Details

analyze8.0ms (0.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample25.0ms (1.6%)

Algorithm

1×

intervals

Results

15.0ms

256×

body

128

valid

Compiler

Compiled 23 to 20 computations (13% saved)

simplify145.0ms (9.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	16
1	14	16

prune2.0ms (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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (-.f64 x 1))
0.0b	(/.f64 x (+.f64 x 1))

rewrite17.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`*-un-lft-identity_binary64_1783`
39×	`add-sqr-sqrt_binary64_1805`
33×	`times-frac_binary64_1789`
23×	`add-cube-cbrt_binary64_1818`
11×	`associate-/r*_binary64_1727`
8×	`difference-of-squares_binary64_1752` `add-exp-log_binary64_1821`
6×	`add-cbrt-cube_binary64_1819` `associate-/l*_binary64_1728`
4×	`associate-/r/_binary64_1729` `distribute-lft-out_binary64_1734` `difference-of-sqr-1_binary64_1753` `distribute-lft-out--_binary64_1735`
3×	`div-exp_binary64_1834` `pow1_binary64_1844`
2×	`div-inv_binary64_1780` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `add-log-exp_binary64_1822`
1×	`flip3--_binary64_1787` `inv-pow_binary64_1868` `1-exp_binary64_1827` `flip-+_binary64_1757` `pow-flip_binary64_1857` `flip3-+_binary64_1786` `flip--_binary64_1758` `rec-exp_binary64_1833`

Counts

2 → 82

Calls

2 calls:

6.0ms	(/.f64 1 (-.f64 x 1))
5.0ms	(/.f64 x (+.f64 x 1))

series35.0ms (2.2%)

Counts

2 → 6

Calls

2 calls:

19.0ms	(/.f64 x (+.f64 x 1))
16.0ms	(/.f64 1 (-.f64 x 1))

simplify86.0ms (5.5%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5329	1141

prune90.0ms (5.7%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	88	1	89

Error

Counts

89 → 1

Compiler

Compiled 1504 to 1097 computations (27.1% saved)

localize10.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (+.f64 x -1))
0.0b	(/.f64 x (+.f64 x 1))
0.2b	(pow.f64 (/.f64 1 (+.f64 x -1)) 3)
21.2b	(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x -1)) 3))

rewrite74.0ms (4.7%)

Algorithm

1×	rewrite-expression-head

Rules

101×	`*-un-lft-identity_binary64_1783`
87×	`times-frac_binary64_1789`
77×	`add-sqr-sqrt_binary64_1805`
61×	`add-cube-cbrt_binary64_1818`
48×	`cbrt-prod_binary64_1814`
42×	`unpow-prod-down_binary64_1862` `cube-prod_binary64_1811`
20×	`distribute-lft-out_binary64_1734`
16×	`difference-of-sqr--1_binary64_1754`
15×	`add-exp-log_binary64_1821`
12×	`associate-/r/_binary64_1729`
11×	`add-cbrt-cube_binary64_1819`
9×	`associate-/r*_binary64_1727`
7×	`pow1_binary64_1844`
6×	`associate-/l*_binary64_1728` `flip-+_binary64_1757` `div-inv_binary64_1780` `flip3-+_binary64_1786`
5×	`div-exp_binary64_1834`
4×	`pow-exp_binary64_1851` `add-log-exp_binary64_1822`
3×	`pow-unpow_binary64_1860` `cbrt-undiv_binary64_1817` `pow-pow_binary64_1855`
2×	`inv-pow_binary64_1868` `sqr-pow_binary64_1755` `rem-cube-cbrt_binary64_1806` `cube-mult_binary64_1813` `1-exp_binary64_1827` `unpow3_binary64_1849` `pow-flip_binary64_1857` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `cube-div_binary64_1812` `rec-exp_binary64_1833`
1×	`rem-cbrt-cube_binary64_1807` `cbrt-div_binary64_1815` `pow1/3_binary64_1865` `pow-to-exp_binary64_1852`

Counts

4 → 198

Calls

4 calls:

12.0ms	(pow.f64 (/.f64 1 (+.f64 x -1)) 3)
10.0ms	(/.f64 1 (+.f64 x -1))
10.0ms	(/.f64 x (+.f64 x 1))
9.0ms	(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x -1)) 3))

series63.0ms (4%)

Counts

4 → 12

Calls

4 calls:

25.0ms	(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x -1)) 3))
14.0ms	(/.f64 x (+.f64 x 1))
14.0ms	(pow.f64 (/.f64 1 (+.f64 x -1)) 3)
9.0ms	(/.f64 1 (+.f64 x -1))

simplify95.0ms (6%)

Algorithm

1×	egg-herbie

Counts

210 → 210

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5150	2789

prune286.0ms (18.1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	210	0	210
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	210	1	211

Error

Counts

211 → 1

Compiler

Compiled 3888 to 3022 computations (22.3% saved)

regimes18.0ms (1.1%)

Accuracy

Total 0.0b remaining (47.5%)

Threshold costs 0.0b (47.5%)

Compiler

Compiled 98 to 82 computations (16.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	21
1	16	21

end0.0ms (0%)

sample617.0ms (39.1%)

Algorithm

1×

intervals

Results

308.0ms

8000×

body

128

valid

Compiler

Compiled 63 to 54 computations (14.3% saved)

Details

analyze8.0ms (0.5%)

sample25.0ms (1.6%)

simplify145.0ms (9.2%)

prune2.0ms (0.1%)

localize6.0ms (0.4%)

rewrite17.0ms (1.1%)

series35.0ms (2.2%)

simplify86.0ms (5.5%)

prune90.0ms (5.7%)

localize10.0ms (0.6%)

rewrite74.0ms (4.7%)

series63.0ms (4%)

simplify95.0ms (6%)

prune286.0ms (18.1%)

regimes18.0ms (1.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample617.0ms (39.1%)

Profiling