Details

analyze460.0ms (6.3%)

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)

sample40.0ms (0.5%)

Algorithm

1×

intervals

Results

11.0ms	37×	body	2048	valid
9.0ms	176×	body	128	valid
3.0ms	11×	body	4096	valid
3.0ms	15×	body	1024	valid
2.0ms	12×	body	512	valid
1.0ms	22×	body	128	nan
1.0ms	11×	body	128	invalid
0.0ms	5×	body	256	valid

Compiler

Compiled 35 to 32 computations (8.6% saved)

simplify462.0ms (6.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (292.0ms)

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	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 32.6b

Counts

2 → 1

Compiler

Compiled 65 to 53 computations (18.5% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
1.0b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
1.2b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
22.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

rewrite37.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64_1821`
14×	`*-un-lft-identity_binary64_1799`
9×	`add-cbrt-cube_binary64_1835` `add-exp-log_binary64_1837`
8×	`add-cube-cbrt_binary64_1834` `add-log-exp_binary64_1838`
6×	`associate-/l*_binary64_1744` `sqrt-prod_binary64_1815` `difference-of-squares_binary64_1768` `times-frac_binary64_1805`
5×	`pow1_binary64_1860`
4×	`flip--_binary64_1774` `flip3--_binary64_1803` `cancel-sign-sub-inv_binary64_1765`
3×	`distribute-lft-out--_binary64_1751`
2×	`sqrt-div_binary64_1816` `sub-neg_binary64_1792` `div-exp_binary64_1850` `diff-log_binary64_1891` `cbrt-undiv_binary64_1833` `associate-/l/_binary64_1746`
1×	`div-sub_binary64_1804` `clear-num_binary64_1798` `prod-exp_binary64_1848` `frac-2neg_binary64_1810` `associate-/r*_binary64_1743` `pow1/2_binary64_1879` `cbrt-unprod_binary64_1832` `sqrt-pow1_binary64_1817` `div-inv_binary64_1796` `rem-sqrt-square_binary64_1812`

Counts

4 → 74

Calls

4 calls:

13.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
9.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))
5.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

series551.0ms (7.5%)

Counts

4 → 12

Calls

4 calls:

218.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
139.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
123.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))
70.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

simplify90.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4908	1983
1	4908	1983

prune536.0ms (7.3%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	75	11	86
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	75	12	87

Merged error: 5.2b

Counts

87 → 12

Compiler

Compiled 9751 to 6951 computations (28.7% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.3b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
3.7b	(/.f64 (/.f64 (.f64 a (.f64 c -3)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))))) (.f64 3 a))
9.2b	(/.f64 (.f64 a (.f64 c -3)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))))
22.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

rewrite53.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

45×	`add-cbrt-cube_binary64_1835` `add-exp-log_binary64_1837`
22×	`times-frac_binary64_1805`
21×	`*-un-lft-identity_binary64_1799`
17×	`div-exp_binary64_1850` `cbrt-undiv_binary64_1833`
13×	`prod-exp_binary64_1848` `cbrt-unprod_binary64_1832`
12×	`add-sqr-sqrt_binary64_1821`
11×	`add-cube-cbrt_binary64_1834` `associate-/l*_binary64_1744`
6×	`add-log-exp_binary64_1838` `associate-/r/_binary64_1745`
5×	`pow1_binary64_1860` `associate-/r*_binary64_1743` `distribute-lft-out_binary64_1750`
4×	`div-inv_binary64_1796` `flip3-+_binary64_1802` `flip-+_binary64_1773`
3×	`sqrt-prod_binary64_1815`
2×	`sqrt-div_binary64_1816` `clear-num_binary64_1798` `frac-2neg_binary64_1810`
1×	`sum-log_binary64_1890` `+-commutative_binary64_1729` `pow1/2_binary64_1879` `flip--_binary64_1774` `flip3--_binary64_1803` `associate-/l/_binary64_1746` `sqrt-pow1_binary64_1817` `rem-sqrt-square_binary64_1812`

Counts

4 → 102

Calls

4 calls:

16.0ms	(/.f64 (/.f64 (.f64 a (.f64 c -3)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))))) (.f64 3 a))
13.0ms	(/.f64 (.f64 a (.f64 c -3)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))))
7.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

series937.0ms (12.7%)

Counts

4 → 12

Calls

4 calls:

392.0ms	(/.f64 (.f64 a (.f64 c -3)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))))
289.0ms	(/.f64 (/.f64 (.f64 a (.f64 c -3)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))))) (.f64 3 a))
131.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
125.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

simplify62.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5447	3147

prune421.0ms (5.7%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	109	5	114
Fresh	4	6	10
Picked	1	0	1
Done	0	1	1
Total	114	12	126

Merged error: 5.1b

Counts

126 → 12

Compiler

Compiled 8097 to 5680 computations (29.9% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(/.f64 (.f64 c -3) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))))
1.2b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
2.3b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
22.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

rewrite33.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`*-un-lft-identity_binary64_1799`
9×	`add-cbrt-cube_binary64_1835` `add-exp-log_binary64_1837`
8×	`add-sqr-sqrt_binary64_1821` `add-log-exp_binary64_1838`
7×	`add-cube-cbrt_binary64_1834`
5×	`pow1_binary64_1860`
4×	`associate-/r*_binary64_1743` `times-frac_binary64_1805`
3×	`sqrt-prod_binary64_1815` `distribute-lft-out_binary64_1750`
2×	`sqrt-div_binary64_1816` `div-exp_binary64_1850` `flip--_binary64_1774` `associate-/r/_binary64_1745` `flip3--_binary64_1803` `cbrt-undiv_binary64_1833` `flip3-+_binary64_1802` `flip-+_binary64_1773`
1×	`sum-log_binary64_1890` `sub-neg_binary64_1792` `clear-num_binary64_1798` `+-commutative_binary64_1729` `associate-/l*_binary64_1744` `prod-exp_binary64_1848` `frac-2neg_binary64_1810` `pow1/2_binary64_1879` `diff-log_binary64_1891` `cbrt-unprod_binary64_1832` `sqrt-pow1_binary64_1817` `div-inv_binary64_1796` `cancel-sign-sub-inv_binary64_1765` `rem-sqrt-square_binary64_1812`

