Details

analyze261.0ms (3.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1
0%	0%	100%	2
0%	0%	100%	3
0%	0%	100%	4
0%	0%	100%	5
0%	0%	100%	6
0%	0%	100%	7
0%	0%	100%	8
0%	0%	100%	9
0%	0%	100%	10
0%	0%	100%	11
0%	0%	100%	12
0%	0%	100%	13
0%	0%	100%	14

Compiler

Compiled 30 to 24 computations (20% saved)

sample44.0ms (0.6%)

Algorithm

1×

intervals

Results

14.0ms	121×	body	256	valid
9.0ms	290×	pre	128	true
5.0ms	100×	body	128	valid
5.0ms	35×	body	512	valid
2.0ms	34×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify458.0ms (6.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (295.0ms)

Iter	Nodes	Cost
0	1706	24
1	1706	24

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

Merged error: 51.7b

Counts

2 → 1

Compiler

Compiled 66 to 54 computations (18.2% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
0.2b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
0.2b	(.f64 (.f64 3 a) c)
30.7b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))

rewrite41.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64_1799`
14×	`add-cbrt-cube_binary64_1835` `add-exp-log_binary64_1837`
10×	`add-log-exp_binary64_1838`
9×	`pow1_binary64_1860`
7×	`add-sqr-sqrt_binary64_1821` `add-cube-cbrt_binary64_1834`
6×	`distribute-lft-out_binary64_1750`
5×	`associate-/l*_binary64_1744` `times-frac_binary64_1805`
4×	`prod-exp_binary64_1848` `cbrt-unprod_binary64_1832`
3×	`pow-prod-down_binary64_1870` `distribute-rgt-neg-in_binary64_1757` `associate-r_binary64_1739`
2×	`sum-log_binary64_1890` `div-exp_binary64_1850` `neg-sub0_binary64_1794` `cbrt-undiv_binary64_1833` `associate-/l/_binary64_1746` `flip3-+_binary64_1802` `associate-+l-_binary64_1734` `flip-+_binary64_1773`
1×	`div-sub_binary64_1804` `sub-neg_binary64_1792` `clear-num_binary64_1798` `+-commutative_binary64_1729` `frac-2neg_binary64_1810` `associate-/r_binary64_1743` `associate-l_binary64_1740` `diff-log_binary64_1891` `flip--_binary64_1774` `flip3--_binary64_1803` `-commutative_binary64_1730` `div-inv_binary64_1796` `neg-log_binary64_1892` `cancel-sign-sub-inv_binary64_1765`

Counts

4 → 73

Calls

4 calls:

14.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
10.0ms	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
6.0ms	(.f64 (.f64 3 a) c)
5.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

series464.0ms (6.5%)

Counts

4 → 12

Calls

4 calls:

222.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
143.0ms	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
68.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
31.0ms	(.f64 (.f64 3 a) c)

simplify58.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5018	1664

prune126.0ms (1.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	3	86

Merged error: 0.1b

Counts

86 → 3

Compiler

Compiled 2469 to 1549 computations (37.3% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 3 a) c)
0.2b	(.f64 (.f64 3 a) c)
0.3b	(/.f64 (.f64 (.f64 3 a) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))))
0.3b	(/.f64 (/.f64 (.f64 (.f64 3 a) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))))) (.f64 3 a))

rewrite62.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

55×	`add-cbrt-cube_binary64_1835` `add-exp-log_binary64_1837`
34×	`times-frac_binary64_1805`
28×	`add-sqr-sqrt_binary64_1821` `*-un-lft-identity_binary64_1799`
19×	`prod-exp_binary64_1848` `cbrt-unprod_binary64_1832`
17×	`div-exp_binary64_1850` `cbrt-undiv_binary64_1833`
14×	`pow1_binary64_1860` `associate-/l*_binary64_1744`
12×	`add-cube-cbrt_binary64_1834`
8×	`associate-/r*_binary64_1743` `difference-of-squares_binary64_1768` `distribute-lft-out--_binary64_1751`
6×	`associate-/r/_binary64_1745` `pow-prod-down_binary64_1870` `associate-r_binary64_1739`
4×	`add-log-exp_binary64_1838` `sqrt-prod_binary64_1815` `div-inv_binary64_1796` `distribute-rgt-neg-in_binary64_1757`
3×	`flip--_binary64_1774` `flip3--_binary64_1803`
2×	`clear-num_binary64_1798` `frac-2neg_binary64_1810` `associate-l_binary64_1740` `*-commutative_binary64_1730`
1×	`associate-/l/_binary64_1746`

