Details

analyze9.0ms (0.1%)

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 (0.2%)

Algorithm

1×

intervals

Results

15.0ms	256×	body	128	valid
4.0ms	256×	pre	128	true

Compiler

Compiled 77 to 55 computations (28.6% saved)

simplify327.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (235.0ms)

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

Error

1.4b

Counts

2 → 2

Compiler

Compiled 85 to 60 computations (29.4% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))
0.1b	(/.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)))
9.9b	(.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))))
11.7b	(/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))

rewrite105.0ms (0.7%)

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:

26.0ms	(/.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)))
24.0ms	(.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))))
17.0ms	(/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))
15.0ms	(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))

series2.1s (13.4%)

Counts

4 → 78

Calls

4 calls:

1.1s	(/.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)))
487.0ms	(.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))))
358.0ms	(/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))
116.0ms	(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))

Compiler

Compiled 8058 to 6502 computations (19.3% saved)

simplify127.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

236 → 236

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5268	13509

prune926.0ms (6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	227	9	236
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	229	9	238

Error

Counts

238 → 9

Compiler

Compiled 12507 to 8241 computations (34.1% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (+.f64 beta 1) (+.f64 (+.f64 beta alpha) 2))
0.0b	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 beta alpha) 2)) (+.f64 (+.f64 alpha beta) 2))
0.1b	(/.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 beta alpha) 2)) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
9.9b	(*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 beta alpha) 2)) (+.f64 (+.f64 alpha beta) 2)))

rewrite204.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

826×	`*-un-lft-identity_binary64_1783`
508×	`times-frac_binary64_1789`
374×	`distribute-lft-out_binary64_1734`
191×	`add-sqr-sqrt_binary64_1805`
182×	`add-cube-cbrt_binary64_1818`
136×	`associate-r_binary64_1723`
34×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821`
31×	`associate-/l*_binary64_1728`
30×	`associate-/r/_binary64_1729`
20×	`flip-+_binary64_1757` `flip3-+_binary64_1786`
15×	`div-inv_binary64_1780` `associate-/r*_binary64_1727`
14×	`cbrt-undiv_binary64_1817` `div-exp_binary64_1834`
8×	`associate-/l/_binary64_1730`
6×	`cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `pow1_binary64_1844`
4×	`associate-l_binary64_1724` `associate-*l/_binary64_1726` `frac-times_binary64_1793` `add-log-exp_binary64_1822`
3×	`frac-2neg_binary64_1794` `clear-num_binary64_1782` `unswap-sqr_binary64_1751`
2×	`associate-*r/_binary64_1725`
1×	`*-commutative_binary64_1714` `pow-prod-down_binary64_1854`

Counts

4 → 422

Calls

4 calls:

55.0ms	(*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 beta alpha) 2)) (+.f64 (+.f64 alpha beta) 2)))
37.0ms	(/.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 beta alpha) 2)) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
29.0ms	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 beta alpha) 2)) (+.f64 (+.f64 alpha beta) 2))
10.0ms	(/.f64 (+.f64 beta 1) (+.f64 (+.f64 beta alpha) 2))

series2.1s (14%)

Counts

4 → 80

Calls

4 calls:

1.1s	(/.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 beta alpha) 2)) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
490.0ms	(*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 beta alpha) 2)) (+.f64 (+.f64 alpha beta) 2)))
367.0ms	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 beta alpha) 2)) (+.f64 (+.f64 alpha beta) 2))
146.0ms	(/.f64 (+.f64 beta 1) (+.f64 (+.f64 beta alpha) 2))

Compiler

Compiled 8430 to 6777 computations (19.6% saved)

simplify199.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

502 → 502

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5231	22757

prune1.6s (10.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	500	2	502
Fresh	2	6	8
Picked	0	1	1
Done	0	0	0
Total	502	9	511

Error

Counts

511 → 9

Compiler

Compiled 23185 to 14943 computations (35.5% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite112.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

221×	`*-un-lft-identity_binary64_1783`
131×	`times-frac_binary64_1789`
99×	`distribute-lft-out_binary64_1734`
57×	`add-sqr-sqrt_binary64_1805`
52×	`add-cube-cbrt_binary64_1818`
34×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821`
26×	`associate-r_binary64_1723`
20×	`associate-/r/_binary64_1729`
16×	`associate-/l*_binary64_1728`
15×	`flip-+_binary64_1757` `associate-/r*_binary64_1727` `flip3-+_binary64_1786`
14×	`cbrt-undiv_binary64_1817` `div-exp_binary64_1834`
10×	`div-inv_binary64_1780`
8×	`associate-/l/_binary64_1730`
6×	`cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `pow1_binary64_1844`
4×	`associate-l_binary64_1724` `associate-*l/_binary64_1726` `frac-times_binary64_1793` `add-log-exp_binary64_1822`
3×	`frac-2neg_binary64_1794` `clear-num_binary64_1782`
2×	`associate-*r/_binary64_1725` `unswap-sqr_binary64_1751`
1×	`*-commutative_binary64_1714` `pow-prod-down_binary64_1854`

Counts

4 → 221

Calls

4 calls:

30.0ms	(/.f64 (/.f64 (*.f64 (+.f64 alpha 1) (/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha beta) 2))) (+.f64 (+.f64 alpha beta) 2)) (+.f64 alpha (+.f64 beta 3)))
20.0ms	(/.f64 (*.f64 (+.f64 alpha 1) (/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha beta) 2))) (+.f64 (+.f64 alpha beta) 2))
19.0ms	(*.f64 (+.f64 alpha 1) (/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha beta) 2)))
10.0ms	(/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha beta) 2))

series1.9s (12.3%)

Counts

4 → 80

Calls

4 calls:

1.1s	(/.f64 (/.f64 (*.f64 (+.f64 alpha 1) (/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha beta) 2))) (+.f64 (+.f64 alpha beta) 2)) (+.f64 alpha (+.f64 beta 3)))
499.0ms	(/.f64 (*.f64 (+.f64 alpha 1) (/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha beta) 2))) (+.f64 (+.f64 alpha beta) 2))
192.0ms	(*.f64 (+.f64 alpha 1) (/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha beta) 2)))
130.0ms	(/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha beta) 2))

Compiler

Compiled 8054 to 6389 computations (20.7% saved)

simplify147.0ms (1%)

Algorithm

1×	egg-herbie

Counts

301 → 301

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5396	16775

prune858.0ms (5.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	300	1	301
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	301	9	310

Error

Counts

310 → 9

Compiler

Compiled 15077 to 9746 computations (35.4% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 alpha (+.f64 beta 3)))
0.0b	(/.f64 (+.f64 beta 1) (+.f64 (+.f64 beta alpha) 2))
0.0b	(*.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 beta alpha) 2)))
2.2b	(/.f64 (.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 beta alpha) 2))) (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 alpha (+.f64 beta 3))))

rewrite89.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

107×	`*-un-lft-identity_binary64_1783`
45×	`distribute-lft-out_binary64_1734`
42×	`times-frac_binary64_1789`
35×	`add-sqr-sqrt_binary64_1805`
34×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821`
31×	`associate-r_binary64_1723`
28×	`add-cube-cbrt_binary64_1818`
19×	`flip-+_binary64_1757` `flip3-+_binary64_1786`
12×	`associate-/r/_binary64_1729` `frac-times_binary64_1793`
10×	`cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `cbrt-undiv_binary64_1817` `div-exp_binary64_1834`
9×	`associate-l_binary64_1724`
8×	`associate-*l/_binary64_1726` `pow1_binary64_1844`
7×	`associate-/l/_binary64_1730`
6×	`associate-r/_binary64_1725` `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` `distribute-rgt-in_binary64_1733`

Counts

4 → 165

Calls

4 calls:

28.0ms	(/.f64 (.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 beta alpha) 2))) (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 alpha (+.f64 beta 3))))
18.0ms	(*.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 beta alpha) 2)))
13.0ms	(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 alpha (+.f64 beta 3)))
10.0ms	(/.f64 (+.f64 beta 1) (+.f64 (+.f64 beta alpha) 2))

series1.6s (10.3%)

Counts

4 → 78

Calls

4 calls:

1.1s	(/.f64 (.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 beta alpha) 2))) (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 alpha (+.f64 beta 3))))
202.0ms	(*.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 beta alpha) 2)))
147.0ms	(/.f64 (+.f64 beta 1) (+.f64 (+.f64 beta alpha) 2))
131.0ms	(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 alpha (+.f64 beta 3)))

Compiler

Compiled 6648 to 5253 computations (21% saved)

simplify110.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

243 → 243

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5244	11376

prune658.0ms (4.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	242	1	243
Fresh	3	3	6
Picked	1	0	1
Done	0	2	2
Total	246	6	252

Error

Counts

252 → 6

Compiler

Compiled 11207 to 7242 computations (35.4% saved)

regimes303.0ms (2%)

Accuracy

Total 0.1b remaining (90.6%)

Threshold costs 0.1b (90.6%)

Compiler

Compiled 4523 to 3377 computations (25.3% 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%)

sample1.8s (11.7%)

Algorithm

1×

intervals

Results

454.0ms	8000×	body	128	valid
136.0ms	8000×	pre	128	true

Compiler

Compiled 1550 to 1156 computations (25.4% saved)

Details

analyze9.0ms (0.1%)

sample27.0ms (0.2%)

simplify327.0ms (2.1%)

prune5.0ms (0%)

localize16.0ms (0.1%)

rewrite105.0ms (0.7%)

series2.1s (13.4%)

simplify127.0ms (0.8%)

prune926.0ms (6%)

localize15.0ms (0.1%)

rewrite204.0ms (1.3%)

series2.1s (14%)

simplify199.0ms (1.3%)

prune1.6s (10.6%)

localize12.0ms (0.1%)

rewrite112.0ms (0.7%)

series1.9s (12.3%)

simplify147.0ms (1%)

prune858.0ms (5.6%)

localize14.0ms (0.1%)

rewrite89.0ms (0.6%)

series1.6s (10.3%)

simplify110.0ms (0.7%)

prune658.0ms (4.3%)

regimes303.0ms (2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.8s (11.7%)

Profiling