Details

analyze473.0ms (3.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	74.9%	0.1%	6
25%	68.6%	6.4%	7
31.2%	62.4%	6.4%	8
36.7%	54.6%	8.7%	9
38.2%	48.4%	13.4%	10
42.7%	42.3%	15%	11
47.8%	34.1%	18.1%	12
49.1%	30.3%	20.5%	13
51.9%	25.8%	22.3%	14

Compiler

Compiled 18 to 15 computations (16.7% saved)

sample43.0ms (0.4%)

Algorithm

1×

intervals

Results

8.0ms	164×	body	128	valid
8.0ms	32×	body	2048	valid
5.0ms	15×	body	4096	valid
4.0ms	20×	body	1024	valid
3.0ms	17×	body	512	valid
1.0ms	17×	body	128	invalid
1.0ms	17×	body	128	nan
1.0ms	8×	body	256	valid

Compiler

Compiled 35 to 32 computations (8.6% saved)

simplify407.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (306.0ms)

Iter	Nodes	Cost
0	1802	24
1	1802	24

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

37.7b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 3 a) c)
1.2b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
1.9b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
26.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

rewrite123.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

37.4b

Rules

12×	`add-sqr-sqrt_binary64_1805`
10×	`pow1_binary64_1844`
9×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819` `*-un-lft-identity_binary64_1783`
8×	`add-log-exp_binary64_1822`
7×	`add-cube-cbrt_binary64_1818`
4×	`sqrt-prod_binary64_1799` `cancel-sign-sub-inv_binary64_1749`
3×	`flip3--_binary64_1787` `flip--_binary64_1758` `pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `associate-r_binary64_1723`
2×	`sqrt-div_binary64_1800` `diff-log_binary64_1875` `sub-neg_binary64_1776` `difference-of-squares_binary64_1752`
1×	`pow1/2_binary64_1863` `sqrt-pow1_binary64_1801` `rem-sqrt-square_binary64_1796` `distribute-lft-out--_binary64_1735` `associate-l_binary64_1724` `*-commutative_binary64_1714`

Counts

4 → 62

Calls

4 calls:

8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
6.0ms	(.f64 (.f64 3 a) c)
5.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

Compiler

Compiled 1583 to 924 computations (41.6% saved)

series575.0ms (4.7%)

Error

9.7b

Counts

4 → 58

Calls

4 calls:

172.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
152.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
138.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))
58.0ms	(.f64 (.f64 3 a) c)

Compiler

Compiled 2619 to 1980 computations (24.4% saved)

simplify61.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5017	1804

prune136.0ms (1.1%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	109	11	120
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	109	12	121

Error

9.3b

Counts

121 → 12

Compiler

Compiled 2503 to 1384 computations (44.7% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.9b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))))
2.4b	(/.f64 (/.f64 (.f64 a (.f64 c -3)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c)))))) (.f64 3 a))
8.7b	(/.f64 (.f64 a (.f64 c -3)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))))
26.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))

rewrite222.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

7.2b

Rules

45×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
22×	`times-frac_binary64_1789`
21×	`*-un-lft-identity_binary64_1783`
17×	`div-exp_binary64_1834` `cbrt-undiv_binary64_1817`
13×	`prod-exp_binary64_1832` `cbrt-unprod_binary64_1816`
12×	`add-sqr-sqrt_binary64_1805`
11×	`add-cube-cbrt_binary64_1818` `associate-/l*_binary64_1728`
6×	`add-log-exp_binary64_1822` `associate-/r/_binary64_1729`
5×	`pow1_binary64_1844` `distribute-lft-out_binary64_1734` `associate-/r*_binary64_1727`
4×	`div-inv_binary64_1780` `flip3-+_binary64_1786` `flip-+_binary64_1757`
3×	`sqrt-prod_binary64_1799`
2×	`sqrt-div_binary64_1800` `frac-2neg_binary64_1794` `clear-num_binary64_1782`
1×	`pow1/2_binary64_1863` `sqrt-pow1_binary64_1801` `flip3--_binary64_1787` `flip--_binary64_1758` `rem-sqrt-square_binary64_1796` `associate-/l/_binary64_1730` `sum-log_binary64_1874` `+-commutative_binary64_1713`

Counts

4 → 102

Calls

4 calls:

15.0ms	(/.f64 (/.f64 (.f64 a (.f64 c -3)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c)))))) (.f64 3 a))
13.0ms	(/.f64 (.f64 a (.f64 c -3)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))))
7.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))))
5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))

Compiler

Compiled 3893 to 2136 computations (45.1% saved)

series968.0ms (7.9%)

Error

5.3b

Counts

4 → 69

Calls

4 calls:

319.0ms	(/.f64 (.f64 a (.f64 c -3)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))))
275.0ms	(/.f64 (/.f64 (.f64 a (.f64 c -3)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c)))))) (.f64 3 a))
157.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))))
147.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))

Compiler

Compiled 4225 to 3062 computations (27.5% saved)

simplify102.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4927	4363
1	4927	4363

prune212.0ms (1.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	163	8	171
Fresh	9	1	10
Picked	1	0	1
Done	0	1	1
Total	173	10	183

Error

5.3b

Counts

183 → 10

Compiler

Compiled 4453 to 2404 computations (46% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 1/3 (.f64 1 (/.f64 (.f64 c -3) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c))))))))
1.2b	(-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))
1.9b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))))
26.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))

rewrite128.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

5.3b

Rules

27×	`add-exp-log_binary64_1821`
18×	`add-cbrt-cube_binary64_1819`
15×	`prod-exp_binary64_1832`
10×	`pow1_binary64_1844`
8×	`add-log-exp_binary64_1822` `*-un-lft-identity_binary64_1783` `cbrt-unprod_binary64_1816`
7×	`add-sqr-sqrt_binary64_1805`
6×	`add-cube-cbrt_binary64_1818`
4×	`div-exp_binary64_1834`
3×	`sqrt-prod_binary64_1799` `pow-prod-down_binary64_1854` `1-exp_binary64_1827` `associate-l_binary64_1724`
2×	`flip3--_binary64_1787` `sqrt-div_binary64_1800` `flip--_binary64_1758` `cbrt-undiv_binary64_1817` `associate-*r/_binary64_1725`
1×	`pow1/2_binary64_1863` `sqrt-pow1_binary64_1801` `rem-sqrt-square_binary64_1796` `sum-log_binary64_1874` `flip3-+_binary64_1786` `flip-+_binary64_1757` `distribute-lft-out_binary64_1734` `+-commutative_binary64_1713` `diff-log_binary64_1875` `sub-neg_binary64_1776` `cancel-sign-sub-inv_binary64_1749` `associate-r_binary64_1723` `*-commutative_binary64_1714`

Counts

4 → 65

Calls

4 calls:

15.0ms	(.f64 1/3 (.f64 1 (/.f64 (.f64 c -3) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c))))))))
6.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))))
5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))
5.0ms	(-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))

Compiler

Compiled 2084 to 1251 computations (40% saved)

series808.0ms (6.6%)

Error

5.3b

Counts

4 → 71

Calls

4 calls:

262.0ms	(.f64 1/3 (.f64 1 (/.f64 (.f64 c -3) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c))))))))
170.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))))
168.0ms	(-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))
144.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))

Compiler

Compiled 3757 to 2960 computations (21.2% saved)

simplify77.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4929	2506
1	4929	2506

prune150.0ms (1.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	135	1	136
Fresh	0	8	8
Picked	1	0	1
Done	0	1	1
Total	136	10	146

Error

5.3b

Counts

146 → 10

Compiler

Compiled 2961 to 1759 computations (40.6% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 1 (.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c))))) (/.f64 -1 c)))
1.2b	(-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))
1.9b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))))
26.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))

