Details

analyze3.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	56.2%	43.8%	0
0%	56.2%	43.8%	1
28.1%	28.1%	43.8%	2
56.2%	0%	43.8%	3

Compiler

Compiled 20 to 16 computations (20% saved)

sample28.0ms (0.4%)

Algorithm

1×

intervals

Results

6.0ms	188×	body	128	valid
5.0ms	38×	body	1024	valid
4.0ms	256×	pre	128	true
2.0ms	20×	body	512	valid
0.0ms	3×	body	2048	valid
0.0ms	7×	body	256	valid

Compiler

Compiled 33 to 29 computations (12.1% saved)

simplify352.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (252.0ms)

Iter	Nodes	Cost
0	5018	19

prune2.0ms (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

16.4b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
0.7b	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)

rewrite112.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

15.7b

Rules

58×	`*-un-lft-identity_binary64_1783`
26×	`add-sqr-sqrt_binary64_1805`
25×	`times-frac_binary64_1789`
19×	`distribute-lft-out_binary64_1734`
14×	`add-cube-cbrt_binary64_1818`
6×	`difference-of-squares_binary64_1752` `distribute-lft-out--_binary64_1735`
5×	`associate-/l_binary64_1728` `associate-/r_binary64_1727`
4×	`add-log-exp_binary64_1822` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
2×	`pow1_binary64_1844` `flip3-+_binary64_1786` `flip-+_binary64_1757` `div-sub_binary64_1788` `associate-/l/_binary64_1730` `associate-/r/_binary64_1729`
1×	`sum-log_binary64_1874` `associate-+l-_binary64_1718` `+-commutative_binary64_1713` `div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `div-inv_binary64_1780` `flip3--_binary64_1787` `flip--_binary64_1758`

Counts

2 → 65

Calls

2 calls:

19.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
11.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))

Compiler

Compiled 1500 to 803 computations (46.5% saved)

series487.0ms (6.4%)

Error

0.0b

Counts

2 → 48

Calls

2 calls:

239.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
152.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))

Compiler

Compiled 3988 to 3205 computations (19.6% saved)

simplify60.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5023	3850

prune145.0ms (1.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	109	4	113
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	110	4	114

Error

0.0b

Counts

114 → 4

Compiler

Compiled 3352 to 2035 computations (39.3% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) 2)) (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))
0.0b	(/.f64 alpha (+.f64 alpha (+.f64 2 beta)))
0.0b	(/.f64 beta (+.f64 (+.f64 alpha beta) 2))
0.7b	(+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))

rewrite215.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

74×	`*-un-lft-identity_binary64_1783`
31×	`times-frac_binary64_1789`
30×	`add-sqr-sqrt_binary64_1805`
27×	`distribute-lft-out_binary64_1734`
25×	`add-cube-cbrt_binary64_1818`
11×	`add-log-exp_binary64_1822`
10×	`associate-/r*_binary64_1727`
8×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
6×	`associate-/l*_binary64_1728`
4×	`pow1_binary64_1844` `flip3-+_binary64_1786` `flip-+_binary64_1757` `associate-/r/_binary64_1729` `cancel-sign-sub-inv_binary64_1749`
2×	`sum-log_binary64_1874` `div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `div-inv_binary64_1780` `diff-log_binary64_1875` `frac-sub_binary64_1792` `difference-of-squares_binary64_1752` `distribute-lft-out--_binary64_1735`
1×	`+-commutative_binary64_1713` `flip3--_binary64_1787` `sub-neg_binary64_1776` `flip--_binary64_1758` `associate--r+_binary64_1719`

Counts

4 → 109

Calls

4 calls:

30.0ms	(-.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) 2)) (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))
12.0ms	(+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))
8.0ms	(/.f64 beta (+.f64 (+.f64 alpha beta) 2))
7.0ms	(/.f64 alpha (+.f64 alpha (+.f64 2 beta)))

Compiler

Compiled 3215 to 2058 computations (36% saved)

series791.0ms (10.4%)

Error

0.0b

Counts

4 → 86

Calls

4 calls:

230.0ms	(-.f64 (/.f64 beta (+.f64 (+.f64 alpha beta) 2)) (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))
142.0ms	(/.f64 beta (+.f64 (+.f64 alpha beta) 2))
132.0ms	(+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))
116.0ms	(/.f64 alpha (+.f64 alpha (+.f64 2 beta)))

Compiler

Compiled 7272 to 5595 computations (23.1% saved)

simplify89.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5236	6024

prune309.0ms (4.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	194	1	195
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	195	4	199

Error

0.0b

Counts

199 → 4

Compiler

Compiled 6428 to 4004 computations (37.7% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(cbrt.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))
0.7b	(+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))
0.7b	(+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))
0.7b	(+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))

rewrite165.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

13×	`*-un-lft-identity_binary64_1783`
10×	`add-log-exp_binary64_1822`
5×	`add-cube-cbrt_binary64_1818` `add-sqr-sqrt_binary64_1805`
4×	`pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819` `flip3-+_binary64_1786` `flip-+_binary64_1757` `distribute-lft-out_binary64_1734` `cbrt-prod_binary64_1814`
3×	`sum-log_binary64_1874` `+-commutative_binary64_1713`
2×	`cbrt-div_binary64_1815`
1×	`pow1/3_binary64_1865`

