Details

analyze121.0ms (0.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	28.1%	71.9%	0
0%	28.1%	71.9%	1
0%	28.1%	71.9%	2
0%	28.1%	71.9%	3
3.5%	24.6%	71.9%	4
5.3%	22.8%	71.9%	5
10.5%	17.5%	71.9%	6
14%	14%	71.9%	7
19.1%	9%	71.9%	8
24.6%	3.5%	71.9%	9
25.1%	3%	71.9%	10
25.8%	2.3%	71.9%	11
26.3%	1.8%	71.9%	12
26.6%	1.5%	71.9%	13
26.9%	1.2%	71.9%	14

Compiler

Compiled 39 to 27 computations (30.8% saved)

sample39.0ms (0.2%)

Algorithm

1×

intervals

Results

12.0ms	218×	body	128	valid
6.0ms	17×	body	1024	valid
6.0ms	256×	pre	128	true
2.0ms	11×	body	512	valid
1.0ms	10×	body	256	valid

Compiler

Compiled 68 to 50 computations (26.5% saved)

simplify161.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5371	43

prune3.0ms (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

21.0b

Counts

2 → 1

Compiler

Compiled 58 to 40 computations (31% saved)

localize15.0ms (0.1%)

Local error

Found 6 expressions with local error:

18.5b	(/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i)))
2.4b	(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1)
0.1b	(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2))
0.1b	(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2))
2.4b	(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1)
18.5b	(/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i)))

rewrite84.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

54×	`times-frac_binary64_1789`
47×	`*-un-lft-identity_binary64_1783`
25×	`add-sqr-sqrt_binary64_1805` `add-cube-cbrt_binary64_1818`
17×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821`
14×	`associate-/r/_binary64_1729`
11×	`distribute-lft-out_binary64_1734` `flip-+_binary64_1757` `flip3-+_binary64_1786`
10×	`associate-/l*_binary64_1728`
9×	`associate-/l/_binary64_1730`
7×	`div-inv_binary64_1780` `associate-/r*_binary64_1727` `cbrt-undiv_binary64_1817` `div-exp_binary64_1834`
5×	`add-log-exp_binary64_1822`
4×	`frac-times_binary64_1793`
3×	`flip3--_binary64_1787` `flip--_binary64_1758` `pow1_binary64_1844`
2×	`associate-r/_binary64_1725` `cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `associate-l/_binary64_1726` `frac-2neg_binary64_1794` `clear-num_binary64_1782`
1×	`+-commutative_binary64_1713` `sum-log_binary64_1874`

Counts

3 → 111

Calls

6 calls:

33.0ms	(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1)
21.0ms	(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2))
15.0ms	(/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i)))
0.0ms	(/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2))
0.0ms	(+.f64 (/.f64 (/.f64 (.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1)

series1.8s (7.9%)

Counts

3 → 57

Calls

3 calls:

966.0ms

(+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1)

635.0ms

(/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2))

171.0ms

(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))

Compiler

Compiled 5734 to 4533 computations (20.9% saved)

simplify85.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5087	8388

prune474.0ms (2.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	164	4	168
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	165	4	169

Error

0.1b

Counts

169 → 4

Compiler

Compiled 7527 to 4001 computations (46.8% saved)

localize13.0ms (0.1%)

Local error

Found 8 expressions with local error:

3.4b	(+.f64 (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 2 (+.f64 (+.f64 alpha beta) (*.f64 2 i))))) 1)
2.5b	(.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 2 (+.f64 (+.f64 alpha beta) (*.f64 2 i)))))
0.1b	(/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 2 (+.f64 (+.f64 alpha beta) (.f64 2 i))))
0.0b	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))
0.0b	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))
0.1b	(/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 2 (+.f64 (+.f64 alpha beta) (.f64 2 i))))
2.5b	(.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 2 (+.f64 (+.f64 alpha beta) (*.f64 2 i)))))
3.4b	(+.f64 (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 2 (+.f64 (+.f64 alpha beta) (*.f64 2 i))))) 1)

