Details

analyze4.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	56.2%	43.8%	0
0%	56.2%	43.8%	1
0%	56.2%	43.8%	2
42.1%	14%	43.8%	3
42.1%	14%	43.8%	4
52.7%	3.5%	43.8%	5
56.2%	0%	43.8%	6

Compiler

Compiled 42 to 29 computations (31% saved)

sample27.0ms (0.1%)

Algorithm

1×

intervals

Results

14.0ms	256×	body	128	valid
4.0ms	256×	pre	128	true

Compiler

Compiled 77 to 55 computations (28.6% saved)

simplify324.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (225.0ms)

Iter	Nodes	Cost
0	5023	37

prune5.0ms (0%)

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

Merged error: 1.4b

Counts

2 → 2

Compiler

Compiled 85 to 60 computations (29.4% saved)

localize13.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))
0.0b	(/.f64 (.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))) (+.f64 alpha (+.f64 beta 3)))
9.3b	(.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))))
11.2b	(/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))

rewrite109.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

77×	`*-un-lft-identity_binary64_1783`
34×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821` `distribute-lft-out_binary64_1734`
24×	`flip-+_binary64_1757` `flip3-+_binary64_1786`
21×	`add-sqr-sqrt_binary64_1805` `associate-r_binary64_1723`
18×	`associate-/r/_binary64_1729`
16×	`frac-times_binary64_1793`
15×	`add-cube-cbrt_binary64_1818`
14×	`times-frac_binary64_1789`
13×	`pow1_binary64_1844`
11×	`swap-sqr_binary64_1750`
10×	`cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `associate-*l/_binary64_1726` `cbrt-undiv_binary64_1817` `div-exp_binary64_1834`
9×	`associate-l_binary64_1724`
8×	`associate-*r/_binary64_1725`
7×	`associate-/l/_binary64_1730`
6×	`associate-/r*_binary64_1727`
5×	`associate-/l*_binary64_1728`
4×	`add-log-exp_binary64_1822`
3×	`div-inv_binary64_1780` `unswap-sqr_binary64_1751`
2×	`*-commutative_binary64_1714` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `pow-prod-down_binary64_1854`
1×	`distribute-lft-in_binary64_1732` `pow-plus_binary64_1846` `pow-prod-up_binary64_1853` `pow-sqr_binary64_1756` `distribute-rgt-in_binary64_1733` `pow2_binary64_1864`

Counts

4 → 158

Calls

4 calls:

29.0ms	(.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))))
28.0ms	(/.f64 (.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))) (+.f64 alpha (+.f64 beta 3)))
17.0ms	(/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))
16.0ms	(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))

series1.9s (3.9%)

Counts

4 → 51

Calls

4 calls:

1.0s	(/.f64 (.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))) (+.f64 alpha (+.f64 beta 3)))
422.0ms	(.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))))
316.0ms	(/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))
132.0ms	(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))

Compiler

Compiled 6541 to 5275 computations (19.4% saved)

simplify99.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

209 → 209

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5474	9780

prune642.0ms (1.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	203	6	209
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	205	6	211

Merged error: 0.0b

Counts

211 → 6

Compiler

Compiled 9465 to 6201 computations (34.5% saved)

localize15.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))
0.0b	(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta alpha) 2)) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)))
0.0b	(/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta alpha) 2))
0.0b	(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta alpha) 2)) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))

