Details

analyze309.0ms (11.8%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
0%	0%	99.8%	0.2%	0%	0%	0%	5
0%	0%	99.8%	0.2%	0%	0%	0%	6
0%	0%	99.8%	0.2%	0%	0%	0%	7
0%	0%	99.8%	0.2%	0%	0%	0%	8
6.3%	6.2%	93.6%	0.2%	0%	0%	0%	9
9.4%	9.4%	90.4%	0.2%	0%	0%	0%	10
14.1%	14%	85.8%	0.2%	0%	0%	0%	11
19.6%	18.7%	76.8%	0.2%	4.3%	0%	0%	12

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample1.3s (49.8%)

Results

942.0ms	8256×	body	256	valid
345.0ms	2078×	body	256	infinite

Bogosity

preprocess20.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

13×	`fma-def_binary64`
6×	`*-commutative_binary64`
3×	`+-commutative_binary64`
1×	`swap-x.im-y.re`
1×	`swap-x.re-y.im`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	56
1	34	56
2	40	56
0	4	4
1	4	4

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
1
3
0

Call 2

Inputs
(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))
(+.f64 (.f64 x.im y.im) (.f64 x.re y.re))
(+.f64 (.f64 y.re y.im) (.f64 x.im x.re))
(+.f64 (.f64 y.im x.re) (.f64 x.im y.re))
(+.f64 (.f64 x.re y.im) (.f64 y.re x.im))
(+.f64 (.f64 x.re x.im) (.f64 y.im y.re))
(+.f64 (.f64 x.re y.re) (.f64 x.im y.im))

Outputs
(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))
(fma.f64 x.re y.im (*.f64 x.im y.re))
(+.f64 (.f64 x.im y.im) (.f64 x.re y.re))
(fma.f64 x.re y.re (*.f64 y.im x.im))
(+.f64 (.f64 y.re y.im) (.f64 x.im x.re))
(fma.f64 x.re x.im (*.f64 y.im y.re))
(+.f64 (.f64 y.im x.re) (.f64 x.im y.re))
(fma.f64 x.re y.im (*.f64 x.im y.re))
(+.f64 (.f64 x.re y.im) (.f64 y.re x.im))
(fma.f64 x.re y.im (*.f64 x.im y.re))
(+.f64 (.f64 x.re x.im) (.f64 y.im y.re))
(fma.f64 x.re x.im (*.f64 y.im y.re))
(+.f64 (.f64 x.re y.re) (.f64 x.im y.im))
(fma.f64 x.re y.re (*.f64 y.im x.im))

Symmetry

(sort x.re y.im)

(sort x.im y.re)

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
2×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	8
1	12	8
2	15	8

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))

Outputs
(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))
(fma.f64 x.re y.im (*.f64 x.im y.re))

eval1.0ms (0%)

Compiler: Compiled 17 to 8 computations (52.9% saved)

prune1.0ms (0.1%)

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

Click to see full alt table

Status	Error	Program
▶	0b	(fma.f64 x.re y.im (*.f64 x.im y.re))
▶	0.0b	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))

Compiler

Compiled 21 to 13 computations (38.1% saved)

localize41.0ms (1.6%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))

Compiler

Compiled 21 to 7 computations (66.7% saved)

series6.0ms (0.2%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x.re	@	0	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))
1.0ms	x.im	@	0	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))
0.0ms	x.re	@	-inf	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))
0.0ms	x.re	@	inf	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))
0.0ms	x.im	@	-inf	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))

rewrite64.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

903×	`pow1_binary64`
833×	`add-log-exp_binary64`
833×	`log1p-expm1-u_binary64`
833×	`expm1-log1p-u_binary64`
814×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	8
1	168	8
2	2270	8

