Metrics for math.log10 on complex, imaginary part

start0.0ms (0%)

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

analyze3.0ms (0.1%)

Memory

-41.3MiB live, 5.1MiB allocated; 2ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
50%	50%	50%	0.1%	0%	0%	0%	2
75%	74.9%	25%	0.1%	0%	0%	0%	3
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	4
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	5
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	6
98.4%	98.3%	1.6%	0.1%	0%	0%	0%	7
99.2%	99.1%	0.8%	0.1%	0%	0%	0%	8
99.6%	99.5%	0.4%	0.1%	0%	0%	0%	9
99.8%	99.7%	0.2%	0.1%	0%	0%	0%	10
99.9%	99.8%	0.1%	0.1%	0%	0%	0%	11
100%	99.9%	0%	0.1%	0%	0%	0%	12

Compiler

Compiled 8 to 8 computations (0% saved)

sample1.4s (52.7%)

Memory

-65.1MiB live, 787.7MiB allocated; 1.3s collecting garbage

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 880.0ms

ival-atan2: 843.0ms (95.8% of total)

ival-div!: 35.0ms (4% of total)

adjust: 2.0ms (0.2% of total)

Bogosity

preprocess287.0ms (10.8%)

Memory

-20.0MiB live, 25.5MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	42
1	29	40
2	56	40
3	84	40
4	107	40
5	185	40
6	793	40
7	4852	40

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.6%	(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))

Compiler

Compiled 12 to 12 computations (0% saved)

series91.0ms (3.4%)

Memory

29.6MiB live, 121.6MiB allocated; 16ms collecting garbage

Counts

6 → 4

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
(atan2.f64 im re)
im
re
(log.f64 #s(literal 10 binary64))
#s(literal 10 binary64)

Outputs
#s(approx (/ (atan2 im re) (log 10)) #s(hole binary64 (/ (atan2 im re) (log 10))))
#s(approx (atan2 im re) #s(hole binary64 (atan2 im re)))
#s(approx re #s(hole binary64 re))
#s(approx im #s(hole binary64 im))

Calls

6 calls:

Time	Variable		Point	Expression
36.0ms	re	@	0	((/ (atan2 im re) (log 10)) (atan2 im re) im re (log 10) 10)
28.0ms	im	@	inf	((/ (atan2 im re) (log 10)) (atan2 im re) im re (log 10) 10)
7.0ms	re	@	inf	((/ (atan2 im re) (log 10)) (atan2 im re) im re (log 10) 10)
7.0ms	im	@	-inf	((/ (atan2 im re) (log 10)) (atan2 im re) im re (log 10) 10)
7.0ms	re	@	-inf	((/ (atan2 im re) (log 10)) (atan2 im re) im re (log 10) 10)

rewrite54.0ms (2%)

Memory

19.8MiB live, 65.8MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	40
0	16	40
1	19	40
2	30	40
3	47	40
4	94	40
0	417	40

Stop Event

1×	iter-limit
1×	iter-limit
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

10 → 32

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
(atan2.f64 im re)
im
re
(log.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
#s(approx (/ (atan2 im re) (log 10)) #s(hole binary64 (/ (atan2 im re) (log 10))))
#s(approx (atan2 im re) #s(hole binary64 (atan2 im re)))
#s(approx re #s(hole binary64 re))
#s(approx im #s(hole binary64 im))

Outputs
(.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 1/10 binary64)))) (log.f64 #s(literal 10 binary64)))
(.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 3 binary64)))) (.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 1/10 binary64))))
(/.f64 (/.f64 (neg.f64 (atan2.f64 im re)) #s(literal -1 binary64)) (log.f64 #s(literal 10 binary64)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))))
(atan2.f64 im re)
(neg.f64 (neg.f64 (atan2.f64 im re)))
im
re
(*.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64)))
(*.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 3 binary64))) (*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 1/10 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 1/10 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 3 binary64)))) (*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 1/10 binary64))))
(/.f64 (*.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 1/10 binary64))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 1/10 binary64))) (log.f64 #s(literal 10 binary64)))
(/.f64 (neg.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 3 binary64))) (*.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 1/10 binary64))))
(neg.f64 (log.f64 #s(literal 1/10 binary64)))
(fma.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)) #s(literal 0 binary64))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1/10 binary64)))
(-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64)))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 #s(literal -10 binary64)))
(+.f64 #s(literal 0 binary64) (log.f64 #s(literal 10 binary64)))
(+.f64 (log.f64 #s(literal 10 binary64)) #s(literal 0 binary64))
(log.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
#s(approx (/ (atan2 im re) (log 10)) (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))))
#s(approx (atan2 im re) (atan2.f64 im re))
#s(approx re re)
#s(approx im im)

eval6.0ms (0.2%)

