Metrics for math.log10 on complex, imaginary part

start0.0ms (0%)

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

analyze1.0ms (0.1%)

Memory

3.4MiB live, 3.4MiB 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
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)

sample496.0ms (26.3%)

Memory

9.4MiB live, 618.8MiB allocated; 127ms collecting garbage

Samples

318.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 132.0ms

ival-atan2: 95.0ms (72.1% of total)

ival-div!: 35.0ms (26.6% of total)

adjust: 1.0ms (0.8% of total)

Bogosity

preprocess294.0ms (15.6%)

Memory

-3.5MiB live, 41.5MiB allocated; 13ms 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)

series69.0ms (3.7%)

Memory

17.1MiB live, 69.2MiB allocated; 11ms 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
23.0ms	re	@	0	((/ (atan2 im re) (log 10)) (atan2 im re) im re (log 10) 10)
22.0ms	im	@	0	((/ (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)
6.0ms	im	@	-inf	((/ (atan2 im re) (log 10)) (atan2 im re) im re (log 10) 10)
6.0ms	re	@	-inf	((/ (atan2 im re) (log 10)) (atan2 im re) im re (log 10) 10)

rewrite56.0ms (3%)

Memory

15.9MiB live, 15.9MiB allocated; 0ms 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	423	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)

eval2.0ms (0.1%)

Memory: 2.4MiB live, 2.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 145 to 85 computations (41.4% saved)

prune2.0ms (0.1%)

Memory

1.6MiB live, 1.6MiB 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)))
▶	98.7%	(.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)))

▶

98.7%

(*.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 25 to 24 computations (4% saved)

series136.0ms (7.2%)

Memory

-17.2MiB live, 168.2MiB allocated; 33ms 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
41.0ms	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)))
32.0ms	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)))
20.0ms	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)))
16.0ms	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)))
13.0ms	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)))

rewrite154.0ms (8.2%)

Memory

15.6MiB live, 153.3MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	120
0	47	115
1	82	115
2	196	94
3	791	94
0	5003	94

Stop Event

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

Counts

19 → 743

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

eval87.0ms (4.6%)

Memory: -9.0MiB live, 169.6MiB allocated; 38ms collecting garbage
Compiler: Compiled 6 999 to 1 936 computations (72.3% saved)

prune10.0ms (0.5%)

Memory

24.8MiB live, 24.9MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	661	2	663
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	661	5	666

Accuracy

100.0%

Counts

666 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.7%	(fma.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 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)))
✓	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)))
✓	98.7%	(.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 49 to 45 computations (8.2% saved)

series139.0ms (7.4%)

Memory

-10.1MiB live, 183.3MiB allocated; 53ms collecting garbage

Counts

15 → 8

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 (atan2.f64 im re) (log.f64 #s(literal 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)))
#s(literal 1/2 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)))
(log.f64 #s(literal 1/10 binary64))
#s(literal 1/10 binary64)
#s(literal -1/2 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 (+ (* (/ (atan2 im re) (log 10)) 1/2) (* (/ (atan2 im re) (log 1/10)) -1/2)) #s(hole binary64 (+ (* -1/2 (/ (atan2 im re) (log 1/10))) (* 1/2 (/ (atan2 im re) (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
39.0ms	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 (+ (* (/ (atan2 im re) (log 10)) 1/2) (* (/ (atan2 im re) (log 1/10)) -1/2)) 1/2 (* (/ (atan2 im re) (log 1/10)) -1/2) (/ (atan2 im re) (log 1/10)) (log 1/10) 1/10 -1/2)
36.0ms	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 (+ (* (/ (atan2 im re) (log 10)) 1/2) (* (/ (atan2 im re) (log 1/10)) -1/2)) 1/2 (* (/ (atan2 im re) (log 1/10)) -1/2) (/ (atan2 im re) (log 1/10)) (log 1/10) 1/10 -1/2)
18.0ms	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 (+ (* (/ (atan2 im re) (log 10)) 1/2) (* (/ (atan2 im re) (log 1/10)) -1/2)) 1/2 (* (/ (atan2 im re) (log 1/10)) -1/2) (/ (atan2 im re) (log 1/10)) (log 1/10) 1/10 -1/2)
18.0ms	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 (+ (* (/ (atan2 im re) (log 10)) 1/2) (* (/ (atan2 im re) (log 1/10)) -1/2)) 1/2 (* (/ (atan2 im re) (log 1/10)) -1/2) (/ (atan2 im re) (log 1/10)) (log 1/10) 1/10 -1/2)
14.0ms	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 (+ (* (/ (atan2 im re) (log 10)) 1/2) (* (/ (atan2 im re) (log 1/10)) -1/2)) 1/2 (* (/ (atan2 im re) (log 1/10)) -1/2) (/ (atan2 im re) (log 1/10)) (log 1/10) 1/10 -1/2)

rewrite84.0ms (4.5%)

