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)

sample1.2s (58.3%)

Results

1.1s	8256×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 62 to 47 computations (24.2% saved)

simplify76.0ms (3.8%)

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

prune3.0ms (0.2%)

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	(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (.f64 -1/4 (fma.f64 v v -1))))

Compiler

Compiled 73 to 56 computations (23.3% saved)

localize12.0ms (0.6%)

Local error

Found 3 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))))
✓	0.0b	(.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (*.f64 -1/4 (fma.f64 v v -1)))

series35.0ms (1.8%)

Counts

3 → 36

Calls

3 calls:

14.0ms

(*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 -1/4 (fma.f64 v v -1)))

13.0ms

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

9.0ms

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

rewrite20.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`pow1_binary64`
17×	`add-cbrt-cube_binary64`
17×	`add-exp-log_binary64`
16×	`distribute-lft-in_binary64`
16×	`distribute-rgt-in_binary64`

Counts

3 → 76

Calls

3 calls:

10.0ms

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

5.0ms

(*.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))

simplify104.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

766×	`fma-def_binary64`
672×	`fma-neg_binary64`
569×	`cancel-sign-sub-inv_binary64`
256×	`associate-r_binary64`
230×	`sub-neg_binary64`

Counts

112 → 146

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	233	3324
1	644	3084
2	2350	2985
3	4364	2978
4	4988	2978

prune134.0ms (6.7%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	145	1	146
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	146	1	147

Error

Counts

147 → 1

Alt Table

Status	Error	Program
▶	0b	(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (.f64 -1/4 (fma.f64 v v -1))))))

Compiler

Compiled 4184 to 3442 computations (17.7% saved)

localize13.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (.f64 -1/4 (fma.f64 v v -1)))))
✓	0.0b	(expm1.f64 (log1p.f64 (.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 (sqrt.f64 2) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (.f64 -1/4 (fma.f64 v v -1))))
	0.0b	(.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (*.f64 -1/4 (fma.f64 v v -1)))

series34.0ms (1.7%)

Counts

2 → 24

Calls

2 calls:

20.0ms

(log1p.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 -1/4 (fma.f64 v v -1)))))

14.0ms

(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 -1/4 (fma.f64 v v -1))))))

rewrite2.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`expm1-log1p-u_binary64`
2×	`*-un-lft-identity_binary64`
2×	`add-sqr-sqrt_binary64`
2×	`add-cube-cbrt_binary64`
2×	`add-cbrt-cube_binary64`

Counts

2 → 22

Calls

2 calls:

0.0ms

(log1p.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 -1/4 (fma.f64 v v -1)))))

0.0ms

(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (*.f64 -1/4 (fma.f64 v v -1))))))

simplify77.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

706×	`times-frac_binary64`
648×	`fma-def_binary64`
411×	`fma-neg_binary64`
398×	`cancel-sign-sub-inv_binary64`
228×	`sub-neg_binary64`

Counts

46 → 83

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	174	2105
1	524	1845
2	1966	1782
3	4968	1782
4	5127	1782

prune174.0ms (8.7%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	191	0	191
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	191	1	192

Error

Counts

192 → 1

Alt Table

Status	Error	Program
✓	0b	(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (.f64 -1/4 (fma.f64 v v -1))))))

Compiler

Compiled 6215 to 5275 computations (15.1% saved)

regimes97.0ms (4.8%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

33 → 1

Compiler

Compiled 1769 to 1456 computations (17.7% 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	17	29
1	23	29
2	22	29

end48.0ms (2.4%)

Compiler: Compiled 60 to 48 computations (20% saved)

Details

analyze6.0ms (0.3%)

sample1.2s (58.3%)

simplify76.0ms (3.8%)

prune3.0ms (0.2%)

localize12.0ms (0.6%)

series35.0ms (1.8%)

rewrite20.0ms (1%)

simplify104.0ms (5.2%)

prune134.0ms (6.7%)

localize13.0ms (0.6%)

series34.0ms (1.7%)

rewrite2.0ms (0.1%)

simplify77.0ms (3.8%)

prune174.0ms (8.7%)

regimes97.0ms (4.8%)

simplify2.0ms (0.1%)

end48.0ms (2.4%)

Profiling