Details

analyze120.0ms (6.9%)

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
49.9%	49.9%	0.1%	5
74.9%	25%	0.1%	6
74.9%	25%	0.1%	7
74.9%	25%	0.1%	8
81.1%	18.7%	0.1%	9
81.1%	18.7%	0.1%	10
81.1%	15.6%	3.3%	11
84.3%	10.9%	4.8%	12
84.3%	10.9%	4.8%	13
84.3%	8.6%	7.2%	14

Compiler

Compiled 10 to 10 computations (0% saved)

sample15.0ms (0.9%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	10×	body	128	invalid

Compiler

Compiled 19 to 22 computations (-15.8% saved)

simplify182.0ms (10.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	291	13
1	291	13

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 18 to 18 computations (0% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (*.f64 x y) 2)
0.0b	(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8))

rewrite22.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_7669`
13×	`*-un-lft-identity_binary64_7647` `times-frac_binary64_7653` `cancel-sign-sub-inv_binary64_7613`
11×	`add-cube-cbrt_binary64_7682`
7×	`add-cbrt-cube_binary64_7683` `add-exp-log_binary64_7685`
4×	`add-log-exp_binary64_7686`
3×	`associate-/r*_binary64_7591`
2×	`div-exp_binary64_7698` `div-inv_binary64_7644` `pow1_binary64_7708` `difference-of-squares_binary64_7616` `cbrt-undiv_binary64_7681`
1×	`sub-neg_binary64_7640` `diff-log_binary64_7739` `flip--_binary64_7622` `prod-exp_binary64_7696` `flip3--_binary64_7651` `cbrt-unprod_binary64_7680` `associate-/l*_binary64_7592` `frac-2neg_binary64_7658` `distribute-lft-out--_binary64_7599` `frac-sub_binary64_7656` `clear-num_binary64_7646`

Counts

2 → 49

Calls

2 calls:

13.0ms	(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8))
5.0ms	(/.f64 (*.f64 x y) 2)

series94.0ms (5.4%)

Counts

2 → 6

Calls

2 calls:

61.0ms	(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8))
33.0ms	(/.f64 (*.f64 x y) 2)

simplify76.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4991	630
1	4991	630

prune40.0ms (2.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	54	1	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	54	2	56

Merged error: 0b

Counts

56 → 2

Compiler

Compiled 720 to 463 computations (35.7% saved)

localize12.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (*.f64 x y) 2)
0.0b	(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8))
0.1b	(pow.f64 (-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8)) 3)
40.0b	(cbrt.f64 (pow.f64 (-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8)) 3))

rewrite56.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`add-sqr-sqrt_binary64_7669`
29×	`*-un-lft-identity_binary64_7647`
19×	`add-cube-cbrt_binary64_7682`
18×	`cbrt-prod_binary64_7678`
17×	`times-frac_binary64_7653`
13×	`cancel-sign-sub-inv_binary64_7613`
12×	`unpow-prod-down_binary64_7726` `cube-prod_binary64_7675`
10×	`add-cbrt-cube_binary64_7683` `add-exp-log_binary64_7685` `difference-of-squares_binary64_7616`
6×	`cube-div_binary64_7676` `add-log-exp_binary64_7686`
5×	`pow1_binary64_7708` `distribute-lft-out--_binary64_7599`
3×	`flip--_binary64_7622` `flip3--_binary64_7651` `cbrt-div_binary64_7679` `pow-unpow_binary64_7724` `frac-sub_binary64_7656` `associate-/r*_binary64_7591`
2×	`div-exp_binary64_7698` `cube-mult_binary64_7677` `div-inv_binary64_7644` `unpow3_binary64_7713` `sqr-pow_binary64_7619` `cbrt-undiv_binary64_7681`
1×	`sub-neg_binary64_7640` `diff-log_binary64_7739` `prod-exp_binary64_7696` `rem-cbrt-cube_binary64_7671` `cbrt-unprod_binary64_7680` `associate-/l*_binary64_7592` `rem-cube-cbrt_binary64_7670` `frac-2neg_binary64_7658` `pow-to-exp_binary64_7716` `pow-exp_binary64_7715` `clear-num_binary64_7646` `pow-pow_binary64_7719` `pow1/3_binary64_7729`

Counts

4 → 111

Calls

4 calls:

14.0ms	(cbrt.f64 (pow.f64 (-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8)) 3))
13.0ms	(pow.f64 (-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8)) 3)
13.0ms	(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8))
5.0ms	(/.f64 (*.f64 x y) 2)

series355.0ms (20.5%)

Counts

4 → 12

Calls

4 calls:

203.0ms	(pow.f64 (-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8)) 3)
63.0ms	(cbrt.f64 (pow.f64 (-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8)) 3))
60.0ms	(-.f64 (/.f64 (*.f64 x y) 2) (/.f64 z 8))
29.0ms	(/.f64 (*.f64 x y) 2)

simplify66.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5040	2272

prune116.0ms (6.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	123	2	125

Merged error: 0b

Counts

125 → 2

Compiler

Compiled 2175 to 1454 computations (33.1% saved)

regimes63.0ms (3.7%)

Compiler: Compiled 193 to 213 computations (-10.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	13
1	28	13

end0.0ms (0%)

sample505.0ms (29.1%)

Algorithm

1×

intervals

Results

240.0ms	8000×	body	128	valid
13.0ms	457×	body	128	invalid

Compiler

Compiled 40 to 43 computations (-7.5% saved)

Details

analyze120.0ms (6.9%)

sample15.0ms (0.9%)

simplify182.0ms (10.5%)

prune2.0ms (0.1%)

localize6.0ms (0.4%)

rewrite22.0ms (1.3%)

series94.0ms (5.4%)

simplify76.0ms (4.4%)

prune40.0ms (2.3%)

localize12.0ms (0.7%)

rewrite56.0ms (3.2%)

series355.0ms (20.5%)

simplify66.0ms (3.8%)

prune116.0ms (6.7%)

regimes63.0ms (3.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample505.0ms (29.1%)

Profiling