Details

analyze66.0ms (4.4%)

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 (0.8%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	6×	body	128	invalid

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify172.0ms (11.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	27	10
1	27	10

prune2.0ms (0.1%)

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_2526`
4×	`*-un-lft-identity_binary64_2487` `sum-log_binary64_2578`
2×	`add-exp-log_binary64_2525` `add-cube-cbrt_binary64_2522` `flip-+_binary64_2461` `+-commutative_binary64_2417` `flip3-+_binary64_2490` `add-cbrt-cube_binary64_2523` `pow1_binary64_2548` `add-sqr-sqrt_binary64_2509`
1×	`associate-+l+_binary64_2420` `distribute-lft-out_binary64_2438`

Counts

2 → 25

Calls

2 calls:

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

series71.0ms (4.7%)

Counts

2 → 6

Calls

2 calls:

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

simplify63.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4971	394
1	4971	394

prune19.0ms (1.3%)

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 404 to 116 computations (71.3% 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))

rewrite57.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-exp-log_binary64_2525` `add-cbrt-cube_binary64_2523`
14×	`add-sqr-sqrt_binary64_2509`
13×	`*-un-lft-identity_binary64_2487`
11×	`add-cube-cbrt_binary64_2522` `pow1_binary64_2548`
6×	`cancel-sign-sub-inv_binary64_2453` `add-log-exp_binary64_2526` `associate-l_binary64_2428`
5×	`prod-exp_binary64_2536` `cbrt-unprod_binary64_2520`
4×	`distribute-rgt-in_binary64_2437` `distribute-lft-in_binary64_2436` `pow-prod-down_binary64_2558` `associate-r/_binary64_2429` `associate-r*_binary64_2427`
3×	`flip--_binary64_2462` `times-frac_binary64_2493` `associate-/r*_binary64_2431` `flip3--_binary64_2491`
2×	`unswap-sqr_binary64_2455` `sub-neg_binary64_2480` `*-commutative_binary64_2418` `associate-/r/_binary64_2433` `div-exp_binary64_2538` `associate-/l/_binary64_2434` `cbrt-undiv_binary64_2521`
1×	`distribute-lft-out_binary64_2438` `frac-2neg_binary64_2498` `associate-/l*_binary64_2432` `flip-+_binary64_2461` `clear-num_binary64_2486` `div-inv_binary64_2484` `+-commutative_binary64_2417` `flip3-+_binary64_2490` `sum-log_binary64_2578`

Counts

4 → 84

Calls

4 calls:

16.0ms	(+.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))
10.0ms	(.f64 x (-.f64 (.f64 x (*.f64 y y)) x))
6.0ms	(.f64 x (.f64 y y))

series493.0ms (32.8%)

Counts

4 → 12

Calls

4 calls:

225.0ms	(/.f64 (.f64 x (-.f64 (.f64 x (.f64 y y)) x)) (-.f64 (.f64 x y) x))
110.0ms	(.f64 x (-.f64 (.f64 x (*.f64 y y)) x))
109.0ms	(+.f64 (/.f64 (.f64 x (-.f64 (.f64 x (.f64 y y)) x)) (-.f64 (.f64 x y) x)) y)
49.0ms	(.f64 x (.f64 y y))

simplify41.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5096	1672

prune77.0ms (5.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	96	2	98

Merged error: 0b

Counts

98 → 2

Compiler

Compiled 2102 to 566 computations (73.1% saved)

regimes25.0ms (1.7%)

Compiler: Compiled 90 to 63 computations (30% 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%)

sample376.0ms (25%)

Algorithm

1×

intervals

Results

175.0ms	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 39 to 28 computations (28.2% saved)

Details

analyze66.0ms (4.4%)

sample12.0ms (0.8%)

simplify172.0ms (11.4%)

prune2.0ms (0.1%)

localize4.0ms (0.3%)

rewrite13.0ms (0.9%)

series71.0ms (4.7%)

simplify63.0ms (4.2%)

prune19.0ms (1.3%)

localize10.0ms (0.7%)

rewrite57.0ms (3.8%)

series493.0ms (32.8%)

simplify41.0ms (2.7%)

prune77.0ms (5.1%)

regimes25.0ms (1.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample376.0ms (25%)

Profiling