Metrics for math.abs on complex (squared)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample559.0ms (60.1%)

Memory

33.3MiB live, 774.3MiB allocated; 183ms collecting garbage

Samples

327.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 113.0ms

ival-mult!: 95.0ms (83.9% of total)

ival-add!: 17.0ms (15% of total)

adjust: 2.0ms (1.8% of total)

Bogosity

explain57.0ms (6.1%)

Memory

2.0MiB live, 100.8MiB allocated; 8ms collecting garbage

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 (.f64 re re) (.f64 im im))`
-	-	`(*.f64 re re)`
-	-	`re`
-	-	`(*.f64 im im)`
-	-	`im`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

22.0ms

512×

valid

Compiler

Compiled 41 to 19 computations (53.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult!: 5.0ms (76.8% of total)

ival-add!: 1.0ms (15.4% of total)

adjust: 0.0ms (0% of total)

preprocess8.0ms (0.8%)

Memory

17.4MiB live, 17.4MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	44
1	43	44
2	91	44
3	115	44
4	147	44

Stop Event

1×

saturated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (.f64 re re) (.f64 im im))

Symmetry

(abs re)

(abs im)

(sort re im)

Compiler

Compiled 14 to 10 computations (28.6% saved)

series4.0ms (0.4%)

Memory

5.5MiB live, 5.5MiB allocated; 0ms collecting garbage

Counts

5 → 9

Calls

Call 1

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

Outputs
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (pow im 2)))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (+ (pow im 2) (pow re 2))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx re #s(hole binary64 re))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (pow re 2)))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx im #s(hole binary64 im))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))))

Calls

6 calls:

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

rewrite70.0ms (7.5%)

Memory

8.9MiB live, 98.1MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	114
0	31	114
1	124	114
0	1180	105

Stop Event

1×	iter-limit
1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

14 → 160

Calls

Call 1

Inputs
(+.f64 (.f64 re re) (.f64 im im))
(*.f64 re re)
re
(*.f64 im im)
im
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (pow im 2)))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (+ (pow im 2) (pow re 2))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx re #s(hole binary64 re))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (pow re 2)))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx im #s(hole binary64 im))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))))