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

Inputs
(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x.re y.im (.f64 x.im y.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (.f64 x.re y.im) 2) (-.f64 (.f64 x.re y.im) (.f64 x.im y.re))) (/.f64 (pow.f64 (.f64 x.im y.re) 2) (-.f64 (.f64 x.re y.im) (.f64 x.im y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x.re y.im (.f64 x.im y.re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x.re y.im (.f64 x.im y.re)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x.re y.im (.f64 x.im y.re))) (pow.f64 (cbrt.f64 (fma.f64 x.re y.im (.f64 x.im y.re))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x.re y.im (.f64 x.im y.re))) 2) (cbrt.f64 (fma.f64 x.re y.im (.f64 x.im y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x.re y.im (.f64 x.im y.re))) (sqrt.f64 (fma.f64 x.re y.im (.f64 x.im y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (.f64 x.re y.im) 3) (pow.f64 (.f64 x.im y.re) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 x.re y.im) 2) (.f64 (.f64 x.im y.re) (-.f64 (.f64 x.im y.re) (.f64 x.re y.im))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (.f64 x.re y.im) 2) (pow.f64 (.f64 x.im y.re) 2)) (/.f64 1 (-.f64 (.f64 x.re y.im) (.f64 x.im y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 x.re y.im) 2) (.f64 (.f64 x.im y.re) (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)))) (+.f64 (pow.f64 (.f64 x.re y.im) 3) (pow.f64 (.f64 x.im y.re) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (.f64 x.re y.im) (.f64 x.im y.re)) (-.f64 (pow.f64 (.f64 x.re y.im) 2) (pow.f64 (.f64 x.im y.re) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x.re y.im) 3) (pow.f64 (.f64 x.im y.re) 3)) (+.f64 (pow.f64 (.f64 x.re y.im) 2) (.f64 (.f64 x.im y.re) (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x.re y.im) 3) (pow.f64 (.f64 x.im y.re) 3)) (+.f64 (pow.f64 (.f64 x.im y.re) 2) (-.f64 (pow.f64 (.f64 x.re y.im) 2) (.f64 (.f64 x.re y.im) (.f64 x.im y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 x.re y.im) 2) (pow.f64 (.f64 x.im y.re) 2)) (-.f64 (.f64 x.re y.im) (.f64 x.im y.re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x.re y.im) 3) (pow.f64 (.f64 x.im y.re) 3))) (neg.f64 (+.f64 (pow.f64 (.f64 x.re y.im) 2) (.f64 (.f64 x.im y.re) (-.f64 (.f64 x.im y.re) (.f64 x.re y.im))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x.re y.im) 2) (pow.f64 (.f64 x.im y.re) 2))) (neg.f64 (-.f64 (.f64 x.re y.im) (.f64 x.im y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 x.im y.re) 2) (pow.f64 (.f64 x.re y.im) 2)) (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x.re y.im (.f64 x.im y.re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x.re y.im (.f64 x.im y.re)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x.re y.im (.f64 x.im y.re))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x.re y.im (.f64 x.im y.re))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x.re y.im (.f64 x.im y.re)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x.re y.im (.f64 x.im y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x.re y.im (.f64 x.im y.re)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x.re y.im (.f64 x.im y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x.re y.im (.f64 x.im y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x.re y.im (.f64 x.im y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x.re y.im (.f64 x.im y.re))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y.im x.re (.f64 x.im y.re))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x.im y.re (.f64 x.re y.im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y.re x.im (.f64 x.re y.im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x.re y.im) (.f64 x.im y.re))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x.im y.re) (.f64 x.re y.im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 x.im y.re)) 2) (cbrt.f64 (.f64 x.im y.re)) (.f64 x.re y.im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 x.re y.im)) 2) (cbrt.f64 (.f64 x.re y.im)) (.f64 x.im y.re))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x.im y.re)) (sqrt.f64 (.f64 x.im y.re)) (.f64 x.re y.im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 x.re y.im)) (sqrt.f64 (.f64 x.re y.im)) (*.f64 x.im y.re))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x.re y.im (*.f64 x.im y.re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x.re y.im) 2) (-.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))) (/.f64 (pow.f64 (*.f64 x.im y.re) 2) (-.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x.re y.im (*.f64 x.im y.re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x.re y.im (*.f64 x.im y.re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x.re y.im (*.f64 x.im y.re))) (pow.f64 (cbrt.f64 (fma.f64 x.re y.im (*.f64 x.im y.re))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re y.im (*.f64 x.im y.re))) 2) (cbrt.f64 (fma.f64 x.re y.im (*.f64 x.im y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x.re y.im (*.f64 x.im y.re))) (sqrt.f64 (fma.f64 x.re y.im (*.f64 x.im y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 x.re y.im) 3) (pow.f64 (*.f64 x.im y.re) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x.re y.im) 2) (*.f64 (*.f64 x.im y.re) (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 x.re y.im) 2) (pow.f64 (*.f64 x.im y.re) 2)) (/.f64 1 (-.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x.re y.im) 2) (*.f64 (*.f64 x.im y.re) (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)))) (+.f64 (pow.f64 (*.f64 x.re y.im) 3) (pow.f64 (*.f64 x.im y.re) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 x.re y.im) (*.f64 x.im y.re)) (-.f64 (pow.f64 (*.f64 x.re y.im) 2) (pow.f64 (*.f64 x.im y.re) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x.re y.im) 3) (pow.f64 (*.f64 x.im y.re) 3)) (+.f64 (pow.f64 (*.f64 x.re y.im) 2) (*.f64 (*.f64 x.im y.re) (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x.re y.im) 3) (pow.f64 (*.f64 x.im y.re) 3)) (+.f64 (pow.f64 (*.f64 x.im y.re) 2) (-.f64 (pow.f64 (*.f64 x.re y.im) 2) (*.f64 (*.f64 x.re y.im) (*.f64 x.im y.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x.re y.im) 2) (pow.f64 (*.f64 x.im y.re) 2)) (-.f64 (*.f64 x.re y.im) (*.f64 x.im y.re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x.re y.im) 3) (pow.f64 (*.f64 x.im y.re) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 x.re y.im) 2) (*.f64 (*.f64 x.im y.re) (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x.re y.im) 2) (pow.f64 (*.f64 x.im y.re) 2))) (neg.f64 (-.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x.im y.re) 2) (pow.f64 (*.f64 x.re y.im) 2)) (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x.re y.im (*.f64 x.im y.re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x.re y.im (*.f64 x.im y.re)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x.re y.im (*.f64 x.im y.re))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x.re y.im (*.f64 x.im y.re))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x.re y.im (*.f64 x.im y.re)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x.re y.im (*.f64 x.im y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x.re y.im (*.f64 x.im y.re)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x.re y.im (*.f64 x.im y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x.re y.im (*.f64 x.im y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x.re y.im (*.f64 x.im y.re))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x.re y.im (*.f64 x.im y.re))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y.im x.re (*.f64 x.im y.re))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x.im y.re (*.f64 x.re y.im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y.re x.im (*.f64 x.re y.im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x.re y.im) (*.f64 x.im y.re))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x.im y.re) (*.f64 x.re y.im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x.im y.re)) 2) (cbrt.f64 (*.f64 x.im y.re)) (*.f64 x.re y.im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x.re y.im)) 2) (cbrt.f64 (*.f64 x.re y.im)) (*.f64 x.im y.re))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x.im y.re)) (sqrt.f64 (*.f64 x.im y.re)) (*.f64 x.re y.im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x.re y.im)) (sqrt.f64 (*.f64 x.re y.im)) (*.f64 x.im y.re))))))

