Details

sample127.0ms

Algorithm

intervals

Results

46.0ms	15×	body	2560	valid
29.0ms	41×	body	1280	valid
16.0ms	36×	body	640	valid
13.0ms	137×	body	80	valid
5.0ms	17×	body	320	valid
2.0ms	10×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	13
2	13
1	11
0	8

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.9b

localize15.0ms

Local error

Found 3 expressions with local error:

8.2b	(/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y))))
26.7b	(sin (/ x (* 2.0 y)))
27.1b	(tan (/ x (* 2.0 y)))

rewrite21.0ms

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:

13.0ms	(/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y))))
4.0ms	(sin (/ x (* 2.0 y)))
2.0ms	(tan (/ x (* 2.0 y)))

series141.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y))))
14.0ms	(sin (/ x (* 2.0 y)))
69.0ms	(tan (/ x (* 2.0 y)))

simplify915.0ms

Counts

52 → 52

Iterations

Iter	Nodes
done	5000
3	3127
2	501
1	145
0	77

prune293.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 24.6b

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

prune57.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 24.6b

localize30.0ms

Local error

Found 4 expressions with local error:

0.4b	(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
8.2b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
26.7b	(sin (/ x (* y 2.0)))
27.1b	(tan (/ x (* y 2.0)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac` `add-cube-cbrt`
13×	`unpow-prod-down` `cube-prod`
9×	`add-cbrt-cube` `add-exp-log`
5×	`pow1`
4×	`add-log-exp`
3×	`pow-unpow` `associate-/r` `div-inv` `associate-/l`
2×	`cbrt-undiv` `div-exp` `pow-exp` `tan-quot` `rem-cube-cbrt`
1×	`cube-div` `cube-mult` `pow-to-exp` `clear-num` `pow-pow` `frac-2neg` `unpow3` `sqr-pow` `associate-/l/`

Counts

4 → 89

Calls

4 calls:

12.0ms	(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
13.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
6.0ms	(sin (/ x (* y 2.0)))
4.0ms	(tan (/ x (* y 2.0)))

series216.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
59.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
14.0ms	(sin (/ x (* y 2.0)))
63.0ms	(tan (/ x (* y 2.0)))

simplify965.0ms

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
2	2163
1	445
0	122

prune570.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 24.6b

localize45.0ms

Local error

Found 4 expressions with local error:

0.4b	(pow (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y)))) 3)
8.2b	(/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y))))
26.7b	(sin (/ x (* 2.0 y)))
27.1b	(tan (/ x (* 2.0 y)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac` `add-cube-cbrt`
13×	`unpow-prod-down` `cube-prod`
9×	`add-cbrt-cube` `add-exp-log`
5×	`pow1`
4×	`add-log-exp`
3×	`pow-unpow` `associate-/r` `div-inv` `associate-/l`
2×	`cbrt-undiv` `div-exp` `pow-exp` `tan-quot` `rem-cube-cbrt`
1×	`cube-div` `cube-mult` `pow-to-exp` `clear-num` `pow-pow` `frac-2neg` `unpow3` `sqr-pow` `associate-/l/`

Counts

4 → 89

Calls

4 calls:

13.0ms	(pow (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y)))) 3)
14.0ms	(/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y))))
6.0ms	(sin (/ x (* 2.0 y)))
4.0ms	(tan (/ x (* 2.0 y)))

series192.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(pow (/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y)))) 3)
63.0ms	(/ (tan (/ x (* 2.0 y))) (sin (/ x (* 2.0 y))))
15.0ms	(sin (/ x (* 2.0 y)))
47.0ms	(tan (/ x (* 2.0 y)))

simplify1.0s

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
2	2162
1	446
0	122

prune597.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 24.6b

regimes665.0ms

Accuracy

42.2% (1.4b remaining)

Error of 27.5b against oracle of 26.0b and baseline of 28.5b

bsearch2.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	20
1	20
0	19

end0.0ms

sample5.9s

Algorithm

intervals

Results

2.3s	1398×	body	1280	valid
1.6s	664×	body	2560	valid
731.0ms	951×	body	640	valid
639.0ms	4110×	body	80	valid
235.0ms	548×	body	320	valid
105.0ms	329×	body	160	valid