Details

analyze9.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
50%	12.5%	37.5%	5
50%	6.2%	43.8%	6
50%	3.1%	46.9%	7
50%	1.6%	48.5%	8
50%	0.8%	49.2%	9
50.4%	0.4%	49.2%	10
50.4%	0.2%	49.4%	11
50.4%	0.1%	49.5%	12
50.4%	0%	49.6%	13
50.4%	0%	49.6%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample108.0ms (1.6%)

Algorithm

1×

intervals

Results

79.0ms	138×	body	2048	valid
17.0ms	70×	body	1024	valid
4.0ms	26×	body	512	valid
1.0ms	15×	body	256	valid
0.0ms	7×	body	128	valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify238.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	5087	13

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 28.5b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (exp.f64 x) 2)
2.6b	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))

rewrite17.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64_1799`
9×	`add-log-exp_binary64_1838`
6×	`add-sqr-sqrt_binary64_1821` `cancel-sign-sub-inv_binary64_1765`
4×	`add-cube-cbrt_binary64_1834` `associate-+l+_binary64_1732` `frac-add_binary64_1807`
3×	`flip--_binary64_1774` `flip3--_binary64_1803`
2×	`pow1_binary64_1860` `exp-diff_binary64_1847` `sum-log_binary64_1890` `sub-neg_binary64_1792` `neg-sub0_binary64_1794` `diff-log_binary64_1891` `add-cbrt-cube_binary64_1835` `exp-neg_binary64_1846` `add-exp-log_binary64_1837` `distribute-lft-out_binary64_1750` `distribute-lft-out--_binary64_1751`
1×	`+-commutative_binary64_1729` `difference-of-squares_binary64_1768` `flip3-+_binary64_1802` `associate-+l-_binary64_1734` `flip-+_binary64_1773`

Counts

2 → 39

Calls

2 calls:

10.0ms	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
5.0ms	(-.f64 (exp.f64 x) 2)

series72.0ms (1.1%)

Counts

2 → 6

Calls

2 calls:

57.0ms	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
15.0ms	(-.f64 (exp.f64 x) 2)

simplify59.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4904	654
1	4904	654

prune81.0ms (1.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	42	3	45
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	43	3	46

Merged error: 0.1b

Counts

46 → 3

Compiler

Compiled 1174 to 734 computations (37.5% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/12 (pow.f64 x 4)))
0.0b	(*.f64 1/360 (pow.f64 x 6))
0.1b	(*.f64 1/12 (pow.f64 x 4))

rewrite23.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64_1821`
14×	`associate-r_binary64_1739`
13×	`add-exp-log_binary64_1837`
9×	`add-cube-cbrt_binary64_1834` `*-un-lft-identity_binary64_1799`
8×	`unpow-prod-down_binary64_1878`
7×	`add-cbrt-cube_binary64_1835`
6×	`prod-exp_binary64_1848` `unswap-sqr_binary64_1767` `associate-l_binary64_1740`
5×	`add-log-exp_binary64_1838`
4×	`sqr-pow_binary64_1771`
3×	`pow1_binary64_1860`
2×	`pow-to-exp_binary64_1868` `cbrt-unprod_binary64_1832` `pow-exp_binary64_1867` `*-commutative_binary64_1730`
1×	`sum-log_binary64_1890` `+-commutative_binary64_1729` `flip3-+_binary64_1802` `flip-+_binary64_1773`

Counts

3 → 61

Calls

3 calls:

7.0ms	(*.f64 1/12 (pow.f64 x 4))
6.0ms	(*.f64 1/360 (pow.f64 x 6))
6.0ms	(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/12 (pow.f64 x 4)))

series306.0ms (4.5%)

Counts

3 → 9

Calls

3 calls:

198.0ms	(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/12 (pow.f64 x 4)))
58.0ms	(*.f64 1/360 (pow.f64 x 6))
50.0ms	(*.f64 1/12 (pow.f64 x 4))

simplify48.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4913	810
1	4913	810

prune77.0ms (1.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	70	3	73

Merged error: 0.1b

Counts

73 → 3

Compiler

Compiled 1406 to 990 computations (29.6% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 x) (+.f64 -6 (pow.f64 (exp.f64 x) 3)))
0.0b	(.f64 (exp.f64 x) (+.f64 4 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2))))
0.0b	(pow.f64 (exp.f64 x) 3)
2.1b	(+.f64 4 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) (+.f64 -6 (pow.f64 (exp.f64 x) 3)))))

rewrite35.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`*-un-lft-identity_binary64_1799`
12×	`add-sqr-sqrt_binary64_1821`
11×	`add-log-exp_binary64_1838`
10×	`add-cube-cbrt_binary64_1834`
7×	`pow1_binary64_1860` `add-cbrt-cube_binary64_1835`
5×	`add-exp-log_binary64_1837`
4×	`sum-log_binary64_1890` `pow-pow_binary64_1871`
3×	`pow-unpow_binary64_1876` `unpow-prod-down_binary64_1878` `associate-l_binary64_1740` `associate-+r+_binary64_1731` `exp-prod_binary64_1851` `distribute-lft-out_binary64_1750` `flip3-+_binary64_1802` `cube-prod_binary64_1827` `flip-+_binary64_1773` `associate-r_binary64_1739`
2×	`distribute-rgt-in_binary64_1749` `+-commutative_binary64_1729` `distribute-lft-in_binary64_1748` `associate-*r/_binary64_1741`
1×	`cube-mult_binary64_1829` `prod-exp_binary64_1848` `unswap-sqr_binary64_1767` `pow-to-exp_binary64_1868` `unpow3_binary64_1865` `cbrt-unprod_binary64_1832` `pow-exp_binary64_1867` `sqr-pow_binary64_1771` `*-commutative_binary64_1730` `pow-prod-down_binary64_1870` `rem-cube-cbrt_binary64_1822`

