Details

analyze60.0ms (4.9%)

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
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%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify169.0ms (13.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	27	10
1	27	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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize5.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

rewrite15.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64_2809`
4×	`sum-log_binary64_2861` `*-un-lft-identity_binary64_2773`
2×	`add-exp-log_binary64_2808` `pow1_binary64_2831` `flip3-+_binary64_2776` `add-cube-cbrt_binary64_2805` `add-cbrt-cube_binary64_2806` `add-sqr-sqrt_binary64_2794` `+-commutative_binary64_2705` `flip-+_binary64_2747`
1×	`distribute-lft-out_binary64_2726` `associate-+l+_binary64_2708`

Counts

2 → 25

Calls

2 calls:

8.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)
5.0ms	(+.f64 (*.f64 x y) x)

series76.0ms (6.1%)

Counts

2 → 6

Calls

2 calls:

44.0ms	(+.f64 (*.f64 x y) x)
32.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)

simplify59.0ms (4.8%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4995	394
1	4995	394

prune19.0ms (1.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	2	32

Merged error: 0.0b

Counts

32 → 2

Compiler

Compiled 378 to 98 computations (74.1% saved)

localize7.0ms (0.6%)

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))))

rewrite30.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64_2794`
24×	`sqrt-prod_binary64_2788`
21×	`pow1_binary64_2831`
16×	`sqrt-div_binary64_2789`
14×	`add-cube-cbrt_binary64_2805` `*-un-lft-identity_binary64_2773`
10×	`sqrt-pow1_binary64_2790` `pow1/2_binary64_2850`
9×	`flip3-+_binary64_2776` `flip-+_binary64_2747`
8×	`swap-sqr_binary64_2740`
6×	`add-exp-log_binary64_2808` `associate-l_binary64_2716` `add-cbrt-cube_binary64_2806` `associate-r_binary64_2715` `add-log-exp_binary64_2809`
5×	`pow-prod-up_binary64_2840`
4×	`unswap-sqr_binary64_2741` `frac-times_binary64_2783`
3×	`pow-sqr_binary64_2746` `pow-prod-down_binary64_2841`
2×	`associate-r/_binary64_2717` `associate-l/_binary64_2718` `rem-sqrt-square_binary64_2786`
1×	`cbrt-unprod_binary64_2803` `rem-square-sqrt_binary64_2785` `sqrt-unprod_binary64_2792` `sum-log_binary64_2861` `*-commutative_binary64_2706` `pow2_binary64_2851` `prod-exp_binary64_2819` `pow-plus_binary64_2833` `+-commutative_binary64_2705`

Counts

4 → 98

Calls

4 calls:

12.0ms	(.f64 (sqrt.f64 (+.f64 x (.f64 x y))) (sqrt.f64 (+.f64 x (*.f64 x y))))
3.0ms	(sqrt.f64 (+.f64 x (*.f64 x y)))
3.0ms	(+.f64 x (*.f64 x y))
3.0ms	(sqrt.f64 (+.f64 x (*.f64 x y)))

series193.0ms (15.6%)

Counts

4 → 12

Calls

4 calls:

57.0ms	(.f64 (sqrt.f64 (+.f64 x (.f64 x y))) (sqrt.f64 (+.f64 x (*.f64 x y))))
46.0ms	(sqrt.f64 (+.f64 x (*.f64 x y)))
46.0ms	(sqrt.f64 (+.f64 x (*.f64 x y)))
43.0ms	(+.f64 x (*.f64 x y))

simplify103.0ms (8.4%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4921	1456
1	4921	1456

prune73.0ms (5.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	110	2	112

Merged error: 0.0b

Counts

112 → 2

Compiler

Compiled 1959 to 420 computations (78.6% saved)

regimes30.0ms (2.4%)

Compiler: Compiled 114 to 78 computations (31.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	10
1	9	10

end0.0ms (0%)

sample382.0ms (30.9%)

Algorithm

1×

intervals

Results

174.0ms	7998×	body	128	valid
1.0ms	71×	body	128	invalid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 47 to 33 computations (29.8% saved)

Details

analyze60.0ms (4.9%)

sample12.0ms (1%)

simplify169.0ms (13.7%)

prune2.0ms (0.2%)

localize5.0ms (0.4%)

rewrite15.0ms (1.2%)

series76.0ms (6.1%)

simplify59.0ms (4.8%)

prune19.0ms (1.5%)

localize7.0ms (0.6%)

rewrite30.0ms (2.4%)

series193.0ms (15.6%)

simplify103.0ms (8.4%)

prune73.0ms (5.9%)

regimes30.0ms (2.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample382.0ms (30.9%)

Profiling