Metrics for math.log10 on complex, imaginary part

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze2.0ms (0.1%)

Memory

3.0MiB live, 3.0MiB 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)

sample728.0ms (25.1%)

Memory

37.7MiB live, 939.7MiB allocated

Samples

502.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 279.0ms

ival-atan2: 106.0ms (38% of total)

ival-log: 97.0ms (34.8% of total)

ival-div: 62.0ms (22.2% of total)

ival-true: 6.0ms (2.2% of total)

exact: 5.0ms (1.8% of total)

ival-assert: 3.0ms (1.1% of total)

Bogosity

explain68.0ms (2.4%)

Memory

-5.7MiB live, 126.2MiB 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

33.0ms

512×

valid

Compiler

Compiled 38 to 22 computations (42.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-log: 6.0ms (41.3% of total)

ival-atan2: 4.0ms (27.5% of total)

ival-div: 3.0ms (20.6% of total)

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

exact: 0.0ms (0% of total)

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

preprocess16.0ms (0.6%)

Memory

2.1MiB live, 40.0MiB 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)))

Compiler

Compiled 6 to 6 computations (0% saved)

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

2.4MiB live, 2.4MiB 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 6 to 6 computations (0% saved)

simplify5.0ms (0.2%)

Memory

-28.7MiB live, 9.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

localize23.0ms (0.8%)

Memory

11.2MiB live, 52.8MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(atan2.f64 im re)
accuracy	0	(log.f64 #s(literal 10 binary64))
accuracy	0.8287887695368841	(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))

Samples

14.0ms

256×

valid

Compiler

Compiled 16 to 8 computations (50% saved)

Precisions

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

ival-log: 3.0ms (42.6% of total)

ival-atan2: 2.0ms (28.4% of total)

ival-div: 2.0ms (28.4% of total)

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

exact: 0.0ms (0% of total)

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

series76.0ms (2.6%)

Memory

16.3MiB live, 173.9MiB allocated

Counts

3 → 48

Calls

Call 1

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

Inputs

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

#s(alt (atan2.f64 im re) (patch (atan2.f64 im re) #<representation binary64>) () ())

#s(alt (log.f64 #s(literal 10 binary64)) (patch (log.f64 #s(literal 10 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (/ (atan2 im re) (log 10)) (taylor 0 re) (#s(alt (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log 10)) (taylor 0 re) (#s(alt (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log 10)) (taylor 0 re) (#s(alt (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log 10)) (taylor 0 re) (#s(alt (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (atan2 im re) (taylor 0 re) (#s(alt (atan2.f64 im re) (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt (atan2 im re) (taylor 0 re) (#s(alt (atan2.f64 im re) (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt (atan2 im re) (taylor 0 re) (#s(alt (atan2.f64 im re) (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt (atan2 im re) (taylor 0 re) (#s(alt (atan2.f64 im re) (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log 10)) (taylor inf re) (#s(alt (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log 10)) (taylor inf re) (#s(alt (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log 10)) (taylor inf re) (#s(alt (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log 10)) (taylor inf re) (#s(alt (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (atan2 im re) (taylor inf re) (#s(alt (atan2.f64 im re) (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt (atan2 im re) (taylor inf re) (#s(alt (atan2.f64 im re) (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt (atan2 im re) (taylor inf re) (#s(alt (atan2.f64 im re) (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt (atan2 im re) (taylor inf re) (#s(alt (atan2.f64 im re) (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log 10)) (taylor -inf re) (#s(alt (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log 10)) (taylor -inf re) (#s(alt (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log 10)) (taylor -inf re) (#s(alt (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log 10)) (taylor -inf re) (#s(alt (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (atan2 im re) (taylor -inf re) (#s(alt (atan2.f64 im re) (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt (atan2 im re) (taylor -inf re) (#s(alt (atan2.f64 im re) (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt (atan2 im re) (taylor -inf re) (#s(alt (atan2.f64 im re) (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt (atan2 im re) (taylor -inf re) (#s(alt (atan2.f64 im re) (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log 10)) (taylor 0 im) (#s(alt (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log 10)) (taylor 0 im) (#s(alt (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log 10)) (taylor 0 im) (#s(alt (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log 10)) (taylor 0 im) (#s(alt (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (atan2 im re) (taylor 0 im) (#s(alt (atan2.f64 im re) (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt (atan2 im re) (taylor 0 im) (#s(alt (atan2.f64 im re) (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt (atan2 im re) (taylor 0 im) (#s(alt (atan2.f64 im re) (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt (atan2 im re) (taylor 0 im) (#s(alt (atan2.f64 im re) (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log 10)) (taylor inf im) (#s(alt (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log 10)) (taylor inf im) (#s(alt (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log 10)) (taylor inf im) (#s(alt (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log 10)) (taylor inf im) (#s(alt (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (atan2 im re) (taylor inf im) (#s(alt (atan2.f64 im re) (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt (atan2 im re) (taylor inf im) (#s(alt (atan2.f64 im re) (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt (atan2 im re) (taylor inf im) (#s(alt (atan2.f64 im re) (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt (atan2 im re) (taylor inf im) (#s(alt (atan2.f64 im re) (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log 10)) (taylor -inf im) (#s(alt (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log 10)) (taylor -inf im) (#s(alt (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log 10)) (taylor -inf im) (#s(alt (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log 10)) (taylor -inf im) (#s(alt (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (patch (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (atan2 im re) (taylor -inf im) (#s(alt (atan2.f64 im re) (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt (atan2 im re) (taylor -inf im) (#s(alt (atan2.f64 im re) (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt (atan2 im re) (taylor -inf im) (#s(alt (atan2.f64 im re) (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt (atan2 im re) (taylor -inf im) (#s(alt (atan2.f64 im re) (patch (atan2.f64 im re) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
29.0ms	re	@	0	((/ (atan2 im re) (log 10)) (atan2 im re) (log 10))
15.0ms	re	@	-inf	((/ (atan2 im re) (log 10)) (atan2 im re) (log 10))
11.0ms	im	@	0	((/ (atan2 im re) (log 10)) (atan2 im re) (log 10))
7.0ms	im	@	inf	((/ (atan2 im re) (log 10)) (atan2 im re) (log 10))
6.0ms	re	@	inf	((/ (atan2 im re) (log 10)) (atan2 im re) (log 10))

