Metrics for math.log10 on complex, imaginary part

analyze2.0ms (0.1%)

Memory

3.9MiB live, 3.9MiB allocated

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)

sample729.0ms (25.3%)

Memory

42.9MiB live, 1 302.8MiB allocated

Samples

493.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 311.0ms

ival-log: 160.0ms (51.4% of total)

ival-atan2: 76.0ms (24.4% of total)

ival-div: 62.0ms (19.9% of total)

ival-true: 5.0ms (1.6% of total)

exact: 5.0ms (1.6% of total)

ival-assert: 3.0ms (1% of total)

Bogosity

preprocess17.0ms (0.6%)

Memory

-11.2MiB live, 25.9MiB allocated

Algorithm

1×	egg-herbie

Rules

54×	`sub-neg`
32×	`+-commutative`
20×	`div-sub`
18×	`*-commutative`
14×	`--rgt-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	36
1	31	36
2	45	36
3	65	36
4	83	36
5	104	36
6	129	36
7	146	36
8	151	36
9	153	36
0	6	6
0	9	6
0	9	6

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

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)))

explain70.0ms (2.4%)

Memory

-2.6MiB live, 149.8MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))`
-	-	`(log.f64 #s(literal 10 binary64))`
-	-	`re`
-	-	`(atan2.f64 im re)`
-	-	`im`
-	-	`#s(literal 10 binary64)`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

36.0ms

512×

valid

Compiler

Compiled 48 to 28 computations (41.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-atan2: 9.0ms (41.2% of total)

ival-div: 6.0ms (27.4% of total)

ival-log: 6.0ms (27.4% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.7%	(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify4.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Program
✓	cost-diff	(log.f64 #s(literal 10 binary64))
✓	cost-diff	(atan2.f64 im re)
✓	cost-diff	(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))

Rules

2×	`lift-/.f64`
2×	`lower-/.f32`
2×	`lift-log.f64`
2×	`lower-log.f32`
2×	`lower-atan2.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	14
0	9	14
0	9	14

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

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
(/.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)

localize26.0ms (0.9%)

Memory

-0.6MiB live, 42.1MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(atan2.f64 im re)
✓	accuracy	100.0%	(log.f64 #s(literal 10 binary64))
✓	accuracy	98.7%	(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))

Samples

19.0ms

256×

valid

Compiler

Compiled 16 to 8 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-div: 7.0ms (57.3% of total)

ival-log: 3.0ms (24.5% of total)

ival-atan2: 2.0ms (16.4% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series82.0ms (2.9%)

Memory

-13.9MiB live, 61.0MiB allocated

Counts

3 → 48

Calls

Call 1

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

Outputs
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>

Calls

12 calls:

Time	Variable		Point	Expression
44.0ms	im	@	0	(/ (atan2 im re) (log 10))
36.0ms	re	@	0	(/ (atan2 im re) (log 10))
0.0ms	re	@	inf	(/ (atan2 im re) (log 10))
0.0ms	im	@	inf	(/ (atan2 im re) (log 10))
0.0ms	im	@	-inf	(/ (atan2 im re) (log 10))

rewrite110.0ms (3.8%)

Memory

-0.9MiB live, 93.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

520×	`lower-*.f64`
520×	`lower-*.f32`
470×	`lower-/.f32`
468×	`lower-/.f64`
134×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
0	9	11
1	17	11
2	55	11
3	214	11
0	1201	11

Stop Event

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

Counts

3 → 118

Calls

Call 1

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

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

simplify5.0ms (0.2%)

Memory

7.7MiB live, 7.7MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`lower-/.f32`
2×	`lower-/.f64`
2×	`lower-atan2.f64`
2×	`lower-log.f64`
2×	`lower-log.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	216
0	6	216

Stop Event

1×	iter limit
1×	saturated

Counts

48 → 48

Calls

Call 1

Inputs
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)

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

eval28.0ms (1%)

Memory: -5.6MiB live, 33.7MiB allocated
Compiler: Compiled 1 710 to 280 computations (83.6% saved)

prune36.0ms (1.2%)

Memory

1.4MiB live, 39.4MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	161	5	166
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	161	6	167

Accuracy

100.0%

Counts

167 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
✓	98.7%	(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
▶	98.7%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re)))
▶	99.7%	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re)))
▶	98.8%	(*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
▶	98.8%	(.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (atan2.f64 im re)))

Compiler

Compiled 130 to 92 computations (29.2% saved)

simplify44.0ms (1.5%)

Memory

-5.9MiB live, 32.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log.f64 #s(literal 10 binary64))
✓	cost-diff	0	(pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64))
✓	cost-diff	1088	(/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
✓	cost-diff	19264	(*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
✓	cost-diff	0	(*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (atan2.f64 im re))
✓	cost-diff	0	(log.f64 #s(literal 10 binary64))
✓	cost-diff	0	(pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64))
✓	cost-diff	19264	(.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (atan2.f64 im re)))
✓	cost-diff	0	(atan2.f64 im re)
✓	cost-diff	0	(log.f64 #s(literal 10 binary64))
✓	cost-diff	0	(/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re)))
✓	cost-diff	0	(log.f64 #s(literal 1/10 binary64))
✓	cost-diff	0	(neg.f64 (log.f64 #s(literal 1/10 binary64)))
✓	cost-diff	0	(atan2.f64 im re)
✓	cost-diff	0	(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
✓	cost-diff	0	(atan2.f64 im re)
✓	cost-diff	0	(log.f64 #s(literal 1/10 binary64))
✓	cost-diff	0	(/.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re))
✓	cost-diff	576	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re)))

