Details

analyze234.0ms (3.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	18
1	29	18
0	2	2
1	2	2

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
50%	50%	0.1%	5
56.2%	43.7%	0.1%	6
74.9%	25%	0.1%	7
76.5%	23.4%	0.1%	8
84.3%	15.6%	0.1%	9
86.2%	13.7%	0.1%	10
91.3%	8.6%	0.1%	11
92.6%	7.3%	0.1%	12
95.4%	4.5%	0.1%	13
96.1%	3.8%	0.1%	14

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample94.0ms (1.3%)

Algorithm

1×

intervals

Results

7.0ms	172×	body	128	valid
7.0ms	39×	body	1024	valid
4.0ms	34×	body	512	valid
1.0ms	11×	body	256	valid

Compiler

Compiled 1805 to 2061 computations (-14.2% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	17	9
1	17	9

prune2.0ms (0%)

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

0.1b

Counts

2 → 1

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite71.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

23×	`add-sqr-sqrt_binary64_1805`
19×	`times-frac_binary64_1789`
18×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
13×	`associate-r_binary64_1723`
9×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
4×	`pow1_binary64_1844`
3×	`associate-/l_binary64_1728` `associate-/r_binary64_1727` `associate-l_binary64_1724`
2×	`div-exp_binary64_1834` `add-log-exp_binary64_1822` `cbrt-undiv_binary64_1817` `div-inv_binary64_1780` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `unswap-sqr_binary64_1751`
1×	`frac-2neg_binary64_1794` `clear-num_binary64_1782` `pow-prod-down_binary64_1854` `associate-r/_binary64_1725` `-commutative_binary64_1714`

Counts

2 → 59

Calls

2 calls:

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

Compiler

Compiled 765 to 200 computations (73.9% saved)

series214.0ms (2.9%)

Error

0.0b

Counts

2 → 15

Calls

2 calls:

157.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
46.0ms	(/.f64 (sin.f64 y) y)

Compiler

Compiled 326 to 241 computations (26.1% saved)

simplify75.0ms (1%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5130	902

prune68.0ms (0.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	67	7	74
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	67	8	75

Error

0.0b

Counts

75 → 8

Compiler

Compiled 904 to 277 computations (69.4% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite224.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

156×	`times-frac_binary64_1789`
103×	`add-sqr-sqrt_binary64_1805`
91×	`*-un-lft-identity_binary64_1783`
89×	`add-cube-cbrt_binary64_1818`
44×	`associate-r_binary64_1723`
35×	`add-exp-log_binary64_1821`
19×	`add-cbrt-cube_binary64_1819`
16×	`associate-/r*_binary64_1727`
15×	`div-exp_binary64_1834`
10×	`div-inv_binary64_1780`
7×	`cbrt-undiv_binary64_1817` `prod-exp_binary64_1832`
6×	`pow1_binary64_1844` `associate-/l*_binary64_1728`
5×	`unswap-sqr_binary64_1751`
4×	`1-exp_binary64_1827` `rec-exp_binary64_1833`
3×	`add-log-exp_binary64_1822` `cbrt-unprod_binary64_1816` `associate-l_binary64_1724`
2×	`frac-2neg_binary64_1794` `clear-num_binary64_1782` `associate-/r/_binary64_1729`
1×	`inv-pow_binary64_1868` `pow-flip_binary64_1857` `pow-prod-down_binary64_1854` `un-div-inv_binary64_1781` `associate-r/_binary64_1725` `-commutative_binary64_1714`

Counts

3 → 176

Calls

3 calls:

16.0ms	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
6.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))
3.0ms	(/.f64 y (sin.f64 y))

Compiler

Compiled 3068 to 1321 computations (56.9% saved)

series273.0ms (3.7%)

Error

0.0b

Counts

3 → 21

Calls

3 calls:

152.0ms	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
62.0ms	(/.f64 y (sin.f64 y))
43.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))

Compiler

Compiled 486 to 376 computations (22.6% saved)

simplify98.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

197 → 197

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4955	2813
1	4955	2813

prune165.0ms (2.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	195	2	197
Fresh	2	4	6
Picked	0	1	1
Done	1	0	1
Total	198	7	205

Error

Counts

205 → 7

Compiler

Compiled 2805 to 961 computations (65.7% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.1b	(.f64 x (.f64 (sin.f64 y) (/.f64 1 y)))
0.3b	(*.f64 (sin.f64 y) (/.f64 1 y))

rewrite67.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

26×	`add-exp-log_binary64_1821`
18×	`add-sqr-sqrt_binary64_1805`
16×	`add-cbrt-cube_binary64_1819`
14×	`associate-r_binary64_1723`
13×	`prod-exp_binary64_1832`
12×	`*-un-lft-identity_binary64_1783`
11×	`add-cube-cbrt_binary64_1818` `times-frac_binary64_1789`
9×	`pow1_binary64_1844`
7×	`cbrt-unprod_binary64_1816`
6×	`associate-l_binary64_1724`
4×	`pow-prod-down_binary64_1854` `div-exp_binary64_1834` `associate-*r/_binary64_1725`
3×	`unswap-sqr_binary64_1751`
2×	`1-exp_binary64_1827` `rec-exp_binary64_1833` `add-log-exp_binary64_1822` `cbrt-undiv_binary64_1817` `un-div-inv_binary64_1781` `*-commutative_binary64_1714`
1×	`div-inv_binary64_1780`

