Metrics for math.log10 on complex, imaginary part

analyze2.0ms (0.1%)

Memory

3.2MiB live, 3.2MiB 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)

sample731.0ms (24.3%)

Memory

36.5MiB live, 1 099.4MiB allocated

Samples

525.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 274.0ms

ival-log: 98.0ms (35.8% of total)

ival-div: 92.0ms (33.6% of total)

ival-atan2: 69.0ms (25.2% 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

preprocess17.0ms (0.6%)

Memory

-10.7MiB live, 31.2MiB 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	6	6

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

explain63.0ms (2.1%)

Memory

-12.7MiB live, 184.6MiB 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

31.0ms

512×

valid

Compiler

Compiled 48 to 28 computations (41.7% saved)

Precisions

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

ival-log: 8.0ms (44.5% of total)

ival-atan2: 6.0ms (33.3% of total)

ival-div: 3.0ms (16.7% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 8 to 6 computations (25% saved)

simplify3.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	14
0	6	14

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize22.0ms (0.7%)

Memory

14.8MiB live, 52.0MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

15.0ms

256×

valid

Compiler

Compiled 16 to 8 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-log: 5.0ms (55.2% of total)

ival-atan2: 2.0ms (22.1% of total)

ival-div: 2.0ms (22.1% of total)

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

exact: 0.0ms (0% of total)

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

series49.0ms (1.6%)

Memory

-55.0MiB live, 88.1MiB allocated

Counts

3 → 48

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
39.0ms	im	@	0	(/ (atan2 im re) (log 10))
8.0ms	re	@	0	(/ (atan2 im re) (log 10))
0.0ms	re	@	inf	(/ (atan2 im re) (log 10))
0.0ms	im	@	inf	(/ (atan2 im re) (log 10))
0.0ms	re	@	-inf	(/ (atan2 im re) (log 10))

rewrite79.0ms (2.6%)

Memory

16.1MiB live, 128.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

520×	`-lowering-.f32`
520×	`-lowering-.f64`
470×	`/-lowering-/.f32`
470×	`/-lowering-/.f64`
134×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	14	11
2	52	11
3	211	11
0	1201	11

Stop Event

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

Counts

3 → 118

Calls

Call 1

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

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

simplify9.0ms (0.3%)

Memory

-6.4MiB live, 27.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	216
0	6	216

Stop Event

1×	iter limit
1×	saturated

Counts

48 → 48

Calls

Call 1

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

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

eval20.0ms (0.7%)

Memory: 33.0MiB live, 66.4MiB allocated
Compiler: Compiled 1 710 to 280 computations (83.6% saved)

prune26.0ms (0.9%)

Memory

-7.7MiB live, 73.7MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	159	7	166
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	159	8	167

Accuracy

100.0%

Counts

167 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.9%	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
▶	99.7%	(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
✓	98.7%	(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
▶	97.4%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
▶	99.2%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
	87.8%	(/.f64 (neg.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (*.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re)))
▶	98.2%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re)))
▶	99.3%	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re)))

Compiler

Compiled 168 to 130 computations (22.6% saved)

simplify18.0ms (0.6%)

Memory

3.4MiB live, 43.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
✓	cost-diff	0	(log.f64 #s(literal 10 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))
✓	cost-diff	1408	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
✓	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	(/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64)))
✓	cost-diff	1280	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 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

120×	`-lowering-.f32`
120×	`-lowering-.f64`
112×	`accelerator-lowering-fma.f32`
112×	`accelerator-lowering-fma.f64`
96×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	115
1	38	115
2	67	111
3	103	111
4	186	111
5	272	111
6	327	111
7	356	111
8	381	111
9	410	111
10	424	111
11	428	111
0	428	111

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (atan2 im re) (neg (log 1/10)))
(atan2 im re)
im
re
(neg (log 1/10))
(log 1/10)
1/10
(/ -1 (/ (log 1/10) (atan2 im re)))
-1
(/ (log 1/10) (atan2 im re))
(log 1/10)
1/10
(atan2 im re)
im
re
(/ 1 (/ (log 10) (atan2 im re)))
1
(/ (log 10) (atan2 im re))
(log 10)
10
(atan2 im re)
im
re
(/ (/ 1 (log 1/10)) (/ -1 (atan2 im re)))
(/ 1 (log 1/10))
1
(log 1/10)
1/10
(/ -1 (atan2 im re))
-1
(atan2 im re)
im
re
(/ (/ 1 (log 10)) (/ 1 (atan2 im re)))
(/ 1 (log 10))
1
(log 10)
10
(/ 1 (atan2 im re))
(atan2 im re)
im
re

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

localize122.0ms (4.1%)