Rules

138×	`lower-*.f32`
134×	`lower-*.f64`
124×	`lower-fma.f64`
124×	`lower-fma.f32`
102×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	142
0	37	129
1	55	129
2	76	121
3	97	121
4	155	121
5	212	121
6	254	121
7	286	121
8	334	121
9	371	121
10	391	121
11	409	121
12	418	121
13	428	121
14	432	121
0	432	121

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize100.0ms (3.5%)

Memory

4.3MiB live, 200.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(log.f64 #s(literal 10 binary64))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
✓	accuracy	99.9%	(/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
✓	accuracy	98.8%	(*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
✓	accuracy	100.0%	(atan2.f64 im re)
✓	accuracy	100.0%	(log.f64 #s(literal 10 binary64))
✓	accuracy	99.9%	(*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (atan2.f64 im re))
✓	accuracy	98.8%	(.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (atan2.f64 im re)))
✓	accuracy	100.0%	(atan2.f64 im re)
✓	accuracy	100.0%	(log.f64 #s(literal 10 binary64))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re)))
✓	accuracy	98.7%	(/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re))
✓	accuracy	100.0%	(atan2.f64 im re)
✓	accuracy	100.0%	(neg.f64 (log.f64 #s(literal 1/10 binary64)))
✓	accuracy	98.7%	(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
✓	accuracy	98.4%	(log.f64 #s(literal 1/10 binary64))
✓	accuracy	100.0%	(atan2.f64 im re)
✓	accuracy	99.9%	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re)))
✓	accuracy	98.7%	(/.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re))
✓	accuracy	98.4%	(log.f64 #s(literal 1/10 binary64))

Samples

55.0ms

256×

valid

Compiler

Compiled 144 to 24 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-div: 12.0ms (33.3% of total)

ival-mult: 6.0ms (16.7% of total)

ival-log: 6.0ms (16.7% of total)

ival-pow: 5.0ms (13.9% of total)

const: 4.0ms (11.1% of total)

ival-atan2: 2.0ms (5.6% of total)

ival-neg: 1.0ms (2.8% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series43.0ms (1.5%)

Memory

18.5MiB live, 90.9MiB allocated

Counts

15 → 264

Calls

Call 1

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

Outputs
#<alt (* -1 (/ (atan2 im re) (log 1/10)))>
#<alt (* -1 (/ (atan2 im re) (log 1/10)))>
#<alt (* -1 (/ (atan2 im re) (log 1/10)))>
#<alt (* -1 (/ (atan2 im re) (log 1/10)))>
#<alt (* -1 (/ (atan2 im re) (log 1/10)))>
#<alt (* -1 (/ (atan2 im re) (log 1/10)))>
#<alt (* -1 (/ (atan2 im re) (log 1/10)))>
#<alt (* -1 (/ (atan2 im re) (log 1/10)))>
#<alt (* -1 (/ (atan2 im re) (log 1/10)))>
#<alt (* -1 (/ (atan2 im re) (log 1/10)))>
#<alt (* -1 (/ (atan2 im re) (log 1/10)))>
#<alt (* -1 (/ (atan2 im re) (log 1/10)))>
#<alt (* -1 (/ (atan2 im re) (log 1/10)))>
#<alt (* -1 (/ (atan2 im re) (log 1/10)))>
#<alt (* -1 (/ (atan2 im re) (log 1/10)))>
#<alt (* -1 (/ (atan2 im re) (log 1/10)))>
#<alt (* -1 (/ (atan2 im re) (log 1/10)))>
#<alt (* -1 (/ (atan2 im re) (log 1/10)))>
#<alt (* -1 (/ (atan2 im re) (log 1/10)))>
#<alt (* -1 (/ (atan2 im re) (log 1/10)))>
#<alt (* -1 (/ (atan2 im re) (log 1/10)))>
#<alt (* -1 (/ (atan2 im re) (log 1/10)))>
#<alt (* -1 (/ (atan2 im re) (log 1/10)))>
#<alt (* -1 (/ (atan2 im re) (log 1/10)))>
#<alt (/ (log 1/10) (atan2 im re))>
#<alt (/ (log 1/10) (atan2 im re))>
#<alt (/ (log 1/10) (atan2 im re))>
#<alt (/ (log 1/10) (atan2 im re))>
#<alt (/ (log 1/10) (atan2 im re))>
#<alt (/ (log 1/10) (atan2 im re))>
#<alt (/ (log 1/10) (atan2 im re))>
#<alt (/ (log 1/10) (atan2 im re))>
#<alt (/ (log 1/10) (atan2 im re))>
#<alt (/ (log 1/10) (atan2 im re))>
#<alt (/ (log 1/10) (atan2 im re))>
#<alt (/ (log 1/10) (atan2 im re))>
#<alt (/ (log 1/10) (atan2 im re))>
#<alt (/ (log 1/10) (atan2 im re))>
#<alt (/ (log 1/10) (atan2 im re))>
#<alt (/ (log 1/10) (atan2 im re))>
#<alt (/ (log 1/10) (atan2 im re))>
#<alt (/ (log 1/10) (atan2 im re))>
#<alt (/ (log 1/10) (atan2 im re))>
#<alt (/ (log 1/10) (atan2 im re))>
#<alt (/ (log 1/10) (atan2 im re))>
#<alt (/ (log 1/10) (atan2 im re))>
#<alt (/ (log 1/10) (atan2 im re))>
#<alt (/ (log 1/10) (atan2 im re))>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (* -1 (/ (atan2 im re) (log 1/10)))>
#<alt (* -1 (/ (atan2 im re) (log 1/10)))>
#<alt (* -1 (/ (atan2 im re) (log 1/10)))>
#<alt (* -1 (/ (atan2 im re) (log 1/10)))>
#<alt (* -1 (/ (atan2 im re) (log 1/10)))>
#<alt (* -1 (/ (atan2 im re) (log 1/10)))>
#<alt (* -1 (/ (atan2 im re) (log 1/10)))>
#<alt (* -1 (/ (atan2 im re) (log 1/10)))>
#<alt (* -1 (/ (atan2 im re) (log 1/10)))>
#<alt (* -1 (/ (atan2 im re) (log 1/10)))>
#<alt (* -1 (/ (atan2 im re) (log 1/10)))>
#<alt (* -1 (/ (atan2 im re) (log 1/10)))>
#<alt (* -1 (/ (atan2 im re) (log 1/10)))>
#<alt (* -1 (/ (atan2 im re) (log 1/10)))>
#<alt (* -1 (/ (atan2 im re) (log 1/10)))>
#<alt (* -1 (/ (atan2 im re) (log 1/10)))>
#<alt (* -1 (/ (atan2 im re) (log 1/10)))>
#<alt (* -1 (/ (atan2 im re) (log 1/10)))>
#<alt (* -1 (/ (atan2 im re) (log 1/10)))>
#<alt (* -1 (/ (atan2 im re) (log 1/10)))>
#<alt (* -1 (/ (atan2 im re) (log 1/10)))>
#<alt (* -1 (/ (atan2 im re) (log 1/10)))>
#<alt (* -1 (/ (atan2 im re) (log 1/10)))>
#<alt (* -1 (/ (atan2 im re) (log 1/10)))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (log 10) (atan2 im re))>
#<alt (/ (log 10) (atan2 im re))>
#<alt (/ (log 10) (atan2 im re))>
#<alt (/ (log 10) (atan2 im re))>
#<alt (/ (log 10) (atan2 im re))>
#<alt (/ (log 10) (atan2 im re))>
#<alt (/ (log 10) (atan2 im re))>
#<alt (/ (log 10) (atan2 im re))>
#<alt (/ (log 10) (atan2 im re))>
#<alt (/ (log 10) (atan2 im re))>
#<alt (/ (log 10) (atan2 im re))>
#<alt (/ (log 10) (atan2 im re))>
#<alt (/ (log 10) (atan2 im re))>
#<alt (/ (log 10) (atan2 im re))>
#<alt (/ (log 10) (atan2 im re))>
#<alt (/ (log 10) (atan2 im re))>
#<alt (/ (log 10) (atan2 im re))>
#<alt (/ (log 10) (atan2 im re))>
#<alt (/ (log 10) (atan2 im re))>
#<alt (/ (log 10) (atan2 im re))>
#<alt (/ (log 10) (atan2 im re))>
#<alt (/ (log 10) (atan2 im re))>
#<alt (/ (log 10) (atan2 im re))>
#<alt (/ (log 10) (atan2 im re))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>

