Details

sample120.0ms

Algorithm

intervals

Results

38.0ms	39×	body	1280	valid
25.0ms	13×	body	2560	valid
17.0ms	31×	body	640	valid
15.0ms	135×	body	80	valid
9.0ms	24×	body	320	valid
4.0ms	14×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	7
1	13	7
2	13	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.5b

localize9.0ms

Local error

Found 3 expressions with local error:

7.7b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
27.0b	(tan (/ x (* y 2.0)))
27.1b	(sin (/ x (* y 2.0)))

rewrite8.0ms

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` `associate-/r` `associate-/l` `add-log-exp`
2×	`tan-quot`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv` `associate-/l/`

Counts

3 → 43

Calls

3 calls:

4.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
1.0ms	(tan (/ x (* y 2.0)))
2.0ms	(sin (/ x (* y 2.0)))

series82.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
35.0ms	(tan (/ x (* y 2.0)))
8.0ms	(sin (/ x (* y 2.0)))

simplify49.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	138	457
1	421	413
2	1765	413
3	5001	413

prune194.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 24.5b

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune37.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 24.5b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (/ (sin (/ x (* y 2.0))) (tan (/ x (* y 2.0)))))
7.7b	(/ (sin (/ x (* y 2.0))) (tan (/ x (* y 2.0))))
27.0b	(tan (/ x (* y 2.0)))
27.1b	(sin (/ x (* y 2.0)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

87×	`times-frac`
55×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
17×	`add-exp-log` `associate-/r*`
11×	`add-cbrt-cube`
8×	`div-exp`
6×	`tan-quot` `associate-/r/` `div-inv` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`pow-flip` `inv-pow`

Counts

4 → 123

Calls

4 calls:

8.0ms	(/ 1 (/ (sin (/ x (* y 2.0))) (tan (/ x (* y 2.0)))))
8.0ms	(/ (sin (/ x (* y 2.0))) (tan (/ x (* y 2.0))))
1.0ms	(tan (/ x (* y 2.0)))
4.0ms	(sin (/ x (* y 2.0)))

series121.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(/ 1 (/ (sin (/ x (* y 2.0))) (tan (/ x (* y 2.0)))))
38.0ms	(/ (sin (/ x (* y 2.0))) (tan (/ x (* y 2.0))))
38.0ms	(tan (/ x (* y 2.0)))
8.0ms	(sin (/ x (* y 2.0)))

simplify60.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	375	1624
1	1987	1472
2	5001	1397

prune266.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 24.4b

localize12.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ 1 (- 1 (* 0.125 (/ (pow x 2) (pow y 2)))))
16.5b	(/ (pow x 2) (pow y 2))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

73×	`times-frac`
54×	`unpow-prod-down`
46×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`add-exp-log` `unpow2` `sqr-pow`
11×	`div-exp` `associate-/r` `associate-/l`
6×	`pow-to-exp` `pow-exp` `add-cbrt-cube`
3×	`pow1`
2×	`cbrt-undiv` `frac-2neg` `clear-num` `associate-/r/` `div-inv` `add-log-exp`
1×	`rec-exp` `flip3--` `pow-flip` `1-exp` `flip--` `inv-pow`

Counts

2 → 133

Calls

2 calls:

7.0ms	(/ 1 (- 1 (* 0.125 (/ (pow x 2) (pow y 2)))))
11.0ms	(/ (pow x 2) (pow y 2))

series86.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(/ 1 (- 1 (* 0.125 (/ (pow x 2) (pow y 2)))))
37.0ms	(/ (pow x 2) (pow y 2))

simplify44.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	368	961
1	1736	794
2	5002	782

prune196.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 24.4b

regimes368.0ms

Accuracy

38.7% (1.6b remaining)

Error of 27.8b against oracle of 26.2b and baseline of 28.8b

bsearch2.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	17
1	20	17

end0.0ms

sample2.7s

Algorithm

intervals

Results

852.0ms	1407×	body	1280	valid
811.0ms	638×	body	2560	valid
359.0ms	989×	body	640	valid
301.0ms	4057×	body	80	valid
143.0ms	593×	body	320	valid
58.0ms	316×	body	160	valid