Details

analyze66.0ms (4.5%)

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
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)

sample11.0ms (0.8%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	128	valid
0.0ms	6×	body	128	invalid

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify168.0ms (11.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	27	10
1	27	10

prune2.0ms (0.1%)

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)

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite13.0ms (0.9%)

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:

7.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)
5.0ms	(+.f64 (*.f64 x y) x)

series71.0ms (4.8%)

Counts

2 → 6

Calls

2 calls:

43.0ms	(+.f64 (*.f64 x y) x)
28.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)

simplify58.0ms (4%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4995	394
1	4995	394

prune18.0ms (1.2%)

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: 0b

Counts

32 → 2

Compiler

Compiled 380 to 101 computations (73.4% saved)

localize10.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 (.f64 x (-.f64 (.f64 x (.f64 y y)) x)) (-.f64 (.f64 x y) x)) y)
1.5b	(.f64 x (-.f64 (.f64 x (*.f64 y y)) x))
9.9b	(.f64 x (.f64 y y))
30.1b	(/.f64 (.f64 x (-.f64 (.f64 x (.f64 y y)) x)) (-.f64 (.f64 x y) x))

rewrite51.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-exp-log_binary64_2808` `add-cbrt-cube_binary64_2806`
12×	`add-sqr-sqrt_binary64_2794`
11×	`pow1_binary64_2831` `*-un-lft-identity_binary64_2773`
9×	`add-cube-cbrt_binary64_2805`
6×	`associate-l_binary64_2716` `add-log-exp_binary64_2809`
5×	`cbrt-unprod_binary64_2803` `prod-exp_binary64_2819`
4×	`pow-prod-down_binary64_2841` `associate-r_binary64_2715` `associate-*r/_binary64_2717`
3×	`times-frac_binary64_2779` `flip3--_binary64_2777` `associate-/r*_binary64_2719` `flip--_binary64_2748`
2×	`cbrt-undiv_binary64_2804` `associate-/r/_binary64_2721` `associate-/l/_binary64_2722` `unswap-sqr_binary64_2741` `sub-neg_binary64_2766` `div-exp_binary64_2821` `*-commutative_binary64_2706`
1×	`frac-2neg_binary64_2784` `distribute-rgt-in_binary64_2725` `div-inv_binary64_2770` `flip3-+_binary64_2776` `distribute-lft-out_binary64_2726` `sum-log_binary64_2861` `distribute-lft-in_binary64_2724` `clear-num_binary64_2772` `associate-/l*_binary64_2720` `+-commutative_binary64_2705` `flip-+_binary64_2747`

Counts

4 → 78

Calls

4 calls:

15.0ms	(+.f64 (/.f64 (.f64 x (-.f64 (.f64 x (.f64 y y)) x)) (-.f64 (.f64 x y) x)) y)
14.0ms	(/.f64 (.f64 x (-.f64 (.f64 x (.f64 y y)) x)) (-.f64 (.f64 x y) x))
9.0ms	(.f64 x (-.f64 (.f64 x (*.f64 y y)) x))
6.0ms	(.f64 x (.f64 y y))

series465.0ms (31.6%)

Counts

4 → 12

Calls

4 calls:

218.0ms	(/.f64 (.f64 x (-.f64 (.f64 x (.f64 y y)) x)) (-.f64 (.f64 x y) x))
112.0ms	(.f64 x (-.f64 (.f64 x (*.f64 y y)) x))
90.0ms	(+.f64 (/.f64 (.f64 x (-.f64 (.f64 x (.f64 y y)) x)) (-.f64 (.f64 x y) x)) y)
44.0ms	(.f64 x (.f64 y y))

simplify40.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	4917	1576
1	4917	1576

prune71.0ms (4.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	90	2	92

Merged error: 0b

Counts

92 → 2

Compiler

Compiled 1943 to 539 computations (72.3% saved)

regimes31.0ms (2.1%)

Compiler: Compiled 135 to 99 computations (26.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	10
1	9	10

end0.0ms (0%)

sample391.0ms (26.5%)

Algorithm

1×

intervals

Results

172.0ms	7997×	body	128	valid
1.0ms	69×	body	128	invalid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	512	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 54 to 40 computations (25.9% saved)

Details

analyze66.0ms (4.5%)

sample11.0ms (0.8%)

simplify168.0ms (11.4%)

prune2.0ms (0.1%)

localize4.0ms (0.3%)

rewrite13.0ms (0.9%)

series71.0ms (4.8%)

simplify58.0ms (4%)

prune18.0ms (1.2%)

localize10.0ms (0.7%)

rewrite51.0ms (3.5%)

series465.0ms (31.6%)

simplify40.0ms (2.7%)

prune71.0ms (4.8%)

regimes31.0ms (2.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample391.0ms (26.5%)

Profiling