Details

analyze2.2s (29.1%)

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 (27.1%)

Results

1.3s	8252×	body	128	valid
727.0ms	4695×	body	128	invalid
1.0ms	2×	body	1024	valid
0.0ms	1×	body	512	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 83 to 59 computations (28.9% saved)

simplify57.0ms (0.8%)

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%)

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 1 expressions with local error:

New	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)))

series31.0ms (0.4%)

Counts

1 → 72

Calls

1 calls:

30.0ms

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

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 10

Calls

1 calls:

0.0ms

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

simplify64.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

675×	`distribute-rgt-in_binary64`
634×	`distribute-lft-in_binary64`
453×	`associate--l+_binary64`
427×	`associate-+l+_binary64`
381×	`sub-neg_binary64`

Counts

82 → 48

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	81	2109
1	227	2056
2	767	1999
3	2601	1998
4	5498	1998

prune39.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	46	2	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	3	49

Error

Counts

49 → 3

Alt Table

Status	Error	Program
▶	29.3b	(*.f64 (sqrt.f64 (fma.f64 (-.f64 (+.f64 y t) 2) b (fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x)))) (sqrt.f64 (fma.f64 (-.f64 (+.f64 y t) 2) b (fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x)))))
	52.1b	(*.f64 (-.f64 b a) t)
✓	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 1008 to 506 computations (49.8% saved)

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	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)))
✓	0.0b	(sqrt.f64 (fma.f64 (-.f64 (+.f64 y t) 2) b (fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x))))
✓	0.3b	(*.f64 (sqrt.f64 (fma.f64 (-.f64 (+.f64 y t) 2) b (fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x)))) (sqrt.f64 (fma.f64 (-.f64 (+.f64 y t) 2) b (fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x)))))

series2.1s (27.6%)

Counts

2 → 96

Calls

2 calls:

2.1s

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

30.0ms

(*.f64 (sqrt.f64 (fma.f64 (-.f64 (+.f64 y t) 2) b (fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x)))) (sqrt.f64 (fma.f64 (-.f64 (+.f64 y t) 2) b (fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x)))))

rewrite14.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64`
21×	`sqrt-prod_binary64`
18×	`pow1_binary64`
11×	`*-un-lft-identity_binary64`
11×	`add-cube-cbrt_binary64`

Counts

2 → 68

Calls

2 calls:

6.0ms

(*.f64 (sqrt.f64 (fma.f64 (-.f64 (+.f64 y t) 2) b (fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x)))) (sqrt.f64 (fma.f64 (-.f64 (+.f64 y t) 2) b (fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x)))))

1.0ms

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

simplify116.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

552×	`associate-r_binary64`
484×	`fma-def_binary64`
475×	`associate-l_binary64`
233×	`associate-+l+_binary64`
181×	`associate--l+_binary64`

Counts

164 → 168

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	455	9139
1	1427	8117
2	5090	8117

prune350.0ms (4.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	335	0	335
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	335	3	338

Error

Counts

338 → 3

Alt Table

Status	Error	Program
✓	29.3b	(*.f64 (sqrt.f64 (fma.f64 (-.f64 (+.f64 y t) 2) b (fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x)))) (sqrt.f64 (fma.f64 (-.f64 (+.f64 y t) 2) b (fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x)))))
▶	52.1b	(*.f64 (-.f64 b a) t)
✓	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 24627 to 11539 computations (53.1% saved)

localize3.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 b a) t)

series6.0ms (0.1%)

Counts

1 → 24

Calls

1 calls:

6.0ms

(*.f64 (-.f64 b a) t)

rewrite5.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-sqr-sqrt_binary64`
5×	`associate-l_binary64`
5×	`*-un-lft-identity_binary64`
3×	`associate-r_binary64`
3×	`add-cube-cbrt_binary64`

Counts

1 → 24

Calls

1 calls:

4.0ms

(*.f64 (-.f64 b a) t)

simplify58.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

711×	`neg-mul-1_binary64`
694×	`distribute-rgt-in_binary64`
692×	`distribute-lft-in_binary64`
570×	`distribute-rgt-neg-out_binary64`
486×	`unsub-neg_binary64`

Counts

48 → 40

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	53	486
1	119	393
2	334	393
3	916	393
4	2897	393
5	4515	393
6	5422	393

prune14.0ms (0.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	40	0	40
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	40	3	43

Error

Counts

43 → 3

Alt Table

Status	Error	Program
✓	29.3b	(*.f64 (sqrt.f64 (fma.f64 (-.f64 (+.f64 y t) 2) b (fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x)))) (sqrt.f64 (fma.f64 (-.f64 (+.f64 y t) 2) b (fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x)))))
✓	52.1b	(*.f64 (-.f64 b a) t)
✓	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 508 to 174 computations (65.7% saved)

regimes371.0ms (4.9%)

Accuracy

Total 0.0b remaining (25.2%)

Threshold costs 0.0b (25.2%)

Counts

52 → 1

Compiler

Compiled 8944 to 5969 computations (33.3% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative_binary64`
5×	`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	16	25
1	26	25
2	34	25
3	38	25
4	40	25
5	38	25

end66.0ms (0.9%)

Compiler: Compiled 128 to 84 computations (34.4% saved)

Details

analyze2.2s (29.1%)

sample2.1s (27.1%)

simplify57.0ms (0.8%)

prune4.0ms (0%)

localize12.0ms (0.2%)

series31.0ms (0.4%)

rewrite1.0ms (0%)

simplify64.0ms (0.8%)

prune39.0ms (0.5%)

localize16.0ms (0.2%)

series2.1s (27.6%)

rewrite14.0ms (0.2%)

simplify116.0ms (1.5%)

prune350.0ms (4.6%)

localize3.0ms (0%)

series6.0ms (0.1%)

rewrite5.0ms (0.1%)

simplify58.0ms (0.8%)

prune14.0ms (0.2%)

regimes371.0ms (4.9%)

simplify3.0ms (0%)

end66.0ms (0.9%)

Profiling