Metrics for math.abs on complex (squared)

start0.0ms (0.0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0.0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0.0%	0.0%	99.9%	0.1%	0.0%	0.0%	0.0%	0
100.0%	99.9%	0.0%	0.1%	0.0%	0.0%	0.0%	1

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample711.0ms (42.9%)

Memory

13.3MiB live, 1 137.1MiB allocated; 263ms collecting garbage

Samples

471.0ms	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 210.0ms

ival-mult!: 165.0ms (78.4% of total)

ival-add!: 44.0ms (20.9% of total)

adjust: 2.0ms (1.0% of total)

Bogosity

preprocess539.0ms (32.5%)

Memory

-158.7MiB live, 72.8MiB allocated; 1.0s collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	44
1	50	44
2	144	44
3	189	44
4	406	44
5	2058	44

Stop Event

1×	node-limit

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)

sample0.0ms (0.0%)

Memory

0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs

Outputs

series9.0ms (0.6%)

Memory

28.1MiB live, 28.1MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	77

Stop Event

1×	iter-limit

Counts

5 → 7

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
1.0ms	re	inf
1.0ms	re	-inf
1.0ms	re	0
1.0ms	im	inf
1.0ms	im	-inf

rewrite94.0ms (5.7%)

Memory

1.1MiB live, 134.8MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
0	8	15
1	41	15
2	149	15
3	442	15
4	878	15
5	3655	15
0	4007	14