simplify12.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
2×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	336
1	13	336
2	15	336

Stop Event

1×

saturated

Counts

85 → 41

Calls

Call 1

Inputs
(*.f64 y.re x.im)
(+.f64 (.f64 x.re y.im) (.f64 y.re x.im))
(+.f64 (.f64 x.re y.im) (.f64 y.re x.im))
(+.f64 (.f64 x.re y.im) (.f64 y.re x.im))
(*.f64 x.re y.im)
(+.f64 (.f64 y.re x.im) (.f64 x.re y.im))
(+.f64 (.f64 y.re x.im) (.f64 x.re y.im))
(+.f64 (.f64 y.re x.im) (.f64 x.re y.im))
(*.f64 x.re y.im)
(+.f64 (.f64 y.re x.im) (.f64 x.re y.im))
(+.f64 (.f64 y.re x.im) (.f64 x.re y.im))
(+.f64 (.f64 y.re x.im) (.f64 x.re y.im))
(*.f64 y.re x.im)
(+.f64 (.f64 x.re y.im) (.f64 y.re x.im))
(+.f64 (.f64 x.re y.im) (.f64 y.re x.im))
(+.f64 (.f64 x.re y.im) (.f64 y.re x.im))
(*.f64 x.re y.im)
(+.f64 (.f64 y.re x.im) (.f64 x.re y.im))
(+.f64 (.f64 y.re x.im) (.f64 x.re y.im))
(+.f64 (.f64 y.re x.im) (.f64 x.re y.im))
(*.f64 x.re y.im)
(+.f64 (.f64 y.re x.im) (.f64 x.re y.im))
(+.f64 (.f64 y.re x.im) (.f64 x.re y.im))
(+.f64 (.f64 y.re x.im) (.f64 x.re y.im))
(*.f64 x.re y.im)
(+.f64 (.f64 y.re x.im) (.f64 x.re y.im))
(+.f64 (.f64 y.re x.im) (.f64 x.re y.im))
(+.f64 (.f64 y.re x.im) (.f64 x.re y.im))
(*.f64 y.re x.im)
(+.f64 (.f64 x.re y.im) (.f64 y.re x.im))
(+.f64 (.f64 x.re y.im) (.f64 y.re x.im))
(+.f64 (.f64 x.re y.im) (.f64 y.re x.im))
(*.f64 y.re x.im)
(+.f64 (.f64 x.re y.im) (.f64 y.re x.im))
(+.f64 (.f64 x.re y.im) (.f64 y.re x.im))
(+.f64 (.f64 x.re y.im) (.f64 y.re x.im))
(*.f64 x.re y.im)
(+.f64 (.f64 y.re x.im) (.f64 x.re y.im))
(+.f64 (.f64 y.re x.im) (.f64 x.re y.im))
(+.f64 (.f64 y.re x.im) (.f64 x.re y.im))
(*.f64 y.re x.im)
(+.f64 (.f64 x.re y.im) (.f64 y.re x.im))
(+.f64 (.f64 x.re y.im) (.f64 y.re x.im))
(+.f64 (.f64 x.re y.im) (.f64 y.re x.im))
(*.f64 y.re x.im)
(+.f64 (.f64 x.re y.im) (.f64 y.re x.im))
(+.f64 (.f64 x.re y.im) (.f64 y.re x.im))
(+.f64 (.f64 x.re y.im) (.f64 y.re x.im))

