Details

analyze330.0ms (5.7%)

Algorithm

1×

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample58.0ms (1%)

Algorithm

1×

intervals

Results

17.0ms	75×	body	1024	valid
11.0ms	57×	body	1024	invalid
7.0ms	140×	body	128	valid
4.0ms	32×	body	512	invalid
3.0ms	23×	body	512	valid
2.0ms	18×	body	256	valid
1.0ms	14×	body	256	invalid
1.0ms	12×	body	128	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify199.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (111.0ms)

Iter	Nodes	Cost
0	4950	11
1	4950	11

prune7.0ms (0.1%)

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

Error

0.4b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite15.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_12376`
19×	`times-frac_binary64_12360`
18×	`*-un-lft-identity_binary64_12354` `add-cube-cbrt_binary64_12389`
13×	`associate-r_binary64_12294`
9×	`add-cbrt-cube_binary64_12390` `add-exp-log_binary64_12392`
4×	`pow1_binary64_12415`
3×	`associate-/r_binary64_12298` `associate-/l_binary64_12299` `associate-l_binary64_12295`
2×	`cbrt-unprod_binary64_12387` `div-inv_binary64_12351` `cosh-def_binary64_12540` `cbrt-undiv_binary64_12388` `add-log-exp_binary64_12393` `prod-exp_binary64_12403` `unswap-sqr_binary64_12322` `div-exp_binary64_12405`
1×	`pow-prod-down_binary64_12425` `clear-num_binary64_12353` `frac-times_binary64_12364` `frac-2neg_binary64_12365` `associate-l/_binary64_12297` `associate-r/_binary64_12296` `*-commutative_binary64_12285`

Counts

2 → 61

Calls

2 calls:

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

series104.0ms (1.8%)

Counts

2 → 6

Calls

2 calls:

83.0ms	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
21.0ms	(/.f64 (sin.f64 y) y)

simplify78.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4966	917
1	4966	917

prune57.0ms (1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	60	7	67
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	60	8	68

Error

0.3b

Counts

68 → 8

Compiler

Compiled 945 to 260 computations (72.5% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite41.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

156×	`times-frac_binary64_12360`
103×	`add-sqr-sqrt_binary64_12376`
91×	`*-un-lft-identity_binary64_12354`
89×	`add-cube-cbrt_binary64_12389`
44×	`associate-r_binary64_12294`
35×	`add-exp-log_binary64_12392`
19×	`add-cbrt-cube_binary64_12390`
16×	`associate-/r*_binary64_12298`
15×	`div-exp_binary64_12405`
10×	`div-inv_binary64_12351`
7×	`cbrt-undiv_binary64_12388` `prod-exp_binary64_12403`
6×	`associate-/l*_binary64_12299` `pow1_binary64_12415`
5×	`unswap-sqr_binary64_12322`
4×	`rec-exp_binary64_12404` `1-exp_binary64_12398`
3×	`cbrt-unprod_binary64_12387` `add-log-exp_binary64_12393` `associate-l_binary64_12295`
2×	`clear-num_binary64_12353` `frac-2neg_binary64_12365` `cosh-def_binary64_12540` `associate-/r/_binary64_12300`
1×	`pow-prod-down_binary64_12425` `frac-times_binary64_12364` `un-div-inv_binary64_12352` `inv-pow_binary64_12439` `pow-flip_binary64_12428` `associate-l/_binary64_12297` `associate-r/_binary64_12296` `*-commutative_binary64_12285`

Counts

3 → 178

Calls

3 calls:

16.0ms	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
6.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))
4.0ms	(/.f64 y (sin.f64 y))

series138.0ms (2.4%)

Counts

3 → 9

Calls

3 calls:

81.0ms	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
33.0ms	(/.f64 y (sin.f64 y))
23.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))

simplify87.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

187 → 187

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4972	2855
1	4972	2855

prune132.0ms (2.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	184	3	187
Fresh	2	4	6
Picked	0	1	1
Done	1	0	1
Total	187	8	195

Error

0.3b

Counts

195 → 8

Compiler

Compiled 2949 to 927 computations (68.6% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite133.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Rules

854×	`times-frac_binary64_12360`
426×	`add-sqr-sqrt_binary64_12376`
397×	`*-un-lft-identity_binary64_12354`
391×	`add-cube-cbrt_binary64_12389`
174×	`associate-r_binary64_12294`
105×	`add-exp-log_binary64_12392`
66×	`div-exp_binary64_12405`
57×	`div-inv_binary64_12351`
35×	`add-cbrt-cube_binary64_12390`
17×	`rec-exp_binary64_12404` `cbrt-undiv_binary64_12388` `1-exp_binary64_12398` `prod-exp_binary64_12403`
16×	`associate-/r_binary64_12298` `associate-/l_binary64_12299`
10×	`unswap-sqr_binary64_12322`
6×	`pow1_binary64_12415`
5×	`cbrt-unprod_binary64_12387`
3×	`add-log-exp_binary64_12393` `associate-l_binary64_12295`
2×	`clear-num_binary64_12353` `frac-2neg_binary64_12365` `cosh-def_binary64_12540` `associate-/r/_binary64_12300`
1×	`pow-prod-down_binary64_12425` `frac-times_binary64_12364` `inv-pow_binary64_12439` `associate-/l/_binary64_12301` `pow-flip_binary64_12428` `associate-l/_binary64_12297` `associate-r/_binary64_12296` `*-commutative_binary64_12285`