Stop Event

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

Counts

5 → 181

Calls

Call 1

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

Outputs
re
(.f64 (pow.f64 (.f64 (.f64 (.f64 re re) re) re) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (.f64 (.f64 (*.f64 re re) re) re) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (.f64 (fabs.f64 re) (neg.f64 re))) (sqrt.f64 (*.f64 (fabs.f64 re) (neg.f64 re))))
(.f64 (sqrt.f64 (.f64 (fabs.f64 re) re)) (sqrt.f64 (*.f64 (fabs.f64 re) re)))
(.f64 (sqrt.f64 (.f64 (neg.f64 re) re)) (sqrt.f64 (*.f64 (neg.f64 re) re)))
(.f64 (sqrt.f64 (.f64 (*.f64 (fabs.f64 re) re) (neg.f64 re))) (sqrt.f64 (neg.f64 (fabs.f64 re))))
(.f64 (sqrt.f64 (.f64 (*.f64 (fabs.f64 re) re) re)) (sqrt.f64 (fabs.f64 re)))
(.f64 (sqrt.f64 (.f64 (*.f64 (neg.f64 re) re) re)) (sqrt.f64 (neg.f64 re)))
(.f64 (sqrt.f64 (.f64 (*.f64 re re) re)) (sqrt.f64 re))
(.f64 (pow.f64 (.f64 (fabs.f64 re) (neg.f64 re)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (fabs.f64 re) (neg.f64 re)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (fabs.f64 re) re) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (fabs.f64 re) re) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 re) re) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 re) re) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 (fabs.f64 re) re) (neg.f64 re)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 re)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 (fabs.f64 re) re) re) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 re) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 (neg.f64 re) re) re) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 re) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 re re) re) #s(literal 1/2 binary64)) (pow.f64 re #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 re)) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 (fabs.f64 re)) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 re re) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 re re) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 re re) #s(literal 0 binary64)) (*.f64 re re))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 re)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 re)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 re)) #s(literal 1 binary64)) (neg.f64 (fabs.f64 re)))
(.f64 (pow.f64 (neg.f64 (fabs.f64 re)) #s(literal 1/2 binary64)) (pow.f64 (.f64 (*.f64 (fabs.f64 re) re) (neg.f64 re)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (fabs.f64 re) #s(literal 1/2 binary64)) (pow.f64 (.f64 (*.f64 (fabs.f64 re) re) re) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (neg.f64 re) #s(literal 1/2 binary64)) (pow.f64 (.f64 (*.f64 (neg.f64 re) re) re) #s(literal 1/2 binary64)))
(.f64 (pow.f64 re #s(literal 1/2 binary64)) (pow.f64 (.f64 (*.f64 re re) re) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 re) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 re) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 re) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 re) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (neg.f64 (fabs.f64 re))) (sqrt.f64 (.f64 (*.f64 (fabs.f64 re) re) (neg.f64 re))))
(.f64 (sqrt.f64 (fabs.f64 re)) (sqrt.f64 (.f64 (*.f64 (fabs.f64 re) re) re)))
(.f64 (sqrt.f64 (neg.f64 re)) (sqrt.f64 (.f64 (*.f64 (neg.f64 re) re) re)))
(.f64 (sqrt.f64 re) (sqrt.f64 (.f64 (*.f64 re re) re)))
(*.f64 (pow.f64 (fabs.f64 re) #s(literal 1 binary64)) (pow.f64 (fabs.f64 re) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 re) #s(literal 1 binary64)) (fabs.f64 re))
(*.f64 (pow.f64 (neg.f64 re) #s(literal 1 binary64)) (pow.f64 (neg.f64 re) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 re) #s(literal 1 binary64)) (neg.f64 re))
(*.f64 (pow.f64 re #s(literal 1 binary64)) (pow.f64 re #s(literal 1 binary64)))
(*.f64 (pow.f64 re #s(literal 1 binary64)) re)
(*.f64 (pow.f64 re (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 re (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (fabs.f64 re)) (neg.f64 (fabs.f64 re)))
(*.f64 (fabs.f64 re) (fabs.f64 re))
(*.f64 (neg.f64 re) (neg.f64 re))
(.f64 (.f64 re re) (pow.f64 (neg.f64 (fabs.f64 re)) #s(literal 0 binary64)))
(.f64 (.f64 re re) (pow.f64 (fabs.f64 re) #s(literal 0 binary64)))
(.f64 (.f64 re re) (pow.f64 (neg.f64 re) #s(literal 0 binary64)))
(.f64 (.f64 re re) (pow.f64 re #s(literal 0 binary64)))
(.f64 (.f64 re re) (pow.f64 (*.f64 re re) #s(literal 0 binary64)))
(*.f64 re re)
(pow.f64 (pow.f64 re #s(literal 8 binary64)) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 (*.f64 re re) re) re) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (fabs.f64 re)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 re) #s(literal 2 binary64))
(pow.f64 (neg.f64 re) #s(literal 2 binary64))
(pow.f64 (*.f64 re re) #s(literal 1 binary64))
(pow.f64 re #s(literal 2 binary64))
(/.f64 (pow.f64 (.f64 re re) #s(literal 0 binary64)) (pow.f64 (.f64 re re) #s(literal -1 binary64)))
