Details

analyze89.0ms

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

sample26.0ms

Algorithm

intervals

Results

8.0ms	38×	body	1024	valid
7.0ms	184×	body	128	valid
3.0ms	22×	body	512	valid
1.0ms	12×	body	256	valid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	17	9
1	17	9

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: 0.1b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

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)

series131.0ms

Counts

2 → 6

Calls

2 calls:

89.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
42.0ms	(/.f64 (sin.f64 y) y)

simplify82.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4977	782
1	4977	782

prune45.0ms

Filtered

50 candidates to 65 candidates (-30.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	59	6	65
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	59	7	66

Merged error: 0b

Counts

66 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(*.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)))

rewrite44.0ms

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`
27×	`add-exp-log_binary64`
19×	`add-cbrt-cube_binary64`
16×	`associate-/r*_binary64`
10×	`div-inv_binary64`
9×	`div-exp_binary64`
7×	`cbrt-undiv_binary64`
6×	`pow1_binary64` `associate-/l*_binary64`
5×	`unswap-sqr_binary64` `prod-exp_binary64`
4×	`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 → 172

Calls

3 calls:

17.0ms	(*.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)))

series184.0ms

Counts

3 → 9

Calls

3 calls:

96.0ms	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
51.0ms	(/.f64 y (sin.f64 y))
37.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))

simplify94.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4990	2616
1	4990	2616

prune98.0ms

Filtered

123 candidates to 181 candidates (-47.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	178	3	181
Fresh	3	2	5
Picked	1	0	1
Done	0	1	1
Total	182	6	188

Merged error: 0b

Counts

188 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

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))

series148.0ms

Counts

2 → 6

Calls

2 calls:

84.0ms	(/.f64 x (/.f64 y (sin.f64 y)))
65.0ms	(/.f64 y (sin.f64 y))

simplify95.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	5879	1780

prune58.0ms

Filtered

82 candidates to 103 candidates (-25.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	104	5	109

Merged error: 0b

Counts

109 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64`
25×	`add-exp-log_binary64`
23×	`times-frac_binary64`
22×	`*-un-lft-identity_binary64`
21×	`add-cube-cbrt_binary64`
19×	`add-cbrt-cube_binary64`
13×	`associate-r_binary64`
7×	`div-exp_binary64`
6×	`pow1_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `associate-/l*_binary64`
4×	`associate-/r*_binary64` `cbrt-unprod_binary64`
3×	`add-log-exp_binary64` `associate-l_binary64` `unswap-sqr_binary64` `rec-exp_binary64` `div-inv_binary64`
2×	`associate-*r/_binary64` `associate-/r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `un-div-inv_binary64`
1×	`pow-prod-down_binary64` `inv-pow_binary64` `pow-flip_binary64` `*-commutative_binary64`

Counts

3 → 91

Calls

3 calls:

4.0ms	(/.f64 1 (sin.f64 y))
7.0ms	(/.f64 x (*.f64 y (/.f64 1 (sin.f64 y))))
8.0ms	(*.f64 y (/.f64 1 (sin.f64 y)))

series183.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/.f64 1 (sin.f64 y))
93.0ms	(/.f64 x (*.f64 y (/.f64 1 (sin.f64 y))))
55.0ms	(*.f64 y (/.f64 1 (sin.f64 y)))

simplify74.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4905	1024
1	4905	1024

prune41.0ms

Filtered

60 candidates to 100 candidates (-66.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	100	5	105

Merged error: 0b

Counts

105 → 5

regimes46.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	7	9

end0.0ms

sample833.0ms

Algorithm

intervals

Results

284.0ms	1314×	body	1024	valid
234.0ms	5370×	body	128	valid
115.0ms	832×	body	512	valid
43.0ms	484×	body	256	valid

Details

analyze89.0ms

sample26.0ms

simplify14.0ms

prune1.0ms

localize6.0ms

rewrite15.0ms

series131.0ms

simplify82.0ms

prune45.0ms

localize8.0ms

rewrite44.0ms

series184.0ms

simplify94.0ms

prune98.0ms

localize6.0ms

rewrite18.0ms

series148.0ms

simplify95.0ms

prune58.0ms

localize7.0ms

rewrite25.0ms

series183.0ms

simplify74.0ms

prune41.0ms

regimes46.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample833.0ms

Profiling