Counts

4 → 123

Calls

4 calls:

20.0ms	(/.f64 (/.f64 (.f64 (.f64 3 a) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))))) (.f64 3 a))
15.0ms	(/.f64 (.f64 (.f64 3 a) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))))
6.0ms	(.f64 (.f64 3 a) c)
5.0ms	(.f64 (.f64 3 a) c)

series781.0ms (10.9%)

Counts

4 → 12

Calls

4 calls:

401.0ms	(/.f64 (.f64 (.f64 3 a) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))))
318.0ms	(/.f64 (/.f64 (.f64 (.f64 3 a) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))))) (.f64 3 a))
34.0ms	(.f64 (.f64 3 a) c)
28.0ms	(.f64 (.f64 3 a) c)

simplify93.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5013	3312

prune368.0ms (5.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	129	6	135
Fresh	1	1	2
Picked	1	0	1
Done	0	0	0
Total	131	7	138

Merged error: 0b

Counts

138 → 7

Compiler

Compiled 7618 to 4923 computations (35.4% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 3 a))))))
0.2b	(.f64 c (.f64 3 a))
0.3b	(/.f64 (/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 3 a)))))) a)
0.3b	(.f64 a (/.f64 (/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 3 a)))))) a))

rewrite131.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

333×	`times-frac_binary64_1805`
260×	`add-sqr-sqrt_binary64_1821`
251×	`*-un-lft-identity_binary64_1799`
151×	`add-cube-cbrt_binary64_1834`
86×	`associate-r_binary64_1739`
50×	`difference-of-squares_binary64_1768` `distribute-lft-out--_binary64_1751`
30×	`associate-/l*_binary64_1744`
25×	`sqrt-prod_binary64_1815` `add-cbrt-cube_binary64_1835` `add-exp-log_binary64_1837` `distribute-rgt-neg-in_binary64_1757`
16×	`associate-/r/_binary64_1745`
11×	`pow1_binary64_1860`
10×	`associate-/r*_binary64_1743` `div-inv_binary64_1796`
8×	`flip--_binary64_1774` `flip3--_binary64_1803`
7×	`div-exp_binary64_1850` `cbrt-undiv_binary64_1833`
6×	`prod-exp_binary64_1848` `associate-l_binary64_1740` `cbrt-unprod_binary64_1832`
4×	`add-log-exp_binary64_1838` `pow-prod-down_binary64_1870`
3×	`unswap-sqr_binary64_1767`
2×	`clear-num_binary64_1798` `frac-2neg_binary64_1810` `*-commutative_binary64_1730`
1×	`associate-*r/_binary64_1741` `associate-/l/_binary64_1746`

Counts

4 → 296

Calls

4 calls:

41.0ms	(.f64 a (/.f64 (/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 3 a)))))) a))
18.0ms	(/.f64 (/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 3 a)))))) a)
12.0ms	(/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 3 a))))))
6.0ms	(.f64 c (.f64 3 a))

series1.2s (16.5%)

Counts

4 → 12

Calls

4 calls:

483.0ms	(/.f64 (/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 3 a)))))) a)
363.0ms	(/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 3 a))))))
309.0ms	(.f64 a (/.f64 (/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 3 a)))))) a))
29.0ms	(.f64 c (.f64 3 a))

simplify149.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

308 → 308

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4933	10824
1	4933	10824

prune549.0ms (7.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	306	2	308
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	309	6	315

