Details

analyze328.0ms

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
25%	74.9%	0.1%	5
43.7%	56.2%	0.1%	6
43.7%	46.8%	9.5%	7
46.8%	42.1%	11%	8
46.8%	36.7%	16.5%	9
48.4%	34%	17.7%	10
48.4%	31%	20.6%	11
49.2%	29.6%	21.3%	12
49.2%	28%	22.8%	13
49.6%	27.3%	23.1%	14

sample53.0ms

Algorithm

intervals

Results

13.0ms	45×	body	1280	invalid
9.0ms	205×	body	80	valid
6.0ms	29×	body	640	invalid
5.0ms	16×	body	1280	valid
4.0ms	20×	body	640	valid
2.0ms	16×	body	320	invalid
1.0ms	9×	body	320	valid
1.0ms	17×	body	80	invalid
1.0ms	7×	body	160	invalid
1.0ms	6×	body	160	valid

simplify95.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	5502	11

prune1.0ms

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: 16.5b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh.f64 y)
0.1b	(*.f64 (sin.f64 x) (sinh.f64 y))
16.5b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`add-sqr-sqrt_binary64`
7×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
5×	`pow1_binary64`
3×	`associate-/r_binary64` `add-log-exp_binary64` `sinh-def_binary64` `associate-r_binary64` `associate-l*_binary64` `times-frac_binary64`
2×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `prod-exp_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `associate-/l/_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

3 → 49

Calls

3 calls:

1.0ms	(sinh.f64 y)
5.0ms	(*.f64 (sin.f64 x) (sinh.f64 y))
6.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

series208.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(sinh.f64 y)
80.0ms	(*.f64 (sin.f64 x) (sinh.f64 y))
91.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

simplify63.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5691	673

prune48.0ms

Filtered

43 candidates to 58 candidates (-34.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	49	9	58
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	50	9	59

Merged error: 0b

Counts

59 → 9

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (sinh.f64 y) x)
0.0b	(sinh.f64 y)
0.1b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64`
19×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `times-frac_binary64`
13×	`associate-r_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`pow1_binary64`
3×	`associate-/r_binary64` `add-log-exp_binary64` `associate-l_binary64` `associate-/l_binary64`
2×	`sinh-def_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `associate-/l/_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `-commutative_binary64`

Counts

3 → 68

Calls

3 calls:

4.0ms	(/.f64 (sinh.f64 y) x)
1.0ms	(sinh.f64 y)
7.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))

series189.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(/.f64 (sinh.f64 y) x)
39.0ms	(sinh.f64 y)
91.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))

simplify89.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4930	1011
1	4930	1011

prune54.0ms

Filtered

59 candidates to 77 candidates (-30.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	77	9	86

Merged error: 0b

Counts

86 → 9

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 x (sinh.f64 y))
0.0b	(sinh.f64 y)
0.7b	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

87×	`times-frac_binary64`
54×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
17×	`associate-/r*_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`sinh-def_binary64` `associate-/r/_binary64` `associate-/l*_binary64` `div-inv_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
3×	`add-log-exp_binary64` `pow1_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64`

Counts

3 → 110

Calls

3 calls:

3.0ms	(/.f64 x (sinh.f64 y))
1.0ms	(sinh.f64 y)
7.0ms	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))

series280.0ms

Counts

3 → 9

Calls

3 calls:

115.0ms	(/.f64 x (sinh.f64 y))
66.0ms	(sinh.f64 y)
99.0ms	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))

simplify103.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4927	2253
1	4927	2253

prune72.0ms

Filtered

97 candidates to 119 candidates (-22.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	117	2	119
Fresh	2	5	7
Picked	1	0	1
Done	0	1	1
Total	120	8	128

Merged error: 0b

Counts

128 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh.f64 y)
0.1b	(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
0.1b	(/.f64 (sin.f64 x) x)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64`
19×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `times-frac_binary64`
13×	`associate-l_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`pow1_binary64`
3×	`associate-/r_binary64` `add-log-exp_binary64` `sinh-def_binary64` `associate-r_binary64` `associate-/l_binary64`
2×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

3 → 69

Calls

3 calls:

1.0ms	(sinh.f64 y)
7.0ms	(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
4.0ms	(/.f64 (sin.f64 x) x)

series149.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(sinh.f64 y)
87.0ms	(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
22.0ms	(/.f64 (sin.f64 x) x)

simplify61.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5014	1001

prune38.0ms

Filtered

61 candidates to 78 candidates (-27.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	2	4	6
Picked	1	0	1
Done	0	1	1
Total	80	6	86

Merged error: 0b

Counts

86 → 6

regimes56.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	14
1	12	14

end0.0ms

sample1.8s

Algorithm

intervals

Results

465.0ms	1499×	body	1280	invalid
292.0ms	6102×	body	80	valid
259.0ms	1262×	body	640	invalid
164.0ms	756×	body	640	valid
129.0ms	361×	body	1280	valid
95.0ms	613×	body	320	invalid
77.0ms	492×	body	320	valid
36.0ms	326×	body	160	invalid
34.0ms	576×	body	80	invalid
29.0ms	289×	body	160	valid

Details

analyze328.0ms

sample53.0ms

simplify95.0ms

prune1.0ms

localize6.0ms

rewrite13.0ms

series208.0ms

simplify63.0ms

prune48.0ms

localize6.0ms

rewrite14.0ms

series189.0ms

simplify89.0ms

prune54.0ms

localize6.0ms

rewrite16.0ms

series280.0ms

simplify103.0ms

prune72.0ms

localize7.0ms

rewrite14.0ms

series149.0ms

simplify61.0ms

prune38.0ms

regimes56.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample1.8s

Profiling