rewrite158.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

321×	`times-frac_binary64_1789`
290×	`*-un-lft-identity_binary64_1783`
211×	`add-sqr-sqrt_binary64_1805`
140×	`add-cube-cbrt_binary64_1818`
90×	`associate-r_binary64_1723`
44×	`distribute-lft-out_binary64_1734`
31×	`difference-of-squares_binary64_1752` `distribute-lft-out--_binary64_1735`
26×	`associate-/l*_binary64_1728`
24×	`associate-/r/_binary64_1729`
20×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821`
15×	`flip-+_binary64_1757` `flip3-+_binary64_1786`
12×	`div-inv_binary64_1780`
7×	`associate-/r*_binary64_1727` `cbrt-undiv_binary64_1817` `div-exp_binary64_1834`
6×	`add-log-exp_binary64_1822` `pow1_binary64_1844`
4×	`associate-l_binary64_1724`
3×	`div-sub_binary64_1788` `associate-/l/_binary64_1730` `cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `unswap-sqr_binary64_1751`
2×	`associate-*l/_binary64_1726` `frac-2neg_binary64_1794` `frac-times_binary64_1793` `clear-num_binary64_1782`
1×	`flip3--_binary64_1787` `associate-r/_binary64_1725` `+-commutative_binary64_1713` `-commutative_binary64_1714` `sum-log_binary64_1874` `pow-prod-down_binary64_1854` `flip--_binary64_1758`

Counts

4 → 295

Calls

8 calls:

47.0ms	(.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 2 (+.f64 (+.f64 alpha beta) (*.f64 2 i)))))
27.0ms	(+.f64 (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 2 (+.f64 (+.f64 alpha beta) (*.f64 2 i))))) 1)
20.0ms	(/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 2 (+.f64 (+.f64 alpha beta) (.f64 2 i))))
11.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))
0.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))

series2.5s (10.9%)

Counts

4 → 77

Calls

4 calls:

991.0ms	(+.f64 (.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 2 (+.f64 (+.f64 alpha beta) (*.f64 2 i))))) 1)
660.0ms	(/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 2 (+.f64 (+.f64 alpha beta) (.f64 2 i))))
656.0ms	(.f64 (+.f64 alpha beta) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) (.f64 2 i))) (+.f64 2 (+.f64 (+.f64 alpha beta) (*.f64 2 i)))))
146.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))

Compiler

Compiled 8243 to 6425 computations (22.1% saved)

simplify183.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

372 → 372

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4977	17790
1	4977	17790

prune927.0ms (4.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	370	2	372
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	371	5	376

Error

0.0b

Counts

376 → 5

Compiler

Compiled 17859 to 9540 computations (46.6% saved)

localize14.0ms (0.1%)

Local error

Found 8 expressions with local error:

2.5b	(.f64 (+.f64 alpha beta) (/.f64 1 (/.f64 (+.f64 2 (+.f64 (+.f64 alpha beta) (.f64 2 i))) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 i))))))
0.4b	(/.f64 1 (/.f64 (+.f64 2 (+.f64 (+.f64 alpha beta) (.f64 2 i))) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) (.f64 2 i)))))
0.1b	(/.f64 (+.f64 2 (+.f64 (+.f64 alpha beta) (.f64 2 i))) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) (.f64 2 i))))
0.0b	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))
0.1b	(/.f64 (+.f64 2 (+.f64 (+.f64 alpha beta) (.f64 2 i))) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) (.f64 2 i))))
0.4b	(/.f64 1 (/.f64 (+.f64 2 (+.f64 (+.f64 alpha beta) (.f64 2 i))) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) (.f64 2 i)))))
2.5b	(.f64 (+.f64 alpha beta) (/.f64 1 (/.f64 (+.f64 2 (+.f64 (+.f64 alpha beta) (.f64 2 i))) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 i))))))
3.4b	(+.f64 (.f64 (+.f64 alpha beta) (/.f64 1 (/.f64 (+.f64 2 (+.f64 (+.f64 alpha beta) (.f64 2 i))) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))))) 1)

rewrite591.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Rules

1713×	`times-frac_binary64_1789`
1199×	`*-un-lft-identity_binary64_1783`
879×	`add-sqr-sqrt_binary64_1805`
658×	`add-cube-cbrt_binary64_1818`
272×	`associate-r_binary64_1723`
170×	`distribute-lft-out_binary64_1734`
110×	`associate-/r*_binary64_1727`
99×	`difference-of-squares_binary64_1752` `distribute-lft-out--_binary64_1735`
76×	`associate-/r/_binary64_1729`
62×	`add-exp-log_binary64_1821`
43×	`div-inv_binary64_1780`
37×	`flip-+_binary64_1757` `flip3-+_binary64_1786`
33×	`div-exp_binary64_1834`
32×	`add-cbrt-cube_binary64_1819`
15×	`cbrt-undiv_binary64_1817`
10×	`prod-exp_binary64_1832`
7×	`associate-/l*_binary64_1728` `unswap-sqr_binary64_1751` `pow1_binary64_1844`
6×	`1-exp_binary64_1827` `rec-exp_binary64_1833` `add-log-exp_binary64_1822`
4×	`cbrt-unprod_binary64_1816` `associate-l_binary64_1724`
2×	`associate-/l/_binary64_1730` `associate-*l/_binary64_1726` `frac-2neg_binary64_1794` `frac-times_binary64_1793` `clear-num_binary64_1782`
1×	`associate-r/_binary64_1725` `un-div-inv_binary64_1781` `+-commutative_binary64_1713` `inv-pow_binary64_1868` `pow-flip_binary64_1857` `-commutative_binary64_1714` `sum-log_binary64_1874` `pow-prod-down_binary64_1854`

