Details

analyze1.4s (10.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	48.6%	51.4%	0
0%	48.6%	51.4%	1
24.3%	24.3%	51.4%	2
24.3%	24.3%	51.4%	3
30.4%	18.2%	51.4%	4
30.4%	18.2%	51.4%	5
33.4%	15.2%	51.4%	6
33.4%	15.2%	51.4%	7
34.6%	14.1%	51.4%	8
34.8%	13.9%	51.4%	9
35.4%	13.2%	51.4%	10
35.6%	13.1%	51.4%	11
35.9%	12.7%	51.4%	12
36%	12.6%	51.4%	13
36.2%	12.4%	51.4%	14

Compiler

Compiled 22 to 18 computations (18.2% saved)

sample73.0ms (0.5%)

Algorithm

1×

intervals

Results

18.0ms	28×	body	2048	valid
18.0ms	192×	body	128	valid
8.0ms	256×	pre	128	true
6.0ms	16×	body	1024	valid
4.0ms	6×	body	4096	valid
2.0ms	8×	body	512	valid
1.0ms	6×	body	256	valid

Compiler

Compiled 39 to 34 computations (12.8% saved)

simplify154.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	38	26
1	38	26

prune5.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

14.7b

Counts

2 → 1

Compiler

Compiled 34 to 28 computations (17.6% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (.f64 1/2 (+.f64 1 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 4 p) p) (.f64 x x)))))))
0.0b	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 4 p) p) (*.f64 x x))))
1.6b	(+.f64 1 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 4 p) p) (*.f64 x x)))))
14.7b	(sqrt.f64 (+.f64 (.f64 (.f64 4 p) p) (*.f64 x x)))

rewrite102.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`*-un-lft-identity_binary64_1783`
21×	`add-sqr-sqrt_binary64_1805`
20×	`add-cube-cbrt_binary64_1818`
18×	`times-frac_binary64_1789`
16×	`sqrt-prod_binary64_1799`
8×	`pow1_binary64_1844`
6×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821` `associate-/r*_binary64_1727` `sqrt-div_binary64_1800` `add-log-exp_binary64_1822`
4×	`flip-+_binary64_1757` `flip3-+_binary64_1786`
3×	`associate-/l*_binary64_1728` `sqrt-pow1_binary64_1801`
2×	`associate-*r/_binary64_1725` `associate-/r/_binary64_1729` `pow1/2_binary64_1863`
1×	`+-commutative_binary64_1713` `distribute-lft-out_binary64_1734` `div-inv_binary64_1780` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `sum-log_binary64_1874` `div-exp_binary64_1834` `clear-num_binary64_1782` `pow-prod-down_binary64_1854` `rem-sqrt-square_binary64_1796`

Counts

4 → 81

Calls

4 calls:

31.0ms	(+.f64 1 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 4 p) p) (*.f64 x x)))))
28.0ms	(sqrt.f64 (.f64 1/2 (+.f64 1 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 4 p) p) (.f64 x x)))))))
16.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 4 p) p) (*.f64 x x))))
11.0ms	(sqrt.f64 (+.f64 (.f64 (.f64 4 p) p) (*.f64 x x)))

series1.2s (9.3%)

Counts

4 → 73

Calls

4 calls:

441.0ms	(sqrt.f64 (.f64 1/2 (+.f64 1 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 4 p) p) (.f64 x x)))))))
302.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 4 p) p) (*.f64 x x))))
287.0ms	(+.f64 1 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 4 p) p) (*.f64 x x)))))
211.0ms	(sqrt.f64 (+.f64 (.f64 (.f64 4 p) p) (*.f64 x x)))

Compiler

Compiled 1973 to 1815 computations (8% saved)

simplify119.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5089	3905

prune374.0ms (2.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	149	5	154
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	150	5	155

Error

3.1b

Counts

155 → 5

Compiler

Compiled 3696 to 2473 computations (33.1% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (+.f64 1 (/.f64 x (sqrt.f64 (+.f64 (.f64 p (.f64 4 p)) (*.f64 x x))))) 3)
0.0b	(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 x (sqrt.f64 (+.f64 (.f64 p (.f64 4 p)) (*.f64 x x))))) 3))
1.6b	(+.f64 1 (/.f64 x (sqrt.f64 (+.f64 (.f64 p (.f64 4 p)) (*.f64 x x)))))
14.7b	(sqrt.f64 (+.f64 (.f64 p (.f64 4 p)) (*.f64 x x)))

rewrite113.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64_1783`
14×	`cbrt-prod_binary64_1814`
12×	`add-sqr-sqrt_binary64_1805`
11×	`add-cube-cbrt_binary64_1818`
8×	`unpow-prod-down_binary64_1862` `cube-prod_binary64_1811`
6×	`add-log-exp_binary64_1822` `pow1_binary64_1844`
5×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821` `distribute-lft-out_binary64_1734`
4×	`flip-+_binary64_1757` `flip3-+_binary64_1786` `cube-div_binary64_1812`
3×	`pow-unpow_binary64_1860` `sqrt-prod_binary64_1799`
2×	`sqr-pow_binary64_1755` `cube-mult_binary64_1813` `unpow3_binary64_1849` `cbrt-div_binary64_1815` `sqrt-div_binary64_1800`
1×	`+-commutative_binary64_1713` `rem-cbrt-cube_binary64_1807` `rem-cube-cbrt_binary64_1806` `pow1/2_binary64_1863` `sum-log_binary64_1874` `sqrt-pow1_binary64_1801` `pow-pow_binary64_1855` `pow1/3_binary64_1865` `rem-sqrt-square_binary64_1796` `pow-to-exp_binary64_1852` `pow-exp_binary64_1851`