rewrite115.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

192×	`*-un-lft-identity_binary64_1783`
89×	`times-frac_binary64_1789`
82×	`distribute-lft-out_binary64_1734`
60×	`add-sqr-sqrt_binary64_1805`
48×	`add-cube-cbrt_binary64_1818`
38×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821`
26×	`associate-l_binary64_1724` `associate-r_binary64_1723`
15×	`associate-/r*_binary64_1727` `cbrt-undiv_binary64_1817` `div-exp_binary64_1834`
10×	`associate-/r/_binary64_1729`
9×	`associate-/l*_binary64_1728`
8×	`cbrt-unprod_binary64_1816` `prod-exp_binary64_1832`
7×	`associate-/l/_binary64_1730` `flip-+_binary64_1757` `flip3-+_binary64_1786`
6×	`pow1_binary64_1844`
5×	`div-inv_binary64_1780`
4×	`unswap-sqr_binary64_1751` `add-log-exp_binary64_1822`
3×	`frac-2neg_binary64_1794` `clear-num_binary64_1782`
2×	`associate-r/_binary64_1725` `associate-l/_binary64_1726` `frac-times_binary64_1793`
1×	`*-commutative_binary64_1714` `pow-prod-down_binary64_1854`

Counts

4 → 202

Calls

4 calls:

34.0ms	(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta alpha) 2)) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)))
31.0ms	(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta alpha) 2)) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
10.0ms	(/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))
10.0ms	(/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta alpha) 2))

series1.6s (3.4%)

Counts

4 → 44

Calls

4 calls:

1.0s	(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta alpha) 2)) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
428.0ms	(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta alpha) 2)) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)))
95.0ms	(/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))
89.0ms	(/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta alpha) 2))

Compiler

Compiled 5820 to 4635 computations (20.4% saved)

simplify104.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

246 → 246

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5307	10289

prune625.0ms (1.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	243	3	246
Fresh	3	2	5
Picked	1	0	1
Done	0	0	0
Total	247	5	252

Merged error: 0b

Counts

252 → 5

Compiler

Compiled 10512 to 6928 computations (34.1% saved)

localize14.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha beta) 2))
0.0b	(/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta alpha) 2))
0.0b	(/.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha beta) 2)))
0.1b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta alpha) 2)) (/.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha beta) 2))))

rewrite1.3s (2.6%)

Algorithm

1×	rewrite-expression-head

Rules

15581×	`*-un-lft-identity_binary64_1783`
12730×	`times-frac_binary64_1789`
6938×	`distribute-lft-out_binary64_1734`
3552×	`add-sqr-sqrt_binary64_1805` `add-cube-cbrt_binary64_1818`
587×	`associate-/r/_binary64_1729`
308×	`div-inv_binary64_1780`
282×	`flip-+_binary64_1757` `flip3-+_binary64_1786`
171×	`associate-/r*_binary64_1727`
39×	`associate-/l*_binary64_1728`
34×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821`
20×	`cbrt-undiv_binary64_1817` `div-exp_binary64_1834`
7×	`associate-/l/_binary64_1730`
4×	`frac-2neg_binary64_1794` `clear-num_binary64_1782` `add-log-exp_binary64_1822` `pow1_binary64_1844`

Counts

4 → 3963

Calls

4 calls:

134.0ms	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta alpha) 2)) (/.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha beta) 2))))
20.0ms	(/.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha beta) 2)))
10.0ms	(/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha beta) 2))
10.0ms	(/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta alpha) 2))

series1.4s (3%)

Counts

4 → 51

Calls

4 calls:

1.0s	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta alpha) 2)) (/.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha beta) 2))))
227.0ms	(/.f64 (+.f64 alpha (+.f64 beta 3)) (/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha beta) 2)))
94.0ms	(/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha beta) 2))
90.0ms	(/.f64 (+.f64 1 alpha) (+.f64 (+.f64 beta alpha) 2))

Compiler

Compiled 5226 to 4148 computations (20.6% saved)

simplify2.1s (4.5%)

Algorithm

1×	egg-herbie

Counts

4014 → 4014

Iterations

Useful iterations: 0 (139.0ms)

Iter	Nodes	Cost
0	5311	276369

prune32.8s (68.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	4014	0	4014
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	4014	5	4019