(/.f64 (pow.f64 (neg.f64 (fabs.f64 re)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 re)) #s(literal -1 binary64)))
(/.f64 (pow.f64 (fabs.f64 re) #s(literal 1 binary64)) (pow.f64 (fabs.f64 re) #s(literal -1 binary64)))
(/.f64 (pow.f64 (neg.f64 re) #s(literal 1 binary64)) (pow.f64 (neg.f64 re) #s(literal -1 binary64)))
(/.f64 (pow.f64 re #s(literal 1 binary64)) (pow.f64 re #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (fabs.f64 re)) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 re) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 re) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 re re) #s(literal -1 binary64)))
(/.f64 (fabs.f64 re) (pow.f64 (*.f64 re re) #s(literal -1/2 binary64)))
(/.f64 (.f64 re re) (pow.f64 (.f64 re re) #s(literal 0 binary64)))
(neg.f64 (*.f64 (neg.f64 re) re))
(sqrt.f64 (.f64 (.f64 (*.f64 re re) re) re))
(fabs.f64 (*.f64 (fabs.f64 re) (neg.f64 re)))
(fabs.f64 (*.f64 (fabs.f64 re) re))
(fabs.f64 (*.f64 (neg.f64 re) re))
(fabs.f64 (*.f64 re re))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (.f64 re re) re) re)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (fabs.f64 re))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 re re)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 re)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 re)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64)))
im
(.f64 (pow.f64 (.f64 (.f64 (.f64 im im) im) im) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (.f64 (.f64 (*.f64 im im) im) im) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (.f64 (fabs.f64 im) (neg.f64 im))) (sqrt.f64 (*.f64 (fabs.f64 im) (neg.f64 im))))
(.f64 (sqrt.f64 (.f64 (fabs.f64 im) im)) (sqrt.f64 (*.f64 (fabs.f64 im) im)))
(.f64 (sqrt.f64 (.f64 (*.f64 (fabs.f64 im) im) (neg.f64 im))) (sqrt.f64 (neg.f64 (fabs.f64 im))))
(.f64 (sqrt.f64 (.f64 (neg.f64 im) im)) (sqrt.f64 (*.f64 (neg.f64 im) im)))
(.f64 (sqrt.f64 (.f64 (*.f64 (fabs.f64 im) im) im)) (sqrt.f64 (fabs.f64 im)))
(.f64 (sqrt.f64 (.f64 (*.f64 (neg.f64 im) im) im)) (sqrt.f64 (neg.f64 im)))
(.f64 (sqrt.f64 (.f64 (*.f64 im im) im)) (sqrt.f64 im))
(.f64 (pow.f64 (.f64 (fabs.f64 im) (neg.f64 im)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (fabs.f64 im) (neg.f64 im)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (fabs.f64 im) im) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (fabs.f64 im) im) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 (fabs.f64 im) im) (neg.f64 im)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 im)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 im) im) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 im) im) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 (fabs.f64 im) im) im) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 im) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 (neg.f64 im) im) im) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 im) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 im im) im) #s(literal 1/2 binary64)) (pow.f64 im #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 im)) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 (fabs.f64 im)) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 im im) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 im im) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 im im) #s(literal 0 binary64)) (*.f64 im im))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 im)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 im)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 im)) #s(literal 1 binary64)) (neg.f64 (fabs.f64 im)))
(.f64 (pow.f64 (neg.f64 (fabs.f64 im)) #s(literal 1/2 binary64)) (pow.f64 (.f64 (*.f64 (fabs.f64 im) im) (neg.f64 im)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (fabs.f64 im) #s(literal 1/2 binary64)) (pow.f64 (.f64 (*.f64 (fabs.f64 im) im) im) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (neg.f64 im) #s(literal 1/2 binary64)) (pow.f64 (.f64 (*.f64 (neg.f64 im) im) im) #s(literal 1/2 binary64)))
(.f64 (pow.f64 im #s(literal 1/2 binary64)) (pow.f64 (.f64 (*.f64 im im) im) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 im) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 im) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 im) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 im) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (neg.f64 (fabs.f64 im))) (sqrt.f64 (.f64 (*.f64 (fabs.f64 im) im) (neg.f64 im))))
(.f64 (sqrt.f64 (fabs.f64 im)) (sqrt.f64 (.f64 (*.f64 (fabs.f64 im) im) im)))
(.f64 (sqrt.f64 (neg.f64 im)) (sqrt.f64 (.f64 (*.f64 (neg.f64 im) im) im)))
(.f64 (sqrt.f64 im) (sqrt.f64 (.f64 (*.f64 im im) im)))
(*.f64 (pow.f64 (fabs.f64 im) #s(literal 1 binary64)) (pow.f64 (fabs.f64 im) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 im) #s(literal 1 binary64)) (fabs.f64 im))
(*.f64 (pow.f64 (neg.f64 im) #s(literal 1 binary64)) (pow.f64 (neg.f64 im) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 im) #s(literal 1 binary64)) (neg.f64 im))
