Details

analyze51.0ms (4.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
50%	43.7%	6.3%	7
59.3%	34.3%	6.3%	8
67.1%	23.4%	9.5%	9
72.6%	18%	9.5%	10
76.9%	12.1%	11%	11
79.8%	9.2%	11%	12

Compiler

Compiled 10 to 6 computations (40% saved)

sample876.0ms (75.1%)

Results

853.0ms	8256×	body	256	valid
13.0ms	147×	body	256	invalid

preprocess17.0ms (1.5%)

Algorithm

2×	egg-herbie

Rules

4×	`*-commutative_binary64`
4×	`associate-r_binary64`
3×	`count-2_binary64`
2×	`+-commutative_binary64`
2×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	16
1	11	14
2	17	14
3	22	14
4	28	14
0	2	2
1	2	2

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1
0

Call 2

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

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

Symmetry

(sort re im)

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify7.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
4×	`associate-r_binary64`
3×	`count-2_binary64`
2×	`associate-l_binary64`
2×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	8	7
2	15	7
3	20	7
4	26	7

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 14 to 7 computations (50% 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
▶	0.2b	(*.f64 im (+.f64 re re))
▶	0.0b	(+.f64 (.f64 re im) (.f64 im re))

Compiler

Compiled 16 to 9 computations (43.8% saved)

localize6.0ms (0.5%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 17 to 5 computations (70.6% saved)

series4.0ms (0.4%)

Counts

1 → 24

Calls

6 calls:

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

rewrite44.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

511×	`pow1_binary64`
493×	`add-sqr-sqrt_binary64`
476×	`add-log-exp_binary64`
475×	`log1p-expm1-u_binary64`
475×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	135	4
2	1521	4

Stop Event

1×	node limit

Counts

1 → 46

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 0 0)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (.f64 re im) 2) 0) (/.f64 (pow.f64 (.f64 re im) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 re (+.f64 im im))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 im (+.f64 re re))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 re im) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 0 0) (/.f64 0 0))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 0 0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 0 0))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 re im)) (+.f64 (pow.f64 (cbrt.f64 (.f64 re im)) 2) (pow.f64 (cbrt.f64 (.f64 re im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 re im)) 2) (+.f64 (cbrt.f64 (.f64 re im)) (cbrt.f64 (.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 re im)) (+.f64 (sqrt.f64 (.f64 re im)) (sqrt.f64 (.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (pow.f64 (.f64 re im) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 re im) 2) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 0 (/.f64 1 0))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 re im))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 0 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 re im) 2) 0) (.f64 2 (pow.f64 (.f64 re im) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (pow.f64 (.f64 re im) 3)) (+.f64 (pow.f64 (.f64 re im) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 0 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (pow.f64 (.f64 re im) 3)) (.f64 2 (pow.f64 (.f64 re im) 3))) (.f64 (+.f64 (pow.f64 (.f64 re im) 2) 0) (+.f64 (pow.f64 (.f64 re im) 2) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (.f64 2 (pow.f64 (.f64 re im) 3))) (cbrt.f64 (+.f64 (pow.f64 (.f64 re im) 2) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 0) (sqrt.f64 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (.f64 2 (pow.f64 (.f64 re im) 3))) (sqrt.f64 (+.f64 (pow.f64 (.f64 re im) 2) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 2 (pow.f64 (.f64 re im) 3))) (neg.f64 (+.f64 (pow.f64 (.f64 re im) 2) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 0 (.f64 2 (pow.f64 (.f64 re im) 3))) (.f64 0 (+.f64 (pow.f64 (.f64 re im) 2) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (pow.f64 (.f64 re im) 3)) 0) (.f64 (+.f64 (pow.f64 (.f64 re im) 2) 0) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (pow.f64 (.f64 re im) 3)) (/.f64 0 0)) (+.f64 (pow.f64 (.f64 re im) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 0 (/.f64 0 0)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 0 0) (.f64 2 (pow.f64 (.f64 re im) 3))) (+.f64 (pow.f64 (.f64 re im) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 0) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 0) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 0) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 0) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 0 0))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 0 0))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 0 0)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 0 0))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 re im (.f64 re im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 im re (.f64 re im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 re im) (.f64 re im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 re im)) 2) (cbrt.f64 (.f64 re im)) (.f64 re im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 re im)) (sqrt.f64 (.f64 re im)) (.f64 re im))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (.f64 re im)) (sqrt.f64 (.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 0 0)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 0 0)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 0 0)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 0 0)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 re im) 2) 0) (/.f64 (pow.f64 (*.f64 re im) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 re (+.f64 im im))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 im (+.f64 re re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 re im) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 0 0) (/.f64 0 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 0 0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 0 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 re im)) (+.f64 (pow.f64 (cbrt.f64 (*.f64 re im)) 2) (pow.f64 (cbrt.f64 (*.f64 re im)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 re im)) 2) (+.f64 (cbrt.f64 (*.f64 re im)) (cbrt.f64 (*.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 re im)) (+.f64 (sqrt.f64 (*.f64 re im)) (sqrt.f64 (*.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 (*.f64 re im) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 re im) 2) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 0 (/.f64 1 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 re im))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 0 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 re im) 2) 0) (*.f64 2 (pow.f64 (*.f64 re im) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 (*.f64 re im) 3)) (+.f64 (pow.f64 (*.f64 re im) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 0 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (pow.f64 (*.f64 re im) 3)) (*.f64 2 (pow.f64 (*.f64 re im) 3))) (*.f64 (+.f64 (pow.f64 (*.f64 re im) 2) 0) (+.f64 (pow.f64 (*.f64 re im) 2) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 2 (pow.f64 (*.f64 re im) 3))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 re im) 2) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 0) (sqrt.f64 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 2 (pow.f64 (*.f64 re im) 3))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 re im) 2) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (pow.f64 (*.f64 re im) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 re im) 2) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 0 (*.f64 2 (pow.f64 (*.f64 re im) 3))) (*.f64 0 (+.f64 (pow.f64 (*.f64 re im) 2) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (pow.f64 (*.f64 re im) 3)) 0) (*.f64 (+.f64 (pow.f64 (*.f64 re im) 2) 0) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (pow.f64 (*.f64 re im) 3)) (/.f64 0 0)) (+.f64 (pow.f64 (*.f64 re im) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 0 (/.f64 0 0)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 0 0) (*.f64 2 (pow.f64 (*.f64 re im) 3))) (+.f64 (pow.f64 (*.f64 re im) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 0) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 0) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 0) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 0) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 0 0))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 0 0))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 0 0)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 0 0))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 re im (*.f64 re im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 im re (*.f64 re im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 re im) (*.f64 re im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 re im)) 2) (cbrt.f64 (*.f64 re im)) (*.f64 re im))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 re im)) (sqrt.f64 (*.f64 re im)) (*.f64 re im))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (*.f64 re im)) (sqrt.f64 (*.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 0 0)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 0 0)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 0 0)))))))

