Details

analyze65.0ms (4.2%)

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 (0.7%)

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)

simplify162.0ms (10.5%)

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)

rewrite14.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64_2504`
4×	`*-un-lft-identity_binary64_2465` `sum-log_binary64_2556`
2×	`flip3-+_binary64_2468` `+-commutative_binary64_2395` `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`
1×	`associate-+l+_binary64_2398` `distribute-lft-out_binary64_2416`

Counts

2 → 25

Calls

2 calls:

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

series72.0ms (4.7%)

Counts

2 → 6

Calls

2 calls:

43.0ms	(+.f64 (*.f64 x y) x)
29.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)

simplify61.0ms (4%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4971	394
1	4971	394

prune18.0ms (1.1%)

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 385 to 99 computations (74.3% saved)

localize9.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 x (.f64 x y))) (cbrt.f64 (+.f64 x (*.f64 x y))))
0.5b	(cbrt.f64 (+.f64 x (*.f64 x y)))
0.5b	(cbrt.f64 (+.f64 x (*.f64 x y)))
0.5b	(cbrt.f64 (+.f64 x (*.f64 x y)))

rewrite29.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_2496`
23×	`add-sqr-sqrt_binary64_2487`
18×	`cbrt-div_binary64_2497`
15×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500`
11×	`pow1_binary64_2526`
9×	`flip3-+_binary64_2468` `flip-+_binary64_2439` `pow1/3_binary64_2547`
6×	`swap-sqr_binary64_2432` `add-exp-log_binary64_2503` `associate-r_binary64_2405` `associate-l_binary64_2406`
4×	`add-log-exp_binary64_2504` `frac-times_binary64_2475` `unswap-sqr_binary64_2433` `add-cbrt-cube_binary64_2501`
2×	`associate-l/_binary64_2408` `associate-r/_binary64_2407` `pow-prod-down_binary64_2536` `pow-sqr_binary64_2438` `pow-prod-up_binary64_2535`
1×	`*-commutative_binary64_2396` `pow-plus_binary64_2528` `pow2_binary64_2546` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`

Counts

4 → 87

Calls

4 calls:

11.0ms	(.f64 (cbrt.f64 (+.f64 x (.f64 x y))) (cbrt.f64 (+.f64 x (*.f64 x y))))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 x y)))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 x y)))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 x y)))

series509.0ms (32.9%)

Counts

4 → 12

Calls

4 calls:

155.0ms	(.f64 (cbrt.f64 (+.f64 x (.f64 x y))) (cbrt.f64 (+.f64 x (*.f64 x y))))
121.0ms	(cbrt.f64 (+.f64 x (*.f64 x y)))
119.0ms	(cbrt.f64 (+.f64 x (*.f64 x y)))
114.0ms	(cbrt.f64 (+.f64 x (*.f64 x y)))

simplify92.0ms (5.9%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4877	1918
1	4877	1918

prune89.0ms (5.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	99	2	101

Merged error: 0b

Counts

101 → 2

Compiler

Compiled 2832 to 619 computations (78.1% saved)

regimes31.0ms (2%)

Compiler: Compiled 156 to 78 computations (50% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	10
1	9	10

end0.0ms (0%)

sample379.0ms (24.5%)

Algorithm

1×

intervals

Results

176.0ms	7997×	body	128	valid
1.0ms	70×	body	128	invalid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	512	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 61 to 33 computations (45.9% saved)

Details

analyze65.0ms (4.2%)

sample11.0ms (0.7%)

simplify162.0ms (10.5%)

prune2.0ms (0.1%)

localize4.0ms (0.3%)

rewrite14.0ms (0.9%)

series72.0ms (4.7%)

simplify61.0ms (4%)

prune18.0ms (1.1%)

localize9.0ms (0.6%)

rewrite29.0ms (1.9%)

series509.0ms (32.9%)

simplify92.0ms (5.9%)

prune89.0ms (5.7%)

regimes31.0ms (2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample379.0ms (24.5%)

Profiling