Counts

2 → 60

Calls

2 calls:

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

Compiler

Compiled 871 to 471 computations (45.9% saved)

series199.0ms (2.7%)

Error

Counts

2 → 15

Calls

2 calls:

145.0ms	(.f64 x (.f64 (sin.f64 y) (/.f64 1 y)))
45.0ms	(*.f64 (sin.f64 y) (/.f64 1 y))

Compiler

Compiled 326 to 241 computations (26.1% saved)

simplify85.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4952	783
1	4952	783

prune53.0ms (0.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	75	7	82

Error

Counts

82 → 7

Compiler

Compiled 836 to 326 computations (61% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (cbrt.f64 (/.f64 y (sin.f64 y))))
0.3b	(cbrt.f64 (/.f64 y (sin.f64 y)))
0.3b	(cbrt.f64 (/.f64 y (sin.f64 y)))
0.3b	(cbrt.f64 (/.f64 y (sin.f64 y)))

rewrite237.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

103×	`cbrt-prod_binary64_1814`
81×	`add-sqr-sqrt_binary64_1805`
69×	`times-frac_binary64_1789`
57×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
16×	`swap-sqr_binary64_1750` `associate-l_binary64_1724` `associate-r_binary64_1723`
11×	`pow1_binary64_1844`
9×	`pow1/3_binary64_1865` `unswap-sqr_binary64_1751`
7×	`cbrt-div_binary64_1815` `div-inv_binary64_1780`
6×	`add-exp-log_binary64_1821`
4×	`add-log-exp_binary64_1822` `add-cbrt-cube_binary64_1819`
2×	`pow-prod-down_binary64_1854` `pow-prod-up_binary64_1853` `pow-sqr_binary64_1756`
1×	`pow2_binary64_1864` `pow-plus_binary64_1846` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `frac-times_binary64_1793` `associate-l/_binary64_1726` `associate-r/_binary64_1725` `*-commutative_binary64_1714`

Counts

4 → 144

Calls

4 calls:

18.0ms	(*.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)))
3.0ms	(cbrt.f64 (/.f64 y (sin.f64 y)))

Compiler

Compiled 4640 to 1307 computations (71.8% saved)

series918.0ms (12.6%)

Error

Counts

4 → 24

Calls

4 calls:

281.0ms	(*.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (cbrt.f64 (/.f64 y (sin.f64 y))))
206.0ms	(cbrt.f64 (/.f64 y (sin.f64 y)))
201.0ms	(cbrt.f64 (/.f64 y (sin.f64 y)))
193.0ms	(cbrt.f64 (/.f64 y (sin.f64 y)))

Compiler

Compiled 1622 to 1116 computations (31.2% saved)

simplify81.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5184	3119

prune244.0ms (3.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	168	0	168
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	168	7	175

Error

Counts

175 → 7

Compiler

Compiled 4899 to 1664 computations (66% saved)

regimes291.0ms (4%)

Accuracy

Total 0.1b remaining (98.1%)

Threshold costs 0.1b (98.1%)

Compiler

Compiled 2448 to 1598 computations (34.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	9
1	7	9

end0.0ms (0%)

sample3.6s (48.8%)

Algorithm

1×

intervals

Results

238.0ms	5424×	body	128	valid
215.0ms	1240×	body	1024	valid
117.0ms	864×	body	512	valid
41.0ms	466×	body	256	valid
2.0ms	6×	body	2048	valid

Compiler

Compiled 56619 to 64406 computations (-13.8% saved)

Details

analyze234.0ms (3.2%)

sample94.0ms (1.3%)

simplify7.0ms (0.1%)

prune2.0ms (0%)

localize11.0ms (0.1%)

rewrite71.0ms (1%)

series214.0ms (2.9%)

simplify75.0ms (1%)

prune68.0ms (0.9%)

localize6.0ms (0.1%)

rewrite224.0ms (3.1%)

series273.0ms (3.7%)

simplify98.0ms (1.3%)

prune165.0ms (2.3%)

localize6.0ms (0.1%)

rewrite67.0ms (0.9%)

series199.0ms (2.7%)

simplify85.0ms (1.2%)

prune53.0ms (0.7%)

localize13.0ms (0.2%)

rewrite237.0ms (3.3%)

series918.0ms (12.6%)

simplify81.0ms (1.1%)

prune244.0ms (3.3%)

regimes291.0ms (4%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.6s (48.8%)

Profiling