Details

analyze1.2s (33.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
18.7%	81.1%	0.2%	10
26.5%	71.5%	1.9%	11
28.8%	66%	5.2%	12
32.7%	58.7%	8.5%	13
41.9%	48.4%	9.7%	14

Compiler

Compiled 20 to 13 computations (35% saved)

sample1.5s (41.6%)

Results

1.0s	7999×	body	128	valid
247.0ms	1927×	body	128	invalid
45.0ms	111×	body	1024	valid
34.0ms	96×	body	512	valid
9.0ms	50×	body	256	valid

Compiler

Compiled 59 to 38 computations (35.6% saved)

simplify19.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

594×	`fma-def_binary64`
317×	`associate-+l+_binary64`
210×	`associate-+r+_binary64`
79×	`distribute-rgt-in_binary64`
73×	`distribute-lft-in_binary64`

Counts

1 → 2

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	20
1	32	17
2	87	15
3	232	15
4	484	15
5	761	15
6	922	15
7	936	15
8	916	15

prune3.0ms (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 x (fma.f64 (+.f64 y z) 2 t) (*.f64 y 5))

Compiler

Compiled 60 to 37 computations (38.3% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 (+.f64 y z) 2 t)
✓	0.0b	(fma.f64 x (fma.f64 (+.f64 y z) 2 t) (*.f64 y 5))

series42.0ms (1.2%)

Counts

2 → 84

Calls

2 calls:

37.0ms	(fma.f64 x (fma.f64 (+.f64 y z) 2 t) (*.f64 y 5))
6.0ms	(fma.f64 (+.f64 y z) 2 t)

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 20

Calls

2 calls:

0.0ms	(fma.f64 x (fma.f64 (+.f64 y z) 2 t) (*.f64 y 5))
0.0ms	(fma.f64 (+.f64 y z) 2 t)

simplify61.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

728×	`associate-+l+_binary64`
725×	`associate-+r+_binary64`
391×	`fma-def_binary64`
304×	`associate-l_binary64`
281×	`associate-r_binary64`

Counts

104 → 66

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	56	1589
1	110	1188
2	216	1183
3	739	1183
4	2144	1183
5	4933	1183

prune55.0ms (1.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	64	2	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	2	67

Error

0.0b

Counts

67 → 2

Alt Table

Status	Error	Program
▶	0.0b	(fma.f64 5 y (*.f64 x (fma.f64 2 (+.f64 y z) t)))
	0.0b	(fma.f64 x (+.f64 (.f64 2 y) (+.f64 t (.f64 2 z))) (*.f64 y 5))

Compiler

Compiled 967 to 524 computations (45.8% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 2 (+.f64 y z) t)
✓	0.0b	(*.f64 x (fma.f64 2 (+.f64 y z) t))
✓	0.0b	(fma.f64 5 y (*.f64 x (fma.f64 2 (+.f64 y z) t)))

series41.0ms (1.1%)

Counts

3 → 132

Calls

3 calls:

20.0ms	(*.f64 x (fma.f64 2 (+.f64 y z) t))
16.0ms	(fma.f64 5 y (*.f64 x (fma.f64 2 (+.f64 y z) t)))
6.0ms	(fma.f64 2 (+.f64 y z) t)

rewrite8.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 42

Calls

3 calls:

6.0ms	(*.f64 x (fma.f64 2 (+.f64 y z) t))
0.0ms	(fma.f64 5 y (*.f64 x (fma.f64 2 (+.f64 y z) t)))
0.0ms	(fma.f64 2 (+.f64 y z) t)

simplify137.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

871×	`fma-def_binary64`
401×	`associate-*l/_binary64`
340×	`*-commutative_binary64`
314×	`sqr-pow_binary64`
278×	`distribute-lft-in_binary64`

Counts

174 → 111

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	85	2547
1	173	1976
2	438	1972
3	1590	1972
4	2623	1972
5	2935	1972
6	3337	1972
7	4839	1972
8	4814	1972

prune74.0ms (2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	111	2	113

Error

0.0b

Counts

113 → 2

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 5 y (*.f64 x (fma.f64 2 (+.f64 y z) t)))
▶	0.0b	(fma.f64 x (+.f64 (.f64 2 y) (+.f64 t (.f64 2 z))) (*.f64 y 5))

Compiler

Compiled 1684 to 881 computations (47.7% saved)

localize10.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x (+.f64 (.f64 2 y) (+.f64 t (.f64 2 z))) (*.f64 y 5))

series20.0ms (0.5%)

Counts

1 → 48

Calls

1 calls:

20.0ms

(fma.f64 x (+.f64 (*.f64 2 y) (+.f64 t (*.f64 2 z))) (*.f64 y 5))

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 x (+.f64 (*.f64 2 y) (+.f64 t (*.f64 2 z))) (*.f64 y 5))

simplify91.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

547×	`*-commutative_binary64`
536×	`associate-+l+_binary64`
532×	`associate-+r+_binary64`
488×	`unswap-sqr_binary64`
304×	`fma-def_binary64`

Counts

58 → 36

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	1164
1	92	876
2	178	871
3	567	822
4	1600	822
5	3443	822
6	4578	822
7	4483	822
8	5085	822

prune18.0ms (0.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	36	0	36
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	36	2	38

Error

0.0b

Counts

38 → 2

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 5 y (*.f64 x (fma.f64 2 (+.f64 y z) t)))
✓	0.0b	(fma.f64 x (+.f64 (.f64 2 y) (+.f64 t (.f64 2 z))) (*.f64 y 5))

Compiler

Compiled 574 to 344 computations (40.1% saved)

regimes264.0ms (7.2%)

Accuracy

Total 0.0b remaining (12.7%)

Threshold costs 0.0b (12.7%)

Counts

55 → 1

Compiler

Compiled 3673 to 2616 computations (28.8% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	15
1	13	15
2	13	15

end52.0ms (1.4%)

Compiler: Compiled 63 to 43 computations (31.7% saved)

Details

analyze1.2s (33.3%)

sample1.5s (41.6%)

simplify19.0ms (0.5%)

prune3.0ms (0.1%)

localize7.0ms (0.2%)

series42.0ms (1.2%)

rewrite1.0ms (0%)

simplify61.0ms (1.7%)

prune55.0ms (1.5%)

localize9.0ms (0.2%)

series41.0ms (1.1%)

rewrite8.0ms (0.2%)

simplify137.0ms (3.8%)

prune74.0ms (2%)

localize10.0ms (0.3%)

series20.0ms (0.5%)

rewrite1.0ms (0%)

simplify91.0ms (2.5%)

prune18.0ms (0.5%)

regimes264.0ms (7.2%)

simplify2.0ms (0.1%)

end52.0ms (1.4%)

Profiling