Details

analyze357.0ms

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

sample77.0ms

Algorithm

intervals

Results

19.0ms	51×	body	1280	valid
17.0ms	44×	body	1280	invalid
8.0ms	36×	body	640	valid
8.0ms	143×	body	80	valid
6.0ms	30×	body	640	invalid
4.0ms	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

simplify153.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (144.0ms)

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)

series103.0ms

Counts

2 → 6

Calls

2 calls:

83.0ms	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
19.0ms	(/.f64 (sin.f64 y) y)

simplify95.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (77.0ms)

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)))

rewrite34.0ms

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:

16.0ms	(*.f64 (cosh.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)))

series140.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
33.0ms	(/.f64 y (sin.f64 y))
22.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))

simplify108.0ms

Algorithm

egg-herbie

Counts

187 → 187

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4952	2855
1	4952	2855

prune103.0ms

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

localize9.0ms

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)))

rewrite170.0ms

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:

76.0ms	(*.f64 (cosh.f64 x) (/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y))))
6.0ms	(/.f64 1 (sin.f64 y))
19.0ms	(/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y)))

series125.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(*.f64 (cosh.f64 x) (/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y))))
18.0ms	(/.f64 1 (sin.f64 y))
33.0ms	(/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y)))

simplify189.0ms

Algorithm

egg-herbie

Counts

488 → 488

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	4939	9670
1	4939	9670

prune290.0ms

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

localize8.0ms

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))

rewrite17.0ms

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:

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

series102.0ms

Counts

2 → 6

Calls

2 calls:

82.0ms	(.f64 (cosh.f64 x) (.f64 (sin.f64 y) (/.f64 1 y)))
19.0ms	(*.f64 (sin.f64 y) (/.f64 1 y))

simplify73.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4997	777
1	4997	777

prune31.0ms

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

regimes130.0ms

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

sample2.5s

Algorithm

intervals

Results

567.0ms	1491×	body	1280	valid
501.0ms	1502×	body	1280	invalid
281.0ms	1293×	body	640	invalid
279.0ms	1263×	body	640	valid
237.0ms	4307×	body	80	valid
99.0ms	616×	body	320	valid
94.0ms	609×	body	320	invalid
37.0ms	331×	body	160	invalid
35.0ms	323×	body	160	valid
34.0ms	546×	body	80	invalid

Details

analyze357.0ms

sample77.0ms

simplify153.0ms

prune1.0ms

localize6.0ms

rewrite13.0ms

series103.0ms

simplify95.0ms

prune50.0ms

localize8.0ms

rewrite34.0ms

series140.0ms

simplify108.0ms

prune103.0ms

localize9.0ms

rewrite170.0ms

series125.0ms

simplify189.0ms

prune290.0ms

localize8.0ms

rewrite17.0ms

series102.0ms

simplify73.0ms

prune31.0ms

regimes130.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample2.5s

Profiling