Details

analyze410.0ms (4.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4733	38
1	4733	38
0	2	2
1	2	2

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 (0.3%)

Algorithm

1×

intervals

Results

6.0ms	185×	body	128	valid
5.0ms	39×	body	1024	valid
4.0ms	256×	pre	128	true
2.0ms	22×	body	512	valid
0.0ms	3×	body	2048	valid
0.0ms	7×	body	256	valid

Compiler

Compiled 33 to 29 computations (12.1% saved)

simplify258.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (252.0ms)

Iter	Nodes	Cost
0	5018	19

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

18.3b

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))
2.2b	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)

rewrite119.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

17.5b

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)

series450.0ms (5.1%)

Error

0.1b

Counts

2 → 44

Calls

2 calls:

214.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
148.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))

Compiler

Compiled 3618 to 2927 computations (19.1% saved)

simplify79.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5004	3414

prune150.0ms (1.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	104	5	109
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	105	5	110

Error

0.1b

Counts

110 → 5

Compiler

Compiled 3078 to 1873 computations (39.1% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
0.1b	(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)
2.2b	(+.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)) 1)
12.1b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))

rewrite434.0ms (4.9%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

246×	`*-un-lft-identity_binary64_1783`
125×	`times-frac_binary64_1789`
114×	`add-sqr-sqrt_binary64_1805`
79×	`distribute-lft-out_binary64_1734`
68×	`cbrt-prod_binary64_1814`
62×	`add-cube-cbrt_binary64_1818` `unpow-prod-down_binary64_1862` `cube-prod_binary64_1811`
26×	`difference-of-squares_binary64_1752` `distribute-lft-out--_binary64_1735`
10×	`associate-/r/_binary64_1729`
9×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
6×	`add-log-exp_binary64_1822` `flip3-+_binary64_1786` `flip-+_binary64_1757`
5×	`pow1_binary64_1844` `div-inv_binary64_1780` `associate-/l_binary64_1728` `associate-/r_binary64_1727`
3×	`pow-unpow_binary64_1860`
2×	`cube-div_binary64_1812` `unpow3_binary64_1849` `cube-mult_binary64_1813` `sqr-pow_binary64_1755` `div-exp_binary64_1834` `pow-exp_binary64_1851` `rem-cube-cbrt_binary64_1806` `cbrt-undiv_binary64_1817` `associate-/l/_binary64_1730`
1×	`pow1/3_binary64_1865` `cbrt-div_binary64_1815` `rem-cbrt-cube_binary64_1807` `sum-log_binary64_1874` `+-commutative_binary64_1713` `pow-pow_binary64_1855` `pow-to-exp_binary64_1852` `frac-2neg_binary64_1794` `div-sub_binary64_1788` `clear-num_binary64_1782` `flip3--_binary64_1787` `flip--_binary64_1758`

Counts

4 → 224

Calls

4 calls:

36.0ms	(+.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)) 1)
14.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))
13.0ms	(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)
10.0ms	(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))

Compiler

Compiled 6392 to 4200 computations (34.3% saved)

series1.2s (13.5%)

Error

0.1b

Counts

4 → 90

Calls

4 calls:

407.0ms	(pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)
247.0ms	(+.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3)) 1)
159.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))) 3))
152.0ms	(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))

Compiler

Compiled 8480 to 6981 computations (17.7% saved)

simplify132.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

314 → 314

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5057	10432

prune595.0ms (6.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	314	0	314
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	314	5	319

