Details

analyze198.0ms (6.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	256	20
1	256	20
0	2	2
1	2	2

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
62.4%	32.8%	4.8%	8
69.5%	22.6%	7.9%	9
74.5%	16.4%	9.1%	10
78.2%	11.1%	10.6%	11
80.9%	8.2%	10.9%	12
82.8%	5.5%	11.7%	13
84.1%	4.1%	11.8%	14

Symmetry

sort(x y)

Compiler

Compiled 8 to 6 computations (25% saved)

sample25.0ms (0.8%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	5×	body	128	invalid

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify18.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (13.0ms)

Iter	Nodes	Cost
0	256	10
1	256	10

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite16.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`add-log-exp_binary64_5232`
2×	`diff-log_binary64_5285`
1×	`sum-log_binary64_5284` `pow1_binary64_5254` `add-exp-log_binary64_5231` `add-cbrt-cube_binary64_5229` `add-cube-cbrt_binary64_5228` `add-sqr-sqrt_binary64_5215` `flip3--_binary64_5197` `*-un-lft-identity_binary64_5193` `sub-neg_binary64_5186` `flip--_binary64_5168` `cancel-sign-sub-inv_binary64_5159` `associate--l+_binary64_5130`

Counts

1 → 14

Calls

1 calls:

6.0ms

(-.f64 (+.f64 x y) (*.f64 x y))

Compiler

Compiled 205 to 51 computations (75.1% saved)

series81.0ms (2.5%)

Error

Counts

1 → 12

Calls

1 calls:

74.0ms

(-.f64 (+.f64 x y) (*.f64 x y))

Compiler

Compiled 178 to 111 computations (37.6% saved)

simplify67.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	6203	308

prune17.0ms (0.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	25	1	26
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	25	2	27

Error

0.0b

Counts

27 → 2

Compiler

Compiled 274 to 51 computations (81.4% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (-.f64 (+.f64 y x) (.f64 y x))) (cbrt.f64 (-.f64 (+.f64 y x) (*.f64 y x))))
0.6b	(cbrt.f64 (-.f64 (+.f64 y x) (*.f64 y x)))
0.6b	(cbrt.f64 (-.f64 (+.f64 y x) (*.f64 y x)))
0.6b	(cbrt.f64 (-.f64 (+.f64 y x) (*.f64 y x)))

rewrite130.0ms (4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`cbrt-prod_binary64_5224`
23×	`add-sqr-sqrt_binary64_5215`
18×	`cbrt-div_binary64_5225`
15×	`add-cube-cbrt_binary64_5228` `*-un-lft-identity_binary64_5193`
11×	`pow1_binary64_5254`
9×	`pow1/3_binary64_5275` `flip3--_binary64_5197` `flip--_binary64_5168`
6×	`add-exp-log_binary64_5231` `swap-sqr_binary64_5160` `associate-l_binary64_5134` `associate-r_binary64_5133`
4×	`add-log-exp_binary64_5232` `add-cbrt-cube_binary64_5229` `frac-times_binary64_5203` `unswap-sqr_binary64_5161`
2×	`pow-prod-down_binary64_5264` `pow-prod-up_binary64_5263` `pow-sqr_binary64_5166` `associate-l/_binary64_5136` `associate-r/_binary64_5135`
1×	`pow2_binary64_5274` `pow-plus_binary64_5256` `prod-exp_binary64_5242` `cbrt-unprod_binary64_5226` `*-commutative_binary64_5124`

Counts

4 → 87

Calls

4 calls:

20.0ms	(.f64 (cbrt.f64 (-.f64 (+.f64 y x) (.f64 y x))) (cbrt.f64 (-.f64 (+.f64 y x) (*.f64 y x))))
5.0ms	(cbrt.f64 (-.f64 (+.f64 y x) (*.f64 y x)))
5.0ms	(cbrt.f64 (-.f64 (+.f64 y x) (*.f64 y x)))
5.0ms	(cbrt.f64 (-.f64 (+.f64 y x) (*.f64 y x)))

Compiler

Compiled 3392 to 339 computations (90% saved)

series1.5s (46.8%)

Error

0.0b

Counts

4 → 57

Calls

4 calls:

777.0ms	(.f64 (cbrt.f64 (-.f64 (+.f64 y x) (.f64 y x))) (cbrt.f64 (-.f64 (+.f64 y x) (*.f64 y x))))
188.0ms	(cbrt.f64 (-.f64 (+.f64 y x) (*.f64 y x)))
185.0ms	(cbrt.f64 (-.f64 (+.f64 y x) (*.f64 y x)))
182.0ms	(cbrt.f64 (-.f64 (+.f64 y x) (*.f64 y x)))

Compiler

Compiled 9932 to 7240 computations (27.1% saved)

simplify95.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4990	6328
1	4990	6328

prune224.0ms (6.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	144	2	146

Error

0.0b

Counts

146 → 2

Compiler

Compiled 6477 to 2317 computations (64.2% saved)

regimes61.0ms (1.9%)

Accuracy

Total 0.0b remaining (82.5%)

Threshold costs 0.0b (82.5%)

Compiler

Compiled 393 to 201 computations (48.9% saved)

bsearch0.0ms (0%)

simplify9.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	10
1	34	10

Removed

((sort x y))

Compiler

Compiled 14 to 10 computations (28.6% saved)

end0.0ms (0%)

sample774.0ms (23.8%)

Algorithm

1×

intervals

Results

181.0ms	7996×	body	128	valid
2.0ms	81×	body	128	invalid
0.0ms	3×	body	512	valid
0.0ms	1×	body	1024	valid

Compiler

Compiled 140 to 74 computations (47.1% saved)

Details

analyze198.0ms (6.1%)

sample25.0ms (0.8%)

simplify18.0ms (0.6%)

prune2.0ms (0.1%)

localize4.0ms (0.1%)

rewrite16.0ms (0.5%)

series81.0ms (2.5%)

simplify67.0ms (2.1%)

prune17.0ms (0.5%)

localize9.0ms (0.3%)

rewrite130.0ms (4%)

series1.5s (46.8%)

simplify95.0ms (2.9%)

prune224.0ms (6.9%)

regimes61.0ms (1.9%)

bsearch0.0ms (0%)

simplify9.0ms (0.3%)

end0.0ms (0%)

sample774.0ms (23.8%)

Profiling