(*.f64 (pow.f64 im #s(literal 1 binary64)) (pow.f64 im #s(literal 1 binary64)))
(*.f64 (pow.f64 im #s(literal 1 binary64)) im)
(*.f64 (pow.f64 im (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 im (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 im)))
(*.f64 (fabs.f64 im) (fabs.f64 im))
(*.f64 (neg.f64 im) (neg.f64 im))
(.f64 (.f64 im im) (pow.f64 (neg.f64 (fabs.f64 im)) #s(literal 0 binary64)))
(.f64 (.f64 im im) (pow.f64 (fabs.f64 im) #s(literal 0 binary64)))
(.f64 (.f64 im im) (pow.f64 (neg.f64 im) #s(literal 0 binary64)))
(.f64 (.f64 im im) (pow.f64 im #s(literal 0 binary64)))
(.f64 (.f64 im im) (pow.f64 (*.f64 im im) #s(literal 0 binary64)))
(*.f64 im im)
(pow.f64 (pow.f64 im #s(literal 8 binary64)) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 (*.f64 im im) im) im) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (fabs.f64 im)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 im) #s(literal 2 binary64))
(pow.f64 (neg.f64 im) #s(literal 2 binary64))
(pow.f64 (*.f64 im im) #s(literal 1 binary64))
(pow.f64 im #s(literal 2 binary64))
(/.f64 (pow.f64 (.f64 im im) #s(literal 0 binary64)) (pow.f64 (.f64 im im) #s(literal -1 binary64)))
(/.f64 (pow.f64 (neg.f64 (fabs.f64 im)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 im)) #s(literal -1 binary64)))
(/.f64 (pow.f64 (fabs.f64 im) #s(literal 1 binary64)) (pow.f64 (fabs.f64 im) #s(literal -1 binary64)))
(/.f64 (pow.f64 (neg.f64 im) #s(literal 1 binary64)) (pow.f64 (neg.f64 im) #s(literal -1 binary64)))
(/.f64 (pow.f64 im #s(literal 1 binary64)) (pow.f64 im #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (fabs.f64 im)) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 im) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 im) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 im im) #s(literal -1 binary64)))
(/.f64 (fabs.f64 im) (pow.f64 (*.f64 im im) #s(literal -1/2 binary64)))
(/.f64 (.f64 im im) (pow.f64 (.f64 im im) #s(literal 0 binary64)))
(neg.f64 (*.f64 (neg.f64 im) im))
(sqrt.f64 (.f64 (.f64 (*.f64 im im) im) im))
(fabs.f64 (*.f64 (fabs.f64 im) (neg.f64 im)))
(fabs.f64 (*.f64 (fabs.f64 im) im))
(fabs.f64 (*.f64 (neg.f64 im) im))
(fabs.f64 (*.f64 im im))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (.f64 im im) im) im)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (fabs.f64 im))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 im im)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 im)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 im)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 re) re) (.f64 im im))) (.f64 im im))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 re re) (.f64 im im))) (.f64 im im))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 im) im) (.f64 re re))) (.f64 re re))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 im im) (.f64 re re))) (.f64 re re))
(/.f64 (-.f64 (pow.f64 (.f64 im im) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 re) re) #s(literal 3 binary64))) (fma.f64 (.f64 im im) (.f64 im im) (+.f64 (.f64 (.f64 (.f64 re re) re) re) (.f64 (.f64 im im) (.f64 (neg.f64 re) re)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 im im) im) im) (.f64 (.f64 (.f64 re re) re) re)) (+.f64 (.f64 im im) (.f64 (neg.f64 re) re)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 im im) im) im) (.f64 (.f64 (.f64 re re) re) re)) (-.f64 (.f64 im im) (.f64 re re)))
(/.f64 (+.f64 (pow.f64 (.f64 im im) #s(literal 3 binary64)) (pow.f64 (.f64 re re) #s(literal 3 binary64))) (fma.f64 (.f64 im im) (.f64 im im) (-.f64 (.f64 (.f64 (.f64 re re) re) re) (.f64 (.f64 im im) (.f64 re re)))))
(/.f64 (-.f64 (pow.f64 (.f64 re re) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 im) im) #s(literal 3 binary64))) (fma.f64 (.f64 re re) (.f64 re re) (+.f64 (.f64 (.f64 (.f64 im im) im) im) (.f64 (.f64 re re) (.f64 (neg.f64 im) im)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 re re) re) re) (.f64 (.f64 (.f64 im im) im) im)) (+.f64 (.f64 re re) (.f64 (neg.f64 im) im)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 re re) re) re) (.f64 (.f64 (.f64 im im) im) im)) (-.f64 (.f64 re re) (.f64 im im)))
(/.f64 (+.f64 (pow.f64 (.f64 re re) #s(literal 3 binary64)) (pow.f64 (.f64 im im) #s(literal 3 binary64))) (fma.f64 (.f64 re re) (.f64 re re) (-.f64 (.f64 (.f64 (.f64 im im) im) im) (.f64 (.f64 re re) (.f64 im im)))))
(neg.f64 (neg.f64 (fma.f64 im im (*.f64 re re))))
(fma.f64 (neg.f64 (fabs.f64 re)) (neg.f64 (fabs.f64 re)) (*.f64 im im))
(fma.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 im)) (*.f64 re re))
(fma.f64 (fabs.f64 im) (fabs.f64 im) (*.f64 re re))
(fma.f64 (fabs.f64 re) (fabs.f64 re) (*.f64 im im))
(fma.f64 (neg.f64 im) (neg.f64 im) (*.f64 re re))
(fma.f64 (neg.f64 re) (neg.f64 re) (*.f64 im im))
(fma.f64 im im (*.f64 re re))
(fma.f64 re re (*.f64 im im))
(-.f64 (.f64 im im) (.f64 (neg.f64 re) re))
(-.f64 (.f64 re re) (.f64 (neg.f64 im) im))
(+.f64 (.f64 im im) (.f64 re re))
(+.f64 (.f64 re re) (.f64 im im))