Calls

66 calls:

Time	Variable		Point	Expression
20.0ms	im	@	0	(/ -1 (/ (log 1/10) (atan2 im re)))
6.0ms	re	@	0	(/ -1 (/ (log 1/10) (atan2 im re)))
2.0ms	im	@	0	(/ (log 10) (atan2 im re))
1.0ms	im	@	0	(* (pow (log 10) -1/2) (atan2 im re))
1.0ms	im	@	inf	(/ -1 (/ (log 1/10) (atan2 im re)))

rewrite156.0ms (5.4%)

Memory

-4.7MiB live, 192.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

1 254×	`lower-*.f32`
1 250×	`lower-*.f64`
818×	`lower-/.f32`
804×	`lower-/.f64`
266×	`frac-times`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	100
0	37	86
1	102	76
2	386	76
0	2294	76

Stop Event

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

Counts

15 → 851

Calls

Call 1

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

Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re)))))
(exp.f64 (-.f64 (.f64 (log.f64 (log.f64 #s(literal 10 binary64))) #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (atan2.f64 im re)))))
(-.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re)))
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64)) (neg.f64 (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64)) (atan2.f64 im re)))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64)) (atan2.f64 im re))) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64))))
(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re)))
(/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64)) (atan2.f64 im re)))
(/.f64 (*.f64 (atan2.f64 im re) (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)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 #s(literal 1/10 binary64)))
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(/.f64 (neg.f64 (atan2.f64 im re)) (*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (atan2.f64 im re)) (*.f64 #s(literal -1 binary64) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
(/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)))))
(/.f64 (neg.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)))) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
(/.f64 (*.f64 (atan2.f64 im re) (neg.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(/.f64 (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)))
(pow.f64 (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64)) (atan2.f64 im re)) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (neg.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)))))
(*.f64 (atan2.f64 im re) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (atan2.f64 im re))
(.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(*.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64))))
(*.f64 (neg.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64))) (neg.f64 (atan2.f64 im re)))
(.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64))))
(.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) (.f64 (neg.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64))) (neg.f64 (atan2.f64 im re))))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
(.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64)) (atan2.f64 im re)))
(.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/4 binary64)) (.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/4 binary64)) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)))))
(.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64))) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)))
(.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/8 binary64)) (.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/8 binary64)) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)))))
(*.f64 (neg.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64))) (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal -1 binary64) (atan2.f64 im re))))
(.f64 (neg.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64))) (.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) (neg.f64 (atan2.f64 im re))))
(.f64 (pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (atan2.f64 im re) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)))) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)))) (neg.f64 (atan2.f64 im re)))
(*.f64 (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal -1 binary64) (atan2.f64 im re))))
(*.f64 (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
(*.f64 (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (atan2.f64 im re))))
(*.f64 (/.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))
(*.f64 (/.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (neg.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal -1 binary64) (atan2.f64 im re))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64)) (atan2.f64 im re)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1/2 binary64)) (atan2.f64 im re)) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64))) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64))))
(.f64 (.f64 (atan2.f64 im re) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/2 binary64)))
(.f64 (.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64))) (pow.f64 #s(literal -1 binary64) #s(literal -1/4 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1/4 binary64)))
(.f64 (.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64))) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/8 binary64))) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/8 binary64)))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (atan2.f64 im re))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
(neg.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
(/.f64 #s(literal -1 binary64) (neg.f64 (atan2.f64 im re)))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) #s(literal -1 binary64))
(pow.f64 (atan2.f64 im re) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (atan2.f64 im re) (atan2.f64 im re)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (atan2.f64 im re))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) #s(literal -1 binary64))
(*.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) (.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)))

simplify60.0ms (2.1%)

