Details

analyze2.0ms (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)

sample30.0ms (0.5%)

Algorithm

1×

intervals

Results

6.0ms	179×	body	128	valid
4.0ms	35×	body	1024	valid
4.0ms	256×	pre	128	true
2.0ms	23×	body	512	valid
1.0ms	14×	body	256	valid
1.0ms	5×	body	2048	valid

Compiler

Compiled 33 to 29 computations (12.1% saved)

simplify341.0ms (5.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (244.0ms)

Iter	Nodes	Cost
0	5018	19

prune6.0ms (0.1%)

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

19.5b

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))
2.7b	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)

rewrite121.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

18.6b

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:

18.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
10.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))

Compiler

Compiled 1500 to 803 computations (46.5% saved)

series383.0ms (6.2%)

Error

0.1b

Counts

2 → 40

Calls

2 calls:

179.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
137.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))

Compiler

Compiled 2952 to 2371 computations (19.7% saved)

simplify71.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5018	2918

prune120.0ms (1.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	102	3	105
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	103	3	106

Error

0.1b

Counts

106 → 3

Compiler

Compiled 2581 to 1598 computations (38.1% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 alpha (+.f64 2 beta))
0.0b	(/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))
0.1b	(/.f64 1 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)))
2.7b	(+.f64 (/.f64 1 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))) 1)

rewrite421.0ms (6.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

282×	`*-un-lft-identity_binary64_1783`
218×	`times-frac_binary64_1789`
144×	`add-sqr-sqrt_binary64_1805`
92×	`add-cube-cbrt_binary64_1818`
83×	`distribute-lft-out_binary64_1734`
36×	`associate-/r*_binary64_1727`
26×	`difference-of-squares_binary64_1752` `distribute-lft-out--_binary64_1735`
17×	`add-exp-log_binary64_1821`
11×	`add-log-exp_binary64_1822` `add-cbrt-cube_binary64_1819` `associate-/r/_binary64_1729`
8×	`div-exp_binary64_1834` `associate-/l*_binary64_1728`
7×	`div-inv_binary64_1780`
5×	`pow1_binary64_1844` `flip3--_binary64_1787` `flip--_binary64_1758`
4×	`sum-log_binary64_1874` `cbrt-undiv_binary64_1817`
3×	`flip3-+_binary64_1786` `flip-+_binary64_1757`
2×	`+-commutative_binary64_1713` `1-exp_binary64_1827` `rec-exp_binary64_1833` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `associate-/l/_binary64_1730`
1×	`inv-pow_binary64_1868` `pow-flip_binary64_1857` `associate-+r+_binary64_1715`

Counts

4 → 227

Calls

4 calls:

39.0ms	(+.f64 (/.f64 1 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))) 1)
15.0ms	(/.f64 1 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)))
10.0ms	(/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))
9.0ms	(+.f64 alpha (+.f64 2 beta))

Compiler

Compiled 6133 to 3972 computations (35.2% saved)

series527.0ms (8.5%)

Error

0.1b

Counts

4 → 64

Calls

4 calls:

190.0ms	(+.f64 (/.f64 1 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))) 1)
137.0ms	(/.f64 1 (/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha)))
76.0ms	(/.f64 (+.f64 alpha (+.f64 2 beta)) (-.f64 beta alpha))
46.0ms	(+.f64 alpha (+.f64 2 beta))

Compiler

Compiled 3977 to 3243 computations (18.5% saved)

simplify97.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

291 → 291

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5061	7220

prune377.0ms (6.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	291	0	291
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	291	3	294

Error

0.1b

Counts

294 → 3

Compiler

Compiled 6965 to 4325 computations (37.9% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (+.f64 2 (*.f64 2 beta)) alpha)

rewrite35.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

9×	`add-cube-cbrt_binary64_1818` `add-sqr-sqrt_binary64_1805` `times-frac_binary64_1789` `*-un-lft-identity_binary64_1783`
3×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819` `associate-/l_binary64_1728` `associate-/r_binary64_1727`
2×	`associate-/l/_binary64_1730`
1×	`pow1_binary64_1844` `div-exp_binary64_1834` `add-log-exp_binary64_1822` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `div-inv_binary64_1780` `flip3-+_binary64_1786` `flip-+_binary64_1757`