eval24.0ms (1.4%)

Memory: -14.0MiB live, 44.4MiB allocated; 13ms collecting garbage
Compiler: Compiled 2 452 to 542 computations (77.9% saved)

prune3.0ms (0.2%)

Memory

8.1MiB live, 8.1MiB allocated; 0ms collecting garbage

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	183	1	184
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	184	1	185

Accuracy

100.0%

Counts

185 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

sample0.0ms (0.0%)

Memory

0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs

Outputs

series5.0ms (0.3%)

Memory

9.2MiB live, 9.2MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	80

Stop Event

1×	iter-limit

Counts

4 → 7

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
1.0ms	im	-inf
1.0ms	im	inf
0.0ms	re	inf
0.0ms	re	-inf
0.0ms	im	0

rewrite233.0ms (14.0%)

Memory

-19.5MiB live, 73.1MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	11
0	7	11
1	40	11
2	148	11
3	441	11
4	877	11
5	3648	11
0	4007	11

Stop Event

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

Counts

4 → 104

Calls

Call 1

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

Outputs
re
im
(.f64 (pow.f64 (.f64 (.f64 (.f64 im im) im) im) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (.f64 (.f64 (*.f64 im im) im) im) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (.f64 (fabs.f64 im) (neg.f64 im))) (sqrt.f64 (*.f64 (fabs.f64 im) (neg.f64 im))))
(.f64 (sqrt.f64 (.f64 (fabs.f64 im) im)) (sqrt.f64 (*.f64 (fabs.f64 im) im)))
(.f64 (sqrt.f64 (.f64 (*.f64 (fabs.f64 im) im) (neg.f64 im))) (sqrt.f64 (neg.f64 (fabs.f64 im))))
(.f64 (sqrt.f64 (.f64 (neg.f64 im) im)) (sqrt.f64 (*.f64 (neg.f64 im) im)))
(.f64 (sqrt.f64 (.f64 (*.f64 (fabs.f64 im) im) im)) (sqrt.f64 (fabs.f64 im)))
(.f64 (sqrt.f64 (.f64 (*.f64 (neg.f64 im) im) im)) (sqrt.f64 (neg.f64 im)))
(.f64 (sqrt.f64 (.f64 (*.f64 im im) im)) (sqrt.f64 im))
(.f64 (pow.f64 (.f64 (fabs.f64 im) (neg.f64 im)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (fabs.f64 im) (neg.f64 im)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (fabs.f64 im) im) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (fabs.f64 im) im) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 (fabs.f64 im) im) (neg.f64 im)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 im)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 im) im) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 im) im) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 (fabs.f64 im) im) im) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 im) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 (neg.f64 im) im) im) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 im) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 im im) im) #s(literal 1/2 binary64)) (pow.f64 im #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 im)) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 (fabs.f64 im)) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 im im) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 im im) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 im im) #s(literal 0 binary64)) (*.f64 im im))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 im)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 im)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 im)) #s(literal 1 binary64)) (neg.f64 (fabs.f64 im)))
(.f64 (pow.f64 (neg.f64 (fabs.f64 im)) #s(literal 1/2 binary64)) (pow.f64 (.f64 (*.f64 (fabs.f64 im) im) (neg.f64 im)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (fabs.f64 im) #s(literal 1/2 binary64)) (pow.f64 (.f64 (*.f64 (fabs.f64 im) im) im) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (neg.f64 im) #s(literal 1/2 binary64)) (pow.f64 (.f64 (*.f64 (neg.f64 im) im) im) #s(literal 1/2 binary64)))
(.f64 (pow.f64 im #s(literal 1/2 binary64)) (pow.f64 (.f64 (*.f64 im im) im) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 im) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 im) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 im) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 im) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (neg.f64 (fabs.f64 im))) (sqrt.f64 (.f64 (*.f64 (fabs.f64 im) im) (neg.f64 im))))
(.f64 (sqrt.f64 (fabs.f64 im)) (sqrt.f64 (.f64 (*.f64 (fabs.f64 im) im) im)))
(.f64 (sqrt.f64 (neg.f64 im)) (sqrt.f64 (.f64 (*.f64 (neg.f64 im) im) im)))
(.f64 (sqrt.f64 im) (sqrt.f64 (.f64 (*.f64 im im) im)))
(*.f64 (pow.f64 (fabs.f64 im) #s(literal 1 binary64)) (pow.f64 (fabs.f64 im) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 im) #s(literal 1 binary64)) (fabs.f64 im))
(*.f64 (pow.f64 (neg.f64 im) #s(literal 1 binary64)) (pow.f64 (neg.f64 im) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 im) #s(literal 1 binary64)) (neg.f64 im))
(*.f64 (pow.f64 im #s(literal 1 binary64)) (pow.f64 im #s(literal 1 binary64)))
