Details

analyze151.0ms (8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	7	20
0	2	2
1	2	2

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%	50%	25.1%	6
25%	31.2%	43.8%	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 8 to 6 computations (25% saved)

sample19.0ms (1%)

Algorithm

1×

intervals

Results

5.0ms

256×

body

128

valid

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify7.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	10
1	7	10

prune2.0ms (0.1%)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite16.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

3×	`add-log-exp_binary64_4550`
1×	`sum-log_binary64_4602` `pow1_binary64_4572` `add-exp-log_binary64_4549` `add-cbrt-cube_binary64_4547` `add-cube-cbrt_binary64_4546` `add-sqr-sqrt_binary64_4533` `flip3-+_binary64_4514` `*-un-lft-identity_binary64_4511` `flip-+_binary64_4485` `+-commutative_binary64_4441`

Counts

1 → 11

Calls

1 calls:

8.0ms

(+.f64 (*.f64 x x) (*.f64 y y))

Compiler

Compiled 178 to 40 computations (77.5% saved)

series92.0ms (4.9%)

Error

0.0b

Counts

1 → 12

Calls

1 calls:

86.0ms

(+.f64 (*.f64 x x) (*.f64 y y))

Compiler

Compiled 162 to 152 computations (6.2% saved)

simplify83.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4921	247
1	4921	247

prune14.0ms (0.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	22	1	23
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	2	24

Error

Counts

24 → 2

Compiler

Compiled 220 to 49 computations (77.7% saved)

localize7.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 y y) (.f64 x x))
0.0b	(.f64 (sqrt.f64 (+.f64 (.f64 y y) (.f64 x x))) (sqrt.f64 (+.f64 (.f64 y y) (*.f64 x x))))
6.5b	(sqrt.f64 (+.f64 (.f64 y y) (.f64 x x)))
6.5b	(sqrt.f64 (+.f64 (.f64 y y) (.f64 x x)))

rewrite114.0ms (6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

30×	`add-sqr-sqrt_binary64_4533`
24×	`sqrt-prod_binary64_4527`
21×	`pow1_binary64_4572`
16×	`sqrt-div_binary64_4528`
14×	`add-cube-cbrt_binary64_4546` `*-un-lft-identity_binary64_4511`
10×	`pow1/2_binary64_4591` `sqrt-pow1_binary64_4529`
9×	`flip3-+_binary64_4514` `flip-+_binary64_4485`
8×	`swap-sqr_binary64_4478`
6×	`add-log-exp_binary64_4550` `add-exp-log_binary64_4549` `add-cbrt-cube_binary64_4547` `associate-l_binary64_4452` `associate-r_binary64_4451`
5×	`pow-prod-up_binary64_4581`
4×	`rem-sqrt-square_binary64_4524` `frac-times_binary64_4521` `unswap-sqr_binary64_4479`
3×	`pow-prod-down_binary64_4582` `pow-sqr_binary64_4484`
2×	`associate-l/_binary64_4454` `associate-r/_binary64_4453`
1×	`pow2_binary64_4592` `pow-plus_binary64_4574` `prod-exp_binary64_4560` `cbrt-unprod_binary64_4544` `sqrt-unprod_binary64_4531` `sqr-abs_binary64_4526` `rem-square-sqrt_binary64_4523` `*-commutative_binary64_4442` `sum-log_binary64_4602` `+-commutative_binary64_4441`

Counts

4 → 99

Calls

4 calls:

14.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 y y) (.f64 x x))) (sqrt.f64 (+.f64 (.f64 y y) (*.f64 x x))))
4.0ms	(+.f64 (.f64 y y) (.f64 x x))
4.0ms	(sqrt.f64 (+.f64 (.f64 y y) (.f64 x x)))
4.0ms	(sqrt.f64 (+.f64 (.f64 y y) (.f64 x x)))

Compiler

Compiled 2841 to 321 computations (88.7% saved)

series415.0ms (21.9%)

Error

Counts

4 → 60

Calls

4 calls:

101.0ms	(sqrt.f64 (+.f64 (.f64 y y) (.f64 x x)))
101.0ms	(sqrt.f64 (+.f64 (.f64 y y) (.f64 x x)))
87.0ms	(+.f64 (.f64 y y) (.f64 x x))
83.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 y y) (.f64 x x))) (sqrt.f64 (+.f64 (.f64 y y) (*.f64 x x))))

Compiler

Compiled 2374 to 1520 computations (36% saved)

simplify69.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4972	2369
1	4972	2369

prune105.0ms (5.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	159	0	159
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	159	2	161

Error

Counts

161 → 2

Compiler

Compiled 2947 to 615 computations (79.1% saved)

regimes73.0ms (3.8%)

Accuracy

Total 0.0b remaining (49.1%)

Threshold costs 0.0b (49.1%)

Compiler

Compiled 420 to 290 computations (31% saved)

bsearch0.0ms (0%)

simplify8.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	10
1	7	10

Compiler

Compiled 14 to 10 computations (28.6% saved)

end0.0ms (0%)

sample716.0ms (37.8%)

Algorithm

1×

intervals

Results

184.0ms	8000×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 93 to 65 computations (30.1% saved)

Details

analyze151.0ms (8%)

sample19.0ms (1%)

simplify7.0ms (0.4%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

rewrite16.0ms (0.9%)

series92.0ms (4.9%)

simplify83.0ms (4.4%)

prune14.0ms (0.7%)

localize7.0ms (0.4%)

rewrite114.0ms (6%)

series415.0ms (21.9%)

simplify69.0ms (3.7%)

prune105.0ms (5.5%)

regimes73.0ms (3.8%)

bsearch0.0ms (0%)

simplify8.0ms (0.4%)

end0.0ms (0%)

sample716.0ms (37.8%)

Profiling