Details

sample79.0ms

Algorithm

intervals

Results

29.0ms	41×	body	1280	valid
19.0ms	40×	body	640	valid
14.0ms	154×	body	80	valid
5.0ms	15×	body	320	valid
1.0ms	6×	body	160	valid

simplify281.0ms

Counts

1 → 1

Iterations

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.1b

localize19.0ms

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)))
17.0b	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

rewrite148.0ms

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×	`associate-/r*` `insert-posit16` `add-log-exp`
2×	`*-commutative` `div-inv` `unswap-sqr`
1×	`clear-num` `frac-2neg` `associate-/l*` `associate-/l/`

Counts

3 → 82

Calls

3 calls:

60.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
25.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
60.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series217.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
49.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
89.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify1.7s

Counts

91 → 91

Iterations

Iter	Nodes
done	5003
2	1441
1	414
0	166

prune436.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize34.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sin x) (sin (* x 0.5)))
0.1b	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* x 0.5))))
0.4b	(* (/ 8.0 3.0) (sin (* x 0.5)))

rewrite90.0ms

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×	`associate-r` `insert-posit16` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-*l/` `unswap-sqr`
1×	`pow-prod-down` `associate-/r/` `*-commutative` `associate-/l/`

Counts

3 → 113

Calls

3 calls:

11.0ms	(/ (sin x) (sin (* x 0.5)))
34.0ms	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* x 0.5))))
40.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

series190.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(/ (sin x) (sin (* x 0.5)))
94.0ms	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* x 0.5))))
38.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify1.6s

Counts

122 → 122

Iterations

Iter	Nodes
done	5002
2	1912
1	556
0	214

prune533.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

217×	`times-frac`
97×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
31×	`add-cbrt-cube` `add-exp-log`
25×	`div-inv`
19×	`associate-/r*`
16×	`cbrt-undiv` `div-exp`
11×	`associate-/l*`
3×	`pow1` `clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
1×	`associate-/r/` `associate-/l/`

Counts

3 → 186

Calls

3 calls:

18.0ms	(/ (* 8.0 (sin (* x 0.5))) 3.0)
11.0ms	(/ (sin x) (sin (* x 0.5)))
24.0ms	(/ (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin x) (sin (* x 0.5))))

series185.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(/ (* 8.0 (sin (* x 0.5))) 3.0)
50.0ms	(/ (sin x) (sin (* x 0.5)))
97.0ms	(/ (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin x) (sin (* x 0.5))))

simplify2.2s

Counts

195 → 195

Iterations

Iter	Nodes
done	5151
2	3757
1	1053
0	347

prune968.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (* 8.0 (sin (* x 0.5))) 3.0)
0.1b	(/ (sin x) (sin (* x 0.5)))
0.2b	(/ 1 (/ (/ (sin x) (sin (* x 0.5))) (/ (* 8.0 (sin (* x 0.5))) 3.0)))
0.3b	(/ (/ (sin x) (sin (* x 0.5))) (/ (* 8.0 (sin (* x 0.5))) 3.0))

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

1277×	`times-frac`
499×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
110×	`div-inv`
109×	`associate-/r*`
105×	`add-exp-log`
69×	`div-exp`
61×	`add-cbrt-cube`
36×	`cbrt-undiv`
20×	`associate-/l*`
9×	`prod-exp`
7×	`rec-exp` `1-exp`
6×	`associate-/r/`
5×	`pow1` `cbrt-unprod`
4×	`clear-num` `frac-2neg` `insert-posit16` `add-log-exp`
1×	`pow-flip` `inv-pow` `associate-/l/`

Counts

4 → 615

Calls

4 calls:

17.0ms	(/ (* 8.0 (sin (* x 0.5))) 3.0)
12.0ms	(/ (sin x) (sin (* x 0.5)))
41.0ms	(/ 1 (/ (/ (sin x) (sin (* x 0.5))) (/ (* 8.0 (sin (* x 0.5))) 3.0)))
32.0ms	(/ (/ (sin x) (sin (* x 0.5))) (/ (* 8.0 (sin (* x 0.5))) 3.0))

series317.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(/ (* 8.0 (sin (* x 0.5))) 3.0)
47.0ms	(/ (sin x) (sin (* x 0.5)))
103.0ms	(/ 1 (/ (/ (sin x) (sin (* x 0.5))) (/ (* 8.0 (sin (* x 0.5))) 3.0)))
122.0ms	(/ (/ (sin x) (sin (* x 0.5))) (/ (* 8.0 (sin (* x 0.5))) 3.0))

simplify3.0s

Counts

627 → 627

Iterations

Iter	Nodes
done	5002
1	2862
0	951

prune3.0s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes120.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	13
1	13
0	11

end0.0ms

sample4.1s

Algorithm

intervals

Results

1.5s	1498×	body	1280	valid
889.0ms	4285×	body	80	valid
868.0ms	1262×	body	640	valid
629.0ms	628×	body	320	valid
87.0ms	327×	body	160	valid