(*.f64 (pow.f64 im #s(literal 1 binary64)) im)
(*.f64 (pow.f64 im (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 im (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 im)))
(*.f64 (fabs.f64 im) (fabs.f64 im))
(*.f64 (neg.f64 im) (neg.f64 im))
(.f64 (.f64 im im) (pow.f64 (neg.f64 (fabs.f64 im)) #s(literal 0 binary64)))
(.f64 (.f64 im im) (pow.f64 (fabs.f64 im) #s(literal 0 binary64)))
(.f64 (.f64 im im) (pow.f64 (neg.f64 im) #s(literal 0 binary64)))
(.f64 (.f64 im im) (pow.f64 im #s(literal 0 binary64)))
(.f64 (.f64 im im) (pow.f64 (*.f64 im im) #s(literal 0 binary64)))
(*.f64 im im)
(pow.f64 (pow.f64 im #s(literal 8 binary64)) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 (*.f64 im im) im) im) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (fabs.f64 im)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 im) #s(literal 2 binary64))
(pow.f64 (neg.f64 im) #s(literal 2 binary64))
(pow.f64 (*.f64 im im) #s(literal 1 binary64))
(pow.f64 im #s(literal 2 binary64))
(/.f64 (pow.f64 (.f64 im im) #s(literal 0 binary64)) (pow.f64 (.f64 im im) #s(literal -1 binary64)))
(/.f64 (pow.f64 (neg.f64 (fabs.f64 im)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 im)) #s(literal -1 binary64)))
(/.f64 (pow.f64 (fabs.f64 im) #s(literal 1 binary64)) (pow.f64 (fabs.f64 im) #s(literal -1 binary64)))
(/.f64 (pow.f64 (neg.f64 im) #s(literal 1 binary64)) (pow.f64 (neg.f64 im) #s(literal -1 binary64)))
(/.f64 (pow.f64 im #s(literal 1 binary64)) (pow.f64 im #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (fabs.f64 im)) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 im) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 im) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 im im) #s(literal -1 binary64)))
(/.f64 (fabs.f64 im) (pow.f64 (*.f64 im im) #s(literal -1/2 binary64)))
(/.f64 (.f64 im im) (pow.f64 (.f64 im im) #s(literal 0 binary64)))
(neg.f64 (*.f64 (neg.f64 im) im))
(sqrt.f64 (.f64 (.f64 (*.f64 im im) im) im))
(fabs.f64 (*.f64 (fabs.f64 im) (neg.f64 im)))
(fabs.f64 (*.f64 (fabs.f64 im) im))
(fabs.f64 (*.f64 (neg.f64 im) im))
(fabs.f64 (*.f64 im im))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (.f64 im im) im) im)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (fabs.f64 im))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 im im)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 im)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 im)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 re) re) (.f64 im im))) (.f64 im im))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 re re) (.f64 im im))) (.f64 im im))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 im) im) (.f64 re re))) (.f64 re re))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 im im) (.f64 re re))) (.f64 re re))
(/.f64 (-.f64 (.f64 (.f64 (.f64 re re) re) re) (.f64 (.f64 (.f64 im im) im) im)) (+.f64 (.f64 re re) (.f64 (neg.f64 im) im)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 re re) re) re) (.f64 (.f64 (.f64 im im) im) im)) (-.f64 (.f64 re re) (.f64 im im)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 im im) im) im) (.f64 (.f64 (.f64 re re) re) re)) (+.f64 (.f64 im im) (.f64 (neg.f64 re) re)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 im im) im) im) (.f64 (.f64 (.f64 re re) re) re)) (-.f64 (.f64 im im) (.f64 re re)))
(/.f64 (-.f64 (pow.f64 (.f64 im im) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 re) re) #s(literal 3 binary64))) (fma.f64 (.f64 im im) (.f64 im im) (+.f64 (.f64 (.f64 (.f64 re re) re) re) (.f64 (.f64 im im) (.f64 (neg.f64 re) re)))))
(/.f64 (+.f64 (pow.f64 (.f64 im im) #s(literal 3 binary64)) (pow.f64 (.f64 re re) #s(literal 3 binary64))) (fma.f64 (.f64 im im) (.f64 im im) (-.f64 (.f64 (.f64 (.f64 re re) re) re) (.f64 (.f64 im im) (.f64 re re)))))
(/.f64 (-.f64 (pow.f64 (.f64 re re) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 im) im) #s(literal 3 binary64))) (fma.f64 (.f64 re re) (.f64 re re) (+.f64 (.f64 (.f64 (.f64 im im) im) im) (.f64 (.f64 re re) (.f64 (neg.f64 im) im)))))
(/.f64 (+.f64 (pow.f64 (.f64 re re) #s(literal 3 binary64)) (pow.f64 (.f64 im im) #s(literal 3 binary64))) (fma.f64 (.f64 re re) (.f64 re re) (-.f64 (.f64 (.f64 (.f64 im im) im) im) (.f64 (.f64 re re) (.f64 im im)))))
(neg.f64 (neg.f64 (fma.f64 re re (*.f64 im im))))
(fma.f64 (neg.f64 (fabs.f64 im)) (neg.f64 (fabs.f64 im)) (*.f64 re re))
(fma.f64 (neg.f64 (fabs.f64 re)) (neg.f64 (fabs.f64 re)) (*.f64 im im))
(fma.f64 (fabs.f64 im) (fabs.f64 im) (*.f64 re re))
(fma.f64 (fabs.f64 re) (fabs.f64 re) (*.f64 im im))
(fma.f64 (neg.f64 im) (neg.f64 im) (*.f64 re re))
(fma.f64 (neg.f64 re) (neg.f64 re) (*.f64 im im))
(fma.f64 im im (*.f64 re re))
(fma.f64 re re (*.f64 im im))
(-.f64 (.f64 re re) (.f64 (neg.f64 im) im))
(-.f64 (.f64 im im) (.f64 (neg.f64 re) re))
(+.f64 (.f64 re re) (.f64 im im))
(+.f64 (.f64 im im) (.f64 re re))