Memory: -34.9MiB live, 10.1MiB allocated; 3ms collecting garbage
Compiler: Compiled 275 to 85 computations (69.1% saved)

prune2.0ms (0.1%)

Memory

4.7MiB live, 4.7MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	24	2	26
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	24	3	27

Accuracy

100.0%

Counts

27 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
✓	98.6%	(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
▶	98.8%	(.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 1/10 binary64)))) (log.f64 #s(literal 10 binary64)))

Status

Accuracy

Program

▶

99.8%

(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64))))

✓

98.6%

(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))

▶

98.8%

(*.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (*.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 1/10 binary64)))) (log.f64 #s(literal 10 binary64)))

Compiler

Compiled 26 to 24 computations (7.7% saved)

series138.0ms (5.2%)

Memory

-4.8MiB live, 277.9MiB allocated; 72ms collecting garbage

Counts

13 → 6

Calls

Call 1

Inputs
(.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 1/10 binary64)))) (log.f64 #s(literal 10 binary64)))
(/.f64 (neg.f64 (atan2.f64 im re)) (*.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 1/10 binary64))))
(neg.f64 (atan2.f64 im re))
(atan2.f64 im re)
im
re
(*.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 1/10 binary64)))
(log.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
(log.f64 #s(literal 1/10 binary64))
#s(literal 1/10 binary64)
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
(neg.f64 (log.f64 #s(literal 1/10 binary64)))

Outputs
#s(approx (* (/ (neg (atan2 im re)) (* (log 10) (log 1/10))) (log 10)) #s(hole binary64 (* -1 (/ (atan2 im re) (log 1/10)))))
#s(approx (/ (neg (atan2 im re)) (* (log 10) (log 1/10))) #s(hole binary64 (* -1 (/ (atan2 im re) (* (log 1/10) (log 10))))))
#s(approx (neg (atan2 im re)) #s(hole binary64 (* -1 (atan2 im re))))
#s(approx (atan2 im re) #s(hole binary64 (atan2 im re)))
#s(approx re #s(hole binary64 re))
#s(approx im #s(hole binary64 im))

Calls

6 calls:

Time	Variable		Point	Expression
32.0ms	re	@	0	((* (/ (neg (atan2 im re)) (* (log 10) (log 1/10))) (log 10)) (/ (neg (atan2 im re)) (* (log 10) (log 1/10))) (neg (atan2 im re)) (atan2 im re) im re (* (log 10) (log 1/10)) (log 10) 10 (log 1/10) 1/10 (/ (atan2 im re) (neg (log 1/10))) (neg (log 1/10)))
26.0ms	im	@	inf	((* (/ (neg (atan2 im re)) (* (log 10) (log 1/10))) (log 10)) (/ (neg (atan2 im re)) (* (log 10) (log 1/10))) (neg (atan2 im re)) (atan2 im re) im re (* (log 10) (log 1/10)) (log 10) 10 (log 1/10) 1/10 (/ (atan2 im re) (neg (log 1/10))) (neg (log 1/10)))
23.0ms	im	@	-inf	((* (/ (neg (atan2 im re)) (* (log 10) (log 1/10))) (log 10)) (/ (neg (atan2 im re)) (* (log 10) (log 1/10))) (neg (atan2 im re)) (atan2 im re) im re (* (log 10) (log 1/10)) (log 10) 10 (log 1/10) 1/10 (/ (atan2 im re) (neg (log 1/10))) (neg (log 1/10)))
20.0ms	re	@	-inf	((* (/ (neg (atan2 im re)) (* (log 10) (log 1/10))) (log 10)) (/ (neg (atan2 im re)) (* (log 10) (log 1/10))) (neg (atan2 im re)) (atan2 im re) im re (* (log 10) (log 1/10)) (log 10) 10 (log 1/10) 1/10 (/ (atan2 im re) (neg (log 1/10))) (neg (log 1/10)))
19.0ms	re	@	inf	((* (/ (neg (atan2 im re)) (* (log 10) (log 1/10))) (log 10)) (/ (neg (atan2 im re)) (* (log 10) (log 1/10))) (neg (atan2 im re)) (atan2 im re) im re (* (log 10) (log 1/10)) (log 10) 10 (log 1/10) 1/10 (/ (atan2 im re) (neg (log 1/10))) (neg (log 1/10)))

rewrite162.0ms (6.1%)