Counts

4 → 76

Calls

4 calls:

10.0ms	(+.f64 (exp.f64 x) (+.f64 -6 (pow.f64 (exp.f64 x) 3)))
8.0ms	(.f64 (exp.f64 x) (+.f64 4 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2))))
4.0ms	(+.f64 4 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) (+.f64 -6 (pow.f64 (exp.f64 x) 3)))))
4.0ms	(pow.f64 (exp.f64 x) 3)

series297.0ms (4.4%)

Counts

4 → 12

Calls

4 calls:

122.0ms	(+.f64 4 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) (+.f64 -6 (pow.f64 (exp.f64 x) 3)))))
82.0ms	(.f64 (exp.f64 x) (+.f64 4 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2))))
58.0ms	(+.f64 (exp.f64 x) (+.f64 -6 (pow.f64 (exp.f64 x) 3)))
34.0ms	(pow.f64 (exp.f64 x) 3)

simplify68.0ms (1%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5418	1512

prune154.0ms (2.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	86	2	88
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	87	4	91

Merged error: 0.1b

Counts

91 → 4

Compiler

Compiled 3549 to 2118 computations (40.3% saved)

localize26.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (exp.f64 x) 3)
0.0b	(pow.f64 (exp.f64 x) 3)
0.0b	(pow.f64 (exp.f64 x) 3)
2.0b	(+.f64 64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) (+.f64 -6 (pow.f64 (exp.f64 x) 3)))) 3))

rewrite34.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64_1799`
16×	`add-sqr-sqrt_binary64_1821` `add-cube-cbrt_binary64_1834`
12×	`pow-pow_binary64_1871`
9×	`pow-unpow_binary64_1876` `unpow-prod-down_binary64_1878` `exp-prod_binary64_1851` `cube-prod_binary64_1827`
7×	`pow1_binary64_1860` `add-cbrt-cube_binary64_1835`
6×	`add-log-exp_binary64_1838`
4×	`add-exp-log_binary64_1837`
3×	`cube-mult_binary64_1829` `pow-to-exp_binary64_1868` `unpow3_binary64_1865` `pow-exp_binary64_1867` `sqr-pow_binary64_1771` `rem-cube-cbrt_binary64_1822`
1×	`sum-log_binary64_1890` `+-commutative_binary64_1729` `distribute-lft-out_binary64_1750` `flip3-+_binary64_1802` `flip-+_binary64_1773`

Counts

4 → 90

Calls

4 calls:

6.0ms	(+.f64 64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) (+.f64 -6 (pow.f64 (exp.f64 x) 3)))) 3))
4.0ms	(pow.f64 (exp.f64 x) 3)
4.0ms	(pow.f64 (exp.f64 x) 3)
4.0ms	(pow.f64 (exp.f64 x) 3)

series1.2s (17.4%)

Counts

4 → 12

Calls

4 calls:

1.0s	(+.f64 64 (pow.f64 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) (+.f64 -6 (pow.f64 (exp.f64 x) 3)))) 3))
46.0ms	(pow.f64 (exp.f64 x) 3)
41.0ms	(pow.f64 (exp.f64 x) 3)
39.0ms	(pow.f64 (exp.f64 x) 3)

simplify57.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5024	1196

prune323.0ms (4.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	100	2	102
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	101	5	106

Merged error: 0.1b

Counts

106 → 5

Compiler

Compiled 7444 to 4522 computations (39.3% saved)

regimes23.0ms (0.3%)

Compiler: Compiled 221 to 146 computations (33.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	22
1	17	22

end0.0ms (0%)

sample3.5s (51.7%)

Algorithm

1×

intervals

Results

2.4s	4207×	body	2048	valid
497.0ms	1972×	body	1024	valid
130.0ms	964×	body	512	valid
43.0ms	491×	body	256	valid
16.0ms	366×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 251 to 173 computations (31.1% saved)

Details

analyze9.0ms (0.1%)

sample108.0ms (1.6%)

simplify238.0ms (3.5%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite17.0ms (0.3%)

series72.0ms (1.1%)

simplify59.0ms (0.9%)

prune81.0ms (1.2%)

localize9.0ms (0.1%)

rewrite23.0ms (0.3%)

series306.0ms (4.5%)

simplify48.0ms (0.7%)

prune77.0ms (1.1%)

localize14.0ms (0.2%)

rewrite35.0ms (0.5%)

series297.0ms (4.4%)

simplify68.0ms (1%)

prune154.0ms (2.3%)

localize26.0ms (0.4%)

rewrite34.0ms (0.5%)

series1.2s (17.4%)

simplify57.0ms (0.8%)

prune323.0ms (4.8%)

regimes23.0ms (0.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.5s (51.7%)

Profiling