Outputs
(/.f64 (-.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 (.f64 (neg.f64 im) im) #s(literal 3 binary64))) (+.f64 (pow.f64 re #s(literal 4 binary64)) (+.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (.f64 re re) (.f64 (neg.f64 im) im)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (neg.f64 (fma.f64 im im (*.f64 (neg.f64 re) re))))
(/.f64 (neg.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (neg.f64 (fma.f64 re re (*.f64 (neg.f64 im) im))))
(/.f64 (neg.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (neg.f64 (+.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))) (pow.f64 im #s(literal 4 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (neg.f64 (+.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 im im (*.f64 (neg.f64 re) re)))
(/.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 re re (*.f64 (neg.f64 im) im)))
(/.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (+.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))) (pow.f64 im #s(literal 4 binary64))))
(/.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (+.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64))))
(fma.f64 (.f64 (neg.f64 re) #s(literal 1 binary64)) (.f64 (neg.f64 re) #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 im)) im))
(fma.f64 (.f64 (neg.f64 re) #s(literal 1 binary64)) (.f64 (neg.f64 re) #s(literal 1 binary64)) (*.f64 im im))
(fma.f64 (.f64 (fabs.f64 re) #s(literal 1 binary64)) (.f64 (fabs.f64 re) #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 im)) im))
(fma.f64 (.f64 (fabs.f64 re) #s(literal 1 binary64)) (.f64 (fabs.f64 re) #s(literal 1 binary64)) (*.f64 im im))
(fma.f64 (.f64 re #s(literal 1 binary64)) (.f64 re #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 im)) im))
(fma.f64 (.f64 re #s(literal 1 binary64)) (.f64 re #s(literal 1 binary64)) (*.f64 im im))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 im)) (.f64 #s(literal 1 binary64) (neg.f64 im)) (*.f64 re re))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 im)) (neg.f64 im) (.f64 re re))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 im)) (.f64 #s(literal 1 binary64) (fabs.f64 im)) (*.f64 re re))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 im)) (fabs.f64 im) (.f64 re re))
(fma.f64 (.f64 #s(literal 1 binary64) im) (.f64 #s(literal 1 binary64) im) (*.f64 re re))
(fma.f64 (.f64 #s(literal 1 binary64) im) im (.f64 re re))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 re)) (.f64 #s(literal 1 binary64) (neg.f64 re)) (*.f64 (neg.f64 (neg.f64 im)) im))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 re)) (.f64 #s(literal 1 binary64) (neg.f64 re)) (*.f64 im im))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 re)) (neg.f64 re) (.f64 (neg.f64 (neg.f64 im)) im))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 re)) (neg.f64 re) (.f64 im im))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 re)) (.f64 #s(literal 1 binary64) (fabs.f64 re)) (*.f64 (neg.f64 (neg.f64 im)) im))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 re)) (.f64 #s(literal 1 binary64) (fabs.f64 re)) (*.f64 im im))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 re)) (fabs.f64 re) (.f64 (neg.f64 (neg.f64 im)) im))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 re)) (fabs.f64 re) (.f64 im im))
(fma.f64 (.f64 #s(literal 1 binary64) re) (.f64 #s(literal 1 binary64) re) (*.f64 (neg.f64 (neg.f64 im)) im))
(fma.f64 (.f64 #s(literal 1 binary64) re) (.f64 #s(literal 1 binary64) re) (*.f64 im im))
(fma.f64 (.f64 #s(literal 1 binary64) re) re (.f64 (neg.f64 (neg.f64 im)) im))
(fma.f64 (.f64 #s(literal 1 binary64) re) re (.f64 im im))
(fma.f64 (.f64 (neg.f64 im) #s(literal 1 binary64)) (.f64 (neg.f64 im) #s(literal 1 binary64)) (*.f64 re re))
(fma.f64 (.f64 (fabs.f64 im) #s(literal 1 binary64)) (.f64 (fabs.f64 im) #s(literal 1 binary64)) (*.f64 re re))
(fma.f64 (.f64 im #s(literal 1 binary64)) (.f64 im #s(literal 1 binary64)) (*.f64 re re))
(fma.f64 (neg.f64 (neg.f64 im)) (neg.f64 (neg.f64 im)) (*.f64 re re))
(fma.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 im)) (*.f64 re re))
(fma.f64 (neg.f64 (neg.f64 re)) (neg.f64 (neg.f64 re)) (*.f64 (neg.f64 (neg.f64 im)) im))
(fma.f64 (neg.f64 (neg.f64 re)) (neg.f64 (neg.f64 re)) (*.f64 im im))
(fma.f64 (neg.f64 (fabs.f64 re)) (neg.f64 (fabs.f64 re)) (*.f64 (neg.f64 (neg.f64 im)) im))
(fma.f64 (neg.f64 (fabs.f64 re)) (neg.f64 (fabs.f64 re)) (*.f64 im im))
(fma.f64 (fabs.f64 (fabs.f64 im)) (fabs.f64 (fabs.f64 im)) (*.f64 re re))
(fma.f64 (fabs.f64 (fabs.f64 re)) (fabs.f64 (fabs.f64 re)) (*.f64 (neg.f64 (neg.f64 im)) im))
(fma.f64 (fabs.f64 (fabs.f64 re)) (fabs.f64 (fabs.f64 re)) (*.f64 im im))
(fma.f64 (exp.f64 (log.f64 im)) (exp.f64 (log.f64 im)) (*.f64 re re))
(fma.f64 (exp.f64 (log.f64 re)) (exp.f64 (log.f64 re)) (*.f64 (neg.f64 (neg.f64 im)) im))
(fma.f64 (exp.f64 (log.f64 re)) (exp.f64 (log.f64 re)) (*.f64 im im))
(fma.f64 (neg.f64 im) (.f64 (neg.f64 im) #s(literal 1 binary64)) (.f64 re re))
(fma.f64 (neg.f64 im) (neg.f64 im) (*.f64 re re))
(fma.f64 (neg.f64 re) (.f64 (neg.f64 re) #s(literal 1 binary64)) (.f64 (neg.f64 (neg.f64 im)) im))
(fma.f64 (neg.f64 re) (.f64 (neg.f64 re) #s(literal 1 binary64)) (.f64 im im))
(fma.f64 (neg.f64 re) (neg.f64 re) (*.f64 (neg.f64 (neg.f64 im)) im))
(fma.f64 (neg.f64 re) (neg.f64 re) (*.f64 im im))
(fma.f64 (fabs.f64 im) (.f64 (fabs.f64 im) #s(literal 1 binary64)) (.f64 re re))
(fma.f64 (fabs.f64 im) (fabs.f64 im) (*.f64 re re))
(fma.f64 (fabs.f64 re) (.f64 (fabs.f64 re) #s(literal 1 binary64)) (.f64 (neg.f64 (neg.f64 im)) im))
(fma.f64 (fabs.f64 re) (.f64 (fabs.f64 re) #s(literal 1 binary64)) (.f64 im im))
(fma.f64 (fabs.f64 re) (fabs.f64 re) (*.f64 (neg.f64 (neg.f64 im)) im))
(fma.f64 (fabs.f64 re) (fabs.f64 re) (*.f64 im im))
(fma.f64 #s(literal 1 binary64) (.f64 re re) (.f64 (neg.f64 (neg.f64 im)) im))
(fma.f64 #s(literal 1 binary64) (.f64 re re) (.f64 im im))
(fma.f64 #s(literal 1 binary64) (.f64 im im) (.f64 re re))