Merged error: 0b

Counts

4019 → 5

Compiler

Compiled 191860 to 123634 computations (35.6% saved)

localize17.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha beta) 2))
0.0b	(/.f64 (.f64 (.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha beta) 2))) (/.f64 1 (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
0.1b	(*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha beta) 2)))
0.1b	(.f64 (.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha beta) 2))) (/.f64 1 (+.f64 (+.f64 alpha beta) 2)))

rewrite120.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

131×	`*-un-lft-identity_binary64_1783`
103×	`add-exp-log_binary64_1821`
61×	`add-cbrt-cube_binary64_1819` `times-frac_binary64_1789`
54×	`distribute-lft-out_binary64_1734`
47×	`associate-r_binary64_1723`
42×	`add-sqr-sqrt_binary64_1805` `prod-exp_binary64_1832`
37×	`add-cube-cbrt_binary64_1818`
35×	`div-exp_binary64_1834`
22×	`cbrt-unprod_binary64_1816`
20×	`associate-*l/_binary64_1726` `frac-times_binary64_1793`
19×	`cbrt-undiv_binary64_1817`
15×	`flip-+_binary64_1757` `flip3-+_binary64_1786`
14×	`associate-/l/_binary64_1730`
11×	`pow1_binary64_1844`
10×	`associate-/r*_binary64_1727`
8×	`associate-/r/_binary64_1729`
7×	`associate-*r/_binary64_1725`
6×	`1-exp_binary64_1827` `rec-exp_binary64_1833`
5×	`associate-/l_binary64_1728` `associate-l*_binary64_1724`
4×	`div-inv_binary64_1780` `pow-prod-down_binary64_1854` `add-log-exp_binary64_1822`
2×	`un-div-inv_binary64_1781` `*-commutative_binary64_1714` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `unswap-sqr_binary64_1751`

Counts

4 → 212

Calls

4 calls:

32.0ms	(/.f64 (.f64 (.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha beta) 2))) (/.f64 1 (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
28.0ms	(.f64 (.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha beta) 2))) (/.f64 1 (+.f64 (+.f64 alpha beta) 2)))
20.0ms	(*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha beta) 2)))
14.0ms	(/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha beta) 2))

series1.6s (3.4%)

Counts

4 → 44

Calls

4 calls:

992.0ms	(/.f64 (.f64 (.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha beta) 2))) (/.f64 1 (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
421.0ms	(.f64 (.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha beta) 2))) (/.f64 1 (+.f64 (+.f64 alpha beta) 2)))
140.0ms	(*.f64 (+.f64 1 alpha) (/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha beta) 2)))
90.0ms	(/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha beta) 2))

Compiler

Compiled 6099 to 4840 computations (20.6% saved)

simplify113.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

256 → 256

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5646	10847

prune664.0ms (1.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	256	0	256
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	256	5	261

Merged error: 0b

Counts

261 → 5

Compiler

Compiled 10866 to 7206 computations (33.7% saved)

regimes268.0ms (0.6%)

Compiler: Compiled 3830 to 2900 computations (24.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	37
1	24	37

end0.0ms (0%)

sample1.7s (3.6%)

Algorithm

1×

intervals

Results

464.0ms	8000×	body	128	valid
143.0ms	8000×	pre	128	true

Compiler

Compiled 1319 to 997 computations (24.4% saved)

Details

analyze4.0ms (0%)

sample27.0ms (0.1%)

simplify324.0ms (0.7%)

prune5.0ms (0%)

localize13.0ms (0%)

rewrite109.0ms (0.2%)

series1.9s (3.9%)

simplify99.0ms (0.2%)

prune642.0ms (1.3%)

localize15.0ms (0%)

rewrite115.0ms (0.2%)

series1.6s (3.4%)

simplify104.0ms (0.2%)

prune625.0ms (1.3%)

localize14.0ms (0%)

rewrite1.3s (2.6%)

series1.4s (3%)

simplify2.1s (4.5%)

prune32.8s (68.7%)

localize17.0ms (0%)

rewrite120.0ms (0.3%)

series1.6s (3.4%)

simplify113.0ms (0.2%)

prune664.0ms (1.4%)

regimes268.0ms (0.6%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.7s (3.6%)

Profiling