simplify3.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB 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)
(atan2 im re)
(atan2 im re)
(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)
(atan2 im re)
(atan2 im re)
(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)
(atan2 im re)
(atan2 im re)
(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)
(atan2 im re)
(atan2 im re)
(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)
(atan2 im re)
(atan2 im re)
(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)
(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)
(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) (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) (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) (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) (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) (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)

rewrite71.0ms (2.4%)

Memory

-21.9MiB live, 56.2MiB 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×	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
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eval16.0ms (0.6%)

Memory: 19.1MiB live, 19.1MiB allocated
Compiler: Compiled 1 756 to 282 computations (83.9% saved)

prune15.0ms (0.5%)

Memory

-17.1MiB live, 21.7MiB 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
▶	99.8%	(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
▶	99.8%	(/.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)))
▶	82.5%	(/.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))))
▶	98.7%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re)))
▶	99.8%	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re)))

Compiler

Compiled 102 to 94 computations (7.8% saved)

simplify124.0ms (4.3%)

Memory

11.1MiB live, 96.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (atan2.f64 im re) #s(literal 2 binary64))
cost-diff	0	(neg.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))
cost-diff	448	(*.f64 (neg.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) #s(literal -1 binary64))
cost-diff	13248	(/.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))))
cost-diff	0	(/.f64 #s(literal -1 binary64) (atan2.f64 im re))
cost-diff	0	(log.f64 #s(literal 1/10 binary64))
cost-diff	0	(pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64))
cost-diff	7040	(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 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	(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)))
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))))

Rules

3 124×	`lower-*.f32`
3 120×	`lower-*.f64`
2 000×	`lower-fma.f64`
2 000×	`lower-fma.f32`
1 624×	`unsub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	142
0	41	134
1	68	132
2	134	124
3	317	124
4	1143	124
5	2131	124
6	3021	124
7	3704	124
8	4102	124
9	4467	124
10	4972	124
11	6753	124
0	8028	124

Stop Event

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

Calls

Call 1

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

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

localize116.0ms (4%)

Memory

-17.1MiB live, 107.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(log.f64 #s(literal 10 binary64))
accuracy	0.049160009768442016	(pow.f64 (atan2.f64 im re) #s(literal 2 binary64))
accuracy	0.8483200195368841	(*.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
accuracy	10.354263603422847	(/.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))))
accuracy	0.046875	(/.f64 #s(literal -1 binary64) (atan2.f64 im re))
accuracy	0.76171875	(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
accuracy	1.0	(pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64))
accuracy	1.0	(log.f64 #s(literal 1/10 binary64))
accuracy	0	(atan2.f64 im re)
accuracy	0	(log.f64 #s(literal 10 binary64))
accuracy	0.03515625	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re)))
accuracy	0.80859375	(/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re))
accuracy	0	(atan2.f64 im re)
accuracy	0.03515625	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re)))
accuracy	0.80859375	(/.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re))
accuracy	1.0	(log.f64 #s(literal 1/10 binary64))
accuracy	0	(atan2.f64 im re)
accuracy	0	(neg.f64 (log.f64 #s(literal 1/10 binary64)))
accuracy	0.8287887695368841	(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
accuracy	1.0	(log.f64 #s(literal 1/10 binary64))

Samples

99.0ms

256×

valid

Compiler

Compiled 144 to 26 computations (81.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-pow2: 33.0ms (46.6% of total)

ival-div: 13.0ms (18.4% of total)

ival-log: 6.0ms (8.5% of total)

ival-pow: 5.0ms (7.1% of total)

ival-atan2: 4.0ms (5.6% of total)

const: 4.0ms (5.6% of total)

ival-mult: 3.0ms (4.2% of total)

ival-neg: 2.0ms (2.8% of total)

exact: 1.0ms (1.4% of total)

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

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

series115.0ms (4%)