Counts

4 → 79

Calls

4 calls:

33.0ms	(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 x (sqrt.f64 (+.f64 (.f64 p (.f64 4 p)) (*.f64 x x))))) 3))
28.0ms	(pow.f64 (+.f64 1 (/.f64 x (sqrt.f64 (+.f64 (.f64 p (.f64 4 p)) (*.f64 x x))))) 3)
26.0ms	(+.f64 1 (/.f64 x (sqrt.f64 (+.f64 (.f64 p (.f64 4 p)) (*.f64 x x)))))
10.0ms	(sqrt.f64 (+.f64 (.f64 p (.f64 4 p)) (*.f64 x x)))

series1.1s (8.5%)

Counts

4 → 72

Calls

4 calls:

309.0ms	(pow.f64 (+.f64 1 (/.f64 x (sqrt.f64 (+.f64 (.f64 p (.f64 4 p)) (*.f64 x x))))) 3)
307.0ms	(+.f64 1 (/.f64 x (sqrt.f64 (+.f64 (.f64 p (.f64 4 p)) (*.f64 x x)))))
298.0ms	(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 x (sqrt.f64 (+.f64 (.f64 p (.f64 4 p)) (*.f64 x x))))) 3))
214.0ms	(sqrt.f64 (+.f64 (.f64 p (.f64 4 p)) (*.f64 x x)))

Compiler

Compiled 1755 to 1629 computations (7.2% saved)

simplify137.0ms (1%)

Algorithm

1×	egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4941	3528
1	4941	3528

prune318.0ms (2.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	151	0	151
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	151	5	156

Error

3.1b

Counts

156 → 5

Compiler

Compiled 3643 to 2522 computations (30.8% saved)

localize34.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 x (sqrt.f64 (sqrt.f64 (+.f64 (.f64 p (.f64 4 p)) (*.f64 x x)))))
8.1b	(+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 (.f64 p (.f64 4 p)) (.f64 x x))))) (/.f64 x (sqrt.f64 (sqrt.f64 (+.f64 (.f64 p (.f64 4 p)) (*.f64 x x)))))))
14.7b	(sqrt.f64 (+.f64 (.f64 p (.f64 4 p)) (*.f64 x x)))
14.7b	(sqrt.f64 (+.f64 (.f64 p (.f64 4 p)) (*.f64 x x)))

rewrite71.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`sqrt-prod_binary64_1799`
30×	`add-sqr-sqrt_binary64_1805`
28×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
27×	`times-frac_binary64_1789`
9×	`associate-/r*_binary64_1727`
8×	`sqrt-div_binary64_1800`
6×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821` `add-log-exp_binary64_1822` `pow1_binary64_1844`
4×	`flip-+_binary64_1757` `flip3-+_binary64_1786`
3×	`associate-/l*_binary64_1728`
2×	`associate-/r/_binary64_1729` `pow1/2_binary64_1863` `sqrt-pow1_binary64_1801` `rem-sqrt-square_binary64_1796`
1×	`+-commutative_binary64_1713` `div-inv_binary64_1780` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `sum-log_binary64_1874` `div-exp_binary64_1834` `clear-num_binary64_1782`

Counts

4 → 94

Calls

4 calls:

19.0ms	(/.f64 x (sqrt.f64 (sqrt.f64 (+.f64 (.f64 p (.f64 4 p)) (*.f64 x x)))))
10.0ms	(sqrt.f64 (+.f64 (.f64 p (.f64 4 p)) (*.f64 x x)))
10.0ms	(sqrt.f64 (+.f64 (.f64 p (.f64 4 p)) (*.f64 x x)))
7.0ms	(+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 (.f64 p (.f64 4 p)) (.f64 x x))))) (/.f64 x (sqrt.f64 (sqrt.f64 (+.f64 (.f64 p (.f64 4 p)) (*.f64 x x)))))))

series1.4s (10.6%)

Counts

4 → 75

Calls

4 calls:

567.0ms	(/.f64 x (sqrt.f64 (sqrt.f64 (+.f64 (.f64 p (.f64 4 p)) (*.f64 x x)))))
312.0ms	(+.f64 1 (.f64 (/.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 (.f64 p (.f64 4 p)) (.f64 x x))))) (/.f64 x (sqrt.f64 (sqrt.f64 (+.f64 (.f64 p (.f64 4 p)) (*.f64 x x)))))))
262.0ms	(sqrt.f64 (+.f64 (.f64 p (.f64 4 p)) (*.f64 x x)))
261.0ms	(sqrt.f64 (+.f64 (.f64 p (.f64 4 p)) (*.f64 x x)))

