Details

analyze151.0ms (4.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	12
1	6	12
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
25%	74.9%	0.1%	3
25%	62.4%	12.6%	4
37.5%	43.7%	18.8%	5
37.5%	34.3%	28.2%	6
43.7%	23.4%	32.9%	7
43.7%	18%	38.3%	8
46.8%	12.1%	41.1%	9
46.8%	9.2%	44%	10
48.4%	6.1%	45.5%	11
48.4%	4.6%	47%	12
49.2%	3.1%	47.7%	13
49.2%	2.3%	48.5%	14

Symmetry

(sort x y)

Compiler

Compiled 5 to 5 computations (0% saved)

sample19.0ms (0.6%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	128	valid
0.0ms	9×	body	128	nan

Compiler

Compiled 9 to 11 computations (-22.2% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	6	6
1	6	6

prune2.0ms (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

0.0b

Counts

2 → 1

Compiler

Compiled 8 to 8 computations (0% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(sqrt.f64 (+.f64 x y))

rewrite18.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

4×	`sqrt-prod_binary64_1799` `*-un-lft-identity_binary64_1783`
3×	`add-sqr-sqrt_binary64_1805`
2×	`pow1_binary64_1844` `add-cube-cbrt_binary64_1818` `sqrt-div_binary64_1800`
1×	`pow1/2_binary64_1863` `add-log-exp_binary64_1822` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819` `sqrt-pow1_binary64_1801` `flip3-+_binary64_1786` `flip-+_binary64_1757` `distribute-lft-out_binary64_1734` `rem-sqrt-square_binary64_1796`

Counts

1 → 16

Calls

1 calls:

3.0ms

(sqrt.f64 (+.f64 x y))

Compiler

Compiled 159 to 56 computations (64.8% saved)

series44.0ms (1.4%)

Error

0.0b

Counts

1 → 9

Calls

1 calls:

38.0ms

(sqrt.f64 (+.f64 x y))

Compiler

Compiled 221 to 189 computations (14.5% saved)

simplify76.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4971	241
1	4971	241

prune18.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	23	2	25
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	23	3	26

Error

0.0b

Counts

26 → 3

Compiler

Compiled 220 to 103 computations (53.2% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 1/2 (.f64 x (sqrt.f64 (/.f64 1 y))))
0.0b	(+.f64 (sqrt.f64 y) (.f64 1/2 (.f64 x (sqrt.f64 (/.f64 1 y)))))
0.1b	(sqrt.f64 (/.f64 1 y))
0.2b	(*.f64 x (sqrt.f64 (/.f64 1 y)))

rewrite123.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

34×	`add-sqr-sqrt_binary64_1805`
29×	`sqrt-prod_binary64_1799`
23×	`*-un-lft-identity_binary64_1783`
22×	`times-frac_binary64_1789`
21×	`add-cube-cbrt_binary64_1818`
17×	`associate-r_binary64_1723`
13×	`pow1_binary64_1844`
11×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
6×	`add-log-exp_binary64_1822` `associate-l_binary64_1724`
4×	`pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `unswap-sqr_binary64_1751`
3×	`sqrt-div_binary64_1800` `associate-*r/_binary64_1725` `sqrt-pow1_binary64_1801` `rem-sqrt-square_binary64_1796`
2×	`div-inv_binary64_1780` `*-commutative_binary64_1714`
1×	`pow1/2_binary64_1863` `inv-pow_binary64_1868` `pow-flip_binary64_1857` `sum-log_binary64_1874` `flip3-+_binary64_1786` `flip-+_binary64_1757` `+-commutative_binary64_1713`

Counts

4 → 93

Calls

4 calls:

9.0ms	(*.f64 x (sqrt.f64 (/.f64 1 y)))
8.0ms	(.f64 1/2 (.f64 x (sqrt.f64 (/.f64 1 y))))
4.0ms	(+.f64 (sqrt.f64 y) (.f64 1/2 (.f64 x (sqrt.f64 (/.f64 1 y)))))
3.0ms	(sqrt.f64 (/.f64 1 y))

Compiler

Compiled 1712 to 1170 computations (31.7% saved)

series273.0ms (8.7%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

104.0ms	(+.f64 (sqrt.f64 y) (.f64 1/2 (.f64 x (sqrt.f64 (/.f64 1 y)))))
76.0ms	(.f64 1/2 (.f64 x (sqrt.f64 (/.f64 1 y))))
67.0ms	(*.f64 x (sqrt.f64 (/.f64 1 y)))
12.0ms	(sqrt.f64 (/.f64 1 y))

Compiler

Compiled 740 to 587 computations (20.7% saved)

simplify93.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4853	1400
1	4853	1400

prune100.0ms (3.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	117	3	120

Error

0.0b

Counts

120 → 3

Compiler

Compiled 1720 to 1116 computations (35.1% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (sqrt.f64 (+.f64 y x)))
0.5b	(cbrt.f64 (sqrt.f64 (+.f64 y x)))
0.5b	(cbrt.f64 (sqrt.f64 (+.f64 y x)))
0.5b	(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) (cbrt.f64 (sqrt.f64 (+.f64 y x))))

rewrite137.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

69×	`cbrt-prod_binary64_1814`
44×	`add-sqr-sqrt_binary64_1805`
42×	`*-un-lft-identity_binary64_1783`
40×	`sqrt-prod_binary64_1799`
22×	`add-cube-cbrt_binary64_1818`
18×	`sqrt-div_binary64_1800` `cbrt-div_binary64_1815`
14×	`swap-sqr_binary64_1750`
11×	`pow1_binary64_1844`
10×	`associate-l_binary64_1724` `associate-r_binary64_1723`
9×	`pow1/3_binary64_1865` `flip3-+_binary64_1786` `flip-+_binary64_1757` `unswap-sqr_binary64_1751` `distribute-lft-out_binary64_1734`
6×	`add-exp-log_binary64_1821`
4×	`add-log-exp_binary64_1822` `add-cbrt-cube_binary64_1819` `frac-times_binary64_1793`
2×	`pow-prod-down_binary64_1854` `pow-prod-up_binary64_1853` `pow-sqr_binary64_1756` `associate-l/_binary64_1726` `associate-r/_binary64_1725`
1×	`pow2_binary64_1864` `pow-plus_binary64_1846` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `*-commutative_binary64_1714`