eval9.0ms (0.6%)

Memory: 15.8MiB live, 15.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 372 to 324 computations (76.4% saved)

prune3.0ms (0.2%)

Memory

4.8MiB live, 4.8MiB allocated; 0ms collecting garbage

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	0	0
Picked	1	0	1
Done	-1	1	0
Total	108	1	109

Accuracy

100.0%

Counts

109 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 re re (*.f64 im im))

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes11.0ms (0.7%)

Memory

-25.3MiB live, 21.1MiB allocated; 3ms collecting garbage

Counts

2 → 1

Calls

Call 1

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

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

Calls

5 calls:

5.0ms	(+.f64 (.f64 re re) (.f64 im im))
1.0ms	im
1.0ms	re
1.0ms	(*.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 28 to 21 computations (25.0% saved)

derivations10.0ms (0.6%)

Memory

15.8MiB live, 15.8MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 6 to 4 computations (33.3% saved)

preprocess8.0ms (0.5%)

Memory: 20.2MiB live, 20.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 49 to 33 computations (32.7% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze0.0ms (0.0%)

sample711.0ms (42.9%)

preprocess539.0ms (32.5%)

sample0.0ms (0.0%)

series9.0ms (0.6%)

rewrite94.0ms (5.7%)

eval24.0ms (1.4%)

prune3.0ms (0.2%)

sample0.0ms (0.0%)

series5.0ms (0.3%)

rewrite233.0ms (14.0%)

eval9.0ms (0.6%)

prune3.0ms (0.2%)

regimes11.0ms (0.7%)

derivations10.0ms (0.6%)

preprocess8.0ms (0.5%)

end0.0ms (0.0%)

Profiling