Details

analyze6.0ms (0.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50.1%	13
49.9%	0%	50.1%	14

Compiler

Compiled 21 to 16 computations (23.8% saved)

sample1.1s (62.4%)

Results

997.0ms	8256×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 62 to 47 computations (24.2% saved)

simplify75.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

750×	`div-sub_binary64`
748×	`fma-neg_binary64`
599×	`fma-def_binary64`
502×	`associate-/l*_binary64`
423×	`distribute-rgt-in_binary64`

Counts

1 → 2

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	15	29
1	37	29
2	82	27
3	201	27
4	526	27
5	991	25
6	1614	25
7	3273	25
8	3653	25
9	4694	25
10	4942	25

prune4.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

Counts

3 → 2

Alt Table

Status	Error	Program
	0.0b	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
▶	0.0b	(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (.f64 -1/4 (fma.f64 v v -1))))

Compiler

Compiled 113 to 86 computations (23.9% saved)

localize10.0ms (0.6%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (fma.f64 v (*.f64 v -3) 1))
✓	0.0b	(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (.f64 -1/4 (fma.f64 v v -1))))

series19.0ms (1.1%)

Counts

2 → 24

Calls

2 calls:

15.0ms	(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (.f64 -1/4 (fma.f64 v v -1))))
4.0ms	(sqrt.f64 (fma.f64 v (*.f64 v -3) 1))

rewrite12.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`distribute-lft-in_binary64`
12×	`distribute-rgt-in_binary64`
12×	`pow1_binary64`
11×	`add-cbrt-cube_binary64`
11×	`add-exp-log_binary64`

Counts

2 → 49

Calls

2 calls:

7.0ms	(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (.f64 -1/4 (fma.f64 v v -1))))
1.0ms	(sqrt.f64 (fma.f64 v (*.f64 v -3) 1))

simplify139.0ms (7.9%)

Algorithm

1×	egg-herbie

Rules

552×	`fma-def_binary64`
389×	`cancel-sign-sub-inv_binary64`
359×	`distribute-rgt-in_binary64`
332×	`distribute-lft-in_binary64`
238×	`associate-r_binary64`

Counts

73 → 93

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	192	2202
1	508	2049
2	1832	1967
3	4941	1967

prune97.0ms (5.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	93	2	95

Error

Counts

95 → 2

Alt Table

Status	Error	Program
✓	0.0b	(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (.f64 -1/4 (fma.f64 v v -1))))
▶	0.0b	(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (fma.f64 v (.f64 v -3) 1))) (.f64 -1/4 (fma.f64 v v -1)))

Compiler

Compiled 2723 to 2250 computations (17.4% saved)

localize10.0ms (0.6%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (fma.f64 v (*.f64 v -3) 1))
✓	0.0b	(.f64 (sqrt.f64 2) (sqrt.f64 (fma.f64 v (.f64 v -3) 1)))

series9.0ms (0.5%)

Counts

1 → 12

Calls

1 calls:

9.0ms

(*.f64 (sqrt.f64 2) (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)))

rewrite7.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64`
10×	`sqrt-prod_binary64`
6×	`associate-r_binary64`
6×	`associate-l_binary64`
5×	`*-un-lft-identity_binary64`

Counts

1 → 33

Calls

1 calls:

5.0ms

(*.f64 (sqrt.f64 2) (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)))

simplify52.0ms (3%)

Algorithm

1×	egg-herbie

Rules

515×	`distribute-rgt-neg-in_binary64`
485×	`distribute-lft-neg-in_binary64`
353×	`associate-l_binary64`
333×	`associate-r_binary64`
298×	`times-frac_binary64`

Counts

45 → 57

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	97	1023
1	243	991
2	830	965
3	3314	965
4	4931	965

prune84.0ms (4.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	95	2	97

Error

Counts

97 → 2

Alt Table

Status	Error	Program
✓	0.0b	(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (.f64 -1/4 (fma.f64 v v -1))))
✓	0.0b	(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (fma.f64 v (.f64 v -3) 1))) (.f64 -1/4 (fma.f64 v v -1)))

Compiler

Compiled 2463 to 2003 computations (18.7% saved)

regimes49.0ms (2.8%)

Accuracy

Total -0.0b remaining (-16.7%)

Threshold costs -0.0b (-16.7%)

Counts

15 → 1

Compiler

Compiled 821 to 644 computations (21.6% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	23
1	20	23
2	19	23

end86.0ms (4.9%)

Compiler: Compiled 70 to 54 computations (22.9% saved)

Details

analyze6.0ms (0.3%)

sample1.1s (62.4%)

simplify75.0ms (4.3%)

prune4.0ms (0.2%)

localize10.0ms (0.6%)

series19.0ms (1.1%)

rewrite12.0ms (0.7%)

simplify139.0ms (7.9%)

prune97.0ms (5.5%)

localize10.0ms (0.6%)

series9.0ms (0.5%)

rewrite7.0ms (0.4%)

simplify52.0ms (3%)

prune84.0ms (4.8%)

regimes49.0ms (2.8%)

simplify2.0ms (0.1%)

end86.0ms (4.9%)

Profiling