Details

sample75.0ms

Algorithm

intervals

Results

19.0ms	40×	body	1280	valid
18.0ms	19×	body	2560	valid
11.0ms	37×	body	640	valid
10.0ms	134×	body	80	valid
4.0ms	17×	body	320	valid
1.0ms	9×	body	160	valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	13
1	13	13

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: 34.1b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

6.2b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
27.2b	(tan (/ x (* y 2.0)))
27.2b	(sin (/ x (* y 2.0)))

rewrite10.0ms

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:

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

series38.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
14.0ms	(tan (/ x (* y 2.0)))
4.0ms	(sin (/ x (* y 2.0)))

simplify37.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5037	733

prune183.0ms

Filtered

44 candidates to 52 candidates (-18.2%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	37	15	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	38	15	53

Merged error: 25.8b

Counts

53 → 15

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

prune57.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	14	14
Picked	1	1
Done	0	0
Total	15	15

Merged error: 25.8b

Counts

15 → 15

localize10.0ms

Local error

Found 4 expressions with local error:

6.3b	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
27.2b	(sin (/ x (* y 2.0)))
27.2b	(sin (/ x (* y 2.0)))
27.6b	(cos (/ x (* y 2.0)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-exp-log` `add-cbrt-cube`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-log-exp`
3×	`times-frac` `associate-/l*`
2×	`cbrt-undiv` `div-exp`
1×	`frac-2neg` `prod-exp` `clear-num` `associate-/r*` `associate-/r/` `sin-cos-mult` `cbrt-unprod` `div-inv`

Counts

4 → 43

Calls

4 calls:

7.0ms	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
2.0ms	(sin (/ x (* y 2.0)))
2.0ms	(sin (/ x (* y 2.0)))
2.0ms	(cos (/ x (* y 2.0)))

series19.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
4.0ms	(sin (/ x (* y 2.0)))
3.0ms	(sin (/ x (* y 2.0)))
5.0ms	(cos (/ x (* y 2.0)))

simplify78.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4681	542
1	4681	542

prune190.0ms

Filtered

45 candidates to 55 candidates (-22.2%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	45	10	55
Fresh	4	9	13
Picked	1	0	1
Done	0	1	1
Total	50	20	70

Merged error: 25.8b

Counts

70 → 20

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ 1 (cos (/ x (* y 2.0))))) (cbrt (/ 1 (cos (/ x (* y 2.0))))))
27.6b	(cos (/ x (* y 2.0)))
27.6b	(cos (/ x (* y 2.0)))
27.6b	(cos (/ x (* y 2.0)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

80×	`cbrt-prod`
76×	`add-sqr-sqrt`
52×	`times-frac`
46×	`*-un-lft-identity`
36×	`add-cube-cbrt`
18×	`swap-sqr`
16×	`associate-r` `associate-l` `unswap-sqr`
11×	`pow1`
6×	`add-exp-log` `pow1/3` `div-inv`
4×	`cbrt-div` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 108

Calls

4 calls:

13.0ms	(* (cbrt (/ 1 (cos (/ x (* y 2.0))))) (cbrt (/ 1 (cos (/ x (* y 2.0))))))
2.0ms	(cos (/ x (* y 2.0)))
2.0ms	(cos (/ x (* y 2.0)))
2.0ms	(cos (/ x (* y 2.0)))

series40.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (cbrt (/ 1 (cos (/ x (* y 2.0))))) (cbrt (/ 1 (cos (/ x (* y 2.0))))))
4.0ms	(cos (/ x (* y 2.0)))
4.0ms	(cos (/ x (* y 2.0)))
5.0ms	(cos (/ x (* y 2.0)))

simplify55.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4944	2077
1	4944	2077

prune276.0ms

Filtered

74 candidates to 120 candidates (-62.2%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	112	8	120
Fresh	8	10	18
Picked	1	0	1
Done	0	1	1
Total	121	19	140

Merged error: 25.6b

Counts

140 → 19

regimes494.0ms

Accuracy

0% (2.5b remaining)

Error of 28.1b against oracle of 25.6b and baseline of 28.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	69
1	23	69

end0.0ms

sample2.3s

Algorithm

intervals

Results

694.0ms	1385×	body	1280	valid
570.0ms	581×	body	2560	valid
313.0ms	1020×	body	640	valid
298.0ms	4150×	body	80	valid
131.0ms	571×	body	320	valid
50.0ms	293×	body	160	valid

Details

sample75.0ms

simplify3.0ms

prune3.0ms

localize9.0ms

rewrite10.0ms

series38.0ms

simplify37.0ms

prune183.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune57.0ms

localize10.0ms

rewrite14.0ms

series19.0ms

simplify78.0ms

prune190.0ms

localize12.0ms

rewrite25.0ms

series40.0ms

simplify55.0ms

prune276.0ms

regimes494.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.3s

Profiling