Details

analyze2.0s (36.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.6%	98.1%	0.3%	13
2.3%	97.4%	0.3%	14

Compiler

Compiled 28 to 20 computations (28.6% saved)

sample2.1s (38.7%)

Results

1.3s	8252×	body	128	valid
742.0ms	4734×	body	128	invalid
1.0ms	4×	body	512	valid

Compiler

Compiled 83 to 59 computations (28.9% saved)

simplify62.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

494×	`fma-neg_binary64`
474×	`distribute-neg-in_binary64`
463×	`associate--l-_binary64`
362×	`associate--r-_binary64`
354×	`+-commutative_binary64`

Counts

1 → 2

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	31
1	49	27
2	141	25
3	466	25
4	1615	25
5	3794	25
6	4547	25
7	4966	25

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(fma.f64 (-.f64 (+.f64 y t) 2) b (fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x)))

Compiler

Compiled 93 to 60 computations (35.5% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x))
✓	0.0b	(fma.f64 a (-.f64 1 t) x)
✓	0.0b	(fma.f64 (-.f64 (+.f64 y t) 2) b (fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x)))

series53.0ms (1%)

Counts

3 → 168

Calls

3 calls:

30.0ms	(fma.f64 (-.f64 (+.f64 y t) 2) b (fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x)))
17.0ms	(fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x))
6.0ms	(fma.f64 a (-.f64 1 t) x)

rewrite2.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`*-un-lft-identity_binary64`
3×	`add-sqr-sqrt_binary64`
3×	`add-cube-cbrt_binary64`
3×	`add-cbrt-cube_binary64`
3×	`add-exp-log_binary64`

Counts

3 → 30

Calls

3 calls:

0.0ms	(fma.f64 (-.f64 (+.f64 y t) 2) b (fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x)))
0.0ms	(fma.f64 a (-.f64 1 t) x)
0.0ms	(fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x))

simplify115.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

759×	`fma-neg_binary64`
482×	`associate--l+_binary64`
437×	`sub-neg_binary64`
413×	`associate-+l+_binary64`
409×	`associate-l_binary64`

Counts

198 → 87

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	110	3636
1	288	3535
2	856	3328
3	3026	3326
4	4873	3326
5	5376	3326

prune77.0ms (1.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	86	2	88

Error

0.0b

Counts

88 → 2

Alt Table

Status	Error	Program
▶	0.0b	(+.f64 a (-.f64 (fma.f64 b (+.f64 t y) (+.f64 z x)) (fma.f64 z y (fma.f64 a t (*.f64 b 2)))))
✓	0.0b	(fma.f64 (-.f64 (+.f64 y t) 2) b (fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x)))

Compiler

Compiled 1753 to 862 computations (50.8% saved)

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 b (+.f64 t y) (+.f64 z x))
✓	0.0b	(+.f64 a (-.f64 (fma.f64 b (+.f64 t y) (+.f64 z x)) (fma.f64 z y (fma.f64 a t (*.f64 b 2)))))
✓	0.0b	(-.f64 (fma.f64 b (+.f64 t y) (+.f64 z x)) (fma.f64 z y (fma.f64 a t (*.f64 b 2))))

series71.0ms (1.3%)

Counts

3 → 204

Calls

3 calls:

31.0ms

(+.f64 a (-.f64 (fma.f64 b (+.f64 t y) (+.f64 z x)) (fma.f64 z y (fma.f64 a t (*.f64 b 2)))))

28.0ms

(-.f64 (fma.f64 b (+.f64 t y) (+.f64 z x)) (fma.f64 z y (fma.f64 a t (*.f64 b 2))))

11.0ms

(fma.f64 b (+.f64 t y) (+.f64 z x))

rewrite20.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`*-un-lft-identity_binary64`
21×	`add-sqr-sqrt_binary64`
19×	`add-cube-cbrt_binary64`
18×	`prod-diff_binary64`
14×	`associate-+r+_binary64`

Counts

3 → 76

Calls

3 calls:

10.0ms

(+.f64 a (-.f64 (fma.f64 b (+.f64 t y) (+.f64 z x)) (fma.f64 z y (fma.f64 a t (*.f64 b 2)))))

3.0ms

(-.f64 (fma.f64 b (+.f64 t y) (+.f64 z x)) (fma.f64 z y (fma.f64 a t (*.f64 b 2))))

0.0ms

(fma.f64 b (+.f64 t y) (+.f64 z x))

simplify149.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

729×	`fma-def_binary64`
672×	`associate--l+_binary64`
638×	`fma-neg_binary64`
538×	`associate-l_binary64`
469×	`associate-r_binary64`

Counts

280 → 179

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	188	6303
1	461	5942
2	1558	5804
3	4850	5799
4	5296	5799

prune147.0ms (2.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	179	0	179
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	179	2	181

Error

0.0b

Counts

181 → 2

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 a (-.f64 (fma.f64 b (+.f64 t y) (+.f64 z x)) (fma.f64 z y (fma.f64 a t (*.f64 b 2)))))
✓	0.0b	(fma.f64 (-.f64 (+.f64 y t) 2) b (fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x)))

Compiler

Compiled 5763 to 2215 computations (61.6% saved)

regimes568.0ms (10.3%)

Accuracy

Total 0.0b remaining (64.8%)

Threshold costs 0.0b (64.8%)

Counts

84 → 1

Compiler

Compiled 11177 to 7460 computations (33.3% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

9×	`+-commutative_binary64`
7×	`sub-neg_binary64`
5×	`*-commutative_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	27
1	32	27
2	45	27
3	53	27
4	58	27
5	59	27
6	57	27

end56.0ms (1%)

Compiler: Compiled 100 to 63 computations (37% saved)

Details

analyze2.0s (36.8%)

sample2.1s (38.7%)

simplify62.0ms (1.1%)

prune4.0ms (0.1%)

localize12.0ms (0.2%)

series53.0ms (1%)

rewrite2.0ms (0%)

simplify115.0ms (2.1%)

prune77.0ms (1.4%)

localize13.0ms (0.2%)

series71.0ms (1.3%)

rewrite20.0ms (0.4%)

simplify149.0ms (2.7%)

prune147.0ms (2.7%)

regimes568.0ms (10.3%)

simplify3.0ms (0.1%)

end56.0ms (1%)

Profiling