Memory

-19.5MiB live, 84.3MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	184
0	59	179
1	134	176
0	693	176

Stop Event

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

Counts

23 → 86

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 (atan2.f64 im re) (log.f64 #s(literal 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)))
#s(literal 1/2 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)))
(log.f64 #s(literal 1/10 binary64))
#s(literal 1/10 binary64)
#s(literal -1/2 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 (+ (* (/ (atan2 im re) (log 10)) 1/2) (* (/ (atan2 im re) (log 1/10)) -1/2)) #s(hole binary64 (+ (* -1/2 (/ (atan2 im re) (log 1/10))) (* 1/2 (/ (atan2 im re) (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)))
(/.f64 (.f64 (neg.f64 (atan2.f64 im re)) (log.f64 #s(literal 10 binary64))) (.f64 (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 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)))
(log.f64 (pow.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 (neg.f64 (neg.f64 (atan2.f64 im re))) (neg.f64 (*.f64 (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 1/10 binary64)) (log.f64 #s(literal 10 binary64))))
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (log.f64 #s(literal 10 binary64)))
(/.f64 (atan2.f64 im re) (*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 1/10 binary64))))
(neg.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 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)))))
(neg.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))) (log.f64 #s(literal 10 binary64))))
(neg.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 1/10 binary64)))))
(/.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 (atan2.f64 im re) (log.f64 #s(literal 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 3 binary64)) (pow.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.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)) (+.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)) (.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 10 binary64))) #s(literal -1/2 binary64))))))
(/.f64 (fma.f64 (.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) (log.f64 #s(literal 10 binary64)) (.f64 (log.f64 #s(literal 1/10 binary64)) (.f64 (atan2.f64 im re) #s(literal 1/2 binary64)))) (.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64))))
(/.f64 (fma.f64 (.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (log.f64 #s(literal 1/10 binary64)) (.f64 (log.f64 #s(literal 10 binary64)) (.f64 (atan2.f64 im re) #s(literal -1/2 binary64)))) (.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))) #s(literal -1/2 binary64)) (fma.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))))) (neg.f64 (fma.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 (neg.f64 (fma.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))) #s(literal -1/2 binary64)) (fma.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))) (pow.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))))
(/.f64 (.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))) #s(literal -1/2 binary64)) (fma.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)))) (fma.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 (fma.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))) #s(literal -1/2 binary64)) (fma.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))) (pow.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))))
(fma.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)))
(fma.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 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)))
(fma.f64 (atan2.f64 im re) (/.f64 #s(literal 1/2 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)))
(fma.f64 (atan2.f64 im re) (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))) (*.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))) #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/2 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 -1/2 binary64)))
(fma.f64 #s(literal 1/2 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))) #s(literal -1/2 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)) (fma.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 (pow.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (fma.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 #s(literal 1/2 binary64) (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 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 10 binary64))) #s(literal -1/2 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 3 binary64)) (fma.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))) #s(literal -1/2 binary64)) (fma.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))) (pow.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))) #s(literal -1/2 binary64)) (fma.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))) (pow.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))) #s(literal -1/2 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) (log.f64 #s(literal 1/10 binary64))) #s(literal -1/2 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 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64))
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 10 binary64))))
(*.f64 (atan2.f64 im re) (/.f64 #s(literal -1/2 binary64) (log.f64 #s(literal 1/10 binary64))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (atan2.f64 im re))) (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 1/10 binary64)))
(/.f64 (*.f64 (neg.f64 (atan2.f64 im re)) #s(literal -1/2 binary64)) (log.f64 #s(literal 10 binary64)))
(/.f64 (neg.f64 (*.f64 (atan2.f64 im re) #s(literal -1/2 binary64))) (log.f64 #s(literal 10 binary64)))
(/.f64 (*.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (log.f64 #s(literal 10 binary64)))
(/.f64 (*.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) (log.f64 #s(literal 1/10 binary64)))
(neg.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))) #s(literal 1/2 binary64)))
(neg.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (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))))
(neg.f64 (log.f64 #s(literal 10 binary64)))
(log.f64 #s(literal 1/10 binary64))
#s(literal 1/10 binary64)
#s(literal -1/2 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 (+ (* (/ (atan2 im re) (log 10)) 1/2) (* (/ (atan2 im re) (log 1/10)) -1/2)) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))) (/.f64 (atan2.f64 im re) (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)

eval8.0ms (0.4%)

Memory: 14.8MiB live, 14.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 804 to 238 computations (70.4% saved)

prune3.0ms (0.2%)

Memory

6.0MiB live, 5.9MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	0	0	0
Picked	1	1	2
Done	0	3	3
Total	82	5	87

Accuracy

100.0%

Counts

87 → 5

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)))
▶	99.9%	(/.f64 (.f64 (neg.f64 (atan2.f64 im re)) (log.f64 #s(literal 10 binary64))) (.f64 (log.f64 #s(literal 1/10 binary64)) (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)))
✓	98.7%	(.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 47 to 43 computations (8.5% saved)

series89.0ms (4.7%)

