Details

sample78.0ms

Algorithm

intervals

Results

23.0ms	48×	body	1280	valid
19.0ms	20×	body	2560	valid
11.0ms	35×	body	640	valid
8.0ms	130×	body	80	valid
4.0ms	18×	body	320	valid
1.0ms	5×	body	160	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 33.7b

Counts

2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ x (* y 2.0))
4.5b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
28.5b	(sin (/ x (* y 2.0)))
29.1b	(tan (/ x (* y 2.0)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
11×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*`
4×	`pow1` `associate-/r*` `add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`tan-quot` `frac-2neg` `clear-num` `div-inv`
1×	`prod-exp` `cbrt-unprod` `associate-/l/`

Counts

4 → 64

Calls

4 calls:

4.0ms	(/ x (* y 2.0))
5.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
2.0ms	(sin (/ x (* y 2.0)))
3.0ms	(tan (/ x (* y 2.0)))

series36.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/ x (* y 2.0))
16.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
3.0ms	(sin (/ x (* y 2.0)))
13.0ms	(tan (/ x (* y 2.0)))

simplify94.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	229	540
1	840	484
2	4356	484
3	5001	484

prune219.0ms

Filtered

61 candidates to 76 candidates (-24.6%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	59	17	76
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	60	17	77

Merged error: 25.6b

Counts

77 → 17

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

prune60.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	16	16
Picked	1	1
Done	0	0
Total	17	17

Merged error: 25.6b

Counts

17 → 17

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b	(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
4.5b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
28.5b	(sin (/ x (* y 2.0)))
29.1b	(tan (/ x (* y 2.0)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

5.0ms	(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
5.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
2.0ms	(sin (/ x (* y 2.0)))
2.0ms	(tan (/ x (* y 2.0)))

series58.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
17.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
3.0ms	(sin (/ x (* y 2.0)))
15.0ms	(tan (/ x (* y 2.0)))

simplify51.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	337	1074
1	1554	977
2	5002	968

prune233.0ms

Filtered

67 candidates to 101 candidates (-50.7%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	98	3	101
Fresh	2	13	15
Picked	1	0	1
Done	0	1	1
Total	101	17	118

Merged error: 25.6b

Counts

118 → 17

localize16.0ms

Local error

Found 4 expressions with local error:

0.4b	(pow (pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3) 3)
4.5b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
28.5b	(sin (/ x (* y 2.0)))
29.1b	(tan (/ x (* y 2.0)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 128

Calls

4 calls:

11.0ms	(pow (pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3) 3)
5.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
2.0ms	(sin (/ x (* y 2.0)))
2.0ms	(tan (/ x (* y 2.0)))

series61.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(pow (pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3) 3)
17.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
3.0ms	(sin (/ x (* y 2.0)))
13.0ms	(tan (/ x (* y 2.0)))

simplify102.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	523	1810
1	2640	1701
2	5001	1618

prune214.0ms

Filtered

69 candidates to 140 candidates (-102.9%)

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	135	5	140
Fresh	3	12	15
Picked	0	1	1
Done	0	1	1
Total	138	19	157

Merged error: 25.6b

Counts

157 → 19

regimes561.0ms

Accuracy

0% (3.1b remaining)

Error of 28.2b against oracle of 25.1b and baseline of 28.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	0

end0.0ms

sample2.3s

Algorithm

intervals

Results

659.0ms	1346×	body	1280	valid
637.0ms	654×	body	2560	valid
309.0ms	993×	body	640	valid
282.0ms	4142×	body	80	valid
131.0ms	576×	body	320	valid
48.0ms	289×	body	160	valid

Details

sample78.0ms

simplify4.0ms

prune3.0ms

localize14.0ms

rewrite15.0ms

series36.0ms

simplify94.0ms

prune219.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune60.0ms

localize13.0ms

rewrite17.0ms

series58.0ms

simplify51.0ms

prune233.0ms

localize16.0ms

rewrite25.0ms

series61.0ms

simplify102.0ms

prune214.0ms

regimes561.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.3s

Profiling