simplify10.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	10	168
2	17	168
3	19	168

Stop Event

1×

saturated

Counts

70 → 47

Calls

Call 1

Inputs
(.f64 2 (.f64 re im))
(.f64 2 (.f64 re im))
(.f64 2 (.f64 re im))
(.f64 2 (.f64 re im))
(.f64 2 (.f64 re im))
(.f64 2 (.f64 re im))
(.f64 2 (.f64 re im))
(.f64 2 (.f64 re im))
(.f64 2 (.f64 re im))
(.f64 2 (.f64 re im))
(.f64 2 (.f64 re im))
(.f64 2 (.f64 re im))
(.f64 2 (.f64 re im))
(.f64 2 (.f64 re im))
(.f64 2 (.f64 re im))
(.f64 2 (.f64 re im))
(.f64 2 (.f64 re im))
(.f64 2 (.f64 re im))
(.f64 2 (.f64 re im))
(.f64 2 (.f64 re im))
(.f64 2 (.f64 re im))
(.f64 2 (.f64 re im))
(.f64 2 (.f64 re im))
(.f64 2 (.f64 re im))

Outputs
(.f64 2 (.f64 re im))
(.f64 im (.f64 2 re))
(.f64 2 (.f64 re im))
(.f64 im (.f64 2 re))
(.f64 2 (.f64 re im))
(.f64 im (.f64 2 re))
(.f64 2 (.f64 re im))
(.f64 im (.f64 2 re))
(.f64 2 (.f64 re im))
(.f64 im (.f64 2 re))
(.f64 2 (.f64 re im))
(.f64 im (.f64 2 re))
(.f64 2 (.f64 re im))
(.f64 im (.f64 2 re))
(.f64 2 (.f64 re im))
(.f64 im (.f64 2 re))
(.f64 2 (.f64 re im))
(.f64 im (.f64 2 re))
(.f64 2 (.f64 re im))
(.f64 im (.f64 2 re))
(.f64 2 (.f64 re im))
(.f64 im (.f64 2 re))
(.f64 2 (.f64 re im))
(.f64 im (.f64 2 re))
(.f64 2 (.f64 re im))
(.f64 im (.f64 2 re))
(.f64 2 (.f64 re im))
(.f64 im (.f64 2 re))
(.f64 2 (.f64 re im))
(.f64 im (.f64 2 re))
(.f64 2 (.f64 re im))
(.f64 im (.f64 2 re))
(.f64 2 (.f64 re im))
(.f64 im (.f64 2 re))
(.f64 2 (.f64 re im))
(.f64 im (.f64 2 re))
(.f64 2 (.f64 re im))
(.f64 im (.f64 2 re))
(.f64 2 (.f64 re im))
(.f64 im (.f64 2 re))
(.f64 2 (.f64 re im))
(.f64 im (.f64 2 re))
(.f64 2 (.f64 re im))
(.f64 im (.f64 2 re))
(.f64 2 (.f64 re im))
(.f64 im (.f64 2 re))
(.f64 2 (.f64 re im))
(.f64 im (.f64 2 re))

localize5.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.2b	(*.f64 im (+.f64 re re))
✓	0.2b	(*.f64 im (+.f64 re re))

Compiler

Compiled 12 to 4 computations (66.7% saved)

series2.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

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

rewrite36.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

540×	`pow1_binary64`
505×	`add-log-exp_binary64`
504×	`log1p-expm1-u_binary64`
504×	`expm1-log1p-u_binary64`
493×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	111	7
2	1630	7

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 im re) (.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 im re) 1) (.f64 (.f64 im re) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 im (+.f64 re re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 im re) 3) (pow.f64 (.f64 im re) 3)) (+.f64 (.f64 (.f64 im re) (.f64 im re)) (-.f64 (.f64 (.f64 im re) (.f64 im re)) (.f64 (.f64 im re) (.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 im re) (.f64 im re)) (.f64 (.f64 im re) (.f64 im re))) (-.f64 (.f64 im re) (.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (pow.f64 re 3)) im) (fma.f64 re re 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 0 im) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 im (.f64 2 (pow.f64 re 3))) (fma.f64 re re 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 im 0) 0)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 im (+.f64 re re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (+.f64 re re) (pow.f64 im 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (+.f64 re re) (cbrt.f64 im)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (+.f64 re re) (sqrt.f64 im)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 im (.f64 im (+.f64 re re))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 im) (+.f64 re re)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (+.f64 re re) (pow.f64 im 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 im re (.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 re im (.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 im (+.f64 re re))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 im (+.f64 re re))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 im (+.f64 re re))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 im re) (*.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 im re) 1) (*.f64 (*.f64 im re) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 im (+.f64 re re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 im re) 3) (pow.f64 (*.f64 im re) 3)) (+.f64 (*.f64 (*.f64 im re) (*.f64 im re)) (-.f64 (*.f64 (*.f64 im re) (*.f64 im re)) (*.f64 (*.f64 im re) (*.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 im re) (*.f64 im re)) (*.f64 (*.f64 im re) (*.f64 im re))) (-.f64 (*.f64 im re) (*.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (pow.f64 re 3)) im) (fma.f64 re re 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 0 im) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 im (*.f64 2 (pow.f64 re 3))) (fma.f64 re re 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 im 0) 0)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 im (+.f64 re re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 re re) (pow.f64 im 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 re re) (cbrt.f64 im)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 re re) (sqrt.f64 im)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 im (*.f64 im (+.f64 re re))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 im) (+.f64 re re)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (+.f64 re re) (pow.f64 im 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 im re (*.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 re im (*.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 im (+.f64 re re))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 im (+.f64 re re))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 im (+.f64 re re))))))))

simplify10.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	10	168
2	17	168
3	19	168

Stop Event

1×

saturated

Counts

45 → 23

Calls

Call 1

Inputs
(.f64 2 (.f64 re im))
(.f64 2 (.f64 re im))
(.f64 2 (.f64 re im))
(.f64 2 (.f64 re im))
(.f64 2 (.f64 re im))
(.f64 2 (.f64 re im))
(.f64 2 (.f64 re im))
(.f64 2 (.f64 re im))
(.f64 2 (.f64 re im))
(.f64 2 (.f64 re im))
(.f64 2 (.f64 re im))
(.f64 2 (.f64 re im))
(.f64 2 (.f64 re im))
(.f64 2 (.f64 re im))
(.f64 2 (.f64 re im))
(.f64 2 (.f64 re im))
(.f64 2 (.f64 re im))
(.f64 2 (.f64 re im))
(.f64 2 (.f64 re im))
(.f64 2 (.f64 re im))
(.f64 2 (.f64 re im))
(.f64 2 (.f64 re im))
(.f64 2 (.f64 re im))
(.f64 2 (.f64 re im))