Memory

14.2MiB live, 253.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(log.f64 #s(literal 10 binary64))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
✓	accuracy	98.4%	(/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))
✓	accuracy	98.3%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
✓	accuracy	99.9%	(/.f64 #s(literal -1 binary64) (atan2.f64 im re))
✓	accuracy	98.4%	(/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64)))
✓	accuracy	98.4%	(log.f64 #s(literal 1/10 binary64))
✓	accuracy	98.3%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
✓	accuracy	100.0%	(atan2.f64 im re)
✓	accuracy	100.0%	(log.f64 #s(literal 10 binary64))
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re)))
✓	accuracy	98.7%	(/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re))
✓	accuracy	100.0%	(atan2.f64 im re)
✓	accuracy	99.4%	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re)))
✓	accuracy	98.7%	(/.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re))
✓	accuracy	98.4%	(log.f64 #s(literal 1/10 binary64))
✓	accuracy	100.0%	(atan2.f64 im re)
✓	accuracy	100.0%	(neg.f64 (log.f64 #s(literal 1/10 binary64)))
✓	accuracy	98.7%	(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
✓	accuracy	98.4%	(log.f64 #s(literal 1/10 binary64))

Samples

87.0ms

256×

valid

Compiler

Compiled 123 to 23 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-div: 16.0ms (54.3% of total)

ival-log: 6.0ms (20.4% of total)

const: 4.0ms (13.6% of total)

ival-atan2: 2.0ms (6.8% of total)

ival-neg: 1.0ms (3.4% of total)

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

exact: 0.0ms (0% of total)

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

series82.0ms (2.7%)

Memory

-22.2MiB live, 82.3MiB allocated

Counts

15 → 240

Calls

Call 1

Inputs
#<alt (/ (atan2 im re) (neg (log 1/10)))>
#<alt (atan2 im re)>
#<alt (neg (log 1/10))>
#<alt (log 1/10)>
#<alt (/ -1 (/ (log 1/10) (atan2 im re)))>
#<alt (/ (log 1/10) (atan2 im re))>
#<alt (/ 1 (/ (log 10) (atan2 im re)))>
#<alt (/ (log 10) (atan2 im re))>
#<alt (log 10)>
#<alt (/ (/ 1 (log 1/10)) (/ -1 (atan2 im re)))>
#<alt (/ 1 (log 1/10))>
#<alt (/ -1 (atan2 im re))>
#<alt (/ (/ 1 (log 10)) (/ 1 (atan2 im re)))>
#<alt (/ 1 (log 10))>
#<alt (/ 1 (atan2 im re))>

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

Calls

60 calls:

Time	Variable		Point	Expression
61.0ms	im	@	0	(/ (atan2 im re) (neg (log 1/10)))
6.0ms	re	@	0	(/ (atan2 im re) (neg (log 1/10)))
1.0ms	re	@	inf	(/ (atan2 im re) (neg (log 1/10)))
1.0ms	im	@	-inf	(/ (atan2 im re) (neg (log 1/10)))
1.0ms	im	@	inf	(/ (atan2 im re) (neg (log 1/10)))

rewrite175.0ms (5.8%)

Memory

-15.0MiB live, 139.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

446×	`-lowering-.f32`
446×	`-lowering-.f64`
298×	`/-lowering-/.f32`
298×	`/-lowering-/.f64`
280×	`frac-times`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	69
1	97	69
2	382	69
0	1580	69

Stop Event

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

Counts

15 → 701

Calls

Call 1

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

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

simplify33.0ms (1.1%)

Memory

4.1MiB live, 79.0MiB allocated

Algorithm

1×	egg-herbie

Rules

36×	`+-lowering-+.f64`
36×	`+-lowering-+.f32`
28×	`sub-neg`
24×	`/-lowering-/.f32`
24×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	1392
1	22	1392
2	28	1392
3	34	1392
4	44	1392
5	50	1392
6	58	1392
7	72	1392
8	87	1392
9	100	1392
10	103	1392
0	103	1392

Stop Event

1×	iter limit
1×	saturated

Counts

240 → 240

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

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

eval167.0ms (5.5%)

Memory: 19.6MiB live, 283.7MiB allocated
Compiler: Compiled 15 102 to 1 218 computations (91.9% saved)

prune108.0ms (3.6%)

Memory

-6.7MiB live, 198.1MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	1 229	0	1 229
Fresh	0	2	2
Picked	0	5	5
Done	0	1	1
Total	1 229	8	1 237

Accuracy

100.0%

Counts

1 237 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.9%	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
✓	99.7%	(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
✓	98.7%	(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
✓	97.4%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
✓	99.2%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
▶	87.8%	(/.f64 (neg.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (*.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re)))
✓	98.2%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re)))
✓	99.3%	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re)))

Compiler

Compiled 88 to 68 computations (22.7% saved)

simplify177.0ms (5.9%)

Memory

5.8MiB live, 275.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(atan2.f64 im re)
✓	cost-diff	0	(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
✓	cost-diff	5824	(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64))
✓	cost-diff	7104	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
✓	cost-diff	0	(atan2.f64 im re)
✓	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	13248	(/.f64 (neg.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (*.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re)))

Rules

4 272×	`-lowering-.f32`
4 272×	`-lowering-.f64`
3 522×	`neg-lowering-neg.f64`
3 522×	`neg-lowering-neg.f32`
1 520×	`distribute-lft-neg-out`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	74
1	28	68
2	65	63
3	152	62
4	240	62
5	756	62
6	2642	62
7	3753	62
0	8664	62