Memory

5.8MiB live, 199.4MiB allocated

Counts

17 → 312

Calls

Call 1

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

Outputs
#s(alt (* -1 (/ (atan2 im re) (log 1/10))) (taylor 0 re) (#s(alt (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) (patch (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (atan2 im re) (log 1/10))) (taylor 0 re) (#s(alt (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) (patch (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (atan2 im re) (log 1/10))) (taylor 0 re) (#s(alt (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) (patch (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (atan2 im re) (log 1/10))) (taylor 0 re) (#s(alt (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) (patch (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (atan2 im re) (taylor 0 re) (#s(alt (atan2.f64 im re) (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt (atan2 im re) (taylor 0 re) (#s(alt (atan2.f64 im re) (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt (atan2 im re) (taylor 0 re) (#s(alt (atan2.f64 im re) (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt (atan2 im re) (taylor 0 re) (#s(alt (atan2.f64 im re) (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
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#s(alt (* -1 (pow (atan2 im re) 2)) (taylor -inf im) (#s(alt (neg.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (patch (neg.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow (atan2 im re) 2)) (taylor -inf im) (#s(alt (neg.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (patch (neg.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow (atan2 im re) 2) (taylor -inf im) (#s(alt (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (patch (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (atan2 im re) 2) (taylor -inf im) (#s(alt (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (patch (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (atan2 im re) 2) (taylor -inf im) (#s(alt (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (patch (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (atan2 im re) 2) (taylor -inf im) (#s(alt (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (patch (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (log 10) (atan2 im re)) (taylor -inf im) (#s(alt (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (patch (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (log 10) (atan2 im re)) (taylor -inf im) (#s(alt (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (patch (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (log 10) (atan2 im re)) (taylor -inf im) (#s(alt (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (patch (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (log 10) (atan2 im re)) (taylor -inf im) (#s(alt (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (patch (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
28.0ms	re	@	0	((/ (atan2 im re) (neg (log 1/10))) (atan2 im re) (neg (log 1/10)) (log 1/10) (/ -1 (/ (log 1/10) (atan2 im re))) (/ (log 1/10) (atan2 im re)) (/ 1 (/ (log 10) (atan2 im re))) (/ (log 10) (atan2 im re)) (log 10) (/ (pow (log 1/10) -1) (/ -1 (atan2 im re))) (pow (log 1/10) -1) (/ -1 (atan2 im re)) (/ (* (neg (pow (atan2 im re) 2)) -1) (* (atan2 im re) (log 10))) (* (neg (pow (atan2 im re) 2)) -1) (neg (pow (atan2 im re) 2)) (pow (atan2 im re) 2) (* (atan2 im re) (log 10)))
18.0ms	im	@	inf	((/ (atan2 im re) (neg (log 1/10))) (atan2 im re) (neg (log 1/10)) (log 1/10) (/ -1 (/ (log 1/10) (atan2 im re))) (/ (log 1/10) (atan2 im re)) (/ 1 (/ (log 10) (atan2 im re))) (/ (log 10) (atan2 im re)) (log 10) (/ (pow (log 1/10) -1) (/ -1 (atan2 im re))) (pow (log 1/10) -1) (/ -1 (atan2 im re)) (/ (* (neg (pow (atan2 im re) 2)) -1) (* (atan2 im re) (log 10))) (* (neg (pow (atan2 im re) 2)) -1) (neg (pow (atan2 im re) 2)) (pow (atan2 im re) 2) (* (atan2 im re) (log 10)))
16.0ms	im	@	-inf	((/ (atan2 im re) (neg (log 1/10))) (atan2 im re) (neg (log 1/10)) (log 1/10) (/ -1 (/ (log 1/10) (atan2 im re))) (/ (log 1/10) (atan2 im re)) (/ 1 (/ (log 10) (atan2 im re))) (/ (log 10) (atan2 im re)) (log 10) (/ (pow (log 1/10) -1) (/ -1 (atan2 im re))) (pow (log 1/10) -1) (/ -1 (atan2 im re)) (/ (* (neg (pow (atan2 im re) 2)) -1) (* (atan2 im re) (log 10))) (* (neg (pow (atan2 im re) 2)) -1) (neg (pow (atan2 im re) 2)) (pow (atan2 im re) 2) (* (atan2 im re) (log 10)))
16.0ms	re	@	inf	((/ (atan2 im re) (neg (log 1/10))) (atan2 im re) (neg (log 1/10)) (log 1/10) (/ -1 (/ (log 1/10) (atan2 im re))) (/ (log 1/10) (atan2 im re)) (/ 1 (/ (log 10) (atan2 im re))) (/ (log 10) (atan2 im re)) (log 10) (/ (pow (log 1/10) -1) (/ -1 (atan2 im re))) (pow (log 1/10) -1) (/ -1 (atan2 im re)) (/ (* (neg (pow (atan2 im re) 2)) -1) (* (atan2 im re) (log 10))) (* (neg (pow (atan2 im re) 2)) -1) (neg (pow (atan2 im re) 2)) (pow (atan2 im re) 2) (* (atan2 im re) (log 10)))
15.0ms	im	@	0	((/ (atan2 im re) (neg (log 1/10))) (atan2 im re) (neg (log 1/10)) (log 1/10) (/ -1 (/ (log 1/10) (atan2 im re))) (/ (log 1/10) (atan2 im re)) (/ 1 (/ (log 10) (atan2 im re))) (/ (log 10) (atan2 im re)) (log 10) (/ (pow (log 1/10) -1) (/ -1 (atan2 im re))) (pow (log 1/10) -1) (/ -1 (atan2 im re)) (/ (* (neg (pow (atan2 im re) 2)) -1) (* (atan2 im re) (log 10))) (* (neg (pow (atan2 im re) 2)) -1) (neg (pow (atan2 im re) 2)) (pow (atan2 im re) 2) (* (atan2 im re) (log 10)))

simplify19.0ms (0.7%)