Outputs
(*.f64 y.re x.im)
(+.f64 (.f64 x.re y.im) (.f64 y.re x.im))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(+.f64 (.f64 x.re y.im) (.f64 y.re x.im))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(+.f64 (.f64 x.re y.im) (.f64 y.re x.im))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(*.f64 x.re y.im)
(+.f64 (.f64 y.re x.im) (.f64 x.re y.im))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(+.f64 (.f64 y.re x.im) (.f64 x.re y.im))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(+.f64 (.f64 y.re x.im) (.f64 x.re y.im))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(*.f64 x.re y.im)
(+.f64 (.f64 y.re x.im) (.f64 x.re y.im))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(+.f64 (.f64 y.re x.im) (.f64 x.re y.im))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(+.f64 (.f64 y.re x.im) (.f64 x.re y.im))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(*.f64 y.re x.im)
(+.f64 (.f64 x.re y.im) (.f64 y.re x.im))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(+.f64 (.f64 x.re y.im) (.f64 y.re x.im))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(+.f64 (.f64 x.re y.im) (.f64 y.re x.im))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(*.f64 x.re y.im)
(+.f64 (.f64 y.re x.im) (.f64 x.re y.im))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(+.f64 (.f64 y.re x.im) (.f64 x.re y.im))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(+.f64 (.f64 y.re x.im) (.f64 x.re y.im))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(*.f64 x.re y.im)
(+.f64 (.f64 y.re x.im) (.f64 x.re y.im))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(+.f64 (.f64 y.re x.im) (.f64 x.re y.im))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(+.f64 (.f64 y.re x.im) (.f64 x.re y.im))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(*.f64 x.re y.im)
(+.f64 (.f64 y.re x.im) (.f64 x.re y.im))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(+.f64 (.f64 y.re x.im) (.f64 x.re y.im))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(+.f64 (.f64 y.re x.im) (.f64 x.re y.im))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(*.f64 y.re x.im)
(+.f64 (.f64 x.re y.im) (.f64 y.re x.im))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(+.f64 (.f64 x.re y.im) (.f64 y.re x.im))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(+.f64 (.f64 x.re y.im) (.f64 y.re x.im))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(*.f64 y.re x.im)
(+.f64 (.f64 x.re y.im) (.f64 y.re x.im))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(+.f64 (.f64 x.re y.im) (.f64 y.re x.im))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(+.f64 (.f64 x.re y.im) (.f64 y.re x.im))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(*.f64 x.re y.im)
(+.f64 (.f64 y.re x.im) (.f64 x.re y.im))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(+.f64 (.f64 y.re x.im) (.f64 x.re y.im))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(+.f64 (.f64 y.re x.im) (.f64 x.re y.im))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(*.f64 y.re x.im)
(+.f64 (.f64 x.re y.im) (.f64 y.re x.im))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(+.f64 (.f64 x.re y.im) (.f64 y.re x.im))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(+.f64 (.f64 x.re y.im) (.f64 y.re x.im))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(*.f64 y.re x.im)
(+.f64 (.f64 x.re y.im) (.f64 y.re x.im))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(+.f64 (.f64 x.re y.im) (.f64 y.re x.im))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(+.f64 (.f64 x.re y.im) (.f64 y.re x.im))
(fma.f64 y.re x.im (*.f64 x.re y.im))

localize6.0ms (0.2%)