Memory

-1.4MiB live, 188.0MiB allocated; 14ms collecting garbage

Counts

11 → 6

Calls

Call 1

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

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)) #s(hole binary64 (* -1 (* (log 10) (atan2 im re)))))
#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
18.0ms	im	@	inf	((/ (* (neg (atan2 im re)) (log 10)) (* (log 1/10) (log 10))) (* (neg (atan2 im re)) (log 10)) (neg (atan2 im re)) (atan2 im re) im re (log 10) 10 (* (log 1/10) (log 10)) (log 1/10) 1/10)
16.0ms	re	@	-inf	((/ (* (neg (atan2 im re)) (log 10)) (* (log 1/10) (log 10))) (* (neg (atan2 im re)) (log 10)) (neg (atan2 im re)) (atan2 im re) im re (log 10) 10 (* (log 1/10) (log 10)) (log 1/10) 1/10)
15.0ms	re	@	0	((/ (* (neg (atan2 im re)) (log 10)) (* (log 1/10) (log 10))) (* (neg (atan2 im re)) (log 10)) (neg (atan2 im re)) (atan2 im re) im re (log 10) 10 (* (log 1/10) (log 10)) (log 1/10) 1/10)
15.0ms	im	@	-inf	((/ (* (neg (atan2 im re)) (log 10)) (* (log 1/10) (log 10))) (* (neg (atan2 im re)) (log 10)) (neg (atan2 im re)) (atan2 im re) im re (log 10) 10 (* (log 1/10) (log 10)) (log 1/10) 1/10)
13.0ms	re	@	inf	((/ (* (neg (atan2 im re)) (log 10)) (* (log 1/10) (log 10))) (* (neg (atan2 im re)) (log 10)) (neg (atan2 im re)) (atan2 im re) im re (log 10) 10 (* (log 1/10) (log 10)) (log 1/10) 1/10)

rewrite110.0ms (5.9%)

Memory

-8.1MiB live, 132.9MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	101
0	40	98
1	70	80
2	206	80
3	758	80
0	3316	80

Stop Event

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

Counts

17 → 332

Calls

Call 1

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

eval35.0ms (1.9%)

Memory: 13.0MiB live, 105.0MiB allocated; 7ms collecting garbage
Compiler: Compiled 2 983 to 1 115 computations (62.6% saved)

prune7.0ms (0.4%)

Memory

21.9MiB live, 21.9MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	321	0	321
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	321	5	326

Accuracy

100.0%

Counts

326 → 5

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)))
✓	99.9%	(/.f64 (.f64 (neg.f64 (atan2.f64 im re)) (log.f64 #s(literal 10 binary64))) (.f64 (log.f64 #s(literal 1/10 binary64)) (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)))
✓	98.7%	(.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 89 to 67 computations (24.7% saved)

regimes10.0ms (0.5%)

Memory

-19.1MiB live, 27.8MiB allocated; 2ms collecting garbage

Counts

6 → 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)))
(/.f64 (.f64 (neg.f64 (atan2.f64 im re)) (log.f64 #s(literal 10 binary64))) (.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64))))
(fma.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 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)))

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

Calls

4 calls:

3.0ms	im
2.0ms	re
2.0ms	(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
2.0ms	(atan2.f64 im re)

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)

regimes7.0ms (0.3%)

Memory

22.0MiB live, 22.0MiB 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	re
2.0ms	im
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)

regimes9.0ms (0.5%)

Memory

-43.8MiB live, 15.2MiB allocated; 13ms 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:

6.0ms	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)

derivations42.0ms (2.2%)

Memory

9.0MiB live, 49.1MiB allocated; 9ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 18 to 14 computations (22.2% saved)

preprocess31.0ms (1.7%)

Memory: 38.3MiB live, 78.8MiB allocated; 13ms collecting garbage
Compiler: Compiled 24 to 20 computations (16.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0.1%)

sample496.0ms (26.3%)

preprocess294.0ms (15.6%)

series69.0ms (3.7%)

rewrite56.0ms (3%)

eval2.0ms (0.1%)

prune2.0ms (0.1%)

series136.0ms (7.2%)

rewrite154.0ms (8.2%)

eval87.0ms (4.6%)

prune10.0ms (0.5%)

series139.0ms (7.4%)

rewrite84.0ms (4.5%)

eval8.0ms (0.4%)

prune3.0ms (0.2%)

series89.0ms (4.7%)

rewrite110.0ms (5.9%)

eval35.0ms (1.9%)

prune7.0ms (0.4%)

regimes10.0ms (0.5%)

regimes7.0ms (0.3%)

regimes9.0ms (0.5%)

derivations42.0ms (2.2%)

preprocess31.0ms (1.7%)

end0.0ms (0%)

Profiling