Memory

20.7MiB live, 206.4MiB allocated; 44ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	120
0	47	115
1	82	115
2	193	94
3	753	94
0	4472	94

Stop Event

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

Counts

19 → 794

Calls

Call 1

Inputs
(.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 1/10 binary64)))) (log.f64 #s(literal 10 binary64)))
(/.f64 (neg.f64 (atan2.f64 im re)) (*.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 1/10 binary64))))
(neg.f64 (atan2.f64 im re))
(atan2.f64 im re)
im
re
(*.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 1/10 binary64)))
(log.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
(log.f64 #s(literal 1/10 binary64))
#s(literal 1/10 binary64)
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
(neg.f64 (log.f64 #s(literal 1/10 binary64)))
#s(approx (* (/ (neg (atan2 im re)) (* (log 10) (log 1/10))) (log 10)) #s(hole binary64 (* -1 (/ (atan2 im re) (log 1/10)))))
#s(approx (/ (neg (atan2 im re)) (* (log 10) (log 1/10))) #s(hole binary64 (* -1 (/ (atan2 im re) (* (log 1/10) (log 10))))))
#s(approx (neg (atan2 im re)) #s(hole binary64 (* -1 (atan2 im re))))
#s(approx (atan2 im re) #s(hole binary64 (atan2 im re)))
#s(approx re #s(hole binary64 re))
#s(approx im #s(hole binary64 im))