Counts

1 → 29

Calls

1 calls:

5.0ms

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

Compiler

Compiled 527 to 407 computations (22.8% saved)

series88.0ms (1.4%)

Error

0.1b

Counts

1 → 9

Calls

1 calls:

82.0ms

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

Compiler

Compiled 236 to 209 computations (11.4% saved)

simplify62.0ms (1%)

Algorithm

1×	egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5423	571

prune39.0ms (0.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	37	1	38
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	37	4	41

Error

0.1b

Counts

41 → 4

Compiler

Compiled 609 to 465 computations (23.6% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(*.f64 (cbrt.f64 alpha) (cbrt.f64 alpha))
0.6b	(cbrt.f64 alpha)
0.6b	(cbrt.f64 alpha)
0.6b	(cbrt.f64 alpha)

rewrite109.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

25×	`cbrt-prod_binary64_1814`
23×	`add-sqr-sqrt_binary64_1805`
15×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
11×	`pow1_binary64_1844`
9×	`pow1/3_binary64_1865`
6×	`add-exp-log_binary64_1821` `swap-sqr_binary64_1750` `associate-l_binary64_1724` `associate-r_binary64_1723`
4×	`add-log-exp_binary64_1822` `add-cbrt-cube_binary64_1819` `unswap-sqr_binary64_1751`
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` `*-commutative_binary64_1714`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 alpha) (cbrt.f64 alpha))
1.0ms	(cbrt.f64 alpha)
1.0ms	(cbrt.f64 alpha)
1.0ms	(cbrt.f64 alpha)

Compiler

Compiled 2108 to 1255 computations (40.5% saved)

series338.0ms (5.5%)

Error

0.1b

Counts

4 → 12

Calls

4 calls:

88.0ms	(*.f64 (cbrt.f64 alpha) (cbrt.f64 alpha))
88.0ms	(cbrt.f64 alpha)
74.0ms	(cbrt.f64 alpha)
74.0ms	(cbrt.f64 alpha)

Compiler

Compiled 951 to 790 computations (16.9% saved)

simplify76.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune103.0ms (1.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	85	4	89

Error

0.1b

Counts

89 → 4

Compiler

Compiled 2253 to 1490 computations (33.9% saved)

regimes711.0ms (11.5%)

Accuracy

Total 0.1b remaining (57.7%)

Threshold costs 0.1b (57.7%)

Compiler

Compiled 7478 to 5865 computations (21.6% saved)

bsearch3.0ms (0%)

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

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	126	146
1	126	146

end0.0ms (0%)

sample2.1s (33.7%)

Algorithm

1×

intervals

Results

210.0ms	6011×	body	128	valid
148.0ms	8000×	pre	128	true
125.0ms	982×	body	1024	valid
59.0ms	611×	body	512	valid
20.0ms	315×	body	256	valid
13.0ms	81×	body	2048	valid

Compiler

Compiled 1507 to 1174 computations (22.1% saved)

Details

analyze2.0ms (0%)

sample30.0ms (0.5%)

simplify341.0ms (5.5%)

prune6.0ms (0.1%)

localize8.0ms (0.1%)

rewrite121.0ms (1.9%)

series383.0ms (6.2%)

simplify71.0ms (1.2%)

prune120.0ms (1.9%)

localize11.0ms (0.2%)

rewrite421.0ms (6.8%)

series527.0ms (8.5%)

simplify97.0ms (1.6%)

prune377.0ms (6.1%)

localize5.0ms (0.1%)

rewrite35.0ms (0.6%)

series88.0ms (1.4%)

simplify62.0ms (1%)

prune39.0ms (0.6%)

localize12.0ms (0.2%)

rewrite109.0ms (1.8%)

series338.0ms (5.5%)

simplify76.0ms (1.2%)

prune103.0ms (1.7%)

regimes711.0ms (11.5%)

bsearch3.0ms (0%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample2.1s (33.7%)

Profiling