Counts

3 → 479

Calls

3 calls:

51.0ms	(*.f64 (cosh.f64 x) (/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y))))
12.0ms	(/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y)))
3.0ms	(/.f64 1 (sin.f64 y))

series127.0ms (2.2%)

Counts

3 → 9

Calls

3 calls:

88.0ms	(*.f64 (cosh.f64 x) (/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y))))
20.0ms	(/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y)))
18.0ms	(/.f64 1 (sin.f64 y))

simplify168.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

488 → 488

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4972	9670
1	4972	9670

prune489.0ms (8.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	487	1	488
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	488	8	496

Error

0.3b

Counts

496 → 8

Compiler

Compiled 9453 to 4344 computations (54% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite47.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

90×	`cbrt-prod_binary64_12385`
76×	`add-sqr-sqrt_binary64_12376`
63×	`times-frac_binary64_12360`
52×	`*-un-lft-identity_binary64_12354` `add-cube-cbrt_binary64_12389`
16×	`associate-l_binary64_12295` `associate-r_binary64_12294` `swap-sqr_binary64_12321`
11×	`pow1_binary64_12415` `add-exp-log_binary64_12392`
10×	`cbrt-div_binary64_12386`
9×	`unswap-sqr_binary64_12322`
8×	`pow1/3_binary64_12436`
7×	`div-inv_binary64_12351` `add-cbrt-cube_binary64_12390`
4×	`add-log-exp_binary64_12393`
3×	`associate-/l*_binary64_12299` `associate-/r/_binary64_12300`
2×	`pow-prod-down_binary64_12425` `frac-times_binary64_12364` `cbrt-unprod_binary64_12387` `pow-prod-up_binary64_12424` `cbrt-undiv_binary64_12388` `associate-l/_binary64_12297` `prod-exp_binary64_12403` `associate-r/_binary64_12296` `pow-sqr_binary64_12327` `div-exp_binary64_12405`
1×	`clear-num_binary64_12353` `associate-/r_binary64_12298` `frac-2neg_binary64_12365` `cosh-def_binary64_12540` `associate-/l/_binary64_12301` `pow2_binary64_12435` `-commutative_binary64_12285` `pow-plus_binary64_12417`

Counts

4 → 147

Calls

4 calls:

16.0ms	(*.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (cbrt.f64 (/.f64 y (sin.f64 y))))
10.0ms	(/.f64 (cosh.f64 x) (*.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (cbrt.f64 (/.f64 y (sin.f64 y)))))
3.0ms	(cbrt.f64 (/.f64 y (sin.f64 y)))
3.0ms	(cbrt.f64 (/.f64 y (sin.f64 y)))

series607.0ms (10.4%)

Counts

4 → 12

Calls

4 calls:

190.0ms	(/.f64 (cosh.f64 x) (*.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (cbrt.f64 (/.f64 y (sin.f64 y)))))
180.0ms	(*.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (cbrt.f64 (/.f64 y (sin.f64 y))))
122.0ms	(cbrt.f64 (/.f64 y (sin.f64 y)))
116.0ms	(cbrt.f64 (/.f64 y (sin.f64 y)))

simplify104.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4937	3103
1	4937	3103

prune157.0ms (2.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	158	1	159
Fresh	0	5	5
Picked	1	0	1
Done	0	2	2
Total	159	8	167

Error

0.3b

Counts

167 → 8

Compiler

Compiled 4382 to 1179 computations (73.1% saved)

regimes305.0ms (5.2%)

Accuracy

Total 0.1b remaining (80.1%)

Threshold costs 0.1b (80.1%)

Compiler

Compiled 3480 to 2269 computations (34.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	11
1	8	11

end0.0ms (0%)

sample2.4s (41.5%)

Algorithm

1×

intervals

Results

439.0ms	1973×	body	1024	valid
366.0ms	1859×	body	1024	invalid
248.0ms	4458×	body	128	valid
151.0ms	1034×	body	512	valid
145.0ms	966×	body	512	invalid
52.0ms	529×	body	256	valid
46.0ms	462×	body	256	invalid
40.0ms	688×	body	128	invalid
3.0ms	6×	body	2048	valid

Compiler

Compiled 712 to 468 computations (34.3% saved)

Details

analyze330.0ms (5.7%)

sample58.0ms (1%)

simplify199.0ms (3.4%)

prune7.0ms (0.1%)

localize6.0ms (0.1%)

rewrite15.0ms (0.3%)

series104.0ms (1.8%)

simplify78.0ms (1.3%)

prune57.0ms (1%)

localize9.0ms (0.2%)

rewrite41.0ms (0.7%)

series138.0ms (2.4%)

simplify87.0ms (1.5%)

prune132.0ms (2.3%)

localize8.0ms (0.1%)

rewrite133.0ms (2.3%)

series127.0ms (2.2%)

simplify168.0ms (2.9%)

prune489.0ms (8.4%)

localize11.0ms (0.2%)

rewrite47.0ms (0.8%)

series607.0ms (10.4%)

simplify104.0ms (1.8%)

prune157.0ms (2.7%)

regimes305.0ms (5.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.4s (41.5%)

Profiling