Memory

-38.4MiB live, 66.6MiB allocated

Algorithm

1×	egg-herbie

Rules

40×	`lower-+.f64`
40×	`lower-+.f32`
28×	`sub-neg`
24×	`lower-/.f32`
24×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	1680
1	25	1680
2	31	1680
3	37	1680
4	47	1680
5	53	1680
6	61	1680
7	75	1680
8	94	1680
9	109	1680
10	112	1680
0	112	1680

Stop Event

1×	iter limit
1×	saturated

Counts

264 → 264

Calls

Call 1

Inputs
(* -1 (/ (atan2 im re) (log 1/10)))
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(/ (log 1/10) (atan2 im re))
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(* -1 (/ (atan2 im re) (log 1/10)))
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(* (sqrt (/ 1 (log 10))) (atan2 im re))
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(* (sqrt (/ 1 (log 10))) (atan2 im re))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
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(* (sqrt (/ 1 (log 10))) (atan2 im re))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
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(* (sqrt (/ 1 (log 10))) (atan2 im re))
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(* (sqrt (/ 1 (log 10))) (atan2 im re))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
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(* (sqrt (/ 1 (log 10))) (atan2 im re))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
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(* (sqrt (/ 1 (log 10))) (atan2 im re))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
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(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))

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

eval199.0ms (6.9%)

Memory: 32.4MiB live, 482.5MiB allocated
Compiler: Compiled 23 960 to 1 988 computations (91.7% saved)

prune166.0ms (5.8%)

Memory

9.9MiB live, 305.6MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	1 642	2	1 644
Fresh	0	0	0
Picked	2	3	5
Done	0	1	1
Total	1 644	6	1 650

Accuracy

100.0%

Counts

1 650 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
✓	98.7%	(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
✓	98.7%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re)))
▶	98.7%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 #s(literal 10 binary64))))
✓	99.7%	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re)))
▶	98.8%	(.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (.f64 (atan2.f64 im re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))))))

Compiler

Compiled 65 to 50 computations (23.1% saved)

simplify9.0ms (0.3%)

Memory

-20.0MiB live, 19.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(atan2.f64 im re)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
✓	cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 #s(literal 10 binary64)))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 #s(literal 10 binary64))))
✓	cost-diff	0	(*.f64 (atan2.f64 im re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))))
✓	cost-diff	0	(log.f64 #s(literal 10 binary64))
✓	cost-diff	0	(pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64))
✓	cost-diff	0	(.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (.f64 (atan2.f64 im re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))))))

Rules

80×	`lower-*.f32`
74×	`lower-*.f64`
44×	`lower-/.f32`
38×	`lower-/.f64`
38×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	78
0	25	78
1	36	72
2	52	72
3	94	72
4	125	72
5	135	72
0	135	72

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize60.0ms (2.1%)

Memory

19.9MiB live, 133.2MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(log.f64 #s(literal 10 binary64))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 #s(literal 10 binary64))))
✓	accuracy	98.7%	(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 #s(literal 10 binary64)))
✓	accuracy	100.0%	(log.f64 #s(literal 10 binary64))
✓	accuracy	99.9%	(*.f64 (atan2.f64 im re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))))
✓	accuracy	98.8%	(.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (.f64 (atan2.f64 im re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))))))
✓	accuracy	98.4%	(/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))

Samples

38.0ms

256×

valid

Compiler

Compiled 80 to 17 computations (78.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-pow: 7.0ms (30.1% of total)

ival-div: 5.0ms (21.5% of total)

ival-mult: 4.0ms (17.2% of total)

ival-log: 3.0ms (12.9% of total)

ival-atan2: 2.0ms (8.6% of total)

ival-sqrt: 2.0ms (8.6% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series2.0ms (0.1%)

Memory

5.4MiB live, 5.4MiB allocated

Counts

9 → 144

Calls

Call 1

Inputs
#<alt (.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (.f64 (atan2.f64 im re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))))))>
#<alt (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64))>
#<alt (log.f64 #s(literal 10 binary64))>
#<alt (*.f64 (atan2.f64 im re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 #s(literal 10 binary64))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 #s(literal 10 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (atan2.f64 im re))>
#<alt (atan2.f64 im re)>
#<alt (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))>

Outputs
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (log 10) (atan2 im re))>
#<alt (/ (log 10) (atan2 im re))>
#<alt (/ (log 10) (atan2 im re))>
#<alt (/ (log 10) (atan2 im re))>
#<alt (/ (log 10) (atan2 im re))>
#<alt (/ (log 10) (atan2 im re))>
#<alt (/ (log 10) (atan2 im re))>
#<alt (/ (log 10) (atan2 im re))>
#<alt (/ (log 10) (atan2 im re))>
#<alt (/ (log 10) (atan2 im re))>
#<alt (/ (log 10) (atan2 im re))>
#<alt (/ (log 10) (atan2 im re))>
#<alt (/ (log 10) (atan2 im re))>
#<alt (/ (log 10) (atan2 im re))>
#<alt (/ (log 10) (atan2 im re))>
#<alt (/ (log 10) (atan2 im re))>
#<alt (/ (log 10) (atan2 im re))>
#<alt (/ (log 10) (atan2 im re))>
#<alt (/ (log 10) (atan2 im re))>
#<alt (/ (log 10) (atan2 im re))>
#<alt (/ (log 10) (atan2 im re))>
#<alt (/ (log 10) (atan2 im re))>
#<alt (/ (log 10) (atan2 im re))>
#<alt (/ (log 10) (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (/ 1 (atan2 im re))>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>

