Details

analyze360.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
37.5%	50%	12.6%	7
37.5%	50%	12.6%	8
43.7%	37.5%	18.8%	9
43.7%	37.5%	18.8%	10
46.8%	31.2%	22%	11
46.8%	31.2%	22%	12
48.4%	28.1%	23.5%	13
48.4%	28.1%	23.5%	14

sample68.0ms

Algorithm

intervals

Results

16.0ms	46×	body	1280	valid
14.0ms	35×	body	1280	invalid
9.0ms	46×	body	640	valid
6.0ms	128×	body	80	valid
5.0ms	24×	body	640	invalid
4.0ms	29×	body	320	valid
2.0ms	13×	body	320	invalid
1.0ms	13×	body	80	invalid
1.0ms	7×	body	160	valid
0.0ms	4×	body	160	invalid

simplify45.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4909	7
1	4909	7

prune4.0ms

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: 0.0b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (sinh y) y)
0.0b	(sinh y)
0.0b	(* (cos x) (/ (sinh y) y))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
13×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1`
3×	`associate-l` `associate-/r` `associate-/l` `add-log-exp`
2×	`cbrt-undiv` `sinh-def` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `associate-/l/`

Counts

3 → 68

Calls

3 calls:

4.0ms	(/ (sinh y) y)
1.0ms	(sinh y)
7.0ms	(* (cos x) (/ (sinh y) y))

series44.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(/ (sinh y) y)
8.0ms	(sinh y)
24.0ms	(* (cos x) (/ (sinh y) y))

simplify65.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4929	621
1	4929	621

prune85.0ms

Filtered

61 candidates to 77 candidates (-26.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	73	4	77
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	73	5	78

Merged error: 0b

Counts

78 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (/ (sinh y) y))
0.0b	(* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))
0.0b	(* (* (cos x) (* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))) (cbrt (/ (sinh y) y)))
0.0b	(* (cos x) (* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y))))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

90×	`cbrt-prod`
77×	`add-sqr-sqrt`
60×	`times-frac`
52×	`add-cube-cbrt` `*-un-lft-identity`
33×	`associate-r`
25×	`pow1`
21×	`cbrt-div`
20×	`add-exp-log` `associate-l`
16×	`swap-sqr`
14×	`associate-*r/`
11×	`pow-prod-down` `add-cbrt-cube`
10×	`prod-exp` `cbrt-unprod` `unswap-sqr`
7×	`frac-times` `pow1/3` `associate-*l/`
6×	`div-inv`
4×	`add-log-exp`
3×	`*-commutative`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 163

Calls

4 calls:

3.0ms	(cbrt (/ (sinh y) y))
16.0ms	(* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))
17.0ms	(* (* (cos x) (* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))) (cbrt (/ (sinh y) y)))
12.0ms	(* (cos x) (* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y))))

series159.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(cbrt (/ (sinh y) y))
48.0ms	(* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))
22.0ms	(* (* (cos x) (* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))) (cbrt (/ (sinh y) y)))
50.0ms	(* (cos x) (* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y))))

simplify79.0ms

Algorithm

egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4938	2277
1	4938	2277

prune171.0ms

Filtered

126 candidates to 175 candidates (-38.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	174	1	175
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	175	5	180

Merged error: 0b

Counts

180 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh y)
0.0b	(* (cos x) (/ (sinh y) y))
0.4b	(pow (* (cos x) (/ (sinh y) y)) 3)
0.6b	(cbrt (pow (* (cos x) (/ (sinh y) y)) 3))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
15×	`add-exp-log` `add-cbrt-cube`
14×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
10×	`times-frac`
9×	`pow1`
8×	`cbrt-prod`
4×	`prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow-unpow` `associate-r/` `associate-l*` `pow-exp` `rem-cube-cbrt`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow-prod-down` `pow-pow` `unpow3` `cube-prod` `div-exp` `pow-prod-down` `unswap-sqr` `sqr-pow`
1×	`pow-to-exp` `sinh-def` `cbrt-div` `pow1/3` `*-commutative` `rem-cbrt-cube` `div-inv`

Counts

4 → 83

Calls

4 calls:

2.0ms	(sinh y)
13.0ms	(* (cos x) (/ (sinh y) y))
9.0ms	(pow (* (cos x) (/ (sinh y) y)) 3)
2.0ms	(cbrt (pow (* (cos x) (/ (sinh y) y)) 3))

series148.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(sinh y)
32.0ms	(* (cos x) (/ (sinh y) y))
69.0ms	(pow (* (cos x) (/ (sinh y) y)) 3)
39.0ms	(cbrt (pow (* (cos x) (/ (sinh y) y)) 3))

simplify26.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	4993	870
1	4993	870

prune140.0ms

Filtered

69 candidates to 95 candidates (-37.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	95	5	100

Merged error: 0b

Counts

100 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh y)
0.0b	(pow (exp (cos x)) (/ (sinh y) y))
0.1b	(exp (cos x))
0.6b	(log (pow (exp (cos x)) (/ (sinh y) y)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
13×	`pow-unpow`
9×	`times-frac`
7×	`log-prod`
6×	`unpow-prod-down` `exp-prod`
5×	`pow1` `add-exp-log` `add-log-exp`
4×	`pow-pow` `add-cbrt-cube`
3×	`rem-log-exp`
2×	`pow-to-exp` `pow-exp` `sqr-pow`
1×	`sinh-def` `log-pow` `div-inv` `rem-exp-log`

Counts

4 → 67

Calls

4 calls:

1.0ms	(sinh y)
5.0ms	(pow (exp (cos x)) (/ (sinh y) y))
2.0ms	(exp (cos x))
3.0ms	(log (pow (exp (cos x)) (/ (sinh y) y)))

series80.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(sinh y)
32.0ms	(pow (exp (cos x)) (/ (sinh y) y))
7.0ms	(exp (cos x))
33.0ms	(log (pow (exp (cos x)) (/ (sinh y) y)))

simplify59.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4978	773
1	4978	773

prune90.0ms

Filtered

59 candidates to 79 candidates (-33.9%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	78	1	79
Fresh	1	0	1
Picked	0	1	1
Done	0	3	3
Total	79	5	84

Merged error: 0b

Counts

84 → 5

regimes232.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7

end0.0ms

sample2.3s

Algorithm

intervals

Results

489.0ms	1468×	body	1280	valid
443.0ms	1510×	body	1280	invalid
399.0ms	4382×	body	80	valid
238.0ms	1262×	body	640	invalid
232.0ms	1232×	body	640	valid
82.0ms	596×	body	320	valid
78.0ms	595×	body	320	invalid
32.0ms	514×	body	80	invalid
30.0ms	322×	body	160	valid
25.0ms	270×	body	160	invalid

Details

analyze360.0ms

sample68.0ms

simplify45.0ms

prune4.0ms

localize8.0ms

rewrite14.0ms

series44.0ms

simplify65.0ms

prune85.0ms

localize12.0ms

rewrite55.0ms

series159.0ms

simplify79.0ms

prune171.0ms

localize13.0ms

rewrite30.0ms

series148.0ms

simplify26.0ms

prune140.0ms

localize12.0ms

rewrite13.0ms

series80.0ms

simplify59.0ms

prune90.0ms

regimes232.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.3s

Profiling