Memory

-3.4MiB live, 32.9MiB allocated

Algorithm

1×	egg-herbie

Rules

48×	`lower-+.f64`
48×	`lower-+.f32`
34×	`sub-neg`
30×	`lower-*.f64`
30×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	1800
1	26	1800
2	37	1800
3	44	1800
4	55	1800
5	67	1800
6	80	1800
7	96	1800
8	119	1800
9	135	1800
10	138	1800
0	138	1800

Stop Event

1×	iter limit
1×	saturated

Counts

312 → 312

Calls

Call 1

Inputs
(* -1 (/ (atan2 im re) (log 1/10)))
(* -1 (/ (atan2 im re) (log 1/10)))
(* -1 (/ (atan2 im re) (log 1/10)))
(* -1 (/ (atan2 im re) (log 1/10)))
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(* -1 (/ (atan2 im re) (log 1/10)))
(* -1 (/ (atan2 im re) (log 1/10)))
(* -1 (/ (atan2 im re) (log 1/10)))
(* -1 (/ (atan2 im re) (log 1/10)))
(/ (log 1/10) (atan2 im re))
(/ (log 1/10) (atan2 im re))
(/ (log 1/10) (atan2 im re))
(/ (log 1/10) (atan2 im re))
(/ (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))
(* -1 (/ (atan2 im re) (log 1/10)))
(* -1 (/ (atan2 im re) (log 1/10)))
(* -1 (/ (atan2 im re) (log 1/10)))
(* -1 (/ (atan2 im re) (log 1/10)))
(/ -1 (atan2 im re))
(/ -1 (atan2 im re))
(/ -1 (atan2 im re))
(/ -1 (atan2 im re))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(* -1 (pow (atan2 im re) 2))
(* -1 (pow (atan2 im re) 2))
(* -1 (pow (atan2 im re) 2))
(* -1 (pow (atan2 im re) 2))
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(* (log 10) (atan2 im re))
(* (log 10) (atan2 im re))
(* (log 10) (atan2 im re))
(* (log 10) (atan2 im re))
(* -1 (/ (atan2 im re) (log 1/10)))
(* -1 (/ (atan2 im re) (log 1/10)))
(* -1 (/ (atan2 im re) (log 1/10)))
(* -1 (/ (atan2 im re) (log 1/10)))
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(* -1 (/ (atan2 im re) (log 1/10)))
(* -1 (/ (atan2 im re) (log 1/10)))
(* -1 (/ (atan2 im re) (log 1/10)))
(* -1 (/ (atan2 im re) (log 1/10)))
(/ (log 1/10) (atan2 im re))
(/ (log 1/10) (atan2 im re))
(/ (log 1/10) (atan2 im re))
(/ (log 1/10) (atan2 im re))
(/ (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))
(* -1 (/ (atan2 im re) (log 1/10)))
(* -1 (/ (atan2 im re) (log 1/10)))
(* -1 (/ (atan2 im re) (log 1/10)))
(* -1 (/ (atan2 im re) (log 1/10)))
(/ -1 (atan2 im re))
(/ -1 (atan2 im re))
(/ -1 (atan2 im re))
(/ -1 (atan2 im re))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(* -1 (pow (atan2 im re) 2))
(* -1 (pow (atan2 im re) 2))
(* -1 (pow (atan2 im re) 2))
(* -1 (pow (atan2 im re) 2))
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(* (log 10) (atan2 im re))
(* (log 10) (atan2 im re))
(* (log 10) (atan2 im re))
(* (log 10) (atan2 im re))
(* -1 (/ (atan2 im re) (log 1/10)))
(* -1 (/ (atan2 im re) (log 1/10)))
(* -1 (/ (atan2 im re) (log 1/10)))
(* -1 (/ (atan2 im re) (log 1/10)))
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(* -1 (/ (atan2 im re) (log 1/10)))
(* -1 (/ (atan2 im re) (log 1/10)))
(* -1 (/ (atan2 im re) (log 1/10)))
(* -1 (/ (atan2 im re) (log 1/10)))
(/ (log 1/10) (atan2 im re))
(/ (log 1/10) (atan2 im re))
(/ (log 1/10) (atan2 im re))
(/ (log 1/10) (atan2 im re))
(/ (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))
(* -1 (/ (atan2 im re) (log 1/10)))
(* -1 (/ (atan2 im re) (log 1/10)))
(* -1 (/ (atan2 im re) (log 1/10)))
(* -1 (/ (atan2 im re) (log 1/10)))
(/ -1 (atan2 im re))
(/ -1 (atan2 im re))
(/ -1 (atan2 im re))
(/ -1 (atan2 im re))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(* -1 (pow (atan2 im re) 2))
(* -1 (pow (atan2 im re) 2))
(* -1 (pow (atan2 im re) 2))
(* -1 (pow (atan2 im re) 2))
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(* (log 10) (atan2 im re))
(* (log 10) (atan2 im re))
(* (log 10) (atan2 im re))
(* (log 10) (atan2 im re))
(* -1 (/ (atan2 im re) (log 1/10)))
(* -1 (/ (atan2 im re) (log 1/10)))
(* -1 (/ (atan2 im re) (log 1/10)))
(* -1 (/ (atan2 im re) (log 1/10)))
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(* -1 (/ (atan2 im re) (log 1/10)))
(* -1 (/ (atan2 im re) (log 1/10)))
(* -1 (/ (atan2 im re) (log 1/10)))
(* -1 (/ (atan2 im re) (log 1/10)))
(/ (log 1/10) (atan2 im re))
(/ (log 1/10) (atan2 im re))
(/ (log 1/10) (atan2 im re))
(/ (log 1/10) (atan2 im re))
(/ (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))
(* -1 (/ (atan2 im re) (log 1/10)))
(* -1 (/ (atan2 im re) (log 1/10)))
(* -1 (/ (atan2 im re) (log 1/10)))
(* -1 (/ (atan2 im re) (log 1/10)))
(/ -1 (atan2 im re))
(/ -1 (atan2 im re))
(/ -1 (atan2 im re))
(/ -1 (atan2 im re))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(* -1 (pow (atan2 im re) 2))
(* -1 (pow (atan2 im re) 2))
(* -1 (pow (atan2 im re) 2))
(* -1 (pow (atan2 im re) 2))
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(* (log 10) (atan2 im re))
(* (log 10) (atan2 im re))
(* (log 10) (atan2 im re))
(* (log 10) (atan2 im re))
(* -1 (/ (atan2 im re) (log 1/10)))
(* -1 (/ (atan2 im re) (log 1/10)))
(* -1 (/ (atan2 im re) (log 1/10)))
(* -1 (/ (atan2 im re) (log 1/10)))
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(* -1 (/ (atan2 im re) (log 1/10)))
(* -1 (/ (atan2 im re) (log 1/10)))
(* -1 (/ (atan2 im re) (log 1/10)))
(* -1 (/ (atan2 im re) (log 1/10)))
(/ (log 1/10) (atan2 im re))
(/ (log 1/10) (atan2 im re))
(/ (log 1/10) (atan2 im re))
(/ (log 1/10) (atan2 im re))
(/ (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))
(* -1 (/ (atan2 im re) (log 1/10)))
(* -1 (/ (atan2 im re) (log 1/10)))
(* -1 (/ (atan2 im re) (log 1/10)))
(* -1 (/ (atan2 im re) (log 1/10)))
(/ -1 (atan2 im re))
(/ -1 (atan2 im re))
(/ -1 (atan2 im re))
(/ -1 (atan2 im re))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(* -1 (pow (atan2 im re) 2))
(* -1 (pow (atan2 im re) 2))
(* -1 (pow (atan2 im re) 2))
(* -1 (pow (atan2 im re) 2))
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(* (log 10) (atan2 im re))
(* (log 10) (atan2 im re))
(* (log 10) (atan2 im re))
(* (log 10) (atan2 im re))
(* -1 (/ (atan2 im re) (log 1/10)))
(* -1 (/ (atan2 im re) (log 1/10)))
(* -1 (/ (atan2 im re) (log 1/10)))
(* -1 (/ (atan2 im re) (log 1/10)))
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(* -1 (/ (atan2 im re) (log 1/10)))
(* -1 (/ (atan2 im re) (log 1/10)))
(* -1 (/ (atan2 im re) (log 1/10)))
(* -1 (/ (atan2 im re) (log 1/10)))
(/ (log 1/10) (atan2 im re))
(/ (log 1/10) (atan2 im re))
(/ (log 1/10) (atan2 im re))
(/ (log 1/10) (atan2 im re))
(/ (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))
(* -1 (/ (atan2 im re) (log 1/10)))
(* -1 (/ (atan2 im re) (log 1/10)))
(* -1 (/ (atan2 im re) (log 1/10)))
(* -1 (/ (atan2 im re) (log 1/10)))
(/ -1 (atan2 im re))
(/ -1 (atan2 im re))
(/ -1 (atan2 im re))
(/ -1 (atan2 im re))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(* -1 (pow (atan2 im re) 2))
(* -1 (pow (atan2 im re) 2))
(* -1 (pow (atan2 im re) 2))
(* -1 (pow (atan2 im re) 2))
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(* (log 10) (atan2 im re))
(* (log 10) (atan2 im re))
(* (log 10) (atan2 im re))
(* (log 10) (atan2 im re))