Outputs
(.f64 (/.f64 (atan2.f64 im re) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))) (.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 1/10 binary64))))
(.f64 (/.f64 (.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))) (fabs.f64 (log.f64 #s(literal 1/10 binary64)))) (/.f64 #s(literal -1 binary64) (fabs.f64 (log.f64 #s(literal 1/10 binary64)))))
(.f64 (/.f64 (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (fabs.f64 (log.f64 #s(literal 1/10 binary64)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (log.f64 #s(literal 1/10 binary64)))))
(*.f64 (/.f64 (atan2.f64 im re) (fabs.f64 (log.f64 #s(literal 1/10 binary64)))) (/.f64 (log.f64 #s(literal 10 binary64)) (fabs.f64 (log.f64 #s(literal 1/10 binary64)))))
(*.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (fabs.f64 (log.f64 #s(literal 1/10 binary64)))) (/.f64 (neg.f64 (atan2.f64 im re)) (fabs.f64 (log.f64 #s(literal 1/10 binary64)))))
(*.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (fabs.f64 (log.f64 #s(literal 1/10 binary64)))) (/.f64 (log.f64 #s(literal 1/10 binary64)) (fabs.f64 (log.f64 #s(literal 1/10 binary64)))))
(*.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (fabs.f64 (log.f64 #s(literal 1/10 binary64)))) (/.f64 (atan2.f64 im re) (fabs.f64 (log.f64 #s(literal 1/10 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (log.f64 #s(literal 1/10 binary64)))) (/.f64 (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (fabs.f64 (log.f64 #s(literal 1/10 binary64)))))
(.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 (log.f64 #s(literal 1/10 binary64)))) (/.f64 (.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))) (fabs.f64 (log.f64 #s(literal 1/10 binary64)))))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 1/10 binary64)))) (*.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 1/10 binary64)))) (*.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))) (log.f64 (exp.f64 #s(literal -1 binary64))))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))) #s(literal -1 binary64))
(.f64 (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 1/10 binary64)))))
(.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64))))) (log.f64 #s(literal 100 binary64)))
(.f64 #s(literal 2 binary64) (.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))) (neg.f64 (atan2.f64 im re)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (atan2.f64 im re))
(.f64 (.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 1/10 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))))
(.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64)))) (log.f64 #s(literal 1/10 binary64)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))))
(.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 1/10 binary64)))) (log.f64 #s(literal 10 binary64)))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))))
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))))
(.f64 (log.f64 #s(literal 1/10 binary64)) (/.f64 (atan2.f64 im re) (.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64)))))
(.f64 (log.f64 #s(literal 10 binary64)) (/.f64 (atan2.f64 im re) (.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 1/10 binary64)))))
(/.f64 (.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 1/10 binary64)))) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))) (*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 1/10 binary64))))
(/.f64 (.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 1/10 binary64)))) (*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64)))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (.f64 (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))) (/.f64 (atan2.f64 im re) (.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 1/10 binary64))))) (*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 1/10 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))) (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))))) (+.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))) #s(literal -1/2 binary64)) (.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))) #s(literal -1/2 binary64))) (.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))) #s(literal -1/2 binary64)) (.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))) #s(literal -1/2 binary64)))) (-.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))) #s(literal -1/2 binary64)) (.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))) #s(literal -1/2 binary64))))
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(fma.f64 (log.f64 #s(literal 10 binary64)) (/.f64 (atan2.f64 im re) (.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 1/10 binary64)))) (.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64)))))))
(-.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))))
(+.f64 (.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))))))) (log.f64 (neg.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))))))))
(+.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))) #s(literal -1/2 binary64)) (.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))) #s(literal -1/2 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (*.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #s(literal 0 binary64)))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))))
(.f64 (.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))
(*.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64)))
(*.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64))
(*.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))) (.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 1/10 binary64))))
(/.f64 (.f64 (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 1/10 binary64))))
(/.f64 (.f64 (.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64))) #s(literal 1 binary64)) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64)))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (-.f64 (.f64 (log.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) (.f64 (log.f64 #s(literal -1/10 binary64)) (log.f64 #s(literal -1/10 binary64)))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64)) (.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64))) (.f64 (.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64)) (.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64)))) (-.f64 (.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64)) (.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64)) (.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64)) (-.f64 (.f64 (.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64)) (.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64))) (.f64 (.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64)) (.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal -1/10 binary64)) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64)) (fma.f64 (log.f64 #s(literal -1/10 binary64)) (log.f64 #s(literal -1/10 binary64)) (*.f64 (log.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1/10 binary64))))))
(/.f64 (fma.f64 #s(literal 2 binary64) (log.f64 #s(literal 10 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 #s(literal 10 binary64)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (log.f64 #s(literal 1/10 binary64)))) #s(literal 4 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (log.f64 #s(literal 1/10 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 #s(literal 10 binary64)))) #s(literal -4 binary64))
(/.f64 (fma.f64 (log.f64 #s(literal 10 binary64)) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (log.f64 #s(literal 1/10 binary64)))) #s(literal -4 binary64))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))) (*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 #s(literal 10 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 #s(literal 1/10 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))) (*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 1/10 binary64))))
(/.f64 (*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 1/10 binary64))) (log.f64 #s(literal 10 binary64)))
(/.f64 (*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64))
(/.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1 binary64))
(neg.f64 (log.f64 #s(literal 1/10 binary64)))
(fma.f64 (.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64) (.f64 (log.f64 #s(literal 10 binary64)) #s(literal 0 binary64)))
(fma.f64 (*.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64)) (.f64 (log.f64 #s(literal 10 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)) (*.f64 (log.f64 #s(literal 10 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64)) (*.f64 (log.f64 #s(literal 10 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64)) #s(literal 0 binary64))
(fma.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64) (*.f64 (log.f64 #s(literal 10 binary64)) #s(literal 0 binary64)))
(fma.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64) (*.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1 binary64) (*.f64 (log.f64 #s(literal 10 binary64)) #s(literal 0 binary64)))
(fma.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(-.f64 (fma.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64)) (*.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1/10 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 (.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)) (*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 1/10 binary64)))))
(-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64)))
(+.f64 (/.f64 (.f64 (.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (log.f64 #s(literal 10 binary64))) (log.f64 #s(literal 1/10 binary64))) (/.f64 (.f64 (.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (log.f64 #s(literal 10 binary64))) (log.f64 #s(literal 1/10 binary64))))
(+.f64 (log.f64 (pow.f64 #s(literal 1/10 binary64) #s(literal -1/2 binary64))) (log.f64 (pow.f64 #s(literal 1/10 binary64) #s(literal -1/2 binary64))))
(+.f64 (.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64)) (.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64)))
(+.f64 #s(literal 0 binary64) (log.f64 #s(literal 10 binary64)))
(+.f64 (log.f64 #s(literal 10 binary64)) (*.f64 (log.f64 #s(literal 10 binary64)) #s(literal 0 binary64)))
(+.f64 (log.f64 #s(literal 10 binary64)) #s(literal 0 binary64))
(log.f64 #s(literal 10 binary64))
#s(approx (* (/ (neg (atan2 im re)) (* (log 10) (log 1/10))) (log 10)) (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))))
#s(approx (/ (neg (atan2 im re)) (* (log 10) (log 1/10))) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 1/10 binary64)))))
#s(approx (neg (atan2 im re)) (neg.f64 (atan2.f64 im re)))
#s(approx (atan2 im re) (atan2.f64 im re))
#s(approx re re)
#s(approx im im)

eval145.0ms (5.4%)

