Details

analyze273.0ms (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)

sample34.0ms (0.5%)

Algorithm

1×

intervals

Results

12.0ms	244×	body	128	valid
9.0ms	285×	pre	128	true
1.0ms	29×	body	128	nan
1.0ms	12×	body	256	valid

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify453.0ms (6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (291.0ms)

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: 29.0b

Counts

2 → 1

Compiler

Compiled 66 to 54 computations (18.2% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 3 a) c)
0.2b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
0.4b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
28.8b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))

rewrite41.0ms (0.5%)

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))

series459.0ms (6.1%)

Counts

4 → 12

Calls

4 calls:

227.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
139.0ms	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
64.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
29.0ms	(.f64 (.f64 3 a) c)

simplify60.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5018	1664

prune202.0ms (2.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	79	6	85
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	6	86

Merged error: 0.4b

Counts

86 → 6

Compiler

Compiled 3915 to 2581 computations (34.1% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 3 a) c)
0.2b	(-.f64 (.f64 b b) (.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)))))
0.4b	(/.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 (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

50×	`add-cbrt-cube_binary64_1835` `add-exp-log_binary64_1837`
34×	`times-frac_binary64_1805`
27×	`add-sqr-sqrt_binary64_1821` `*-un-lft-identity_binary64_1799`
17×	`div-exp_binary64_1850` `cbrt-undiv_binary64_1833`
16×	`prod-exp_binary64_1848` `cbrt-unprod_binary64_1832`
14×	`associate-/l*_binary64_1744`
11×	`add-cube-cbrt_binary64_1834`
9×	`pow1_binary64_1860`
8×	`associate-/r*_binary64_1743` `difference-of-squares_binary64_1768` `distribute-lft-out--_binary64_1751`
6×	`add-log-exp_binary64_1838` `associate-/r/_binary64_1745`
4×	`sqrt-prod_binary64_1815` `flip--_binary64_1774` `flip3--_binary64_1803` `div-inv_binary64_1796` `distribute-rgt-neg-in_binary64_1757`
3×	`pow-prod-down_binary64_1870` `associate-r_binary64_1739`
2×	`clear-num_binary64_1798` `frac-2neg_binary64_1810`
1×	`sub-neg_binary64_1792` `associate-l_binary64_1740` `diff-log_binary64_1891` `associate-/l/_binary64_1746` `*-commutative_binary64_1730` `cancel-sign-sub-inv_binary64_1765`

Counts

4 → 117

Calls

4 calls:

21.0ms	(/.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))
16.0ms	(/.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 b b) (.f64 (*.f64 3 a) c))

series988.0ms (13.1%)

Counts

4 → 12

Calls

4 calls:

580.0ms	(/.f64 (.f64 (.f64 3 a) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))))
316.0ms	(/.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))
62.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
29.0ms	(.f64 (.f64 3 a) c)

simplify96.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4925	3400
1	4925	3400

prune674.0ms (8.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	117	12	129
Fresh	5	0	5
Picked	1	0	1
Done	0	0	0
Total	123	12	135

Merged error: 0b

Counts

135 → 12

Compiler

Compiled 13808 to 9244 computations (33.1% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite114.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

312×	`times-frac_binary64_1805`
232×	`add-sqr-sqrt_binary64_1821`
223×	`*-un-lft-identity_binary64_1799`
139×	`add-cube-cbrt_binary64_1834`
86×	`associate-r_binary64_1739`
42×	`difference-of-squares_binary64_1768` `distribute-lft-out--_binary64_1751`
27×	`associate-/l*_binary64_1744`
23×	`add-cbrt-cube_binary64_1835` `add-exp-log_binary64_1837`
21×	`sqrt-prod_binary64_1815` `distribute-rgt-neg-in_binary64_1757`
14×	`associate-/r/_binary64_1745`
11×	`pow1_binary64_1860`
9×	`div-inv_binary64_1796`
8×	`flip--_binary64_1774` `flip3--_binary64_1803`
6×	`div-exp_binary64_1850` `add-log-exp_binary64_1838` `prod-exp_binary64_1848` `associate-l_binary64_1740` `cbrt-undiv_binary64_1833` `cbrt-unprod_binary64_1832`
4×	`pow-prod-down_binary64_1870`
3×	`unswap-sqr_binary64_1767` `associate-/r*_binary64_1743`
2×	`*-commutative_binary64_1730`
1×	`sub-neg_binary64_1792` `clear-num_binary64_1798` `frac-2neg_binary64_1810` `associate-*r/_binary64_1741` `diff-log_binary64_1891` `associate-/l/_binary64_1746` `cancel-sign-sub-inv_binary64_1765`

Counts

4 → 263

Calls

4 calls:

42.0ms	(.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)
6.0ms	(.f64 c (.f64 3 a))
5.0ms	(-.f64 (.f64 b b) (.f64 c (*.f64 3 a)))

series849.0ms (11.2%)

Counts

4 → 12

Calls

4 calls:

469.0ms	(/.f64 (/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 3 a)))))) a)
287.0ms	(.f64 a (/.f64 (/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 3 a)))))) a))
65.0ms	(-.f64 (.f64 b b) (.f64 c (*.f64 3 a)))
26.0ms	(.f64 c (.f64 3 a))

simplify127.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

275 → 275

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5166	9506

prune669.0ms (8.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	272	3	275
Fresh	4	7	11
Picked	1	0	1
Done	0	0	0
Total	277	10	287

Merged error: 0b

Counts

287 → 10

Compiler

Compiled 15127 to 8461 computations (44.1% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

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:

13.0ms	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 3 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))
5.0ms	(-.f64 (.f64 b b) (.f64 c (*.f64 3 a)))

series576.0ms (7.6%)

Counts

4 → 12

Calls

4 calls:

351.0ms	(/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 3 a))))))
135.0ms	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 3 a)))))
63.0ms	(-.f64 (.f64 b b) (.f64 c (*.f64 3 a)))
27.0ms	(.f64 c (.f64 3 a))

simplify81.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4927	2689
1	4927	2689

prune278.0ms (3.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	110	10	120

Merged error: 0b

Counts

120 → 10

Compiler

Compiled 5613 to 3597 computations (35.9% saved)

regimes111.0ms (1.5%)

Compiler: Compiled 1200 to 888 computations (26% 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%)

sample1.3s (17.2%)

Algorithm

1×

intervals

Results

406.0ms	7669×	body	128	valid
302.0ms	8970×	pre	128	true
49.0ms	970×	body	128	nan
33.0ms	331×	body	256	valid

Compiler

Compiled 342 to 254 computations (25.7% saved)

Details

analyze273.0ms (3.6%)

sample34.0ms (0.5%)

simplify453.0ms (6%)

prune6.0ms (0.1%)

localize11.0ms (0.1%)

rewrite41.0ms (0.5%)

series459.0ms (6.1%)

simplify60.0ms (0.8%)

prune202.0ms (2.7%)

localize12.0ms (0.2%)

rewrite62.0ms (0.8%)

series988.0ms (13.1%)

simplify96.0ms (1.3%)

prune674.0ms (8.9%)

localize13.0ms (0.2%)

rewrite114.0ms (1.5%)

series849.0ms (11.2%)

simplify127.0ms (1.7%)

prune669.0ms (8.9%)

localize12.0ms (0.2%)

rewrite46.0ms (0.6%)

series576.0ms (7.6%)

simplify81.0ms (1.1%)

prune278.0ms (3.7%)

regimes111.0ms (1.5%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.3s (17.2%)

Profiling