Compiler: Compiled 17 to 6 computations (64.7% saved)

eval138.0ms (5.3%)

Compiler: Compiled 558 to 171 computations (69.4% saved)

prune8.0ms (0.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	39	4	43

Error

Counts

43 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))
▶	31.8b	(*.f64 y.re x.im)
▶	29.3b	(*.f64 x.re y.im)
✓	0b	(fma.f64 x.re y.im (*.f64 x.im y.re))

Compiler

Compiled 35 to 23 computations (34.3% saved)

localize4.0ms (0.1%)

Compiler: Compiled 9 to 5 computations (44.4% saved)

localize4.0ms (0.1%)

Compiler: Compiled 9 to 5 computations (44.4% saved)

eval0.0ms (0%)

Compiler: Compiled 4 to 4 computations (0% saved)

prune2.0ms (0.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	3	3
Total	4	4

Error

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))
✓	31.8b	(*.f64 y.re x.im)
✓	29.3b	(*.f64 x.re y.im)
✓	0b	(fma.f64 x.re y.im (*.f64 x.im y.re))

Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes35.0ms (1.3%)

Counts

4 → 1

Calls

Call 1

Inputs
(*.f64 y.re x.im)
(*.f64 x.re y.im)
(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))
(fma.f64 x.re y.im (*.f64 x.im y.re))

Outputs
(fma.f64 x.re y.im (*.f64 x.im y.re))

Calls

8 calls:

5.0ms	(*.f64 x.im y.re)
5.0ms	y.im
4.0ms	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))
4.0ms	x.re
4.0ms	(*.f64 x.re y.im)

Results

Error	Segments	Branch
0b	1	`x.re`
0b	1	`x.im`
0b	1	`y.re`
0b	1	`y.im`
0b	1	`(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))`
0b	1	`(*.f64 x.re y.im)`
0b	1	`(*.f64 x.re y.im)`
0b	1	`(*.f64 x.im y.re)`

Compiler

Compiled 75 to 47 computations (37.3% saved)

regimes61.0ms (2.3%)

Counts

3 → 1

Calls

Call 1

Inputs
(*.f64 y.re x.im)
(*.f64 x.re y.im)
(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))

Outputs
(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))

Calls

7 calls:

36.0ms	(*.f64 x.re y.im)
5.0ms	x.re
4.0ms	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))
4.0ms	y.im
4.0ms	x.im

Results

Error	Segments	Branch
0.0b	1	`x.re`
0.0b	1	`x.im`
0.0b	1	`y.re`
0.0b	1	`y.im`
0.0b	1	`(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))`
0.0b	1	`(*.f64 x.re y.im)`
0.0b	1	`(*.f64 x.im y.re)`

Compiler

Compiled 62 to 41 computations (33.9% saved)

regimes290.0ms (11.1%)

Accuracy

Total -51.4b remaining (-579.9%)

Threshold costs -51.4b (-579.9%)

Counts

2 → 7

Calls

Call 1

Inputs
(*.f64 y.re x.im)
(*.f64 x.re y.im)

Outputs
(*.f64 x.re y.im)
(*.f64 y.re x.im)
(*.f64 x.re y.im)
(*.f64 y.re x.im)
(*.f64 x.re y.im)
(*.f64 y.re x.im)
(*.f64 x.re y.im)

Calls

5 calls:

112.0ms	y.im
98.0ms	x.im
39.0ms	y.re
22.0ms	x.re
18.0ms	(*.f64 x.re y.im)

Results

Error	Segments	Branch
17.5b	3	`x.re`
16.0b	7	`x.im`
17.7b	5	`y.re`
14.6b	7	`y.im`
8.9b	7	`(*.f64 x.re y.im)`