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

rewrite156.0ms (5.4%)

Memory

9.7MiB live, 165.2MiB allocated

Rules

1 730×	`lower-*.f32`
1 726×	`lower-*.f64`
1 230×	`lower-/.f32`
1 216×	`lower-/.f64`
938×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	104
0	41	90
1	127	87
2	521	81
3	3031	81
0	8912	81

Stop Event

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

Counts

17 → 1 795

Calls

Call 1

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

Outputs
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eval666.0ms (22.9%)

Memory: -210.8MiB live, 571.3MiB allocated
Compiler: Compiled 51 030 to 3 154 computations (93.8% saved)

prune109.0ms (3.8%)

Memory

0.1MiB live, 168.3MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	2 604	1	2 605
Fresh	0	0	0
Picked	1	4	5
Done	0	1	1
Total	2 605	6	2 611

Accuracy

100.0%

Counts

2 611 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	82.5%	(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (*.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))))
✓	99.8%	(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
✓	99.8%	(/.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)))
✓	99.8%	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re)))

Compiler

Compiled 51 to 47 computations (7.8% saved)

simplify115.0ms (4%)

Memory

-17.3MiB live, 92.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
cost-diff	0	(atan2.f64 im re)
cost-diff	0	(pow.f64 (atan2.f64 im re) #s(literal 2 binary64))
cost-diff	13248	(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (*.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))))

Rules

4 342×	`lower-*.f32`
4 340×	`lower-*.f64`
2 714×	`lower-/.f32`
2 712×	`lower-/.f64`
1 756×	`associate-/r/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	32
0	14	32
1	18	32
2	27	28
3	37	26
4	39	26
5	110	26
6	343	26
7	1196	26
8	1339	26
9	1583	26
10	1959	26
11	2490	26
12	3167	26
13	5485	26
14	5842	26
15	6295	26
16	6775	26
17	7910	26
0	8002	26

Stop Event

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

Calls

Call 1

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

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

localize41.0ms (1.4%)

Memory

25.4MiB live, 107.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(log.f64 #s(literal 10 binary64))
accuracy	0.049160009768442016	(pow.f64 (atan2.f64 im re) #s(literal 2 binary64))
accuracy	0.8483200195368841	(*.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
accuracy	10.354263603422847	(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (*.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))))

Samples

34.0ms

256×

valid

Compiler

Compiled 34 to 11 computations (67.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-div: 8.0ms (43.7% of total)

ival-log: 3.0ms (16.4% of total)

ival-pow2: 3.0ms (16.4% of total)

ival-atan2: 2.0ms (10.9% of total)

ival-mult: 2.0ms (10.9% of total)

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

exact: 0.0ms (0% of total)

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

series49.0ms (1.7%)