Outputs
(.f64 2 (.f64 re im))
(.f64 im (.f64 2 re))
(.f64 2 (.f64 re im))
(.f64 im (.f64 2 re))
(.f64 2 (.f64 re im))
(.f64 im (.f64 2 re))
(.f64 2 (.f64 re im))
(.f64 im (.f64 2 re))
(.f64 2 (.f64 re im))
(.f64 im (.f64 2 re))
(.f64 2 (.f64 re im))
(.f64 im (.f64 2 re))
(.f64 2 (.f64 re im))
(.f64 im (.f64 2 re))
(.f64 2 (.f64 re im))
(.f64 im (.f64 2 re))
(.f64 2 (.f64 re im))
(.f64 im (.f64 2 re))
(.f64 2 (.f64 re im))
(.f64 im (.f64 2 re))
(.f64 2 (.f64 re im))
(.f64 im (.f64 2 re))
(.f64 2 (.f64 re im))
(.f64 im (.f64 2 re))
(.f64 2 (.f64 re im))
(.f64 im (.f64 2 re))
(.f64 2 (.f64 re im))
(.f64 im (.f64 2 re))
(.f64 2 (.f64 re im))
(.f64 im (.f64 2 re))
(.f64 2 (.f64 re im))
(.f64 im (.f64 2 re))
(.f64 2 (.f64 re im))
(.f64 im (.f64 2 re))
(.f64 2 (.f64 re im))
(.f64 im (.f64 2 re))
(.f64 2 (.f64 re im))
(.f64 im (.f64 2 re))
(.f64 2 (.f64 re im))
(.f64 im (.f64 2 re))
(.f64 2 (.f64 re im))
(.f64 im (.f64 2 re))
(.f64 2 (.f64 re im))
(.f64 im (.f64 2 re))
(.f64 2 (.f64 re im))
(.f64 im (.f64 2 re))
(.f64 2 (.f64 re im))
(.f64 im (.f64 2 re))

eval53.0ms (4.5%)

Compiler: Compiled 675 to 370 computations (45.2% saved)

prune10.0ms (0.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	70	2	72

Error

Counts

72 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0b	(*.f64 re (+.f64 im im))
▶	64.0b	(/.f64 0 0)

Compiler

Compiled 12 to 9 computations (25% saved)

localize3.0ms (0.2%)

Compiler: Compiled 6 to 6 computations (0% saved)

localize4.0ms (0.4%)

Compiler: Compiled 12 to 4 computations (66.7% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune2.0ms (0.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

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

Error

Counts

2 → 2

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(*.f64 re (+.f64 im im))
✓	64.0b	(/.f64 0 0)

Compiler

Compiled 12 to 9 computations (25% saved)

regimes7.0ms (0.6%)

Accuracy

Total -64.0b remaining (-∞%)

Threshold costs -64.0b (-∞%)

Counts

2 → 1

Calls

Call 1

Inputs
(/.f64 0 0)
(*.f64 re (+.f64 im im))

Outputs
(*.f64 re (+.f64 im im))

Calls

2 calls:

3.0ms	re
3.0ms	im

Results

Error	Segments	Branch
0b	1	`re`
0b	1	`im`

Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	8	11

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 re (+.f64 im im))
(/.f64 0 0)

Outputs
(*.f64 re (+.f64 im im))
(/.f64 0 0)

end17.0ms (1.5%)

Stop Event

1×

done

Remove

(sort re im)

Compiler

Compiled 36 to 24 computations (33.3% saved)

Details

analyze51.0ms (4.4%)

sample876.0ms (75.1%)

preprocess17.0ms (1.5%)

simplify7.0ms (0.6%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize6.0ms (0.5%)

series4.0ms (0.4%)

rewrite44.0ms (3.8%)

simplify10.0ms (0.8%)

localize5.0ms (0.4%)

series2.0ms (0.2%)

rewrite36.0ms (3.1%)

simplify10.0ms (0.8%)

eval53.0ms (4.5%)

prune10.0ms (0.8%)

localize3.0ms (0.2%)

localize4.0ms (0.4%)

eval0.0ms (0%)

prune2.0ms (0.2%)

regimes7.0ms (0.6%)

simplify2.0ms (0.1%)

end17.0ms (1.5%)

Profiling