Counts

4 → 64

Calls

4 calls:

11.0ms	(/.f64 (.f64 c -3) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))))
7.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))
5.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

series641.0ms (8.7%)

Counts

4 → 12

Calls

4 calls:

344.0ms	(/.f64 (.f64 c -3) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))))
118.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
116.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))
62.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

simplify89.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4878	1672
1	4878	1672

prune134.0ms (1.8%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	74	2	76
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	74	14	88

Merged error: 5.1b

Counts

88 → 14

Compiler

Compiled 2701 to 1875 computations (30.6% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(/.f64 1 (.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (/.f64 -1 c)))
1.2b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
2.3b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
22.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

rewrite35.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-exp-log_binary64_1837`
13×	`add-cbrt-cube_binary64_1835`
9×	`div-exp_binary64_1850` `*-un-lft-identity_binary64_1799`
8×	`pow1_binary64_1860` `add-sqr-sqrt_binary64_1821` `add-log-exp_binary64_1838`
7×	`add-cube-cbrt_binary64_1834`
6×	`prod-exp_binary64_1848`
5×	`associate-/r/_binary64_1745`
4×	`cbrt-undiv_binary64_1833`
3×	`associate-/l*_binary64_1744` `rec-exp_binary64_1849` `1-exp_binary64_1843` `sqrt-prod_binary64_1815` `times-frac_binary64_1805` `flip3-+_binary64_1802` `flip-+_binary64_1773`
2×	`sqrt-div_binary64_1816` `pow-flip_binary64_1873` `flip--_binary64_1774` `flip3--_binary64_1803` `cbrt-unprod_binary64_1832` `frac-times_binary64_1809` `associate-*l/_binary64_1742`
1×	`sum-log_binary64_1890` `sub-neg_binary64_1792` `clear-num_binary64_1798` `+-commutative_binary64_1729` `frac-2neg_binary64_1810` `associate-/r_binary64_1743` `pow1/2_binary64_1879` `associate-r/_binary64_1741` `diff-log_binary64_1891` `sqrt-pow1_binary64_1817` `div-inv_binary64_1796` `pow-prod-down_binary64_1870` `distribute-lft-out_binary64_1750` `cancel-sign-sub-inv_binary64_1765` `rem-sqrt-square_binary64_1812` `inv-pow_binary64_1884`

Counts

4 → 76

Calls

4 calls:

13.0ms	(/.f64 1 (.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (/.f64 -1 c)))
7.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.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)))

series585.0ms (7.9%)

Counts

4 → 12

Calls

4 calls:

270.0ms	(/.f64 1 (.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (/.f64 -1 c)))
126.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
126.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))
63.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

simplify75.0ms (1%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4982	1859
1	4982	1859

prune188.0ms (2.6%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	85	3	88
Fresh	3	8	11
Picked	1	0	1
Done	1	1	2
Total	90	12	102

Merged error: 5.1b

Counts

102 → 12

Compiler

Compiled 3453 to 2405 computations (30.4% saved)

regimes288.0ms (3.9%)

Compiler: Compiled 887 to 747 computations (15.8% saved)

bsearch99.0ms (1.3%)

Steps

Iters	Range		Point
7	1.6829726428472436e+90	2.3977742815351362e+92	1.482784977563538e+92
9	-4.115750497675338e-289	-4.034564030640679e-296	-4.701392099071718e-290
9	-1.234844322782e+72	-5.022429926844671e+66	-5.57038506551463e+71

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	116	89
1	116	89

end0.0ms (0%)

sample1.5s (20.1%)

Algorithm

1×

intervals

Results

278.0ms	5223×	body	128	valid
272.0ms	1069×	body	2048	valid
148.0ms	724×	body	1024	valid
147.0ms	428×	body	4096	valid
55.0ms	374×	body	512	valid
32.0ms	654×	body	128	nan
23.0ms	387×	body	128	invalid
18.0ms	182×	body	256	valid

Compiler

Compiled 282 to 224 computations (20.6% saved)

Details

analyze460.0ms (6.3%)

sample40.0ms (0.5%)

simplify462.0ms (6.3%)

prune6.0ms (0.1%)

localize12.0ms (0.2%)

rewrite37.0ms (0.5%)

series551.0ms (7.5%)

simplify90.0ms (1.2%)

prune536.0ms (7.3%)

localize14.0ms (0.2%)

rewrite53.0ms (0.7%)

series937.0ms (12.7%)

simplify62.0ms (0.8%)

prune421.0ms (5.7%)

localize14.0ms (0.2%)

rewrite33.0ms (0.5%)

series641.0ms (8.7%)

simplify89.0ms (1.2%)

prune134.0ms (1.8%)

localize13.0ms (0.2%)

rewrite35.0ms (0.5%)

series585.0ms (7.9%)

simplify75.0ms (1%)

prune188.0ms (2.6%)

regimes288.0ms (3.9%)

bsearch99.0ms (1.3%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.5s (20.1%)

Profiling