Details

analyze340.0ms

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

sample89.0ms

Algorithm

intervals

Results

21.0ms	58×	body	1280	valid
18.0ms	61×	body	1280	invalid
10.0ms	47×	body	640	invalid
9.0ms	43×	body	640	valid
7.0ms	131×	body	80	valid
6.0ms	16×	body	320	valid
4.0ms	27×	body	320	invalid
1.0ms	21×	body	80	invalid
1.0ms	11×	body	160	invalid
1.0ms	8×	body	160	valid

simplify86.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4988	7
1	4988	7

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

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b	(/.f64 (sin.f64 y) y)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `times-frac_binary64`
3×	`associate-/r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l_binary64`
1×	`add-log-exp_binary64` `pow1_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

1 → 27

Calls

1 calls:

4.0ms

(/.f64 (sin.f64 y) y)

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(/.f64 (sin.f64 y) y)

simplify48.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5050	223

prune42.0ms

Filtered

23 candidates to 30 candidates (-30.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	25	5	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	25	6	31

Merged error: 0.0b

Counts

31 → 6

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(/.f64 y (sin.f64 y))
0.2b	(/.f64 1 (/.f64 y (sin.f64 y)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac_binary64`
52×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
16×	`associate-/r*_binary64`
15×	`add-exp-log_binary64`
9×	`add-cbrt-cube_binary64`
8×	`div-exp_binary64`
6×	`associate-/l*_binary64` `div-inv_binary64`
4×	`cbrt-undiv_binary64`
3×	`pow1_binary64`
2×	`add-log-exp_binary64` `1-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64`
1×	`associate-/r/_binary64` `inv-pow_binary64` `pow-flip_binary64`

Counts

2 → 103

Calls

2 calls:

4.0ms	(/.f64 y (sin.f64 y))
6.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))

series15.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(/.f64 y (sin.f64 y))
5.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))

simplify78.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4883	1001
1	4883	1001

prune75.0ms

Filtered

68 candidates to 109 candidates (-60.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	109	6	115

Merged error: 0.0b

Counts

115 → 6

localize8.0ms

Local error

Found 1 expressions with local error:

0.2b	(*.f64 (sin.f64 y) (/.f64 1 y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64`
13×	`associate-r_binary64`
11×	`times-frac_binary64`
10×	`*-un-lft-identity_binary64` `add-exp-log_binary64`
9×	`add-cube-cbrt_binary64`
6×	`add-cbrt-cube_binary64`
4×	`prod-exp_binary64`
3×	`pow1_binary64` `associate-l_binary64` `unswap-sqr_binary64`
2×	`cbrt-unprod_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `rec-exp_binary64` `un-div-inv_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

1 → 36

Calls

1 calls:

8.0ms

(*.f64 (sin.f64 y) (/.f64 1 y))

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(*.f64 (sin.f64 y) (/.f64 1 y))

simplify41.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5008	241

prune33.0ms

Filtered

23 candidates to 39 candidates (-69.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	39	6	45

Merged error: 0.0b

Counts

45 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (/.f64 (sin.f64 y) y))
0.1b	(*.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y)))
0.1b	(/.f64 (sin.f64 y) y)
0.1b	(/.f64 (sin.f64 y) y)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

90×	`add-sqr-sqrt_binary64`
79×	`sqrt-prod_binary64`
70×	`times-frac_binary64`
59×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
20×	`pow1_binary64`
18×	`swap-sqr_binary64`
16×	`associate-r_binary64` `associate-l_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow1/2_binary64` `sqrt-pow1_binary64` `unswap-sqr_binary64`
7×	`div-inv_binary64`
6×	`associate-/r_binary64` `associate-/l_binary64`
5×	`pow-prod-up_binary64` `sqrt-div_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `pow-sqr_binary64`
2×	`cbrt-undiv_binary64` `rem-sqrt-square_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64`
1×	`cbrt-unprod_binary64` `rem-square-sqrt_binary64` `associate-r/_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `prod-exp_binary64` `frac-times_binary64` `pow2_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 166

Calls

4 calls:

3.0ms	(sqrt.f64 (/.f64 (sin.f64 y) y))
14.0ms	(*.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y)))
5.0ms	(/.f64 (sin.f64 y) y)
4.0ms	(/.f64 (sin.f64 y) y)

series30.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(sqrt.f64 (/.f64 (sin.f64 y) y))
8.0ms	(*.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y)))
5.0ms	(/.f64 (sin.f64 y) y)
9.0ms	(/.f64 (sin.f64 y) y)

simplify61.0ms

Algorithm

egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4922	1536
1	4922	1536

prune109.0ms

Filtered

120 candidates to 178 candidates (-48.3%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	177	1	178
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	177	7	184

Merged error: 0b

Counts

184 → 7

regimes208.0ms

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	7	7
1	7	7

end0.0ms

sample2.3s

Algorithm

intervals

Results

516.0ms	1459×	body	1280	valid
473.0ms	1530×	body	1280	invalid
260.0ms	1247×	body	640	valid
251.0ms	1195×	body	640	invalid
214.0ms	4360×	body	80	valid
91.0ms	641×	body	320	invalid
83.0ms	586×	body	320	valid
40.0ms	348×	body	160	valid
31.0ms	314×	body	160	invalid
28.0ms	498×	body	80	invalid

Details

analyze340.0ms

sample89.0ms

simplify86.0ms

prune2.0ms

localize6.0ms

rewrite5.0ms

series5.0ms

simplify48.0ms

prune42.0ms

localize8.0ms

rewrite14.0ms

series15.0ms

simplify78.0ms

prune75.0ms

localize8.0ms

rewrite10.0ms

series6.0ms

simplify41.0ms

prune33.0ms

localize9.0ms

rewrite34.0ms

series30.0ms

simplify61.0ms

prune109.0ms

regimes208.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.3s

Profiling