Memory: 37.5MiB live, 215.9MiB allocated; 28ms collecting garbage
Compiler: Compiled 15 913 to 2 114 computations (86.7% saved)

prune17.0ms (0.7%)

Memory

-13.9MiB live, 31.2MiB allocated; 7ms collecting garbage

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	730	2	732
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	730	5	735

Accuracy

100.0%

Counts

735 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (atan2.f64 im re) (.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64))))) (log.f64 #s(literal 10 binary64)) (*.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))) #s(literal -1/2 binary64)))
✓	99.8%	(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
✓	98.6%	(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
▶	98.6%	(*.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (log.f64 #s(literal 10 binary64))) (log.f64 #s(literal 10 binary64)))
✓	98.8%	(.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 1/10 binary64)))) (log.f64 #s(literal 10 binary64)))

Compiler

Compiled 60 to 46 computations (23.3% saved)

series112.0ms (4.2%)

Memory

6.0MiB live, 191.7MiB allocated; 44ms collecting garbage

Counts

17 → 10

Calls

Call 1

Inputs
(*.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (log.f64 #s(literal 10 binary64))) (log.f64 #s(literal 10 binary64)))
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (log.f64 #s(literal 10 binary64)))
(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
(atan2.f64 im re)
im
re
(log.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
(fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (atan2.f64 im re) (.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64))))) (log.f64 #s(literal 10 binary64)) (*.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))) #s(literal -1/2 binary64)))
(.f64 #s(literal -1/2 binary64) (/.f64 (atan2.f64 im re) (.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64)))))
#s(literal -1/2 binary64)
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64))))
(*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64)))
(log.f64 #s(literal 1/10 binary64))
#s(literal 1/10 binary64)
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))) #s(literal -1/2 binary64))
(/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64)))

Outputs
#s(approx (* (/ (/ (atan2 im re) (log 10)) (log 10)) (log 10)) #s(hole binary64 (/ (atan2 im re) (log 10))))
#s(approx (/ (/ (atan2 im re) (log 10)) (log 10)) #s(hole binary64 (/ (atan2 im re) (pow (log 10) 2))))
#s(approx (atan2 im re) #s(hole binary64 (atan2 im re)))
#s(approx re #s(hole binary64 re))
#s(approx (+ (* (* -1/2 (/ (atan2 im re) (* (log 1/10) (log 10)))) (log 10)) (* (/ (atan2 im re) (log 1/10)) -1/2)) #s(hole binary64 (* -1 (/ (atan2 im re) (log 1/10)))))
#s(approx (* -1/2 (/ (atan2 im re) (* (log 1/10) (log 10)))) #s(hole binary64 (* -1/2 (/ (atan2 im re) (* (log 1/10) (log 10))))))
#s(approx (/ (atan2 im re) (* (log 1/10) (log 10))) #s(hole binary64 (/ (atan2 im re) (* (log 1/10) (log 10)))))
#s(approx (* (/ (atan2 im re) (log 1/10)) -1/2) #s(hole binary64 (* -1/2 (/ (atan2 im re) (log 1/10)))))
#s(approx (/ (atan2 im re) (log 1/10)) #s(hole binary64 (/ (atan2 im re) (log 1/10))))
#s(approx im #s(hole binary64 im))

Calls

6 calls:

Time	Variable		Point	Expression
22.0ms	re	@	-inf	((* (/ (/ (atan2 im re) (log 10)) (log 10)) (log 10)) (/ (/ (atan2 im re) (log 10)) (log 10)) (/ (atan2 im re) (log 10)) (atan2 im re) im re (log 10) 10 (+ (* (* -1/2 (/ (atan2 im re) (* (log 1/10) (log 10)))) (log 10)) (* (/ (atan2 im re) (log 1/10)) -1/2)) (* -1/2 (/ (atan2 im re) (* (log 1/10) (log 10)))) -1/2 (/ (atan2 im re) (* (log 1/10) (log 10))) (* (log 1/10) (log 10)) (log 1/10) 1/10 (* (/ (atan2 im re) (log 1/10)) -1/2) (/ (atan2 im re) (log 1/10)))
21.0ms	im	@	-inf	((* (/ (/ (atan2 im re) (log 10)) (log 10)) (log 10)) (/ (/ (atan2 im re) (log 10)) (log 10)) (/ (atan2 im re) (log 10)) (atan2 im re) im re (log 10) 10 (+ (* (* -1/2 (/ (atan2 im re) (* (log 1/10) (log 10)))) (log 10)) (* (/ (atan2 im re) (log 1/10)) -1/2)) (* -1/2 (/ (atan2 im re) (* (log 1/10) (log 10)))) -1/2 (/ (atan2 im re) (* (log 1/10) (log 10))) (* (log 1/10) (log 10)) (log 1/10) 1/10 (* (/ (atan2 im re) (log 1/10)) -1/2) (/ (atan2 im re) (log 1/10)))
20.0ms	im	@	0	((* (/ (/ (atan2 im re) (log 10)) (log 10)) (log 10)) (/ (/ (atan2 im re) (log 10)) (log 10)) (/ (atan2 im re) (log 10)) (atan2 im re) im re (log 10) 10 (+ (* (* -1/2 (/ (atan2 im re) (* (log 1/10) (log 10)))) (log 10)) (* (/ (atan2 im re) (log 1/10)) -1/2)) (* -1/2 (/ (atan2 im re) (* (log 1/10) (log 10)))) -1/2 (/ (atan2 im re) (* (log 1/10) (log 10))) (* (log 1/10) (log 10)) (log 1/10) 1/10 (* (/ (atan2 im re) (log 1/10)) -1/2) (/ (atan2 im re) (log 1/10)))
19.0ms	re	@	0	((* (/ (/ (atan2 im re) (log 10)) (log 10)) (log 10)) (/ (/ (atan2 im re) (log 10)) (log 10)) (/ (atan2 im re) (log 10)) (atan2 im re) im re (log 10) 10 (+ (* (* -1/2 (/ (atan2 im re) (* (log 1/10) (log 10)))) (log 10)) (* (/ (atan2 im re) (log 1/10)) -1/2)) (* -1/2 (/ (atan2 im re) (* (log 1/10) (log 10)))) -1/2 (/ (atan2 im re) (* (log 1/10) (log 10))) (* (log 1/10) (log 10)) (log 1/10) 1/10 (* (/ (atan2 im re) (log 1/10)) -1/2) (/ (atan2 im re) (log 1/10)))
15.0ms	im	@	inf	((* (/ (/ (atan2 im re) (log 10)) (log 10)) (log 10)) (/ (/ (atan2 im re) (log 10)) (log 10)) (/ (atan2 im re) (log 10)) (atan2 im re) im re (log 10) 10 (+ (* (* -1/2 (/ (atan2 im re) (* (log 1/10) (log 10)))) (log 10)) (* (/ (atan2 im re) (log 1/10)) -1/2)) (* -1/2 (/ (atan2 im re) (* (log 1/10) (log 10)))) -1/2 (/ (atan2 im re) (* (log 1/10) (log 10))) (* (log 1/10) (log 10)) (log 1/10) 1/10 (* (/ (atan2 im re) (log 1/10)) -1/2) (/ (atan2 im re) (log 1/10)))

rewrite61.0ms (2.3%)

Memory

30.3MiB live, 71.7MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	253
0	69	248
1	132	245
0	512	243

Stop Event

1×	iter-limit
1×	iter-limit
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

27 → 108

Calls

Call 1

Inputs
(*.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (log.f64 #s(literal 10 binary64))) (log.f64 #s(literal 10 binary64)))
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (log.f64 #s(literal 10 binary64)))
(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
(atan2.f64 im re)
im
re
(log.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
(fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (atan2.f64 im re) (.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64))))) (log.f64 #s(literal 10 binary64)) (*.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))) #s(literal -1/2 binary64)))
(.f64 #s(literal -1/2 binary64) (/.f64 (atan2.f64 im re) (.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64)))))
#s(literal -1/2 binary64)
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64))))
(*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64)))
(log.f64 #s(literal 1/10 binary64))
#s(literal 1/10 binary64)
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))) #s(literal -1/2 binary64))
(/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64)))
#s(approx (* (/ (/ (atan2 im re) (log 10)) (log 10)) (log 10)) #s(hole binary64 (/ (atan2 im re) (log 10))))
#s(approx (/ (/ (atan2 im re) (log 10)) (log 10)) #s(hole binary64 (/ (atan2 im re) (pow (log 10) 2))))
#s(approx (atan2 im re) #s(hole binary64 (atan2 im re)))
#s(approx re #s(hole binary64 re))
#s(approx (+ (* (* -1/2 (/ (atan2 im re) (* (log 1/10) (log 10)))) (log 10)) (* (/ (atan2 im re) (log 1/10)) -1/2)) #s(hole binary64 (* -1 (/ (atan2 im re) (log 1/10)))))
#s(approx (* -1/2 (/ (atan2 im re) (* (log 1/10) (log 10)))) #s(hole binary64 (* -1/2 (/ (atan2 im re) (* (log 1/10) (log 10))))))
#s(approx (/ (atan2 im re) (* (log 1/10) (log 10))) #s(hole binary64 (/ (atan2 im re) (* (log 1/10) (log 10)))))
#s(approx (* (/ (atan2 im re) (log 1/10)) -1/2) #s(hole binary64 (* -1/2 (/ (atan2 im re) (log 1/10)))))
#s(approx (/ (atan2 im re) (log 1/10)) #s(hole binary64 (/ (atan2 im re) (log 1/10))))
#s(approx im #s(hole binary64 im))