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize95.0ms (3.1%)

Memory

10.4MiB live, 90.8MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(log.f64 #s(literal 10 binary64))
✓	accuracy	99.8%	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
✓	accuracy	99.4%	(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
✓	accuracy	97.8%	(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #s(literal 1/2 binary64))
✓	accuracy	99.9%	(pow.f64 (atan2.f64 im re) #s(literal 2 binary64))
✓	accuracy	99.4%	(*.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re))
✓	accuracy	99.3%	(log.f64 #s(literal 1/10 binary64))
✓	accuracy	95.3%	(/.f64 (neg.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (*.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re)))

Samples

58.0ms	135×	0	invalid
17.0ms	121×	0	valid

Compiler

Compiled 75 to 18 computations (76% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-atan2: 42.0ms (65.7% of total)

ival-log: 6.0ms (9.4% of total)

ival-pow2: 5.0ms (7.8% of total)

const: 4.0ms (6.3% of total)

ival-div: 3.0ms (4.7% of total)

ival-mult: 2.0ms (3.1% of total)

ival-sqrt: 1.0ms (1.6% of total)

ival-neg: 1.0ms (1.6% of total)

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

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

exact: 0.0ms (0% of total)

series27.0ms (0.9%)

Memory

-21.4MiB live, 16.1MiB allocated

Counts

10 → 192

Calls

Call 1

Inputs
#<alt (/ (neg (pow (atan2 im re) 2)) (* (log 1/10) (atan2 im re)))>
#<alt (neg (pow (atan2 im re) 2))>
#<alt (pow (atan2 im re) 2)>
#<alt (atan2 im re)>
#<alt (pow (pow (/ (atan2 im re) (log 10)) 1/2) 2)>
#<alt (pow (/ (atan2 im re) (log 10)) 1/2)>
#<alt (/ (atan2 im re) (log 10))>
#<alt (log 1/10)>
#<alt (* (log 1/10) (atan2 im re))>
#<alt (log 10)>