Counts

4 → 50

Calls

4 calls:

14.0ms	(+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))
12.0ms	(cbrt.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))
12.0ms	(+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))
12.0ms	(+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))

Compiler

Compiled 2638 to 1862 computations (29.4% saved)

series696.0ms (9.2%)

Error

0.0b

Counts

4 → 60

Calls

4 calls:

144.0ms	(+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))
134.0ms	(+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))
134.0ms	(+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta))))
109.0ms	(cbrt.f64 (+.f64 -1 (/.f64 alpha (+.f64 alpha (+.f64 2 beta)))))

Compiler

Compiled 8272 to 6243 computations (24.5% saved)

simplify54.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5178	3279

prune293.0ms (3.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	110	4	114

Error

0.0b

Counts

114 → 4

Compiler

Compiled 6142 to 4215 computations (31.4% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))
0.1b	(/.f64 1 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)))
0.7b	(+.f64 (/.f64 1 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))) 1)

rewrite406.0ms (5.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

276×	`*-un-lft-identity_binary64_1783`
218×	`times-frac_binary64_1789`
143×	`add-sqr-sqrt_binary64_1805`
91×	`add-cube-cbrt_binary64_1818`
80×	`distribute-lft-out_binary64_1734`
36×	`associate-/r*_binary64_1727`
26×	`difference-of-squares_binary64_1752` `distribute-lft-out--_binary64_1735`
16×	`add-exp-log_binary64_1821`
11×	`associate-/r/_binary64_1729`
10×	`add-cbrt-cube_binary64_1819`
8×	`div-exp_binary64_1834` `associate-/l*_binary64_1728`
7×	`div-inv_binary64_1780`
5×	`add-log-exp_binary64_1822` `flip3--_binary64_1787` `flip--_binary64_1758`
4×	`pow1_binary64_1844` `cbrt-undiv_binary64_1817`
2×	`flip3-+_binary64_1786` `flip-+_binary64_1757` `1-exp_binary64_1827` `rec-exp_binary64_1833` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `associate-/l/_binary64_1730`
1×	`sum-log_binary64_1874` `+-commutative_binary64_1713` `inv-pow_binary64_1868` `pow-flip_binary64_1857`

Counts

3 → 212

Calls

3 calls:

43.0ms	(+.f64 (/.f64 1 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))) 1)
16.0ms	(/.f64 1 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)))
11.0ms	(/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))

Compiler

Compiled 5819 to 3756 computations (35.5% saved)

series582.0ms (7.7%)

Error

0.0b

Counts

3 → 65

Calls

3 calls:

234.0ms	(+.f64 (/.f64 1 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))) 1)
143.0ms	(/.f64 1 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)))
93.0ms	(/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))

Compiler

Compiled 5021 to 4090 computations (18.5% saved)

simplify105.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

277 → 277

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5435	8203

prune388.0ms (5.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	277	0	277
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	277	4	281

Error

0.0b

Counts

281 → 4

Compiler

Compiled 7326 to 4493 computations (38.7% saved)

regimes494.0ms (6.5%)

Accuracy

Total 0.0b remaining (70.6%)

Threshold costs 0.0b (70.6%)

Compiler

Compiled 5825 to 4381 computations (24.8% saved)

bsearch2.0ms (0%)

Compiler: Compiled 9 to 7 computations (22.2% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	147	92
1	147	92

end0.0ms (0%)

sample1.8s (23.2%)

Algorithm

1×

intervals

Results

206.0ms	6033×	body	128	valid
142.0ms	8000×	pre	128	true
123.0ms	975×	body	1024	valid
53.0ms	564×	body	512	valid
26.0ms	346×	body	256	valid
14.0ms	82×	body	2048	valid

Compiler

Compiled 1185 to 882 computations (25.6% saved)

Details

analyze3.0ms (0%)

sample28.0ms (0.4%)

simplify352.0ms (4.6%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite112.0ms (1.5%)

series487.0ms (6.4%)

simplify60.0ms (0.8%)

prune145.0ms (1.9%)

localize11.0ms (0.1%)

rewrite215.0ms (2.8%)

series791.0ms (10.4%)

simplify89.0ms (1.2%)

prune309.0ms (4.1%)

localize16.0ms (0.2%)

rewrite165.0ms (2.2%)

series696.0ms (9.2%)

simplify54.0ms (0.7%)

prune293.0ms (3.9%)

localize9.0ms (0.1%)

rewrite406.0ms (5.3%)

series582.0ms (7.7%)

simplify105.0ms (1.4%)

prune388.0ms (5.1%)

regimes494.0ms (6.5%)

bsearch2.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.8s (23.2%)

Profiling