Outputs
(.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 1/10 binary64)))) (log.f64 #s(literal 10 binary64)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 10 binary64))))
(.f64 (log.f64 #s(literal 10 binary64)) (/.f64 (atan2.f64 im re) (.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 1/10 binary64)))))
(/.f64 (*.f64 (log.f64 #s(literal 10 binary64)) (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64)))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (.f64 (log.f64 #s(literal 10 binary64)) (neg.f64 (atan2.f64 im re))) (.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64))))
(/.f64 (.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re)) (.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 1/10 binary64))))
(/.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))) (log.f64 #s(literal 10 binary64))) (log.f64 #s(literal 1/10 binary64)))
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(/.f64 (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 1/10 binary64))))
(/.f64 (neg.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (log.f64 #s(literal 10 binary64)))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (log.f64 #s(literal 10 binary64))) (log.f64 #s(literal 10 binary64)))
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(/.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (log.f64 #s(literal 10 binary64)))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 1/10 binary64))))
(neg.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))) #s(literal -1 binary64))
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(/.f64 (neg.f64 (neg.f64 (atan2.f64 im re))) (log.f64 #s(literal 10 binary64)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))))
(atan2.f64 im re)
im
re
(*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64)) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1 binary64))
(neg.f64 (log.f64 #s(literal 1/10 binary64)))
(exp.f64 (*.f64 (log.f64 (log.f64 #s(literal 10 binary64))) #s(literal 1 binary64)))
(log.f64 #s(literal 10 binary64))
#s(literal 10 binary64)
(.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))) (.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64)))) (log.f64 #s(literal 10 binary64)))))
(.f64 #s(literal -1/2 binary64) (fma.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64)))) (log.f64 #s(literal 10 binary64)) (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64)))) (.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 10 binary64)))) #s(literal 2 binary64))) (-.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))) #s(literal -1/2 binary64)) (.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64)))) (.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 10 binary64))))))
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(/.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64))))
(neg.f64 (/.f64 (atan2.f64 im re) (*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 1/10 binary64)))))
(*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64)))
(*.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 1/10 binary64)))
(neg.f64 (*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 1/10 binary64))))
(log.f64 (pow.f64 #s(literal 1/10 binary64) (log.f64 #s(literal 10 binary64))))
(log.f64 (pow.f64 #s(literal 10 binary64) (log.f64 #s(literal 1/10 binary64))))
(neg.f64 (log.f64 #s(literal 10 binary64)))
(log.f64 #s(literal 1/10 binary64))
#s(literal 1/10 binary64)
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))))
(*.f64 (atan2.f64 im re) (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 (atan2.f64 im re))) (log.f64 #s(literal 10 binary64)))
(/.f64 (*.f64 (neg.f64 (atan2.f64 im re)) #s(literal -1/2 binary64)) (log.f64 #s(literal 10 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (atan2.f64 im re))) (log.f64 #s(literal 10 binary64)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (atan2.f64 im re)) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (neg.f64 (neg.f64 (atan2.f64 im re))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 #s(literal 10 binary64)))
(/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64)))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))))
#s(approx (* (/ (/ (atan2 im re) (log 10)) (log 10)) (log 10)) (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))))
#s(approx (/ (/ (atan2 im re) (log 10)) (log 10)) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 1/10 binary64)))))
#s(approx (atan2 im re) (atan2.f64 im re))
#s(approx re re)
#s(approx (+ (* (* -1/2 (/ (atan2 im re) (* (log 1/10) (log 10)))) (log 10)) (* (/ (atan2 im re) (log 1/10)) -1/2)) (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))))
#s(approx (* -1/2 (/ (atan2 im re) (* (log 1/10) (log 10)))) (.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64)))) #s(literal -1/2 binary64)))
#s(approx (/ (atan2 im re) (* (log 1/10) (log 10))) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64)))))
#s(approx (* (/ (atan2 im re) (log 1/10)) -1/2) (*.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))) #s(literal -1/2 binary64)))
#s(approx (/ (atan2 im re) (log 1/10)) (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))))
#s(approx im im)

eval44.0ms (1.6%)