Outputs
#<alt (* -1 (/ (atan2 im re) (log 1/10)))>
#<alt (* -1 (/ (atan2 im re) (log 1/10)))>
#<alt (* -1 (/ (atan2 im re) (log 1/10)))>
#<alt (* -1 (/ (atan2 im re) (log 1/10)))>
#<alt (* -1 (/ (atan2 im re) (log 1/10)))>
#<alt (* -1 (/ (atan2 im re) (log 1/10)))>
#<alt (* -1 (/ (atan2 im re) (log 1/10)))>
#<alt (* -1 (/ (atan2 im re) (log 1/10)))>
#<alt (* -1 (/ (atan2 im re) (log 1/10)))>
#<alt (* -1 (/ (atan2 im re) (log 1/10)))>
#<alt (* -1 (/ (atan2 im re) (log 1/10)))>
#<alt (* -1 (/ (atan2 im re) (log 1/10)))>
#<alt (* -1 (/ (atan2 im re) (log 1/10)))>
#<alt (* -1 (/ (atan2 im re) (log 1/10)))>
#<alt (* -1 (/ (atan2 im re) (log 1/10)))>
#<alt (* -1 (/ (atan2 im re) (log 1/10)))>
#<alt (* -1 (/ (atan2 im re) (log 1/10)))>
#<alt (* -1 (/ (atan2 im re) (log 1/10)))>
#<alt (* -1 (/ (atan2 im re) (log 1/10)))>
#<alt (* -1 (/ (atan2 im re) (log 1/10)))>
#<alt (* -1 (/ (atan2 im re) (log 1/10)))>
#<alt (* -1 (/ (atan2 im re) (log 1/10)))>
#<alt (* -1 (/ (atan2 im re) (log 1/10)))>
#<alt (* -1 (/ (atan2 im re) (log 1/10)))>
#<alt (* -1 (pow (atan2 im re) 2))>
#<alt (* -1 (pow (atan2 im re) 2))>
#<alt (* -1 (pow (atan2 im re) 2))>
#<alt (* -1 (pow (atan2 im re) 2))>
#<alt (* -1 (pow (atan2 im re) 2))>
#<alt (* -1 (pow (atan2 im re) 2))>
#<alt (* -1 (pow (atan2 im re) 2))>
#<alt (* -1 (pow (atan2 im re) 2))>
#<alt (* -1 (pow (atan2 im re) 2))>
#<alt (* -1 (pow (atan2 im re) 2))>
#<alt (* -1 (pow (atan2 im re) 2))>
#<alt (* -1 (pow (atan2 im re) 2))>
#<alt (* -1 (pow (atan2 im re) 2))>
#<alt (* -1 (pow (atan2 im re) 2))>
#<alt (* -1 (pow (atan2 im re) 2))>
#<alt (* -1 (pow (atan2 im re) 2))>
#<alt (* -1 (pow (atan2 im re) 2))>
#<alt (* -1 (pow (atan2 im re) 2))>
#<alt (* -1 (pow (atan2 im re) 2))>
#<alt (* -1 (pow (atan2 im re) 2))>
#<alt (* -1 (pow (atan2 im re) 2))>
#<alt (* -1 (pow (atan2 im re) 2))>
#<alt (* -1 (pow (atan2 im re) 2))>
#<alt (* -1 (pow (atan2 im re) 2))>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (pow (atan2 im re) 2)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (sqrt (/ (atan2 im re) (log 10)))>
#<alt (sqrt (/ (atan2 im re) (log 10)))>
#<alt (sqrt (/ (atan2 im re) (log 10)))>
#<alt (sqrt (/ (atan2 im re) (log 10)))>
#<alt (sqrt (/ (atan2 im re) (log 10)))>
#<alt (sqrt (/ (atan2 im re) (log 10)))>
#<alt (sqrt (/ (atan2 im re) (log 10)))>
#<alt (sqrt (/ (atan2 im re) (log 10)))>
#<alt (sqrt (/ (atan2 im re) (log 10)))>
#<alt (sqrt (/ (atan2 im re) (log 10)))>
#<alt (sqrt (/ (atan2 im re) (log 10)))>
#<alt (sqrt (/ (atan2 im re) (log 10)))>
#<alt (sqrt (/ (atan2 im re) (log 10)))>
#<alt (sqrt (/ (atan2 im re) (log 10)))>
#<alt (sqrt (/ (atan2 im re) (log 10)))>
#<alt (sqrt (/ (atan2 im re) (log 10)))>
#<alt (sqrt (/ (atan2 im re) (log 10)))>
#<alt (sqrt (/ (atan2 im re) (log 10)))>
#<alt (sqrt (/ (atan2 im re) (log 10)))>
#<alt (sqrt (/ (atan2 im re) (log 10)))>
#<alt (sqrt (/ (atan2 im re) (log 10)))>
#<alt (sqrt (/ (atan2 im re) (log 10)))>
#<alt (sqrt (/ (atan2 im re) (log 10)))>
#<alt (sqrt (/ (atan2 im re) (log 10)))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (* (log 1/10) (atan2 im re))>
#<alt (* (log 1/10) (atan2 im re))>
#<alt (* (log 1/10) (atan2 im re))>
#<alt (* (log 1/10) (atan2 im re))>
#<alt (* (log 1/10) (atan2 im re))>
#<alt (* (log 1/10) (atan2 im re))>
#<alt (* (log 1/10) (atan2 im re))>
#<alt (* (log 1/10) (atan2 im re))>
#<alt (* (log 1/10) (atan2 im re))>
#<alt (* (log 1/10) (atan2 im re))>
#<alt (* (log 1/10) (atan2 im re))>
#<alt (* (log 1/10) (atan2 im re))>
#<alt (* (log 1/10) (atan2 im re))>
#<alt (* (log 1/10) (atan2 im re))>
#<alt (* (log 1/10) (atan2 im re))>
#<alt (* (log 1/10) (atan2 im re))>
#<alt (* (log 1/10) (atan2 im re))>
#<alt (* (log 1/10) (atan2 im re))>
#<alt (* (log 1/10) (atan2 im re))>
#<alt (* (log 1/10) (atan2 im re))>
#<alt (* (log 1/10) (atan2 im re))>
#<alt (* (log 1/10) (atan2 im re))>
#<alt (* (log 1/10) (atan2 im re))>
#<alt (* (log 1/10) (atan2 im re))>

Calls

48 calls:

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

rewrite135.0ms (4.5%)

Memory

-6.9MiB live, 200.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

1 152×	`-lowering-.f32`
1 152×	`-lowering-.f64`
736×	`/-lowering-/.f32`
736×	`/-lowering-/.f64`
248×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	70
1	63	70
2	293	49
0	2097	49

