Details

analyze79.0ms

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
50%	50%	0.1%	5
56.2%	43.7%	0.1%	6
74.9%	25%	0.1%	7
76.5%	23.4%	0.1%	8
84.3%	15.6%	0.1%	9
86.2%	13.7%	0.1%	10
91.3%	8.6%	0.1%	11
92.6%	7.3%	0.1%	12
95.4%	4.5%	0.1%	13
96.1%	3.8%	0.1%	14

sample38.0ms

Algorithm

intervals

Results

15.0ms	36×	body	1280	valid
6.0ms	161×	body	80	valid
5.0ms	31×	body	640	valid
2.0ms	18×	body	320	valid
1.0ms	10×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	16	6
1	16	6

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

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64`
19×	`times-frac_binary64`
18×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
13×	`associate-r_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`pow1_binary64`
3×	`associate-/r_binary64` `associate-l_binary64` `associate-/l_binary64`
2×	`add-log-exp_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-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `-commutative_binary64`

Counts

2 → 59

Calls

2 calls:

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

series15.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
5.0ms	(/.f64 (sin.f64 y) y)

simplify52.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5076	493

prune86.0ms

Filtered

50 candidates to 65 candidates (-30.0%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	56	9	65
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	57	9	66

Merged error: 0b

Counts

66 → 9

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac_binary64`
103×	`add-sqr-sqrt_binary64`
91×	`*-un-lft-identity_binary64`
89×	`add-cube-cbrt_binary64`
44×	`associate-r_binary64`
35×	`add-exp-log_binary64`
19×	`add-cbrt-cube_binary64`
16×	`associate-/r*_binary64`
15×	`div-exp_binary64`
10×	`div-inv_binary64`
7×	`cbrt-undiv_binary64` `prod-exp_binary64`
6×	`pow1_binary64` `associate-/l*_binary64`
5×	`unswap-sqr_binary64`
4×	`1-exp_binary64` `rec-exp_binary64`
3×	`add-log-exp_binary64` `cbrt-unprod_binary64` `associate-l_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` `-commutative_binary64`

Counts

3 → 176

Calls

3 calls:

4.0ms	(/.f64 y (sin.f64 y))
15.0ms	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
6.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))

series23.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(/.f64 y (sin.f64 y))
12.0ms	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
4.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))

simplify68.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4943	1655
1	4943	1655

prune130.0ms

Filtered

123 candidates to 185 candidates (-50.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	182	3	185
Fresh	6	2	8
Picked	1	0	1
Done	0	0	0
Total	189	5	194

Merged error: 0b

Counts

194 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

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`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-/l*_binary64` `div-inv_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
2×	`add-log-exp_binary64` `pow1_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`associate-/r/_binary64`

Counts

2 → 97

Calls

2 calls:

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

series18.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(/.f64 x (/.f64 y (sin.f64 y)))
9.0ms	(/.f64 y (sin.f64 y))

simplify56.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5075	1106

prune80.0ms

Filtered

84 candidates to 103 candidates (-22.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	103	5	108

Merged error: 0b

Counts

108 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

854×	`times-frac_binary64`
426×	`add-sqr-sqrt_binary64`
397×	`*-un-lft-identity_binary64`
391×	`add-cube-cbrt_binary64`
174×	`associate-r_binary64`
105×	`add-exp-log_binary64`
66×	`div-exp_binary64`
57×	`div-inv_binary64`
35×	`add-cbrt-cube_binary64`
17×	`1-exp_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `rec-exp_binary64`
16×	`associate-/r_binary64` `associate-/l_binary64`
10×	`unswap-sqr_binary64`
6×	`pow1_binary64`
5×	`cbrt-unprod_binary64`
3×	`add-log-exp_binary64` `associate-l_binary64`
2×	`associate-/r/_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `associate-/l/_binary64` `associate-r/_binary64` `inv-pow_binary64` `pow-flip_binary64` `-commutative_binary64`

Counts

3 → 477

Calls

3 calls:

4.0ms	(/.f64 1 (sin.f64 y))
43.0ms	(*.f64 x (/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y))))
11.0ms	(/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y)))

series18.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify96.0ms

Algorithm

egg-herbie

Counts

486 → 486

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5162	5664

prune307.0ms

Filtered

256 candidates to 486 candidates (-89.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	486	0	486
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	486	5	491

Merged error: 0b

Counts

491 → 5

regimes79.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	6
1	5	6

end0.0ms

sample908.0ms

Algorithm

intervals

Results

250.0ms	931×	body	1280	valid
214.0ms	5224×	body	80	valid
181.0ms	985×	body	640	valid
74.0ms	569×	body	320	valid
30.0ms	291×	body	160	valid

Details

analyze79.0ms

sample38.0ms

simplify6.0ms

prune2.0ms

localize5.0ms

rewrite12.0ms

series15.0ms

simplify52.0ms

prune86.0ms

localize7.0ms

rewrite33.0ms

series23.0ms

simplify68.0ms

prune130.0ms

localize5.0ms

rewrite13.0ms

series18.0ms

simplify56.0ms

prune80.0ms

localize7.0ms

rewrite94.0ms

series18.0ms

simplify96.0ms

prune307.0ms

regimes79.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample908.0ms

Profiling