Memory: -33.0MiB live, 29.2MiB allocated; 46ms collecting garbage
Compiler: Compiled 2 528 to 323 computations (87.2% saved)

prune5.0ms (0.2%)

Memory

9.9MiB live, 9.9MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	100	5	105

Accuracy

100.0%

Counts

105 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (atan2.f64 im re) (.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64))))) (log.f64 #s(literal 10 binary64)) (*.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))) #s(literal -1/2 binary64)))
✓	99.8%	(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
✓	98.6%	(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
✓	98.6%	(*.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (log.f64 #s(literal 10 binary64))) (log.f64 #s(literal 10 binary64)))
✓	98.8%	(.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 1/10 binary64)))) (log.f64 #s(literal 10 binary64)))

Compiler

Compiled 120 to 69 computations (42.5% saved)

regimes15.0ms (0.6%)

Memory

-33.6MiB live, 13.1MiB allocated; 7ms collecting garbage

Counts

5 → 1

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
(*.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (log.f64 #s(literal 10 binary64))) (log.f64 #s(literal 10 binary64)))
(.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 1/10 binary64)))) (log.f64 #s(literal 10 binary64)))
(fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (atan2.f64 im re) (.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64))))) (log.f64 #s(literal 10 binary64)) (*.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))) #s(literal -1/2 binary64)))

Outputs
(fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (atan2.f64 im re) (.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64))))) (log.f64 #s(literal 10 binary64)) (*.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))) #s(literal -1/2 binary64)))

Outputs

(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (atan2.f64 im re) (*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64))))) (log.f64 #s(literal 10 binary64)) (*.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))) #s(literal -1/2 binary64)))

Calls

4 calls:

9.0ms	(atan2.f64 im re)
2.0ms	im
2.0ms	re
1.0ms	(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))

Results

Accuracy	Segments	Branch
99.9%	1	`(atan2.f64 im re)`
99.9%	1	`(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))`
99.9%	1	`re`
99.9%	1	`im`

Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes6.0ms (0.2%)

Memory

11.3MiB live, 11.3MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
(*.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (log.f64 #s(literal 10 binary64))) (log.f64 #s(literal 10 binary64)))
(.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 1/10 binary64)))) (log.f64 #s(literal 10 binary64)))

Outputs
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64))))

Calls

4 calls:

2.0ms	im
2.0ms	re
1.0ms	(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
1.0ms	(atan2.f64 im re)

Results

Accuracy	Segments	Branch
99.8%	1	`(atan2.f64 im re)`
99.8%	1	`(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))`
99.8%	1	`re`
99.8%	1	`im`

Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes4.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))

Outputs
(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))

Calls

4 calls:

1.0ms	im
1.0ms	re
1.0ms	(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
1.0ms	(atan2.f64 im re)

Results

Accuracy	Segments	Branch
98.6%	1	`(atan2.f64 im re)`
98.6%	1	`(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))`
98.6%	1	`re`
98.6%	1	`im`

Compiler

Compiled 11 to 13 computations (-18.2% saved)

derivations74.0ms (2.8%)

Memory

-12.5MiB live, 31.7MiB allocated; 12ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 35 to 17 computations (51.4% saved)

preprocess30.0ms (1.1%)

Memory: 12.6MiB live, 55.5MiB allocated; 19ms collecting garbage
Compiler: Compiled 41 to 23 computations (43.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze3.0ms (0.1%)

sample1.4s (52.7%)

preprocess287.0ms (10.8%)

series91.0ms (3.4%)

rewrite54.0ms (2%)

eval6.0ms (0.2%)

prune2.0ms (0.1%)

series138.0ms (5.2%)

rewrite162.0ms (6.1%)

eval145.0ms (5.4%)

prune17.0ms (0.7%)

series112.0ms (4.2%)

rewrite61.0ms (2.3%)

eval44.0ms (1.6%)

prune5.0ms (0.2%)

regimes15.0ms (0.6%)

regimes6.0ms (0.2%)

regimes4.0ms (0.1%)

derivations74.0ms (2.8%)

preprocess30.0ms (1.1%)

end0.0ms (0%)

Profiling