Stop Event

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

Counts

10 → 589

Calls

Call 1

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

Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64)))) #s(literal 0 binary64)) (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(fabs.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))))
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #s(literal 2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64)))) #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))))
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(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))) (neg.f64 (pow.f64 (atan2.f64 im re) #s(literal 6 binary64)))) (.f64 (atan2.f64 im re) (pow.f64 (atan2.f64 im re) #s(literal 4 binary64))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))) (neg.f64 (pow.f64 (atan2.f64 im re) #s(literal 4 binary64)))) (.f64 (atan2.f64 im re) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))))
(/.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))))
(/.f64 (/.f64 (neg.f64 (atan2.f64 im re)) #s(literal -1 binary64)) (log.f64 #s(literal 10 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64)))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (log.f64 #s(literal 10 binary64))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))) (sqrt.f64 (neg.f64 (atan2.f64 im re)))) (sqrt.f64 (log.f64 #s(literal 1/10 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (atan2.f64 im re))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64)))) (neg.f64 (pow.f64 (atan2.f64 im re) #s(literal 6 binary64)))) (pow.f64 (atan2.f64 im re) #s(literal 4 binary64)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64)))) (neg.f64 (pow.f64 (atan2.f64 im re) #s(literal 4 binary64)))) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 #s(literal 10 binary64))) #s(literal 1 binary64)) (atan2.f64 im re))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (*.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))))) (sqrt.f64 (log.f64 #s(literal 10 binary64))))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 (atan2.f64 im re))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))))) (sqrt.f64 (log.f64 #s(literal 1/10 binary64))))
(/.f64 (.f64 (neg.f64 (pow.f64 (atan2.f64 im re) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))))) (pow.f64 (atan2.f64 im re) #s(literal 4 binary64)))
(/.f64 (.f64 (neg.f64 (pow.f64 (atan2.f64 im re) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))))) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (neg.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (/.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 #s(literal 10 binary64))) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re)))
(/.f64 (/.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 #s(literal 1/10 binary64))) #s(literal -1 binary64)) (atan2.f64 im re))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re)) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))))) #s(literal 4 binary64))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))))))
(*.f64 (atan2.f64 im re) (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))))
(*.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64)))) #s(literal 2 binary64)))
(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 #s(literal 10 binary64))))))
(.f64 (atan2.f64 im re) (/.f64 (neg.f64 (atan2.f64 im re)) (.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64)))))
(.f64 (atan2.f64 im re) (.f64 (atan2.f64 im re) (/.f64 #s(literal 1 binary64) (*.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))))))
(.f64 (atan2.f64 im re) (.f64 (neg.f64 (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (*.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))))))
(.f64 (atan2.f64 im re) (/.f64 (atan2.f64 im re) (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))))
(.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))))
(.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))))))
(.f64 (neg.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64)))))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) (atan2.f64 im re))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64)))) (neg.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64)))) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))))) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #s(literal 3/4 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))))) (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #s(literal 3/4 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 #s(literal 10 binary64))))
(.f64 (sqrt.f64 (atan2.f64 im re)) (.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64)))))
(.f64 (sqrt.f64 (atan2.f64 im re)) (.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64)))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))))))
(.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/4 binary64)) (.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #s(literal 3/4 binary64))))
(*.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))) #s(literal -1 binary64))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))) (/.f64 (atan2.f64 im re) (neg.f64 (atan2.f64 im re))))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))) (/.f64 (neg.f64 (atan2.f64 im re)) (atan2.f64 im re)))
(*.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 #s(literal 1/10 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 #s(literal 10 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))) (neg.f64 (atan2.f64 im re)))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))
(.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #s(literal 1/8 binary64)) (.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #s(literal 1/8 binary64)) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #s(literal 3/4 binary64))))
(*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #s(literal 3/4 binary64)) (sqrt.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))))))
(*.f64 (pow.f64 (neg.f64 (atan2.f64 im re)) #s(literal -1 binary64)) (pow.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 (atan2.f64 im re)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #s(literal 3/4 binary64)) #s(literal 1 binary64)) (sqrt.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))))))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 (atan2.f64 im re))) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))))
(*.f64 (/.f64 (atan2.f64 im re) (neg.f64 (atan2.f64 im re))) (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))))
(*.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (atan2.f64 im re)) (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (atan2.f64 im re))) (/.f64 (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 #s(literal 1/10 binary64))) (sqrt.f64 (atan2.f64 im re))))
(*.f64 (/.f64 (neg.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (sqrt.f64 (atan2.f64 im re))) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))) (sqrt.f64 (atan2.f64 im re))))
(.f64 (.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64)))))
(.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))))) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #s(literal 3/4 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #s(literal 3/4 binary64))) (sqrt.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))))))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re)))
(.f64 (.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #s(literal 3/4 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 1/4 binary64))) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/4 binary64)))
(.f64 (.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #s(literal 3/4 binary64)) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #s(literal 1/8 binary64))) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #s(literal 1/8 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (atan2.f64 im re))) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) (log.f64 #s(literal 1/10 binary64))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64)))) (atan2.f64 im re)) (neg.f64 (atan2.f64 im re)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64)))) (neg.f64 (atan2.f64 im re))) (atan2.f64 im re))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64)))) #s(literal -1 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))
(log.f64 #s(literal 1/10 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64)))
(-.f64 #s(literal 0 binary64) (log.f64 #s(literal 10 binary64)))
(neg.f64 (log.f64 #s(literal 10 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 10 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 #s(literal 10 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 10 binary64)))) (+.f64 #s(literal 0 binary64) (log.f64 #s(literal 10 binary64))))
(*.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (log.f64 #s(literal 10 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))))
(neg.f64 (*.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))))
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64)))))
(/.f64 (*.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #s(literal -1 binary64))
(*.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64)))
(*.f64 (atan2.f64 im re) (/.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 1 binary64)))
(*.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re))
(*.f64 (log.f64 #s(literal 1/10 binary64)) (/.f64 (atan2.f64 im re) #s(literal 1 binary64)))
(.f64 (.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))) #s(literal 1 binary64))
(*.f64 (log.f64 #s(literal 10 binary64)) (neg.f64 (atan2.f64 im re)))
(.f64 #s(literal 1 binary64) (.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))))
(*.f64 (neg.f64 (atan2.f64 im re)) (log.f64 #s(literal 10 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))))
(.f64 (sqrt.f64 (atan2.f64 im re)) (.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 #s(literal 1/10 binary64))))
(.f64 (.f64 (log.f64 #s(literal 1/10 binary64)) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re)))
(log.f64 #s(literal 10 binary64))
(-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)))
(neg.f64 (log.f64 #s(literal 1/10 binary64)))
(neg.f64 (/.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)))
(/.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64))
(/.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))))
(*.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64))
(*.f64 (log.f64 #s(literal 10 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))
(*.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64)))

simplify27.0ms (0.9%)