(fma.f64 (.f64 re re) #s(literal 1 binary64) (.f64 (neg.f64 (neg.f64 im)) im))
(fma.f64 (.f64 re re) #s(literal 1 binary64) (.f64 im im))
(fma.f64 (.f64 im im) #s(literal 1 binary64) (.f64 re re))
(fma.f64 im (.f64 im #s(literal 1 binary64)) (.f64 re re))
(fma.f64 im im (*.f64 re re))
(fma.f64 re (.f64 re #s(literal 1 binary64)) (.f64 (neg.f64 (neg.f64 im)) im))
(fma.f64 re (.f64 re #s(literal 1 binary64)) (.f64 im im))
(fma.f64 re re (*.f64 (neg.f64 (neg.f64 im)) im))
(fma.f64 re re (*.f64 im im))
(-.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 im im (.f64 (neg.f64 re) re))) (/.f64 (pow.f64 re #s(literal 4 binary64)) (fma.f64 im im (.f64 (neg.f64 re) re))))
(-.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (fma.f64 re re (.f64 (neg.f64 im) im))) (/.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 re re (.f64 (neg.f64 im) im))))
(-.f64 (.f64 re re) (.f64 (neg.f64 im) im))
(-.f64 (.f64 im im) (.f64 (neg.f64 re) re))
(+.f64 (/.f64 (pow.f64 im #s(literal 6 binary64)) (+.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (.f64 im re) #s(literal 2 binary64))) (pow.f64 im #s(literal 4 binary64)))) (/.f64 (pow.f64 re #s(literal 6 binary64)) (+.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (.f64 im re) #s(literal 2 binary64))) (pow.f64 im #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 re #s(literal 6 binary64)) (+.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64)))) (/.f64 (pow.f64 im #s(literal 6 binary64)) (+.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64)))))
(+.f64 (.f64 re re) (.f64 (neg.f64 (neg.f64 im)) im))
(+.f64 (.f64 re re) (.f64 im im))
(+.f64 (.f64 im im) (.f64 re re))
(.f64 (.f64 (neg.f64 re) #s(literal 1 binary64)) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(.f64 (.f64 (fabs.f64 re) #s(literal 1 binary64)) (*.f64 (fabs.f64 re) #s(literal 1 binary64)))
(.f64 (.f64 re #s(literal 1 binary64)) (*.f64 re #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 re)) (*.f64 #s(literal 1 binary64) (neg.f64 re)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 re)) (neg.f64 re))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 re)) (*.f64 #s(literal 1 binary64) (fabs.f64 re)))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 re)) (fabs.f64 re))
(.f64 (.f64 #s(literal 1 binary64) re) (*.f64 #s(literal 1 binary64) re))
(.f64 (.f64 #s(literal 1 binary64) re) re)
(*.f64 (neg.f64 (neg.f64 re)) (neg.f64 (neg.f64 re)))
(*.f64 (neg.f64 (fabs.f64 re)) (neg.f64 (fabs.f64 re)))
(*.f64 (fabs.f64 (fabs.f64 re)) (fabs.f64 (fabs.f64 re)))
(*.f64 (exp.f64 (log.f64 re)) (exp.f64 (log.f64 re)))
(.f64 (neg.f64 re) (.f64 (neg.f64 re) #s(literal 1 binary64)))
(*.f64 (neg.f64 re) (neg.f64 re))
(.f64 (fabs.f64 re) (.f64 (fabs.f64 re) #s(literal 1 binary64)))
(*.f64 (fabs.f64 re) (fabs.f64 re))
(.f64 #s(literal 1 binary64) (.f64 re re))
(.f64 (.f64 re re) #s(literal 1 binary64))
(.f64 re (.f64 re #s(literal 1 binary64)))
(*.f64 re re)
(pow.f64 (exp.f64 (log.f64 re)) #s(literal 2 binary64))
(pow.f64 (neg.f64 re) #s(literal 2 binary64))
(pow.f64 (fabs.f64 re) #s(literal 2 binary64))
(pow.f64 (*.f64 re re) #s(literal 1 binary64))
(pow.f64 re #s(literal 2 binary64))
(/.f64 (.f64 (.f64 re re) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 re re)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 re) re))
(fabs.f64 (*.f64 re re))
(exp.f64 (fma.f64 (log.f64 re) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 re) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 re) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 re) #s(literal 2 binary64))))
re
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 im)) (*.f64 #s(literal 1 binary64) (neg.f64 im)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 im)) (neg.f64 im))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 im)) (*.f64 #s(literal 1 binary64) (fabs.f64 im)))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 im)) (fabs.f64 im))
(.f64 (.f64 #s(literal 1 binary64) im) (*.f64 #s(literal 1 binary64) im))
(.f64 (.f64 #s(literal 1 binary64) im) im)
(.f64 (.f64 (neg.f64 im) #s(literal 1 binary64)) (*.f64 (neg.f64 im) #s(literal 1 binary64)))
(.f64 (.f64 (fabs.f64 im) #s(literal 1 binary64)) (*.f64 (fabs.f64 im) #s(literal 1 binary64)))
(.f64 (.f64 im #s(literal 1 binary64)) (*.f64 im #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 im)) (neg.f64 (neg.f64 im)))
(*.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 im)))
(*.f64 (fabs.f64 (fabs.f64 im)) (fabs.f64 (fabs.f64 im)))
(*.f64 (exp.f64 (log.f64 im)) (exp.f64 (log.f64 im)))
(.f64 (neg.f64 im) (.f64 (neg.f64 im) #s(literal 1 binary64)))
(*.f64 (neg.f64 im) (neg.f64 im))
(.f64 (fabs.f64 im) (.f64 (fabs.f64 im) #s(literal 1 binary64)))
(*.f64 (fabs.f64 im) (fabs.f64 im))
(.f64 #s(literal 1 binary64) (.f64 im im))
(.f64 (.f64 im im) #s(literal 1 binary64))
(.f64 im (.f64 im #s(literal 1 binary64)))
(*.f64 im im)
(pow.f64 (exp.f64 (log.f64 im)) #s(literal 2 binary64))
(pow.f64 (neg.f64 im) #s(literal 2 binary64))
(pow.f64 (fabs.f64 im) #s(literal 2 binary64))
(pow.f64 (*.f64 im im) #s(literal 1 binary64))
(pow.f64 im #s(literal 2 binary64))
(/.f64 (.f64 (.f64 im im) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 im) im))
(fabs.f64 (*.f64 im im))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 im) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 im) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 im) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 im) #s(literal 2 binary64))))
im
#s(approx (+ (* re re) (* im im)) (*.f64 im im))
#s(approx (+ (* re re) (* im im)) (fma.f64 im im (*.f64 re re)))
#s(approx (* re re) (*.f64 re re))
#s(approx re re)
#s(approx (+ (* re re) (* im im)) (*.f64 re re))
#s(approx (+ (* re re) (* im im)) (.f64 (fma.f64 (/.f64 im re) (/.f64 im re) #s(literal 1 binary64)) (.f64 re re)))
#s(approx (* im im) (*.f64 im im))
#s(approx im im)
#s(approx (+ (* re re) (* im im)) (.f64 (fma.f64 (/.f64 re im) (/.f64 re im) #s(literal 1 binary64)) (.f64 im im)))

