (* (/ 8.0 3.0) (sin (* x 0.5))))
0.3b	(/ 1 (/ (/ (sin x) (sin (* x 0.5))) (* (/ 8.0 3.0) (sin (* x 0.5)))))
0.4b	(* (/ 8.0 3.0) (sin (* x 0.5)))

rewrite174.0ms

Algorithm

rewrite-expression-head

Rules

192×	`times-frac`
105×	`add-exp-log`
90×	`add-sqr-sqrt`
85×	`*-un-lft-identity` `add-cube-cbrt`
61×	`add-cbrt-cube`
60×	`div-exp`
31×	`cbrt-undiv`
22×	`associate-/r*`
19×	`associate-/l*`
18×	`prod-exp`
14×	`div-inv`
13×	`associate-l`
10×	`cbrt-unprod`
7×	`pow1` `rec-exp` `1-exp`
6×	`associate-*l/` `associate-/r/`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-r`
2×	`unswap-sqr`
1×	`pow-prod-down` `*-commutative` `pow-flip` `inv-pow` `associate-/l/`

Counts

4 → 238

Calls

4 calls:

13.0ms	(/ (sin x) (sin (* x 0.5)))
46.0ms	(/ (/ (sin x) (sin (* x 0.5))) (* (/ 8.0 3.0) (sin (* x 0.5))))
59.0ms	(/ 1 (/ (/ (sin x) (sin (* x 0.5))) (* (/ 8.0 3.0) (sin (* x 0.5)))))
47.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

series375.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(/ (sin x) (sin (* x 0.5)))
123.0ms	(/ (/ (sin x) (sin (* x 0.5))) (* (/ 8.0 3.0) (sin (* x 0.5))))
116.0ms	(/ 1 (/ (/ (sin x) (sin (* x 0.5))) (* (/ 8.0 3.0) (sin (* x 0.5)))))
63.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify2.4s

Counts

250 → 250

Iterations

Iter	Nodes
done	5001
2	3393
1	1001
0	382

prune1.1s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes67.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	13
1	13
0	11

end0.0ms

sample6.3s

Algorithm

intervals

Results

3.0s	1532×	body	1280	valid
1.6s	1302×	body	640	valid
950.0ms	4274×	body	80	valid
446.0ms	578×	body	320	valid
170.0ms	314×	body	160	valid