rewrite132.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

5.3b

Rules

25×	`add-exp-log_binary64_1821`
13×	`add-cbrt-cube_binary64_1819`
9×	`*-un-lft-identity_binary64_1783` `div-exp_binary64_1834`
8×	`pow1_binary64_1844` `add-log-exp_binary64_1822` `add-sqr-sqrt_binary64_1805`
7×	`add-cube-cbrt_binary64_1818`
6×	`prod-exp_binary64_1832`
5×	`associate-/r/_binary64_1729`
4×	`cbrt-undiv_binary64_1817`
3×	`sqrt-prod_binary64_1799` `flip3-+_binary64_1786` `flip-+_binary64_1757` `1-exp_binary64_1827` `rec-exp_binary64_1833` `times-frac_binary64_1789` `associate-/l*_binary64_1728`
2×	`flip3--_binary64_1787` `sqrt-div_binary64_1800` `flip--_binary64_1758` `pow-flip_binary64_1857` `cbrt-unprod_binary64_1816` `frac-times_binary64_1793` `associate-*l/_binary64_1726`
1×	`pow1/2_binary64_1863` `sqrt-pow1_binary64_1801` `rem-sqrt-square_binary64_1796` `sum-log_binary64_1874` `distribute-lft-out_binary64_1734` `+-commutative_binary64_1713` `diff-log_binary64_1875` `sub-neg_binary64_1776` `cancel-sign-sub-inv_binary64_1749` `inv-pow_binary64_1868` `pow-prod-down_binary64_1854` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `div-inv_binary64_1780` `associate-r/_binary64_1725` `associate-/r_binary64_1727`

Counts

4 → 76

Calls

4 calls:

12.0ms	(/.f64 1 (.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c))))) (/.f64 -1 c)))
6.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))))
5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))
5.0ms	(-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))

Compiler

Compiled 2239 to 1259 computations (43.8% saved)

series781.0ms (6.4%)

Error

5.3b

Counts

4 → 71

Calls

4 calls:

260.0ms	(/.f64 1 (.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 a c))))) (/.f64 -1 c)))
161.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))))
153.0ms	(-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))
143.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))

Compiler

Compiled 3487 to 2690 computations (22.9% saved)

simplify93.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4952	2748
1	4952	2748

prune144.0ms (1.2%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	145	2	147
Fresh	1	7	8
Picked	0	1	1
Done	0	1	1
Total	146	11	157

Error

5.3b

Counts

157 → 11

Compiler

Compiled 2934 to 1602 computations (45.4% saved)

regimes2.5s (20.7%)

Accuracy

Total 1.0b remaining (15.3%)

Threshold costs 1.0b (15.3%)

Compiler

Compiled 17507 to 13016 computations (25.7% saved)

bsearch109.0ms (0.9%)

Steps

Iters	Range	Point
7	3.8622264909729945e+150	6.389394486790454e+151	7.893343540885068e+150
11	-2.1426233793324456e-262	-5.1092925433371506e-291	-9.314290514286912e-291
6	-4.4997929301077047e+154	-3.1594893656773063e+153	-3.4636505911042224e+153

Iters

Range

Point

3.8622264909729945e+150

6.389394486790454e+151

7.893343540885068e+150

-2.1426233793324456e-262

-5.1092925433371506e-291

-9.314290514286912e-291

-4.4997929301077047e+154

-3.1594893656773063e+153

-3.4636505911042224e+153

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	149	88
1	149	88

end0.0ms (0%)

sample3.9s (31.7%)

Algorithm

1×

intervals

Results

286.0ms	1120×	body	2048	valid
279.0ms	5197×	body	128	valid
146.0ms	720×	body	1024	valid
131.0ms	426×	body	4096	valid
56.0ms	361×	body	512	valid
32.0ms	654×	body	128	nan
26.0ms	395×	body	128	invalid
21.0ms	176×	body	256	valid

Compiler

Compiled 3391 to 2519 computations (25.7% saved)

Details

analyze473.0ms (3.9%)

sample43.0ms (0.4%)

simplify407.0ms (3.3%)

prune4.0ms (0%)

localize10.0ms (0.1%)

rewrite123.0ms (1%)

series575.0ms (4.7%)

simplify61.0ms (0.5%)

prune136.0ms (1.1%)

localize15.0ms (0.1%)

rewrite222.0ms (1.8%)

series968.0ms (7.9%)

simplify102.0ms (0.8%)

prune212.0ms (1.7%)

localize17.0ms (0.1%)

rewrite128.0ms (1%)

series808.0ms (6.6%)

simplify77.0ms (0.6%)

prune150.0ms (1.2%)

localize14.0ms (0.1%)

rewrite132.0ms (1.1%)

series781.0ms (6.4%)

simplify93.0ms (0.8%)

prune144.0ms (1.2%)

regimes2.5s (20.7%)

bsearch109.0ms (0.9%)

simplify5.0ms (0%)

end0.0ms (0%)

sample3.9s (31.7%)

Profiling