Memory

35.5MiB live, 74.3MiB allocated

Algorithm

1×	egg-herbie

Rules

44×	`+-lowering-+.f64`
44×	`+-lowering-+.f32`
32×	`sub-neg`
30×	`-lowering-.f32`
30×	`-lowering-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	1104
1	24	1104
2	35	1104
3	42	1104
4	53	1104
5	65	1104
6	78	1104
7	94	1104
8	116	1104
9	126	1104
10	128	1104
0	128	1104

Stop Event

1×	iter limit
1×	saturated

Counts

192 → 192

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

eval94.0ms (3.1%)

Memory: 6.7MiB live, 235.5MiB allocated
Compiler: Compiled 13 347 to 1 225 computations (90.8% saved)

prune123.0ms (4.1%)

Memory

1.9MiB live, 157.4MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	871	2	873
Fresh	0	0	0
Picked	2	0	2
Done	0	6	6
Total	873	8	881

Accuracy

100.0%

Counts

881 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.9%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))) #s(literal 2 binary64))
✓	99.7%	(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
✓	98.7%	(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
✓	97.4%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
✓	99.2%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
✓	98.2%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re)))
✓	99.3%	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re)))
▶	98.8%	(*.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64)))) #s(literal 2 binary64)))

Compiler

Compiled 85 to 68 computations (20% saved)

simplify36.0ms (1.2%)

Memory

-26.2MiB live, 12.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(atan2.f64 im re)
✓	cost-diff	0	(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
✓	cost-diff	0	(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))))
✓	cost-diff	7104	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))) #s(literal 2 binary64))
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))))
✓	cost-diff	0	(atan2.f64 im re)
✓	cost-diff	192	(*.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64)))) #s(literal 2 binary64)))
✓	cost-diff	7104	(pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64)))) #s(literal 2 binary64))

Rules

36×	`+-lowering-+.f64`
36×	`+-lowering-+.f32`
28×	`-lowering-.f32`
28×	`-lowering-.f64`
26×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	74
1	19	59
2	24	59
3	32	58
4	35	58
5	39	58
6	45	58
7	51	58
8	58	58
9	68	58
10	90	58
11	107	58
12	111	58
0	111	58

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize333.0ms (11.1%)

Memory

-205.7MiB live, 122.3MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(log.f64 #s(literal 10 binary64))
✓	accuracy	99.8%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))) #s(literal 2 binary64))
✓	accuracy	99.4%	(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
✓	accuracy	97.8%	(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))))
✓	accuracy	100.0%	(sqrt.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))))
✓	accuracy	99.5%	(*.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64)))) #s(literal 2 binary64)))
✓	accuracy	99.3%	(/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64)))
✓	accuracy	99.3%	(log.f64 #s(literal 1/10 binary64))

Samples

36.0ms	121×	0	valid
20.0ms	135×	0	invalid

Compiler

Compiled 70 to 18 computations (74.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-log: 6.0ms (23.6% of total)

const: 4.0ms (15.8% of total)

ival-pow2: 4.0ms (15.8% of total)

ival-div: 3.0ms (11.8% of total)

ival-sqrt: 3.0ms (11.8% of total)

ival-mult: 2.0ms (7.9% of total)

ival-atan2: 2.0ms (7.9% of total)

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

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

exact: 0.0ms (0% of total)

series7.0ms (0.2%)

Memory

17.5MiB live, 17.5MiB allocated

Counts

10 → 120

Calls

Call 1

Inputs
#<alt (pow (sqrt (/ -1 (log 1/10))) 2)>
#<alt (* (atan2 im re) (pow (sqrt (/ -1 (log 1/10))) 2))>
#<alt (atan2 im re)>
#<alt (sqrt (/ -1 (log 1/10)))>
#<alt (pow (sqrt (/ (atan2 im re) (log 10))) 2)>
#<alt (sqrt (/ (atan2 im re) (log 10)))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (log 1/10)>
#<alt (/ -1 (log 1/10))>
#<alt (log 10)>

