Details

analyze345.0ms

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

sample84.0ms

Algorithm

intervals

Results

21.0ms	66×	body	1280	invalid
19.0ms	53×	body	1280	valid
8.0ms	39×	body	640	invalid
7.0ms	142×	body	80	valid
7.0ms	35×	body	640	valid
5.0ms	18×	body	320	invalid
3.0ms	19×	body	320	valid
1.0ms	8×	body	160	invalid
1.0ms	14×	body	80	invalid
1.0ms	7×	body	160	valid

simplify81.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4988	7
1	4988	7

prune3.0ms

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

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64`
19×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `times-frac_binary64`
13×	`associate-r_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`pow1_binary64`
3×	`associate-/r_binary64` `add-log-exp_binary64` `associate-l_binary64` `associate-/l_binary64` `cosh-def_binary64`
2×	`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` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

3 → 69

Calls

3 calls:

7.0ms	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
1.0ms	(cosh.f64 x)
4.0ms	(/.f64 (sin.f64 y) y)

series29.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
6.0ms	(cosh.f64 x)
4.0ms	(/.f64 (sin.f64 y) y)

simplify59.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4945	629
1	4945	629

prune85.0ms

Filtered

63 candidates to 78 candidates (-23.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	71	7	78
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	71	8	79

Merged error: 0.0b

Counts

79 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac_binary64`
104×	`add-sqr-sqrt_binary64`
92×	`*-un-lft-identity_binary64`
90×	`add-cube-cbrt_binary64`
44×	`associate-r_binary64`
36×	`add-exp-log_binary64`
20×	`add-cbrt-cube_binary64`
16×	`associate-/r*_binary64`
15×	`div-exp_binary64`
10×	`div-inv_binary64`
7×	`pow1_binary64` `cbrt-undiv_binary64` `prod-exp_binary64`
6×	`associate-/l*_binary64`
5×	`unswap-sqr_binary64`
4×	`add-log-exp_binary64` `1-exp_binary64` `rec-exp_binary64`
3×	`cbrt-unprod_binary64` `associate-l_binary64` `cosh-def_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` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 186

Calls

4 calls:

17.0ms	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
1.0ms	(cosh.f64 x)
7.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))
4.0ms	(/.f64 y (sin.f64 y))

series36.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
6.0ms	(cosh.f64 x)
4.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))
6.0ms	(/.f64 y (sin.f64 y))

simplify53.0ms

Algorithm

egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4948	1810
1	4948	1810

prune154.0ms

Filtered

131 candidates to 198 candidates (-51.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	193	5	198
Fresh	4	2	6
Picked	1	0	1
Done	0	1	1
Total	198	8	206

Merged error: 0b

Counts

206 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

104×	`add-exp-log_binary64`
44×	`prod-exp_binary64`
36×	`div-exp_binary64`
34×	`add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
26×	`*-un-lft-identity_binary64` `times-frac_binary64`
25×	`add-cube-cbrt_binary64`
22×	`associate-r_binary64`
18×	`1-exp_binary64` `rec-exp_binary64`
12×	`pow1_binary64`
10×	`cbrt-unprod_binary64` `cbrt-undiv_binary64`
6×	`associate-l_binary64` `associate-/l*_binary64`
4×	`associate-/r_binary64` `add-log-exp_binary64` `associate-r/_binary64` `associate-/r/_binary64` `unswap-sqr_binary64` `un-div-inv_binary64` `div-inv_binary64`
3×	`pow-prod-down_binary64` `pow-flip_binary64`
2×	`clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `cosh-def_binary64` `*-commutative_binary64`
1×	`frac-times_binary64` `associate-*l/_binary64`

Counts

4 → 153

Calls

4 calls:

12.0ms	(.f64 (cosh.f64 x) (/.f64 1 (.f64 y (/.f64 1 (sin.f64 y)))))
4.0ms	(/.f64 1 (sin.f64 y))
7.0ms	(/.f64 1 (*.f64 y (/.f64 1 (sin.f64 y))))
8.0ms	(*.f64 y (/.f64 1 (sin.f64 y)))

series36.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(.f64 (cosh.f64 x) (/.f64 1 (.f64 y (/.f64 1 (sin.f64 y)))))
4.0ms	(/.f64 1 (sin.f64 y))
4.0ms	(/.f64 1 (*.f64 y (/.f64 1 (sin.f64 y))))
9.0ms	(*.f64 y (/.f64 1 (sin.f64 y)))

simplify64.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4936	1056
1	4936	1056

prune102.0ms

Filtered

83 candidates to 165 candidates (-98.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	165	0	165
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	165	8	173

Merged error: 0b

Counts

173 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (cosh.f64 x) y)
0.0b	(cosh.f64 x)
0.5b	(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64`
19×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `times-frac_binary64`
13×	`associate-l_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`pow1_binary64`
3×	`associate-/r_binary64` `add-log-exp_binary64` `associate-r_binary64` `associate-/l_binary64`
2×	`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-/l/_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

3 → 68

Calls

3 calls:

4.0ms	(/.f64 (cosh.f64 x) y)
1.0ms	(cosh.f64 x)
7.0ms	(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))

series37.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(/.f64 (cosh.f64 x) y)
6.0ms	(cosh.f64 x)
18.0ms	(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))

simplify52.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5101	620

prune58.0ms

Filtered

60 candidates to 77 candidates (-28.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	76	1	77
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	77	8	85

Merged error: 0b

Counts

85 → 8

regimes244.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7

end0.0ms

sample2.2s

Algorithm

intervals

Results

553.0ms	1541×	body	1280	valid
440.0ms	1470×	body	1280	invalid
254.0ms	1241×	body	640	valid
243.0ms	1221×	body	640	invalid
217.0ms	4281×	body	80	valid
92.0ms	636×	body	320	valid
85.0ms	582×	body	320	invalid
35.0ms	289×	body	160	invalid
29.0ms	301×	body	160	valid
25.0ms	458×	body	80	invalid

Details

analyze345.0ms

sample84.0ms

simplify81.0ms

prune3.0ms

localize7.0ms

rewrite15.0ms

series29.0ms

simplify59.0ms

prune85.0ms

localize8.0ms

rewrite40.0ms

series36.0ms

simplify53.0ms

prune154.0ms

localize9.0ms

rewrite37.0ms

series36.0ms

simplify64.0ms

prune102.0ms

localize7.0ms

rewrite14.0ms

series37.0ms

simplify52.0ms

prune58.0ms

regimes244.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.2s

Profiling