Merged error: 0b

Counts

315 → 6

Compiler

Compiled 11900 to 5903 computations (50.4% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 3)))))
0.1b	(-.f64 (.f64 b b) (.f64 c (*.f64 a 3)))
0.1b	(/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 3))))))
0.2b	(.f64 c (.f64 a 3))

rewrite46.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`add-sqr-sqrt_binary64_1821` `*-un-lft-identity_binary64_1799`
21×	`times-frac_binary64_1805`
19×	`add-cube-cbrt_binary64_1834`
11×	`add-cbrt-cube_binary64_1835` `add-exp-log_binary64_1837`
10×	`add-log-exp_binary64_1838` `difference-of-squares_binary64_1768` `distribute-lft-out--_binary64_1751`
9×	`pow1_binary64_1860`
8×	`sqrt-prod_binary64_1815`
7×	`associate-/r*_binary64_1743` `cancel-sign-sub-inv_binary64_1765`
5×	`distribute-rgt-neg-in_binary64_1757`
3×	`associate-/l_binary64_1744` `prod-exp_binary64_1848` `associate-l*_binary64_1740` `diff-log_binary64_1891` `flip--_binary64_1774` `flip3--_binary64_1803` `cbrt-unprod_binary64_1832` `pow-prod-down_binary64_1870`
2×	`sub-neg_binary64_1792` `associate-/r/_binary64_1745`
1×	`clear-num_binary64_1798` `div-exp_binary64_1850` `neg-sub0_binary64_1794` `frac-2neg_binary64_1810` `cbrt-undiv_binary64_1833` `-commutative_binary64_1730` `div-inv_binary64_1796` `neg-log_binary64_1892` `associate--l-_binary64_1737` `associate-r*_binary64_1739`

Counts

4 → 98

Calls

4 calls:

12.0ms	(/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 3))))))
11.0ms	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 3)))))
8.0ms	(.f64 c (.f64 a 3))
5.0ms	(-.f64 (.f64 b b) (.f64 c (*.f64 a 3)))

series567.0ms (7.9%)

Counts

4 → 12

Calls

4 calls:

353.0ms	(/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 3))))))
123.0ms	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 a 3)))))
60.0ms	(-.f64 (.f64 b b) (.f64 c (*.f64 a 3)))
30.0ms	(.f64 c (.f64 a 3))

simplify82.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5087	2689

prune171.0ms (2.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	108	2	110
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	110	6	116

Merged error: 0b

Counts

116 → 6

Compiler

Compiled 3665 to 2174 computations (40.7% saved)

regimes84.0ms (1.2%)

Compiler: Compiled 793 to 601 computations (24.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	81	23
1	81	23

end0.0ms (0%)

sample1.4s (19.6%)

Algorithm

1×

intervals

Results

368.0ms	3791×	body	256	valid
263.0ms	8781×	pre	128	true
208.0ms	1431×	body	512	valid
140.0ms	2778×	body	128	valid
36.0ms	781×	body	128	nan

Compiler

Compiled 210 to 160 computations (23.8% saved)

Details

analyze261.0ms (3.6%)

sample44.0ms (0.6%)

simplify458.0ms (6.4%)

prune6.0ms (0.1%)

localize13.0ms (0.2%)

rewrite41.0ms (0.6%)

series464.0ms (6.5%)

simplify58.0ms (0.8%)

prune126.0ms (1.8%)

localize14.0ms (0.2%)

rewrite62.0ms (0.9%)

series781.0ms (10.9%)

simplify93.0ms (1.3%)

prune368.0ms (5.1%)

localize13.0ms (0.2%)

rewrite131.0ms (1.8%)

series1.2s (16.5%)

simplify149.0ms (2.1%)

prune549.0ms (7.6%)

localize12.0ms (0.2%)

rewrite46.0ms (0.6%)

series567.0ms (7.9%)

simplify82.0ms (1.1%)

prune171.0ms (2.4%)

regimes84.0ms (1.2%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.4s (19.6%)

Profiling