Details

analyze36.0ms (1.8%)

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
25%	74.9%	0.1%	3
37.5%	62.4%	0.1%	4
56.2%	43.7%	0.1%	5
65.6%	34.3%	0.1%	6
76.5%	23.4%	0.1%	7
82%	18%	0.1%	8
87.8%	12.1%	0.1%	9
90.7%	9.2%	0.1%	10
93.8%	6.1%	0.1%	11
95.3%	4.6%	0.1%	12
96.8%	3.1%	0.1%	13
97.6%	2.3%	0.1%	14

Compiler

Compiled 10 to 6 computations (40% saved)

sample694.0ms (34.1%)

Infinites

0% of outputs are infinite.

Results

534.0ms

8256×

body

128

valid

Compiler

Compiled 29 to 17 computations (41.4% saved)

simplify73.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

801×	`fma-def_binary64`
511×	`fma-neg_binary64`
365×	`times-frac_binary64`
331×	`div-sub_binary64`
156×	`associate-/l*_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	12	10
2	19	10
3	30	10
4	52	10
5	81	10
6	124	10
7	191	10
8	300	10
9	641	10
10	822	10
11	1299	10
12	1328	10
13	1343	10
14	1357	10
15	1377	10
16	1377	10
17	1276	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

Alt Table

Status	Error	Program
▶	0.0b	(/.f64 (-.f64 x y) (+.f64 x y))

Compiler

Compiled 27 to 15 computations (44.4% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 x y) (+.f64 x y))

series8.0ms (0.4%)

Counts

1 → 24

Calls

1 calls:

8.0ms

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

rewrite10.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64`
22×	`add-sqr-sqrt_binary64`
20×	`times-frac_binary64`
12×	`add-cube-cbrt_binary64`
6×	`distribute-lft-out_binary64`

Counts

1 → 48

Calls

1 calls:

7.0ms

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

simplify73.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

610×	`div-sub_binary64`
586×	`fma-neg_binary64`
530×	`cancel-sign-sub-inv_binary64`
194×	`distribute-neg-frac_binary64`
184×	`fma-def_binary64`

Counts

72 → 59

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	106	1287
1	283	1239
2	748	1195
3	2488	1183
4	4383	1183
5	5485	1183

prune36.0ms (1.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	56	3	59
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	57	3	60

Error

Counts

60 → 3

Alt Table

Status	Error	Program
	32.1b	(fma.f64 (/.f64 y x) -2 1)
	30.9b	(fma.f64 2 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))) -1)
▶	0.1b	(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y))) (*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))) (/.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (+.f64 x y))))

Compiler

Compiled 994 to 313 computations (68.5% saved)

localize11.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))
✓	0.5b	(*.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y)))
✓	0.5b	(cbrt.f64 (+.f64 x y))
✓	0.5b	(cbrt.f64 (-.f64 x y))

series115.0ms (5.6%)

Counts

4 → 96

Calls

4 calls:

34.0ms	(*.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y)))
31.0ms	(cbrt.f64 (-.f64 x y))
26.0ms	(cbrt.f64 (+.f64 x y))
24.0ms	(*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))

rewrite35.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

61×	`cbrt-prod_binary64`
54×	`*-un-lft-identity_binary64`
48×	`add-sqr-sqrt_binary64`
28×	`cbrt-div_binary64`
22×	`add-cube-cbrt_binary64`

Counts

4 → 146

Calls

4 calls:

14.0ms	(*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))
8.0ms	(*.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y)))
2.0ms	(cbrt.f64 (-.f64 x y))
2.0ms	(cbrt.f64 (+.f64 x y))

simplify181.0ms (8.9%)

Algorithm

1×	egg-herbie

Rules

514×	`times-frac_binary64`
407×	`fma-neg_binary64`
320×	`associate-r_binary64`
299×	`unswap-sqr_binary64`
235×	`associate-l_binary64`