Compiler

Compiled 3164 to 2662 computations (15.9% saved)

simplify121.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5052	4167

prune605.0ms (4.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	169	0	169
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	169	5	174

Error

3.1b

Counts

174 → 5

Compiler

Compiled 6220 to 4117 computations (33.8% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 2 (/.f64 p (/.f64 (.f64 x x) p)))
0.1b	(/.f64 p (/.f64 (*.f64 x x) p))
0.2b	(/.f64 (*.f64 x x) p)
22.1b	(sqrt.f64 (.f64 1/2 (.f64 2 (/.f64 p (/.f64 (*.f64 x x) p)))))

rewrite80.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

69×	`times-frac_binary64_1789`
45×	`add-sqr-sqrt_binary64_1805`
37×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
32×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821`
26×	`associate-r_binary64_1723`
12×	`cbrt-undiv_binary64_1817` `div-exp_binary64_1834` `pow1_binary64_1844`
10×	`div-inv_binary64_1780` `associate-/r*_binary64_1727`
7×	`cbrt-unprod_binary64_1816` `prod-exp_binary64_1832`
4×	`associate-/l*_binary64_1728` `pow-prod-down_binary64_1854` `add-log-exp_binary64_1822`
3×	`associate-r/_binary64_1725` `associate-l*_binary64_1724` `sqrt-pow1_binary64_1801` `unswap-sqr_binary64_1751`
2×	`associate-/r/_binary64_1729` `frac-2neg_binary64_1794` `clear-num_binary64_1782`
1×	`pow1/2_binary64_1863` `sqrt-prod_binary64_1799` `sqrt-div_binary64_1800` `*-commutative_binary64_1714`

Counts

4 → 132

Calls

4 calls:

25.0ms	(.f64 2 (/.f64 p (/.f64 (.f64 x x) p)))
14.0ms	(sqrt.f64 (.f64 1/2 (.f64 2 (/.f64 p (/.f64 (*.f64 x x) p)))))
12.0ms	(/.f64 p (/.f64 (*.f64 x x) p))
9.0ms	(/.f64 (*.f64 x x) p)

series494.0ms (3.7%)

Counts

4 → 24

Calls

4 calls:

163.0ms	(.f64 2 (/.f64 p (/.f64 (.f64 x x) p)))
136.0ms	(/.f64 p (/.f64 (*.f64 x x) p))
119.0ms	(/.f64 (*.f64 x x) p)
76.0ms	(sqrt.f64 (.f64 1/2 (.f64 2 (/.f64 p (/.f64 (*.f64 x x) p)))))

Compiler

Compiled 476 to 464 computations (2.5% saved)

simplify174.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (127.0ms)

Iter	Nodes	Cost
0	4940	1917
1	4940	1917

prune200.0ms (1.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	154	2	156
Fresh	0	2	2
Picked	1	0	1
Done	0	2	2
Total	155	6	161

Error

0.0b

Counts

161 → 6

Compiler

Compiled 2412 to 1065 computations (55.8% saved)

regimes1.5s (11.3%)

Accuracy

Total 0.2b remaining (84.5%)

Threshold costs 0.2b (84.5%)

Compiler

Compiled 7547 to 5918 computations (21.6% saved)

bsearch3.0ms (0%)

Compiler: Compiled 12 to 9 computations (25% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	71
1	31	71

end0.0ms (0%)

sample3.3s (25.1%)

Algorithm

1×

intervals

Results

486.0ms	6111×	body	128	valid
322.0ms	779×	body	2048	valid
212.0ms	8000×	pre	128	true
149.0ms	461×	body	1024	valid
131.0ms	258×	body	4096	valid
59.0ms	255×	body	512	valid
21.0ms	136×	body	256	valid

Compiler

Compiled 1096 to 847 computations (22.7% saved)

Details

analyze1.4s (10.8%)

sample73.0ms (0.5%)

simplify154.0ms (1.2%)

prune5.0ms (0%)

localize22.0ms (0.2%)

rewrite102.0ms (0.8%)

series1.2s (9.3%)

simplify119.0ms (0.9%)

prune374.0ms (2.8%)

localize26.0ms (0.2%)

rewrite113.0ms (0.8%)

series1.1s (8.5%)

simplify137.0ms (1%)

prune318.0ms (2.4%)

localize34.0ms (0.3%)

rewrite71.0ms (0.5%)

series1.4s (10.6%)

simplify121.0ms (0.9%)

prune605.0ms (4.6%)

localize16.0ms (0.1%)

rewrite80.0ms (0.6%)

series494.0ms (3.7%)

simplify174.0ms (1.3%)

prune200.0ms (1.5%)

regimes1.5s (11.3%)

bsearch3.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample3.3s (25.1%)

Profiling