Calls

36 calls:

Time	Variable		Point	Expression
0.0ms	im	@	inf	(/ 1 (* (/ 1 (atan2 im re)) (log 10)))
0.0ms	im	@	0	(* (pow (log 10) -1/2) (* (atan2 im re) (sqrt (/ 1 (log 10)))))
0.0ms	im	@	inf	(* (pow (log 10) -1/2) (* (atan2 im re) (sqrt (/ 1 (log 10)))))
0.0ms	re	@	-inf	(* (pow (log 10) -1/2) (* (atan2 im re) (sqrt (/ 1 (log 10)))))
0.0ms	im	@	-inf	(* (pow (log 10) -1/2) (* (atan2 im re) (sqrt (/ 1 (log 10)))))

rewrite80.0ms (2.8%)

Memory

15.6MiB live, 126.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

568×	`lower-*.f32`
562×	`lower-*.f64`
358×	`lower-/.f32`
352×	`lower-/.f64`
152×	`frac-times`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	59
0	25	63
1	69	43
2	234	43
0	1030	43

Stop Event

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

Counts

9 → 339

Calls

Call 1

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

Outputs
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re)))))
(exp.f64 (-.f64 (neg.f64 (log.f64 (log.f64 #s(literal 10 binary64)))) (*.f64 #s(literal -1 binary64) (log.f64 (atan2.f64 im re)))))
(-.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))))
(neg.f64 (*.f64 (atan2.f64 im re) (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 10 binary64)))))
(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
(/.f64 (atan2.f64 im re) (*.f64 (sqrt.f64 (log.f64 #s(literal 10 binary64))) (sqrt.f64 (log.f64 #s(literal 10 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re)))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 #s(literal 10 binary64)))) (sqrt.f64 (log.f64 #s(literal 10 binary64))))
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (neg.f64 (atan2.f64 im re)) (*.f64 (neg.f64 (sqrt.f64 (log.f64 #s(literal 10 binary64)))) (sqrt.f64 (log.f64 #s(literal 10 binary64)))))
(/.f64 (neg.f64 (atan2.f64 im re)) (*.f64 (sqrt.f64 (log.f64 #s(literal 10 binary64))) (neg.f64 (sqrt.f64 (log.f64 #s(literal 10 binary64))))))
(/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
(/.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))) #s(literal -1 binary64))
(/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (atan2.f64 im re)) (.f64 (sqrt.f64 (log.f64 #s(literal 1/10 binary64))) (sqrt.f64 (log.f64 #s(literal 10 binary64)))))
(/.f64 (.f64 (atan2.f64 im re) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 (log.f64 #s(literal 10 binary64))) (sqrt.f64 (log.f64 #s(literal 1/10 binary64)))))
(/.f64 (*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 #s(literal 10 binary64))))) (neg.f64 (sqrt.f64 (log.f64 #s(literal 10 binary64)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
(/.f64 (*.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 #s(literal 10 binary64)))) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (log.f64 #s(literal 10 binary64)))))
(/.f64 (*.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 #s(literal 10 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (log.f64 #s(literal 1/10 binary64))))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 #s(literal 10 binary64))))) (neg.f64 (sqrt.f64 (log.f64 #s(literal 10 binary64)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 #s(literal 10 binary64))))) (sqrt.f64 (log.f64 #s(literal 1/10 binary64))))
(pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re)) (/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re)))) #s(literal -1 binary64))
(*.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))))
(*.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 10 binary64))) (atan2.f64 im re))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 #s(literal 10 binary64)))))
(*.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 #s(literal 10 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))))
(*.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 #s(literal 10 binary64)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) #s(literal 1 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 #s(literal -1 binary64) (.f64 (neg.f64 (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 10 binary64))))
(.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) (/.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64))) (sqrt.f64 (log.f64 #s(literal 10 binary64)))))
(.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) (.f64 (/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64))) (sqrt.f64 (log.f64 #s(literal 10 binary64)))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 10 binary64))) (neg.f64 (atan2.f64 im re)))
(*.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re)) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/8 binary64)) (.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/8 binary64)) (/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64))) (sqrt.f64 (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 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64))) (sqrt.f64 (log.f64 #s(literal 10 binary64)))) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)))
(.f64 (/.f64 (.f64 (atan2.f64 im re) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64))) (sqrt.f64 (log.f64 #s(literal 10 binary64)))) (*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) #s(literal -1 binary64)) (neg.f64 (atan2.f64 im re)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) #s(literal 1 binary64)) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 #s(literal 10 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) #s(literal -1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (/.f64 #s(literal -1 binary64) (atan2.f64 im re))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 10 binary64))) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64))) (/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64))) (sqrt.f64 (log.f64 #s(literal 10 binary64)))))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re)) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64))) (sqrt.f64 (log.f64 #s(literal 10 binary64))))) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64))) (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64))))
(.f64 (.f64 (/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64))) (sqrt.f64 (log.f64 #s(literal 10 binary64)))) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/8 binary64))) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/8 binary64)))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (log.f64 #s(literal 10 binary64)))))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (log.f64 (log.f64 #s(literal 10 binary64))))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 #s(literal 10 binary64)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 binary64))) #s(literal -1/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 #s(literal 10 binary64))) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (log.f64 #s(literal 10 binary64))) #s(literal -1/4 binary64) (*.f64 (log.f64 (log.f64 #s(literal 10 binary64))) #s(literal -1/4 binary64))))
(fabs.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (log.f64 #s(literal 10 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 #s(literal 10 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (log.f64 #s(literal 10 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (log.f64 #s(literal 10 binary64)))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (log.f64 #s(literal 1/10 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (log.f64 #s(literal 1/10 binary64))))
(/.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (log.f64 #s(literal 1/10 binary64)))))
(pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (log.f64 #s(literal 10 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 binary64)) #s(literal -1/4 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (log.f64 #s(literal 10 binary64))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (log.f64 #s(literal 10 binary64))))))