eval37.0ms (4%)

Memory: -19.5MiB live, 26.8MiB allocated; 11ms collecting garbage
Compiler: Compiled 1 791 to 328 computations (81.7% saved)

prune3.0ms (0.4%)

Memory

11.0MiB live, 11.0MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	154	3	157
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	155	3	158

Accuracy

100.0%

Counts

158 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 im im (*.f64 re re))
▶	16.9%	#s(approx (+ (* re re) (* im im)) (*.f64 re re))
▶	99.6%	#s(approx (+ (* re re) (* im im)) (*.f64 im im))

Compiler

Compiled 28 to 18 computations (35.7% saved)

series3.0ms (0.4%)

Memory

6.0MiB live, 6.0MiB allocated; 0ms collecting garbage

Counts

7 → 14

Calls

Call 1

Inputs
#s(approx (+ (* re re) (* im im)) (*.f64 im im))
(*.f64 im im)
im
#s(approx (+ (* re re) (* im im)) (*.f64 re re))
(*.f64 re re)
re
(fma.f64 im im (*.f64 re re))

Outputs
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (pow im 2)))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (+ (pow im 2) (pow re 2))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx re #s(hole binary64 re))
#s(approx (+ (* im im) (* re re)) #s(hole binary64 (pow im 2)))
#s(approx (+ (* im im) (* re re)) #s(hole binary64 (+ (pow im 2) (pow re 2))))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (pow re 2)))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))))
#s(approx (+ (* im im) (* re re)) #s(hole binary64 (pow re 2)))
#s(approx (+ (* im im) (* re re)) #s(hole binary64 (* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx im #s(hole binary64 im))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))))
#s(approx (+ (* im im) (* re re)) #s(hole binary64 (* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	re	@	inf	((+ (* re re) (* im im)) (* im im) im (+ (* re re) (* im im)) (* re re) re (+ (* im im) (* re re)))
1.0ms	re	@	-inf	((+ (* re re) (* im im)) (* im im) im (+ (* re re) (* im im)) (* re re) re (+ (* im im) (* re re)))
1.0ms	im	@	-inf	((+ (* re re) (* im im)) (* im im) im (+ (* re re) (* im im)) (* re re) re (+ (* im im) (* re re)))
1.0ms	im	@	inf	((+ (* re re) (* im im)) (* im im) im (+ (* re re) (* im im)) (* re re) re (+ (* im im) (* re re)))
0.0ms	re	@	0	((+ (* re re) (* im im)) (* im im) im (+ (* re re) (* im im)) (* re re) re (+ (* im im) (* re re)))

rewrite83.0ms (9%)

Memory

-22.9MiB live, 43.9MiB allocated; 41ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	209
0	39	200
1	135	200
0	1202	196

Stop Event

1×	iter-limit
1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

21 → 190

Calls

Call 1

Inputs
#s(approx (+ (* re re) (* im im)) (*.f64 im im))
(*.f64 im im)
im
#s(approx (+ (* re re) (* im im)) (*.f64 re re))
(*.f64 re re)
re
(fma.f64 im im (*.f64 re re))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (pow im 2)))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (+ (pow im 2) (pow re 2))))
#s(approx (* re re) #s(hole binary64 (pow re 2)))
#s(approx re #s(hole binary64 re))
#s(approx (+ (* im im) (* re re)) #s(hole binary64 (pow im 2)))
#s(approx (+ (* im im) (* re re)) #s(hole binary64 (+ (pow im 2) (pow re 2))))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (pow re 2)))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))))
#s(approx (+ (* im im) (* re re)) #s(hole binary64 (pow re 2)))
#s(approx (+ (* im im) (* re re)) #s(hole binary64 (* (pow re 2) (+ 1 (/ (pow im 2) (pow re 2))))))
#s(approx (* im im) #s(hole binary64 (pow im 2)))
#s(approx im #s(hole binary64 im))
#s(approx (+ (* re re) (* im im)) #s(hole binary64 (* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))))
#s(approx (+ (* im im) (* re re)) #s(hole binary64 (* (pow im 2) (+ 1 (/ (pow re 2) (pow im 2))))))