Counts

242 → 291

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	358	5899
1	950	5705
2	3056	5366
3	4966	5366
4	5083	5366

prune299.0ms (14.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	507	0	507
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	507	3	510

Error

Counts

510 → 3

Alt Table

Status	Error	Program
	32.1b	(fma.f64 (/.f64 y x) -2 1)
▶	30.9b	(fma.f64 2 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))) -1)
✓	0.1b	(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y))) (*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))) (/.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (+.f64 x y))))

Compiler

Compiled 21841 to 6425 computations (70.6% saved)

localize11.0ms (0.6%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (/.f64 x y) (/.f64 x y))
✓	3.8b	(-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y)))

series49.0ms (2.4%)

Counts

2 → 48

Calls

2 calls:

28.0ms	(*.f64 (/.f64 x y) (/.f64 x y))
21.0ms	(-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y)))

rewrite23.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`times-frac_binary64`
59×	`add-sqr-sqrt_binary64`
47×	`*-un-lft-identity_binary64`
44×	`add-cube-cbrt_binary64`
14×	`add-cbrt-cube_binary64`

Counts

2 → 118

Calls

2 calls:

9.0ms	(*.f64 (/.f64 x y) (/.f64 x y))
5.0ms	(-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y)))

simplify114.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

673×	`fma-neg_binary64`
499×	`times-frac_binary64`
367×	`associate-/l/_binary64`
345×	`fma-def_binary64`
242×	`*-commutative_binary64`

Counts

166 → 187

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	166	2835
1	453	2422
2	1413	2058
3	3948	1880
4	4949	1880
5	4939	1880

prune105.0ms (5.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	187	0	187
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	187	3	190

Error

Counts

190 → 3

Alt Table

Status	Error	Program
▶	32.1b	(fma.f64 (/.f64 y x) -2 1)
✓	30.9b	(fma.f64 2 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))) -1)
✓	0.1b	(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y))) (*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))) (/.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (+.f64 x y))))

Compiler

Compiled 4169 to 1399 computations (66.4% saved)

localize5.0ms (0.2%)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	2	2
Total	3	3

Error

Counts

3 → 3

Alt Table

Status	Error	Program
✓	32.1b	(fma.f64 (/.f64 y x) -2 1)
✓	30.9b	(fma.f64 2 (-.f64 (/.f64 x y) (*.f64 (/.f64 x y) (/.f64 x y))) -1)
✓	0.1b	(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y))) (*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))) (/.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (+.f64 x y))))

Compiler

Compiled 55 to 25 computations (54.5% saved)

regimes94.0ms (4.6%)

Accuracy

Total -0.0b remaining (-57.3%)

Threshold costs -0.0b (-57.3%)

Counts

36 → 1

Compiler

Compiled 1773 to 990 computations (44.2% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
3×	`sub-neg_binary64`
2×	`*-commutative_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	16
1	10	16
2	17	16
3	21	16
4	24	16
5	25	16
6	25	16

end51.0ms (2.5%)

Compiler: Compiled 81 to 37 computations (54.3% saved)

Details

analyze36.0ms (1.8%)

sample694.0ms (34.1%)

simplify73.0ms (3.6%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

series8.0ms (0.4%)

rewrite10.0ms (0.5%)

simplify73.0ms (3.6%)

prune36.0ms (1.7%)

localize11.0ms (0.6%)

series115.0ms (5.6%)

rewrite35.0ms (1.7%)

simplify181.0ms (8.9%)

prune299.0ms (14.7%)

localize11.0ms (0.6%)

series49.0ms (2.4%)

rewrite23.0ms (1.1%)

simplify114.0ms (5.6%)

prune105.0ms (5.2%)

localize5.0ms (0.2%)

prune2.0ms (0.1%)

regimes94.0ms (4.6%)

simplify5.0ms (0.2%)

end51.0ms (2.5%)

Profiling