Counts

4 → 833

Calls

8 calls:

246.0ms	(+.f64 (.f64 (+.f64 alpha beta) (/.f64 1 (/.f64 (+.f64 2 (+.f64 (+.f64 alpha beta) (.f64 2 i))) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))))) 1)
97.0ms	(.f64 (+.f64 alpha beta) (/.f64 1 (/.f64 (+.f64 2 (+.f64 (+.f64 alpha beta) (.f64 2 i))) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 i))))))
32.0ms	(/.f64 1 (/.f64 (+.f64 2 (+.f64 (+.f64 alpha beta) (.f64 2 i))) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) (.f64 2 i)))))
26.0ms	(/.f64 (+.f64 2 (+.f64 (+.f64 alpha beta) (.f64 2 i))) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) (.f64 2 i))))
0.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))

series2.7s (12.2%)

Counts

4 → 86

Calls

4 calls:

990.0ms	(+.f64 (.f64 (+.f64 alpha beta) (/.f64 1 (/.f64 (+.f64 2 (+.f64 (+.f64 alpha beta) (.f64 2 i))) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))))) 1)
676.0ms	(/.f64 1 (/.f64 (+.f64 2 (+.f64 (+.f64 alpha beta) (.f64 2 i))) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) (.f64 2 i)))))
621.0ms	(.f64 (+.f64 alpha beta) (/.f64 1 (/.f64 (+.f64 2 (+.f64 (+.f64 alpha beta) (.f64 2 i))) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) (*.f64 2 i))))))
460.0ms	(/.f64 (+.f64 2 (+.f64 (+.f64 alpha beta) (.f64 2 i))) (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) (.f64 2 i))))

Compiler

Compiled 9202 to 7072 computations (23.1% saved)

simplify400.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

919 → 919

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5827	48821

prune3.9s (17.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	919	0	919
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	919	5	924

Error

0.0b

Counts

924 → 5

Compiler

Compiled 48814 to 27103 computations (44.5% saved)

localize15.0ms (0.1%)

Local error

Found 8 expressions with local error:

2.4b	(+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (-.f64 beta alpha))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1)
0.1b	(/.f64 (+.f64 alpha beta) (/.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (-.f64 beta alpha)))
0.1b	(/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (-.f64 beta alpha))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2))
0.0b	(/.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (-.f64 beta alpha))
0.0b	(/.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (-.f64 beta alpha))
0.1b	(/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (-.f64 beta alpha))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2))
0.1b	(/.f64 (+.f64 alpha beta) (/.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (-.f64 beta alpha)))
2.4b	(+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (-.f64 beta alpha))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1)

rewrite331.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

1250×	`times-frac_binary64_1789`
1055×	`*-un-lft-identity_binary64_1783`
619×	`add-sqr-sqrt_binary64_1805`
461×	`add-cube-cbrt_binary64_1818`
218×	`distribute-lft-out_binary64_1734`
96×	`associate-/l*_binary64_1728`
79×	`difference-of-squares_binary64_1752` `distribute-lft-out--_binary64_1735`
60×	`associate-/r/_binary64_1729`
33×	`div-inv_binary64_1780`
30×	`associate-/r*_binary64_1727`
26×	`flip3--_binary64_1787` `flip--_binary64_1758`
20×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821`
10×	`cbrt-undiv_binary64_1817` `div-exp_binary64_1834`
6×	`add-log-exp_binary64_1822`
5×	`associate-/l/_binary64_1730`
4×	`flip-+_binary64_1757` `flip3-+_binary64_1786` `pow1_binary64_1844`
3×	`frac-2neg_binary64_1794` `clear-num_binary64_1782`
1×	`+-commutative_binary64_1713` `sum-log_binary64_1874`

Counts

4 → 645

Calls

8 calls:

129.0ms	(+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (-.f64 beta alpha))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1)
40.0ms	(/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (-.f64 beta alpha))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2))
20.0ms	(/.f64 (+.f64 alpha beta) (/.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (-.f64 beta alpha)))
11.0ms	(/.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (-.f64 beta alpha))
0.0ms	(/.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (-.f64 beta alpha))

series2.0s (8.7%)

Counts

4 → 75

Calls

4 calls:

983.0ms	(+.f64 (/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (-.f64 beta alpha))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1)
646.0ms	(/.f64 (/.f64 (+.f64 alpha beta) (/.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) (-.f64 beta alpha))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2))
164.0ms	(/.f64 (+.f64 alpha beta) (/.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (-.f64 beta alpha)))
161.0ms	(/.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) (-.f64 beta alpha))

Compiler

Compiled 6701 to 5246 computations (21.7% saved)

simplify392.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

720 → 720

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4975	42330
1	4975	42330

prune2.2s (9.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	720	0	720
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	720	5	725

Error

0.0b

Counts

725 → 5

Compiler

Compiled 35738 to 17761 computations (50.3% saved)

simplify40.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (12.0ms)

Iter	Nodes	Cost
0	679	2620
1	679	2620

regimes454.0ms (2%)

Compiler: Compiled 6992 to 4652 computations (33.5% saved)

bsearch40.0ms (0.2%)

Steps

Iters	Range		Point
9	3.9456670793321635e+128	3.949383872365426e+134	2.289479035952906e+129

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes129.0ms (0.6%)

Compiler: Compiled 920 to 816 computations (11.3% saved)

bsearch38.0ms (0.2%)

Steps

Iters	Range		Point
9	3.9456670793321635e+128	3.949383872365426e+134	2.4515200544803877e+129

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes106.0ms (0.5%)

Compiler: Compiled 688 to 656 computations (4.7% saved)

bsearch38.0ms (0.2%)

Steps

Iters	Range		Point
9	3.9456670793321635e+128	3.949383872365426e+134	9.736881760267546e+128

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes71.0ms (0.3%)

Compiler: Compiled 252 to 304 computations (-20.6% saved)

bsearch37.0ms (0.2%)

Steps

Iters	Range		Point
9	3.9456670793321635e+128	3.949383872365426e+134	4.013184170385281e+128

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes64.0ms (0.3%)

Compiler: Compiled 96 to 141 computations (-46.9% saved)

bsearch54.0ms (0.2%)

Steps

Iters	Range		Point
9	3.9456670793321635e+128	3.949383872365426e+134	4.013184170385281e+128
7	5.338006044291294e-60	1.8458991550910252e-58	1.1599945034432102e-59

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes53.0ms (0.2%)

Compiler: Compiled 57 to 105 computations (-84.2% saved)

bsearch19.0ms (0.1%)

Steps

Iters	Range		Point
7	1.3293649485542982e+41	2.168945374235107e+42	7.83010728844173e+41

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes25.0ms (0.1%)

Accuracy

Total 6.2b remaining (98.9%)

Threshold costs 0b (0%)

Compiler

Compiled 15 to 54 computations (-260% saved)

bsearch9.0ms (0%)

Compiler: Compiled 200 to 162 computations (19% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	86	293
1	86	293

end0.0ms (0%)

sample2.3s (10.4%)

Algorithm

1×

intervals

Results

389.0ms	6490×	body	128	valid
183.0ms	8000×	pre	128	true
160.0ms	695×	body	1024	valid
82.0ms	473×	body	512	valid
34.0ms	300×	body	256	valid
12.0ms	42×	body	2048	valid

Compiler

Compiled 1984 to 1348 computations (32.1% saved)

Pareto

0.6011550248121185

Details

analyze121.0ms (0.5%)

sample39.0ms (0.2%)

simplify161.0ms (0.7%)

prune3.0ms (0%)

localize15.0ms (0.1%)

rewrite84.0ms (0.4%)

series1.8s (7.9%)

simplify85.0ms (0.4%)

prune474.0ms (2.1%)

localize13.0ms (0.1%)

rewrite158.0ms (0.7%)

series2.5s (10.9%)

simplify183.0ms (0.8%)

prune927.0ms (4.1%)

localize14.0ms (0.1%)

rewrite591.0ms (2.6%)

series2.7s (12.2%)

simplify400.0ms (1.8%)

prune3.9s (17.3%)

localize15.0ms (0.1%)

rewrite331.0ms (1.5%)

series2.0s (8.7%)

simplify392.0ms (1.7%)

prune2.2s (9.6%)

simplify40.0ms (0.2%)

regimes454.0ms (2%)

bsearch40.0ms (0.2%)

regimes129.0ms (0.6%)

bsearch38.0ms (0.2%)

regimes106.0ms (0.5%)

bsearch38.0ms (0.2%)

regimes71.0ms (0.3%)

bsearch37.0ms (0.2%)

regimes64.0ms (0.3%)

bsearch54.0ms (0.2%)

regimes53.0ms (0.2%)

bsearch19.0ms (0.1%)

regimes25.0ms (0.1%)

bsearch9.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample2.3s (10.4%)

Profiling