Details

sample88.0ms

Algorithm

intervals

Results

27.0ms	22×	body	2560	valid
24.0ms	40×	body	1280	valid
12.0ms	36×	body	640	valid
9.0ms	132×	body	80	valid
4.0ms	16×	body	320	valid
2.0ms	10×	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: 32.4b

localize15.0ms

Local error

Found 3 expressions with local error:

4.5b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
28.1b	(sin (/ x (* y 2.0)))
28.3b	(tan (/ 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))))
2.0ms	(sin (/ x (* y 2.0)))
1.0ms	(tan (/ x (* y 2.0)))

series86.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
8.0ms	(sin (/ x (* y 2.0)))
35.0ms	(tan (/ x (* y 2.0)))

simplify51.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (5.0ms)

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

prune160.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 25.8b

localize3.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify3.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune30.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 25.8b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (/ (sin (/ x (* y 2.0))) (tan (/ x (* y 2.0)))))
4.6b	(/ (sin (/ x (* y 2.0))) (tan (/ x (* y 2.0))))
28.1b	(sin (/ x (* y 2.0)))
28.3b	(tan (/ x (* y 2.0)))

rewrite25.0ms

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)))))
9.0ms	(/ (sin (/ x (* y 2.0))) (tan (/ x (* y 2.0))))
2.0ms	(sin (/ x (* y 2.0)))
1.0ms	(tan (/ x (* y 2.0)))

series121.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(/ 1 (/ (sin (/ x (* y 2.0))) (tan (/ x (* y 2.0)))))
33.0ms	(/ (sin (/ x (* y 2.0))) (tan (/ x (* y 2.0))))
8.0ms	(sin (/ x (* y 2.0)))
40.0ms	(tan (/ x (* y 2.0)))

simplify59.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (45.0ms)

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

prune279.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 25.8b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (/ (sin (/ x (* y 2.0))) (tan (/ x (* y 2.0)))) 3)
4.6b	(/ (sin (/ x (* y 2.0))) (tan (/ x (* y 2.0))))
28.1b	(sin (/ x (* y 2.0)))
28.3b	(tan (/ x (* y 2.0)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

7.0ms	(pow (/ (sin (/ x (* y 2.0))) (tan (/ x (* y 2.0)))) 3)
8.0ms	(/ (sin (/ x (* y 2.0))) (tan (/ x (* y 2.0))))
2.0ms	(sin (/ x (* y 2.0)))
1.0ms	(tan (/ x (* y 2.0)))

series143.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(pow (/ (sin (/ x (* y 2.0))) (tan (/ x (* y 2.0)))) 3)
35.0ms	(/ (sin (/ x (* y 2.0))) (tan (/ x (* y 2.0))))
13.0ms	(sin (/ x (* y 2.0)))
35.0ms	(tan (/ x (* y 2.0)))

simplify62.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	351	1073
1	1699	978
2	5001	969

prune269.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 25.7b

regimes409.0ms

Accuracy

0% (2.5b remaining)

Error of 28.4b against oracle of 25.9b and baseline of 28.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	0

end0.0ms

sample2.8s

Algorithm

intervals

Results

898.0ms	1434×	body	1280	valid
878.0ms	660×	body	2560	valid
346.0ms	927×	body	640	valid
312.0ms	4116×	body	80	valid
141.0ms	561×	body	320	valid
58.0ms	302×	body	160	valid