Details

sample123.0ms

Algorithm

intervals

Results

34.0ms	41×	body	1280	valid
25.0ms	17×	body	2560	valid
20.0ms	142×	body	80	valid
18.0ms	33×	body	640	valid
7.0ms	19×	body	320	valid
1.0ms	4×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
1	11
0	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.1b

localize24.0ms

Local error

Found 3 expressions with local error:

6.7b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
26.3b	(tan (/ x (* y 2.0)))
26.4b	(sin (/ x (* y 2.0)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
5×	`add-cbrt-cube` `add-exp-log`
3×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
2×	`tan-quot`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv` `associate-/l/`

Counts

3 → 43

Calls

3 calls:

37.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
3.0ms	(tan (/ x (* y 2.0)))
4.0ms	(sin (/ x (* y 2.0)))

series105.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
43.0ms	(tan (/ x (* y 2.0)))
13.0ms	(sin (/ x (* y 2.0)))

simplify1.2s

Counts

52 → 52

Iterations

Iter	Nodes
done	5000
3	1624
2	414
1	144
0	77

prune279.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 24.1b

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune84.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 24.1b

localize24.0ms

Local error

Found 4 expressions with local error:

6.7b	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
26.0b	(cos (/ x (* y 2.0)))
26.4b	(sin (/ x (* y 2.0)))
26.4b	(sin (/ x (* y 2.0)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-cbrt-cube` `add-exp-log`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-log-exp`
3×	`times-frac` `associate-/l*`
2×	`cbrt-undiv` `div-exp`
1×	`clear-num` `associate-/r*` `frac-2neg` `prod-exp` `associate-/r/` `cbrt-unprod` `div-inv` `sin-cos-mult`

Counts

4 → 43

Calls

4 calls:

27.0ms	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
4.0ms	(cos (/ x (* y 2.0)))
5.0ms	(sin (/ x (* y 2.0)))
4.0ms	(sin (/ x (* y 2.0)))

series58.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
13.0ms	(cos (/ x (* y 2.0)))
11.0ms	(sin (/ x (* y 2.0)))
11.0ms	(sin (/ x (* y 2.0)))

simplify1.4s

Counts

55 → 55

Iterations

Iter	Nodes
done	5025
3	1616
2	387
1	145
0	71

prune319.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 24.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ x (* 2.0 y)) (/ x (* 2.0 y)))
6.9b	(/ (sin (/ x (* 2.0 y))) (sin (+ (/ x (* 2.0 y)) (/ x (* 2.0 y)))))
26.1b	(sin (+ (/ x (* 2.0 y)) (/ x (* 2.0 y))))
26.4b	(sin (/ x (* 2.0 y)))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

24×	`times-frac`
23×	`*-un-lft-identity`
21×	`add-sqr-sqrt` `add-cube-cbrt`
7×	`distribute-rgt-out` `distribute-lft-out`
6×	`add-cbrt-cube` `count-2` `add-exp-log` `add-log-exp`
5×	`sin-2` `div-inv`
4×	`pow1` `associate-/r*`
3×	`associate-/l*`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `distribute-lft1-in` `flip3-+` `sin-sum` `div-exp` `frac-add` `distribute-rgt1-in` `flip-+`

Counts

4 → 76

Calls

4 calls:

21.0ms	(+ (/ x (* 2.0 y)) (/ x (* 2.0 y)))
50.0ms	(/ (sin (/ x (* 2.0 y))) (sin (+ (/ x (* 2.0 y)) (/ x (* 2.0 y)))))
39.0ms	(sin (+ (/ x (* 2.0 y)) (/ x (* 2.0 y))))
4.0ms	(sin (/ x (* 2.0 y)))

series95.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ (/ x (* 2.0 y)) (/ x (* 2.0 y)))
48.0ms	(/ (sin (/ x (* 2.0 y))) (sin (+ (/ x (* 2.0 y)) (/ x (* 2.0 y)))))
11.0ms	(sin (+ (/ x (* 2.0 y)) (/ x (* 2.0 y))))
11.0ms	(sin (/ x (* 2.0 y)))

simplify1.5s

Counts

88 → 88

Iterations

Iter	Nodes
done	5013
3	2080
2	675
1	244
0	124

prune427.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 23.4b

regimes706.0ms

Accuracy

0% (3.3b remaining)

Error of 28.2b against oracle of 25.0b and baseline of 28.2b

bsearch0.0ms

simplify0.0ms

Iterations

Iter	Nodes
done	1
0	1

end0.0ms

sample5.0s

Algorithm

intervals

Results

1.3s	1349×	body	1280	valid
1.2s	652×	body	2560	valid
915.0ms	1014×	body	640	valid
629.0ms	4149×	body	80	valid
576.0ms	552×	body	320	valid
77.0ms	284×	body	160	valid