(*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 10 binary64)))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (log.f64 #s(literal 1/10 binary64)))))
(.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/8 binary64)) (.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/8 binary64)) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))))
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(neg.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re)))
(/.f64 (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) (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))))
(/.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))))
(/.f64 (sqrt.f64 (log.f64 #s(literal 10 binary64))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 #s(literal 10 binary64)))))
(/.f64 (log.f64 #s(literal 1/10 binary64)) (neg.f64 (atan2.f64 im re)))
(/.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 #s(literal 10 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64))) (/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64))) (sqrt.f64 (log.f64 #s(literal 10 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re)) #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64))) (sqrt.f64 (log.f64 #s(literal 10 binary64))))) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)))
(pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re)) #s(literal 1 binary64))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #s(literal -1 binary64))
(*.f64 (log.f64 #s(literal 10 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re)))
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 #s(literal 10 binary64)))
(*.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re)))
(*.f64 (log.f64 #s(literal 1/10 binary64)) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
(*.f64 (log.f64 #s(literal 1/10 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) #s(literal -1 binary64)))
(*.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) (log.f64 #s(literal 1/10 binary64)))
(.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) (.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) (log.f64 #s(literal 10 binary64))))
(.f64 (.f64 (log.f64 #s(literal 10 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 #s(literal 10 binary64))))) (sqrt.f64 (log.f64 #s(literal 10 binary64))))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (atan2.f64 im re))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
(neg.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(/.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (atan2.f64 im re)))
(/.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) #s(literal -1 binary64))
(pow.f64 (atan2.f64 im re) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (atan2.f64 im re) (atan2.f64 im re)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (atan2.f64 im re))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
(*.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) #s(literal -1 binary64))
(*.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) (.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (atan2.f64 im re)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal -1 binary64) (log.f64 (atan2.f64 im re))) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (log.f64 (atan2.f64 im re)))))
(-.f64 #s(literal 0 binary64) (neg.f64 (atan2.f64 im re)))
(neg.f64 (neg.f64 (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
(/.f64 (neg.f64 (atan2.f64 im re)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64))) (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)))
(pow.f64 (atan2.f64 im re) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) #s(literal -1 binary64))
(*.f64 (atan2.f64 im re) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (atan2.f64 im re))
(*.f64 #s(literal -1 binary64) (neg.f64 (atan2.f64 im re)))
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (atan2.f64 im re)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (atan2.f64 im re)) #s(literal -1 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)))
(atan2.f64 im re)
(exp.f64 (neg.f64 (log.f64 (log.f64 #s(literal 10 binary64)))))
(exp.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 (log.f64 #s(literal 10 binary64))) (*.f64 #s(literal -1/2 binary64) (log.f64 (log.f64 #s(literal 10 binary64))))))
(exp.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 (log.f64 #s(literal 10 binary64))) (*.f64 #s(literal 1/2 binary64) (neg.f64 (log.f64 (log.f64 #s(literal 10 binary64)))))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (log.f64 (log.f64 #s(literal 10 binary64)))) (*.f64 #s(literal -1/2 binary64) (log.f64 (log.f64 #s(literal 10 binary64))))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (log.f64 (log.f64 #s(literal 10 binary64)))) (*.f64 #s(literal 1/2 binary64) (neg.f64 (log.f64 (log.f64 #s(literal 10 binary64)))))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 10 binary64))))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 10 binary64))))
(/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (log.f64 #s(literal 10 binary64))) (sqrt.f64 (log.f64 #s(literal 10 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 (log.f64 #s(literal 10 binary64)))) (neg.f64 (sqrt.f64 (log.f64 #s(literal 10 binary64))))))
(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) #s(literal 1 binary64))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (sqrt.f64 (log.f64 #s(literal 10 binary64))))
(/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (sqrt.f64 (log.f64 #s(literal 10 binary64)))) (sqrt.f64 (log.f64 #s(literal 10 binary64)))))
(/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (log.f64 #s(literal 10 binary64))) (neg.f64 (sqrt.f64 (log.f64 #s(literal 10 binary64))))))
(/.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 (log.f64 #s(literal 10 binary64))) (sqrt.f64 (log.f64 #s(literal 1/10 binary64)))))
(/.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 (neg.f64 (sqrt.f64 (log.f64 #s(literal 10 binary64)))) (sqrt.f64 (log.f64 #s(literal 1/10 binary64)))))
(/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (sqrt.f64 (log.f64 #s(literal 1/10 binary64))) (sqrt.f64 (log.f64 #s(literal 10 binary64)))))
(/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (sqrt.f64 (log.f64 #s(literal 1/10 binary64))) (neg.f64 (sqrt.f64 (log.f64 #s(literal 10 binary64))))))
(/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 (log.f64 #s(literal 1/10 binary64))) (sqrt.f64 (log.f64 #s(literal 1/10 binary64)))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (log.f64 #s(literal 10 binary64)))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (log.f64 #s(literal 1/10 binary64))))
(/.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))))) (neg.f64 (sqrt.f64 (log.f64 #s(literal 10 binary64)))))
(/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))))) (sqrt.f64 (log.f64 #s(literal 1/10 binary64))))
(pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (log.f64 #s(literal 10 binary64))) #s(literal -2 binary64))
(pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (sqrt.f64 (log.f64 #s(literal 10 binary64))) (sqrt.f64 (log.f64 #s(literal 10 binary64)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 binary64))) #s(literal -1/4 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 10 binary64))))
(.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) (.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))))))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 10 binary64))) #s(literal -1 binary64))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64))) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)))

simplify21.0ms (0.7%)

