Details

analyze339.0ms

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

sample69.0ms

Algorithm

intervals

Results

18.0ms	51×	body	1280	valid
13.0ms	44×	body	1280	invalid
7.0ms	36×	body	640	valid
7.0ms	143×	body	80	valid
6.0ms	30×	body	640	invalid
3.0ms	25×	body	320	invalid
2.0ms	15×	body	320	valid
1.0ms	11×	body	160	valid
1.0ms	16×	body	80	invalid
1.0ms	8×	body	160	invalid

simplify148.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (139.0ms)

Iter	Nodes	Cost
0	4951	11
1	4951	11

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:

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

rewrite13.0ms

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)

series100.0ms

Counts

2 → 6

Calls

2 calls:

76.0ms	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
24.0ms	(/.f64 (sin.f64 y) y)

simplify92.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4979	917
1	4979	917

prune50.0ms

Filtered

53 candidates to 67 candidates (-26.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	59	8	67
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	59	9	68

Merged error: 0.0b

Counts

68 → 9

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

rewrite36.0ms

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:

18.0ms	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
3.0ms	(/.f64 y (sin.f64 y))
6.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))

series132.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
34.0ms	(/.f64 y (sin.f64 y))
23.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))

simplify107.0ms

Algorithm

egg-herbie

Counts

187 → 187

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4952	2855
1	4952	2855

prune107.0ms

Filtered

122 candidates to 187 candidates (-53.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	184	3	187
Fresh	2	5	7
Picked	1	0	1
Done	0	1	1
Total	187	9	196

Merged error: 0.0b

Counts

196 → 9

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (cosh.f64 x) (/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y))))
0.1b	(/.f64 1 (sin.f64 y))
0.2b	(/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y)))

rewrite99.0ms

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` `cosh-def_binary64`
1×	`pow-prod-down_binary64` `associate-/l/_binary64` `associate-r/_binary64` `inv-pow_binary64` `pow-flip_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

3 → 479

Calls

3 calls:

49.0ms	(*.f64 (cosh.f64 x) (/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y))))
4.0ms	(/.f64 1 (sin.f64 y))
12.0ms	(/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y)))

series121.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(*.f64 (cosh.f64 x) (/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y))))
19.0ms	(/.f64 1 (sin.f64 y))
23.0ms	(/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y)))

simplify187.0ms

Algorithm

egg-herbie

Counts

488 → 488

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4939	9670
1	4939	9670

prune293.0ms

Filtered

257 candidates to 488 candidates (-89.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	487	1	488
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	488	9	497

Merged error: 0.0b

Counts

497 → 9

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(.f64 (cosh.f64 x) (.f64 (sin.f64 y) (/.f64 1 y)))
0.2b	(*.f64 (sin.f64 y) (/.f64 1 y))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log_binary64`
18×	`add-sqr-sqrt_binary64`
16×	`add-cbrt-cube_binary64`
14×	`associate-r_binary64`
13×	`prod-exp_binary64`
12×	`*-un-lft-identity_binary64`
11×	`add-cube-cbrt_binary64` `times-frac_binary64`
9×	`pow1_binary64`
7×	`cbrt-unprod_binary64`
6×	`associate-l_binary64`
5×	`associate-*r/_binary64`
4×	`pow-prod-down_binary64` `div-exp_binary64`
3×	`unswap-sqr_binary64` `un-div-inv_binary64` `cosh-def_binary64`
2×	`add-log-exp_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `rec-exp_binary64` `frac-times_binary64` `*-commutative_binary64`
1×	`div-inv_binary64` `associate-*l/_binary64`

Counts

2 → 63

Calls

2 calls:

11.0ms	(.f64 (cosh.f64 x) (.f64 (sin.f64 y) (/.f64 1 y)))
8.0ms	(*.f64 (sin.f64 y) (/.f64 1 y))

series101.0ms

Counts

2 → 6

Calls

2 calls:

78.0ms	(.f64 (cosh.f64 x) (.f64 (sin.f64 y) (/.f64 1 y)))
23.0ms	(*.f64 (sin.f64 y) (/.f64 1 y))

simplify72.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4997	777
1	4997	777

prune29.0ms

Filtered

42 candidates to 69 candidates (-64.3%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	69	9	78

Merged error: 0.0b

Counts

78 → 9

regimes82.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	11
1	8	11

end0.0ms

sample2.3s

Algorithm

intervals

Results

521.0ms	1491×	body	1280	valid
448.0ms	1502×	body	1280	invalid
262.0ms	1263×	body	640	valid
258.0ms	1293×	body	640	invalid
215.0ms	4307×	body	80	valid
89.0ms	616×	body	320	valid
86.0ms	609×	body	320	invalid
32.0ms	331×	body	160	invalid
32.0ms	323×	body	160	valid
31.0ms	546×	body	80	invalid

Details

analyze339.0ms

sample69.0ms

simplify148.0ms

prune1.0ms

localize6.0ms

rewrite13.0ms

series100.0ms

simplify92.0ms

prune50.0ms

localize8.0ms

rewrite36.0ms

series132.0ms

simplify107.0ms

prune107.0ms

localize8.0ms

rewrite99.0ms

series121.0ms

simplify187.0ms

prune293.0ms

localize7.0ms

rewrite22.0ms

series101.0ms

simplify72.0ms

prune29.0ms

regimes82.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample2.3s

Profiling