Outputs
#<alt (/ (* (pow (sqrt -1) 2) (atan2 im re)) (log 1/10))>
#<alt (/ (* (pow (sqrt -1) 2) (atan2 im re)) (log 1/10))>
#<alt (/ (* (pow (sqrt -1) 2) (atan2 im re)) (log 1/10))>
#<alt (/ (* (pow (sqrt -1) 2) (atan2 im re)) (log 1/10))>
#<alt (/ (* (pow (sqrt -1) 2) (atan2 im re)) (log 1/10))>
#<alt (/ (* (pow (sqrt -1) 2) (atan2 im re)) (log 1/10))>
#<alt (/ (* (pow (sqrt -1) 2) (atan2 im re)) (log 1/10))>
#<alt (/ (* (pow (sqrt -1) 2) (atan2 im re)) (log 1/10))>
#<alt (/ (* (pow (sqrt -1) 2) (atan2 im re)) (log 1/10))>
#<alt (/ (* (pow (sqrt -1) 2) (atan2 im re)) (log 1/10))>
#<alt (/ (* (pow (sqrt -1) 2) (atan2 im re)) (log 1/10))>
#<alt (/ (* (pow (sqrt -1) 2) (atan2 im re)) (log 1/10))>
#<alt (/ (* (pow (sqrt -1) 2) (atan2 im re)) (log 1/10))>
#<alt (/ (* (pow (sqrt -1) 2) (atan2 im re)) (log 1/10))>
#<alt (/ (* (pow (sqrt -1) 2) (atan2 im re)) (log 1/10))>
#<alt (/ (* (pow (sqrt -1) 2) (atan2 im re)) (log 1/10))>
#<alt (/ (* (pow (sqrt -1) 2) (atan2 im re)) (log 1/10))>
#<alt (/ (* (pow (sqrt -1) 2) (atan2 im re)) (log 1/10))>
#<alt (/ (* (pow (sqrt -1) 2) (atan2 im re)) (log 1/10))>
#<alt (/ (* (pow (sqrt -1) 2) (atan2 im re)) (log 1/10))>
#<alt (/ (* (pow (sqrt -1) 2) (atan2 im re)) (log 1/10))>
#<alt (/ (* (pow (sqrt -1) 2) (atan2 im re)) (log 1/10))>
#<alt (/ (* (pow (sqrt -1) 2) (atan2 im re)) (log 1/10))>
#<alt (/ (* (pow (sqrt -1) 2) (atan2 im re)) (log 1/10))>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (sqrt (/ (atan2 im re) (log 10)))>
#<alt (sqrt (/ (atan2 im re) (log 10)))>
#<alt (sqrt (/ (atan2 im re) (log 10)))>
#<alt (sqrt (/ (atan2 im re) (log 10)))>
#<alt (sqrt (/ (atan2 im re) (log 10)))>
#<alt (sqrt (/ (atan2 im re) (log 10)))>
#<alt (sqrt (/ (atan2 im re) (log 10)))>
#<alt (sqrt (/ (atan2 im re) (log 10)))>
#<alt (sqrt (/ (atan2 im re) (log 10)))>
#<alt (sqrt (/ (atan2 im re) (log 10)))>
#<alt (sqrt (/ (atan2 im re) (log 10)))>
#<alt (sqrt (/ (atan2 im re) (log 10)))>
#<alt (sqrt (/ (atan2 im re) (log 10)))>
#<alt (sqrt (/ (atan2 im re) (log 10)))>
#<alt (sqrt (/ (atan2 im re) (log 10)))>
#<alt (sqrt (/ (atan2 im re) (log 10)))>
#<alt (sqrt (/ (atan2 im re) (log 10)))>
#<alt (sqrt (/ (atan2 im re) (log 10)))>
#<alt (sqrt (/ (atan2 im re) (log 10)))>
#<alt (sqrt (/ (atan2 im re) (log 10)))>
#<alt (sqrt (/ (atan2 im re) (log 10)))>
#<alt (sqrt (/ (atan2 im re) (log 10)))>
#<alt (sqrt (/ (atan2 im re) (log 10)))>
#<alt (sqrt (/ (atan2 im re) (log 10)))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>

Calls

30 calls:

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

rewrite37.0ms (1.2%)

Memory

8.4MiB live, 82.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

108×	`-lowering-.f32`
108×	`-lowering-.f64`
92×	`/-lowering-/.f32`
92×	`/-lowering-/.f64`
54×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	61
1	56	45
0	223	45

Stop Event

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

Counts

10 → 172

Calls

Call 1

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

Outputs
(exp.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64)))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64)))) #s(literal 1 binary64)))
(sqrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 10 binary64))))
(/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
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(pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64)))) #s(literal 2 binary64))
(pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64)))))) #s(literal 2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 10 binary64))))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 10 binary64))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64)))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 10 binary64))) #s(literal -1 binary64))
(.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64)))))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64)))))))
(log.f64 #s(literal 10 binary64))
(-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64)))
(neg.f64 (log.f64 #s(literal 1/10 binary64)))
(*.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64)))

simplify22.0ms (0.7%)

Memory

11.8MiB live, 53.2MiB allocated

Algorithm

1×	egg-herbie

Rules

44×	`-lowering-.f32`
44×	`-lowering-.f64`
40×	`+-lowering-+.f64`
40×	`+-lowering-+.f32`
40×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	792
1	19	720
2	29	696
3	39	696
4	49	696
5	60	696
6	68	696
7	74	696
8	85	696
9	115	696
10	134	696
11	136	696
0	136	696

Stop Event

1×	iter limit
1×	saturated

Counts

120 → 120

Calls

Call 1

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

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

eval33.0ms (1.1%)

