Details

sample183.0ms

Algorithm

intervals

Results

53.0ms	43×	body	1280	valid
53.0ms	23×	body	2560	valid
29.0ms	37×	body	640	valid
21.0ms	132×	body	80	valid
6.0ms	12×	body	320	valid
4.0ms	9×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	13
2	13
1	11
0	8

prune44.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.5b

localize16.0ms

Local error

Found 3 expressions with local error:

7.3b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
28.5b	(sin (/ x (* y 2.0)))
28.9b	(tan (/ x (* y 2.0)))

rewrite30.0ms

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:

18.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
7.0ms	(sin (/ x (* y 2.0)))
3.0ms	(tan (/ x (* y 2.0)))

series174.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
27.0ms	(sin (/ x (* y 2.0)))
75.0ms	(tan (/ x (* y 2.0)))

simplify1.2s

Counts

52 → 52

Iterations

Iter	Nodes
done	5002
3	3170
2	494
1	144
0	77

prune366.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 26.5b

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

prune48.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 26.5b

localize24.0ms

Local error

Found 2 expressions with local error:

4.4b	(* (/ (* x x) y) (/ 0.125 y))
7.0b	(/ (* x x) y)

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 69

Calls

2 calls:

45.0ms	(* (/ (* x x) y) (/ 0.125 y))
15.0ms	(/ (* x x) y)

series86.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(* (/ (* x x) y) (/ 0.125 y))
35.0ms	(/ (* x x) y)

simplify2.9s

Counts

75 → 75

Iterations

Iter	Nodes
done	5001
2	3565
1	403
0	118

prune297.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 26.5b

localize25.0ms

Local error

Found 4 expressions with local error:

7.3b	(/ (/ (sin (/ x (* 2.0 y))) (cos (/ x (* 2.0 y)))) (sin (/ x (* y 2.0))))
28.4b	(cos (/ x (* 2.0 y)))
28.5b	(sin (/ x (* y 2.0)))
28.5b	(sin (/ x (* 2.0 y)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

24.0ms	(/ (/ (sin (/ x (* 2.0 y))) (cos (/ x (* 2.0 y)))) (sin (/ x (* y 2.0))))
4.0ms	(cos (/ x (* 2.0 y)))
4.0ms	(sin (/ x (* y 2.0)))
4.0ms	(sin (/ x (* 2.0 y)))

series83.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/ (/ (sin (/ x (* 2.0 y))) (cos (/ x (* 2.0 y)))) (sin (/ x (* y 2.0))))
27.0ms	(cos (/ x (* 2.0 y)))
18.0ms	(sin (/ x (* y 2.0)))
15.0ms	(sin (/ x (* 2.0 y)))

simplify1.6s

Counts

103 → 103

Iterations

Iter	Nodes
done	5002
2	2195
1	395
0	171

prune594.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 26.5b

regimes558.0ms

Accuracy

0% (2.4b remaining)

Error of 28.5b against oracle of 26.1b and baseline of 28.5b

bsearch0.0ms

simplify0.0ms

Iterations

Iter	Nodes
done	1
0	1

end0.0ms

sample6.4s

Algorithm

intervals

Results

2.0s	1373×	body	1280	valid
1.6s	626×	body	2560	valid
1.3s	4104×	body	80	valid
819.0ms	1028×	body	640	valid
272.0ms	565×	body	320	valid
102.0ms	304×	body	160	valid