Compiler

Compiled 37 to 27 computations (27% saved)

bsearch183.0ms (7%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
16.0ms	134189840897.28079	26112054921500.18
29.0ms	2.496716083824401e-7	0.003394499507575107
32.0ms	6.692800405666676e-85	7.10534396980777e-83
33.0ms	-5.589718052515716e-45	-1.0615987342476225e-46
32.0ms	-19937933925649.48	-5306360604718.119
40.0ms	-1.4674780298529447e+62	-6.259661192195114e+60

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	104
1	33	104

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(fma.f64 x.re y.im (*.f64 x.im y.re))
(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))
(if (<=.f64 (.f64 x.re y.im) -146747802985294473618879317555297447913667433477959904892289024) (.f64 x.re y.im) (if (<=.f64 (.f64 x.re y.im) -5104111084966267/256) (.f64 y.re x.im) (if (<=.f64 (.f64 x.re y.im) -8982330595268777/1606938044258990275541962092341162602522202993782792835301376) (.f64 x.re y.im) (if (<=.f64 (.f64 x.re y.im) 5855533015248989/8749002899132047697490008908470485461412677723572849745703082425639811996797503692894052708092215296) (.f64 y.re x.im) (if (<=.f64 (.f64 x.re y.im) 1179040835149391/4722366482869645213696) (.f64 x.re y.im) (if (<=.f64 (.f64 x.re y.im) 4397132706522097/32768) (.f64 y.re x.im) (*.f64 x.re y.im)))))))
(*.f64 y.re x.im)

Outputs
(fma.f64 x.re y.im (*.f64 x.im y.re))
(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))
(if (<=.f64 (.f64 x.re y.im) -146747802985294473618879317555297447913667433477959904892289024) (.f64 x.re y.im) (if (<=.f64 (.f64 x.re y.im) -5104111084966267/256) (.f64 y.re x.im) (if (<=.f64 (.f64 x.re y.im) -8982330595268777/1606938044258990275541962092341162602522202993782792835301376) (.f64 x.re y.im) (if (<=.f64 (.f64 x.re y.im) 5855533015248989/8749002899132047697490008908470485461412677723572849745703082425639811996797503692894052708092215296) (.f64 y.re x.im) (if (<=.f64 (.f64 x.re y.im) 1179040835149391/4722366482869645213696) (.f64 x.re y.im) (if (<=.f64 (.f64 x.re y.im) 4397132706522097/32768) (.f64 y.re x.im) (*.f64 x.re y.im)))))))
(if (<=.f64 (.f64 x.re y.im) -146747802985294473618879317555297447913667433477959904892289024) (.f64 x.re y.im) (if (<=.f64 (.f64 x.re y.im) -5104111084966267/256) (.f64 x.im y.re) (if (<=.f64 (.f64 x.re y.im) -8982330595268777/1606938044258990275541962092341162602522202993782792835301376) (.f64 x.re y.im) (if (<=.f64 (.f64 x.re y.im) 5855533015248989/8749002899132047697490008908470485461412677723572849745703082425639811996797503692894052708092215296) (.f64 x.im y.re) (if (<=.f64 (.f64 x.re y.im) 1179040835149391/4722366482869645213696) (.f64 x.re y.im) (if (<=.f64 (.f64 x.re y.im) 4397132706522097/32768) (.f64 x.im y.re) (*.f64 x.re y.im)))))))
(*.f64 y.re x.im)
(*.f64 x.im y.re)

Compiler

Compiled 89 to 42 computations (52.8% saved)

soundness13.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
2×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	8
1	12	8
2	15	8

Stop Event

1×

saturated

Compiler

Compiled 21 to 13 computations (38.1% saved)

end105.0ms (4%)

Remove

(sort x.im y.re)

(sort x.re y.im)

Compiler

Compiled 117 to 50 computations (57.3% saved)

Details

analyze309.0ms (11.8%)

sample1.3s (49.8%)

preprocess20.0ms (0.8%)

simplify6.0ms (0.2%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize41.0ms (1.6%)

series6.0ms (0.2%)

rewrite64.0ms (2.4%)

simplify12.0ms (0.5%)

localize6.0ms (0.2%)

eval138.0ms (5.3%)

prune8.0ms (0.3%)

localize4.0ms (0.1%)

localize4.0ms (0.1%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes35.0ms (1.3%)

regimes61.0ms (2.3%)

regimes290.0ms (11.1%)

bsearch183.0ms (7%)

simplify6.0ms (0.2%)

soundness13.0ms (0.5%)

end105.0ms (4%)

Profiling