Details

sample104.0ms

Algorithm

intervals

Results

38.0ms	46×	body	1280	valid
28.0ms	49×	body	640	valid
14.0ms	126×	body	80	valid
8.0ms	21×	body	320	valid
4.0ms	14×	body	160	valid

simplify277.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	313
6	313
5	275
4	171
3	90
2	43
1	20
0	11

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.2b

localize20.0ms

Local error

Found 3 expressions with local error:

0.3b	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
0.4b	(* (/ 8.0 3.0) (sin (* x 0.5)))
12.0b	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

rewrite158.0ms

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

Counts

3 → 79

Calls

3 calls:

62.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
25.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
68.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series227.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
46.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
92.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify2.0s

Counts

88 → 88

Iterations

Iter	Nodes
done	5000
2	2720
1	413
0	163

prune531.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite91.0ms

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

Counts

3 → 110

Calls

3 calls:

25.0ms	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* x 0.5))))
12.0ms	(/ (sin x) (sin (* x 0.5)))
47.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

series212.0ms

Counts

3 → 9

Calls

3 calls:

97.0ms	(/ (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin x) (sin (* x 0.5))))
49.0ms	(/ (sin x) (sin (* x 0.5)))
67.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify2.0s

Counts

119 → 119

Iterations

Iter	Nodes
done	5000
2	3471
1	560
0	211

prune594.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

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

rewrite83.0ms

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` `add-log-exp`
1×	`associate-/r/` `associate-/l/`

Counts

3 → 183

Calls

3 calls:

16.0ms	(/ (* 8.0 (sin (* x 0.5))) 3.0)
39.0ms	(/ (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin x) (sin (* x 0.5))))
19.0ms	(/ (sin x) (sin (* x 0.5)))

series208.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(/ (* 8.0 (sin (* x 0.5))) 3.0)
103.0ms	(/ (/ (* 8.0 (sin (* x 0.5))) 3.0) (/ (sin x) (sin (* x 0.5))))
60.0ms	(/ (sin x) (sin (* x 0.5)))

simplify1.2s

Counts

192 → 192

Iterations

Iter	Nodes
done	5001
1	1098
0	344

prune1.3s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (sin (* x 0.5)))
0.2b	(/ (* 8.0 (sin (* x 0.5))) (sin x))
0.2b	(* (/ (* 8.0 (sin (* x 0.5))) (sin x)) (/ (/ 1 3.0) (/ 1 (sin (* x 0.5)))))
0.4b	(/ (/ 1 3.0) (/ 1 (sin (* x 0.5))))

rewrite232.0ms

Algorithm

rewrite-expression-head

Rules

860×	`times-frac`
430×	`add-sqr-sqrt`
401×	`*-un-lft-identity`
395×	`add-cube-cbrt`
278×	`add-exp-log`
174×	`associate-r`
166×	`div-exp`
92×	`add-cbrt-cube`
69×	`prod-exp`
59×	`div-inv`
45×	`cbrt-undiv`
33×	`rec-exp` `1-exp`
21×	`cbrt-unprod`
19×	`associate-/r*`
17×	`associate-/l*`
10×	`unswap-sqr`
7×	`pow1` `associate-l`
4×	`add-log-exp`
3×	`clear-num` `frac-2neg`
2×	`associate-/r/`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `pow-flip` `inv-pow` `associate-/l/`

Counts

4 → 548

Calls

4 calls:

8.0ms	(/ 1 (sin (* x 0.5)))
14.0ms	(/ (* 8.0 (sin (* x 0.5))) (sin x))
133.0ms	(* (/ (* 8.0 (sin (* x 0.5))) (sin x)) (/ (/ 1 3.0) (/ 1 (sin (* x 0.5)))))
24.0ms	(/ (/ 1 3.0) (/ 1 (sin (* x 0.5))))

series312.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(/ 1 (sin (* x 0.5)))
84.0ms	(/ (* 8.0 (sin (* x 0.5))) (sin x))
147.0ms	(* (/ (* 8.0 (sin (* x 0.5))) (sin x)) (/ (/ 1 3.0) (/ 1 (sin (* x 0.5)))))
44.0ms	(/ (/ 1 3.0) (/ 1 (sin (* x 0.5))))

simplify2.3s

Counts

560 → 560

Iterations

Iter	Nodes
done	5001
1	2909
0	721

prune2.5s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

regimes68.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	13
1	13
0	11

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.5s	1532×	body	1280	valid
1.1s	1246×	body	640	valid
569.0ms	4286×	body	80	valid
252.0ms	607×	body	320	valid
120.0ms	329×	body	160	valid