Outputs
#s(approx (+ (* re re) (* im im)) (*.f64 im im))
(.f64 (.f64 (neg.f64 im) #s(literal 1 binary64)) (*.f64 (neg.f64 im) #s(literal 1 binary64)))
(.f64 (.f64 (fabs.f64 im) #s(literal 1 binary64)) (*.f64 (fabs.f64 im) #s(literal 1 binary64)))
(.f64 (.f64 im #s(literal 1 binary64)) (*.f64 im #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 im)) (*.f64 #s(literal 1 binary64) (neg.f64 im)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 im)) (neg.f64 im))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 im)) (*.f64 #s(literal 1 binary64) (fabs.f64 im)))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 im)) (fabs.f64 im))
(.f64 (.f64 #s(literal 1 binary64) im) (*.f64 #s(literal 1 binary64) im))
(.f64 (.f64 #s(literal 1 binary64) im) im)
(*.f64 (neg.f64 (neg.f64 im)) (neg.f64 (neg.f64 im)))
(*.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 im)))
(*.f64 (fabs.f64 (fabs.f64 im)) (fabs.f64 (fabs.f64 im)))
(*.f64 (exp.f64 (log.f64 im)) (exp.f64 (log.f64 im)))
(.f64 (neg.f64 im) (.f64 (neg.f64 im) #s(literal 1 binary64)))
(*.f64 (neg.f64 im) (neg.f64 im))
(.f64 (fabs.f64 im) (.f64 (fabs.f64 im) #s(literal 1 binary64)))
(*.f64 (fabs.f64 im) (fabs.f64 im))
(.f64 #s(literal 1 binary64) (.f64 im im))
(.f64 (.f64 im im) #s(literal 1 binary64))
(.f64 im (.f64 im #s(literal 1 binary64)))
(*.f64 im im)
(pow.f64 (exp.f64 (log.f64 im)) #s(literal 2 binary64))
(pow.f64 (neg.f64 im) #s(literal 2 binary64))
(pow.f64 (fabs.f64 im) #s(literal 2 binary64))
(pow.f64 (*.f64 im im) #s(literal 1 binary64))
(pow.f64 im #s(literal 2 binary64))
(/.f64 (.f64 (.f64 im im) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 im im)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 im) im))
(fabs.f64 (*.f64 im im))
(exp.f64 (fma.f64 (log.f64 im) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 im) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 im) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 im) #s(literal 2 binary64))))
im
#s(approx (+ (* re re) (* im im)) (*.f64 re re))
(.f64 (.f64 (neg.f64 re) #s(literal 1 binary64)) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(.f64 (.f64 (fabs.f64 re) #s(literal 1 binary64)) (*.f64 (fabs.f64 re) #s(literal 1 binary64)))
(.f64 (.f64 re #s(literal 1 binary64)) (*.f64 re #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 re)) (*.f64 #s(literal 1 binary64) (neg.f64 re)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 re)) (neg.f64 re))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 re)) (*.f64 #s(literal 1 binary64) (fabs.f64 re)))
(.f64 (.f64 #s(literal 1 binary64) (fabs.f64 re)) (fabs.f64 re))
(.f64 (.f64 #s(literal 1 binary64) re) (*.f64 #s(literal 1 binary64) re))
(.f64 (.f64 #s(literal 1 binary64) re) re)
(*.f64 (neg.f64 (neg.f64 re)) (neg.f64 (neg.f64 re)))
(*.f64 (neg.f64 (fabs.f64 re)) (neg.f64 (fabs.f64 re)))
(*.f64 (fabs.f64 (fabs.f64 re)) (fabs.f64 (fabs.f64 re)))
(*.f64 (exp.f64 (log.f64 re)) (exp.f64 (log.f64 re)))
(.f64 (neg.f64 re) (.f64 (neg.f64 re) #s(literal 1 binary64)))
(*.f64 (neg.f64 re) (neg.f64 re))
(.f64 (fabs.f64 re) (.f64 (fabs.f64 re) #s(literal 1 binary64)))
(*.f64 (fabs.f64 re) (fabs.f64 re))
(.f64 #s(literal 1 binary64) (.f64 re re))
(.f64 (.f64 re re) #s(literal 1 binary64))
(.f64 re (.f64 re #s(literal 1 binary64)))
(*.f64 re re)
(pow.f64 (exp.f64 (log.f64 re)) #s(literal 2 binary64))
(pow.f64 (neg.f64 re) #s(literal 2 binary64))
(pow.f64 (fabs.f64 re) #s(literal 2 binary64))
(pow.f64 (*.f64 re re) #s(literal 1 binary64))
(pow.f64 re #s(literal 2 binary64))
(/.f64 (.f64 (.f64 re re) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 re re)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 re) re))
(fabs.f64 (*.f64 re re))
(exp.f64 (fma.f64 (log.f64 re) #s(literal 2 binary64) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 re) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 re) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 re) #s(literal 2 binary64))))
re
(/.f64 (-.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 (.f64 (neg.f64 im) im) #s(literal 3 binary64))) (+.f64 (pow.f64 re #s(literal 4 binary64)) (+.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (.f64 re re) (.f64 (neg.f64 im) im)))))
(/.f64 (-.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 (.f64 (neg.f64 re) re) #s(literal 3 binary64))) (+.f64 (pow.f64 im #s(literal 4 binary64)) (+.f64 (pow.f64 re #s(literal 4 binary64)) (.f64 (.f64 im im) (.f64 (neg.f64 re) re)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (neg.f64 (fma.f64 re re (*.f64 (neg.f64 im) im))))
(/.f64 (neg.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (neg.f64 (fma.f64 im im (*.f64 (neg.f64 re) re))))
(/.f64 (neg.f64 (+.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (neg.f64 (+.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (*.f64 im re) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 re re (*.f64 (neg.f64 im) im)))
