Details

sample87.0ms

Algorithm

intervals

Results

28.0ms	46×	body	1280	valid
16.0ms	12×	body	2560	valid
13.0ms	37×	body	640	valid
10.0ms	135×	body	80	valid
5.0ms	20×	body	320	valid
1.0ms	6×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	11	13
2	13	13
done	13	13

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.7b

localize10.0ms

Local error

Found 3 expressions with local error:

8.7b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
27.4b	(sin (/ x (* y 2.0)))
27.9b	(tan (/ x (* y 2.0)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
5×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `expm1-log1p-u` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`tan-quot`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv` `associate-/l/`

Counts

3 → 49

Calls

3 calls:

12.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
5.0ms	(sin (/ x (* y 2.0)))
4.0ms	(tan (/ x (* y 2.0)))

series113.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
12.0ms	(sin (/ x (* y 2.0)))
54.0ms	(tan (/ x (* y 2.0)))

simplify1.5s

Counts

58 → 58

Iterations

Useful iterations: 3 (146.0ms)

Iter	Nodes	Cost
0	83	878
1	147	865
2	330	789
3	814	785
4	2543	785
done	5001	785

prune219.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 25.0b

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune29.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 25.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.7b	(expm1 (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))
8.7b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
27.4b	(sin (/ x (* y 2.0)))
27.9b	(tan (/ x (* y 2.0)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
6×	`add-exp-log` `add-cbrt-cube`
5×	`log1p-expm1-u`
4×	`pow1` `expm1-log1p-u` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`tan-quot`
1×	`cbrt-undiv` `expm1-log1p` `frac-2neg` `div-exp` `clear-num` `div-inv` `associate-/l/` `expm1-udef`

Counts

4 → 60

Calls

4 calls:

0.0ms	(expm1 (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))
12.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
5.0ms	(sin (/ x (* y 2.0)))
4.0ms	(tan (/ x (* y 2.0)))

series204.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(expm1 (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))
48.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
12.0ms	(sin (/ x (* y 2.0)))
50.0ms	(tan (/ x (* y 2.0)))

simplify1.7s

Counts

72 → 72

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	100	1106
1	180	1089
2	404	983
3	994	979
4	3017	979
done	5000	977

prune286.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 25.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.7b	(expm1 (cbrt (pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)))
8.7b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
27.4b	(sin (/ x (* y 2.0)))
27.9b	(tan (/ x (* y 2.0)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
6×	`add-exp-log` `add-cbrt-cube`
5×	`log1p-expm1-u`
4×	`pow1` `expm1-log1p-u` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`tan-quot`
1×	`cbrt-undiv` `expm1-log1p` `frac-2neg` `div-exp` `clear-num` `div-inv` `associate-/l/` `expm1-udef`

Counts

4 → 60

Calls

4 calls:

0.0ms	(expm1 (cbrt (pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)))
11.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
5.0ms	(sin (/ x (* y 2.0)))
3.0ms	(tan (/ x (* y 2.0)))

series198.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(expm1 (cbrt (pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)))
46.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
11.0ms	(sin (/ x (* y 2.0)))
46.0ms	(tan (/ x (* y 2.0)))

simplify1.8s

Counts

72 → 72

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	104	1145
1	189	1063
2	421	983
3	1035	979
4	3176	979
done	5001	977

prune290.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 25.0b

regimes291.0ms

Accuracy

0% (2.5b remaining)

Error of 28.6b against oracle of 26.1b and baseline of 28.6b

bsearch0.0ms

simplify0.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1
done	1	1

end0.0ms

sample2.9s

Algorithm

intervals

Results

866.0ms	1414×	body	1280	valid
864.0ms	646×	body	2560	valid
372.0ms	953×	body	640	valid
326.0ms	4094×	body	80	valid
148.0ms	569×	body	320	valid
63.0ms	324×	body	160	valid