Memory: -23.0MiB live, 86.2MiB allocated
Compiler: Compiled 3 409 to 369 computations (89.2% saved)

prune26.0ms (0.9%)

Memory

23.2MiB live, 65.5MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	317	0	317
Fresh	0	0	0
Picked	0	2	2
Done	0	6	6
Total	317	8	325

Accuracy

100.0%

Counts

325 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.9%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))) #s(literal 2 binary64))
✓	99.7%	(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
✓	98.7%	(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
✓	97.4%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
✓	99.2%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
✓	98.2%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re)))
✓	99.3%	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re)))
✓	98.8%	(*.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (log.f64 #s(literal 1/10 binary64)))) #s(literal 2 binary64)))

Compiler

Compiled 179 to 104 computations (41.9% saved)

regimes15.0ms (0.5%)

Memory

-1.6MiB live, 36.7MiB allocated

Counts

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes6.0ms (0.2%)

Memory

-22.3MiB live, 15.0MiB 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 19 to 13 computations (31.6% saved)

simplify7.0ms (0.2%)

Memory

18.7MiB live, 18.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	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)))

soundness57.0ms (1.9%)

Memory

3.2MiB live, 79.3MiB allocated

Rules

520×	`-lowering-.f32`
520×	`-lowering-.f64`
470×	`/-lowering-/.f32`
470×	`/-lowering-/.f64`
134×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	14	11
2	52	11
3	211	11
0	1201	11

Stop Event

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

preprocess26.0ms (0.9%)

Memory: 13.7MiB live, 89.8MiB allocated
Compiler: Compiled 46 to 32 computations (30.4% 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	6	6

Iter	Nodes	Cost
0	21	115
1	38	115
2	67	111
3	103	111
4	186	111
5	272	111
6	327	111
7	356	111
8	381	111
9	410	111
10	424	111
11	428	111
0	428	111

Iter	Nodes	Cost
0	16	74
1	19	59
2	24	59
3	32	58
4	35	58
5	39	58
6	45	58
7	51	58
8	58	58
9	68	58
10	90	58
11	107	58
12	111	58
0	111	58

Iter	Nodes	Cost
0	15	792
1	19	720
2	29	696
3	39	696
4	49	696
5	60	696
6	68	696
7	74	696
8	85	696
9	115	696
10	134	696
11	136	696
0	136	696

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	6	6

Iter	Nodes	Cost
0	21	115
1	38	115
2	67	111
3	103	111
4	186	111
5	272	111
6	327	111
7	356	111
8	381	111
9	410	111
10	424	111
11	428	111
0	428	111

Iter	Nodes	Cost
0	16	74
1	19	59
2	24	59
3	32	58
4	35	58
5	39	58
6	45	58
7	51	58
8	58	58
9	68	58
10	90	58
11	107	58
12	111	58
0	111	58

Iter	Nodes	Cost
0	15	792
1	19	720
2	29	696
3	39	696
4	49	696
5	60	696
6	68	696
7	74	696
8	85	696
9	115	696
10	134	696
11	136	696
0	136	696

analyze2.0ms (0.1%)

sample731.0ms (24.3%)

preprocess17.0ms (0.6%)

explain63.0ms (2.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0.1%)

localize22.0ms (0.7%)

series49.0ms (1.6%)

rewrite79.0ms (2.6%)

simplify9.0ms (0.3%)

eval20.0ms (0.7%)

prune26.0ms (0.9%)

simplify18.0ms (0.6%)

localize122.0ms (4.1%)

series82.0ms (2.7%)

rewrite175.0ms (5.8%)

simplify33.0ms (1.1%)

eval167.0ms (5.5%)

prune108.0ms (3.6%)

simplify177.0ms (5.9%)

localize95.0ms (3.1%)

series27.0ms (0.9%)

rewrite135.0ms (4.5%)

simplify27.0ms (0.9%)

eval94.0ms (3.1%)

prune123.0ms (4.1%)

simplify36.0ms (1.2%)

localize333.0ms (11.1%)

series7.0ms (0.2%)

rewrite37.0ms (1.2%)

simplify22.0ms (0.7%)

eval33.0ms (1.1%)

prune26.0ms (0.9%)

regimes15.0ms (0.5%)

regimes6.0ms (0.2%)

simplify7.0ms (0.2%)

soundness57.0ms (1.9%)

preprocess26.0ms (0.9%)

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	6	6

Iter	Nodes	Cost
0	21	115
1	38	115
2	67	111
3	103	111
4	186	111
5	272	111
6	327	111
7	356	111
8	381	111
9	410	111
10	424	111
11	428	111
0	428	111

Iter	Nodes	Cost
0	16	74
1	19	59
2	24	59
3	32	58
4	35	58
5	39	58
6	45	58
7	51	58
8	58	58
9	68	58
10	90	58
11	107	58
12	111	58
0	111	58

Iter	Nodes	Cost
0	15	792
1	19	720
2	29	696
3	39	696
4	49	696
5	60	696
6	68	696
7	74	696
8	85	696
9	115	696
10	134	696
11	136	696
0	136	696