Memory

-3.8MiB live, 118.5MiB allocated

Counts

5 → 96

Calls

Call 1

Inputs
#s(alt (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))) (patch (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))) #<representation binary64>) () ())
#s(alt (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (patch (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (atan2.f64 im re) (patch (atan2.f64 im re) #<representation binary64>) () ())
#s(alt (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (patch (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())
#s(alt (log.f64 #s(literal 10 binary64)) (patch (log.f64 #s(literal 10 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (/ (atan2 im re) (log 10)) (taylor 0 re) (#s(alt (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))) (patch (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log 10)) (taylor 0 re) (#s(alt (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))) (patch (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log 10)) (taylor 0 re) (#s(alt (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))) (patch (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log 10)) (taylor 0 re) (#s(alt (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))) (patch (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow (atan2 im re) 2) (taylor 0 re) (#s(alt (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (patch (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (atan2 im re) 2) (taylor 0 re) (#s(alt (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (patch (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (atan2 im re) 2) (taylor 0 re) (#s(alt (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (patch (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (atan2 im re) 2) (taylor 0 re) (#s(alt (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (patch (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (atan2 im re) (taylor 0 re) (#s(alt (atan2.f64 im re) (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt (atan2 im re) (taylor 0 re) (#s(alt (atan2.f64 im re) (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt (atan2 im re) (taylor 0 re) (#s(alt (atan2.f64 im re) (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt (atan2 im re) (taylor 0 re) (#s(alt (atan2.f64 im re) (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt (* (log 10) (atan2 im re)) (taylor 0 re) (#s(alt (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (patch (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (log 10) (atan2 im re)) (taylor 0 re) (#s(alt (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (patch (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (log 10) (atan2 im re)) (taylor 0 re) (#s(alt (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (patch (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (log 10) (atan2 im re)) (taylor 0 re) (#s(alt (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (patch (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log 10)) (taylor inf re) (#s(alt (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))) (patch (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log 10)) (taylor inf re) (#s(alt (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))) (patch (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log 10)) (taylor inf re) (#s(alt (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))) (patch (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log 10)) (taylor inf re) (#s(alt (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))) (patch (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow (atan2 im re) 2) (taylor inf re) (#s(alt (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (patch (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (atan2 im re) 2) (taylor inf re) (#s(alt (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (patch (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (atan2 im re) 2) (taylor inf re) (#s(alt (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (patch (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (atan2 im re) 2) (taylor inf re) (#s(alt (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (patch (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (atan2 im re) (taylor inf re) (#s(alt (atan2.f64 im re) (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt (atan2 im re) (taylor inf re) (#s(alt (atan2.f64 im re) (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt (atan2 im re) (taylor inf re) (#s(alt (atan2.f64 im re) (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt (atan2 im re) (taylor inf re) (#s(alt (atan2.f64 im re) (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt (* (log 10) (atan2 im re)) (taylor inf re) (#s(alt (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (patch (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (log 10) (atan2 im re)) (taylor inf re) (#s(alt (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (patch (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (log 10) (atan2 im re)) (taylor inf re) (#s(alt (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (patch (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (log 10) (atan2 im re)) (taylor inf re) (#s(alt (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (patch (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log 10)) (taylor -inf re) (#s(alt (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))) (patch (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log 10)) (taylor -inf re) (#s(alt (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))) (patch (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log 10)) (taylor -inf re) (#s(alt (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))) (patch (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log 10)) (taylor -inf re) (#s(alt (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))) (patch (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow (atan2 im re) 2) (taylor -inf re) (#s(alt (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (patch (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (atan2 im re) 2) (taylor -inf re) (#s(alt (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (patch (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (atan2 im re) 2) (taylor -inf re) (#s(alt (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (patch (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (atan2 im re) 2) (taylor -inf re) (#s(alt (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (patch (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (atan2 im re) (taylor -inf re) (#s(alt (atan2.f64 im re) (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt (atan2 im re) (taylor -inf re) (#s(alt (atan2.f64 im re) (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt (atan2 im re) (taylor -inf re) (#s(alt (atan2.f64 im re) (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt (atan2 im re) (taylor -inf re) (#s(alt (atan2.f64 im re) (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt (* (log 10) (atan2 im re)) (taylor -inf re) (#s(alt (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (patch (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (log 10) (atan2 im re)) (taylor -inf re) (#s(alt (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (patch (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (log 10) (atan2 im re)) (taylor -inf re) (#s(alt (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (patch (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (log 10) (atan2 im re)) (taylor -inf re) (#s(alt (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (patch (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log 