Memory

-8.5MiB live, 33.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`lower-/.f32`
8×	`lower-/.f64`
4×	`lower-*.f64`
4×	`lower-*.f32`
2×	`lower-sqrt.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	840
1	15	840
0	15	840

Stop Event

1×	iter limit
1×	saturated

Counts

144 → 144

Calls

Call 1

Inputs
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (log 10) (atan2 im re))
(/ (log 10) (atan2 im re))
(/ (log 10) (atan2 im re))
(/ (log 10) (atan2 im re))
(/ (log 10) (atan2 im re))
(/ (log 10) (atan2 im re))
(/ (log 10) (atan2 im re))
(/ (log 10) (atan2 im re))
(/ (log 10) (atan2 im re))
(/ (log 10) (atan2 im re))
(/ (log 10) (atan2 im re))
(/ (log 10) (atan2 im re))
(/ (log 10) (atan2 im re))
(/ (log 10) (atan2 im re))
(/ (log 10) (atan2 im re))
(/ (log 10) (atan2 im re))
(/ (log 10) (atan2 im re))
(/ (log 10) (atan2 im re))
(/ (log 10) (atan2 im re))
(/ (log 10) (atan2 im re))
(/ (log 10) (atan2 im re))
(/ (log 10) (atan2 im re))
(/ (log 10) (atan2 im re))
(/ (log 10) (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)

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

eval72.0ms (2.5%)

Memory: -27.7MiB live, 174.8MiB allocated
Compiler: Compiled 7 579 to 941 computations (87.6% saved)

prune43.0ms (1.5%)

Memory

-1.2MiB live, 120.9MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	559	1	560
Fresh	0	0	0
Picked	1	1	2
Done	0	4	4
Total	560	6	566

Accuracy

100.0%

Counts

566 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
✓	98.7%	(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
▶	98.6%	(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 #s(literal 10 binary64)))) (sqrt.f64 (log.f64 #s(literal 10 binary64))))
✓	98.7%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re)))
✓	98.7%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 #s(literal 10 binary64))))
✓	99.7%	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re)))

Compiler

Compiled 62 to 46 computations (25.8% saved)

simplify4.0ms (0.2%)

Memory

11.4MiB live, 11.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 (log.f64 #s(literal 10 binary64)))
✓	cost-diff	0	(atan2.f64 im re)
✓	cost-diff	0	(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 #s(literal 10 binary64))))
✓	cost-diff	8384	(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 #s(literal 10 binary64)))) (sqrt.f64 (log.f64 #s(literal 10 binary64))))

Rules

6×	`lower-/.f32`
4×	`lift-/.f64`
2×	`lift-sqrt.f64`
2×	`associate-/l/`
2×	`lower-*.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	29
0	13	29
1	15	24
2	16	24
3	17	24
0	17	24

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize28.0ms (1%)

Memory

-6.7MiB live, 69.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f64 (log.f64 #s(literal 10 binary64)))
✓	accuracy	100.0%	(log.f64 #s(literal 10 binary64))
✓	accuracy	99.8%	(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 #s(literal 10 binary64))))
✓	accuracy	98.7%	(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 #s(literal 10 binary64)))) (sqrt.f64 (log.f64 #s(literal 10 binary64))))

Samples

18.0ms

256×

valid

Compiler

Compiled 31 to 10 computations (67.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-atan2: 3.0ms (28.2% of total)

ival-div: 3.0ms (28.2% of total)

ival-log: 3.0ms (28.2% of total)

ival-sqrt: 2.0ms (18.8% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Counts

5 → 72

Calls

Call 1

Inputs
#<alt (/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 #s(literal 10 binary64)))) (sqrt.f64 (log.f64 #s(literal 10 binary64))))>
#<alt (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 #s(literal 10 binary64))))>
#<alt (atan2.f64 im re)>
#<alt (sqrt.f64 (log.f64 #s(literal 10 binary64)))>
#<alt (log.f64 #s(literal 10 binary64))>

Outputs
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	im	@	0	(/ (/ (atan2 im re) (sqrt (log 10))) (sqrt (log 10)))
0.0ms	im	@	inf	(/ (/ (atan2 im re) (sqrt (log 10))) (sqrt (log 10)))
0.0ms	re	@	-inf	(/ (/ (atan2 im re) (sqrt (log 10))) (sqrt (log 10)))
0.0ms	im	@	-inf	(/ (/ (atan2 im re) (sqrt (log 10))) (sqrt (log 10)))
0.0ms	re	@	inf	(/ (/ (atan2 im re) (sqrt (log 10))) (sqrt (log 10)))

rewrite274.0ms (9.5%)

Memory

28.5MiB live, 264.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 222×	`lower-*.f64`
2 222×	`lower-*.f32`
1 982×	`lower-fma.f64`
1 982×	`lower-fma.f32`
1 230×	`log-div`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	26
0	13	26
1	30	21
2	137	21
3	769	21
4	4946	21
0	8614	21

Stop Event

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

Counts

5 → 568

Calls

Call 1

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

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

simplify11.0ms (0.4%)

Memory

-15.2MiB live, 22.8MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`lower-*.f64`
4×	`lower-/.f32`
4×	`lower-/.f64`
4×	`lower-*.f32`
2×	`lower-sqrt.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	432
1	13	432
0	13	432