(/.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 im im (*.f64 (neg.f64 re) re)))
(/.f64 (+.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) (+.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64))))
(/.f64 (+.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (*.f64 im re) #s(literal 2 binary64))))
(fma.f64 (.f64 (neg.f64 re) #s(literal 1 binary64)) (.f64 (neg.f64 re) #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 im)) im))
(fma.f64 (.f64 (neg.f64 re) #s(literal 1 binary64)) (.f64 (neg.f64 re) #s(literal 1 binary64)) (*.f64 im im))
(fma.f64 (.f64 (fabs.f64 re) #s(literal 1 binary64)) (.f64 (fabs.f64 re) #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 im)) im))
(fma.f64 (.f64 (fabs.f64 re) #s(literal 1 binary64)) (.f64 (fabs.f64 re) #s(literal 1 binary64)) (*.f64 im im))
(fma.f64 (.f64 re #s(literal 1 binary64)) (.f64 re #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 im)) im))
(fma.f64 (.f64 re #s(literal 1 binary64)) (.f64 re #s(literal 1 binary64)) (*.f64 im im))
(fma.f64 (.f64 (neg.f64 im) #s(literal 1 binary64)) (.f64 (neg.f64 im) #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 re)) re))
(fma.f64 (.f64 (neg.f64 im) #s(literal 1 binary64)) (.f64 (neg.f64 im) #s(literal 1 binary64)) (*.f64 re re))
(fma.f64 (.f64 (fabs.f64 im) #s(literal 1 binary64)) (.f64 (fabs.f64 im) #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 re)) re))
(fma.f64 (.f64 (fabs.f64 im) #s(literal 1 binary64)) (.f64 (fabs.f64 im) #s(literal 1 binary64)) (*.f64 re re))
(fma.f64 (.f64 im #s(literal 1 binary64)) (.f64 im #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 re)) re))
(fma.f64 (.f64 im #s(literal 1 binary64)) (.f64 im #s(literal 1 binary64)) (*.f64 re re))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 re)) (.f64 #s(literal 1 binary64) (neg.f64 re)) (*.f64 (neg.f64 (neg.f64 im)) im))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 re)) (.f64 #s(literal 1 binary64) (neg.f64 re)) (*.f64 im im))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 re)) (neg.f64 re) (.f64 (neg.f64 (neg.f64 im)) im))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 re)) (neg.f64 re) (.f64 im im))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 re)) (.f64 #s(literal 1 binary64) (fabs.f64 re)) (*.f64 (neg.f64 (neg.f64 im)) im))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 re)) (.f64 #s(literal 1 binary64) (fabs.f64 re)) (*.f64 im im))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 re)) (fabs.f64 re) (.f64 (neg.f64 (neg.f64 im)) im))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 re)) (fabs.f64 re) (.f64 im im))
(fma.f64 (.f64 #s(literal 1 binary64) re) (.f64 #s(literal 1 binary64) re) (*.f64 (neg.f64 (neg.f64 im)) im))
(fma.f64 (.f64 #s(literal 1 binary64) re) (.f64 #s(literal 1 binary64) re) (*.f64 im im))
(fma.f64 (.f64 #s(literal 1 binary64) re) re (.f64 (neg.f64 (neg.f64 im)) im))
(fma.f64 (.f64 #s(literal 1 binary64) re) re (.f64 im im))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 im)) (.f64 #s(literal 1 binary64) (neg.f64 im)) (*.f64 (neg.f64 (neg.f64 re)) re))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 im)) (.f64 #s(literal 1 binary64) (neg.f64 im)) (*.f64 re re))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 im)) (neg.f64 im) (.f64 (neg.f64 (neg.f64 re)) re))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 im)) (neg.f64 im) (.f64 re re))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 im)) (.f64 #s(literal 1 binary64) (fabs.f64 im)) (*.f64 (neg.f64 (neg.f64 re)) re))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 im)) (.f64 #s(literal 1 binary64) (fabs.f64 im)) (*.f64 re re))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 im)) (fabs.f64 im) (.f64 (neg.f64 (neg.f64 re)) re))
(fma.f64 (.f64 #s(literal 1 binary64) (fabs.f64 im)) (fabs.f64 im) (.f64 re re))
(fma.f64 (.f64 #s(literal 1 binary64) im) (.f64 #s(literal 1 binary64) im) (*.f64 (neg.f64 (neg.f64 re)) re))
(fma.f64 (.f64 #s(literal 1 binary64) im) (.f64 #s(literal 1 binary64) im) (*.f64 re re))
(fma.f64 (.f64 #s(literal 1 binary64) im) im (.f64 (neg.f64 (neg.f64 re)) re))
(fma.f64 (.f64 #s(literal 1 binary64) im) im (.f64 re re))
(fma.f64 (neg.f64 (neg.f64 re)) (neg.f64 (neg.f64 re)) (*.f64 (neg.f64 (neg.f64 im)) im))
(fma.f64 (neg.f64 (neg.f64 re)) (neg.f64 (neg.f64 re)) (*.f64 im im))
(fma.f64 (neg.f64 (fabs.f64 re)) (neg.f64 (fabs.f64 re)) (*.f64 (neg.f64 (neg.f64 im)) im))
(fma.f64 (neg.f64 (fabs.f64 re)) (neg.f64 (fabs.f64 re)) (*.f64 im im))
(fma.f64 (neg.f64 (neg.f64 im)) (neg.f64 (neg.f64 im)) (*.f64 (neg.f64 (neg.f64 re)) re))
(fma.f64 (neg.f64 (neg.f64 im)) (neg.f64 (neg.f64 im)) (*.f64 re re))
(fma.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 im)) (*.f64 (neg.f64 (neg.f64 re)) re))
(fma.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 im)) (*.f64 re re))