Error

0.1b

Counts

319 → 5

Compiler

Compiled 9225 to 5914 computations (35.9% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
0.0b	(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))
2.2b	(+.f64 (log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) 1)
5.3b	(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))

rewrite269.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

155×	`*-un-lft-identity_binary64_1783`
75×	`times-frac_binary64_1789`
72×	`add-sqr-sqrt_binary64_1805`
62×	`exp-prod_binary64_1835`
50×	`distribute-lft-out_binary64_1734`
40×	`add-cube-cbrt_binary64_1818`
33×	`log-pow_binary64_1872`
16×	`difference-of-squares_binary64_1752` `distribute-lft-out--_binary64_1735`
6×	`pow1_binary64_1844` `associate-/r/_binary64_1729` `log-prod_binary64_1869` `add-log-exp_binary64_1822` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
5×	`associate-/l_binary64_1728` `associate-/r_binary64_1727`
4×	`flip3-+_binary64_1786` `flip-+_binary64_1757` `div-sub_binary64_1788`
3×	`div-inv_binary64_1780` `exp-diff_binary64_1831` `associate-+l+_binary64_1716`
2×	`log-div_binary64_1870` `associate-/l/_binary64_1730`
1×	`rem-log-exp_binary64_1824` `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` `flip3--_binary64_1787` `flip--_binary64_1758` `rem-exp-log_binary64_1823`

Counts

4 → 153

Calls

4 calls:

23.0ms	(+.f64 (log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) 1)
15.0ms	(exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
13.0ms	(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
10.0ms	(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))

Compiler

Compiled 3942 to 2493 computations (36.8% saved)

series1.1s (12.1%)

Error

0.1b

Counts

4 → 88

Calls

4 calls:

256.0ms	(exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))
239.0ms	(log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))))
236.0ms	(+.f64 (log.f64 (exp.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta))))) 1)
149.0ms	(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 2 beta)))

Compiler

Compiled 7508 to 6097 computations (18.8% saved)

simplify115.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

241 → 241

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4967	6964
1	4967	6964

prune378.0ms (4.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	241	0	241
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	241	5	246

Error

0.1b

Counts

246 → 5

Compiler

Compiled 6910 to 4303 computations (37.7% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite33.0ms (0.4%)

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)

series99.0ms (1.1%)

Error

0.1b

Counts

1 → 9

Calls

1 calls:

93.0ms

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

Compiler

Compiled 236 to 209 computations (11.4% saved)

simplify67.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5423	571

prune33.0ms (0.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	38	0	38
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	38	5	43

Error

0.1b

Counts

43 → 5

Compiler

Compiled 554 to 425 computations (23.3% saved)

regimes636.0ms (7.2%)

Accuracy

Total 0.1b remaining (70.8%)

Threshold costs 0.1b (70.8%)

Compiler

Compiled 7772 to 5853 computations (24.7% saved)

bsearch3.0ms (0%)

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

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	68	115
1	68	115

end0.0ms (0%)

sample2.2s (25.2%)

Algorithm

1×

intervals

Results

197.0ms	5921×	body	128	valid
143.0ms	8000×	pre	128	true
128.0ms	1072×	body	1024	valid
56.0ms	613×	body	512	valid
18.0ms	302×	body	256	valid
18.0ms	92×	body	2048	valid

Compiler

Compiled 1543 to 1152 computations (25.3% saved)

Details

analyze410.0ms (4.7%)

sample30.0ms (0.3%)

simplify258.0ms (2.9%)

prune3.0ms (0%)

localize8.0ms (0.1%)

rewrite119.0ms (1.3%)

series450.0ms (5.1%)

simplify79.0ms (0.9%)

prune150.0ms (1.7%)

localize11.0ms (0.1%)

rewrite434.0ms (4.9%)

series1.2s (13.5%)

simplify132.0ms (1.5%)

prune595.0ms (6.8%)

localize12.0ms (0.1%)

rewrite269.0ms (3.1%)

series1.1s (12.1%)

simplify115.0ms (1.3%)

prune378.0ms (4.3%)

localize6.0ms (0.1%)

rewrite33.0ms (0.4%)

series99.0ms (1.1%)

simplify67.0ms (0.8%)

prune33.0ms (0.4%)

regimes636.0ms (7.2%)

bsearch3.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.2s (25.2%)

Profiling