10)) (taylor 0 im) (#s(alt (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))) (patch (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log 10)) (taylor 0 im) (#s(alt (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))) (patch (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log 10)) (taylor 0 im) (#s(alt (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))) (patch (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log 10)) (taylor 0 im) (#s(alt (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))) (patch (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow (atan2 im re) 2) (taylor 0 im) (#s(alt (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (patch (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (atan2 im re) 2) (taylor 0 im) (#s(alt (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (patch (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (atan2 im re) 2) (taylor 0 im) (#s(alt (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (patch (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (atan2 im re) 2) (taylor 0 im) (#s(alt (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (patch (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (atan2 im re) (taylor 0 im) (#s(alt (atan2.f64 im re) (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt (atan2 im re) (taylor 0 im) (#s(alt (atan2.f64 im re) (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt (atan2 im re) (taylor 0 im) (#s(alt (atan2.f64 im re) (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt (atan2 im re) (taylor 0 im) (#s(alt (atan2.f64 im re) (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt (* (log 10) (atan2 im re)) (taylor 0 im) (#s(alt (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (patch (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (log 10) (atan2 im re)) (taylor 0 im) (#s(alt (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (patch (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (log 10) (atan2 im re)) (taylor 0 im) (#s(alt (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (patch (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (log 10) (atan2 im re)) (taylor 0 im) (#s(alt (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (patch (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log 10)) (taylor inf im) (#s(alt (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))) (patch (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log 10)) (taylor inf im) (#s(alt (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))) (patch (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log 10)) (taylor inf im) (#s(alt (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))) (patch (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log 10)) (taylor inf im) (#s(alt (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))) (patch (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow (atan2 im re) 2) (taylor inf im) (#s(alt (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (patch (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (atan2 im re) 2) (taylor inf im) (#s(alt (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (patch (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (atan2 im re) 2) (taylor inf im) (#s(alt (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (patch (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (atan2 im re) 2) (taylor inf im) (#s(alt (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (patch (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (atan2 im re) (taylor inf im) (#s(alt (atan2.f64 im re) (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt (atan2 im re) (taylor inf im) (#s(alt (atan2.f64 im re) (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt (atan2 im re) (taylor inf im) (#s(alt (atan2.f64 im re) (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt (atan2 im re) (taylor inf im) (#s(alt (atan2.f64 im re) (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt (* (log 10) (atan2 im re)) (taylor inf im) (#s(alt (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (patch (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (log 10) (atan2 im re)) (taylor inf im) (#s(alt (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (patch (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (log 10) (atan2 im re)) (taylor inf im) (#s(alt (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (patch (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (log 10) (atan2 im re)) (taylor inf im) (#s(alt (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (patch (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log 10)) (taylor -inf im) (#s(alt (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))) (patch (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log 10)) (taylor -inf im) (#s(alt (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))) (patch (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log 10)) (taylor -inf im) (#s(alt (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))) (patch (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (atan2 im re) (log 10)) (taylor -inf im) (#s(alt (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))) (patch (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow (atan2 im re) 2) (taylor -inf im) (#s(alt (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (patch (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (atan2 im re) 2) (taylor -inf im) (#s(alt (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (patch (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (atan2 im re) 2) (taylor -inf im) (#s(alt (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (patch (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (atan2 im re) 2) (taylor -inf im) (#s(alt (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (patch (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (atan2 im re) (taylor -inf im) (#s(alt (atan2.f64 im re) (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt (atan2 im re) (taylor -inf im) (#s(alt (atan2.f64 im re) (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt (atan2 im re) (taylor -inf im) (#s(alt (atan2.f64 im re) (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt (atan2 im re) (taylor -inf im) (#s(alt (atan2.f64 im re) (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt (* (log 10) (atan2 im re)) (taylor -inf im) (#s(alt (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (patch (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (log 10) (atan2 im re)) (taylor -inf im) (#s(alt (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (patch (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (log 10) (atan2 im re)) (taylor -inf im) (#s(alt (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (patch (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (log 10) (atan2 im re)) (taylor -inf im) (#s(alt (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (patch (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	im	@	inf	((/ (pow (atan2 im re) 2) (* (atan2 im re) (log 10))) (pow (atan2 im re) 2) (atan2 im re) (* (atan2 im re) (log 10)) (log 10))
8.0ms	re	@	inf	((/ (pow (atan2 im re) 2) (* (atan2 im re) (log 10))) (pow (atan2 im re) 2) (atan2 im re) (* (atan2 im re) (log 10)) (log 10))
8.0ms	re	@	0	((/ (pow (atan2 im re) 2) (* (atan2 im re) (log 10))) (pow (atan2 im re) 2) (atan2 im re) (* (atan2 im re) (log 10)) (log 10))
6.0ms	re	@	-inf	((/ (pow (atan2 im re) 2) (* (atan2 im re) (log 10))) (pow (atan2 im re) 2) (atan2 im re) (* (atan2 im re) (log 10)) (log 10))
6.0ms	im	@	-inf	((/ (pow (atan2 im re) 2) (* (atan2 im re) (log 10))) (pow (atan2 im re) 2) (atan2 im re) (* (atan2 im re) (log 10)) (log 10))

