Details

analyze349.0ms

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

sample73.0ms

Algorithm

intervals

Results

17.0ms	44×	body	1280	valid
9.0ms	31×	body	1280	invalid
8.0ms	40×	body	640	valid
7.0ms	135×	body	80	valid
7.0ms	24×	body	320	valid
6.0ms	30×	body	640	invalid
4.0ms	30×	body	320	invalid
1.0ms	19×	body	80	invalid
1.0ms	13×	body	160	valid
1.0ms	11×	body	160	invalid

simplify84.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (81.0ms)

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 2 expressions with local error:

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

rewrite14.0ms

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` `cosh-def_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

2 → 61

Calls

2 calls:

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

series23.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
4.0ms	(/.f64 (sin.f64 y) y)

simplify56.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5777	568

prune43.0ms

Filtered

53 candidates to 67 candidates (-26.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	61	6	67
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	61	7	68

Merged error: 0.0b

Counts

68 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

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)))

rewrite39.0ms

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` `cosh-def_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

3 → 178

Calls

3 calls:

17.0ms	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
4.0ms	(/.f64 y (sin.f64 y))
9.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))

series31.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
7.0ms	(/.f64 y (sin.f64 y))
5.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))

simplify75.0ms

Algorithm

egg-herbie

Counts

187 → 187

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4952	1761
1	4952	1761

prune79.0ms

Filtered

123 candidates to 187 candidates (-52.0%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	185	2	187
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	186	8	194

Merged error: 0b

Counts

194 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y)))
0.4b	(cbrt.f64 (/.f64 (sin.f64 y) y))
0.4b	(cbrt.f64 (/.f64 (sin.f64 y) y))
0.4b	(cbrt.f64 (/.f64 (sin.f64 y) y))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod_binary64`
81×	`add-sqr-sqrt_binary64`
69×	`times-frac_binary64`
57×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
16×	`swap-sqr_binary64` `associate-r_binary64` `associate-l_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64` `unswap-sqr_binary64`
7×	`cbrt-div_binary64` `div-inv_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `associate-r/_binary64` `pow-plus_binary64` `prod-exp_binary64` `frac-times_binary64` `pow2_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 144

Calls

4 calls:

13.0ms	(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y)))
3.0ms	(cbrt.f64 (/.f64 (sin.f64 y) y))
3.0ms	(cbrt.f64 (/.f64 (sin.f64 y) y))
3.0ms	(cbrt.f64 (/.f64 (sin.f64 y) y))

series94.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y)))
21.0ms	(cbrt.f64 (/.f64 (sin.f64 y) y))
21.0ms	(cbrt.f64 (/.f64 (sin.f64 y) y))
21.0ms	(cbrt.f64 (/.f64 (sin.f64 y) y))

simplify65.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4980	1667
1	4980	1667

prune74.0ms

Filtered

123 candidates to 156 candidates (-26.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	156	8	164

Merged error: 0b

Counts

164 → 8

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 y)
0.6b	(cbrt.f64 (sin.f64 y))
0.6b	(cbrt.f64 (sin.f64 y))
0.6b	(cbrt.f64 (sin.f64 y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`

Counts

4 → 44

Calls

4 calls:

2.0ms	(cbrt.f64 y)
2.0ms	(cbrt.f64 (sin.f64 y))
2.0ms	(cbrt.f64 (sin.f64 y))
4.0ms	(cbrt.f64 (sin.f64 y))

series63.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(cbrt.f64 y)
15.0ms	(cbrt.f64 (sin.f64 y))
15.0ms	(cbrt.f64 (sin.f64 y))
16.0ms	(cbrt.f64 (sin.f64 y))

simplify50.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4998	278
1	4998	278

prune38.0ms

Filtered

45 candidates to 56 candidates (-24.4%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	56	8	64

Merged error: 0b

Counts

64 → 8

regimes165.0ms

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	7	7
1	7	7

end0.0ms

sample2.3s

Algorithm

intervals

Results

546.0ms	1492×	body	1280	valid
441.0ms	1438×	body	1280	invalid
263.0ms	1262×	body	640	valid
262.0ms	1233×	body	640	invalid
222.0ms	4321×	body	80	valid
89.0ms	626×	body	320	valid
88.0ms	609×	body	320	invalid
33.0ms	523×	body	80	invalid
30.0ms	299×	body	160	valid
30.0ms	303×	body	160	invalid

Details

analyze349.0ms

sample73.0ms

simplify84.0ms

prune2.0ms

localize6.0ms

rewrite14.0ms

series23.0ms

simplify56.0ms

prune43.0ms

localize8.0ms

rewrite39.0ms

series31.0ms

simplify75.0ms

prune79.0ms

localize10.0ms

rewrite32.0ms

series94.0ms

simplify65.0ms

prune74.0ms

localize19.0ms

rewrite10.0ms

series63.0ms

simplify50.0ms

prune38.0ms

regimes165.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.3s

Profiling