Details

analyze342.0ms

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
25%	68.7%	6.3%	6
43.7%	46.8%	9.5%	7
43.7%	42.1%	14.1%	8
46.8%	36.7%	16.5%	9
46.8%	34%	19.2%	10
48.4%	31%	20.6%	11
48.4%	29.6%	22%	12
49.2%	28%	22.8%	13
49.2%	27.3%	23.5%	14

sample60.0ms

Algorithm

intervals

Results

14.0ms	53×	body	1024	valid
13.0ms	55×	body	1024	invalid
8.0ms	152×	body	128	valid
5.0ms	35×	body	512	valid
5.0ms	34×	body	512	invalid
2.0ms	16×	body	256	valid
1.0ms	23×	body	128	invalid
1.0ms	11×	body	256	invalid

simplify114.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (106.0ms)

Iter	Nodes	Cost
0	4799	11
1	4799	11

prune2.0ms

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: 0.1b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite25.0ms

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` `cosh-def_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	(cosh.f64 x)
13.0ms	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
4.0ms	(/.f64 (sin.f64 y) y)

series250.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(cosh.f64 x)
151.0ms	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
42.0ms	(/.f64 (sin.f64 y) y)

simplify70.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4950	1015
1	4950	1015

prune54.0ms

Filtered

63 candidates to 78 candidates (-23.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	72	6	78
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	72	7	79

Merged error: 0.0b

Counts

79 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(cosh.f64 x)
0.0b	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
0.1b	(/.f64 y (sin.f64 y))
0.1b	(/.f64 1 (/.f64 y (sin.f64 y)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac_binary64`
104×	`add-sqr-sqrt_binary64`
92×	`*-un-lft-identity_binary64`
90×	`add-cube-cbrt_binary64`
44×	`associate-r_binary64`
28×	`add-exp-log_binary64`
20×	`add-cbrt-cube_binary64`
16×	`associate-/r*_binary64`
10×	`div-inv_binary64`
9×	`div-exp_binary64`
7×	`pow1_binary64` `cbrt-undiv_binary64`
6×	`associate-/l*_binary64`
5×	`unswap-sqr_binary64` `prod-exp_binary64`
4×	`add-log-exp_binary64` `rec-exp_binary64`
3×	`cbrt-unprod_binary64` `associate-l_binary64` `cosh-def_binary64`
2×	`associate-/r/_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `inv-pow_binary64` `un-div-inv_binary64` `pow-flip_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 182

Calls

4 calls:

1.0ms	(cosh.f64 x)
19.0ms	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
4.0ms	(/.f64 y (sin.f64 y))
7.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))

series315.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(cosh.f64 x)
150.0ms	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
65.0ms	(/.f64 y (sin.f64 y))
43.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))

simplify72.0ms

Algorithm

egg-herbie

Counts

194 → 194

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4954	2891
1	4954	2891

prune119.0ms

Filtered

132 candidates to 194 candidates (-47.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	188	6	194
Fresh	4	1	5
Picked	1	0	1
Done	0	1	1
Total	193	8	201

Merged error: 0.0b

Counts

201 → 8

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(cosh.f64 x)
0.0b	(/.f64 (cosh.f64 x) y)
0.3b	(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))

rewrite18.0ms

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` `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` `cosh-def_binary64`
1×	`pow-prod-down_binary64` `associate-/l/_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

3 → 68

Calls

3 calls:

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

series320.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(cosh.f64 x)
102.0ms	(/.f64 (cosh.f64 x) y)
162.0ms	(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))

simplify71.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4954	997
1	4954	997

prune45.0ms

Filtered

60 candidates to 77 candidates (-28.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	74	3	77
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	76	9	85

Merged error: 0b

Counts

85 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(.f64 (cosh.f64 x) (/.f64 1 (.f64 y (/.f64 1 (sin.f64 y)))))
0.1b	(/.f64 1 (sin.f64 y))
0.1b	(/.f64 1 (*.f64 y (/.f64 1 (sin.f64 y))))
0.3b	(*.f64 y (/.f64 1 (sin.f64 y)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-exp-log_binary64`
34×	`add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
26×	`*-un-lft-identity_binary64` `times-frac_binary64`
25×	`add-cube-cbrt_binary64`
24×	`prod-exp_binary64`
22×	`associate-r_binary64`
14×	`rec-exp_binary64` `div-exp_binary64`
12×	`pow1_binary64`
10×	`cbrt-unprod_binary64` `cbrt-undiv_binary64`
6×	`associate-l_binary64` `associate-/l*_binary64`
4×	`associate-/r_binary64` `add-log-exp_binary64` `associate-r/_binary64` `associate-/r/_binary64` `unswap-sqr_binary64` `un-div-inv_binary64` `div-inv_binary64`
3×	`pow-prod-down_binary64` `pow-flip_binary64`
2×	`clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `cosh-def_binary64` `*-commutative_binary64`
1×	`frac-times_binary64` `associate-*l/_binary64`

Counts

4 → 137

Calls

4 calls:

13.0ms	(.f64 (cosh.f64 x) (/.f64 1 (.f64 y (/.f64 1 (sin.f64 y)))))
4.0ms	(/.f64 1 (sin.f64 y))
8.0ms	(/.f64 1 (*.f64 y (/.f64 1 (sin.f64 y))))
9.0ms	(*.f64 y (/.f64 1 (sin.f64 y)))

series288.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(.f64 (cosh.f64 x) (/.f64 1 (.f64 y (/.f64 1 (sin.f64 y)))))
45.0ms	(/.f64 1 (sin.f64 y))
36.0ms	(/.f64 1 (*.f64 y (/.f64 1 (sin.f64 y))))
55.0ms	(*.f64 y (/.f64 1 (sin.f64 y)))

simplify70.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4998	1511
1	4998	1511

prune64.0ms

Filtered

83 candidates to 149 candidates (-79.5%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	149	0	149
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	149	9	158

Merged error: 0b

Counts

158 → 9

regimes87.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	11
1	8	11

end0.0ms

sample2.0s

Algorithm

intervals

Results

525.0ms	1950×	body	1024	valid
471.0ms	1945×	body	1024	invalid
235.0ms	4561×	body	128	valid
160.0ms	981×	body	512	valid
158.0ms	1016×	body	512	invalid
59.0ms	511×	body	256	invalid
53.0ms	503×	body	256	valid
47.0ms	683×	body	128	invalid
4.0ms	5×	body	2048	valid
0.0ms	1×	body	2048	invalid

Details

analyze342.0ms

sample60.0ms

simplify114.0ms

prune2.0ms

localize7.0ms

rewrite25.0ms

series250.0ms

simplify70.0ms

prune54.0ms

localize8.0ms

rewrite51.0ms

series315.0ms

simplify72.0ms

prune119.0ms

localize6.0ms

rewrite18.0ms

series320.0ms

simplify71.0ms

prune45.0ms

localize11.0ms

rewrite45.0ms

series288.0ms

simplify70.0ms

prune64.0ms

regimes87.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.0s

Profiling