simplify7.0ms (0.2%)

Memory

-27.2MiB live, 10.9MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`lower-*.f64`
6×	`lower-*.f32`
2×	`*-commutative`
2×	`lower-pow.f64`
2×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	480
1	11	480
0	11	480

Stop Event

1×	iter limit
1×	saturated

Counts

96 → 96

Calls

Call 1

Inputs
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(atan2 im re)
(atan2 im re)
(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))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(atan2 im re)
(atan2 im re)
(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))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(atan2 im re)
(atan2 im re)
(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))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(atan2 im re)
(atan2 im re)
(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))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(atan2 im re)
(atan2 im re)
(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))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(pow (atan2 im re) 2)
(atan2 im re)
(atan2 im re)
(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))

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

rewrite117.0ms (4%)

Memory

42.6MiB live, 154.0MiB allocated

Rules

2 952×	`lower-*.f32`
2 950×	`lower-*.f64`
1 742×	`lower-/.f32`
1 740×	`lower-/.f64`
590×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	28
0	14	28
1	32	28
2	121	22
3	685	22
0	4881	22

Stop Event

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

Counts

5 → 531

Calls

Call 1

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

Outputs
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eval96.0ms (3.3%)

Memory: -5.0MiB live, 183.8MiB allocated
Compiler: Compiled 13 355 to 1 560 computations (88.3% saved)

prune19.0ms (0.7%)

Memory

-11.1MiB live, 64.5MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	740	0	740
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	740	6	746

Accuracy

100.0%

Counts

746 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	82.5%	(/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (*.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))))
✓	99.8%	(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
✓	99.8%	(/.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)))
✓	99.8%	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re)))

Compiler

Compiled 117 to 73 computations (37.6% saved)

regimes17.0ms (0.6%)

Memory

-10.8MiB live, 37.9MiB allocated

Counts

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

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

Calls

4 calls:

9.0ms	re
3.0ms	im
2.0ms	(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
2.0ms	(atan2.f64 im re)

Results

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

Compiler

Compiled 11 to 13 computations (-18.2% saved)

regimes5.0ms (0.2%)

Memory

23.5MiB live, 23.5MiB 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	im
1.0ms	re
1.0ms	(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
1.0ms	(atan2.f64 im re)

Results

Accuracy	Segments	Branch
98.7%	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 11 to 13 computations (-18.2% saved)

simplify23.0ms (0.8%)

Memory

3.9MiB live, 82.5MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`-commutative-binary64-.f64`
6×	`neg-sub0-binary64--.f64-neg.f64`
6×	`+-commutative-binary64-+.f64`
6×	`neg-mul-1-binary64-*.f64-neg.f64`
6×	`sub-neg-binary64-neg.f64-+.f64--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	16	13
2	22	13
3	27	13
4	30	13
5	31	13

Stop Event

1×

saturated

Calls

Call 1

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

soundness47.0ms (1.6%)

Memory

-10.2MiB live, 29.2MiB 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 26 to 20 computations (23.1% saved)

preprocess37.0ms (1.3%)

Memory: 2.9MiB live, 43.1MiB allocated
Compiler: Compiled 38 to 32 computations (15.8% 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	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

start0.0ms (0%)

analyze2.0ms (0.1%)

sample728.0ms (25.1%)

explain68.0ms (2.4%)

preprocess16.0ms (0.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify5.0ms (0.2%)

localize23.0ms (0.8%)

series76.0ms (2.6%)

simplify3.0ms (0.1%)

rewrite71.0ms (2.4%)

eval16.0ms (0.6%)

prune15.0ms (0.5%)

simplify124.0ms (4.3%)

localize116.0ms (4%)

series115.0ms (4%)

simplify19.0ms (0.7%)

rewrite156.0ms (5.4%)

eval666.0ms (22.9%)

prune109.0ms (3.8%)

simplify115.0ms (4%)

localize41.0ms (1.4%)

series49.0ms (1.7%)

simplify7.0ms (0.2%)

rewrite117.0ms (4%)

eval96.0ms (3.3%)

prune19.0ms (0.7%)

regimes17.0ms (0.6%)

regimes5.0ms (0.2%)

simplify23.0ms (0.8%)

soundness47.0ms (1.6%)

preprocess37.0ms (1.3%)

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