(fma.f64 (fabs.f64 (fabs.f64 re)) (fabs.f64 (fabs.f64 re)) (*.f64 (neg.f64 (neg.f64 im)) im))
(fma.f64 (fabs.f64 (fabs.f64 re)) (fabs.f64 (fabs.f64 re)) (*.f64 im im))
(fma.f64 (fabs.f64 (fabs.f64 im)) (fabs.f64 (fabs.f64 im)) (*.f64 (neg.f64 (neg.f64 re)) re))
(fma.f64 (fabs.f64 (fabs.f64 im)) (fabs.f64 (fabs.f64 im)) (*.f64 re re))
(fma.f64 (exp.f64 (log.f64 re)) (exp.f64 (log.f64 re)) (*.f64 (neg.f64 (neg.f64 im)) im))
(fma.f64 (exp.f64 (log.f64 re)) (exp.f64 (log.f64 re)) (*.f64 im im))
(fma.f64 (exp.f64 (log.f64 im)) (exp.f64 (log.f64 im)) (*.f64 (neg.f64 (neg.f64 re)) re))
(fma.f64 (exp.f64 (log.f64 im)) (exp.f64 (log.f64 im)) (*.f64 re re))
(fma.f64 (neg.f64 re) (.f64 (neg.f64 re) #s(literal 1 binary64)) (.f64 (neg.f64 (neg.f64 im)) im))
(fma.f64 (neg.f64 re) (.f64 (neg.f64 re) #s(literal 1 binary64)) (.f64 im im))
(fma.f64 (neg.f64 re) (neg.f64 re) (*.f64 (neg.f64 (neg.f64 im)) im))
(fma.f64 (neg.f64 re) (neg.f64 re) (*.f64 im im))
(fma.f64 (neg.f64 im) (.f64 (neg.f64 im) #s(literal 1 binary64)) (.f64 (neg.f64 (neg.f64 re)) re))
(fma.f64 (neg.f64 im) (.f64 (neg.f64 im) #s(literal 1 binary64)) (.f64 re re))
(fma.f64 (neg.f64 im) (neg.f64 im) (*.f64 (neg.f64 (neg.f64 re)) re))
(fma.f64 (neg.f64 im) (neg.f64 im) (*.f64 re re))
(fma.f64 (fabs.f64 re) (.f64 (fabs.f64 re) #s(literal 1 binary64)) (.f64 (neg.f64 (neg.f64 im)) im))
(fma.f64 (fabs.f64 re) (.f64 (fabs.f64 re) #s(literal 1 binary64)) (.f64 im im))
(fma.f64 (fabs.f64 re) (fabs.f64 re) (*.f64 (neg.f64 (neg.f64 im)) im))
(fma.f64 (fabs.f64 re) (fabs.f64 re) (*.f64 im im))
(fma.f64 (fabs.f64 im) (.f64 (fabs.f64 im) #s(literal 1 binary64)) (.f64 (neg.f64 (neg.f64 re)) re))
(fma.f64 (fabs.f64 im) (.f64 (fabs.f64 im) #s(literal 1 binary64)) (.f64 re re))
(fma.f64 (fabs.f64 im) (fabs.f64 im) (*.f64 (neg.f64 (neg.f64 re)) re))
(fma.f64 (fabs.f64 im) (fabs.f64 im) (*.f64 re re))
(fma.f64 #s(literal 1 binary64) (.f64 re re) (.f64 (neg.f64 (neg.f64 im)) im))
(fma.f64 #s(literal 1 binary64) (.f64 re re) (.f64 im im))
(fma.f64 #s(literal 1 binary64) (.f64 im im) (.f64 (neg.f64 (neg.f64 re)) re))
(fma.f64 #s(literal 1 binary64) (.f64 im im) (.f64 re re))
(fma.f64 (.f64 re re) #s(literal 1 binary64) (.f64 (neg.f64 (neg.f64 im)) im))
(fma.f64 (.f64 re re) #s(literal 1 binary64) (.f64 im im))
(fma.f64 (.f64 im im) #s(literal 1 binary64) (.f64 (neg.f64 (neg.f64 re)) re))
(fma.f64 (.f64 im im) #s(literal 1 binary64) (.f64 re re))
(fma.f64 im (.f64 im #s(literal 1 binary64)) (.f64 (neg.f64 (neg.f64 re)) re))
(fma.f64 im (.f64 im #s(literal 1 binary64)) (.f64 re re))
(fma.f64 im im (*.f64 (neg.f64 (neg.f64 re)) re))
(fma.f64 im im (*.f64 re re))
(fma.f64 re (.f64 re #s(literal 1 binary64)) (.f64 (neg.f64 (neg.f64 im)) im))
(fma.f64 re (.f64 re #s(literal 1 binary64)) (.f64 im im))
(fma.f64 re re (*.f64 (neg.f64 (neg.f64 im)) im))
(fma.f64 re re (*.f64 im im))
(-.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (fma.f64 re re (.f64 (neg.f64 im) im))) (/.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 re re (.f64 (neg.f64 im) im))))
(-.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (fma.f64 im im (.f64 (neg.f64 re) re))) (/.f64 (pow.f64 re #s(literal 4 binary64)) (fma.f64 im im (.f64 (neg.f64 re) re))))
(-.f64 (.f64 re re) (.f64 (neg.f64 im) im))
(-.f64 (.f64 im im) (.f64 (neg.f64 re) re))
(+.f64 (/.f64 (pow.f64 re #s(literal 6 binary64)) (+.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64)))) (/.f64 (pow.f64 im #s(literal 6 binary64)) (+.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (.f64 im re) #s(literal 2 binary64))) (pow.f64 re #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 im #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (.f64 im re) #s(literal 2 binary64)))) (/.f64 (pow.f64 re #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (.f64 im re) #s(literal 2 binary64)))))
(+.f64 (.f64 re re) (.f64 (neg.f64 (neg.f64 im)) im))
(+.f64 (.f64 re re) (.f64 im im))
(+.f64 (.f64 im im) (.f64 (neg.f64 (neg.f64 re)) re))
(+.f64 (.f64 im im) (.f64 re re))
#s(approx (+ (* re re) (* im im)) (*.f64 im im))
#s(approx (+ (* re re) (* im im)) (fma.f64 im im (*.f64 re re)))
#s(approx (* re re) (*.f64 re re))
#s(approx re re)
#s(approx (+ (* re re) (* im im)) (*.f64 im im))
#s(approx (+ (* re re) (* im im)) (fma.f64 im im (*.f64 re re)))
#s(approx (+ (* re re) (* im im)) (*.f64 re re))
#s(approx (+ (* re re) (* im im)) (.f64 (fma.f64 (/.f64 im re) (/.f64 im re) #s(literal 1 binary64)) (.f64 re re)))
#s(approx (+ (* re re) (* im im)) (*.f64 re re))
#s(approx (+ (* re re) (* im im)) (.f64 (fma.f64 (/.f64 im re) (/.f64 im re) #s(literal 1 binary64)) (.f64 re re)))
#s(approx (* im im) (*.f64 im im))
#s(approx im im)
#s(approx (+ (* re re) (* im im)) (.f64 (fma.f64 (/.f64 re im) (/.f64 re im) #s(literal 1 binary64)) (.f64 im im)))
#s(approx (+ (* re re) (* im im)) (.f64 (fma.f64 (/.f64 re im) (/.f64 re im) #s(literal 1 binary64)) (.f64 im im)))

