Details

analyze153.0ms (15.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	20
1	45	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
40.6%	59.3%	0.1%	6
53.1%	45.3%	1.7%	7
64%	31.2%	4.8%	8
70.2%	21.9%	7.9%	9
75.7%	15.2%	9.1%	10
78.8%	10.5%	10.6%	11
81.6%	7.5%	10.9%	12
83.1%	5.2%	11.7%	13
84.5%	3.7%	11.8%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample12.0ms (1.2%)

Algorithm

1×

intervals

Results

5.0ms

256×

body

128

valid

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify8.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	45	10
1	45	10

prune2.0ms (0.2%)

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 14 to 10 computations (28.6% saved)

localize4.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

rewrite5.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_2504`
1×	`flip3-+_binary64_2468` `*-un-lft-identity_binary64_2465` `+-commutative_binary64_2395` `sum-log_binary64_2556` `flip-+_binary64_2439` `add-cube-cbrt_binary64_2500` `add-exp-log_binary64_2503` `add-sqr-sqrt_binary64_2487` `add-cbrt-cube_binary64_2501` `pow1_binary64_2526`

Counts

1 → 11

Calls

1 calls:

4.0ms

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

series22.0ms (2.3%)

Counts

1 → 3

Calls

1 calls:

22.0ms

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

simplify63.0ms (6.5%)

Algorithm

1×	egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5055	154

prune13.0ms (1.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	2	15

Error

Counts

15 → 2

Compiler

Compiled 175 to 63 computations (64% saved)

localize6.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (*.f64 x y))
0.0b	(sqrt.f64 (+.f64 x (*.f64 x y)))
0.0b	(sqrt.f64 (+.f64 x (*.f64 x y)))
0.2b	(.f64 (sqrt.f64 (+.f64 x (.f64 x y))) (sqrt.f64 (+.f64 x (*.f64 x y))))

rewrite27.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64_2487`
24×	`sqrt-prod_binary64_2481`
21×	`pow1_binary64_2526`
16×	`sqrt-div_binary64_2482`
14×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500`
10×	`pow1/2_binary64_2545` `sqrt-pow1_binary64_2483`
9×	`flip3-+_binary64_2468` `flip-+_binary64_2439`
8×	`swap-sqr_binary64_2432`
6×	`add-log-exp_binary64_2504` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `associate-r_binary64_2405` `associate-l_binary64_2406`
5×	`pow-prod-up_binary64_2535`
4×	`frac-times_binary64_2475` `unswap-sqr_binary64_2433` `rem-sqrt-square_binary64_2478`
3×	`pow-prod-down_binary64_2536` `pow-sqr_binary64_2438`
2×	`associate-l/_binary64_2408` `associate-r/_binary64_2407`
1×	`sqr-abs_binary64_2480` `*-commutative_binary64_2396` `+-commutative_binary64_2395` `pow-plus_binary64_2528` `sum-log_binary64_2556` `sqrt-unprod_binary64_2485` `rem-square-sqrt_binary64_2477` `pow2_binary64_2546` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`

Counts

4 → 99

Calls

4 calls:

10.0ms	(.f64 (sqrt.f64 (+.f64 x (.f64 x y))) (sqrt.f64 (+.f64 x (*.f64 x y))))
3.0ms	(+.f64 x (*.f64 x y))
3.0ms	(sqrt.f64 (+.f64 x (*.f64 x y)))
3.0ms	(sqrt.f64 (+.f64 x (*.f64 x y)))

series95.0ms (9.9%)

Counts

4 → 12

Calls

4 calls:

25.0ms	(sqrt.f64 (+.f64 x (*.f64 x y)))
25.0ms	(sqrt.f64 (+.f64 x (*.f64 x y)))
24.0ms	(.f64 (sqrt.f64 (+.f64 x (.f64 x y))) (sqrt.f64 (+.f64 x (*.f64 x y))))
21.0ms	(+.f64 x (*.f64 x y))

simplify50.0ms (5.1%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	4973	1501
1	4973	1501

prune70.0ms (7.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	111	2	113

Error

Counts

113 → 2

Compiler

Compiled 2001 to 420 computations (79% saved)

regimes28.0ms (2.9%)

Accuracy

Total 0.0b remaining (15.9%)

Threshold costs 0.0b (15.9%)

Compiler

Compiled 114 to 78 computations (31.6% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	10
1	9	10

Compiler

Compiled 14 to 10 computations (28.6% saved)

end0.0ms (0%)

sample405.0ms (42%)

Algorithm

1×

intervals

Results

173.0ms	7999×	body	128	valid
2.0ms	87×	body	128	invalid
0.0ms	1×	body	1024	valid

Compiler

Compiled 47 to 33 computations (29.8% saved)

Details

analyze153.0ms (15.8%)

sample12.0ms (1.2%)

simplify8.0ms (0.8%)

prune2.0ms (0.2%)

localize4.0ms (0.4%)

rewrite5.0ms (0.5%)

series22.0ms (2.3%)

simplify63.0ms (6.5%)

prune13.0ms (1.3%)

localize6.0ms (0.7%)

rewrite27.0ms (2.7%)

series95.0ms (9.9%)

simplify50.0ms (5.1%)

prune70.0ms (7.3%)

regimes28.0ms (2.9%)

bsearch0.0ms (0%)

simplify4.0ms (0.4%)

end0.0ms (0%)

sample405.0ms (42%)

Profiling