Stop Event

1×	iter limit
1×	saturated

Counts

72 → 72

Calls

Call 1

Inputs
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
(* (sqrt (/ 1 (log 10))) (atan2 im re))
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)

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

eval108.0ms (3.7%)

Memory: 21.0MiB live, 224.3MiB allocated
Compiler: Compiled 14 897 to 1 959 computations (86.8% saved)

prune158.0ms (5.5%)

Memory

-15.7MiB live, 220.3MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	865	0	865
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	865	6	871

Accuracy

100.0%

Counts

871 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
✓	98.7%	(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
✓	98.6%	(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 #s(literal 10 binary64)))) (sqrt.f64 (log.f64 #s(literal 10 binary64))))
✓	98.7%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re)))
✓	98.7%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 #s(literal 10 binary64))))
✓	99.7%	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re)))

Compiler

Compiled 156 to 78 computations (50% saved)

regimes13.0ms (0.5%)

Memory

-9.4MiB live, 29.0MiB allocated

Counts

9 → 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 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re)))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 #s(literal 10 binary64))))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 #s(literal 10 binary64)))) (sqrt.f64 (log.f64 #s(literal 10 binary64))))
(.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (.f64 (atan2.f64 im re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))))))
(.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (atan2.f64 im re)))
(*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))))

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

Calls

4 calls:

4.0ms	im
3.0ms	re
3.0ms	(atan2.f64 im re)
3.0ms	(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))

Results

Accuracy	Segments	Branch
99.7%	1	`re`
99.7%	1	`im`
99.7%	1	`(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))`
99.7%	1	`(atan2.f64 im re)`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes6.0ms (0.2%)

Memory

15.4MiB live, 15.4MiB allocated

Counts

2 → 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))))

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

Calls

4 calls:

2.0ms	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
99.7%	1	`re`
99.7%	1	`im`
99.7%	1	`(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))`
99.7%	1	`(atan2.f64 im re)`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes5.0ms (0.2%)

Memory

14.2MiB live, 14.2MiB allocated

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

Results

Accuracy	Segments	Branch
98.7%	1	`re`
98.7%	1	`im`
98.7%	1	`(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))`
98.7%	1	`(atan2.f64 im re)`

Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify7.0ms (0.3%)

Memory

-23.1MiB live, 15.3MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
6×	`+-commutative_binary64`
6×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	21
1	18	21
2	24	21
3	29	21
4	32	21
5	33	21

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

soundness67.0ms (2.3%)

Memory

-0.4MiB live, 78.2MiB allocated

Rules

520×	`lower-*.f64`
520×	`lower-*.f32`
470×	`lower-/.f32`
468×	`lower-/.f64`
134×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
0	9	11
1	17	11
2	55	11
3	214	11
0	1201	11

Stop Event

1×	done
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 48 to 31 computations (35.4% saved)

preprocess29.0ms (1%)

Memory: -3.2MiB live, 72.5MiB allocated
Compiler: Compiled 62 to 38 computations (38.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	14	36
1	31	36
2	45	36
3	65	36
4	83	36
5	104	36
6	129	36
7	146	36
8	151	36
9	153	36
0	6	6
0	9	6
0	9	6

Iter	Nodes	Cost
0	22	142
0	37	129
1	55	129
2	76	121
3	97	121
4	155	121
5	212	121
6	254	121
7	286	121
8	334	121
9	371	121
10	391	121
11	409	121
12	418	121
13	428	121
14	432	121
0	432	121

Iter	Nodes	Cost
0	14	36
1	31	36
2	45	36
3	65	36
4	83	36
5	104	36
6	129	36
7	146	36
8	151	36
9	153	36
0	6	6
0	9	6
0	9	6

Iter	Nodes	Cost
0	22	142
0	37	129
1	55	129
2	76	121
3	97	121
4	155	121
5	212	121
6	254	121
7	286	121
8	334	121
9	371	121
10	391	121
11	409	121
12	418	121
13	428	121
14	432	121
0	432	121

analyze2.0ms (0.1%)

sample729.0ms (25.3%)

preprocess17.0ms (0.6%)

explain70.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize26.0ms (0.9%)

series82.0ms (2.9%)

rewrite110.0ms (3.8%)

simplify5.0ms (0.2%)

eval28.0ms (1%)

prune36.0ms (1.2%)

simplify44.0ms (1.5%)

localize100.0ms (3.5%)

series43.0ms (1.5%)

rewrite156.0ms (5.4%)

simplify60.0ms (2.1%)

eval199.0ms (6.9%)

prune166.0ms (5.8%)

simplify9.0ms (0.3%)

localize60.0ms (2.1%)

series2.0ms (0.1%)

rewrite80.0ms (2.8%)

simplify21.0ms (0.7%)

eval72.0ms (2.5%)

prune43.0ms (1.5%)

simplify4.0ms (0.2%)

localize28.0ms (1%)

series1.0ms (0%)

rewrite274.0ms (9.5%)

simplify11.0ms (0.4%)

eval108.0ms (3.7%)

prune158.0ms (5.5%)

regimes13.0ms (0.5%)

regimes6.0ms (0.2%)

regimes5.0ms (0.2%)

simplify7.0ms (0.3%)

soundness67.0ms (2.3%)

preprocess29.0ms (1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	14	36
1	31	36
2	45	36
3	65	36
4	83	36
5	104	36
6	129	36
7	146	36
8	151	36
9	153	36
0	6	6
0	9	6
0	9	6

Iter	Nodes	Cost
0	22	142
0	37	129
1	55	129
2	76	121
3	97	121
4	155	121
5	212	121
6	254	121
7	286	121
8	334	121
9	371	121
10	391	121
11	409	121
12	418	121
13	428	121
14	432	121
0	432	121