Details

analyze386.0ms (18.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	328	20
1	328	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
50%	50%	0.1%	4
50%	50%	0.1%	5
68.7%	31.2%	0.1%	6
71.8%	28.1%	0.1%	7
73.4%	14%	12.6%	8
74.1%	13.3%	12.6%	9
74.5%	6.6%	18.8%	10
74.7%	6.4%	18.8%	11
74.8%	3.2%	22%	12
74.9%	3.2%	22%	13
74.9%	1.6%	23.5%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample17.0ms (0.8%)

Algorithm

1×

intervals

Results

6.0ms	255×	body	128	valid
0.0ms	10×	body	128	invalid
0.0ms	1×	body	256	valid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify24.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (10.0ms)

Iter	Nodes	Cost
0	212	10
1	212	10

prune4.0ms (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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 (*.f64 x x) y)

rewrite19.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

3×	`add-log-exp_binary64` `add-sqr-sqrt_binary64` `cancel-sign-sub-inv_binary64`
2×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
1×	`diff-log_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `difference-of-squares_binary64`

Counts

1 → 15

Calls

1 calls:

6.0ms

(-.f64 (*.f64 x x) y)

Compiler

Compiled 207 to 86 computations (58.5% saved)

series107.0ms (5.1%)

Error

0.0b

Counts

1 → 12

Calls

1 calls:

95.0ms

(-.f64 (*.f64 x x) y)

Compiler

Compiled 186 to 176 computations (5.4% saved)

simplify78.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4953	214
1	4953	214

prune20.0ms (0.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	26	1	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	26	2	28

Error

0.0b

Counts

28 → 2

Compiler

Compiled 251 to 104 computations (58.6% saved)

localize9.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(.f64 1/2 (.f64 (+.f64 x (sqrt.f64 y)) (-.f64 x (sqrt.f64 y))))
0.0b	(-.f64 x (sqrt.f64 y))
0.2b	(*.f64 (+.f64 x (sqrt.f64 y)) (-.f64 x (sqrt.f64 y)))

rewrite160.0ms (7.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

42×	`cancel-sign-sub-inv_binary64`
35×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
30×	`add-sqr-sqrt_binary64`
26×	`*-un-lft-identity_binary64`
23×	`sqrt-prod_binary64`
20×	`add-cube-cbrt_binary64`
12×	`associate-*r/_binary64`
10×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`frac-times_binary64`
7×	`flip3--_binary64` `flip--_binary64` `sub-neg_binary64` `associate-l_binary64` `associate-r_binary64`
6×	`flip3-+_binary64` `flip-+_binary64`
5×	`add-log-exp_binary64`
4×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `associate-*l/_binary64` `difference-of-squares_binary64`
2×	`distribute-lft-out--_binary64` `*-commutative_binary64`
1×	`unswap-sqr_binary64` `distribute-lft-out_binary64` `diff-log_binary64`

Counts

3 → 118

Calls

3 calls:

14.0ms	(.f64 1/2 (.f64 (+.f64 x (sqrt.f64 y)) (-.f64 x (sqrt.f64 y))))
12.0ms	(*.f64 (+.f64 x (sqrt.f64 y)) (-.f64 x (sqrt.f64 y)))
5.0ms	(-.f64 x (sqrt.f64 y))

Compiler

Compiled 2594 to 692 computations (73.3% saved)

series358.0ms (16.9%)

Error

0.0b

Counts

3 → 27

Calls

3 calls:

146.0ms	(*.f64 (+.f64 x (sqrt.f64 y)) (-.f64 x (sqrt.f64 y)))
144.0ms	(.f64 1/2 (.f64 (+.f64 x (sqrt.f64 y)) (-.f64 x (sqrt.f64 y))))
49.0ms	(-.f64 x (sqrt.f64 y))

Compiler

Compiled 649 to 539 computations (16.9% saved)

simplify91.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5060	2286

prune117.0ms (5.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	145	0	145
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	145	2	147

Error

0.0b

Counts

147 → 2

Compiler

Compiled 2217 to 635 computations (71.4% saved)

regimes89.0ms (4.2%)

Accuracy

Total 0.0b remaining (17.8%)

Threshold costs 0.0b (17.8%)

Compiler

Compiled 299 to 294 computations (1.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	10
1	18	10

end0.0ms (0%)

sample638.0ms (30%)

Algorithm

1×

intervals

Results

217.0ms	7999×	body	128	valid
4.0ms	166×	body	128	invalid
0.0ms	1×	body	256	valid

Compiler

Compiled 68 to 67 computations (1.5% saved)

Details

analyze386.0ms (18.2%)

sample17.0ms (0.8%)

simplify24.0ms (1.1%)

prune4.0ms (0.2%)

localize6.0ms (0.3%)

rewrite19.0ms (0.9%)

series107.0ms (5.1%)

simplify78.0ms (3.6%)

prune20.0ms (0.9%)

localize9.0ms (0.4%)

rewrite160.0ms (7.5%)

series358.0ms (16.9%)

simplify91.0ms (4.3%)

prune117.0ms (5.5%)

regimes89.0ms (4.2%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample638.0ms (30%)

Profiling