Details

analyze74.0ms (5%)

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%	62.4%	12.6%	6
25%	40.6%	34.4%	7
31.2%	25%	43.8%	8
39%	17.2%	43.8%	9
42.9%	13.3%	43.8%	10
47.2%	9%	43.8%	11
49.4%	6.8%	43.8%	12
51.6%	4.6%	43.8%	13
52.7%	3.5%	43.8%	14

Compiler

Compiled 12 to 9 computations (25% saved)

sample14.0ms (0.9%)

Algorithm

1×

intervals

Results

8.0ms

256×

body

128

valid

Compiler

Compiled 23 to 19 computations (17.4% saved)

simplify164.0ms (11%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	24	13
1	24	13

prune3.0ms (0.2%)

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: 0.0b

Counts

2 → 2

Compiler

Compiled 29 to 22 computations (24.1% saved)

localize7.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x 2) (.f64 x x))
0.0b	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))

rewrite13.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64_7527`
4×	`sum-log_binary64_7579`
2×	`add-cube-cbrt_binary64_7523` `add-exp-log_binary64_7526` `add-cbrt-cube_binary64_7524` `*-un-lft-identity_binary64_7491` `flip-+_binary64_7465` `+-commutative_binary64_7423` `add-sqr-sqrt_binary64_7512` `pow1_binary64_7549` `flip3-+_binary64_7494`
1×	`associate-+l+_binary64_7426` `distribute-lft-out_binary64_7444`

Counts

2 → 25

Calls

2 calls:

7.0ms	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))
4.0ms	(+.f64 (.f64 x 2) (.f64 x x))

series117.0ms (7.8%)

Counts

2 → 6

Calls

2 calls:

74.0ms	(+.f64 (.f64 x 2) (.f64 x x))
43.0ms	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))

simplify69.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4990	439
1	4990	439

prune23.0ms (1.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	31	2	33

Merged error: 0.0b

Counts

33 → 2

Compiler

Compiled 455 to 247 computations (45.7% saved)

localize9.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 x (+.f64 x 2))
0.0b	(+.f64 (.f64 y y) (.f64 x (+.f64 x 2)))
0.2b	(pow.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 x 2))) 3)
35.2b	(cbrt.f64 (pow.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 x 2))) 3))

rewrite29.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`*-un-lft-identity_binary64_7491` `add-sqr-sqrt_binary64_7512`
12×	`add-cube-cbrt_binary64_7523` `cbrt-prod_binary64_7519`
7×	`add-exp-log_binary64_7526` `add-cbrt-cube_binary64_7524` `pow1_binary64_7549`
6×	`add-log-exp_binary64_7527` `cube-prod_binary64_7516` `unpow-prod-down_binary64_7567`
4×	`associate-r_binary64_7433` `cube-div_binary64_7517` `flip-+_binary64_7465` `flip3-+_binary64_7494`
3×	`associate-l_binary64_7434` `pow-unpow_binary64_7565`
2×	`associate-+r+_binary64_7425` `distribute-rgt-in_binary64_7443` `unpow3_binary64_7554` `sqr-pow_binary64_7463` `cube-mult_binary64_7518` `distribute-lft-in_binary64_7442` `associate-*r/_binary64_7435` `cbrt-div_binary64_7520`
1×	`rem-cbrt-cube_binary64_7514` `pow-pow_binary64_7560` `pow1/3_binary64_7570` `pow-exp_binary64_7556` `pow-to-exp_binary64_7557` `unswap-sqr_binary64_7459` `rem-cube-cbrt_binary64_7513` `cbrt-unprod_binary64_7521` `prod-exp_binary64_7537` `pow-prod-down_binary64_7559` `+-commutative_binary64_7423` `*-commutative_binary64_7424` `sum-log_binary64_7579` `distribute-lft-out_binary64_7444`

Counts

4 → 84

Calls

4 calls:

6.0ms	(*.f64 x (+.f64 x 2))
5.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 x 2))) 3))
5.0ms	(pow.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 x 2))) 3)
5.0ms	(+.f64 (.f64 y y) (.f64 x (+.f64 x 2)))

series319.0ms (21.4%)

Counts

4 → 12

Calls

4 calls:

175.0ms	(pow.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 x 2))) 3)
62.0ms	(*.f64 x (+.f64 x 2))
44.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 x 2))) 3))
38.0ms	(+.f64 (.f64 y y) (.f64 x (+.f64 x 2)))

simplify42.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5437	1677

prune83.0ms (5.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	96	2	98

Merged error: 0.0b

Counts

98 → 2

Compiler

Compiled 1696 to 1018 computations (40% saved)

regimes45.0ms (3%)

Compiler: Compiled 161 to 132 computations (18% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	16
1	12	16

end0.0ms (0%)

sample477.0ms (32%)

Algorithm

1×

intervals

Results

252.0ms	8000×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 57 to 45 computations (21.1% saved)

Details

analyze74.0ms (5%)

sample14.0ms (0.9%)

simplify164.0ms (11%)

prune3.0ms (0.2%)

localize7.0ms (0.5%)

rewrite13.0ms (0.9%)

series117.0ms (7.8%)

simplify69.0ms (4.6%)

prune23.0ms (1.5%)

localize9.0ms (0.6%)

rewrite29.0ms (1.9%)

series319.0ms (21.4%)

simplify42.0ms (2.8%)

prune83.0ms (5.6%)

regimes45.0ms (3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample477.0ms (32%)

Profiling