eval54.0ms (5.8%)

Memory: -15.5MiB live, 33.8MiB allocated; 7ms collecting garbage
Compiler: Compiled 2 688 to 394 computations (85.3% saved)

prune4.0ms (0.5%)

Memory

12.2MiB live, 12.2MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	216	0	216
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	216	3	219

Accuracy

100.0%

Counts

219 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 im im (*.f64 re re))
✓	16.9%	#s(approx (+ (* re re) (* im im)) (*.f64 re re))
✓	99.6%	#s(approx (+ (* re re) (* im im)) (*.f64 im im))

Compiler

Compiled 63 to 29 computations (54% saved)

regimes8.0ms (0.8%)

Memory

18.4MiB live, 18.4MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (+ (* re re) (* im im)) (*.f64 im im))
#s(approx (+ (* re re) (* im im)) (*.f64 re re))
(fma.f64 im im (*.f64 re re))
(+.f64 (.f64 re re) (.f64 im im))

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

Calls

5 calls:

2.0ms	im
2.0ms	re
1.0ms	(*.f64 im im)
1.0ms	(+.f64 (.f64 re re) (.f64 im im))
1.0ms	(*.f64 re re)

Results

Accuracy	Segments	Branch
100.0%	1	`(*.f64 im im)`
100.0%	1	`(*.f64 re re)`
100.0%	1	`(+.f64 (.f64 re re) (.f64 im im))`
100.0%	1	`re`
100.0%	1	`im`

Compiler

Compiled 15 to 15 computations (0% saved)

regimes9.0ms (0.9%)

Memory

-29.8MiB live, 15.1MiB allocated; 3ms collecting garbage

Accuracy

Total -52.9b remaining (-19140.7%)

Threshold costs -52.9b (-19140.7%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (+ (* re re) (* im im)) (*.f64 im im))
#s(approx (+ (* re re) (* im im)) (*.f64 re re))

Outputs
#s(approx (+ (* re re) (* im im)) (*.f64 im im))

Calls

5 calls:

4.0ms	im
1.0ms	re
1.0ms	(+.f64 (.f64 re re) (.f64 im im))
1.0ms	(*.f64 im im)
1.0ms	(*.f64 re re)

Results

Accuracy	Segments	Branch
99.6%	1	`(*.f64 im im)`
99.6%	1	`(*.f64 re re)`
99.6%	1	`(+.f64 (.f64 re re) (.f64 im im))`
99.6%	1	`re`
99.6%	1	`im`

Compiler

Compiled 15 to 15 computations (0% saved)

derivations10.0ms (1%)

Memory

14.7MiB live, 14.7MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 17 to 9 computations (47.1% saved)

preprocess21.0ms (2.3%)

Memory: -0.7MiB live, 44.9MiB allocated; 3ms collecting garbage
Compiler: Compiled 150 to 94 computations (37.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze0.0ms (0%)

sample559.0ms (60.1%)

explain57.0ms (6.1%)

preprocess8.0ms (0.8%)

series4.0ms (0.4%)

rewrite70.0ms (7.5%)

eval37.0ms (4%)

prune3.0ms (0.4%)

series3.0ms (0.4%)

rewrite83.0ms (9%)

eval54.0ms (5.8%)

prune4.0ms (0.5%)

regimes8.0ms (0.8%)

regimes9.0ms (0.9%)

derivations10.0ms (1%)

preprocess21.0ms (2.3%)

end0.0ms (0%)

Profiling