Counts

4 → 120

Calls

4 calls:

16.0ms	(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) (cbrt.f64 (sqrt.f64 (+.f64 y x))))
4.0ms	(cbrt.f64 (sqrt.f64 (+.f64 y x)))
4.0ms	(cbrt.f64 (sqrt.f64 (+.f64 y x)))
4.0ms	(cbrt.f64 (sqrt.f64 (+.f64 y x)))

Compiler

Compiled 3159 to 464 computations (85.3% saved)

series333.0ms (10.6%)

Error

0.0b

Counts

4 → 36

Calls

4 calls:

106.0ms	(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 y x))) (cbrt.f64 (sqrt.f64 (+.f64 y x))))
67.0ms	(cbrt.f64 (sqrt.f64 (+.f64 y x)))
64.0ms	(cbrt.f64 (sqrt.f64 (+.f64 y x)))
63.0ms	(cbrt.f64 (sqrt.f64 (+.f64 y x)))

Compiler

Compiled 2268 to 1524 computations (32.8% saved)

simplify114.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4918	2460
1	4918	2460

prune124.0ms (3.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	155	1	156
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	155	4	159

Error

Counts

159 → 4

Compiler

Compiled 3340 to 670 computations (79.9% saved)

localize18.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (sqrt.f64 (cbrt.f64 (+.f64 y x))))
0.6b	(cbrt.f64 (+.f64 y x))
0.6b	(cbrt.f64 (+.f64 x y))
0.6b	(cbrt.f64 (fabs.f64 (cbrt.f64 (+.f64 x y))))

rewrite80.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`cbrt-prod_binary64_1814`
16×	`*-un-lft-identity_binary64_1783`
10×	`add-cube-cbrt_binary64_1818` `add-sqr-sqrt_binary64_1805`
8×	`cbrt-div_binary64_1815`
7×	`sqrt-prod_binary64_1799`
4×	`pow1/3_binary64_1865` `pow1_binary64_1844` `add-log-exp_binary64_1822` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
3×	`flip3-+_binary64_1786` `flip-+_binary64_1757` `distribute-lft-out_binary64_1734`
2×	`sqrt-div_binary64_1800`

Counts

4 → 59

Calls

4 calls:

5.0ms	(cbrt.f64 (sqrt.f64 (cbrt.f64 (+.f64 y x))))
3.0ms	(cbrt.f64 (+.f64 x y))
3.0ms	(cbrt.f64 (+.f64 y x))
1.0ms	(cbrt.f64 (fabs.f64 (cbrt.f64 (+.f64 x y))))

Compiler

Compiled 1904 to 392 computations (79.4% saved)

series523.0ms (16.6%)

Error

Counts

4 → 34

Calls

4 calls:

217.0ms	(cbrt.f64 (fabs.f64 (cbrt.f64 (+.f64 x y))))
114.0ms	(cbrt.f64 (+.f64 y x))
92.0ms	(cbrt.f64 (+.f64 x y))
60.0ms	(cbrt.f64 (sqrt.f64 (cbrt.f64 (+.f64 y x))))

Compiler

Compiled 3090 to 2007 computations (35% saved)

simplify60.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5071	1232

prune91.0ms (2.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	93	4	97

Error

Counts

97 → 4

Compiler

Compiled 2763 to 560 computations (79.7% saved)

regimes108.0ms (3.4%)

Accuracy

Total 0.0b remaining (70.6%)

Threshold costs 0.0b (70.6%)

Compiler

Compiled 1018 to 594 computations (41.7% saved)

bsearch0.0ms (0%)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	6
1	6	6

Remove

(sort x y)

Compiler

Compiled 8 to 8 computations (0% saved)

end0.0ms (0%)

sample620.0ms (19.7%)

Algorithm

1×

intervals

Results

172.0ms	8000×	body	128	valid
5.0ms	267×	body	128	nan

Compiler

Compiled 259 to 154 computations (40.5% saved)

Details

analyze151.0ms (4.8%)

sample19.0ms (0.6%)

simplify7.0ms (0.2%)

prune2.0ms (0.1%)

localize3.0ms (0.1%)

rewrite18.0ms (0.6%)

series44.0ms (1.4%)

simplify76.0ms (2.4%)

prune18.0ms (0.6%)

localize8.0ms (0.2%)

rewrite123.0ms (3.9%)

series273.0ms (8.7%)

simplify93.0ms (2.9%)

prune100.0ms (3.2%)

localize7.0ms (0.2%)

rewrite137.0ms (4.3%)

series333.0ms (10.6%)

simplify114.0ms (3.6%)

prune124.0ms (3.9%)

localize18.0ms (0.6%)

rewrite80.0ms (2.5%)

series523.0ms (16.6%)

simplify60.0ms (1.9%)

prune91.0ms (2.9%)

regimes108.0ms (3.4%)

bsearch0.0ms (0%)

simplify8.0ms (0.2%)

end0.0ms (0%)

sample620.0ms (19.7%)

Profiling